Time bar (total: 37.6s)
| 1× | search |
| True | Other | False | Iter |
|---|---|---|---|
| 0% | 25% | 75% | 0 |
| 0% | 25% | 75% | 1 |
| 0% | 12.5% | 87.5% | 2 |
| 0% | 6.3% | 93.7% | 3 |
| 0% | 3.1% | 96.9% | 4 |
| 0% | 1.6% | 98.4% | 5 |
| 0% | 0.8% | 99.2% | 6 |
| 0% | 0.8% | 99.2% | 7 |
| 0.2% | 0.6% | 99.2% | 8 |
| 0.2% | 0.6% | 99.2% | 9 |
| 0.2% | 0.1% | 99.7% | 10 |
| 0.2% | 0.1% | 99.7% | 11 |
| 0.2% | 0% | 99.8% | 12 |
Compiled 98 to 86 computations (12.2% saved)
| 4.7s | 8256× | body | 256 | valid |
| 967.0ms | 1624× | body | 256 | invalid |
| 2× | egg-herbie |
| 867× | times-frac_binary64 |
| 687× | fma-def_binary64 |
| 654× | associate-*l/_binary64 |
| 647× | associate-*r/_binary64 |
| 325× | associate-+l+_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 56 | 110 |
| 1 | 145 | 101 |
| 2 | 465 | 99 |
| 3 | 3026 | 99 |
| 0 | 1 | 1 |
| 1× | saturated |
| 1× | node limit |
| Inputs |
|---|
0 |
| Outputs |
|---|
0 |
| Inputs |
|---|
(*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8)))) |
| Outputs |
|---|
(*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8)))) |
(*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 z -1) 15/2) (-.f64 z 1/2))) (exp.f64 (+.f64 (neg.f64 (-.f64 z -6)) -1/2))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 z 0))) (/.f64 -3147848041806007/2500000000000 (-.f64 z -1))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 z -2)) (/.f64 -883075145810703/5000000000000 (-.f64 z -3)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 z -5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 z -6)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 z -7))))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (neg.f64 (+.f64 z 13/2)))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))) (/.f64 -883075145810703/5000000000000 (+.f64 z 3)))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (/.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))) (/.f64 7713234287776531/10000000000000 (+.f64 2 z))) (/.f64 2501468655737381/200000000000000 (+.f64 z 4)))) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6))))) (exp.f64 (+.f64 z 13/2))))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))) |
Compiled 96 to 85 computations (11.5% saved)
| 1× | egg-herbie |
| 867× | times-frac_binary64 |
| 687× | fma-def_binary64 |
| 654× | associate-*l/_binary64 |
| 647× | associate-*r/_binary64 |
| 325× | associate-+l+_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 56 | 110 |
| 1 | 145 | 101 |
| 2 | 465 | 99 |
| 3 | 3026 | 99 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8)))) |
| Outputs |
|---|
(*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8)))) |
(*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 z -1) 15/2) (-.f64 z 1/2))) (exp.f64 (+.f64 (neg.f64 (-.f64 z -6)) -1/2))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 z 0))) (/.f64 -3147848041806007/2500000000000 (-.f64 z -1))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 z -2)) (/.f64 -883075145810703/5000000000000 (-.f64 z -3)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 z -5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 z -6)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 z -7))))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (neg.f64 (+.f64 z 13/2)))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))) (/.f64 -883075145810703/5000000000000 (+.f64 z 3)))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (/.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))) (/.f64 7713234287776531/10000000000000 (+.f64 2 z))) (/.f64 2501468655737381/200000000000000 (+.f64 z 4)))) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6))))) (exp.f64 (+.f64 z 13/2))))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))) |
Compiled 160 to 137 computations (14.4% saved)
3 alts after pruning (3 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 0 | 2 | 2 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 0 | 0 |
| Total | 0 | 3 | 3 |
| Status | Error | Program |
|---|---|---|
| ▶ | 3.7b | (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8)))) |
| ▶ | 3.7b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))) |
Compiled 161 to 139 computations (13.7% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.8b | (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) |
| ✓ | 1.0b | (sqrt.f64 (*.f64 (PI.f64) 2)) |
| ✓ | 1.2b | (exp.f64 (+.f64 z 13/2)) |
| ✓ | 1.7b | (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))) |
Compiled 401 to 324 computations (19.2% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | z | @ | 0 | (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))) |
| 1.0ms | z | @ | -inf | (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))) |
| 1.0ms | z | @ | inf | (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) |
| 1.0ms | z | @ | inf | (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))) |
| 1.0ms | z | @ | 0 | (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) |
| 1× | batch-egg-rewrite |
| 319× | add-sqr-sqrt_binary64 |
| 303× | add-log-exp_binary64 |
| 302× | log1p-expm1-u_binary64 |
| 302× | expm1-log1p-u_binary64 |
| 301× | add-cbrt-cube_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 26 | 56 |
| 1 | 627 | 56 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))) |
(exp.f64 (+.f64 z 13/2)) |
(sqrt.f64 (*.f64 (PI.f64) 2)) |
(+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (neg.f64 (+.f64 z 13/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))) 2) (cbrt.f64 (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))) (sqrt.f64 (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))) (/.f64 1 (neg.f64 (exp.f64 (+.f64 z 13/2)))))))) 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2))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z))) 2) (cbrt.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) 2) (cbrt.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z))) (sqrt.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) (sqrt.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z))))))) |
| 1× | egg-herbie |
| 402× | fma-neg_binary64 |
| 338× | fma-def_binary64 |
| 332× | cancel-sign-sub-inv_binary64 |
| 319× | sub-neg_binary64 |
| 285× | distribute-rgt-neg-out_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 106 | 805 |
| 1 | 303 | 789 |
| 2 | 896 | 767 |
| 3 | 3893 | 689 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) |
(+.f64 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) (*.f64 (-.f64 (/.f64 (*.f64 (-.f64 (log.f64 13/2) 1/13) (sqrt.f64 2/13)) (exp.f64 13/2)) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) z)) |
(+.f64 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) (+.f64 (*.f64 (-.f64 (+.f64 (/.f64 (*.f64 (+.f64 27/169 (*.f64 1/2 (pow.f64 (-.f64 (log.f64 13/2) 1/13) 2))) (sqrt.f64 2/13)) (exp.f64 13/2)) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) (+.f64 (*.f64 1/2 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) (/.f64 (*.f64 (-.f64 (log.f64 13/2) 1/13) (sqrt.f64 2/13)) (exp.f64 13/2)))) (pow.f64 z 2)) (*.f64 (-.f64 (/.f64 (*.f64 (-.f64 (log.f64 13/2) 1/13) (sqrt.f64 2/13)) (exp.f64 13/2)) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) z))) |
(+.f64 (*.f64 (-.f64 (+.f64 (*.f64 1/2 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) (+.f64 (/.f64 (*.f64 (-.f64 (log.f64 13/2) 1/13) (sqrt.f64 2/13)) (exp.f64 13/2)) (/.f64 (*.f64 (-.f64 (+.f64 (*.f64 27/169 (-.f64 (log.f64 13/2) 1/13)) (*.f64 1/6 (pow.f64 (-.f64 (log.f64 13/2) 1/13) 3))) 82/6591) (sqrt.f64 2/13)) (exp.f64 13/2)))) (+.f64 (*.f64 1/2 (-.f64 (/.f64 (*.f64 (-.f64 (log.f64 13/2) 1/13) (sqrt.f64 2/13)) (exp.f64 13/2)) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)))) (+.f64 (/.f64 (*.f64 (+.f64 27/169 (*.f64 1/2 (pow.f64 (-.f64 (log.f64 13/2) 1/13) 2))) (sqrt.f64 2/13)) (exp.f64 13/2)) (+.f64 (*.f64 1/6 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)))))) (pow.f64 z 3)) (+.f64 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) (+.f64 (*.f64 (-.f64 (+.f64 (/.f64 (*.f64 (+.f64 27/169 (*.f64 1/2 (pow.f64 (-.f64 (log.f64 13/2) 1/13) 2))) (sqrt.f64 2/13)) (exp.f64 13/2)) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) (+.f64 (*.f64 1/2 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) (/.f64 (*.f64 (-.f64 (log.f64 13/2) 1/13) (sqrt.f64 2/13)) (exp.f64 13/2)))) (pow.f64 z 2)) (*.f64 (-.f64 (/.f64 (*.f64 (-.f64 (log.f64 13/2) 1/13) (sqrt.f64 2/13)) (exp.f64 13/2)) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) z)))) |
(/.f64 (pow.f64 (+.f64 13/2 z) (-.f64 z 1/2)) (exp.f64 (+.f64 13/2 z))) |
(/.f64 (pow.f64 (+.f64 13/2 z) (-.f64 z 1/2)) (exp.f64 (+.f64 13/2 z))) |
(/.f64 (pow.f64 (+.f64 13/2 z) (-.f64 z 1/2)) (exp.f64 (+.f64 13/2 z))) |
(/.f64 (pow.f64 (+.f64 13/2 z) (-.f64 z 1/2)) (exp.f64 (+.f64 13/2 z))) |
(/.f64 (exp.f64 (*.f64 -1 (*.f64 (log.f64 (-.f64 13/2 (*.f64 -1 z))) (+.f64 (*.f64 -1 z) 1/2)))) (exp.f64 (-.f64 13/2 (*.f64 -1 z)))) |
(/.f64 (exp.f64 (*.f64 -1 (*.f64 (log.f64 (-.f64 13/2 (*.f64 -1 z))) (+.f64 (*.f64 -1 z) 1/2)))) (exp.f64 (-.f64 13/2 (*.f64 -1 z)))) |
(/.f64 (exp.f64 (*.f64 -1 (*.f64 (log.f64 (-.f64 13/2 (*.f64 -1 z))) (+.f64 (*.f64 -1 z) 1/2)))) (exp.f64 (-.f64 13/2 (*.f64 -1 z)))) |
(/.f64 (exp.f64 (*.f64 -1 (*.f64 (log.f64 (-.f64 13/2 (*.f64 -1 z))) (+.f64 (*.f64 -1 z) 1/2)))) (exp.f64 (-.f64 13/2 (*.f64 -1 z)))) |
(exp.f64 13/2) |
(+.f64 (exp.f64 13/2) (*.f64 (exp.f64 13/2) z)) |
(+.f64 (*.f64 1/2 (*.f64 (exp.f64 13/2) (pow.f64 z 2))) (+.f64 (exp.f64 13/2) (*.f64 (exp.f64 13/2) z))) |
(+.f64 (*.f64 1/2 (*.f64 (exp.f64 13/2) (pow.f64 z 2))) (+.f64 (exp.f64 13/2) (+.f64 (*.f64 1/6 (*.f64 (exp.f64 13/2) (pow.f64 z 3))) (*.f64 (exp.f64 13/2) z)))) |
(exp.f64 (+.f64 13/2 z)) |
(exp.f64 (+.f64 13/2 z)) |
(exp.f64 (+.f64 13/2 z)) |
(exp.f64 (+.f64 13/2 z)) |
(exp.f64 (-.f64 13/2 (*.f64 -1 z))) |
(exp.f64 (-.f64 13/2 (*.f64 -1 z))) |
(exp.f64 (-.f64 13/2 (*.f64 -1 z))) |
(exp.f64 (-.f64 13/2 (*.f64 -1 z))) |
(/.f64 6765203681218851/10000000000000 z) |
(-.f64 (*.f64 6765203681218851/10000000000000 (/.f64 1 z)) 8724775023335764401/10000000000000000) |
(-.f64 (+.f64 (*.f64 42652334381119581/40000000000000 z) (*.f64 6765203681218851/10000000000000 (/.f64 1 z))) 8724775023335764401/10000000000000000) |
(-.f64 (+.f64 (*.f64 -93017903050015693/80000000000000 (pow.f64 z 2)) (+.f64 (*.f64 42652334381119581/40000000000000 z) (*.f64 6765203681218851/10000000000000 (/.f64 1 z)))) 8724775023335764401/10000000000000000) |
9999999999998099/10000000000000000 |
(+.f64 9999999999998099/10000000000000000 (*.f64 943522900885677/5000000000000 (/.f64 1 z))) |
(-.f64 (+.f64 9999999999998099/10000000000000000 (*.f64 943522900885677/5000000000000 (/.f64 1 z))) (*.f64 1417538204164517/5000000000000 (/.f64 1 (pow.f64 z 2)))) |
(-.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (*.f64 1141346561492631/625000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 943522900885677/5000000000000 (/.f64 1 z)))) (*.f64 1417538204164517/5000000000000 (/.f64 1 (pow.f64 z 2)))) |
9999999999998099/10000000000000000 |
(+.f64 9999999999998099/10000000000000000 (*.f64 943522900885677/5000000000000 (/.f64 1 z))) |
(-.f64 (+.f64 9999999999998099/10000000000000000 (*.f64 943522900885677/5000000000000 (/.f64 1 z))) (*.f64 1417538204164517/5000000000000 (/.f64 1 (pow.f64 z 2)))) |
(-.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (*.f64 1141346561492631/625000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 943522900885677/5000000000000 (/.f64 1 z)))) (*.f64 1417538204164517/5000000000000 (/.f64 1 (pow.f64 z 2)))) |
| Outputs |
|---|
(/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) |
(+.f64 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) (*.f64 (-.f64 (/.f64 (*.f64 (-.f64 (log.f64 13/2) 1/13) (sqrt.f64 2/13)) (exp.f64 13/2)) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) z)) |
(+.f64 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) (*.f64 (-.f64 (/.f64 (+.f64 (log.f64 13/2) -1/13) (/.f64 (exp.f64 13/2) (sqrt.f64 2/13))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) z)) |
(fma.f64 (-.f64 (/.f64 (sqrt.f64 2/13) (/.f64 (exp.f64 13/2) (+.f64 (log.f64 13/2) -1/13))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) z (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) |
(fma.f64 (-.f64 (*.f64 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) (+.f64 (log.f64 13/2) -1/13)) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) z (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) |
(fma.f64 (*.f64 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) (+.f64 (+.f64 (log.f64 13/2) -1/13) -1)) z (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) |
(+.f64 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) (+.f64 (*.f64 (-.f64 (+.f64 (/.f64 (*.f64 (+.f64 27/169 (*.f64 1/2 (pow.f64 (-.f64 (log.f64 13/2) 1/13) 2))) (sqrt.f64 2/13)) (exp.f64 13/2)) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) (+.f64 (*.f64 1/2 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) (/.f64 (*.f64 (-.f64 (log.f64 13/2) 1/13) (sqrt.f64 2/13)) (exp.f64 13/2)))) (pow.f64 z 2)) (*.f64 (-.f64 (/.f64 (*.f64 (-.f64 (log.f64 13/2) 1/13) (sqrt.f64 2/13)) (exp.f64 13/2)) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) z))) |
(+.f64 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) (fma.f64 (+.f64 (/.f64 (+.f64 27/169 (*.f64 1/2 (pow.f64 (+.f64 (log.f64 13/2) -1/13) 2))) (/.f64 (exp.f64 13/2) (sqrt.f64 2/13))) (-.f64 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) (fma.f64 1/2 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) (/.f64 (+.f64 (log.f64 13/2) -1/13) (/.f64 (exp.f64 13/2) (sqrt.f64 2/13)))))) (*.f64 z z) (*.f64 (-.f64 (/.f64 (+.f64 (log.f64 13/2) -1/13) (/.f64 (exp.f64 13/2) (sqrt.f64 2/13))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) z))) |
(+.f64 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) (fma.f64 (-.f64 (/.f64 (sqrt.f64 2/13) (/.f64 (exp.f64 13/2) (+.f64 (log.f64 13/2) -1/13))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) z (*.f64 z (*.f64 z (+.f64 (/.f64 (fma.f64 1/2 (pow.f64 (+.f64 (log.f64 13/2) -1/13) 2) 27/169) (/.f64 (exp.f64 13/2) (sqrt.f64 2/13))) (-.f64 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) (fma.f64 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) 1/2 (/.f64 (sqrt.f64 2/13) (/.f64 (exp.f64 13/2) (+.f64 (log.f64 13/2) -1/13)))))))))) |
(fma.f64 (-.f64 (*.f64 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) (+.f64 (log.f64 13/2) -1/13)) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) z (fma.f64 (fma.f64 (/.f64 (fma.f64 1/2 (pow.f64 (+.f64 (log.f64 13/2) -1/13) 2) 27/169) (exp.f64 13/2)) (sqrt.f64 2/13) (-.f64 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) (fma.f64 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) 1/2 (*.f64 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) (+.f64 (log.f64 13/2) -1/13))))) (*.f64 z z) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)))) |
(fma.f64 (*.f64 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) (+.f64 (+.f64 (log.f64 13/2) -1/13) -1)) z (fma.f64 z (*.f64 z (-.f64 (/.f64 (*.f64 (sqrt.f64 2/13) 1/2) (exp.f64 13/2)) (*.f64 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) (-.f64 (+.f64 (log.f64 13/2) -1/13) (fma.f64 1/2 (pow.f64 (+.f64 (log.f64 13/2) -1/13) 2) 27/169))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)))) |
(+.f64 (*.f64 (-.f64 (+.f64 (*.f64 1/2 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) (+.f64 (/.f64 (*.f64 (-.f64 (log.f64 13/2) 1/13) (sqrt.f64 2/13)) (exp.f64 13/2)) (/.f64 (*.f64 (-.f64 (+.f64 (*.f64 27/169 (-.f64 (log.f64 13/2) 1/13)) (*.f64 1/6 (pow.f64 (-.f64 (log.f64 13/2) 1/13) 3))) 82/6591) (sqrt.f64 2/13)) (exp.f64 13/2)))) (+.f64 (*.f64 1/2 (-.f64 (/.f64 (*.f64 (-.f64 (log.f64 13/2) 1/13) (sqrt.f64 2/13)) (exp.f64 13/2)) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)))) (+.f64 (/.f64 (*.f64 (+.f64 27/169 (*.f64 1/2 (pow.f64 (-.f64 (log.f64 13/2) 1/13) 2))) (sqrt.f64 2/13)) (exp.f64 13/2)) (+.f64 (*.f64 1/6 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)))))) (pow.f64 z 3)) (+.f64 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) (+.f64 (*.f64 (-.f64 (+.f64 (/.f64 (*.f64 (+.f64 27/169 (*.f64 1/2 (pow.f64 (-.f64 (log.f64 13/2) 1/13) 2))) (sqrt.f64 2/13)) (exp.f64 13/2)) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) (+.f64 (*.f64 1/2 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) (/.f64 (*.f64 (-.f64 (log.f64 13/2) 1/13) (sqrt.f64 2/13)) (exp.f64 13/2)))) (pow.f64 z 2)) (*.f64 (-.f64 (/.f64 (*.f64 (-.f64 (log.f64 13/2) 1/13) (sqrt.f64 2/13)) (exp.f64 13/2)) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) z)))) |
(fma.f64 (-.f64 (+.f64 (fma.f64 1/2 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) (/.f64 (+.f64 (log.f64 13/2) -1/13) (/.f64 (exp.f64 13/2) (sqrt.f64 2/13)))) (/.f64 (+.f64 (fma.f64 27/169 (+.f64 (log.f64 13/2) -1/13) (*.f64 1/6 (pow.f64 (+.f64 (log.f64 13/2) -1/13) 3))) -82/6591) (/.f64 (exp.f64 13/2) (sqrt.f64 2/13)))) (fma.f64 1/2 (-.f64 (/.f64 (+.f64 (log.f64 13/2) -1/13) (/.f64 (exp.f64 13/2) (sqrt.f64 2/13))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) (+.f64 (/.f64 (+.f64 27/169 (*.f64 1/2 (pow.f64 (+.f64 (log.f64 13/2) -1/13) 2))) (/.f64 (exp.f64 13/2) (sqrt.f64 2/13))) (*.f64 7/6 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)))))) (pow.f64 z 3) (+.f64 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) (fma.f64 (+.f64 (/.f64 (+.f64 27/169 (*.f64 1/2 (pow.f64 (+.f64 (log.f64 13/2) -1/13) 2))) (/.f64 (exp.f64 13/2) (sqrt.f64 2/13))) (-.f64 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) (fma.f64 1/2 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) (/.f64 (+.f64 (log.f64 13/2) -1/13) (/.f64 (exp.f64 13/2) (sqrt.f64 2/13)))))) (*.f64 z z) (*.f64 (-.f64 (/.f64 (+.f64 (log.f64 13/2) -1/13) (/.f64 (exp.f64 13/2) (sqrt.f64 2/13))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) z)))) |
(+.f64 (fma.f64 (-.f64 (/.f64 (sqrt.f64 2/13) (/.f64 (exp.f64 13/2) (+.f64 (log.f64 13/2) -1/13))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) z (*.f64 z (*.f64 z (+.f64 (/.f64 (fma.f64 1/2 (pow.f64 (+.f64 (log.f64 13/2) -1/13) 2) 27/169) (/.f64 (exp.f64 13/2) (sqrt.f64 2/13))) (-.f64 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) (fma.f64 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) 1/2 (/.f64 (sqrt.f64 2/13) (/.f64 (exp.f64 13/2) (+.f64 (log.f64 13/2) -1/13))))))))) (fma.f64 (-.f64 (+.f64 (fma.f64 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) 1/2 (/.f64 (sqrt.f64 2/13) (/.f64 (exp.f64 13/2) (+.f64 (log.f64 13/2) -1/13)))) (/.f64 (fma.f64 (+.f64 (log.f64 13/2) -1/13) 27/169 (fma.f64 1/6 (pow.f64 (+.f64 (log.f64 13/2) -1/13) 3) -82/6591)) (/.f64 (exp.f64 13/2) (sqrt.f64 2/13)))) (fma.f64 (-.f64 (/.f64 (sqrt.f64 2/13) (/.f64 (exp.f64 13/2) (+.f64 (log.f64 13/2) -1/13))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) 1/2 (fma.f64 7/6 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) (/.f64 (fma.f64 1/2 (pow.f64 (+.f64 (log.f64 13/2) -1/13) 2) 27/169) (/.f64 (exp.f64 13/2) (sqrt.f64 2/13)))))) (pow.f64 z 3) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)))) |
(fma.f64 (-.f64 (fma.f64 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) 1/2 (*.f64 (sqrt.f64 2/13) (+.f64 (/.f64 (+.f64 (log.f64 13/2) -1/13) (exp.f64 13/2)) (/.f64 (fma.f64 1/6 (pow.f64 (+.f64 (log.f64 13/2) -1/13) 3) (+.f64 (*.f64 (log.f64 13/2) 27/169) -163/6591)) (exp.f64 13/2))))) (fma.f64 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) 7/6 (fma.f64 (/.f64 (fma.f64 1/2 (pow.f64 (+.f64 (log.f64 13/2) -1/13) 2) 27/169) (exp.f64 13/2)) (sqrt.f64 2/13) (*.f64 (-.f64 (*.f64 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) (+.f64 (log.f64 13/2) -1/13)) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) 1/2)))) (pow.f64 z 3) (fma.f64 (-.f64 (*.f64 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) (+.f64 (log.f64 13/2) -1/13)) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) z (fma.f64 (fma.f64 (/.f64 (fma.f64 1/2 (pow.f64 (+.f64 (log.f64 13/2) -1/13) 2) 27/169) (exp.f64 13/2)) (sqrt.f64 2/13) (-.f64 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) (fma.f64 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) 1/2 (*.f64 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) (+.f64 (log.f64 13/2) -1/13))))) (*.f64 z z) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))))) |
(fma.f64 (+.f64 (*.f64 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) (+.f64 (+.f64 (log.f64 13/2) -1/13) (fma.f64 1/6 (pow.f64 (+.f64 (log.f64 13/2) -1/13) 3) (+.f64 (*.f64 (log.f64 13/2) 27/169) -163/6591)))) (-.f64 (*.f64 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) -2/3) (fma.f64 (*.f64 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) (+.f64 (+.f64 (log.f64 13/2) -1/13) -1)) 1/2 (*.f64 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) (fma.f64 1/2 (pow.f64 (+.f64 (log.f64 13/2) -1/13) 2) 27/169))))) (pow.f64 z 3) (fma.f64 (*.f64 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) (+.f64 (+.f64 (log.f64 13/2) -1/13) -1)) z (fma.f64 z (*.f64 z (-.f64 (/.f64 (*.f64 (sqrt.f64 2/13) 1/2) (exp.f64 13/2)) (*.f64 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) (-.f64 (+.f64 (log.f64 13/2) -1/13) (fma.f64 1/2 (pow.f64 (+.f64 (log.f64 13/2) -1/13) 2) 27/169))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))))) |
(/.f64 (pow.f64 (+.f64 13/2 z) (-.f64 z 1/2)) (exp.f64 (+.f64 13/2 z))) |
(/.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)) (exp.f64 (+.f64 13/2 z))) |
(*.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)) (exp.f64 (-.f64 -13/2 z))) |
(/.f64 (pow.f64 (+.f64 13/2 z) (-.f64 z 1/2)) (exp.f64 (+.f64 13/2 z))) |
(/.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)) (exp.f64 (+.f64 13/2 z))) |
(*.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)) (exp.f64 (-.f64 -13/2 z))) |
(/.f64 (pow.f64 (+.f64 13/2 z) (-.f64 z 1/2)) (exp.f64 (+.f64 13/2 z))) |
(/.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)) (exp.f64 (+.f64 13/2 z))) |
(*.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)) (exp.f64 (-.f64 -13/2 z))) |
(/.f64 (pow.f64 (+.f64 13/2 z) (-.f64 z 1/2)) (exp.f64 (+.f64 13/2 z))) |
(/.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)) (exp.f64 (+.f64 13/2 z))) |
(*.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)) (exp.f64 (-.f64 -13/2 z))) |
(/.f64 (exp.f64 (*.f64 -1 (*.f64 (log.f64 (-.f64 13/2 (*.f64 -1 z))) (+.f64 (*.f64 -1 z) 1/2)))) (exp.f64 (-.f64 13/2 (*.f64 -1 z)))) |
(/.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)) (exp.f64 (+.f64 13/2 z))) |
(*.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)) (exp.f64 (-.f64 -13/2 z))) |
(/.f64 (exp.f64 (*.f64 -1 (*.f64 (log.f64 (-.f64 13/2 (*.f64 -1 z))) (+.f64 (*.f64 -1 z) 1/2)))) (exp.f64 (-.f64 13/2 (*.f64 -1 z)))) |
(/.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)) (exp.f64 (+.f64 13/2 z))) |
(*.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)) (exp.f64 (-.f64 -13/2 z))) |
(/.f64 (exp.f64 (*.f64 -1 (*.f64 (log.f64 (-.f64 13/2 (*.f64 -1 z))) (+.f64 (*.f64 -1 z) 1/2)))) (exp.f64 (-.f64 13/2 (*.f64 -1 z)))) |
(/.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)) (exp.f64 (+.f64 13/2 z))) |
(*.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)) (exp.f64 (-.f64 -13/2 z))) |
(/.f64 (exp.f64 (*.f64 -1 (*.f64 (log.f64 (-.f64 13/2 (*.f64 -1 z))) (+.f64 (*.f64 -1 z) 1/2)))) (exp.f64 (-.f64 13/2 (*.f64 -1 z)))) |
(/.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)) (exp.f64 (+.f64 13/2 z))) |
(*.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)) (exp.f64 (-.f64 -13/2 z))) |
(exp.f64 13/2) |
(+.f64 (exp.f64 13/2) (*.f64 (exp.f64 13/2) z)) |
(*.f64 (+.f64 z 1) (exp.f64 13/2)) |
(*.f64 (exp.f64 13/2) (+.f64 z 1)) |
(+.f64 (*.f64 1/2 (*.f64 (exp.f64 13/2) (pow.f64 z 2))) (+.f64 (exp.f64 13/2) (*.f64 (exp.f64 13/2) z))) |
(fma.f64 1/2 (*.f64 (exp.f64 13/2) (*.f64 z z)) (+.f64 (exp.f64 13/2) (*.f64 (exp.f64 13/2) z))) |
(fma.f64 1/2 (*.f64 (exp.f64 13/2) (*.f64 z z)) (*.f64 (+.f64 z 1) (exp.f64 13/2))) |
(*.f64 (exp.f64 13/2) (+.f64 (+.f64 z 1) (*.f64 z (*.f64 z 1/2)))) |
(*.f64 (exp.f64 13/2) (+.f64 (+.f64 z 1) (*.f64 (*.f64 1/2 z) z))) |
(+.f64 (*.f64 1/2 (*.f64 (exp.f64 13/2) (pow.f64 z 2))) (+.f64 (exp.f64 13/2) (+.f64 (*.f64 1/6 (*.f64 (exp.f64 13/2) (pow.f64 z 3))) (*.f64 (exp.f64 13/2) z)))) |
(fma.f64 1/2 (*.f64 (exp.f64 13/2) (*.f64 z z)) (+.f64 (exp.f64 13/2) (fma.f64 1/6 (*.f64 (exp.f64 13/2) (pow.f64 z 3)) (*.f64 (exp.f64 13/2) z)))) |
(+.f64 (fma.f64 (*.f64 (exp.f64 13/2) 1/6) (pow.f64 z 3) (*.f64 (exp.f64 13/2) z)) (fma.f64 (*.f64 (exp.f64 13/2) 1/2) (*.f64 z z) (exp.f64 13/2))) |
(fma.f64 (exp.f64 13/2) (*.f64 z (*.f64 z 1/2)) (*.f64 (exp.f64 13/2) (+.f64 (+.f64 z 1) (*.f64 1/6 (pow.f64 z 3))))) |
(*.f64 (exp.f64 13/2) (+.f64 (*.f64 (*.f64 1/2 z) z) (+.f64 (+.f64 z 1) (*.f64 1/6 (pow.f64 z 3))))) |
(exp.f64 (+.f64 13/2 z)) |
(exp.f64 (+.f64 13/2 z)) |
(exp.f64 (+.f64 13/2 z)) |
(exp.f64 (+.f64 13/2 z)) |
(exp.f64 (-.f64 13/2 (*.f64 -1 z))) |
(exp.f64 (+.f64 13/2 z)) |
(exp.f64 (-.f64 13/2 (*.f64 -1 z))) |
(exp.f64 (+.f64 13/2 z)) |
(exp.f64 (-.f64 13/2 (*.f64 -1 z))) |
(exp.f64 (+.f64 13/2 z)) |
(exp.f64 (-.f64 13/2 (*.f64 -1 z))) |
(exp.f64 (+.f64 13/2 z)) |
(/.f64 6765203681218851/10000000000000 z) |
(-.f64 (*.f64 6765203681218851/10000000000000 (/.f64 1 z)) 8724775023335764401/10000000000000000) |
(+.f64 (/.f64 6765203681218851/10000000000000 z) -8724775023335764401/10000000000000000) |
(-.f64 (+.f64 (*.f64 42652334381119581/40000000000000 z) (*.f64 6765203681218851/10000000000000 (/.f64 1 z))) 8724775023335764401/10000000000000000) |
(+.f64 (fma.f64 42652334381119581/40000000000000 z (/.f64 6765203681218851/10000000000000 z)) -8724775023335764401/10000000000000000) |
(+.f64 (fma.f64 z 42652334381119581/40000000000000 (/.f64 6765203681218851/10000000000000 z)) -8724775023335764401/10000000000000000) |
(+.f64 (/.f64 6765203681218851/10000000000000 z) (fma.f64 z 42652334381119581/40000000000000 -8724775023335764401/10000000000000000)) |
(-.f64 (+.f64 (*.f64 -93017903050015693/80000000000000 (pow.f64 z 2)) (+.f64 (*.f64 42652334381119581/40000000000000 z) (*.f64 6765203681218851/10000000000000 (/.f64 1 z)))) 8724775023335764401/10000000000000000) |
(+.f64 (fma.f64 -93017903050015693/80000000000000 (*.f64 z z) (fma.f64 42652334381119581/40000000000000 z (/.f64 6765203681218851/10000000000000 z))) -8724775023335764401/10000000000000000) |
(+.f64 (fma.f64 (*.f64 z z) -93017903050015693/80000000000000 (fma.f64 z 42652334381119581/40000000000000 (/.f64 6765203681218851/10000000000000 z))) -8724775023335764401/10000000000000000) |
(+.f64 (fma.f64 z 42652334381119581/40000000000000 (/.f64 6765203681218851/10000000000000 z)) (fma.f64 z (*.f64 z -93017903050015693/80000000000000) -8724775023335764401/10000000000000000)) |
(+.f64 (/.f64 6765203681218851/10000000000000 z) (fma.f64 z (+.f64 42652334381119581/40000000000000 (*.f64 z -93017903050015693/80000000000000)) -8724775023335764401/10000000000000000)) |
9999999999998099/10000000000000000 |
(+.f64 9999999999998099/10000000000000000 (*.f64 943522900885677/5000000000000 (/.f64 1 z))) |
(+.f64 9999999999998099/10000000000000000 (/.f64 943522900885677/5000000000000 z)) |
(-.f64 (+.f64 9999999999998099/10000000000000000 (*.f64 943522900885677/5000000000000 (/.f64 1 z))) (*.f64 1417538204164517/5000000000000 (/.f64 1 (pow.f64 z 2)))) |
(+.f64 9999999999998099/10000000000000000 (-.f64 (/.f64 943522900885677/5000000000000 z) (/.f64 1417538204164517/5000000000000 (*.f64 z z)))) |
(+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 943522900885677/5000000000000 z)) (/.f64 -1417538204164517/5000000000000 (*.f64 z z))) |
(-.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (*.f64 1141346561492631/625000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 943522900885677/5000000000000 (/.f64 1 z)))) (*.f64 1417538204164517/5000000000000 (/.f64 1 (pow.f64 z 2)))) |
(+.f64 9999999999998099/10000000000000000 (-.f64 (+.f64 (/.f64 943522900885677/5000000000000 z) (/.f64 1141346561492631/625000000000 (pow.f64 z 3))) (/.f64 1417538204164517/5000000000000 (*.f64 z z)))) |
(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 1141346561492631/625000000000 (pow.f64 z 3)) (+.f64 (/.f64 943522900885677/5000000000000 z) (/.f64 -1417538204164517/5000000000000 (*.f64 z z))))) |
(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 943522900885677/5000000000000 z) (+.f64 (/.f64 1141346561492631/625000000000 (pow.f64 z 3)) (/.f64 -1417538204164517/5000000000000 (*.f64 z z))))) |
(+.f64 (+.f64 (/.f64 943522900885677/5000000000000 z) (+.f64 9999999999998099/10000000000000000 (/.f64 1141346561492631/625000000000 (pow.f64 z 3)))) (/.f64 -1417538204164517/5000000000000 (*.f64 z z))) |
9999999999998099/10000000000000000 |
(+.f64 9999999999998099/10000000000000000 (*.f64 943522900885677/5000000000000 (/.f64 1 z))) |
(+.f64 9999999999998099/10000000000000000 (/.f64 943522900885677/5000000000000 z)) |
(-.f64 (+.f64 9999999999998099/10000000000000000 (*.f64 943522900885677/5000000000000 (/.f64 1 z))) (*.f64 1417538204164517/5000000000000 (/.f64 1 (pow.f64 z 2)))) |
(+.f64 9999999999998099/10000000000000000 (-.f64 (/.f64 943522900885677/5000000000000 z) (/.f64 1417538204164517/5000000000000 (*.f64 z z)))) |
(+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 943522900885677/5000000000000 z)) (/.f64 -1417538204164517/5000000000000 (*.f64 z z))) |
(-.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (*.f64 1141346561492631/625000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 943522900885677/5000000000000 (/.f64 1 z)))) (*.f64 1417538204164517/5000000000000 (/.f64 1 (pow.f64 z 2)))) |
(+.f64 9999999999998099/10000000000000000 (-.f64 (+.f64 (/.f64 943522900885677/5000000000000 z) (/.f64 1141346561492631/625000000000 (pow.f64 z 3))) (/.f64 1417538204164517/5000000000000 (*.f64 z z)))) |
(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 1141346561492631/625000000000 (pow.f64 z 3)) (+.f64 (/.f64 943522900885677/5000000000000 z) (/.f64 -1417538204164517/5000000000000 (*.f64 z z))))) |
(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 943522900885677/5000000000000 z) (+.f64 (/.f64 1141346561492631/625000000000 (pow.f64 z 3)) (/.f64 -1417538204164517/5000000000000 (*.f64 z z))))) |
(+.f64 (+.f64 (/.f64 943522900885677/5000000000000 z) (+.f64 9999999999998099/10000000000000000 (/.f64 1141346561492631/625000000000 (pow.f64 z 3)))) (/.f64 -1417538204164517/5000000000000 (*.f64 z z))) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 1.0b | (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) |
| 1.0b | (sqrt.f64 (*.f64 (PI.f64) 2)) | |
| ✓ | 1.2b | (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2))) |
| ✓ | 1.7b | (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2)))) |
Compiled 605 to 524 computations (13.4% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | z | @ | 0 | (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2)))) |
| 1.0ms | z | @ | inf | (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2)))) |
| 1.0ms | z | @ | 0 | (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2))) |
| 1.0ms | z | @ | -inf | (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2)))) |
| 0.0ms | z | @ | inf | (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) |
| 1× | batch-egg-rewrite |
| 328× | add-sqr-sqrt_binary64 |
| 310× | add-log-exp_binary64 |
| 309× | pow1_binary64 |
| 309× | log1p-expm1-u_binary64 |
| 309× | expm1-log1p-u_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 27 | 65 |
| 1 | 654 | 58 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2)))) |
(exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2))) |
(+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) |
| Outputs |
|---|
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-1))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 z -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 -3147848041806007/2500000000000 (-.f64 z -1)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -3147848041806007/2500000000000 (/.f64 1 (-.f64 z -1)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 z -1))) 2) (cbrt.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 z -1))) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z))) 2) (cbrt.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 z -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 z -1))) (sqrt.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 z -1))) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z))) (sqrt.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 z -1))))))) |
| 1× | egg-herbie |
| 801× | fma-def_binary64 |
| 628× | associate-*l*_binary64 |
| 566× | associate-*r*_binary64 |
| 493× | fma-neg_binary64 |
| 314× | distribute-rgt-in_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 120 | 938 |
| 1 | 377 | 831 |
| 2 | 1305 | 762 |
| 3 | 6938 | 761 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (sqrt.f64 (PI.f64))) |
(+.f64 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (sqrt.f64 (PI.f64))) (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (+.f64 (*.f64 (-.f64 (log.f64 13/2) 1/13) (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (*.f64 -1 (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2)))) z)) (sqrt.f64 (PI.f64)))) |
(+.f64 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (+.f64 (*.f64 (+.f64 27/169 (*.f64 1/2 (pow.f64 (-.f64 (log.f64 13/2) 1/13) 2))) (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (*.f64 -1 (*.f64 (-.f64 (log.f64 13/2) 1/13) (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2)))))) (pow.f64 z 2))) (sqrt.f64 (PI.f64))) (+.f64 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (sqrt.f64 (PI.f64))) (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (+.f64 (*.f64 (-.f64 (log.f64 13/2) 1/13) (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (*.f64 -1 (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2)))) z)) (sqrt.f64 (PI.f64))))) |
(+.f64 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (+.f64 (*.f64 (+.f64 27/169 (*.f64 1/2 (pow.f64 (-.f64 (log.f64 13/2) 1/13) 2))) (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (*.f64 -1 (*.f64 (-.f64 (log.f64 13/2) 1/13) (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2)))))) (pow.f64 z 2))) (sqrt.f64 (PI.f64))) (+.f64 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (sqrt.f64 (PI.f64))) (+.f64 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (+.f64 (*.f64 (-.f64 (log.f64 13/2) 1/13) (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (*.f64 -1 (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2)))) z)) (sqrt.f64 (PI.f64))) (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (+.f64 (*.f64 1/2 (*.f64 (-.f64 (log.f64 13/2) 1/13) (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2)))) (+.f64 (*.f64 (-.f64 (+.f64 (*.f64 27/169 (-.f64 (log.f64 13/2) 1/13)) (*.f64 1/6 (pow.f64 (-.f64 (log.f64 13/2) 1/13) 3))) 82/6591) (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (+.f64 (*.f64 -1/6 (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (*.f64 -1 (*.f64 (+.f64 27/169 (*.f64 1/2 (pow.f64 (-.f64 (log.f64 13/2) 1/13) 2))) (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2))))))) (pow.f64 z 3))) (sqrt.f64 (PI.f64)))))) |
(*.f64 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 (+.f64 13/2 z) (-.f64 z 1/2)) (exp.f64 (neg.f64 (+.f64 13/2 z))))) (sqrt.f64 (PI.f64))) |
(*.f64 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 (+.f64 13/2 z) (-.f64 z 1/2)) (exp.f64 (neg.f64 (+.f64 13/2 z))))) (sqrt.f64 (PI.f64))) |
(*.f64 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 (+.f64 13/2 z) (-.f64 z 1/2)) (exp.f64 (neg.f64 (+.f64 13/2 z))))) (sqrt.f64 (PI.f64))) |
(*.f64 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 (+.f64 13/2 z) (-.f64 z 1/2)) (exp.f64 (neg.f64 (+.f64 13/2 z))))) (sqrt.f64 (PI.f64))) |
(*.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 (*.f64 -1 (*.f64 (log.f64 (-.f64 13/2 (*.f64 -1 z))) (+.f64 (*.f64 -1 z) 1/2)))) (exp.f64 (-.f64 (*.f64 -1 z) 13/2)))) (sqrt.f64 (PI.f64))) |
(*.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 (*.f64 -1 (*.f64 (log.f64 (-.f64 13/2 (*.f64 -1 z))) (+.f64 (*.f64 -1 z) 1/2)))) (exp.f64 (-.f64 (*.f64 -1 z) 13/2)))) (sqrt.f64 (PI.f64))) |
(*.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 (*.f64 -1 (*.f64 (log.f64 (-.f64 13/2 (*.f64 -1 z))) (+.f64 (*.f64 -1 z) 1/2)))) (exp.f64 (-.f64 (*.f64 -1 z) 13/2)))) (sqrt.f64 (PI.f64))) |
(*.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 (*.f64 -1 (*.f64 (log.f64 (-.f64 13/2 (*.f64 -1 z))) (+.f64 (*.f64 -1 z) 1/2)))) (exp.f64 (-.f64 (*.f64 -1 z) 13/2)))) (sqrt.f64 (PI.f64))) |
(exp.f64 -13/2) |
(+.f64 (*.f64 -1 (*.f64 z (exp.f64 -13/2))) (exp.f64 -13/2)) |
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 z 2) (exp.f64 -13/2))) (+.f64 (*.f64 -1 (*.f64 z (exp.f64 -13/2))) (exp.f64 -13/2))) |
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 z 3) (exp.f64 -13/2))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 z 2) (exp.f64 -13/2))) (+.f64 (*.f64 -1 (*.f64 z (exp.f64 -13/2))) (exp.f64 -13/2)))) |
(exp.f64 (neg.f64 (+.f64 13/2 z))) |
(exp.f64 (neg.f64 (+.f64 13/2 z))) |
(exp.f64 (neg.f64 (+.f64 13/2 z))) |
(exp.f64 (neg.f64 (+.f64 13/2 z))) |
(exp.f64 (-.f64 (*.f64 -1 z) 13/2)) |
(exp.f64 (-.f64 (*.f64 -1 z) 13/2)) |
(exp.f64 (-.f64 (*.f64 -1 z) 13/2)) |
(exp.f64 (-.f64 (*.f64 -1 z) 13/2)) |
(/.f64 6765203681218851/10000000000000 z) |
(-.f64 (*.f64 6765203681218851/10000000000000 (/.f64 1 z)) 12581392167224029901/10000000000000000) |
(-.f64 (+.f64 (*.f64 3147848041806007/2500000000000 z) (*.f64 6765203681218851/10000000000000 (/.f64 1 z))) 12581392167224029901/10000000000000000) |
(-.f64 (+.f64 (*.f64 3147848041806007/2500000000000 z) (+.f64 (*.f64 -3147848041806007/2500000000000 (pow.f64 z 2)) (*.f64 6765203681218851/10000000000000 (/.f64 1 z)))) 12581392167224029901/10000000000000000) |
9999999999998099/10000000000000000 |
(-.f64 9999999999998099/10000000000000000 (*.f64 5826188486005177/10000000000000 (/.f64 1 z))) |
(-.f64 (+.f64 9999999999998099/10000000000000000 (*.f64 3147848041806007/2500000000000 (/.f64 1 (pow.f64 z 2)))) (*.f64 5826188486005177/10000000000000 (/.f64 1 z))) |
(-.f64 (+.f64 9999999999998099/10000000000000000 (*.f64 3147848041806007/2500000000000 (/.f64 1 (pow.f64 z 2)))) (+.f64 (*.f64 3147848041806007/2500000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 5826188486005177/10000000000000 (/.f64 1 z)))) |
9999999999998099/10000000000000000 |
(-.f64 9999999999998099/10000000000000000 (*.f64 5826188486005177/10000000000000 (/.f64 1 z))) |
(-.f64 (+.f64 9999999999998099/10000000000000000 (*.f64 3147848041806007/2500000000000 (/.f64 1 (pow.f64 z 2)))) (*.f64 5826188486005177/10000000000000 (/.f64 1 z))) |
(-.f64 (+.f64 9999999999998099/10000000000000000 (*.f64 3147848041806007/2500000000000 (/.f64 1 (pow.f64 z 2)))) (+.f64 (*.f64 3147848041806007/2500000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 5826188486005177/10000000000000 (/.f64 1 z)))) |
| Outputs |
|---|
(*.f64 (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (sqrt.f64 (PI.f64))) |
(*.f64 (sqrt.f64 2) (*.f64 (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2)) (sqrt.f64 (PI.f64)))) |
(*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 2/13) (*.f64 (exp.f64 -13/2) (sqrt.f64 (PI.f64))))) |
(*.f64 (sqrt.f64 2/13) (*.f64 (*.f64 (sqrt.f64 2) (exp.f64 -13/2)) (sqrt.f64 (PI.f64)))) |
(+.f64 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (sqrt.f64 (PI.f64))) (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (+.f64 (*.f64 (-.f64 (log.f64 13/2) 1/13) (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (*.f64 -1 (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2)))) z)) (sqrt.f64 (PI.f64)))) |
(*.f64 (sqrt.f64 (PI.f64)) (+.f64 (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (*.f64 (sqrt.f64 2) (*.f64 (*.f64 (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2)) (+.f64 (+.f64 (log.f64 13/2) -1/13) -1)) z)))) |
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 2) (+.f64 (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2)) (*.f64 (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2)) (*.f64 (+.f64 (log.f64 13/2) -14/13) z))))) |
(*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 (PI.f64)) (fma.f64 (sqrt.f64 2/13) (exp.f64 -13/2) (*.f64 (sqrt.f64 2/13) (*.f64 (exp.f64 -13/2) (*.f64 z (+.f64 (log.f64 13/2) -14/13))))))) |
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(+.f64 (fma.f64 3147848041806007/2500000000000 z (/.f64 6765203681218851/10000000000000 z)) -12581392167224029901/10000000000000000) |
(+.f64 (fma.f64 z 3147848041806007/2500000000000 (/.f64 6765203681218851/10000000000000 z)) -12581392167224029901/10000000000000000) |
(+.f64 (/.f64 6765203681218851/10000000000000 z) (fma.f64 z 3147848041806007/2500000000000 -12581392167224029901/10000000000000000)) |
(-.f64 (+.f64 (*.f64 3147848041806007/2500000000000 z) (+.f64 (*.f64 -3147848041806007/2500000000000 (pow.f64 z 2)) (*.f64 6765203681218851/10000000000000 (/.f64 1 z)))) 12581392167224029901/10000000000000000) |
(+.f64 (fma.f64 3147848041806007/2500000000000 z (fma.f64 -3147848041806007/2500000000000 (*.f64 z z) (/.f64 6765203681218851/10000000000000 z))) -12581392167224029901/10000000000000000) |
(fma.f64 z 3147848041806007/2500000000000 (+.f64 (fma.f64 (*.f64 z z) -3147848041806007/2500000000000 (/.f64 6765203681218851/10000000000000 z)) -12581392167224029901/10000000000000000)) |
(fma.f64 z 3147848041806007/2500000000000 (+.f64 (/.f64 6765203681218851/10000000000000 z) (fma.f64 z (*.f64 z -3147848041806007/2500000000000) -12581392167224029901/10000000000000000))) |
(+.f64 (/.f64 6765203681218851/10000000000000 z) (fma.f64 z (+.f64 3147848041806007/2500000000000 (*.f64 z -3147848041806007/2500000000000)) -12581392167224029901/10000000000000000)) |
9999999999998099/10000000000000000 |
(-.f64 9999999999998099/10000000000000000 (*.f64 5826188486005177/10000000000000 (/.f64 1 z))) |
(-.f64 9999999999998099/10000000000000000 (/.f64 5826188486005177/10000000000000 z)) |
(+.f64 9999999999998099/10000000000000000 (/.f64 -5826188486005177/10000000000000 z)) |
(-.f64 (+.f64 9999999999998099/10000000000000000 (*.f64 3147848041806007/2500000000000 (/.f64 1 (pow.f64 z 2)))) (*.f64 5826188486005177/10000000000000 (/.f64 1 z))) |
(+.f64 9999999999998099/10000000000000000 (-.f64 (/.f64 3147848041806007/2500000000000 (*.f64 z z)) (/.f64 5826188486005177/10000000000000 z))) |
(+.f64 (/.f64 3147848041806007/2500000000000 (*.f64 z z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -5826188486005177/10000000000000 z))) |
(+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -5826188486005177/10000000000000 z)) (/.f64 3147848041806007/2500000000000 (*.f64 z z))) |
(-.f64 (+.f64 9999999999998099/10000000000000000 (*.f64 3147848041806007/2500000000000 (/.f64 1 (pow.f64 z 2)))) (+.f64 (*.f64 3147848041806007/2500000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 5826188486005177/10000000000000 (/.f64 1 z)))) |
(+.f64 9999999999998099/10000000000000000 (-.f64 (/.f64 3147848041806007/2500000000000 (*.f64 z z)) (+.f64 (/.f64 5826188486005177/10000000000000 z) (/.f64 3147848041806007/2500000000000 (pow.f64 z 3))))) |
(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 3147848041806007/2500000000000 (*.f64 z z)) (-.f64 (/.f64 -5826188486005177/10000000000000 z) (/.f64 3147848041806007/2500000000000 (pow.f64 z 3))))) |
9999999999998099/10000000000000000 |
(-.f64 9999999999998099/10000000000000000 (*.f64 5826188486005177/10000000000000 (/.f64 1 z))) |
(-.f64 9999999999998099/10000000000000000 (/.f64 5826188486005177/10000000000000 z)) |
(+.f64 9999999999998099/10000000000000000 (/.f64 -5826188486005177/10000000000000 z)) |
(-.f64 (+.f64 9999999999998099/10000000000000000 (*.f64 3147848041806007/2500000000000 (/.f64 1 (pow.f64 z 2)))) (*.f64 5826188486005177/10000000000000 (/.f64 1 z))) |
(+.f64 9999999999998099/10000000000000000 (-.f64 (/.f64 3147848041806007/2500000000000 (*.f64 z z)) (/.f64 5826188486005177/10000000000000 z))) |
(+.f64 (/.f64 3147848041806007/2500000000000 (*.f64 z z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -5826188486005177/10000000000000 z))) |
(+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -5826188486005177/10000000000000 z)) (/.f64 3147848041806007/2500000000000 (*.f64 z z))) |
(-.f64 (+.f64 9999999999998099/10000000000000000 (*.f64 3147848041806007/2500000000000 (/.f64 1 (pow.f64 z 2)))) (+.f64 (*.f64 3147848041806007/2500000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 5826188486005177/10000000000000 (/.f64 1 z)))) |
(+.f64 9999999999998099/10000000000000000 (-.f64 (/.f64 3147848041806007/2500000000000 (*.f64 z z)) (+.f64 (/.f64 5826188486005177/10000000000000 z) (/.f64 3147848041806007/2500000000000 (pow.f64 z 3))))) |
(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 3147848041806007/2500000000000 (*.f64 z z)) (-.f64 (/.f64 -5826188486005177/10000000000000 z) (/.f64 3147848041806007/2500000000000 (pow.f64 z 3))))) |
Compiled 26898 to 22824 computations (15.1% saved)
77 alts after pruning (75 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 231 | 75 | 306 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 1 | 1 |
| Total | 231 | 77 | 308 |
| Status | Error | Program |
|---|---|---|
| 4.0b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (/.f64 (+.f64 (*.f64 (fma.f64 -3147848041806007/2500000000000 (+.f64 z 2) (*.f64 (+.f64 z 1) 7713234287776531/10000000000000)) (+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (-.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (*.f64 z z)) (*.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z))))) (*.f64 (*.f64 (+.f64 z 1) (+.f64 z 2)) (+.f64 999999999999429700000000108414029999993130164299/1000000000000000000000000000000000000000000000000 (/.f64 309629712517394580428200722024092610534658749051/1000000000000000000000000000000000000000 (pow.f64 z 3))))) (*.f64 (*.f64 (+.f64 z 1) (+.f64 z 2)) (+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (-.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (*.f64 z z)) (*.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)))))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))) | |
| 3.8b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (*.f64 (/.f64 (sqrt.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))) (pow.f64 (cbrt.f64 (exp.f64 (+.f64 z 13/2))) 2)) (/.f64 (sqrt.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))) (cbrt.f64 (exp.f64 (+.f64 z 13/2))))))) | |
| 56.7b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)))) | |
| 3.7b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (pow.f64 (sqrt.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))))) 2) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))) | |
| 4.8b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (pow.f64 (exp.f64 (sqrt.f64 (+.f64 z 13/2))) (sqrt.f64 (+.f64 z 13/2)))))) | |
| 4.7b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (expm1.f64 (log1p.f64 (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))))) | |
| 3.7b | (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (cbrt.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (-.f64 z -1)))) 3)) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8)))) | |
| 4.2b | (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (-.f64 z -1))))) 2) (cbrt.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (-.f64 z -1)))))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8)))) | |
| 4.0b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (pow.f64 (cbrt.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))))) 3) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))) | |
| 6.2b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (+.f64 z 13/2)) 2)) (cbrt.f64 (+.f64 z 13/2)))))) | |
| 52.5b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 943522900885677/5000000000000 z)) (/.f64 -1417538204164517/5000000000000 (*.f64 z z))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))) | |
| 4.2b | (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 (+.f64 (+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 (/.f64 6765203681218851/10000000000000 z) (-.f64 (/.f64 6765203681218851/10000000000000 z) 9999999999998099/10000000000000000))) (*.f64 (*.f64 (-.f64 z -1) -2500000000000/3147848041806007) (+.f64 999999999999429700000000108414029999993130164299/1000000000000000000000000000000000000000000000000 (pow.f64 (/.f64 6765203681218851/10000000000000 z) 3)))) (*.f64 (*.f64 (-.f64 z -1) -2500000000000/3147848041806007) (+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 (/.f64 6765203681218851/10000000000000 z) (-.f64 (/.f64 6765203681218851/10000000000000 z) 9999999999998099/10000000000000000))))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8)))) | |
| 3.6b | (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (*.f64 1 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (-.f64 z -1))))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8)))) | |
| 3.8b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (pow.f64 (pow.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) 3) 1/3) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))) | |
| 4.2b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (/.f64 (+.f64 (*.f64 (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (*.f64 z z))) (+.f64 (/.f64 9908947294301912793614221284049/6250000000000000000000000 (pow.f64 (+.f64 z 1) 2)) (-.f64 (/.f64 59493983178131529437839794393961/100000000000000000000000000 (pow.f64 (+.f64 z 2) 2)) (/.f64 -24280089448768304182713669421717/25000000000000000000000000 (*.f64 (+.f64 z 1) (+.f64 z 2)))))) (*.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (pow.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) 3) (/.f64 458891030965964263706993392018425544321343929291/1000000000000000000000000000000000000000 (pow.f64 (+.f64 z 2) 3))))) (*.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 9908947294301912793614221284049/6250000000000000000000000 (pow.f64 (+.f64 z 1) 2)) (-.f64 (/.f64 59493983178131529437839794393961/100000000000000000000000000 (pow.f64 (+.f64 z 2) 2)) (/.f64 -24280089448768304182713669421717/25000000000000000000000000 (*.f64 (+.f64 z 1) (+.f64 z 2))))))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))) | |
| 3.8b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (*.f64 (/.f64 (pow.f64 (+.f64 z 13/2) z) (exp.f64 z)) (/.f64 (pow.f64 (+.f64 z 13/2) -1/2) (exp.f64 13/2))))) | |
| 4.0b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (fma.f64 (sqrt.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z))) (sqrt.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))) | |
| 3.7b | (*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 2)) 2)) (sqrt.f64 (cbrt.f64 (*.f64 (PI.f64) 2)))) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))) | |
| 3.8b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (pow.f64 (cbrt.f64 (exp.f64 (+.f64 z 13/2))) 3)))) | |
| 3.8b | (*.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8)))) | |
| 49.9b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 943522900885677/5000000000000 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))) | |
| 3.7b | (*.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 2)) 2)) (sqrt.f64 (cbrt.f64 (*.f64 (PI.f64) 2)))) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8)))) | |
| 4.0b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (*.f64 (/.f64 (pow.f64 (cbrt.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))) 2) (exp.f64 z)) (/.f64 (cbrt.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))) (exp.f64 13/2))))) | |
| 3.8b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (/.f64 (-.f64 (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))) (/.f64 59493983178131529437839794393961/100000000000000000000000000 (pow.f64 (+.f64 z 2) 2))) (-.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))) | |
| 3.7b | (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))) | |
| 49.9b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (*.f64 943522900885677/5000000000000 (/.f64 1 z))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))) | |
| 3.9b | (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 (+.f64 (*.f64 (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (*.f64 z z))) (-.f64 z -1)) (*.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) -3147848041806007/2500000000000)) (*.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (-.f64 z -1))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8)))) | |
| 4.0b | (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (fma.f64 (sqrt.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z))) (sqrt.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 z -1))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8)))) | |
| ▶ | 63.2b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))) |
| 4.8b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (fma.f64 (pow.f64 (cbrt.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z))) 2) (cbrt.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))) | |
| 3.7b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (/.f64 (-.f64 (pow.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))) 2) (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) 2)) (-.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))) | |
| ▶ | 4.6b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (pow.f64 (E.f64) (+.f64 z 13/2))))) |
| 3.7b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (*.f64 (/.f64 (pow.f64 (+.f64 z 13/2) z) 1) (/.f64 (pow.f64 (+.f64 z 13/2) -1/2) (exp.f64 (+.f64 z 13/2)))))) | |
| 4.0b | (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 (+.f64 (*.f64 (+.f64 999999999999429700000000108414029999993130164299/1000000000000000000000000000000000000000000000000 (pow.f64 (/.f64 6765203681218851/10000000000000 z) 3)) (-.f64 z -1)) (*.f64 (+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 (/.f64 6765203681218851/10000000000000 z) (-.f64 (/.f64 6765203681218851/10000000000000 z) 9999999999998099/10000000000000000))) -3147848041806007/2500000000000)) (*.f64 (+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 (/.f64 6765203681218851/10000000000000 z) (-.f64 (/.f64 6765203681218851/10000000000000 z) 9999999999998099/10000000000000000))) (-.f64 z -1))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8)))) | |
| 3.7b | (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (/.f64 1 (exp.f64 (+.f64 (+.f64 z -1) 15/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8)))) | |
| ▶ | 3.6b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (/.f64 (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))) (-.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))) |
| 3.7b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (pow.f64 (/.f64 (exp.f64 (+.f64 z 13/2)) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))) -1))) | |
| 5.1b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (exp.f64 (*.f64 -1 (*.f64 (log.f64 (-.f64 13/2 (*.f64 -1 z))) (+.f64 (*.f64 -1 z) 1/2)))) (exp.f64 (-.f64 13/2 (*.f64 -1 z)))))) | |
| 3.8b | (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (*.f64 (exp.f64 (neg.f64 (+.f64 z 6))) (exp.f64 -1/2))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8)))) | |
