Time bar (total: 1.3min)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 74.9% | 25.1% | 0% | 0% | 0% | 0 |
| 0% | 0% | 74.9% | 25.1% | 0% | 0% | 0% | 1 |
| 0% | 0% | 74.9% | 25.1% | 0% | 0% | 0% | 2 |
| 25% | 18.7% | 56.2% | 25.1% | 0% | 0% | 0% | 3 |
| 50% | 37.5% | 37.5% | 25.1% | 0% | 0% | 0% | 4 |
| 56.3% | 42.1% | 32.8% | 25.1% | 0% | 0% | 0% | 5 |
| 62.5% | 46.8% | 28.1% | 25.1% | 0% | 0% | 0% | 6 |
| 64.1% | 48% | 26.9% | 25.1% | 0% | 0% | 0% | 7 |
| 65.6% | 49.2% | 25.8% | 25.1% | 0% | 0% | 0% | 8 |
| 66% | 49.5% | 25.5% | 25.1% | 0% | 0% | 0% | 9 |
| 66.4% | 49.8% | 25.2% | 25.1% | 0% | 0% | 0% | 10 |
| 66.4% | 49.8% | 25.2% | 25.1% | 0% | 0% | 0% | 11 |
| 66.5% | 49.8% | 25.1% | 25.1% | 0% | 0% | 0% | 12 |
Compiled 127 to 112 computations (11.8% saved)
| 53.5s | 3933× | body | 8192 | exit |
| 5.3s | 8256× | body | 256 | valid |
| 54.0ms | 106× | body | 256 | infinite |
| 47.0ms | 83× | body | 256 | unsamplable |
| 2× | egg-herbie |
| 503× | associate-/r*_binary64 |
| 345× | associate-/l*_binary64 |
| 337× | associate-+l+_binary64 |
| 288× | associate-+r+_binary64 |
| 271× | distribute-rgt-in_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 61 | 156 |
| 1 | 160 | 147 |
| 2 | 639 | 119 |
| 3 | 4381 | 115 |
| 0 | 1 | 1 |
| 1× | saturated |
| 1× | node limit |
| Inputs |
|---|
0 |
| Outputs |
|---|
0 |
| Inputs |
|---|
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2) (+.f64 (-.f64 (-.f64 1 z) 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 8))))) |
| Outputs |
|---|
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2) (+.f64 (-.f64 (-.f64 1 z) 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 8))))) |
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 1 z) -1) 15/2) (-.f64 (-.f64 1 z) 1/2))) (exp.f64 (+.f64 (neg.f64 (-.f64 (-.f64 1 z) -6)) -1/2))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 (-.f64 1 z) 0))) (/.f64 -3147848041806007/2500000000000 (-.f64 (-.f64 1 z) -1))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 (-.f64 1 z) -2)) (/.f64 -883075145810703/5000000000000 (-.f64 (-.f64 1 z) -3)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 (-.f64 1 z) -4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 (-.f64 1 z) -5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 (-.f64 1 z) -6)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 (-.f64 1 z) -7)))))) |
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2)))) (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))))) |
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2)))))) |
Compiled 125 to 111 computations (11.2% saved)
| 1× | egg-herbie |
| 503× | associate-/r*_binary64 |
| 345× | associate-/l*_binary64 |
| 337× | associate-+l+_binary64 |
| 288× | associate-+r+_binary64 |
| 271× | distribute-rgt-in_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 61 | 156 |
| 1 | 160 | 147 |
| 2 | 639 | 119 |
| 3 | 4381 | 115 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2) (+.f64 (-.f64 (-.f64 1 z) 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 8))))) |
| Outputs |
|---|
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2) (+.f64 (-.f64 (-.f64 1 z) 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 8))))) |
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 1 z) -1) 15/2) (-.f64 (-.f64 1 z) 1/2))) (exp.f64 (+.f64 (neg.f64 (-.f64 (-.f64 1 z) -6)) -1/2))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 (-.f64 1 z) 0))) (/.f64 -3147848041806007/2500000000000 (-.f64 (-.f64 1 z) -1))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 (-.f64 1 z) -2)) (/.f64 -883075145810703/5000000000000 (-.f64 (-.f64 1 z) -3)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 (-.f64 1 z) -4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 (-.f64 1 z) -5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 (-.f64 1 z) -6)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 (-.f64 1 z) -7)))))) |
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2)))) (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))))) |
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2)))))) |
Compiled 470 to 383 computations (18.5% saved)
6 alts after pruning (6 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 0 | 5 | 5 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 0 | 0 |
| Total | 0 | 6 | 6 |
| Status | Error | Program |
|---|---|---|
| ▶ | 1.6b | (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2) (+.f64 (-.f64 (-.f64 1 z) 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 8))))) |
| ▶ | 0.5b | (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 1 z) -1) 15/2) (-.f64 (-.f64 1 z) 1/2))) (exp.f64 (+.f64 (neg.f64 (-.f64 (-.f64 1 z) -6)) -1/2))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 (-.f64 1 z) 0))) (/.f64 -3147848041806007/2500000000000 (-.f64 (-.f64 1 z) -1))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 (-.f64 1 z) -2)) (/.f64 -883075145810703/5000000000000 (-.f64 (-.f64 1 z) -3)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 (-.f64 1 z) -4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 (-.f64 1 z) -5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 (-.f64 1 z) -6)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 (-.f64 1 z) -7)))))) |
| ▶ | 1.0b | (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))) |
| ▶ | 0.5b | (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2)))) (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))))) |
| ▶ | 0.7b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2)))))) |
Compiled 948 to 806 computations (15% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 1.0b | (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 (-.f64 1 z) -2)) (/.f64 -883075145810703/5000000000000 (-.f64 (-.f64 1 z) -3))) |
| ✓ | 1.0b | (sqrt.f64 (*.f64 (PI.f64) 2)) |
| ✓ | 2.8b | (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 (-.f64 1 z) 0))) (/.f64 -3147848041806007/2500000000000 (-.f64 (-.f64 1 z) -1))) |
| ✓ | 7.7b | (+.f64 (-.f64 1 z) -1) |
Compiled 656 to 554 computations (15.5% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | z | @ | 0 | (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 (-.f64 1 z) 0))) (/.f64 -3147848041806007/2500000000000 (-.f64 (-.f64 1 z) -1))) |
| 1.0ms | z | @ | inf | (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 (-.f64 1 z) -2)) (/.f64 -883075145810703/5000000000000 (-.f64 (-.f64 1 z) -3))) |
| 1.0ms | z | @ | -inf | (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 (-.f64 1 z) -2)) (/.f64 -883075145810703/5000000000000 (-.f64 (-.f64 1 z) -3))) |
| 1.0ms | z | @ | -inf | (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 (-.f64 1 z) 0))) (/.f64 -3147848041806007/2500000000000 (-.f64 (-.f64 1 z) -1))) |
| 0.0ms | z | @ | inf | (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 (-.f64 1 z) 0))) (/.f64 -3147848041806007/2500000000000 (-.f64 (-.f64 1 z) -1))) |
| 1× | batch-egg-rewrite |
| 339× | add-sqr-sqrt_binary64 |
| 321× | add-cbrt-cube_binary64 |
| 320× | add-exp-log_binary64 |
| 320× | add-log-exp_binary64 |
| 319× | add-cube-cbrt_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 29 | 58 |
| 1 | 703 | 58 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 (-.f64 1 z) -1) |
(+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 (-.f64 1 z) 0))) (/.f64 -3147848041806007/2500000000000 (-.f64 (-.f64 1 z) -1))) |
(sqrt.f64 (*.f64 (PI.f64) 2)) |
(+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 (-.f64 1 z) -2)) (/.f64 -883075145810703/5000000000000 (-.f64 (-.f64 1 z) -3))) |
| Outputs |
|---|
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| 1× | egg-herbie |
| 555× | unswap-sqr_binary64 |
| 265× | div-sub_binary64 |
| 251× | distribute-rgt-in_binary64 |
| 244× | times-frac_binary64 |
| 234× | distribute-lft-in_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 524 | 4345 |
| 1 | 1448 | 3709 |
| 2 | 5045 | 3681 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -1 z) |
(*.f64 -1 z) |
(*.f64 -1 z) |
(*.f64 -1 z) |
(*.f64 -1 z) |
(*.f64 -1 z) |
(*.f64 -1 z) |
(*.f64 -1 z) |
(*.f64 -1 z) |
(*.f64 -1 z) |
(*.f64 -1 z) |
(*.f64 -1 z) |
479507597606835099/10000000000000000 |
(+.f64 479507597606835099/10000000000000000 (*.f64 904338909853211/2500000000000 z)) |
(+.f64 (*.f64 2076511864126339/4000000000000 (pow.f64 z 2)) (+.f64 479507597606835099/10000000000000000 (*.f64 904338909853211/2500000000000 z))) |
(+.f64 (*.f64 2076511864126339/4000000000000 (pow.f64 z 2)) (+.f64 (*.f64 23912966683069397/40000000000000 (pow.f64 z 3)) (+.f64 479507597606835099/10000000000000000 (*.f64 904338909853211/2500000000000 z)))) |
9999999999998099/10000000000000000 |
(+.f64 9999999999998099/10000000000000000 (*.f64 5826188486005177/10000000000000 (/.f64 1 z))) |
(+.f64 (*.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 9999999999998099/10000000000000000 (*.f64 5826188486005177/10000000000000 (/.f64 1 z)))) |
(+.f64 (*.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 9999999999998099/10000000000000000 (+.f64 (*.f64 5826188486005177/10000000000000 (/.f64 1 z)) (*.f64 43600364987677261/10000000000000 (/.f64 1 (pow.f64 z 3)))))) |
9999999999998099/10000000000000000 |
(+.f64 9999999999998099/10000000000000000 (*.f64 5826188486005177/10000000000000 (/.f64 1 z))) |
(+.f64 (*.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 9999999999998099/10000000000000000 (*.f64 5826188486005177/10000000000000 (/.f64 1 z)))) |
(+.f64 (*.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 9999999999998099/10000000000000000 (+.f64 (*.f64 5826188486005177/10000000000000 (/.f64 1 z)) (*.f64 43600364987677261/10000000000000 (/.f64 1 (pow.f64 z 3)))))) |
12777243138120953/60000000000000 |
(+.f64 12777243138120953/60000000000000 (*.f64 53758197989915921/720000000000000 z)) |
(+.f64 12777243138120953/60000000000000 (+.f64 (*.f64 222980468271960011/8640000000000000 (pow.f64 z 2)) (*.f64 53758197989915921/720000000000000 z))) |
(+.f64 12777243138120953/60000000000000 (+.f64 (*.f64 36630596080989161/4147200000000000 (pow.f64 z 3)) (+.f64 (*.f64 222980468271960011/8640000000000000 (pow.f64 z 2)) (*.f64 53758197989915921/720000000000000 z)))) |
(/.f64 -47576671969241/80000000000 z) |
(neg.f64 (+.f64 (*.f64 16075101696843969/10000000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 47576671969241/80000000000 (/.f64 1 z)))) |
(neg.f64 (+.f64 (*.f64 16075101696843969/10000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (*.f64 47576671969241/80000000000 (/.f64 1 z)) (*.f64 41160703924046283/10000000000000 (/.f64 1 (pow.f64 z 3)))))) |
(neg.f64 (+.f64 (*.f64 16075101696843969/10000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (*.f64 95223707106196353/10000000000000 (/.f64 1 (pow.f64 z 4))) (+.f64 (*.f64 47576671969241/80000000000 (/.f64 1 z)) (*.f64 41160703924046283/10000000000000 (/.f64 1 (pow.f64 z 3))))))) |
(/.f64 -47576671969241/80000000000 z) |
(neg.f64 (+.f64 (*.f64 16075101696843969/10000000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 47576671969241/80000000000 (/.f64 1 z)))) |
(neg.f64 (+.f64 (*.f64 16075101696843969/10000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (*.f64 47576671969241/80000000000 (/.f64 1 z)) (*.f64 41160703924046283/10000000000000 (/.f64 1 (pow.f64 z 3)))))) |
(neg.f64 (+.f64 (*.f64 16075101696843969/10000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (*.f64 95223707106196353/10000000000000 (/.f64 1 (pow.f64 z 4))) (+.f64 (*.f64 47576671969241/80000000000 (/.f64 1 z)) (*.f64 41160703924046283/10000000000000 (/.f64 1 (pow.f64 z 3))))))) |
(-.f64 1 (-.f64 z -1)) |
(-.f64 (exp.f64 (log1p.f64 (+.f64 (-.f64 1 z) -1))) 1) |
(-.f64 (/.f64 (pow.f64 (-.f64 1 z) 2) (+.f64 (-.f64 1 z) 1)) (/.f64 1 (+.f64 (-.f64 1 z) 1))) |
(*.f64 1 (+.f64 (-.f64 1 z) -1)) |
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (-.f64 1 z) -1)) 2) (cbrt.f64 (+.f64 (-.f64 1 z) -1))) |
(*.f64 (sqrt.f64 (+.f64 (-.f64 1 z) -1)) (sqrt.f64 (+.f64 (-.f64 1 z) -1))) |
(/.f64 (+.f64 (pow.f64 (-.f64 1 z) 3) -1) (+.f64 (pow.f64 (-.f64 1 z) 2) (-.f64 1 (*.f64 (-.f64 1 z) -1)))) |
(/.f64 (-.f64 (pow.f64 (-.f64 1 z) 2) 1) (+.f64 (-.f64 1 z) 1)) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (-.f64 1 z) 3) -1)) (neg.f64 (+.f64 (pow.f64 (-.f64 1 z) 2) (-.f64 1 (*.f64 (-.f64 1 z) -1))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 1 z) 2) 1)) (neg.f64 (+.f64 (-.f64 1 z) 1))) |
(/.f64 (-.f64 1 (pow.f64 (-.f64 z -1) 3)) (+.f64 1 (+.f64 (*.f64 (-.f64 z -1) (-.f64 z -1)) (-.f64 z -1)))) |
(/.f64 (+.f64 -1 (pow.f64 (-.f64 1 z) 3)) (+.f64 1 (-.f64 (pow.f64 (-.f64 1 z) 2) (*.f64 -1 (-.f64 1 z))))) |
(pow.f64 (+.f64 (-.f64 1 z) -1) 1) |
(pow.f64 (pow.f64 (+.f64 (-.f64 1 z) -1) 3) 1/3) |
(pow.f64 (cbrt.f64 (+.f64 (-.f64 1 z) -1)) 3) |
(pow.f64 (sqrt.f64 (+.f64 (-.f64 1 z) -1)) 2) |
(sqrt.f64 (pow.f64 (+.f64 (-.f64 1 z) -1) 2)) |
(log.f64 (exp.f64 (+.f64 (-.f64 1 z) -1))) |
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (-.f64 1 z) -1)))) |
(cbrt.f64 (pow.f64 (+.f64 (-.f64 1 z) -1) 3)) |
(expm1.f64 (log1p.f64 (+.f64 (-.f64 1 z) -1))) |
(log1p.f64 (expm1.f64 (+.f64 (-.f64 1 z) -1))) |
(exp.f64 (log.f64 (+.f64 (-.f64 1 z) -1))) |
(exp.f64 (*.f64 (log.f64 (+.f64 (-.f64 1 z) -1)) 1)) |
(fma.f64 1 (-.f64 1 z) -1) |
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 1 z)) 2) (cbrt.f64 (-.f64 1 z)) -1) |
(fma.f64 (sqrt.f64 (-.f64 1 z)) (sqrt.f64 (-.f64 1 z)) -1) |
(-.f64 (exp.f64 (log1p.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1))))) 1) |
(-.f64 (/.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) 2) (-.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)))) (/.f64 (/.f64 9908947294301912793614221284049/6250000000000000000000000 (pow.f64 (+.f64 (-.f64 1 z) 1) 2)) (-.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1))))) |
(*.f64 1 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)))) |
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)))) 2) (cbrt.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1))))) |
(*.f64 (sqrt.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)))) (sqrt.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1))))) |
(/.f64 (+.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) 3) (pow.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)) 3)) (+.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) 2) (-.f64 (/.f64 9908947294301912793614221284049/6250000000000000000000000 (pow.f64 (+.f64 (-.f64 1 z) 1) 2)) (*.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)))))) |
(/.f64 (-.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) 2) (/.f64 9908947294301912793614221284049/6250000000000000000000000 (pow.f64 (+.f64 (-.f64 1 z) 1) 2))) (-.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) 3) (pow.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)) 3))) (neg.f64 (+.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) 2) (-.f64 (/.f64 9908947294301912793614221284049/6250000000000000000000000 (pow.f64 (+.f64 (-.f64 1 z) 1) 2)) (*.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1))))))) |
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(/.f64 (+.f64 (-.f64 -5000000000000/883075145810703 (/.f64 (+.f64 z -3) -883075145810703/5000000000000)) (*.f64 (-.f64 (/.f64 (-.f64 1 z) 7713234287776531/10000000000000) -20000000000000/7713234287776531) 1)) (*.f64 (-.f64 (/.f64 (-.f64 1 z) 7713234287776531/10000000000000) -20000000000000/7713234287776531) (-.f64 -5000000000000/883075145810703 (/.f64 (+.f64 z -3) -883075145810703/5000000000000)))) |
(/.f64 (+.f64 (*.f64 7713234287776531/10000000000000 (-.f64 -5000000000000/883075145810703 (/.f64 (+.f64 z -3) -883075145810703/5000000000000))) (*.f64 (+.f64 (-.f64 1 z) 2) 1)) (*.f64 (+.f64 (-.f64 1 z) 2) (-.f64 -5000000000000/883075145810703 (/.f64 (+.f64 z -3) -883075145810703/5000000000000)))) |
(/.f64 (+.f64 (*.f64 -7713234287776531/10000000000000 (-.f64 -5000000000000/883075145810703 (/.f64 (+.f64 z -3) -883075145810703/5000000000000))) (*.f64 (neg.f64 (+.f64 (-.f64 1 z) 2)) 1)) (*.f64 (neg.f64 (+.f64 (-.f64 1 z) 2)) (-.f64 -5000000000000/883075145810703 (/.f64 (+.f64 z -3) -883075145810703/5000000000000)))) |
(/.f64 (+.f64 (+.f64 (-.f64 1 z) 3) (*.f64 (-.f64 (/.f64 (-.f64 1 z) 7713234287776531/10000000000000) -20000000000000/7713234287776531) -883075145810703/5000000000000)) (*.f64 (-.f64 (/.f64 (-.f64 1 z) 7713234287776531/10000000000000) -20000000000000/7713234287776531) (+.f64 (-.f64 1 z) 3))) |
(/.f64 (+.f64 (*.f64 -7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 3)) (*.f64 (neg.f64 (+.f64 (-.f64 1 z) 2)) -883075145810703/5000000000000)) (*.f64 (neg.f64 (+.f64 (-.f64 1 z) 2)) (+.f64 (-.f64 1 z) 3))) |
(/.f64 (+.f64 (neg.f64 (+.f64 (-.f64 1 z) 3)) (*.f64 (-.f64 (/.f64 (-.f64 1 z) 7713234287776531/10000000000000) -20000000000000/7713234287776531) 883075145810703/5000000000000)) (*.f64 (-.f64 (/.f64 (-.f64 1 z) 7713234287776531/10000000000000) -20000000000000/7713234287776531) (neg.f64 (+.f64 (-.f64 1 z) 3)))) |
(/.f64 (+.f64 (*.f64 7713234287776531/10000000000000 (neg.f64 (+.f64 (-.f64 1 z) 3))) (*.f64 (+.f64 (-.f64 1 z) 2) 883075145810703/5000000000000)) (*.f64 (+.f64 (-.f64 1 z) 2) (neg.f64 (+.f64 (-.f64 1 z) 3)))) |
(/.f64 (+.f64 (*.f64 -7713234287776531/10000000000000 (neg.f64 (+.f64 (-.f64 1 z) 3))) (*.f64 (neg.f64 (+.f64 (-.f64 1 z) 2)) 883075145810703/5000000000000)) (*.f64 (neg.f64 (+.f64 (-.f64 1 z) 2)) (neg.f64 (+.f64 (-.f64 1 z) 3)))) |
(/.f64 (+.f64 (-.f64 (/.f64 (-.f64 1 z) 7713234287776531/10000000000000) -20000000000000/7713234287776531) (*.f64 (-.f64 -5000000000000/883075145810703 (/.f64 (+.f64 z -3) -883075145810703/5000000000000)) 1)) (*.f64 (-.f64 -5000000000000/883075145810703 (/.f64 (+.f64 z -3) -883075145810703/5000000000000)) (-.f64 (/.f64 (-.f64 1 z) 7713234287776531/10000000000000) -20000000000000/7713234287776531))) |
(/.f64 (+.f64 (*.f64 -883075145810703/5000000000000 (-.f64 (/.f64 (-.f64 1 z) 7713234287776531/10000000000000) -20000000000000/7713234287776531)) (*.f64 (+.f64 (-.f64 1 z) 3) 1)) (*.f64 (+.f64 (-.f64 1 z) 3) (-.f64 (/.f64 (-.f64 1 z) 7713234287776531/10000000000000) -20000000000000/7713234287776531))) |
(/.f64 (+.f64 (*.f64 883075145810703/5000000000000 (-.f64 (/.f64 (-.f64 1 z) 7713234287776531/10000000000000) -20000000000000/7713234287776531)) (*.f64 (neg.f64 (+.f64 (-.f64 1 z) 3)) 1)) (*.f64 (neg.f64 (+.f64 (-.f64 1 z) 3)) (-.f64 (/.f64 (-.f64 1 z) 7713234287776531/10000000000000) -20000000000000/7713234287776531))) |
(/.f64 (+.f64 (+.f64 (-.f64 1 z) 2) (*.f64 (-.f64 -5000000000000/883075145810703 (/.f64 (+.f64 z -3) -883075145810703/5000000000000)) 7713234287776531/10000000000000)) (*.f64 (-.f64 -5000000000000/883075145810703 (/.f64 (+.f64 z -3) -883075145810703/5000000000000)) (+.f64 (-.f64 1 z) 2))) |
(/.f64 (+.f64 (*.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 2)) (*.f64 (+.f64 (-.f64 1 z) 3) 7713234287776531/10000000000000)) (*.f64 (+.f64 (-.f64 1 z) 3) (+.f64 (-.f64 1 z) 2))) |
(/.f64 (+.f64 (*.f64 883075145810703/5000000000000 (+.f64 (-.f64 1 z) 2)) (*.f64 (neg.f64 (+.f64 (-.f64 1 z) 3)) 7713234287776531/10000000000000)) (*.f64 (neg.f64 (+.f64 (-.f64 1 z) 3)) (+.f64 (-.f64 1 z) 2))) |
(/.f64 (+.f64 (neg.f64 (+.f64 (-.f64 1 z) 2)) (*.f64 (-.f64 -5000000000000/883075145810703 (/.f64 (+.f64 z -3) -883075145810703/5000000000000)) -7713234287776531/10000000000000)) (*.f64 (-.f64 -5000000000000/883075145810703 (/.f64 (+.f64 z -3) -883075145810703/5000000000000)) (neg.f64 (+.f64 (-.f64 1 z) 2)))) |
(/.f64 (+.f64 (*.f64 -883075145810703/5000000000000 (neg.f64 (+.f64 (-.f64 1 z) 2))) (*.f64 (+.f64 (-.f64 1 z) 3) -7713234287776531/10000000000000)) (*.f64 (+.f64 (-.f64 1 z) 3) (neg.f64 (+.f64 (-.f64 1 z) 2)))) |
(/.f64 (+.f64 (*.f64 883075145810703/5000000000000 (neg.f64 (+.f64 (-.f64 1 z) 2))) (*.f64 (neg.f64 (+.f64 (-.f64 1 z) 3)) -7713234287776531/10000000000000)) (*.f64 (neg.f64 (+.f64 (-.f64 1 z) 3)) (neg.f64 (+.f64 (-.f64 1 z) 2)))) |
(/.f64 (+.f64 (/.f64 -688641173045047177036613100428008022090298927/125000000000000000000000000000000000000 (pow.f64 (+.f64 (-.f64 1 z) 3) 3)) (pow.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) 3)) (+.f64 (pow.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) 2) (-.f64 (/.f64 59493983178131529437839794393961/100000000000000000000000000 (pow.f64 (+.f64 (-.f64 1 z) 2) 2)) (*.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)))))) |
(pow.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3))) 1) |
(pow.f64 (pow.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3))) 3) 1/3) |
(pow.f64 (cbrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)))) 3) |
