Time bar (total: 34.5s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 25% | 75% | 0% | 0% | 0% | 0 |
| 0% | 0% | 25% | 75% | 0% | 0% | 0% | 1 |
| 0% | 0% | 12.5% | 75% | 0% | 0% | 12.5% | 2 |
| 0% | 0% | 6.3% | 75% | 0% | 0% | 18.8% | 3 |
| 0% | 0% | 3.1% | 75% | 0% | 0% | 21.9% | 4 |
| 0% | 0% | 1.6% | 75% | 0% | 0% | 23.5% | 5 |
| 0% | 0% | 0.8% | 75% | 0% | 0% | 24.2% | 6 |
| 0% | 0% | 0.8% | 75% | 0% | 0% | 24.2% | 7 |
| 25% | 0.2% | 0.6% | 75% | 0% | 0% | 24.2% | 8 |
| 25% | 0.2% | 0.6% | 75% | 0% | 0% | 24.2% | 9 |
| 57.1% | 0.2% | 0.1% | 75% | 0.4% | 0% | 24.2% | 10 |
| 66.7% | 0.2% | 0.1% | 75% | 0.5% | 0% | 24.3% | 11 |
| 80% | 0.2% | 0% | 75% | 0.5% | 0% | 24.3% | 12 |
Compiled 98 to 86 computations (12.2% saved)
| 3.9s | 8256× | body | 256 | valid |
| 705.0ms | 1523× | body | 256 | infinite |
| 93.0ms | 126× | body | 256 | unsamplable |
| 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 (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))))) |
| ▶ | 3.6b | (*.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 (+.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)))) |
Compiled 161 to 139 computations (13.7% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.7b | (+.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)) |
| ✓ | 1.1b | (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 | |
|---|---|---|---|---|
| 4.0ms | z | @ | 0 | (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))) |
| 3.0ms | z | @ | -inf | (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))) |
| 2.0ms | z | @ | inf | (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))) |
| 2.0ms | 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 | @ | 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)) | |
| ✓ | 1.0b | (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2))) |
| ✓ | 1.8b | (*.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 | |
|---|---|---|---|---|
| 2.0ms | 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 | @ | 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)))) |
| 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)
75 alts after pruning (74 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 232 | 74 | 306 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 1 | 1 |
| Total | 233 | 75 | 308 |
| Status | Error | Program |
|---|---|---|
| 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))) (/.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))) | |
| 5.0b | (*.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 (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)))))) | |
| 3.7b | (*.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 (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)))) | |
| 5.0b | (*.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)))) | |
| 3.5b | (*.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 (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))))) |
| 3.8b | (*.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))))) | |
| ▶ | 3.4b | (*.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))) | |
| 3.7b | (*.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 1 (exp.f64 z)) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 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 (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)))) | |
| 54.9b | (*.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))))) | |
| 3.7b | (*.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))))) | |
| 3.5b | (*.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))))) | |
| 3.6b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (/.f64 (+.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) 3) (pow.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))) 3)) (+.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) 2) (-.f64 (pow.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))) 2) (*.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)) (*.f64 (exp.f64 z) (exp.f64 13/2))))) |
| 13.4b | (*.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))))))) | |
| 3.6b | (*.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 (-.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 (*.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))))) | |
| 3.8b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (/.f64 1 (/.f64 (-.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) (-.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 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 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 (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) 2) (/.f64 9908947294301912793614221284049/6250000000000000000000000 (pow.f64 (-.f64 z -1) 2))) (-.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 (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))))) |
| 3.8b | (*.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)) (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)))) | |
| 3.6b | (*.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 (+.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)))) | |
| 4.3b | (*.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)))) | |
| 3.7b | (*.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)) (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))))) | |
| 3.6b | (*.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)))) | |
| 4.1b | (*.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))))) | |
| 4.3b | (*.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) (+.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 (-.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)))) | |
| 3.8b | (*.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))))) (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 (/.f64 (pow.f64 (+.f64 z 13/2) z) (pow.f64 (cbrt.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))))))) | |
| 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 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 (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))))) | |
| 3.9b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.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))))) 2) (cbrt.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))))) | |
| 56.6b | (*.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 (sqrt.f64 2/13) (exp.f64 13/2)))) | |
| 4.9b | (*.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)) (pow.f64 (exp.f64 (sqrt.f64 (+.f64 z 13/2))) (sqrt.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))))) (expm1.f64 (log1p.f64 (/.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 (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)))) | |
| 3.9b | (*.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))))) | |
| ▶ | 3.7b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (-.f64 (/.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) 2) (-.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.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 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))))) |
| 6.0b | (*.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)) (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (+.f64 z 13/2)) 2)) (cbrt.f64 (+.f64 z 13/2)))))) | |
| 52.9b | (*.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))))) | |
| 4.0b | (*.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 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)))) | |
| 4.1b | (*.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)))) | |
| 3.7b | (*.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)))) | |
| 3.7b | (*.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) (exp.f64 z)) (/.f64 (pow.f64 (+.f64 z 13/2) -1/2) (exp.f64 13/2))))) | |
| 3.7b | (*.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))))) | |
| 3.5b | (*.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 (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))))) | |
| 3.7b | (*.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)) (pow.f64 (cbrt.f64 (exp.f64 (+.f64 z 13/2))) 3)))) | |
| 50.0b | (*.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))))) | |
| 4.3b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (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))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 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) (+.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))))) | |
| 4.6b | (*.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 (pow.f64 (exp.f64 (+.f64 z 13/2)) 3) 1/3)))) | |
| 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 (/.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))))) | |
| 50.0b | (*.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))))) | |
| 3.8b | (*.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 (*.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)))) | |
| 4.8b | (*.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))))) | |
| 3.8b | (*.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)))))) | |
| ▶ | 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))))) |
| 4.1b | (*.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 (pow.f64 (cbrt.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)))) | |
| 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 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)))) |
Compiled 12554 to 10667 computations (15% saved)
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 (PI.f64)) |
| ✓ | 1.0b | (exp.f64 (-.f64 -13/2 z)) |
| ✓ | 1.4b | (/.f64 (exp.f64 (-.f64 -13/2 z)) (pow.f64 (-.f64 z -13/2) (-.f64 1/2 z))) |
Compiled 570 to 483 computations (15.3% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | z | @ | 0 | (/.f64 (exp.f64 (-.f64 -13/2 z)) (pow.f64 (-.f64 z -13/2) (-.f64 1/2 z))) |
| 1.0ms | z | @ | -inf | (/.f64 (exp.f64 (-.f64 -13/2 z)) (pow.f64 (-.f64 z -13/2) (-.f64 1/2 z))) |
| 1.0ms | z | @ | inf | (/.f64 (exp.f64 (-.f64 -13/2 z)) (pow.f64 (-.f64 z -13/2) (-.f64 1/2 z))) |
| 0.0ms | z | @ | 0 | (exp.f64 (-.f64 -13/2 z)) |
| 0.0ms | z | @ | -inf | (exp.f64 (-.f64 -13/2 z)) |
| 1× | batch-egg-rewrite |
| 624× | log-prod_binary64 |
| 368× | pow2_binary64 |
| 256× | prod-diff_binary64 |
| 250× | expm1-udef_binary64 |
| 250× | log1p-udef_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 28 |
| 1 | 281 | 28 |
| 2 | 3830 | 28 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (exp.f64 (-.f64 -13/2 z)) (pow.f64 (-.f64 z -13/2) (-.f64 1/2 z))) |
(exp.f64 (-.f64 -13/2 z)) |
(sqrt.f64 (PI.f64)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (exp.f64 (-.f64 -13/2 z)) (pow.f64 (+.f64 z 13/2) (-.f64 1/2 z))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (exp.f64 (-.f64 -13/2 z)) (pow.f64 (+.f64 z 13/2) (-.f64 1/2 z))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (exp.f64 (-.f64 -13/2 z)) (pow.f64 (+.f64 z 13/2) (-.f64 1/2 z)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (exp.f64 (-.f64 -13/2 z)) (pow.f64 (+.f64 z 13/2) (-.f64 1/2 z)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (exp.f64 (-.f64 -13/2 z)) (pow.f64 (+.f64 z 13/2) (-.f64 1/2 z)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (exp.f64 (-.f64 -13/2 z)) (pow.f64 (+.f64 z 13/2) (-.f64 1/2 z))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 (-.f64 -13/2 z)) (pow.f64 (+.f64 z 13/2) (neg.f64 (-.f64 1/2 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (exp.f64 (-.f64 -13/2 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z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (exp.f64 (-.f64 -13/2 z)) (pow.f64 (+.f64 z 13/2) (-.f64 1/2 z)))) (sqrt.f64 (/.f64 (exp.f64 (-.f64 -13/2 z)) (pow.f64 (+.f64 z 13/2) (-.f64 1/2 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (exp.f64 (-.f64 -13/2 z))) (/.f64 1 (neg.f64 (pow.f64 (+.f64 z 13/2) (-.f64 1/2 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 z 13/2) (neg.f64 (-.f64 1/2 z))) (exp.f64 (-.f64 -13/2 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 -13/2 z)) 2)) 1) (/.f64 (cbrt.f64 (exp.f64 (-.f64 -13/2 z))) (pow.f64 (+.f64 z 13/2) (-.f64 1/2 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (exp.f64 (-.f64 -13/2 z))) 1) (/.f64 (sqrt.f64 (exp.f64 (-.f64 -13/2 z))) (pow.f64 (+.f64 z 13/2) (-.f64 1/2 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (pow.f64 (+.f64 z 13/2) (-.f64 1/2 z))) 2)) (/.f64 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(+.f64 z 13/2) (-.f64 1/2 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (exp.f64 (-.f64 -13/2 z)) (sqrt.f64 (+.f64 z 13/2))) (pow.f64 (+.f64 z 13/2) z))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (exp.f64 (-.f64 -13/2 z)) (pow.f64 (+.f64 z 13/2) (-.f64 1/2 z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (exp.f64 (-.f64 -13/2 z)) (pow.f64 (+.f64 z 13/2) (-.f64 1/2 z))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (exp.f64 (-.f64 -13/2 z)) (pow.f64 (+.f64 z 13/2) (-.f64 1/2 z)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (exp.f64 (-.f64 -13/2 z)) (pow.f64 (+.f64 z 13/2) (-.f64 1/2 z)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (+.f64 z 13/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -13/2 z))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 -13/2 z)) 3) (pow.f64 (pow.f64 (+.f64 z 13/2) (-.f64 1/2 z)) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (pow.f64 (+.f64 z 13/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -13/2 z))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (exp.f64 (-.f64 -13/2 z)) (neg.f64 (pow.f64 (+.f64 z 13/2) (-.f64 1/2 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (exp.f64 (-.f64 -13/2 z)) (pow.f64 (+.f64 z 13/2) (-.f64 1/2 z))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (exp.f64 (-.f64 -13/2 z)) (pow.f64 (+.f64 z 13/2) (-.f64 1/2 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (exp.f64 (-.f64 -13/2 z)) (pow.f64 (+.f64 z 13/2) (-.f64 1/2 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (exp.f64 (-.f64 -13/2 z)) (pow.f64 (+.f64 z 13/2) (-.f64 1/2 z))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 -13/2 z)) 3) (pow.f64 (pow.f64 (+.f64 z 13/2) (-.f64 1/2 z)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (exp.f64 (-.f64 -13/2 z)) (pow.f64 (+.f64 z 13/2) (-.f64 1/2 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (exp.f64 (-.f64 -13/2 z)) (pow.f64 (+.f64 z 13/2) (-.f64 1/2 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (-.f64 -13/2 z) (*.f64 (-.f64 1/2 z) (log.f64 (+.f64 z 13/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 (-.f64 -13/2 z) (*.f64 (-.f64 1/2 z) (log.f64 (+.f64 z 13/2)))) 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (exp.f64 (-.f64 -13/2 z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (exp.f64 (-.f64 -13/2 z)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (exp.f64 (-.f64 -13/2 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (exp.f64 (-.f64 -13/2 z))))) (log.f64 (sqrt.f64 (exp.f64 (exp.f64 (-.f64 -13/2 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (exp.f64 (-.f64 -13/2 z)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 (-.f64 -13/2 z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (exp.f64 (-.f64 -13/2 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 -13/2) (exp.f64 (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 -13/2) (/.f64 1 (exp.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (exp.f64 (-.f64 -13/2 z))) (cbrt.f64 (pow.f64 (exp.f64 (-.f64 -13/2 z)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 -13/2 z)) 2)) (cbrt.f64 (exp.f64 (-.f64 -13/2 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (exp.f64 (-.f64 -13/2 z))) (sqrt.f64 (exp.f64 (-.f64 -13/2 z))))))) (#(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 -13/2) (exp.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (exp.f64 -13/2)) (neg.f64 (exp.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (-.f64 -13/2 z)) 1)))) (#(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 (pow.f64 (exp.f64 (-.f64 -13/2 z)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (exp.f64 (-.f64 -13/2 z))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (exp.f64 (-.f64 -13/2 z))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (-.f64 -13/2 z))) (sqrt.f64 (-.f64 -13/2 z)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 -13/2 z)) 2)) (cbrt.f64 (-.f64 -13/2 z)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (-.f64 -13/2 z))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (exp.f64 (-.f64 -13/2 z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (exp.f64 (-.f64 -13/2 z))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (exp.f64 (-.f64 -13/2 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (exp.f64 (-.f64 -13/2 z)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (exp.f64 (-.f64 -13/2 z))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (exp.f64 (-.f64 -13/2 z)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (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 (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 (exp.f64 (log1p.f64 (sqrt.f64 (PI.f64)))) 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)) (cbrt.f64 (sqrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) (cbrt.f64 (PI.f64)))))) (#(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 (sqrt.f64 (cbrt.f64 (pow.f64 (PI.f64) 2))) (sqrt.f64 (cbrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (PI.f64) 2)) 1/2) (pow.f64 (cbrt.f64 (PI.f64)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (PI.f64) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (PI.f64)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (PI.f64) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (PI.f64) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (PI.f64) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (PI.f64)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (PI.f64))) 1)))))) |
| 1× | egg-herbie |
| 694× | fma-neg_binary64 |
| 594× | associate-*l*_binary64 |
| 592× | associate-*r*_binary64 |
| 483× | fma-def_binary64 |
| 321× | unsub-neg_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 94 | 911 |
| 1 | 300 | 802 |
| 2 | 1040 | 730 |
| 3 | 6303 | 707 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (sqrt.f64 2/13) (exp.f64 -13/2)) |
(+.f64 (*.f64 (-.f64 (*.f64 -1 (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (*.f64 (+.f64 (*.f64 -1 (log.f64 13/2)) 1/13) (*.f64 (sqrt.f64 13/2) (*.f64 (pow.f64 (sqrt.f64 2/13) 2) (exp.f64 -13/2))))) z) (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) |
(+.f64 (*.f64 (-.f64 (*.f64 -1 (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (*.f64 (+.f64 (*.f64 -1 (log.f64 13/2)) 1/13) (*.f64 (sqrt.f64 13/2) (*.f64 (pow.f64 (sqrt.f64 2/13) 2) (exp.f64 -13/2))))) z) (+.f64 (*.f64 (-.f64 (*.f64 1/2 (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (+.f64 (*.f64 (-.f64 (*.f64 -1 (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (*.f64 (+.f64 (*.f64 -1 (log.f64 13/2)) 1/13) (*.f64 (sqrt.f64 13/2) (*.f64 (pow.f64 (sqrt.f64 2/13) 2) (exp.f64 -13/2))))) (*.f64 (+.f64 (*.f64 -1 (log.f64 13/2)) 1/13) (*.f64 (sqrt.f64 13/2) (sqrt.f64 2/13)))) (*.f64 (sqrt.f64 13/2) (*.f64 (-.f64 (*.f64 1/2 (pow.f64 (+.f64 (*.f64 -1 (log.f64 13/2)) 1/13) 2)) 27/169) (*.f64 (pow.f64 (sqrt.f64 2/13) 2) (exp.f64 -13/2)))))) (pow.f64 z 2)) (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2)))) |
(+.f64 (*.f64 (-.f64 (*.f64 -1 (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (*.f64 (+.f64 (*.f64 -1 (log.f64 13/2)) 1/13) (*.f64 (sqrt.f64 13/2) (*.f64 (pow.f64 (sqrt.f64 2/13) 2) (exp.f64 -13/2))))) z) (+.f64 (*.f64 (-.f64 (*.f64 1/2 (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (+.f64 (*.f64 (-.f64 (*.f64 -1 (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (*.f64 (+.f64 (*.f64 -1 (log.f64 13/2)) 1/13) (*.f64 (sqrt.f64 13/2) (*.f64 (pow.f64 (sqrt.f64 2/13) 2) (exp.f64 -13/2))))) (*.f64 (+.f64 (*.f64 -1 (log.f64 13/2)) 1/13) (*.f64 (sqrt.f64 13/2) (sqrt.f64 2/13)))) (*.f64 (sqrt.f64 13/2) (*.f64 (-.f64 (*.f64 1/2 (pow.f64 (+.f64 (*.f64 -1 (log.f64 13/2)) 1/13) 2)) 27/169) (*.f64 (pow.f64 (sqrt.f64 2/13) 2) (exp.f64 -13/2)))))) (pow.f64 z 2)) (+.f64 (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2)) (*.f64 (pow.f64 z 3) (-.f64 (*.f64 -1/6 (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (+.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 13/2)) 1/13) (*.f64 (sqrt.f64 13/2) (*.f64 (sqrt.f64 2/13) (-.f64 (*.f64 1/2 (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (+.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 13/2)) 1/13) (*.f64 (-.f64 (*.f64 -1 (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (*.f64 (+.f64 (*.f64 -1 (log.f64 13/2)) 1/13) (*.f64 (sqrt.f64 13/2) (*.f64 (pow.f64 (sqrt.f64 2/13) 2) (exp.f64 -13/2))))) (*.f64 (sqrt.f64 13/2) (sqrt.f64 2/13)))) (*.f64 (sqrt.f64 13/2) (*.f64 (-.f64 (*.f64 1/2 (pow.f64 (+.f64 (*.f64 -1 (log.f64 13/2)) 1/13) 2)) 27/169) (*.f64 (pow.f64 (sqrt.f64 2/13) 2) (exp.f64 -13/2))))))))) (+.f64 (*.f64 (+.f64 82/6591 (+.f64 (*.f64 1/6 (pow.f64 (+.f64 (*.f64 -1 (log.f64 13/2)) 1/13) 3)) (*.f64 -27/169 (+.f64 (*.f64 -1 (log.f64 13/2)) 1/13)))) (*.f64 (sqrt.f64 13/2) (*.f64 (pow.f64 (sqrt.f64 2/13) 2) (exp.f64 -13/2)))) (*.f64 (-.f64 (*.f64 -1 (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (*.f64 (+.f64 (*.f64 -1 (log.f64 13/2)) 1/13) (*.f64 (sqrt.f64 13/2) (*.f64 (pow.f64 (sqrt.f64 2/13) 2) (exp.f64 -13/2))))) (*.f64 (sqrt.f64 13/2) (*.f64 (-.f64 (*.f64 1/2 (pow.f64 (+.f64 (*.f64 -1 (log.f64 13/2)) 1/13) 2)) 27/169) (sqrt.f64 2/13))))))))))) |
(/.f64 (exp.f64 (neg.f64 (+.f64 13/2 z))) (pow.f64 (+.f64 13/2 z) (-.f64 1/2 z))) |
(/.f64 (exp.f64 (neg.f64 (+.f64 13/2 z))) (pow.f64 (+.f64 13/2 z) (-.f64 1/2 z))) |
(/.f64 (exp.f64 (neg.f64 (+.f64 13/2 z))) (pow.f64 (+.f64 13/2 z) (-.f64 1/2 z))) |
(/.f64 (exp.f64 (neg.f64 (+.f64 13/2 z))) (pow.f64 (+.f64 13/2 z) (-.f64 1/2 z))) |
(/.f64 (exp.f64 (-.f64 (*.f64 -1 z) 13/2)) (exp.f64 (*.f64 (log.f64 (-.f64 13/2 (*.f64 -1 z))) (+.f64 (*.f64 -1 z) 1/2)))) |
(/.f64 (exp.f64 (-.f64 (*.f64 -1 z) 13/2)) (exp.f64 (*.f64 (log.f64 (-.f64 13/2 (*.f64 -1 z))) (+.f64 (*.f64 -1 z) 1/2)))) |
(/.f64 (exp.f64 (-.f64 (*.f64 -1 z) 13/2)) (exp.f64 (*.f64 (log.f64 (-.f64 13/2 (*.f64 -1 z))) (+.f64 (*.f64 -1 z) 1/2)))) |
(/.f64 (exp.f64 (-.f64 (*.f64 -1 z) 13/2)) (exp.f64 (*.f64 (log.f64 (-.f64 13/2 (*.f64 -1 z))) (+.f64 (*.f64 -1 z) 1/2)))) |
(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 (-.f64 (*.f64 -1 (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (*.f64 (+.f64 (*.f64 -1 (log.f64 13/2)) 1/13) (*.f64 (sqrt.f64 13/2) (*.f64 (pow.f64 (sqrt.f64 2/13) 2) (exp.f64 -13/2))))) z) (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) |
(fma.f64 (-.f64 (neg.f64 (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (*.f64 (*.f64 (fma.f64 -1 (log.f64 13/2) 1/13) (sqrt.f64 13/2)) (*.f64 (exp.f64 -13/2) (pow.f64 (sqrt.f64 2/13) 2)))) z (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) |
(fma.f64 (sqrt.f64 2/13) (exp.f64 -13/2) (*.f64 (-.f64 (*.f64 (sqrt.f64 2/13) (neg.f64 (exp.f64 -13/2))) (*.f64 (-.f64 1/13 (log.f64 13/2)) (*.f64 (exp.f64 -13/2) (*.f64 (sqrt.f64 13/2) 2/13)))) z)) |
(fma.f64 (sqrt.f64 2/13) (exp.f64 -13/2) (*.f64 (*.f64 (exp.f64 -13/2) (-.f64 (neg.f64 (sqrt.f64 2/13)) (*.f64 (-.f64 1/13 (log.f64 13/2)) (*.f64 (sqrt.f64 13/2) 2/13)))) z)) |
(fma.f64 (sqrt.f64 2/13) (exp.f64 -13/2) (*.f64 (*.f64 (exp.f64 -13/2) (-.f64 (*.f64 (+.f64 (log.f64 13/2) -1/13) (*.f64 (sqrt.f64 13/2) 2/13)) (sqrt.f64 2/13))) z)) |
(+.f64 (*.f64 (-.f64 (*.f64 -1 (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (*.f64 (+.f64 (*.f64 -1 (log.f64 13/2)) 1/13) (*.f64 (sqrt.f64 13/2) (*.f64 (pow.f64 (sqrt.f64 2/13) 2) (exp.f64 -13/2))))) z) (+.f64 (*.f64 (-.f64 (*.f64 1/2 (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (+.f64 (*.f64 (-.f64 (*.f64 -1 (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (*.f64 (+.f64 (*.f64 -1 (log.f64 13/2)) 1/13) (*.f64 (sqrt.f64 13/2) (*.f64 (pow.f64 (sqrt.f64 2/13) 2) (exp.f64 -13/2))))) (*.f64 (+.f64 (*.f64 -1 (log.f64 13/2)) 1/13) (*.f64 (sqrt.f64 13/2) (sqrt.f64 2/13)))) (*.f64 (sqrt.f64 13/2) (*.f64 (-.f64 (*.f64 1/2 (pow.f64 (+.f64 (*.f64 -1 (log.f64 13/2)) 1/13) 2)) 27/169) (*.f64 (pow.f64 (sqrt.f64 2/13) 2) (exp.f64 -13/2)))))) (pow.f64 z 2)) (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2)))) |
(fma.f64 (-.f64 (neg.f64 (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (*.f64 (*.f64 (fma.f64 -1 (log.f64 13/2) 1/13) (sqrt.f64 13/2)) (*.f64 (exp.f64 -13/2) (pow.f64 (sqrt.f64 2/13) 2)))) z (fma.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2)) 1/2) (fma.f64 (-.f64 (neg.f64 (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (*.f64 (*.f64 (fma.f64 -1 (log.f64 13/2) 1/13) (sqrt.f64 13/2)) (*.f64 (exp.f64 -13/2) (pow.f64 (sqrt.f64 2/13) 2)))) (*.f64 (*.f64 (fma.f64 -1 (log.f64 13/2) 1/13) (sqrt.f64 13/2)) (sqrt.f64 2/13)) (*.f64 (sqrt.f64 13/2) (*.f64 (*.f64 (exp.f64 -13/2) (pow.f64 (sqrt.f64 2/13) 2)) (fma.f64 1/2 (pow.f64 (fma.f64 -1 (log.f64 13/2) 1/13) 2) -27/169))))) (*.f64 z z) (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2)))) |
(fma.f64 (-.f64 (*.f64 (sqrt.f64 2/13) (neg.f64 (exp.f64 -13/2))) (*.f64 (-.f64 1/13 (log.f64 13/2)) (*.f64 (exp.f64 -13/2) (*.f64 (sqrt.f64 13/2) 2/13)))) z (fma.f64 (sqrt.f64 2/13) (exp.f64 -13/2) (*.f64 (*.f64 z z) (-.f64 (*.f64 (exp.f64 -13/2) (*.f64 (sqrt.f64 2/13) 1/2)) (fma.f64 (sqrt.f64 13/2) (*.f64 2/13 (*.f64 (exp.f64 -13/2) (fma.f64 1/2 (pow.f64 (-.f64 1/13 (log.f64 13/2)) 2) -27/169))) (*.f64 (-.f64 1/13 (log.f64 13/2)) (*.f64 (-.f64 (*.f64 (sqrt.f64 2/13) (neg.f64 (exp.f64 -13/2))) (*.f64 (-.f64 1/13 (log.f64 13/2)) (*.f64 (exp.f64 -13/2) (*.f64 (sqrt.f64 13/2) 2/13)))) (*.f64 (sqrt.f64 2/13) (sqrt.f64 13/2))))))))) |
(fma.f64 (sqrt.f64 2/13) (exp.f64 -13/2) (*.f64 z (+.f64 (*.f64 (exp.f64 -13/2) (-.f64 (neg.f64 (sqrt.f64 2/13)) (*.f64 (-.f64 1/13 (log.f64 13/2)) (*.f64 (sqrt.f64 13/2) 2/13)))) (*.f64 z (+.f64 (*.f64 (exp.f64 -13/2) (-.f64 (*.f64 (sqrt.f64 2/13) 1/2) (*.f64 (sqrt.f64 13/2) (*.f64 2/13 (fma.f64 1/2 (pow.f64 (-.f64 1/13 (log.f64 13/2)) 2) -27/169))))) (*.f64 (-.f64 1/13 (log.f64 13/2)) (*.f64 (*.f64 (sqrt.f64 2/13) (sqrt.f64 13/2)) (*.f64 (exp.f64 -13/2) (+.f64 (sqrt.f64 2/13) (*.f64 (-.f64 1/13 (log.f64 13/2)) (*.f64 (sqrt.f64 13/2) 2/13))))))))))) |
(fma.f64 (sqrt.f64 2/13) (exp.f64 -13/2) (*.f64 z (+.f64 (*.f64 (exp.f64 -13/2) (-.f64 (*.f64 (+.f64 (log.f64 13/2) -1/13) (*.f64 (sqrt.f64 13/2) 2/13)) (sqrt.f64 2/13))) (*.f64 z (fma.f64 (sqrt.f64 2/13) (fma.f64 (exp.f64 -13/2) 1/2 (*.f64 (*.f64 (exp.f64 -13/2) (+.f64 (sqrt.f64 2/13) (*.f64 (-.f64 1/13 (log.f64 13/2)) (*.f64 (sqrt.f64 13/2) 2/13)))) (*.f64 (-.f64 1/13 (log.f64 13/2)) (sqrt.f64 13/2)))) (*.f64 (fma.f64 1/2 (pow.f64 (-.f64 1/13 (log.f64 13/2)) 2) -27/169) (*.f64 (sqrt.f64 13/2) (*.f64 (exp.f64 -13/2) -2/13)))))))) |
(+.f64 (*.f64 (-.f64 (*.f64 -1 (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (*.f64 (+.f64 (*.f64 -1 (log.f64 13/2)) 1/13) (*.f64 (sqrt.f64 13/2) (*.f64 (pow.f64 (sqrt.f64 2/13) 2) (exp.f64 -13/2))))) z) (+.f64 (*.f64 (-.f64 (*.f64 1/2 (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (+.f64 (*.f64 (-.f64 (*.f64 -1 (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (*.f64 (+.f64 (*.f64 -1 (log.f64 13/2)) 1/13) (*.f64 (sqrt.f64 13/2) (*.f64 (pow.f64 (sqrt.f64 2/13) 2) (exp.f64 -13/2))))) (*.f64 (+.f64 (*.f64 -1 (log.f64 13/2)) 1/13) (*.f64 (sqrt.f64 13/2) (sqrt.f64 2/13)))) (*.f64 (sqrt.f64 13/2) (*.f64 (-.f64 (*.f64 1/2 (pow.f64 (+.f64 (*.f64 -1 (log.f64 13/2)) 1/13) 2)) 27/169) (*.f64 (pow.f64 (sqrt.f64 2/13) 2) (exp.f64 -13/2)))))) (pow.f64 z 2)) (+.f64 (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2)) (*.f64 (pow.f64 z 3) (-.f64 (*.f64 -1/6 (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (+.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 13/2)) 1/13) (*.f64 (sqrt.f64 13/2) (*.f64 (sqrt.f64 2/13) (-.f64 (*.f64 1/2 (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (+.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 13/2)) 1/13) (*.f64 (-.f64 (*.f64 -1 (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (*.f64 (+.f64 (*.f64 -1 (log.f64 13/2)) 1/13) (*.f64 (sqrt.f64 13/2) (*.f64 (pow.f64 (sqrt.f64 2/13) 2) (exp.f64 -13/2))))) (*.f64 (sqrt.f64 13/2) (sqrt.f64 2/13)))) (*.f64 (sqrt.f64 13/2) (*.f64 (-.f64 (*.f64 1/2 (pow.f64 (+.f64 (*.f64 -1 (log.f64 13/2)) 1/13) 2)) 27/169) (*.f64 (pow.f64 (sqrt.f64 2/13) 2) (exp.f64 -13/2))))))))) (+.f64 (*.f64 (+.f64 82/6591 (+.f64 (*.f64 1/6 (pow.f64 (+.f64 (*.f64 -1 (log.f64 13/2)) 1/13) 3)) (*.f64 -27/169 (+.f64 (*.f64 -1 (log.f64 13/2)) 1/13)))) (*.f64 (sqrt.f64 13/2) (*.f64 (pow.f64 (sqrt.f64 2/13) 2) (exp.f64 -13/2)))) (*.f64 (-.f64 (*.f64 -1 (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (*.f64 (+.f64 (*.f64 -1 (log.f64 13/2)) 1/13) (*.f64 (sqrt.f64 13/2) (*.f64 (pow.f64 (sqrt.f64 2/13) 2) (exp.f64 -13/2))))) (*.f64 (sqrt.f64 13/2) (*.f64 (-.f64 (*.f64 1/2 (pow.f64 (+.f64 (*.f64 -1 (log.f64 13/2)) 1/13) 2)) 27/169) (sqrt.f64 2/13))))))))))) |
(fma.f64 (-.f64 (neg.f64 (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (*.f64 (*.f64 (fma.f64 -1 (log.f64 13/2) 1/13) (sqrt.f64 13/2)) (*.f64 (exp.f64 -13/2) (pow.f64 (sqrt.f64 2/13) 2)))) z (fma.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2)) 1/2) (fma.f64 (-.f64 (neg.f64 (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (*.f64 (*.f64 (fma.f64 -1 (log.f64 13/2) 1/13) (sqrt.f64 13/2)) (*.f64 (exp.f64 -13/2) (pow.f64 (sqrt.f64 2/13) 2)))) (*.f64 (*.f64 (fma.f64 -1 (log.f64 13/2) 1/13) (sqrt.f64 13/2)) (sqrt.f64 2/13)) (*.f64 (sqrt.f64 13/2) (*.f64 (*.f64 (exp.f64 -13/2) (pow.f64 (sqrt.f64 2/13) 2)) (fma.f64 1/2 (pow.f64 (fma.f64 -1 (log.f64 13/2) 1/13) 2) -27/169))))) (*.f64 z z) (fma.f64 (sqrt.f64 2/13) (exp.f64 -13/2) (*.f64 (pow.f64 z 3) (-.f64 (*.f64 (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2)) -1/6) (fma.f64 (fma.f64 -1 (log.f64 13/2) 1/13) (*.f64 (*.f64 (sqrt.f64 2/13) (sqrt.f64 13/2)) (-.f64 (*.f64 (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2)) 1/2) (fma.f64 (fma.f64 -1 (log.f64 13/2) 1/13) (*.f64 (-.f64 (neg.f64 (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (*.f64 (*.f64 (fma.f64 -1 (log.f64 13/2) 1/13) (sqrt.f64 13/2)) (*.f64 (exp.f64 -13/2) (pow.f64 (sqrt.f64 2/13) 2)))) (*.f64 (sqrt.f64 2/13) (sqrt.f64 13/2))) (*.f64 (sqrt.f64 13/2) (*.f64 (*.f64 (exp.f64 -13/2) (pow.f64 (sqrt.f64 2/13) 2)) (fma.f64 1/2 (pow.f64 (fma.f64 -1 (log.f64 13/2) 1/13) 2) -27/169)))))) (fma.f64 (+.f64 82/6591 (fma.f64 1/6 (pow.f64 (fma.f64 -1 (log.f64 13/2) 1/13) 3) (*.f64 (fma.f64 -1 (log.f64 13/2) 1/13) -27/169))) (*.f64 (sqrt.f64 13/2) (*.f64 (exp.f64 -13/2) (pow.f64 (sqrt.f64 2/13) 2))) (*.f64 (*.f64 (-.f64 (neg.f64 (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (*.f64 (*.f64 (fma.f64 -1 (log.f64 13/2) 1/13) (sqrt.f64 13/2)) (*.f64 (exp.f64 -13/2) (pow.f64 (sqrt.f64 2/13) 2)))) (sqrt.f64 13/2)) (*.f64 (sqrt.f64 2/13) (fma.f64 1/2 (pow.f64 (fma.f64 -1 (log.f64 13/2) 1/13) 2) -27/169)))))))))) |
(fma.f64 (-.f64 (*.f64 (sqrt.f64 2/13) (neg.f64 (exp.f64 -13/2))) (*.f64 (-.f64 1/13 (log.f64 13/2)) (*.f64 (exp.f64 -13/2) (*.f64 (sqrt.f64 13/2) 2/13)))) z (fma.f64 (*.f64 z z) (-.f64 (*.f64 (exp.f64 -13/2) (*.f64 (sqrt.f64 2/13) 1/2)) (fma.f64 (sqrt.f64 13/2) (*.f64 2/13 (*.f64 (exp.f64 -13/2) (fma.f64 1/2 (pow.f64 (-.f64 1/13 (log.f64 13/2)) 2) -27/169))) (*.f64 (-.f64 1/13 (log.f64 13/2)) (*.f64 (-.f64 (*.f64 (sqrt.f64 2/13) (neg.f64 (exp.f64 -13/2))) (*.f64 (-.f64 1/13 (log.f64 13/2)) (*.f64 (exp.f64 -13/2) (*.f64 (sqrt.f64 13/2) 2/13)))) (*.f64 (sqrt.f64 2/13) (sqrt.f64 13/2)))))) (fma.f64 (sqrt.f64 2/13) (exp.f64 -13/2) (*.f64 (pow.f64 z 3) (-.f64 (*.f64 (exp.f64 -13/2) (*.f64 (sqrt.f64 2/13) -1/6)) (fma.f64 (-.f64 1/13 (log.f64 13/2)) (*.f64 (sqrt.f64 2/13) (*.f64 (-.f64 (*.f64 (exp.f64 -13/2) (*.f64 (sqrt.f64 2/13) 1/2)) (fma.f64 (sqrt.f64 13/2) (*.f64 2/13 (*.f64 (exp.f64 -13/2) (fma.f64 1/2 (pow.f64 (-.f64 1/13 (log.f64 13/2)) 2) -27/169))) (*.f64 (-.f64 1/13 (log.f64 13/2)) (*.f64 (-.f64 (*.f64 (sqrt.f64 2/13) (neg.f64 (exp.f64 -13/2))) (*.f64 (-.f64 1/13 (log.f64 13/2)) (*.f64 (exp.f64 -13/2) (*.f64 (sqrt.f64 13/2) 2/13)))) (*.f64 (sqrt.f64 2/13) (sqrt.f64 13/2)))))) (sqrt.f64 13/2))) (fma.f64 (*.f64 (exp.f64 -13/2) (*.f64 (sqrt.f64 13/2) 2/13)) (+.f64 82/6591 (fma.f64 1/6 (pow.f64 (-.f64 1/13 (log.f64 13/2)) 3) (+.f64 (*.f64 (log.f64 13/2) 27/169) -27/2197))) (*.f64 (*.f64 (-.f64 (*.f64 (sqrt.f64 2/13) (neg.f64 (exp.f64 -13/2))) (*.f64 (-.f64 1/13 (log.f64 13/2)) (*.f64 (exp.f64 -13/2) (*.f64 (sqrt.f64 13/2) 2/13)))) (*.f64 (sqrt.f64 2/13) (sqrt.f64 13/2))) (fma.f64 1/2 (pow.f64 (-.f64 1/13 (log.f64 13/2)) 2) -27/169))))))))) |