| 5.2b | (*.f64 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 (*.f64 -1 (*.f64 (log.f64 (-.f64 13/2 (*.f64 -1 z))) (+.f64 (*.f64 -1 z) 1/2)))) (exp.f64 (-.f64 (*.f64 -1 z) 13/2)))) (sqrt.f64 (PI.f64))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8)))) | |
| 3.6b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (/.f64 (+.f64 (pow.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) 3) (/.f64 458891030965964263706993392018425544321343929291/1000000000000000000000000000000000000000 (pow.f64 (+.f64 z 2) 3))) (+.f64 (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))) (-.f64 (/.f64 59493983178131529437839794393961/100000000000000000000000000 (pow.f64 (+.f64 z 2) 2)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))) | |
| 3.8b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (*.f64 (/.f64 (pow.f64 (cbrt.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))) 2) 1) (/.f64 (cbrt.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))) (exp.f64 (+.f64 z 13/2)))))) | |
| 4.8b | (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (fma.f64 (pow.f64 (cbrt.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z))) 2) (cbrt.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 z -1))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8)))) | |
| 3.7b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (*.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)) (exp.f64 (-.f64 -13/2 z))))) | |
| 3.8b | (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (exp.f64 (-.f64 -13/2 z)) (pow.f64 (-.f64 z -13/2) (-.f64 1/2 z))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8)))) | |
| 3.8b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))) 3))) | |
| 3.9b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (*.f64 (/.f64 1 (exp.f64 z)) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 13/2))))) | |
| 3.7b | (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (fma.f64 -3147848041806007/2500000000000 (/.f64 1 (-.f64 z -1)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8)))) | |
| 55.1b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (-.f64 (+.f64 (*.f64 42652334381119581/40000000000000 z) (*.f64 6765203681218851/10000000000000 (/.f64 1 z))) 8724775023335764401/10000000000000000) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))) | |
| 3.8b | (*.f64 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 (+.f64 13/2 z) (-.f64 z 1/2)) (exp.f64 (neg.f64 (+.f64 13/2 z))))) (sqrt.f64 (PI.f64))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8)))) | |
| ▶ | 3.8b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (exp.f64 (log.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))) |
| 3.6b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (/.f64 (+.f64 999999999999429700000000108414029999993130164299/1000000000000000000000000000000000000000000000000 (pow.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) 3)) (+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (-.f64 (*.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))))) (*.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))) | |
| 3.9b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (exp.f64 z) (exp.f64 13/2))))) | |
| 11.3b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (pow.f64 (pow.f64 (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))) 3) 1/3))) | |
| 3.7b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (*.f64 (neg.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))) (/.f64 1 (neg.f64 (exp.f64 (+.f64 z 13/2))))))) | |
| 3.8b | (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (-.f64 z -1))) (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (-.f64 z -1))))) (-.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (-.f64 z -1))))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8)))) | |
| 3.8b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (expm1.f64 (log1p.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))) | |
| 3.9b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (expm1.f64 (log1p.f64 (exp.f64 (+.f64 z 13/2))))))) | |
| 3.7b | (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 (+.f64 999999999999429700000000108414029999993130164299/1000000000000000000000000000000000000000000000000 (pow.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (-.f64 z -1))) 3)) (+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (-.f64 (*.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (-.f64 z -1))) (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (-.f64 z -1)))) (*.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (-.f64 z -1))))))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8)))) | |
| 3.8b | (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 (+.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) 3) (/.f64 -31191860336727207531769765603776766852501482343/15625000000000000000000000000000000000 (pow.f64 (-.f64 z -1) 3))) (+.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) 2) (*.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 z -1)) (-.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 z -1)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)))))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8)))) | |
| ✓ | 3.7b | (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8)))) |
| ▶ | 4.0b | (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 1 (/.f64 (-.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 z -1))) (-.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) 2) (/.f64 9908947294301912793614221284049/6250000000000000000000000 (pow.f64 (-.f64 z -1) 2))))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8)))) |
| 4.3b | (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (pow.f64 (exp.f64 -1) (+.f64 (+.f64 z -1) 15/2))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8)))) | |
| 3.8b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (/.f64 (+.f64 (*.f64 (fma.f64 -3147848041806007/2500000000000 (+.f64 z 2) (*.f64 (+.f64 z 1) 7713234287776531/10000000000000)) (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z))) (*.f64 (*.f64 (+.f64 z 1) (+.f64 z 2)) (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (*.f64 z z))))) (*.f64 (*.f64 (+.f64 z 1) (+.f64 z 2)) (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))) | |
| 3.7b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (*.f64 (-.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) 2) (pow.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))) 2)) (/.f64 1 (-.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))) | |
| 3.7b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (cbrt.f64 (pow.f64 (exp.f64 (+.f64 z 13/2)) 3))))) | |
| 53.4b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))) | |
| 3.7b | (*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 z -1) 15/2) (+.f64 z -1/2))) (exp.f64 (+.f64 (+.f64 z -1) 15/2))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8)))) | |
| 4.2b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (/.f64 (+.f64 (*.f64 (-.f64 (/.f64 9908947294301912793614221284049/6250000000000000000000000 (pow.f64 (+.f64 z 1) 2)) (/.f64 59493983178131529437839794393961/100000000000000000000000000 (pow.f64 (+.f64 z 2) 2))) (+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (-.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (*.f64 z z)) (*.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z))))) (*.f64 (-.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))) (+.f64 999999999999429700000000108414029999993130164299/1000000000000000000000000000000000000000000000000 (/.f64 309629712517394580428200722024092610534658749051/1000000000000000000000000000000000000000 (pow.f64 z 3))))) (*.f64 (-.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))) (+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (-.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (*.f64 z z)) (*.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)))))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))) | |
| 4.4b | (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 (PI.f64) 2))) 3) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))) | |
| 3.7b | (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (exp.f64 (-.f64 -13/2 z))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8)))) | |
| 4.2b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (/.f64 (+.f64 (*.f64 (+.f64 (pow.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) 3) (/.f64 458891030965964263706993392018425544321343929291/1000000000000000000000000000000000000000 (pow.f64 (+.f64 z 2) 3))) (+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (-.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (*.f64 z z)) (*.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z))))) (*.f64 (+.f64 (/.f64 9908947294301912793614221284049/6250000000000000000000000 (pow.f64 (+.f64 z 1) 2)) (-.f64 (/.f64 59493983178131529437839794393961/100000000000000000000000000 (pow.f64 (+.f64 z 2) 2)) (/.f64 -24280089448768304182713669421717/25000000000000000000000000 (*.f64 (+.f64 z 1) (+.f64 z 2))))) (+.f64 999999999999429700000000108414029999993130164299/1000000000000000000000000000000000000000000000000 (/.f64 309629712517394580428200722024092610534658749051/1000000000000000000000000000000000000000 (pow.f64 z 3))))) (*.f64 (+.f64 (/.f64 9908947294301912793614221284049/6250000000000000000000000 (pow.f64 (+.f64 z 1) 2)) (-.f64 (/.f64 59493983178131529437839794393961/100000000000000000000000000 (pow.f64 (+.f64 z 2) 2)) (/.f64 -24280089448768304182713669421717/25000000000000000000000000 (*.f64 (+.f64 z 1) (+.f64 z 2))))) (+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (-.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (*.f64 z z)) (*.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)))))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))) | |
| ✓ | 3.7b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))) |
| 3.9b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (exp.f64 (-.f64 (*.f64 (+.f64 z -1/2) (log.f64 (+.f64 z 13/2))) (+.f64 z 13/2))))) | |
| 33.7b | (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (log1p.f64 (expm1.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (-.f64 z -1)))))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8)))) | |
| 4.2b | (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 (+.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (*.f64 (*.f64 (-.f64 z -1) -2500000000000/3147848041806007) (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (*.f64 z z))))) (*.f64 (*.f64 (-.f64 z -1) -2500000000000/3147848041806007) (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8)))) | |
| 3.9b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (/.f64 (+.f64 (*.f64 (-.f64 (/.f64 9908947294301912793614221284049/6250000000000000000000000 (pow.f64 (+.f64 z 1) 2)) (/.f64 59493983178131529437839794393961/100000000000000000000000000 (pow.f64 (+.f64 z 2) 2))) (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z))) (*.f64 (-.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))) (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (*.f64 z z))))) (*.f64 (-.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))) (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))) |
Compiled 13039 to 11095 computations (14.9% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.9b | (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) |
| 1.0b | (sqrt.f64 (*.f64 (PI.f64) 2)) | |
| 1.2b | (exp.f64 (+.f64 z 13/2)) | |
| 1.7b | (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))) |
Compiled 629 to 511 computations (18.8% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | z | @ | inf | (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) |
| 0.0ms | z | @ | 0 | (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) |
| 0.0ms | z | @ | -inf | (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) |
| 1× | batch-egg-rewrite |
| 786× | fma-def_binary64 |
| 441× | fma-neg_binary64 |
| 301× | log1p-udef_binary64 |
| 300× | expm1-udef_binary64 |
| 223× | log-pow_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 22 |
| 1 | 344 | 22 |
| 2 | 5254 | 22 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) |
| Outputs |
|---|
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1)))) (sqrt.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (pow.f64 z 3))) (-.f64 (fma.f64 z z 1) z) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 6765203681218851/10000000000000 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 -3147848041806007/2500000000000 (fma.f64 z z -1)) (-.f64 z 1) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 6765203681218851/10000000000000 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 7713234287776531/10000000000000 (+.f64 8 (pow.f64 z 3))) (-.f64 (fma.f64 z z 4) (*.f64 z 2)) (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 7713234287776531/10000000000000 (fma.f64 z z -4)) (+.f64 z -2) (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))))))) |
| 1× | egg-herbie |
| 818× | distribute-neg-frac_binary64 |
| 488× | fma-def_binary64 |
| 434× | associate-*l*_binary64 |
| 419× | times-frac_binary64 |
| 343× | associate-*r*_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 40 | 180 |
| 1 | 104 | 180 |
| 2 | 238 | 180 |
| 3 | 577 | 177 |
| 4 | 1733 | 177 |
| 5 | 6631 | 177 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 6765203681218851/10000000000000 z) |
(-.f64 (*.f64 6765203681218851/10000000000000 (/.f64 1 z)) 698782001866861/800000000000) |
(-.f64 (+.f64 (*.f64 42652334381119581/40000000000000 z) (*.f64 6765203681218851/10000000000000 (/.f64 1 z))) 698782001866861/800000000000) |
(-.f64 (+.f64 (*.f64 -93017903050015693/80000000000000 (pow.f64 z 2)) (+.f64 (*.f64 42652334381119581/40000000000000 z) (*.f64 6765203681218851/10000000000000 (/.f64 1 z)))) 698782001866861/800000000000) |
(/.f64 943522900885677/5000000000000 z) |
(-.f64 (*.f64 943522900885677/5000000000000 (/.f64 1 z)) (*.f64 1417538204164517/5000000000000 (/.f64 1 (pow.f64 z 2)))) |
(-.f64 (+.f64 (*.f64 1141346561492631/625000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 943522900885677/5000000000000 (/.f64 1 z))) (*.f64 1417538204164517/5000000000000 (/.f64 1 (pow.f64 z 2)))) |
(-.f64 (+.f64 (*.f64 1141346561492631/625000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 943522900885677/5000000000000 (/.f64 1 z))) (+.f64 (*.f64 2455724106749411/500000000000 (/.f64 1 (pow.f64 z 4))) (*.f64 1417538204164517/5000000000000 (/.f64 1 (pow.f64 z 2))))) |
(/.f64 943522900885677/5000000000000 z) |
(-.f64 (*.f64 943522900885677/5000000000000 (/.f64 1 z)) (*.f64 1417538204164517/5000000000000 (/.f64 1 (pow.f64 z 2)))) |
(-.f64 (+.f64 (*.f64 1141346561492631/625000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 943522900885677/5000000000000 (/.f64 1 z))) (*.f64 1417538204164517/5000000000000 (/.f64 1 (pow.f64 z 2)))) |
(-.f64 (+.f64 (*.f64 1141346561492631/625000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 943522900885677/5000000000000 (/.f64 1 z))) (+.f64 (*.f64 2455724106749411/500000000000 (/.f64 1 (pow.f64 z 4))) (*.f64 1417538204164517/5000000000000 (/.f64 1 (pow.f64 z 2))))) |
| Outputs |
|---|
(/.f64 6765203681218851/10000000000000 z) |
(-.f64 (*.f64 6765203681218851/10000000000000 (/.f64 1 z)) 698782001866861/800000000000) |
(+.f64 (/.f64 6765203681218851/10000000000000 z) -698782001866861/800000000000) |
(-.f64 (+.f64 (*.f64 42652334381119581/40000000000000 z) (*.f64 6765203681218851/10000000000000 (/.f64 1 z))) 698782001866861/800000000000) |
(+.f64 (fma.f64 42652334381119581/40000000000000 z (/.f64 6765203681218851/10000000000000 z)) -698782001866861/800000000000) |
(+.f64 (fma.f64 z 42652334381119581/40000000000000 (/.f64 6765203681218851/10000000000000 z)) -698782001866861/800000000000) |
(+.f64 (/.f64 6765203681218851/10000000000000 z) (fma.f64 z 42652334381119581/40000000000000 -698782001866861/800000000000)) |
(-.f64 (+.f64 (*.f64 -93017903050015693/80000000000000 (pow.f64 z 2)) (+.f64 (*.f64 42652334381119581/40000000000000 z) (*.f64 6765203681218851/10000000000000 (/.f64 1 z)))) 698782001866861/800000000000) |
(+.f64 (fma.f64 -93017903050015693/80000000000000 (*.f64 z z) (fma.f64 42652334381119581/40000000000000 z (/.f64 6765203681218851/10000000000000 z))) -698782001866861/800000000000) |
(+.f64 (fma.f64 -93017903050015693/80000000000000 (*.f64 z z) (fma.f64 z 42652334381119581/40000000000000 (/.f64 6765203681218851/10000000000000 z))) -698782001866861/800000000000) |
(+.f64 (fma.f64 z 42652334381119581/40000000000000 (/.f64 6765203681218851/10000000000000 z)) (fma.f64 z (*.f64 z -93017903050015693/80000000000000) -698782001866861/800000000000)) |
(+.f64 (/.f64 6765203681218851/10000000000000 z) (fma.f64 z (fma.f64 z -93017903050015693/80000000000000 42652334381119581/40000000000000) -698782001866861/800000000000)) |
(/.f64 943522900885677/5000000000000 z) |
(-.f64 (*.f64 943522900885677/5000000000000 (/.f64 1 z)) (*.f64 1417538204164517/5000000000000 (/.f64 1 (pow.f64 z 2)))) |
(-.f64 (/.f64 943522900885677/5000000000000 z) (/.f64 1417538204164517/5000000000000 (*.f64 z z))) |
(+.f64 (/.f64 943522900885677/5000000000000 z) (/.f64 -1417538204164517/5000000000000 (*.f64 z z))) |
(-.f64 (+.f64 (*.f64 1141346561492631/625000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 943522900885677/5000000000000 (/.f64 1 z))) (*.f64 1417538204164517/5000000000000 (/.f64 1 (pow.f64 z 2)))) |
(+.f64 (/.f64 1141346561492631/625000000000 (pow.f64 z 3)) (-.f64 (/.f64 943522900885677/5000000000000 z) (/.f64 1417538204164517/5000000000000 (*.f64 z z)))) |
(+.f64 (+.f64 (/.f64 943522900885677/5000000000000 z) (/.f64 -1417538204164517/5000000000000 (*.f64 z z))) (/.f64 1141346561492631/625000000000 (pow.f64 z 3))) |
(+.f64 (-.f64 (/.f64 943522900885677/5000000000000 z) (/.f64 1417538204164517/5000000000000 (*.f64 z z))) (/.f64 1141346561492631/625000000000 (pow.f64 z 3))) |
(+.f64 (/.f64 943522900885677/5000000000000 z) (*.f64 (/.f64 -1 (*.f64 z z)) (+.f64 1417538204164517/5000000000000 (/.f64 -1141346561492631/625000000000 z)))) |
(-.f64 (+.f64 (*.f64 1141346561492631/625000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 943522900885677/5000000000000 (/.f64 1 z))) (+.f64 (*.f64 2455724106749411/500000000000 (/.f64 1 (pow.f64 z 4))) (*.f64 1417538204164517/5000000000000 (/.f64 1 (pow.f64 z 2))))) |
(-.f64 (+.f64 (/.f64 943522900885677/5000000000000 z) (/.f64 1141346561492631/625000000000 (pow.f64 z 3))) (+.f64 (/.f64 1417538204164517/5000000000000 (*.f64 z z)) (/.f64 2455724106749411/500000000000 (pow.f64 z 4)))) |
(-.f64 (+.f64 (+.f64 (/.f64 943522900885677/5000000000000 z) (/.f64 -1417538204164517/5000000000000 (*.f64 z z))) (/.f64 1141346561492631/625000000000 (pow.f64 z 3))) (/.f64 2455724106749411/500000000000 (pow.f64 z 4))) |
(+.f64 (/.f64 943522900885677/5000000000000 z) (+.f64 (/.f64 -1417538204164517/5000000000000 (*.f64 z z)) (-.f64 (/.f64 1141346561492631/625000000000 (pow.f64 z 3)) (/.f64 2455724106749411/500000000000 (pow.f64 z 4))))) |
(+.f64 (/.f64 943522900885677/5000000000000 z) (+.f64 (/.f64 1141346561492631/625000000000 (pow.f64 z 3)) (+.f64 (/.f64 -1417538204164517/5000000000000 (*.f64 z z)) (/.f64 -2455724106749411/500000000000 (pow.f64 z 4))))) |
(/.f64 943522900885677/5000000000000 z) |
(-.f64 (*.f64 943522900885677/5000000000000 (/.f64 1 z)) (*.f64 1417538204164517/5000000000000 (/.f64 1 (pow.f64 z 2)))) |
(-.f64 (/.f64 943522900885677/5000000000000 z) (/.f64 1417538204164517/5000000000000 (*.f64 z z))) |
(+.f64 (/.f64 943522900885677/5000000000000 z) (/.f64 -1417538204164517/5000000000000 (*.f64 z z))) |
(-.f64 (+.f64 (*.f64 1141346561492631/625000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 943522900885677/5000000000000 (/.f64 1 z))) (*.f64 1417538204164517/5000000000000 (/.f64 1 (pow.f64 z 2)))) |
(+.f64 (/.f64 1141346561492631/625000000000 (pow.f64 z 3)) (-.f64 (/.f64 943522900885677/5000000000000 z) (/.f64 1417538204164517/5000000000000 (*.f64 z z)))) |
(+.f64 (+.f64 (/.f64 943522900885677/5000000000000 z) (/.f64 -1417538204164517/5000000000000 (*.f64 z z))) (/.f64 1141346561492631/625000000000 (pow.f64 z 3))) |
(+.f64 (-.f64 (/.f64 943522900885677/5000000000000 z) (/.f64 1417538204164517/5000000000000 (*.f64 z z))) (/.f64 1141346561492631/625000000000 (pow.f64 z 3))) |
(+.f64 (/.f64 943522900885677/5000000000000 z) (*.f64 (/.f64 -1 (*.f64 z z)) (+.f64 1417538204164517/5000000000000 (/.f64 -1141346561492631/625000000000 z)))) |
(-.f64 (+.f64 (*.f64 1141346561492631/625000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 943522900885677/5000000000000 (/.f64 1 z))) (+.f64 (*.f64 2455724106749411/500000000000 (/.f64 1 (pow.f64 z 4))) (*.f64 1417538204164517/5000000000000 (/.f64 1 (pow.f64 z 2))))) |
(-.f64 (+.f64 (/.f64 943522900885677/5000000000000 z) (/.f64 1141346561492631/625000000000 (pow.f64 z 3))) (+.f64 (/.f64 1417538204164517/5000000000000 (*.f64 z z)) (/.f64 2455724106749411/500000000000 (pow.f64 z 4)))) |
(-.f64 (+.f64 (+.f64 (/.f64 943522900885677/5000000000000 z) (/.f64 -1417538204164517/5000000000000 (*.f64 z z))) (/.f64 1141346561492631/625000000000 (pow.f64 z 3))) (/.f64 2455724106749411/500000000000 (pow.f64 z 4))) |
(+.f64 (/.f64 943522900885677/5000000000000 z) (+.f64 (/.f64 -1417538204164517/5000000000000 (*.f64 z z)) (-.f64 (/.f64 1141346561492631/625000000000 (pow.f64 z 3)) (/.f64 2455724106749411/500000000000 (pow.f64 z 4))))) |
(+.f64 (/.f64 943522900885677/5000000000000 z) (+.f64 (/.f64 1141346561492631/625000000000 (pow.f64 z 3)) (+.f64 (/.f64 -1417538204164517/5000000000000 (*.f64 z z)) (/.f64 -2455724106749411/500000000000 (pow.f64 z 4))))) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.7b | (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) |
| 1.0b | (sqrt.f64 (*.f64 (PI.f64) 2)) | |
| 1.2b | (exp.f64 (+.f64 z 13/2)) | |
| 1.7b | (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))) |
Compiled 297 to 240 computations (19.2% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | z | @ | 0 | (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) |
| 0.0ms | z | @ | -inf | (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) |
| 0.0ms | z | @ | inf | (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) |
| 1× | batch-egg-rewrite |
| 927× | pow1_binary64 |
| 874× | add-log-exp_binary64 |
| 874× | log1p-expm1-u_binary64 |
| 874× | expm1-log1p-u_binary64 |
| 859× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 10 |
| 1 | 169 | 10 |
| 2 | 2224 | 10 |
| 1× | node limit |
| Inputs |
|---|
(pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))) (cbrt.f64 (pow.f64 (+.f64 z 13/2) (*.f64 2 (+.f64 z -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 z 13/2) (*.f64 2 (+.f64 z -1/2)))) (cbrt.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 z 13/2) z) (pow.f64 (+.f64 z 13/2) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 z 13/2) -1/2) (pow.f64 (+.f64 z 13/2) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))) (sqrt.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 (+.f64 z -1/2)) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 z 13/2)) 2) (+.f64 z -1/2)) (pow.f64 (cbrt.f64 (+.f64 z 13/2)) (+.f64 z -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (+.f64 z 13/2)) (+.f64 z -1/2)) (pow.f64 (sqrt.f64 (+.f64 z 13/2)) (+.f64 z -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 z 13/2) (*.f64 2 (+.f64 z -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (+.f64 z -1/2) (log.f64 (+.f64 z 13/2)))))))) |
| 1× | egg-herbie |
| 543× | distribute-rgt-in_binary64 |
| 540× | distribute-lft-in_binary64 |
| 467× | associate-+l+_binary64 |
| 405× | associate-+r+_binary64 |
| 357× | *-commutative_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 44 | 221 |
| 1 | 129 | 213 |
| 2 | 386 | 198 |
| 3 | 1887 | 195 |
| 4 | 7478 | 195 |
| 1× | node limit |
| Inputs |
|---|
(sqrt.f64 2/13) |
(+.f64 (*.f64 (-.f64 (log.f64 13/2) 1/13) (*.f64 z (sqrt.f64 2/13))) (sqrt.f64 2/13)) |
(+.f64 (*.f64 (+.f64 27/169 (*.f64 1/2 (pow.f64 (-.f64 (log.f64 13/2) 1/13) 2))) (*.f64 (pow.f64 z 2) (sqrt.f64 2/13))) (+.f64 (*.f64 (-.f64 (log.f64 13/2) 1/13) (*.f64 z (sqrt.f64 2/13))) (sqrt.f64 2/13))) |
(+.f64 (*.f64 (-.f64 (+.f64 (*.f64 27/169 (-.f64 (log.f64 13/2) 1/13)) (*.f64 1/6 (pow.f64 (-.f64 (log.f64 13/2) 1/13) 3))) 82/6591) (*.f64 (pow.f64 z 3) (sqrt.f64 2/13))) (+.f64 (*.f64 (+.f64 27/169 (*.f64 1/2 (pow.f64 (-.f64 (log.f64 13/2) 1/13) 2))) (*.f64 (pow.f64 z 2) (sqrt.f64 2/13))) (+.f64 (*.f64 (-.f64 (log.f64 13/2) 1/13) (*.f64 z (sqrt.f64 2/13))) (sqrt.f64 2/13)))) |
(pow.f64 (+.f64 13/2 z) (-.f64 z 1/2)) |
(pow.f64 (+.f64 13/2 z) (-.f64 z 1/2)) |
(pow.f64 (+.f64 13/2 z) (-.f64 z 1/2)) |
(pow.f64 (+.f64 13/2 z) (-.f64 z 1/2)) |
(exp.f64 (*.f64 -1 (*.f64 (log.f64 (-.f64 13/2 (*.f64 -1 z))) (+.f64 (*.f64 -1 z) 1/2)))) |
(exp.f64 (*.f64 -1 (*.f64 (log.f64 (-.f64 13/2 (*.f64 -1 z))) (+.f64 (*.f64 -1 z) 1/2)))) |
(exp.f64 (*.f64 -1 (*.f64 (log.f64 (-.f64 13/2 (*.f64 -1 z))) (+.f64 (*.f64 -1 z) 1/2)))) |
(exp.f64 (*.f64 -1 (*.f64 (log.f64 (-.f64 13/2 (*.f64 -1 z))) (+.f64 (*.f64 -1 z) 1/2)))) |
| Outputs |
|---|
(sqrt.f64 2/13) |
(+.f64 (*.f64 (-.f64 (log.f64 13/2) 1/13) (*.f64 z (sqrt.f64 2/13))) (sqrt.f64 2/13)) |
(fma.f64 (+.f64 (log.f64 13/2) -1/13) (*.f64 (sqrt.f64 2/13) z) (sqrt.f64 2/13)) |
(*.f64 (sqrt.f64 2/13) (fma.f64 (+.f64 (log.f64 13/2) -1/13) z 1)) |
(+.f64 (*.f64 (+.f64 27/169 (*.f64 1/2 (pow.f64 (-.f64 (log.f64 13/2) 1/13) 2))) (*.f64 (pow.f64 z 2) (sqrt.f64 2/13))) (+.f64 (*.f64 (-.f64 (log.f64 13/2) 1/13) (*.f64 z (sqrt.f64 2/13))) (sqrt.f64 2/13))) |
(fma.f64 (+.f64 27/169 (*.f64 1/2 (pow.f64 (+.f64 (log.f64 13/2) -1/13) 2))) (*.f64 (sqrt.f64 2/13) (*.f64 z z)) (fma.f64 (+.f64 (log.f64 13/2) -1/13) (*.f64 (sqrt.f64 2/13) z) (sqrt.f64 2/13))) |
(+.f64 (sqrt.f64 2/13) (*.f64 (sqrt.f64 2/13) (+.f64 (*.f64 (fma.f64 1/2 (pow.f64 (+.f64 (log.f64 13/2) -1/13) 2) 27/169) (*.f64 z z)) (*.f64 (+.f64 (log.f64 13/2) -1/13) z)))) |
(fma.f64 (sqrt.f64 2/13) (*.f64 z (+.f64 (*.f64 z (fma.f64 1/2 (pow.f64 (+.f64 (log.f64 13/2) -1/13) 2) 27/169)) (+.f64 (log.f64 13/2) -1/13))) (sqrt.f64 2/13)) |
(fma.f64 (sqrt.f64 2/13) (*.f64 z (+.f64 (+.f64 (log.f64 13/2) -1/13) (*.f64 z (fma.f64 1/2 (pow.f64 (+.f64 (log.f64 13/2) -1/13) 2) 27/169)))) (sqrt.f64 2/13)) |
(+.f64 (*.f64 (-.f64 (+.f64 (*.f64 27/169 (-.f64 (log.f64 13/2) 1/13)) (*.f64 1/6 (pow.f64 (-.f64 (log.f64 13/2) 1/13) 3))) 82/6591) (*.f64 (pow.f64 z 3) (sqrt.f64 2/13))) (+.f64 (*.f64 (+.f64 27/169 (*.f64 1/2 (pow.f64 (-.f64 (log.f64 13/2) 1/13) 2))) (*.f64 (pow.f64 z 2) (sqrt.f64 2/13))) (+.f64 (*.f64 (-.f64 (log.f64 13/2) 1/13) (*.f64 z (sqrt.f64 2/13))) (sqrt.f64 2/13)))) |
(fma.f64 (+.f64 (fma.f64 27/169 (+.f64 (log.f64 13/2) -1/13) (*.f64 1/6 (pow.f64 (+.f64 (log.f64 13/2) -1/13) 3))) -82/6591) (*.f64 (sqrt.f64 2/13) (pow.f64 z 3)) (fma.f64 (+.f64 27/169 (*.f64 1/2 (pow.f64 (+.f64 (log.f64 13/2) -1/13) 2))) (*.f64 (sqrt.f64 2/13) (*.f64 z z)) (fma.f64 (+.f64 (log.f64 13/2) -1/13) (*.f64 (sqrt.f64 2/13) z) (sqrt.f64 2/13)))) |
(+.f64 (fma.f64 (+.f64 (log.f64 13/2) -1/13) (*.f64 (sqrt.f64 2/13) z) (sqrt.f64 2/13)) (*.f64 (sqrt.f64 2/13) (+.f64 (*.f64 (fma.f64 (+.f64 (log.f64 13/2) -1/13) 27/169 (fma.f64 1/6 (pow.f64 (+.f64 (log.f64 13/2) -1/13) 3) -82/6591)) (pow.f64 z 3)) (*.f64 (fma.f64 1/2 (pow.f64 (+.f64 (log.f64 13/2) -1/13) 2) 27/169) (*.f64 z z))))) |
(fma.f64 (sqrt.f64 2/13) (*.f64 (*.f64 z z) (+.f64 (*.f64 z (fma.f64 1/6 (pow.f64 (+.f64 (log.f64 13/2) -1/13) 3) (+.f64 (*.f64 (log.f64 13/2) 27/169) -163/6591))) (fma.f64 1/2 (pow.f64 (+.f64 (log.f64 13/2) -1/13) 2) 27/169))) (*.f64 (sqrt.f64 2/13) (fma.f64 (+.f64 (log.f64 13/2) -1/13) z 1))) |
(*.f64 (sqrt.f64 2/13) (+.f64 (fma.f64 (+.f64 (log.f64 13/2) -1/13) z 1) (*.f64 (*.f64 z z) (+.f64 (fma.f64 1/2 (pow.f64 (+.f64 (log.f64 13/2) -1/13) 2) 27/169) (*.f64 z (fma.f64 1/6 (pow.f64 (+.f64 (log.f64 13/2) -1/13) 3) (+.f64 (*.f64 (log.f64 13/2) 27/169) -163/6591))))))) |
(pow.f64 (+.f64 13/2 z) (-.f64 z 1/2)) |
(pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)) |
(pow.f64 (+.f64 13/2 z) (-.f64 z 1/2)) |
(pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)) |
(pow.f64 (+.f64 13/2 z) (-.f64 z 1/2)) |
(pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)) |
(pow.f64 (+.f64 13/2 z) (-.f64 z 1/2)) |
(pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)) |
(exp.f64 (*.f64 -1 (*.f64 (log.f64 (-.f64 13/2 (*.f64 -1 z))) (+.f64 (*.f64 -1 z) 1/2)))) |
(pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)) |
(exp.f64 (*.f64 -1 (*.f64 (log.f64 (-.f64 13/2 (*.f64 -1 z))) (+.f64 (*.f64 -1 z) 1/2)))) |
(pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)) |
(exp.f64 (*.f64 -1 (*.f64 (log.f64 (-.f64 13/2 (*.f64 -1 z))) (+.f64 (*.f64 -1 z) 1/2)))) |
(pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)) |
(exp.f64 (*.f64 -1 (*.f64 (log.f64 (-.f64 13/2 (*.f64 -1 z))) (+.f64 (*.f64 -1 z) 1/2)))) |
(pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.8b | (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) | |
| 1.0b | (sqrt.f64 (*.f64 (PI.f64) 2)) | |
| ✓ | 1.7b | (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (pow.f64 (E.f64) (+.f64 z 13/2))) |
| ✓ | 3.2b | (pow.f64 (E.f64) (+.f64 z 13/2)) |
Compiled 406 to 325 computations (20% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | z | @ | 0 | (pow.f64 (E.f64) (+.f64 z 13/2)) |
| 1.0ms | z | @ | 0 | (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (pow.f64 (E.f64) (+.f64 z 13/2))) |
| 1.0ms | z | @ | -inf | (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (pow.f64 (E.f64) (+.f64 z 13/2))) |
| 0.0ms | z | @ | inf | (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (pow.f64 (E.f64) (+.f64 z 13/2))) |
| 0.0ms | z | @ | inf | (pow.f64 (E.f64) (+.f64 z 13/2)) |
| 1× | batch-egg-rewrite |
| 547× | log-prod_binary64 |
| 343× | pow-unpow_binary64 |
| 319× | pow2_binary64 |
| 309× | pow-pow_binary64 |
| 256× | prod-diff_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 28 |
| 1 | 242 | 24 |
| 2 | 3341 | 24 |
| 1× | node limit |
| Inputs |
|---|
(pow.f64 (E.f64) (+.f64 z 13/2)) |
(/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (pow.f64 (E.f64) (+.f64 z 13/2))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (exp.f64 (+.f64 z 13/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (exp.f64 (+.f64 z 13/2)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (exp.f64 (+.f64 z 13/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (exp.f64 (+.f64 z 13/2))))) (log.f64 (sqrt.f64 (exp.f64 (exp.f64 (+.f64 z 13/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (exp.f64 (+.f64 z 13/2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 (+.f64 z 13/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (exp.f64 (+.f64 z 13/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (exp.f64 (+.f64 z 13/2))) (cbrt.f64 (pow.f64 (exp.f64 2) (+.f64 z 13/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (exp.f64 2) (+.f64 z 13/2))) (cbrt.f64 (exp.f64 (+.f64 z 13/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 z) (exp.f64 13/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 13/2) (exp.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (exp.f64 (+.f64 z 13/2))) (sqrt.f64 (exp.f64 (+.f64 z 13/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 (+.f64 z 13/2)) (exp.f64 (+.f64 z 13/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (exp.f64 2/3) (+.f64 z 13/2)) (pow.f64 (exp.f64 1/3) (+.f64 z 13/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (E.f64) (*.f64 2 (*.f64 1/3 (+.f64 z 13/2)))) (pow.f64 (exp.f64 1/3) (+.f64 z 13/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (E.f64) (exp.f64 (log1p.f64 (+.f64 z 13/2)))) (E.f64))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (E.f64) (/.f64 (*.f64 z z) (+.f64 z -13/2))) (pow.f64 (E.f64) (/.f64 169/4 (+.f64 z -13/2))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (exp.f64 2) (+.f64 z 13/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (exp.f64 (+.f64 z 13/2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (exp.f64 (+.f64 z 13/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (exp.f64 (+.f64 z 13/2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (exp.f64 (+.f64 z 13/2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (exp.f64 (+.f64 z 13/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 z 13/2)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (-.f64 (neg.f64 z) 13/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))) 2) (*.f64 (cbrt.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))) (exp.f64 (-.f64 (neg.f64 z) 13/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))) (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))) 2) (cbrt.f64 (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))) (sqrt.f64 (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 z 13/2) z) (*.f64 (pow.f64 (+.f64 z 13/2) -1/2) (exp.f64 (-.f64 (neg.f64 z) 13/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))) (/.f64 1 (neg.f64 (exp.f64 (+.f64 z 13/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 (-.f64 (neg.f64 z) 13/2)) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))) (*.f64 (sqrt.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))) (exp.f64 (-.f64 (neg.f64 z) 13/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))) 2) 1) (/.f64 (cbrt.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))) (exp.f64 (+.f64 z 13/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))) 1) (/.f64 (sqrt.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))) (exp.f64 (+.f64 z 13/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (+.f64 z 13/2) z) 1) (/.f64 (pow.f64 (+.f64 z 13/2) -1/2) (exp.f64 (+.f64 z 13/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 z 13/2))) -2) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (cbrt.f64 (exp.f64 (+.f64 z 13/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))) 2) (cbrt.f64 (pow.f64 (exp.f64 2) (+.f64 z 13/2)))) (cbrt.f64 (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))) (cbrt.f64 (pow.f64 (exp.f64 2) (+.f64 z 13/2)))) (/.f64 (sqrt.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))) (cbrt.f64 (exp.f64 (+.f64 z 13/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (+.f64 z 13/2) z) (cbrt.f64 (pow.f64 (exp.f64 2) (+.f64 z 13/2)))) (/.f64 (pow.f64 (+.f64 z 13/2) -1/2) (cbrt.f64 (exp.f64 (+.f64 z 13/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (exp.f64 (+.f64 z 13/2)) -1/2) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (sqrt.f64 (exp.f64 (+.f64 z 13/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))) 2) (sqrt.f64 (exp.f64 (+.f64 z 13/2)))) (/.f64 (cbrt.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))) (sqrt.f64 (exp.f64 (+.f64 z 13/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (+.f64 z 13/2) z) (sqrt.f64 (exp.f64 (+.f64 z 13/2)))) (/.f64 (pow.f64 (+.f64 z 13/2) -1/2) (sqrt.f64 (exp.f64 (+.f64 z 13/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (exp.f64 z)) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 13/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))) 2) (exp.f64 z)) (/.f64 (cbrt.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))) (exp.f64 13/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))) (exp.f64 z)) (/.f64 (sqrt.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))) (exp.f64 13/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (+.f64 z 13/2) z) (exp.f64 z)) (/.f64 (pow.f64 (+.f64 z 13/2) -1/2) (exp.f64 13/2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (exp.f64 (+.f64 z 13/2)) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (+.f64 z 13/2) (*.f64 (+.f64 z -1/2) 3)) (pow.f64 (exp.f64 (+.f64 z 13/2)) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (exp.f64 (+.f64 z 13/2)) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (neg.f64 (exp.f64 (+.f64 z 13/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (+.f64 z 13/2) (*.f64 (+.f64 z -1/2) 3)) (pow.f64 (exp.f64 (+.f64 z 13/2)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (+.f64 z -1/2) (log.f64 (+.f64 z 13/2))) (+.f64 z 13/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 (*.f64 (+.f64 z -1/2) (log.f64 (+.f64 z 13/2))) (+.f64 z 13/2)) 1)))))) |
| 1× | egg-herbie |
| 426× | associate--l+_binary64 |
| 362× | fma-neg_binary64 |
| 302× | cancel-sign-sub-inv_binary64 |
| 291× | sub-neg_binary64 |
| 274× | distribute-rgt-neg-out_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 77 | 667 |
| 1 | 228 | 651 |
| 2 | 728 | 629 |
| 3 | 3387 | 552 |
| 1× | node limit |
| Inputs |
|---|
(exp.f64 13/2) |
(+.f64 (exp.f64 13/2) (*.f64 (exp.f64 13/2) z)) |
(+.f64 (*.f64 1/2 (*.f64 (exp.f64 13/2) (pow.f64 z 2))) (+.f64 (exp.f64 13/2) (*.f64 (exp.f64 13/2) z))) |
(+.f64 (*.f64 1/2 (*.f64 (exp.f64 13/2) (pow.f64 z 2))) (+.f64 (exp.f64 13/2) (+.f64 (*.f64 1/6 (*.f64 (exp.f64 13/2) (pow.f64 z 3))) (*.f64 (exp.f64 13/2) z)))) |
(exp.f64 (+.f64 13/2 z)) |
(exp.f64 (+.f64 13/2 z)) |
(exp.f64 (+.f64 13/2 z)) |
(exp.f64 (+.f64 13/2 z)) |
(exp.f64 (-.f64 13/2 (*.f64 -1 z))) |
(exp.f64 (-.f64 13/2 (*.f64 -1 z))) |
(exp.f64 (-.f64 13/2 (*.f64 -1 z))) |
(exp.f64 (-.f64 13/2 (*.f64 -1 z))) |
(/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) |
(+.f64 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) (*.f64 (-.f64 (/.f64 (*.f64 (-.f64 (log.f64 13/2) 1/13) (sqrt.f64 2/13)) (exp.f64 13/2)) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) z)) |
(+.f64 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) (+.f64 (*.f64 (-.f64 (+.f64 (/.f64 (*.f64 (+.f64 27/169 (*.f64 1/2 (pow.f64 (-.f64 (log.f64 13/2) 1/13) 2))) (sqrt.f64 2/13)) (exp.f64 13/2)) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) (+.f64 (*.f64 1/2 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) (/.f64 (*.f64 (-.f64 (log.f64 13/2) 1/13) (sqrt.f64 2/13)) (exp.f64 13/2)))) (pow.f64 z 2)) (*.f64 (-.f64 (/.f64 (*.f64 (-.f64 (log.f64 13/2) 1/13) (sqrt.f64 2/13)) (exp.f64 13/2)) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) z))) |
(+.f64 (*.f64 (-.f64 (+.f64 (*.f64 1/2 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) (+.f64 (/.f64 (*.f64 (-.f64 (log.f64 13/2) 1/13) (sqrt.f64 2/13)) (exp.f64 13/2)) (/.f64 (*.f64 (-.f64 (+.f64 (*.f64 27/169 (-.f64 (log.f64 13/2) 1/13)) (*.f64 1/6 (pow.f64 (-.f64 (log.f64 13/2) 1/13) 3))) 82/6591) (sqrt.f64 2/13)) (exp.f64 13/2)))) (+.f64 (*.f64 1/2 (-.f64 (/.f64 (*.f64 (-.f64 (log.f64 13/2) 1/13) (sqrt.f64 2/13)) (exp.f64 13/2)) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)))) (+.f64 (/.f64 (*.f64 (+.f64 27/169 (*.f64 1/2 (pow.f64 (-.f64 (log.f64 13/2) 1/13) 2))) (sqrt.f64 2/13)) (exp.f64 13/2)) (+.f64 (*.f64 1/6 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)))))) (pow.f64 z 3)) (+.f64 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) (+.f64 (*.f64 (-.f64 (+.f64 (/.f64 (*.f64 (+.f64 27/169 (*.f64 1/2 (pow.f64 (-.f64 (log.f64 13/2) 1/13) 2))) (sqrt.f64 2/13)) (exp.f64 13/2)) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) (+.f64 (*.f64 1/2 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) (/.f64 (*.f64 (-.f64 (log.f64 13/2) 1/13) (sqrt.f64 2/13)) (exp.f64 13/2)))) (pow.f64 z 2)) (*.f64 (-.f64 (/.f64 (*.f64 (-.f64 (log.f64 13/2) 1/13) (sqrt.f64 2/13)) (exp.f64 13/2)) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) z)))) |
(/.f64 (pow.f64 (+.f64 13/2 z) (-.f64 z 1/2)) (exp.f64 (+.f64 13/2 z))) |
(/.f64 (pow.f64 (+.f64 13/2 z) (-.f64 z 1/2)) (exp.f64 (+.f64 13/2 z))) |
(/.f64 (pow.f64 (+.f64 13/2 z) (-.f64 z 1/2)) (exp.f64 (+.f64 13/2 z))) |
(/.f64 (pow.f64 (+.f64 13/2 z) (-.f64 z 1/2)) (exp.f64 (+.f64 13/2 z))) |
(/.f64 (exp.f64 (*.f64 -1 (*.f64 (log.f64 (-.f64 13/2 (*.f64 -1 z))) (+.f64 (*.f64 -1 z) 1/2)))) (exp.f64 (-.f64 13/2 (*.f64 -1 z)))) |
(/.f64 (exp.f64 (*.f64 -1 (*.f64 (log.f64 (-.f64 13/2 (*.f64 -1 z))) (+.f64 (*.f64 -1 z) 1/2)))) (exp.f64 (-.f64 13/2 (*.f64 -1 z)))) |
(/.f64 (exp.f64 (*.f64 -1 (*.f64 (log.f64 (-.f64 13/2 (*.f64 -1 z))) (+.f64 (*.f64 -1 z) 1/2)))) (exp.f64 (-.f64 13/2 (*.f64 -1 z)))) |
(/.f64 (exp.f64 (*.f64 -1 (*.f64 (log.f64 (-.f64 13/2 (*.f64 -1 z))) (+.f64 (*.f64 -1 z) 1/2)))) (exp.f64 (-.f64 13/2 (*.f64 -1 z)))) |
| Outputs |
|---|
(exp.f64 13/2) |
(+.f64 (exp.f64 13/2) (*.f64 (exp.f64 13/2) z)) |
(fma.f64 (exp.f64 13/2) z (exp.f64 13/2)) |
(*.f64 (exp.f64 13/2) (+.f64 z 1)) |
(+.f64 (*.f64 1/2 (*.f64 (exp.f64 13/2) (pow.f64 z 2))) (+.f64 (exp.f64 13/2) (*.f64 (exp.f64 13/2) z))) |
(fma.f64 1/2 (*.f64 (exp.f64 13/2) (*.f64 z z)) (+.f64 (exp.f64 13/2) (*.f64 (exp.f64 13/2) z))) |
(fma.f64 1/2 (*.f64 (exp.f64 13/2) (*.f64 z z)) (fma.f64 (exp.f64 13/2) z (exp.f64 13/2))) |
(*.f64 (exp.f64 13/2) (+.f64 (+.f64 z 1) (*.f64 z (*.f64 z 1/2)))) |
(+.f64 (*.f64 1/2 (*.f64 (exp.f64 13/2) (pow.f64 z 2))) (+.f64 (exp.f64 13/2) (+.f64 (*.f64 1/6 (*.f64 (exp.f64 13/2) (pow.f64 z 3))) (*.f64 (exp.f64 13/2) z)))) |
(fma.f64 1/2 (*.f64 (exp.f64 13/2) (*.f64 z z)) (+.f64 (exp.f64 13/2) (fma.f64 1/6 (*.f64 (exp.f64 13/2) (pow.f64 z 3)) (*.f64 (exp.f64 13/2) z)))) |
(+.f64 (fma.f64 1/2 (*.f64 (exp.f64 13/2) (*.f64 z z)) (fma.f64 (exp.f64 13/2) z (exp.f64 13/2))) (*.f64 (exp.f64 13/2) (*.f64 (pow.f64 z 3) 1/6))) |
(fma.f64 (exp.f64 13/2) (*.f64 z (*.f64 z 1/2)) (*.f64 (exp.f64 13/2) (+.f64 (+.f64 z 1) (*.f64 1/6 (pow.f64 z 3))))) |
(*.f64 (exp.f64 13/2) (+.f64 (*.f64 z (*.f64 z 1/2)) (+.f64 (+.f64 z 1) (*.f64 1/6 (pow.f64 z 3))))) |
(exp.f64 (+.f64 13/2 z)) |
(exp.f64 (+.f64 13/2 z)) |
(exp.f64 (+.f64 13/2 z)) |
(exp.f64 (+.f64 13/2 z)) |
(exp.f64 (-.f64 13/2 (*.f64 -1 z))) |
(exp.f64 (+.f64 13/2 z)) |
(exp.f64 (-.f64 13/2 (*.f64 -1 z))) |
(exp.f64 (+.f64 13/2 z)) |
(exp.f64 (-.f64 13/2 (*.f64 -1 z))) |
(exp.f64 (+.f64 13/2 z)) |
(exp.f64 (-.f64 13/2 (*.f64 -1 z))) |
(exp.f64 (+.f64 13/2 z)) |
(/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) |
(+.f64 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) (*.f64 (-.f64 (/.f64 (*.f64 (-.f64 (log.f64 13/2) 1/13) (sqrt.f64 2/13)) (exp.f64 13/2)) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) z)) |
(+.f64 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) (*.f64 z (-.f64 (/.f64 (+.f64 (log.f64 13/2) -1/13) (/.f64 (exp.f64 13/2) (sqrt.f64 2/13))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))))) |
(fma.f64 z (-.f64 (/.f64 (sqrt.f64 2/13) (/.f64 (exp.f64 13/2) (+.f64 (log.f64 13/2) -1/13))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) |
(fma.f64 z (-.f64 (*.f64 (sqrt.f64 2/13) (/.f64 (+.f64 (log.f64 13/2) -1/13) (exp.f64 13/2))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) |
(fma.f64 z (*.f64 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) (+.f64 (+.f64 (log.f64 13/2) -1/13) -1)) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) |
(+.f64 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) (+.f64 (*.f64 (-.f64 (+.f64 (/.f64 (*.f64 (+.f64 27/169 (*.f64 1/2 (pow.f64 (-.f64 (log.f64 13/2) 1/13) 2))) (sqrt.f64 2/13)) (exp.f64 13/2)) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) (+.f64 (*.f64 1/2 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) (/.f64 (*.f64 (-.f64 (log.f64 13/2) 1/13) (sqrt.f64 2/13)) (exp.f64 13/2)))) (pow.f64 z 2)) (*.f64 (-.f64 (/.f64 (*.f64 (-.f64 (log.f64 13/2) 1/13) (sqrt.f64 2/13)) (exp.f64 13/2)) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) z))) |
(+.f64 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) (fma.f64 (+.f64 (/.f64 (+.f64 27/169 (*.f64 1/2 (pow.f64 (+.f64 (log.f64 13/2) -1/13) 2))) (/.f64 (exp.f64 13/2) (sqrt.f64 2/13))) (-.f64 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) (fma.f64 1/2 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) (/.f64 (+.f64 (log.f64 13/2) -1/13) (/.f64 (exp.f64 13/2) (sqrt.f64 2/13)))))) (*.f64 z z) (*.f64 z (-.f64 (/.f64 (+.f64 (log.f64 13/2) -1/13) (/.f64 (exp.f64 13/2) (sqrt.f64 2/13))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)))))) |
(+.f64 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) (fma.f64 z (-.f64 (/.f64 (sqrt.f64 2/13) (/.f64 (exp.f64 13/2) (+.f64 (log.f64 13/2) -1/13))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) (*.f64 (*.f64 z z) (+.f64 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) (-.f64 (/.f64 (sqrt.f64 2/13) (/.f64 (exp.f64 13/2) (fma.f64 1/2 (pow.f64 (+.f64 (log.f64 13/2) -1/13) 2) 27/169))) (fma.f64 1/2 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) (/.f64 (sqrt.f64 2/13) (/.f64 (exp.f64 13/2) (+.f64 (log.f64 13/2) -1/13))))))))) |
(fma.f64 z (-.f64 (*.f64 (sqrt.f64 2/13) (/.f64 (+.f64 (log.f64 13/2) -1/13) (exp.f64 13/2))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) (fma.f64 (*.f64 z z) (fma.f64 (/.f64 (fma.f64 1/2 (pow.f64 (+.f64 (log.f64 13/2) -1/13) 2) 27/169) (exp.f64 13/2)) (sqrt.f64 2/13) (-.f64 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) (fma.f64 (/.f64 (+.f64 (log.f64 13/2) -1/13) (exp.f64 13/2)) (sqrt.f64 2/13) (*.f64 1/2 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)))) |
(fma.f64 z (*.f64 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) (+.f64 (+.f64 (log.f64 13/2) -1/13) -1)) (fma.f64 z (*.f64 z (+.f64 (*.f64 1/2 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) (*.f64 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) (-.f64 (fma.f64 1/2 (pow.f64 (+.f64 (log.f64 13/2) -1/13) 2) 27/169) (+.f64 (log.f64 13/2) -1/13))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)))) |
(+.f64 (*.f64 (-.f64 (+.f64 (*.f64 1/2 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) (+.f64 (/.f64 (*.f64 (-.f64 (log.f64 13/2) 1/13) (sqrt.f64 2/13)) (exp.f64 13/2)) (/.f64 (*.f64 (-.f64 (+.f64 (*.f64 27/169 (-.f64 (log.f64 13/2) 1/13)) (*.f64 1/6 (pow.f64 (-.f64 (log.f64 13/2) 1/13) 3))) 82/6591) (sqrt.f64 2/13)) (exp.f64 13/2)))) (+.f64 (*.f64 1/2 (-.f64 (/.f64 (*.f64 (-.f64 (log.f64 13/2) 1/13) (sqrt.f64 2/13)) (exp.f64 13/2)) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)))) (+.f64 (/.f64 (*.f64 (+.f64 27/169 (*.f64 1/2 (pow.f64 (-.f64 (log.f64 13/2) 1/13) 2))) (sqrt.f64 2/13)) (exp.f64 13/2)) (+.f64 (*.f64 1/6 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)))))) (pow.f64 z 3)) (+.f64 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) (+.f64 (*.f64 (-.f64 (+.f64 (/.f64 (*.f64 (+.f64 27/169 (*.f64 1/2 (pow.f64 (-.f64 (log.f64 13/2) 1/13) 2))) (sqrt.f64 2/13)) (exp.f64 13/2)) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) (+.f64 (*.f64 1/2 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) (/.f64 (*.f64 (-.f64 (log.f64 13/2) 1/13) (sqrt.f64 2/13)) (exp.f64 13/2)))) (pow.f64 z 2)) (*.f64 (-.f64 (/.f64 (*.f64 (-.f64 (log.f64 13/2) 1/13) (sqrt.f64 2/13)) (exp.f64 13/2)) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) z)))) |
(fma.f64 (-.f64 (+.f64 (fma.f64 1/2 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) (/.f64 (+.f64 (log.f64 13/2) -1/13) (/.f64 (exp.f64 13/2) (sqrt.f64 2/13)))) (/.f64 (+.f64 (fma.f64 27/169 (+.f64 (log.f64 13/2) -1/13) (*.f64 1/6 (pow.f64 (+.f64 (log.f64 13/2) -1/13) 3))) -82/6591) (/.f64 (exp.f64 13/2) (sqrt.f64 2/13)))) (fma.f64 1/2 (-.f64 (/.f64 (+.f64 (log.f64 13/2) -1/13) (/.f64 (exp.f64 13/2) (sqrt.f64 2/13))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) (+.f64 (/.f64 (+.f64 27/169 (*.f64 1/2 (pow.f64 (+.f64 (log.f64 13/2) -1/13) 2))) (/.f64 (exp.f64 13/2) (sqrt.f64 2/13))) (*.f64 7/6 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)))))) (pow.f64 z 3) (+.f64 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) (fma.f64 (+.f64 (/.f64 (+.f64 27/169 (*.f64 1/2 (pow.f64 (+.f64 (log.f64 13/2) -1/13) 2))) (/.f64 (exp.f64 13/2) (sqrt.f64 2/13))) (-.f64 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) (fma.f64 1/2 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) (/.f64 (+.f64 (log.f64 13/2) -1/13) (/.f64 (exp.f64 13/2) (sqrt.f64 2/13)))))) (*.f64 z z) (*.f64 z (-.f64 (/.f64 (+.f64 (log.f64 13/2) -1/13) (/.f64 (exp.f64 13/2) (sqrt.f64 2/13))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))))))) |
(fma.f64 (pow.f64 z 3) (+.f64 (fma.f64 1/2 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) (/.f64 (sqrt.f64 2/13) (/.f64 (exp.f64 13/2) (+.f64 (log.f64 13/2) -1/13)))) (-.f64 (*.f64 (/.f64 (fma.f64 (+.f64 (log.f64 13/2) -1/13) 27/169 (fma.f64 1/6 (pow.f64 (+.f64 (log.f64 13/2) -1/13) 3) -82/6591)) (exp.f64 13/2)) (sqrt.f64 2/13)) (fma.f64 1/2 (-.f64 (/.f64 (sqrt.f64 2/13) (/.f64 (exp.f64 13/2) (+.f64 (log.f64 13/2) -1/13))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) (fma.f64 7/6 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) (/.f64 (sqrt.f64 2/13) (/.f64 (exp.f64 13/2) (fma.f64 1/2 (pow.f64 (+.f64 (log.f64 13/2) -1/13) 2) 27/169))))))) (+.f64 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) (fma.f64 z (-.f64 (/.f64 (sqrt.f64 2/13) (/.f64 (exp.f64 13/2) (+.f64 (log.f64 13/2) -1/13))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) (*.f64 (*.f64 z z) (+.f64 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) (-.f64 (/.f64 (sqrt.f64 2/13) (/.f64 (exp.f64 13/2) (fma.f64 1/2 (pow.f64 (+.f64 (log.f64 13/2) -1/13) 2) 27/169))) (fma.f64 1/2 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) (/.f64 (sqrt.f64 2/13) (/.f64 (exp.f64 13/2) (+.f64 (log.f64 13/2) -1/13)))))))))) |
(fma.f64 (pow.f64 z 3) (-.f64 (fma.f64 1/2 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) (*.f64 (sqrt.f64 2/13) (+.f64 (/.f64 (+.f64 (log.f64 13/2) -1/13) (exp.f64 13/2)) (/.f64 (fma.f64 1/6 (pow.f64 (+.f64 (log.f64 13/2) -1/13) 3) (+.f64 (*.f64 (log.f64 13/2) 27/169) -163/6591)) (exp.f64 13/2))))) (fma.f64 (/.f64 (fma.f64 1/2 (pow.f64 (+.f64 (log.f64 13/2) -1/13) 2) 27/169) (exp.f64 13/2)) (sqrt.f64 2/13) (fma.f64 1/2 (-.f64 (*.f64 (sqrt.f64 2/13) (/.f64 (+.f64 (log.f64 13/2) -1/13) (exp.f64 13/2))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) (/.f64 7/6 (/.f64 (exp.f64 13/2) (sqrt.f64 2/13)))))) (fma.f64 z (-.f64 (*.f64 (sqrt.f64 2/13) (/.f64 (+.f64 (log.f64 13/2) -1/13) (exp.f64 13/2))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) (fma.f64 (*.f64 z z) (fma.f64 (/.f64 (fma.f64 1/2 (pow.f64 (+.f64 (log.f64 13/2) -1/13) 2) 27/169) (exp.f64 13/2)) (sqrt.f64 2/13) (-.f64 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) (fma.f64 (/.f64 (+.f64 (log.f64 13/2) -1/13) (exp.f64 13/2)) (sqrt.f64 2/13) (*.f64 1/2 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))))) |
(fma.f64 (pow.f64 z 3) (-.f64 (+.f64 (*.f64 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) (+.f64 (+.f64 (log.f64 13/2) -1/13) (fma.f64 1/6 (pow.f64 (+.f64 (log.f64 13/2) -1/13) 3) (+.f64 (*.f64 (log.f64 13/2) 27/169) -163/6591)))) (*.f64 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) -2/3)) (fma.f64 1/2 (*.f64 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) (+.f64 (+.f64 (log.f64 13/2) -1/13) -1)) (*.f64 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) (fma.f64 1/2 (pow.f64 (+.f64 (log.f64 13/2) -1/13) 2) 27/169)))) (fma.f64 z (*.f64 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) (+.f64 (+.f64 (log.f64 13/2) -1/13) -1)) (fma.f64 z (*.f64 z (+.f64 (*.f64 1/2 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) (*.f64 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) (-.f64 (fma.f64 1/2 (pow.f64 (+.f64 (log.f64 13/2) -1/13) 2) 27/169) (+.f64 (log.f64 13/2) -1/13))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))))) |
(/.f64 (pow.f64 (+.f64 13/2 z) (-.f64 z 1/2)) (exp.f64 (+.f64 13/2 z))) |
(/.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)) (exp.f64 (+.f64 13/2 z))) |
(*.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)) (exp.f64 (-.f64 -13/2 z))) |
(/.f64 (pow.f64 (+.f64 13/2 z) (-.f64 z 1/2)) (exp.f64 (+.f64 13/2 z))) |
(/.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)) (exp.f64 (+.f64 13/2 z))) |
(*.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)) (exp.f64 (-.f64 -13/2 z))) |
(/.f64 (pow.f64 (+.f64 13/2 z) (-.f64 z 1/2)) (exp.f64 (+.f64 13/2 z))) |
(/.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)) (exp.f64 (+.f64 13/2 z))) |
(*.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)) (exp.f64 (-.f64 -13/2 z))) |
(/.f64 (pow.f64 (+.f64 13/2 z) (-.f64 z 1/2)) (exp.f64 (+.f64 13/2 z))) |
(/.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)) (exp.f64 (+.f64 13/2 z))) |
(*.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)) (exp.f64 (-.f64 -13/2 z))) |
(/.f64 (exp.f64 (*.f64 -1 (*.f64 (log.f64 (-.f64 13/2 (*.f64 -1 z))) (+.f64 (*.f64 -1 z) 1/2)))) (exp.f64 (-.f64 13/2 (*.f64 -1 z)))) |
(/.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)) (exp.f64 (+.f64 13/2 z))) |
(*.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)) (exp.f64 (-.f64 -13/2 z))) |
(/.f64 (exp.f64 (*.f64 -1 (*.f64 (log.f64 (-.f64 13/2 (*.f64 -1 z))) (+.f64 (*.f64 -1 z) 1/2)))) (exp.f64 (-.f64 13/2 (*.f64 -1 z)))) |
(/.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)) (exp.f64 (+.f64 13/2 z))) |
(*.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)) (exp.f64 (-.f64 -13/2 z))) |
(/.f64 (exp.f64 (*.f64 -1 (*.f64 (log.f64 (-.f64 13/2 (*.f64 -1 z))) (+.f64 (*.f64 -1 z) 1/2)))) (exp.f64 (-.f64 13/2 (*.f64 -1 z)))) |
(/.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)) (exp.f64 (+.f64 13/2 z))) |
(*.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)) (exp.f64 (-.f64 -13/2 z))) |
(/.f64 (exp.f64 (*.f64 -1 (*.f64 (log.f64 (-.f64 13/2 (*.f64 -1 z))) (+.f64 (*.f64 -1 z) 1/2)))) (exp.f64 (-.f64 13/2 (*.f64 -1 z)))) |
(/.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)) (exp.f64 (+.f64 13/2 z))) |
(*.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)) (exp.f64 (-.f64 -13/2 z))) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.8b | (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) |
| 1.0b | (sqrt.f64 (*.f64 (PI.f64) 2)) | |
| 1.2b | (exp.f64 (+.f64 z 13/2)) | |
| 1.7b | (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))) |
Compiled 444 to 361 computations (18.7% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | z | @ | 0 | (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) |
| 1.0ms | z | @ | inf | (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) |
| 0.0ms | z | @ | -inf | (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) |
| 1× | batch-egg-rewrite |
| 911× | fma-def_binary64 |
| 472× | fma-neg_binary64 |
| 348× | log1p-udef_binary64 |
| 347× | expm1-udef_binary64 |
| 204× | add-sqr-sqrt_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 16 | 25 |
| 1 | 397 | 25 |
| 2 | 6023 | 25 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) 2) (-.f64 (-.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) (/.f64 (pow.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))) 2) (-.f64 (-.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))))) (#(struct:change #<rule 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#<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (+.f64 z 1)) -3147848041806007/2500000000000 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (*.f64 z z))) (/.f64 1 (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (/.f64 9908947294301912793614221284049/6250000000000000000000000 (pow.f64 (+.f64 z 1) 2)) (/.f64 59493983178131529437839794393961/100000000000000000000000000 (pow.f64 (+.f64 z 2) 2))) (/.f64 1 (-.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))) 1 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) (cbrt.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))))) (cbrt.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) 9999999999998099/10000000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))) (cbrt.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))))) (cbrt.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) (sqrt.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) 9999999999998099/10000000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))) (sqrt.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 7713234287776531/10000000000000 (+.f64 8 (pow.f64 z 3))) (-.f64 (fma.f64 z z 4) (*.f64 z 2)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 7713234287776531/10000000000000 (fma.f64 z z -4)) (+.f64 z -2) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (pow.f64 z 3))) (-.f64 (fma.f64 z z 1) z) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 -3147848041806007/2500000000000 (fma.f64 z z -1)) (+.f64 z -1) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)))))))) |