(pow.f64 (sqrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)))) 2) |
(sqrt.f64 (pow.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3))) 2)) |
(log.f64 (exp.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3))))) |
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)))))) |
(cbrt.f64 (pow.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3))) 3)) |
(expm1.f64 (log1p.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3))))) |
(log1p.f64 (expm1.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3))))) |
(exp.f64 (log.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3))))) |
(exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)))) 1)) |
(fma.f64 1 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3))) |
(fma.f64 1 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2))) |
(fma.f64 7713234287776531/10000000000000 (/.f64 1 (+.f64 (-.f64 1 z) 2)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3))) |
(fma.f64 -883075145810703/5000000000000 (/.f64 1 (+.f64 (-.f64 1 z) 3)) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2))) |
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2))) 2) (cbrt.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3))) |
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3))) 2) (cbrt.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2))) |
(fma.f64 (sqrt.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2))) (sqrt.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3))) |
(fma.f64 (sqrt.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3))) (sqrt.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2))) |
| Outputs |
|---|
(*.f64 -1 z) |
(neg.f64 z) |
(*.f64 -1 z) |
(neg.f64 z) |
(*.f64 -1 z) |
(neg.f64 z) |
(*.f64 -1 z) |
(neg.f64 z) |
(*.f64 -1 z) |
(neg.f64 z) |
(*.f64 -1 z) |
(neg.f64 z) |
(*.f64 -1 z) |
(neg.f64 z) |
(*.f64 -1 z) |
(neg.f64 z) |
(*.f64 -1 z) |
(neg.f64 z) |
(*.f64 -1 z) |
(neg.f64 z) |
(*.f64 -1 z) |
(neg.f64 z) |
(*.f64 -1 z) |
(neg.f64 z) |
479507597606835099/10000000000000000 |
(+.f64 479507597606835099/10000000000000000 (*.f64 904338909853211/2500000000000 z)) |
(+.f64 479507597606835099/10000000000000000 (*.f64 z 904338909853211/2500000000000)) |
(fma.f64 z 904338909853211/2500000000000 479507597606835099/10000000000000000) |
(+.f64 (*.f64 2076511864126339/4000000000000 (pow.f64 z 2)) (+.f64 479507597606835099/10000000000000000 (*.f64 904338909853211/2500000000000 z))) |
(fma.f64 2076511864126339/4000000000000 (*.f64 z z) (+.f64 479507597606835099/10000000000000000 (*.f64 z 904338909853211/2500000000000))) |
(fma.f64 2076511864126339/4000000000000 (*.f64 z z) (fma.f64 z 904338909853211/2500000000000 479507597606835099/10000000000000000)) |
(+.f64 (*.f64 2076511864126339/4000000000000 (pow.f64 z 2)) (+.f64 (*.f64 23912966683069397/40000000000000 (pow.f64 z 3)) (+.f64 479507597606835099/10000000000000000 (*.f64 904338909853211/2500000000000 z)))) |
(fma.f64 2076511864126339/4000000000000 (*.f64 z z) (fma.f64 23912966683069397/40000000000000 (pow.f64 z 3) (+.f64 479507597606835099/10000000000000000 (*.f64 z 904338909853211/2500000000000)))) |
(fma.f64 2076511864126339/4000000000000 (*.f64 z z) (fma.f64 23912966683069397/40000000000000 (pow.f64 z 3) (fma.f64 z 904338909853211/2500000000000 479507597606835099/10000000000000000))) |
9999999999998099/10000000000000000 |
(+.f64 9999999999998099/10000000000000000 (*.f64 5826188486005177/10000000000000 (/.f64 1 z))) |
(+.f64 9999999999998099/10000000000000000 (/.f64 5826188486005177/10000000000000 z)) |
(+.f64 (*.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 9999999999998099/10000000000000000 (*.f64 5826188486005177/10000000000000 (/.f64 1 z)))) |
(+.f64 (+.f64 (/.f64 3683516130645841/2000000000000 (*.f64 z z)) 9999999999998099/10000000000000000) (/.f64 5826188486005177/10000000000000 z)) |
(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 5826188486005177/10000000000000 z) (/.f64 3683516130645841/2000000000000 (*.f64 z z)))) |
(+.f64 (*.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 9999999999998099/10000000000000000 (+.f64 (*.f64 5826188486005177/10000000000000 (/.f64 1 z)) (*.f64 43600364987677261/10000000000000 (/.f64 1 (pow.f64 z 3)))))) |
(+.f64 (+.f64 (/.f64 3683516130645841/2000000000000 (*.f64 z z)) 9999999999998099/10000000000000000) (+.f64 (/.f64 5826188486005177/10000000000000 z) (/.f64 43600364987677261/10000000000000 (pow.f64 z 3)))) |
(+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 5826188486005177/10000000000000 z) (/.f64 43600364987677261/10000000000000 (pow.f64 z 3))) (/.f64 3683516130645841/2000000000000 (*.f64 z z)))) |
9999999999998099/10000000000000000 |
(+.f64 9999999999998099/10000000000000000 (*.f64 5826188486005177/10000000000000 (/.f64 1 z))) |
(+.f64 9999999999998099/10000000000000000 (/.f64 5826188486005177/10000000000000 z)) |
(+.f64 (*.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 9999999999998099/10000000000000000 (*.f64 5826188486005177/10000000000000 (/.f64 1 z)))) |
(+.f64 (+.f64 (/.f64 3683516130645841/2000000000000 (*.f64 z z)) 9999999999998099/10000000000000000) (/.f64 5826188486005177/10000000000000 z)) |
(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 5826188486005177/10000000000000 z) (/.f64 3683516130645841/2000000000000 (*.f64 z z)))) |
(+.f64 (*.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 9999999999998099/10000000000000000 (+.f64 (*.f64 5826188486005177/10000000000000 (/.f64 1 z)) (*.f64 43600364987677261/10000000000000 (/.f64 1 (pow.f64 z 3)))))) |
(+.f64 (+.f64 (/.f64 3683516130645841/2000000000000 (*.f64 z z)) 9999999999998099/10000000000000000) (+.f64 (/.f64 5826188486005177/10000000000000 z) (/.f64 43600364987677261/10000000000000 (pow.f64 z 3)))) |
(+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 5826188486005177/10000000000000 z) (/.f64 43600364987677261/10000000000000 (pow.f64 z 3))) (/.f64 3683516130645841/2000000000000 (*.f64 z z)))) |
12777243138120953/60000000000000 |
(+.f64 12777243138120953/60000000000000 (*.f64 53758197989915921/720000000000000 z)) |
(+.f64 12777243138120953/60000000000000 (*.f64 z 53758197989915921/720000000000000)) |
(fma.f64 z 53758197989915921/720000000000000 12777243138120953/60000000000000) |
(+.f64 12777243138120953/60000000000000 (+.f64 (*.f64 222980468271960011/8640000000000000 (pow.f64 z 2)) (*.f64 53758197989915921/720000000000000 z))) |
(+.f64 12777243138120953/60000000000000 (fma.f64 222980468271960011/8640000000000000 (*.f64 z z) (*.f64 z 53758197989915921/720000000000000))) |
(+.f64 (fma.f64 z 53758197989915921/720000000000000 12777243138120953/60000000000000) (*.f64 z (*.f64 z 222980468271960011/8640000000000000))) |
(+.f64 12777243138120953/60000000000000 (+.f64 (*.f64 36630596080989161/4147200000000000 (pow.f64 z 3)) (+.f64 (*.f64 222980468271960011/8640000000000000 (pow.f64 z 2)) (*.f64 53758197989915921/720000000000000 z)))) |
(+.f64 12777243138120953/60000000000000 (fma.f64 36630596080989161/4147200000000000 (pow.f64 z 3) (fma.f64 222980468271960011/8640000000000000 (*.f64 z z) (*.f64 z 53758197989915921/720000000000000)))) |
(+.f64 (fma.f64 (pow.f64 z 3) 36630596080989161/4147200000000000 (*.f64 z (*.f64 z 222980468271960011/8640000000000000))) (fma.f64 z 53758197989915921/720000000000000 12777243138120953/60000000000000)) |
(/.f64 -47576671969241/80000000000 z) |
(neg.f64 (+.f64 (*.f64 16075101696843969/10000000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 47576671969241/80000000000 (/.f64 1 z)))) |
(neg.f64 (+.f64 (/.f64 16075101696843969/10000000000000 (*.f64 z z)) (/.f64 47576671969241/80000000000 z))) |
(+.f64 (/.f64 -16075101696843969/10000000000000 (*.f64 z z)) (/.f64 -47576671969241/80000000000 z)) |
(neg.f64 (+.f64 (*.f64 16075101696843969/10000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (*.f64 47576671969241/80000000000 (/.f64 1 z)) (*.f64 41160703924046283/10000000000000 (/.f64 1 (pow.f64 z 3)))))) |
(neg.f64 (+.f64 (/.f64 16075101696843969/10000000000000 (*.f64 z z)) (+.f64 (/.f64 47576671969241/80000000000 z) (/.f64 41160703924046283/10000000000000 (pow.f64 z 3))))) |
(-.f64 (+.f64 (/.f64 -16075101696843969/10000000000000 (*.f64 z z)) (/.f64 -47576671969241/80000000000 z)) (/.f64 41160703924046283/10000000000000 (pow.f64 z 3))) |
(+.f64 (/.f64 -16075101696843969/10000000000000 (*.f64 z z)) (-.f64 (/.f64 -47576671969241/80000000000 z) (/.f64 41160703924046283/10000000000000 (pow.f64 z 3)))) |
(neg.f64 (+.f64 (*.f64 16075101696843969/10000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (*.f64 95223707106196353/10000000000000 (/.f64 1 (pow.f64 z 4))) (+.f64 (*.f64 47576671969241/80000000000 (/.f64 1 z)) (*.f64 41160703924046283/10000000000000 (/.f64 1 (pow.f64 z 3))))))) |
(neg.f64 (+.f64 (/.f64 16075101696843969/10000000000000 (*.f64 z z)) (+.f64 (+.f64 (/.f64 47576671969241/80000000000 z) (/.f64 41160703924046283/10000000000000 (pow.f64 z 3))) (/.f64 95223707106196353/10000000000000 (pow.f64 z 4))))) |
(-.f64 (/.f64 -16075101696843969/10000000000000 (*.f64 z z)) (+.f64 (/.f64 47576671969241/80000000000 z) (+.f64 (/.f64 41160703924046283/10000000000000 (pow.f64 z 3)) (/.f64 95223707106196353/10000000000000 (pow.f64 z 4))))) |
(/.f64 -47576671969241/80000000000 z) |
(neg.f64 (+.f64 (*.f64 16075101696843969/10000000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 47576671969241/80000000000 (/.f64 1 z)))) |
(neg.f64 (+.f64 (/.f64 16075101696843969/10000000000000 (*.f64 z z)) (/.f64 47576671969241/80000000000 z))) |
(+.f64 (/.f64 -16075101696843969/10000000000000 (*.f64 z z)) (/.f64 -47576671969241/80000000000 z)) |
(neg.f64 (+.f64 (*.f64 16075101696843969/10000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (*.f64 47576671969241/80000000000 (/.f64 1 z)) (*.f64 41160703924046283/10000000000000 (/.f64 1 (pow.f64 z 3)))))) |
(neg.f64 (+.f64 (/.f64 16075101696843969/10000000000000 (*.f64 z z)) (+.f64 (/.f64 47576671969241/80000000000 z) (/.f64 41160703924046283/10000000000000 (pow.f64 z 3))))) |
(-.f64 (+.f64 (/.f64 -16075101696843969/10000000000000 (*.f64 z z)) (/.f64 -47576671969241/80000000000 z)) (/.f64 41160703924046283/10000000000000 (pow.f64 z 3))) |
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(+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) |
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3))) 2) (cbrt.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2))) |
(+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z))) (/.f64 -883075145810703/5000000000000 (+.f64 3 (-.f64 1 z)))) |
(+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) |
(fma.f64 (sqrt.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2))) (sqrt.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3))) |
(+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z))) (/.f64 -883075145810703/5000000000000 (+.f64 3 (-.f64 1 z)))) |
(+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) |
(fma.f64 (sqrt.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3))) (sqrt.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2))) |
(+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z))) (/.f64 -883075145810703/5000000000000 (+.f64 3 (-.f64 1 z)))) |
(+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 1.0b | (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) |
| ✓ | 1.0b | (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) |
| 1.0b | (sqrt.f64 (*.f64 (PI.f64) 2)) | |
| ✓ | 1.1b | (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) |
Compiled 506 to 386 computations (23.7% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | z | @ | -inf | (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) |
| 0.0ms | z | @ | inf | (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) |
| 0.0ms | z | @ | 0 | (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) |
| 0.0ms | z | @ | inf | (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) |
| 0.0ms | z | @ | inf | (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) |
| 1× | batch-egg-rewrite |
| 316× | add-sqr-sqrt_binary64 |
| 302× | add-cbrt-cube_binary64 |
| 302× | add-exp-log_binary64 |
| 302× | add-log-exp_binary64 |
| 302× | log1p-expm1-u_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 25 | 48 |
| 1 | 622 | 48 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) |
(+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) |
(/.f64 7713234287776531/10000000000000 (-.f64 3 z)) |
| Outputs |
|---|
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| 1× | egg-herbie |
| 692× | times-frac_binary64 |
| 353× | fma-neg_binary64 |
| 321× | div-sub_binary64 |
| 280× | associate-/r*_binary64 |
| 270× | fma-def_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 536 | 5325 |
| 1 | 1430 | 5145 |
| 2 | 5115 | 5145 |
| 1× | node limit |
| Inputs |
|---|
469507597606837/10000000000000 |
(+.f64 469507597606837/10000000000000 (*.f64 904338909853211/2500000000000 z)) |
(+.f64 (*.f64 2076511864126339/4000000000000 (pow.f64 z 2)) (+.f64 469507597606837/10000000000000 (*.f64 904338909853211/2500000000000 z))) |
(+.f64 (*.f64 2076511864126339/4000000000000 (pow.f64 z 2)) (+.f64 (*.f64 23912966683069397/40000000000000 (pow.f64 z 3)) (+.f64 469507597606837/10000000000000 (*.f64 904338909853211/2500000000000 z)))) |
(/.f64 5826188486005177/10000000000000 z) |
(+.f64 (*.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 5826188486005177/10000000000000 (/.f64 1 z))) |
(+.f64 (*.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (*.f64 5826188486005177/10000000000000 (/.f64 1 z)) (*.f64 43600364987677261/10000000000000 (/.f64 1 (pow.f64 z 3))))) |
(+.f64 (*.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (*.f64 93965933656573373/10000000000000 (/.f64 1 (pow.f64 z 4))) (+.f64 (*.f64 5826188486005177/10000000000000 (/.f64 1 z)) (*.f64 43600364987677261/10000000000000 (/.f64 1 (pow.f64 z 3)))))) |
(/.f64 5826188486005177/10000000000000 z) |
(+.f64 (*.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 5826188486005177/10000000000000 (/.f64 1 z))) |
(+.f64 (*.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (*.f64 5826188486005177/10000000000000 (/.f64 1 z)) (*.f64 43600364987677261/10000000000000 (/.f64 1 (pow.f64 z 3))))) |
(+.f64 (*.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (*.f64 93965933656573373/10000000000000 (/.f64 1 (pow.f64 z 4))) (+.f64 (*.f64 5826188486005177/10000000000000 (/.f64 1 z)) (*.f64 43600364987677261/10000000000000 (/.f64 1 (pow.f64 z 3)))))) |
646366562873259793/3000000000000000 |
(+.f64 646366562873259793/3000000000000000 (*.f64 6764801184542762983/90000000000000000 z)) |
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(/.f64 -121443148578839881/200000000000000 z) |
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(/.f64 -121443148578839881/200000000000000 z) |
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7713234287776531/30000000000000 |
(+.f64 (*.f64 7713234287776531/90000000000000 z) 7713234287776531/30000000000000) |
(+.f64 (*.f64 7713234287776531/90000000000000 z) (+.f64 7713234287776531/30000000000000 (*.f64 7713234287776531/270000000000000 (pow.f64 z 2)))) |
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(/.f64 -7713234287776531/10000000000000 z) |
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(exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))) 1)) |
(fma.f64 1 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) |
(fma.f64 1 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) |
(fma.f64 7713234287776531/10000000000000 (/.f64 1 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) |
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) 2) (cbrt.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) |
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) 2) (cbrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) |
(fma.f64 (sqrt.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (sqrt.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) |
(fma.f64 (sqrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (sqrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) 1) |
(*.f64 1 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) |
(*.f64 7713234287776531/10000000000000 (/.f64 1 (-.f64 3 z))) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) 2) (cbrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) |
(*.f64 (sqrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (sqrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) |
(*.f64 -7713234287776531/10000000000000 (/.f64 1 (neg.f64 (-.f64 3 z)))) |
(pow.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 1) |
(pow.f64 (cbrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) 3) |
(pow.f64 (sqrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) 2) |
(pow.f64 (/.f64 458891030965964263706993392018425544321343929291/1000000000000000000000000000000000000000 (pow.f64 (-.f64 3 z) 3)) 1/3) |
(pow.f64 (*.f64 (-.f64 3 z) 10000000000000/7713234287776531) -1) |
(sqrt.f64 (pow.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 2)) |
(log.f64 (exp.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) |
(cbrt.f64 (/.f64 458891030965964263706993392018425544321343929291/1000000000000000000000000000000000000000 (pow.f64 (-.f64 3 z) 3))) |
(expm1.f64 (log1p.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) |
(log1p.f64 (expm1.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) |
(exp.f64 (log.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) 1)) |
| Outputs |
|---|
469507597606837/10000000000000 |
(+.f64 469507597606837/10000000000000 (*.f64 904338909853211/2500000000000 z)) |
(fma.f64 904338909853211/2500000000000 z 469507597606837/10000000000000) |
(+.f64 (*.f64 2076511864126339/4000000000000 (pow.f64 z 2)) (+.f64 469507597606837/10000000000000 (*.f64 904338909853211/2500000000000 z))) |
(fma.f64 2076511864126339/4000000000000 (*.f64 z z) (+.f64 469507597606837/10000000000000 (*.f64 904338909853211/2500000000000 z))) |
(fma.f64 2076511864126339/4000000000000 (*.f64 z z) (fma.f64 904338909853211/2500000000000 z 469507597606837/10000000000000)) |
(+.f64 (*.f64 2076511864126339/4000000000000 (pow.f64 z 2)) (+.f64 (*.f64 23912966683069397/40000000000000 (pow.f64 z 3)) (+.f64 469507597606837/10000000000000 (*.f64 904338909853211/2500000000000 z)))) |
(fma.f64 2076511864126339/4000000000000 (*.f64 z z) (fma.f64 23912966683069397/40000000000000 (pow.f64 z 3) (+.f64 469507597606837/10000000000000 (*.f64 904338909853211/2500000000000 z)))) |
(fma.f64 2076511864126339/4000000000000 (*.f64 z z) (fma.f64 23912966683069397/40000000000000 (pow.f64 z 3) (fma.f64 904338909853211/2500000000000 z 469507597606837/10000000000000))) |
(/.f64 5826188486005177/10000000000000 z) |
(+.f64 (*.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 5826188486005177/10000000000000 (/.f64 1 z))) |
(+.f64 (/.f64 3683516130645841/2000000000000 (*.f64 z z)) (/.f64 5826188486005177/10000000000000 z)) |
(+.f64 (*.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (*.f64 5826188486005177/10000000000000 (/.f64 1 z)) (*.f64 43600364987677261/10000000000000 (/.f64 1 (pow.f64 z 3))))) |
(+.f64 (+.f64 (/.f64 3683516130645841/2000000000000 (*.f64 z z)) (/.f64 5826188486005177/10000000000000 z)) (/.f64 43600364987677261/10000000000000 (pow.f64 z 3))) |
(+.f64 (/.f64 5826188486005177/10000000000000 z) (+.f64 (/.f64 3683516130645841/2000000000000 (*.f64 z z)) (/.f64 43600364987677261/10000000000000 (pow.f64 z 3)))) |
(+.f64 (*.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (*.f64 93965933656573373/10000000000000 (/.f64 1 (pow.f64 z 4))) (+.f64 (*.f64 5826188486005177/10000000000000 (/.f64 1 z)) (*.f64 43600364987677261/10000000000000 (/.f64 1 (pow.f64 z 3)))))) |
(+.f64 (+.f64 (/.f64 3683516130645841/2000000000000 (*.f64 z z)) (/.f64 93965933656573373/10000000000000 (pow.f64 z 4))) (+.f64 (/.f64 5826188486005177/10000000000000 z) (/.f64 43600364987677261/10000000000000 (pow.f64 z 3)))) |
(+.f64 (/.f64 3683516130645841/2000000000000 (*.f64 z z)) (+.f64 (/.f64 43600364987677261/10000000000000 (pow.f64 z 3)) (+.f64 (/.f64 5826188486005177/10000000000000 z) (/.f64 93965933656573373/10000000000000 (pow.f64 z 4))))) |
(/.f64 5826188486005177/10000000000000 z) |
(+.f64 (*.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 5826188486005177/10000000000000 (/.f64 1 z))) |
(+.f64 (/.f64 3683516130645841/2000000000000 (*.f64 z z)) (/.f64 5826188486005177/10000000000000 z)) |
(+.f64 (*.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (*.f64 5826188486005177/10000000000000 (/.f64 1 z)) (*.f64 43600364987677261/10000000000000 (/.f64 1 (pow.f64 z 3))))) |