(fma.f64 (*.f64 (exp.f64 -13/2) (-.f64 (neg.f64 (sqrt.f64 2/13)) (*.f64 (-.f64 1/13 (log.f64 13/2)) (*.f64 (sqrt.f64 13/2) 2/13)))) z (fma.f64 (sqrt.f64 2/13) (exp.f64 -13/2) (*.f64 (*.f64 z z) (+.f64 (+.f64 (*.f64 (exp.f64 -13/2) (-.f64 (*.f64 (sqrt.f64 2/13) 1/2) (*.f64 (sqrt.f64 13/2) (*.f64 2/13 (fma.f64 1/2 (pow.f64 (-.f64 1/13 (log.f64 13/2)) 2) -27/169))))) (*.f64 (-.f64 1/13 (log.f64 13/2)) (*.f64 (*.f64 (sqrt.f64 2/13) (sqrt.f64 13/2)) (*.f64 (exp.f64 -13/2) (+.f64 (sqrt.f64 2/13) (*.f64 (-.f64 1/13 (log.f64 13/2)) (*.f64 (sqrt.f64 13/2) 2/13))))))) (*.f64 z (-.f64 (*.f64 (sqrt.f64 2/13) (-.f64 (*.f64 (exp.f64 -13/2) -1/6) (*.f64 (-.f64 1/13 (log.f64 13/2)) (*.f64 (sqrt.f64 13/2) (+.f64 (*.f64 (exp.f64 -13/2) (-.f64 (*.f64 (sqrt.f64 2/13) 1/2) (*.f64 (sqrt.f64 13/2) (*.f64 2/13 (fma.f64 1/2 (pow.f64 (-.f64 1/13 (log.f64 13/2)) 2) -27/169))))) (*.f64 (-.f64 1/13 (log.f64 13/2)) (*.f64 (*.f64 (sqrt.f64 2/13) (sqrt.f64 13/2)) (*.f64 (exp.f64 -13/2) (+.f64 (sqrt.f64 2/13) (*.f64 (-.f64 1/13 (log.f64 13/2)) (*.f64 (sqrt.f64 13/2) 2/13))))))))))) (*.f64 (sqrt.f64 13/2) (+.f64 (*.f64 (exp.f64 -13/2) (*.f64 2/13 (fma.f64 1/6 (pow.f64 (-.f64 1/13 (log.f64 13/2)) 3) (+.f64 (*.f64 (log.f64 13/2) 27/169) 1/6591)))) (*.f64 (sqrt.f64 2/13) (*.f64 (fma.f64 1/2 (pow.f64 (-.f64 1/13 (log.f64 13/2)) 2) -27/169) (*.f64 (exp.f64 -13/2) (-.f64 (neg.f64 (sqrt.f64 2/13)) (*.f64 (-.f64 1/13 (log.f64 13/2)) (*.f64 (sqrt.f64 13/2) 2/13)))))))))))))) |
(fma.f64 (*.f64 (exp.f64 -13/2) (-.f64 (*.f64 (+.f64 (log.f64 13/2) -1/13) (*.f64 (sqrt.f64 13/2) 2/13)) (sqrt.f64 2/13))) z (fma.f64 (sqrt.f64 2/13) (exp.f64 -13/2) (*.f64 (*.f64 z z) (+.f64 (fma.f64 (sqrt.f64 2/13) (fma.f64 (exp.f64 -13/2) 1/2 (*.f64 (*.f64 (exp.f64 -13/2) (+.f64 (sqrt.f64 2/13) (*.f64 (-.f64 1/13 (log.f64 13/2)) (*.f64 (sqrt.f64 13/2) 2/13)))) (*.f64 (-.f64 1/13 (log.f64 13/2)) (sqrt.f64 13/2)))) (*.f64 (fma.f64 1/2 (pow.f64 (-.f64 1/13 (log.f64 13/2)) 2) -27/169) (*.f64 (sqrt.f64 13/2) (*.f64 (exp.f64 -13/2) -2/13)))) (*.f64 z (fma.f64 (sqrt.f64 2/13) (-.f64 (*.f64 (exp.f64 -13/2) -1/6) (*.f64 (-.f64 1/13 (log.f64 13/2)) (*.f64 (sqrt.f64 13/2) (fma.f64 (sqrt.f64 2/13) (fma.f64 (exp.f64 -13/2) 1/2 (*.f64 (*.f64 (exp.f64 -13/2) (+.f64 (sqrt.f64 2/13) (*.f64 (-.f64 1/13 (log.f64 13/2)) (*.f64 (sqrt.f64 13/2) 2/13)))) (*.f64 (-.f64 1/13 (log.f64 13/2)) (sqrt.f64 13/2)))) (*.f64 (fma.f64 1/2 (pow.f64 (-.f64 1/13 (log.f64 13/2)) 2) -27/169) (*.f64 (sqrt.f64 13/2) (*.f64 (exp.f64 -13/2) -2/13))))))) (neg.f64 (*.f64 (sqrt.f64 13/2) (+.f64 (*.f64 (exp.f64 -13/2) (*.f64 2/13 (fma.f64 1/6 (pow.f64 (-.f64 1/13 (log.f64 13/2)) 3) (+.f64 (*.f64 (log.f64 13/2) 27/169) 1/6591)))) (*.f64 (sqrt.f64 2/13) (*.f64 (fma.f64 1/2 (pow.f64 (-.f64 1/13 (log.f64 13/2)) 2) -27/169) (*.f64 (exp.f64 -13/2) (-.f64 (*.f64 (+.f64 (log.f64 13/2) -1/13) (*.f64 (sqrt.f64 13/2) 2/13)) (sqrt.f64 2/13)))))))))))))) |
(/.f64 (exp.f64 (neg.f64 (+.f64 13/2 z))) (pow.f64 (+.f64 13/2 z) (-.f64 1/2 z))) |
(/.f64 (exp.f64 (+.f64 -13/2 (neg.f64 z))) (pow.f64 (+.f64 13/2 z) (-.f64 1/2 z))) |
(/.f64 (exp.f64 (-.f64 -13/2 z)) (pow.f64 (+.f64 13/2 z) (-.f64 1/2 z))) |
(/.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)) (exp.f64 (+.f64 13/2 z))) |
(/.f64 (exp.f64 (neg.f64 (+.f64 13/2 z))) (pow.f64 (+.f64 13/2 z) (-.f64 1/2 z))) |
(/.f64 (exp.f64 (+.f64 -13/2 (neg.f64 z))) (pow.f64 (+.f64 13/2 z) (-.f64 1/2 z))) |
(/.f64 (exp.f64 (-.f64 -13/2 z)) (pow.f64 (+.f64 13/2 z) (-.f64 1/2 z))) |
(/.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)) (exp.f64 (+.f64 13/2 z))) |
(/.f64 (exp.f64 (neg.f64 (+.f64 13/2 z))) (pow.f64 (+.f64 13/2 z) (-.f64 1/2 z))) |
(/.f64 (exp.f64 (+.f64 -13/2 (neg.f64 z))) (pow.f64 (+.f64 13/2 z) (-.f64 1/2 z))) |
(/.f64 (exp.f64 (-.f64 -13/2 z)) (pow.f64 (+.f64 13/2 z) (-.f64 1/2 z))) |
(/.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)) (exp.f64 (+.f64 13/2 z))) |
(/.f64 (exp.f64 (neg.f64 (+.f64 13/2 z))) (pow.f64 (+.f64 13/2 z) (-.f64 1/2 z))) |
(/.f64 (exp.f64 (+.f64 -13/2 (neg.f64 z))) (pow.f64 (+.f64 13/2 z) (-.f64 1/2 z))) |
(/.f64 (exp.f64 (-.f64 -13/2 z)) (pow.f64 (+.f64 13/2 z) (-.f64 1/2 z))) |
(/.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)) (exp.f64 (+.f64 13/2 z))) |
(/.f64 (exp.f64 (-.f64 (*.f64 -1 z) 13/2)) (exp.f64 (*.f64 (log.f64 (-.f64 13/2 (*.f64 -1 z))) (+.f64 (*.f64 -1 z) 1/2)))) |
(/.f64 (exp.f64 (+.f64 -13/2 (neg.f64 z))) (pow.f64 (+.f64 13/2 z) (-.f64 1/2 z))) |
(/.f64 (exp.f64 (-.f64 -13/2 z)) (pow.f64 (+.f64 13/2 z) (-.f64 1/2 z))) |
(/.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)) (exp.f64 (+.f64 13/2 z))) |
(/.f64 (exp.f64 (-.f64 (*.f64 -1 z) 13/2)) (exp.f64 (*.f64 (log.f64 (-.f64 13/2 (*.f64 -1 z))) (+.f64 (*.f64 -1 z) 1/2)))) |
(/.f64 (exp.f64 (+.f64 -13/2 (neg.f64 z))) (pow.f64 (+.f64 13/2 z) (-.f64 1/2 z))) |
(/.f64 (exp.f64 (-.f64 -13/2 z)) (pow.f64 (+.f64 13/2 z) (-.f64 1/2 z))) |
(/.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)) (exp.f64 (+.f64 13/2 z))) |
(/.f64 (exp.f64 (-.f64 (*.f64 -1 z) 13/2)) (exp.f64 (*.f64 (log.f64 (-.f64 13/2 (*.f64 -1 z))) (+.f64 (*.f64 -1 z) 1/2)))) |
(/.f64 (exp.f64 (+.f64 -13/2 (neg.f64 z))) (pow.f64 (+.f64 13/2 z) (-.f64 1/2 z))) |
(/.f64 (exp.f64 (-.f64 -13/2 z)) (pow.f64 (+.f64 13/2 z) (-.f64 1/2 z))) |
(/.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)) (exp.f64 (+.f64 13/2 z))) |
(/.f64 (exp.f64 (-.f64 (*.f64 -1 z) 13/2)) (exp.f64 (*.f64 (log.f64 (-.f64 13/2 (*.f64 -1 z))) (+.f64 (*.f64 -1 z) 1/2)))) |
(/.f64 (exp.f64 (+.f64 -13/2 (neg.f64 z))) (pow.f64 (+.f64 13/2 z) (-.f64 1/2 z))) |
(/.f64 (exp.f64 (-.f64 -13/2 z)) (pow.f64 (+.f64 13/2 z) (-.f64 1/2 z))) |
(/.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)) (exp.f64 (+.f64 13/2 z))) |
(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)) |
(fma.f64 (neg.f64 z) (exp.f64 -13/2) (exp.f64 -13/2)) |
(*.f64 (exp.f64 -13/2) (fma.f64 -1 z 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 (*.f64 1/2 z) z) (neg.f64 z)))) |
(fma.f64 (exp.f64 -13/2) (-.f64 (*.f64 z (*.f64 z 1/2)) z) (exp.f64 -13/2)) |
(*.f64 (exp.f64 -13/2) (+.f64 (-.f64 1 z) (*.f64 z (*.f64 z 1/2)))) |
(+.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)))) |
(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 (fma.f64 (neg.f64 z) (exp.f64 -13/2) (exp.f64 -13/2)) (*.f64 (exp.f64 -13/2) (+.f64 (*.f64 (pow.f64 z 3) -1/6) (*.f64 (*.f64 1/2 z) z)))) |
(+.f64 (exp.f64 -13/2) (*.f64 (exp.f64 -13/2) (+.f64 (*.f64 (*.f64 z z) (+.f64 (*.f64 z -1/6) 1/2)) (neg.f64 z)))) |
(+.f64 (exp.f64 -13/2) (*.f64 (exp.f64 -13/2) (-.f64 (*.f64 (*.f64 z z) (+.f64 (*.f64 z -1/6) 1/2)) 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 (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 |
|---|---|---|
| ✓ | 0.6b | (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) |
| 1.0b | (sqrt.f64 (*.f64 (PI.f64) 2)) | |
| 1.1b | (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 |
|---|---|---|
| ✓ | 0.6b | (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z))) |
| 0.7b | (+.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)) (*.f64 (exp.f64 z) (exp.f64 13/2))) |
Compiled 409 to 327 computations (20% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | z | @ | inf | (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (exp.f64 z) (exp.f64 13/2))) |
| 1.0ms | z | @ | -inf | (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (exp.f64 z) (exp.f64 13/2))) |
| 1.0ms | z | @ | 0 | (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (exp.f64 z) (exp.f64 13/2))) |
| 0.0ms | z | @ | inf | (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z))) |
| 0.0ms | z | @ | -inf | (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z))) |
| 1× | batch-egg-rewrite |
| 413× | log1p-udef_binary64 |
| 412× | expm1-udef_binary64 |
| 238× | add-sqr-sqrt_binary64 |
| 228× | add-log-exp_binary64 |
| 225× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 20 | 34 |
| 1 | 471 | 34 |
| 2 | 6727 | 34 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (exp.f64 z) (exp.f64 13/2))) |
(+.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 (/.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 (pow.f64 (+.f64 z 13/2) 2) (+.f64 z -1/2))) (*.f64 (cbrt.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 (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 (neg.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)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 (neg.f64 (+.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 (neg.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)) (/.f64 1 (exp.f64 13/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (pow.f64 (+.f64 z 13/2) 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 (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) 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 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(#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -3147848041806007/2500000000000 (/.f64 1 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 7713234287776531/10000000000000 (/.f64 1 (+.f64 z 2)) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))))) (#(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 7713234287776531/10000000000000 (+.f64 z 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2))) 2) (cbrt.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2))) (/.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 7713234287776531/10000000000000 (+.f64 z 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2))) (sqrt.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2))) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))))) |
| 1× | egg-herbie |
| 532× | fma-neg_binary64 |
| 396× | associate-/r*_binary64 |
| 381× | cancel-sign-sub-inv_binary64 |
| 350× | sub-neg_binary64 |
| 277× | fma-def_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 102 | 732 |
| 1 | 283 | 712 |
| 2 | 852 | 698 |
| 3 | 3800 | 622 |
| 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 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 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 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 z) (exp.f64 13/2))) |
-698782001866861/800000000000 |
(-.f64 (*.f64 42652334381119581/40000000000000 z) 698782001866861/800000000000) |
(-.f64 (+.f64 (*.f64 -93017903050015693/80000000000000 (pow.f64 z 2)) (*.f64 42652334381119581/40000000000000 z)) 698782001866861/800000000000) |
(-.f64 (+.f64 (*.f64 193749040387807917/160000000000000 (pow.f64 z 3)) (+.f64 (*.f64 -93017903050015693/80000000000000 (pow.f64 z 2)) (*.f64 42652334381119581/40000000000000 z))) 698782001866861/800000000000) |
(/.f64 -4878157879447497/10000000000000 z) |
(neg.f64 (+.f64 (*.f64 1417538204164517/5000000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 4878157879447497/10000000000000 (/.f64 1 z)))) |
(-.f64 (*.f64 1141346561492631/625000000000 (/.f64 1 (pow.f64 z 3))) (+.f64 (*.f64 1417538204164517/5000000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 4878157879447497/10000000000000 (/.f64 1 z)))) |
(-.f64 (*.f64 1141346561492631/625000000000 (/.f64 1 (pow.f64 z 3))) (+.f64 (*.f64 2455724106749411/500000000000 (/.f64 1 (pow.f64 z 4))) (+.f64 (*.f64 1417538204164517/5000000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 4878157879447497/10000000000000 (/.f64 1 z))))) |
(/.f64 -4878157879447497/10000000000000 z) |
(neg.f64 (+.f64 (*.f64 1417538204164517/5000000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 4878157879447497/10000000000000 (/.f64 1 z)))) |
(-.f64 (*.f64 1141346561492631/625000000000 (/.f64 1 (pow.f64 z 3))) (+.f64 (*.f64 1417538204164517/5000000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 4878157879447497/10000000000000 (/.f64 1 z)))) |
(-.f64 (*.f64 1141346561492631/625000000000 (/.f64 1 (pow.f64 z 3))) (+.f64 (*.f64 2455724106749411/500000000000 (/.f64 1 (pow.f64 z 4))) (+.f64 (*.f64 1417538204164517/5000000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 4878157879447497/10000000000000 (/.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 (sqrt.f64 2/13) (exp.f64 13/2)) (-.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)) (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 z (*.f64 z (-.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 (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 (+.f64 (log.f64 13/2) -1/13) (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 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))))) (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 (/.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 (/.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 (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 (/.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 (*.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 (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) 7/6) (exp.f64 13/2))))) (pow.f64 z 3) (fma.f64 z (*.f64 z (-.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 (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 (+.f64 (log.f64 13/2) -1/13) (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 (/.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 (sqrt.f64 2/13) (/.f64 (fma.f64 1/2 (pow.f64 (+.f64 (log.f64 13/2) -1/13) 2) 27/169) (exp.f64 13/2)))))) (pow.f64 z 3) (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))))) (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 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 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 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 z) (exp.f64 13/2))) |
(/.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)) (exp.f64 (+.f64 13/2 z))) |
-698782001866861/800000000000 |
(-.f64 (*.f64 42652334381119581/40000000000000 z) 698782001866861/800000000000) |
(fma.f64 42652334381119581/40000000000000 z -698782001866861/800000000000) |
(fma.f64 z 42652334381119581/40000000000000 -698782001866861/800000000000) |
(-.f64 (+.f64 (*.f64 -93017903050015693/80000000000000 (pow.f64 z 2)) (*.f64 42652334381119581/40000000000000 z)) 698782001866861/800000000000) |
(+.f64 (*.f64 (*.f64 z z) -93017903050015693/80000000000000) (fma.f64 42652334381119581/40000000000000 z -698782001866861/800000000000)) |
(fma.f64 (*.f64 z z) -93017903050015693/80000000000000 (fma.f64 z 42652334381119581/40000000000000 -698782001866861/800000000000)) |
(fma.f64 z 42652334381119581/40000000000000 (fma.f64 z (*.f64 z -93017903050015693/80000000000000) -698782001866861/800000000000)) |
(fma.f64 z (+.f64 42652334381119581/40000000000000 (*.f64 z -93017903050015693/80000000000000)) -698782001866861/800000000000) |
(-.f64 (+.f64 (*.f64 193749040387807917/160000000000000 (pow.f64 z 3)) (+.f64 (*.f64 -93017903050015693/80000000000000 (pow.f64 z 2)) (*.f64 42652334381119581/40000000000000 z))) 698782001866861/800000000000) |
(+.f64 (fma.f64 193749040387807917/160000000000000 (pow.f64 z 3) (fma.f64 -93017903050015693/80000000000000 (*.f64 z z) (*.f64 z 42652334381119581/40000000000000))) -698782001866861/800000000000) |
(fma.f64 (pow.f64 z 3) 193749040387807917/160000000000000 (fma.f64 (*.f64 z z) -93017903050015693/80000000000000 (fma.f64 z 42652334381119581/40000000000000 -698782001866861/800000000000))) |
(fma.f64 (pow.f64 z 3) 193749040387807917/160000000000000 (fma.f64 z 42652334381119581/40000000000000 (fma.f64 z (*.f64 z -93017903050015693/80000000000000) -698782001866861/800000000000))) |
(fma.f64 (pow.f64 z 3) 193749040387807917/160000000000000 (fma.f64 z (+.f64 42652334381119581/40000000000000 (*.f64 z -93017903050015693/80000000000000)) -698782001866861/800000000000)) |
(/.f64 -4878157879447497/10000000000000 z) |
(neg.f64 (+.f64 (*.f64 1417538204164517/5000000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 4878157879447497/10000000000000 (/.f64 1 z)))) |
(neg.f64 (+.f64 (/.f64 1417538204164517/5000000000000 (*.f64 z z)) (/.f64 4878157879447497/10000000000000 z))) |
(+.f64 (/.f64 -1417538204164517/5000000000000 (*.f64 z z)) (/.f64 -4878157879447497/10000000000000 z)) |
(-.f64 (/.f64 -4878157879447497/10000000000000 z) (/.f64 (/.f64 1417538204164517/5000000000000 z) z)) |
(-.f64 (*.f64 1141346561492631/625000000000 (/.f64 1 (pow.f64 z 3))) (+.f64 (*.f64 1417538204164517/5000000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 4878157879447497/10000000000000 (/.f64 1 z)))) |
(-.f64 (/.f64 1141346561492631/625000000000 (pow.f64 z 3)) (+.f64 (/.f64 1417538204164517/5000000000000 (*.f64 z z)) (/.f64 4878157879447497/10000000000000 z))) |
(+.f64 (+.f64 (/.f64 -1417538204164517/5000000000000 (*.f64 z z)) (/.f64 -4878157879447497/10000000000000 z)) (/.f64 1141346561492631/625000000000 (pow.f64 z 3))) |
(+.f64 (-.f64 (/.f64 -4878157879447497/10000000000000 z) (/.f64 (/.f64 1417538204164517/5000000000000 z) z)) (/.f64 1141346561492631/625000000000 (pow.f64 z 3))) |
(+.f64 (+.f64 (/.f64 1141346561492631/625000000000 (pow.f64 z 3)) (/.f64 -4878157879447497/10000000000000 z)) (/.f64 -1417538204164517/5000000000000 (*.f64 z z))) |
(-.f64 (*.f64 1141346561492631/625000000000 (/.f64 1 (pow.f64 z 3))) (+.f64 (*.f64 2455724106749411/500000000000 (/.f64 1 (pow.f64 z 4))) (+.f64 (*.f64 1417538204164517/5000000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 4878157879447497/10000000000000 (/.f64 1 z))))) |
(-.f64 (/.f64 1141346561492631/625000000000 (pow.f64 z 3)) (+.f64 (+.f64 (/.f64 1417538204164517/5000000000000 (*.f64 z z)) (/.f64 4878157879447497/10000000000000 z)) (/.f64 2455724106749411/500000000000 (pow.f64 z 4)))) |
(-.f64 (/.f64 1141346561492631/625000000000 (pow.f64 z 3)) (+.f64 (/.f64 1417538204164517/5000000000000 (*.f64 z z)) (+.f64 (/.f64 4878157879447497/10000000000000 z) (/.f64 2455724106749411/500000000000 (pow.f64 z 4))))) |
(+.f64 (+.f64 (-.f64 (/.f64 -4878157879447497/10000000000000 z) (/.f64 (/.f64 1417538204164517/5000000000000 z) z)) (/.f64 1141346561492631/625000000000 (pow.f64 z 3))) (/.f64 -2455724106749411/500000000000 (pow.f64 z 4))) |
(+.f64 (/.f64 1141346561492631/625000000000 (pow.f64 z 3)) (+.f64 (/.f64 -1417538204164517/5000000000000 (*.f64 z z)) (+.f64 (/.f64 -4878157879447497/10000000000000 z) (/.f64 -2455724106749411/500000000000 (pow.f64 z 4))))) |
(/.f64 -4878157879447497/10000000000000 z) |
(neg.f64 (+.f64 (*.f64 1417538204164517/5000000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 4878157879447497/10000000000000 (/.f64 1 z)))) |
(neg.f64 (+.f64 (/.f64 1417538204164517/5000000000000 (*.f64 z z)) (/.f64 4878157879447497/10000000000000 z))) |
(+.f64 (/.f64 -1417538204164517/5000000000000 (*.f64 z z)) (/.f64 -4878157879447497/10000000000000 z)) |
(-.f64 (/.f64 -4878157879447497/10000000000000 z) (/.f64 (/.f64 1417538204164517/5000000000000 z) z)) |
(-.f64 (*.f64 1141346561492631/625000000000 (/.f64 1 (pow.f64 z 3))) (+.f64 (*.f64 1417538204164517/5000000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 4878157879447497/10000000000000 (/.f64 1 z)))) |
(-.f64 (/.f64 1141346561492631/625000000000 (pow.f64 z 3)) (+.f64 (/.f64 1417538204164517/5000000000000 (*.f64 z z)) (/.f64 4878157879447497/10000000000000 z))) |
(+.f64 (+.f64 (/.f64 -1417538204164517/5000000000000 (*.f64 z z)) (/.f64 -4878157879447497/10000000000000 z)) (/.f64 1141346561492631/625000000000 (pow.f64 z 3))) |
(+.f64 (-.f64 (/.f64 -4878157879447497/10000000000000 z) (/.f64 (/.f64 1417538204164517/5000000000000 z) z)) (/.f64 1141346561492631/625000000000 (pow.f64 z 3))) |
(+.f64 (+.f64 (/.f64 1141346561492631/625000000000 (pow.f64 z 3)) (/.f64 -4878157879447497/10000000000000 z)) (/.f64 -1417538204164517/5000000000000 (*.f64 z z))) |
(-.f64 (*.f64 1141346561492631/625000000000 (/.f64 1 (pow.f64 z 3))) (+.f64 (*.f64 2455724106749411/500000000000 (/.f64 1 (pow.f64 z 4))) (+.f64 (*.f64 1417538204164517/5000000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 4878157879447497/10000000000000 (/.f64 1 z))))) |
(-.f64 (/.f64 1141346561492631/625000000000 (pow.f64 z 3)) (+.f64 (+.f64 (/.f64 1417538204164517/5000000000000 (*.f64 z z)) (/.f64 4878157879447497/10000000000000 z)) (/.f64 2455724106749411/500000000000 (pow.f64 z 4)))) |
(-.f64 (/.f64 1141346561492631/625000000000 (pow.f64 z 3)) (+.f64 (/.f64 1417538204164517/5000000000000 (*.f64 z z)) (+.f64 (/.f64 4878157879447497/10000000000000 z) (/.f64 2455724106749411/500000000000 (pow.f64 z 4))))) |
(+.f64 (+.f64 (-.f64 (/.f64 -4878157879447497/10000000000000 z) (/.f64 (/.f64 1417538204164517/5000000000000 z) z)) (/.f64 1141346561492631/625000000000 (pow.f64 z 3))) (/.f64 -2455724106749411/500000000000 (pow.f64 z 4))) |
(+.f64 (/.f64 1141346561492631/625000000000 (pow.f64 z 3)) (+.f64 (/.f64 -1417538204164517/5000000000000 (*.f64 z z)) (+.f64 (/.f64 -4878157879447497/10000000000000 z) (/.f64 -2455724106749411/500000000000 (pow.f64 z 4))))) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.8b | (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)))))) |
| 1.0b | (sqrt.f64 (*.f64 (PI.f64) 2)) | |
| 1.1b | (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 | |
|---|---|---|---|---|
| 0.0ms | z | @ | 0 | (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)))))) |
| 0.0ms | z | @ | inf | (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)))))) |
| 0.0ms | z | @ | -inf | (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)))))) |
| 1× | batch-egg-rewrite |
| 483× | fma-neg_binary64 |
| 363× | log1p-udef_binary64 |
| 362× | expm1-udef_binary64 |
| 212× | add-sqr-sqrt_binary64 |
| 204× | expm1-log1p-u_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 18 | 25 |
| 1 | 418 | 25 |
| 2 | 6234 | 25 |
| 1× | node limit |
| Inputs |
|---|
(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)))))) |
| Outputs |
|---|
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| 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 |
|---|---|---|
| ✓ | 0.6b | (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))) |
| 1.0b | (sqrt.f64 (*.f64 (PI.f64) 2)) | |
| 1.1b | (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 654 to 538 computations (17.7% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | z | @ | 0 | (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))) |
| 1.0ms | z | @ | -inf | (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))) |
| 1.0ms | z | @ | inf | (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))) |
| 1× | batch-egg-rewrite |
| 536× | log-prod_binary64 |
| 441× | fma-def_binary64 |
| 334× | pow2_binary64 |
| 269× | fma-neg_binary64 |
| 262× | log-div_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 16 |
| 1 | 264 | 16 |
| 2 | 3810 | 16 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))) |
| Outputs |
|---|
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-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 -3147848041806007/2500000000000 (+.f64 z 1))))))) |
| 1× | egg-herbie |
| 782× | fma-def_binary64 |
| 590× | fma-neg_binary64 |
| 457× | times-frac_binary64 |
| 338× | cancel-sign-sub-inv_binary64 |
| 307× | associate-/l/_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 41 | 185 |
| 1 | 105 | 177 |
| 2 | 268 | 177 |
| 3 | 761 | 171 |
| 4 | 2430 | 168 |
| 5 | 7480 | 168 |
| 1× | node limit |
| Inputs |
|---|
-698782001866861/800000000000 |
(-.f64 (*.f64 42652334381119581/40000000000000 z) 698782001866861/800000000000) |
(-.f64 (+.f64 (*.f64 -93017903050015693/80000000000000 (pow.f64 z 2)) (*.f64 42652334381119581/40000000000000 z)) 698782001866861/800000000000) |
(-.f64 (+.f64 (*.f64 193749040387807917/160000000000000 (pow.f64 z 3)) (+.f64 (*.f64 -93017903050015693/80000000000000 (pow.f64 z 2)) (*.f64 42652334381119581/40000000000000 z))) 698782001866861/800000000000) |
(/.f64 -4878157879447497/10000000000000 z) |
(neg.f64 (+.f64 (*.f64 1417538204164517/5000000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 4878157879447497/10000000000000 (/.f64 1 z)))) |
(-.f64 (*.f64 1141346561492631/625000000000 (/.f64 1 (pow.f64 z 3))) (+.f64 (*.f64 1417538204164517/5000000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 4878157879447497/10000000000000 (/.f64 1 z)))) |
(-.f64 (*.f64 1141346561492631/625000000000 (/.f64 1 (pow.f64 z 3))) (+.f64 (*.f64 2455724106749411/500000000000 (/.f64 1 (pow.f64 z 4))) (+.f64 (*.f64 1417538204164517/5000000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 4878157879447497/10000000000000 (/.f64 1 z))))) |
(/.f64 -4878157879447497/10000000000000 z) |
(neg.f64 (+.f64 (*.f64 1417538204164517/5000000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 4878157879447497/10000000000000 (/.f64 1 z)))) |
(-.f64 (*.f64 1141346561492631/625000000000 (/.f64 1 (pow.f64 z 3))) (+.f64 (*.f64 1417538204164517/5000000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 4878157879447497/10000000000000 (/.f64 1 z)))) |
(-.f64 (*.f64 1141346561492631/625000000000 (/.f64 1 (pow.f64 z 3))) (+.f64 (*.f64 2455724106749411/500000000000 (/.f64 1 (pow.f64 z 4))) (+.f64 (*.f64 1417538204164517/5000000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 4878157879447497/10000000000000 (/.f64 1 z))))) |
| Outputs |
|---|
-698782001866861/800000000000 |
(-.f64 (*.f64 42652334381119581/40000000000000 z) 698782001866861/800000000000) |
(fma.f64 42652334381119581/40000000000000 z -698782001866861/800000000000) |
(-.f64 (+.f64 (*.f64 -93017903050015693/80000000000000 (pow.f64 z 2)) (*.f64 42652334381119581/40000000000000 z)) 698782001866861/800000000000) |
(+.f64 (*.f64 -93017903050015693/80000000000000 (*.f64 z z)) (fma.f64 42652334381119581/40000000000000 z -698782001866861/800000000000)) |
(fma.f64 -93017903050015693/80000000000000 (*.f64 z z) (fma.f64 42652334381119581/40000000000000 z -698782001866861/800000000000)) |
(fma.f64 42652334381119581/40000000000000 z (fma.f64 -93017903050015693/80000000000000 (*.f64 z z) -698782001866861/800000000000)) |
(fma.f64 z (fma.f64 z -93017903050015693/80000000000000 42652334381119581/40000000000000) -698782001866861/800000000000) |
(-.f64 (+.f64 (*.f64 193749040387807917/160000000000000 (pow.f64 z 3)) (+.f64 (*.f64 -93017903050015693/80000000000000 (pow.f64 z 2)) (*.f64 42652334381119581/40000000000000 z))) 698782001866861/800000000000) |
(+.f64 (fma.f64 193749040387807917/160000000000000 (pow.f64 z 3) (fma.f64 -93017903050015693/80000000000000 (*.f64 z z) (*.f64 42652334381119581/40000000000000 z))) -698782001866861/800000000000) |
(fma.f64 193749040387807917/160000000000000 (pow.f64 z 3) (fma.f64 -93017903050015693/80000000000000 (*.f64 z z) (fma.f64 42652334381119581/40000000000000 z -698782001866861/800000000000))) |
(fma.f64 193749040387807917/160000000000000 (pow.f64 z 3) (fma.f64 42652334381119581/40000000000000 z (fma.f64 -93017903050015693/80000000000000 (*.f64 z z) -698782001866861/800000000000))) |
(fma.f64 z (fma.f64 z -93017903050015693/80000000000000 42652334381119581/40000000000000) (fma.f64 193749040387807917/160000000000000 (pow.f64 z 3) -698782001866861/800000000000)) |
(fma.f64 z (fma.f64 z (fma.f64 z 193749040387807917/160000000000000 -93017903050015693/80000000000000) 42652334381119581/40000000000000) -698782001866861/800000000000) |
(/.f64 -4878157879447497/10000000000000 z) |
(neg.f64 (+.f64 (*.f64 1417538204164517/5000000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 4878157879447497/10000000000000 (/.f64 1 z)))) |
(neg.f64 (+.f64 (/.f64 1417538204164517/5000000000000 (*.f64 z z)) (/.f64 4878157879447497/10000000000000 z))) |
(+.f64 (/.f64 -1417538204164517/5000000000000 (*.f64 z z)) (/.f64 -4878157879447497/10000000000000 z)) |
(+.f64 (/.f64 (/.f64 -1417538204164517/5000000000000 z) z) (/.f64 -4878157879447497/10000000000000 z)) |
(-.f64 (*.f64 1141346561492631/625000000000 (/.f64 1 (pow.f64 z 3))) (+.f64 (*.f64 1417538204164517/5000000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 4878157879447497/10000000000000 (/.f64 1 z)))) |
(-.f64 (/.f64 1141346561492631/625000000000 (pow.f64 z 3)) (+.f64 (/.f64 1417538204164517/5000000000000 (*.f64 z z)) (/.f64 4878157879447497/10000000000000 z))) |
(+.f64 (+.f64 (/.f64 -1417538204164517/5000000000000 (*.f64 z z)) (/.f64 -4878157879447497/10000000000000 z)) (/.f64 1141346561492631/625000000000 (pow.f64 z 3))) |
(+.f64 (+.f64 (/.f64 (/.f64 -1417538204164517/5000000000000 z) z) (/.f64 -4878157879447497/10000000000000 z)) (/.f64 1141346561492631/625000000000 (pow.f64 z 3))) |
(-.f64 (*.f64 1141346561492631/625000000000 (/.f64 1 (pow.f64 z 3))) (+.f64 (*.f64 2455724106749411/500000000000 (/.f64 1 (pow.f64 z 4))) (+.f64 (*.f64 1417538204164517/5000000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 4878157879447497/10000000000000 (/.f64 1 z))))) |
(-.f64 (/.f64 1141346561492631/625000000000 (pow.f64 z 3)) (+.f64 (+.f64 (/.f64 1417538204164517/5000000000000 (*.f64 z z)) (/.f64 4878157879447497/10000000000000 z)) (/.f64 2455724106749411/500000000000 (pow.f64 z 4)))) |
(-.f64 (/.f64 1141346561492631/625000000000 (pow.f64 z 3)) (+.f64 (/.f64 1417538204164517/5000000000000 (*.f64 z z)) (+.f64 (/.f64 4878157879447497/10000000000000 z) (/.f64 2455724106749411/500000000000 (pow.f64 z 4))))) |
(+.f64 (+.f64 (+.f64 (/.f64 -1417538204164517/5000000000000 (*.f64 z z)) (/.f64 -4878157879447497/10000000000000 z)) (/.f64 1141346561492631/625000000000 (pow.f64 z 3))) (/.f64 -2455724106749411/500000000000 (pow.f64 z 4))) |
(+.f64 (+.f64 (/.f64 -1417538204164517/5000000000000 (*.f64 z z)) (/.f64 -4878157879447497/10000000000000 z)) (+.f64 (/.f64 1141346561492631/625000000000 (pow.f64 z 3)) (/.f64 -2455724106749411/500000000000 (pow.f64 z 4)))) |
(-.f64 (+.f64 (/.f64 (/.f64 -1417538204164517/5000000000000 z) z) (+.f64 (/.f64 -4878157879447497/10000000000000 z) (/.f64 -2455724106749411/500000000000 (pow.f64 z 4)))) (/.f64 -1141346561492631/625000000000 (pow.f64 z 3))) |
(/.f64 -4878157879447497/10000000000000 z) |
(neg.f64 (+.f64 (*.f64 1417538204164517/5000000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 4878157879447497/10000000000000 (/.f64 1 z)))) |
(neg.f64 (+.f64 (/.f64 1417538204164517/5000000000000 (*.f64 z z)) (/.f64 4878157879447497/10000000000000 z))) |
(+.f64 (/.f64 -1417538204164517/5000000000000 (*.f64 z z)) (/.f64 -4878157879447497/10000000000000 z)) |
(+.f64 (/.f64 (/.f64 -1417538204164517/5000000000000 z) z) (/.f64 -4878157879447497/10000000000000 z)) |
(-.f64 (*.f64 1141346561492631/625000000000 (/.f64 1 (pow.f64 z 3))) (+.f64 (*.f64 1417538204164517/5000000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 4878157879447497/10000000000000 (/.f64 1 z)))) |
(-.f64 (/.f64 1141346561492631/625000000000 (pow.f64 z 3)) (+.f64 (/.f64 1417538204164517/5000000000000 (*.f64 z z)) (/.f64 4878157879447497/10000000000000 z))) |
(+.f64 (+.f64 (/.f64 -1417538204164517/5000000000000 (*.f64 z z)) (/.f64 -4878157879447497/10000000000000 z)) (/.f64 1141346561492631/625000000000 (pow.f64 z 3))) |
(+.f64 (+.f64 (/.f64 (/.f64 -1417538204164517/5000000000000 z) z) (/.f64 -4878157879447497/10000000000000 z)) (/.f64 1141346561492631/625000000000 (pow.f64 z 3))) |
(-.f64 (*.f64 1141346561492631/625000000000 (/.f64 1 (pow.f64 z 3))) (+.f64 (*.f64 2455724106749411/500000000000 (/.f64 1 (pow.f64 z 4))) (+.f64 (*.f64 1417538204164517/5000000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 4878157879447497/10000000000000 (/.f64 1 z))))) |
(-.f64 (/.f64 1141346561492631/625000000000 (pow.f64 z 3)) (+.f64 (+.f64 (/.f64 1417538204164517/5000000000000 (*.f64 z z)) (/.f64 4878157879447497/10000000000000 z)) (/.f64 2455724106749411/500000000000 (pow.f64 z 4)))) |
(-.f64 (/.f64 1141346561492631/625000000000 (pow.f64 z 3)) (+.f64 (/.f64 1417538204164517/5000000000000 (*.f64 z z)) (+.f64 (/.f64 4878157879447497/10000000000000 z) (/.f64 2455724106749411/500000000000 (pow.f64 z 4))))) |
(+.f64 (+.f64 (+.f64 (/.f64 -1417538204164517/5000000000000 (*.f64 z z)) (/.f64 -4878157879447497/10000000000000 z)) (/.f64 1141346561492631/625000000000 (pow.f64 z 3))) (/.f64 -2455724106749411/500000000000 (pow.f64 z 4))) |
(+.f64 (+.f64 (/.f64 -1417538204164517/5000000000000 (*.f64 z z)) (/.f64 -4878157879447497/10000000000000 z)) (+.f64 (/.f64 1141346561492631/625000000000 (pow.f64 z 3)) (/.f64 -2455724106749411/500000000000 (pow.f64 z 4)))) |
(-.f64 (+.f64 (/.f64 (/.f64 -1417538204164517/5000000000000 z) z) (+.f64 (/.f64 -4878157879447497/10000000000000 z) (/.f64 -2455724106749411/500000000000 (pow.f64 z 4)))) (/.f64 -1141346561492631/625000000000 (pow.f64 z 3))) |