| 1× | egg-herbie |
| 606× | cancel-sign-sub-inv_binary64 |
| 536× | unswap-sqr_binary64 |
| 507× | fma-neg_binary64 |
| 452× | associate-/r/_binary64 |
| 349× | associate-/r*_binary64 |
Useful iterations: 5 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 35 | 138 |
| 1 | 93 | 138 |
| 2 | 200 | 138 |
| 3 | 463 | 135 |
| 4 | 1156 | 135 |
| 5 | 3890 | 131 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 6765203681218851/10000000000000 z) |
(-.f64 (*.f64 6765203681218851/10000000000000 (/.f64 1 z)) 8724775023335764401/10000000000000000) |
(-.f64 (+.f64 (*.f64 42652334381119581/40000000000000 z) (*.f64 6765203681218851/10000000000000 (/.f64 1 z))) 8724775023335764401/10000000000000000) |
(-.f64 (+.f64 (*.f64 -93017903050015693/80000000000000 (pow.f64 z 2)) (+.f64 (*.f64 42652334381119581/40000000000000 z) (*.f64 6765203681218851/10000000000000 (/.f64 1 z)))) 8724775023335764401/10000000000000000) |
9999999999998099/10000000000000000 |
(+.f64 9999999999998099/10000000000000000 (*.f64 943522900885677/5000000000000 (/.f64 1 z))) |
(-.f64 (+.f64 9999999999998099/10000000000000000 (*.f64 943522900885677/5000000000000 (/.f64 1 z))) (*.f64 1417538204164517/5000000000000 (/.f64 1 (pow.f64 z 2)))) |
(-.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (*.f64 1141346561492631/625000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 943522900885677/5000000000000 (/.f64 1 z)))) (*.f64 1417538204164517/5000000000000 (/.f64 1 (pow.f64 z 2)))) |
9999999999998099/10000000000000000 |
(+.f64 9999999999998099/10000000000000000 (*.f64 943522900885677/5000000000000 (/.f64 1 z))) |
(-.f64 (+.f64 9999999999998099/10000000000000000 (*.f64 943522900885677/5000000000000 (/.f64 1 z))) (*.f64 1417538204164517/5000000000000 (/.f64 1 (pow.f64 z 2)))) |
(-.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (*.f64 1141346561492631/625000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 943522900885677/5000000000000 (/.f64 1 z)))) (*.f64 1417538204164517/5000000000000 (/.f64 1 (pow.f64 z 2)))) |
| Outputs |
|---|
(/.f64 6765203681218851/10000000000000 z) |
(-.f64 (*.f64 6765203681218851/10000000000000 (/.f64 1 z)) 8724775023335764401/10000000000000000) |
(+.f64 (/.f64 6765203681218851/10000000000000 z) -8724775023335764401/10000000000000000) |
(-.f64 (+.f64 (*.f64 42652334381119581/40000000000000 z) (*.f64 6765203681218851/10000000000000 (/.f64 1 z))) 8724775023335764401/10000000000000000) |
(+.f64 (fma.f64 42652334381119581/40000000000000 z (/.f64 6765203681218851/10000000000000 z)) -8724775023335764401/10000000000000000) |
(+.f64 (fma.f64 z 42652334381119581/40000000000000 (/.f64 6765203681218851/10000000000000 z)) -8724775023335764401/10000000000000000) |
(+.f64 (/.f64 6765203681218851/10000000000000 z) (fma.f64 z 42652334381119581/40000000000000 -8724775023335764401/10000000000000000)) |
(-.f64 (+.f64 (*.f64 -93017903050015693/80000000000000 (pow.f64 z 2)) (+.f64 (*.f64 42652334381119581/40000000000000 z) (*.f64 6765203681218851/10000000000000 (/.f64 1 z)))) 8724775023335764401/10000000000000000) |
(+.f64 (fma.f64 -93017903050015693/80000000000000 (*.f64 z z) (fma.f64 42652334381119581/40000000000000 z (/.f64 6765203681218851/10000000000000 z))) -8724775023335764401/10000000000000000) |
(+.f64 (fma.f64 -93017903050015693/80000000000000 (*.f64 z z) (fma.f64 z 42652334381119581/40000000000000 (/.f64 6765203681218851/10000000000000 z))) -8724775023335764401/10000000000000000) |
(+.f64 (fma.f64 z 42652334381119581/40000000000000 (/.f64 6765203681218851/10000000000000 z)) (fma.f64 z (*.f64 z -93017903050015693/80000000000000) -8724775023335764401/10000000000000000)) |
(+.f64 (/.f64 6765203681218851/10000000000000 z) (fma.f64 z (fma.f64 z -93017903050015693/80000000000000 42652334381119581/40000000000000) -8724775023335764401/10000000000000000)) |
9999999999998099/10000000000000000 |
(+.f64 9999999999998099/10000000000000000 (*.f64 943522900885677/5000000000000 (/.f64 1 z))) |
(+.f64 9999999999998099/10000000000000000 (/.f64 943522900885677/5000000000000 z)) |
(-.f64 (+.f64 9999999999998099/10000000000000000 (*.f64 943522900885677/5000000000000 (/.f64 1 z))) (*.f64 1417538204164517/5000000000000 (/.f64 1 (pow.f64 z 2)))) |
(+.f64 9999999999998099/10000000000000000 (-.f64 (/.f64 943522900885677/5000000000000 z) (/.f64 1417538204164517/5000000000000 (*.f64 z z)))) |
(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 943522900885677/5000000000000 z) (/.f64 -1417538204164517/5000000000000 (*.f64 z z)))) |
(+.f64 9999999999998099/10000000000000000 (-.f64 (/.f64 943522900885677/5000000000000 z) (/.f64 (/.f64 1417538204164517/5000000000000 z) z))) |
(+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 943522900885677/5000000000000 z)) (/.f64 -1417538204164517/5000000000000 (*.f64 z z))) |
(-.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (*.f64 1141346561492631/625000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 943522900885677/5000000000000 (/.f64 1 z)))) (*.f64 1417538204164517/5000000000000 (/.f64 1 (pow.f64 z 2)))) |
(+.f64 9999999999998099/10000000000000000 (-.f64 (+.f64 (/.f64 943522900885677/5000000000000 z) (/.f64 1141346561492631/625000000000 (pow.f64 z 3))) (/.f64 1417538204164517/5000000000000 (*.f64 z z)))) |
(+.f64 (+.f64 (/.f64 943522900885677/5000000000000 z) (/.f64 1141346561492631/625000000000 (pow.f64 z 3))) (-.f64 9999999999998099/10000000000000000 (/.f64 1417538204164517/5000000000000 (*.f64 z z)))) |
(+.f64 (/.f64 943522900885677/5000000000000 z) (-.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 1141346561492631/625000000000 (pow.f64 z 3))) (/.f64 1417538204164517/5000000000000 (*.f64 z z)))) |
(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 943522900885677/5000000000000 z) (+.f64 (/.f64 1141346561492631/625000000000 (pow.f64 z 3)) (/.f64 -1417538204164517/5000000000000 (*.f64 z z))))) |
(fma.f64 (/.f64 1 (*.f64 z z)) (+.f64 -1417538204164517/5000000000000 (/.f64 1141346561492631/625000000000 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 943522900885677/5000000000000 z))) |
9999999999998099/10000000000000000 |
(+.f64 9999999999998099/10000000000000000 (*.f64 943522900885677/5000000000000 (/.f64 1 z))) |
(+.f64 9999999999998099/10000000000000000 (/.f64 943522900885677/5000000000000 z)) |
(-.f64 (+.f64 9999999999998099/10000000000000000 (*.f64 943522900885677/5000000000000 (/.f64 1 z))) (*.f64 1417538204164517/5000000000000 (/.f64 1 (pow.f64 z 2)))) |
(+.f64 9999999999998099/10000000000000000 (-.f64 (/.f64 943522900885677/5000000000000 z) (/.f64 1417538204164517/5000000000000 (*.f64 z z)))) |
(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 943522900885677/5000000000000 z) (/.f64 -1417538204164517/5000000000000 (*.f64 z z)))) |
(+.f64 9999999999998099/10000000000000000 (-.f64 (/.f64 943522900885677/5000000000000 z) (/.f64 (/.f64 1417538204164517/5000000000000 z) z))) |
(+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 943522900885677/5000000000000 z)) (/.f64 -1417538204164517/5000000000000 (*.f64 z z))) |
(-.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (*.f64 1141346561492631/625000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 943522900885677/5000000000000 (/.f64 1 z)))) (*.f64 1417538204164517/5000000000000 (/.f64 1 (pow.f64 z 2)))) |
(+.f64 9999999999998099/10000000000000000 (-.f64 (+.f64 (/.f64 943522900885677/5000000000000 z) (/.f64 1141346561492631/625000000000 (pow.f64 z 3))) (/.f64 1417538204164517/5000000000000 (*.f64 z z)))) |
(+.f64 (+.f64 (/.f64 943522900885677/5000000000000 z) (/.f64 1141346561492631/625000000000 (pow.f64 z 3))) (-.f64 9999999999998099/10000000000000000 (/.f64 1417538204164517/5000000000000 (*.f64 z z)))) |
(+.f64 (/.f64 943522900885677/5000000000000 z) (-.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 1141346561492631/625000000000 (pow.f64 z 3))) (/.f64 1417538204164517/5000000000000 (*.f64 z z)))) |
(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 943522900885677/5000000000000 z) (+.f64 (/.f64 1141346561492631/625000000000 (pow.f64 z 3)) (/.f64 -1417538204164517/5000000000000 (*.f64 z z))))) |
(fma.f64 (/.f64 1 (*.f64 z z)) (+.f64 -1417538204164517/5000000000000 (/.f64 1141346561492631/625000000000 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 943522900885677/5000000000000 z))) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.7b | (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2)) |
| 1.0b | (sqrt.f64 (*.f64 (PI.f64) 2)) | |
| 1.2b | (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2))) | |
| 1.7b | (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2)))) |
Compiled 758 to 651 computations (14.1% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | z | @ | 0 | (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2)) |
| 0.0ms | z | @ | inf | (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2)) |
| 0.0ms | z | @ | -inf | (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2)) |
| 1× | batch-egg-rewrite |
| 487× | log-prod_binary64 |
| 338× | fma-def_binary64 |
| 318× | fma-neg_binary64 |
| 315× | pow2_binary64 |
| 295× | prod-diff_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 13 |
| 1 | 251 | 10 |
| 2 | 3478 | 10 |
| 1× | node limit |
| Inputs |
|---|
(pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))) (pow.f64 (cbrt.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))) 2) (cbrt.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 z 13/2)) (pow.f64 (+.f64 z 13/2) (+.f64 z -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1)) (sqrt.f64 (+.f64 z 13/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))) (sqrt.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 (+.f64 z -1/2)) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (+.f64 z 13/2) 2)) (+.f64 z -1/2)) (pow.f64 (cbrt.f64 (+.f64 z 13/2)) (+.f64 z -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (+.f64 z 13/2)) (+.f64 z -1/2)) (pow.f64 (sqrt.f64 (+.f64 z 13/2)) (+.f64 z -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 z 13/2) z) (pow.f64 (+.f64 z 13/2) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 z 13/2) (+.f64 1/2 z)) (pow.f64 (+.f64 z 13/2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (+.f64 z 13/2) z) (sqrt.f64 (+.f64 z 13/2)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 z 13/2) (*.f64 2 (+.f64 z -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (+.f64 z -1/2) (log.f64 (+.f64 z 13/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (+.f64 z -1/2) (log.f64 (+.f64 z 13/2))) 1)))))) |
| 1× | egg-herbie |
| 543× | distribute-rgt-in_binary64 |
| 540× | distribute-lft-in_binary64 |
| 467× | associate-+l+_binary64 |
| 405× | associate-+r+_binary64 |
| 357× | *-commutative_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 44 | 221 |
| 1 | 129 | 213 |
| 2 | 386 | 198 |
| 3 | 1887 | 195 |
| 4 | 7478 | 195 |
| 1× | node limit |
| Inputs |
|---|
(sqrt.f64 2/13) |
(+.f64 (*.f64 (-.f64 (log.f64 13/2) 1/13) (*.f64 z (sqrt.f64 2/13))) (sqrt.f64 2/13)) |
(+.f64 (*.f64 (+.f64 27/169 (*.f64 1/2 (pow.f64 (-.f64 (log.f64 13/2) 1/13) 2))) (*.f64 (pow.f64 z 2) (sqrt.f64 2/13))) (+.f64 (*.f64 (-.f64 (log.f64 13/2) 1/13) (*.f64 z (sqrt.f64 2/13))) (sqrt.f64 2/13))) |
(+.f64 (*.f64 (-.f64 (+.f64 (*.f64 27/169 (-.f64 (log.f64 13/2) 1/13)) (*.f64 1/6 (pow.f64 (-.f64 (log.f64 13/2) 1/13) 3))) 82/6591) (*.f64 (pow.f64 z 3) (sqrt.f64 2/13))) (+.f64 (*.f64 (+.f64 27/169 (*.f64 1/2 (pow.f64 (-.f64 (log.f64 13/2) 1/13) 2))) (*.f64 (pow.f64 z 2) (sqrt.f64 2/13))) (+.f64 (*.f64 (-.f64 (log.f64 13/2) 1/13) (*.f64 z (sqrt.f64 2/13))) (sqrt.f64 2/13)))) |
(pow.f64 (+.f64 13/2 z) (-.f64 z 1/2)) |
(pow.f64 (+.f64 13/2 z) (-.f64 z 1/2)) |
(pow.f64 (+.f64 13/2 z) (-.f64 z 1/2)) |
(pow.f64 (+.f64 13/2 z) (-.f64 z 1/2)) |
(exp.f64 (*.f64 -1 (*.f64 (log.f64 (-.f64 13/2 (*.f64 -1 z))) (+.f64 (*.f64 -1 z) 1/2)))) |
(exp.f64 (*.f64 -1 (*.f64 (log.f64 (-.f64 13/2 (*.f64 -1 z))) (+.f64 (*.f64 -1 z) 1/2)))) |
(exp.f64 (*.f64 -1 (*.f64 (log.f64 (-.f64 13/2 (*.f64 -1 z))) (+.f64 (*.f64 -1 z) 1/2)))) |
(exp.f64 (*.f64 -1 (*.f64 (log.f64 (-.f64 13/2 (*.f64 -1 z))) (+.f64 (*.f64 -1 z) 1/2)))) |
| Outputs |
|---|
(sqrt.f64 2/13) |
(+.f64 (*.f64 (-.f64 (log.f64 13/2) 1/13) (*.f64 z (sqrt.f64 2/13))) (sqrt.f64 2/13)) |
(fma.f64 (+.f64 (log.f64 13/2) -1/13) (*.f64 (sqrt.f64 2/13) z) (sqrt.f64 2/13)) |
(*.f64 (sqrt.f64 2/13) (fma.f64 (+.f64 (log.f64 13/2) -1/13) z 1)) |
(+.f64 (*.f64 (+.f64 27/169 (*.f64 1/2 (pow.f64 (-.f64 (log.f64 13/2) 1/13) 2))) (*.f64 (pow.f64 z 2) (sqrt.f64 2/13))) (+.f64 (*.f64 (-.f64 (log.f64 13/2) 1/13) (*.f64 z (sqrt.f64 2/13))) (sqrt.f64 2/13))) |
(fma.f64 (+.f64 27/169 (*.f64 1/2 (pow.f64 (+.f64 (log.f64 13/2) -1/13) 2))) (*.f64 (sqrt.f64 2/13) (*.f64 z z)) (fma.f64 (+.f64 (log.f64 13/2) -1/13) (*.f64 (sqrt.f64 2/13) z) (sqrt.f64 2/13))) |
(+.f64 (sqrt.f64 2/13) (*.f64 (sqrt.f64 2/13) (+.f64 (*.f64 (fma.f64 1/2 (pow.f64 (+.f64 (log.f64 13/2) -1/13) 2) 27/169) (*.f64 z z)) (*.f64 (+.f64 (log.f64 13/2) -1/13) z)))) |
(fma.f64 (sqrt.f64 2/13) (*.f64 z (+.f64 (*.f64 z (fma.f64 1/2 (pow.f64 (+.f64 (log.f64 13/2) -1/13) 2) 27/169)) (+.f64 (log.f64 13/2) -1/13))) (sqrt.f64 2/13)) |
(fma.f64 (sqrt.f64 2/13) (*.f64 z (+.f64 (+.f64 (log.f64 13/2) -1/13) (*.f64 z (fma.f64 1/2 (pow.f64 (+.f64 (log.f64 13/2) -1/13) 2) 27/169)))) (sqrt.f64 2/13)) |
(+.f64 (*.f64 (-.f64 (+.f64 (*.f64 27/169 (-.f64 (log.f64 13/2) 1/13)) (*.f64 1/6 (pow.f64 (-.f64 (log.f64 13/2) 1/13) 3))) 82/6591) (*.f64 (pow.f64 z 3) (sqrt.f64 2/13))) (+.f64 (*.f64 (+.f64 27/169 (*.f64 1/2 (pow.f64 (-.f64 (log.f64 13/2) 1/13) 2))) (*.f64 (pow.f64 z 2) (sqrt.f64 2/13))) (+.f64 (*.f64 (-.f64 (log.f64 13/2) 1/13) (*.f64 z (sqrt.f64 2/13))) (sqrt.f64 2/13)))) |
(fma.f64 (+.f64 (fma.f64 27/169 (+.f64 (log.f64 13/2) -1/13) (*.f64 1/6 (pow.f64 (+.f64 (log.f64 13/2) -1/13) 3))) -82/6591) (*.f64 (sqrt.f64 2/13) (pow.f64 z 3)) (fma.f64 (+.f64 27/169 (*.f64 1/2 (pow.f64 (+.f64 (log.f64 13/2) -1/13) 2))) (*.f64 (sqrt.f64 2/13) (*.f64 z z)) (fma.f64 (+.f64 (log.f64 13/2) -1/13) (*.f64 (sqrt.f64 2/13) z) (sqrt.f64 2/13)))) |
(+.f64 (fma.f64 (+.f64 (log.f64 13/2) -1/13) (*.f64 (sqrt.f64 2/13) z) (sqrt.f64 2/13)) (*.f64 (sqrt.f64 2/13) (+.f64 (*.f64 (fma.f64 (+.f64 (log.f64 13/2) -1/13) 27/169 (fma.f64 1/6 (pow.f64 (+.f64 (log.f64 13/2) -1/13) 3) -82/6591)) (pow.f64 z 3)) (*.f64 (fma.f64 1/2 (pow.f64 (+.f64 (log.f64 13/2) -1/13) 2) 27/169) (*.f64 z z))))) |
(fma.f64 (sqrt.f64 2/13) (*.f64 (*.f64 z z) (+.f64 (*.f64 z (fma.f64 1/6 (pow.f64 (+.f64 (log.f64 13/2) -1/13) 3) (+.f64 (*.f64 (log.f64 13/2) 27/169) -163/6591))) (fma.f64 1/2 (pow.f64 (+.f64 (log.f64 13/2) -1/13) 2) 27/169))) (*.f64 (sqrt.f64 2/13) (fma.f64 (+.f64 (log.f64 13/2) -1/13) z 1))) |
(*.f64 (sqrt.f64 2/13) (+.f64 (fma.f64 (+.f64 (log.f64 13/2) -1/13) z 1) (*.f64 (*.f64 z z) (+.f64 (fma.f64 1/2 (pow.f64 (+.f64 (log.f64 13/2) -1/13) 2) 27/169) (*.f64 z (fma.f64 1/6 (pow.f64 (+.f64 (log.f64 13/2) -1/13) 3) (+.f64 (*.f64 (log.f64 13/2) 27/169) -163/6591))))))) |
(pow.f64 (+.f64 13/2 z) (-.f64 z 1/2)) |
(pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)) |
(pow.f64 (+.f64 13/2 z) (-.f64 z 1/2)) |
(pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)) |
(pow.f64 (+.f64 13/2 z) (-.f64 z 1/2)) |
(pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)) |
(pow.f64 (+.f64 13/2 z) (-.f64 z 1/2)) |
(pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)) |
(exp.f64 (*.f64 -1 (*.f64 (log.f64 (-.f64 13/2 (*.f64 -1 z))) (+.f64 (*.f64 -1 z) 1/2)))) |
(pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)) |
(exp.f64 (*.f64 -1 (*.f64 (log.f64 (-.f64 13/2 (*.f64 -1 z))) (+.f64 (*.f64 -1 z) 1/2)))) |
(pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)) |
(exp.f64 (*.f64 -1 (*.f64 (log.f64 (-.f64 13/2 (*.f64 -1 z))) (+.f64 (*.f64 -1 z) 1/2)))) |
(pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)) |
(exp.f64 (*.f64 -1 (*.f64 (log.f64 (-.f64 13/2 (*.f64 -1 z))) (+.f64 (*.f64 -1 z) 1/2)))) |
(pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)) |
Compiled 98849 to 81938 computations (17.1% saved)
118 alts after pruning (114 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 990 | 75 | 1065 |
| Fresh | 31 | 39 | 70 |
| Picked | 1 | 0 | 1 |
| Done | 2 | 4 | 6 |
| Total | 1024 | 118 | 1142 |
| Status | Error | Program |
|---|---|---|
| 4.0b | (*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 z -1) 15/2) (+.f64 z -1/2))) (exp.f64 (+.f64 (+.f64 z -1) 15/2))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 1 (/.f64 (-.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 z -1))) (-.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) 2) (/.f64 9908947294301912793614221284049/6250000000000000000000000 (pow.f64 (-.f64 z -1) 2))))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8)))) | |
| 3.9b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (/.f64 (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 (fma.f64 (fma.f64 (+.f64 z 1) 7713234287776531/10000000000000 (fma.f64 z -3147848041806007/2500000000000 -3147848041806007/1250000000000)) (/.f64 1 (*.f64 (+.f64 z 1) (+.f64 z 2))) (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))) (-.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))) | |
| 4.0b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (/.f64 (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))) (-.f64 9999999999998099/10000000000000000 (/.f64 1 (/.f64 (-.f64 (-.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))) (-.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (*.f64 z z)) (pow.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))) 2)))))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))) | |
| 4.8b | (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (pow.f64 (E.f64) (+.f64 z 13/2))))) | |
| 3.8b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))) 3))) | |
| 3.8b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (cbrt.f64 (pow.f64 (exp.f64 2) (+.f64 z 13/2))) (cbrt.f64 (exp.f64 (+.f64 z 13/2))))))) | |
| 3.8b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (/.f64 (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 (/.f64 (-.f64 (*.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))) (/.f64 59493983178131529437839794393961/100000000000000000000000000 (pow.f64 (+.f64 z 2) 2))) (-.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))) (-.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))) | |
| 5.2b | (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (*.f64 (+.f64 z -1/2) (log.f64 (+.f64 z 13/2))))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 1 (/.f64 (-.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 z -1))) (-.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) 2) (/.f64 9908947294301912793614221284049/6250000000000000000000000 (pow.f64 (-.f64 z -1) 2))))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8)))) | |
| 3.8b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (*.f64 (/.f64 (pow.f64 (cbrt.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))) 2) 1) (/.f64 (cbrt.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))) (exp.f64 (+.f64 z 13/2)))))) | |
| 4.6b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (/.f64 (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))) (-.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (pow.f64 (pow.f64 (exp.f64 (+.f64 z 13/2)) 3) 1/3)))) | |
| 4.5b | (*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 2)) 2)) (sqrt.f64 (cbrt.f64 (*.f64 (PI.f64) 2)))) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (pow.f64 (E.f64) (+.f64 z 13/2))))) | |
| 11.3b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (pow.f64 (pow.f64 (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))) 3) 1/3))) | |
| 56.7b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)))) | |
| 3.9b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (/.f64 (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 (/.f64 (fma.f64 (fma.f64 (+.f64 z 1) 7713234287776531/10000000000000 (fma.f64 z -3147848041806007/2500000000000 -3147848041806007/1250000000000)) z (*.f64 (*.f64 (+.f64 z 1) (+.f64 z 2)) 6765203681218851/10000000000000)) (*.f64 (*.f64 (+.f64 z 1) (+.f64 z 2)) z)) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))) (-.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))) | |
| 4.7b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (/.f64 (+.f64 (*.f64 (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (*.f64 z z))) (+.f64 (/.f64 9908947294301912793614221284049/6250000000000000000000000 (pow.f64 (+.f64 z 1) 2)) (-.f64 (/.f64 59493983178131529437839794393961/100000000000000000000000000 (pow.f64 (+.f64 z 2) 2)) (/.f64 -24280089448768304182713669421717/25000000000000000000000000 (*.f64 (+.f64 z 1) (+.f64 z 2)))))) (*.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (pow.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) 3) (/.f64 458891030965964263706993392018425544321343929291/1000000000000000000000000000000000000000 (pow.f64 (+.f64 z 2) 3))))) (*.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 9908947294301912793614221284049/6250000000000000000000000 (pow.f64 (+.f64 z 1) 2)) (-.f64 (/.f64 59493983178131529437839794393961/100000000000000000000000000 (pow.f64 (+.f64 z 2) 2)) (/.f64 -24280089448768304182713669421717/25000000000000000000000000 (*.f64 (+.f64 z 1) (+.f64 z 2))))))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (pow.f64 (E.f64) (+.f64 z 13/2))))) | |
| 3.7b | (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (cbrt.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (-.f64 z -1)))) 3)) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8)))) | |
| 4.0b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (pow.f64 (cbrt.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))))) 3) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))) | |
| 4.3b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (/.f64 (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))) (-.f64 9999999999998099/10000000000000000 (/.f64 (-.f64 (*.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))) (/.f64 59493983178131529437839794393961/100000000000000000000000000 (pow.f64 (+.f64 z 2) 2))) (-.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))) | |
| 4.1b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (/.f64 (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))) (-.f64 9999999999998099/10000000000000000 (cbrt.f64 (pow.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 6765203681218851/10000000000000 z))) 3)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))) | |
| 6.2b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (+.f64 z 13/2)) 2)) (cbrt.f64 (+.f64 z 13/2)))))) | |
| 5.0b | (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (expm1.f64 (log1p.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 1 (/.f64 (-.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 z -1))) (-.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) 2) (/.f64 9908947294301912793614221284049/6250000000000000000000000 (pow.f64 (-.f64 z -1) 2))))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8)))) | |
| 52.5b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 943522900885677/5000000000000 z)) (/.f64 -1417538204164517/5000000000000 (*.f64 z z))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))) | |
| 3.6b | (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (*.f64 1 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (-.f64 z -1))))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8)))) | |
| 3.7b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (/.f64 (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 (/.f64 (-.f64 (pow.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))) 2) (/.f64 45767980848377092942628957760201/100000000000000000000000000 (*.f64 z z))) (-.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))) (/.f64 6765203681218851/10000000000000 z))) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))) (-.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))) | |
| 3.7b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (*.f64 (neg.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))) (/.f64 1 (neg.f64 (exp.f64 (+.f64 z 13/2))))))) | |
| 6.2b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (/.f64 (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))) (-.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (+.f64 z 13/2)) 2)) (cbrt.f64 (+.f64 z 13/2)))))) | |
| 3.8b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (pow.f64 (cbrt.f64 (exp.f64 (+.f64 z 13/2))) 3)))) | |
| 4.1b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (/.f64 (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 (fma.f64 (/.f64 1 (+.f64 z 1)) -3147848041806007/2500000000000 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 6765203681218851/10000000000000 z))) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))) (-.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))) | |
| 3.8b | (*.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8)))) | |
| 3.9b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (/.f64 (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) (*.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 6765203681218851/10000000000000 z))) 1))) (-.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))) | |
| 3.8b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (*.f64 (/.f64 (pow.f64 (+.f64 z 13/2) z) (exp.f64 z)) (/.f64 (pow.f64 (+.f64 z 13/2) -1/2) (exp.f64 13/2))))) | |
| 3.6b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (/.f64 (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))) (-.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (*.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)) (exp.f64 (-.f64 -13/2 z))))) | |
| 4.6b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (/.f64 (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))) (-.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (expm1.f64 (log1p.f64 (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))))) | |
| 3.7b | (*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 2)) 2)) (sqrt.f64 (cbrt.f64 (*.f64 (PI.f64) 2)))) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))) | |
| 49.9b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 943522900885677/5000000000000 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))) | |
| ▶ | 4.7b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (expm1.f64 (log1p.f64 (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))))) |
| 4.3b | (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 (PI.f64) 2))) 3) (*.f64 (+.f64 (/.f64 (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))) (-.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))) | |
| ▶ | 3.7b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (*.f64 (pow.f64 (+.f64 z 13/2) z) (*.f64 (pow.f64 (+.f64 z 13/2) -1/2) (exp.f64 (-.f64 (neg.f64 z) 13/2)))))) |
| 4.8b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (/.f64 (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))) (-.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (pow.f64 (exp.f64 (sqrt.f64 (+.f64 z 13/2))) (sqrt.f64 (+.f64 z 13/2)))))) | |
| 3.7b | (*.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 2)) 2)) (sqrt.f64 (cbrt.f64 (*.f64 (PI.f64) 2)))) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8)))) | |
| 4.1b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (/.f64 (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))) (-.f64 9999999999998099/10000000000000000 (*.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 6765203681218851/10000000000000 z))) 1))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))) | |
| 5.0b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (/.f64 (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))) (-.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (exp.f64 (*.f64 -1 (*.f64 (log.f64 (-.f64 13/2 (*.f64 -1 z))) (+.f64 (*.f64 -1 z) 1/2)))) (exp.f64 (-.f64 13/2 (*.f64 -1 z)))))) | |
| 3.8b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (/.f64 (-.f64 (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))) (/.f64 59493983178131529437839794393961/100000000000000000000000000 (pow.f64 (+.f64 z 2) 2))) (-.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))) | |
| 3.7b | (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))) | |
| 49.9b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (*.f64 943522900885677/5000000000000 (/.f64 1 z))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))) | |
| 3.9b | (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 (+.f64 (*.f64 (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (*.f64 z z))) (-.f64 z -1)) (*.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) -3147848041806007/2500000000000)) (*.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (-.f64 z -1))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8)))) | |
| ✓ | 4.6b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (pow.f64 (E.f64) (+.f64 z 13/2))))) |
| 4.5b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (/.f64 (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))) (-.f64 9999999999998099/10000000000000000 (fma.f64 (/.f64 1 (+.f64 z 1)) -3147848041806007/2500000000000 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 6765203681218851/10000000000000 z))))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))) | |
| 4.0b | (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (fma.f64 (sqrt.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z))) (sqrt.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 z -1))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8)))) | |
| 5.0b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (/.f64 (+.f64 (*.f64 (-.f64 (/.f64 9908947294301912793614221284049/6250000000000000000000000 (pow.f64 (+.f64 z 1) 2)) (/.f64 59493983178131529437839794393961/100000000000000000000000000 (pow.f64 (+.f64 z 2) 2))) (+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (-.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (*.f64 z z)) (*.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z))))) (*.f64 (-.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))) (+.f64 999999999999429700000000108414029999993130164299/1000000000000000000000000000000000000000000000000 (/.f64 309629712517394580428200722024092610534658749051/1000000000000000000000000000000000000000 (pow.f64 z 3))))) (*.f64 (-.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))) (+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (-.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (*.f64 z z)) (*.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)))))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (pow.f64 (E.f64) (+.f64 z 13/2))))) | |
| 3.8b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (/.f64 (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))) (-.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (exp.f64 (-.f64 (*.f64 (+.f64 z -1/2) (log.f64 (+.f64 z 13/2))) (+.f64 z 13/2))))) | |
| 4.0b | (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 (+.f64 (*.f64 (+.f64 999999999999429700000000108414029999993130164299/1000000000000000000000000000000000000000000000000 (pow.f64 (/.f64 6765203681218851/10000000000000 z) 3)) (-.f64 z -1)) (*.f64 (+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 (/.f64 6765203681218851/10000000000000 z) (-.f64 (/.f64 6765203681218851/10000000000000 z) 9999999999998099/10000000000000000))) -3147848041806007/2500000000000)) (*.f64 (+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 (/.f64 6765203681218851/10000000000000 z) (-.f64 (/.f64 6765203681218851/10000000000000 z) 9999999999998099/10000000000000000))) (-.f64 z -1))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8)))) | |
| ▶ | 63.1b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)))) |
| 3.7b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (/.f64 (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 (fma.f64 (/.f64 1 z) 6765203681218851/10000000000000 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))) (-.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))) | |
| 4.0b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (/.f64 (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))) (-.f64 9999999999998099/10000000000000000 (/.f64 (-.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (*.f64 z z)) (pow.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))) 2)) (-.f64 (-.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))) | |
| 3.7b | (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (/.f64 1 (exp.f64 (+.f64 (+.f64 z -1) 15/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8)))) | |
| 3.9b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (*.f64 (/.f64 1 (exp.f64 z)) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 13/2))))) | |
| 3.8b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (sqrt.f64 (pow.f64 (exp.f64 2) (+.f64 z 13/2)))))) | |
| ✓ | 3.6b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (/.f64 (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))) (-.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))) |
| 3.7b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (/.f64 (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 (/.f64 (+.f64 (-.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))) (*.f64 (*.f64 z 10000000000000/6765203681218851) (-.f64 (/.f64 9908947294301912793614221284049/6250000000000000000000000 (pow.f64 (+.f64 z 1) 2)) (/.f64 59493983178131529437839794393961/100000000000000000000000000 (pow.f64 (+.f64 z 2) 2))))) (*.f64 (*.f64 z 10000000000000/6765203681218851) (-.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))))) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))) (-.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))) | |
| 3.7b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (pow.f64 (/.f64 (exp.f64 (+.f64 z 13/2)) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))) -1))) | |
| 4.7b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (/.f64 (+.f64 (*.f64 (fma.f64 -3147848041806007/2500000000000 (+.f64 z 2) (*.f64 (+.f64 z 1) 7713234287776531/10000000000000)) (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z))) (*.f64 (*.f64 (+.f64 z 1) (+.f64 z 2)) (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (*.f64 z z))))) (*.f64 (*.f64 (+.f64 z 1) (+.f64 z 2)) (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (pow.f64 (E.f64) (+.f64 z 13/2))))) | |
| 3.9b | (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (*.f64 (+.f64 (exp.f64 (log.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))) | |
| 63.0b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 (+.f64 z 13/2))))) | |
| 3.8b | (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (*.f64 (exp.f64 (neg.f64 (+.f64 z 6))) (exp.f64 -1/2))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8)))) | |
| 5.2b | (*.f64 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 (*.f64 -1 (*.f64 (log.f64 (-.f64 13/2 (*.f64 -1 z))) (+.f64 (*.f64 -1 z) 1/2)))) (exp.f64 (-.f64 (*.f64 -1 z) 13/2)))) (sqrt.f64 (PI.f64))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8)))) | |
| 3.6b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (/.f64 (+.f64 (pow.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) 3) (/.f64 458891030965964263706993392018425544321343929291/1000000000000000000000000000000000000000 (pow.f64 (+.f64 z 2) 3))) (+.f64 (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))) (-.f64 (/.f64 59493983178131529437839794393961/100000000000000000000000000 (pow.f64 (+.f64 z 2) 2)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))) | |
| 3.7b | (*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 2)) 2)) (sqrt.f64 (cbrt.f64 (*.f64 (PI.f64) 2)))) (*.f64 (+.f64 (exp.f64 (log.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))) | |
| 3.8b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (*.f64 (pow.f64 (cbrt.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))) 2) (*.f64 (cbrt.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))) (exp.f64 (-.f64 (neg.f64 z) 13/2)))))) | |
| 3.8b | (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (exp.f64 (-.f64 -13/2 z)) (pow.f64 (-.f64 z -13/2) (-.f64 1/2 z))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8)))) | |
| 3.7b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (*.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)) (exp.f64 (-.f64 -13/2 z))))) | |
| 3.9b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (/.f64 (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 (/.f64 (fma.f64 (+.f64 z 1) (+.f64 z 2) (*.f64 (*.f64 z 10000000000000/6765203681218851) (fma.f64 (+.f64 z 1) 7713234287776531/10000000000000 (fma.f64 z -3147848041806007/2500000000000 -3147848041806007/1250000000000)))) (*.f64 (*.f64 z 10000000000000/6765203681218851) (*.f64 (+.f64 z 1) (+.f64 z 2)))) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))) (-.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))) | |
| 4.1b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (/.f64 (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))) (-.f64 9999999999998099/10000000000000000 (fma.f64 (/.f64 1 z) 6765203681218851/10000000000000 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))) | |
| 3.7b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (/.f64 (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 (-.f64 (/.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (*.f64 z z)) (-.f64 (-.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) (/.f64 (pow.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))) 2) (-.f64 (-.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))))) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))) (-.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))) | |
| 3.7b | (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (fma.f64 -3147848041806007/2500000000000 (/.f64 1 (-.f64 z -1)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8)))) | |
| 55.1b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (-.f64 (+.f64 (*.f64 42652334381119581/40000000000000 z) (*.f64 6765203681218851/10000000000000 (/.f64 1 z))) 8724775023335764401/10000000000000000) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))) | |
| 3.9b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (/.f64 (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))) (-.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (expm1.f64 (log1p.f64 (exp.f64 (+.f64 z 13/2))))))) | |
| 3.8b | (*.f64 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 (+.f64 13/2 z) (-.f64 z 1/2)) (exp.f64 (neg.f64 (+.f64 13/2 z))))) (sqrt.f64 (PI.f64))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8)))) | |
| 4.0b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (/.f64 (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 6765203681218851/10000000000000 z))) 3) 1/3) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))) (-.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))) | |
| 3.8b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (/.f64 (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 (/.f64 (fma.f64 6765203681218851/10000000000000 (-.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))) (*.f64 z (-.f64 (/.f64 9908947294301912793614221284049/6250000000000000000000000 (pow.f64 (+.f64 z 1) 2)) (/.f64 59493983178131529437839794393961/100000000000000000000000000 (pow.f64 (+.f64 z 2) 2))))) (*.f64 z (-.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))))) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))) (-.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))) | |
| 3.6b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (/.f64 (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 (fma.f64 (/.f64 1 (+.f64 z 2)) 7713234287776531/10000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))) (-.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))) | |
| 3.8b | (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (-.f64 z -1))) (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (-.f64 z -1))))) (-.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (-.f64 z -1))))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8)))) | |
| 3.8b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (exp.f64 (log.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (pow.f64 (cbrt.f64 (exp.f64 (+.f64 z 13/2))) 3)))) | |
| 3.6b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (/.f64 (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))) (-.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (*.f64 (neg.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))) (/.f64 1 (neg.f64 (exp.f64 (+.f64 z 13/2))))))) | |
| 3.9b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (/.f64 (+.f64 (*.f64 (-.f64 (/.f64 9908947294301912793614221284049/6250000000000000000000000 (pow.f64 (+.f64 z 1) 2)) (/.f64 59493983178131529437839794393961/100000000000000000000000000 (pow.f64 (+.f64 z 2) 2))) (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z))) (*.f64 (-.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))) (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (*.f64 z z))))) (*.f64 (-.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))) (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))) | |
| 4.0b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (exp.f64 (log.f64 (/.f64 (fma.f64 (fma.f64 (+.f64 z 1) 7713234287776531/10000000000000 (fma.f64 z -3147848041806007/2500000000000 -3147848041806007/1250000000000)) (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (*.f64 (*.f64 (+.f64 z 1) (+.f64 z 2)) (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (*.f64 z z))))) (*.f64 (*.f64 (+.f64 z 1) (+.f64 z 2)) (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)))))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))) | |
| 4.6b | (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (pow.f64 (exp.f64 -1) (+.f64 (+.f64 z -1) 15/2))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 1 (/.f64 (-.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 z -1))) (-.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) 2) (/.f64 9908947294301912793614221284049/6250000000000000000000000 (pow.f64 (-.f64 z -1) 2))))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8)))) | |
| 3.9b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (expm1.f64 (log1p.f64 (exp.f64 (+.f64 z 13/2))))))) | |
| 3.8b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (/.f64 (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 (/.f64 (fma.f64 6765203681218851/10000000000000 (*.f64 (+.f64 z 1) (+.f64 z 2)) (*.f64 z (fma.f64 (+.f64 z 1) 7713234287776531/10000000000000 (fma.f64 z -3147848041806007/2500000000000 -3147848041806007/1250000000000)))) (*.f64 z (*.f64 (+.f64 z 1) (+.f64 z 2)))) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))) (-.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))) | |
| 3.7b | (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 (+.f64 999999999999429700000000108414029999993130164299/1000000000000000000000000000000000000000000000000 (pow.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (-.f64 z -1))) 3)) (+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (-.f64 (*.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (-.f64 z -1))) (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (-.f64 z -1)))) (*.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (-.f64 z -1))))))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8)))) | |
| 63.0b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (exp.f64 (-.f64 (*.f64 (+.f64 z -1/2) (log.f64 (+.f64 z 13/2))) (+.f64 z 13/2))))) | |
| 3.8b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (/.f64 (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))) (-.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (exp.f64 z) (exp.f64 13/2))))) | |
| 3.8b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (/.f64 (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))) (-.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (*.f64 (/.f64 1 (exp.f64 z)) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 13/2))))) | |
| 3.9b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (/.f64 (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))) (-.f64 9999999999998099/10000000000000000 (fma.f64 (/.f64 1 (+.f64 z 2)) 7713234287776531/10000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))) | |
| 3.8b | (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 (+.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) 3) (/.f64 -31191860336727207531769765603776766852501482343/15625000000000000000000000000000000000 (pow.f64 (-.f64 z -1) 3))) (+.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) 2) (*.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 z -1)) (-.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 z -1)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)))))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8)))) | |
| 4.6b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (/.f64 (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))) (-.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (pow.f64 (E.f64) (+.f64 z 13/2))))) | |
| 53.4b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))) | |
| 4.3b | (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (pow.f64 (exp.f64 -1) (+.f64 (+.f64 z -1) 15/2))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8)))) | |
| 13.7b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (pow.f64 (/.f64 (pow.f64 (+.f64 z 13/2) (*.f64 (+.f64 z -1/2) 3)) (pow.f64 (exp.f64 (+.f64 z 13/2)) 3)) 1/3))) | |
| 3.8b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (/.f64 (+.f64 (*.f64 (fma.f64 -3147848041806007/2500000000000 (+.f64 z 2) (*.f64 (+.f64 z 1) 7713234287776531/10000000000000)) (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z))) (*.f64 (*.f64 (+.f64 z 1) (+.f64 z 2)) (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (*.f64 z z))))) (*.f64 (*.f64 (+.f64 z 1) (+.f64 z 2)) (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))) | |
| 3.7b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (cbrt.f64 (pow.f64 (exp.f64 (+.f64 z 13/2)) 3))))) | |
| 4.0b | (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (exp.f64 (-.f64 -13/2 z)) (pow.f64 (-.f64 z -13/2) (-.f64 1/2 z))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 1 (/.f64 (-.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 z -1))) (-.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) 2) (/.f64 9908947294301912793614221284049/6250000000000000000000000 (pow.f64 (-.f64 z -1) 2))))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8)))) | |
| ✓ | 3.7b | (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8)))) |
| 3.7b | (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (*.f64 (+.f64 (/.f64 (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))) (-.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))) | |
| 3.9b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (/.f64 (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) (expm1.f64 (log1p.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 6765203681218851/10000000000000 z))))))) (-.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))) | |
| 3.7b | (*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 z -1) 15/2) (+.f64 z -1/2))) (exp.f64 (+.f64 (+.f64 z -1) 15/2))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8)))) | |
| ▶ | 3.7b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (exp.f64 (log.f64 (fma.f64 (/.f64 1 z) 6765203681218851/10000000000000 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))))))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))) |
| 4.1b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (/.f64 (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 (fma.f64 (/.f64 -3147848041806007/2500000000000 (fma.f64 z z -1)) (-.f64 z 1) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 6765203681218851/10000000000000 z))) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))) (-.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))) | |
| 4.4b | (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 (PI.f64) 2))) 3) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))) | |
| 4.0b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (/.f64 (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))) (-.f64 9999999999998099/10000000000000000 (fma.f64 (sqrt.f64 (/.f64 6765203681218851/10000000000000 z)) (sqrt.f64 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))) | |
| 4.2b | (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 (+.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (*.f64 (*.f64 (-.f64 z -1) -2500000000000/3147848041806007) (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (*.f64 z z))))) (*.f64 (*.f64 (-.f64 z -1) -2500000000000/3147848041806007) (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8)))) | |
| 4.6b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (exp.f64 (log.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (pow.f64 (E.f64) (+.f64 z 13/2))))) | |
| ▶ | 3.6b | (*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 2)) 2)) (sqrt.f64 (cbrt.f64 (*.f64 (PI.f64) 2)))) (*.f64 (+.f64 (/.f64 (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))) (-.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))) |
| 3.7b | (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (exp.f64 (-.f64 -13/2 z))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8)))) | |
| 3.9b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (exp.f64 z) (exp.f64 13/2))))) | |
| ✓ | 3.7b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))) |
| 3.9b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (exp.f64 (-.f64 (*.f64 (+.f64 z -1/2) (log.f64 (+.f64 z 13/2))) (+.f64 z 13/2))))) | |
| 4.4b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (/.f64 (-.f64 (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))) (/.f64 59493983178131529437839794393961/100000000000000000000000000 (pow.f64 (+.f64 z 2) 2))) (-.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (pow.f64 (E.f64) (+.f64 z 13/2))))) |
Compiled 21306 to 17956 computations (15.7% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 1.0b | (sqrt.f64 (cbrt.f64 (*.f64 (PI.f64) 2))) |
| ✓ | 1.0b | (cbrt.f64 (*.f64 (PI.f64) 2)) |
| 1.2b | (exp.f64 (+.f64 z 13/2)) | |
| 1.7b | (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))) |
Compiled 669 to 545 computations (18.5% saved)
| 1× | batch-egg-rewrite |
| 487× | pow1_binary64 |
| 473× | add-sqr-sqrt_binary64 |
| 455× | add-log-exp_binary64 |
| 455× | log1p-expm1-u_binary64 |
| 455× | expm1-log1p-u_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 16 |
| 1 | 119 | 15 |
| 2 | 1299 | 15 |
| 1× | node limit |
| Inputs |
|---|
(cbrt.f64 (*.f64 (PI.f64) 2)) |
(sqrt.f64 (cbrt.f64 (*.f64 (PI.f64) 2))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (cbrt.f64 (*.f64 (PI.f64) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (PI.f64) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (PI.f64) 2) 1/6) (pow.f64 (*.f64 (PI.f64) 2) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (*.f64 (PI.f64) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 2) (cbrt.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (*.f64 (PI.f64) 2))) (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) 2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (*.f64 (PI.f64) 2))) (*.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) 2) 1/6)) (pow.f64 (*.f64 (PI.f64) 2) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) 2) 2))) (cbrt.f64 (cbrt.f64 (*.f64 (PI.f64) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 2)) 1/4) (*.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 2)) 1/4) (pow.f64 (*.f64 (PI.f64) 2) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (*.f64 (PI.f64) 2) 1/6) (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 2)) 1/4)) (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 2)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (*.f64 (PI.f64) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) 2) 2)) 1/3) (cbrt.f64 (cbrt.f64 (*.f64 (PI.f64) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (*.f64 (PI.f64) 2) 1/6) (cbrt.f64 (cbrt.f64 (*.f64 (PI.f64) 2)))) (cbrt.f64 (pow.f64 (*.f64 (PI.f64) 2) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (PI.f64) 2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (PI.f64) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (PI.f64) 2) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) 2) 2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (PI.f64) 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) 2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (*.f64 (PI.f64) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 (PI.f64) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 (PI.f64) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (*.f64 (PI.f64) 2)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (pow.f64 (*.f64 (PI.f64) 2) 1/6)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (PI.f64) 2) 1/6) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (*.f64 (PI.f64) 2) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) 2) 1/6)) (cbrt.f64 (cbrt.f64 (*.f64 (PI.f64) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (*.f64 (PI.f64) 2))) (cbrt.f64 (pow.f64 (*.f64 (PI.f64) 2) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 2)) 1/4) (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 2)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) 2) 2)))) (sqrt.f64 (cbrt.f64 (cbrt.f64 (*.f64 (PI.f64) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (PI.f64))) (sqrt.f64 (cbrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (pow.f64 (*.f64 (PI.f64) 2) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) 2) 2))) 1/2) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (PI.f64) 2))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (PI.f64)) 1/2) (pow.f64 (cbrt.f64 2) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (PI.f64) 2) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (PI.f64) 2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (PI.f64) 2) 1/6) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) 2) 1/6)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 2)) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (pow.f64 (*.f64 (PI.f64) 2) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (*.f64 (PI.f64) 2) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (sqrt.f64 (*.f64 (PI.f64) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (*.f64 (PI.f64) 2) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (*.f64 (PI.f64) 2) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (pow.f64 (*.f64 (PI.f64) 2) 1/6))))))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 0 | 0 |