(+.f64 (+.f64 (/.f64 3683516130645841/2000000000000 (*.f64 z z)) (/.f64 5826188486005177/10000000000000 z)) (/.f64 43600364987677261/10000000000000 (pow.f64 z 3))) |
(+.f64 (/.f64 5826188486005177/10000000000000 z) (+.f64 (/.f64 3683516130645841/2000000000000 (*.f64 z z)) (/.f64 43600364987677261/10000000000000 (pow.f64 z 3)))) |
(+.f64 (*.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (*.f64 93965933656573373/10000000000000 (/.f64 1 (pow.f64 z 4))) (+.f64 (*.f64 5826188486005177/10000000000000 (/.f64 1 z)) (*.f64 43600364987677261/10000000000000 (/.f64 1 (pow.f64 z 3)))))) |
(+.f64 (+.f64 (/.f64 3683516130645841/2000000000000 (*.f64 z z)) (/.f64 93965933656573373/10000000000000 (pow.f64 z 4))) (+.f64 (/.f64 5826188486005177/10000000000000 z) (/.f64 43600364987677261/10000000000000 (pow.f64 z 3)))) |
(+.f64 (/.f64 3683516130645841/2000000000000 (*.f64 z z)) (+.f64 (/.f64 43600364987677261/10000000000000 (pow.f64 z 3)) (+.f64 (/.f64 5826188486005177/10000000000000 z) (/.f64 93965933656573373/10000000000000 (pow.f64 z 4))))) |
646366562873259793/3000000000000000 |
(+.f64 646366562873259793/3000000000000000 (*.f64 6764801184542762983/90000000000000000 z)) |
(+.f64 646366562873259793/3000000000000000 (*.f64 z 6764801184542762983/90000000000000000)) |
(fma.f64 z 6764801184542762983/90000000000000000 646366562873259793/3000000000000000) |
(+.f64 (*.f64 139903109899614281171/5400000000000000000 (pow.f64 z 2)) (+.f64 646366562873259793/3000000000000000 (*.f64 6764801184542762983/90000000000000000 z))) |
(fma.f64 139903109899614281171/5400000000000000000 (*.f64 z z) (+.f64 646366562873259793/3000000000000000 (*.f64 z 6764801184542762983/90000000000000000))) |
(fma.f64 (*.f64 z z) 139903109899614281171/5400000000000000000 (fma.f64 z 6764801184542762983/90000000000000000 646366562873259793/3000000000000000)) |
(+.f64 (*.f64 139903109899614281171/5400000000000000000 (pow.f64 z 2)) (+.f64 646366562873259793/3000000000000000 (+.f64 (*.f64 6764801184542762983/90000000000000000 z) (*.f64 2868249125582949494677/324000000000000000000 (pow.f64 z 3))))) |
(fma.f64 139903109899614281171/5400000000000000000 (*.f64 z z) (+.f64 646366562873259793/3000000000000000 (fma.f64 6764801184542762983/90000000000000000 z (*.f64 (pow.f64 z 3) 2868249125582949494677/324000000000000000000)))) |
(+.f64 (fma.f64 (pow.f64 z 3) 2868249125582949494677/324000000000000000000 (*.f64 z 6764801184542762983/90000000000000000)) (fma.f64 (*.f64 z z) 139903109899614281171/5400000000000000000 646366562873259793/3000000000000000)) |
(/.f64 -121443148578839881/200000000000000 z) |
(neg.f64 (+.f64 (*.f64 66801875443113257/40000000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 121443148578839881/200000000000000 (/.f64 1 z)))) |
(neg.f64 (+.f64 (/.f64 66801875443113257/40000000000000 (*.f64 z z)) (/.f64 121443148578839881/200000000000000 z))) |
(+.f64 (/.f64 -66801875443113257/40000000000000 (*.f64 z z)) (/.f64 -121443148578839881/200000000000000 z)) |
(neg.f64 (+.f64 (*.f64 66801875443113257/40000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (*.f64 121443148578839881/200000000000000 (/.f64 1 z)) (*.f64 177150158974872037/40000000000000 (/.f64 1 (pow.f64 z 3)))))) |
(neg.f64 (+.f64 (+.f64 (/.f64 66801875443113257/40000000000000 (*.f64 z z)) (/.f64 121443148578839881/200000000000000 z)) (/.f64 177150158974872037/40000000000000 (pow.f64 z 3)))) |
(-.f64 (+.f64 (/.f64 -66801875443113257/40000000000000 (*.f64 z z)) (/.f64 -121443148578839881/200000000000000 z)) (/.f64 177150158974872037/40000000000000 (pow.f64 z 3))) |
(neg.f64 (+.f64 (*.f64 443431544818219937/40000000000000 (/.f64 1 (pow.f64 z 4))) (+.f64 (*.f64 66801875443113257/40000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (*.f64 121443148578839881/200000000000000 (/.f64 1 z)) (*.f64 177150158974872037/40000000000000 (/.f64 1 (pow.f64 z 3))))))) |
(neg.f64 (+.f64 (+.f64 (+.f64 (/.f64 66801875443113257/40000000000000 (*.f64 z z)) (/.f64 121443148578839881/200000000000000 z)) (/.f64 177150158974872037/40000000000000 (pow.f64 z 3))) (/.f64 443431544818219937/40000000000000 (pow.f64 z 4)))) |
(-.f64 (/.f64 -443431544818219937/40000000000000 (pow.f64 z 4)) (+.f64 (/.f64 121443148578839881/200000000000000 z) (+.f64 (/.f64 66801875443113257/40000000000000 (*.f64 z z)) (/.f64 177150158974872037/40000000000000 (pow.f64 z 3))))) |
(/.f64 -121443148578839881/200000000000000 z) |
(neg.f64 (+.f64 (*.f64 66801875443113257/40000000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 121443148578839881/200000000000000 (/.f64 1 z)))) |
(neg.f64 (+.f64 (/.f64 66801875443113257/40000000000000 (*.f64 z z)) (/.f64 121443148578839881/200000000000000 z))) |
(+.f64 (/.f64 -66801875443113257/40000000000000 (*.f64 z z)) (/.f64 -121443148578839881/200000000000000 z)) |
(neg.f64 (+.f64 (*.f64 66801875443113257/40000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (*.f64 121443148578839881/200000000000000 (/.f64 1 z)) (*.f64 177150158974872037/40000000000000 (/.f64 1 (pow.f64 z 3)))))) |
(neg.f64 (+.f64 (+.f64 (/.f64 66801875443113257/40000000000000 (*.f64 z z)) (/.f64 121443148578839881/200000000000000 z)) (/.f64 177150158974872037/40000000000000 (pow.f64 z 3)))) |
(-.f64 (+.f64 (/.f64 -66801875443113257/40000000000000 (*.f64 z z)) (/.f64 -121443148578839881/200000000000000 z)) (/.f64 177150158974872037/40000000000000 (pow.f64 z 3))) |
(neg.f64 (+.f64 (*.f64 443431544818219937/40000000000000 (/.f64 1 (pow.f64 z 4))) (+.f64 (*.f64 66801875443113257/40000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (*.f64 121443148578839881/200000000000000 (/.f64 1 z)) (*.f64 177150158974872037/40000000000000 (/.f64 1 (pow.f64 z 3))))))) |
(neg.f64 (+.f64 (+.f64 (+.f64 (/.f64 66801875443113257/40000000000000 (*.f64 z z)) (/.f64 121443148578839881/200000000000000 z)) (/.f64 177150158974872037/40000000000000 (pow.f64 z 3))) (/.f64 443431544818219937/40000000000000 (pow.f64 z 4)))) |
(-.f64 (/.f64 -443431544818219937/40000000000000 (pow.f64 z 4)) (+.f64 (/.f64 121443148578839881/200000000000000 z) (+.f64 (/.f64 66801875443113257/40000000000000 (*.f64 z z)) (/.f64 177150158974872037/40000000000000 (pow.f64 z 3))))) |
7713234287776531/30000000000000 |
(+.f64 (*.f64 7713234287776531/90000000000000 z) 7713234287776531/30000000000000) |
(fma.f64 7713234287776531/90000000000000 z 7713234287776531/30000000000000) |
(fma.f64 z 7713234287776531/90000000000000 7713234287776531/30000000000000) |
(+.f64 (*.f64 7713234287776531/90000000000000 z) (+.f64 7713234287776531/30000000000000 (*.f64 7713234287776531/270000000000000 (pow.f64 z 2)))) |
(+.f64 (fma.f64 7713234287776531/90000000000000 z 7713234287776531/30000000000000) (*.f64 (*.f64 z z) 7713234287776531/270000000000000)) |
(fma.f64 z 7713234287776531/90000000000000 (fma.f64 (*.f64 z z) 7713234287776531/270000000000000 7713234287776531/30000000000000)) |
(+.f64 (*.f64 7713234287776531/90000000000000 z) (+.f64 7713234287776531/30000000000000 (+.f64 (*.f64 7713234287776531/270000000000000 (pow.f64 z 2)) (*.f64 7713234287776531/810000000000000 (pow.f64 z 3))))) |
(+.f64 (fma.f64 7713234287776531/90000000000000 z 7713234287776531/30000000000000) (fma.f64 7713234287776531/270000000000000 (*.f64 z z) (*.f64 (pow.f64 z 3) 7713234287776531/810000000000000))) |
(+.f64 (fma.f64 z 7713234287776531/90000000000000 7713234287776531/30000000000000) (fma.f64 (pow.f64 z 3) 7713234287776531/810000000000000 (*.f64 z (*.f64 z 7713234287776531/270000000000000)))) |
(/.f64 -7713234287776531/10000000000000 z) |
(neg.f64 (+.f64 (*.f64 23139702863329593/10000000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 7713234287776531/10000000000000 (/.f64 1 z)))) |
(neg.f64 (+.f64 (/.f64 23139702863329593/10000000000000 (*.f64 z z)) (/.f64 7713234287776531/10000000000000 z))) |
(+.f64 (/.f64 -23139702863329593/10000000000000 (*.f64 z z)) (/.f64 -7713234287776531/10000000000000 z)) |
(neg.f64 (+.f64 (*.f64 23139702863329593/10000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (*.f64 69419108589988779/10000000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 7713234287776531/10000000000000 (/.f64 1 z))))) |
(neg.f64 (+.f64 (/.f64 23139702863329593/10000000000000 (*.f64 z z)) (+.f64 (/.f64 7713234287776531/10000000000000 z) (/.f64 69419108589988779/10000000000000 (pow.f64 z 3))))) |
(-.f64 (/.f64 -23139702863329593/10000000000000 (*.f64 z z)) (+.f64 (/.f64 7713234287776531/10000000000000 z) (/.f64 69419108589988779/10000000000000 (pow.f64 z 3)))) |
(neg.f64 (+.f64 (*.f64 208257325769966337/10000000000000 (/.f64 1 (pow.f64 z 4))) (+.f64 (*.f64 69419108589988779/10000000000000 (/.f64 1 (pow.f64 z 3))) (+.f64 (*.f64 23139702863329593/10000000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 7713234287776531/10000000000000 (/.f64 1 z)))))) |
(neg.f64 (+.f64 (/.f64 208257325769966337/10000000000000 (pow.f64 z 4)) (+.f64 (+.f64 (/.f64 69419108589988779/10000000000000 (pow.f64 z 3)) (/.f64 23139702863329593/10000000000000 (*.f64 z z))) (/.f64 7713234287776531/10000000000000 z)))) |
(+.f64 (/.f64 -208257325769966337/10000000000000 (pow.f64 z 4)) (-.f64 (/.f64 -23139702863329593/10000000000000 (*.f64 z z)) (+.f64 (/.f64 7713234287776531/10000000000000 z) (/.f64 69419108589988779/10000000000000 (pow.f64 z 3))))) |
(/.f64 -7713234287776531/10000000000000 z) |
(neg.f64 (+.f64 (*.f64 23139702863329593/10000000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 7713234287776531/10000000000000 (/.f64 1 z)))) |
(neg.f64 (+.f64 (/.f64 23139702863329593/10000000000000 (*.f64 z z)) (/.f64 7713234287776531/10000000000000 z))) |
(+.f64 (/.f64 -23139702863329593/10000000000000 (*.f64 z z)) (/.f64 -7713234287776531/10000000000000 z)) |
(neg.f64 (+.f64 (*.f64 23139702863329593/10000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (*.f64 69419108589988779/10000000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 7713234287776531/10000000000000 (/.f64 1 z))))) |
(neg.f64 (+.f64 (/.f64 23139702863329593/10000000000000 (*.f64 z z)) (+.f64 (/.f64 7713234287776531/10000000000000 z) (/.f64 69419108589988779/10000000000000 (pow.f64 z 3))))) |
(-.f64 (/.f64 -23139702863329593/10000000000000 (*.f64 z z)) (+.f64 (/.f64 7713234287776531/10000000000000 z) (/.f64 69419108589988779/10000000000000 (pow.f64 z 3)))) |
(neg.f64 (+.f64 (*.f64 208257325769966337/10000000000000 (/.f64 1 (pow.f64 z 4))) (+.f64 (*.f64 69419108589988779/10000000000000 (/.f64 1 (pow.f64 z 3))) (+.f64 (*.f64 23139702863329593/10000000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 7713234287776531/10000000000000 (/.f64 1 z)))))) |
(neg.f64 (+.f64 (/.f64 208257325769966337/10000000000000 (pow.f64 z 4)) (+.f64 (+.f64 (/.f64 69419108589988779/10000000000000 (pow.f64 z 3)) (/.f64 23139702863329593/10000000000000 (*.f64 z z))) (/.f64 7713234287776531/10000000000000 z)))) |
(+.f64 (/.f64 -208257325769966337/10000000000000 (pow.f64 z 4)) (-.f64 (/.f64 -23139702863329593/10000000000000 (*.f64 z z)) (+.f64 (/.f64 7713234287776531/10000000000000 z) (/.f64 69419108589988779/10000000000000 (pow.f64 z 3))))) |
(-.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))) 1) |
(+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) |
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(+.f64 (/.f64 -7713234287776531/10000000000000 (+.f64 -3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) |
(pow.f64 (sqrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))) 2) |
(+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) |
(+.f64 (/.f64 -7713234287776531/10000000000000 (+.f64 -3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) |
(sqrt.f64 (pow.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) 2)) |
(+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) |
(+.f64 (/.f64 -7713234287776531/10000000000000 (+.f64 -3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) |
(log.f64 (exp.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))) |
(+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) |
(+.f64 (/.f64 -7713234287776531/10000000000000 (+.f64 -3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) |
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))))) |
(+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) |
(+.f64 (/.f64 -7713234287776531/10000000000000 (+.f64 -3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) |
(cbrt.f64 (pow.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) 3)) |
(+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) |
(+.f64 (/.f64 -7713234287776531/10000000000000 (+.f64 -3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) |
(expm1.f64 (log1p.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))) |
(+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) |
(+.f64 (/.f64 -7713234287776531/10000000000000 (+.f64 -3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) |
(log1p.f64 (expm1.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))) |
(+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) |
(+.f64 (/.f64 -7713234287776531/10000000000000 (+.f64 -3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) |
(exp.f64 (log.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))) |
(+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) |
(+.f64 (/.f64 -7713234287776531/10000000000000 (+.f64 -3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) |
(exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))) 1)) |
(+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) |
(+.f64 (/.f64 -7713234287776531/10000000000000 (+.f64 -3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) |
(fma.f64 1 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) |
(+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) |
(+.f64 (/.f64 -7713234287776531/10000000000000 (+.f64 -3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) |
(fma.f64 1 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) |
(+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) |
(+.f64 (/.f64 -7713234287776531/10000000000000 (+.f64 -3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) |
(fma.f64 7713234287776531/10000000000000 (/.f64 1 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) |
(+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) |
(+.f64 (/.f64 -7713234287776531/10000000000000 (+.f64 -3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) |
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) 2) (cbrt.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) |
(+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) |
(+.f64 (/.f64 -7713234287776531/10000000000000 (+.f64 -3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) |
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) 2) (cbrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) |
(+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) |
(+.f64 (/.f64 -7713234287776531/10000000000000 (+.f64 -3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) |
(fma.f64 (sqrt.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (sqrt.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) |
(+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) |
(+.f64 (/.f64 -7713234287776531/10000000000000 (+.f64 -3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) |
(fma.f64 (sqrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (sqrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) |
(+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) |
(+.f64 (/.f64 -7713234287776531/10000000000000 (+.f64 -3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) 1) |
(/.f64 7713234287776531/10000000000000 (-.f64 3 z)) |
(/.f64 -7713234287776531/10000000000000 (+.f64 -3 z)) |
(*.f64 1 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) |
(/.f64 7713234287776531/10000000000000 (-.f64 3 z)) |
(/.f64 -7713234287776531/10000000000000 (+.f64 -3 z)) |
(*.f64 7713234287776531/10000000000000 (/.f64 1 (-.f64 3 z))) |
(/.f64 7713234287776531/10000000000000 (-.f64 3 z)) |
(/.f64 -7713234287776531/10000000000000 (+.f64 -3 z)) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) 2) (cbrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) |
(/.f64 7713234287776531/10000000000000 (-.f64 3 z)) |
(/.f64 -7713234287776531/10000000000000 (+.f64 -3 z)) |
(*.f64 (sqrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (sqrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) |
(/.f64 7713234287776531/10000000000000 (-.f64 3 z)) |
(/.f64 -7713234287776531/10000000000000 (+.f64 -3 z)) |
(*.f64 -7713234287776531/10000000000000 (/.f64 1 (neg.f64 (-.f64 3 z)))) |
(/.f64 7713234287776531/10000000000000 (-.f64 3 z)) |
(/.f64 -7713234287776531/10000000000000 (+.f64 -3 z)) |
(pow.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 1) |
(/.f64 7713234287776531/10000000000000 (-.f64 3 z)) |
(/.f64 -7713234287776531/10000000000000 (+.f64 -3 z)) |
(pow.f64 (cbrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) 3) |
(/.f64 7713234287776531/10000000000000 (-.f64 3 z)) |
(/.f64 -7713234287776531/10000000000000 (+.f64 -3 z)) |
(pow.f64 (sqrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) 2) |
(/.f64 7713234287776531/10000000000000 (-.f64 3 z)) |
(/.f64 -7713234287776531/10000000000000 (+.f64 -3 z)) |
(pow.f64 (/.f64 458891030965964263706993392018425544321343929291/1000000000000000000000000000000000000000 (pow.f64 (-.f64 3 z) 3)) 1/3) |
(cbrt.f64 (/.f64 458891030965964263706993392018425544321343929291/1000000000000000000000000000000000000000 (pow.f64 (-.f64 3 z) 3))) |
(pow.f64 (*.f64 (-.f64 3 z) 10000000000000/7713234287776531) -1) |
(/.f64 7713234287776531/10000000000000 (-.f64 3 z)) |
(/.f64 -7713234287776531/10000000000000 (+.f64 -3 z)) |
(sqrt.f64 (pow.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 2)) |
(/.f64 7713234287776531/10000000000000 (-.f64 3 z)) |
(/.f64 -7713234287776531/10000000000000 (+.f64 -3 z)) |
(log.f64 (exp.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) |
(/.f64 7713234287776531/10000000000000 (-.f64 3 z)) |
(/.f64 -7713234287776531/10000000000000 (+.f64 -3 z)) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) |
(/.f64 7713234287776531/10000000000000 (-.f64 3 z)) |
(/.f64 -7713234287776531/10000000000000 (+.f64 -3 z)) |
(cbrt.f64 (/.f64 458891030965964263706993392018425544321343929291/1000000000000000000000000000000000000000 (pow.f64 (-.f64 3 z) 3))) |
(expm1.f64 (log1p.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) |
(/.f64 7713234287776531/10000000000000 (-.f64 3 z)) |
(/.f64 -7713234287776531/10000000000000 (+.f64 -3 z)) |
(log1p.f64 (expm1.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) |
(/.f64 7713234287776531/10000000000000 (-.f64 3 z)) |
(/.f64 -7713234287776531/10000000000000 (+.f64 -3 z)) |
(exp.f64 (log.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) |
(/.f64 7713234287776531/10000000000000 (-.f64 3 z)) |
(/.f64 -7713234287776531/10000000000000 (+.f64 -3 z)) |
(exp.f64 (*.f64 (log.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) 1)) |
(/.f64 7713234287776531/10000000000000 (-.f64 3 z)) |
(/.f64 -7713234287776531/10000000000000 (+.f64 -3 z)) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 1.0b | (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) | |
| 1.0b | (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) | |
| ✓ | 1.0b | (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))) |
| 1.0b | (sqrt.f64 (*.f64 (PI.f64) 2)) |
Compiled 479 to 366 computations (23.6% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | z | @ | 0 | (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))) |
| 0.0ms | z | @ | inf | (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))) |
| 0.0ms | z | @ | -inf | (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))) |
| 1× | batch-egg-rewrite |
| 359× | add-sqr-sqrt_binary64 |
| 343× | add-cbrt-cube_binary64 |
| 343× | add-exp-log_binary64 |
| 343× | add-log-exp_binary64 |
| 343× | log1p-expm1-u_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 28 | 46 |
| 1 | 704 | 46 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))) |
| Outputs |
|---|
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| 1× | egg-herbie |
| 584× | associate-*l*_binary64 |
| 552× | associate-*r*_binary64 |
| 502× | div-sub_binary64 |
| 293× | log-prod_binary64 |
| 273× | fma-def_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 119 | 1707 |
| 1 | 318 | 1699 |
| 2 | 1145 | 1691 |
| 3 | 6756 | 1691 |
| 1× | node limit |
| Inputs |
|---|
7902188421553103227/30000000000000000 |
(+.f64 7902188421553103227/30000000000000000 (*.f64 39321001939258358983/90000000000000000 z)) |
(+.f64 7902188421553103227/30000000000000000 (+.f64 (*.f64 2943194126470171931171/5400000000000000000 (pow.f64 z 2)) (*.f64 39321001939258358983/90000000000000000 z))) |