Compiled 96666 to 80297 computations (16.9% saved)
112 alts after pruning (110 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 997 | 68 | 1065 |
| Fresh | 27 | 42 | 69 |
| Picked | 1 | 0 | 1 |
| Done | 3 | 2 | 5 |
| Total | 1028 | 112 | 1140 |
| Status | Error | Program |
|---|---|---|
| 3.7b | (*.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 (-.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)))) | |
| 3.6b | (*.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))) (/.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))))) | |
| 3.5b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (+.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))))) | |
| 54.9b | (*.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 (/.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)) (*.f64 (exp.f64 z) (exp.f64 13/2))))) | |
| 4.9b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (-.f64 (/.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) 2) (-.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.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 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 (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 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)))))) | |
| 3.6b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (/.f64 1 (/.f64 (*.f64 (+.f64 z 1) (+.f64 z 2)) (fma.f64 -3147848041806007/2500000000000 (+.f64 z 2) (*.f64 (+.f64 z 1) 7713234287776531/10000000000000))))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -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 (*.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))))) | |
| 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 (neg.f64 (+.f64 z 13/2))))))) | |
| 3.8b | (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 (PI.f64)) (exp.f64 (-.f64 (-.f64 -13/2 z) (*.f64 (-.f64 1/2 z) (log.f64 (+.f64 z 13/2))))))) (+.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 -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))))) | |
| 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 (PI.f64)) (sqrt.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 (*.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 67652036812175649347802002964249/100000000000000000000000000000 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 67652036812175649347802002964249/100000000000000000000000000000 z))))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 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 (/.f64 1 (exp.f64 z)) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 13/2))))) |
| 3.4b | (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (/.f64 (exp.f64 -13/2) (exp.f64 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 (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 (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) 2) (-.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))))) (/.f64 (pow.f64 (fma.f64 (/.f64 1 (+.f64 z 1)) -3147848041806007/2500000000000 (/.f64 7713234287776531/10000000000000 (+.f64 z 2))) 2) (-.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))))) | |
| 3.4b | (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 (pow.f64 (PI.f64) 1/4) 2) (/.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)))) | |
| 4.4b | (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 (PI.f64)) (expm1.f64 (log1p.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)))) | |
| 3.6b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.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))))) | |
| 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 (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 (neg.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))) (/.f64 1 (neg.f64 (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 (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)))) | |
| 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 (-.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 (*.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 (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) 2) (/.f64 9908947294301912793614221284049/6250000000000000000000000 (pow.f64 (-.f64 z -1) 2))) (-.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)))) | |
| 3.4b | (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) 3) (/.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)))) | |
| 3.9b | (*.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))))) | |
| 36.8b | (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 (PI.f64)) (+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (exp.f64 (-.f64 -13/2 z)) (pow.f64 (+.f64 z 13/2) (-.f64 1/2 z)))))) (log.f64 (sqrt.f64 (exp.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 (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)) (*.f64 (exp.f64 z) (exp.f64 13/2))))) | |
| 3.8b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (/.f64 (+.f64 (*.f64 (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (*.f64 z z))) (-.f64 (+.f64 (/.f64 9908947294301912793614221284049/6250000000000000000000000 (pow.f64 (+.f64 z 1) 2)) (/.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 (/.f64 -31191860336727207531769765603776766852501482343/15625000000000000000000000000000000000 (pow.f64 (+.f64 z 1) 3)) (/.f64 458891030965964263706993392018425544321343929291/1000000000000000000000000000000000000000 (pow.f64 (+.f64 z 2) 3))))) (*.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (-.f64 (+.f64 (/.f64 9908947294301912793614221284049/6250000000000000000000000 (pow.f64 (+.f64 z 1) 2)) (/.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))))) | |
| ✓ | 3.7b | (*.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 (*.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)) (*.f64 (exp.f64 z) (exp.f64 13/2))))) | |
| ▶ | 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 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))))) | |
| 3.8b | (*.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)) (expm1.f64 (log1p.f64 (exp.f64 (+.f64 z 13/2))))))) | |
| 3.8b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (-.f64 (/.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) 2) (-.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.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 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)) (expm1.f64 (log1p.f64 (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)))) | |
| 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))) | |
| 3.7b | (*.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)) (exp.f64 (+.f64 z 13/2))))) | |
| 3.5b | (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (pow.f64 (+.f64 z 13/2) (-.f64 1/2 z))) 2)) (/.f64 (exp.f64 (-.f64 -13/2 z)) (cbrt.f64 (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 z 13/2) (+.f64 z -1/2)) (cbrt.f64 (pow.f64 (exp.f64 (+.f64 z 13/2)) 3))))) | |
| 3.6b | (*.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)))) | |
| 4.3b | (*.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) (+.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))) |
| 3.6b | (*.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 (-.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)))) | |
| 3.6b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (pow.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.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))))) | |
| 6.0b | (*.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)) (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (+.f64 z 13/2)) 2)) (cbrt.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)) (*.f64 (exp.f64 z) (exp.f64 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 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)))) | |
| 3.7b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (/.f64 (+.f64 (+.f64 z 1) (*.f64 (*.f64 (+.f64 z 2) 10000000000000/7713234287776531) -3147848041806007/2500000000000)) (*.f64 (*.f64 (+.f64 z 2) 10000000000000/7713234287776531) (+.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)) (*.f64 (exp.f64 z) (exp.f64 13/2))))) | |
| 4.3b | (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 (PI.f64) 2))) 3) (*.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))))) | |
| 13.4b | (*.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))) | |
| 3.5b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (/.f64 (fma.f64 (+.f64 19999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) (+.f64 19999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) -1) (+.f64 (+.f64 19999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) 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))))) | |
| ▶ | 5.1b | (*.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 (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)))))) |
| 3.7b | (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (*.f64 (+.f64 (-.f64 (/.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) 2) (-.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.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 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)) (*.f64 (exp.f64 z) (exp.f64 13/2))))) | |
| 56.6b | (*.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 (sqrt.f64 2/13) (exp.f64 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)) (*.f64 (exp.f64 z) (exp.f64 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 (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) 2) (-.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.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 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))))) | |
| 4.9b | (*.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)) (pow.f64 (exp.f64 (sqrt.f64 (+.f64 z 13/2))) (sqrt.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 (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)))) | |
| 3.7b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (-.f64 (/.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) 2) (-.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.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 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) 1) (/.f64 (pow.f64 (+.f64 z 13/2) -1/2) (exp.f64 (+.f64 z 13/2)))))) | |
| 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 (+.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 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)))) | |
| 3.9b | (*.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))))) | |
| 6.0b | (*.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)) (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (+.f64 z 13/2)) 2)) (cbrt.f64 (+.f64 z 13/2)))))) | |
| 52.9b | (*.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))))) | |
| 3.7b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (/.f64 (+.f64 (*.f64 3147848041806007/2500000000000 (+.f64 z 2)) (*.f64 (+.f64 (neg.f64 z) -1) 7713234287776531/10000000000000)) (*.f64 (+.f64 (neg.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)) (*.f64 (exp.f64 z) (exp.f64 13/2))))) | |
| ▶ | 3.2b | (*.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 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)))) |
| 3.5b | (*.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)))) | |
| 3.5b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (/.f64 (-.f64 (pow.f64 (+.f64 19999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) 3) 1) (+.f64 (*.f64 (+.f64 19999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) (+.f64 19999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))))) (+.f64 1 (*.f64 (+.f64 19999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) 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 (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))))) | |
| 3.6b | (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (exp.f64 (-.f64 -13/2 z))) (*.f64 (sqrt.f64 (exp.f64 (-.f64 -13/2 z))) (pow.f64 (+.f64 z 13/2) (neg.f64 (-.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 (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) 2) (-.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))))) (/.f64 (pow.f64 (/.f64 (+.f64 (+.f64 z 2) (*.f64 (*.f64 (+.f64 z 1) -2500000000000/3147848041806007) 7713234287776531/10000000000000)) (*.f64 (*.f64 (+.f64 z 1) -2500000000000/3147848041806007) (+.f64 z 2))) 2) (-.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 (*.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)))) | |
| 3.7b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (-.f64 (/.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) 2) (-.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))))) (/.f64 (pow.f64 (*.f64 (fma.f64 (+.f64 z 1) 7713234287776531/10000000000000 (fma.f64 -3147848041806007/2500000000000 z -3147848041806007/1250000000000)) (/.f64 1 (*.f64 (+.f64 z 1) (+.f64 z 2)))) 2) (-.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)) (pow.f64 (cbrt.f64 (exp.f64 (+.f64 z 13/2))) 3)))) | |
| 3.7b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (-.f64 (/.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) 2) (-.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))))) (/.f64 (pow.f64 (/.f64 (+.f64 (+.f64 z 1) (*.f64 (*.f64 (+.f64 z 2) 10000000000000/7713234287776531) -3147848041806007/2500000000000)) (*.f64 (*.f64 (+.f64 z 2) 10000000000000/7713234287776531) (+.f64 z 1))) 2) (-.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 (*.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 (+.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)))) | |
| 3.8b | (*.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))))) (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 (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 z)) (/.f64 1 (exp.f64 13/2))))) | |
| 3.5b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))) 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))))) | |
| 50.0b | (*.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 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (/.f64 (+.f64 (+.f64 z 2) (*.f64 (*.f64 (+.f64 z 1) -2500000000000/3147848041806007) 7713234287776531/10000000000000)) (*.f64 (*.f64 (+.f64 z 1) -2500000000000/3147848041806007) (+.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))))) | |
| 3.5b | (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 -13/2 z))) 3) (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)))) | |
| 4.3b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (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))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 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 1 (/.f64 (-.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) (-.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 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 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) (+.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 (fma.f64 -3147848041806007/2500000000000 (+.f64 z 2) (*.f64 (+.f64 z 1) 7713234287776531/10000000000000)) (+.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)) (*.f64 (exp.f64 z) (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))) (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)))) | |
| 3.9b | (*.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))))) (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))) 3))) | |
| 3.3b | (*.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 (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)))) | |
| 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) (pow.f64 (cbrt.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))))))) | |
| 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))))) | |
| 4.6b | (*.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 (pow.f64 (exp.f64 (+.f64 z 13/2)) 3) 1/3)))) | |
| 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 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (exp.f64 z) (exp.f64 13/2))))) | |
| 50.0b | (*.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))))) | |
| 3.7b | (*.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)))))) | |
| 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 (/.f64 (pow.f64 (+.f64 z 13/2) z) (exp.f64 z)) (/.f64 (pow.f64 (+.f64 z 13/2) -1/2) (exp.f64 13/2))))) | |
| 4.1b | (*.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 (pow.f64 (cbrt.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)))) | |
| 3.7b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (-.f64 (/.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) 2) (-.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.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 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))))) | |
| 3.4b | (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (cbrt.f64 (pow.f64 (PI.f64) 3/2)) (/.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)))) | |
| 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))))) | |
| 3.8b | (*.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))))) | |
| 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))))) (exp.f64 (-.f64 (*.f64 (+.f64 z -1/2) (log.f64 (+.f64 z 13/2))) (+.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 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)))) | |
| 3.8b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (/.f64 (+.f64 (*.f64 (+.f64 z 2) 10000000000000/7713234287776531) (*.f64 (*.f64 (+.f64 z 1) -2500000000000/3147848041806007) 1)) (*.f64 (*.f64 (+.f64 z 1) -2500000000000/3147848041806007) (*.f64 (+.f64 z 2) 10000000000000/7713234287776531)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -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))))) |
Compiled 18711 to 15845 computations (15.3% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 1.0b | (sqrt.f64 (PI.f64)) | |
| 1.0b | (exp.f64 (-.f64 -13/2 z)) | |
| ✓ | 1.1b | (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (-.f64 z -1))) |
| 1.4b | (/.f64 (exp.f64 (-.f64 -13/2 z)) (pow.f64 (-.f64 z -13/2) (-.f64 1/2 z))) |
Compiled 537 to 448 computations (16.6% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | z | @ | 0 | (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (-.f64 z -1))) |
| 0.0ms | z | @ | inf | (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (-.f64 z -1))) |
| 0.0ms | z | @ | -inf | (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (-.f64 z -1))) |
| 1× | batch-egg-rewrite |
| 962× | prod-diff_binary64 |
| 455× | log-prod_binary64 |
| 382× | fma-def_binary64 |
| 217× | log-div_binary64 |
| 210× | fma-neg_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 13 |
| 1 | 217 | 13 |
| 2 | 3156 | 13 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (-.f64 z -1))) |
| Outputs |
|---|
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| 1× | egg-herbie |
| 725× | distribute-neg-frac_binary64 |
| 580× | times-frac_binary64 |
| 529× | fma-def_binary64 |
| 442× | associate-*l*_binary64 |
| 386× | associate-/l/_binary64 |
Useful iterations: 5 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 38 | 180 |
| 1 | 105 | 180 |
| 2 | 243 | 180 |
| 3 | 570 | 177 |
| 4 | 1726 | 173 |
| 5 | 6946 | 171 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 6765203681218851/10000000000000 z) |
(-.f64 (*.f64 6765203681218851/10000000000000 (/.f64 1 z)) 3147848041806007/2500000000000) |
(-.f64 (+.f64 (*.f64 3147848041806007/2500000000000 z) (*.f64 6765203681218851/10000000000000 (/.f64 1 z))) 3147848041806007/2500000000000) |
(-.f64 (+.f64 (*.f64 3147848041806007/2500000000000 z) (+.f64 (*.f64 -3147848041806007/2500000000000 (pow.f64 z 2)) (*.f64 6765203681218851/10000000000000 (/.f64 1 z)))) 3147848041806007/2500000000000) |
(/.f64 -5826188486005177/10000000000000 z) |
(-.f64 (*.f64 3147848041806007/2500000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 5826188486005177/10000000000000 (/.f64 1 z))) |
(-.f64 (*.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 (+.f64 (*.f64 3147848041806007/2500000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 3147848041806007/2500000000000 (/.f64 1 (pow.f64 z 4)))) (+.f64 (*.f64 3147848041806007/2500000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 5826188486005177/10000000000000 (/.f64 1 z)))) |
(/.f64 -5826188486005177/10000000000000 z) |
(-.f64 (*.f64 3147848041806007/2500000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 5826188486005177/10000000000000 (/.f64 1 z))) |
(-.f64 (*.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 (+.f64 (*.f64 3147848041806007/2500000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 3147848041806007/2500000000000 (/.f64 1 (pow.f64 z 4)))) (+.f64 (*.f64 3147848041806007/2500000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 5826188486005177/10000000000000 (/.f64 1 z)))) |
| Outputs |
|---|
(/.f64 6765203681218851/10000000000000 z) |
(-.f64 (*.f64 6765203681218851/10000000000000 (/.f64 1 z)) 3147848041806007/2500000000000) |
(+.f64 (/.f64 6765203681218851/10000000000000 z) -3147848041806007/2500000000000) |
(-.f64 (+.f64 (*.f64 3147848041806007/2500000000000 z) (*.f64 6765203681218851/10000000000000 (/.f64 1 z))) 3147848041806007/2500000000000) |
(+.f64 (fma.f64 3147848041806007/2500000000000 z (/.f64 6765203681218851/10000000000000 z)) -3147848041806007/2500000000000) |
(+.f64 (fma.f64 z 3147848041806007/2500000000000 (/.f64 6765203681218851/10000000000000 z)) -3147848041806007/2500000000000) |
(+.f64 (/.f64 6765203681218851/10000000000000 z) (fma.f64 z 3147848041806007/2500000000000 -3147848041806007/2500000000000)) |
(-.f64 (+.f64 (*.f64 3147848041806007/2500000000000 z) (+.f64 (*.f64 -3147848041806007/2500000000000 (pow.f64 z 2)) (*.f64 6765203681218851/10000000000000 (/.f64 1 z)))) 3147848041806007/2500000000000) |
(+.f64 (fma.f64 3147848041806007/2500000000000 z (fma.f64 -3147848041806007/2500000000000 (*.f64 z z) (/.f64 6765203681218851/10000000000000 z))) -3147848041806007/2500000000000) |
(+.f64 -3147848041806007/2500000000000 (fma.f64 z 3147848041806007/2500000000000 (fma.f64 -3147848041806007/2500000000000 (*.f64 z z) (/.f64 6765203681218851/10000000000000 z)))) |
(+.f64 (fma.f64 z 3147848041806007/2500000000000 (/.f64 6765203681218851/10000000000000 z)) (fma.f64 z (*.f64 z -3147848041806007/2500000000000) -3147848041806007/2500000000000)) |
(+.f64 (/.f64 6765203681218851/10000000000000 z) (fma.f64 z (fma.f64 z -3147848041806007/2500000000000 3147848041806007/2500000000000) -3147848041806007/2500000000000)) |
(/.f64 -5826188486005177/10000000000000 z) |
(-.f64 (*.f64 3147848041806007/2500000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 5826188486005177/10000000000000 (/.f64 1 z))) |
(-.f64 (/.f64 3147848041806007/2500000000000 (*.f64 z z)) (/.f64 5826188486005177/10000000000000 z)) |
(+.f64 (/.f64 (/.f64 3147848041806007/2500000000000 z) z) (/.f64 -5826188486005177/10000000000000 z)) |
(+.f64 (/.f64 3147848041806007/2500000000000 (*.f64 z z)) (/.f64 -5826188486005177/10000000000000 z)) |
(-.f64 (/.f64 -5826188486005177/10000000000000 z) (/.f64 (/.f64 -3147848041806007/2500000000000 z) z)) |
(-.f64 (*.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 (/.f64 3147848041806007/2500000000000 (*.f64 z z)) (+.f64 (/.f64 5826188486005177/10000000000000 z) (/.f64 3147848041806007/2500000000000 (pow.f64 z 3)))) |
(+.f64 (-.f64 (/.f64 (/.f64 3147848041806007/2500000000000 z) z) (/.f64 3147848041806007/2500000000000 (pow.f64 z 3))) (/.f64 -5826188486005177/10000000000000 z)) |
(-.f64 (/.f64 (/.f64 3147848041806007/2500000000000 z) z) (-.f64 (/.f64 3147848041806007/2500000000000 (pow.f64 z 3)) (/.f64 -5826188486005177/10000000000000 z))) |
(+.f64 (/.f64 3147848041806007/2500000000000 (*.f64 z z)) (+.f64 (/.f64 -5826188486005177/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (pow.f64 z 3)))) |
(-.f64 (+.f64 (/.f64 -5826188486005177/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (pow.f64 z 3))) (/.f64 (/.f64 -3147848041806007/2500000000000 z) z)) |
(-.f64 (+.f64 (*.f64 3147848041806007/2500000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 3147848041806007/2500000000000 (/.f64 1 (pow.f64 z 4)))) (+.f64 (*.f64 3147848041806007/2500000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 5826188486005177/10000000000000 (/.f64 1 z)))) |
(+.f64 (/.f64 3147848041806007/2500000000000 (*.f64 z z)) (-.f64 (/.f64 3147848041806007/2500000000000 (pow.f64 z 4)) (+.f64 (/.f64 5826188486005177/10000000000000 z) (/.f64 3147848041806007/2500000000000 (pow.f64 z 3))))) |
(+.f64 (/.f64 (/.f64 3147848041806007/2500000000000 z) z) (-.f64 (-.f64 (/.f64 3147848041806007/2500000000000 (pow.f64 z 4)) (/.f64 3147848041806007/2500000000000 (pow.f64 z 3))) (/.f64 5826188486005177/10000000000000 z))) |
(+.f64 (-.f64 (/.f64 (/.f64 3147848041806007/2500000000000 z) z) (-.f64 (/.f64 3147848041806007/2500000000000 (pow.f64 z 3)) (/.f64 -5826188486005177/10000000000000 z))) (/.f64 3147848041806007/2500000000000 (pow.f64 z 4))) |
(+.f64 (+.f64 (/.f64 3147848041806007/2500000000000 (*.f64 z z)) (+.f64 (/.f64 -5826188486005177/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (pow.f64 z 3)))) (/.f64 3147848041806007/2500000000000 (pow.f64 z 4))) |
(+.f64 (/.f64 3147848041806007/2500000000000 (*.f64 z z)) (fma.f64 (/.f64 1 (pow.f64 z 3)) (+.f64 -3147848041806007/2500000000000 (/.f64 3147848041806007/2500000000000 z)) (/.f64 -5826188486005177/10000000000000 z))) |
(+.f64 (-.f64 (/.f64 -5826188486005177/10000000000000 z) (/.f64 (/.f64 -3147848041806007/2500000000000 z) z)) (/.f64 (+.f64 -3147848041806007/2500000000000 (/.f64 3147848041806007/2500000000000 z)) (pow.f64 z 3))) |
(/.f64 -5826188486005177/10000000000000 z) |
(-.f64 (*.f64 3147848041806007/2500000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 5826188486005177/10000000000000 (/.f64 1 z))) |
(-.f64 (/.f64 3147848041806007/2500000000000 (*.f64 z z)) (/.f64 5826188486005177/10000000000000 z)) |
(+.f64 (/.f64 (/.f64 3147848041806007/2500000000000 z) z) (/.f64 -5826188486005177/10000000000000 z)) |
(+.f64 (/.f64 3147848041806007/2500000000000 (*.f64 z z)) (/.f64 -5826188486005177/10000000000000 z)) |
(-.f64 (/.f64 -5826188486005177/10000000000000 z) (/.f64 (/.f64 -3147848041806007/2500000000000 z) z)) |
(-.f64 (*.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 (/.f64 3147848041806007/2500000000000 (*.f64 z z)) (+.f64 (/.f64 5826188486005177/10000000000000 z) (/.f64 3147848041806007/2500000000000 (pow.f64 z 3)))) |
(+.f64 (-.f64 (/.f64 (/.f64 3147848041806007/2500000000000 z) z) (/.f64 3147848041806007/2500000000000 (pow.f64 z 3))) (/.f64 -5826188486005177/10000000000000 z)) |
(-.f64 (/.f64 (/.f64 3147848041806007/2500000000000 z) z) (-.f64 (/.f64 3147848041806007/2500000000000 (pow.f64 z 3)) (/.f64 -5826188486005177/10000000000000 z))) |
(+.f64 (/.f64 3147848041806007/2500000000000 (*.f64 z z)) (+.f64 (/.f64 -5826188486005177/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (pow.f64 z 3)))) |
(-.f64 (+.f64 (/.f64 -5826188486005177/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (pow.f64 z 3))) (/.f64 (/.f64 -3147848041806007/2500000000000 z) z)) |
(-.f64 (+.f64 (*.f64 3147848041806007/2500000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 3147848041806007/2500000000000 (/.f64 1 (pow.f64 z 4)))) (+.f64 (*.f64 3147848041806007/2500000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 5826188486005177/10000000000000 (/.f64 1 z)))) |
(+.f64 (/.f64 3147848041806007/2500000000000 (*.f64 z z)) (-.f64 (/.f64 3147848041806007/2500000000000 (pow.f64 z 4)) (+.f64 (/.f64 5826188486005177/10000000000000 z) (/.f64 3147848041806007/2500000000000 (pow.f64 z 3))))) |
(+.f64 (/.f64 (/.f64 3147848041806007/2500000000000 z) z) (-.f64 (-.f64 (/.f64 3147848041806007/2500000000000 (pow.f64 z 4)) (/.f64 3147848041806007/2500000000000 (pow.f64 z 3))) (/.f64 5826188486005177/10000000000000 z))) |
(+.f64 (-.f64 (/.f64 (/.f64 3147848041806007/2500000000000 z) z) (-.f64 (/.f64 3147848041806007/2500000000000 (pow.f64 z 3)) (/.f64 -5826188486005177/10000000000000 z))) (/.f64 3147848041806007/2500000000000 (pow.f64 z 4))) |
(+.f64 (+.f64 (/.f64 3147848041806007/2500000000000 (*.f64 z z)) (+.f64 (/.f64 -5826188486005177/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (pow.f64 z 3)))) (/.f64 3147848041806007/2500000000000 (pow.f64 z 4))) |
(+.f64 (/.f64 3147848041806007/2500000000000 (*.f64 z z)) (fma.f64 (/.f64 1 (pow.f64 z 3)) (+.f64 -3147848041806007/2500000000000 (/.f64 3147848041806007/2500000000000 z)) (/.f64 -5826188486005177/10000000000000 z))) |
(+.f64 (-.f64 (/.f64 -5826188486005177/10000000000000 z) (/.f64 (/.f64 -3147848041806007/2500000000000 z) z)) (/.f64 (+.f64 -3147848041806007/2500000000000 (/.f64 3147848041806007/2500000000000 z)) (pow.f64 z 3))) |
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 | @ | 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 | @ | 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)))) |
| 1.0ms | 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)))) |
| 0.0ms | z | @ | -inf | (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) |
| 0.0ms | z | @ | inf | (/.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)))) |
(+.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)))))) |
(fma.f64 6493630508033571946468877/344531250000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 2) (/.f64 (exp.f64 13/2) (*.f64 (sqrt.f64 2/13) z)))) (fma.f64 -2938968468395073868984007209/463050000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 2) (/.f64 (exp.f64 13/2) (*.f64 (sqrt.f64 2/13) (*.f64 z z))))) (*.f64 -28755590378125365543517613/525000000000000000000000 (/.f64 (*.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (sqrt.f64 (PI.f64))) (exp.f64 13/2))))) |
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(*.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 |
|---|---|---|
| 0.6b | (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z))) | |
| 0.7b | (+.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)) | |
| ✓ | 1.8b | (*.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 | |
|---|---|---|---|---|
| 1.0ms | 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))) |
| 0.0ms | z | @ | inf | (*.f64 (/.f64 1 (exp.f64 z)) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 13/2))) |
| 1× | 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 |
|---|
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(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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(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 |
|---|---|---|
| ✓ | 0.7b | (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))) 3) |
| 1.0b | (sqrt.f64 (*.f64 (PI.f64) 2)) | |
| 1.1b | (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 435 to 352 computations (19.1% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 10.0ms | z | @ | 0 | (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))) 3) |
| 7.0ms | z | @ | -inf | (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))) 3) |
| 3.0ms | z | @ | inf | (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))) 3) |
| 1× | batch-egg-rewrite |
| 573× | log-prod_binary64 |
| 325× | pow2_binary64 |
| 272× | pow-unpow_binary64 |
| 256× | prod-diff_binary64 |
| 241× | pow-pow_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 18 |
| 1 | 279 | 18 |
| 2 | 3415 | 18 |
| 1× | node limit |
| Inputs |
|---|
(pow.f64 (cbrt.f64 (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))) 3) |
| 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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(+.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 |
| 932× | fma-def_binary64 |
| 448× | *-commutative_binary64 |
| 376× | associate-+l+_binary64 |
| 356× | associate-+r+_binary64 |
| 211× | times-frac_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 160 | 2707 |
| 1 | 540 | 2525 |
| 2 | 2106 | 1551 |
| 3 | 7738 | 1545 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) (pow.f64 1 1/3)) |
(+.f64 (*.f64 (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (*.f64 1 (pow.f64 (sqrt.f64 2/13) 4)) (pow.f64 (exp.f64 13/2) 4)) 1/9) (-.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 2/3 (*.f64 (pow.f64 (/.f64 (*.f64 1 (pow.f64 (sqrt.f64 2/13) 4)) (pow.f64 (exp.f64 13/2) 4)) 1/9) (-.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)) (pow.f64 1 1/3))) |