| 1× | saturated |
| Inputs |
|---|
| Outputs |
|---|
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.5b | (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) |
| ✓ | 0.5b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)))) |
| 1.0b | (sqrt.f64 (*.f64 (PI.f64) 2)) | |
| ✓ | 1.0b | (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) |
Compiled 263 to 220 computations (16.3% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | z | @ | 0 | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)))) |
| 3.0ms | z | @ | inf | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)))) |
| 2.0ms | z | @ | -inf | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)))) |
| 1.0ms | z | @ | inf | (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) |
| 1.0ms | z | @ | 0 | (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) |
| 1× | batch-egg-rewrite |
| 475× | add-sqr-sqrt_binary64 |
| 452× | add-log-exp_binary64 |
| 451× | add-exp-log_binary64 |
| 451× | log1p-expm1-u_binary64 |
| 451× | expm1-log1p-u_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 39 | 80 |
| 1 | 943 | 80 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)))) |
(/.f64 -883075145810703/5000000000000 (+.f64 z 3)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 2/13) (/.f64 1 (exp.f64 13/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) (cbrt.f64 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)))) (cbrt.f64 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) (sqrt.f64 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))))))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))))))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))))))))))) |
((#(struct:change #<rule egg-rr> (2) ((x *.f64 -883075145810703/5000000000000 (/.f64 1 (+.f64 z 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3))) (cbrt.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)))) (cbrt.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3))) (sqrt.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (*.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)))))))) |
| 1× | egg-herbie |
| 731× | associate-/r/_binary64 |
| 514× | associate-/l/_binary64 |
| 418× | fma-def_binary64 |
| 258× | distribute-lft-out_binary64 |
| 253× | associate-*l*_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 99 | 922 |
| 1 | 276 | 878 |
| 2 | 877 | 822 |
| 3 | 3941 | 673 |
| 4 | 6856 | 671 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -28755590378125365543517613/525000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (exp.f64 13/2)) (sqrt.f64 (PI.f64)))) |
(+.f64 (*.f64 6493630508033571946468877/344531250000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 z (sqrt.f64 2/13))) (exp.f64 13/2)) (sqrt.f64 (PI.f64)))) (*.f64 -28755590378125365543517613/525000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (exp.f64 13/2)) (sqrt.f64 (PI.f64))))) |
(+.f64 (*.f64 6493630508033571946468877/344531250000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 z (sqrt.f64 2/13))) (exp.f64 13/2)) (sqrt.f64 (PI.f64)))) (+.f64 (*.f64 -2938968468395073868984007209/463050000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 z 2) (sqrt.f64 2/13))) (exp.f64 13/2)) (sqrt.f64 (PI.f64)))) (*.f64 -28755590378125365543517613/525000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (exp.f64 13/2)) (sqrt.f64 (PI.f64)))))) |
(+.f64 (*.f64 6493630508033571946468877/344531250000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 z (sqrt.f64 2/13))) (exp.f64 13/2)) (sqrt.f64 (PI.f64)))) (+.f64 (*.f64 20729704070813637557713537427/9724050000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 z 3) (sqrt.f64 2/13))) (exp.f64 13/2)) (sqrt.f64 (PI.f64)))) (+.f64 (*.f64 -2938968468395073868984007209/463050000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 z 2) (sqrt.f64 2/13))) (exp.f64 13/2)) (sqrt.f64 (PI.f64)))) (*.f64 -28755590378125365543517613/525000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (exp.f64 13/2)) (sqrt.f64 (PI.f64))))))) |
(*.f64 9999999999998099/10000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (exp.f64 13/2)) (sqrt.f64 (PI.f64)))) |
(+.f64 (*.f64 -4106156171094664089637421/25000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (*.f64 (exp.f64 13/2) z)) (sqrt.f64 (PI.f64)))) (*.f64 9999999999998099/10000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (exp.f64 13/2)) (sqrt.f64 (PI.f64))))) |
(+.f64 (*.f64 -4106156171094664089637421/25000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (*.f64 (exp.f64 13/2) z)) (sqrt.f64 (PI.f64)))) (+.f64 (*.f64 9999999999998099/10000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (exp.f64 13/2)) (sqrt.f64 (PI.f64)))) (*.f64 12012712722196059946951247/25000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (*.f64 (exp.f64 13/2) (pow.f64 z 2))) (sqrt.f64 (PI.f64)))))) |
(+.f64 (*.f64 -4106156171094664089637421/25000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (*.f64 (exp.f64 13/2) z)) (sqrt.f64 (PI.f64)))) (+.f64 (*.f64 -34822042014175317801594529/25000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (*.f64 (exp.f64 13/2) (pow.f64 z 3))) (sqrt.f64 (PI.f64)))) (+.f64 (*.f64 9999999999998099/10000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (exp.f64 13/2)) (sqrt.f64 (PI.f64)))) (*.f64 12012712722196059946951247/25000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (*.f64 (exp.f64 13/2) (pow.f64 z 2))) (sqrt.f64 (PI.f64))))))) |
(*.f64 9999999999998099/10000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (exp.f64 13/2)) (sqrt.f64 (PI.f64)))) |
(+.f64 (*.f64 -4106156171094664089637421/25000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (*.f64 (exp.f64 13/2) z)) (sqrt.f64 (PI.f64)))) (*.f64 9999999999998099/10000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (exp.f64 13/2)) (sqrt.f64 (PI.f64))))) |
(+.f64 (*.f64 -4106156171094664089637421/25000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (*.f64 (exp.f64 13/2) z)) (sqrt.f64 (PI.f64)))) (+.f64 (*.f64 9999999999998099/10000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (exp.f64 13/2)) (sqrt.f64 (PI.f64)))) (*.f64 12012712722196059946951247/25000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (*.f64 (exp.f64 13/2) (pow.f64 z 2))) (sqrt.f64 (PI.f64)))))) |
(+.f64 (*.f64 -4106156171094664089637421/25000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (*.f64 (exp.f64 13/2) z)) (sqrt.f64 (PI.f64)))) (+.f64 (*.f64 -34822042014175317801594529/25000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (*.f64 (exp.f64 13/2) (pow.f64 z 3))) (sqrt.f64 (PI.f64)))) (+.f64 (*.f64 9999999999998099/10000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (exp.f64 13/2)) (sqrt.f64 (PI.f64)))) (*.f64 12012712722196059946951247/25000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (*.f64 (exp.f64 13/2) (pow.f64 z 2))) (sqrt.f64 (PI.f64))))))) |
-294358381936901/5000000000000 |
(-.f64 (*.f64 294358381936901/15000000000000 z) 294358381936901/5000000000000) |
(-.f64 (+.f64 (*.f64 -294358381936901/45000000000000 (pow.f64 z 2)) (*.f64 294358381936901/15000000000000 z)) 294358381936901/5000000000000) |
(-.f64 (+.f64 (*.f64 -294358381936901/45000000000000 (pow.f64 z 2)) (+.f64 (*.f64 294358381936901/15000000000000 z) (*.f64 294358381936901/135000000000000 (pow.f64 z 3)))) 294358381936901/5000000000000) |
(/.f64 -883075145810703/5000000000000 z) |
(-.f64 (*.f64 2649225437432109/5000000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 883075145810703/5000000000000 (/.f64 1 z))) |
(-.f64 (*.f64 2649225437432109/5000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (*.f64 7947676312296327/5000000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 883075145810703/5000000000000 (/.f64 1 z)))) |
(-.f64 (+.f64 (*.f64 23843028936888981/5000000000000 (/.f64 1 (pow.f64 z 4))) (*.f64 2649225437432109/5000000000000 (/.f64 1 (pow.f64 z 2)))) (+.f64 (*.f64 7947676312296327/5000000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 883075145810703/5000000000000 (/.f64 1 z)))) |
(/.f64 -883075145810703/5000000000000 z) |
(-.f64 (*.f64 2649225437432109/5000000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 883075145810703/5000000000000 (/.f64 1 z))) |
(-.f64 (*.f64 2649225437432109/5000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (*.f64 7947676312296327/5000000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 883075145810703/5000000000000 (/.f64 1 z)))) |
(-.f64 (+.f64 (*.f64 23843028936888981/5000000000000 (/.f64 1 (pow.f64 z 4))) (*.f64 2649225437432109/5000000000000 (/.f64 1 (pow.f64 z 2)))) (+.f64 (*.f64 7947676312296327/5000000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 883075145810703/5000000000000 (/.f64 1 z)))) |
| Outputs |
|---|
(*.f64 -28755590378125365543517613/525000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (exp.f64 13/2)) (sqrt.f64 (PI.f64)))) |
(*.f64 -28755590378125365543517613/525000000000000000000000 (/.f64 (*.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (sqrt.f64 (PI.f64))) (exp.f64 13/2))) |
(*.f64 -28755590378125365543517613/525000000000000000000000 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64))) (/.f64 (exp.f64 13/2) (sqrt.f64 2/13)))) |
(*.f64 -28755590378125365543517613/525000000000000000000000 (*.f64 (/.f64 (sqrt.f64 2) (exp.f64 13/2)) (*.f64 (sqrt.f64 2/13) (sqrt.f64 (PI.f64))))) |
(/.f64 (*.f64 (*.f64 -28755590378125365543517613/525000000000000000000000 (sqrt.f64 2)) (sqrt.f64 (PI.f64))) (/.f64 (exp.f64 13/2) (sqrt.f64 2/13))) |
(+.f64 (*.f64 6493630508033571946468877/344531250000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 z (sqrt.f64 2/13))) (exp.f64 13/2)) (sqrt.f64 (PI.f64)))) (*.f64 -28755590378125365543517613/525000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (exp.f64 13/2)) (sqrt.f64 (PI.f64))))) |
(fma.f64 6493630508033571946468877/344531250000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 2) (/.f64 (exp.f64 13/2) (*.f64 (sqrt.f64 2/13) z)))) (*.f64 -28755590378125365543517613/525000000000000000000000 (/.f64 (*.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (sqrt.f64 (PI.f64))) (exp.f64 13/2)))) |
(*.f64 (sqrt.f64 (PI.f64)) (+.f64 (*.f64 6493630508033571946468877/344531250000000000000000 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 2/13) z)) (exp.f64 13/2))) (/.f64 (*.f64 -28755590378125365543517613/525000000000000000000000 (sqrt.f64 2)) (/.f64 (exp.f64 13/2) (sqrt.f64 2/13))))) |
(*.f64 (sqrt.f64 (PI.f64)) (fma.f64 -28755590378125365543517613/525000000000000000000000 (*.f64 (sqrt.f64 2/13) (/.f64 (sqrt.f64 2) (exp.f64 13/2))) (*.f64 6493630508033571946468877/344531250000000000000000 (*.f64 (*.f64 (sqrt.f64 2/13) z) (/.f64 (sqrt.f64 2) (exp.f64 13/2)))))) |
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (/.f64 (sqrt.f64 2) (exp.f64 13/2)) (+.f64 (*.f64 (sqrt.f64 2/13) -28755590378125365543517613/525000000000000000000000) (*.f64 (*.f64 (sqrt.f64 2/13) z) 6493630508033571946468877/344531250000000000000000)))) |
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(fma.f64 -4106156171094664089637421/25000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (/.f64 (sqrt.f64 2) (exp.f64 13/2)) (/.f64 (sqrt.f64 2/13) z))) (fma.f64 -34822042014175317801594529/25000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (/.f64 (sqrt.f64 2) (exp.f64 13/2)) (/.f64 (sqrt.f64 2/13) (pow.f64 z 3)))) (fma.f64 9999999999998099/10000000000000000 (/.f64 (*.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (sqrt.f64 (PI.f64))) (exp.f64 13/2)) (*.f64 12012712722196059946951247/25000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (/.f64 (sqrt.f64 2) (exp.f64 13/2)) (/.f64 (sqrt.f64 2/13) (*.f64 z z)))))))) |
(+.f64 (*.f64 (sqrt.f64 (PI.f64)) (+.f64 (*.f64 12012712722196059946951247/25000000000000000000000 (*.f64 (/.f64 (sqrt.f64 2) (exp.f64 13/2)) (/.f64 (sqrt.f64 2/13) (*.f64 z z)))) (/.f64 (*.f64 9999999999998099/10000000000000000 (sqrt.f64 2)) (/.f64 (exp.f64 13/2) (sqrt.f64 2/13))))) (*.f64 (sqrt.f64 (PI.f64)) (+.f64 (*.f64 -4106156171094664089637421/25000000000000000000000 (/.f64 (sqrt.f64 2) (/.f64 (exp.f64 13/2) (/.f64 (sqrt.f64 2/13) z)))) (*.f64 -34822042014175317801594529/25000000000000000000000 (*.f64 (/.f64 (sqrt.f64 2) (exp.f64 13/2)) (/.f64 (sqrt.f64 2/13) (pow.f64 z 3))))))) |
(*.f64 (sqrt.f64 (PI.f64)) (+.f64 (fma.f64 (*.f64 (sqrt.f64 2/13) (/.f64 (sqrt.f64 2) (exp.f64 13/2))) 9999999999998099/10000000000000000 (*.f64 12012712722196059946951247/25000000000000000000000 (*.f64 (/.f64 (sqrt.f64 2) z) (/.f64 (sqrt.f64 2/13) (*.f64 (exp.f64 13/2) z))))) (fma.f64 -4106156171094664089637421/25000000000000000000000 (*.f64 (sqrt.f64 2/13) (/.f64 (sqrt.f64 2) (*.f64 (exp.f64 13/2) z))) (*.f64 -34822042014175317801594529/25000000000000000000000 (/.f64 (*.f64 (sqrt.f64 2) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) (pow.f64 z 3)))))) |
(*.f64 (sqrt.f64 (PI.f64)) (+.f64 (*.f64 (*.f64 (sqrt.f64 2/13) (/.f64 (sqrt.f64 2) (exp.f64 13/2))) (+.f64 (/.f64 -4106156171094664089637421/25000000000000000000000 z) 9999999999998099/10000000000000000)) (*.f64 (*.f64 (/.f64 (sqrt.f64 2/13) z) (/.f64 (/.f64 (sqrt.f64 2) (exp.f64 13/2)) z)) (+.f64 12012712722196059946951247/25000000000000000000000 (/.f64 -34822042014175317801594529/25000000000000000000000 z))))) |
-294358381936901/5000000000000 |
(-.f64 (*.f64 294358381936901/15000000000000 z) 294358381936901/5000000000000) |
(fma.f64 294358381936901/15000000000000 z -294358381936901/5000000000000) |
(fma.f64 z 294358381936901/15000000000000 -294358381936901/5000000000000) |
(-.f64 (+.f64 (*.f64 -294358381936901/45000000000000 (pow.f64 z 2)) (*.f64 294358381936901/15000000000000 z)) 294358381936901/5000000000000) |
(+.f64 (*.f64 (*.f64 z z) -294358381936901/45000000000000) (fma.f64 294358381936901/15000000000000 z -294358381936901/5000000000000)) |
(fma.f64 (*.f64 z z) -294358381936901/45000000000000 (fma.f64 z 294358381936901/15000000000000 -294358381936901/5000000000000)) |
(fma.f64 z 294358381936901/15000000000000 (fma.f64 z (*.f64 z -294358381936901/45000000000000) -294358381936901/5000000000000)) |
(fma.f64 z (+.f64 294358381936901/15000000000000 (*.f64 z -294358381936901/45000000000000)) -294358381936901/5000000000000) |
(-.f64 (+.f64 (*.f64 -294358381936901/45000000000000 (pow.f64 z 2)) (+.f64 (*.f64 294358381936901/15000000000000 z) (*.f64 294358381936901/135000000000000 (pow.f64 z 3)))) 294358381936901/5000000000000) |
(+.f64 (fma.f64 -294358381936901/45000000000000 (*.f64 z z) (fma.f64 294358381936901/15000000000000 z (*.f64 (pow.f64 z 3) 294358381936901/135000000000000))) -294358381936901/5000000000000) |
(+.f64 (fma.f64 (*.f64 z z) -294358381936901/45000000000000 (fma.f64 z 294358381936901/15000000000000 (*.f64 (pow.f64 z 3) 294358381936901/135000000000000))) -294358381936901/5000000000000) |
(fma.f64 z (*.f64 z -294358381936901/45000000000000) (fma.f64 (pow.f64 z 3) 294358381936901/135000000000000 (fma.f64 z 294358381936901/15000000000000 -294358381936901/5000000000000))) |
(fma.f64 z (*.f64 z -294358381936901/45000000000000) (fma.f64 z 294358381936901/15000000000000 (fma.f64 (pow.f64 z 3) 294358381936901/135000000000000 -294358381936901/5000000000000))) |
(fma.f64 z (+.f64 294358381936901/15000000000000 (*.f64 z (+.f64 -294358381936901/45000000000000 (*.f64 z 294358381936901/135000000000000)))) -294358381936901/5000000000000) |
(/.f64 -883075145810703/5000000000000 z) |
(-.f64 (*.f64 2649225437432109/5000000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 883075145810703/5000000000000 (/.f64 1 z))) |
(-.f64 (/.f64 2649225437432109/5000000000000 (*.f64 z z)) (/.f64 883075145810703/5000000000000 z)) |
(+.f64 (/.f64 2649225437432109/5000000000000 (*.f64 z z)) (/.f64 -883075145810703/5000000000000 z)) |
(-.f64 (*.f64 2649225437432109/5000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (*.f64 7947676312296327/5000000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 883075145810703/5000000000000 (/.f64 1 z)))) |
(-.f64 (/.f64 2649225437432109/5000000000000 (*.f64 z z)) (+.f64 (/.f64 883075145810703/5000000000000 z) (/.f64 7947676312296327/5000000000000 (pow.f64 z 3)))) |
(+.f64 (/.f64 2649225437432109/5000000000000 (*.f64 z z)) (+.f64 (/.f64 -883075145810703/5000000000000 z) (/.f64 -7947676312296327/5000000000000 (pow.f64 z 3)))) |
(-.f64 (+.f64 (*.f64 23843028936888981/5000000000000 (/.f64 1 (pow.f64 z 4))) (*.f64 2649225437432109/5000000000000 (/.f64 1 (pow.f64 z 2)))) (+.f64 (*.f64 7947676312296327/5000000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 883075145810703/5000000000000 (/.f64 1 z)))) |
(+.f64 (/.f64 23843028936888981/5000000000000 (pow.f64 z 4)) (-.f64 (/.f64 2649225437432109/5000000000000 (*.f64 z z)) (+.f64 (/.f64 883075145810703/5000000000000 z) (/.f64 7947676312296327/5000000000000 (pow.f64 z 3))))) |
(+.f64 (-.f64 (/.f64 2649225437432109/5000000000000 (*.f64 z z)) (+.f64 (/.f64 883075145810703/5000000000000 z) (/.f64 7947676312296327/5000000000000 (pow.f64 z 3)))) (/.f64 23843028936888981/5000000000000 (pow.f64 z 4))) |
(+.f64 (+.f64 (/.f64 2649225437432109/5000000000000 (*.f64 z z)) (+.f64 (/.f64 -883075145810703/5000000000000 z) (/.f64 -7947676312296327/5000000000000 (pow.f64 z 3)))) (/.f64 23843028936888981/5000000000000 (pow.f64 z 4))) |
(+.f64 (/.f64 2649225437432109/5000000000000 (*.f64 z z)) (+.f64 (/.f64 23843028936888981/5000000000000 (pow.f64 z 4)) (+.f64 (/.f64 -883075145810703/5000000000000 z) (/.f64 -7947676312296327/5000000000000 (pow.f64 z 3))))) |
(/.f64 -883075145810703/5000000000000 z) |
(-.f64 (*.f64 2649225437432109/5000000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 883075145810703/5000000000000 (/.f64 1 z))) |
(-.f64 (/.f64 2649225437432109/5000000000000 (*.f64 z z)) (/.f64 883075145810703/5000000000000 z)) |
(+.f64 (/.f64 2649225437432109/5000000000000 (*.f64 z z)) (/.f64 -883075145810703/5000000000000 z)) |
(-.f64 (*.f64 2649225437432109/5000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (*.f64 7947676312296327/5000000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 883075145810703/5000000000000 (/.f64 1 z)))) |
(-.f64 (/.f64 2649225437432109/5000000000000 (*.f64 z z)) (+.f64 (/.f64 883075145810703/5000000000000 z) (/.f64 7947676312296327/5000000000000 (pow.f64 z 3)))) |
(+.f64 (/.f64 2649225437432109/5000000000000 (*.f64 z z)) (+.f64 (/.f64 -883075145810703/5000000000000 z) (/.f64 -7947676312296327/5000000000000 (pow.f64 z 3)))) |
(-.f64 (+.f64 (*.f64 23843028936888981/5000000000000 (/.f64 1 (pow.f64 z 4))) (*.f64 2649225437432109/5000000000000 (/.f64 1 (pow.f64 z 2)))) (+.f64 (*.f64 7947676312296327/5000000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 883075145810703/5000000000000 (/.f64 1 z)))) |
(+.f64 (/.f64 23843028936888981/5000000000000 (pow.f64 z 4)) (-.f64 (/.f64 2649225437432109/5000000000000 (*.f64 z z)) (+.f64 (/.f64 883075145810703/5000000000000 z) (/.f64 7947676312296327/5000000000000 (pow.f64 z 3))))) |
(+.f64 (-.f64 (/.f64 2649225437432109/5000000000000 (*.f64 z z)) (+.f64 (/.f64 883075145810703/5000000000000 z) (/.f64 7947676312296327/5000000000000 (pow.f64 z 3)))) (/.f64 23843028936888981/5000000000000 (pow.f64 z 4))) |
(+.f64 (+.f64 (/.f64 2649225437432109/5000000000000 (*.f64 z z)) (+.f64 (/.f64 -883075145810703/5000000000000 z) (/.f64 -7947676312296327/5000000000000 (pow.f64 z 3)))) (/.f64 23843028936888981/5000000000000 (pow.f64 z 4))) |
(+.f64 (/.f64 2649225437432109/5000000000000 (*.f64 z z)) (+.f64 (/.f64 23843028936888981/5000000000000 (pow.f64 z 4)) (+.f64 (/.f64 -883075145810703/5000000000000 z) (/.f64 -7947676312296327/5000000000000 (pow.f64 z 3))))) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.8b | (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) | |
| 1.0b | (sqrt.f64 (*.f64 (PI.f64) 2)) | |
| ✓ | 1.2b | (exp.f64 (-.f64 (neg.f64 z) 13/2)) |
| ✓ | 1.6b | (*.f64 (pow.f64 (+.f64 z 13/2) z) (*.f64 (pow.f64 (+.f64 z 13/2) -1/2) (exp.f64 (-.f64 (neg.f64 z) 13/2)))) |
Compiled 434 to 344 computations (20.7% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 8.0ms | z | @ | 0 | (*.f64 (pow.f64 (+.f64 z 13/2) z) (*.f64 (pow.f64 (+.f64 z 13/2) -1/2) (exp.f64 (-.f64 (neg.f64 z) 13/2)))) |
| 5.0ms | z | @ | -inf | (*.f64 (pow.f64 (+.f64 z 13/2) z) (*.f64 (pow.f64 (+.f64 z 13/2) -1/2) (exp.f64 (-.f64 (neg.f64 z) 13/2)))) |
| 3.0ms | z | @ | inf | (*.f64 (pow.f64 (+.f64 z 13/2) z) (*.f64 (pow.f64 (+.f64 z 13/2) -1/2) (exp.f64 (-.f64 (neg.f64 z) 13/2)))) |
| 1.0ms | z | @ | 0 | (exp.f64 (-.f64 (neg.f64 z) 13/2)) |
| 0.0ms | z | @ | inf | (exp.f64 (-.f64 (neg.f64 z) 13/2)) |
| 1× | batch-egg-rewrite |
| 567× | log-prod_binary64 |
| 391× | pow-prod-down_binary64 |
| 329× | pow-unpow_binary64 |
| 309× | pow2_binary64 |
| 229× | pow-pow_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 34 |
| 1 | 275 | 24 |
| 2 | 3666 | 24 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (pow.f64 (+.f64 z 13/2) z) (*.f64 (pow.f64 (+.f64 z 13/2) -1/2) (exp.f64 (-.f64 (neg.f64 z) 13/2)))) |
(exp.f64 (-.f64 (neg.f64 z) 13/2)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (exp.f64 (+.f64 z -13/2)) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (exp.f64 (+.f64 z -13/2))) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (exp.f64 (+.f64 z -13/2))) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (exp.f64 (+.f64 z -13/2))) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (exp.f64 (+.f64 z -13/2))) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (exp.f64 (+.f64 z -13/2)) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 z)) (exp.f64 13/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (exp.f64 (+.f64 z -13/2)) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (exp.f64 (+.f64 z -13/2)) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (exp.f64 (+.f64 z -13/2)) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (exp.f64 (+.f64 z -13/2)) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (exp.f64 (+.f64 z -13/2)) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (exp.f64 (+.f64 z -13/2)) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (exp.f64 (+.f64 z -13/2))) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (exp.f64 (+.f64 z -13/2)) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (exp.f64 (+.f64 z -13/2)) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (exp.f64 (+.f64 z -13/2)) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (exp.f64 (+.f64 z -13/2)) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (+.f64 z -13/2) (*.f64 (+.f64 z -1/2) (log.f64 (+.f64 z 13/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (+.f64 (+.f64 z -13/2) (*.f64 (+.f64 z -1/2) (log.f64 (+.f64 z 13/2)))) 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (exp.f64 (+.f64 z -13/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (exp.f64 (+.f64 z -13/2)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (exp.f64 (+.f64 z -13/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (exp.f64 (+.f64 z -13/2))))) (log.f64 (sqrt.f64 (exp.f64 (exp.f64 (+.f64 z -13/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (exp.f64 (+.f64 z -13/2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 (+.f64 z -13/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (exp.f64 (+.f64 z -13/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 z) (exp.f64 -13/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 z) (/.f64 1 (exp.f64 13/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 z) (pow.f64 (exp.f64 1) -13/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (exp.f64 (+.f64 z -13/2))) (cbrt.f64 (exp.f64 (*.f64 2 (+.f64 z -13/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (exp.f64 (*.f64 2 (+.f64 z -13/2)))) (cbrt.f64 (exp.f64 (+.f64 z -13/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (exp.f64 (+.f64 z -13/2))) (sqrt.f64 (exp.f64 (+.f64 z -13/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (exp.f64 1) -13/2) (exp.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (exp.f64 1) (*.f64 2 (*.f64 1/3 (+.f64 z -13/2)))) (pow.f64 (exp.f64 1) (*.f64 1/3 (+.f64 z -13/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (exp.f64 1) (*.f64 1/2 (+.f64 z -13/2))) (pow.f64 (exp.f64 1) (*.f64 1/2 (+.f64 z -13/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (exp.f64 (+.f64 z 13/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (exp.f64 13/2) (exp.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (exp.f64 z) (exp.f64 13/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (exp.f64 z) (pow.f64 (exp.f64 1) 13/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (exp.f64 z)) (neg.f64 (exp.f64 13/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (exp.f64 1) (exp.f64 (log1p.f64 (+.f64 z -13/2)))) (pow.f64 (exp.f64 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (exp.f64 1) (/.f64 (pow.f64 z 3) (fma.f64 z z (fma.f64 z 13/2 169/4)))) (pow.f64 (exp.f64 1) (/.f64 2197/8 (fma.f64 z z (fma.f64 z 13/2 169/4)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (exp.f64 1) (/.f64 (*.f64 z z) (+.f64 z 13/2))) (pow.f64 (exp.f64 1) (/.f64 169/4 (+.f64 z 13/2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (+.f64 z -13/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (*.f64 2 (+.f64 z -13/2))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (+.f64 z -13/2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (exp.f64 (+.f64 z -13/2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (exp.f64 (+.f64 z -13/2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (+.f64 z -13/2))) (sqrt.f64 (+.f64 z -13/2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (+.f64 z -13/2))) (*.f64 (sqrt.f64 (+.f64 z -13/2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (+.f64 z -13/2)) 2)) (cbrt.f64 (+.f64 z -13/2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (+.f64 z -13/2)) 2)) (*.f64 (cbrt.f64 (+.f64 z -13/2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (+.f64 z -13/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (exp.f64 13/2) (exp.f64 z)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (+.f64 z -13/2))) 1) (sqrt.f64 (+.f64 z -13/2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (+.f64 z -13/2))) (cbrt.f64 (+.f64 z -13/2))) (cbrt.f64 (sqrt.f64 (+.f64 z -13/2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (+.f64 z -13/2))) (sqrt.f64 (sqrt.f64 (+.f64 z -13/2)))) (sqrt.f64 (sqrt.f64 (+.f64 z -13/2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (+.f64 z -13/2))) (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 z -13/2)) 2))) (sqrt.f64 (cbrt.f64 (+.f64 z -13/2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (+.f64 z -13/2)) 2)) 1) (cbrt.f64 (+.f64 z -13/2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (+.f64 z -13/2)) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 z -13/2))) 2)) (cbrt.f64 (cbrt.f64 (+.f64 z -13/2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (+.f64 z -13/2)) 2)) (cbrt.f64 (sqrt.f64 (+.f64 z -13/2)))) (cbrt.f64 (sqrt.f64 (+.f64 z -13/2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (+.f64 z -13/2)) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 z -13/2)) 2))) (cbrt.f64 (cbrt.f64 (+.f64 z -13/2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (+.f64 z -13/2)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 z -13/2)))) (sqrt.f64 (cbrt.f64 (+.f64 z -13/2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 1) 1) (+.f64 z -13/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 1) (cbrt.f64 (+.f64 z -13/2))) (pow.f64 (cbrt.f64 (+.f64 z -13/2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 1) (pow.f64 (cbrt.f64 (+.f64 z -13/2)) 2)) (cbrt.f64 (+.f64 z -13/2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 1) (sqrt.f64 (+.f64 z -13/2))) (sqrt.f64 (+.f64 z -13/2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 1) (+.f64 (pow.f64 z 3) -2197/8)) (/.f64 1 (fma.f64 z z (fma.f64 z 13/2 169/4))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 1) (fma.f64 z z -169/4)) (/.f64 1 (+.f64 z 13/2)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (exp.f64 (*.f64 2 (+.f64 z -13/2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (exp.f64 (+.f64 z -13/2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (exp.f64 (+.f64 z -13/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (exp.f64 (+.f64 z -13/2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (exp.f64 (+.f64 z -13/2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (exp.f64 (+.f64 z -13/2)))))))) |
| 1× | egg-herbie |
| 574× | fma-def_binary64 |
| 322× | distribute-rgt-out_binary64 |
| 309× | distribute-lft-out_binary64 |
| 292× | times-frac_binary64 |
| 287× | associate-+l+_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 99 | 642 |
| 1 | 299 | 581 |
| 2 | 1020 | 526 |
| 3 | 5094 | 467 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (sqrt.f64 2/13) (exp.f64 -13/2)) |
(+.f64 (*.f64 z (+.f64 (*.f64 (+.f64 (*.f64 -1 (exp.f64 -13/2)) (*.f64 (exp.f64 -13/2) (log.f64 13/2))) (sqrt.f64 2/13)) (*.f64 -2/169 (/.f64 (exp.f64 -13/2) (sqrt.f64 2/13))))) (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) |
(+.f64 (*.f64 z (+.f64 (*.f64 (+.f64 (*.f64 -1 (exp.f64 -13/2)) (*.f64 (exp.f64 -13/2) (log.f64 13/2))) (sqrt.f64 2/13)) (*.f64 -2/169 (/.f64 (exp.f64 -13/2) (sqrt.f64 2/13))))) (+.f64 (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2)) (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 1/2 (exp.f64 -13/2)) (+.f64 (*.f64 -1 (*.f64 (exp.f64 -13/2) (log.f64 13/2))) (*.f64 (+.f64 2/13 (*.f64 1/2 (pow.f64 (log.f64 13/2) 2))) (exp.f64 -13/2)))) (sqrt.f64 2/13)) (+.f64 (*.f64 -2/169 (/.f64 (+.f64 (*.f64 -1 (exp.f64 -13/2)) (*.f64 (exp.f64 -13/2) (log.f64 13/2))) (sqrt.f64 2/13))) (*.f64 1/2 (/.f64 (*.f64 (-.f64 8/2197 (pow.f64 (/.f64 -2/169 (sqrt.f64 2/13)) 2)) (exp.f64 -13/2)) (sqrt.f64 2/13))))) (pow.f64 z 2)))) |
(+.f64 (*.f64 z (+.f64 (*.f64 (+.f64 (*.f64 -1 (exp.f64 -13/2)) (*.f64 (exp.f64 -13/2) (log.f64 13/2))) (sqrt.f64 2/13)) (*.f64 -2/169 (/.f64 (exp.f64 -13/2) (sqrt.f64 2/13))))) (+.f64 (*.f64 (pow.f64 z 3) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (+.f64 16/28561 (*.f64 -2/169 (/.f64 (-.f64 8/2197 (pow.f64 (/.f64 -2/169 (sqrt.f64 2/13)) 2)) (pow.f64 (sqrt.f64 2/13) 2)))) (exp.f64 -13/2)) (sqrt.f64 2/13))) (+.f64 (*.f64 -2/169 (/.f64 (+.f64 (*.f64 1/2 (exp.f64 -13/2)) (+.f64 (*.f64 -1 (*.f64 (exp.f64 -13/2) (log.f64 13/2))) (*.f64 (+.f64 2/13 (*.f64 1/2 (pow.f64 (log.f64 13/2) 2))) (exp.f64 -13/2)))) (sqrt.f64 2/13))) (+.f64 (*.f64 (sqrt.f64 2/13) (+.f64 (*.f64 (-.f64 (+.f64 (*.f64 1/6 (pow.f64 (log.f64 13/2) 3)) (*.f64 2/13 (log.f64 13/2))) 2/169) (exp.f64 -13/2)) (+.f64 (*.f64 -1/6 (exp.f64 -13/2)) (+.f64 (*.f64 -1 (*.f64 (+.f64 2/13 (*.f64 1/2 (pow.f64 (log.f64 13/2) 2))) (exp.f64 -13/2))) (*.f64 1/2 (*.f64 (exp.f64 -13/2) (log.f64 13/2))))))) (*.f64 1/2 (/.f64 (*.f64 (+.f64 (*.f64 -1 (exp.f64 -13/2)) (*.f64 (exp.f64 -13/2) (log.f64 13/2))) (-.f64 8/2197 (pow.f64 (/.f64 -2/169 (sqrt.f64 2/13)) 2))) (sqrt.f64 2/13))))))) (+.f64 (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2)) (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 1/2 (exp.f64 -13/2)) (+.f64 (*.f64 -1 (*.f64 (exp.f64 -13/2) (log.f64 13/2))) (*.f64 (+.f64 2/13 (*.f64 1/2 (pow.f64 (log.f64 13/2) 2))) (exp.f64 -13/2)))) (sqrt.f64 2/13)) (+.f64 (*.f64 -2/169 (/.f64 (+.f64 (*.f64 -1 (exp.f64 -13/2)) (*.f64 (exp.f64 -13/2) (log.f64 13/2))) (sqrt.f64 2/13))) (*.f64 1/2 (/.f64 (*.f64 (-.f64 8/2197 (pow.f64 (/.f64 -2/169 (sqrt.f64 2/13)) 2)) (exp.f64 -13/2)) (sqrt.f64 2/13))))) (pow.f64 z 2))))) |
(exp.f64 -13/2) |
(+.f64 (*.f64 -1 (*.f64 z (exp.f64 -13/2))) (exp.f64 -13/2)) |
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 z 2) (exp.f64 -13/2))) (+.f64 (*.f64 -1 (*.f64 z (exp.f64 -13/2))) (exp.f64 -13/2))) |
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 z 3) (exp.f64 -13/2))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 z 2) (exp.f64 -13/2))) (+.f64 (*.f64 -1 (*.f64 z (exp.f64 -13/2))) (exp.f64 -13/2)))) |
(exp.f64 (neg.f64 (+.f64 13/2 z))) |
(exp.f64 (neg.f64 (+.f64 13/2 z))) |
(exp.f64 (neg.f64 (+.f64 13/2 z))) |
(exp.f64 (neg.f64 (+.f64 13/2 z))) |
(exp.f64 (-.f64 (*.f64 -1 z) 13/2)) |
(exp.f64 (-.f64 (*.f64 -1 z) 13/2)) |
(exp.f64 (-.f64 (*.f64 -1 z) 13/2)) |
(exp.f64 (-.f64 (*.f64 -1 z) 13/2)) |
| Outputs |
|---|
(*.f64 (sqrt.f64 2/13) (exp.f64 -13/2)) |
(+.f64 (*.f64 z (+.f64 (*.f64 (+.f64 (*.f64 -1 (exp.f64 -13/2)) (*.f64 (exp.f64 -13/2) (log.f64 13/2))) (sqrt.f64 2/13)) (*.f64 -2/169 (/.f64 (exp.f64 -13/2) (sqrt.f64 2/13))))) (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) |
(fma.f64 z (fma.f64 (fma.f64 -1 (exp.f64 -13/2) (*.f64 (exp.f64 -13/2) (log.f64 13/2))) (sqrt.f64 2/13) (*.f64 -2/169 (/.f64 (exp.f64 -13/2) (sqrt.f64 2/13)))) (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) |
(fma.f64 (sqrt.f64 2/13) (exp.f64 -13/2) (*.f64 z (fma.f64 (sqrt.f64 2/13) (*.f64 (exp.f64 -13/2) (+.f64 -1 (log.f64 13/2))) (*.f64 -2/169 (/.f64 (exp.f64 -13/2) (sqrt.f64 2/13)))))) |
(fma.f64 z (fma.f64 (sqrt.f64 2/13) (*.f64 (exp.f64 -13/2) (+.f64 -1 (log.f64 13/2))) (*.f64 -2/169 (/.f64 (exp.f64 -13/2) (sqrt.f64 2/13)))) (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) |
(+.f64 (*.f64 z (+.f64 (*.f64 (+.f64 (*.f64 -1 (exp.f64 -13/2)) (*.f64 (exp.f64 -13/2) (log.f64 13/2))) (sqrt.f64 2/13)) (*.f64 -2/169 (/.f64 (exp.f64 -13/2) (sqrt.f64 2/13))))) (+.f64 (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2)) (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 1/2 (exp.f64 -13/2)) (+.f64 (*.f64 -1 (*.f64 (exp.f64 -13/2) (log.f64 13/2))) (*.f64 (+.f64 2/13 (*.f64 1/2 (pow.f64 (log.f64 13/2) 2))) (exp.f64 -13/2)))) (sqrt.f64 2/13)) (+.f64 (*.f64 -2/169 (/.f64 (+.f64 (*.f64 -1 (exp.f64 -13/2)) (*.f64 (exp.f64 -13/2) (log.f64 13/2))) (sqrt.f64 2/13))) (*.f64 1/2 (/.f64 (*.f64 (-.f64 8/2197 (pow.f64 (/.f64 -2/169 (sqrt.f64 2/13)) 2)) (exp.f64 -13/2)) (sqrt.f64 2/13))))) (pow.f64 z 2)))) |
(fma.f64 z (fma.f64 (fma.f64 -1 (exp.f64 -13/2) (*.f64 (exp.f64 -13/2) (log.f64 13/2))) (sqrt.f64 2/13) (*.f64 -2/169 (/.f64 (exp.f64 -13/2) (sqrt.f64 2/13)))) (fma.f64 (sqrt.f64 2/13) (exp.f64 -13/2) (*.f64 (fma.f64 (fma.f64 1/2 (exp.f64 -13/2) (fma.f64 -1 (*.f64 (exp.f64 -13/2) (log.f64 13/2)) (*.f64 (exp.f64 -13/2) (+.f64 2/13 (*.f64 1/2 (pow.f64 (log.f64 13/2) 2)))))) (sqrt.f64 2/13) (fma.f64 -2/169 (/.f64 (fma.f64 -1 (exp.f64 -13/2) (*.f64 (exp.f64 -13/2) (log.f64 13/2))) (sqrt.f64 2/13)) (*.f64 1/2 (/.f64 (-.f64 8/2197 (pow.f64 (/.f64 -2/169 (sqrt.f64 2/13)) 2)) (/.f64 (sqrt.f64 2/13) (exp.f64 -13/2)))))) (*.f64 z z)))) |
(fma.f64 z (fma.f64 (sqrt.f64 2/13) (*.f64 (exp.f64 -13/2) (+.f64 -1 (log.f64 13/2))) (*.f64 -2/169 (/.f64 (exp.f64 -13/2) (sqrt.f64 2/13)))) (fma.f64 (sqrt.f64 2/13) (exp.f64 -13/2) (*.f64 (fma.f64 (sqrt.f64 2/13) (fma.f64 (exp.f64 -13/2) 1/2 (-.f64 (*.f64 (exp.f64 -13/2) (fma.f64 1/2 (pow.f64 (log.f64 13/2) 2) 2/13)) (*.f64 (exp.f64 -13/2) (log.f64 13/2)))) (fma.f64 -2/169 (/.f64 (*.f64 (exp.f64 -13/2) (+.f64 -1 (log.f64 13/2))) (sqrt.f64 2/13)) (*.f64 1/2 (*.f64 (/.f64 (-.f64 8/2197 (pow.f64 (/.f64 -2/169 (sqrt.f64 2/13)) 2)) (sqrt.f64 2/13)) (exp.f64 -13/2))))) (*.f64 z z)))) |
(fma.f64 (sqrt.f64 2/13) (exp.f64 -13/2) (*.f64 z (+.f64 (*.f64 z (fma.f64 (sqrt.f64 2/13) (fma.f64 (exp.f64 -13/2) 1/2 (*.f64 (exp.f64 -13/2) (-.f64 (fma.f64 1/2 (pow.f64 (log.f64 13/2) 2) 2/13) (log.f64 13/2)))) (fma.f64 -2/169 (/.f64 (exp.f64 -13/2) (/.f64 (sqrt.f64 2/13) (+.f64 -1 (log.f64 13/2)))) (*.f64 1/2 (*.f64 (/.f64 (exp.f64 -13/2) (sqrt.f64 2/13)) (-.f64 8/2197 (pow.f64 (/.f64 -2/169 (sqrt.f64 2/13)) 2))))))) (fma.f64 (sqrt.f64 2/13) (*.f64 (exp.f64 -13/2) (+.f64 -1 (log.f64 13/2))) (*.f64 -2/169 (/.f64 (exp.f64 -13/2) (sqrt.f64 2/13))))))) |
(fma.f64 (sqrt.f64 2/13) (exp.f64 -13/2) (*.f64 z (+.f64 (*.f64 z (fma.f64 (sqrt.f64 2/13) (*.f64 (exp.f64 -13/2) (-.f64 (+.f64 1/2 (fma.f64 1/2 (pow.f64 (log.f64 13/2) 2) 2/13)) (log.f64 13/2))) (fma.f64 -2/169 (*.f64 (/.f64 (exp.f64 -13/2) (sqrt.f64 2/13)) (+.f64 -1 (log.f64 13/2))) (*.f64 (/.f64 3/2197 (sqrt.f64 2/13)) (exp.f64 -13/2))))) (fma.f64 (sqrt.f64 2/13) (*.f64 (exp.f64 -13/2) (+.f64 -1 (log.f64 13/2))) (*.f64 -2/169 (/.f64 (exp.f64 -13/2) (sqrt.f64 2/13))))))) |
(+.f64 (*.f64 z (+.f64 (*.f64 (+.f64 (*.f64 -1 (exp.f64 -13/2)) (*.f64 (exp.f64 -13/2) (log.f64 13/2))) (sqrt.f64 2/13)) (*.f64 -2/169 (/.f64 (exp.f64 -13/2) (sqrt.f64 2/13))))) (+.f64 (*.f64 (pow.f64 z 3) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (+.f64 16/28561 (*.f64 -2/169 (/.f64 (-.f64 8/2197 (pow.f64 (/.f64 -2/169 (sqrt.f64 2/13)) 2)) (pow.f64 (sqrt.f64 2/13) 2)))) (exp.f64 -13/2)) (sqrt.f64 2/13))) (+.f64 (*.f64 -2/169 (/.f64 (+.f64 (*.f64 1/2 (exp.f64 -13/2)) (+.f64 (*.f64 -1 (*.f64 (exp.f64 -13/2) (log.f64 13/2))) (*.f64 (+.f64 2/13 (*.f64 1/2 (pow.f64 (log.f64 13/2) 2))) (exp.f64 -13/2)))) (sqrt.f64 2/13))) (+.f64 (*.f64 (sqrt.f64 2/13) (+.f64 (*.f64 (-.f64 (+.f64 (*.f64 1/6 (pow.f64 (log.f64 13/2) 3)) (*.f64 2/13 (log.f64 13/2))) 2/169) (exp.f64 -13/2)) (+.f64 (*.f64 -1/6 (exp.f64 -13/2)) (+.f64 (*.f64 -1 (*.f64 (+.f64 2/13 (*.f64 1/2 (pow.f64 (log.f64 13/2) 2))) (exp.f64 -13/2))) (*.f64 1/2 (*.f64 (exp.f64 -13/2) (log.f64 13/2))))))) (*.f64 1/2 (/.f64 (*.f64 (+.f64 (*.f64 -1 (exp.f64 -13/2)) (*.f64 (exp.f64 -13/2) (log.f64 13/2))) (-.f64 8/2197 (pow.f64 (/.f64 -2/169 (sqrt.f64 2/13)) 2))) (sqrt.f64 2/13))))))) (+.f64 (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2)) (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 1/2 (exp.f64 -13/2)) (+.f64 (*.f64 -1 (*.f64 (exp.f64 -13/2) (log.f64 13/2))) (*.f64 (+.f64 2/13 (*.f64 1/2 (pow.f64 (log.f64 13/2) 2))) (exp.f64 -13/2)))) (sqrt.f64 2/13)) (+.f64 (*.f64 -2/169 (/.f64 (+.f64 (*.f64 -1 (exp.f64 -13/2)) (*.f64 (exp.f64 -13/2) (log.f64 13/2))) (sqrt.f64 2/13))) (*.f64 1/2 (/.f64 (*.f64 (-.f64 8/2197 (pow.f64 (/.f64 -2/169 (sqrt.f64 2/13)) 2)) (exp.f64 -13/2)) (sqrt.f64 2/13))))) (pow.f64 z 2))))) |
(fma.f64 z (fma.f64 (fma.f64 -1 (exp.f64 -13/2) (*.f64 (exp.f64 -13/2) (log.f64 13/2))) (sqrt.f64 2/13) (*.f64 -2/169 (/.f64 (exp.f64 -13/2) (sqrt.f64 2/13)))) (fma.f64 (pow.f64 z 3) (fma.f64 -1/2 (/.f64 (+.f64 16/28561 (*.f64 -2/169 (/.f64 (-.f64 8/2197 (pow.f64 (/.f64 -2/169 (sqrt.f64 2/13)) 2)) (pow.f64 (sqrt.f64 2/13) 2)))) (/.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (fma.f64 -2/169 (/.f64 (fma.f64 1/2 (exp.f64 -13/2) (fma.f64 -1 (*.f64 (exp.f64 -13/2) (log.f64 13/2)) (*.f64 (exp.f64 -13/2) (+.f64 2/13 (*.f64 1/2 (pow.f64 (log.f64 13/2) 2)))))) (sqrt.f64 2/13)) (fma.f64 (sqrt.f64 2/13) (fma.f64 (+.f64 (fma.f64 1/6 (pow.f64 (log.f64 13/2) 3) (*.f64 2/13 (log.f64 13/2))) -2/169) (exp.f64 -13/2) (fma.f64 -1/6 (exp.f64 -13/2) (fma.f64 -1 (*.f64 (exp.f64 -13/2) (+.f64 2/13 (*.f64 1/2 (pow.f64 (log.f64 13/2) 2)))) (*.f64 (*.f64 (exp.f64 -13/2) (log.f64 13/2)) 1/2)))) (/.f64 (*.f64 1/2 (*.f64 (fma.f64 -1 (exp.f64 -13/2) (*.f64 (exp.f64 -13/2) (log.f64 13/2))) (-.f64 8/2197 (pow.f64 (/.f64 -2/169 (sqrt.f64 2/13)) 2)))) (sqrt.f64 2/13))))) (fma.f64 (sqrt.f64 2/13) (exp.f64 -13/2) (*.f64 (fma.f64 (fma.f64 1/2 (exp.f64 -13/2) (fma.f64 -1 (*.f64 (exp.f64 -13/2) (log.f64 13/2)) (*.f64 (exp.f64 -13/2) (+.f64 2/13 (*.f64 1/2 (pow.f64 (log.f64 13/2) 2)))))) (sqrt.f64 2/13) (fma.f64 -2/169 (/.f64 (fma.f64 -1 (exp.f64 -13/2) (*.f64 (exp.f64 -13/2) (log.f64 13/2))) (sqrt.f64 2/13)) (*.f64 1/2 (/.f64 (-.f64 8/2197 (pow.f64 (/.f64 -2/169 (sqrt.f64 2/13)) 2)) (/.f64 (sqrt.f64 2/13) (exp.f64 -13/2)))))) (*.f64 z z))))) |
(fma.f64 z (fma.f64 (sqrt.f64 2/13) (*.f64 (exp.f64 -13/2) (+.f64 -1 (log.f64 13/2))) (*.f64 -2/169 (/.f64 (exp.f64 -13/2) (sqrt.f64 2/13)))) (fma.f64 (pow.f64 z 3) (fma.f64 -1/2 (/.f64 (exp.f64 -13/2) (/.f64 (sqrt.f64 2/13) (fma.f64 -2/169 (/.f64 (-.f64 8/2197 (pow.f64 (/.f64 -2/169 (sqrt.f64 2/13)) 2)) 2/13) 16/28561))) (fma.f64 -2/169 (/.f64 (fma.f64 (exp.f64 -13/2) 1/2 (-.f64 (*.f64 (exp.f64 -13/2) (fma.f64 1/2 (pow.f64 (log.f64 13/2) 2) 2/13)) (*.f64 (exp.f64 -13/2) (log.f64 13/2)))) (sqrt.f64 2/13)) (fma.f64 (sqrt.f64 2/13) (+.f64 (-.f64 (*.f64 (exp.f64 -13/2) (*.f64 (log.f64 13/2) 1/2)) (*.f64 (exp.f64 -13/2) (fma.f64 1/2 (pow.f64 (log.f64 13/2) 2) 2/13))) (*.f64 (exp.f64 -13/2) (+.f64 (fma.f64 1/6 (pow.f64 (log.f64 13/2) 3) (fma.f64 2/13 (log.f64 13/2) -2/169)) -1/6))) (*.f64 1/2 (*.f64 (/.f64 (*.f64 (exp.f64 -13/2) (+.f64 -1 (log.f64 13/2))) (sqrt.f64 2/13)) (-.f64 8/2197 (pow.f64 (/.f64 -2/169 (sqrt.f64 2/13)) 2))))))) (fma.f64 (sqrt.f64 2/13) (exp.f64 -13/2) (*.f64 (fma.f64 (sqrt.f64 2/13) (fma.f64 (exp.f64 -13/2) 1/2 (-.f64 (*.f64 (exp.f64 -13/2) (fma.f64 1/2 (pow.f64 (log.f64 13/2) 2) 2/13)) (*.f64 (exp.f64 -13/2) (log.f64 13/2)))) (fma.f64 -2/169 (/.f64 (*.f64 (exp.f64 -13/2) (+.f64 -1 (log.f64 13/2))) (sqrt.f64 2/13)) (*.f64 1/2 (*.f64 (/.f64 (-.f64 8/2197 (pow.f64 (/.f64 -2/169 (sqrt.f64 2/13)) 2)) (sqrt.f64 2/13)) (exp.f64 -13/2))))) (*.f64 z z))))) |
(fma.f64 (pow.f64 z 3) (+.f64 (*.f64 (/.f64 -5/28561 (sqrt.f64 2/13)) (exp.f64 -13/2)) (fma.f64 (sqrt.f64 2/13) (fma.f64 (exp.f64 -13/2) (fma.f64 2/13 (log.f64 13/2) (fma.f64 1/6 (pow.f64 (log.f64 13/2) 3) -2/169)) (*.f64 (exp.f64 -13/2) (+.f64 (*.f64 (log.f64 13/2) 1/2) (+.f64 -25/78 (*.f64 (pow.f64 (log.f64 13/2) 2) -1/2))))) (fma.f64 -2/169 (/.f64 (fma.f64 (exp.f64 -13/2) 1/2 (*.f64 (exp.f64 -13/2) (-.f64 (fma.f64 1/2 (pow.f64 (log.f64 13/2) 2) 2/13) (log.f64 13/2)))) (sqrt.f64 2/13)) (*.f64 1/2 (*.f64 (/.f64 (exp.f64 -13/2) (/.f64 (sqrt.f64 2/13) (+.f64 -1 (log.f64 13/2)))) (-.f64 8/2197 (pow.f64 (/.f64 -2/169 (sqrt.f64 2/13)) 2))))))) (fma.f64 (sqrt.f64 2/13) (exp.f64 -13/2) (*.f64 z (+.f64 (*.f64 z (fma.f64 (sqrt.f64 2/13) (fma.f64 (exp.f64 -13/2) 1/2 (*.f64 (exp.f64 -13/2) (-.f64 (fma.f64 1/2 (pow.f64 (log.f64 13/2) 2) 2/13) (log.f64 13/2)))) (fma.f64 -2/169 (/.f64 (exp.f64 -13/2) (/.f64 (sqrt.f64 2/13) (+.f64 -1 (log.f64 13/2)))) (*.f64 1/2 (*.f64 (/.f64 (exp.f64 -13/2) (sqrt.f64 2/13)) (-.f64 8/2197 (pow.f64 (/.f64 -2/169 (sqrt.f64 2/13)) 2))))))) (fma.f64 (sqrt.f64 2/13) (*.f64 (exp.f64 -13/2) (+.f64 -1 (log.f64 13/2))) (*.f64 -2/169 (/.f64 (exp.f64 -13/2) (sqrt.f64 2/13)))))))) |
(fma.f64 (pow.f64 z 3) (+.f64 (/.f64 -5/28561 (/.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (fma.f64 (sqrt.f64 2/13) (*.f64 (exp.f64 -13/2) (+.f64 (*.f64 (log.f64 13/2) 1/2) (+.f64 (fma.f64 2/13 (log.f64 13/2) (fma.f64 1/6 (pow.f64 (log.f64 13/2) 3) -2/169)) (+.f64 -25/78 (*.f64 (pow.f64 (log.f64 13/2) 2) -1/2))))) (fma.f64 -2/169 (/.f64 (*.f64 (exp.f64 -13/2) (-.f64 (+.f64 1/2 (fma.f64 1/2 (pow.f64 (log.f64 13/2) 2) 2/13)) (log.f64 13/2))) (sqrt.f64 2/13)) (*.f64 (*.f64 (/.f64 (exp.f64 -13/2) (sqrt.f64 2/13)) (+.f64 -1 (log.f64 13/2))) 3/2197)))) (fma.f64 (sqrt.f64 2/13) (exp.f64 -13/2) (*.f64 z (+.f64 (*.f64 z (fma.f64 (sqrt.f64 2/13) (*.f64 (exp.f64 -13/2) (-.f64 (+.f64 1/2 (fma.f64 1/2 (pow.f64 (log.f64 13/2) 2) 2/13)) (log.f64 13/2))) (fma.f64 -2/169 (*.f64 (/.f64 (exp.f64 -13/2) (sqrt.f64 2/13)) (+.f64 -1 (log.f64 13/2))) (*.f64 (/.f64 3/2197 (sqrt.f64 2/13)) (exp.f64 -13/2))))) (fma.f64 (sqrt.f64 2/13) (*.f64 (exp.f64 -13/2) (+.f64 -1 (log.f64 13/2))) (*.f64 -2/169 (/.f64 (exp.f64 -13/2) (sqrt.f64 2/13)))))))) |
(exp.f64 -13/2) |
(+.f64 (*.f64 -1 (*.f64 z (exp.f64 -13/2))) (exp.f64 -13/2)) |
(fma.f64 -1 (*.f64 (exp.f64 -13/2) z) (exp.f64 -13/2)) |
(-.f64 (exp.f64 -13/2) (*.f64 (exp.f64 -13/2) z)) |
(*.f64 (exp.f64 -13/2) (fma.f64 z -1 1)) |
(*.f64 (exp.f64 -13/2) (-.f64 1 z)) |
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 z 2) (exp.f64 -13/2))) (+.f64 (*.f64 -1 (*.f64 z (exp.f64 -13/2))) (exp.f64 -13/2))) |
(fma.f64 1/2 (*.f64 (exp.f64 -13/2) (*.f64 z z)) (fma.f64 -1 (*.f64 (exp.f64 -13/2) z) (exp.f64 -13/2))) |
(+.f64 (exp.f64 -13/2) (*.f64 (exp.f64 -13/2) (+.f64 (*.f64 1/2 (*.f64 z z)) (neg.f64 z)))) |
(fma.f64 (exp.f64 -13/2) (fma.f64 1/2 (*.f64 z z) (neg.f64 z)) (exp.f64 -13/2)) |
(*.f64 (exp.f64 -13/2) (-.f64 (+.f64 (*.f64 z (*.f64 z 1/2)) 1) z)) |
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 z 3) (exp.f64 -13/2))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 z 2) (exp.f64 -13/2))) (+.f64 (*.f64 -1 (*.f64 z (exp.f64 -13/2))) (exp.f64 -13/2)))) |
(fma.f64 -1/6 (*.f64 (exp.f64 -13/2) (pow.f64 z 3)) (fma.f64 1/2 (*.f64 (exp.f64 -13/2) (*.f64 z z)) (fma.f64 -1 (*.f64 (exp.f64 -13/2) z) (exp.f64 -13/2)))) |
(+.f64 (-.f64 (exp.f64 -13/2) (*.f64 (exp.f64 -13/2) z)) (*.f64 (exp.f64 -13/2) (+.f64 (*.f64 (pow.f64 z 3) -1/6) (*.f64 1/2 (*.f64 z z))))) |
(fma.f64 (exp.f64 -13/2) (*.f64 (*.f64 z z) (+.f64 (*.f64 z -1/6) 1/2)) (*.f64 (exp.f64 -13/2) (fma.f64 z -1 1))) |
(*.f64 (exp.f64 -13/2) (+.f64 (-.f64 1 z) (*.f64 (*.f64 z z) (+.f64 (*.f64 z -1/6) 1/2)))) |
(exp.f64 (neg.f64 (+.f64 13/2 z))) |
(exp.f64 (+.f64 -13/2 (neg.f64 z))) |
(exp.f64 (-.f64 -13/2 z)) |
(exp.f64 (neg.f64 (+.f64 13/2 z))) |
(exp.f64 (+.f64 -13/2 (neg.f64 z))) |
(exp.f64 (-.f64 -13/2 z)) |
(exp.f64 (neg.f64 (+.f64 13/2 z))) |
(exp.f64 (+.f64 -13/2 (neg.f64 z))) |
(exp.f64 (-.f64 -13/2 z)) |
(exp.f64 (neg.f64 (+.f64 13/2 z))) |
(exp.f64 (+.f64 -13/2 (neg.f64 z))) |
(exp.f64 (-.f64 -13/2 z)) |
(exp.f64 (-.f64 (*.f64 -1 z) 13/2)) |
(exp.f64 (+.f64 -13/2 (neg.f64 z))) |
(exp.f64 (-.f64 -13/2 z)) |
(exp.f64 (-.f64 (*.f64 -1 z) 13/2)) |
(exp.f64 (+.f64 -13/2 (neg.f64 z))) |
(exp.f64 (-.f64 -13/2 z)) |
(exp.f64 (-.f64 (*.f64 -1 z) 13/2)) |
(exp.f64 (+.f64 -13/2 (neg.f64 z))) |
(exp.f64 (-.f64 -13/2 z)) |
(exp.f64 (-.f64 (*.f64 -1 z) 13/2)) |
(exp.f64 (+.f64 -13/2 (neg.f64 z))) |
(exp.f64 (-.f64 -13/2 z)) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 1.0b | (sqrt.f64 (*.f64 (PI.f64) 2)) | |
| 1.2b | (exp.f64 (+.f64 z 13/2)) | |
| 1.7b | (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))) | |
| ✓ | 2.5b | (expm1.f64 (log1p.f64 (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))) |
Compiled 432 to 349 computations (19.2% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | z | @ | 0 | (expm1.f64 (log1p.f64 (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))) |
| 0.0ms | z | @ | inf | (expm1.f64 (log1p.f64 (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))) |
| 0.0ms | z | @ | -inf | (expm1.f64 (log1p.f64 (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))) |
| 1× | batch-egg-rewrite |
| 541× | log-prod_binary64 |
| 506× | prod-diff_binary64 |
| 305× | pow2_binary64 |
| 255× | pow-unpow_binary64 |
| 208× | expm1-udef_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 18 |
| 1 | 233 | 18 |
| 2 | 3141 | 18 |
| 1× | node limit |
| Inputs |
|---|
(expm1.f64 (log1p.f64 (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (-.f64 (neg.f64 z) 13/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))) (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))) 2) (cbrt.f64 (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 z 13/2) (*.f64 2 (+.f64 z -1/2)))) (*.f64 (cbrt.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))) (exp.f64 (-.f64 (neg.f64 z) 13/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))) (sqrt.f64 (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 z 13/2) z) (*.f64 (pow.f64 (+.f64 z 13/2) -1/2) (exp.f64 (-.f64 (neg.f64 z) 13/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))) (/.f64 1 (neg.f64 (exp.f64 (+.f64 z 13/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 (-.f64 (neg.f64 z) 13/2)) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))) (*.f64 (sqrt.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))) (exp.f64 (-.f64 (neg.f64 z) 13/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 z 13/2) (*.f64 2 (+.f64 z -1/2)))) 1) (/.f64 (cbrt.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))) (exp.f64 (+.f64 z 13/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))) 1) (/.f64 (sqrt.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))) (exp.f64 (+.f64 z 13/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (+.f64 z 13/2) z) 1) (/.f64 (pow.f64 (+.f64 z 13/2) -1/2) (exp.f64 (+.f64 z 13/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (exp.f64 z)) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 13/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 z 13/2) (*.f64 2 (+.f64 z -1/2)))) (exp.f64 z)) (/.f64 (cbrt.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))) (exp.f64 13/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))) (exp.f64 z)) (/.f64 (sqrt.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))) (exp.f64 13/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (+.f64 z 13/2) z) (exp.f64 z)) (/.f64 (pow.f64 (+.f64 z 13/2) -1/2) (exp.f64 13/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 z 13/2))) -2) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (cbrt.f64 (exp.f64 (+.f64 z 13/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 z 13/2) (*.f64 2 (+.f64 z -1/2)))) (cbrt.f64 (pow.f64 (exp.f64 (+.f64 z 13/2)) 2))) (cbrt.f64 (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))) (cbrt.f64 (pow.f64 (exp.f64 (+.f64 z 13/2)) 2))) (/.f64 (sqrt.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))) (cbrt.f64 (exp.f64 (+.f64 z 13/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (+.f64 z 13/2) z) (cbrt.f64 (pow.f64 (exp.f64 (+.f64 z 13/2)) 2))) (/.f64 (pow.f64 (+.f64 z 13/2) -1/2) (cbrt.f64 (exp.f64 (+.f64 z 13/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 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(pow.f64 (+.f64 z 13/2) (*.f64 2 (+.f64 z -1/2)))) (/.f64 (exp.f64 (+.f64 z 13/2)) (cbrt.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (+.f64 z 13/2) z) (/.f64 (exp.f64 (+.f64 z 13/2)) (pow.f64 (+.f64 z 13/2) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))) (neg.f64 (exp.f64 (+.f64 z 13/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))) (/.f64 (exp.f64 (+.f64 z 13/2)) (sqrt.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (neg.f64 (/.f64 (exp.f64 (+.f64 z 13/2)) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)))) (neg.f64 (neg.f64 (exp.f64 (+.f64 z 13/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (sqrt.f64 (exp.f64 (+.f64 z 13/2)))) (sqrt.f64 (exp.f64 (+.f64 z 13/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))) 1) 3) 1) (+.f64 (pow.f64 (+.f64 (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))) 1) 2) (+.f64 1 (*.f64 (+.f64 (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))) 1) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))) 1) 2) 1) (+.f64 (+.f64 (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) 1) (exp.f64 (+.f64 z 13/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 z)) (exp.f64 13/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (cbrt.f64 (pow.f64 (exp.f64 (+.f64 z 13/2)) 2))) (cbrt.f64 (exp.f64 (+.f64 z 13/2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (exp.f64 (+.f64 z 13/2)) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) 3) (exp.f64 (*.f64 3 (+.f64 z 13/2)))) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (exp.f64 (+.f64 z 13/2)) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (neg.f64 (exp.f64 (+.f64 z 13/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) 3) (exp.f64 (*.f64 3 (+.f64 z 13/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (fma.f64 (+.f64 z -1/2) (log.f64 (+.f64 z 13/2)) (-.f64 (neg.f64 z) 13/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (fma.f64 (+.f64 z -1/2) (log.f64 (+.f64 z 13/2)) (-.f64 (neg.f64 z) 13/2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))) 1)) 2) (cbrt.f64 (+.f64 (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))) 1)) (sqrt.f64 (+.f64 (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))) 1)) -1))))) |
| 1× | egg-herbie |
| 499× | associate--r+_binary64 |
| 435× | associate-+l-_binary64 |
| 421× | associate--l+_binary64 |
| 354× | fma-neg_binary64 |
| 302× | cancel-sign-sub-inv_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 67 | 547 |
| 1 | 196 | 535 |
| 2 | 625 | 521 |
| 3 | 2985 | 447 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) |
(+.f64 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) (*.f64 (-.f64 (/.f64 (*.f64 (-.f64 (log.f64 13/2) 1/13) (sqrt.f64 2/13)) (exp.f64 13/2)) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) z)) |
(+.f64 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) (+.f64 (*.f64 (-.f64 (+.f64 (/.f64 (*.f64 (+.f64 27/169 (*.f64 1/2 (pow.f64 (-.f64 (log.f64 13/2) 1/13) 2))) (sqrt.f64 2/13)) (exp.f64 13/2)) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) (+.f64 (*.f64 1/2 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) (/.f64 (*.f64 (-.f64 (log.f64 13/2) 1/13) (sqrt.f64 2/13)) (exp.f64 13/2)))) (pow.f64 z 2)) (*.f64 (-.f64 (/.f64 (*.f64 (-.f64 (log.f64 13/2) 1/13) (sqrt.f64 2/13)) (exp.f64 13/2)) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) z))) |
(+.f64 (*.f64 (-.f64 (+.f64 (*.f64 1/2 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) (+.f64 (/.f64 (*.f64 (-.f64 (log.f64 13/2) 1/13) (sqrt.f64 2/13)) (exp.f64 13/2)) (/.f64 (*.f64 (-.f64 (+.f64 (*.f64 27/169 (-.f64 (log.f64 13/2) 1/13)) (*.f64 1/6 (pow.f64 (-.f64 (log.f64 13/2) 1/13) 3))) 82/6591) (sqrt.f64 2/13)) (exp.f64 13/2)))) (+.f64 (*.f64 1/2 (-.f64 (/.f64 (*.f64 (-.f64 (log.f64 13/2) 1/13) (sqrt.f64 2/13)) (exp.f64 13/2)) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)))) (+.f64 (/.f64 (*.f64 (+.f64 27/169 (*.f64 1/2 (pow.f64 (-.f64 (log.f64 13/2) 1/13) 2))) (sqrt.f64 2/13)) (exp.f64 13/2)) (+.f64 (*.f64 1/6 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)))))) (pow.f64 z 3)) (+.f64 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) (+.f64 (*.f64 (-.f64 (+.f64 (/.f64 (*.f64 (+.f64 27/169 (*.f64 1/2 (pow.f64 (-.f64 (log.f64 13/2) 1/13) 2))) (sqrt.f64 2/13)) (exp.f64 13/2)) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) (+.f64 (*.f64 1/2 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) (/.f64 (*.f64 (-.f64 (log.f64 13/2) 1/13) (sqrt.f64 2/13)) (exp.f64 13/2)))) (pow.f64 z 2)) (*.f64 (-.f64 (/.f64 (*.f64 (-.f64 (log.f64 13/2) 1/13) (sqrt.f64 2/13)) (exp.f64 13/2)) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) z)))) |
(/.f64 (pow.f64 (+.f64 13/2 z) (-.f64 z 1/2)) (exp.f64 (+.f64 13/2 z))) |
(/.f64 (pow.f64 (+.f64 13/2 z) (-.f64 z 1/2)) (exp.f64 (+.f64 13/2 z))) |
(/.f64 (pow.f64 (+.f64 13/2 z) (-.f64 z 1/2)) (exp.f64 (+.f64 13/2 z))) |
(/.f64 (pow.f64 (+.f64 13/2 z) (-.f64 z 1/2)) (exp.f64 (+.f64 13/2 z))) |
(/.f64 (exp.f64 (*.f64 -1 (*.f64 (log.f64 (-.f64 13/2 (*.f64 -1 z))) (+.f64 (*.f64 -1 z) 1/2)))) (exp.f64 (-.f64 13/2 (*.f64 -1 z)))) |
(/.f64 (exp.f64 (*.f64 -1 (*.f64 (log.f64 (-.f64 13/2 (*.f64 -1 z))) (+.f64 (*.f64 -1 z) 1/2)))) (exp.f64 (-.f64 13/2 (*.f64 -1 z)))) |
(/.f64 (exp.f64 (*.f64 -1 (*.f64 (log.f64 (-.f64 13/2 (*.f64 -1 z))) (+.f64 (*.f64 -1 z) 1/2)))) (exp.f64 (-.f64 13/2 (*.f64 -1 z)))) |
(/.f64 (exp.f64 (*.f64 -1 (*.f64 (log.f64 (-.f64 13/2 (*.f64 -1 z))) (+.f64 (*.f64 -1 z) 1/2)))) (exp.f64 (-.f64 13/2 (*.f64 -1 z)))) |
| Outputs |
|---|
(/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) |
(+.f64 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) (*.f64 (-.f64 (/.f64 (*.f64 (-.f64 (log.f64 13/2) 1/13) (sqrt.f64 2/13)) (exp.f64 13/2)) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) z)) |