(+.f64 7902188421553103227/30000000000000000 (+.f64 (*.f64 196563279258445065194677/324000000000000000000 (pow.f64 z 3)) (+.f64 (*.f64 2943194126470171931171/5400000000000000000 (pow.f64 z 2)) (*.f64 39321001939258358983/90000000000000000 z)))) |
9999999999998099/10000000000000000 |
(-.f64 9999999999998099/10000000000000000 (*.f64 4919378858736341/200000000000000 (/.f64 1 z))) |
(-.f64 (+.f64 9999999999998099/10000000000000000 (*.f64 6868447169803563/40000000000000 (/.f64 1 (pow.f64 z 2)))) (*.f64 4919378858736341/200000000000000 (/.f64 1 z))) |
(-.f64 (+.f64 9999999999998099/10000000000000000 (*.f64 6868447169803563/40000000000000 (/.f64 1 (pow.f64 z 2)))) (+.f64 (*.f64 2748699024162993/40000000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 4919378858736341/200000000000000 (/.f64 1 z)))) |
9999999999998099/10000000000000000 |
(-.f64 9999999999998099/10000000000000000 (*.f64 4919378858736341/200000000000000 (/.f64 1 z))) |
(-.f64 (+.f64 9999999999998099/10000000000000000 (*.f64 6868447169803563/40000000000000 (/.f64 1 (pow.f64 z 2)))) (*.f64 4919378858736341/200000000000000 (/.f64 1 z))) |
(-.f64 (+.f64 9999999999998099/10000000000000000 (*.f64 6868447169803563/40000000000000 (/.f64 1 (pow.f64 z 2)))) (+.f64 (*.f64 2748699024162993/40000000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 4919378858736341/200000000000000 (/.f64 1 z)))) |
(-.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))))) 1) |
(*.f64 1 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))))) |
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))))) 2) (cbrt.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))))) |
(*.f64 (sqrt.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))))) (sqrt.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))))) |
(/.f64 (+.f64 (pow.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) 3) (pow.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))) 3)) (+.f64 (/.f64 9908947294301912793614221284049/6250000000000000000000000 (pow.f64 (-.f64 2 z) 2)) (-.f64 (pow.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))) 2) (*.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))))))) |
(/.f64 (-.f64 (/.f64 9908947294301912793614221284049/6250000000000000000000000 (pow.f64 (-.f64 2 z) 2)) (pow.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))) 2)) (-.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) 3) (pow.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))) 3))) (neg.f64 (+.f64 (/.f64 9908947294301912793614221284049/6250000000000000000000000 (pow.f64 (-.f64 2 z) 2)) (-.f64 (pow.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))) 2) (*.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))))))) |
(/.f64 (neg.f64 (-.f64 (/.f64 9908947294301912793614221284049/6250000000000000000000000 (pow.f64 (-.f64 2 z) 2)) (pow.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))) 2))) (neg.f64 (-.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))))) |
(pow.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))) 1) |
(pow.f64 (pow.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))) 3) 1/3) |
(pow.f64 (cbrt.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))))) 3) |
(pow.f64 (sqrt.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))))) 2) |
(sqrt.f64 (pow.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))) 2)) |
(log.f64 (exp.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))))) |
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))))))) |
(cbrt.f64 (pow.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))) 3)) |
(expm1.f64 (log1p.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))))) |
(log1p.f64 (expm1.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))))) |
(exp.f64 (log.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))))) |
(exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))))) 1)) |
(fma.f64 -3147848041806007/2500000000000 (/.f64 1 (-.f64 2 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))) |
(fma.f64 1 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))) |
(fma.f64 1 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) |
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))) 2) (cbrt.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) |
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) 2) (cbrt.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))) |
(fma.f64 (sqrt.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))) (sqrt.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) |
(fma.f64 (sqrt.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (sqrt.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))) |
| Outputs |
|---|
7902188421553103227/30000000000000000 |
(+.f64 7902188421553103227/30000000000000000 (*.f64 39321001939258358983/90000000000000000 z)) |
(fma.f64 39321001939258358983/90000000000000000 z 7902188421553103227/30000000000000000) |
(+.f64 7902188421553103227/30000000000000000 (+.f64 (*.f64 2943194126470171931171/5400000000000000000 (pow.f64 z 2)) (*.f64 39321001939258358983/90000000000000000 z))) |
(+.f64 7902188421553103227/30000000000000000 (fma.f64 2943194126470171931171/5400000000000000000 (*.f64 z z) (*.f64 39321001939258358983/90000000000000000 z))) |
(+.f64 (fma.f64 39321001939258358983/90000000000000000 z 7902188421553103227/30000000000000000) (*.f64 2943194126470171931171/5400000000000000000 (*.f64 z z))) |
(fma.f64 39321001939258358983/90000000000000000 z (fma.f64 z (*.f64 z 2943194126470171931171/5400000000000000000) 7902188421553103227/30000000000000000)) |
(+.f64 7902188421553103227/30000000000000000 (+.f64 (*.f64 196563279258445065194677/324000000000000000000 (pow.f64 z 3)) (+.f64 (*.f64 2943194126470171931171/5400000000000000000 (pow.f64 z 2)) (*.f64 39321001939258358983/90000000000000000 z)))) |
(+.f64 7902188421553103227/30000000000000000 (fma.f64 196563279258445065194677/324000000000000000000 (pow.f64 z 3) (fma.f64 2943194126470171931171/5400000000000000000 (*.f64 z z) (*.f64 39321001939258358983/90000000000000000 z)))) |
(+.f64 (fma.f64 196563279258445065194677/324000000000000000000 (pow.f64 z 3) (*.f64 2943194126470171931171/5400000000000000000 (*.f64 z z))) (fma.f64 39321001939258358983/90000000000000000 z 7902188421553103227/30000000000000000)) |
(fma.f64 196563279258445065194677/324000000000000000000 (pow.f64 z 3) (fma.f64 39321001939258358983/90000000000000000 z (fma.f64 z (*.f64 z 2943194126470171931171/5400000000000000000) 7902188421553103227/30000000000000000))) |
9999999999998099/10000000000000000 |
(-.f64 9999999999998099/10000000000000000 (*.f64 4919378858736341/200000000000000 (/.f64 1 z))) |
(-.f64 9999999999998099/10000000000000000 (/.f64 4919378858736341/200000000000000 z)) |
(+.f64 9999999999998099/10000000000000000 (/.f64 -4919378858736341/200000000000000 z)) |
(-.f64 (+.f64 9999999999998099/10000000000000000 (*.f64 6868447169803563/40000000000000 (/.f64 1 (pow.f64 z 2)))) (*.f64 4919378858736341/200000000000000 (/.f64 1 z))) |
(+.f64 9999999999998099/10000000000000000 (-.f64 (/.f64 6868447169803563/40000000000000 (*.f64 z z)) (/.f64 4919378858736341/200000000000000 z))) |
(+.f64 (/.f64 6868447169803563/40000000000000 (*.f64 z z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -4919378858736341/200000000000000 z))) |
(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 (/.f64 6868447169803563/40000000000000 z) z) (/.f64 -4919378858736341/200000000000000 z))) |
(-.f64 (+.f64 9999999999998099/10000000000000000 (*.f64 6868447169803563/40000000000000 (/.f64 1 (pow.f64 z 2)))) (+.f64 (*.f64 2748699024162993/40000000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 4919378858736341/200000000000000 (/.f64 1 z)))) |
(+.f64 9999999999998099/10000000000000000 (-.f64 (/.f64 6868447169803563/40000000000000 (*.f64 z z)) (+.f64 (/.f64 4919378858736341/200000000000000 z) (/.f64 2748699024162993/40000000000000 (pow.f64 z 3))))) |
(+.f64 9999999999998099/10000000000000000 (-.f64 (-.f64 (/.f64 6868447169803563/40000000000000 (*.f64 z z)) (/.f64 2748699024162993/40000000000000 (pow.f64 z 3))) (/.f64 4919378858736341/200000000000000 z))) |
(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 (/.f64 6868447169803563/40000000000000 z) z) (+.f64 (/.f64 -4919378858736341/200000000000000 z) (/.f64 -2748699024162993/40000000000000 (pow.f64 z 3))))) |
9999999999998099/10000000000000000 |
(-.f64 9999999999998099/10000000000000000 (*.f64 4919378858736341/200000000000000 (/.f64 1 z))) |
(-.f64 9999999999998099/10000000000000000 (/.f64 4919378858736341/200000000000000 z)) |
(+.f64 9999999999998099/10000000000000000 (/.f64 -4919378858736341/200000000000000 z)) |
(-.f64 (+.f64 9999999999998099/10000000000000000 (*.f64 6868447169803563/40000000000000 (/.f64 1 (pow.f64 z 2)))) (*.f64 4919378858736341/200000000000000 (/.f64 1 z))) |
(+.f64 9999999999998099/10000000000000000 (-.f64 (/.f64 6868447169803563/40000000000000 (*.f64 z z)) (/.f64 4919378858736341/200000000000000 z))) |
(+.f64 (/.f64 6868447169803563/40000000000000 (*.f64 z z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -4919378858736341/200000000000000 z))) |
(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 (/.f64 6868447169803563/40000000000000 z) z) (/.f64 -4919378858736341/200000000000000 z))) |
(-.f64 (+.f64 9999999999998099/10000000000000000 (*.f64 6868447169803563/40000000000000 (/.f64 1 (pow.f64 z 2)))) (+.f64 (*.f64 2748699024162993/40000000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 4919378858736341/200000000000000 (/.f64 1 z)))) |
(+.f64 9999999999998099/10000000000000000 (-.f64 (/.f64 6868447169803563/40000000000000 (*.f64 z z)) (+.f64 (/.f64 4919378858736341/200000000000000 z) (/.f64 2748699024162993/40000000000000 (pow.f64 z 3))))) |
(+.f64 9999999999998099/10000000000000000 (-.f64 (-.f64 (/.f64 6868447169803563/40000000000000 (*.f64 z z)) (/.f64 2748699024162993/40000000000000 (pow.f64 z 3))) (/.f64 4919378858736341/200000000000000 z))) |
(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 (/.f64 6868447169803563/40000000000000 z) z) (+.f64 (/.f64 -4919378858736341/200000000000000 z) (/.f64 -2748699024162993/40000000000000 (pow.f64 z 3))))) |
(-.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))))) 1) |
(+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))))) |
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Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 1.0b | (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2)))) |
| ✓ | 1.0b | (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))) |
| ✓ | 1.0b | (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2))) |
| 1.0b | (sqrt.f64 (*.f64 (PI.f64) 2)) |
Compiled 660 to 554 computations (16.1% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | z | @ | 0 | (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2)))) |
| 1.0ms | z | @ | -inf | (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2)))) |
| 1.0ms | z | @ | 0 | (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))) |
| 1.0ms | z | @ | inf | (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2)))) |
| 0.0ms | z | @ | inf | (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2))) |
| 1× | batch-egg-rewrite |
| 368× | add-sqr-sqrt_binary64 |
| 352× | add-log-exp_binary64 |
| 351× | log1p-expm1-u_binary64 |
| 351× | expm1-log1p-u_binary64 |
| 350× | add-cbrt-cube_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 29 | 73 |
| 1 | 724 | 71 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2))) |
(+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))) |
(*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2)))) |
| Outputs |
|---|
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| 1× | egg-herbie |
| 512× | unswap-sqr_binary64 |
| 290× | associate-/r*_binary64 |
| 146× | sqr-pow_binary64 |
| 143× | fma-def_binary64 |
| 141× | associate-*r/_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 338 | 2881 |
| 1 | 914 | 2342 |
| 2 | 3138 | 2309 |
| 1× | node limit |
| Inputs |
|---|
-11173853963059511/30000000000000 |
(-.f64 (*.f64 -5154349522119383/22500000000000 z) 11173853963059511/30000000000000) |
(-.f64 (+.f64 (*.f64 -5154349522119383/22500000000000 z) (*.f64 -69565428553209127/540000000000000 (pow.f64 z 2))) 11173853963059511/30000000000000) |
(-.f64 (+.f64 (*.f64 -5154349522119383/22500000000000 z) (+.f64 (*.f64 -224122754235180443/3240000000000000 (pow.f64 z 3)) (*.f64 -69565428553209127/540000000000000 (pow.f64 z 2)))) 11173853963059511/30000000000000) |
(/.f64 4878157879447497/10000000000000 z) |
(+.f64 (*.f64 2043081471118463/10000000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 4878157879447497/10000000000000 (/.f64 1 z))) |
(-.f64 (+.f64 (*.f64 4878157879447497/10000000000000 (/.f64 1 z)) (*.f64 2043081471118463/10000000000000 (/.f64 1 (pow.f64 z 2)))) (*.f64 19053539921092667/10000000000000 (/.f64 1 (pow.f64 z 3)))) |
(-.f64 (+.f64 (*.f64 4878157879447497/10000000000000 (/.f64 1 z)) (*.f64 2043081471118463/10000000000000 (/.f64 1 (pow.f64 z 2)))) (+.f64 (*.f64 107526188432174113/10000000000000 (/.f64 1 (pow.f64 z 4))) (*.f64 19053539921092667/10000000000000 (/.f64 1 (pow.f64 z 3))))) |
(/.f64 4878157879447497/10000000000000 z) |
(+.f64 (*.f64 2043081471118463/10000000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 4878157879447497/10000000000000 (/.f64 1 z))) |
(-.f64 (+.f64 (*.f64 4878157879447497/10000000000000 (/.f64 1 z)) (*.f64 2043081471118463/10000000000000 (/.f64 1 (pow.f64 z 2)))) (*.f64 19053539921092667/10000000000000 (/.f64 1 (pow.f64 z 3)))) |
(-.f64 (+.f64 (*.f64 4878157879447497/10000000000000 (/.f64 1 z)) (*.f64 2043081471118463/10000000000000 (/.f64 1 (pow.f64 z 2)))) (+.f64 (*.f64 107526188432174113/10000000000000 (/.f64 1 (pow.f64 z 4))) (*.f64 19053539921092667/10000000000000 (/.f64 1 (pow.f64 z 3))))) |
371756020978964147/150000000000000000 |
(+.f64 371756020978964147/150000000000000000 (*.f64 446800080651085577/900000000000000000 z)) |
(+.f64 371756020978964147/150000000000000000 (+.f64 (*.f64 536852952257631293/5400000000000000000 (pow.f64 z 2)) (*.f64 446800080651085577/900000000000000000 z))) |
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(/.f64 -154609652292764811/12500000000000000 z) |
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(fma.f64 (cbrt.f64 (/.f64 12001217776963300659043738858009/625000000000000000000000000000000 (pow.f64 (+.f64 (-.f64 1 z) 5) 2))) (cbrt.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4))) |
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4))) 2) (cbrt.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))) |
(fma.f64 (sqrt.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))) (sqrt.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4))) |
(fma.f64 (sqrt.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4))) (sqrt.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (+.f64 (-.f64 1 z) 13/2))))) 1) |
(pow.f64 (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (+.f64 (-.f64 1 z) 13/2))) 1) |
(pow.f64 (pow.f64 (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (+.f64 (-.f64 1 z) 13/2))) 3) 1/3) |
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (+.f64 (-.f64 1 z) 13/2)))) 3) |
(pow.f64 (sqrt.f64 (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (+.f64 (-.f64 1 z) 13/2)))) 2) |
(sqrt.f64 (pow.f64 (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (+.f64 (-.f64 1 z) 13/2))) 2)) |
(log.f64 (pow.f64 (exp.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (exp.f64 (+.f64 (-.f64 1 z) 13/2)))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (+.f64 (-.f64 1 z) 13/2)))))) |
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (+.f64 (-.f64 1 z) 13/2))) 3)) |
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) 3) (pow.f64 (exp.f64 (+.f64 (-.f64 1 z) 13/2)) 3))) |
(cbrt.f64 (*.f64 (pow.f64 (exp.f64 (+.f64 (-.f64 1 z) 13/2)) 3) (pow.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) 3))) |
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (+.f64 (-.f64 1 z) 13/2))))) |
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (+.f64 (-.f64 1 z) 13/2))))) |
(exp.f64 (+.f64 (+.f64 (-.f64 1 z) 13/2) (*.f64 (+.f64 (-.f64 1 z) -1/2) (log.f64 (+.f64 (-.f64 1 z) 13/2))))) |
(exp.f64 (*.f64 (+.f64 (+.f64 (-.f64 1 z) 13/2) (*.f64 (+.f64 (-.f64 1 z) -1/2) (log.f64 (+.f64 (-.f64 1 z) 13/2)))) 1)) |
| Outputs |
|---|
-11173853963059511/30000000000000 |
(-.f64 (*.f64 -5154349522119383/22500000000000 z) 11173853963059511/30000000000000) |
(fma.f64 -5154349522119383/22500000000000 z -11173853963059511/30000000000000) |
(-.f64 (+.f64 (*.f64 -5154349522119383/22500000000000 z) (*.f64 -69565428553209127/540000000000000 (pow.f64 z 2))) 11173853963059511/30000000000000) |
(+.f64 (fma.f64 -5154349522119383/22500000000000 z (*.f64 -69565428553209127/540000000000000 (*.f64 z z))) -11173853963059511/30000000000000) |
(fma.f64 -5154349522119383/22500000000000 z (fma.f64 -69565428553209127/540000000000000 (*.f64 z z) -11173853963059511/30000000000000)) |
(fma.f64 -5154349522119383/22500000000000 z (fma.f64 z (*.f64 z -69565428553209127/540000000000000) -11173853963059511/30000000000000)) |
(-.f64 (+.f64 (*.f64 -5154349522119383/22500000000000 z) (+.f64 (*.f64 -224122754235180443/3240000000000000 (pow.f64 z 3)) (*.f64 -69565428553209127/540000000000000 (pow.f64 z 2)))) 11173853963059511/30000000000000) |
(+.f64 (fma.f64 -5154349522119383/22500000000000 z (fma.f64 -224122754235180443/3240000000000000 (pow.f64 z 3) (*.f64 -69565428553209127/540000000000000 (*.f64 z z)))) -11173853963059511/30000000000000) |
(+.f64 (fma.f64 -69565428553209127/540000000000000 (*.f64 z z) (*.f64 -224122754235180443/3240000000000000 (pow.f64 z 3))) (fma.f64 -5154349522119383/22500000000000 z -11173853963059511/30000000000000)) |
(+.f64 (*.f64 z (+.f64 -5154349522119383/22500000000000 (*.f64 -69565428553209127/540000000000000 z))) (fma.f64 -224122754235180443/3240000000000000 (pow.f64 z 3) -11173853963059511/30000000000000)) |
(/.f64 4878157879447497/10000000000000 z) |
(+.f64 (*.f64 2043081471118463/10000000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 4878157879447497/10000000000000 (/.f64 1 z))) |
(+.f64 (/.f64 2043081471118463/10000000000000 (*.f64 z z)) (/.f64 4878157879447497/10000000000000 z)) |
(+.f64 (/.f64 (/.f64 2043081471118463/10000000000000 z) z) (/.f64 4878157879447497/10000000000000 z)) |
(-.f64 (+.f64 (*.f64 4878157879447497/10000000000000 (/.f64 1 z)) (*.f64 2043081471118463/10000000000000 (/.f64 1 (pow.f64 z 2)))) (*.f64 19053539921092667/10000000000000 (/.f64 1 (pow.f64 z 3)))) |
(+.f64 (/.f64 4878157879447497/10000000000000 z) (-.f64 (/.f64 2043081471118463/10000000000000 (*.f64 z z)) (/.f64 19053539921092667/10000000000000 (pow.f64 z 3)))) |
(+.f64 (/.f64 2043081471118463/10000000000000 (*.f64 z z)) (+.f64 (/.f64 4878157879447497/10000000000000 z) (/.f64 -19053539921092667/10000000000000 (pow.f64 z 3)))) |
(+.f64 (/.f64 (/.f64 2043081471118463/10000000000000 z) z) (+.f64 (/.f64 4878157879447497/10000000000000 z) (/.f64 -19053539921092667/10000000000000 (pow.f64 z 3)))) |
(-.f64 (+.f64 (*.f64 4878157879447497/10000000000000 (/.f64 1 z)) (*.f64 2043081471118463/10000000000000 (/.f64 1 (pow.f64 z 2)))) (+.f64 (*.f64 107526188432174113/10000000000000 (/.f64 1 (pow.f64 z 4))) (*.f64 19053539921092667/10000000000000 (/.f64 1 (pow.f64 z 3))))) |
(+.f64 (/.f64 4878157879447497/10000000000000 z) (-.f64 (/.f64 2043081471118463/10000000000000 (*.f64 z z)) (+.f64 (/.f64 19053539921092667/10000000000000 (pow.f64 z 3)) (/.f64 107526188432174113/10000000000000 (pow.f64 z 4))))) |
(+.f64 (/.f64 2043081471118463/10000000000000 (*.f64 z z)) (-.f64 (/.f64 4878157879447497/10000000000000 z) (+.f64 (/.f64 19053539921092667/10000000000000 (pow.f64 z 3)) (/.f64 107526188432174113/10000000000000 (pow.f64 z 4))))) |
(-.f64 (-.f64 (/.f64 (/.f64 2043081471118463/10000000000000 z) z) (/.f64 19053539921092667/10000000000000 (pow.f64 z 3))) (-.f64 (/.f64 107526188432174113/10000000000000 (pow.f64 z 4)) (/.f64 4878157879447497/10000000000000 z))) |
(/.f64 4878157879447497/10000000000000 z) |
(+.f64 (*.f64 2043081471118463/10000000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 4878157879447497/10000000000000 (/.f64 1 z))) |
(+.f64 (/.f64 2043081471118463/10000000000000 (*.f64 z z)) (/.f64 4878157879447497/10000000000000 z)) |
(+.f64 (/.f64 (/.f64 2043081471118463/10000000000000 z) z) (/.f64 4878157879447497/10000000000000 z)) |
(-.f64 (+.f64 (*.f64 4878157879447497/10000000000000 (/.f64 1 z)) (*.f64 2043081471118463/10000000000000 (/.f64 1 (pow.f64 z 2)))) (*.f64 19053539921092667/10000000000000 (/.f64 1 (pow.f64 z 3)))) |