(+.f64 (*.f64 (+.f64 (*.f64 2/9 (*.f64 (pow.f64 (/.f64 (*.f64 (exp.f64 13/2) 1) (sqrt.f64 2/13)) 1/9) (pow.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))) 2))) (+.f64 (*.f64 (pow.f64 (/.f64 (*.f64 1 (sqrt.f64 2/13)) (exp.f64 13/2)) 1/3) (+.f64 (*.f64 2/3 (*.f64 (pow.f64 (/.f64 (*.f64 (exp.f64 13/2) 1) (sqrt.f64 2/13)) 1/3) (-.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 (-.f64 (log.f64 13/2) 1/13) (sqrt.f64 2/13)) (exp.f64 13/2)) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (*.f64 (exp.f64 13/2) 1) (sqrt.f64 2/13)) 1/9) (pow.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))) 2)))))))) (*.f64 1/9 (*.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 (exp.f64 13/2) 4) 1) (pow.f64 (sqrt.f64 2/13) 4)) 1/9) (pow.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))) 2))))) (*.f64 1/3 (*.f64 (pow.f64 1 1/3) (-.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 (-.f64 (log.f64 13/2) 1/13) (sqrt.f64 2/13)) (exp.f64 13/2)) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (*.f64 (exp.f64 13/2) 1) (sqrt.f64 2/13)) 1/9) (pow.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))) 2)))))))))) (pow.f64 z 2)) (+.f64 (*.f64 (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (*.f64 1 (pow.f64 (sqrt.f64 2/13) 4)) (pow.f64 (exp.f64 13/2) 4)) 1/9) (-.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 2/3 (*.f64 (pow.f64 (/.f64 (*.f64 1 (pow.f64 (sqrt.f64 2/13) 4)) (pow.f64 (exp.f64 13/2) 4)) 1/9) (-.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)) (pow.f64 1 1/3)))) |
(+.f64 (*.f64 (+.f64 (*.f64 2/9 (*.f64 (pow.f64 (/.f64 (*.f64 (exp.f64 13/2) 1) (sqrt.f64 2/13)) 1/9) (pow.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))) 2))) (+.f64 (*.f64 (pow.f64 (/.f64 (*.f64 1 (sqrt.f64 2/13)) (exp.f64 13/2)) 1/3) (+.f64 (*.f64 2/3 (*.f64 (pow.f64 (/.f64 (*.f64 (exp.f64 13/2) 1) (sqrt.f64 2/13)) 1/3) (-.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 (-.f64 (log.f64 13/2) 1/13) (sqrt.f64 2/13)) (exp.f64 13/2)) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (*.f64 (exp.f64 13/2) 1) (sqrt.f64 2/13)) 1/9) (pow.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))) 2)))))))) (*.f64 1/9 (*.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 (exp.f64 13/2) 4) 1) (pow.f64 (sqrt.f64 2/13) 4)) 1/9) (pow.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))) 2))))) (*.f64 1/3 (*.f64 (pow.f64 1 1/3) (-.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 (-.f64 (log.f64 13/2) 1/13) (sqrt.f64 2/13)) (exp.f64 13/2)) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (*.f64 (exp.f64 13/2) 1) (sqrt.f64 2/13)) 1/9) (pow.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))) 2)))))))))) (pow.f64 z 2)) (+.f64 (*.f64 (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (*.f64 1 (pow.f64 (sqrt.f64 2/13) 4)) (pow.f64 (exp.f64 13/2) 4)) 1/9) (-.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 2/3 (*.f64 (pow.f64 (/.f64 (*.f64 1 (pow.f64 (sqrt.f64 2/13) 4)) (pow.f64 (exp.f64 13/2) 4)) 1/9) (-.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 (pow.f64 z 3) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 (exp.f64 13/2) 2) 1) (pow.f64 (sqrt.f64 2/13) 2)) 1/9) (*.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))) (+.f64 (*.f64 2/3 (*.f64 (pow.f64 (/.f64 (*.f64 (exp.f64 13/2) 1) (sqrt.f64 2/13)) 1/3) (-.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 (-.f64 (log.f64 13/2) 1/13) (sqrt.f64 2/13)) (exp.f64 13/2)) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (*.f64 (exp.f64 13/2) 1) (sqrt.f64 2/13)) 1/9) (pow.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))) 2)))))))) (*.f64 1/9 (*.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 (exp.f64 13/2) 4) 1) (pow.f64 (sqrt.f64 2/13) 4)) 1/9) (pow.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))) 2))))))) (+.f64 (*.f64 2/9 (*.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 (exp.f64 13/2) 5) 1) (pow.f64 (sqrt.f64 2/13) 5)) 1/9) (*.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))) (-.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 (-.f64 (log.f64 13/2) 1/13) (sqrt.f64 2/13)) (exp.f64 13/2)) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (*.f64 (exp.f64 13/2) 1) (sqrt.f64 2/13)) 1/9) (pow.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))) 2))))))))) (+.f64 (*.f64 (pow.f64 (/.f64 (*.f64 1 (sqrt.f64 2/13)) (exp.f64 13/2)) 1/3) (+.f64 (*.f64 2/9 (*.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 (exp.f64 13/2) 8) 1) (pow.f64 (sqrt.f64 2/13) 8)) 1/9) (*.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))) (-.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 (-.f64 (log.f64 13/2) 1/13) (sqrt.f64 2/13)) (exp.f64 13/2)) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (*.f64 (exp.f64 13/2) 1) (sqrt.f64 2/13)) 1/9) (pow.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))) 2))))))))) (*.f64 2/3 (*.f64 (pow.f64 (/.f64 (*.f64 (exp.f64 13/2) 1) (sqrt.f64 2/13)) 1/3) (-.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 2/3 (*.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 (exp.f64 13/2) 5) 1) (pow.f64 (sqrt.f64 2/13) 5)) 1/9) (*.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))) (-.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 (-.f64 (log.f64 13/2) 1/13) (sqrt.f64 2/13)) (exp.f64 13/2)) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (*.f64 (exp.f64 13/2) 1) (sqrt.f64 2/13)) 1/9) (pow.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))) 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 (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 1/27 (*.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 (exp.f64 13/2) 2) 1) (pow.f64 (sqrt.f64 2/13) 2)) 1/3) (pow.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))) 3))) (*.f64 1/6 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))))))))))))) (*.f64 1/3 (*.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 2/3 (*.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 (exp.f64 13/2) 5) 1) (pow.f64 (sqrt.f64 2/13) 5)) 1/9) (*.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))) (-.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 (-.f64 (log.f64 13/2) 1/13) (sqrt.f64 2/13)) (exp.f64 13/2)) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (*.f64 (exp.f64 13/2) 1) (sqrt.f64 2/13)) 1/9) (pow.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))) 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 (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 1/6 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) (*.f64 1/27 (*.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 (exp.f64 13/2) 2) 1) (pow.f64 (sqrt.f64 2/13) 2)) 1/3) (pow.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))) 3))))))))) (pow.f64 1 1/3))))))) (*.f64 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) (pow.f64 1 1/3))))) |
(*.f64 (pow.f64 1 1/3) (/.f64 (pow.f64 (+.f64 13/2 z) (-.f64 z 1/2)) (exp.f64 (+.f64 13/2 z)))) |
(*.f64 (pow.f64 1 1/3) (/.f64 (pow.f64 (+.f64 13/2 z) (-.f64 z 1/2)) (exp.f64 (+.f64 13/2 z)))) |
(*.f64 (pow.f64 1 1/3) (/.f64 (pow.f64 (+.f64 13/2 z) (-.f64 z 1/2)) (exp.f64 (+.f64 13/2 z)))) |
(*.f64 (pow.f64 1 1/3) (/.f64 (pow.f64 (+.f64 13/2 z) (-.f64 z 1/2)) (exp.f64 (+.f64 13/2 z)))) |
(*.f64 (/.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)))) (pow.f64 1 1/3)) |
(*.f64 (/.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)))) (pow.f64 1 1/3)) |
(*.f64 (/.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)))) (pow.f64 1 1/3)) |
(*.f64 (/.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)))) (pow.f64 1 1/3)) |
| Outputs |
|---|
(*.f64 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) (pow.f64 1 1/3)) |
(/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) |
(*.f64 (sqrt.f64 2/13) (exp.f64 -13/2)) |
(+.f64 (*.f64 (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (*.f64 1 (pow.f64 (sqrt.f64 2/13) 4)) (pow.f64 (exp.f64 13/2) 4)) 1/9) (-.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 2/3 (*.f64 (pow.f64 (/.f64 (*.f64 1 (pow.f64 (sqrt.f64 2/13) 4)) (pow.f64 (exp.f64 13/2) 4)) 1/9) (-.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)) (pow.f64 1 1/3))) |
(fma.f64 (*.f64 (*.f64 (*.f64 (pow.f64 (/.f64 (pow.f64 (sqrt.f64 2/13) 4) (pow.f64 (exp.f64 13/2) 4)) 1/18) (pow.f64 (/.f64 (pow.f64 (sqrt.f64 2/13) 4) (pow.f64 (exp.f64 13/2) 4)) 1/18)) (-.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)))) 1) z (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) |
(fma.f64 (*.f64 (*.f64 (pow.f64 (/.f64 4/169 (pow.f64 (exp.f64 13/2) 4)) 1/18) (pow.f64 (/.f64 4/169 (pow.f64 (exp.f64 13/2) 4)) 1/18)) (-.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 (pow.f64 (/.f64 4/169 (exp.f64 26)) 1/18) (pow.f64 (/.f64 4/169 (exp.f64 26)) 1/18)) (*.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))) |
(fma.f64 (*.f64 (*.f64 (pow.f64 (*.f64 4/169 (exp.f64 -26)) 1/18) (pow.f64 (*.f64 4/169 (exp.f64 -26)) 1/18)) (*.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 2/9 (*.f64 (pow.f64 (/.f64 (*.f64 (exp.f64 13/2) 1) (sqrt.f64 2/13)) 1/9) (pow.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))) 2))) (+.f64 (*.f64 (pow.f64 (/.f64 (*.f64 1 (sqrt.f64 2/13)) (exp.f64 13/2)) 1/3) (+.f64 (*.f64 2/3 (*.f64 (pow.f64 (/.f64 (*.f64 (exp.f64 13/2) 1) (sqrt.f64 2/13)) 1/3) (-.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 (-.f64 (log.f64 13/2) 1/13) (sqrt.f64 2/13)) (exp.f64 13/2)) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (*.f64 (exp.f64 13/2) 1) (sqrt.f64 2/13)) 1/9) (pow.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))) 2)))))))) (*.f64 1/9 (*.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 (exp.f64 13/2) 4) 1) (pow.f64 (sqrt.f64 2/13) 4)) 1/9) (pow.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))) 2))))) (*.f64 1/3 (*.f64 (pow.f64 1 1/3) (-.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 (-.f64 (log.f64 13/2) 1/13) (sqrt.f64 2/13)) (exp.f64 13/2)) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (*.f64 (exp.f64 13/2) 1) (sqrt.f64 2/13)) 1/9) (pow.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))) 2)))))))))) (pow.f64 z 2)) (+.f64 (*.f64 (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (*.f64 1 (pow.f64 (sqrt.f64 2/13) 4)) (pow.f64 (exp.f64 13/2) 4)) 1/9) (-.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 2/3 (*.f64 (pow.f64 (/.f64 (*.f64 1 (pow.f64 (sqrt.f64 2/13) 4)) (pow.f64 (exp.f64 13/2) 4)) 1/9) (-.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)) (pow.f64 1 1/3)))) |
(fma.f64 (fma.f64 2/9 (*.f64 (*.f64 (pow.f64 (/.f64 (exp.f64 13/2) (sqrt.f64 2/13)) 1/18) (pow.f64 (/.f64 (exp.f64 13/2) (sqrt.f64 2/13)) 1/18)) (pow.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))) 2)) (fma.f64 (cbrt.f64 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) (fma.f64 2/3 (*.f64 (cbrt.f64 (/.f64 (exp.f64 13/2) (sqrt.f64 2/13))) (+.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 (+.f64 (log.f64 13/2) -1/13) (/.f64 (exp.f64 13/2) (sqrt.f64 2/13))) (*.f64 1/3 (*.f64 (*.f64 (pow.f64 (/.f64 (exp.f64 13/2) (sqrt.f64 2/13)) 1/18) (pow.f64 (/.f64 (exp.f64 13/2) (sqrt.f64 2/13)) 1/18)) (pow.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))) 2)))))))) (*.f64 1/9 (*.f64 (pow.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))) 2) (*.f64 (pow.f64 (/.f64 (pow.f64 (exp.f64 13/2) 4) (pow.f64 (sqrt.f64 2/13) 4)) 1/18) (pow.f64 (/.f64 (pow.f64 (exp.f64 13/2) 4) (pow.f64 (sqrt.f64 2/13) 4)) 1/18))))) (*.f64 1/3 (+.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 (+.f64 (log.f64 13/2) -1/13) (/.f64 (exp.f64 13/2) (sqrt.f64 2/13))) (*.f64 1/3 (*.f64 (*.f64 (pow.f64 (/.f64 (exp.f64 13/2) (sqrt.f64 2/13)) 1/18) (pow.f64 (/.f64 (exp.f64 13/2) (sqrt.f64 2/13)) 1/18)) (pow.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))) 2)))))))))) (*.f64 z z) (fma.f64 (*.f64 (*.f64 (*.f64 (pow.f64 (/.f64 (pow.f64 (sqrt.f64 2/13) 4) (pow.f64 (exp.f64 13/2) 4)) 1/18) (pow.f64 (/.f64 (pow.f64 (sqrt.f64 2/13) 4) (pow.f64 (exp.f64 13/2) 4)) 1/18)) (-.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)))) 1) z (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)))) |
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(/.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)) (exp.f64 (-.f64 z -13/2))) |
(*.f64 (/.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)))) (pow.f64 1 1/3)) |
(*.f64 1 (/.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 z -13/2))) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 1.0b | (sqrt.f64 (*.f64 (PI.f64) 2)) | |
| ✓ | 1.1b | (exp.f64 (-.f64 13/2 (*.f64 -1 z))) |
| ✓ | 1.7b | (/.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)))) |
| ✓ | 2.8b | (exp.f64 (*.f64 -1 (*.f64 (log.f64 (-.f64 13/2 (*.f64 -1 z))) (+.f64 (*.f64 -1 z) 1/2)))) |
Compiled 524 to 435 computations (17% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | z | @ | 0 | (/.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)))) |
| 1.0ms | z | @ | 0 | (exp.f64 (*.f64 -1 (*.f64 (log.f64 (-.f64 13/2 (*.f64 -1 z))) (+.f64 (*.f64 -1 z) 1/2)))) |
| 1.0ms | z | @ | inf | (/.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)))) |
| 1.0ms | z | @ | -inf | (/.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)))) |
| 0.0ms | z | @ | inf | (exp.f64 (*.f64 -1 (*.f64 (log.f64 (-.f64 13/2 (*.f64 -1 z))) (+.f64 (*.f64 -1 z) 1/2)))) |
| 1× | batch-egg-rewrite |
| 644× | log-prod_binary64 |
| 512× | fma-def_binary64 |
| 335× | pow2_binary64 |
| 255× | fma-neg_binary64 |
| 235× | pow1/3_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 46 |
| 1 | 309 | 34 |
| 2 | 4278 | 34 |
| 1× | node limit |
| Inputs |
|---|
(exp.f64 (*.f64 -1 (*.f64 (log.f64 (-.f64 13/2 (*.f64 -1 z))) (+.f64 (*.f64 -1 z) 1/2)))) |
(/.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 (-.f64 13/2 (*.f64 -1 z))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (+.f64 13/2 z) (+.f64 z 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z 1/2)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z 1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z 1/2))))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z 1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z 1/2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z 1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (+.f64 13/2 z) (+.f64 z 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z 1/2))) (pow.f64 (cbrt.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z 1/2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z 1/2))) 2) (cbrt.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z 1/2))) (sqrt.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 (*.f64 z (log.f64 (+.f64 13/2 z)))) (sqrt.f64 (+.f64 13/2 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (exp.f64 -1) (*.f64 z (log.f64 (+.f64 13/2 z)))) (pow.f64 (exp.f64 -1) (log.f64 (sqrt.f64 (+.f64 13/2 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (pow.f64 (+.f64 13/2 z) (+.f64 z 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 13/2 z) (+.f64 z 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z 1/2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z 1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 -1) (*.f64 (log.f64 (+.f64 13/2 z)) (+.f64 z 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (+.f64 z 1/2)) (log.f64 (+.f64 13/2 z)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z 1/2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z 1/2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z 1/2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (*.f64 (log.f64 (+.f64 13/2 z)) (+.f64 z 1/2)))) (sqrt.f64 (*.f64 (log.f64 (+.f64 13/2 z)) (+.f64 z 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (neg.f64 (log.f64 (+.f64 13/2 z)))) (+.f64 z 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (*.f64 (log.f64 (+.f64 13/2 z)) (+.f64 z 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 (log.f64 (+.f64 13/2 z)) (+.f64 z 1/2))) 2)) (cbrt.f64 (*.f64 (log.f64 (+.f64 13/2 z)) (+.f64 z 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 -1) (log.f64 (+.f64 13/2 z))) (+.f64 z 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 -1) (+.f64 z 1/2)) (log.f64 (+.f64 13/2 z)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 -1) (pow.f64 (cbrt.f64 (*.f64 (log.f64 (+.f64 13/2 z)) (+.f64 z 1/2))) 2)) (cbrt.f64 (*.f64 (log.f64 (+.f64 13/2 z)) (+.f64 z 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 -1) (sqrt.f64 (*.f64 (log.f64 (+.f64 13/2 z)) (+.f64 z 1/2)))) (sqrt.f64 (*.f64 (log.f64 (+.f64 13/2 z)) (+.f64 z 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z 1/2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z 1/2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z 1/2)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z 1/2)) (exp.f64 (+.f64 13/2 z))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z 1/2)) (exp.f64 (+.f64 13/2 z))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z 1/2)) (exp.f64 (+.f64 13/2 z)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z 1/2)) (exp.f64 (+.f64 13/2 z)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z 1/2)) (exp.f64 (+.f64 13/2 z)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z 1/2)) (exp.f64 (+.f64 13/2 z))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z 1/2)) (exp.f64 (neg.f64 (+.f64 13/2 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (+.f64 13/2 z) 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(exp.f64 (+.f64 13/2 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z 1/2)) (exp.f64 13/2)) (exp.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z 1/2)) (exp.f64 (+.f64 13/2 z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z 1/2)) (exp.f64 (+.f64 13/2 z))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z 1/2)) (exp.f64 (+.f64 13/2 z)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z 1/2)) (exp.f64 (+.f64 13/2 z)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (exp.f64 (+.f64 13/2 z)) (pow.f64 (+.f64 13/2 z) (+.f64 z 1/2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z 1/2)) 3) (pow.f64 (exp.f64 (+.f64 13/2 z)) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 (exp.f64 (+.f64 13/2 z)) (pow.f64 (+.f64 13/2 z) (+.f64 z 1/2))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z 1/2)) (neg.f64 (exp.f64 (+.f64 13/2 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z 1/2)) (exp.f64 (+.f64 13/2 z))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z 1/2)) (exp.f64 (+.f64 13/2 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z 1/2)) (exp.f64 (+.f64 13/2 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z 1/2)) (exp.f64 (+.f64 13/2 z))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z 1/2)) 3) (pow.f64 (exp.f64 (+.f64 13/2 z)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z 1/2)) (exp.f64 (+.f64 13/2 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z 1/2)) (exp.f64 (+.f64 13/2 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (fma.f64 (log.f64 (+.f64 13/2 z)) (+.f64 z 1/2) -13/2) z))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (+.f64 (fma.f64 (log.f64 (+.f64 13/2 z)) (+.f64 z 1/2) -13/2) z) 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (exp.f64 (+.f64 13/2 z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (exp.f64 (+.f64 13/2 z)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (exp.f64 (+.f64 13/2 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (exp.f64 (+.f64 13/2 z))))) (log.f64 (sqrt.f64 (exp.f64 (exp.f64 (+.f64 13/2 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (exp.f64 (+.f64 13/2 z)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 (+.f64 13/2 z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (exp.f64 (+.f64 13/2 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 13/2) (exp.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (exp.f64 (+.f64 13/2 z))) (cbrt.f64 (exp.f64 (*.f64 2 (+.f64 13/2 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (exp.f64 (*.f64 2 (+.f64 13/2 z)))) (cbrt.f64 (exp.f64 (+.f64 13/2 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (exp.f64 (+.f64 13/2 z))) (sqrt.f64 (exp.f64 (+.f64 13/2 z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.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 (neg.f64 (exp.f64 13/2)) (neg.f64 (exp.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (+.f64 13/2 z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (+.f64 13/2 z)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (exp.f64 (+.f64 13/2 z))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (exp.f64 (+.f64 13/2 z))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (+.f64 13/2 z)) 2)) (cbrt.f64 (+.f64 13/2 z)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (+.f64 13/2 z))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (+.f64 13/2 z))) (sqrt.f64 (+.f64 13/2 z)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (exp.f64 z) (exp.f64 13/2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (exp.f64 (*.f64 2 (+.f64 13/2 z))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (exp.f64 (+.f64 13/2 z))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (exp.f64 (+.f64 13/2 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (exp.f64 (+.f64 13/2 z)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (exp.f64 (+.f64 13/2 z))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (exp.f64 (+.f64 13/2 z)))))))) |
| 1× | egg-herbie |
| 505× | cancel-sign-sub-inv_binary64 |
| 505× | fma-neg_binary64 |
| 457× | fma-def_binary64 |
| 329× | sub-neg_binary64 |
| 301× | distribute-rgt-out_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 88 | 843 |
| 1 | 263 | 794 |
| 2 | 892 | 728 |
| 3 | 4466 | 625 |
| 1× | node limit |
| Inputs |
|---|
(sqrt.f64 2/13) |
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (log.f64 13/2)) 1/13) (*.f64 z (sqrt.f64 2/13)))) (sqrt.f64 2/13)) |
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (log.f64 13/2)) 1/13) (*.f64 z (sqrt.f64 2/13)))) (+.f64 (sqrt.f64 2/13) (*.f64 (+.f64 27/169 (*.f64 1/2 (pow.f64 (+.f64 (*.f64 -1 (log.f64 13/2)) 1/13) 2))) (*.f64 (pow.f64 z 2) (sqrt.f64 2/13))))) |
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (log.f64 13/2)) 1/13) (*.f64 z (sqrt.f64 2/13)))) (+.f64 (*.f64 (-.f64 (+.f64 (*.f64 -27/169 (+.f64 (*.f64 -1 (log.f64 13/2)) 1/13)) (*.f64 -1/6 (pow.f64 (+.f64 (*.f64 -1 (log.f64 13/2)) 1/13) 3))) 82/6591) (*.f64 (pow.f64 z 3) (sqrt.f64 2/13))) (+.f64 (sqrt.f64 2/13) (*.f64 (+.f64 27/169 (*.f64 1/2 (pow.f64 (+.f64 (*.f64 -1 (log.f64 13/2)) 1/13) 2))) (*.f64 (pow.f64 z 2) (sqrt.f64 2/13)))))) |
(exp.f64 (*.f64 -1 (*.f64 (log.f64 (+.f64 13/2 z)) (-.f64 1/2 z)))) |
(exp.f64 (*.f64 -1 (*.f64 (log.f64 (+.f64 13/2 z)) (-.f64 1/2 z)))) |
(exp.f64 (*.f64 -1 (*.f64 (log.f64 (+.f64 13/2 z)) (-.f64 1/2 z)))) |
(exp.f64 (*.f64 -1 (*.f64 (log.f64 (+.f64 13/2 z)) (-.f64 1/2 z)))) |
(/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) |
(+.f64 (*.f64 (-.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 -1 (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 (sqrt.f64 2/13) (exp.f64 13/2))) |
(+.f64 (*.f64 (-.f64 (+.f64 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) (/.f64 (*.f64 (+.f64 27/169 (*.f64 1/2 (pow.f64 (+.f64 (*.f64 -1 (log.f64 13/2)) 1/13) 2))) (sqrt.f64 2/13)) (exp.f64 13/2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 13/2)) 1/13) (sqrt.f64 2/13)) (exp.f64 13/2))) (*.f64 1/2 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))))) (pow.f64 z 2)) (+.f64 (*.f64 (-.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 -1 (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 (sqrt.f64 2/13) (exp.f64 13/2)))) |
(+.f64 (*.f64 (-.f64 (+.f64 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) (/.f64 (*.f64 (+.f64 27/169 (*.f64 1/2 (pow.f64 (+.f64 (*.f64 -1 (log.f64 13/2)) 1/13) 2))) (sqrt.f64 2/13)) (exp.f64 13/2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 13/2)) 1/13) (sqrt.f64 2/13)) (exp.f64 13/2))) (*.f64 1/2 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))))) (pow.f64 z 2)) (+.f64 (*.f64 (-.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 -1 (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 (/.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 13/2)) 1/13) (sqrt.f64 2/13)) (exp.f64 13/2))) (+.f64 (*.f64 1/2 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) (/.f64 (*.f64 (-.f64 (+.f64 (*.f64 -27/169 (+.f64 (*.f64 -1 (log.f64 13/2)) 1/13)) (*.f64 -1/6 (pow.f64 (+.f64 (*.f64 -1 (log.f64 13/2)) 1/13) 3))) 82/6591) (sqrt.f64 2/13)) (exp.f64 13/2)))) (+.f64 (*.f64 1/6 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) (+.f64 (/.f64 (*.f64 (+.f64 27/169 (*.f64 1/2 (pow.f64 (+.f64 (*.f64 -1 (log.f64 13/2)) 1/13) 2))) (sqrt.f64 2/13)) (exp.f64 13/2)) (+.f64 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) (*.f64 1/2 (-.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 13/2)) 1/13) (sqrt.f64 2/13)) (exp.f64 13/2))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)))))))) (pow.f64 z 3)) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))))) |
(/.f64 (exp.f64 (*.f64 -1 (*.f64 (log.f64 (+.f64 13/2 z)) (-.f64 1/2 z)))) (exp.f64 (+.f64 13/2 z))) |
(/.f64 (exp.f64 (*.f64 -1 (*.f64 (log.f64 (+.f64 13/2 z)) (-.f64 1/2 z)))) (exp.f64 (+.f64 13/2 z))) |
(/.f64 (exp.f64 (*.f64 -1 (*.f64 (log.f64 (+.f64 13/2 z)) (-.f64 1/2 z)))) (exp.f64 (+.f64 13/2 z))) |
(/.f64 (exp.f64 (*.f64 -1 (*.f64 (log.f64 (+.f64 13/2 z)) (-.f64 1/2 z)))) (exp.f64 (+.f64 13/2 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)) |
| Outputs |
|---|
(sqrt.f64 2/13) |
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (log.f64 13/2)) 1/13) (*.f64 z (sqrt.f64 2/13)))) (sqrt.f64 2/13)) |
(fma.f64 -1 (*.f64 (fma.f64 -1 (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 1/13 (log.f64 13/2)) z))) |
(fma.f64 (-.f64 1/13 (log.f64 13/2)) (*.f64 (sqrt.f64 2/13) (neg.f64 z)) (sqrt.f64 2/13)) |
(fma.f64 (*.f64 (sqrt.f64 2/13) z) (+.f64 (log.f64 13/2) -1/13) (sqrt.f64 2/13)) |
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (log.f64 13/2)) 1/13) (*.f64 z (sqrt.f64 2/13)))) (+.f64 (sqrt.f64 2/13) (*.f64 (+.f64 27/169 (*.f64 1/2 (pow.f64 (+.f64 (*.f64 -1 (log.f64 13/2)) 1/13) 2))) (*.f64 (pow.f64 z 2) (sqrt.f64 2/13))))) |
(+.f64 (fma.f64 -1 (*.f64 (fma.f64 -1 (log.f64 13/2) 1/13) (*.f64 (sqrt.f64 2/13) z)) (sqrt.f64 2/13)) (*.f64 (+.f64 27/169 (*.f64 1/2 (pow.f64 (fma.f64 -1 (log.f64 13/2) 1/13) 2))) (*.f64 (sqrt.f64 2/13) (*.f64 z z)))) |
(-.f64 (fma.f64 (fma.f64 1/2 (pow.f64 (-.f64 1/13 (log.f64 13/2)) 2) 27/169) (*.f64 (sqrt.f64 2/13) (*.f64 z z)) (sqrt.f64 2/13)) (*.f64 (sqrt.f64 2/13) (*.f64 (-.f64 1/13 (log.f64 13/2)) z))) |
(*.f64 (sqrt.f64 2/13) (-.f64 (fma.f64 (fma.f64 1/2 (pow.f64 (-.f64 1/13 (log.f64 13/2)) 2) 27/169) (*.f64 z z) 1) (*.f64 (-.f64 1/13 (log.f64 13/2)) z))) |
(*.f64 (sqrt.f64 2/13) (+.f64 (*.f64 z (+.f64 (log.f64 13/2) -1/13)) (fma.f64 (fma.f64 1/2 (pow.f64 (-.f64 1/13 (log.f64 13/2)) 2) 27/169) (*.f64 z z) 1))) |
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (log.f64 13/2)) 1/13) (*.f64 z (sqrt.f64 2/13)))) (+.f64 (*.f64 (-.f64 (+.f64 (*.f64 -27/169 (+.f64 (*.f64 -1 (log.f64 13/2)) 1/13)) (*.f64 -1/6 (pow.f64 (+.f64 (*.f64 -1 (log.f64 13/2)) 1/13) 3))) 82/6591) (*.f64 (pow.f64 z 3) (sqrt.f64 2/13))) (+.f64 (sqrt.f64 2/13) (*.f64 (+.f64 27/169 (*.f64 1/2 (pow.f64 (+.f64 (*.f64 -1 (log.f64 13/2)) 1/13) 2))) (*.f64 (pow.f64 z 2) (sqrt.f64 2/13)))))) |
(fma.f64 -1 (*.f64 (fma.f64 -1 (log.f64 13/2) 1/13) (*.f64 (sqrt.f64 2/13) z)) (fma.f64 (+.f64 (fma.f64 -27/169 (fma.f64 -1 (log.f64 13/2) 1/13) (*.f64 -1/6 (pow.f64 (fma.f64 -1 (log.f64 13/2) 1/13) 3))) -82/6591) (*.f64 (sqrt.f64 2/13) (pow.f64 z 3)) (+.f64 (sqrt.f64 2/13) (*.f64 (+.f64 27/169 (*.f64 1/2 (pow.f64 (fma.f64 -1 (log.f64 13/2) 1/13) 2))) (*.f64 (sqrt.f64 2/13) (*.f64 z z)))))) |
(-.f64 (fma.f64 (fma.f64 (-.f64 1/13 (log.f64 13/2)) -27/169 (fma.f64 -1/6 (pow.f64 (-.f64 1/13 (log.f64 13/2)) 3) -82/6591)) (*.f64 (sqrt.f64 2/13) (pow.f64 z 3)) (fma.f64 (fma.f64 1/2 (pow.f64 (-.f64 1/13 (log.f64 13/2)) 2) 27/169) (*.f64 (sqrt.f64 2/13) (*.f64 z z)) (sqrt.f64 2/13))) (*.f64 (sqrt.f64 2/13) (*.f64 (-.f64 1/13 (log.f64 13/2)) z))) |
(fma.f64 (sqrt.f64 2/13) (*.f64 (fma.f64 -1/6 (pow.f64 (-.f64 1/13 (log.f64 13/2)) 3) (+.f64 (*.f64 (log.f64 13/2) 27/169) -163/6591)) (pow.f64 z 3)) (*.f64 (sqrt.f64 2/13) (-.f64 (fma.f64 (fma.f64 1/2 (pow.f64 (-.f64 1/13 (log.f64 13/2)) 2) 27/169) (*.f64 z z) 1) (*.f64 (-.f64 1/13 (log.f64 13/2)) z)))) |
(*.f64 (sqrt.f64 2/13) (+.f64 (fma.f64 (fma.f64 -1/6 (pow.f64 (-.f64 1/13 (log.f64 13/2)) 3) (+.f64 (*.f64 (log.f64 13/2) 27/169) -163/6591)) (pow.f64 z 3) 1) (*.f64 z (+.f64 (*.f64 z (fma.f64 1/2 (pow.f64 (-.f64 1/13 (log.f64 13/2)) 2) 27/169)) (+.f64 (log.f64 13/2) -1/13))))) |
(exp.f64 (*.f64 -1 (*.f64 (log.f64 (+.f64 13/2 z)) (-.f64 1/2 z)))) |
(exp.f64 (neg.f64 (*.f64 (log.f64 (+.f64 13/2 z)) (-.f64 1/2 z)))) |
(exp.f64 (*.f64 (log.f64 (+.f64 13/2 z)) (neg.f64 (-.f64 1/2 z)))) |
(pow.f64 (+.f64 13/2 z) (neg.f64 (-.f64 1/2 z))) |
(pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)) |
(exp.f64 (*.f64 -1 (*.f64 (log.f64 (+.f64 13/2 z)) (-.f64 1/2 z)))) |
(exp.f64 (neg.f64 (*.f64 (log.f64 (+.f64 13/2 z)) (-.f64 1/2 z)))) |
(exp.f64 (*.f64 (log.f64 (+.f64 13/2 z)) (neg.f64 (-.f64 1/2 z)))) |
(pow.f64 (+.f64 13/2 z) (neg.f64 (-.f64 1/2 z))) |
(pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)) |
(exp.f64 (*.f64 -1 (*.f64 (log.f64 (+.f64 13/2 z)) (-.f64 1/2 z)))) |
(exp.f64 (neg.f64 (*.f64 (log.f64 (+.f64 13/2 z)) (-.f64 1/2 z)))) |
(exp.f64 (*.f64 (log.f64 (+.f64 13/2 z)) (neg.f64 (-.f64 1/2 z)))) |
(pow.f64 (+.f64 13/2 z) (neg.f64 (-.f64 1/2 z))) |
(pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)) |
(exp.f64 (*.f64 -1 (*.f64 (log.f64 (+.f64 13/2 z)) (-.f64 1/2 z)))) |
(exp.f64 (neg.f64 (*.f64 (log.f64 (+.f64 13/2 z)) (-.f64 1/2 z)))) |
(exp.f64 (*.f64 (log.f64 (+.f64 13/2 z)) (neg.f64 (-.f64 1/2 z)))) |
(pow.f64 (+.f64 13/2 z) (neg.f64 (-.f64 1/2 z))) |
(pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)) |
(/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) |
(+.f64 (*.f64 (-.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 -1 (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 (sqrt.f64 2/13) (exp.f64 13/2))) |
(fma.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 -1 (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 (sqrt.f64 2/13) (exp.f64 13/2))) |
(fma.f64 z (-.f64 (/.f64 (neg.f64 (*.f64 (sqrt.f64 2/13) (-.f64 1/13 (log.f64 13/2)))) (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 (neg.f64 (fma.f64 (/.f64 (-.f64 1/13 (log.f64 13/2)) (exp.f64 13/2)) (sqrt.f64 2/13) (/.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) (exp.f64 13/2)) (-.f64 -1 (-.f64 1/13 (log.f64 13/2)))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) |
(+.f64 (*.f64 (-.f64 (+.f64 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) (/.f64 (*.f64 (+.f64 27/169 (*.f64 1/2 (pow.f64 (+.f64 (*.f64 -1 (log.f64 13/2)) 1/13) 2))) (sqrt.f64 2/13)) (exp.f64 13/2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 13/2)) 1/13) (sqrt.f64 2/13)) (exp.f64 13/2))) (*.f64 1/2 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))))) (pow.f64 z 2)) (+.f64 (*.f64 (-.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 -1 (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 (sqrt.f64 2/13) (exp.f64 13/2)))) |
(fma.f64 (+.f64 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) (-.f64 (/.f64 (+.f64 27/169 (*.f64 1/2 (pow.f64 (fma.f64 -1 (log.f64 13/2) 1/13) 2))) (/.f64 (exp.f64 13/2) (sqrt.f64 2/13))) (fma.f64 -1 (/.f64 (fma.f64 -1 (log.f64 13/2) 1/13) (/.f64 (exp.f64 13/2) (sqrt.f64 2/13))) (*.f64 1/2 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)))))) (*.f64 z z) (fma.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 -1 (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 (sqrt.f64 2/13) (exp.f64 13/2)))) |
(fma.f64 (*.f64 z z) (+.f64 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) (-.f64 (/.f64 (fma.f64 1/2 (pow.f64 (-.f64 1/13 (log.f64 13/2)) 2) 27/169) (/.f64 (exp.f64 13/2) (sqrt.f64 2/13))) (-.f64 (/.f64 (*.f64 (sqrt.f64 2/13) 1/2) (exp.f64 13/2)) (*.f64 (/.f64 (-.f64 1/13 (log.f64 13/2)) (exp.f64 13/2)) (sqrt.f64 2/13))))) (fma.f64 z (-.f64 (/.f64 (neg.f64 (*.f64 (sqrt.f64 2/13) (-.f64 1/13 (log.f64 13/2)))) (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 (neg.f64 (fma.f64 (/.f64 (-.f64 1/13 (log.f64 13/2)) (exp.f64 13/2)) (sqrt.f64 2/13) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)))) (fma.f64 (*.f64 z z) (+.f64 (fma.f64 (/.f64 (fma.f64 1/2 (pow.f64 (-.f64 1/13 (log.f64 13/2)) 2) 27/169) (exp.f64 13/2)) (sqrt.f64 2/13) (fma.f64 (/.f64 (-.f64 1/13 (log.f64 13/2)) (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)) -1/2)) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)))) |