(+.f64 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) (*.f64 (-.f64 (/.f64 (+.f64 (log.f64 13/2) -1/13) (/.f64 (exp.f64 13/2) (sqrt.f64 2/13))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) z)) |
(fma.f64 (-.f64 (*.f64 (/.f64 (+.f64 (log.f64 13/2) -1/13) (exp.f64 13/2)) (sqrt.f64 2/13)) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) z (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) |
(fma.f64 (-.f64 (*.f64 (sqrt.f64 2/13) (/.f64 (+.f64 (log.f64 13/2) -1/13) (exp.f64 13/2))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) z (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) |
(fma.f64 (*.f64 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) (+.f64 (+.f64 (log.f64 13/2) -1/13) -1)) z (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) |
(+.f64 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) (+.f64 (*.f64 (-.f64 (+.f64 (/.f64 (*.f64 (+.f64 27/169 (*.f64 1/2 (pow.f64 (-.f64 (log.f64 13/2) 1/13) 2))) (sqrt.f64 2/13)) (exp.f64 13/2)) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) (+.f64 (*.f64 1/2 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) (/.f64 (*.f64 (-.f64 (log.f64 13/2) 1/13) (sqrt.f64 2/13)) (exp.f64 13/2)))) (pow.f64 z 2)) (*.f64 (-.f64 (/.f64 (*.f64 (-.f64 (log.f64 13/2) 1/13) (sqrt.f64 2/13)) (exp.f64 13/2)) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) z))) |
(+.f64 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) (fma.f64 (+.f64 (/.f64 (+.f64 27/169 (*.f64 1/2 (pow.f64 (+.f64 (log.f64 13/2) -1/13) 2))) (/.f64 (exp.f64 13/2) (sqrt.f64 2/13))) (-.f64 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) (fma.f64 1/2 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) (/.f64 (+.f64 (log.f64 13/2) -1/13) (/.f64 (exp.f64 13/2) (sqrt.f64 2/13)))))) (*.f64 z z) (*.f64 (-.f64 (/.f64 (+.f64 (log.f64 13/2) -1/13) (/.f64 (exp.f64 13/2) (sqrt.f64 2/13))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) z))) |
(+.f64 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) (fma.f64 (-.f64 (*.f64 (/.f64 (+.f64 (log.f64 13/2) -1/13) (exp.f64 13/2)) (sqrt.f64 2/13)) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) z (*.f64 z (*.f64 z (+.f64 (/.f64 (fma.f64 1/2 (pow.f64 (+.f64 (log.f64 13/2) -1/13) 2) 27/169) (/.f64 (exp.f64 13/2) (sqrt.f64 2/13))) (-.f64 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) (fma.f64 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) 1/2 (*.f64 (/.f64 (+.f64 (log.f64 13/2) -1/13) (exp.f64 13/2)) (sqrt.f64 2/13))))))))) |
(fma.f64 (-.f64 (*.f64 (sqrt.f64 2/13) (/.f64 (+.f64 (log.f64 13/2) -1/13) (exp.f64 13/2))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) z (fma.f64 z (*.f64 z (fma.f64 (/.f64 (fma.f64 1/2 (pow.f64 (+.f64 (log.f64 13/2) -1/13) 2) 27/169) (exp.f64 13/2)) (sqrt.f64 2/13) (-.f64 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) (fma.f64 (/.f64 (+.f64 (log.f64 13/2) -1/13) (exp.f64 13/2)) (sqrt.f64 2/13) (*.f64 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) 1/2))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)))) |
(fma.f64 (*.f64 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) (+.f64 (+.f64 (log.f64 13/2) -1/13) -1)) z (fma.f64 z (*.f64 z (+.f64 (/.f64 (sqrt.f64 2/13) (/.f64 (exp.f64 13/2) 1/2)) (*.f64 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) (-.f64 (fma.f64 1/2 (pow.f64 (+.f64 (log.f64 13/2) -1/13) 2) 27/169) (+.f64 (log.f64 13/2) -1/13))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)))) |
(+.f64 (*.f64 (-.f64 (+.f64 (*.f64 1/2 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) (+.f64 (/.f64 (*.f64 (-.f64 (log.f64 13/2) 1/13) (sqrt.f64 2/13)) (exp.f64 13/2)) (/.f64 (*.f64 (-.f64 (+.f64 (*.f64 27/169 (-.f64 (log.f64 13/2) 1/13)) (*.f64 1/6 (pow.f64 (-.f64 (log.f64 13/2) 1/13) 3))) 82/6591) (sqrt.f64 2/13)) (exp.f64 13/2)))) (+.f64 (*.f64 1/2 (-.f64 (/.f64 (*.f64 (-.f64 (log.f64 13/2) 1/13) (sqrt.f64 2/13)) (exp.f64 13/2)) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)))) (+.f64 (/.f64 (*.f64 (+.f64 27/169 (*.f64 1/2 (pow.f64 (-.f64 (log.f64 13/2) 1/13) 2))) (sqrt.f64 2/13)) (exp.f64 13/2)) (+.f64 (*.f64 1/6 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)))))) (pow.f64 z 3)) (+.f64 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) (+.f64 (*.f64 (-.f64 (+.f64 (/.f64 (*.f64 (+.f64 27/169 (*.f64 1/2 (pow.f64 (-.f64 (log.f64 13/2) 1/13) 2))) (sqrt.f64 2/13)) (exp.f64 13/2)) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) (+.f64 (*.f64 1/2 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) (/.f64 (*.f64 (-.f64 (log.f64 13/2) 1/13) (sqrt.f64 2/13)) (exp.f64 13/2)))) (pow.f64 z 2)) (*.f64 (-.f64 (/.f64 (*.f64 (-.f64 (log.f64 13/2) 1/13) (sqrt.f64 2/13)) (exp.f64 13/2)) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) z)))) |
(fma.f64 (-.f64 (+.f64 (fma.f64 1/2 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) (/.f64 (+.f64 (log.f64 13/2) -1/13) (/.f64 (exp.f64 13/2) (sqrt.f64 2/13)))) (/.f64 (+.f64 (fma.f64 27/169 (+.f64 (log.f64 13/2) -1/13) (*.f64 1/6 (pow.f64 (+.f64 (log.f64 13/2) -1/13) 3))) -82/6591) (/.f64 (exp.f64 13/2) (sqrt.f64 2/13)))) (fma.f64 1/2 (-.f64 (/.f64 (+.f64 (log.f64 13/2) -1/13) (/.f64 (exp.f64 13/2) (sqrt.f64 2/13))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) (+.f64 (/.f64 (+.f64 27/169 (*.f64 1/2 (pow.f64 (+.f64 (log.f64 13/2) -1/13) 2))) (/.f64 (exp.f64 13/2) (sqrt.f64 2/13))) (*.f64 7/6 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)))))) (pow.f64 z 3) (+.f64 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) (fma.f64 (+.f64 (/.f64 (+.f64 27/169 (*.f64 1/2 (pow.f64 (+.f64 (log.f64 13/2) -1/13) 2))) (/.f64 (exp.f64 13/2) (sqrt.f64 2/13))) (-.f64 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) (fma.f64 1/2 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) (/.f64 (+.f64 (log.f64 13/2) -1/13) (/.f64 (exp.f64 13/2) (sqrt.f64 2/13)))))) (*.f64 z z) (*.f64 (-.f64 (/.f64 (+.f64 (log.f64 13/2) -1/13) (/.f64 (exp.f64 13/2) (sqrt.f64 2/13))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) z)))) |
(+.f64 (fma.f64 (-.f64 (*.f64 (/.f64 (+.f64 (log.f64 13/2) -1/13) (exp.f64 13/2)) (sqrt.f64 2/13)) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) z (*.f64 z (*.f64 z (+.f64 (/.f64 (fma.f64 1/2 (pow.f64 (+.f64 (log.f64 13/2) -1/13) 2) 27/169) (/.f64 (exp.f64 13/2) (sqrt.f64 2/13))) (-.f64 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) (fma.f64 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) 1/2 (*.f64 (/.f64 (+.f64 (log.f64 13/2) -1/13) (exp.f64 13/2)) (sqrt.f64 2/13)))))))) (fma.f64 (-.f64 (+.f64 (fma.f64 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) 1/2 (*.f64 (/.f64 (+.f64 (log.f64 13/2) -1/13) (exp.f64 13/2)) (sqrt.f64 2/13))) (/.f64 (sqrt.f64 2/13) (/.f64 (exp.f64 13/2) (fma.f64 (+.f64 (log.f64 13/2) -1/13) 27/169 (fma.f64 1/6 (pow.f64 (+.f64 (log.f64 13/2) -1/13) 3) -82/6591))))) (fma.f64 (-.f64 (*.f64 (/.f64 (+.f64 (log.f64 13/2) -1/13) (exp.f64 13/2)) (sqrt.f64 2/13)) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) 1/2 (fma.f64 7/6 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) (/.f64 (fma.f64 1/2 (pow.f64 (+.f64 (log.f64 13/2) -1/13) 2) 27/169) (/.f64 (exp.f64 13/2) (sqrt.f64 2/13)))))) (pow.f64 z 3) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)))) |
(fma.f64 (-.f64 (fma.f64 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) 1/2 (*.f64 (sqrt.f64 2/13) (+.f64 (/.f64 (+.f64 (log.f64 13/2) -1/13) (exp.f64 13/2)) (/.f64 (fma.f64 1/6 (pow.f64 (+.f64 (log.f64 13/2) -1/13) 3) (+.f64 (*.f64 (log.f64 13/2) 27/169) -163/6591)) (exp.f64 13/2))))) (fma.f64 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) 7/6 (fma.f64 (-.f64 (*.f64 (sqrt.f64 2/13) (/.f64 (+.f64 (log.f64 13/2) -1/13) (exp.f64 13/2))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) 1/2 (*.f64 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) (fma.f64 1/2 (pow.f64 (+.f64 (log.f64 13/2) -1/13) 2) 27/169))))) (pow.f64 z 3) (fma.f64 (-.f64 (*.f64 (sqrt.f64 2/13) (/.f64 (+.f64 (log.f64 13/2) -1/13) (exp.f64 13/2))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) z (fma.f64 z (*.f64 z (fma.f64 (/.f64 (fma.f64 1/2 (pow.f64 (+.f64 (log.f64 13/2) -1/13) 2) 27/169) (exp.f64 13/2)) (sqrt.f64 2/13) (-.f64 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) (fma.f64 (/.f64 (+.f64 (log.f64 13/2) -1/13) (exp.f64 13/2)) (sqrt.f64 2/13) (*.f64 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) 1/2))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))))) |
(fma.f64 (+.f64 (*.f64 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) (+.f64 (+.f64 (log.f64 13/2) -1/13) (fma.f64 1/6 (pow.f64 (+.f64 (log.f64 13/2) -1/13) 3) (+.f64 (*.f64 (log.f64 13/2) 27/169) -163/6591)))) (-.f64 (*.f64 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) -2/3) (fma.f64 (*.f64 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) (+.f64 (+.f64 (log.f64 13/2) -1/13) -1)) 1/2 (*.f64 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) (fma.f64 1/2 (pow.f64 (+.f64 (log.f64 13/2) -1/13) 2) 27/169))))) (pow.f64 z 3) (fma.f64 (*.f64 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) (+.f64 (+.f64 (log.f64 13/2) -1/13) -1)) z (fma.f64 z (*.f64 z (+.f64 (/.f64 (sqrt.f64 2/13) (/.f64 (exp.f64 13/2) 1/2)) (*.f64 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) (-.f64 (fma.f64 1/2 (pow.f64 (+.f64 (log.f64 13/2) -1/13) 2) 27/169) (+.f64 (log.f64 13/2) -1/13))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))))) |
(/.f64 (pow.f64 (+.f64 13/2 z) (-.f64 z 1/2)) (exp.f64 (+.f64 13/2 z))) |
(/.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)) (exp.f64 (+.f64 13/2 z))) |
(*.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)) (exp.f64 (-.f64 -13/2 z))) |
(/.f64 (pow.f64 (+.f64 13/2 z) (-.f64 z 1/2)) (exp.f64 (+.f64 13/2 z))) |
(/.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)) (exp.f64 (+.f64 13/2 z))) |
(*.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)) (exp.f64 (-.f64 -13/2 z))) |
(/.f64 (pow.f64 (+.f64 13/2 z) (-.f64 z 1/2)) (exp.f64 (+.f64 13/2 z))) |
(/.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)) (exp.f64 (+.f64 13/2 z))) |
(*.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)) (exp.f64 (-.f64 -13/2 z))) |
(/.f64 (pow.f64 (+.f64 13/2 z) (-.f64 z 1/2)) (exp.f64 (+.f64 13/2 z))) |
(/.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)) (exp.f64 (+.f64 13/2 z))) |
(*.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)) (exp.f64 (-.f64 -13/2 z))) |
(/.f64 (exp.f64 (*.f64 -1 (*.f64 (log.f64 (-.f64 13/2 (*.f64 -1 z))) (+.f64 (*.f64 -1 z) 1/2)))) (exp.f64 (-.f64 13/2 (*.f64 -1 z)))) |
(/.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)) (exp.f64 (+.f64 13/2 z))) |
(*.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)) (exp.f64 (-.f64 -13/2 z))) |
(/.f64 (exp.f64 (*.f64 -1 (*.f64 (log.f64 (-.f64 13/2 (*.f64 -1 z))) (+.f64 (*.f64 -1 z) 1/2)))) (exp.f64 (-.f64 13/2 (*.f64 -1 z)))) |
(/.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)) (exp.f64 (+.f64 13/2 z))) |
(*.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)) (exp.f64 (-.f64 -13/2 z))) |
(/.f64 (exp.f64 (*.f64 -1 (*.f64 (log.f64 (-.f64 13/2 (*.f64 -1 z))) (+.f64 (*.f64 -1 z) 1/2)))) (exp.f64 (-.f64 13/2 (*.f64 -1 z)))) |
(/.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)) (exp.f64 (+.f64 13/2 z))) |
(*.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)) (exp.f64 (-.f64 -13/2 z))) |
(/.f64 (exp.f64 (*.f64 -1 (*.f64 (log.f64 (-.f64 13/2 (*.f64 -1 z))) (+.f64 (*.f64 -1 z) 1/2)))) (exp.f64 (-.f64 13/2 (*.f64 -1 z)))) |
(/.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)) (exp.f64 (+.f64 13/2 z))) |
(*.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)) (exp.f64 (-.f64 -13/2 z))) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.8b | (fma.f64 (/.f64 1 z) 6765203681218851/10000000000000 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))))) |
| 1.0b | (sqrt.f64 (*.f64 (PI.f64) 2)) | |
| 1.2b | (exp.f64 (+.f64 z 13/2)) | |
| 1.7b | (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))) |
Compiled 458 to 374 computations (18.3% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | z | @ | 0 | (fma.f64 (/.f64 1 z) 6765203681218851/10000000000000 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))))) |
| 0.0ms | z | @ | inf | (fma.f64 (/.f64 1 z) 6765203681218851/10000000000000 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))))) |
| 0.0ms | z | @ | -inf | (fma.f64 (/.f64 1 z) 6765203681218851/10000000000000 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))))) |
| 1× | batch-egg-rewrite |
| 619× | fma-def_binary64 |
| 352× | fma-neg_binary64 |
| 332× | log1p-udef_binary64 |
| 331× | expm1-udef_binary64 |
| 249× | log-pow_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 16 | 26 |
| 1 | 385 | 25 |
| 2 | 5390 | 25 |
| 1× | node limit |
| Inputs |
|---|
(fma.f64 (/.f64 1 z) 6765203681218851/10000000000000 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 z)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) (/.f64 6765203681218851/10000000000000 z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 z)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 6765203681218851/10000000000000 z) 1) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 z)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) 9999999999998099/10000000000000000) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 z)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 z)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) 9999999999998099/10000000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 1 z)))) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) 9999999999998099/10000000000000000) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 z)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) 9999999999998099/10000000000000000) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 z)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) 9999999999998099/10000000000000000) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 z)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) 9999999999998099/10000000000000000) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 z)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))))) (pow.f64 (cbrt.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) 9999999999998099/10000000000000000) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 z)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) 9999999999998099/10000000000000000) (+.f64 (/.f64 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((x exp.f64 (*.f64 (log.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) 9999999999998099/10000000000000000) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 z)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))))) 1)))))) |
| 1× | egg-herbie |
| 606× | cancel-sign-sub-inv_binary64 |
| 536× | unswap-sqr_binary64 |
| 507× | fma-neg_binary64 |
| 452× | associate-/r/_binary64 |
| 349× | associate-/r*_binary64 |
Useful iterations: 5 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 35 | 138 |
| 1 | 93 | 138 |
| 2 | 200 | 138 |
| 3 | 463 | 135 |
| 4 | 1156 | 135 |
| 5 | 3890 | 131 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 6765203681218851/10000000000000 z) |
(-.f64 (*.f64 6765203681218851/10000000000000 (/.f64 1 z)) 8724775023335764401/10000000000000000) |
(-.f64 (+.f64 (*.f64 42652334381119581/40000000000000 z) (*.f64 6765203681218851/10000000000000 (/.f64 1 z))) 8724775023335764401/10000000000000000) |
(-.f64 (+.f64 (*.f64 -93017903050015693/80000000000000 (pow.f64 z 2)) (+.f64 (*.f64 42652334381119581/40000000000000 z) (*.f64 6765203681218851/10000000000000 (/.f64 1 z)))) 8724775023335764401/10000000000000000) |
9999999999998099/10000000000000000 |
(+.f64 9999999999998099/10000000000000000 (*.f64 943522900885677/5000000000000 (/.f64 1 z))) |
(-.f64 (+.f64 9999999999998099/10000000000000000 (*.f64 943522900885677/5000000000000 (/.f64 1 z))) (*.f64 1417538204164517/5000000000000 (/.f64 1 (pow.f64 z 2)))) |
(-.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (*.f64 1141346561492631/625000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 943522900885677/5000000000000 (/.f64 1 z)))) (*.f64 1417538204164517/5000000000000 (/.f64 1 (pow.f64 z 2)))) |
9999999999998099/10000000000000000 |
(+.f64 9999999999998099/10000000000000000 (*.f64 943522900885677/5000000000000 (/.f64 1 z))) |
(-.f64 (+.f64 9999999999998099/10000000000000000 (*.f64 943522900885677/5000000000000 (/.f64 1 z))) (*.f64 1417538204164517/5000000000000 (/.f64 1 (pow.f64 z 2)))) |
(-.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (*.f64 1141346561492631/625000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 943522900885677/5000000000000 (/.f64 1 z)))) (*.f64 1417538204164517/5000000000000 (/.f64 1 (pow.f64 z 2)))) |
| Outputs |
|---|
(/.f64 6765203681218851/10000000000000 z) |
(-.f64 (*.f64 6765203681218851/10000000000000 (/.f64 1 z)) 8724775023335764401/10000000000000000) |
(+.f64 (/.f64 6765203681218851/10000000000000 z) -8724775023335764401/10000000000000000) |
(-.f64 (+.f64 (*.f64 42652334381119581/40000000000000 z) (*.f64 6765203681218851/10000000000000 (/.f64 1 z))) 8724775023335764401/10000000000000000) |
(+.f64 (fma.f64 42652334381119581/40000000000000 z (/.f64 6765203681218851/10000000000000 z)) -8724775023335764401/10000000000000000) |
(+.f64 (fma.f64 z 42652334381119581/40000000000000 (/.f64 6765203681218851/10000000000000 z)) -8724775023335764401/10000000000000000) |
(+.f64 (/.f64 6765203681218851/10000000000000 z) (fma.f64 z 42652334381119581/40000000000000 -8724775023335764401/10000000000000000)) |
(-.f64 (+.f64 (*.f64 -93017903050015693/80000000000000 (pow.f64 z 2)) (+.f64 (*.f64 42652334381119581/40000000000000 z) (*.f64 6765203681218851/10000000000000 (/.f64 1 z)))) 8724775023335764401/10000000000000000) |
(+.f64 (fma.f64 -93017903050015693/80000000000000 (*.f64 z z) (fma.f64 42652334381119581/40000000000000 z (/.f64 6765203681218851/10000000000000 z))) -8724775023335764401/10000000000000000) |
(+.f64 (fma.f64 -93017903050015693/80000000000000 (*.f64 z z) (fma.f64 z 42652334381119581/40000000000000 (/.f64 6765203681218851/10000000000000 z))) -8724775023335764401/10000000000000000) |
(+.f64 (fma.f64 z 42652334381119581/40000000000000 (/.f64 6765203681218851/10000000000000 z)) (fma.f64 z (*.f64 z -93017903050015693/80000000000000) -8724775023335764401/10000000000000000)) |
(+.f64 (/.f64 6765203681218851/10000000000000 z) (fma.f64 z (fma.f64 z -93017903050015693/80000000000000 42652334381119581/40000000000000) -8724775023335764401/10000000000000000)) |
9999999999998099/10000000000000000 |
(+.f64 9999999999998099/10000000000000000 (*.f64 943522900885677/5000000000000 (/.f64 1 z))) |
(+.f64 9999999999998099/10000000000000000 (/.f64 943522900885677/5000000000000 z)) |
(-.f64 (+.f64 9999999999998099/10000000000000000 (*.f64 943522900885677/5000000000000 (/.f64 1 z))) (*.f64 1417538204164517/5000000000000 (/.f64 1 (pow.f64 z 2)))) |
(+.f64 9999999999998099/10000000000000000 (-.f64 (/.f64 943522900885677/5000000000000 z) (/.f64 1417538204164517/5000000000000 (*.f64 z z)))) |
(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 943522900885677/5000000000000 z) (/.f64 -1417538204164517/5000000000000 (*.f64 z z)))) |
(+.f64 9999999999998099/10000000000000000 (-.f64 (/.f64 943522900885677/5000000000000 z) (/.f64 (/.f64 1417538204164517/5000000000000 z) z))) |
(+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 943522900885677/5000000000000 z)) (/.f64 -1417538204164517/5000000000000 (*.f64 z z))) |
(-.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (*.f64 1141346561492631/625000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 943522900885677/5000000000000 (/.f64 1 z)))) (*.f64 1417538204164517/5000000000000 (/.f64 1 (pow.f64 z 2)))) |
(+.f64 9999999999998099/10000000000000000 (-.f64 (+.f64 (/.f64 943522900885677/5000000000000 z) (/.f64 1141346561492631/625000000000 (pow.f64 z 3))) (/.f64 1417538204164517/5000000000000 (*.f64 z z)))) |
(+.f64 (+.f64 (/.f64 943522900885677/5000000000000 z) (/.f64 1141346561492631/625000000000 (pow.f64 z 3))) (-.f64 9999999999998099/10000000000000000 (/.f64 1417538204164517/5000000000000 (*.f64 z z)))) |
(+.f64 (/.f64 943522900885677/5000000000000 z) (-.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 1141346561492631/625000000000 (pow.f64 z 3))) (/.f64 1417538204164517/5000000000000 (*.f64 z z)))) |
(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 943522900885677/5000000000000 z) (+.f64 (/.f64 1141346561492631/625000000000 (pow.f64 z 3)) (/.f64 -1417538204164517/5000000000000 (*.f64 z z))))) |
(fma.f64 (/.f64 1 (*.f64 z z)) (+.f64 -1417538204164517/5000000000000 (/.f64 1141346561492631/625000000000 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 943522900885677/5000000000000 z))) |
9999999999998099/10000000000000000 |
(+.f64 9999999999998099/10000000000000000 (*.f64 943522900885677/5000000000000 (/.f64 1 z))) |
(+.f64 9999999999998099/10000000000000000 (/.f64 943522900885677/5000000000000 z)) |
(-.f64 (+.f64 9999999999998099/10000000000000000 (*.f64 943522900885677/5000000000000 (/.f64 1 z))) (*.f64 1417538204164517/5000000000000 (/.f64 1 (pow.f64 z 2)))) |
(+.f64 9999999999998099/10000000000000000 (-.f64 (/.f64 943522900885677/5000000000000 z) (/.f64 1417538204164517/5000000000000 (*.f64 z z)))) |
(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 943522900885677/5000000000000 z) (/.f64 -1417538204164517/5000000000000 (*.f64 z z)))) |
(+.f64 9999999999998099/10000000000000000 (-.f64 (/.f64 943522900885677/5000000000000 z) (/.f64 (/.f64 1417538204164517/5000000000000 z) z))) |
(+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 943522900885677/5000000000000 z)) (/.f64 -1417538204164517/5000000000000 (*.f64 z z))) |
(-.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (*.f64 1141346561492631/625000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 943522900885677/5000000000000 (/.f64 1 z)))) (*.f64 1417538204164517/5000000000000 (/.f64 1 (pow.f64 z 2)))) |
(+.f64 9999999999998099/10000000000000000 (-.f64 (+.f64 (/.f64 943522900885677/5000000000000 z) (/.f64 1141346561492631/625000000000 (pow.f64 z 3))) (/.f64 1417538204164517/5000000000000 (*.f64 z z)))) |
(+.f64 (+.f64 (/.f64 943522900885677/5000000000000 z) (/.f64 1141346561492631/625000000000 (pow.f64 z 3))) (-.f64 9999999999998099/10000000000000000 (/.f64 1417538204164517/5000000000000 (*.f64 z z)))) |
(+.f64 (/.f64 943522900885677/5000000000000 z) (-.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 1141346561492631/625000000000 (pow.f64 z 3))) (/.f64 1417538204164517/5000000000000 (*.f64 z z)))) |
(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 943522900885677/5000000000000 z) (+.f64 (/.f64 1141346561492631/625000000000 (pow.f64 z 3)) (/.f64 -1417538204164517/5000000000000 (*.f64 z z))))) |
(fma.f64 (/.f64 1 (*.f64 z z)) (+.f64 -1417538204164517/5000000000000 (/.f64 1141346561492631/625000000000 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 943522900885677/5000000000000 z))) |
Compiled 57831 to 48035 computations (16.9% saved)
136 alts after pruning (131 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 672 | 34 | 706 |
| Fresh | 12 | 97 | 109 |
| Picked | 1 | 0 | 1 |
| Done | 3 | 5 | 8 |
| Total | 688 | 136 | 824 |
| Status | Error | Program |
|---|---|---|
| 3.7b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (*.f64 (neg.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))) (/.f64 1 (neg.f64 (exp.f64 (+.f64 z 13/2))))))) | |
| 63.1b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -883075145810703/5000000000000 z) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)))) | |
| 4.8b | (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (pow.f64 (E.f64) (+.f64 z 13/2))))) | |
| 4.0b | (*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 z -1) 15/2) (+.f64 z -1/2))) (exp.f64 (+.f64 (+.f64 z -1) 15/2))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 1 (/.f64 (-.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 z -1))) (-.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) 2) (/.f64 9908947294301912793614221284049/6250000000000000000000000 (pow.f64 (-.f64 z -1) 2))))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8)))) | |
| 3.9b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (/.f64 (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 (fma.f64 (fma.f64 (+.f64 z 1) 7713234287776531/10000000000000 (fma.f64 z -3147848041806007/2500000000000 -3147848041806007/1250000000000)) (/.f64 1 (*.f64 (+.f64 z 1) (+.f64 z 2))) (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))) (-.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))) | |
| 4.0b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (/.f64 (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))) (-.f64 9999999999998099/10000000000000000 (/.f64 1 (/.f64 (-.f64 (-.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))) (-.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (*.f64 z z)) (pow.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))) 2)))))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))) | |
| 3.8b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))) 3))) | |
| 3.8b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (cbrt.f64 (pow.f64 (exp.f64 2) (+.f64 z 13/2))) (cbrt.f64 (exp.f64 (+.f64 z 13/2))))))) | |
| 3.8b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (/.f64 (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 (/.f64 (-.f64 (*.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))) (/.f64 59493983178131529437839794393961/100000000000000000000000000 (pow.f64 (+.f64 z 2) 2))) (-.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))) (-.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))) | |
| 5.2b | (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (*.f64 (+.f64 z -1/2) (log.f64 (+.f64 z 13/2))))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 1 (/.f64 (-.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 z -1))) (-.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) 2) (/.f64 9908947294301912793614221284049/6250000000000000000000000 (pow.f64 (-.f64 z -1) 2))))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8)))) | |
| 3.7b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (exp.f64 (fma.f64 (+.f64 z -1/2) (log.f64 (+.f64 z 13/2)) (-.f64 (neg.f64 z) 13/2))))) | |
| 4.5b | (*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 2)) 2)) (sqrt.f64 (cbrt.f64 (*.f64 (PI.f64) 2)))) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (pow.f64 (E.f64) (+.f64 z 13/2))))) | |
| 11.3b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (pow.f64 (pow.f64 (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))) 3) 1/3))) | |
| 4.6b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (/.f64 (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))) (-.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (pow.f64 (pow.f64 (exp.f64 (+.f64 z 13/2)) 3) 1/3)))) | |
| 3.9b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (/.f64 (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 (/.f64 (fma.f64 (fma.f64 (+.f64 z 1) 7713234287776531/10000000000000 (fma.f64 z -3147848041806007/2500000000000 -3147848041806007/1250000000000)) z (*.f64 (*.f64 (+.f64 z 1) (+.f64 z 2)) 6765203681218851/10000000000000)) (*.f64 (*.f64 (+.f64 z 1) (+.f64 z 2)) z)) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))) (-.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))) | |
| 3.7b | (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (cbrt.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (-.f64 z -1)))) 3)) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8)))) | |
| 4.0b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (pow.f64 (cbrt.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))))) 3) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))) | |
| 4.3b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (/.f64 (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))) (-.f64 9999999999998099/10000000000000000 (/.f64 (-.f64 (*.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))) (/.f64 59493983178131529437839794393961/100000000000000000000000000 (pow.f64 (+.f64 z 2) 2))) (-.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))) | |
| 4.1b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (/.f64 (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))) (-.f64 9999999999998099/10000000000000000 (cbrt.f64 (pow.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 6765203681218851/10000000000000 z))) 3)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))) | |
| 3.6b | (*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 2)) 2)) (sqrt.f64 (cbrt.f64 (*.f64 (PI.f64) 2)))) (*.f64 (+.f64 (/.f64 (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))) (-.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (cbrt.f64 (pow.f64 (exp.f64 (+.f64 z 13/2)) 3))))) | |
| 6.2b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (+.f64 z 13/2)) 2)) (cbrt.f64 (+.f64 z 13/2)))))) | |
| 52.5b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 943522900885677/5000000000000 z)) (/.f64 -1417538204164517/5000000000000 (*.f64 z z))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))) | |
| 3.8b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 z)) (exp.f64 13/2)))) | |
| 10.5b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (*.f64 (cbrt.f64 (pow.f64 (+.f64 z 13/2) (*.f64 2 (+.f64 z -1/2)))) (*.f64 (cbrt.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))) (exp.f64 (-.f64 (neg.f64 z) 13/2)))))) | |
| 3.6b | (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (*.f64 1 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (-.f64 z -1))))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8)))) | |
| 4.3b | (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 (PI.f64) 2))) 3) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (*.f64 (pow.f64 (+.f64 z 13/2) z) (*.f64 (pow.f64 (+.f64 z 13/2) -1/2) (exp.f64 (-.f64 (neg.f64 z) 13/2)))))) | |
| 3.7b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (/.f64 (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 (/.f64 (-.f64 (pow.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))) 2) (/.f64 45767980848377092942628957760201/100000000000000000000000000 (*.f64 z z))) (-.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))) (/.f64 6765203681218851/10000000000000 z))) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))) (-.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))) | |
| 3.8b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (/.f64 (-.f64 (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))) (/.f64 59493983178131529437839794393961/100000000000000000000000000 (pow.f64 (+.f64 z 2) 2))) (-.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (*.f64 (pow.f64 (+.f64 z 13/2) z) (*.f64 (pow.f64 (+.f64 z 13/2) -1/2) (exp.f64 (-.f64 (neg.f64 z) 13/2)))))) | |
| 3.6b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (/.f64 (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))) (-.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (*.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)) (exp.f64 (-.f64 -13/2 z))))) | |
| 3.8b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (pow.f64 (cbrt.f64 (exp.f64 (+.f64 z 13/2))) 3)))) | |
| 4.1b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (/.f64 (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 (fma.f64 (/.f64 1 (+.f64 z 1)) -3147848041806007/2500000000000 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 6765203681218851/10000000000000 z))) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))) (-.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))) | |
| 3.8b | (*.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8)))) | |
| 3.9b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (/.f64 (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) (*.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 6765203681218851/10000000000000 z))) 1))) (-.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))) | |
| 6.2b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (/.f64 (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))) (-.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (+.f64 z 13/2)) 2)) (cbrt.f64 (+.f64 z 13/2)))))) | |
| 4.6b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (/.f64 (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))) (-.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (expm1.f64 (log1p.f64 (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))))) | |
| 3.7b | (*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 2)) 2)) (sqrt.f64 (cbrt.f64 (*.f64 (PI.f64) 2)))) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))) | |
| 49.9b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 943522900885677/5000000000000 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))) | |
| 3.8b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (exp.f64 (log.f64 (fma.f64 (/.f64 1 z) 6765203681218851/10000000000000 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))))))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 z 13/2))) 2) (cbrt.f64 (exp.f64 (+.f64 z 13/2))))))) | |
| ✓ | 4.7b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (expm1.f64 (log1p.f64 (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))))) |
| 4.3b | (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 (PI.f64) 2))) 3) (*.f64 (+.f64 (/.f64 (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))) (-.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))) | |
| 3.7b | (*.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 2)) 2)) (sqrt.f64 (cbrt.f64 (*.f64 (PI.f64) 2)))) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8)))) | |
| 4.1b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (/.f64 (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))) (-.f64 9999999999998099/10000000000000000 (*.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 6765203681218851/10000000000000 z))) 1))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))) | |
| 3.8b | (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (*.f64 (+.f64 (exp.f64 (log.f64 (fma.f64 (/.f64 1 z) 6765203681218851/10000000000000 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))))))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))) | |
| 49.9b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (*.f64 943522900885677/5000000000000 (/.f64 1 z))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))) | |
| 4.8b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (/.f64 (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))) (-.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (pow.f64 (exp.f64 (sqrt.f64 (+.f64 z 13/2))) (sqrt.f64 (+.f64 z 13/2)))))) | |
| 5.0b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (/.f64 (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))) (-.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (exp.f64 (*.f64 -1 (*.f64 (log.f64 (-.f64 13/2 (*.f64 -1 z))) (+.f64 (*.f64 -1 z) 1/2)))) (exp.f64 (-.f64 13/2 (*.f64 -1 z)))))) | |
| 3.8b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (/.f64 (-.f64 (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))) (/.f64 59493983178131529437839794393961/100000000000000000000000000 (pow.f64 (+.f64 z 2) 2))) (-.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))) | |
| 3.7b | (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))) | |
| 3.9b | (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 (+.f64 (*.f64 (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (*.f64 z z))) (-.f64 z -1)) (*.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) -3147848041806007/2500000000000)) (*.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (-.f64 z -1))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8)))) | |
| ✓ | 4.6b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (pow.f64 (E.f64) (+.f64 z 13/2))))) |
| 4.5b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (/.f64 (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))) (-.f64 9999999999998099/10000000000000000 (fma.f64 (/.f64 1 (+.f64 z 1)) -3147848041806007/2500000000000 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 6765203681218851/10000000000000 z))))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))) | |
| 59.5b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (-.f64 (*.f64 294358381936901/15000000000000 z) 294358381936901/5000000000000) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)))) | |
| 3.8b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (/.f64 (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))) (-.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (exp.f64 (-.f64 (*.f64 (+.f64 z -1/2) (log.f64 (+.f64 z 13/2))) (+.f64 z 13/2))))) | |
| 3.7b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (*.f64 (pow.f64 (+.f64 z 13/2) z) (*.f64 (pow.f64 (+.f64 z 13/2) -1/2) (/.f64 1 (exp.f64 (+.f64 z 13/2))))))) | |
| 4.0b | (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (fma.f64 (sqrt.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z))) (sqrt.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 z -1))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8)))) | |
| 4.0b | (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 (+.f64 (*.f64 (+.f64 999999999999429700000000108414029999993130164299/1000000000000000000000000000000000000000000000000 (pow.f64 (/.f64 6765203681218851/10000000000000 z) 3)) (-.f64 z -1)) (*.f64 (+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 (/.f64 6765203681218851/10000000000000 z) (-.f64 (/.f64 6765203681218851/10000000000000 z) 9999999999998099/10000000000000000))) -3147848041806007/2500000000000)) (*.f64 (+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 (/.f64 6765203681218851/10000000000000 z) (-.f64 (/.f64 6765203681218851/10000000000000 z) 9999999999998099/10000000000000000))) (-.f64 z -1))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8)))) | |
| 3.7b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (/.f64 (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 (fma.f64 (/.f64 1 z) 6765203681218851/10000000000000 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))) (-.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))) | |
| 4.0b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (/.f64 (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))) (-.f64 9999999999998099/10000000000000000 (/.f64 (-.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (*.f64 z z)) (pow.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))) 2)) (-.f64 (-.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))) | |
| ▶ | 63.1b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 -294358381936901/5000000000000 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)))) |
| 3.7b | (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (/.f64 1 (exp.f64 (+.f64 (+.f64 z -1) 15/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8)))) | |
| 3.8b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (sqrt.f64 (pow.f64 (exp.f64 2) (+.f64 z 13/2)))))) | |
| ✓ | 3.6b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (/.f64 (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))) (-.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))) |
| 3.7b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (/.f64 (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 (/.f64 (+.f64 (-.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))) (*.f64 (*.f64 z 10000000000000/6765203681218851) (-.f64 (/.f64 9908947294301912793614221284049/6250000000000000000000000 (pow.f64 (+.f64 z 1) 2)) (/.f64 59493983178131529437839794393961/100000000000000000000000000 (pow.f64 (+.f64 z 2) 2))))) (*.f64 (*.f64 z 10000000000000/6765203681218851) (-.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))))) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))) (-.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))) | |
| 4.7b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (/.f64 (+.f64 (*.f64 (fma.f64 -3147848041806007/2500000000000 (+.f64 z 2) (*.f64 (+.f64 z 1) 7713234287776531/10000000000000)) (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z))) (*.f64 (*.f64 (+.f64 z 1) (+.f64 z 2)) (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (*.f64 z z))))) (*.f64 (*.f64 (+.f64 z 1) (+.f64 z 2)) (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (pow.f64 (E.f64) (+.f64 z 13/2))))) | |
| ▶ | 3.9b | (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (*.f64 (+.f64 (exp.f64 (log.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))) |
| 3.8b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (*.f64 (/.f64 (pow.f64 (+.f64 z 13/2) z) (exp.f64 z)) (/.f64 (pow.f64 (+.f64 z 13/2) -1/2) (exp.f64 13/2))))) | |
| 63.0b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 (+.f64 z 13/2))))) | |
| 3.8b | (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (*.f64 (exp.f64 (neg.f64 (+.f64 z 6))) (exp.f64 -1/2))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8)))) | |
| 5.2b | (*.f64 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 (*.f64 -1 (*.f64 (log.f64 (-.f64 13/2 (*.f64 -1 z))) (+.f64 (*.f64 -1 z) 1/2)))) (exp.f64 (-.f64 (*.f64 -1 z) 13/2)))) (sqrt.f64 (PI.f64))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8)))) | |
| 3.6b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (/.f64 (+.f64 (pow.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) 3) (/.f64 458891030965964263706993392018425544321343929291/1000000000000000000000000000000000000000 (pow.f64 (+.f64 z 2) 3))) (+.f64 (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))) (-.f64 (/.f64 59493983178131529437839794393961/100000000000000000000000000 (pow.f64 (+.f64 z 2) 2)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))) | |
| 3.7b | (*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 2)) 2)) (sqrt.f64 (cbrt.f64 (*.f64 (PI.f64) 2)))) (*.f64 (+.f64 (exp.f64 (log.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))) | |
| 4.0b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (/.f64 (+.f64 (*.f64 (fma.f64 -3147848041806007/2500000000000 (+.f64 z 2) (*.f64 (+.f64 z 1) 7713234287776531/10000000000000)) (+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (-.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (*.f64 z z)) (*.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z))))) (*.f64 (*.f64 (+.f64 z 1) (+.f64 z 2)) (+.f64 999999999999429700000000108414029999993130164299/1000000000000000000000000000000000000000000000000 (/.f64 309629712517394580428200722024092610534658749051/1000000000000000000000000000000000000000 (pow.f64 z 3))))) (*.f64 (*.f64 (+.f64 z 1) (+.f64 z 2)) (+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (-.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (*.f64 z z)) (*.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)))))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (*.f64 (pow.f64 (+.f64 z 13/2) z) (*.f64 (pow.f64 (+.f64 z 13/2) -1/2) (exp.f64 (-.f64 (neg.f64 z) 13/2)))))) | |
| 3.8b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (*.f64 (pow.f64 (cbrt.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))) 2) (*.f64 (cbrt.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))) (exp.f64 (-.f64 (neg.f64 z) 13/2)))))) | |
| 3.8b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (exp.f64 (log.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 1 z)))) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))) | |
| 3.8b | (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (exp.f64 (-.f64 -13/2 z)) (pow.f64 (-.f64 z -13/2) (-.f64 1/2 z))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8)))) | |
| 5.3b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (-.f64 (+.f64 (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))) 1) 1))) | |
| 3.7b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (*.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)) (exp.f64 (-.f64 -13/2 z))))) | |
| 4.1b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (/.f64 (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))) (-.f64 9999999999998099/10000000000000000 (fma.f64 (/.f64 1 z) 6765203681218851/10000000000000 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))) | |
| 3.7b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (*.f64 (pow.f64 (+.f64 z 13/2) z) (*.f64 (pow.f64 (+.f64 z 13/2) -1/2) (exp.f64 (-.f64 -13/2 z)))))) | |
| 3.7b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (/.f64 (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 (-.f64 (/.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (*.f64 z z)) (-.f64 (-.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) (/.f64 (pow.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))) 2) (-.f64 (-.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))))) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))) (-.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))) | |
| 3.7b | (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (fma.f64 -3147848041806007/2500000000000 (/.f64 1 (-.f64 z -1)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8)))) | |
| 55.1b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (-.f64 (+.f64 (*.f64 42652334381119581/40000000000000 z) (*.f64 6765203681218851/10000000000000 (/.f64 1 z))) 8724775023335764401/10000000000000000) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))) | |
| 3.8b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (exp.f64 (log.f64 (fma.f64 (/.f64 1 z) 6765203681218851/10000000000000 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))))))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 z 13/2))) 2)) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (cbrt.f64 (exp.f64 (+.f64 z 13/2))))))) | |
| 3.9b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (/.f64 (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))) (-.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (expm1.f64 (log1p.f64 (exp.f64 (+.f64 z 13/2))))))) | |
| 3.8b | (*.f64 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 (+.f64 13/2 z) (-.f64 z 1/2)) (exp.f64 (neg.f64 (+.f64 13/2 z))))) (sqrt.f64 (PI.f64))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8)))) | |
| 4.0b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (/.f64 (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 6765203681218851/10000000000000 z))) 3) 1/3) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))) (-.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))) | |
| 3.8b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (/.f64 (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 (/.f64 (fma.f64 6765203681218851/10000000000000 (-.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))) (*.f64 z (-.f64 (/.f64 9908947294301912793614221284049/6250000000000000000000000 (pow.f64 (+.f64 z 1) 2)) (/.f64 59493983178131529437839794393961/100000000000000000000000000 (pow.f64 (+.f64 z 2) 2))))) (*.f64 z (-.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))))) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))) (-.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))) | |
| 3.6b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (/.f64 (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 (fma.f64 (/.f64 1 (+.f64 z 2)) 7713234287776531/10000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))) (-.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))) | |
| 3.9b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (expm1.f64 (log1p.f64 (exp.f64 (-.f64 (*.f64 (+.f64 z -1/2) (log.f64 (+.f64 z 13/2))) (+.f64 z 13/2))))))) | |
| 3.8b | (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (-.f64 z -1))) (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (-.f64 z -1))))) (-.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (-.f64 z -1))))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8)))) | |
| ▶ | 3.9b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (*.f64 (/.f64 1 (exp.f64 z)) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 13/2))))) |
| 3.7b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (exp.f64 (log.f64 (fma.f64 (/.f64 1 z) 6765203681218851/10000000000000 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))))))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (*.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)) (exp.f64 (-.f64 -13/2 z))))) | |
| 3.8b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (exp.f64 (log.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (pow.f64 (cbrt.f64 (exp.f64 (+.f64 z 13/2))) 3)))) | |
| 3.7b | (*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 2)) 2)) (sqrt.f64 (cbrt.f64 (*.f64 (PI.f64) 2)))) (*.f64 (+.f64 (/.f64 (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))) (-.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (pow.f64 (cbrt.f64 (exp.f64 (+.f64 z 13/2))) 3)))) | |
| 3.6b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (/.f64 (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))) (-.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (*.f64 (neg.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))) (/.f64 1 (neg.f64 (exp.f64 (+.f64 z 13/2))))))) | |
| 3.9b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (/.f64 (+.f64 (*.f64 (-.f64 (/.f64 9908947294301912793614221284049/6250000000000000000000000 (pow.f64 (+.f64 z 1) 2)) (/.f64 59493983178131529437839794393961/100000000000000000000000000 (pow.f64 (+.f64 z 2) 2))) (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z))) (*.f64 (-.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))) (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (*.f64 z z))))) (*.f64 (-.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))) (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))) | |
| 4.0b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (exp.f64 (log.f64 (/.f64 (fma.f64 (fma.f64 (+.f64 z 1) 7713234287776531/10000000000000 (fma.f64 z -3147848041806007/2500000000000 -3147848041806007/1250000000000)) (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (*.f64 (*.f64 (+.f64 z 1) (+.f64 z 2)) (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (*.f64 z z))))) (*.f64 (*.f64 (+.f64 z 1) (+.f64 z 2)) (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)))))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))) | |
| 3.7b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) z) (/.f64 (exp.f64 (+.f64 z 13/2)) (pow.f64 (+.f64 z 13/2) -1/2))))) | |
| 4.6b | (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (pow.f64 (exp.f64 -1) (+.f64 (+.f64 z -1) 15/2))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 1 (/.f64 (-.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 z -1))) (-.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) 2) (/.f64 9908947294301912793614221284049/6250000000000000000000000 (pow.f64 (-.f64 z -1) 2))))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8)))) | |
| ▶ | 3.9b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (expm1.f64 (log1p.f64 (exp.f64 (+.f64 z 13/2))))))) |
| 3.8b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (/.f64 (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 (/.f64 (fma.f64 6765203681218851/10000000000000 (*.f64 (+.f64 z 1) (+.f64 z 2)) (*.f64 z (fma.f64 (+.f64 z 1) 7713234287776531/10000000000000 (fma.f64 z -3147848041806007/2500000000000 -3147848041806007/1250000000000)))) (*.f64 z (*.f64 (+.f64 z 1) (+.f64 z 2)))) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))) (-.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))) | |
| 3.7b | (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 (+.f64 999999999999429700000000108414029999993130164299/1000000000000000000000000000000000000000000000000 (pow.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (-.f64 z -1))) 3)) (+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (-.f64 (*.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (-.f64 z -1))) (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (-.f64 z -1)))) (*.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (-.f64 z -1))))))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8)))) | |
| 63.0b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (exp.f64 (-.f64 (*.f64 (+.f64 z -1/2) (log.f64 (+.f64 z 13/2))) (+.f64 z 13/2))))) | |
| 3.8b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (/.f64 (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))) (-.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (exp.f64 z) (exp.f64 13/2))))) | |
| 3.8b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (/.f64 (+.f64 (*.f64 (fma.f64 -3147848041806007/2500000000000 (+.f64 z 2) (*.f64 (+.f64 z 1) 7713234287776531/10000000000000)) (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z))) (*.f64 (*.f64 (+.f64 z 1) (+.f64 z 2)) (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (*.f64 z z))))) (*.f64 (*.f64 (+.f64 z 1) (+.f64 z 2)) (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (*.f64 (pow.f64 (+.f64 z 13/2) z) (*.f64 (pow.f64 (+.f64 z 13/2) -1/2) (exp.f64 (-.f64 (neg.f64 z) 13/2)))))) | |
| 3.8b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (/.f64 (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))) (-.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (*.f64 (/.f64 1 (exp.f64 z)) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 13/2))))) | |
| ▶ | 3.6b | (*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 2)) 2)) (pow.f64 (*.f64 (PI.f64) 2) 1/6)) (*.f64 (+.f64 (/.f64 (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))) (-.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))) |
| 5.1b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (expm1.f64 (log1p.f64 (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (pow.f64 (exp.f64 (sqrt.f64 (+.f64 z 13/2))) (sqrt.f64 (+.f64 z 13/2)))))))) | |
| 3.9b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (/.f64 (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))) (-.f64 9999999999998099/10000000000000000 (fma.f64 (/.f64 1 (+.f64 z 2)) 7713234287776531/10000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))) | |
| 4.3b | (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 (PI.f64) 2))) 3) (*.f64 (+.f64 (exp.f64 (log.f64 (fma.f64 (/.f64 1 z) 6765203681218851/10000000000000 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))))))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))) | |
| 4.6b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (/.f64 (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))) (-.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (pow.f64 (E.f64) (+.f64 z 13/2))))) | |
| 53.4b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))) | |
| 4.3b | (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (pow.f64 (exp.f64 -1) (+.f64 (+.f64 z -1) 15/2))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8)))) | |
| 13.7b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (pow.f64 (/.f64 (pow.f64 (+.f64 z 13/2) (*.f64 (+.f64 z -1/2) 3)) (pow.f64 (exp.f64 (+.f64 z 13/2)) 3)) 1/3))) | |
| 3.7b | (*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 2)) 2)) (sqrt.f64 (cbrt.f64 (*.f64 (PI.f64) 2)))) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (*.f64 (pow.f64 (+.f64 z 13/2) z) (*.f64 (pow.f64 (+.f64 z 13/2) -1/2) (exp.f64 (-.f64 (neg.f64 z) 13/2)))))) | |