(+.f64 (/.f64 4878157879447497/10000000000000 z) (-.f64 (/.f64 2043081471118463/10000000000000 (*.f64 z z)) (/.f64 19053539921092667/10000000000000 (pow.f64 z 3)))) |
(+.f64 (/.f64 2043081471118463/10000000000000 (*.f64 z z)) (+.f64 (/.f64 4878157879447497/10000000000000 z) (/.f64 -19053539921092667/10000000000000 (pow.f64 z 3)))) |
(+.f64 (/.f64 (/.f64 2043081471118463/10000000000000 z) z) (+.f64 (/.f64 4878157879447497/10000000000000 z) (/.f64 -19053539921092667/10000000000000 (pow.f64 z 3)))) |
(-.f64 (+.f64 (*.f64 4878157879447497/10000000000000 (/.f64 1 z)) (*.f64 2043081471118463/10000000000000 (/.f64 1 (pow.f64 z 2)))) (+.f64 (*.f64 107526188432174113/10000000000000 (/.f64 1 (pow.f64 z 4))) (*.f64 19053539921092667/10000000000000 (/.f64 1 (pow.f64 z 3))))) |
(+.f64 (/.f64 4878157879447497/10000000000000 z) (-.f64 (/.f64 2043081471118463/10000000000000 (*.f64 z z)) (+.f64 (/.f64 19053539921092667/10000000000000 (pow.f64 z 3)) (/.f64 107526188432174113/10000000000000 (pow.f64 z 4))))) |
(+.f64 (/.f64 2043081471118463/10000000000000 (*.f64 z z)) (-.f64 (/.f64 4878157879447497/10000000000000 z) (+.f64 (/.f64 19053539921092667/10000000000000 (pow.f64 z 3)) (/.f64 107526188432174113/10000000000000 (pow.f64 z 4))))) |
(-.f64 (-.f64 (/.f64 (/.f64 2043081471118463/10000000000000 z) z) (/.f64 19053539921092667/10000000000000 (pow.f64 z 3))) (-.f64 (/.f64 107526188432174113/10000000000000 (pow.f64 z 4)) (/.f64 4878157879447497/10000000000000 z))) |
371756020978964147/150000000000000000 |
(+.f64 371756020978964147/150000000000000000 (*.f64 446800080651085577/900000000000000000 z)) |
(+.f64 371756020978964147/150000000000000000 (*.f64 z 446800080651085577/900000000000000000)) |
(fma.f64 z 446800080651085577/900000000000000000 371756020978964147/150000000000000000) |
(+.f64 371756020978964147/150000000000000000 (+.f64 (*.f64 536852952257631293/5400000000000000000 (pow.f64 z 2)) (*.f64 446800080651085577/900000000000000000 z))) |
(+.f64 371756020978964147/150000000000000000 (fma.f64 536852952257631293/5400000000000000000 (*.f64 z z) (*.f64 z 446800080651085577/900000000000000000))) |
(+.f64 371756020978964147/150000000000000000 (fma.f64 z 446800080651085577/900000000000000000 (*.f64 z (*.f64 z 536852952257631293/5400000000000000000)))) |
(+.f64 371756020978964147/150000000000000000 (*.f64 z (+.f64 446800080651085577/900000000000000000 (*.f64 536852952257631293/5400000000000000000 z)))) |
(+.f64 371756020978964147/150000000000000000 (+.f64 (*.f64 536852952257631293/5400000000000000000 (pow.f64 z 2)) (+.f64 (*.f64 446800080651085577/900000000000000000 z) (*.f64 3224581990927430761/162000000000000000000 (pow.f64 z 3))))) |
(+.f64 371756020978964147/150000000000000000 (fma.f64 536852952257631293/5400000000000000000 (*.f64 z z) (fma.f64 446800080651085577/900000000000000000 z (*.f64 (pow.f64 z 3) 3224581990927430761/162000000000000000000)))) |
(+.f64 371756020978964147/150000000000000000 (fma.f64 (*.f64 z z) 536852952257631293/5400000000000000000 (fma.f64 z 446800080651085577/900000000000000000 (*.f64 (pow.f64 z 3) 3224581990927430761/162000000000000000000)))) |
(/.f64 -154609652292764811/12500000000000000 z) |
(neg.f64 (+.f64 (*.f64 1542632245546005107/25000000000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 154609652292764811/12500000000000000 (/.f64 1 z)))) |
(neg.f64 (+.f64 (/.f64 1542632245546005107/25000000000000000 (*.f64 z z)) (/.f64 154609652292764811/12500000000000000 z))) |
(-.f64 (/.f64 -154609652292764811/12500000000000000 z) (/.f64 (/.f64 1542632245546005107/25000000000000000 z) z)) |
(-.f64 (/.f64 (/.f64 -1542632245546005107/25000000000000000 z) z) (/.f64 154609652292764811/12500000000000000 z)) |
(neg.f64 (+.f64 (*.f64 7692375563440167517/25000000000000000 (/.f64 1 (pow.f64 z 3))) (+.f64 (*.f64 1542632245546005107/25000000000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 154609652292764811/12500000000000000 (/.f64 1 z))))) |
(neg.f64 (+.f64 (+.f64 (/.f64 1542632245546005107/25000000000000000 (*.f64 z z)) (/.f64 154609652292764811/12500000000000000 z)) (/.f64 7692375563440167517/25000000000000000 (pow.f64 z 3)))) |
(+.f64 (-.f64 (/.f64 -154609652292764811/12500000000000000 z) (/.f64 (/.f64 1542632245546005107/25000000000000000 z) z)) (/.f64 -7692375563440167517/25000000000000000 (pow.f64 z 3))) |
(+.f64 (-.f64 (/.f64 (/.f64 -1542632245546005107/25000000000000000 z) z) (/.f64 154609652292764811/12500000000000000 z)) (/.f64 -7692375563440167517/25000000000000000 (pow.f64 z 3))) |
(neg.f64 (+.f64 (*.f64 38337163831461689477/25000000000000000 (/.f64 1 (pow.f64 z 4))) (+.f64 (*.f64 7692375563440167517/25000000000000000 (/.f64 1 (pow.f64 z 3))) (+.f64 (*.f64 1542632245546005107/25000000000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 154609652292764811/12500000000000000 (/.f64 1 z)))))) |
(neg.f64 (+.f64 (+.f64 (/.f64 38337163831461689477/25000000000000000 (pow.f64 z 4)) (/.f64 7692375563440167517/25000000000000000 (pow.f64 z 3))) (+.f64 (/.f64 1542632245546005107/25000000000000000 (*.f64 z z)) (/.f64 154609652292764811/12500000000000000 z)))) |
(+.f64 (+.f64 (-.f64 (/.f64 -154609652292764811/12500000000000000 z) (/.f64 (/.f64 1542632245546005107/25000000000000000 z) z)) (/.f64 -7692375563440167517/25000000000000000 (pow.f64 z 3))) (/.f64 -38337163831461689477/25000000000000000 (pow.f64 z 4))) |
(+.f64 (-.f64 (/.f64 (/.f64 -1542632245546005107/25000000000000000 z) z) (/.f64 154609652292764811/12500000000000000 z)) (+.f64 (/.f64 -38337163831461689477/25000000000000000 (pow.f64 z 4)) (/.f64 -7692375563440167517/25000000000000000 (pow.f64 z 3)))) |
(/.f64 -154609652292764811/12500000000000000 z) |
(neg.f64 (+.f64 (*.f64 1542632245546005107/25000000000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 154609652292764811/12500000000000000 (/.f64 1 z)))) |
(neg.f64 (+.f64 (/.f64 1542632245546005107/25000000000000000 (*.f64 z z)) (/.f64 154609652292764811/12500000000000000 z))) |
(-.f64 (/.f64 -154609652292764811/12500000000000000 z) (/.f64 (/.f64 1542632245546005107/25000000000000000 z) z)) |
(-.f64 (/.f64 (/.f64 -1542632245546005107/25000000000000000 z) z) (/.f64 154609652292764811/12500000000000000 z)) |
(neg.f64 (+.f64 (*.f64 7692375563440167517/25000000000000000 (/.f64 1 (pow.f64 z 3))) (+.f64 (*.f64 1542632245546005107/25000000000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 154609652292764811/12500000000000000 (/.f64 1 z))))) |
(neg.f64 (+.f64 (+.f64 (/.f64 1542632245546005107/25000000000000000 (*.f64 z z)) (/.f64 154609652292764811/12500000000000000 z)) (/.f64 7692375563440167517/25000000000000000 (pow.f64 z 3)))) |
(+.f64 (-.f64 (/.f64 -154609652292764811/12500000000000000 z) (/.f64 (/.f64 1542632245546005107/25000000000000000 z) z)) (/.f64 -7692375563440167517/25000000000000000 (pow.f64 z 3))) |
(+.f64 (-.f64 (/.f64 (/.f64 -1542632245546005107/25000000000000000 z) z) (/.f64 154609652292764811/12500000000000000 z)) (/.f64 -7692375563440167517/25000000000000000 (pow.f64 z 3))) |
(neg.f64 (+.f64 (*.f64 38337163831461689477/25000000000000000 (/.f64 1 (pow.f64 z 4))) (+.f64 (*.f64 7692375563440167517/25000000000000000 (/.f64 1 (pow.f64 z 3))) (+.f64 (*.f64 1542632245546005107/25000000000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 154609652292764811/12500000000000000 (/.f64 1 z)))))) |
(neg.f64 (+.f64 (+.f64 (/.f64 38337163831461689477/25000000000000000 (pow.f64 z 4)) (/.f64 7692375563440167517/25000000000000000 (pow.f64 z 3))) (+.f64 (/.f64 1542632245546005107/25000000000000000 (*.f64 z z)) (/.f64 154609652292764811/12500000000000000 z)))) |
(+.f64 (+.f64 (-.f64 (/.f64 -154609652292764811/12500000000000000 z) (/.f64 (/.f64 1542632245546005107/25000000000000000 z) z)) (/.f64 -7692375563440167517/25000000000000000 (pow.f64 z 3))) (/.f64 -38337163831461689477/25000000000000000 (pow.f64 z 4))) |
(+.f64 (-.f64 (/.f64 (/.f64 -1542632245546005107/25000000000000000 z) z) (/.f64 154609652292764811/12500000000000000 z)) (+.f64 (/.f64 -38337163831461689477/25000000000000000 (pow.f64 z 4)) (/.f64 -7692375563440167517/25000000000000000 (pow.f64 z 3)))) |
(*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) |
(+.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (*.f64 (+.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) z)) |
(fma.f64 (exp.f64 -15/2) (sqrt.f64 15/2) (*.f64 z (*.f64 (+.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 1) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))) |
(fma.f64 z (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (neg.f64 (log.f64 15/2)) 14/15)) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) |
(*.f64 (+.f64 (*.f64 z (fma.f64 -1 (log.f64 15/2) 14/15)) 1) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) |
(+.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (*.f64 (+.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) z) (*.f64 (+.f64 (*.f64 (+.f64 29/225 (*.f64 1/2 (pow.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) 2))) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (+.f64 (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (*.f64 1/2 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))) (pow.f64 z 2)))) |
(fma.f64 (exp.f64 -15/2) (sqrt.f64 15/2) (fma.f64 (*.f64 (+.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 1) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z (*.f64 (*.f64 z z) (fma.f64 (+.f64 29/225 (*.f64 1/2 (pow.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 2))) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 1/2)))))) |
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(sqrt.f64 (pow.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))) 2)) |
(+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 4 (-.f64 1 z))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))) |
(+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) |
(log.f64 (exp.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))))) |
(+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 4 (-.f64 1 z))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))) |
(+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) |
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)))))) |
(+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 4 (-.f64 1 z))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))) |
(+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) |
(cbrt.f64 (pow.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))) 3)) |
(+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 4 (-.f64 1 z))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))) |
(+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) |
(expm1.f64 (log1p.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))))) |
(+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 4 (-.f64 1 z))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))) |
(+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) |
(log1p.f64 (expm1.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))))) |
(+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 4 (-.f64 1 z))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))) |
(+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) |
(exp.f64 (log.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))))) |
(+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 4 (-.f64 1 z))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))) |
(+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) |
(exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)))) 1)) |
(+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 4 (-.f64 1 z))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))) |
(+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) |
(fma.f64 1 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))) |
(+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 4 (-.f64 1 z))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))) |
(+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) |
(fma.f64 1 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4))) |
(+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 4 (-.f64 1 z))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))) |
(+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) |
(fma.f64 2501468655737381/200000000000000 (/.f64 1 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))) |
(+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 4 (-.f64 1 z))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))) |
(+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) |
(fma.f64 -3464277381643003/25000000000000000 (/.f64 1 (+.f64 (-.f64 1 z) 5)) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4))) |
(+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 4 (-.f64 1 z))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))) |
(+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) |
(fma.f64 (cbrt.f64 (/.f64 12001217776963300659043738858009/625000000000000000000000000000000 (pow.f64 (+.f64 (-.f64 1 z) 5) 2))) (cbrt.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4))) |
(fma.f64 (cbrt.f64 (/.f64 12001217776963300659043738858009/625000000000000000000000000000000 (pow.f64 (+.f64 (-.f64 1 z) 5) 2))) (cbrt.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))) (/.f64 2501468655737381/200000000000000 (+.f64 4 (-.f64 1 z)))) |
(fma.f64 (cbrt.f64 (/.f64 12001217776963300659043738858009/625000000000000000000000000000000 (pow.f64 (-.f64 6 z) 2))) (cbrt.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) |
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4))) 2) (cbrt.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))) |
(+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 4 (-.f64 1 z))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))) |
(+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) |
(fma.f64 (sqrt.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))) (sqrt.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4))) |
(+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 4 (-.f64 1 z))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))) |
(+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) |
(fma.f64 (sqrt.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4))) (sqrt.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))) |
(+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 4 (-.f64 1 z))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))) |
(+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (+.f64 (-.f64 1 z) 13/2))))) 1) |
(*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (+.f64 (-.f64 1 z) 13/2))) |
(exp.f64 (fma.f64 (log.f64 (-.f64 15/2 z)) (-.f64 1/2 z) (-.f64 15/2 z))) |
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z))) |
(pow.f64 (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (+.f64 (-.f64 1 z) 13/2))) 1) |
(*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (+.f64 (-.f64 1 z) 13/2))) |
(exp.f64 (fma.f64 (log.f64 (-.f64 15/2 z)) (-.f64 1/2 z) (-.f64 15/2 z))) |
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z))) |
(pow.f64 (pow.f64 (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (+.f64 (-.f64 1 z) 13/2))) 3) 1/3) |
(*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (+.f64 (-.f64 1 z) 13/2))) |
(exp.f64 (fma.f64 (log.f64 (-.f64 15/2 z)) (-.f64 1/2 z) (-.f64 15/2 z))) |
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z))) |
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (+.f64 (-.f64 1 z) 13/2)))) 3) |
(*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (+.f64 (-.f64 1 z) 13/2))) |
(exp.f64 (fma.f64 (log.f64 (-.f64 15/2 z)) (-.f64 1/2 z) (-.f64 15/2 z))) |
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z))) |
(pow.f64 (sqrt.f64 (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (+.f64 (-.f64 1 z) 13/2)))) 2) |
(*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (+.f64 (-.f64 1 z) 13/2))) |
(exp.f64 (fma.f64 (log.f64 (-.f64 15/2 z)) (-.f64 1/2 z) (-.f64 15/2 z))) |
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z))) |
(sqrt.f64 (pow.f64 (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (+.f64 (-.f64 1 z) 13/2))) 2)) |
(*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (+.f64 (-.f64 1 z) 13/2))) |
(exp.f64 (fma.f64 (log.f64 (-.f64 15/2 z)) (-.f64 1/2 z) (-.f64 15/2 z))) |
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z))) |
(log.f64 (pow.f64 (exp.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (exp.f64 (+.f64 (-.f64 1 z) 13/2)))) |
(*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (+.f64 (-.f64 1 z) 13/2))) |
(exp.f64 (fma.f64 (log.f64 (-.f64 15/2 z)) (-.f64 1/2 z) (-.f64 15/2 z))) |
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (+.f64 (-.f64 1 z) 13/2)))))) |
(*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (+.f64 (-.f64 1 z) 13/2))) |
(exp.f64 (fma.f64 (log.f64 (-.f64 15/2 z)) (-.f64 1/2 z) (-.f64 15/2 z))) |
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z))) |
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (+.f64 (-.f64 1 z) 13/2))) 3)) |
(*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (+.f64 (-.f64 1 z) 13/2))) |
(exp.f64 (fma.f64 (log.f64 (-.f64 15/2 z)) (-.f64 1/2 z) (-.f64 15/2 z))) |
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z))) |
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) 3) (pow.f64 (exp.f64 (+.f64 (-.f64 1 z) 13/2)) 3))) |
(*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (+.f64 (-.f64 1 z) 13/2))) |
(exp.f64 (fma.f64 (log.f64 (-.f64 15/2 z)) (-.f64 1/2 z) (-.f64 15/2 z))) |
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z))) |
(cbrt.f64 (*.f64 (pow.f64 (exp.f64 (+.f64 (-.f64 1 z) 13/2)) 3) (pow.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) 3))) |
(*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (+.f64 (-.f64 1 z) 13/2))) |
(exp.f64 (fma.f64 (log.f64 (-.f64 15/2 z)) (-.f64 1/2 z) (-.f64 15/2 z))) |
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z))) |
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (+.f64 (-.f64 1 z) 13/2))))) |
(*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (+.f64 (-.f64 1 z) 13/2))) |
(exp.f64 (fma.f64 (log.f64 (-.f64 15/2 z)) (-.f64 1/2 z) (-.f64 15/2 z))) |
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z))) |
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (+.f64 (-.f64 1 z) 13/2))))) |
(*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (+.f64 (-.f64 1 z) 13/2))) |
(exp.f64 (fma.f64 (log.f64 (-.f64 15/2 z)) (-.f64 1/2 z) (-.f64 15/2 z))) |
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z))) |
(exp.f64 (+.f64 (+.f64 (-.f64 1 z) 13/2) (*.f64 (+.f64 (-.f64 1 z) -1/2) (log.f64 (+.f64 (-.f64 1 z) 13/2))))) |
(*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (+.f64 (-.f64 1 z) 13/2))) |
(exp.f64 (fma.f64 (log.f64 (-.f64 15/2 z)) (-.f64 1/2 z) (-.f64 15/2 z))) |
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z))) |
(exp.f64 (*.f64 (+.f64 (+.f64 (-.f64 1 z) 13/2) (*.f64 (+.f64 (-.f64 1 z) -1/2) (log.f64 (+.f64 (-.f64 1 z) 13/2)))) 1)) |
(*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (+.f64 (-.f64 1 z) 13/2))) |
(exp.f64 (fma.f64 (log.f64 (-.f64 15/2 z)) (-.f64 1/2 z) (-.f64 15/2 z))) |
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z))) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 1.0b | (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2) (+.f64 (-.f64 (-.f64 1 z) 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2)))) |
| 1.0b | (sqrt.f64 (*.f64 (PI.f64) 2)) | |
| ✓ | 2.8b | (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 2))) |
| ✓ | 7.7b | (-.f64 (-.f64 1 z) 1) |
Compiled 894 to 784 computations (12.3% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | z | @ | 0 | (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2) (+.f64 (-.f64 (-.f64 1 z) 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2)))) |
| 1.0ms | z | @ | inf | (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2) (+.f64 (-.f64 (-.f64 1 z) 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2)))) |
| 1.0ms | z | @ | -inf | (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2) (+.f64 (-.f64 (-.f64 1 z) 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2)))) |
| 0.0ms | z | @ | 0 | (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 2))) |
| 0.0ms | z | @ | inf | (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 2))) |
| 1× | batch-egg-rewrite |
| 346× | add-sqr-sqrt_binary64 |
| 327× | add-log-exp_binary64 |
| 327× | pow1_binary64 |
| 326× | *-un-lft-identity_binary64 |
| 326× | log1p-expm1-u_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 28 | 76 |