(fma.f64 z (*.f64 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) (-.f64 -1 (-.f64 1/13 (log.f64 13/2)))) (fma.f64 (*.f64 z z) (+.f64 (*.f64 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) (-.f64 (fma.f64 1/2 (pow.f64 (-.f64 1/13 (log.f64 13/2)) 2) 27/169) 1/2)) (*.f64 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) (-.f64 (-.f64 1/13 (log.f64 13/2)) -1))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)))) |
(+.f64 (*.f64 (-.f64 (+.f64 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) (/.f64 (*.f64 (+.f64 27/169 (*.f64 1/2 (pow.f64 (+.f64 (*.f64 -1 (log.f64 13/2)) 1/13) 2))) (sqrt.f64 2/13)) (exp.f64 13/2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 13/2)) 1/13) (sqrt.f64 2/13)) (exp.f64 13/2))) (*.f64 1/2 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))))) (pow.f64 z 2)) (+.f64 (*.f64 (-.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 -1 (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 (/.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 13/2)) 1/13) (sqrt.f64 2/13)) (exp.f64 13/2))) (+.f64 (*.f64 1/2 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) (/.f64 (*.f64 (-.f64 (+.f64 (*.f64 -27/169 (+.f64 (*.f64 -1 (log.f64 13/2)) 1/13)) (*.f64 -1/6 (pow.f64 (+.f64 (*.f64 -1 (log.f64 13/2)) 1/13) 3))) 82/6591) (sqrt.f64 2/13)) (exp.f64 13/2)))) (+.f64 (*.f64 1/6 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) (+.f64 (/.f64 (*.f64 (+.f64 27/169 (*.f64 1/2 (pow.f64 (+.f64 (*.f64 -1 (log.f64 13/2)) 1/13) 2))) (sqrt.f64 2/13)) (exp.f64 13/2)) (+.f64 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) (*.f64 1/2 (-.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 13/2)) 1/13) (sqrt.f64 2/13)) (exp.f64 13/2))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)))))))) (pow.f64 z 3)) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))))) |
(fma.f64 (+.f64 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) (-.f64 (/.f64 (+.f64 27/169 (*.f64 1/2 (pow.f64 (fma.f64 -1 (log.f64 13/2) 1/13) 2))) (/.f64 (exp.f64 13/2) (sqrt.f64 2/13))) (fma.f64 -1 (/.f64 (fma.f64 -1 (log.f64 13/2) 1/13) (/.f64 (exp.f64 13/2) (sqrt.f64 2/13))) (*.f64 1/2 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)))))) (*.f64 z z) (fma.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 -1 (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 (fma.f64 -1 (/.f64 (fma.f64 -1 (log.f64 13/2) 1/13) (/.f64 (exp.f64 13/2) (sqrt.f64 2/13))) (fma.f64 1/2 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) (/.f64 (+.f64 (fma.f64 -27/169 (fma.f64 -1 (log.f64 13/2) 1/13) (*.f64 -1/6 (pow.f64 (fma.f64 -1 (log.f64 13/2) 1/13) 3))) -82/6591) (/.f64 (exp.f64 13/2) (sqrt.f64 2/13))))) (fma.f64 1/6 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) (+.f64 (+.f64 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) (/.f64 (+.f64 27/169 (*.f64 1/2 (pow.f64 (fma.f64 -1 (log.f64 13/2) 1/13) 2))) (/.f64 (exp.f64 13/2) (sqrt.f64 2/13)))) (*.f64 1/2 (-.f64 (neg.f64 (/.f64 (fma.f64 -1 (log.f64 13/2) 1/13) (/.f64 (exp.f64 13/2) (sqrt.f64 2/13)))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))))))) (pow.f64 z 3) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))))) |
(fma.f64 (*.f64 z z) (+.f64 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) (-.f64 (/.f64 (fma.f64 1/2 (pow.f64 (-.f64 1/13 (log.f64 13/2)) 2) 27/169) (/.f64 (exp.f64 13/2) (sqrt.f64 2/13))) (-.f64 (/.f64 (*.f64 (sqrt.f64 2/13) 1/2) (exp.f64 13/2)) (*.f64 (/.f64 (-.f64 1/13 (log.f64 13/2)) (exp.f64 13/2)) (sqrt.f64 2/13))))) (fma.f64 z (-.f64 (/.f64 (neg.f64 (*.f64 (sqrt.f64 2/13) (-.f64 1/13 (log.f64 13/2)))) (exp.f64 13/2)) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) (fma.f64 (pow.f64 z 3) (-.f64 (-.f64 (fma.f64 1/2 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) (/.f64 (fma.f64 (-.f64 1/13 (log.f64 13/2)) -27/169 (fma.f64 -1/6 (pow.f64 (-.f64 1/13 (log.f64 13/2)) 3) -82/6591)) (/.f64 (exp.f64 13/2) (sqrt.f64 2/13)))) (*.f64 (/.f64 (-.f64 1/13 (log.f64 13/2)) (exp.f64 13/2)) (sqrt.f64 2/13))) (fma.f64 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) 1/6 (+.f64 (/.f64 (fma.f64 1/2 (pow.f64 (-.f64 1/13 (log.f64 13/2)) 2) 27/169) (/.f64 (exp.f64 13/2) (sqrt.f64 2/13))) (fma.f64 1/2 (-.f64 (/.f64 (neg.f64 (*.f64 (sqrt.f64 2/13) (-.f64 1/13 (log.f64 13/2)))) (exp.f64 13/2)) (/.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))))) |
(fma.f64 z (neg.f64 (fma.f64 (/.f64 (-.f64 1/13 (log.f64 13/2)) (exp.f64 13/2)) (sqrt.f64 2/13) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)))) (fma.f64 z (*.f64 z (+.f64 (fma.f64 (/.f64 (fma.f64 1/2 (pow.f64 (-.f64 1/13 (log.f64 13/2)) 2) 27/169) (exp.f64 13/2)) (sqrt.f64 2/13) (fma.f64 (/.f64 (-.f64 1/13 (log.f64 13/2)) (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)) -1/2))) (fma.f64 (pow.f64 z 3) (+.f64 (-.f64 (-.f64 (fma.f64 1/2 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) (*.f64 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) (fma.f64 -1/6 (pow.f64 (-.f64 1/13 (log.f64 13/2)) 3) (+.f64 (*.f64 (log.f64 13/2) 27/169) -163/6591)))) (*.f64 (sqrt.f64 2/13) (/.f64 (-.f64 1/13 (log.f64 13/2)) (exp.f64 13/2)))) (fma.f64 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) 1/6 (fma.f64 (/.f64 (fma.f64 1/2 (pow.f64 (-.f64 1/13 (log.f64 13/2)) 2) 27/169) (exp.f64 13/2)) (sqrt.f64 2/13) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))))) (*.f64 (fma.f64 (/.f64 (-.f64 1/13 (log.f64 13/2)) (exp.f64 13/2)) (sqrt.f64 2/13) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) 1/2)) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))))) |
(fma.f64 z (*.f64 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) (-.f64 -1 (-.f64 1/13 (log.f64 13/2)))) (fma.f64 (*.f64 z z) (+.f64 (*.f64 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) (-.f64 (fma.f64 1/2 (pow.f64 (-.f64 1/13 (log.f64 13/2)) 2) 27/169) 1/2)) (*.f64 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) (-.f64 (-.f64 1/13 (log.f64 13/2)) -1))) (fma.f64 (pow.f64 z 3) (+.f64 (*.f64 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) (-.f64 (fma.f64 -1/6 (pow.f64 (-.f64 1/13 (log.f64 13/2)) 3) (+.f64 (*.f64 (log.f64 13/2) 27/169) -163/6591)) (-.f64 1/13 (log.f64 13/2)))) (-.f64 (*.f64 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) (-.f64 1/2 (fma.f64 1/2 (pow.f64 (-.f64 1/13 (log.f64 13/2)) 2) 27/169))) (+.f64 (*.f64 1/2 (*.f64 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) (-.f64 -1 (-.f64 1/13 (log.f64 13/2))))) (*.f64 7/6 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))))) |
(/.f64 (exp.f64 (*.f64 -1 (*.f64 (log.f64 (+.f64 13/2 z)) (-.f64 1/2 z)))) (exp.f64 (+.f64 13/2 z))) |
(exp.f64 (-.f64 (neg.f64 (*.f64 (log.f64 (+.f64 13/2 z)) (-.f64 1/2 z))) (+.f64 13/2 z))) |
(exp.f64 (-.f64 (*.f64 (log.f64 (+.f64 13/2 z)) (neg.f64 (-.f64 1/2 z))) (+.f64 13/2 z))) |
(/.f64 (pow.f64 (+.f64 13/2 z) (neg.f64 (-.f64 1/2 z))) (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 z)) (-.f64 1/2 z)))) (exp.f64 (+.f64 13/2 z))) |
(exp.f64 (-.f64 (neg.f64 (*.f64 (log.f64 (+.f64 13/2 z)) (-.f64 1/2 z))) (+.f64 13/2 z))) |
(exp.f64 (-.f64 (*.f64 (log.f64 (+.f64 13/2 z)) (neg.f64 (-.f64 1/2 z))) (+.f64 13/2 z))) |
(/.f64 (pow.f64 (+.f64 13/2 z) (neg.f64 (-.f64 1/2 z))) (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 z)) (-.f64 1/2 z)))) (exp.f64 (+.f64 13/2 z))) |
(exp.f64 (-.f64 (neg.f64 (*.f64 (log.f64 (+.f64 13/2 z)) (-.f64 1/2 z))) (+.f64 13/2 z))) |
(exp.f64 (-.f64 (*.f64 (log.f64 (+.f64 13/2 z)) (neg.f64 (-.f64 1/2 z))) (+.f64 13/2 z))) |
(/.f64 (pow.f64 (+.f64 13/2 z) (neg.f64 (-.f64 1/2 z))) (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 z)) (-.f64 1/2 z)))) (exp.f64 (+.f64 13/2 z))) |
(exp.f64 (-.f64 (neg.f64 (*.f64 (log.f64 (+.f64 13/2 z)) (-.f64 1/2 z))) (+.f64 13/2 z))) |
(exp.f64 (-.f64 (*.f64 (log.f64 (+.f64 13/2 z)) (neg.f64 (-.f64 1/2 z))) (+.f64 13/2 z))) |
(/.f64 (pow.f64 (+.f64 13/2 z) (neg.f64 (-.f64 1/2 z))) (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 (exp.f64 13/2) (*.f64 z (exp.f64 13/2))) |
(*.f64 (+.f64 z 1) (exp.f64 13/2)) |
(fma.f64 z (exp.f64 13/2) (exp.f64 13/2)) |
(+.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 (*.f64 z z) (exp.f64 13/2)) (+.f64 (exp.f64 13/2) (*.f64 z (exp.f64 13/2)))) |
(fma.f64 1/2 (*.f64 (*.f64 z z) (exp.f64 13/2)) (*.f64 (+.f64 z 1) (exp.f64 13/2))) |
(*.f64 (exp.f64 13/2) (+.f64 (+.f64 z 1) (*.f64 (*.f64 1/2 z) z))) |
(*.f64 (exp.f64 13/2) (+.f64 (+.f64 z 1) (*.f64 1/2 (*.f64 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 (*.f64 z z) (exp.f64 13/2)) (+.f64 (exp.f64 13/2) (fma.f64 1/6 (*.f64 (pow.f64 z 3) (exp.f64 13/2)) (*.f64 z (exp.f64 13/2))))) |
(+.f64 (fma.f64 z (exp.f64 13/2) (*.f64 (pow.f64 z 3) (*.f64 (exp.f64 13/2) 1/6))) (fma.f64 1/2 (*.f64 (*.f64 z z) (exp.f64 13/2)) (exp.f64 13/2))) |
(fma.f64 1/2 (*.f64 z (*.f64 z (exp.f64 13/2))) (*.f64 (exp.f64 13/2) (+.f64 (+.f64 z 1) (*.f64 (pow.f64 z 3) 1/6)))) |
(*.f64 (exp.f64 13/2) (+.f64 (*.f64 (pow.f64 z 3) 1/6) (+.f64 (*.f64 1/2 (*.f64 z z)) (+.f64 z 1)))) |
(exp.f64 (+.f64 13/2 z)) |
(exp.f64 (+.f64 13/2 z)) |
(exp.f64 (+.f64 13/2 z)) |
(exp.f64 (+.f64 13/2 z)) |
Compiled 66469 to 55783 computations (16.1% saved)
123 alts after pruning (118 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 786 | 41 | 827 |
| Fresh | 28 | 77 | 105 |
| Picked | 1 | 0 | 1 |
| Done | 1 | 5 | 6 |
| Total | 816 | 123 | 939 |
| Status | Error | Program |
|---|---|---|
| 3.7b | (*.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 (-.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)))) | |
| 3.6b | (*.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))) (/.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)))) | |
| 54.9b | (*.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))))) | |
| 5.1b | (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.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 (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)))))) | |
| 3.7b | (*.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 (/.f64 (exp.f64 13/2) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))) (exp.f64 z))))) | |
| 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))))) | |
| 3.5b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (+.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))))) | |
| 3.9b | (*.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))))) (pow.f64 (cbrt.f64 (exp.f64 (-.f64 (*.f64 (+.f64 z -1/2) (log.f64 (+.f64 z 13/2))) (+.f64 z 13/2)))) 3))) | |
| 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)) (*.f64 (exp.f64 z) (exp.f64 13/2))))) | |
| 5.0b | (*.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 (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)))))) | |
| 3.7b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.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))))) | |
| ▶ | 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)))) |
| 3.6b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (/.f64 1 (/.f64 (*.f64 (+.f64 z 1) (+.f64 z 2)) (fma.f64 -3147848041806007/2500000000000 (+.f64 z 2) (*.f64 (+.f64 z 1) 7713234287776531/10000000000000))))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -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 (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 (PI.f64)) (exp.f64 (-.f64 (-.f64 -13/2 z) (*.f64 (-.f64 1/2 z) (log.f64 (+.f64 z 13/2))))))) (+.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 -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))))) | |
| 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))))) | |
| 3.5b | (*.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 9999999999998099/10000000000000000 (/.f64 (+.f64 z (*.f64 (-.f64 (/.f64 z -3147848041806007/2500000000000) 2500000000000/3147848041806007) 6765203681218851/10000000000000)) (*.f64 (-.f64 (/.f64 z -3147848041806007/2500000000000) 2500000000000/3147848041806007) 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)))) | |
| 3.8b | (*.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)) (pow.f64 (sqrt.f64 (exp.f64 (+.f64 z 13/2))) 2))) 3))) | |
| 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 99999999999961980000000003613801/100000000000000000000000000000000 (-.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (*.f64 z z)) (/.f64 67652036812175649347802002964249/100000000000000000000000000000 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 67652036812175649347802002964249/100000000000000000000000000000 z))))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))) | |
| 3.5b | (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (neg.f64 (exp.f64 (-.f64 -13/2 z))) (/.f64 1 (neg.f64 (pow.f64 (+.f64 z 13/2) (-.f64 1/2 z))))))) (+.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 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.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))))) | |
| 13.4b | (*.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 (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))) | |
| 15.3b | (*.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))))) (cbrt.f64 (/.f64 (pow.f64 (+.f64 z 13/2) (*.f64 (+.f64 z -1/2) 3)) (pow.f64 (exp.f64 (+.f64 z 13/2)) 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 (/.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 (+.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)))))) | |
| 3.6b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (-.f64 (/.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) 2) (-.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))))) (/.f64 (pow.f64 (fma.f64 (/.f64 1 (+.f64 z 1)) -3147848041806007/2500000000000 (/.f64 7713234287776531/10000000000000 (+.f64 z 2))) 2) (-.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))))) | |
| 59.5b | (*.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)))) | |
| 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 (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))))) | |
| 3.4b | (*.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 9999999999998099/10000000000000000 (fma.f64 (/.f64 1 (+.f64 z 1)) -3147848041806007/2500000000000 (/.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 (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))))) |
| 5.1b | (*.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 (exp.f64 (*.f64 -1 (*.f64 (log.f64 (-.f64 13/2 (*.f64 -1 z))) (+.f64 (*.f64 -1 z) 1/2)))) (pow.f64 (cbrt.f64 (exp.f64 (+.f64 13/2 z))) 3)))) | |
| 3.7b | (*.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 6765203681218851/10000000000000 z) (+.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))))) | |
| 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))))))) | |
| 3.6b | (*.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 (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)))) | |
| 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 (-.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 (+.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)))))) | |
| 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))))) | |
| 36.8b | (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 (PI.f64)) (+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (exp.f64 (-.f64 -13/2 z)) (pow.f64 (+.f64 z 13/2) (-.f64 1/2 z)))))) (log.f64 (sqrt.f64 (exp.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 (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)) (*.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 (*.f64 (neg.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))) (exp.f64 (neg.f64 z))) (neg.f64 (exp.f64 13/2))))) | |
| 3.8b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (/.f64 (+.f64 (*.f64 (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (*.f64 z z))) (-.f64 (+.f64 (/.f64 9908947294301912793614221284049/6250000000000000000000000 (pow.f64 (+.f64 z 1) 2)) (/.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 (/.f64 -31191860336727207531769765603776766852501482343/15625000000000000000000000000000000000 (pow.f64 (+.f64 z 1) 3)) (/.f64 458891030965964263706993392018425544321343929291/1000000000000000000000000000000000000000 (pow.f64 (+.f64 z 2) 3))))) (*.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (-.f64 (+.f64 (/.f64 9908947294301912793614221284049/6250000000000000000000000 (pow.f64 (+.f64 z 1) 2)) (/.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))))) | |
| ✓ | 3.7b | (*.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))))) |
| 3.3b | (*.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 9999999999998099/10000000000000000 (/.f64 (+.f64 (+.f64 z 1) (*.f64 (*.f64 z 10000000000000/6765203681218851) -3147848041806007/2500000000000)) (*.f64 (*.f64 z 10000000000000/6765203681218851) (+.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 (*.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)) (*.f64 (exp.f64 z) (exp.f64 13/2))))) | |
| 3.8b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (-.f64 (/.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) 2) (-.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.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 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)) (expm1.f64 (log1p.f64 (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)))) | |
| 3.7b | (*.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)) (exp.f64 (+.f64 z 13/2))))) | |
| 3.5b | (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (pow.f64 (+.f64 z 13/2) (-.f64 1/2 z))) 2)) (/.f64 (exp.f64 (-.f64 -13/2 z)) (cbrt.f64 (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)))) | |
| 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 (/.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 (+.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))))) | |
| ▶ | 3.2b | (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (/.f64 (exp.f64 -13/2) (exp.f64 z)) (pow.f64 (-.f64 z -13/2) (-.f64 1/2 z))))) (+.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 (*.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 9999999999998099/10000000000000000 (pow.f64 (cbrt.f64 (+.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)))) | |
| 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)))))) | |
| 3.6b | (*.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)))) | |
| 4.3b | (*.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) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))) | |
| 3.4b | (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (cbrt.f64 (pow.f64 (PI.f64) 3/2)) (/.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 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 (+.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))) |
| 3.6b | (*.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 (-.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)))) | |
| 3.6b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (pow.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.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))))) | |
| 6.0b | (*.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)) (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (+.f64 z 13/2)) 2)) (cbrt.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)) (*.f64 (exp.f64 z) (exp.f64 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 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)))) | |
| 3.7b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (/.f64 (+.f64 (+.f64 z 1) (*.f64 (*.f64 (+.f64 z 2) 10000000000000/7713234287776531) -3147848041806007/2500000000000)) (*.f64 (*.f64 (+.f64 z 2) 10000000000000/7713234287776531) (+.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)) (*.f64 (exp.f64 z) (exp.f64 13/2))))) | |
| 13.4b | (*.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))) | |
| ▶ | 3.5b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (/.f64 (fma.f64 (+.f64 19999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) (+.f64 19999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) -1) (+.f64 (+.f64 19999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) 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 2) (*.f64 (sqrt.f64 (PI.f64)) (exp.f64 (-.f64 (-.f64 -13/2 z) (*.f64 (-.f64 1/2 z) (log.f64 (+.f64 z 13/2))))))) (+.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 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (*.f64 (+.f64 (-.f64 (/.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) 2) (-.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.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 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))))) | |
| 63.1b | (*.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)))) | |
| 4.9b | (*.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)) (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 (*.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)) (*.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 (+.f64 z 1) (*.f64 (*.f64 (+.f64 z 2) 10000000000000/7713234287776531) -3147848041806007/2500000000000)) (*.f64 (*.f64 (+.f64 z 2) 10000000000000/7713234287776531) (+.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 (/.f64 1 (exp.f64 z)) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 13/2))))) | |
| 6.0b | (*.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)) (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (+.f64 z 13/2)) 2)) (cbrt.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 (/.f64 1 (exp.f64 z)) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 13/2))))) | |
| 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 (+.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 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)))) | |
| 3.9b | (*.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))))) | |
| 52.9b | (*.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))))) | |
| 4.3b | (*.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 (pow.f64 (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))) 1/6) (*.f64 (pow.f64 (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))) 1/6) (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))) 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) (+.f64 z -1/2)) (exp.f64 -13/2)) (exp.f64 z)))) | |
| 3.5b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (/.f64 (-.f64 (pow.f64 (+.f64 19999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) 3) 1) (+.f64 (*.f64 (+.f64 19999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) (+.f64 19999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))))) (+.f64 1 (*.f64 (+.f64 19999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) 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))))) | |
| 3.5b | (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (exp.f64 (-.f64 -13/2 z))) (*.f64 (sqrt.f64 (exp.f64 (-.f64 -13/2 z))) (pow.f64 (+.f64 z 13/2) (neg.f64 (-.f64 1/2 z))))))) (+.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 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (/.f64 (+.f64 (*.f64 3147848041806007/2500000000000 (+.f64 z 2)) (*.f64 (+.f64 (neg.f64 z) -1) 7713234287776531/10000000000000)) (*.f64 (+.f64 (neg.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)) (*.f64 (exp.f64 z) (exp.f64 13/2))))) | |
| ✓ | 3.2b | (*.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 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)))) |
| 3.5b | (*.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 (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))))) | |
| 3.3b | (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) 3) (/.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 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 (-.f64 (/.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) 2) (-.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))))) (/.f64 (pow.f64 (/.f64 (+.f64 (+.f64 z 2) (*.f64 (*.f64 (+.f64 z 1) -2500000000000/3147848041806007) 7713234287776531/10000000000000)) (*.f64 (*.f64 (+.f64 z 1) -2500000000000/3147848041806007) (+.f64 z 2))) 2) (-.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 (*.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)))) | |
| 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 (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 z)) (exp.f64 13/3)) (exp.f64 13/6)))) | |
| 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)) (pow.f64 (cbrt.f64 (exp.f64 (+.f64 z 13/2))) 3)))) | |
| 3.7b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (-.f64 (/.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) 2) (-.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))))) (/.f64 (pow.f64 (/.f64 (+.f64 (+.f64 z 1) (*.f64 (*.f64 (+.f64 z 2) 10000000000000/7713234287776531) -3147848041806007/2500000000000)) (*.f64 (*.f64 (+.f64 z 2) 10000000000000/7713234287776531) (+.f64 z 1))) 2) (-.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))))) | |
| 59.7b | (*.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)))) | |
| 3.7b | (*.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) (+.f64 z -1/2)) (exp.f64 z)) (/.f64 1 (exp.f64 13/2))))) | |
| 3.5b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))) 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))))) | |
| 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 (/.f64 1 (exp.f64 z)) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 13/2))))) | |
| 3.5b | (*.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 9999999999998099/10000000000000000 (fma.f64 (sqrt.f64 (/.f64 6765203681218851/10000000000000 z)) (sqrt.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)))) | |
| 50.0b | (*.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 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (/.f64 (+.f64 (+.f64 z 2) (*.f64 (*.f64 (+.f64 z 1) -2500000000000/3147848041806007) 7713234287776531/10000000000000)) (*.f64 (*.f64 (+.f64 z 1) -2500000000000/3147848041806007) (+.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))))) | |
| 3.5b | (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 -13/2 z))) 3) (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)))) | |
| 4.3b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (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))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 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))))) | |
| 3.3b | (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 (pow.f64 (PI.f64) 1/4) 2) (/.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 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)))) | |
| 3.6b | (*.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)) (*.f64 (exp.f64 z) (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))))) (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))))) (exp.f64 (-.f64 (fma.f64 (+.f64 z -1/2) (log.f64 (+.f64 z 13/2)) -13/2) z)))) | |
| 3.7b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (/.f64 (/.f64 (fma.f64 -3147848041806007/2500000000000 (+.f64 z 2) (*.f64 (+.f64 z 1) 7713234287776531/10000000000000)) (+.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)) (*.f64 (exp.f64 z) (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))) (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)))) | |
| 3.9b | (*.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))))) (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 (*.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))))) | |
| 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 (pow.f64 (exp.f64 (+.f64 z 13/2)) 3) 1/3)))) | |
| 50.0b | (*.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 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (/.f64 (+.f64 (+.f64 z 2) (*.f64 (*.f64 (+.f64 z 1) -2500000000000/3147848041806007) 7713234287776531/10000000000000)) (*.f64 (*.f64 (+.f64 z 1) -2500000000000/3147848041806007) (+.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))))) | |
| 5.8b | (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 -13/2 z)) 2)) (cbrt.f64 (-.f64 -13/2 z))) (pow.f64 (-.f64 z -13/2) (-.f64 1/2 z))))) (+.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 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (/.f64 (+.f64 (*.f64 3147848041806007/2500000000000 (+.f64 z 2)) (*.f64 (+.f64 (neg.f64 z) -1) 7713234287776531/10000000000000)) (*.f64 (+.f64 (neg.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 (/.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 (-.f64 (/.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) 2) (-.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.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 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 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))))) |
| 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))))) | |
| 3.8b | (*.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 (/.f64 (pow.f64 (+.f64 z 13/2) z) (exp.f64 z)) (/.f64 (pow.f64 (+.f64 z 13/2) -1/2) (exp.f64 13/2))))) | |
| 63.1b | (*.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))))) (exp.f64 (-.f64 (*.f64 (+.f64 z -1/2) (log.f64 (+.f64 z 13/2))) (+.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 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)))) | |
| 3.8b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (/.f64 (+.f64 (*.f64 (+.f64 z 2) 10000000000000/7713234287776531) (*.f64 (*.f64 (+.f64 z 1) -2500000000000/3147848041806007) 1)) (*.f64 (*.f64 (+.f64 z 1) -2500000000000/3147848041806007) (*.f64 (+.f64 z 2) 10000000000000/7713234287776531)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -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))))) |
Compiled 19624 to 16611 computations (15.4% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.7b | (+.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))) |
| 1.0b | (sqrt.f64 (PI.f64)) | |
| 1.1b | (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (-.f64 z -1))) | |
| ✓ | 1.4b | (/.f64 (/.f64 (exp.f64 -13/2) (exp.f64 z)) (pow.f64 (-.f64 z -13/2) (-.f64 1/2 z))) |
Compiled 543 to 449 computations (17.3% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | z | @ | 0 | (/.f64 (/.f64 (exp.f64 -13/2) (exp.f64 z)) (pow.f64 (-.f64 z -13/2) (-.f64 1/2 z))) |
| 1.0ms | z | @ | -inf | (/.f64 (/.f64 (exp.f64 -13/2) (exp.f64 z)) (pow.f64 (-.f64 z -13/2) (-.f64 1/2 z))) |
| 1.0ms | z | @ | inf | (/.f64 (/.f64 (exp.f64 -13/2) (exp.f64 z)) (pow.f64 (-.f64 z -13/2) (-.f64 1/2 z))) |
| 0.0ms | z | @ | -inf | (+.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))) |
| 0.0ms | z | @ | 0 | (+.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))) |
| 1× | batch-egg-rewrite |
| 336× | add-sqr-sqrt_binary64 |
| 321× | add-log-exp_binary64 |
| 319× | log1p-expm1-u_binary64 |
| 319× | expm1-log1p-u_binary64 |
| 318× | add-cbrt-cube_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 28 | 43 |
| 1 | 684 | 43 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (/.f64 (exp.f64 -13/2) (exp.f64 z)) (pow.f64 (-.f64 z -13/2) (-.f64 1/2 z))) |
(+.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))) |
| Outputs |
|---|
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| 1× | egg-herbie |
| 531× | fma-def_binary64 |
| 490× | associate-*r*_binary64 |
| 469× | associate-*l*_binary64 |
| 450× | distribute-rgt-in_binary64 |
| 448× | distribute-lft-in_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 122 | 896 |
| 1 | 375 | 780 |
| 2 | 1358 | 694 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (exp.f64 -13/2) (sqrt.f64 13/2)) |
(+.f64 (/.f64 (exp.f64 -13/2) (sqrt.f64 13/2)) (*.f64 -1 (/.f64 (*.f64 (+.f64 (sqrt.f64 13/2) (*.f64 (+.f64 (*.f64 -1 (log.f64 13/2)) 1/13) (sqrt.f64 13/2))) (*.f64 z (exp.f64 -13/2))) (pow.f64 (sqrt.f64 13/2) 2)))) |
(+.f64 (/.f64 (exp.f64 -13/2) (sqrt.f64 13/2)) (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 13/2)) 1/13) (sqrt.f64 13/2)) (+.f64 (*.f64 1/2 (sqrt.f64 13/2)) (*.f64 (sqrt.f64 13/2) (-.f64 (*.f64 1/2 (pow.f64 (+.f64 (*.f64 -1 (log.f64 13/2)) 1/13) 2)) 27/169)))) (exp.f64 -13/2)) (pow.f64 (sqrt.f64 13/2) 2)) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (+.f64 (sqrt.f64 13/2) (*.f64 (+.f64 (*.f64 -1 (log.f64 13/2)) 1/13) (sqrt.f64 13/2))) 2) (exp.f64 -13/2)) (pow.f64 (sqrt.f64 13/2) 3)))) (pow.f64 z 2))) (*.f64 -1 (/.f64 (*.f64 (+.f64 (sqrt.f64 13/2) (*.f64 (+.f64 (*.f64 -1 (log.f64 13/2)) 1/13) (sqrt.f64 13/2))) (*.f64 z (exp.f64 -13/2))) (pow.f64 (sqrt.f64 13/2) 2))))) |