| 3.8b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (/.f64 (+.f64 (*.f64 (fma.f64 -3147848041806007/2500000000000 (+.f64 z 2) (*.f64 (+.f64 z 1) 7713234287776531/10000000000000)) (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z))) (*.f64 (*.f64 (+.f64 z 1) (+.f64 z 2)) (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (*.f64 z z))))) (*.f64 (*.f64 (+.f64 z 1) (+.f64 z 2)) (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))) | |
| 3.7b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (cbrt.f64 (pow.f64 (exp.f64 (+.f64 z 13/2)) 3))))) | |
| ✓ | 3.7b | (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8)))) |
| 3.7b | (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (*.f64 (+.f64 (/.f64 (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))) (-.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))) | |
| 3.9b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (/.f64 (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) (expm1.f64 (log1p.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 6765203681218851/10000000000000 z))))))) (-.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))) | |
| 3.9b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (exp.f64 (log.f64 (fma.f64 (/.f64 1 z) 6765203681218851/10000000000000 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))))))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (exp.f64 (-.f64 (*.f64 (+.f64 z -1/2) (log.f64 (+.f64 z 13/2))) (+.f64 z 13/2))))) | |
| 3.7b | (*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 z -1) 15/2) (+.f64 z -1/2))) (exp.f64 (+.f64 (+.f64 z -1) 15/2))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8)))) | |
| 3.9b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (/.f64 (+.f64 (*.f64 (-.f64 (/.f64 9908947294301912793614221284049/6250000000000000000000000 (pow.f64 (+.f64 z 1) 2)) (/.f64 59493983178131529437839794393961/100000000000000000000000000 (pow.f64 (+.f64 z 2) 2))) (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z))) (*.f64 (-.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))) (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (*.f64 z z))))) (*.f64 (-.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))) (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (*.f64 (pow.f64 (+.f64 z 13/2) z) (*.f64 (pow.f64 (+.f64 z 13/2) -1/2) (exp.f64 (-.f64 (neg.f64 z) 13/2)))))) | |
| 4.1b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (/.f64 (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 (fma.f64 (/.f64 -3147848041806007/2500000000000 (fma.f64 z z -1)) (-.f64 z 1) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 6765203681218851/10000000000000 z))) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))) (-.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))) | |
| 4.4b | (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 (PI.f64) 2))) 3) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))) | |
| 4.0b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (/.f64 (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))) (-.f64 9999999999998099/10000000000000000 (fma.f64 (sqrt.f64 (/.f64 6765203681218851/10000000000000 z)) (sqrt.f64 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))) | |
| 3.7b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 1 (/.f64 (exp.f64 (+.f64 z 13/2)) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)))))) | |
| 59.9b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 2649225437432109/5000000000000 (*.f64 z z)) (/.f64 -883075145810703/5000000000000 z)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)))) | |
| 3.6b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (/.f64 (+.f64 999999999999429700000000108414029999993130164299/1000000000000000000000000000000000000000000000000 (pow.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) 3)) (+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (-.f64 (*.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))))) (*.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (*.f64 (pow.f64 (+.f64 z 13/2) z) (*.f64 (pow.f64 (+.f64 z 13/2) -1/2) (exp.f64 (-.f64 (neg.f64 z) 13/2)))))) | |
| 3.7b | (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (exp.f64 (-.f64 -13/2 z))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8)))) | |
| 4.2b | (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 (+.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (*.f64 (*.f64 (-.f64 z -1) -2500000000000/3147848041806007) (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (*.f64 z z))))) (*.f64 (*.f64 (-.f64 z -1) -2500000000000/3147848041806007) (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8)))) | |
| 4.6b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (exp.f64 (log.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (pow.f64 (E.f64) (+.f64 z 13/2))))) | |
| 3.9b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (exp.f64 z) (exp.f64 13/2))))) | |
| ✓ | 3.7b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))) |
| 3.9b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (exp.f64 (-.f64 (*.f64 (+.f64 z -1/2) (log.f64 (+.f64 z 13/2))) (+.f64 z 13/2))))) | |
| 4.4b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (/.f64 (-.f64 (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))) (/.f64 59493983178131529437839794393961/100000000000000000000000000 (pow.f64 (+.f64 z 2) 2))) (-.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (pow.f64 (E.f64) (+.f64 z 13/2))))) |
Compiled 23698 to 19941 computations (15.9% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 1.0b | (pow.f64 (*.f64 (PI.f64) 2) 1/6) |
| 1.0b | (cbrt.f64 (*.f64 (PI.f64) 2)) | |
| 1.2b | (exp.f64 (+.f64 z 13/2)) | |
| 1.7b | (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))) |
Compiled 670 to 546 computations (18.5% saved)
| 1× | batch-egg-rewrite |
| 542× | pow1_binary64 |
| 530× | add-sqr-sqrt_binary64 |
| 507× | add-log-exp_binary64 |
| 507× | log1p-expm1-u_binary64 |
| 507× | expm1-log1p-u_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 8 |
| 1 | 129 | 8 |
| 2 | 1417 | 8 |
| 1× | node limit |
| Inputs |
|---|
(pow.f64 (*.f64 (PI.f64) 2) 1/6) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (pow.f64 (*.f64 (PI.f64) 2) 1/6)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (PI.f64) 2) 1/6) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (*.f64 (PI.f64) 2) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) 2) 1/6)) (cbrt.f64 (cbrt.f64 (*.f64 (PI.f64) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (*.f64 (PI.f64) 2))) (cbrt.f64 (pow.f64 (*.f64 (PI.f64) 2) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (PI.f64) 1/6) (pow.f64 2 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 2 1/6) (pow.f64 (PI.f64) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (PI.f64) 2) 1/12) (pow.f64 (*.f64 (PI.f64) 2) 1/12))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/6) (pow.f64 (*.f64 (PI.f64) 2) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 2)) 2) 1/6) (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 2)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) 1/6) (pow.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (cbrt.f64 (*.f64 (PI.f64) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (*.f64 (PI.f64) 2) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (*.f64 (PI.f64) 2) 1/6) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (*.f64 (PI.f64) 2) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (*.f64 (PI.f64) 2) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 1/6 (log.f64 (*.f64 (PI.f64) 2)))))))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 0 | 0 |
| 1× | saturated |
| Inputs |
|---|
| Outputs |
|---|
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.3b | (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) |
| ✓ | 0.5b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 -294358381936901/5000000000000 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)))) |
| 1.0b | (sqrt.f64 (*.f64 (PI.f64) 2)) | |
| 1.0b | (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) |
Compiled 238 to 201 computations (15.5% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | z | @ | inf | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 -294358381936901/5000000000000 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)))) |
| 2.0ms | z | @ | 0 | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 -294358381936901/5000000000000 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)))) |
| 2.0ms | z | @ | -inf | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 -294358381936901/5000000000000 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)))) |
| 1.0ms | z | @ | inf | (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) |
| 1.0ms | z | @ | 0 | (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) |
| 1× | batch-egg-rewrite |
| 436× | add-sqr-sqrt_binary64 |
| 415× | add-log-exp_binary64 |
| 414× | add-exp-log_binary64 |
| 414× | log1p-expm1-u_binary64 |
| 414× | expm1-log1p-u_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 36 | 63 |
| 1 | 868 | 63 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 -294358381936901/5000000000000 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)))) |
(/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 -578716763873803901/10000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 -578716763873803901/10000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 -578716763873803901/10000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 -578716763873803901/10000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 -578716763873803901/10000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 -578716763873803901/10000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 -578716763873803901/10000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 -578716763873803901/10000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 -578716763873803901/10000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)))))))))) |
((#(struct:change #<rule egg-rr> (2) ((x *.f64 2496092394504893/250000000000000000000 (/.f64 1 (+.f64 z 6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6))) (cbrt.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (cbrt.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6))) (sqrt.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (*.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))))))) |
| 1× | egg-herbie |
| 733× | associate-/r/_binary64 |
| 518× | associate-/l/_binary64 |
| 431× | fma-def_binary64 |
| 279× | distribute-lft-out_binary64 |
| 254× | associate-*l*_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 99 | 924 |
| 1 | 273 | 880 |
| 2 | 869 | 823 |
| 3 | 3932 | 674 |
| 4 | 6758 | 674 |
| 5 | 7892 | 674 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -28755590378125365543517613/525000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (exp.f64 13/2)) (sqrt.f64 (PI.f64)))) |
(+.f64 (*.f64 -267413577079622897281123/344531250000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 z (sqrt.f64 2/13))) (exp.f64 13/2)) (sqrt.f64 (PI.f64)))) (*.f64 -28755590378125365543517613/525000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (exp.f64 13/2)) (sqrt.f64 (PI.f64))))) |
(+.f64 (*.f64 -267413577079622897281123/344531250000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 z (sqrt.f64 2/13))) (exp.f64 13/2)) (sqrt.f64 (PI.f64)))) (+.f64 (*.f64 -28755590378125365543517613/525000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (exp.f64 13/2)) (sqrt.f64 (PI.f64)))) (*.f64 89979281735637421015992791/463050000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 z 2) (sqrt.f64 2/13))) (exp.f64 13/2)) (sqrt.f64 (PI.f64)))))) |
(+.f64 (*.f64 -267413577079622897281123/344531250000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 z (sqrt.f64 2/13))) (exp.f64 13/2)) (sqrt.f64 (PI.f64)))) (+.f64 (*.f64 -28755590378125365543517613/525000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (exp.f64 13/2)) (sqrt.f64 (PI.f64)))) (+.f64 (*.f64 -472930180101341472286462573/9724050000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 z 3) (sqrt.f64 2/13))) (exp.f64 13/2)) (sqrt.f64 (PI.f64)))) (*.f64 89979281735637421015992791/463050000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 z 2) (sqrt.f64 2/13))) (exp.f64 13/2)) (sqrt.f64 (PI.f64))))))) |
(*.f64 -578716763873803901/10000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (exp.f64 13/2)) (sqrt.f64 (PI.f64)))) |
(+.f64 (*.f64 -578716763873803901/10000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (exp.f64 13/2)) (sqrt.f64 (PI.f64)))) (*.f64 309219557958850910362579/25000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (*.f64 (exp.f64 13/2) z)) (sqrt.f64 (PI.f64))))) |
(+.f64 (*.f64 -578716763873803901/10000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (exp.f64 13/2)) (sqrt.f64 (PI.f64)))) (+.f64 (*.f64 309219557958850910362579/25000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (*.f64 (exp.f64 13/2) z)) (sqrt.f64 (PI.f64)))) (*.f64 -1233414464964485053048753/25000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (*.f64 (exp.f64 13/2) (pow.f64 z 2))) (sqrt.f64 (PI.f64)))))) |
(+.f64 (*.f64 -578716763873803901/10000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (exp.f64 13/2)) (sqrt.f64 (PI.f64)))) (+.f64 (*.f64 309219557958850910362579/25000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (*.f64 (exp.f64 13/2) z)) (sqrt.f64 (PI.f64)))) (+.f64 (*.f64 -1233414464964485053048753/25000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (*.f64 (exp.f64 13/2) (pow.f64 z 2))) (sqrt.f64 (PI.f64)))) (*.f64 4916339547306317198405471/25000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (*.f64 (exp.f64 13/2) (pow.f64 z 3))) (sqrt.f64 (PI.f64))))))) |
(*.f64 -578716763873803901/10000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (exp.f64 13/2)) (sqrt.f64 (PI.f64)))) |
(+.f64 (*.f64 -578716763873803901/10000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (exp.f64 13/2)) (sqrt.f64 (PI.f64)))) (*.f64 309219557958850910362579/25000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (*.f64 (exp.f64 13/2) z)) (sqrt.f64 (PI.f64))))) |
(+.f64 (*.f64 -578716763873803901/10000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (exp.f64 13/2)) (sqrt.f64 (PI.f64)))) (+.f64 (*.f64 309219557958850910362579/25000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (*.f64 (exp.f64 13/2) z)) (sqrt.f64 (PI.f64)))) (*.f64 -1233414464964485053048753/25000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (*.f64 (exp.f64 13/2) (pow.f64 z 2))) (sqrt.f64 (PI.f64)))))) |
(+.f64 (*.f64 -578716763873803901/10000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (exp.f64 13/2)) (sqrt.f64 (PI.f64)))) (+.f64 (*.f64 309219557958850910362579/25000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (*.f64 (exp.f64 13/2) z)) (sqrt.f64 (PI.f64)))) (+.f64 (*.f64 -1233414464964485053048753/25000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (*.f64 (exp.f64 13/2) (pow.f64 z 2))) (sqrt.f64 (PI.f64)))) (*.f64 4916339547306317198405471/25000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (*.f64 (exp.f64 13/2) (pow.f64 z 3))) (sqrt.f64 (PI.f64))))))) |
2496092394504893/1500000000000000000000 |
(+.f64 2496092394504893/1500000000000000000000 (*.f64 -2496092394504893/9000000000000000000000 z)) |
(+.f64 2496092394504893/1500000000000000000000 (+.f64 (*.f64 -2496092394504893/9000000000000000000000 z) (*.f64 2496092394504893/54000000000000000000000 (pow.f64 z 2)))) |
(+.f64 2496092394504893/1500000000000000000000 (+.f64 (*.f64 -2496092394504893/9000000000000000000000 z) (+.f64 (*.f64 -2496092394504893/324000000000000000000000 (pow.f64 z 3)) (*.f64 2496092394504893/54000000000000000000000 (pow.f64 z 2))))) |
(/.f64 2496092394504893/250000000000000000000 z) |
(-.f64 (*.f64 2496092394504893/250000000000000000000 (/.f64 1 z)) (*.f64 7488277183514679/125000000000000000000 (/.f64 1 (pow.f64 z 2)))) |
(-.f64 (+.f64 (*.f64 22464831550544037/62500000000000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 2496092394504893/250000000000000000000 (/.f64 1 z))) (*.f64 7488277183514679/125000000000000000000 (/.f64 1 (pow.f64 z 2)))) |
(-.f64 (+.f64 (*.f64 22464831550544037/62500000000000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 2496092394504893/250000000000000000000 (/.f64 1 z))) (+.f64 (*.f64 7488277183514679/125000000000000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 67394494651632111/31250000000000000000 (/.f64 1 (pow.f64 z 4))))) |
(/.f64 2496092394504893/250000000000000000000 z) |
(-.f64 (*.f64 2496092394504893/250000000000000000000 (/.f64 1 z)) (*.f64 7488277183514679/125000000000000000000 (/.f64 1 (pow.f64 z 2)))) |
(-.f64 (+.f64 (*.f64 22464831550544037/62500000000000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 2496092394504893/250000000000000000000 (/.f64 1 z))) (*.f64 7488277183514679/125000000000000000000 (/.f64 1 (pow.f64 z 2)))) |
(-.f64 (+.f64 (*.f64 22464831550544037/62500000000000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 2496092394504893/250000000000000000000 (/.f64 1 z))) (+.f64 (*.f64 7488277183514679/125000000000000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 67394494651632111/31250000000000000000 (/.f64 1 (pow.f64 z 4))))) |
| Outputs |
|---|
(*.f64 -28755590378125365543517613/525000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (exp.f64 13/2)) (sqrt.f64 (PI.f64)))) |
(*.f64 -28755590378125365543517613/525000000000000000000000 (/.f64 (*.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (sqrt.f64 (PI.f64))) (exp.f64 13/2))) |
(*.f64 -28755590378125365543517613/525000000000000000000000 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 2/13) (sqrt.f64 (PI.f64)))) (exp.f64 13/2))) |
(*.f64 -28755590378125365543517613/525000000000000000000000 (*.f64 (/.f64 (sqrt.f64 2) (exp.f64 13/2)) (*.f64 (sqrt.f64 2/13) (sqrt.f64 (PI.f64))))) |
(*.f64 (/.f64 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 -28755590378125365543517613/525000000000000000000000 (sqrt.f64 2))) (exp.f64 13/2)) (sqrt.f64 2/13)) |
(+.f64 (*.f64 -267413577079622897281123/344531250000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 z (sqrt.f64 2/13))) (exp.f64 13/2)) (sqrt.f64 (PI.f64)))) (*.f64 -28755590378125365543517613/525000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (exp.f64 13/2)) (sqrt.f64 (PI.f64))))) |
(fma.f64 -267413577079622897281123/344531250000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 2) (/.f64 (exp.f64 13/2) (*.f64 (sqrt.f64 2/13) z)))) (*.f64 -28755590378125365543517613/525000000000000000000000 (/.f64 (*.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (sqrt.f64 (PI.f64))) (exp.f64 13/2)))) |
(*.f64 (sqrt.f64 (PI.f64)) (+.f64 (*.f64 -28755590378125365543517613/525000000000000000000000 (/.f64 (sqrt.f64 2) (/.f64 (exp.f64 13/2) (sqrt.f64 2/13)))) (*.f64 -267413577079622897281123/344531250000000000000000 (/.f64 (*.f64 (sqrt.f64 2/13) z) (/.f64 (exp.f64 13/2) (sqrt.f64 2)))))) |
(*.f64 (sqrt.f64 (PI.f64)) (fma.f64 -267413577079622897281123/344531250000000000000000 (*.f64 (*.f64 (sqrt.f64 2/13) z) (/.f64 (sqrt.f64 2) (exp.f64 13/2))) (/.f64 (*.f64 (sqrt.f64 2/13) -28755590378125365543517613/525000000000000000000000) (/.f64 (exp.f64 13/2) (sqrt.f64 2))))) |
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (/.f64 (sqrt.f64 2) (exp.f64 13/2)) (+.f64 (*.f64 (sqrt.f64 2/13) -28755590378125365543517613/525000000000000000000000) (*.f64 (*.f64 (sqrt.f64 2/13) z) -267413577079622897281123/344531250000000000000000)))) |
(+.f64 (*.f64 -267413577079622897281123/344531250000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 z (sqrt.f64 2/13))) (exp.f64 13/2)) (sqrt.f64 (PI.f64)))) (+.f64 (*.f64 -28755590378125365543517613/525000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (exp.f64 13/2)) (sqrt.f64 (PI.f64)))) (*.f64 89979281735637421015992791/463050000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 z 2) (sqrt.f64 2/13))) (exp.f64 13/2)) (sqrt.f64 (PI.f64)))))) |
(fma.f64 -267413577079622897281123/344531250000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 2) (/.f64 (exp.f64 13/2) (*.f64 (sqrt.f64 2/13) z)))) (fma.f64 -28755590378125365543517613/525000000000000000000000 (/.f64 (*.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (sqrt.f64 (PI.f64))) (exp.f64 13/2)) (*.f64 89979281735637421015992791/463050000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 2) (/.f64 (exp.f64 13/2) (*.f64 (sqrt.f64 2/13) (*.f64 z z)))))))) |
(fma.f64 -267413577079622897281123/344531250000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (sqrt.f64 2/13) z) (/.f64 (exp.f64 13/2) (sqrt.f64 2)))) (*.f64 (sqrt.f64 (PI.f64)) (+.f64 (*.f64 89979281735637421015992791/463050000000000000000000000 (/.f64 (sqrt.f64 2) (/.f64 (exp.f64 13/2) (*.f64 (sqrt.f64 2/13) (*.f64 z z))))) (*.f64 -28755590378125365543517613/525000000000000000000000 (/.f64 (sqrt.f64 2) (/.f64 (exp.f64 13/2) (sqrt.f64 2/13))))))) |
(*.f64 (sqrt.f64 (PI.f64)) (+.f64 (*.f64 -267413577079622897281123/344531250000000000000000 (*.f64 (*.f64 (sqrt.f64 2/13) z) (/.f64 (sqrt.f64 2) (exp.f64 13/2)))) (fma.f64 -28755590378125365543517613/525000000000000000000000 (*.f64 (sqrt.f64 2/13) (/.f64 (sqrt.f64 2) (exp.f64 13/2))) (*.f64 (/.f64 (*.f64 (sqrt.f64 2) 89979281735637421015992791/463050000000000000000000000) (exp.f64 13/2)) (*.f64 (sqrt.f64 2/13) (*.f64 z z)))))) |
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(+.f64 (*.f64 (sqrt.f64 (PI.f64)) (+.f64 (/.f64 (*.f64 -578716763873803901/10000000000000000 (sqrt.f64 2)) (/.f64 (exp.f64 13/2) (sqrt.f64 2/13))) (*.f64 309219557958850910362579/25000000000000000000000 (*.f64 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) (/.f64 (sqrt.f64 2) z))))) (*.f64 (sqrt.f64 (PI.f64)) (+.f64 (*.f64 -1233414464964485053048753/25000000000000000000000 (/.f64 (sqrt.f64 2) (/.f64 (*.f64 z z) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))))) (*.f64 4916339547306317198405471/25000000000000000000000 (/.f64 (sqrt.f64 2) (/.f64 (pow.f64 z 3) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)))))))) |
(*.f64 (sqrt.f64 (PI.f64)) (+.f64 (fma.f64 (*.f64 (sqrt.f64 2/13) (/.f64 (sqrt.f64 2) (exp.f64 13/2))) -578716763873803901/10000000000000000 (/.f64 (/.f64 (*.f64 309219557958850910362579/25000000000000000000000 (sqrt.f64 2/13)) (/.f64 (exp.f64 13/2) (sqrt.f64 2))) z)) (fma.f64 -1233414464964485053048753/25000000000000000000000 (*.f64 (/.f64 (sqrt.f64 2/13) (*.f64 (exp.f64 13/2) (*.f64 z z))) (sqrt.f64 2)) (/.f64 (/.f64 (*.f64 4916339547306317198405471/25000000000000000000000 (sqrt.f64 2/13)) (/.f64 (exp.f64 13/2) (sqrt.f64 2))) (pow.f64 z 3))))) |
(*.f64 (sqrt.f64 (PI.f64)) (+.f64 (*.f64 (*.f64 (sqrt.f64 2/13) (/.f64 (sqrt.f64 2) (exp.f64 13/2))) (+.f64 (/.f64 309219557958850910362579/25000000000000000000000 z) -578716763873803901/10000000000000000)) (*.f64 (*.f64 (sqrt.f64 2/13) (/.f64 (sqrt.f64 2) (*.f64 (exp.f64 13/2) (*.f64 z z)))) (+.f64 -1233414464964485053048753/25000000000000000000000 (/.f64 4916339547306317198405471/25000000000000000000000 z))))) |
(*.f64 (sqrt.f64 (PI.f64)) (+.f64 (*.f64 (*.f64 (sqrt.f64 2/13) (/.f64 (sqrt.f64 2) (exp.f64 13/2))) (+.f64 -578716763873803901/10000000000000000 (/.f64 309219557958850910362579/25000000000000000000000 z))) (*.f64 (*.f64 (sqrt.f64 2/13) (/.f64 (sqrt.f64 2) (*.f64 (exp.f64 13/2) (*.f64 z z)))) (+.f64 -1233414464964485053048753/25000000000000000000000 (/.f64 4916339547306317198405471/25000000000000000000000 z))))) |
2496092394504893/1500000000000000000000 |
(+.f64 2496092394504893/1500000000000000000000 (*.f64 -2496092394504893/9000000000000000000000 z)) |
(+.f64 2496092394504893/1500000000000000000000 (*.f64 z -2496092394504893/9000000000000000000000)) |
(fma.f64 z -2496092394504893/9000000000000000000000 2496092394504893/1500000000000000000000) |
(+.f64 2496092394504893/1500000000000000000000 (+.f64 (*.f64 -2496092394504893/9000000000000000000000 z) (*.f64 2496092394504893/54000000000000000000000 (pow.f64 z 2)))) |
(+.f64 2496092394504893/1500000000000000000000 (fma.f64 -2496092394504893/9000000000000000000000 z (*.f64 (*.f64 z z) 2496092394504893/54000000000000000000000))) |
(+.f64 2496092394504893/1500000000000000000000 (fma.f64 z -2496092394504893/9000000000000000000000 (*.f64 z (*.f64 z 2496092394504893/54000000000000000000000)))) |
(fma.f64 z -2496092394504893/9000000000000000000000 (fma.f64 z (*.f64 z 2496092394504893/54000000000000000000000) 2496092394504893/1500000000000000000000)) |
(+.f64 2496092394504893/1500000000000000000000 (+.f64 (*.f64 -2496092394504893/9000000000000000000000 z) (+.f64 (*.f64 -2496092394504893/324000000000000000000000 (pow.f64 z 3)) (*.f64 2496092394504893/54000000000000000000000 (pow.f64 z 2))))) |
(+.f64 2496092394504893/1500000000000000000000 (fma.f64 -2496092394504893/9000000000000000000000 z (fma.f64 -2496092394504893/324000000000000000000000 (pow.f64 z 3) (*.f64 (*.f64 z z) 2496092394504893/54000000000000000000000)))) |
(+.f64 2496092394504893/1500000000000000000000 (fma.f64 z -2496092394504893/9000000000000000000000 (fma.f64 (*.f64 z z) 2496092394504893/54000000000000000000000 (*.f64 (pow.f64 z 3) -2496092394504893/324000000000000000000000)))) |
(+.f64 2496092394504893/1500000000000000000000 (fma.f64 z -2496092394504893/9000000000000000000000 (*.f64 (*.f64 z z) (+.f64 2496092394504893/54000000000000000000000 (*.f64 z -2496092394504893/324000000000000000000000))))) |
(+.f64 2496092394504893/1500000000000000000000 (*.f64 z (+.f64 (*.f64 z (+.f64 2496092394504893/54000000000000000000000 (*.f64 z -2496092394504893/324000000000000000000000))) -2496092394504893/9000000000000000000000))) |
(+.f64 2496092394504893/1500000000000000000000 (*.f64 z (+.f64 -2496092394504893/9000000000000000000000 (*.f64 z (+.f64 2496092394504893/54000000000000000000000 (*.f64 z -2496092394504893/324000000000000000000000)))))) |
(/.f64 2496092394504893/250000000000000000000 z) |
(-.f64 (*.f64 2496092394504893/250000000000000000000 (/.f64 1 z)) (*.f64 7488277183514679/125000000000000000000 (/.f64 1 (pow.f64 z 2)))) |
(-.f64 (/.f64 2496092394504893/250000000000000000000 z) (/.f64 7488277183514679/125000000000000000000 (*.f64 z z))) |
(+.f64 (/.f64 2496092394504893/250000000000000000000 z) (/.f64 -7488277183514679/125000000000000000000 (*.f64 z z))) |
(-.f64 (+.f64 (*.f64 22464831550544037/62500000000000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 2496092394504893/250000000000000000000 (/.f64 1 z))) (*.f64 7488277183514679/125000000000000000000 (/.f64 1 (pow.f64 z 2)))) |
(+.f64 (/.f64 22464831550544037/62500000000000000000 (pow.f64 z 3)) (-.f64 (/.f64 2496092394504893/250000000000000000000 z) (/.f64 7488277183514679/125000000000000000000 (*.f64 z z)))) |
(+.f64 (/.f64 2496092394504893/250000000000000000000 z) (-.f64 (/.f64 22464831550544037/62500000000000000000 (pow.f64 z 3)) (/.f64 7488277183514679/125000000000000000000 (*.f64 z z)))) |
(+.f64 (/.f64 2496092394504893/250000000000000000000 z) (+.f64 (/.f64 22464831550544037/62500000000000000000 (pow.f64 z 3)) (/.f64 -7488277183514679/125000000000000000000 (*.f64 z z)))) |
(-.f64 (+.f64 (*.f64 22464831550544037/62500000000000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 2496092394504893/250000000000000000000 (/.f64 1 z))) (+.f64 (*.f64 7488277183514679/125000000000000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 67394494651632111/31250000000000000000 (/.f64 1 (pow.f64 z 4))))) |
(-.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 z) (/.f64 22464831550544037/62500000000000000000 (pow.f64 z 3))) (+.f64 (/.f64 7488277183514679/125000000000000000000 (*.f64 z z)) (/.f64 67394494651632111/31250000000000000000 (pow.f64 z 4)))) |
(+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 z) (/.f64 22464831550544037/62500000000000000000 (pow.f64 z 3))) (-.f64 (/.f64 -7488277183514679/125000000000000000000 (*.f64 z z)) (/.f64 67394494651632111/31250000000000000000 (pow.f64 z 4)))) |
(+.f64 (-.f64 (/.f64 2496092394504893/250000000000000000000 z) (/.f64 7488277183514679/125000000000000000000 (*.f64 z z))) (-.f64 (/.f64 22464831550544037/62500000000000000000 (pow.f64 z 3)) (/.f64 67394494651632111/31250000000000000000 (pow.f64 z 4)))) |
(+.f64 (/.f64 2496092394504893/250000000000000000000 z) (+.f64 (/.f64 22464831550544037/62500000000000000000 (pow.f64 z 3)) (+.f64 (/.f64 -7488277183514679/125000000000000000000 (*.f64 z z)) (/.f64 -67394494651632111/31250000000000000000 (pow.f64 z 4))))) |
(/.f64 2496092394504893/250000000000000000000 z) |
(-.f64 (*.f64 2496092394504893/250000000000000000000 (/.f64 1 z)) (*.f64 7488277183514679/125000000000000000000 (/.f64 1 (pow.f64 z 2)))) |
(-.f64 (/.f64 2496092394504893/250000000000000000000 z) (/.f64 7488277183514679/125000000000000000000 (*.f64 z z))) |
(+.f64 (/.f64 2496092394504893/250000000000000000000 z) (/.f64 -7488277183514679/125000000000000000000 (*.f64 z z))) |
(-.f64 (+.f64 (*.f64 22464831550544037/62500000000000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 2496092394504893/250000000000000000000 (/.f64 1 z))) (*.f64 7488277183514679/125000000000000000000 (/.f64 1 (pow.f64 z 2)))) |
(+.f64 (/.f64 22464831550544037/62500000000000000000 (pow.f64 z 3)) (-.f64 (/.f64 2496092394504893/250000000000000000000 z) (/.f64 7488277183514679/125000000000000000000 (*.f64 z z)))) |
(+.f64 (/.f64 2496092394504893/250000000000000000000 z) (-.f64 (/.f64 22464831550544037/62500000000000000000 (pow.f64 z 3)) (/.f64 7488277183514679/125000000000000000000 (*.f64 z z)))) |
(+.f64 (/.f64 2496092394504893/250000000000000000000 z) (+.f64 (/.f64 22464831550544037/62500000000000000000 (pow.f64 z 3)) (/.f64 -7488277183514679/125000000000000000000 (*.f64 z z)))) |
(-.f64 (+.f64 (*.f64 22464831550544037/62500000000000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 2496092394504893/250000000000000000000 (/.f64 1 z))) (+.f64 (*.f64 7488277183514679/125000000000000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 67394494651632111/31250000000000000000 (/.f64 1 (pow.f64 z 4))))) |
(-.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 z) (/.f64 22464831550544037/62500000000000000000 (pow.f64 z 3))) (+.f64 (/.f64 7488277183514679/125000000000000000000 (*.f64 z z)) (/.f64 67394494651632111/31250000000000000000 (pow.f64 z 4)))) |
(+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 z) (/.f64 22464831550544037/62500000000000000000 (pow.f64 z 3))) (-.f64 (/.f64 -7488277183514679/125000000000000000000 (*.f64 z z)) (/.f64 67394494651632111/31250000000000000000 (pow.f64 z 4)))) |
(+.f64 (-.f64 (/.f64 2496092394504893/250000000000000000000 z) (/.f64 7488277183514679/125000000000000000000 (*.f64 z z))) (-.f64 (/.f64 22464831550544037/62500000000000000000 (pow.f64 z 3)) (/.f64 67394494651632111/31250000000000000000 (pow.f64 z 4)))) |
(+.f64 (/.f64 2496092394504893/250000000000000000000 z) (+.f64 (/.f64 22464831550544037/62500000000000000000 (pow.f64 z 3)) (+.f64 (/.f64 -7488277183514679/125000000000000000000 (*.f64 z z)) (/.f64 -67394494651632111/31250000000000000000 (pow.f64 z 4))))) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.7b | (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) | |
| 0.8b | (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) | |
| 1.0b | (sqrt.f64 (*.f64 (PI.f64) 2)) | |
| ✓ | 1.7b | (*.f64 (/.f64 1 (exp.f64 z)) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 13/2))) |
Compiled 424 to 340 computations (19.8% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | z | @ | inf | (*.f64 (/.f64 1 (exp.f64 z)) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 13/2))) |
| 2.0ms | z | @ | -inf | (*.f64 (/.f64 1 (exp.f64 z)) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 13/2))) |
| 1.0ms | z | @ | 0 | (*.f64 (/.f64 1 (exp.f64 z)) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 13/2))) |
| 1× | batch-egg-rewrite |
| 682× | log-prod_binary64 |
| 374× | pow2_binary64 |
| 257× | pow1/3_binary64 |
| 253× | expm1-udef_binary64 |
| 253× | log1p-udef_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 20 |
| 1 | 293 | 18 |
| 2 | 3996 | 18 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (/.f64 1 (exp.f64 z)) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 13/2))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 (exp.f64 z) (/.f64 (exp.f64 13/2) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 (/.f64 (exp.f64 13/2) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))) (exp.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (exp.f64 (+.f64 z 13/2)) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (exp.f64 z) (*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 -13/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (exp.f64 13/2) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (exp.f64 (neg.f64 z)) (/.f64 (exp.f64 13/2) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (/.f64 (exp.f64 z) (exp.f64 -13/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 -13/2)) (exp.f64 z))))) (#(struct:change #<rule 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(+.f64 z 13/2)) (pow.f64 (+.f64 z 13/2) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))) (neg.f64 (exp.f64 (+.f64 z 13/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))) (*.f64 (neg.f64 (exp.f64 z)) (exp.f64 13/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))) (*.f64 (exp.f64 z) (neg.f64 (exp.f64 13/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))) (/.f64 (exp.f64 (+.f64 z 13/2)) (sqrt.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 z)) (exp.f64 13/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 -13/2))) (neg.f64 (exp.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 z))) (neg.f64 (exp.f64 13/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))) 1) (*.f64 (neg.f64 (exp.f64 13/2)) (exp.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (neg.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)))) (*.f64 (neg.f64 (exp.f64 z)) (neg.f64 (exp.f64 13/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) -1) (*.f64 (exp.f64 13/2) (neg.f64 (exp.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))) -1) (*.f64 (neg.f64 (exp.f64 13/2)) (neg.f64 (exp.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 -13/2)) (sqrt.f64 (exp.f64 z))) (sqrt.f64 (exp.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 -13/2)) 1) (exp.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 -13/2)) (pow.f64 (cbrt.f64 (exp.f64 z)) 2)) (cbrt.f64 (exp.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 z)) 1) (exp.f64 13/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 z)) (exp.f64 13/3)) (exp.f64 13/6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 z)) (exp.f64 13/4)) (exp.f64 13/4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 -13/2))) (neg.f64 (exp.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))) (exp.f64 (neg.f64 z))) (neg.f64 (exp.f64 13/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (exp.f64 (neg.f64 z)) (neg.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)))) (neg.f64 (exp.f64 13/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 -13/2)) -1) (neg.f64 (exp.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 -13/2)) 3) (pow.f64 (exp.f64 z) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (exp.f64 (neg.f64 z)) 3) (pow.f64 (*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 -13/2)) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 -13/2)) 3) (pow.f64 (exp.f64 (neg.f64 z)) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (exp.f64 z) (/.f64 (exp.f64 13/2) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 (exp.f64 13/2) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))) (exp.f64 z)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (exp.f64 (+.f64 z 13/2)) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (exp.f64 z) (*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 -13/2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (exp.f64 13/2) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 z))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 -13/2)) 3) (pow.f64 (exp.f64 z) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (exp.f64 (neg.f64 z)) 3) (pow.f64 (*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 -13/2)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 -13/2)) 3) (pow.f64 (exp.f64 (neg.f64 z)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (fma.f64 (+.f64 z -1/2) (log.f64 (+.f64 z 13/2)) -13/2) z))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 (fma.f64 (+.f64 z -1/2) (log.f64 (+.f64 z 13/2)) -13/2) z) 1)))))) |
| 1× | egg-herbie |
| 517× | associate--r+_binary64 |
| 432× | associate-+l-_binary64 |
| 425× | associate--l+_binary64 |
| 352× | fma-neg_binary64 |
| 298× | cancel-sign-sub-inv_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 68 | 547 |
| 1 | 198 | 535 |
| 2 | 617 | 521 |
| 3 | 2952 | 447 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) |
(+.f64 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) (*.f64 (-.f64 (/.f64 (*.f64 (-.f64 (log.f64 13/2) 1/13) (sqrt.f64 2/13)) (exp.f64 13/2)) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) z)) |
(+.f64 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) (+.f64 (*.f64 (-.f64 (+.f64 (/.f64 (*.f64 (+.f64 27/169 (*.f64 1/2 (pow.f64 (-.f64 (log.f64 13/2) 1/13) 2))) (sqrt.f64 2/13)) (exp.f64 13/2)) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) (+.f64 (*.f64 1/2 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) (/.f64 (*.f64 (-.f64 (log.f64 13/2) 1/13) (sqrt.f64 2/13)) (exp.f64 13/2)))) (pow.f64 z 2)) (*.f64 (-.f64 (/.f64 (*.f64 (-.f64 (log.f64 13/2) 1/13) (sqrt.f64 2/13)) (exp.f64 13/2)) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) z))) |
(+.f64 (*.f64 (-.f64 (+.f64 (*.f64 1/2 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) (+.f64 (/.f64 (*.f64 (-.f64 (log.f64 13/2) 1/13) (sqrt.f64 2/13)) (exp.f64 13/2)) (/.f64 (*.f64 (-.f64 (+.f64 (*.f64 27/169 (-.f64 (log.f64 13/2) 1/13)) (*.f64 1/6 (pow.f64 (-.f64 (log.f64 13/2) 1/13) 3))) 82/6591) (sqrt.f64 2/13)) (exp.f64 13/2)))) (+.f64 (*.f64 1/2 (-.f64 (/.f64 (*.f64 (-.f64 (log.f64 13/2) 1/13) (sqrt.f64 2/13)) (exp.f64 13/2)) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)))) (+.f64 (/.f64 (*.f64 (+.f64 27/169 (*.f64 1/2 (pow.f64 (-.f64 (log.f64 13/2) 1/13) 2))) (sqrt.f64 2/13)) (exp.f64 13/2)) (+.f64 (*.f64 1/6 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)))))) (pow.f64 z 3)) (+.f64 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) (+.f64 (*.f64 (-.f64 (+.f64 (/.f64 (*.f64 (+.f64 27/169 (*.f64 1/2 (pow.f64 (-.f64 (log.f64 13/2) 1/13) 2))) (sqrt.f64 2/13)) (exp.f64 13/2)) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) (+.f64 (*.f64 1/2 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) (/.f64 (*.f64 (-.f64 (log.f64 13/2) 1/13) (sqrt.f64 2/13)) (exp.f64 13/2)))) (pow.f64 z 2)) (*.f64 (-.f64 (/.f64 (*.f64 (-.f64 (log.f64 13/2) 1/13) (sqrt.f64 2/13)) (exp.f64 13/2)) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) z)))) |
(/.f64 (pow.f64 (+.f64 13/2 z) (-.f64 z 1/2)) (*.f64 (exp.f64 z) (exp.f64 13/2))) |
(/.f64 (pow.f64 (+.f64 13/2 z) (-.f64 z 1/2)) (*.f64 (exp.f64 z) (exp.f64 13/2))) |
(/.f64 (pow.f64 (+.f64 13/2 z) (-.f64 z 1/2)) (*.f64 (exp.f64 z) (exp.f64 13/2))) |
(/.f64 (pow.f64 (+.f64 13/2 z) (-.f64 z 1/2)) (*.f64 (exp.f64 z) (exp.f64 13/2))) |
(/.f64 (exp.f64 (*.f64 -1 (*.f64 (log.f64 (-.f64 13/2 (*.f64 -1 z))) (+.f64 (*.f64 -1 z) 1/2)))) (*.f64 (exp.f64 13/2) (exp.f64 z))) |
(/.f64 (exp.f64 (*.f64 -1 (*.f64 (log.f64 (-.f64 13/2 (*.f64 -1 z))) (+.f64 (*.f64 -1 z) 1/2)))) (*.f64 (exp.f64 13/2) (exp.f64 z))) |
(/.f64 (exp.f64 (*.f64 -1 (*.f64 (log.f64 (-.f64 13/2 (*.f64 -1 z))) (+.f64 (*.f64 -1 z) 1/2)))) (*.f64 (exp.f64 13/2) (exp.f64 z))) |
(/.f64 (exp.f64 (*.f64 -1 (*.f64 (log.f64 (-.f64 13/2 (*.f64 -1 z))) (+.f64 (*.f64 -1 z) 1/2)))) (*.f64 (exp.f64 13/2) (exp.f64 z))) |
| Outputs |
|---|
(/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) |
(+.f64 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) (*.f64 (-.f64 (/.f64 (*.f64 (-.f64 (log.f64 13/2) 1/13) (sqrt.f64 2/13)) (exp.f64 13/2)) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) z)) |
(+.f64 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) (*.f64 (-.f64 (/.f64 (+.f64 (log.f64 13/2) -1/13) (/.f64 (exp.f64 13/2) (sqrt.f64 2/13))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) z)) |
(fma.f64 (-.f64 (*.f64 (/.f64 (+.f64 (log.f64 13/2) -1/13) (exp.f64 13/2)) (sqrt.f64 2/13)) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) z (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) |
(fma.f64 (-.f64 (*.f64 (sqrt.f64 2/13) (/.f64 (+.f64 (log.f64 13/2) -1/13) (exp.f64 13/2))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) z (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) |
(fma.f64 (*.f64 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) (+.f64 (+.f64 (log.f64 13/2) -1/13) -1)) z (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) |
(+.f64 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) (+.f64 (*.f64 (-.f64 (+.f64 (/.f64 (*.f64 (+.f64 27/169 (*.f64 1/2 (pow.f64 (-.f64 (log.f64 13/2) 1/13) 2))) (sqrt.f64 2/13)) (exp.f64 13/2)) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) (+.f64 (*.f64 1/2 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) (/.f64 (*.f64 (-.f64 (log.f64 13/2) 1/13) (sqrt.f64 2/13)) (exp.f64 13/2)))) (pow.f64 z 2)) (*.f64 (-.f64 (/.f64 (*.f64 (-.f64 (log.f64 13/2) 1/13) (sqrt.f64 2/13)) (exp.f64 13/2)) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) z))) |
(+.f64 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) (fma.f64 (+.f64 (/.f64 (+.f64 27/169 (*.f64 1/2 (pow.f64 (+.f64 (log.f64 13/2) -1/13) 2))) (/.f64 (exp.f64 13/2) (sqrt.f64 2/13))) (-.f64 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) (fma.f64 1/2 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) (/.f64 (+.f64 (log.f64 13/2) -1/13) (/.f64 (exp.f64 13/2) (sqrt.f64 2/13)))))) (*.f64 z z) (*.f64 (-.f64 (/.f64 (+.f64 (log.f64 13/2) -1/13) (/.f64 (exp.f64 13/2) (sqrt.f64 2/13))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) z))) |
(+.f64 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) (fma.f64 (-.f64 (*.f64 (/.f64 (+.f64 (log.f64 13/2) -1/13) (exp.f64 13/2)) (sqrt.f64 2/13)) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) z (*.f64 z (*.f64 z (+.f64 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) (-.f64 (/.f64 (fma.f64 1/2 (pow.f64 (+.f64 (log.f64 13/2) -1/13) 2) 27/169) (/.f64 (exp.f64 13/2) (sqrt.f64 2/13))) (fma.f64 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) 1/2 (*.f64 (/.f64 (+.f64 (log.f64 13/2) -1/13) (exp.f64 13/2)) (sqrt.f64 2/13))))))))) |
(fma.f64 (fma.f64 (/.f64 (fma.f64 1/2 (pow.f64 (+.f64 (log.f64 13/2) -1/13) 2) 27/169) (exp.f64 13/2)) (sqrt.f64 2/13) (-.f64 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) (fma.f64 (/.f64 (+.f64 (log.f64 13/2) -1/13) (exp.f64 13/2)) (sqrt.f64 2/13) (*.f64 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) 1/2)))) (*.f64 z z) (fma.f64 (-.f64 (*.f64 (sqrt.f64 2/13) (/.f64 (+.f64 (log.f64 13/2) -1/13) (exp.f64 13/2))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) z (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)))) |
(fma.f64 z (*.f64 z (+.f64 (/.f64 (sqrt.f64 2/13) (/.f64 (exp.f64 13/2) 1/2)) (*.f64 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) (-.f64 (fma.f64 1/2 (pow.f64 (+.f64 (log.f64 13/2) -1/13) 2) 27/169) (+.f64 (log.f64 13/2) -1/13))))) (fma.f64 (*.f64 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) (+.f64 (+.f64 (log.f64 13/2) -1/13) -1)) z (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)))) |
(+.f64 (*.f64 (-.f64 (+.f64 (*.f64 1/2 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) (+.f64 (/.f64 (*.f64 (-.f64 (log.f64 13/2) 1/13) (sqrt.f64 2/13)) (exp.f64 13/2)) (/.f64 (*.f64 (-.f64 (+.f64 (*.f64 27/169 (-.f64 (log.f64 13/2) 1/13)) (*.f64 1/6 (pow.f64 (-.f64 (log.f64 13/2) 1/13) 3))) 82/6591) (sqrt.f64 2/13)) (exp.f64 13/2)))) (+.f64 (*.f64 1/2 (-.f64 (/.f64 (*.f64 (-.f64 (log.f64 13/2) 1/13) (sqrt.f64 2/13)) (exp.f64 13/2)) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)))) (+.f64 (/.f64 (*.f64 (+.f64 27/169 (*.f64 1/2 (pow.f64 (-.f64 (log.f64 13/2) 1/13) 2))) (sqrt.f64 2/13)) (exp.f64 13/2)) (+.f64 (*.f64 1/6 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)))))) (pow.f64 z 3)) (+.f64 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) (+.f64 (*.f64 (-.f64 (+.f64 (/.f64 (*.f64 (+.f64 27/169 (*.f64 1/2 (pow.f64 (-.f64 (log.f64 13/2) 1/13) 2))) (sqrt.f64 2/13)) (exp.f64 13/2)) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) (+.f64 (*.f64 1/2 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) (/.f64 (*.f64 (-.f64 (log.f64 13/2) 1/13) (sqrt.f64 2/13)) (exp.f64 13/2)))) (pow.f64 z 2)) (*.f64 (-.f64 (/.f64 (*.f64 (-.f64 (log.f64 13/2) 1/13) (sqrt.f64 2/13)) (exp.f64 13/2)) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) z)))) |
(fma.f64 (-.f64 (+.f64 (fma.f64 1/2 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) (/.f64 (+.f64 (log.f64 13/2) -1/13) (/.f64 (exp.f64 13/2) (sqrt.f64 2/13)))) (/.f64 (+.f64 (fma.f64 27/169 (+.f64 (log.f64 13/2) -1/13) (*.f64 1/6 (pow.f64 (+.f64 (log.f64 13/2) -1/13) 3))) -82/6591) (/.f64 (exp.f64 13/2) (sqrt.f64 2/13)))) (fma.f64 1/2 (-.f64 (/.f64 (+.f64 (log.f64 13/2) -1/13) (/.f64 (exp.f64 13/2) (sqrt.f64 2/13))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) (+.f64 (/.f64 (+.f64 27/169 (*.f64 1/2 (pow.f64 (+.f64 (log.f64 13/2) -1/13) 2))) (/.f64 (exp.f64 13/2) (sqrt.f64 2/13))) (*.f64 7/6 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)))))) (pow.f64 z 3) (+.f64 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) (fma.f64 (+.f64 (/.f64 (+.f64 27/169 (*.f64 1/2 (pow.f64 (+.f64 (log.f64 13/2) -1/13) 2))) (/.f64 (exp.f64 13/2) (sqrt.f64 2/13))) (-.f64 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) (fma.f64 1/2 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) (/.f64 (+.f64 (log.f64 13/2) -1/13) (/.f64 (exp.f64 13/2) (sqrt.f64 2/13)))))) (*.f64 z z) (*.f64 (-.f64 (/.f64 (+.f64 (log.f64 13/2) -1/13) (/.f64 (exp.f64 13/2) (sqrt.f64 2/13))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) z)))) |
(+.f64 (fma.f64 (-.f64 (*.f64 (/.f64 (+.f64 (log.f64 13/2) -1/13) (exp.f64 13/2)) (sqrt.f64 2/13)) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) z (*.f64 z (*.f64 z (+.f64 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) (-.f64 (/.f64 (fma.f64 1/2 (pow.f64 (+.f64 (log.f64 13/2) -1/13) 2) 27/169) (/.f64 (exp.f64 13/2) (sqrt.f64 2/13))) (fma.f64 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) 1/2 (*.f64 (/.f64 (+.f64 (log.f64 13/2) -1/13) (exp.f64 13/2)) (sqrt.f64 2/13)))))))) (fma.f64 (+.f64 (fma.f64 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) 1/2 (*.f64 (/.f64 (+.f64 (log.f64 13/2) -1/13) (exp.f64 13/2)) (sqrt.f64 2/13))) (-.f64 (*.f64 (/.f64 (fma.f64 (+.f64 (log.f64 13/2) -1/13) 27/169 (fma.f64 1/6 (pow.f64 (+.f64 (log.f64 13/2) -1/13) 3) -82/6591)) (exp.f64 13/2)) (sqrt.f64 2/13)) (fma.f64 (-.f64 (*.f64 (/.f64 (+.f64 (log.f64 13/2) -1/13) (exp.f64 13/2)) (sqrt.f64 2/13)) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) 1/2 (fma.f64 7/6 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) (/.f64 (fma.f64 1/2 (pow.f64 (+.f64 (log.f64 13/2) -1/13) 2) 27/169) (/.f64 (exp.f64 13/2) (sqrt.f64 2/13))))))) (pow.f64 z 3) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)))) |
(fma.f64 (-.f64 (fma.f64 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) 1/2 (*.f64 (sqrt.f64 2/13) (+.f64 (/.f64 (+.f64 (log.f64 13/2) -1/13) (exp.f64 13/2)) (/.f64 (fma.f64 1/6 (pow.f64 (+.f64 (log.f64 13/2) -1/13) 3) (+.f64 (*.f64 (log.f64 13/2) 27/169) -163/6591)) (exp.f64 13/2))))) (fma.f64 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) 7/6 (fma.f64 (/.f64 (fma.f64 1/2 (pow.f64 (+.f64 (log.f64 13/2) -1/13) 2) 27/169) (exp.f64 13/2)) (sqrt.f64 2/13) (*.f64 (-.f64 (*.f64 (sqrt.f64 2/13) (/.f64 (+.f64 (log.f64 13/2) -1/13) (exp.f64 13/2))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) 1/2)))) (pow.f64 z 3) (fma.f64 (fma.f64 (/.f64 (fma.f64 1/2 (pow.f64 (+.f64 (log.f64 13/2) -1/13) 2) 27/169) (exp.f64 13/2)) (sqrt.f64 2/13) (-.f64 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) (fma.f64 (/.f64 (+.f64 (log.f64 13/2) -1/13) (exp.f64 13/2)) (sqrt.f64 2/13) (*.f64 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) 1/2)))) (*.f64 z z) (fma.f64 (-.f64 (*.f64 (sqrt.f64 2/13) (/.f64 (+.f64 (log.f64 13/2) -1/13) (exp.f64 13/2))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) z (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))))) |
(fma.f64 (+.f64 (*.f64 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) (+.f64 (+.f64 (log.f64 13/2) -1/13) (fma.f64 1/6 (pow.f64 (+.f64 (log.f64 13/2) -1/13) 3) (+.f64 (*.f64 (log.f64 13/2) 27/169) -163/6591)))) (-.f64 (*.f64 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) -2/3) (fma.f64 (*.f64 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) (+.f64 (+.f64 (log.f64 13/2) -1/13) -1)) 1/2 (*.f64 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) (fma.f64 1/2 (pow.f64 (+.f64 (log.f64 13/2) -1/13) 2) 27/169))))) (pow.f64 z 3) (fma.f64 z (*.f64 z (+.f64 (/.f64 (sqrt.f64 2/13) (/.f64 (exp.f64 13/2) 1/2)) (*.f64 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) (-.f64 (fma.f64 1/2 (pow.f64 (+.f64 (log.f64 13/2) -1/13) 2) 27/169) (+.f64 (log.f64 13/2) -1/13))))) (fma.f64 (*.f64 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) (+.f64 (+.f64 (log.f64 13/2) -1/13) -1)) z (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))))) |
(/.f64 (pow.f64 (+.f64 13/2 z) (-.f64 z 1/2)) (*.f64 (exp.f64 z) (exp.f64 13/2))) |
(/.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)) (exp.f64 (+.f64 13/2 z))) |
(/.f64 (pow.f64 (+.f64 13/2 z) (-.f64 z 1/2)) (*.f64 (exp.f64 z) (exp.f64 13/2))) |
(/.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)) (exp.f64 (+.f64 13/2 z))) |
(/.f64 (pow.f64 (+.f64 13/2 z) (-.f64 z 1/2)) (*.f64 (exp.f64 z) (exp.f64 13/2))) |
(/.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)) (exp.f64 (+.f64 13/2 z))) |
(/.f64 (pow.f64 (+.f64 13/2 z) (-.f64 z 1/2)) (*.f64 (exp.f64 z) (exp.f64 13/2))) |
(/.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)) (exp.f64 (+.f64 13/2 z))) |
(/.f64 (exp.f64 (*.f64 -1 (*.f64 (log.f64 (-.f64 13/2 (*.f64 -1 z))) (+.f64 (*.f64 -1 z) 1/2)))) (*.f64 (exp.f64 13/2) (exp.f64 z))) |
(/.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)) (exp.f64 (+.f64 13/2 z))) |
(/.f64 (exp.f64 (*.f64 -1 (*.f64 (log.f64 (-.f64 13/2 (*.f64 -1 z))) (+.f64 (*.f64 -1 z) 1/2)))) (*.f64 (exp.f64 13/2) (exp.f64 z))) |
(/.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)) (exp.f64 (+.f64 13/2 z))) |
(/.f64 (exp.f64 (*.f64 -1 (*.f64 (log.f64 (-.f64 13/2 (*.f64 -1 z))) (+.f64 (*.f64 -1 z) 1/2)))) (*.f64 (exp.f64 13/2) (exp.f64 z))) |
(/.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)) (exp.f64 (+.f64 13/2 z))) |
(/.f64 (exp.f64 (*.f64 -1 (*.f64 (log.f64 (-.f64 13/2 (*.f64 -1 z))) (+.f64 (*.f64 -1 z) 1/2)))) (*.f64 (exp.f64 13/2) (exp.f64 z))) |
(/.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)) (exp.f64 (+.f64 13/2 z))) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 1.0b | (sqrt.f64 (*.f64 (PI.f64) 2)) | |
| 1.2b | (exp.f64 (+.f64 z 13/2)) | |
| ✓ | 1.6b | (expm1.f64 (log1p.f64 (exp.f64 (+.f64 z 13/2)))) |
| ✓ | 1.7b | (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (expm1.f64 (log1p.f64 (exp.f64 (+.f64 z 13/2))))) |
Compiled 418 to 339 computations (18.9% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | z | @ | 0 | (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (expm1.f64 (log1p.f64 (exp.f64 (+.f64 z 13/2))))) |
| 1.0ms | z | @ | -inf | (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (expm1.f64 (log1p.f64 (exp.f64 (+.f64 z 13/2))))) |
| 1.0ms | z | @ | inf | (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (expm1.f64 (log1p.f64 (exp.f64 (+.f64 z 13/2))))) |
| 0.0ms | z | @ | 0 | (expm1.f64 (log1p.f64 (exp.f64 (+.f64 z 13/2)))) |
| 0.0ms | z | @ | -inf | (expm1.f64 (log1p.f64 (exp.f64 (+.f64 z 13/2)))) |
| 1× | batch-egg-rewrite |
| 541× | log-prod_binary64 |
| 326× | prod-diff_binary64 |
| 305× | pow2_binary64 |
| 303× | pow-prod-down_binary64 |
| 255× | pow-unpow_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 24 |
| 1 | 232 | 24 |
| 2 | 3142 | 24 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (expm1.f64 (log1p.f64 (exp.f64 (+.f64 z 13/2))))) |
(expm1.f64 (log1p.f64 (exp.f64 (+.f64 z 13/2)))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (-.f64 (neg.f64 z) 13/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (+.f64 z 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (exp.f64 (+.f64 z 13/2)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (exp.f64 (+.f64 z 13/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (exp.f64 (+.f64 z 13/2)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (exp.f64 (+.f64 z 13/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (exp.f64 (+.f64 z 13/2))))) (log.f64 (sqrt.f64 (exp.f64 (exp.f64 (+.f64 z 13/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (exp.f64 (+.f64 z 13/2)) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 (+.f64 z 13/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (exp.f64 (+.f64 z 13/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 z) (exp.f64 13/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 z) (pow.f64 (exp.f64 1) 13/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 13/2) (exp.f64 z))))) 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13/2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (+.f64 z 13/2))) (*.f64 (sqrt.f64 (+.f64 z 13/2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (+.f64 z 13/2)) 2)) (cbrt.f64 (+.f64 z 13/2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (+.f64 z 13/2)) 2)) (*.f64 (cbrt.f64 (+.f64 z 13/2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (+.f64 z 13/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (+.f64 z 13/2))) 1) (sqrt.f64 (+.f64 z 13/2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (+.f64 z 13/2))) (cbrt.f64 (+.f64 z 13/2))) (cbrt.f64 (sqrt.f64 (+.f64 z 13/2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (+.f64 z 13/2))) (sqrt.f64 (sqrt.f64 (+.f64 z 13/2)))) (sqrt.f64 (sqrt.f64 (+.f64 z 13/2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 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(+.f64 z 13/2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 1) 1) (+.f64 z 13/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 1) (cbrt.f64 (+.f64 z 13/2))) (pow.f64 (cbrt.f64 (+.f64 z 13/2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 1) (pow.f64 (cbrt.f64 (+.f64 z 13/2)) 2)) (cbrt.f64 (+.f64 z 13/2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 1) (sqrt.f64 (+.f64 z 13/2))) (sqrt.f64 (+.f64 z 13/2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 1) (+.f64 2197/8 (pow.f64 z 3))) (/.f64 1 (-.f64 (fma.f64 z z 169/4) (*.f64 z 13/2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 1) (fma.f64 z z -169/4)) (/.f64 1 (-.f64 z 13/2)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (exp.f64 (+.f64 z 13/2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (exp.f64 (+.f64 z 13/2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (exp.f64 (+.f64 z 13/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (exp.f64 (+.f64 z 13/2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (exp.f64 (+.f64 z 13/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 z 13/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 (exp.f64 (+.f64 z 13/2)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 (+.f64 z 13/2)) 1)) 2) (cbrt.f64 (+.f64 (exp.f64 (+.f64 z 13/2)) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 (exp.f64 (+.f64 z 13/2)) 1)) (sqrt.f64 (+.f64 (exp.f64 (+.f64 z 13/2)) 1)) -1))))) |