| 1 | 685 | 57 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (-.f64 1 z) 1) |
(+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 2))) |
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2) (+.f64 (-.f64 (-.f64 1 z) 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2)))) |
| Outputs |
|---|
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| 1× | egg-herbie |
| 501× | unswap-sqr_binary64 |
| 236× | fma-def_binary64 |
| 214× | associate-*l*_binary64 |
| 214× | times-frac_binary64 |
| 210× | associate-*r*_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 382 | 3395 |
| 1 | 1130 | 3133 |
| 2 | 4272 | 3086 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -1 z) |
(*.f64 -1 z) |
(*.f64 -1 z) |
(*.f64 -1 z) |
(*.f64 -1 z) |
(*.f64 -1 z) |
(*.f64 -1 z) |
(*.f64 -1 z) |
(*.f64 -1 z) |
(*.f64 -1 z) |
(*.f64 -1 z) |
(*.f64 -1 z) |
479507597606835099/10000000000000000 |
(+.f64 479507597606835099/10000000000000000 (*.f64 904338909853211/2500000000000 z)) |
(+.f64 (*.f64 2076511864126339/4000000000000 (pow.f64 z 2)) (+.f64 479507597606835099/10000000000000000 (*.f64 904338909853211/2500000000000 z))) |
(+.f64 (*.f64 2076511864126339/4000000000000 (pow.f64 z 2)) (+.f64 (*.f64 23912966683069397/40000000000000 (pow.f64 z 3)) (+.f64 479507597606835099/10000000000000000 (*.f64 904338909853211/2500000000000 z)))) |
9999999999998099/10000000000000000 |
(+.f64 9999999999998099/10000000000000000 (*.f64 5826188486005177/10000000000000 (/.f64 1 z))) |
(+.f64 (*.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 9999999999998099/10000000000000000 (*.f64 5826188486005177/10000000000000 (/.f64 1 z)))) |
(+.f64 (*.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 9999999999998099/10000000000000000 (+.f64 (*.f64 5826188486005177/10000000000000 (/.f64 1 z)) (*.f64 43600364987677261/10000000000000 (/.f64 1 (pow.f64 z 3)))))) |
9999999999998099/10000000000000000 |
(+.f64 9999999999998099/10000000000000000 (*.f64 5826188486005177/10000000000000 (/.f64 1 z))) |
(+.f64 (*.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 9999999999998099/10000000000000000 (*.f64 5826188486005177/10000000000000 (/.f64 1 z)))) |
(+.f64 (*.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 9999999999998099/10000000000000000 (+.f64 (*.f64 5826188486005177/10000000000000 (/.f64 1 z)) (*.f64 43600364987677261/10000000000000 (/.f64 1 (pow.f64 z 3)))))) |
(*.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64))) |
(+.f64 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64))) (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (+.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) z)) (sqrt.f64 (PI.f64)))) |
(+.f64 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64))) (+.f64 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (+.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) z)) (sqrt.f64 (PI.f64))) (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (+.f64 (*.f64 (+.f64 29/225 (*.f64 1/2 (pow.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) 2))) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (+.f64 (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (*.f64 1/2 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))) (pow.f64 z 2))) (sqrt.f64 (PI.f64))))) |
(+.f64 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64))) (+.f64 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (+.f64 (*.f64 (+.f64 29/225 (*.f64 1/2 (pow.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) 2))) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (+.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (+.f64 (*.f64 29/225 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15)) (+.f64 86/10125 (*.f64 1/6 (pow.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) 3)))))) (+.f64 (*.f64 1/2 (*.f64 (exp.f64 -15/2) (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (sqrt.f64 15/2)))) (*.f64 1/6 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))))) (pow.f64 z 3))) (sqrt.f64 (PI.f64))) (+.f64 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (+.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) z)) (sqrt.f64 (PI.f64))) (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (+.f64 (*.f64 (+.f64 29/225 (*.f64 1/2 (pow.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) 2))) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (+.f64 (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (*.f64 1/2 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))) (pow.f64 z 2))) (sqrt.f64 (PI.f64)))))) |
(*.f64 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) (sqrt.f64 (PI.f64))) |
(*.f64 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) (sqrt.f64 (PI.f64))) |
(*.f64 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) (sqrt.f64 (PI.f64))) |
(*.f64 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) (sqrt.f64 (PI.f64))) |
(*.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))) (exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2))))) (sqrt.f64 (PI.f64))) |
(*.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))) (exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2))))) (sqrt.f64 (PI.f64))) |
(*.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))) (exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2))))) (sqrt.f64 (PI.f64))) |
(*.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))) (exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2))))) (sqrt.f64 (PI.f64))) |
(+.f64 (-.f64 1 z) -1) |
(*.f64 1 (neg.f64 z)) |
(*.f64 (pow.f64 (cbrt.f64 (neg.f64 z)) 2) (cbrt.f64 (neg.f64 z))) |
(*.f64 (sqrt.f64 (neg.f64 z)) (sqrt.f64 (neg.f64 z))) |
(/.f64 1 (/.f64 (+.f64 (pow.f64 (-.f64 1 z) 2) (+.f64 1 (*.f64 (-.f64 1 z) 1))) (-.f64 (pow.f64 (-.f64 1 z) 3) 1))) |
(/.f64 1 (/.f64 (+.f64 (neg.f64 z) 2) (-.f64 (pow.f64 (-.f64 1 z) 2) 1))) |
(/.f64 (-.f64 (pow.f64 (-.f64 1 z) 3) 1) (+.f64 (pow.f64 (-.f64 1 z) 2) (+.f64 1 (*.f64 (-.f64 1 z) 1)))) |
(/.f64 (-.f64 (pow.f64 (-.f64 1 z) 2) 1) (+.f64 (neg.f64 z) 2)) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 1 z) 3) 1)) (neg.f64 (+.f64 (pow.f64 (-.f64 1 z) 2) (+.f64 1 (*.f64 (-.f64 1 z) 1))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 1 z) 2) 1)) (neg.f64 (+.f64 (neg.f64 z) 2))) |
(/.f64 (-.f64 1 (pow.f64 (+.f64 z 1) 3)) (+.f64 1 (+.f64 (*.f64 (+.f64 z 1) (+.f64 z 1)) (+.f64 z 1)))) |
(/.f64 (+.f64 (pow.f64 (-.f64 1 z) 3) -1) (+.f64 (pow.f64 (-.f64 1 z) 2) (-.f64 1 (*.f64 (-.f64 1 z) -1)))) |
(pow.f64 (neg.f64 z) 1) |
(pow.f64 (cbrt.f64 (neg.f64 z)) 3) |
(pow.f64 (sqrt.f64 (neg.f64 z)) 2) |
(pow.f64 (pow.f64 (neg.f64 z) 3) 1/3) |
(neg.f64 z) |
(sqrt.f64 (pow.f64 (neg.f64 z) 2)) |
(log.f64 (exp.f64 (neg.f64 z))) |
(log.f64 (+.f64 1 (expm1.f64 (neg.f64 z)))) |
(log.f64 (/.f64 1 (exp.f64 z))) |
(cbrt.f64 (pow.f64 (neg.f64 z) 3)) |
(expm1.f64 (log1p.f64 (neg.f64 z))) |
(log1p.f64 (expm1.f64 (neg.f64 z))) |
(exp.f64 (log.f64 (neg.f64 z))) |
(exp.f64 (*.f64 (log.f64 (neg.f64 z)) 1)) |
(fma.f64 1 (-.f64 1 z) -1) |
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 1 z)) 2) (cbrt.f64 (-.f64 1 z)) -1) |
(fma.f64 (sqrt.f64 (-.f64 1 z)) (sqrt.f64 (-.f64 1 z)) -1) |
(-.f64 (exp.f64 (log1p.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 (neg.f64 z) 2)))))) 1) |
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(sqrt.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (+.f64 (neg.f64 z) 15/2)))) 2)) |
(log.f64 (pow.f64 (exp.f64 (exp.f64 (+.f64 (neg.f64 z) 15/2))) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2))))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (+.f64 (neg.f64 z) 15/2))))))) |
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (+.f64 (neg.f64 z) 15/2)))) 3)) |
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2))) 3) (pow.f64 (exp.f64 (+.f64 (neg.f64 z) 15/2)) 3))) |
(cbrt.f64 (*.f64 (pow.f64 (exp.f64 (+.f64 (neg.f64 z) 15/2)) 3) (pow.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2))) 3))) |
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (+.f64 (neg.f64 z) 15/2)))))) |
(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (+.f64 (neg.f64 z) 15/2)))))) |
(exp.f64 (+.f64 (+.f64 (neg.f64 z) 15/2) (log.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)))))) |
(exp.f64 (*.f64 (+.f64 (+.f64 (neg.f64 z) 15/2) (log.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2))))) 1)) |
| Outputs |
|---|
(*.f64 -1 z) |
(neg.f64 z) |
(*.f64 -1 z) |
(neg.f64 z) |
(*.f64 -1 z) |
(neg.f64 z) |
(*.f64 -1 z) |
(neg.f64 z) |
(*.f64 -1 z) |
(neg.f64 z) |
(*.f64 -1 z) |
(neg.f64 z) |
(*.f64 -1 z) |
(neg.f64 z) |
(*.f64 -1 z) |
(neg.f64 z) |
(*.f64 -1 z) |
(neg.f64 z) |
(*.f64 -1 z) |
(neg.f64 z) |
(*.f64 -1 z) |
(neg.f64 z) |
(*.f64 -1 z) |
(neg.f64 z) |
479507597606835099/10000000000000000 |
(+.f64 479507597606835099/10000000000000000 (*.f64 904338909853211/2500000000000 z)) |
(+.f64 479507597606835099/10000000000000000 (*.f64 z 904338909853211/2500000000000)) |
(fma.f64 z 904338909853211/2500000000000 479507597606835099/10000000000000000) |
(+.f64 (*.f64 2076511864126339/4000000000000 (pow.f64 z 2)) (+.f64 479507597606835099/10000000000000000 (*.f64 904338909853211/2500000000000 z))) |
(fma.f64 2076511864126339/4000000000000 (*.f64 z z) (+.f64 479507597606835099/10000000000000000 (*.f64 z 904338909853211/2500000000000))) |
(fma.f64 2076511864126339/4000000000000 (*.f64 z z) (fma.f64 z 904338909853211/2500000000000 479507597606835099/10000000000000000)) |
(+.f64 (*.f64 2076511864126339/4000000000000 (pow.f64 z 2)) (+.f64 (*.f64 23912966683069397/40000000000000 (pow.f64 z 3)) (+.f64 479507597606835099/10000000000000000 (*.f64 904338909853211/2500000000000 z)))) |
(fma.f64 2076511864126339/4000000000000 (*.f64 z z) (fma.f64 23912966683069397/40000000000000 (pow.f64 z 3) (+.f64 479507597606835099/10000000000000000 (*.f64 z 904338909853211/2500000000000)))) |
(fma.f64 2076511864126339/4000000000000 (*.f64 z z) (fma.f64 23912966683069397/40000000000000 (pow.f64 z 3) (fma.f64 z 904338909853211/2500000000000 479507597606835099/10000000000000000))) |
9999999999998099/10000000000000000 |
(+.f64 9999999999998099/10000000000000000 (*.f64 5826188486005177/10000000000000 (/.f64 1 z))) |
(+.f64 9999999999998099/10000000000000000 (/.f64 5826188486005177/10000000000000 z)) |
(+.f64 (*.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 9999999999998099/10000000000000000 (*.f64 5826188486005177/10000000000000 (/.f64 1 z)))) |
(+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 5826188486005177/10000000000000 z)) (/.f64 3683516130645841/2000000000000 (*.f64 z z))) |
(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 5826188486005177/10000000000000 z) (/.f64 3683516130645841/2000000000000 (*.f64 z z)))) |
(+.f64 (*.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 9999999999998099/10000000000000000 (+.f64 (*.f64 5826188486005177/10000000000000 (/.f64 1 z)) (*.f64 43600364987677261/10000000000000 (/.f64 1 (pow.f64 z 3)))))) |
(+.f64 (+.f64 (/.f64 3683516130645841/2000000000000 (*.f64 z z)) 9999999999998099/10000000000000000) (+.f64 (/.f64 5826188486005177/10000000000000 z) (/.f64 43600364987677261/10000000000000 (pow.f64 z 3)))) |
(+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 5826188486005177/10000000000000 z)) (+.f64 (/.f64 43600364987677261/10000000000000 (pow.f64 z 3)) (/.f64 3683516130645841/2000000000000 (*.f64 z z)))) |
(+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 5826188486005177/10000000000000 z) (/.f64 43600364987677261/10000000000000 (pow.f64 z 3))) (/.f64 3683516130645841/2000000000000 (*.f64 z z)))) |
9999999999998099/10000000000000000 |
(+.f64 9999999999998099/10000000000000000 (*.f64 5826188486005177/10000000000000 (/.f64 1 z))) |
(+.f64 9999999999998099/10000000000000000 (/.f64 5826188486005177/10000000000000 z)) |
(+.f64 (*.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 9999999999998099/10000000000000000 (*.f64 5826188486005177/10000000000000 (/.f64 1 z)))) |
(+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 5826188486005177/10000000000000 z)) (/.f64 3683516130645841/2000000000000 (*.f64 z z))) |
(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 5826188486005177/10000000000000 z) (/.f64 3683516130645841/2000000000000 (*.f64 z z)))) |
(+.f64 (*.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 9999999999998099/10000000000000000 (+.f64 (*.f64 5826188486005177/10000000000000 (/.f64 1 z)) (*.f64 43600364987677261/10000000000000 (/.f64 1 (pow.f64 z 3)))))) |
(+.f64 (+.f64 (/.f64 3683516130645841/2000000000000 (*.f64 z z)) 9999999999998099/10000000000000000) (+.f64 (/.f64 5826188486005177/10000000000000 z) (/.f64 43600364987677261/10000000000000 (pow.f64 z 3)))) |
(+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 5826188486005177/10000000000000 z)) (+.f64 (/.f64 43600364987677261/10000000000000 (pow.f64 z 3)) (/.f64 3683516130645841/2000000000000 (*.f64 z z)))) |
(+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 5826188486005177/10000000000000 z) (/.f64 43600364987677261/10000000000000 (pow.f64 z 3))) (/.f64 3683516130645841/2000000000000 (*.f64 z z)))) |
(*.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64))) |
(*.f64 (sqrt.f64 2) (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (sqrt.f64 (PI.f64)))) |
(*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (*.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64)))) |
(*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (sqrt.f64 (PI.f64))))) |
(+.f64 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64))) (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (+.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) z)) (sqrt.f64 (PI.f64)))) |
(*.f64 (sqrt.f64 (PI.f64)) (+.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (+.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 1) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) z))) |
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 2) (+.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (*.f64 z (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (neg.f64 (log.f64 15/2)) 14/15)))))) |
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 2) (+.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (*.f64 (*.f64 z (fma.f64 -1 (log.f64 15/2) 14/15)) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))))) |
(+.f64 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64))) (+.f64 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (+.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) z)) (sqrt.f64 (PI.f64))) (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (+.f64 (*.f64 (+.f64 29/225 (*.f64 1/2 (pow.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) 2))) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (+.f64 (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (*.f64 1/2 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))) (pow.f64 z 2))) (sqrt.f64 (PI.f64))))) |
(fma.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) (+.f64 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (+.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 1) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) z) (*.f64 (sqrt.f64 2) (*.f64 (*.f64 z z) (fma.f64 (+.f64 29/225 (*.f64 1/2 (pow.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 2))) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 1/2)))))))) |
(*.f64 (sqrt.f64 (PI.f64)) (+.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (*.f64 z (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (neg.f64 (log.f64 15/2)) 14/15))))) (*.f64 (sqrt.f64 2) (*.f64 (*.f64 z z) (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (fma.f64 1/2 (pow.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 2) 29/225) (+.f64 (neg.f64 (log.f64 15/2)) 13/30))))))) |
(*.f64 (sqrt.f64 (PI.f64)) (+.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (*.f64 (*.f64 z (fma.f64 -1 (log.f64 15/2) 14/15)) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))) (*.f64 (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (fma.f64 1/2 (pow.f64 (-.f64 -1/15 (log.f64 15/2)) 2) 29/225) (fma.f64 -1 (log.f64 15/2) 13/30))) (*.f64 (*.f64 z z) (sqrt.f64 2))))) |
(+.f64 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64))) (+.f64 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (+.f64 (*.f64 (+.f64 29/225 (*.f64 1/2 (pow.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) 2))) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (+.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (+.f64 (*.f64 29/225 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15)) (+.f64 86/10125 (*.f64 1/6 (pow.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) 3)))))) (+.f64 (*.f64 1/2 (*.f64 (exp.f64 -15/2) (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (sqrt.f64 15/2)))) (*.f64 1/6 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))))) (pow.f64 z 3))) (sqrt.f64 (PI.f64))) (+.f64 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (+.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) z)) (sqrt.f64 (PI.f64))) (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (+.f64 (*.f64 (+.f64 29/225 (*.f64 1/2 (pow.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) 2))) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (+.f64 (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (*.f64 1/2 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))) (pow.f64 z 2))) (sqrt.f64 (PI.f64)))))) |
(fma.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64)) (fma.f64 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 z 3) (fma.f64 (+.f64 29/225 (*.f64 1/2 (pow.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 2))) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (fma.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (fma.f64 29/225 (fma.f64 -1 (log.f64 15/2) -1/15) (+.f64 86/10125 (*.f64 1/6 (pow.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 3))))) (fma.f64 1/2 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (fma.f64 -1 (log.f64 15/2) -1/15))) (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) 1/6)))))) (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) (+.f64 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (+.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 1) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) z) (*.f64 (sqrt.f64 2) (*.f64 (*.f64 z z) (fma.f64 (+.f64 29/225 (*.f64 1/2 (pow.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 2))) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 1/2))))))))) |
(fma.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (sqrt.f64 (PI.f64)))) (*.f64 (sqrt.f64 (PI.f64)) (+.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 z (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (neg.f64 (log.f64 15/2)) 14/15))) (*.f64 (*.f64 z z) (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (fma.f64 1/2 (pow.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 2) 29/225) (+.f64 (neg.f64 (log.f64 15/2)) 13/30)))))) (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 z 3) (+.f64 (fma.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) 1/6 (*.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) 1/2)) (fma.f64 -1 (log.f64 15/2) -1/15))) (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (fma.f64 1/2 (pow.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 2) 29/225) (fma.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 29/225 (fma.f64 1/6 (pow.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 3) 86/10125)))))))))) |
(fma.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (sqrt.f64 (PI.f64)))) (*.f64 (sqrt.f64 (PI.f64)) (+.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 (*.f64 z (fma.f64 -1 (log.f64 15/2) 14/15)) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (*.f64 (*.f64 z z) (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (fma.f64 1/2 (pow.f64 (-.f64 -1/15 (log.f64 15/2)) 2) 29/225) (fma.f64 -1 (log.f64 15/2) 13/30)))))) (*.f64 (+.f64 (fma.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) 1/6 (*.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) 1/2)) (-.f64 -1/15 (log.f64 15/2)))) (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (fma.f64 1/2 (pow.f64 (-.f64 -1/15 (log.f64 15/2)) 2) 29/225) (fma.f64 (-.f64 -1/15 (log.f64 15/2)) 29/225 (fma.f64 1/6 (pow.f64 (-.f64 -1/15 (log.f64 15/2)) 3) 86/10125))))) (*.f64 (pow.f64 z 3) (sqrt.f64 2)))))) |
(*.f64 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) (sqrt.f64 (PI.f64))) |
(*.f64 (sqrt.f64 2) (*.f64 (*.f64 (exp.f64 (+.f64 z -15/2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (sqrt.f64 (PI.f64)))) |