(+.f64 (/.f64 (exp.f64 -13/2) (sqrt.f64 13/2)) (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 13/2)) 1/13) (sqrt.f64 13/2)) (+.f64 (*.f64 1/2 (sqrt.f64 13/2)) (*.f64 (sqrt.f64 13/2) (-.f64 (*.f64 1/2 (pow.f64 (+.f64 (*.f64 -1 (log.f64 13/2)) 1/13) 2)) 27/169)))) (exp.f64 -13/2)) (pow.f64 (sqrt.f64 13/2) 2)) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (+.f64 (sqrt.f64 13/2) (*.f64 (+.f64 (*.f64 -1 (log.f64 13/2)) 1/13) (sqrt.f64 13/2))) 2) (exp.f64 -13/2)) (pow.f64 (sqrt.f64 13/2) 3)))) (pow.f64 z 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (sqrt.f64 13/2) (*.f64 (+.f64 (*.f64 -1 (log.f64 13/2)) 1/13) (sqrt.f64 13/2))) (*.f64 z (exp.f64 -13/2))) (pow.f64 (sqrt.f64 13/2) 2))) (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (sqrt.f64 13/2) (*.f64 (+.f64 (*.f64 -1 (log.f64 13/2)) 1/13) (sqrt.f64 13/2))) (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 13/2)) 1/13) (sqrt.f64 13/2)) (+.f64 (*.f64 1/2 (sqrt.f64 13/2)) (*.f64 (sqrt.f64 13/2) (-.f64 (*.f64 1/2 (pow.f64 (+.f64 (*.f64 -1 (log.f64 13/2)) 1/13) 2)) 27/169)))) (exp.f64 -13/2))) (pow.f64 (sqrt.f64 13/2) 3))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (sqrt.f64 13/2) (*.f64 (+.f64 (*.f64 -1 (log.f64 13/2)) 1/13) (sqrt.f64 13/2))) (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 1/2 (sqrt.f64 13/2)) (+.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 13/2)) 1/13) (sqrt.f64 13/2)) (*.f64 (sqrt.f64 13/2) (-.f64 (*.f64 1/2 (pow.f64 (+.f64 (*.f64 -1 (log.f64 13/2)) 1/13) 2)) 27/169)))) (exp.f64 -13/2)) (pow.f64 (sqrt.f64 13/2) 2)) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (+.f64 (sqrt.f64 13/2) (*.f64 (+.f64 (*.f64 -1 (log.f64 13/2)) 1/13) (sqrt.f64 13/2))) 2) (exp.f64 -13/2)) (pow.f64 (sqrt.f64 13/2) 3))))) (sqrt.f64 13/2))) (/.f64 (*.f64 (+.f64 (*.f64 (sqrt.f64 13/2) (+.f64 (*.f64 1/6 (pow.f64 (+.f64 (*.f64 -1 (log.f64 13/2)) 1/13) 3)) (+.f64 82/6591 (*.f64 -27/169 (+.f64 (*.f64 -1 (log.f64 13/2)) 1/13))))) (+.f64 (*.f64 1/6 (sqrt.f64 13/2)) (+.f64 (*.f64 1/2 (*.f64 (+.f64 (*.f64 -1 (log.f64 13/2)) 1/13) (sqrt.f64 13/2))) (*.f64 (sqrt.f64 13/2) (-.f64 (*.f64 1/2 (pow.f64 (+.f64 (*.f64 -1 (log.f64 13/2)) 1/13) 2)) 27/169))))) (exp.f64 -13/2)) (pow.f64 (sqrt.f64 13/2) 2)))) (pow.f64 z 3)))))) |
(/.f64 (exp.f64 -13/2) (*.f64 (pow.f64 (+.f64 13/2 z) (-.f64 1/2 z)) (exp.f64 z))) |
(/.f64 (exp.f64 -13/2) (*.f64 (pow.f64 (+.f64 13/2 z) (-.f64 1/2 z)) (exp.f64 z))) |
(/.f64 (exp.f64 -13/2) (*.f64 (pow.f64 (+.f64 13/2 z) (-.f64 1/2 z)) (exp.f64 z))) |
(/.f64 (exp.f64 -13/2) (*.f64 (pow.f64 (+.f64 13/2 z) (-.f64 1/2 z)) (exp.f64 z))) |
(/.f64 (exp.f64 -13/2) (*.f64 (exp.f64 z) (exp.f64 (*.f64 (log.f64 (-.f64 13/2 (*.f64 -1 z))) (+.f64 (*.f64 -1 z) 1/2))))) |
(/.f64 (exp.f64 -13/2) (*.f64 (exp.f64 z) (exp.f64 (*.f64 (log.f64 (-.f64 13/2 (*.f64 -1 z))) (+.f64 (*.f64 -1 z) 1/2))))) |
(/.f64 (exp.f64 -13/2) (*.f64 (exp.f64 z) (exp.f64 (*.f64 (log.f64 (-.f64 13/2 (*.f64 -1 z))) (+.f64 (*.f64 -1 z) 1/2))))) |
(/.f64 (exp.f64 -13/2) (*.f64 (exp.f64 z) (exp.f64 (*.f64 (log.f64 (-.f64 13/2 (*.f64 -1 z))) (+.f64 (*.f64 -1 z) 1/2))))) |
(/.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 (exp.f64 -13/2) (sqrt.f64 13/2)) |
(+.f64 (/.f64 (exp.f64 -13/2) (sqrt.f64 13/2)) (*.f64 -1 (/.f64 (*.f64 (+.f64 (sqrt.f64 13/2) (*.f64 (+.f64 (*.f64 -1 (log.f64 13/2)) 1/13) (sqrt.f64 13/2))) (*.f64 z (exp.f64 -13/2))) (pow.f64 (sqrt.f64 13/2) 2)))) |
(+.f64 (/.f64 (exp.f64 -13/2) (sqrt.f64 13/2)) (neg.f64 (/.f64 (*.f64 (+.f64 (fma.f64 -1 (log.f64 13/2) 1/13) 1) (sqrt.f64 13/2)) (/.f64 (pow.f64 (sqrt.f64 13/2) 2) (*.f64 (exp.f64 -13/2) z))))) |
(-.f64 (/.f64 (exp.f64 -13/2) (sqrt.f64 13/2)) (*.f64 (/.f64 (*.f64 (sqrt.f64 13/2) (+.f64 (neg.f64 (log.f64 13/2)) 14/13)) 13/2) (*.f64 (exp.f64 -13/2) z))) |
(+.f64 (/.f64 (exp.f64 -13/2) (sqrt.f64 13/2)) (*.f64 -2/13 (*.f64 (-.f64 14/13 (log.f64 13/2)) (*.f64 (*.f64 (sqrt.f64 13/2) z) (exp.f64 -13/2))))) |
(+.f64 (/.f64 (exp.f64 -13/2) (sqrt.f64 13/2)) (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 13/2)) 1/13) (sqrt.f64 13/2)) (+.f64 (*.f64 1/2 (sqrt.f64 13/2)) (*.f64 (sqrt.f64 13/2) (-.f64 (*.f64 1/2 (pow.f64 (+.f64 (*.f64 -1 (log.f64 13/2)) 1/13) 2)) 27/169)))) (exp.f64 -13/2)) (pow.f64 (sqrt.f64 13/2) 2)) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (+.f64 (sqrt.f64 13/2) (*.f64 (+.f64 (*.f64 -1 (log.f64 13/2)) 1/13) (sqrt.f64 13/2))) 2) (exp.f64 -13/2)) (pow.f64 (sqrt.f64 13/2) 3)))) (pow.f64 z 2))) (*.f64 -1 (/.f64 (*.f64 (+.f64 (sqrt.f64 13/2) (*.f64 (+.f64 (*.f64 -1 (log.f64 13/2)) 1/13) (sqrt.f64 13/2))) (*.f64 z (exp.f64 -13/2))) (pow.f64 (sqrt.f64 13/2) 2))))) |
(+.f64 (/.f64 (exp.f64 -13/2) (sqrt.f64 13/2)) (fma.f64 -1 (*.f64 (+.f64 (/.f64 (fma.f64 (fma.f64 -1 (log.f64 13/2) 1/13) (sqrt.f64 13/2) (fma.f64 1/2 (sqrt.f64 13/2) (*.f64 (sqrt.f64 13/2) (fma.f64 1/2 (pow.f64 (fma.f64 -1 (log.f64 13/2) 1/13) 2) -27/169)))) (/.f64 (pow.f64 (sqrt.f64 13/2) 2) (exp.f64 -13/2))) (neg.f64 (/.f64 (pow.f64 (*.f64 (+.f64 (fma.f64 -1 (log.f64 13/2) 1/13) 1) (sqrt.f64 13/2)) 2) (/.f64 (pow.f64 (sqrt.f64 13/2) 3) (exp.f64 -13/2))))) (*.f64 z z)) (neg.f64 (/.f64 (*.f64 (+.f64 (fma.f64 -1 (log.f64 13/2) 1/13) 1) (sqrt.f64 13/2)) (/.f64 (pow.f64 (sqrt.f64 13/2) 2) (*.f64 (exp.f64 -13/2) z)))))) |
(fma.f64 -1 (fma.f64 (+.f64 (*.f64 -2/13 (/.f64 (*.f64 (exp.f64 -13/2) (pow.f64 (*.f64 (sqrt.f64 13/2) (+.f64 (neg.f64 (log.f64 13/2)) 14/13)) 2)) (sqrt.f64 13/2))) (/.f64 (exp.f64 -13/2) (/.f64 13/2 (fma.f64 (sqrt.f64 13/2) 1/2 (*.f64 (sqrt.f64 13/2) (+.f64 (fma.f64 1/2 (pow.f64 (-.f64 1/13 (log.f64 13/2)) 2) -27/169) (-.f64 1/13 (log.f64 13/2)))))))) (*.f64 z z) (*.f64 (/.f64 (*.f64 (sqrt.f64 13/2) (+.f64 (neg.f64 (log.f64 13/2)) 14/13)) 13/2) (*.f64 (exp.f64 -13/2) z))) (/.f64 (exp.f64 -13/2) (sqrt.f64 13/2))) |
(-.f64 (/.f64 (exp.f64 -13/2) (sqrt.f64 13/2)) (fma.f64 z (*.f64 z (*.f64 (exp.f64 -13/2) (-.f64 (/.f64 (*.f64 (sqrt.f64 13/2) (+.f64 (fma.f64 1/2 (pow.f64 (-.f64 1/13 (log.f64 13/2)) 2) -27/169) (-.f64 15/26 (log.f64 13/2)))) 13/2) (*.f64 (/.f64 (*.f64 (-.f64 14/13 (log.f64 13/2)) (-.f64 14/13 (log.f64 13/2))) (sqrt.f64 13/2)) 1)))) (/.f64 z (/.f64 (/.f64 (/.f64 13/2 (-.f64 14/13 (log.f64 13/2))) (sqrt.f64 13/2)) (exp.f64 -13/2))))) |
(+.f64 (/.f64 (exp.f64 -13/2) (sqrt.f64 13/2)) (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 13/2)) 1/13) (sqrt.f64 13/2)) (+.f64 (*.f64 1/2 (sqrt.f64 13/2)) (*.f64 (sqrt.f64 13/2) (-.f64 (*.f64 1/2 (pow.f64 (+.f64 (*.f64 -1 (log.f64 13/2)) 1/13) 2)) 27/169)))) (exp.f64 -13/2)) (pow.f64 (sqrt.f64 13/2) 2)) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (+.f64 (sqrt.f64 13/2) (*.f64 (+.f64 (*.f64 -1 (log.f64 13/2)) 1/13) (sqrt.f64 13/2))) 2) (exp.f64 -13/2)) (pow.f64 (sqrt.f64 13/2) 3)))) (pow.f64 z 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (sqrt.f64 13/2) (*.f64 (+.f64 (*.f64 -1 (log.f64 13/2)) 1/13) (sqrt.f64 13/2))) (*.f64 z (exp.f64 -13/2))) (pow.f64 (sqrt.f64 13/2) 2))) (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (sqrt.f64 13/2) (*.f64 (+.f64 (*.f64 -1 (log.f64 13/2)) 1/13) (sqrt.f64 13/2))) (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 13/2)) 1/13) (sqrt.f64 13/2)) (+.f64 (*.f64 1/2 (sqrt.f64 13/2)) (*.f64 (sqrt.f64 13/2) (-.f64 (*.f64 1/2 (pow.f64 (+.f64 (*.f64 -1 (log.f64 13/2)) 1/13) 2)) 27/169)))) (exp.f64 -13/2))) (pow.f64 (sqrt.f64 13/2) 3))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (sqrt.f64 13/2) (*.f64 (+.f64 (*.f64 -1 (log.f64 13/2)) 1/13) (sqrt.f64 13/2))) (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 1/2 (sqrt.f64 13/2)) (+.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 13/2)) 1/13) (sqrt.f64 13/2)) (*.f64 (sqrt.f64 13/2) (-.f64 (*.f64 1/2 (pow.f64 (+.f64 (*.f64 -1 (log.f64 13/2)) 1/13) 2)) 27/169)))) (exp.f64 -13/2)) (pow.f64 (sqrt.f64 13/2) 2)) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (+.f64 (sqrt.f64 13/2) (*.f64 (+.f64 (*.f64 -1 (log.f64 13/2)) 1/13) (sqrt.f64 13/2))) 2) (exp.f64 -13/2)) (pow.f64 (sqrt.f64 13/2) 3))))) (sqrt.f64 13/2))) (/.f64 (*.f64 (+.f64 (*.f64 (sqrt.f64 13/2) (+.f64 (*.f64 1/6 (pow.f64 (+.f64 (*.f64 -1 (log.f64 13/2)) 1/13) 3)) (+.f64 82/6591 (*.f64 -27/169 (+.f64 (*.f64 -1 (log.f64 13/2)) 1/13))))) (+.f64 (*.f64 1/6 (sqrt.f64 13/2)) (+.f64 (*.f64 1/2 (*.f64 (+.f64 (*.f64 -1 (log.f64 13/2)) 1/13) (sqrt.f64 13/2))) (*.f64 (sqrt.f64 13/2) (-.f64 (*.f64 1/2 (pow.f64 (+.f64 (*.f64 -1 (log.f64 13/2)) 1/13) 2)) 27/169))))) (exp.f64 -13/2)) (pow.f64 (sqrt.f64 13/2) 2)))) (pow.f64 z 3)))))) |
(+.f64 (/.f64 (exp.f64 -13/2) (sqrt.f64 13/2)) (fma.f64 -1 (*.f64 (+.f64 (/.f64 (fma.f64 (fma.f64 -1 (log.f64 13/2) 1/13) (sqrt.f64 13/2) (fma.f64 1/2 (sqrt.f64 13/2) (*.f64 (sqrt.f64 13/2) (fma.f64 1/2 (pow.f64 (fma.f64 -1 (log.f64 13/2) 1/13) 2) -27/169)))) (/.f64 (pow.f64 (sqrt.f64 13/2) 2) (exp.f64 -13/2))) (neg.f64 (/.f64 (pow.f64 (*.f64 (+.f64 (fma.f64 -1 (log.f64 13/2) 1/13) 1) (sqrt.f64 13/2)) 2) (/.f64 (pow.f64 (sqrt.f64 13/2) 3) (exp.f64 -13/2))))) (*.f64 z z)) (*.f64 -1 (+.f64 (/.f64 (*.f64 (+.f64 (fma.f64 -1 (log.f64 13/2) 1/13) 1) (sqrt.f64 13/2)) (/.f64 (pow.f64 (sqrt.f64 13/2) 2) (*.f64 (exp.f64 -13/2) z))) (*.f64 (fma.f64 -1 (/.f64 (*.f64 (+.f64 (fma.f64 -1 (log.f64 13/2) 1/13) 1) (sqrt.f64 13/2)) (/.f64 (pow.f64 (sqrt.f64 13/2) 3) (*.f64 (exp.f64 -13/2) (fma.f64 (fma.f64 -1 (log.f64 13/2) 1/13) (sqrt.f64 13/2) (fma.f64 1/2 (sqrt.f64 13/2) (*.f64 (sqrt.f64 13/2) (fma.f64 1/2 (pow.f64 (fma.f64 -1 (log.f64 13/2) 1/13) 2) -27/169))))))) (fma.f64 -1 (/.f64 (*.f64 (+.f64 (fma.f64 -1 (log.f64 13/2) 1/13) 1) (sqrt.f64 13/2)) (/.f64 (sqrt.f64 13/2) (+.f64 (neg.f64 (/.f64 (pow.f64 (*.f64 (+.f64 (fma.f64 -1 (log.f64 13/2) 1/13) 1) (sqrt.f64 13/2)) 2) (/.f64 (pow.f64 (sqrt.f64 13/2) 3) (exp.f64 -13/2)))) (/.f64 (fma.f64 1/2 (sqrt.f64 13/2) (fma.f64 (fma.f64 -1 (log.f64 13/2) 1/13) (sqrt.f64 13/2) (*.f64 (sqrt.f64 13/2) (fma.f64 1/2 (pow.f64 (fma.f64 -1 (log.f64 13/2) 1/13) 2) -27/169)))) (/.f64 (pow.f64 (sqrt.f64 13/2) 2) (exp.f64 -13/2)))))) (/.f64 (fma.f64 (sqrt.f64 13/2) (fma.f64 1/6 (pow.f64 (fma.f64 -1 (log.f64 13/2) 1/13) 3) (+.f64 82/6591 (*.f64 (fma.f64 -1 (log.f64 13/2) 1/13) -27/169))) (fma.f64 1/6 (sqrt.f64 13/2) (fma.f64 1/2 (*.f64 (sqrt.f64 13/2) (fma.f64 -1 (log.f64 13/2) 1/13)) (*.f64 (sqrt.f64 13/2) (fma.f64 1/2 (pow.f64 (fma.f64 -1 (log.f64 13/2) 1/13) 2) -27/169))))) (/.f64 (pow.f64 (sqrt.f64 13/2) 2) (exp.f64 -13/2))))) (pow.f64 z 3)))))) |
(+.f64 (/.f64 (exp.f64 -13/2) (sqrt.f64 13/2)) (-.f64 (neg.f64 (fma.f64 (+.f64 (*.f64 -2/13 (/.f64 (*.f64 (exp.f64 -13/2) (pow.f64 (*.f64 (sqrt.f64 13/2) (+.f64 (neg.f64 (log.f64 13/2)) 14/13)) 2)) (sqrt.f64 13/2))) (/.f64 (exp.f64 -13/2) (/.f64 13/2 (fma.f64 (sqrt.f64 13/2) 1/2 (*.f64 (sqrt.f64 13/2) (+.f64 (fma.f64 1/2 (pow.f64 (-.f64 1/13 (log.f64 13/2)) 2) -27/169) (-.f64 1/13 (log.f64 13/2)))))))) (*.f64 z z) (*.f64 (/.f64 (*.f64 (sqrt.f64 13/2) (+.f64 (neg.f64 (log.f64 13/2)) 14/13)) 13/2) (*.f64 (exp.f64 -13/2) z)))) (*.f64 (+.f64 (*.f64 -2/13 (/.f64 (*.f64 (exp.f64 -13/2) (*.f64 (*.f64 (sqrt.f64 13/2) (+.f64 (neg.f64 (log.f64 13/2)) 14/13)) (fma.f64 (sqrt.f64 13/2) 1/2 (*.f64 (sqrt.f64 13/2) (+.f64 (fma.f64 1/2 (pow.f64 (-.f64 1/13 (log.f64 13/2)) 2) -27/169) (-.f64 1/13 (log.f64 13/2))))))) (sqrt.f64 13/2))) (-.f64 (/.f64 (exp.f64 -13/2) (/.f64 13/2 (+.f64 (*.f64 (sqrt.f64 13/2) (+.f64 (fma.f64 1/2 (pow.f64 (-.f64 1/13 (log.f64 13/2)) 2) -27/169) (*.f64 (-.f64 1/13 (log.f64 13/2)) 1/2))) (*.f64 (sqrt.f64 13/2) (+.f64 (fma.f64 1/6 (pow.f64 (-.f64 1/13 (log.f64 13/2)) 3) (+.f64 (*.f64 (log.f64 13/2) 27/169) 1/6591)) 1/6))))) (*.f64 (/.f64 (*.f64 (sqrt.f64 13/2) (+.f64 (neg.f64 (log.f64 13/2)) 14/13)) (sqrt.f64 13/2)) (+.f64 (*.f64 -2/13 (/.f64 (*.f64 (exp.f64 -13/2) (pow.f64 (*.f64 (sqrt.f64 13/2) (+.f64 (neg.f64 (log.f64 13/2)) 14/13)) 2)) (sqrt.f64 13/2))) (/.f64 (exp.f64 -13/2) (/.f64 13/2 (fma.f64 (sqrt.f64 13/2) 1/2 (*.f64 (sqrt.f64 13/2) (+.f64 (fma.f64 1/2 (pow.f64 (-.f64 1/13 (log.f64 13/2)) 2) -27/169) (-.f64 1/13 (log.f64 13/2))))))))))) (pow.f64 z 3)))) |
(fma.f64 -1 (fma.f64 z (*.f64 z (*.f64 (exp.f64 -13/2) (-.f64 (/.f64 (*.f64 (sqrt.f64 13/2) (+.f64 (fma.f64 1/2 (pow.f64 (-.f64 1/13 (log.f64 13/2)) 2) -27/169) (-.f64 15/26 (log.f64 13/2)))) 13/2) (*.f64 (/.f64 (*.f64 (-.f64 14/13 (log.f64 13/2)) (-.f64 14/13 (log.f64 13/2))) (sqrt.f64 13/2)) 1)))) (fma.f64 (-.f64 (*.f64 (/.f64 (exp.f64 -13/2) 13/2) (*.f64 (sqrt.f64 13/2) (+.f64 (fma.f64 (-.f64 1/13 (log.f64 13/2)) 1/2 (fma.f64 1/2 (pow.f64 (-.f64 1/13 (log.f64 13/2)) 2) -27/169)) (+.f64 (fma.f64 1/6 (pow.f64 (-.f64 1/13 (log.f64 13/2)) 3) (fma.f64 (log.f64 13/2) 27/169 -27/2197)) 787/4394)))) (*.f64 (/.f64 (-.f64 14/13 (log.f64 13/2)) (/.f64 (sqrt.f64 13/2) (sqrt.f64 13/2))) (+.f64 (*.f64 (/.f64 (exp.f64 -13/2) 13/2) (*.f64 (sqrt.f64 13/2) (+.f64 (fma.f64 1/2 (pow.f64 (-.f64 1/13 (log.f64 13/2)) 2) -27/169) (-.f64 15/26 (log.f64 13/2))))) (*.f64 (exp.f64 -13/2) (-.f64 (/.f64 (*.f64 (sqrt.f64 13/2) (+.f64 (fma.f64 1/2 (pow.f64 (-.f64 1/13 (log.f64 13/2)) 2) -27/169) (-.f64 15/26 (log.f64 13/2)))) 13/2) (*.f64 (/.f64 (*.f64 (-.f64 14/13 (log.f64 13/2)) (-.f64 14/13 (log.f64 13/2))) (sqrt.f64 13/2)) 1)))))) (pow.f64 z 3) (/.f64 z (/.f64 (/.f64 (/.f64 13/2 (-.f64 14/13 (log.f64 13/2))) (sqrt.f64 13/2)) (exp.f64 -13/2))))) (/.f64 (exp.f64 -13/2) (sqrt.f64 13/2))) |
(/.f64 (exp.f64 -13/2) (*.f64 (pow.f64 (+.f64 13/2 z) (-.f64 1/2 z)) (exp.f64 z))) |
(/.f64 (exp.f64 (-.f64 -13/2 z)) (pow.f64 (+.f64 z 13/2) (-.f64 1/2 z))) |
(/.f64 (exp.f64 -13/2) (*.f64 (pow.f64 (+.f64 13/2 z) (-.f64 1/2 z)) (exp.f64 z))) |
(/.f64 (exp.f64 (-.f64 -13/2 z)) (pow.f64 (+.f64 z 13/2) (-.f64 1/2 z))) |
(/.f64 (exp.f64 -13/2) (*.f64 (pow.f64 (+.f64 13/2 z) (-.f64 1/2 z)) (exp.f64 z))) |
(/.f64 (exp.f64 (-.f64 -13/2 z)) (pow.f64 (+.f64 z 13/2) (-.f64 1/2 z))) |
(/.f64 (exp.f64 -13/2) (*.f64 (pow.f64 (+.f64 13/2 z) (-.f64 1/2 z)) (exp.f64 z))) |
(/.f64 (exp.f64 (-.f64 -13/2 z)) (pow.f64 (+.f64 z 13/2) (-.f64 1/2 z))) |
(/.f64 (exp.f64 -13/2) (*.f64 (exp.f64 z) (exp.f64 (*.f64 (log.f64 (-.f64 13/2 (*.f64 -1 z))) (+.f64 (*.f64 -1 z) 1/2))))) |
(/.f64 (exp.f64 -13/2) (*.f64 (pow.f64 (+.f64 13/2 z) (-.f64 1/2 z)) (exp.f64 z))) |
(/.f64 (exp.f64 (-.f64 -13/2 z)) (pow.f64 (+.f64 z 13/2) (-.f64 1/2 z))) |
(/.f64 (exp.f64 -13/2) (*.f64 (exp.f64 z) (exp.f64 (*.f64 (log.f64 (-.f64 13/2 (*.f64 -1 z))) (+.f64 (*.f64 -1 z) 1/2))))) |
(/.f64 (exp.f64 -13/2) (*.f64 (pow.f64 (+.f64 13/2 z) (-.f64 1/2 z)) (exp.f64 z))) |
(/.f64 (exp.f64 (-.f64 -13/2 z)) (pow.f64 (+.f64 z 13/2) (-.f64 1/2 z))) |
(/.f64 (exp.f64 -13/2) (*.f64 (exp.f64 z) (exp.f64 (*.f64 (log.f64 (-.f64 13/2 (*.f64 -1 z))) (+.f64 (*.f64 -1 z) 1/2))))) |
(/.f64 (exp.f64 -13/2) (*.f64 (pow.f64 (+.f64 13/2 z) (-.f64 1/2 z)) (exp.f64 z))) |
(/.f64 (exp.f64 (-.f64 -13/2 z)) (pow.f64 (+.f64 z 13/2) (-.f64 1/2 z))) |
(/.f64 (exp.f64 -13/2) (*.f64 (exp.f64 z) (exp.f64 (*.f64 (log.f64 (-.f64 13/2 (*.f64 -1 z))) (+.f64 (*.f64 -1 z) 1/2))))) |
(/.f64 (exp.f64 -13/2) (*.f64 (pow.f64 (+.f64 13/2 z) (-.f64 1/2 z)) (exp.f64 z))) |
(/.f64 (exp.f64 (-.f64 -13/2 z)) (pow.f64 (+.f64 z 13/2) (-.f64 1/2 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)) |
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 9999999999998099/10000000000000000 (+.f64 (/.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 943522900885677/5000000000000 z) (-.f64 (/.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))))) |
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 9999999999998099/10000000000000000 (+.f64 (/.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 943522900885677/5000000000000 z) (-.f64 (/.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))))) |
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 | |
|---|---|---|---|---|
| 4.0ms | 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)))) |
| 1.0ms | 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 (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)))) |
| 0.0ms | z | @ | inf | (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) |
| 0.0ms | 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)))))) |
(*.f64 (sqrt.f64 (PI.f64)) (+.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) 89979281735637421015992791/463050000000000000000000000) (exp.f64 13/2)) (*.f64 (sqrt.f64 2/13) (*.f64 z z))) (*.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 (*.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))))))) |
(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)) (fma.f64 -472930180101341472286462573/9724050000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 2) (/.f64 (exp.f64 13/2) (*.f64 (sqrt.f64 2/13) (pow.f64 z 3))))) (*.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))))))))) |
(+.f64 (*.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)) (+.f64 (*.f64 89979281735637421015992791/463050000000000000000000000 (/.f64 (sqrt.f64 2) (/.f64 (exp.f64 13/2) (*.f64 (sqrt.f64 2/13) (*.f64 z z))))) (*.f64 -472930180101341472286462573/9724050000000000000000000000 (/.f64 (*.f64 (sqrt.f64 2/13) (pow.f64 z 3)) (/.f64 (exp.f64 13/2) (sqrt.f64 2))))))) |
(*.f64 (sqrt.f64 (PI.f64)) (+.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)))) (fma.f64 89979281735637421015992791/463050000000000000000000000 (*.f64 (*.f64 (sqrt.f64 2/13) (/.f64 (sqrt.f64 2) (exp.f64 13/2))) (*.f64 z z)) (/.f64 (*.f64 (sqrt.f64 2) -472930180101341472286462573/9724050000000000000000000000) (/.f64 (/.f64 (exp.f64 13/2) (sqrt.f64 2/13)) (pow.f64 z 3)))))) |
(*.f64 (sqrt.f64 (PI.f64)) (+.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 (sqrt.f64 2) (exp.f64 13/2)) (+.f64 (*.f64 (*.f64 (sqrt.f64 2/13) (*.f64 z z)) 89979281735637421015992791/463050000000000000000000000) (*.f64 (*.f64 (sqrt.f64 2/13) (pow.f64 z 3)) -472930180101341472286462573/9724050000000000000000000000))))) |
(*.f64 (sqrt.f64 (PI.f64)) (+.f64 (*.f64 (/.f64 (sqrt.f64 2) (exp.f64 13/2)) (+.f64 (*.f64 (sqrt.f64 2/13) -28755590378125365543517613/525000000000000000000000) (*.f64 (*.f64 (sqrt.f64 2/13) (pow.f64 z 3)) -472930180101341472286462573/9724050000000000000000000000))) (*.f64 (/.f64 (sqrt.f64 2) (exp.f64 13/2)) (+.f64 (*.f64 (*.f64 (sqrt.f64 2/13) (*.f64 z z)) 89979281735637421015992791/463050000000000000000000000) (*.f64 (*.f64 (sqrt.f64 2/13) z) -267413577079622897281123/344531250000000000000000))))) |
(*.f64 -578716763873803901/10000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (exp.f64 13/2)) (sqrt.f64 (PI.f64)))) |
(*.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (sqrt.f64 (PI.f64))) (exp.f64 13/2)) -578716763873803901/10000000000000000) |
(*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 -578716763873803901/10000000000000000 (sqrt.f64 2)) (/.f64 (exp.f64 13/2) (sqrt.f64 2/13)))) |
(*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (sqrt.f64 2/13) -578716763873803901/10000000000000000) (/.f64 (exp.f64 13/2) (sqrt.f64 2)))) |
(*.f64 (*.f64 (sqrt.f64 2/13) (/.f64 (sqrt.f64 2) (exp.f64 13/2))) (*.f64 (sqrt.f64 (PI.f64)) -578716763873803901/10000000000000000)) |
(+.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))))) |
(fma.f64 -578716763873803901/10000000000000000 (/.f64 (*.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (sqrt.f64 (PI.f64))) (exp.f64 13/2)) (*.f64 309219557958850910362579/25000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (/.f64 (sqrt.f64 2) (exp.f64 13/2)) (/.f64 (sqrt.f64 2/13) z))))) |
(*.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)) (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))) |
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (*.f64 (sqrt.f64 2/13) (/.f64 (sqrt.f64 2) (exp.f64 13/2))) (+.f64 (/.f64 309219557958850910362579/25000000000000000000000 z) -578716763873803901/10000000000000000))) |
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (*.f64 (sqrt.f64 2/13) (/.f64 (sqrt.f64 2) (exp.f64 13/2))) (+.f64 -578716763873803901/10000000000000000 (/.f64 309219557958850910362579/25000000000000000000000 z)))) |
(+.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)))))) |
(fma.f64 -578716763873803901/10000000000000000 (/.f64 (*.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (sqrt.f64 (PI.f64))) (exp.f64 13/2)) (fma.f64 309219557958850910362579/25000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (/.f64 (sqrt.f64 2) (exp.f64 13/2)) (/.f64 (sqrt.f64 2/13) z))) (*.f64 -1233414464964485053048753/25000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (/.f64 (sqrt.f64 2) (exp.f64 13/2)) (/.f64 (sqrt.f64 2/13) (*.f64 z z))))))) |
(fma.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 2/13) (sqrt.f64 (PI.f64)))) (exp.f64 13/2)) -578716763873803901/10000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (+.f64 (*.f64 309219557958850910362579/25000000000000000000000 (*.f64 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) (/.f64 (sqrt.f64 2) z))) (*.f64 -1233414464964485053048753/25000000000000000000000 (/.f64 (sqrt.f64 2) (/.f64 (*.f64 z z) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)))))))) |
(*.f64 (sqrt.f64 (PI.f64)) (+.f64 (/.f64 (*.f64 (sqrt.f64 2/13) -578716763873803901/10000000000000000) (/.f64 (exp.f64 13/2) (sqrt.f64 2))) (fma.f64 309219557958850910362579/25000000000000000000000 (*.f64 (/.f64 (sqrt.f64 2) (exp.f64 13/2)) (/.f64 (sqrt.f64 2/13) z)) (*.f64 (/.f64 -1233414464964485053048753/25000000000000000000000 (exp.f64 13/2)) (/.f64 (/.f64 (sqrt.f64 2) (/.f64 z (sqrt.f64 2/13))) z))))) |
(*.f64 (sqrt.f64 (PI.f64)) (+.f64 (/.f64 (*.f64 (sqrt.f64 2) -578716763873803901/10000000000000000) (/.f64 (exp.f64 13/2) (sqrt.f64 2/13))) (*.f64 (*.f64 (/.f64 (sqrt.f64 2) (exp.f64 13/2)) (/.f64 (sqrt.f64 2/13) z)) (+.f64 309219557958850910362579/25000000000000000000000 (/.f64 -1233414464964485053048753/25000000000000000000000 z))))) |
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(*.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (sqrt.f64 (PI.f64))) (exp.f64 13/2)) -578716763873803901/10000000000000000) |
(*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 -578716763873803901/10000000000000000 (sqrt.f64 2)) (/.f64 (exp.f64 13/2) (sqrt.f64 2/13)))) |
(*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (sqrt.f64 2/13) -578716763873803901/10000000000000000) (/.f64 (exp.f64 13/2) (sqrt.f64 2)))) |
(*.f64 (*.f64 (sqrt.f64 2/13) (/.f64 (sqrt.f64 2) (exp.f64 13/2))) (*.f64 (sqrt.f64 (PI.f64)) -578716763873803901/10000000000000000)) |
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(fma.f64 -578716763873803901/10000000000000000 (/.f64 (*.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (sqrt.f64 (PI.f64))) (exp.f64 13/2)) (*.f64 309219557958850910362579/25000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (/.f64 (sqrt.f64 2) (exp.f64 13/2)) (/.f64 (sqrt.f64 2/13) z))))) |
(*.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)) (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))) |
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (*.f64 (sqrt.f64 2/13) (/.f64 (sqrt.f64 2) (exp.f64 13/2))) (+.f64 (/.f64 309219557958850910362579/25000000000000000000000 z) -578716763873803901/10000000000000000))) |
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (*.f64 (sqrt.f64 2/13) (/.f64 (sqrt.f64 2) (exp.f64 13/2))) (+.f64 -578716763873803901/10000000000000000 (/.f64 309219557958850910362579/25000000000000000000000 z)))) |
(+.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)))))) |
(fma.f64 -578716763873803901/10000000000000000 (/.f64 (*.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (sqrt.f64 (PI.f64))) (exp.f64 13/2)) (fma.f64 309219557958850910362579/25000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (/.f64 (sqrt.f64 2) (exp.f64 13/2)) (/.f64 (sqrt.f64 2/13) z))) (*.f64 -1233414464964485053048753/25000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (/.f64 (sqrt.f64 2) (exp.f64 13/2)) (/.f64 (sqrt.f64 2/13) (*.f64 z z))))))) |
(fma.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 2/13) (sqrt.f64 (PI.f64)))) (exp.f64 13/2)) -578716763873803901/10000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (+.f64 (*.f64 309219557958850910362579/25000000000000000000000 (*.f64 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) (/.f64 (sqrt.f64 2) z))) (*.f64 -1233414464964485053048753/25000000000000000000000 (/.f64 (sqrt.f64 2) (/.f64 (*.f64 z z) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)))))))) |
(*.f64 (sqrt.f64 (PI.f64)) (+.f64 (/.f64 (*.f64 (sqrt.f64 2/13) -578716763873803901/10000000000000000) (/.f64 (exp.f64 13/2) (sqrt.f64 2))) (fma.f64 309219557958850910362579/25000000000000000000000 (*.f64 (/.f64 (sqrt.f64 2) (exp.f64 13/2)) (/.f64 (sqrt.f64 2/13) z)) (*.f64 (/.f64 -1233414464964485053048753/25000000000000000000000 (exp.f64 13/2)) (/.f64 (/.f64 (sqrt.f64 2) (/.f64 z (sqrt.f64 2/13))) z))))) |
(*.f64 (sqrt.f64 (PI.f64)) (+.f64 (/.f64 (*.f64 (sqrt.f64 2) -578716763873803901/10000000000000000) (/.f64 (exp.f64 13/2) (sqrt.f64 2/13))) (*.f64 (*.f64 (/.f64 (sqrt.f64 2) (exp.f64 13/2)) (/.f64 (sqrt.f64 2/13) z)) (+.f64 309219557958850910362579/25000000000000000000000 (/.f64 -1233414464964485053048753/25000000000000000000000 z))))) |
(+.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))))))) |
(fma.f64 -578716763873803901/10000000000000000 (/.f64 (*.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (sqrt.f64 (PI.f64))) (exp.f64 13/2)) (fma.f64 309219557958850910362579/25000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (/.f64 (sqrt.f64 2) (exp.f64 13/2)) (/.f64 (sqrt.f64 2/13) z))) (fma.f64 -1233414464964485053048753/25000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (/.f64 (sqrt.f64 2) (exp.f64 13/2)) (/.f64 (sqrt.f64 2/13) (*.f64 z z)))) (*.f64 4916339547306317198405471/25000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (/.f64 (sqrt.f64 2) (exp.f64 13/2)) (/.f64 (sqrt.f64 2/13) (pow.f64 z 3)))))))) |
(+.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 |
|---|---|---|
| 0.6b | (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z))) | |
| 0.7b | (+.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)) (/.f64 (exp.f64 z) (exp.f64 -13/2))) |
Compiled 410 to 328 computations (20% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | z | @ | 0 | (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (/.f64 (exp.f64 z) (exp.f64 -13/2))) |
| 1.0ms | z | @ | -inf | (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (/.f64 (exp.f64 z) (exp.f64 -13/2))) |
| 1.0ms | z | @ | inf | (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (/.f64 (exp.f64 z) (exp.f64 -13/2))) |
| 1× | batch-egg-rewrite |
| 652× | log-prod_binary64 |
| 353× | pow2_binary64 |
| 296× | prod-diff_binary64 |
| 241× | pow1/3_binary64 |
| 239× | expm1-udef_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 18 |
| 1 | 277 | 18 |
| 2 | 3834 | 18 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (/.f64 (exp.f64 z) (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 -13/2 z))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))) (exp.f64 (-.f64 -13/2 z)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))) (exp.f64 (-.f64 -13/2 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))) (exp.f64 (-.f64 -13/2 z))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))) (exp.f64 (-.f64 -13/2 z))))))))) (#(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 -13/2 z))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (-.f64 -13/2 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.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 (*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (-.f64 -13/2 z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (-.f64 -13/2 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (-.f64 -13/2 z)))) (pow.f64 (cbrt.f64 (*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (-.f64 -13/2 z)))) 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 -13/2 z)))) 2) (cbrt.f64 (*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (-.f64 -13/2 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (pow.f64 (+.f64 z 13/2) 2) (+.f64 z -1/2))) (*.f64 (cbrt.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))) (exp.f64 (-.f64 -13/2 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (-.f64 -13/2 z)))) (sqrt.f64 (*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (-.f64 -13/2 z)))))))) (#(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 -13/2 z))))))) (#(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 -13/2 z)) (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 -13/2 z))))))) (#(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 (cbrt.f64 (pow.f64 (pow.f64 (+.f64 z 13/2) 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 (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) 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 (pow.f64 (+.f64 z 13/2) 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 (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 (/.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)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (pow.f64 (+.f64 z 13/2) 2) (+.f64 z -1/2))) (pow.f64 (cbrt.f64 (exp.f64 (+.f64 z 13/2))) 2)) (cbrt.f64 (*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (-.f64 -13/2 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.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)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (+.f64 z 13/2) z) (pow.f64 (cbrt.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 (/.f64 1 (sqrt.f64 (exp.f64 (+.f64 z 13/2)))) (/.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 (cbrt.f64 (pow.f64 (pow.f64 (+.f64 z 13/2) 2) (+.f64 z -1/2))) (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 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) 1) (exp.f64 (-.f64 -13/2 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (neg.f64 (exp.f64 z))) (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 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 pow.f64 (*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (-.f64 -13/2 z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (*.f64 3 (fma.f64 (+.f64 z -1/2) (log.f64 (+.f64 z 13/2)) (-.f64 -13/2 z)))) 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 -13/2 z)))) 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 -13/2 z)))) 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) (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 -13/2 z))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))) (exp.f64 (-.f64 -13/2 z))))))) (#(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 -13/2 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (exp.f64 (*.f64 3 (fma.f64 (+.f64 z -1/2) (log.f64 (+.f64 z 13/2)) (-.f64 -13/2 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (pow.f64 (+.f64 z 13/2) (+.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 -13/2 z)))))))) (#(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 -13/2 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (fma.f64 (+.f64 z -1/2) (log.f64 (+.f64 z 13/2)) (-.f64 -13/2 z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (fma.f64 (+.f64 z -1/2) (log.f64 (+.f64 z 13/2)) (-.f64 -13/2 z)) 1)))))) |
| 1× | egg-herbie |
| 443× | fma-def_binary64 |
| 338× | distribute-lft-out_binary64 |
| 318× | distribute-rgt-out_binary64 |
| 308× | sub-neg_binary64 |
| 227× | distribute-rgt-neg-out_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 67 | 520 |
| 1 | 214 | 463 |
| 2 | 783 | 409 |
| 3 | 4644 | 388 |
| 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 (log.f64 13/2) 1/13) (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) z)) |
(+.f64 (*.f64 (pow.f64 z 2) (-.f64 (+.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 (sqrt.f64 2/13) (exp.f64 -13/2))) (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (*.f64 (-.f64 (log.f64 13/2) 1/13) (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2)))))) (+.f64 (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2)) (*.f64 (-.f64 (*.f64 (-.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))) z))) |
(+.f64 (*.f64 (pow.f64 z 2) (-.f64 (+.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 (sqrt.f64 2/13) (exp.f64 -13/2))) (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (*.f64 (-.f64 (log.f64 13/2) 1/13) (*.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) (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) z) (*.f64 (-.f64 (+.f64 (*.f64 1/2 (*.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 (log.f64 13/2) 1/13) (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2))))) (+.f64 (*.f64 1/6 (*.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 (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2)) (*.f64 1/2 (-.f64 (*.f64 (-.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)))))))) (pow.f64 z 3))))) |