| 1× | egg-herbie |
| 421× | associate--l+_binary64 |
| 362× | fma-neg_binary64 |
| 302× | cancel-sign-sub-inv_binary64 |
| 291× | sub-neg_binary64 |
| 272× | fma-def_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 77 | 667 |
| 1 | 228 | 651 |
| 2 | 728 | 629 |
| 3 | 3391 | 552 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) |
(+.f64 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) (*.f64 (-.f64 (/.f64 (*.f64 (-.f64 (log.f64 13/2) 1/13) (sqrt.f64 2/13)) (exp.f64 13/2)) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) z)) |
(+.f64 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) (+.f64 (*.f64 (-.f64 (+.f64 (/.f64 (*.f64 (+.f64 27/169 (*.f64 1/2 (pow.f64 (-.f64 (log.f64 13/2) 1/13) 2))) (sqrt.f64 2/13)) (exp.f64 13/2)) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) (+.f64 (*.f64 1/2 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) (/.f64 (*.f64 (-.f64 (log.f64 13/2) 1/13) (sqrt.f64 2/13)) (exp.f64 13/2)))) (pow.f64 z 2)) (*.f64 (-.f64 (/.f64 (*.f64 (-.f64 (log.f64 13/2) 1/13) (sqrt.f64 2/13)) (exp.f64 13/2)) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) z))) |
(+.f64 (*.f64 (-.f64 (+.f64 (*.f64 1/2 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) (+.f64 (/.f64 (*.f64 (-.f64 (log.f64 13/2) 1/13) (sqrt.f64 2/13)) (exp.f64 13/2)) (/.f64 (*.f64 (-.f64 (+.f64 (*.f64 27/169 (-.f64 (log.f64 13/2) 1/13)) (*.f64 1/6 (pow.f64 (-.f64 (log.f64 13/2) 1/13) 3))) 82/6591) (sqrt.f64 2/13)) (exp.f64 13/2)))) (+.f64 (*.f64 1/2 (-.f64 (/.f64 (*.f64 (-.f64 (log.f64 13/2) 1/13) (sqrt.f64 2/13)) (exp.f64 13/2)) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)))) (+.f64 (/.f64 (*.f64 (+.f64 27/169 (*.f64 1/2 (pow.f64 (-.f64 (log.f64 13/2) 1/13) 2))) (sqrt.f64 2/13)) (exp.f64 13/2)) (+.f64 (*.f64 1/6 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)))))) (pow.f64 z 3)) (+.f64 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) (+.f64 (*.f64 (-.f64 (+.f64 (/.f64 (*.f64 (+.f64 27/169 (*.f64 1/2 (pow.f64 (-.f64 (log.f64 13/2) 1/13) 2))) (sqrt.f64 2/13)) (exp.f64 13/2)) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) (+.f64 (*.f64 1/2 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) (/.f64 (*.f64 (-.f64 (log.f64 13/2) 1/13) (sqrt.f64 2/13)) (exp.f64 13/2)))) (pow.f64 z 2)) (*.f64 (-.f64 (/.f64 (*.f64 (-.f64 (log.f64 13/2) 1/13) (sqrt.f64 2/13)) (exp.f64 13/2)) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) z)))) |
(/.f64 (pow.f64 (+.f64 13/2 z) (-.f64 z 1/2)) (exp.f64 (+.f64 13/2 z))) |
(/.f64 (pow.f64 (+.f64 13/2 z) (-.f64 z 1/2)) (exp.f64 (+.f64 13/2 z))) |
(/.f64 (pow.f64 (+.f64 13/2 z) (-.f64 z 1/2)) (exp.f64 (+.f64 13/2 z))) |
(/.f64 (pow.f64 (+.f64 13/2 z) (-.f64 z 1/2)) (exp.f64 (+.f64 13/2 z))) |
(/.f64 (exp.f64 (*.f64 -1 (*.f64 (log.f64 (-.f64 13/2 (*.f64 -1 z))) (+.f64 (*.f64 -1 z) 1/2)))) (exp.f64 (-.f64 13/2 (*.f64 -1 z)))) |
(/.f64 (exp.f64 (*.f64 -1 (*.f64 (log.f64 (-.f64 13/2 (*.f64 -1 z))) (+.f64 (*.f64 -1 z) 1/2)))) (exp.f64 (-.f64 13/2 (*.f64 -1 z)))) |
(/.f64 (exp.f64 (*.f64 -1 (*.f64 (log.f64 (-.f64 13/2 (*.f64 -1 z))) (+.f64 (*.f64 -1 z) 1/2)))) (exp.f64 (-.f64 13/2 (*.f64 -1 z)))) |
(/.f64 (exp.f64 (*.f64 -1 (*.f64 (log.f64 (-.f64 13/2 (*.f64 -1 z))) (+.f64 (*.f64 -1 z) 1/2)))) (exp.f64 (-.f64 13/2 (*.f64 -1 z)))) |
(exp.f64 13/2) |
(+.f64 (exp.f64 13/2) (*.f64 (exp.f64 13/2) z)) |
(+.f64 (*.f64 1/2 (*.f64 (exp.f64 13/2) (pow.f64 z 2))) (+.f64 (exp.f64 13/2) (*.f64 (exp.f64 13/2) z))) |
(+.f64 (*.f64 1/2 (*.f64 (exp.f64 13/2) (pow.f64 z 2))) (+.f64 (exp.f64 13/2) (+.f64 (*.f64 1/6 (*.f64 (exp.f64 13/2) (pow.f64 z 3))) (*.f64 (exp.f64 13/2) z)))) |
(exp.f64 (+.f64 13/2 z)) |
(exp.f64 (+.f64 13/2 z)) |
(exp.f64 (+.f64 13/2 z)) |
(exp.f64 (+.f64 13/2 z)) |
(exp.f64 (-.f64 13/2 (*.f64 -1 z))) |
(exp.f64 (-.f64 13/2 (*.f64 -1 z))) |
(exp.f64 (-.f64 13/2 (*.f64 -1 z))) |
(exp.f64 (-.f64 13/2 (*.f64 -1 z))) |
| Outputs |
|---|
(/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) |
(+.f64 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) (*.f64 (-.f64 (/.f64 (*.f64 (-.f64 (log.f64 13/2) 1/13) (sqrt.f64 2/13)) (exp.f64 13/2)) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) z)) |
(+.f64 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) (*.f64 (-.f64 (/.f64 (+.f64 (log.f64 13/2) -1/13) (/.f64 (exp.f64 13/2) (sqrt.f64 2/13))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) z)) |
(fma.f64 (-.f64 (*.f64 (/.f64 (+.f64 (log.f64 13/2) -1/13) (exp.f64 13/2)) (sqrt.f64 2/13)) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) z (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) |
(fma.f64 (-.f64 (*.f64 (sqrt.f64 2/13) (/.f64 (+.f64 (log.f64 13/2) -1/13) (exp.f64 13/2))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) z (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) |
(fma.f64 (*.f64 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) (+.f64 (+.f64 (log.f64 13/2) -1/13) -1)) z (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) |
(+.f64 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) (+.f64 (*.f64 (-.f64 (+.f64 (/.f64 (*.f64 (+.f64 27/169 (*.f64 1/2 (pow.f64 (-.f64 (log.f64 13/2) 1/13) 2))) (sqrt.f64 2/13)) (exp.f64 13/2)) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) (+.f64 (*.f64 1/2 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) (/.f64 (*.f64 (-.f64 (log.f64 13/2) 1/13) (sqrt.f64 2/13)) (exp.f64 13/2)))) (pow.f64 z 2)) (*.f64 (-.f64 (/.f64 (*.f64 (-.f64 (log.f64 13/2) 1/13) (sqrt.f64 2/13)) (exp.f64 13/2)) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) z))) |
(+.f64 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) (fma.f64 (+.f64 (/.f64 (+.f64 27/169 (*.f64 1/2 (pow.f64 (+.f64 (log.f64 13/2) -1/13) 2))) (/.f64 (exp.f64 13/2) (sqrt.f64 2/13))) (-.f64 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) (fma.f64 1/2 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) (/.f64 (+.f64 (log.f64 13/2) -1/13) (/.f64 (exp.f64 13/2) (sqrt.f64 2/13)))))) (*.f64 z z) (*.f64 (-.f64 (/.f64 (+.f64 (log.f64 13/2) -1/13) (/.f64 (exp.f64 13/2) (sqrt.f64 2/13))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) z))) |
(+.f64 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) (fma.f64 (-.f64 (*.f64 (/.f64 (+.f64 (log.f64 13/2) -1/13) (exp.f64 13/2)) (sqrt.f64 2/13)) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) z (*.f64 (+.f64 (*.f64 (/.f64 (fma.f64 1/2 (pow.f64 (+.f64 (log.f64 13/2) -1/13) 2) 27/169) (exp.f64 13/2)) (sqrt.f64 2/13)) (-.f64 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) (fma.f64 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) 1/2 (*.f64 (/.f64 (+.f64 (log.f64 13/2) -1/13) (exp.f64 13/2)) (sqrt.f64 2/13))))) (*.f64 z z)))) |
(fma.f64 (-.f64 (*.f64 (sqrt.f64 2/13) (/.f64 (+.f64 (log.f64 13/2) -1/13) (exp.f64 13/2))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) z (fma.f64 (fma.f64 (/.f64 (fma.f64 1/2 (pow.f64 (+.f64 (log.f64 13/2) -1/13) 2) 27/169) (exp.f64 13/2)) (sqrt.f64 2/13) (-.f64 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) (fma.f64 (/.f64 (+.f64 (log.f64 13/2) -1/13) (exp.f64 13/2)) (sqrt.f64 2/13) (*.f64 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) 1/2)))) (*.f64 z z) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)))) |
(fma.f64 (*.f64 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) (+.f64 (+.f64 (log.f64 13/2) -1/13) -1)) z (fma.f64 z (*.f64 z (-.f64 (*.f64 (/.f64 1/2 (exp.f64 13/2)) (sqrt.f64 2/13)) (*.f64 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) (-.f64 (+.f64 (log.f64 13/2) -1/13) (fma.f64 1/2 (pow.f64 (+.f64 (log.f64 13/2) -1/13) 2) 27/169))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)))) |
(+.f64 (*.f64 (-.f64 (+.f64 (*.f64 1/2 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) (+.f64 (/.f64 (*.f64 (-.f64 (log.f64 13/2) 1/13) (sqrt.f64 2/13)) (exp.f64 13/2)) (/.f64 (*.f64 (-.f64 (+.f64 (*.f64 27/169 (-.f64 (log.f64 13/2) 1/13)) (*.f64 1/6 (pow.f64 (-.f64 (log.f64 13/2) 1/13) 3))) 82/6591) (sqrt.f64 2/13)) (exp.f64 13/2)))) (+.f64 (*.f64 1/2 (-.f64 (/.f64 (*.f64 (-.f64 (log.f64 13/2) 1/13) (sqrt.f64 2/13)) (exp.f64 13/2)) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)))) (+.f64 (/.f64 (*.f64 (+.f64 27/169 (*.f64 1/2 (pow.f64 (-.f64 (log.f64 13/2) 1/13) 2))) (sqrt.f64 2/13)) (exp.f64 13/2)) (+.f64 (*.f64 1/6 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)))))) (pow.f64 z 3)) (+.f64 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) (+.f64 (*.f64 (-.f64 (+.f64 (/.f64 (*.f64 (+.f64 27/169 (*.f64 1/2 (pow.f64 (-.f64 (log.f64 13/2) 1/13) 2))) (sqrt.f64 2/13)) (exp.f64 13/2)) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) (+.f64 (*.f64 1/2 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) (/.f64 (*.f64 (-.f64 (log.f64 13/2) 1/13) (sqrt.f64 2/13)) (exp.f64 13/2)))) (pow.f64 z 2)) (*.f64 (-.f64 (/.f64 (*.f64 (-.f64 (log.f64 13/2) 1/13) (sqrt.f64 2/13)) (exp.f64 13/2)) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) z)))) |
(fma.f64 (-.f64 (+.f64 (fma.f64 1/2 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) (/.f64 (+.f64 (log.f64 13/2) -1/13) (/.f64 (exp.f64 13/2) (sqrt.f64 2/13)))) (/.f64 (+.f64 (fma.f64 27/169 (+.f64 (log.f64 13/2) -1/13) (*.f64 1/6 (pow.f64 (+.f64 (log.f64 13/2) -1/13) 3))) -82/6591) (/.f64 (exp.f64 13/2) (sqrt.f64 2/13)))) (fma.f64 1/2 (-.f64 (/.f64 (+.f64 (log.f64 13/2) -1/13) (/.f64 (exp.f64 13/2) (sqrt.f64 2/13))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) (+.f64 (/.f64 (+.f64 27/169 (*.f64 1/2 (pow.f64 (+.f64 (log.f64 13/2) -1/13) 2))) (/.f64 (exp.f64 13/2) (sqrt.f64 2/13))) (*.f64 7/6 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)))))) (pow.f64 z 3) (+.f64 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) (fma.f64 (+.f64 (/.f64 (+.f64 27/169 (*.f64 1/2 (pow.f64 (+.f64 (log.f64 13/2) -1/13) 2))) (/.f64 (exp.f64 13/2) (sqrt.f64 2/13))) (-.f64 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) (fma.f64 1/2 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) (/.f64 (+.f64 (log.f64 13/2) -1/13) (/.f64 (exp.f64 13/2) (sqrt.f64 2/13)))))) (*.f64 z z) (*.f64 (-.f64 (/.f64 (+.f64 (log.f64 13/2) -1/13) (/.f64 (exp.f64 13/2) (sqrt.f64 2/13))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) z)))) |
(+.f64 (fma.f64 (-.f64 (*.f64 (/.f64 (+.f64 (log.f64 13/2) -1/13) (exp.f64 13/2)) (sqrt.f64 2/13)) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) z (*.f64 (+.f64 (*.f64 (/.f64 (fma.f64 1/2 (pow.f64 (+.f64 (log.f64 13/2) -1/13) 2) 27/169) (exp.f64 13/2)) (sqrt.f64 2/13)) (-.f64 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) (fma.f64 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) 1/2 (*.f64 (/.f64 (+.f64 (log.f64 13/2) -1/13) (exp.f64 13/2)) (sqrt.f64 2/13))))) (*.f64 z z))) (fma.f64 (-.f64 (+.f64 (fma.f64 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) 1/2 (*.f64 (/.f64 (+.f64 (log.f64 13/2) -1/13) (exp.f64 13/2)) (sqrt.f64 2/13))) (/.f64 (sqrt.f64 2/13) (/.f64 (exp.f64 13/2) (fma.f64 (+.f64 (log.f64 13/2) -1/13) 27/169 (fma.f64 1/6 (pow.f64 (+.f64 (log.f64 13/2) -1/13) 3) -82/6591))))) (fma.f64 (-.f64 (*.f64 (/.f64 (+.f64 (log.f64 13/2) -1/13) (exp.f64 13/2)) (sqrt.f64 2/13)) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) 1/2 (fma.f64 7/6 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) (*.f64 (/.f64 (fma.f64 1/2 (pow.f64 (+.f64 (log.f64 13/2) -1/13) 2) 27/169) (exp.f64 13/2)) (sqrt.f64 2/13))))) (pow.f64 z 3) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)))) |
(fma.f64 (-.f64 (fma.f64 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) 1/2 (*.f64 (sqrt.f64 2/13) (+.f64 (/.f64 (+.f64 (log.f64 13/2) -1/13) (exp.f64 13/2)) (/.f64 (fma.f64 1/6 (pow.f64 (+.f64 (log.f64 13/2) -1/13) 3) (+.f64 (*.f64 (log.f64 13/2) 27/169) -163/6591)) (exp.f64 13/2))))) (fma.f64 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) 7/6 (fma.f64 (/.f64 (fma.f64 1/2 (pow.f64 (+.f64 (log.f64 13/2) -1/13) 2) 27/169) (exp.f64 13/2)) (sqrt.f64 2/13) (*.f64 (-.f64 (*.f64 (sqrt.f64 2/13) (/.f64 (+.f64 (log.f64 13/2) -1/13) (exp.f64 13/2))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) 1/2)))) (pow.f64 z 3) (fma.f64 (-.f64 (*.f64 (sqrt.f64 2/13) (/.f64 (+.f64 (log.f64 13/2) -1/13) (exp.f64 13/2))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) z (fma.f64 (fma.f64 (/.f64 (fma.f64 1/2 (pow.f64 (+.f64 (log.f64 13/2) -1/13) 2) 27/169) (exp.f64 13/2)) (sqrt.f64 2/13) (-.f64 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) (fma.f64 (/.f64 (+.f64 (log.f64 13/2) -1/13) (exp.f64 13/2)) (sqrt.f64 2/13) (*.f64 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) 1/2)))) (*.f64 z z) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))))) |
(fma.f64 (-.f64 (*.f64 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) (+.f64 (+.f64 (log.f64 13/2) -1/13) (fma.f64 1/6 (pow.f64 (+.f64 (log.f64 13/2) -1/13) 3) (+.f64 (*.f64 (log.f64 13/2) 27/169) -163/6591)))) (+.f64 (fma.f64 (*.f64 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) (+.f64 (+.f64 (log.f64 13/2) -1/13) -1)) 1/2 (*.f64 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) (fma.f64 1/2 (pow.f64 (+.f64 (log.f64 13/2) -1/13) 2) 27/169))) (*.f64 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) 2/3))) (pow.f64 z 3) (fma.f64 (*.f64 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) (+.f64 (+.f64 (log.f64 13/2) -1/13) -1)) z (fma.f64 z (*.f64 z (-.f64 (*.f64 (/.f64 1/2 (exp.f64 13/2)) (sqrt.f64 2/13)) (*.f64 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) (-.f64 (+.f64 (log.f64 13/2) -1/13) (fma.f64 1/2 (pow.f64 (+.f64 (log.f64 13/2) -1/13) 2) 27/169))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))))) |
(/.f64 (pow.f64 (+.f64 13/2 z) (-.f64 z 1/2)) (exp.f64 (+.f64 13/2 z))) |
(/.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)) (exp.f64 (+.f64 13/2 z))) |
(*.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)) (exp.f64 (-.f64 -13/2 z))) |
(/.f64 (pow.f64 (+.f64 13/2 z) (-.f64 z 1/2)) (exp.f64 (+.f64 13/2 z))) |
(/.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)) (exp.f64 (+.f64 13/2 z))) |
(*.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)) (exp.f64 (-.f64 -13/2 z))) |
(/.f64 (pow.f64 (+.f64 13/2 z) (-.f64 z 1/2)) (exp.f64 (+.f64 13/2 z))) |
(/.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)) (exp.f64 (+.f64 13/2 z))) |
(*.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)) (exp.f64 (-.f64 -13/2 z))) |
(/.f64 (pow.f64 (+.f64 13/2 z) (-.f64 z 1/2)) (exp.f64 (+.f64 13/2 z))) |
(/.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)) (exp.f64 (+.f64 13/2 z))) |
(*.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)) (exp.f64 (-.f64 -13/2 z))) |
(/.f64 (exp.f64 (*.f64 -1 (*.f64 (log.f64 (-.f64 13/2 (*.f64 -1 z))) (+.f64 (*.f64 -1 z) 1/2)))) (exp.f64 (-.f64 13/2 (*.f64 -1 z)))) |
(/.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)) (exp.f64 (+.f64 13/2 z))) |
(*.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)) (exp.f64 (-.f64 -13/2 z))) |
(/.f64 (exp.f64 (*.f64 -1 (*.f64 (log.f64 (-.f64 13/2 (*.f64 -1 z))) (+.f64 (*.f64 -1 z) 1/2)))) (exp.f64 (-.f64 13/2 (*.f64 -1 z)))) |
(/.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)) (exp.f64 (+.f64 13/2 z))) |
(*.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)) (exp.f64 (-.f64 -13/2 z))) |
(/.f64 (exp.f64 (*.f64 -1 (*.f64 (log.f64 (-.f64 13/2 (*.f64 -1 z))) (+.f64 (*.f64 -1 z) 1/2)))) (exp.f64 (-.f64 13/2 (*.f64 -1 z)))) |
(/.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)) (exp.f64 (+.f64 13/2 z))) |
(*.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)) (exp.f64 (-.f64 -13/2 z))) |
(/.f64 (exp.f64 (*.f64 -1 (*.f64 (log.f64 (-.f64 13/2 (*.f64 -1 z))) (+.f64 (*.f64 -1 z) 1/2)))) (exp.f64 (-.f64 13/2 (*.f64 -1 z)))) |
(/.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)) (exp.f64 (+.f64 13/2 z))) |
(*.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)) (exp.f64 (-.f64 -13/2 z))) |
(exp.f64 13/2) |
(+.f64 (exp.f64 13/2) (*.f64 (exp.f64 13/2) z)) |
(*.f64 (+.f64 z 1) (exp.f64 13/2)) |
(*.f64 (exp.f64 13/2) (+.f64 z 1)) |
(+.f64 (*.f64 1/2 (*.f64 (exp.f64 13/2) (pow.f64 z 2))) (+.f64 (exp.f64 13/2) (*.f64 (exp.f64 13/2) z))) |
(fma.f64 1/2 (*.f64 (exp.f64 13/2) (*.f64 z z)) (+.f64 (exp.f64 13/2) (*.f64 (exp.f64 13/2) z))) |
(fma.f64 1/2 (*.f64 (exp.f64 13/2) (*.f64 z z)) (*.f64 (+.f64 z 1) (exp.f64 13/2))) |
(*.f64 (exp.f64 13/2) (+.f64 (+.f64 z 1) (*.f64 z (*.f64 z 1/2)))) |
(+.f64 (*.f64 1/2 (*.f64 (exp.f64 13/2) (pow.f64 z 2))) (+.f64 (exp.f64 13/2) (+.f64 (*.f64 1/6 (*.f64 (exp.f64 13/2) (pow.f64 z 3))) (*.f64 (exp.f64 13/2) z)))) |
(fma.f64 1/2 (*.f64 (exp.f64 13/2) (*.f64 z z)) (+.f64 (exp.f64 13/2) (fma.f64 1/6 (*.f64 (exp.f64 13/2) (pow.f64 z 3)) (*.f64 (exp.f64 13/2) z)))) |
(+.f64 (fma.f64 (*.f64 (exp.f64 13/2) 1/6) (pow.f64 z 3) (*.f64 (exp.f64 13/2) z)) (fma.f64 (*.f64 (exp.f64 13/2) 1/2) (*.f64 z z) (exp.f64 13/2))) |
(fma.f64 (exp.f64 13/2) (*.f64 z (*.f64 z 1/2)) (*.f64 (exp.f64 13/2) (+.f64 (+.f64 z 1) (*.f64 1/6 (pow.f64 z 3))))) |
(*.f64 (exp.f64 13/2) (+.f64 (+.f64 (+.f64 z 1) (*.f64 1/6 (pow.f64 z 3))) (*.f64 z (*.f64 z 1/2)))) |
(exp.f64 (+.f64 13/2 z)) |
(exp.f64 (+.f64 13/2 z)) |
(exp.f64 (+.f64 13/2 z)) |
(exp.f64 (+.f64 13/2 z)) |
(exp.f64 (-.f64 13/2 (*.f64 -1 z))) |
(exp.f64 (+.f64 13/2 z)) |
(exp.f64 (-.f64 13/2 (*.f64 -1 z))) |
(exp.f64 (+.f64 13/2 z)) |
(exp.f64 (-.f64 13/2 (*.f64 -1 z))) |
(exp.f64 (+.f64 13/2 z)) |
(exp.f64 (-.f64 13/2 (*.f64 -1 z))) |
(exp.f64 (+.f64 13/2 z)) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.8b | (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) | |
| ✓ | 1.0b | (sqrt.f64 (PI.f64)) |
| 1.2b | (exp.f64 (+.f64 z 13/2)) | |
| 1.7b | (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))) |
Compiled 447 to 362 computations (19% saved)
| 1× | batch-egg-rewrite |
| 379× | expm1-udef_binary64 |
| 379× | log1p-udef_binary64 |
| 271× | associate-*r*_binary64 |
| 258× | associate-*l*_binary64 |
| 250× | pow1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 3 | 4 |
| 1 | 59 | 4 |
| 2 | 667 | 4 |
| 3 | 7066 | 4 |
| 1× | node limit |
| Inputs |
|---|
(sqrt.f64 (PI.f64)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (sqrt.f64 (PI.f64)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (PI.f64))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (PI.f64)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (sqrt.f64 (PI.f64)) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (PI.f64)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (PI.f64)) (pow.f64 (PI.f64) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (PI.f64) 1/4) (pow.f64 (PI.f64) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) (*.f64 (cbrt.f64 (pow.f64 (PI.f64) 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1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/4 (log.f64 (PI.f64))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (PI.f64) 1/6)) 3)))))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 0 | 0 |
| 1× | saturated |
| Inputs |
|---|
| Outputs |
|---|
Compiled 62598 to 51672 computations (17.5% saved)
146 alts after pruning (139 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 750 | 39 | 789 |
| Fresh | 26 | 100 | 126 |
| Picked | 1 | 0 | 1 |
| Done | 2 | 7 | 9 |
| Total | 779 | 146 | 925 |
| Status | Error | Program |
|---|---|---|
| 3.7b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (*.f64 (neg.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))) (/.f64 1 (neg.f64 (exp.f64 (+.f64 z 13/2))))))) | |
| 63.1b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -883075145810703/5000000000000 z) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)))) | |
| 4.0b | (*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 z -1) 15/2) (+.f64 z -1/2))) (exp.f64 (+.f64 (+.f64 z -1) 15/2))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 1 (/.f64 (-.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 z -1))) (-.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) 2) (/.f64 9908947294301912793614221284049/6250000000000000000000000 (pow.f64 (-.f64 z -1) 2))))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8)))) | |
| 3.9b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (/.f64 (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 (fma.f64 (fma.f64 (+.f64 z 1) 7713234287776531/10000000000000 (fma.f64 z -3147848041806007/2500000000000 -3147848041806007/1250000000000)) (/.f64 1 (*.f64 (+.f64 z 1) (+.f64 z 2))) (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))) (-.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))) | |
| 4.0b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (/.f64 (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))) (-.f64 9999999999998099/10000000000000000 (/.f64 1 (/.f64 (-.f64 (-.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))) (-.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (*.f64 z z)) (pow.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))) 2)))))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))) | |
| 3.9b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 1 (/.f64 (exp.f64 z) (*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 -13/2)))))) | |
| 3.8b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))) 3))) | |
| 3.8b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (cbrt.f64 (pow.f64 (exp.f64 2) (+.f64 z 13/2))) (cbrt.f64 (exp.f64 (+.f64 z 13/2))))))) | |
| 3.8b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (/.f64 (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 (/.f64 (-.f64 (*.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))) (/.f64 59493983178131529437839794393961/100000000000000000000000000 (pow.f64 (+.f64 z 2) 2))) (-.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))) (-.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))) | |
| 3.9b | (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (*.f64 (/.f64 1 (exp.f64 z)) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 13/2))))) | |
| 5.2b | (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (*.f64 (+.f64 z -1/2) (log.f64 (+.f64 z 13/2))))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 1 (/.f64 (-.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 z -1))) (-.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) 2) (/.f64 9908947294301912793614221284049/6250000000000000000000000 (pow.f64 (-.f64 z -1) 2))))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8)))) | |
| 3.7b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (exp.f64 (fma.f64 (+.f64 z -1/2) (log.f64 (+.f64 z 13/2)) (-.f64 (neg.f64 z) 13/2))))) | |
| 3.7b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 1 (/.f64 (exp.f64 (+.f64 z 13/2)) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)))))) | |
| 11.3b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (pow.f64 (pow.f64 (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))) 3) 1/3))) | |
| 4.2b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (/.f64 (+.f64 (*.f64 (fma.f64 -3147848041806007/2500000000000 (+.f64 z 2) (*.f64 (+.f64 z 1) 7713234287776531/10000000000000)) (+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (-.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (*.f64 z z)) (*.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z))))) (*.f64 (*.f64 (+.f64 z 1) (+.f64 z 2)) (+.f64 999999999999429700000000108414029999993130164299/1000000000000000000000000000000000000000000000000 (/.f64 309629712517394580428200722024092610534658749051/1000000000000000000000000000000000000000 (pow.f64 z 3))))) (*.f64 (*.f64 (+.f64 z 1) (+.f64 z 2)) (+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (-.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (*.f64 z z)) (*.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)))))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (*.f64 (/.f64 1 (exp.f64 z)) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 13/2))))) | |
| 3.9b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (/.f64 (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 (/.f64 (fma.f64 (fma.f64 (+.f64 z 1) 7713234287776531/10000000000000 (fma.f64 z -3147848041806007/2500000000000 -3147848041806007/1250000000000)) z (*.f64 (*.f64 (+.f64 z 1) (+.f64 z 2)) 6765203681218851/10000000000000)) (*.f64 (*.f64 (+.f64 z 1) (+.f64 z 2)) z)) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))) (-.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))) | |
| 3.7b | (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (cbrt.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (-.f64 z -1)))) 3)) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8)))) | |
| 4.5b | (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 (PI.f64) 2))) 3) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (expm1.f64 (log1p.f64 (exp.f64 (+.f64 z 13/2))))))) | |
| 4.0b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (pow.f64 (cbrt.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))))) 3) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))) | |
| 4.3b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (/.f64 (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))) (-.f64 9999999999998099/10000000000000000 (/.f64 (-.f64 (*.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))) (/.f64 59493983178131529437839794393961/100000000000000000000000000 (pow.f64 (+.f64 z 2) 2))) (-.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))) | |
| 3.9b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (/.f64 (-.f64 (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))) (/.f64 59493983178131529437839794393961/100000000000000000000000000 (pow.f64 (+.f64 z 2) 2))) (-.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (*.f64 (/.f64 1 (exp.f64 z)) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 13/2))))) | |
| 3.9b | (*.f64 (*.f64 (cbrt.f64 (pow.f64 (PI.f64) 3/2)) (sqrt.f64 2)) (*.f64 (+.f64 (exp.f64 (log.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))) | |
| 6.2b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (+.f64 z 13/2)) 2)) (cbrt.f64 (+.f64 z 13/2)))))) | |
| 52.5b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 943522900885677/5000000000000 z)) (/.f64 -1417538204164517/5000000000000 (*.f64 z z))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))) | |
| 3.6b | (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (*.f64 1 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (-.f64 z -1))))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8)))) | |
| 3.9b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 1 (*.f64 (/.f64 (exp.f64 13/2) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))) (exp.f64 z))))) | |
| 3.8b | (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (*.f64 (+.f64 (exp.f64 (log.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (*.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)) (exp.f64 (-.f64 -13/2 z))))) | |
| 3.7b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (/.f64 (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 (/.f64 (-.f64 (pow.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))) 2) (/.f64 45767980848377092942628957760201/100000000000000000000000000 (*.f64 z z))) (-.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))) (/.f64 6765203681218851/10000000000000 z))) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))) (-.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))) | |
| 63.1b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 -294358381936901/5000000000000 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) 2496092394504893/1500000000000000000000)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)))) | |
| 3.8b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (/.f64 (-.f64 (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))) (/.f64 59493983178131529437839794393961/100000000000000000000000000 (pow.f64 (+.f64 z 2) 2))) (-.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (*.f64 (pow.f64 (+.f64 z 13/2) z) (*.f64 (pow.f64 (+.f64 z 13/2) -1/2) (exp.f64 (-.f64 (neg.f64 z) 13/2)))))) | |
| 3.6b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (/.f64 (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))) (-.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (*.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)) (exp.f64 (-.f64 -13/2 z))))) | |
| 3.8b | (*.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8)))) | |
| 3.9b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (/.f64 (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) (*.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 6765203681218851/10000000000000 z))) 1))) (-.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))) | |
| 4.0b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (expm1.f64 (log1p.f64 (*.f64 (exp.f64 z) (exp.f64 13/2))))))) | |
| 4.6b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (/.f64 (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))) (-.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (expm1.f64 (log1p.f64 (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))))) | |
| 49.9b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 943522900885677/5000000000000 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))) | |
| 3.8b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (exp.f64 (log.f64 (fma.f64 (/.f64 1 z) 6765203681218851/10000000000000 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))))))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 z 13/2))) 2) (cbrt.f64 (exp.f64 (+.f64 z 13/2))))))) | |
| ✓ | 4.7b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (expm1.f64 (log1p.f64 (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))))) |
| 4.3b | (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 (PI.f64) 2))) 3) (*.f64 (+.f64 (/.f64 (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))) (-.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))) | |
| 3.9b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (/.f64 (+.f64 (*.f64 (fma.f64 -3147848041806007/2500000000000 (+.f64 z 2) (*.f64 (+.f64 z 1) 7713234287776531/10000000000000)) (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z))) (*.f64 (*.f64 (+.f64 z 1) (+.f64 z 2)) (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (*.f64 z z))))) (*.f64 (*.f64 (+.f64 z 1) (+.f64 z 2)) (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (*.f64 (/.f64 1 (exp.f64 z)) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 13/2))))) | |
| 5.0b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (/.f64 (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))) (-.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (exp.f64 (*.f64 -1 (*.f64 (log.f64 (-.f64 13/2 (*.f64 -1 z))) (+.f64 (*.f64 -1 z) 1/2)))) (exp.f64 (-.f64 13/2 (*.f64 -1 z)))))) | |
| 4.0b | (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (*.f64 (+.f64 (exp.f64 (log.f64 (fma.f64 (/.f64 -3147848041806007/2500000000000 (fma.f64 z z -1)) (+.f64 z -1) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)))))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))) | |
| 4.8b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (/.f64 (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))) (-.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (pow.f64 (exp.f64 (sqrt.f64 (+.f64 z 13/2))) (sqrt.f64 (+.f64 z 13/2)))))) | |
| 3.8b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (/.f64 (-.f64 (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))) (/.f64 59493983178131529437839794393961/100000000000000000000000000 (pow.f64 (+.f64 z 2) 2))) (-.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))) | |
| 3.7b | (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))) | |
| 4.1b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (/.f64 (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))) (-.f64 9999999999998099/10000000000000000 (*.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 6765203681218851/10000000000000 z))) 1))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))) | |
| 49.9b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (*.f64 943522900885677/5000000000000 (/.f64 1 z))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))) | |
| 3.9b | (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 (+.f64 (*.f64 (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (*.f64 z z))) (-.f64 z -1)) (*.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) -3147848041806007/2500000000000)) (*.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (-.f64 z -1))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8)))) | |
| ✓ | 4.6b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (pow.f64 (E.f64) (+.f64 z 13/2))))) |
| 4.5b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (/.f64 (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))) (-.f64 9999999999998099/10000000000000000 (fma.f64 (/.f64 1 (+.f64 z 1)) -3147848041806007/2500000000000 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 6765203681218851/10000000000000 z))))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))) | |
| 4.1b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (/.f64 (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 z)) (exp.f64 13/3)) (exp.f64 13/6)))) | |
| 4.0b | (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (expm1.f64 (log1p.f64 (exp.f64 (+.f64 z 13/2))))))) | |
| 59.5b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (-.f64 (*.f64 294358381936901/15000000000000 z) 294358381936901/5000000000000) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)))) | |
| 3.8b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (/.f64 (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))) (-.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (exp.f64 (-.f64 (*.f64 (+.f64 z -1/2) (log.f64 (+.f64 z 13/2))) (+.f64 z 13/2))))) | |
| 3.7b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (*.f64 (pow.f64 (+.f64 z 13/2) z) (*.f64 (pow.f64 (+.f64 z 13/2) -1/2) (/.f64 1 (exp.f64 (+.f64 z 13/2))))))) | |
| 4.0b | (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (fma.f64 (sqrt.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z))) (sqrt.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 z -1))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8)))) | |
| 4.0b | (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 (+.f64 (*.f64 (+.f64 999999999999429700000000108414029999993130164299/1000000000000000000000000000000000000000000000000 (pow.f64 (/.f64 6765203681218851/10000000000000 z) 3)) (-.f64 z -1)) (*.f64 (+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 (/.f64 6765203681218851/10000000000000 z) (-.f64 (/.f64 6765203681218851/10000000000000 z) 9999999999998099/10000000000000000))) -3147848041806007/2500000000000)) (*.f64 (+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 (/.f64 6765203681218851/10000000000000 z) (-.f64 (/.f64 6765203681218851/10000000000000 z) 9999999999998099/10000000000000000))) (-.f64 z -1))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8)))) | |
| 5.1b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (pow.f64 (exp.f64 1) (*.f64 2 (*.f64 1/3 (+.f64 z 13/2)))) (pow.f64 (exp.f64 1) (*.f64 1/3 (+.f64 z 13/2))))))) | |
| ✓ | 3.6b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (/.f64 (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))) (-.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))) |
| 63.1b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 -294358381936901/5000000000000 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 z))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)))) | |
| 3.7b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (/.f64 (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 (/.f64 (+.f64 (-.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))) (*.f64 (*.f64 z 10000000000000/6765203681218851) (-.f64 (/.f64 9908947294301912793614221284049/6250000000000000000000000 (pow.f64 (+.f64 z 1) 2)) (/.f64 59493983178131529437839794393961/100000000000000000000000000 (pow.f64 (+.f64 z 2) 2))))) (*.f64 (*.f64 z 10000000000000/6765203681218851) (-.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))))) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))) (-.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))) | |
| 3.7b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (/.f64 (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 (fma.f64 (/.f64 1 z) 6765203681218851/10000000000000 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))) (-.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))) | |
| 4.0b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (/.f64 (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))) (-.f64 9999999999998099/10000000000000000 (/.f64 (-.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (*.f64 z z)) (pow.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))) 2)) (-.f64 (-.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))) | |
| 3.7b | (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (/.f64 1 (exp.f64 (+.f64 (+.f64 z -1) 15/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8)))) | |
| 3.8b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (sqrt.f64 (pow.f64 (exp.f64 2) (+.f64 z 13/2)))))) | |
| 4.7b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (/.f64 (+.f64 (*.f64 (fma.f64 -3147848041806007/2500000000000 (+.f64 z 2) (*.f64 (+.f64 z 1) 7713234287776531/10000000000000)) (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z))) (*.f64 (*.f64 (+.f64 z 1) (+.f64 z 2)) (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (*.f64 z z))))) (*.f64 (*.f64 (+.f64 z 1) (+.f64 z 2)) (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (pow.f64 (E.f64) (+.f64 z 13/2))))) | |
| 3.8b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 z)) (exp.f64 13/2)))) | |
| 3.9b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 -13/2)) (exp.f64 z)))) | |
| 63.0b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 (+.f64 z 13/2))))) | |
| 3.6b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (/.f64 (+.f64 (pow.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) 3) (/.f64 458891030965964263706993392018425544321343929291/1000000000000000000000000000000000000000 (pow.f64 (+.f64 z 2) 3))) (+.f64 (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))) (-.f64 (/.f64 59493983178131529437839794393961/100000000000000000000000000 (pow.f64 (+.f64 z 2) 2)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))) | |
| 4.0b | (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (*.f64 (+.f64 (exp.f64 (log.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (*.f64 (/.f64 (pow.f64 (+.f64 z 13/2) z) (exp.f64 z)) (/.f64 (pow.f64 (+.f64 z 13/2) -1/2) (exp.f64 13/2))))) | |
| 3.8b | (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (*.f64 (exp.f64 (neg.f64 (+.f64 z 6))) (exp.f64 -1/2))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8)))) | |
| 5.2b | (*.f64 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 (*.f64 -1 (*.f64 (log.f64 (-.f64 13/2 (*.f64 -1 z))) (+.f64 (*.f64 -1 z) 1/2)))) (exp.f64 (-.f64 (*.f64 -1 z) 13/2)))) (sqrt.f64 (PI.f64))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8)))) | |
| 3.7b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (-.f64 (+.f64 (exp.f64 (+.f64 z 13/2)) 1) 1)))) | |
| 3.7b | (*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 2)) 2)) (sqrt.f64 (cbrt.f64 (*.f64 (PI.f64) 2)))) (*.f64 (+.f64 (exp.f64 (log.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))) | |
| 3.6b | (*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 2)) 2)) (pow.f64 (*.f64 (PI.f64) 2) 1/6)) (*.f64 (+.f64 (/.f64 (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))) (-.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (cbrt.f64 (pow.f64 (exp.f64 (+.f64 z 13/2)) 3))))) | |
| 3.9b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (/.f64 (exp.f64 z) (exp.f64 -13/2))))) | |
| 5.3b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (-.f64 (+.f64 (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))) 1) 1))) | |
| 3.8b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (exp.f64 (log.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 1 z)))) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))) | |
| 3.8b | (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (exp.f64 (-.f64 -13/2 z)) (pow.f64 (-.f64 z -13/2) (-.f64 1/2 z))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8)))) | |
| 10.5b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (*.f64 (cbrt.f64 (pow.f64 (+.f64 z 13/2) (*.f64 2 (+.f64 z -1/2)))) (*.f64 (cbrt.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))) (exp.f64 (-.f64 (neg.f64 z) 13/2)))))) | |
| 3.7b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (*.f64 (pow.f64 (+.f64 z 13/2) z) (*.f64 (pow.f64 (+.f64 z 13/2) -1/2) (exp.f64 (-.f64 -13/2 z)))))) | |
| 3.8b | (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (*.f64 (+.f64 (exp.f64 (log.f64 (fma.f64 (/.f64 1 (+.f64 z 2)) 7713234287776531/10000000000000 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))) | |
| 3.7b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (*.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)) (exp.f64 (-.f64 -13/2 z))))) | |
| 4.1b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (/.f64 (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))) (-.f64 9999999999998099/10000000000000000 (fma.f64 (/.f64 1 z) 6765203681218851/10000000000000 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))) | |
| 3.7b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (/.f64 (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 (-.f64 (/.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (*.f64 z z)) (-.f64 (-.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) (/.f64 (pow.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))) 2) (-.f64 (-.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))))) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))) (-.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))) | |
| 3.7b | (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (fma.f64 -3147848041806007/2500000000000 (/.f64 1 (-.f64 z -1)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8)))) | |
| 55.1b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (-.f64 (+.f64 (*.f64 42652334381119581/40000000000000 z) (*.f64 6765203681218851/10000000000000 (/.f64 1 z))) 8724775023335764401/10000000000000000) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))) | |
| 3.8b | (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (*.f64 (+.f64 (exp.f64 (log.f64 (/.f64 (-.f64 (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))) (/.f64 59493983178131529437839794393961/100000000000000000000000000 (pow.f64 (+.f64 z 2) 2))) (-.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))) | |
| 4.0b | (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (*.f64 (+.f64 (exp.f64 (log.f64 (fma.f64 (/.f64 1 (+.f64 z 1)) -3147848041806007/2500000000000 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)))))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))) | |
| 3.9b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (/.f64 (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))) (-.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (expm1.f64 (log1p.f64 (exp.f64 (+.f64 z 13/2))))))) | |
| 3.8b | (*.f64 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 (+.f64 13/2 z) (-.f64 z 1/2)) (exp.f64 (neg.f64 (+.f64 13/2 z))))) (sqrt.f64 (PI.f64))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8)))) | |
| 4.0b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (/.f64 (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 6765203681218851/10000000000000 z))) 3) 1/3) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))) (-.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))) | |
| 4.0b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (pow.f64 (exp.f64 1) 13/2) (exp.f64 z))))) | |
| 3.6b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (/.f64 (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 (fma.f64 (/.f64 1 (+.f64 z 2)) 7713234287776531/10000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))) (-.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))) | |
| 3.9b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (expm1.f64 (log1p.f64 (exp.f64 (-.f64 (*.f64 (+.f64 z -1/2) (log.f64 (+.f64 z 13/2))) (+.f64 z 13/2))))))) | |
| 3.8b | (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (-.f64 z -1))) (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (-.f64 z -1))))) (-.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (-.f64 z -1))))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8)))) | |
| 3.7b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (exp.f64 (log.f64 (fma.f64 (/.f64 1 z) 6765203681218851/10000000000000 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))))))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (*.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)) (exp.f64 (-.f64 -13/2 z))))) | |
| 3.8b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (exp.f64 (log.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (pow.f64 (cbrt.f64 (exp.f64 (+.f64 z 13/2))) 3)))) | |
| 4.0b | (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (*.f64 (+.f64 (exp.f64 (log.f64 (fma.f64 (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (*.f64 z z))) (/.f64 1 (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))) | |
| 3.6b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (/.f64 (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))) (-.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (*.f64 (neg.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))) (/.f64 1 (neg.f64 (exp.f64 (+.f64 z 13/2))))))) | |
| 3.8b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (pow.f64 (cbrt.f64 (exp.f64 (+.f64 z 13/2))) 3)))) | |
| 3.9b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (/.f64 (+.f64 (*.f64 (-.f64 (/.f64 9908947294301912793614221284049/6250000000000000000000000 (pow.f64 (+.f64 z 1) 2)) (/.f64 59493983178131529437839794393961/100000000000000000000000000 (pow.f64 (+.f64 z 2) 2))) (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z))) (*.f64 (-.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))) (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (*.f64 z z))))) (*.f64 (-.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))) (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))) | |
| 4.0b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (exp.f64 (log.f64 (/.f64 (fma.f64 (fma.f64 (+.f64 z 1) 7713234287776531/10000000000000 (fma.f64 z -3147848041806007/2500000000000 -3147848041806007/1250000000000)) (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (*.f64 (*.f64 (+.f64 z 1) (+.f64 z 2)) (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (*.f64 z z))))) (*.f64 (*.f64 (+.f64 z 1) (+.f64 z 2)) (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)))))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))) | |
| 4.0b | (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (*.f64 (+.f64 (exp.f64 (log.f64 (/.f64 (fma.f64 (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (*.f64 z z))) (*.f64 (+.f64 z 1) (+.f64 z 2)) (*.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (fma.f64 (+.f64 z 1) 7713234287776531/10000000000000 (fma.f64 z -3147848041806007/2500000000000 -3147848041806007/1250000000000)))) (*.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (*.f64 (+.f64 z 1) (+.f64 z 2)))))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))) | |
| 3.9b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (exp.f64 (neg.f64 z)) (/.f64 (exp.f64 13/2) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)))))) | |
| 4.5b | (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (*.f64 (+.f64 (exp.f64 (log.f64 (fma.f64 (cbrt.f64 (/.f64 9908947294301912793614221284049/6250000000000000000000000 (pow.f64 (+.f64 z 1) 2))) (cbrt.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)))))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))) | |
| 36.2b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (pow.f64 (pow.f64 (exp.f64 1) (+.f64 2197/8 (pow.f64 z 3))) (/.f64 1 (-.f64 (fma.f64 z z 169/4) (*.f64 z 13/2))))))) | |
| 4.6b | (*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 2)) 2)) (pow.f64 (*.f64 (PI.f64) 2) 1/6)) (*.f64 (+.f64 (/.f64 (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))) (-.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (expm1.f64 (log1p.f64 (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))))) | |
| 3.8b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (/.f64 (+.f64 (*.f64 (fma.f64 -3147848041806007/2500000000000 (+.f64 z 2) (*.f64 (+.f64 z 1) 7713234287776531/10000000000000)) (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z))) (*.f64 (*.f64 (+.f64 z 1) (+.f64 z 2)) (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (*.f64 z z))))) (*.f64 (*.f64 (+.f64 z 1) (+.f64 z 2)) (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (*.f64 (pow.f64 (+.f64 z 13/2) z) (*.f64 (pow.f64 (+.f64 z 13/2) -1/2) (exp.f64 (-.f64 (neg.f64 z) 13/2)))))) | |
| 3.7b | (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 (+.f64 999999999999429700000000108414029999993130164299/1000000000000000000000000000000000000000000000000 (pow.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (-.f64 z -1))) 3)) (+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (-.f64 (*.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (-.f64 z -1))) (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (-.f64 z -1)))) (*.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (-.f64 z -1))))))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8)))) | |
| 63.0b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (exp.f64 (-.f64 (*.f64 (+.f64 z -1/2) (log.f64 (+.f64 z 13/2))) (+.f64 z 13/2))))) | |
| 3.8b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (/.f64 (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))) (-.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (exp.f64 z) (exp.f64 13/2))))) | |
| 3.8b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (/.f64 (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))) (-.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (*.f64 (/.f64 1 (exp.f64 z)) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 13/2))))) | |
| ✓ | 3.6b | (*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 2)) 2)) (pow.f64 (*.f64 (PI.f64) 2) 1/6)) (*.f64 (+.f64 (/.f64 (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))) (-.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))) |
| 5.1b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (expm1.f64 (log1p.f64 (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (pow.f64 (exp.f64 (sqrt.f64 (+.f64 z 13/2))) (sqrt.f64 (+.f64 z 13/2)))))))) | |
| ✓ | 3.9b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (expm1.f64 (log1p.f64 (exp.f64 (+.f64 z 13/2))))))) |
| 3.9b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (/.f64 (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))) (-.f64 9999999999998099/10000000000000000 (fma.f64 (/.f64 1 (+.f64 z 2)) 7713234287776531/10000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))) | |
| 4.3b | (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 (PI.f64) 2))) 3) (*.f64 (+.f64 (exp.f64 (log.f64 (fma.f64 (/.f64 1 z) 6765203681218851/10000000000000 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))))))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))) | |
| 4.6b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (/.f64 (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))) (-.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (pow.f64 (E.f64) (+.f64 z 13/2))))) | |
| 53.4b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))) | |
| 4.0b | (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (*.f64 (+.f64 (exp.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))))) 3))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))) | |
| 4.3b | (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (pow.f64 (exp.f64 -1) (+.f64 (+.f64 z -1) 15/2))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8)))) | |
| 13.7b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (pow.f64 (/.f64 (pow.f64 (+.f64 z 13/2) (*.f64 (+.f64 z -1/2) 3)) (pow.f64 (exp.f64 (+.f64 z 13/2)) 3)) 1/3))) | |
| 3.8b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (/.f64 (+.f64 (*.f64 (fma.f64 -3147848041806007/2500000000000 (+.f64 z 2) (*.f64 (+.f64 z 1) 7713234287776531/10000000000000)) (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z))) (*.f64 (*.f64 (+.f64 z 1) (+.f64 z 2)) (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (*.f64 z z))))) (*.f64 (*.f64 (+.f64 z 1) (+.f64 z 2)) (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))) | |
| 3.7b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (cbrt.f64 (pow.f64 (exp.f64 (+.f64 z 13/2)) 3))))) | |
| ✓ | 3.7b | (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8)))) |
| 3.9b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 1 (/.f64 (exp.f64 13/2) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 z)))))) | |
| 3.7b | (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (*.f64 (+.f64 (/.f64 (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))) (-.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))) | |
| 3.9b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (/.f64 (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) (expm1.f64 (log1p.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 6765203681218851/10000000000000 z))))))) (-.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))) | |
| 3.9b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (exp.f64 (log.f64 (fma.f64 (/.f64 1 z) 6765203681218851/10000000000000 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))))))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (exp.f64 (-.f64 (*.f64 (+.f64 z -1/2) (log.f64 (+.f64 z 13/2))) (+.f64 z 13/2))))) | |
| 3.7b | (*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 z -1) 15/2) (+.f64 z -1/2))) (exp.f64 (+.f64 (+.f64 z -1) 15/2))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8)))) | |
| 3.9b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (exp.f64 (-.f64 (fma.f64 (+.f64 z -1/2) (log.f64 (+.f64 z 13/2)) -13/2) z)))) | |
| 4.0b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (/.f64 (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))) (-.f64 9999999999998099/10000000000000000 (fma.f64 (sqrt.f64 (/.f64 6765203681218851/10000000000000 z)) (sqrt.f64 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))) | |
| 3.9b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (/.f64 (+.f64 (*.f64 (-.f64 (/.f64 9908947294301912793614221284049/6250000000000000000000000 (pow.f64 (+.f64 z 1) 2)) (/.f64 59493983178131529437839794393961/100000000000000000000000000 (pow.f64 (+.f64 z 2) 2))) (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z))) (*.f64 (-.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))) (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (*.f64 z z))))) (*.f64 (-.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))) (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (*.f64 (pow.f64 (+.f64 z 13/2) z) (*.f64 (pow.f64 (+.f64 z 13/2) -1/2) (exp.f64 (-.f64 (neg.f64 z) 13/2)))))) | |