(*.f64 (sqrt.f64 2) (*.f64 (exp.f64 (+.f64 z -15/2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (PI.f64))))) |
(*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (exp.f64 (-.f64 z 15/2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))) |
(*.f64 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) (sqrt.f64 (PI.f64))) |
(*.f64 (sqrt.f64 2) (*.f64 (*.f64 (exp.f64 (+.f64 z -15/2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (sqrt.f64 (PI.f64)))) |
(*.f64 (sqrt.f64 2) (*.f64 (exp.f64 (+.f64 z -15/2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (PI.f64))))) |
(*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (exp.f64 (-.f64 z 15/2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))) |
(*.f64 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) (sqrt.f64 (PI.f64))) |
(*.f64 (sqrt.f64 2) (*.f64 (*.f64 (exp.f64 (+.f64 z -15/2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (sqrt.f64 (PI.f64)))) |
(*.f64 (sqrt.f64 2) (*.f64 (exp.f64 (+.f64 z -15/2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (PI.f64))))) |
(*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (exp.f64 (-.f64 z 15/2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))) |
(*.f64 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) (sqrt.f64 (PI.f64))) |
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(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z)))) |
(log.f64 (pow.f64 (exp.f64 (exp.f64 (+.f64 (neg.f64 z) 15/2))) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2))))) |
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z)))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (+.f64 (neg.f64 z) 15/2))))))) |
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z)))) |
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (+.f64 (neg.f64 z) 15/2)))) 3)) |
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z)))) |
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2))) 3) (pow.f64 (exp.f64 (+.f64 (neg.f64 z) 15/2)) 3))) |
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z)))) |
(cbrt.f64 (*.f64 (pow.f64 (exp.f64 (+.f64 (neg.f64 z) 15/2)) 3) (pow.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2))) 3))) |
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z)))) |
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (+.f64 (neg.f64 z) 15/2)))))) |
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z)))) |
(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (+.f64 (neg.f64 z) 15/2)))))) |
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z)))) |
(exp.f64 (+.f64 (+.f64 (neg.f64 z) 15/2) (log.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)))))) |
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z)))) |
(exp.f64 (*.f64 (+.f64 (+.f64 (neg.f64 z) 15/2) (log.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2))))) 1)) |
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z)))) |
Compiled 164592 to 134187 computations (18.5% saved)
21 alts after pruning (20 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1491 | 20 | 1511 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 3 | 1 | 4 |
| Total | 1495 | 21 | 1516 |
| Status | Error | Program |
|---|---|---|
| 1.7b | (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2) (+.f64 (-.f64 (-.f64 1 z) 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 8))))) | |
| 62.7b | (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 4919378858736341/200000000000000 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))) | |
| 62.6b | (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 (+.f64 (/.f64 6868447169803563/40000000000000 (*.f64 z z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -4919378858736341/200000000000000 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))) | |
| 1.5b | (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 646366562873259793/3000000000000000 (*.f64 z 6764801184542762983/90000000000000000)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))) | |
| 2.1b | (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) 646366562873259793/3000000000000000)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))) | |
| 1.0b | (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))) | |
| 1.1b | (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 (+.f64 7902188421553103227/30000000000000000 (*.f64 39321001939258358983/90000000000000000 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))) | |
| ▶ | 1.8b | (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))) |
| 1.4b | (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (*.f64 (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2)))) (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))))) | |
| 0.8b | (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2)))) (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (+.f64 371756020978964147/150000000000000000 (*.f64 z 446800080651085577/900000000000000000)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))))) | |
| 1.4b | (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2)))))) | |
| ▶ | 0.6b | (*.f64 (*.f64 (cbrt.f64 (*.f64 2 (PI.f64))) (sqrt.f64 (cbrt.f64 (*.f64 2 (PI.f64))))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2)))))) |
| 0.8b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 (+.f64 (-.f64 2 z) (*.f64 (*.f64 (-.f64 1 z) 10000000000000/6765203681218851) -3147848041806007/2500000000000)) (*.f64 (*.f64 (-.f64 1 z) 10000000000000/6765203681218851) (-.f64 2 z)))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2)))))) | |
| 0.7b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 (+.f64 (-.f64 1 z) (*.f64 (-.f64 -5000000000000/3147848041806007 (/.f64 z -3147848041806007/2500000000000)) 6765203681218851/10000000000000)) (*.f64 (-.f64 -5000000000000/3147848041806007 (/.f64 z -3147848041806007/2500000000000)) (-.f64 1 z)))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2)))))) | |
| ▶ | 0.7b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 (+.f64 (*.f64 -3147848041806007/2500000000000 (-.f64 1 z)) (*.f64 (-.f64 2 z) 6765203681218851/10000000000000)) (*.f64 (-.f64 2 z) (-.f64 1 z)))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2)))))) |
| ✓ | 0.7b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2)))))) |
| 0.8b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (+.f64 (*.f64 7713234287776531/10000000000000 (/.f64 1 (-.f64 3 z))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2)))))) | |
| 2.0b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (+.f64 7713234287776531/30000000000000 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2)))))) | |
| 1.2b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (+.f64 646366562873259793/3000000000000000 (*.f64 z 6764801184542762983/90000000000000000)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2)))))) | |
| ▶ | 1.9b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 646366562873259793/3000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2)))))) |
| ▶ | 1.3b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 469507597606837/10000000000000 (*.f64 904338909853211/2500000000000 z))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2)))))) |
Compiled 2989 to 2443 computations (18.3% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 1.0b | (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) | |
| ✓ | 1.0b | (sqrt.f64 (cbrt.f64 (*.f64 2 (PI.f64)))) |
| ✓ | 1.0b | (cbrt.f64 (*.f64 2 (PI.f64))) |
| 1.1b | (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) |
Compiled 527 to 403 computations (23.5% saved)
| 1× | batch-egg-rewrite |
| 487× | pow1_binary64 |
| 473× | add-sqr-sqrt_binary64 |
| 455× | add-log-exp_binary64 |
| 455× | log1p-expm1-u_binary64 |
| 455× | expm1-log1p-u_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 16 |
| 1 | 119 | 15 |
| 2 | 1299 | 15 |
| 1× | node limit |
| Inputs |
|---|
(cbrt.f64 (*.f64 2 (PI.f64))) |
(sqrt.f64 (cbrt.f64 (*.f64 2 (PI.f64)))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (cbrt.f64 (*.f64 2 (PI.f64)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 2 (PI.f64))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 2 (PI.f64)) 1/6) (pow.f64 (*.f64 2 (PI.f64)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (*.f64 2 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (*.f64 2 (PI.f64)))) (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 2 (PI.f64)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (*.f64 2 (PI.f64)))) (*.f64 (cbrt.f64 (pow.f64 (*.f64 2 (PI.f64)) 1/6)) (pow.f64 (*.f64 2 (PI.f64)) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 2 (PI.f64)) 2))) (cbrt.f64 (cbrt.f64 (*.f64 2 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 2) (cbrt.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 2 (PI.f64))) 1/4) (*.f64 (pow.f64 (cbrt.f64 (*.f64 2 (PI.f64))) 1/4) (pow.f64 (*.f64 2 (PI.f64)) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (*.f64 2 (PI.f64)) 1/6) (pow.f64 (cbrt.f64 (*.f64 2 (PI.f64))) 1/4)) (pow.f64 (cbrt.f64 (*.f64 2 (PI.f64))) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (*.f64 2 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (*.f64 2 (PI.f64)) 2)) 1/3) (cbrt.f64 (cbrt.f64 (*.f64 2 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (*.f64 2 (PI.f64)) 1/6) (cbrt.f64 (cbrt.f64 (*.f64 2 (PI.f64))))) (cbrt.f64 (pow.f64 (*.f64 2 (PI.f64)) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 2 (PI.f64)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 2 (PI.f64))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 2 (PI.f64)) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (pow.f64 (*.f64 2 (PI.f64)) 2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 2 (PI.f64)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (cbrt.f64 (pow.f64 (*.f64 2 (PI.f64)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (*.f64 2 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 2 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 2 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (*.f64 2 (PI.f64))))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (pow.f64 (*.f64 2 (PI.f64)) 1/6)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 2 (PI.f64)) 1/6) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (*.f64 2 (PI.f64)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 2 (PI.f64)) 1/6)) (cbrt.f64 (cbrt.f64 (*.f64 2 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (*.f64 2 (PI.f64)))) (cbrt.f64 (pow.f64 (*.f64 2 (PI.f64)) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 2 (PI.f64))) 1/4) (pow.f64 (cbrt.f64 (*.f64 2 (PI.f64))) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 2 (PI.f64)) 2)))) (sqrt.f64 (cbrt.f64 (cbrt.f64 (*.f64 2 (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 2)) (sqrt.f64 (cbrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (pow.f64 (*.f64 2 (PI.f64)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 2 (PI.f64)) 2))) 1/2) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 2 (PI.f64)))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 2) 1/2) (pow.f64 (cbrt.f64 (PI.f64)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 2 (PI.f64)) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 2 (PI.f64))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 2 (PI.f64)) 1/6) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (pow.f64 (*.f64 2 (PI.f64)) 1/6)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (*.f64 2 (PI.f64))) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 2 (PI.f64))) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (pow.f64 (*.f64 2 (PI.f64)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (*.f64 2 (PI.f64)) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (sqrt.f64 (*.f64 2 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (*.f64 2 (PI.f64)) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (*.f64 2 (PI.f64)) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (pow.f64 (*.f64 2 (PI.f64)) 1/6))))))) |
| 1× | egg-herbie |
| 614× | log-prod_binary64 |
| 464× | fma-neg_binary64 |
| 393× | associate-*l*_binary64 |
| 377× | fma-def_binary64 |
| 371× | exp-prod_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 92 | 668 |
| 1 | 174 | 566 |
| 2 | 581 | 462 |
| 3 | 3168 | 462 |
| 4 | 7265 | 462 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (+.f64 1 (cbrt.f64 (*.f64 2 (PI.f64)))) 1) |
(*.f64 (cbrt.f64 (*.f64 2 (PI.f64))) 1) |
(*.f64 (pow.f64 (*.f64 2 (PI.f64)) 1/6) (pow.f64 (*.f64 2 (PI.f64)) 1/6)) |
(*.f64 1 (cbrt.f64 (*.f64 2 (PI.f64)))) |
(*.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 2)) |
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 2 (PI.f64)))) (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 2 (PI.f64)) 2)))) |
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 2 (PI.f64)))) (*.f64 (cbrt.f64 (pow.f64 (*.f64 2 (PI.f64)) 1/6)) (pow.f64 (*.f64 2 (PI.f64)) 1/6))) |
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 2 (PI.f64)) 2))) (cbrt.f64 (cbrt.f64 (*.f64 2 (PI.f64))))) |
(*.f64 (cbrt.f64 2) (cbrt.f64 (PI.f64))) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 2 (PI.f64))) 1/4) (*.f64 (pow.f64 (cbrt.f64 (*.f64 2 (PI.f64))) 1/4) (pow.f64 (*.f64 2 (PI.f64)) 1/6))) |
(*.f64 (*.f64 (pow.f64 (*.f64 2 (PI.f64)) 1/6) (pow.f64 (cbrt.f64 (*.f64 2 (PI.f64))) 1/4)) (pow.f64 (cbrt.f64 (*.f64 2 (PI.f64))) 1/4)) |
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (*.f64 2 (PI.f64)))) |
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (*.f64 2 (PI.f64)) 2)) 1/3) (cbrt.f64 (cbrt.f64 (*.f64 2 (PI.f64))))) |
(*.f64 (*.f64 (pow.f64 (*.f64 2 (PI.f64)) 1/6) (cbrt.f64 (cbrt.f64 (*.f64 2 (PI.f64))))) (cbrt.f64 (pow.f64 (*.f64 2 (PI.f64)) 1/6))) |
(pow.f64 (*.f64 2 (PI.f64)) 1/3) |
(pow.f64 (cbrt.f64 (*.f64 2 (PI.f64))) 1) |
(pow.f64 (pow.f64 (*.f64 2 (PI.f64)) 1/6) 2) |
(pow.f64 (cbrt.f64 (pow.f64 (*.f64 2 (PI.f64)) 2)) 1/2) |
(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 2 (PI.f64)))) 3) |
(sqrt.f64 (cbrt.f64 (pow.f64 (*.f64 2 (PI.f64)) 2))) |
(log.f64 (exp.f64 (cbrt.f64 (*.f64 2 (PI.f64))))) |
(expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 2 (PI.f64))))) |
(log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 2 (PI.f64))))) |
(exp.f64 (log.f64 (cbrt.f64 (*.f64 2 (PI.f64))))) |
(-.f64 (+.f64 1 (pow.f64 (*.f64 2 (PI.f64)) 1/6)) 1) |
(*.f64 (pow.f64 (*.f64 2 (PI.f64)) 1/6) 1) |
(*.f64 1 (pow.f64 (*.f64 2 (PI.f64)) 1/6)) |
(*.f64 (cbrt.f64 (pow.f64 (*.f64 2 (PI.f64)) 1/6)) (cbrt.f64 (cbrt.f64 (*.f64 2 (PI.f64))))) |
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 2 (PI.f64)))) (cbrt.f64 (pow.f64 (*.f64 2 (PI.f64)) 1/6))) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 2 (PI.f64))) 1/4) (pow.f64 (cbrt.f64 (*.f64 2 (PI.f64))) 1/4)) |
(*.f64 (sqrt.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 2 (PI.f64)) 2)))) (sqrt.f64 (cbrt.f64 (cbrt.f64 (*.f64 2 (PI.f64)))))) |
(*.f64 (sqrt.f64 (cbrt.f64 2)) (sqrt.f64 (cbrt.f64 (PI.f64)))) |
(*.f64 (pow.f64 1 1/2) (pow.f64 (*.f64 2 (PI.f64)) 1/6)) |
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 2 (PI.f64)) 2))) 1/2) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 2 (PI.f64)))) 1/2)) |
(*.f64 (pow.f64 (cbrt.f64 2) 1/2) (pow.f64 (cbrt.f64 (PI.f64)) 1/2)) |
(pow.f64 (*.f64 2 (PI.f64)) 1/6) |
(pow.f64 (cbrt.f64 (*.f64 2 (PI.f64))) 1/2) |
(pow.f64 (pow.f64 (*.f64 2 (PI.f64)) 1/6) 1) |
(pow.f64 (cbrt.f64 (pow.f64 (*.f64 2 (PI.f64)) 1/6)) 3) |
(pow.f64 (pow.f64 (cbrt.f64 (*.f64 2 (PI.f64))) 1/4) 2) |
(pow.f64 (sqrt.f64 (*.f64 2 (PI.f64))) 1/3) |
(fabs.f64 (pow.f64 (*.f64 2 (PI.f64)) 1/6)) |
(log.f64 (exp.f64 (pow.f64 (*.f64 2 (PI.f64)) 1/6))) |
(cbrt.f64 (sqrt.f64 (*.f64 2 (PI.f64)))) |
(expm1.f64 (log1p.f64 (pow.f64 (*.f64 2 (PI.f64)) 1/6))) |
(log1p.f64 (expm1.f64 (pow.f64 (*.f64 2 (PI.f64)) 1/6))) |
(exp.f64 (log.f64 (pow.f64 (*.f64 2 (PI.f64)) 1/6))) |
| Outputs |
|---|
(-.f64 (+.f64 1 (cbrt.f64 (*.f64 2 (PI.f64)))) 1) |
(+.f64 1 (-.f64 (cbrt.f64 (*.f64 2 (PI.f64))) 1)) |
(+.f64 (cbrt.f64 (*.f64 2 (PI.f64))) 0) |
(cbrt.f64 (*.f64 2 (PI.f64))) |
(*.f64 (cbrt.f64 (*.f64 2 (PI.f64))) 1) |
(+.f64 1 (-.f64 (cbrt.f64 (*.f64 2 (PI.f64))) 1)) |
(+.f64 (cbrt.f64 (*.f64 2 (PI.f64))) 0) |
(cbrt.f64 (*.f64 2 (PI.f64))) |
(*.f64 (pow.f64 (*.f64 2 (PI.f64)) 1/6) (pow.f64 (*.f64 2 (PI.f64)) 1/6)) |
(+.f64 1 (-.f64 (cbrt.f64 (*.f64 2 (PI.f64))) 1)) |
(+.f64 (cbrt.f64 (*.f64 2 (PI.f64))) 0) |
(cbrt.f64 (*.f64 2 (PI.f64))) |
(*.f64 1 (cbrt.f64 (*.f64 2 (PI.f64)))) |
(+.f64 1 (-.f64 (cbrt.f64 (*.f64 2 (PI.f64))) 1)) |
(+.f64 (cbrt.f64 (*.f64 2 (PI.f64))) 0) |
(cbrt.f64 (*.f64 2 (PI.f64))) |
(*.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 2)) |
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 2 (PI.f64)))) (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 2 (PI.f64)) 2)))) |
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 2 (PI.f64)) 2))) (cbrt.f64 (cbrt.f64 (*.f64 2 (PI.f64))))) |
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 2 (PI.f64)))) (*.f64 (cbrt.f64 (pow.f64 (*.f64 2 (PI.f64)) 1/6)) (pow.f64 (*.f64 2 (PI.f64)) 1/6))) |
(+.f64 1 (-.f64 (cbrt.f64 (*.f64 2 (PI.f64))) 1)) |
(+.f64 (cbrt.f64 (*.f64 2 (PI.f64))) 0) |
(cbrt.f64 (*.f64 2 (PI.f64))) |
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 2 (PI.f64)) 2))) (cbrt.f64 (cbrt.f64 (*.f64 2 (PI.f64))))) |
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 2 (PI.f64)))) (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 2 (PI.f64)) 2)))) |
(*.f64 (cbrt.f64 2) (cbrt.f64 (PI.f64))) |
(*.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 2)) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 2 (PI.f64))) 1/4) (*.f64 (pow.f64 (cbrt.f64 (*.f64 2 (PI.f64))) 1/4) (pow.f64 (*.f64 2 (PI.f64)) 1/6))) |
(+.f64 1 (-.f64 (cbrt.f64 (*.f64 2 (PI.f64))) 1)) |
(+.f64 (cbrt.f64 (*.f64 2 (PI.f64))) 0) |
(cbrt.f64 (*.f64 2 (PI.f64))) |
(*.f64 (*.f64 (pow.f64 (*.f64 2 (PI.f64)) 1/6) (pow.f64 (cbrt.f64 (*.f64 2 (PI.f64))) 1/4)) (pow.f64 (cbrt.f64 (*.f64 2 (PI.f64))) 1/4)) |
(+.f64 1 (-.f64 (cbrt.f64 (*.f64 2 (PI.f64))) 1)) |
(+.f64 (cbrt.f64 (*.f64 2 (PI.f64))) 0) |
(cbrt.f64 (*.f64 2 (PI.f64))) |
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (*.f64 2 (PI.f64)))) |
(+.f64 1 (-.f64 (cbrt.f64 (*.f64 2 (PI.f64))) 1)) |
(+.f64 (cbrt.f64 (*.f64 2 (PI.f64))) 0) |
(cbrt.f64 (*.f64 2 (PI.f64))) |
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (*.f64 2 (PI.f64)) 2)) 1/3) (cbrt.f64 (cbrt.f64 (*.f64 2 (PI.f64))))) |
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 2 (PI.f64)))) (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 2 (PI.f64)) 2)))) |
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 2 (PI.f64)) 2))) (cbrt.f64 (cbrt.f64 (*.f64 2 (PI.f64))))) |
(*.f64 (*.f64 (pow.f64 (*.f64 2 (PI.f64)) 1/6) (cbrt.f64 (cbrt.f64 (*.f64 2 (PI.f64))))) (cbrt.f64 (pow.f64 (*.f64 2 (PI.f64)) 1/6))) |
(+.f64 1 (-.f64 (cbrt.f64 (*.f64 2 (PI.f64))) 1)) |
(+.f64 (cbrt.f64 (*.f64 2 (PI.f64))) 0) |
(cbrt.f64 (*.f64 2 (PI.f64))) |
(pow.f64 (*.f64 2 (PI.f64)) 1/3) |
(+.f64 1 (-.f64 (cbrt.f64 (*.f64 2 (PI.f64))) 1)) |
(+.f64 (cbrt.f64 (*.f64 2 (PI.f64))) 0) |
(cbrt.f64 (*.f64 2 (PI.f64))) |
(pow.f64 (cbrt.f64 (*.f64 2 (PI.f64))) 1) |
(+.f64 1 (-.f64 (cbrt.f64 (*.f64 2 (PI.f64))) 1)) |
(+.f64 (cbrt.f64 (*.f64 2 (PI.f64))) 0) |
(cbrt.f64 (*.f64 2 (PI.f64))) |
(pow.f64 (pow.f64 (*.f64 2 (PI.f64)) 1/6) 2) |
(+.f64 1 (-.f64 (cbrt.f64 (*.f64 2 (PI.f64))) 1)) |
(+.f64 (cbrt.f64 (*.f64 2 (PI.f64))) 0) |
(cbrt.f64 (*.f64 2 (PI.f64))) |
(pow.f64 (cbrt.f64 (pow.f64 (*.f64 2 (PI.f64)) 2)) 1/2) |
(sqrt.f64 (cbrt.f64 (pow.f64 (*.f64 2 (PI.f64)) 2))) |
(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 2 (PI.f64)))) 3) |
(+.f64 1 (-.f64 (cbrt.f64 (*.f64 2 (PI.f64))) 1)) |
(+.f64 (cbrt.f64 (*.f64 2 (PI.f64))) 0) |
(cbrt.f64 (*.f64 2 (PI.f64))) |
(sqrt.f64 (cbrt.f64 (pow.f64 (*.f64 2 (PI.f64)) 2))) |
(log.f64 (exp.f64 (cbrt.f64 (*.f64 2 (PI.f64))))) |
(+.f64 1 (-.f64 (cbrt.f64 (*.f64 2 (PI.f64))) 1)) |
(+.f64 (cbrt.f64 (*.f64 2 (PI.f64))) 0) |
(cbrt.f64 (*.f64 2 (PI.f64))) |
(expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 2 (PI.f64))))) |
(+.f64 1 (-.f64 (cbrt.f64 (*.f64 2 (PI.f64))) 1)) |
(+.f64 (cbrt.f64 (*.f64 2 (PI.f64))) 0) |
(cbrt.f64 (*.f64 2 (PI.f64))) |
(log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 2 (PI.f64))))) |
(+.f64 1 (-.f64 (cbrt.f64 (*.f64 2 (PI.f64))) 1)) |
(+.f64 (cbrt.f64 (*.f64 2 (PI.f64))) 0) |
(cbrt.f64 (*.f64 2 (PI.f64))) |
(exp.f64 (log.f64 (cbrt.f64 (*.f64 2 (PI.f64))))) |
(+.f64 1 (-.f64 (cbrt.f64 (*.f64 2 (PI.f64))) 1)) |
(+.f64 (cbrt.f64 (*.f64 2 (PI.f64))) 0) |
(cbrt.f64 (*.f64 2 (PI.f64))) |