(/.f64 (*.f64 (pow.f64 (+.f64 13/2 z) (-.f64 z 1/2)) (exp.f64 -13/2)) (exp.f64 z)) |
(/.f64 (*.f64 (pow.f64 (+.f64 13/2 z) (-.f64 z 1/2)) (exp.f64 -13/2)) (exp.f64 z)) |
(/.f64 (*.f64 (pow.f64 (+.f64 13/2 z) (-.f64 z 1/2)) (exp.f64 -13/2)) (exp.f64 z)) |
(/.f64 (*.f64 (pow.f64 (+.f64 13/2 z) (-.f64 z 1/2)) (exp.f64 -13/2)) (exp.f64 z)) |
(/.f64 (*.f64 (exp.f64 (*.f64 -1 (*.f64 (log.f64 (-.f64 13/2 (*.f64 -1 z))) (+.f64 (*.f64 -1 z) 1/2)))) (exp.f64 -13/2)) (exp.f64 z)) |
(/.f64 (*.f64 (exp.f64 (*.f64 -1 (*.f64 (log.f64 (-.f64 13/2 (*.f64 -1 z))) (+.f64 (*.f64 -1 z) 1/2)))) (exp.f64 -13/2)) (exp.f64 z)) |
(/.f64 (*.f64 (exp.f64 (*.f64 -1 (*.f64 (log.f64 (-.f64 13/2 (*.f64 -1 z))) (+.f64 (*.f64 -1 z) 1/2)))) (exp.f64 -13/2)) (exp.f64 z)) |
(/.f64 (*.f64 (exp.f64 (*.f64 -1 (*.f64 (log.f64 (-.f64 13/2 (*.f64 -1 z))) (+.f64 (*.f64 -1 z) 1/2)))) (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 (log.f64 13/2) 1/13) (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) z)) |
(fma.f64 (sqrt.f64 2/13) (exp.f64 -13/2) (*.f64 (fma.f64 (+.f64 (log.f64 13/2) -1/13) (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2)) (neg.f64 (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2)))) z)) |
(fma.f64 (sqrt.f64 2/13) (exp.f64 -13/2) (*.f64 (*.f64 (exp.f64 -13/2) (-.f64 (*.f64 (sqrt.f64 2/13) (+.f64 (log.f64 13/2) -1/13)) (sqrt.f64 2/13))) z)) |
(fma.f64 (sqrt.f64 2/13) (exp.f64 -13/2) (*.f64 (*.f64 (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2)) (+.f64 (+.f64 (log.f64 13/2) -1/13) -1)) z)) |
(*.f64 (exp.f64 -13/2) (+.f64 (sqrt.f64 2/13) (*.f64 (*.f64 (sqrt.f64 2/13) (+.f64 (+.f64 (log.f64 13/2) -1/13) -1)) z))) |
(+.f64 (*.f64 (pow.f64 z 2) (-.f64 (+.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 (sqrt.f64 2/13) (exp.f64 -13/2))) (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (*.f64 (-.f64 (log.f64 13/2) 1/13) (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2)))))) (+.f64 (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2)) (*.f64 (-.f64 (*.f64 (-.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))) z))) |
(fma.f64 (*.f64 z z) (-.f64 (*.f64 (+.f64 (+.f64 27/169 (*.f64 1/2 (pow.f64 (+.f64 (log.f64 13/2) -1/13) 2))) 1) (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (*.f64 (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2)) (+.f64 1/2 (+.f64 (log.f64 13/2) -1/13)))) (fma.f64 (sqrt.f64 2/13) (exp.f64 -13/2) (*.f64 (fma.f64 (+.f64 (log.f64 13/2) -1/13) (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2)) (neg.f64 (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2)))) z))) |
(fma.f64 (*.f64 z z) (fma.f64 (+.f64 (*.f64 1/2 (pow.f64 (+.f64 (log.f64 13/2) -1/13) 2)) 196/169) (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2)) (*.f64 (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2)) (neg.f64 (+.f64 (+.f64 (log.f64 13/2) -1/13) 1/2)))) (fma.f64 (sqrt.f64 2/13) (exp.f64 -13/2) (*.f64 (*.f64 (exp.f64 -13/2) (-.f64 (*.f64 (sqrt.f64 2/13) (+.f64 (log.f64 13/2) -1/13)) (sqrt.f64 2/13))) z))) |
(fma.f64 (sqrt.f64 2/13) (exp.f64 -13/2) (*.f64 z (+.f64 (*.f64 (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2)) (+.f64 (+.f64 (log.f64 13/2) -1/13) -1)) (*.f64 z (*.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) 196/169) (+.f64 (log.f64 13/2) 11/26))))))) |
(fma.f64 z (*.f64 z (*.f64 (exp.f64 -13/2) (*.f64 (sqrt.f64 2/13) (-.f64 (fma.f64 1/2 (pow.f64 (+.f64 (log.f64 13/2) -1/13) 2) 196/169) (+.f64 (log.f64 13/2) 11/26))))) (*.f64 (exp.f64 -13/2) (+.f64 (sqrt.f64 2/13) (*.f64 (*.f64 (sqrt.f64 2/13) (+.f64 (+.f64 (log.f64 13/2) -1/13) -1)) z)))) |
(+.f64 (*.f64 (pow.f64 z 2) (-.f64 (+.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 (sqrt.f64 2/13) (exp.f64 -13/2))) (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (*.f64 (-.f64 (log.f64 13/2) 1/13) (*.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) (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) z) (*.f64 (-.f64 (+.f64 (*.f64 1/2 (*.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 (log.f64 13/2) 1/13) (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2))))) (+.f64 (*.f64 1/6 (*.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 (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2)) (*.f64 1/2 (-.f64 (*.f64 (-.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)))))))) (pow.f64 z 3))))) |
(fma.f64 (*.f64 z z) (-.f64 (*.f64 (+.f64 (+.f64 27/169 (*.f64 1/2 (pow.f64 (+.f64 (log.f64 13/2) -1/13) 2))) 1) (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (*.f64 (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2)) (+.f64 1/2 (+.f64 (log.f64 13/2) -1/13)))) (fma.f64 (sqrt.f64 2/13) (exp.f64 -13/2) (fma.f64 (fma.f64 (+.f64 (log.f64 13/2) -1/13) (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2)) (neg.f64 (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2)))) z (*.f64 (-.f64 (fma.f64 1/2 (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2)) (*.f64 (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2)) (+.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 (log.f64 13/2) -1/13)))) (fma.f64 1/6 (*.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))) 1) (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (*.f64 (fma.f64 (+.f64 (log.f64 13/2) -1/13) (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2)) (neg.f64 (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2)))) 1/2)))) (pow.f64 z 3))))) |
(fma.f64 (*.f64 z z) (fma.f64 (+.f64 (*.f64 1/2 (pow.f64 (+.f64 (log.f64 13/2) -1/13) 2)) 196/169) (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2)) (*.f64 (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2)) (neg.f64 (+.f64 (+.f64 (log.f64 13/2) -1/13) 1/2)))) (fma.f64 (sqrt.f64 2/13) (exp.f64 -13/2) (fma.f64 (*.f64 (exp.f64 -13/2) (-.f64 (*.f64 (sqrt.f64 2/13) (+.f64 (log.f64 13/2) -1/13)) (sqrt.f64 2/13))) z (*.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2)) (+.f64 (+.f64 (+.f64 (log.f64 13/2) -1/13) (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))) 1/2)) (fma.f64 (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2)) 1/6 (fma.f64 (+.f64 (*.f64 1/2 (pow.f64 (+.f64 (log.f64 13/2) -1/13) 2)) 196/169) (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2)) (*.f64 (*.f64 (exp.f64 -13/2) (-.f64 (*.f64 (sqrt.f64 2/13) (+.f64 (log.f64 13/2) -1/13)) (sqrt.f64 2/13))) 1/2)))) (pow.f64 z 3))))) |
(fma.f64 z (*.f64 z (*.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) 196/169) (+.f64 (log.f64 13/2) 11/26)))) (fma.f64 (*.f64 (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2)) (+.f64 (+.f64 (log.f64 13/2) -1/13) -1)) z (fma.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2)) (-.f64 (+.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)) (+.f64 (log.f64 13/2) 11/26)) (+.f64 331/1014 (*.f64 1/2 (pow.f64 (+.f64 (log.f64 13/2) -1/13) 2))))) (fma.f64 (*.f64 (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2)) (+.f64 (+.f64 (log.f64 13/2) -1/13) -1)) 1/2 (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2)))) (pow.f64 z 3) (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2))))) |
(fma.f64 z (*.f64 z (*.f64 (exp.f64 -13/2) (*.f64 (sqrt.f64 2/13) (-.f64 (fma.f64 1/2 (pow.f64 (+.f64 (log.f64 13/2) -1/13) 2) 196/169) (+.f64 (log.f64 13/2) 11/26))))) (fma.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2)) (+.f64 (+.f64 (fma.f64 1/6 (pow.f64 (+.f64 (log.f64 13/2) -1/13) 3) -82/6591) (*.f64 196/169 (+.f64 (log.f64 13/2) -1/13))) 1/3)) (*.f64 (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2)) (+.f64 (+.f64 (*.f64 (log.f64 13/2) 1/2) -1/26) (+.f64 (*.f64 1/2 (pow.f64 (+.f64 (log.f64 13/2) -1/13) 2)) 223/338)))) (pow.f64 z 3) (*.f64 (exp.f64 -13/2) (+.f64 (sqrt.f64 2/13) (*.f64 (*.f64 (sqrt.f64 2/13) (+.f64 (+.f64 (log.f64 13/2) -1/13) -1)) z))))) |
(/.f64 (*.f64 (pow.f64 (+.f64 13/2 z) (-.f64 z 1/2)) (exp.f64 -13/2)) (exp.f64 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 z -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 (*.f64 (pow.f64 (+.f64 13/2 z) (-.f64 z 1/2)) (exp.f64 -13/2)) (exp.f64 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 z -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 (*.f64 (pow.f64 (+.f64 13/2 z) (-.f64 z 1/2)) (exp.f64 -13/2)) (exp.f64 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 z -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 (*.f64 (pow.f64 (+.f64 13/2 z) (-.f64 z 1/2)) (exp.f64 -13/2)) (exp.f64 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 z -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 (*.f64 (exp.f64 (*.f64 -1 (*.f64 (log.f64 (-.f64 13/2 (*.f64 -1 z))) (+.f64 (*.f64 -1 z) 1/2)))) (exp.f64 -13/2)) (exp.f64 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 z -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 (*.f64 (exp.f64 (*.f64 -1 (*.f64 (log.f64 (-.f64 13/2 (*.f64 -1 z))) (+.f64 (*.f64 -1 z) 1/2)))) (exp.f64 -13/2)) (exp.f64 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 z -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 (*.f64 (exp.f64 (*.f64 -1 (*.f64 (log.f64 (-.f64 13/2 (*.f64 -1 z))) (+.f64 (*.f64 -1 z) 1/2)))) (exp.f64 -13/2)) (exp.f64 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 z -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 (*.f64 (exp.f64 (*.f64 -1 (*.f64 (log.f64 (-.f64 13/2 (*.f64 -1 z))) (+.f64 (*.f64 -1 z) 1/2)))) (exp.f64 -13/2)) (exp.f64 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 z -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))) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 1.0b | (sqrt.f64 (*.f64 (PI.f64) 2)) | |
| 1.1b | (exp.f64 (+.f64 z 13/2)) | |
| ✓ | 1.1b | (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) |
| 1.7b | (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))) |
Compiled 638 to 523 computations (18% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | z | @ | 0 | (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) |
| 0.0ms | z | @ | -inf | (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) |
| 0.0ms | z | @ | inf | (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) |
| 1× | batch-egg-rewrite |
| 448× | log-prod_binary64 |
| 386× | fma-def_binary64 |
| 352× | exp-prod_binary64 |
| 295× | pow-prod-down_binary64 |
| 273× | pow2_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 13 |
| 1 | 214 | 13 |
| 2 | 3119 | 13 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 45767980848377092942628957760201/100000000000000000000000000 (pow.f64 z -2)) (-.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))) (/.f64 (*.f64 9908947294301912793614221284049/6250000000000000000000000 (pow.f64 (+.f64 z 1) -2)) (-.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (/.f64 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| 1× | egg-herbie |
| 725× | distribute-neg-frac_binary64 |
| 580× | times-frac_binary64 |
| 529× | fma-def_binary64 |
| 442× | associate-*l*_binary64 |
| 386× | associate-/l/_binary64 |
Useful iterations: 5 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 38 | 180 |
| 1 | 105 | 180 |
| 2 | 243 | 180 |
| 3 | 570 | 177 |
| 4 | 1726 | 173 |
| 5 | 6946 | 171 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 6765203681218851/10000000000000 z) |
(-.f64 (*.f64 6765203681218851/10000000000000 (/.f64 1 z)) 3147848041806007/2500000000000) |
(-.f64 (+.f64 (*.f64 3147848041806007/2500000000000 z) (*.f64 6765203681218851/10000000000000 (/.f64 1 z))) 3147848041806007/2500000000000) |
(-.f64 (+.f64 (*.f64 3147848041806007/2500000000000 z) (+.f64 (*.f64 -3147848041806007/2500000000000 (pow.f64 z 2)) (*.f64 6765203681218851/10000000000000 (/.f64 1 z)))) 3147848041806007/2500000000000) |
(/.f64 -5826188486005177/10000000000000 z) |
(-.f64 (*.f64 3147848041806007/2500000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 5826188486005177/10000000000000 (/.f64 1 z))) |
(-.f64 (*.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 (+.f64 (*.f64 3147848041806007/2500000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 3147848041806007/2500000000000 (/.f64 1 (pow.f64 z 4)))) (+.f64 (*.f64 3147848041806007/2500000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 5826188486005177/10000000000000 (/.f64 1 z)))) |
(/.f64 -5826188486005177/10000000000000 z) |
(-.f64 (*.f64 3147848041806007/2500000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 5826188486005177/10000000000000 (/.f64 1 z))) |
(-.f64 (*.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 (+.f64 (*.f64 3147848041806007/2500000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 3147848041806007/2500000000000 (/.f64 1 (pow.f64 z 4)))) (+.f64 (*.f64 3147848041806007/2500000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 5826188486005177/10000000000000 (/.f64 1 z)))) |
| Outputs |
|---|
(/.f64 6765203681218851/10000000000000 z) |
(-.f64 (*.f64 6765203681218851/10000000000000 (/.f64 1 z)) 3147848041806007/2500000000000) |
(+.f64 (/.f64 6765203681218851/10000000000000 z) -3147848041806007/2500000000000) |
(-.f64 (+.f64 (*.f64 3147848041806007/2500000000000 z) (*.f64 6765203681218851/10000000000000 (/.f64 1 z))) 3147848041806007/2500000000000) |
(+.f64 (fma.f64 3147848041806007/2500000000000 z (/.f64 6765203681218851/10000000000000 z)) -3147848041806007/2500000000000) |
(+.f64 (fma.f64 z 3147848041806007/2500000000000 (/.f64 6765203681218851/10000000000000 z)) -3147848041806007/2500000000000) |
(+.f64 (/.f64 6765203681218851/10000000000000 z) (fma.f64 z 3147848041806007/2500000000000 -3147848041806007/2500000000000)) |
(-.f64 (+.f64 (*.f64 3147848041806007/2500000000000 z) (+.f64 (*.f64 -3147848041806007/2500000000000 (pow.f64 z 2)) (*.f64 6765203681218851/10000000000000 (/.f64 1 z)))) 3147848041806007/2500000000000) |
(+.f64 (fma.f64 3147848041806007/2500000000000 z (fma.f64 -3147848041806007/2500000000000 (*.f64 z z) (/.f64 6765203681218851/10000000000000 z))) -3147848041806007/2500000000000) |
(+.f64 -3147848041806007/2500000000000 (fma.f64 z 3147848041806007/2500000000000 (fma.f64 -3147848041806007/2500000000000 (*.f64 z z) (/.f64 6765203681218851/10000000000000 z)))) |
(+.f64 (fma.f64 z 3147848041806007/2500000000000 (/.f64 6765203681218851/10000000000000 z)) (fma.f64 z (*.f64 z -3147848041806007/2500000000000) -3147848041806007/2500000000000)) |
(+.f64 (/.f64 6765203681218851/10000000000000 z) (fma.f64 z (fma.f64 z -3147848041806007/2500000000000 3147848041806007/2500000000000) -3147848041806007/2500000000000)) |
(/.f64 -5826188486005177/10000000000000 z) |
(-.f64 (*.f64 3147848041806007/2500000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 5826188486005177/10000000000000 (/.f64 1 z))) |
(-.f64 (/.f64 3147848041806007/2500000000000 (*.f64 z z)) (/.f64 5826188486005177/10000000000000 z)) |
(+.f64 (/.f64 (/.f64 3147848041806007/2500000000000 z) z) (/.f64 -5826188486005177/10000000000000 z)) |
(+.f64 (/.f64 3147848041806007/2500000000000 (*.f64 z z)) (/.f64 -5826188486005177/10000000000000 z)) |
(-.f64 (/.f64 -5826188486005177/10000000000000 z) (/.f64 (/.f64 -3147848041806007/2500000000000 z) z)) |
(-.f64 (*.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 (/.f64 3147848041806007/2500000000000 (*.f64 z z)) (+.f64 (/.f64 5826188486005177/10000000000000 z) (/.f64 3147848041806007/2500000000000 (pow.f64 z 3)))) |
(+.f64 (-.f64 (/.f64 (/.f64 3147848041806007/2500000000000 z) z) (/.f64 3147848041806007/2500000000000 (pow.f64 z 3))) (/.f64 -5826188486005177/10000000000000 z)) |
(-.f64 (/.f64 (/.f64 3147848041806007/2500000000000 z) z) (-.f64 (/.f64 3147848041806007/2500000000000 (pow.f64 z 3)) (/.f64 -5826188486005177/10000000000000 z))) |
(+.f64 (/.f64 3147848041806007/2500000000000 (*.f64 z z)) (+.f64 (/.f64 -5826188486005177/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (pow.f64 z 3)))) |
(-.f64 (+.f64 (/.f64 -5826188486005177/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (pow.f64 z 3))) (/.f64 (/.f64 -3147848041806007/2500000000000 z) z)) |
(-.f64 (+.f64 (*.f64 3147848041806007/2500000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 3147848041806007/2500000000000 (/.f64 1 (pow.f64 z 4)))) (+.f64 (*.f64 3147848041806007/2500000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 5826188486005177/10000000000000 (/.f64 1 z)))) |
(+.f64 (/.f64 3147848041806007/2500000000000 (*.f64 z z)) (-.f64 (/.f64 3147848041806007/2500000000000 (pow.f64 z 4)) (+.f64 (/.f64 5826188486005177/10000000000000 z) (/.f64 3147848041806007/2500000000000 (pow.f64 z 3))))) |
(+.f64 (/.f64 (/.f64 3147848041806007/2500000000000 z) z) (-.f64 (-.f64 (/.f64 3147848041806007/2500000000000 (pow.f64 z 4)) (/.f64 3147848041806007/2500000000000 (pow.f64 z 3))) (/.f64 5826188486005177/10000000000000 z))) |
(+.f64 (-.f64 (/.f64 (/.f64 3147848041806007/2500000000000 z) z) (-.f64 (/.f64 3147848041806007/2500000000000 (pow.f64 z 3)) (/.f64 -5826188486005177/10000000000000 z))) (/.f64 3147848041806007/2500000000000 (pow.f64 z 4))) |
(+.f64 (+.f64 (/.f64 3147848041806007/2500000000000 (*.f64 z z)) (+.f64 (/.f64 -5826188486005177/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (pow.f64 z 3)))) (/.f64 3147848041806007/2500000000000 (pow.f64 z 4))) |
(+.f64 (/.f64 3147848041806007/2500000000000 (*.f64 z z)) (fma.f64 (/.f64 1 (pow.f64 z 3)) (+.f64 -3147848041806007/2500000000000 (/.f64 3147848041806007/2500000000000 z)) (/.f64 -5826188486005177/10000000000000 z))) |
(+.f64 (-.f64 (/.f64 -5826188486005177/10000000000000 z) (/.f64 (/.f64 -3147848041806007/2500000000000 z) z)) (/.f64 (+.f64 -3147848041806007/2500000000000 (/.f64 3147848041806007/2500000000000 z)) (pow.f64 z 3))) |
(/.f64 -5826188486005177/10000000000000 z) |
(-.f64 (*.f64 3147848041806007/2500000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 5826188486005177/10000000000000 (/.f64 1 z))) |
(-.f64 (/.f64 3147848041806007/2500000000000 (*.f64 z z)) (/.f64 5826188486005177/10000000000000 z)) |
(+.f64 (/.f64 (/.f64 3147848041806007/2500000000000 z) z) (/.f64 -5826188486005177/10000000000000 z)) |
(+.f64 (/.f64 3147848041806007/2500000000000 (*.f64 z z)) (/.f64 -5826188486005177/10000000000000 z)) |
(-.f64 (/.f64 -5826188486005177/10000000000000 z) (/.f64 (/.f64 -3147848041806007/2500000000000 z) z)) |
(-.f64 (*.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 (/.f64 3147848041806007/2500000000000 (*.f64 z z)) (+.f64 (/.f64 5826188486005177/10000000000000 z) (/.f64 3147848041806007/2500000000000 (pow.f64 z 3)))) |
(+.f64 (-.f64 (/.f64 (/.f64 3147848041806007/2500000000000 z) z) (/.f64 3147848041806007/2500000000000 (pow.f64 z 3))) (/.f64 -5826188486005177/10000000000000 z)) |
(-.f64 (/.f64 (/.f64 3147848041806007/2500000000000 z) z) (-.f64 (/.f64 3147848041806007/2500000000000 (pow.f64 z 3)) (/.f64 -5826188486005177/10000000000000 z))) |
(+.f64 (/.f64 3147848041806007/2500000000000 (*.f64 z z)) (+.f64 (/.f64 -5826188486005177/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (pow.f64 z 3)))) |
(-.f64 (+.f64 (/.f64 -5826188486005177/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (pow.f64 z 3))) (/.f64 (/.f64 -3147848041806007/2500000000000 z) z)) |
(-.f64 (+.f64 (*.f64 3147848041806007/2500000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 3147848041806007/2500000000000 (/.f64 1 (pow.f64 z 4)))) (+.f64 (*.f64 3147848041806007/2500000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 5826188486005177/10000000000000 (/.f64 1 z)))) |
(+.f64 (/.f64 3147848041806007/2500000000000 (*.f64 z z)) (-.f64 (/.f64 3147848041806007/2500000000000 (pow.f64 z 4)) (+.f64 (/.f64 5826188486005177/10000000000000 z) (/.f64 3147848041806007/2500000000000 (pow.f64 z 3))))) |
(+.f64 (/.f64 (/.f64 3147848041806007/2500000000000 z) z) (-.f64 (-.f64 (/.f64 3147848041806007/2500000000000 (pow.f64 z 4)) (/.f64 3147848041806007/2500000000000 (pow.f64 z 3))) (/.f64 5826188486005177/10000000000000 z))) |
(+.f64 (-.f64 (/.f64 (/.f64 3147848041806007/2500000000000 z) z) (-.f64 (/.f64 3147848041806007/2500000000000 (pow.f64 z 3)) (/.f64 -5826188486005177/10000000000000 z))) (/.f64 3147848041806007/2500000000000 (pow.f64 z 4))) |
(+.f64 (+.f64 (/.f64 3147848041806007/2500000000000 (*.f64 z z)) (+.f64 (/.f64 -5826188486005177/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (pow.f64 z 3)))) (/.f64 3147848041806007/2500000000000 (pow.f64 z 4))) |
(+.f64 (/.f64 3147848041806007/2500000000000 (*.f64 z z)) (fma.f64 (/.f64 1 (pow.f64 z 3)) (+.f64 -3147848041806007/2500000000000 (/.f64 3147848041806007/2500000000000 z)) (/.f64 -5826188486005177/10000000000000 z))) |
(+.f64 (-.f64 (/.f64 -5826188486005177/10000000000000 z) (/.f64 (/.f64 -3147848041806007/2500000000000 z) z)) (/.f64 (+.f64 -3147848041806007/2500000000000 (/.f64 3147848041806007/2500000000000 z)) (pow.f64 z 3))) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.6b | (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))) | |
| 1.0b | (sqrt.f64 (*.f64 (PI.f64) 2)) | |
| 1.1b | (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 768 to 630 computations (18% saved)
Compiled 118761 to 98293 computations (17.2% saved)
135 alts after pruning (129 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1152 | 40 | 1192 |
| Fresh | 24 | 89 | 113 |
| Picked | 1 | 0 | 1 |
| Done | 3 | 6 | 9 |
| Total | 1180 | 135 | 1315 |
| Status | Error | Program |
|---|---|---|
| 3.7b | (*.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 (-.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)))) | |
| 3.6b | (*.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))) (/.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)))) | |
| 54.9b | (*.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))))) | |
| 5.1b | (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.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 (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)))))) | |
| 3.6b | (*.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)) (/.f64 (exp.f64 z) (exp.f64 -13/2))))) | |
| 3.4b | (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (/.f64 (exp.f64 -13/2) (exp.f64 z)) (pow.f64 (-.f64 z -13/2) (-.f64 1/2 z))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (*.f64 1 (+.f64 9999999999998099/10000000000000000 (/.f64 (+.f64 z (*.f64 (-.f64 (/.f64 z -3147848041806007/2500000000000) 2500000000000/3147848041806007) 6765203681218851/10000000000000)) (*.f64 (-.f64 (/.f64 z -3147848041806007/2500000000000) 2500000000000/3147848041806007) 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 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 (exp.f64 (-.f64 (*.f64 (+.f64 z -1/2) (log.f64 (+.f64 z 13/2))) (+.f64 z 13/2)))) 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 1 (*.f64 (/.f64 (exp.f64 13/2) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))) (exp.f64 z))))) | |
| 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))))) | |
| 3.5b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (+.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))))) | |
| 6.0b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (/.f64 (fma.f64 (+.f64 19999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) (+.f64 19999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) -1) (+.f64 (+.f64 19999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) 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)) (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 (*.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)) (*.f64 (exp.f64 z) (exp.f64 13/2))))) | |
| 5.0b | (*.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 (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)))))) | |
| 3.6b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (/.f64 1 (/.f64 (*.f64 (+.f64 z 1) (+.f64 z 2)) (fma.f64 -3147848041806007/2500000000000 (+.f64 z 2) (*.f64 (+.f64 z 1) 7713234287776531/10000000000000))))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -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 (*.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))))) | |
| 3.7b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (/.f64 (+.f64 (*.f64 (+.f64 z 2) 10000000000000/7713234287776531) (*.f64 (*.f64 (+.f64 z 1) -2500000000000/3147848041806007) 1)) (*.f64 (*.f64 (+.f64 z 1) -2500000000000/3147848041806007) (*.f64 (+.f64 z 2) 10000000000000/7713234287776531)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -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 (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 (PI.f64)) (exp.f64 (-.f64 (-.f64 -13/2 z) (*.f64 (-.f64 1/2 z) (log.f64 (+.f64 z 13/2))))))) (+.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 -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))))) | |
| 4.0b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (/.f64 (fma.f64 (+.f64 19999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) (+.f64 19999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) -1) (+.f64 (+.f64 19999999999998099/10000000000000000 (+.f64 (/.f64 (+.f64 z (*.f64 (*.f64 (+.f64 z 1) -2500000000000/3147848041806007) 6765203681218851/10000000000000)) (*.f64 (*.f64 (+.f64 z 1) -2500000000000/3147848041806007) z)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) 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))))) | |
| 13.6b | (*.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))))) (cbrt.f64 (exp.f64 (*.f64 3 (fma.f64 (+.f64 z -1/2) (log.f64 (+.f64 z 13/2)) (-.f64 -13/2 z))))))) | |
| 3.5b | (*.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 9999999999998099/10000000000000000 (/.f64 (+.f64 z (*.f64 (-.f64 (/.f64 z -3147848041806007/2500000000000) 2500000000000/3147848041806007) 6765203681218851/10000000000000)) (*.f64 (-.f64 (/.f64 z -3147848041806007/2500000000000) 2500000000000/3147848041806007) 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)))) | |
| 3.2b | (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (/.f64 (exp.f64 -13/2) 1) (/.f64 (exp.f64 (neg.f64 z)) (pow.f64 (+.f64 z 13/2) (-.f64 1/2 z)))))) (+.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 (*.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 67652036812175649347802002964249/100000000000000000000000000000 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 67652036812175649347802002964249/100000000000000000000000000000 z))))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))) | |
| 3.5b | (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (neg.f64 (exp.f64 (-.f64 -13/2 z))) (/.f64 1 (neg.f64 (pow.f64 (+.f64 z 13/2) (-.f64 1/2 z))))))) (+.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 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.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))))) | |
| 3.8b | (*.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)) (/.f64 (exp.f64 z) (exp.f64 -13/2))))) | |
| 15.3b | (*.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))))) (cbrt.f64 (/.f64 (pow.f64 (+.f64 z 13/2) (*.f64 (+.f64 z -1/2) 3)) (pow.f64 (exp.f64 (+.f64 z 13/2)) 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 (/.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 (+.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)))))) | |
| 3.6b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (-.f64 (/.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) 2) (-.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))))) (/.f64 (pow.f64 (fma.f64 (/.f64 1 (+.f64 z 1)) -3147848041806007/2500000000000 (/.f64 7713234287776531/10000000000000 (+.f64 z 2))) 2) (-.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))))) | |
| 59.5b | (*.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)))) | |
| 3.7b | (*.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))))) | |
| 3.9b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (/.f64 (+.f64 (+.f64 z 2) (*.f64 (*.f64 (+.f64 z 1) -2500000000000/3147848041806007) 7713234287776531/10000000000000)) (*.f64 (*.f64 (+.f64 z 1) -2500000000000/3147848041806007) (+.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))))) | |
| 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 (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))))) | |
| 3.4b | (*.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 9999999999998099/10000000000000000 (fma.f64 (/.f64 1 (+.f64 z 1)) -3147848041806007/2500000000000 (/.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 (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))))) |
| 5.1b | (*.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 (exp.f64 (*.f64 -1 (*.f64 (log.f64 (-.f64 13/2 (*.f64 -1 z))) (+.f64 (*.f64 -1 z) 1/2)))) (pow.f64 (cbrt.f64 (exp.f64 (+.f64 13/2 z))) 3)))) | |
| 3.6b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.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))))) | |
| 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 (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)))) | |
| 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 (-.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 (+.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))))))) | |
| 4.1b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (/.f64 (fma.f64 (+.f64 19999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) (+.f64 19999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) -1) (+.f64 (+.f64 19999999999998099/10000000000000000 (+.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))) 2) (cbrt.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) 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))))) | |
| 3.4b | (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (/.f64 (exp.f64 -13/2) (exp.f64 z)) (pow.f64 (-.f64 z -13/2) (-.f64 1/2 z))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 (-.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))) 2) (/.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 -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 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (*.f64 (+.f64 (/.f64 (fma.f64 (+.f64 19999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) (+.f64 19999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) -1) (+.f64 (+.f64 19999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) 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 (exp.f64 (neg.f64 z)) (/.f64 (exp.f64 13/2) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)))))) | |
| 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 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (/.f64 (+.f64 (*.f64 3147848041806007/2500000000000 (+.f64 z 2)) (*.f64 (+.f64 (neg.f64 z) -1) 7713234287776531/10000000000000)) (*.f64 (+.f64 (neg.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)) (/.f64 (exp.f64 z) (exp.f64 -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))))) | |
| 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 (neg.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))) (exp.f64 (neg.f64 z))) (neg.f64 (exp.f64 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 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)) (*.f64 (exp.f64 z) (exp.f64 13/2))))) | |
| 3.9b | (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (*.f64 (+.f64 (-.f64 (/.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) 2) (-.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))))) (/.f64 (pow.f64 (/.f64 (+.f64 (+.f64 z 2) (*.f64 (*.f64 (+.f64 z 1) -2500000000000/3147848041806007) 7713234287776531/10000000000000)) (*.f64 (*.f64 (+.f64 z 1) -2500000000000/3147848041806007) (+.f64 z 2))) 2) (-.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))))) | |
| 3.2b | (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (/.f64 (exp.f64 -13/2) (exp.f64 z)) (pow.f64 (-.f64 z -13/2) (-.f64 1/2 z))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (fma.f64 7713234287776531/10000000000000 (/.f64 1 (-.f64 z -2)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))) (/.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 (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) 2) (-.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.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 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)) (expm1.f64 (log1p.f64 (exp.f64 (+.f64 z 13/2))))))) | |
| 3.5b | (*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 2)) 2)) (sqrt.f64 (cbrt.f64 (*.f64 (PI.f64) 2)))) (*.f64 (+.f64 (/.f64 (fma.f64 (+.f64 19999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) (+.f64 19999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) -1) (+.f64 (+.f64 19999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) 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))))) | |