| 4.1b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (/.f64 (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 (fma.f64 (/.f64 -3147848041806007/2500000000000 (fma.f64 z z -1)) (-.f64 z 1) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 6765203681218851/10000000000000 z))) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))) (-.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))) | |
| 4.4b | (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 (PI.f64) 2))) 3) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))) | |
| 59.9b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 2649225437432109/5000000000000 (*.f64 z z)) (/.f64 -883075145810703/5000000000000 z)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)))) | |
| 3.6b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (/.f64 (+.f64 999999999999429700000000108414029999993130164299/1000000000000000000000000000000000000000000000000 (pow.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) 3)) (+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (-.f64 (*.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))))) (*.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (*.f64 (pow.f64 (+.f64 z 13/2) z) (*.f64 (pow.f64 (+.f64 z 13/2) -1/2) (exp.f64 (-.f64 (neg.f64 z) 13/2)))))) | |
| 3.7b | (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (exp.f64 (-.f64 -13/2 z))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8)))) | |
| 4.2b | (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 (+.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (*.f64 (*.f64 (-.f64 z -1) -2500000000000/3147848041806007) (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (*.f64 z z))))) (*.f64 (*.f64 (-.f64 z -1) -2500000000000/3147848041806007) (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8)))) | |
| 4.6b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (exp.f64 (log.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (pow.f64 (E.f64) (+.f64 z 13/2))))) | |
| ✓ | 3.7b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))) |
| 3.9b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (exp.f64 (-.f64 (*.f64 (+.f64 z -1/2) (log.f64 (+.f64 z 13/2))) (+.f64 z 13/2))))) | |
| 4.4b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (/.f64 (-.f64 (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))) (/.f64 59493983178131529437839794393961/100000000000000000000000000 (pow.f64 (+.f64 z 2) 2))) (-.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (pow.f64 (E.f64) (+.f64 z 13/2))))) | |
| 3.7b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) z) (/.f64 (exp.f64 (+.f64 z 13/2)) (pow.f64 (+.f64 z 13/2) -1/2))))) |
Compiled 12505 to 10520 computations (15.9% saved)
| Inputs |
|---|
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 -294358381936901/5000000000000 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) 2496092394504893/1500000000000000000000)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 -294358381936901/5000000000000 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 z))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 -294358381936901/5000000000000 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -883075145810703/5000000000000 z) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (-.f64 (*.f64 294358381936901/15000000000000 z) 294358381936901/5000000000000) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 (+.f64 z 13/2))))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 2649225437432109/5000000000000 (*.f64 z z)) (/.f64 -883075145810703/5000000000000 z)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (exp.f64 (-.f64 (*.f64 (+.f64 z -1/2) (log.f64 (+.f64 z 13/2))) (+.f64 z 13/2))))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 943522900885677/5000000000000 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (*.f64 943522900885677/5000000000000 (/.f64 1 z))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 943522900885677/5000000000000 z)) (/.f64 -1417538204164517/5000000000000 (*.f64 z z))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (-.f64 (+.f64 (*.f64 42652334381119581/40000000000000 z) (*.f64 6765203681218851/10000000000000 (/.f64 1 z))) 8724775023335764401/10000000000000000) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (*.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)) (exp.f64 (-.f64 -13/2 z))))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (*.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)) (exp.f64 (-.f64 -13/2 z))))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (exp.f64 (-.f64 (*.f64 (+.f64 z -1/2) (log.f64 (+.f64 z 13/2))) (+.f64 z 13/2))))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 1 (/.f64 (exp.f64 (+.f64 z 13/2)) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)))))) |
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(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 2)) 2)) (pow.f64 (*.f64 (PI.f64) 2) 1/6)) (*.f64 (+.f64 (/.f64 (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))) (-.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (expm1.f64 (log1p.f64 (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))))) |
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 2)) 2)) (pow.f64 (*.f64 (PI.f64) 2) 1/6)) (*.f64 (+.f64 (/.f64 (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))) (-.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (cbrt.f64 (pow.f64 (exp.f64 (+.f64 z 13/2)) 3))))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (/.f64 (+.f64 (*.f64 (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (*.f64 z z))) (+.f64 (/.f64 9908947294301912793614221284049/6250000000000000000000000 (pow.f64 (+.f64 z 1) 2)) (-.f64 (/.f64 59493983178131529437839794393961/100000000000000000000000000 (pow.f64 (+.f64 z 2) 2)) (/.f64 -24280089448768304182713669421717/25000000000000000000000000 (*.f64 (+.f64 z 1) (+.f64 z 2)))))) (*.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (pow.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) 3) (/.f64 458891030965964263706993392018425544321343929291/1000000000000000000000000000000000000000 (pow.f64 (+.f64 z 2) 3))))) (*.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 9908947294301912793614221284049/6250000000000000000000000 (pow.f64 (+.f64 z 1) 2)) (-.f64 (/.f64 59493983178131529437839794393961/100000000000000000000000000 (pow.f64 (+.f64 z 2) 2)) (/.f64 -24280089448768304182713669421717/25000000000000000000000000 (*.f64 (+.f64 z 1) (+.f64 z 2))))))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))) |
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 2)) 2)) (sqrt.f64 (cbrt.f64 (*.f64 (PI.f64) 2)))) (*.f64 (+.f64 (exp.f64 (log.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))) |
(*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (*.f64 (+.f64 (exp.f64 (log.f64 (fma.f64 (cbrt.f64 (/.f64 9908947294301912793614221284049/6250000000000000000000000 (pow.f64 (+.f64 z 1) 2))) (cbrt.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)))))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (exp.f64 (log.f64 (fma.f64 (/.f64 1 z) 6765203681218851/10000000000000 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))))))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 z 13/2))) 2) (cbrt.f64 (exp.f64 (+.f64 z 13/2))))))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (exp.f64 (log.f64 (fma.f64 (/.f64 1 z) 6765203681218851/10000000000000 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))))))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 z 13/2))) 2)) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (cbrt.f64 (exp.f64 (+.f64 z 13/2))))))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (*.f64 (/.f64 (sqrt.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))) (pow.f64 (cbrt.f64 (exp.f64 (+.f64 z 13/2))) 2)) (/.f64 (sqrt.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))) (cbrt.f64 (exp.f64 (+.f64 z 13/2))))))) |
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 2)) 2)) (sqrt.f64 (cbrt.f64 (*.f64 (PI.f64) 2)))) (*.f64 (+.f64 (/.f64 (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))) (-.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (cbrt.f64 (pow.f64 (exp.f64 (+.f64 z 13/2)) 3))))) |
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 2)) 2)) (sqrt.f64 (cbrt.f64 (*.f64 (PI.f64) 2)))) (*.f64 (+.f64 (/.f64 (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))) (-.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (pow.f64 (cbrt.f64 (exp.f64 (+.f64 z 13/2))) 3)))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (/.f64 (+.f64 (*.f64 (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (*.f64 z z))) (+.f64 (/.f64 9908947294301912793614221284049/6250000000000000000000000 (pow.f64 (+.f64 z 1) 2)) (-.f64 (/.f64 59493983178131529437839794393961/100000000000000000000000000 (pow.f64 (+.f64 z 2) 2)) (/.f64 -24280089448768304182713669421717/25000000000000000000000000 (*.f64 (+.f64 z 1) (+.f64 z 2)))))) (*.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (pow.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) 3) (/.f64 458891030965964263706993392018425544321343929291/1000000000000000000000000000000000000000 (pow.f64 (+.f64 z 2) 3))))) (*.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 9908947294301912793614221284049/6250000000000000000000000 (pow.f64 (+.f64 z 1) 2)) (-.f64 (/.f64 59493983178131529437839794393961/100000000000000000000000000 (pow.f64 (+.f64 z 2) 2)) (/.f64 -24280089448768304182713669421717/25000000000000000000000000 (*.f64 (+.f64 z 1) (+.f64 z 2))))))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (pow.f64 (E.f64) (+.f64 z 13/2))))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (/.f64 (+.f64 (*.f64 (+.f64 (pow.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) 3) (/.f64 458891030965964263706993392018425544321343929291/1000000000000000000000000000000000000000 (pow.f64 (+.f64 z 2) 3))) (+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (-.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (*.f64 z z)) (*.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z))))) (*.f64 (+.f64 (/.f64 9908947294301912793614221284049/6250000000000000000000000 (pow.f64 (+.f64 z 1) 2)) (-.f64 (/.f64 59493983178131529437839794393961/100000000000000000000000000 (pow.f64 (+.f64 z 2) 2)) (/.f64 -24280089448768304182713669421717/25000000000000000000000000 (*.f64 (+.f64 z 1) (+.f64 z 2))))) (+.f64 999999999999429700000000108414029999993130164299/1000000000000000000000000000000000000000000000000 (/.f64 309629712517394580428200722024092610534658749051/1000000000000000000000000000000000000000 (pow.f64 z 3))))) (*.f64 (+.f64 (/.f64 9908947294301912793614221284049/6250000000000000000000000 (pow.f64 (+.f64 z 1) 2)) (-.f64 (/.f64 59493983178131529437839794393961/100000000000000000000000000 (pow.f64 (+.f64 z 2) 2)) (/.f64 -24280089448768304182713669421717/25000000000000000000000000 (*.f64 (+.f64 z 1) (+.f64 z 2))))) (+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (-.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (*.f64 z z)) (*.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)))))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))) |
| Outputs |
|---|
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 2)) 2)) (pow.f64 (*.f64 (PI.f64) 2) 1/6)) (*.f64 (+.f64 (/.f64 (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))) (-.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (/.f64 (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))) (-.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (exp.f64 (-.f64 (*.f64 (+.f64 z -1/2) (log.f64 (+.f64 z 13/2))) (+.f64 z 13/2))))) |
4 calls:
| 689.0ms | z |
| 527.0ms | (-.f64 z 1) |
| 492.0ms | (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8)))) |
| 392.0ms | (-.f64 z 1) |
| Error | Segments | Branch |
|---|---|---|
| 2.3b | 2 | z |
| 2.3b | 2 | (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8)))) |
| 2.3b | 2 | (-.f64 z 1) |
| 2.3b | 2 | (-.f64 z 1) |
Compiled 19162 to 15777 computations (17.7% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 138.9291645587103 | 150.24019606169597 |
Compiled 79 to 67 computations (15.2% saved)
| Inputs |
|---|
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(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))) |
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(*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (fma.f64 (pow.f64 (cbrt.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z))) 2) (cbrt.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 z -1))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8)))) |
(*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (*.f64 (+.f64 (exp.f64 (log.f64 (/.f64 (-.f64 (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))) (/.f64 59493983178131529437839794393961/100000000000000000000000000 (pow.f64 (+.f64 z 2) 2))) (-.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))) |
(*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (expm1.f64 (log1p.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 1 (/.f64 (-.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 z -1))) (-.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) 2) (/.f64 9908947294301912793614221284049/6250000000000000000000000 (pow.f64 (-.f64 z -1) 2))))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8)))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (/.f64 (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))) (-.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (+.f64 z 13/2)) 2)) (cbrt.f64 (+.f64 z 13/2)))))) |
| Outputs |
|---|
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (/.f64 (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))) (-.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (/.f64 (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))) (-.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (exp.f64 (-.f64 (*.f64 (+.f64 z -1/2) (log.f64 (+.f64 z 13/2))) (+.f64 z 13/2))))) |
4 calls:
| 547.0ms | (-.f64 z 1) |
| 534.0ms | (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8)))) |
| 527.0ms | z |
| 388.0ms | (-.f64 z 1) |
| Error | Segments | Branch |
|---|---|---|
| 2.3b | 2 | z |
| 2.3b | 2 | (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8)))) |
| 2.3b | 2 | (-.f64 z 1) |
| 2.3b | 2 | (-.f64 z 1) |
Compiled 16606 to 13684 computations (17.6% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 138.9291645587103 | 150.24019606169597 |
Compiled 79 to 67 computations (15.2% saved)
| Inputs |
|---|
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 -294358381936901/5000000000000 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) 2496092394504893/1500000000000000000000)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 -294358381936901/5000000000000 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 z))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 -294358381936901/5000000000000 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -883075145810703/5000000000000 z) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (-.f64 (*.f64 294358381936901/15000000000000 z) 294358381936901/5000000000000) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 (+.f64 z 13/2))))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 2649225437432109/5000000000000 (*.f64 z z)) (/.f64 -883075145810703/5000000000000 z)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (exp.f64 (-.f64 (*.f64 (+.f64 z -1/2) (log.f64 (+.f64 z 13/2))) (+.f64 z 13/2))))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 943522900885677/5000000000000 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (*.f64 943522900885677/5000000000000 (/.f64 1 z))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 943522900885677/5000000000000 z)) (/.f64 -1417538204164517/5000000000000 (*.f64 z z))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (-.f64 (+.f64 (*.f64 42652334381119581/40000000000000 z) (*.f64 6765203681218851/10000000000000 (/.f64 1 z))) 8724775023335764401/10000000000000000) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (*.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)) (exp.f64 (-.f64 -13/2 z))))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (*.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)) (exp.f64 (-.f64 -13/2 z))))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (exp.f64 (-.f64 (*.f64 (+.f64 z -1/2) (log.f64 (+.f64 z 13/2))) (+.f64 z 13/2))))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 1 (/.f64 (exp.f64 (+.f64 z 13/2)) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)))))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 1 (/.f64 (exp.f64 (+.f64 z 13/2)) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)))))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (-.f64 (+.f64 (exp.f64 (+.f64 z 13/2)) 1) 1)))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (*.f64 (neg.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))) (/.f64 1 (neg.f64 (exp.f64 (+.f64 z 13/2))))))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (-.f64 (+.f64 (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))) 1) 1))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (*.f64 (neg.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))) (/.f64 1 (neg.f64 (exp.f64 (+.f64 z 13/2))))))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (*.f64 (neg.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))) (/.f64 1 (neg.f64 (exp.f64 (+.f64 z 13/2))))))) |
(*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 z -1) 15/2) (+.f64 z -1/2))) (exp.f64 (+.f64 (+.f64 z -1) 15/2))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8)))) |
(*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (exp.f64 (-.f64 -13/2 z))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8)))) |
(*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (*.f64 1 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (-.f64 z -1))))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8)))) |
(*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (/.f64 1 (exp.f64 (+.f64 (+.f64 z -1) 15/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8)))) |
(*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8)))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (/.f64 (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))) (-.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (*.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)) (exp.f64 (-.f64 -13/2 z))))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (/.f64 (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))) (-.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))) |
| Outputs |
|---|
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (/.f64 (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))) (-.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (exp.f64 (-.f64 (*.f64 (+.f64 z -1/2) (log.f64 (+.f64 z 13/2))) (+.f64 z 13/2))))) |
3 calls:
| 127.0ms | (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8)))) |
| 79.0ms | z |
| 72.0ms | (-.f64 z 1) |
| Error | Segments | Branch |
|---|---|---|
| 2.3b | 2 | z |
| 2.3b | 2 | (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8)))) |
| 2.3b | 2 | (-.f64 z 1) |
Compiled 2307 to 1930 computations (16.3% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 6.777629721983437e+238 | +inf |
Compiled 99 to 87 computations (12.1% saved)
| Inputs |
|---|
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(*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (/.f64 1 (exp.f64 (+.f64 (+.f64 z -1) 15/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8)))) |
(*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8)))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (/.f64 (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))) (-.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (*.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)) (exp.f64 (-.f64 -13/2 z))))) |
| Outputs |
|---|
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (/.f64 (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))) (-.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (*.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)) (exp.f64 (-.f64 -13/2 z))))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (exp.f64 (-.f64 (*.f64 (+.f64 z -1/2) (log.f64 (+.f64 z 13/2))) (+.f64 z 13/2))))) |
3 calls:
| 65.0ms | (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8)))) |
| 64.0ms | (-.f64 z 1) |
| 64.0ms | z |
| Error | Segments | Branch |
|---|---|---|
| 2.3b | 2 | z |
| 2.3b | 2 | (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8)))) |
| 2.3b | 2 | (-.f64 z 1) |
Compiled 2208 to 1849 computations (16.3% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 6.777629721983437e+238 | +inf |
Compiled 99 to 87 computations (12.1% saved)
| Inputs |
|---|
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 -294358381936901/5000000000000 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) 2496092394504893/1500000000000000000000)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 -294358381936901/5000000000000 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 z))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 -294358381936901/5000000000000 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -883075145810703/5000000000000 z) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (-.f64 (*.f64 294358381936901/15000000000000 z) 294358381936901/5000000000000) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 (+.f64 z 13/2))))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 2649225437432109/5000000000000 (*.f64 z z)) (/.f64 -883075145810703/5000000000000 z)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (exp.f64 (-.f64 (*.f64 (+.f64 z -1/2) (log.f64 (+.f64 z 13/2))) (+.f64 z 13/2))))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 943522900885677/5000000000000 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (*.f64 943522900885677/5000000000000 (/.f64 1 z))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 943522900885677/5000000000000 z)) (/.f64 -1417538204164517/5000000000000 (*.f64 z z))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (-.f64 (+.f64 (*.f64 42652334381119581/40000000000000 z) (*.f64 6765203681218851/10000000000000 (/.f64 1 z))) 8724775023335764401/10000000000000000) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (*.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)) (exp.f64 (-.f64 -13/2 z))))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (*.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)) (exp.f64 (-.f64 -13/2 z))))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (exp.f64 (-.f64 (*.f64 (+.f64 z -1/2) (log.f64 (+.f64 z 13/2))) (+.f64 z 13/2))))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 1 (/.f64 (exp.f64 (+.f64 z 13/2)) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)))))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 1 (/.f64 (exp.f64 (+.f64 z 13/2)) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)))))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (-.f64 (+.f64 (exp.f64 (+.f64 z 13/2)) 1) 1)))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (*.f64 (neg.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))) (/.f64 1 (neg.f64 (exp.f64 (+.f64 z 13/2))))))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (-.f64 (+.f64 (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))) 1) 1))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (*.f64 (neg.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))) (/.f64 1 (neg.f64 (exp.f64 (+.f64 z 13/2))))))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (*.f64 (neg.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))) (/.f64 1 (neg.f64 (exp.f64 (+.f64 z 13/2))))))) |
(*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 z -1) 15/2) (+.f64 z -1/2))) (exp.f64 (+.f64 (+.f64 z -1) 15/2))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8)))) |
(*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (exp.f64 (-.f64 -13/2 z))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8)))) |
(*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (*.f64 1 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (-.f64 z -1))))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8)))) |
(*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (/.f64 1 (exp.f64 (+.f64 (+.f64 z -1) 15/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8)))) |
(*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8)))) |
| Outputs |
|---|
(*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (*.f64 1 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (-.f64 z -1))))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8)))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (exp.f64 (-.f64 (*.f64 (+.f64 z -1/2) (log.f64 (+.f64 z 13/2))) (+.f64 z 13/2))))) |
3 calls:
| 139.0ms | (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8)))) |
| 119.0ms | z |
| 71.0ms | (-.f64 z 1) |
| Error | Segments | Branch |
|---|---|---|
| 2.3b | 2 | z |
| 2.3b | 2 | (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8)))) |
| 2.3b | 2 | (-.f64 z 1) |
Compiled 2109 to 1768 computations (16.2% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 6.777629721983437e+238 | +inf |
Compiled 99 to 87 computations (12.1% saved)
| Inputs |
|---|
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 -294358381936901/5000000000000 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) 2496092394504893/1500000000000000000000)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 -294358381936901/5000000000000 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 z))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 -294358381936901/5000000000000 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -883075145810703/5000000000000 z) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (-.f64 (*.f64 294358381936901/15000000000000 z) 294358381936901/5000000000000) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 (+.f64 z 13/2))))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 2649225437432109/5000000000000 (*.f64 z z)) (/.f64 -883075145810703/5000000000000 z)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (exp.f64 (-.f64 (*.f64 (+.f64 z -1/2) (log.f64 (+.f64 z 13/2))) (+.f64 z 13/2))))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 943522900885677/5000000000000 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (*.f64 943522900885677/5000000000000 (/.f64 1 z))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 943522900885677/5000000000000 z)) (/.f64 -1417538204164517/5000000000000 (*.f64 z z))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (-.f64 (+.f64 (*.f64 42652334381119581/40000000000000 z) (*.f64 6765203681218851/10000000000000 (/.f64 1 z))) 8724775023335764401/10000000000000000) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (*.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)) (exp.f64 (-.f64 -13/2 z))))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (*.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)) (exp.f64 (-.f64 -13/2 z))))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (exp.f64 (-.f64 (*.f64 (+.f64 z -1/2) (log.f64 (+.f64 z 13/2))) (+.f64 z 13/2))))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 1 (/.f64 (exp.f64 (+.f64 z 13/2)) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)))))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 1 (/.f64 (exp.f64 (+.f64 z 13/2)) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)))))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (-.f64 (+.f64 (exp.f64 (+.f64 z 13/2)) 1) 1)))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (*.f64 (neg.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))) (/.f64 1 (neg.f64 (exp.f64 (+.f64 z 13/2))))))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (-.f64 (+.f64 (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))) 1) 1))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (*.f64 (neg.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))) (/.f64 1 (neg.f64 (exp.f64 (+.f64 z 13/2))))))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (*.f64 (neg.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))) (/.f64 1 (neg.f64 (exp.f64 (+.f64 z 13/2))))))) |
(*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 z -1) 15/2) (+.f64 z -1/2))) (exp.f64 (+.f64 (+.f64 z -1) 15/2))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8)))) |
(*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (exp.f64 (-.f64 -13/2 z))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8)))) |
| Outputs |
|---|
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 1 (/.f64 (exp.f64 (+.f64 z 13/2)) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)))))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (exp.f64 (-.f64 (*.f64 (+.f64 z -1/2) (log.f64 (+.f64 z 13/2))) (+.f64 z 13/2))))) |
1 calls:
| 106.0ms | z |
| Error | Segments | Branch |
|---|---|---|
| 2.4b | 2 | z |
Compiled 1733 to 1440 computations (16.9% saved)
| 1× | binary-search |
| Time | Left | Right |
|---|---|---|
| 190.0ms | 139.9291645587103 | 151.24019606169597 |
Compiled 99 to 87 computations (12.1% saved)
| Inputs |
|---|
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 -294358381936901/5000000000000 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) 2496092394504893/1500000000000000000000)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 -294358381936901/5000000000000 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 z))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 -294358381936901/5000000000000 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -883075145810703/5000000000000 z) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (-.f64 (*.f64 294358381936901/15000000000000 z) 294358381936901/5000000000000) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 (+.f64 z 13/2))))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 2649225437432109/5000000000000 (*.f64 z z)) (/.f64 -883075145810703/5000000000000 z)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (exp.f64 (-.f64 (*.f64 (+.f64 z -1/2) (log.f64 (+.f64 z 13/2))) (+.f64 z 13/2))))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 943522900885677/5000000000000 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (*.f64 943522900885677/5000000000000 (/.f64 1 z))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 943522900885677/5000000000000 z)) (/.f64 -1417538204164517/5000000000000 (*.f64 z z))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (-.f64 (+.f64 (*.f64 42652334381119581/40000000000000 z) (*.f64 6765203681218851/10000000000000 (/.f64 1 z))) 8724775023335764401/10000000000000000) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (*.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)) (exp.f64 (-.f64 -13/2 z))))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (*.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)) (exp.f64 (-.f64 -13/2 z))))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (exp.f64 (-.f64 (*.f64 (+.f64 z -1/2) (log.f64 (+.f64 z 13/2))) (+.f64 z 13/2))))) |
| Outputs |
|---|
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (exp.f64 (-.f64 (*.f64 (+.f64 z -1/2) (log.f64 (+.f64 z 13/2))) (+.f64 z 13/2))))) |
1 calls:
| 48.0ms | z |
| Error | Segments | Branch |
|---|---|---|
| 2.4b | 2 | z |
Compiled 1078 to 893 computations (17.2% saved)
| 1× | binary-search |
| Time | Left | Right |
|---|---|---|
| 206.0ms | 139.9291645587103 | 151.24019606169597 |
Compiled 99 to 87 computations (12.1% saved)
| Inputs |
|---|
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 -294358381936901/5000000000000 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) 2496092394504893/1500000000000000000000)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 -294358381936901/5000000000000 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 z))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 -294358381936901/5000000000000 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -883075145810703/5000000000000 z) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (-.f64 (*.f64 294358381936901/15000000000000 z) 294358381936901/5000000000000) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 (+.f64 z 13/2))))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 2649225437432109/5000000000000 (*.f64 z z)) (/.f64 -883075145810703/5000000000000 z)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (exp.f64 (-.f64 (*.f64 (+.f64 z -1/2) (log.f64 (+.f64 z 13/2))) (+.f64 z 13/2))))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 943522900885677/5000000000000 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (*.f64 943522900885677/5000000000000 (/.f64 1 z))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 943522900885677/5000000000000 z)) (/.f64 -1417538204164517/5000000000000 (*.f64 z z))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (-.f64 (+.f64 (*.f64 42652334381119581/40000000000000 z) (*.f64 6765203681218851/10000000000000 (/.f64 1 z))) 8724775023335764401/10000000000000000) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (*.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)) (exp.f64 (-.f64 -13/2 z))))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (*.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)) (exp.f64 (-.f64 -13/2 z))))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))) |
| Outputs |
|---|
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))) |
1 calls:
| 25.0ms | z |
| Error | Segments | Branch |
|---|---|---|
| 3.7b | 1 | z |
Compiled 1012 to 839 computations (17.1% saved)
| Inputs |
|---|
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 -294358381936901/5000000000000 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) 2496092394504893/1500000000000000000000)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 -294358381936901/5000000000000 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 z))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 -294358381936901/5000000000000 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -883075145810703/5000000000000 z) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (-.f64 (*.f64 294358381936901/15000000000000 z) 294358381936901/5000000000000) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 (+.f64 z 13/2))))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 2649225437432109/5000000000000 (*.f64 z z)) (/.f64 -883075145810703/5000000000000 z)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (exp.f64 (-.f64 (*.f64 (+.f64 z -1/2) (log.f64 (+.f64 z 13/2))) (+.f64 z 13/2))))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 943522900885677/5000000000000 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (*.f64 943522900885677/5000000000000 (/.f64 1 z))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 943522900885677/5000000000000 z)) (/.f64 -1417538204164517/5000000000000 (*.f64 z z))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (-.f64 (+.f64 (*.f64 42652334381119581/40000000000000 z) (*.f64 6765203681218851/10000000000000 (/.f64 1 z))) 8724775023335764401/10000000000000000) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (*.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)) (exp.f64 (-.f64 -13/2 z))))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (*.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)) (exp.f64 (-.f64 -13/2 z))))) |
| Outputs |
|---|
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (*.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)) (exp.f64 (-.f64 -13/2 z))))) |
1 calls:
| 24.0ms | z |
| Error | Segments | Branch |
|---|---|---|
| 3.7b | 1 | z |
Compiled 947 to 786 computations (17% saved)
| Inputs |
|---|
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 -294358381936901/5000000000000 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) 2496092394504893/1500000000000000000000)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 -294358381936901/5000000000000 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 z))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 -294358381936901/5000000000000 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -883075145810703/5000000000000 z) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (-.f64 (*.f64 294358381936901/15000000000000 z) 294358381936901/5000000000000) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 (+.f64 z 13/2))))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 2649225437432109/5000000000000 (*.f64 z z)) (/.f64 -883075145810703/5000000000000 z)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (exp.f64 (-.f64 (*.f64 (+.f64 z -1/2) (log.f64 (+.f64 z 13/2))) (+.f64 z 13/2))))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 943522900885677/5000000000000 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (*.f64 943522900885677/5000000000000 (/.f64 1 z))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 943522900885677/5000000000000 z)) (/.f64 -1417538204164517/5000000000000 (*.f64 z z))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (-.f64 (+.f64 (*.f64 42652334381119581/40000000000000 z) (*.f64 6765203681218851/10000000000000 (/.f64 1 z))) 8724775023335764401/10000000000000000) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))) |
| Outputs |
|---|
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 943522900885677/5000000000000 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 943522900885677/5000000000000 z)) (/.f64 -1417538204164517/5000000000000 (*.f64 z z))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))) |
1 calls:
| 47.0ms | z |
| Error | Segments | Branch |
|---|---|---|
| 48.8b | 2 | z |
Compiled 817 to 680 computations (16.8% saved)
| 1× | binary-search |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 10.693816435545063 | 10.984449568300207 |
Compiled 99 to 87 computations (12.1% saved)
| Inputs |
|---|
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 -294358381936901/5000000000000 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) 2496092394504893/1500000000000000000000)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 -294358381936901/5000000000000 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 z))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 -294358381936901/5000000000000 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -883075145810703/5000000000000 z) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (-.f64 (*.f64 294358381936901/15000000000000 z) 294358381936901/5000000000000) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 (+.f64 z 13/2))))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 2649225437432109/5000000000000 (*.f64 z z)) (/.f64 -883075145810703/5000000000000 z)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (exp.f64 (-.f64 (*.f64 (+.f64 z -1/2) (log.f64 (+.f64 z 13/2))) (+.f64 z 13/2))))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 943522900885677/5000000000000 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (*.f64 943522900885677/5000000000000 (/.f64 1 z))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)))) |
| Outputs |
|---|
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 943522900885677/5000000000000 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))) |
1 calls:
| 12.0ms | z |
| Error | Segments | Branch |
|---|---|---|
| 49.9b | 1 | z |
Compiled 699 to 586 computations (16.2% saved)
| Inputs |
|---|
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 -294358381936901/5000000000000 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) 2496092394504893/1500000000000000000000)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 -294358381936901/5000000000000 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 z))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 -294358381936901/5000000000000 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -883075145810703/5000000000000 z) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (-.f64 (*.f64 294358381936901/15000000000000 z) 294358381936901/5000000000000) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 (+.f64 z 13/2))))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 2649225437432109/5000000000000 (*.f64 z z)) (/.f64 -883075145810703/5000000000000 z)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (exp.f64 (-.f64 (*.f64 (+.f64 z -1/2) (log.f64 (+.f64 z 13/2))) (+.f64 z 13/2))))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))) |
| Outputs |
|---|
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))) |
1 calls:
| 14.0ms | z |
| Error | Segments | Branch |
|---|---|---|
| 53.4b | 1 | z |
Compiled 475 to 400 computations (15.8% saved)
| Inputs |
|---|
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 -294358381936901/5000000000000 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) 2496092394504893/1500000000000000000000)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 -294358381936901/5000000000000 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 z))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 -294358381936901/5000000000000 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -883075145810703/5000000000000 z) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (-.f64 (*.f64 294358381936901/15000000000000 z) 294358381936901/5000000000000) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 (+.f64 z 13/2))))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 2649225437432109/5000000000000 (*.f64 z z)) (/.f64 -883075145810703/5000000000000 z)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (exp.f64 (-.f64 (*.f64 (+.f64 z -1/2) (log.f64 (+.f64 z 13/2))) (+.f64 z 13/2))))) |
| Outputs |
|---|
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 2649225437432109/5000000000000 (*.f64 z z)) (/.f64 -883075145810703/5000000000000 z)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (-.f64 (*.f64 294358381936901/15000000000000 z) 294358381936901/5000000000000) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)))) |
1 calls:
| 27.0ms | z |
| Error | Segments | Branch |
|---|---|---|
| 56.4b | 2 | z |
Compiled 424 to 359 computations (15.3% saved)
| 1× | binary-search |
| Time | Left | Right |
|---|---|---|
| 188.0ms | 2.839927053313225 | 3.014979384526077 |
Compiled 99 to 87 computations (12.1% saved)
| Inputs |
|---|
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 -294358381936901/5000000000000 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) 2496092394504893/1500000000000000000000)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 -294358381936901/5000000000000 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 z))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 -294358381936901/5000000000000 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -883075145810703/5000000000000 z) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (-.f64 (*.f64 294358381936901/15000000000000 z) 294358381936901/5000000000000) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 (+.f64 z 13/2))))) |
| Outputs |
|---|
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (-.f64 (*.f64 294358381936901/15000000000000 z) 294358381936901/5000000000000) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)))) |
1 calls:
| 11.0ms | z |
| Error | Segments | Branch |
|---|---|---|
| 59.5b | 1 | z |
Compiled 279 to 240 computations (14% saved)
| Inputs |
|---|
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 -294358381936901/5000000000000 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) 2496092394504893/1500000000000000000000)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 -294358381936901/5000000000000 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 z))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 -294358381936901/5000000000000 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -883075145810703/5000000000000 z) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)))) |
| Outputs |
|---|
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -883075145810703/5000000000000 z) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)))) |
1 calls:
| 9.0ms | z |
| Error | Segments | Branch |
|---|---|---|
| 63.1b | 1 | z |
Compiled 151 to 131 computations (13.2% saved)
Total -0.0b remaining (-0%)
Threshold costs -0.0b (-0%)
| Inputs |
|---|
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 -294358381936901/5000000000000 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) 2496092394504893/1500000000000000000000)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 -294358381936901/5000000000000 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 z))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 -294358381936901/5000000000000 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)))) |
| Outputs |
|---|
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 -294358381936901/5000000000000 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 z))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)))) |
1 calls:
| 8.0ms | z |
| Error | Segments | Branch |
|---|---|---|
| 63.1b | 1 | z |
Compiled 111 to 97 computations (12.6% saved)
| 1× | egg-herbie |
| 84× | +-commutative_binary64 |
| 52× | *-commutative_binary64 |
| 19× | sub-neg_binary64 |
| 12× | distribute-neg-in_binary64 |
| 11× | neg-sub0_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 220 | 3145 |
| 1 | 357 | 3145 |
| 2 | 389 | 3137 |
| 3 | 419 | 3137 |
| 4 | 443 | 3137 |
| 5 | 450 | 3137 |
| 6 | 452 | 3137 |
| 1× | fuel |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 (-.f64 z 1) 150) (*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 2)) 2)) (pow.f64 (*.f64 (PI.f64) 2) 1/6)) (*.f64 (+.f64 (/.f64 (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))) (-.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (/.f64 (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))) (-.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (exp.f64 (-.f64 (*.f64 (+.f64 z -1/2) (log.f64 (+.f64 z 13/2))) (+.f64 z 13/2)))))) |
(if (<=.f64 (-.f64 z 1) 150) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (/.f64 (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))) (-.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (/.f64 (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))) (-.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (exp.f64 (-.f64 (*.f64 (+.f64 z -1/2) (log.f64 (+.f64 z 13/2))) (+.f64 z 13/2)))))) |
(if (<=.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8)))) 99999999999999999081179145438220670296706622164632687453780292502155740721970192601122065475966761298087599260657287627887017431169472094235452683230716826407562484594165232135299736843791138087983021771402091458056119576436948334022754304) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (/.f64 (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))) (-.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (exp.f64 (-.f64 (*.f64 (+.f64 z -1/2) (log.f64 (+.f64 z 13/2))) (+.f64 z 13/2)))))) |
(if (<=.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8)))) 99999999999999999081179145438220670296706622164632687453780292502155740721970192601122065475966761298087599260657287627887017431169472094235452683230716826407562484594165232135299736843791138087983021771402091458056119576436948334022754304) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (/.f64 (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))) (-.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (*.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)) (exp.f64 (-.f64 -13/2 z))))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (exp.f64 (-.f64 (*.f64 (+.f64 z -1/2) (log.f64 (+.f64 z 13/2))) (+.f64 z 13/2)))))) |
(if (<=.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8)))) 99999999999999999081179145438220670296706622164632687453780292502155740721970192601122065475966761298087599260657287627887017431169472094235452683230716826407562484594165232135299736843791138087983021771402091458056119576436948334022754304) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (*.f64 1 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (-.f64 z -1))))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8)))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (exp.f64 (-.f64 (*.f64 (+.f64 z -1/2) (log.f64 (+.f64 z 13/2))) (+.f64 z 13/2)))))) |
(if (<=.f64 z 4923319791913067/35184372088832) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 1 (/.f64 (exp.f64 (+.f64 z 13/2)) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)))))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (exp.f64 (-.f64 (*.f64 (+.f64 z -1/2) (log.f64 (+.f64 z 13/2))) (+.f64 z 13/2)))))) |
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(if (<=.f64 z 3039929748475085/281474976710656) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 943522900885677/5000000000000 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 943522900885677/5000000000000 z)) (/.f64 -1417538204164517/5000000000000 (*.f64 z z))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 943522900885677/5000000000000 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))) |
(if (<=.f64 z 6394947209530415/2251799813685248) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 2649225437432109/5000000000000 (*.f64 z z)) (/.f64 -883075145810703/5000000000000 z)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (-.f64 (*.f64 294358381936901/15000000000000 z) 294358381936901/5000000000000) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (-.f64 (*.f64 294358381936901/15000000000000 z) 294358381936901/5000000000000) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -883075145810703/5000000000000 z) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 -294358381936901/5000000000000 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 z))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 -294358381936901/5000000000000 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) 2496092394504893/1500000000000000000000)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)))) |
| Outputs |
|---|
(if (<=.f64 (-.f64 z 1) 150) (*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 2)) 2)) (pow.f64 (*.f64 (PI.f64) 2) 1/6)) (*.f64 (+.f64 (/.f64 (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))) (-.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (/.f64 (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))) (-.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (exp.f64 (-.f64 (*.f64 (+.f64 z -1/2) (log.f64 (+.f64 z 13/2))) (+.f64 z 13/2)))))) |
(if (<=.f64 (+.f64 z -1) 150) (*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 2)) 2)) (pow.f64 (*.f64 (PI.f64) 2) 1/6)) (*.f64 (+.f64 (/.f64 (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))) (-.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (/.f64 (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))) (-.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (exp.f64 (-.f64 (*.f64 (+.f64 z -1/2) (log.f64 (+.f64 z 13/2))) (+.f64 z 13/2)))))) |
(if (<=.f64 (+.f64 z -1) 150) (*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 2)) 2)) (pow.f64 (*.f64 (PI.f64) 2) 1/6)) (*.f64 (+.f64 (/.f64 (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))) (-.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (/.f64 (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))) (-.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (exp.f64 (+.f64 (*.f64 (+.f64 z -1/2) (log.f64 (+.f64 z 13/2))) (-.f64 -13/2 z)))))) |
(if (<=.f64 (+.f64 z -1) 150) (*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 2)) 2)) (pow.f64 (*.f64 (PI.f64) 2) 1/6)) (*.f64 (+.f64 (/.f64 (+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) (-.f64 (/.f64 -6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))) (+.f64 9999999999998099/10000000000000000 (-.f64 (/.f64 -6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (/.f64 (+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) (-.f64 (/.f64 -6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))) (+.f64 9999999999998099/10000000000000000 (-.f64 (/.f64 -6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (exp.f64 (+.f64 (*.f64 (+.f64 z -1/2) (log.f64 (+.f64 z 13/2))) (-.f64 -13/2 z)))))) |
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(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 943522900885677/5000000000000 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))) (+.f64 9999999999998099/10000000000000000 (/.f64 943522900885677/5000000000000 z))))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))))) |
(if (<=.f64 z 6394947209530415/2251799813685248) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 2649225437432109/5000000000000 (*.f64 z z)) (/.f64 -883075145810703/5000000000000 z)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (-.f64 (*.f64 294358381936901/15000000000000 z) 294358381936901/5000000000000) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))))) |
(if (<=.f64 z 6394947209530415/2251799813685248) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))) (+.f64 (/.f64 2649225437432109/5000000000000 (*.f64 z z)) (/.f64 -883075145810703/5000000000000 z)))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))) (+.f64 (*.f64 z 294358381936901/15000000000000) -294358381936901/5000000000000)))))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (-.f64 (*.f64 294358381936901/15000000000000 z) 294358381936901/5000000000000) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))) (+.f64 (*.f64 z 294358381936901/15000000000000) -294358381936901/5000000000000))))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -883075145810703/5000000000000 z) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))) (/.f64 -883075145810703/5000000000000 z))))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 -294358381936901/5000000000000 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 z))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) (+.f64 9999999999998099/10000000000000000 (+.f64 -294358381936901/5000000000000 (+.f64 (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (/.f64 2496092394504893/250000000000000000000 z)))))))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 -294358381936901/5000000000000 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) 2496092394504893/1500000000000000000000)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) (+.f64 9999999999998099/10000000000000000 (+.f64 -294358381936901/5000000000000 (+.f64 (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) 2496092394504893/1500000000000000000000))))))) |
Compiled 2073 to 1742 computations (16% saved)
| 2× | egg-herbie |
| 867× | times-frac_binary64 |
| 867× | times-frac_binary64 |
| 687× | fma-def_binary64 |
| 687× | fma-def_binary64 |
| 654× | associate-*l/_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 56 | 110 |
| 1 | 145 | 101 |
| 2 | 465 | 99 |
| 3 | 3026 | 99 |
| 0 | 56 | 110 |
| 1 | 145 | 101 |
| 2 | 465 | 99 |
| 3 | 3026 | 99 |
| 1× | node limit |
| 1× | node limit |
Compiled 10106 to 8764 computations (13.3% saved)
Compiled 2057 to 1709 computations (16.9% saved)
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