| 3.3b | (*.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 9999999999998099/10000000000000000 (/.f64 (+.f64 (+.f64 z 1) (*.f64 (*.f64 z 10000000000000/6765203681218851) -3147848041806007/2500000000000)) (*.f64 (*.f64 z 10000000000000/6765203681218851) (+.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 (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))))) |
| 3.6b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (/.f64 (fma.f64 (+.f64 19999999999998099/10000000000000000 (+.f64 (/.f64 (+.f64 (+.f64 z 1) (*.f64 (*.f64 z 10000000000000/6765203681218851) -3147848041806007/2500000000000)) (*.f64 (*.f64 z 10000000000000/6765203681218851) (+.f64 z 1))) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) (+.f64 19999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) -1) (+.f64 (+.f64 19999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) 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))))) | |
| 3.9b | (*.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 9999999999998099/10000000000000000 (pow.f64 (cbrt.f64 (+.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)))) | |
| 3.7b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (/.f64 (fma.f64 (+.f64 19999999999998099/10000000000000000 (+.f64 (fma.f64 (/.f64 -3147848041806007/2500000000000 (fma.f64 z z -1)) (+.f64 z -1) (/.f64 6765203681218851/10000000000000 z)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) (+.f64 19999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) -1) (+.f64 (+.f64 19999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) 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 (*.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)))) | |
| 3.7b | (*.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)) (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 (/.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 (+.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))))) | |
| 3.8b | (*.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)) (/.f64 (exp.f64 z) (exp.f64 -13/2))))) | |
| 3.6b | (*.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)))) | |
| 4.3b | (*.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) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))) | |
| 3.4b | (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (cbrt.f64 (pow.f64 (PI.f64) 3/2)) (/.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 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 (+.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))) |
| 3.6b | (*.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 (-.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)))) | |
| 3.7b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (/.f64 (+.f64 (+.f64 z 1) (*.f64 (*.f64 (+.f64 z 2) 10000000000000/7713234287776531) -3147848041806007/2500000000000)) (*.f64 (*.f64 (+.f64 z 2) 10000000000000/7713234287776531) (+.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)) (*.f64 (exp.f64 z) (exp.f64 13/2))))) | |
| 3.2b | (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (/.f64 (exp.f64 -13/2) (exp.f64 z)) (pow.f64 (-.f64 z -13/2) (-.f64 1/2 z))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (*.f64 1 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))) (/.f64 7713234287776531/10000000000000 (-.f64 z -2)))) (/.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 (pow.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.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))))) | |
| 3.8b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (/.f64 (+.f64 (+.f64 z 1) (*.f64 (*.f64 (+.f64 z 2) 10000000000000/7713234287776531) -3147848041806007/2500000000000)) (*.f64 (*.f64 (+.f64 z 2) 10000000000000/7713234287776531) (+.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)) (/.f64 (exp.f64 z) (exp.f64 -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)) (*.f64 (exp.f64 z) (exp.f64 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 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)))) | |
| 3.8b | (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 (PI.f64)) (exp.f64 (-.f64 (-.f64 -13/2 z) (*.f64 (-.f64 1/2 z) (log.f64 (+.f64 z 13/2))))))) (+.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)))) | |
| 3.3b | (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (/.f64 (exp.f64 -13/2) (exp.f64 z)) (pow.f64 (-.f64 z -13/2) (-.f64 1/2 z))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (*.f64 1 (+.f64 9999999999998099/10000000000000000 (/.f64 (fma.f64 -6765203681218851/10000000000000 (+.f64 z 1) (*.f64 (neg.f64 z) -3147848041806007/2500000000000)) (*.f64 (neg.f64 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)))) | |
| 13.4b | (*.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 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (*.f64 (+.f64 (-.f64 (/.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) 2) (-.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.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 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))))) | |
| 13.3b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (/.f64 (fma.f64 (+.f64 19999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) (+.f64 19999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) -1) (+.f64 (+.f64 19999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) 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))))) (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 (fma.f64 (+.f64 19999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) (+.f64 19999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) -1) (+.f64 (+.f64 19999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) 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))))) (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))) 3))) | |
| 3.7b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (/.f64 (+.f64 (+.f64 z 1) (*.f64 (*.f64 (+.f64 z 2) 10000000000000/7713234287776531) -3147848041806007/2500000000000)) (*.f64 (*.f64 (+.f64 z 2) 10000000000000/7713234287776531) (+.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 (/.f64 1 (exp.f64 z)) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 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)))) | |
| 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)) (/.f64 (exp.f64 z) (exp.f64 -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)) (/.f64 (exp.f64 z) (exp.f64 -13/2))))) | |
| 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 (+.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 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)))) | |
| 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)))) | |
| 3.9b | (*.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))))) | |
| 52.9b | (*.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))))) | |
| 4.6b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (/.f64 (fma.f64 (+.f64 19999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) (+.f64 19999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) -1) (+.f64 (+.f64 19999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) 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)) (pow.f64 (E.f64) (+.f64 z 13/2))))) | |
| 3.3b | (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) 3) (/.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 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 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 (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)))) | |
| 3.7b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (/.f64 (+.f64 (*.f64 3147848041806007/2500000000000 (+.f64 z 2)) (*.f64 (+.f64 (neg.f64 z) -1) 7713234287776531/10000000000000)) (*.f64 (+.f64 (neg.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)) (*.f64 (exp.f64 z) (exp.f64 13/2))))) | |
| ✓ | 3.2b | (*.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 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)))) |
| 3.5b | (*.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)))) | |
| 3.6b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (/.f64 (fma.f64 (+.f64 19999999999998099/10000000000000000 (+.f64 (fma.f64 (/.f64 1 (+.f64 z 1)) -3147848041806007/2500000000000 (/.f64 6765203681218851/10000000000000 z)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) (+.f64 19999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) -1) (+.f64 (+.f64 19999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) 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 z 13/2) (+.f64 z -1/2)) (exp.f64 (-.f64 -13/2 z))))) | |
| 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) (+.f64 z -1/2)) (exp.f64 -13/2)) (exp.f64 z)))) | |
| 3.5b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (/.f64 (-.f64 (pow.f64 (+.f64 19999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) 3) 1) (+.f64 (*.f64 (+.f64 19999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) (+.f64 19999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))))) (+.f64 1 (*.f64 (+.f64 19999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) 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 (*.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)))) | |
| 50.0b | (*.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))))) | |
| 3.6b | (*.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))))) (exp.f64 (fma.f64 (+.f64 z -1/2) (log.f64 (+.f64 z 13/2)) (-.f64 -13/2 z))))) | |
| 3.2b | (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (/.f64 (exp.f64 -13/2) (exp.f64 z)) (pow.f64 (-.f64 z -13/2) (-.f64 1/2 z))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (*.f64 1 (+.f64 9999999999998099/10000000000000000 (fma.f64 (/.f64 1 z) 6765203681218851/10000000000000 (/.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)))) | |
| 59.7b | (*.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)))) | |
| 3.7b | (*.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) (+.f64 z -1/2)) (exp.f64 z)) (/.f64 1 (exp.f64 13/2))))) | |
| 3.5b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))) 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))))) | |
| 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 (/.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 (-.f64 (/.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) 2) (-.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))))) (/.f64 (pow.f64 (/.f64 (+.f64 (+.f64 z 1) (*.f64 (*.f64 (+.f64 z 2) 10000000000000/7713234287776531) -3147848041806007/2500000000000)) (*.f64 (*.f64 (+.f64 z 2) 10000000000000/7713234287776531) (+.f64 z 1))) 2) (-.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))))) | |
| 3.5b | (*.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 9999999999998099/10000000000000000 (fma.f64 (sqrt.f64 (/.f64 6765203681218851/10000000000000 z)) (sqrt.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 (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) 2) (-.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))))) (/.f64 (pow.f64 (/.f64 (+.f64 (+.f64 z 2) (*.f64 (*.f64 (+.f64 z 1) -2500000000000/3147848041806007) 7713234287776531/10000000000000)) (*.f64 (*.f64 (+.f64 z 1) -2500000000000/3147848041806007) (+.f64 z 2))) 2) (-.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))))) (exp.f64 (-.f64 (*.f64 (+.f64 z -1/2) (log.f64 (+.f64 z 13/2))) (+.f64 z 13/2))))) | |
| 3.5b | (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 -13/2 z))) 3) (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)))) | |
| 4.3b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (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))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 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))))) | |
| 3.3b | (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 (pow.f64 (PI.f64) 1/4) 2) (/.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 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)))) | |
| 3.6b | (*.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)) (*.f64 (exp.f64 z) (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))))) (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))))) (exp.f64 (-.f64 (fma.f64 (+.f64 z -1/2) (log.f64 (+.f64 z 13/2)) -13/2) 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))) (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)))) | |
| 3.4b | (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (/.f64 (exp.f64 -13/2) (exp.f64 z)) (pow.f64 (-.f64 z -13/2) (-.f64 1/2 z))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 (+.f64 (*.f64 (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (pow.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) 2)) (-.f64 z -2)) (*.f64 (-.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))) 7713234287776531/10000000000000)) (*.f64 (-.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))) (-.f64 z -2))) (/.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 (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))))) (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 (*.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 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (fma.f64 -3147848041806007/2500000000000 (/.f64 1 (+.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))))) | |
| 50.0b | (*.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 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (/.f64 (+.f64 (+.f64 z 2) (*.f64 (*.f64 (+.f64 z 1) -2500000000000/3147848041806007) 7713234287776531/10000000000000)) (*.f64 (*.f64 (+.f64 z 1) -2500000000000/3147848041806007) (+.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))))) | |
| 5.8b | (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 -13/2 z)) 2)) (cbrt.f64 (-.f64 -13/2 z))) (pow.f64 (-.f64 z -13/2) (-.f64 1/2 z))))) (+.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 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))))) |
| 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))))) | |
| 3.5b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (/.f64 (fma.f64 (+.f64 19999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) (+.f64 19999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) -1) (+.f64 (+.f64 19999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) 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 13/2 z) (+.f64 z -1/2)) (exp.f64 (-.f64 -13/2 z))))) | |
| 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 (/.f64 (pow.f64 (+.f64 z 13/2) z) (exp.f64 z)) (/.f64 (pow.f64 (+.f64 z 13/2) -1/2) (exp.f64 13/2))))) | |
| 63.1b | (*.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))))) (exp.f64 (-.f64 (*.f64 (+.f64 z -1/2) (log.f64 (+.f64 z 13/2))) (+.f64 z 13/2))))) | |
| 4.1b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (/.f64 (fma.f64 (+.f64 19999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) (+.f64 19999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) -1) (+.f64 (+.f64 19999999999998099/10000000000000000 (+.f64 (/.f64 1 (/.f64 (-.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (-.f64 (*.f64 45767980848377092942628957760201/100000000000000000000000000 (pow.f64 z -2)) (*.f64 9908947294301912793614221284049/6250000000000000000000000 (pow.f64 (+.f64 z 1) -2))))) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) 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))))) | |
| 3.9b | (*.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 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)))) |
Compiled 11289 to 9547 computations (15.4% 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 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))))) |
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(*.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 (*.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 (*.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 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 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 -13/2 z))))) |
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(*.f64 (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (pow.f64 (+.f64 z 13/2) (-.f64 1/2 z))) 2)) (/.f64 (exp.f64 (-.f64 -13/2 z)) (cbrt.f64 (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)))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (-.f64 (/.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) 2) (-.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.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 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 (exp.f64 (sqrt.f64 (+.f64 z 13/2))) (sqrt.f64 (+.f64 z 13/2)))))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (/.f64 (fma.f64 (+.f64 19999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) (+.f64 19999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) -1) (+.f64 (+.f64 19999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) 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)) (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (+.f64 z 13/2)) 2)) (cbrt.f64 (+.f64 z 13/2)))))) |
(*.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)) (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (+.f64 z 13/2)) 2)) (cbrt.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 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))))) |
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 2)) 2)) (sqrt.f64 (cbrt.f64 (*.f64 (PI.f64) 2)))) (*.f64 (+.f64 (/.f64 (fma.f64 (+.f64 19999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) (+.f64 19999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) -1) (+.f64 (+.f64 19999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) 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))))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (/.f64 (+.f64 (*.f64 (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (*.f64 z z))) (-.f64 (+.f64 (/.f64 9908947294301912793614221284049/6250000000000000000000000 (pow.f64 (+.f64 z 1) 2)) (/.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 (/.f64 -31191860336727207531769765603776766852501482343/15625000000000000000000000000000000000 (pow.f64 (+.f64 z 1) 3)) (/.f64 458891030965964263706993392018425544321343929291/1000000000000000000000000000000000000000 (pow.f64 (+.f64 z 2) 3))))) (*.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (-.f64 (+.f64 (/.f64 9908947294301912793614221284049/6250000000000000000000000 (pow.f64 (+.f64 z 1) 2)) (/.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 (-.f64 (/.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) 2) (-.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.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 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 (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 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))) 1/6) (*.f64 (pow.f64 (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))) 1/6) (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))) 2))))) |
(*.f64 (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 (PI.f64)) (+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (exp.f64 (-.f64 -13/2 z)) (pow.f64 (+.f64 z 13/2) (-.f64 1/2 z)))))) (log.f64 (sqrt.f64 (exp.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)))) |
| Outputs |
|---|
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 2)) 2)) (sqrt.f64 (cbrt.f64 (*.f64 (PI.f64) 2)))) (*.f64 (+.f64 (/.f64 (fma.f64 (+.f64 19999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) (+.f64 19999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) -1) (+.f64 (+.f64 19999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) 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))))) |
(*.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 -13/2 z))))) |
4 calls:
| 667.0ms | (*.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)))) |
| 434.0ms | (-.f64 z 1) |
| 430.0ms | z |
| 377.0ms | (-.f64 z 1) |
| Error | Segments | Branch |
|---|---|---|
| 2.2b | 2 | z |
| 2.2b | 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)))) |
| 2.2b | 2 | (-.f64 z 1) |
| 2.2b | 2 | (-.f64 z 1) |
Compiled 18836 to 15578 computations (17.3% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 136.95860789399822 | 144.4159245733129 |
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)))) |
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(*.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))))) |
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(*.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) (pow.f64 (cbrt.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))))))) |
(*.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) (pow.f64 (cbrt.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))))))) |
(*.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))))) |
(*.f64 (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 -13/2 z)) 2)) (cbrt.f64 (-.f64 -13/2 z))) (pow.f64 (-.f64 z -13/2) (-.f64 1/2 z))))) (+.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 (sqrt.f64 2) (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (pow.f64 (+.f64 z 13/2) (-.f64 1/2 z))) 2)) (/.f64 (exp.f64 (-.f64 -13/2 z)) (cbrt.f64 (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)))) |
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(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (/.f64 (fma.f64 (+.f64 19999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) (+.f64 19999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) -1) (+.f64 (+.f64 19999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) 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)) (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (+.f64 z 13/2)) 2)) (cbrt.f64 (+.f64 z 13/2)))))) |
(*.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)) (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (+.f64 z 13/2)) 2)) (cbrt.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 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))))) |
| Outputs |
|---|
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))) 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 (+.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 -13/2 z))))) |
4 calls:
| 414.0ms | (*.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)))) |
| 408.0ms | (-.f64 z 1) |
| 405.0ms | (-.f64 z 1) |
| 365.0ms | z |
| Error | Segments | Branch |
|---|---|---|
| 2.2b | 2 | z |
| 2.2b | 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)))) |
| 2.2b | 2 | (-.f64 z 1) |
| 2.2b | 2 | (-.f64 z 1) |
Compiled 18273 to 15111 computations (17.3% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 136.95860789399822 | 144.4159245733129 |
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 (/.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))))) |
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(*.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))))) |
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(*.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 (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 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))) |
(*.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 (*.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)))) |
(*.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)))) |
(*.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)))) |
| Outputs |
|---|
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))) 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 (+.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:
| 43.0ms | z |
| 42.0ms | (*.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)))) |
| 35.0ms | (-.f64 z 1) |
| Error | Segments | Branch |
|---|---|---|
| 2.2b | 2 | z |
| 2.2b | 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)))) |
| 2.2b | 2 | (-.f64 z 1) |
Compiled 2702 to 2257 computations (16.5% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 136.95860789399822 | 144.4159245733129 |
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 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 (*.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 (*.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 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 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 -13/2 z))))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (+.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))))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.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 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.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))))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))) 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 (+.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 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))) 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))))) |
1 calls:
| 14.0ms | z |
| Error | Segments | Branch |
|---|---|---|
| 3.5b | 1 | z |
Compiled 1324 to 1091 computations (17.6% 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)))) |
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(*.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))))) |
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(*.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 (*.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 (*.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 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 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 -13/2 z))))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (+.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))))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.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 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.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))))) |
| Outputs |
|---|
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (+.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))))) |
1 calls:
| 12.0ms | z |
| Error | Segments | Branch |
|---|---|---|
| 3.5b | 1 | z |
Compiled 1129 to 932 computations (17.4% 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 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 (*.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 (*.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 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 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 -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 z 13/2) (+.f64 z -1/2)) (exp.f64 (-.f64 -13/2 z))))) |
1 calls:
| 11.0ms | z |
| Error | Segments | Branch |
|---|---|---|
| 3.7b | 1 | z |
Compiled 934 to 773 computations (17.2% 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 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 (*.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 (*.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 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))))) |
| 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:
| 19.0ms | z |
| Error | Segments | Branch |
|---|---|---|
| 48.9b | 2 | z |
Compiled 869 to 720 computations (17.1% saved)
| 1× | binary-search |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 11.070693314486336 | 11.17543022298478 |
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 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 (*.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 (*.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))))) |
1 calls:
| 9.0ms | z |
| Error | Segments | Branch |
|---|---|---|
| 50.0b | 1 | z |
Compiled 810 to 674 computations (16.8% 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))))) |
(*.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 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:
| 9.0ms | z |
| Error | Segments | Branch |
|---|---|---|
| 53.4b | 1 | z |
Compiled 526 to 441 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))))) |
| 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:
| 14.0ms | z |
| Error | Segments | Branch |
|---|---|---|
| 56.2b | 2 | z |
Compiled 424 to 359 computations (15.3% saved)
| 1× | binary-search |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 2.9836924227910706 | 3.0640345538918314 |
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:
| 5.0ms | z |
| Error | Segments | Branch |
|---|---|---|
| 59.7b | 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:
| 4.0ms | 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:
| 4.0ms | z |
| Error | Segments | Branch |
|---|---|---|
| 63.1b | 1 | z |
Compiled 111 to 97 computations (12.6% saved)
| 1× | egg-herbie |
| 54× | +-commutative_binary64 |
| 35× | *-commutative_binary64 |
| 7× | sub-neg_binary64 |
| 2× | distribute-neg-in_binary64 |
| 2× | neg-sub0_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 163 | 1708 |
| 1 | 258 | 1708 |
| 2 | 269 | 1708 |
| 3 | 273 | 1708 |
| 4 | 275 | 1708 |
| 1× | fuel |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 (-.f64 z 1) 140) (*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 2)) 2)) (sqrt.f64 (cbrt.f64 (*.f64 (PI.f64) 2)))) (*.f64 (+.f64 (/.f64 (fma.f64 (+.f64 19999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) (+.f64 19999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) -1) (+.f64 (+.f64 19999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) 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))))) (*.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 -13/2 z)))))) |
(if (<=.f64 (-.f64 z 1) 140) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))) 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 (+.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 -13/2 z)))))) |
(if (<=.f64 (-.f64 z 1) 140) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))) 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 (+.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 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))) 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 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (+.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))))) |
(*.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 -13/2 z))))) |
(if (<=.f64 z 6248744482976563/562949953421312) (*.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 3) (*.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) 140) (*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 2)) 2)) (sqrt.f64 (cbrt.f64 (*.f64 (PI.f64) 2)))) (*.f64 (+.f64 (/.f64 (fma.f64 (+.f64 19999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) (+.f64 19999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) -1) (+.f64 (+.f64 19999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) 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))))) (*.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 -13/2 z)))))) |
(if (<=.f64 (+.f64 z -1) 140) (*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 2)) 2)) (sqrt.f64 (cbrt.f64 (*.f64 (PI.f64) 2)))) (*.f64 (+.f64 (/.f64 (fma.f64 (+.f64 19999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) (+.f64 19999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) -1) (+.f64 1 (+.f64 19999999999998099/10000000000000000 (+.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))))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.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 (+.f64 (/.f64 6765203681218851/10000000000000 z) 9999999999998099/10000000000000000) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))))) (exp.f64 (fma.f64 (+.f64 z -1/2) (log.f64 (+.f64 z 13/2)) (-.f64 -13/2 z)))))) |
(if (<=.f64 (-.f64 z 1) 140) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))) 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 (+.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 -13/2 z)))))) |
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(*.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 3) (*.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 3) (*.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 1130 to 947 computations (16.2% 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 1117 to 920 computations (17.6% saved)
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