(-.f64 (+.f64 1 (pow.f64 (*.f64 2 (PI.f64)) 1/6)) 1) |
(+.f64 (+.f64 1 (pow.f64 (*.f64 2 (PI.f64)) 1/6)) -1) |
(+.f64 (pow.f64 (*.f64 2 (PI.f64)) 1/6) 0) |
(pow.f64 (*.f64 2 (PI.f64)) 1/6) |
(*.f64 (pow.f64 (*.f64 2 (PI.f64)) 1/6) 1) |
(+.f64 (+.f64 1 (pow.f64 (*.f64 2 (PI.f64)) 1/6)) -1) |
(+.f64 (pow.f64 (*.f64 2 (PI.f64)) 1/6) 0) |
(pow.f64 (*.f64 2 (PI.f64)) 1/6) |
(*.f64 1 (pow.f64 (*.f64 2 (PI.f64)) 1/6)) |
(+.f64 (+.f64 1 (pow.f64 (*.f64 2 (PI.f64)) 1/6)) -1) |
(+.f64 (pow.f64 (*.f64 2 (PI.f64)) 1/6) 0) |
(pow.f64 (*.f64 2 (PI.f64)) 1/6) |
(*.f64 (cbrt.f64 (pow.f64 (*.f64 2 (PI.f64)) 1/6)) (cbrt.f64 (cbrt.f64 (*.f64 2 (PI.f64))))) |
(+.f64 (+.f64 1 (pow.f64 (*.f64 2 (PI.f64)) 1/6)) -1) |
(+.f64 (pow.f64 (*.f64 2 (PI.f64)) 1/6) 0) |
(pow.f64 (*.f64 2 (PI.f64)) 1/6) |
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 2 (PI.f64)))) (cbrt.f64 (pow.f64 (*.f64 2 (PI.f64)) 1/6))) |
(+.f64 (+.f64 1 (pow.f64 (*.f64 2 (PI.f64)) 1/6)) -1) |
(+.f64 (pow.f64 (*.f64 2 (PI.f64)) 1/6) 0) |
(pow.f64 (*.f64 2 (PI.f64)) 1/6) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 2 (PI.f64))) 1/4) (pow.f64 (cbrt.f64 (*.f64 2 (PI.f64))) 1/4)) |
(+.f64 (+.f64 1 (pow.f64 (*.f64 2 (PI.f64)) 1/6)) -1) |
(+.f64 (pow.f64 (*.f64 2 (PI.f64)) 1/6) 0) |
(pow.f64 (*.f64 2 (PI.f64)) 1/6) |
(*.f64 (sqrt.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 2 (PI.f64)) 2)))) (sqrt.f64 (cbrt.f64 (cbrt.f64 (*.f64 2 (PI.f64)))))) |
(*.f64 (sqrt.f64 (cbrt.f64 (cbrt.f64 (*.f64 2 (PI.f64))))) (pow.f64 (cbrt.f64 (pow.f64 (*.f64 2 (PI.f64)) 2)) 1/6)) |
(*.f64 (sqrt.f64 (cbrt.f64 2)) (sqrt.f64 (cbrt.f64 (PI.f64)))) |
(*.f64 (pow.f64 1 1/2) (pow.f64 (*.f64 2 (PI.f64)) 1/6)) |
(+.f64 (+.f64 1 (pow.f64 (*.f64 2 (PI.f64)) 1/6)) -1) |
(+.f64 (pow.f64 (*.f64 2 (PI.f64)) 1/6) 0) |
(pow.f64 (*.f64 2 (PI.f64)) 1/6) |
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 2 (PI.f64)) 2))) 1/2) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 2 (PI.f64)))) 1/2)) |
(*.f64 (sqrt.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 2 (PI.f64)) 2)))) (sqrt.f64 (cbrt.f64 (cbrt.f64 (*.f64 2 (PI.f64)))))) |
(*.f64 (sqrt.f64 (cbrt.f64 (cbrt.f64 (*.f64 2 (PI.f64))))) (pow.f64 (cbrt.f64 (pow.f64 (*.f64 2 (PI.f64)) 2)) 1/6)) |
(*.f64 (pow.f64 (cbrt.f64 2) 1/2) (pow.f64 (cbrt.f64 (PI.f64)) 1/2)) |
(*.f64 (sqrt.f64 (cbrt.f64 2)) (sqrt.f64 (cbrt.f64 (PI.f64)))) |
(pow.f64 (*.f64 2 (PI.f64)) 1/6) |
(+.f64 (+.f64 1 (pow.f64 (*.f64 2 (PI.f64)) 1/6)) -1) |
(+.f64 (pow.f64 (*.f64 2 (PI.f64)) 1/6) 0) |
(pow.f64 (cbrt.f64 (*.f64 2 (PI.f64))) 1/2) |
(+.f64 (+.f64 1 (pow.f64 (*.f64 2 (PI.f64)) 1/6)) -1) |
(+.f64 (pow.f64 (*.f64 2 (PI.f64)) 1/6) 0) |
(pow.f64 (*.f64 2 (PI.f64)) 1/6) |
(pow.f64 (pow.f64 (*.f64 2 (PI.f64)) 1/6) 1) |
(+.f64 (+.f64 1 (pow.f64 (*.f64 2 (PI.f64)) 1/6)) -1) |
(+.f64 (pow.f64 (*.f64 2 (PI.f64)) 1/6) 0) |
(pow.f64 (*.f64 2 (PI.f64)) 1/6) |
(pow.f64 (cbrt.f64 (pow.f64 (*.f64 2 (PI.f64)) 1/6)) 3) |
(+.f64 (+.f64 1 (pow.f64 (*.f64 2 (PI.f64)) 1/6)) -1) |
(+.f64 (pow.f64 (*.f64 2 (PI.f64)) 1/6) 0) |
(pow.f64 (*.f64 2 (PI.f64)) 1/6) |
(pow.f64 (pow.f64 (cbrt.f64 (*.f64 2 (PI.f64))) 1/4) 2) |
(+.f64 (+.f64 1 (pow.f64 (*.f64 2 (PI.f64)) 1/6)) -1) |
(+.f64 (pow.f64 (*.f64 2 (PI.f64)) 1/6) 0) |
(pow.f64 (*.f64 2 (PI.f64)) 1/6) |
(pow.f64 (sqrt.f64 (*.f64 2 (PI.f64))) 1/3) |
(cbrt.f64 (sqrt.f64 (*.f64 2 (PI.f64)))) |
(fabs.f64 (pow.f64 (*.f64 2 (PI.f64)) 1/6)) |
(+.f64 (+.f64 1 (pow.f64 (*.f64 2 (PI.f64)) 1/6)) -1) |
(+.f64 (pow.f64 (*.f64 2 (PI.f64)) 1/6) 0) |
(pow.f64 (*.f64 2 (PI.f64)) 1/6) |
(log.f64 (exp.f64 (pow.f64 (*.f64 2 (PI.f64)) 1/6))) |
(+.f64 (+.f64 1 (pow.f64 (*.f64 2 (PI.f64)) 1/6)) -1) |
(+.f64 (pow.f64 (*.f64 2 (PI.f64)) 1/6) 0) |
(pow.f64 (*.f64 2 (PI.f64)) 1/6) |
(cbrt.f64 (sqrt.f64 (*.f64 2 (PI.f64)))) |
(expm1.f64 (log1p.f64 (pow.f64 (*.f64 2 (PI.f64)) 1/6))) |
(+.f64 (+.f64 1 (pow.f64 (*.f64 2 (PI.f64)) 1/6)) -1) |
(+.f64 (pow.f64 (*.f64 2 (PI.f64)) 1/6) 0) |
(pow.f64 (*.f64 2 (PI.f64)) 1/6) |
(log1p.f64 (expm1.f64 (pow.f64 (*.f64 2 (PI.f64)) 1/6))) |
(+.f64 (+.f64 1 (pow.f64 (*.f64 2 (PI.f64)) 1/6)) -1) |
(+.f64 (pow.f64 (*.f64 2 (PI.f64)) 1/6) 0) |
(pow.f64 (*.f64 2 (PI.f64)) 1/6) |
(exp.f64 (log.f64 (pow.f64 (*.f64 2 (PI.f64)) 1/6))) |
(+.f64 (+.f64 1 (pow.f64 (*.f64 2 (PI.f64)) 1/6)) -1) |
(+.f64 (pow.f64 (*.f64 2 (PI.f64)) 1/6) 0) |
(pow.f64 (*.f64 2 (PI.f64)) 1/6) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 1.0b | (+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) |
| ✓ | 1.0b | (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))) |
| ✓ | 1.0b | (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) |
| 1.0b | (sqrt.f64 (*.f64 (PI.f64) 2)) |
Compiled 249 to 176 computations (29.3% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | z | @ | 0 | (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) |
| 3.0ms | z | @ | inf | (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) |
| 2.0ms | z | @ | -inf | (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) |
| 0.0ms | z | @ | 0 | (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))) |
| 0.0ms | z | @ | inf | (+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) |
| 1× | batch-egg-rewrite |
| 415× | add-sqr-sqrt_binary64 |
| 394× | add-log-exp_binary64 |
| 393× | log1p-expm1-u_binary64 |
| 393× | expm1-log1p-u_binary64 |
| 392× | add-cbrt-cube_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 34 | 111 |
| 1 | 819 | 109 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) |
(*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))) |
(+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 7902188421553103227/30000000000000000 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (fma.f64 -1 z 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))))) (*.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (fma.f64 -1 z 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (fma.f64 -1 z 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) 7902188421553103227/30000000000000000) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (fma.f64 -1 z 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (pow.f64 (fma.f64 -1 z 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))) (+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (pow.f64 (fma.f64 -1 z 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))) (+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (pow.f64 (fma.f64 -1 z 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))) (+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (pow.f64 (fma.f64 -1 z 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))) (+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (pow.f64 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| 1× | egg-herbie |
| 660× | times-frac_binary64 |
| 280× | associate-*r*_binary64 |
| 256× | fma-def_binary64 |
| 247× | associate-*l*_binary64 |
| 221× | distribute-rgt-out_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 304 | 3520 |
| 1 | 910 | 3371 |
| 2 | 4107 | 3252 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64)))) |
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(*.f64 7902188421553103227/30000000000000000 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) (sqrt.f64 (PI.f64)))) |
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(log1p.f64 (expm1.f64 (*.f64 (pow.f64 (fma.f64 -1 z 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))))) |
(exp.f64 (+.f64 (-.f64 -15/2 (neg.f64 z)) (*.f64 (-.f64 1/2 z) (log.f64 (fma.f64 -1 z 15/2))))) |
(-.f64 (exp.f64 (log1p.f64 (+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))) 1) |
(*.f64 1 (+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) |
(*.f64 (pow.f64 (cbrt.f64 (+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) 2) (cbrt.f64 (+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))) |
(*.f64 (sqrt.f64 (+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (sqrt.f64 (+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))) |
(/.f64 (+.f64 493448851681645071244654587925452777567818866739274158083/27000000000000000000000000000000000000000000000000 (pow.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) 3)) (+.f64 62444581849727925073340192313717813529/900000000000000000000000000000000 (-.f64 (pow.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) 2) (*.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))) |
(/.f64 (-.f64 62444581849727925073340192313717813529/900000000000000000000000000000000 (pow.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) 2)) (-.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) |
(pow.f64 (+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) 1) |
(pow.f64 (pow.f64 (+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) 3) 1/3) |
(pow.f64 (cbrt.f64 (+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) 3) |
(pow.f64 (sqrt.f64 (+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) 2) |
(log.f64 (exp.f64 (+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))) |
(log.f64 (+.f64 1 (expm1.f64 (+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))) |
(cbrt.f64 (pow.f64 (+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) 3)) |
(expm1.f64 (log1p.f64 (+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))) |
(log1p.f64 (expm1.f64 (+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))) |
(exp.f64 (log.f64 (+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))) |
(fma.f64 1 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) 7902188421553103227/30000000000000000) |
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) 2) (cbrt.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) 7902188421553103227/30000000000000000) |
(fma.f64 (sqrt.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (sqrt.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) 7902188421553103227/30000000000000000) |
| Outputs |
|---|
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64)))) |
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (*.f64 (*.f64 (sqrt.f64 2) (exp.f64 -15/2)) (sqrt.f64 15/2)) (sqrt.f64 (PI.f64)))) |
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (*.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64))))) |
(+.f64 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (+.f64 (*.f64 (sqrt.f64 15/2) (+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (*.f64 -2715848032326100368047161/705600000000000000000000000 (exp.f64 -15/2)))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (exp.f64 -15/2) (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (sqrt.f64 15/2))))) z)) (sqrt.f64 (PI.f64))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64))))) |
(fma.f64 (*.f64 (sqrt.f64 2) (*.f64 (fma.f64 (sqrt.f64 15/2) (*.f64 (exp.f64 -15/2) 185840460885797547300949738751/705600000000000000000000000) (*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (*.f64 (sqrt.f64 15/2) (fma.f64 -1 (log.f64 15/2) -1/15)))) z)) (sqrt.f64 (PI.f64)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (*.f64 (*.f64 (sqrt.f64 2) (exp.f64 -15/2)) (sqrt.f64 15/2)) (sqrt.f64 (PI.f64))))) |
(*.f64 (sqrt.f64 (PI.f64)) (+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) (*.f64 (sqrt.f64 2) (*.f64 (fma.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (fma.f64 -1 (log.f64 15/2) -1/15))) (*.f64 (exp.f64 -15/2) (*.f64 185840460885797547300949738751/705600000000000000000000000 (sqrt.f64 15/2)))) z)))) |
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 2) (+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (*.f64 (*.f64 (sqrt.f64 15/2) (+.f64 (*.f64 (exp.f64 -15/2) 185840460885797547300949738751/705600000000000000000000000) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (exp.f64 -15/2) (-.f64 -1/15 (log.f64 15/2)))))) z)))) |
(+.f64 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (+.f64 (*.f64 (sqrt.f64 15/2) (+.f64 (*.f64 -76044331624539137747479981/118540800000000000000000000000 (exp.f64 -15/2)) (+.f64 (*.f64 1106209385320415913103082059/8400000000000000000000000 (exp.f64 -15/2)) (*.f64 -2715848032326100368047161/705600000000000000000000000 (exp.f64 -15/2))))) (+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (exp.f64 -15/2) (*.f64 (+.f64 29/225 (*.f64 1/2 (pow.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) 2))) (sqrt.f64 15/2)))) (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (*.f64 (sqrt.f64 15/2) (+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (*.f64 -2715848032326100368047161/705600000000000000000000000 (exp.f64 -15/2))))))) (pow.f64 z 2))) (sqrt.f64 (PI.f64))) (+.f64 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (+.f64 (*.f64 (sqrt.f64 15/2) (+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (*.f64 -2715848032326100368047161/705600000000000000000000000 (exp.f64 -15/2)))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (exp.f64 -15/2) (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (sqrt.f64 15/2))))) z)) (sqrt.f64 (PI.f64))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64)))))) |
(fma.f64 (*.f64 (sqrt.f64 2) (*.f64 (fma.f64 (sqrt.f64 15/2) (fma.f64 -76044331624539137747479981/118540800000000000000000000000 (exp.f64 -15/2) (*.f64 (exp.f64 -15/2) 18583774503776522120058169159/141120000000000000000000000)) (fma.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (*.f64 (exp.f64 -15/2) (+.f64 29/225 (*.f64 1/2 (pow.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 2)))) (sqrt.f64 15/2)) (*.f64 (*.f64 (sqrt.f64 15/2) (*.f64 (exp.f64 -15/2) 185840460885797547300949738751/705600000000000000000000000)) (fma.f64 -1 (log.f64 15/2) -1/15)))) (*.f64 z z))) (sqrt.f64 (PI.f64)) (fma.f64 (*.f64 (sqrt.f64 2) (*.f64 (fma.f64 (sqrt.f64 15/2) (*.f64 (exp.f64 -15/2) 185840460885797547300949738751/705600000000000000000000000) (*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (*.f64 (sqrt.f64 15/2) (fma.f64 -1 (log.f64 15/2) -1/15)))) z)) (sqrt.f64 (PI.f64)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (*.f64 (*.f64 (sqrt.f64 2) (exp.f64 -15/2)) (sqrt.f64 15/2)) (sqrt.f64 (PI.f64)))))) |
(fma.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (fma.f64 (sqrt.f64 15/2) (*.f64 (exp.f64 -15/2) 15610294538840654041711114613579/118540800000000000000000000000) (fma.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (*.f64 (sqrt.f64 15/2) (fma.f64 1/2 (pow.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 2) 29/225)) (*.f64 (*.f64 (exp.f64 -15/2) (*.f64 185840460885797547300949738751/705600000000000000000000000 (sqrt.f64 15/2))) (fma.f64 -1 (log.f64 15/2) -1/15)))) (*.f64 z z))) (*.f64 (sqrt.f64 (PI.f64)) (+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) (*.f64 (sqrt.f64 2) (*.f64 (fma.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (fma.f64 -1 (log.f64 15/2) -1/15))) (*.f64 (exp.f64 -15/2) (*.f64 185840460885797547300949738751/705600000000000000000000000 (sqrt.f64 15/2)))) z))))) |
(*.f64 (sqrt.f64 (PI.f64)) (+.f64 (*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 2)) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (*.f64 (sqrt.f64 2) (+.f64 (*.f64 (fma.f64 (sqrt.f64 15/2) (*.f64 (exp.f64 -15/2) 15610294538840654041711114613579/118540800000000000000000000000) (*.f64 (sqrt.f64 15/2) (+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (exp.f64 -15/2) (fma.f64 1/2 (pow.f64 (-.f64 -1/15 (log.f64 15/2)) 2) 29/225))) (*.f64 (-.f64 -1/15 (log.f64 15/2)) (*.f64 (exp.f64 -15/2) 185840460885797547300949738751/705600000000000000000000000))))) (*.f64 z z)) (*.f64 (*.f64 (sqrt.f64 15/2) (+.f64 (*.f64 (exp.f64 -15/2) 185840460885797547300949738751/705600000000000000000000000) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (exp.f64 -15/2) (-.f64 -1/15 (log.f64 15/2)))))) z))))) |
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(/.f64 (+.f64 493448851681645071244654587925452777567818866739274158083/27000000000000000000000000000000000000000000000000 (pow.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) 3)) (+.f64 62444581849727925073340192313717813529/900000000000000000000000000000000 (-.f64 (pow.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) 2) (*.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))) |
(/.f64 (+.f64 493448851681645071244654587925452777567818866739274158083/27000000000000000000000000000000000000000000000000 (pow.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) 3)) (+.f64 62444581849727925073340192313717813529/900000000000000000000000000000000 (+.f64 (pow.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) 2) (*.f64 -7902188421553103227/30000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))) |
(/.f64 (+.f64 493448851681645071244654587925452777567818866739274158083/27000000000000000000000000000000000000000000000000 (pow.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) 3)) (+.f64 62444581849727925073340192313717813529/900000000000000000000000000000000 (*.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (-.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) 7902188421553103227/30000000000000000)))) |
(/.f64 (+.f64 493448851681645071244654587925452777567818866739274158083/27000000000000000000000000000000000000000000000000 (pow.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)))) 3)) (+.f64 62444581849727925073340192313717813529/900000000000000000000000000000000 (*.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)))) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)))) -7902188421553103227/30000000000000000)))) |
(/.f64 (-.f64 62444581849727925073340192313717813529/900000000000000000000000000000000 (pow.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) 2)) (-.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) |
(/.f64 (-.f64 62444581849727925073340192313717813529/900000000000000000000000000000000 (pow.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) 2)) (-.f64 (-.f64 7902188421553103227/30000000000000000 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) |
(/.f64 (-.f64 62444581849727925073340192313717813529/900000000000000000000000000000000 (pow.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)))) 2)) (+.f64 7902188421553103227/30000000000000000 (-.f64 (/.f64 -2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) |
(pow.f64 (+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) 1) |
(+.f64 (+.f64 7902188421553103227/30000000000000000 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) |
(+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) |
(+.f64 (+.f64 (+.f64 7902188421553103227/30000000000000000 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) |
(pow.f64 (pow.f64 (+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) 3) 1/3) |
(+.f64 (+.f64 7902188421553103227/30000000000000000 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) |
(+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) |
(+.f64 (+.f64 (+.f64 7902188421553103227/30000000000000000 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) |
(pow.f64 (cbrt.f64 (+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) 3) |
(+.f64 (+.f64 7902188421553103227/30000000000000000 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) |
(+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) |
(+.f64 (+.f64 (+.f64 7902188421553103227/30000000000000000 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) |
(pow.f64 (sqrt.f64 (+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) 2) |
(+.f64 (+.f64 7902188421553103227/30000000000000000 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) |
(+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) |
(+.f64 (+.f64 (+.f64 7902188421553103227/30000000000000000 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) |
(log.f64 (exp.f64 (+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))) |
(+.f64 (+.f64 7902188421553103227/30000000000000000 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) |
(+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) |
(+.f64 (+.f64 (+.f64 7902188421553103227/30000000000000000 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) |
(log.f64 (+.f64 1 (expm1.f64 (+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))) |
(+.f64 (+.f64 7902188421553103227/30000000000000000 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) |
(+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) |
(+.f64 (+.f64 (+.f64 7902188421553103227/30000000000000000 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) |
(cbrt.f64 (pow.f64 (+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) 3)) |
(+.f64 (+.f64 7902188421553103227/30000000000000000 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) |
(+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) |
(+.f64 (+.f64 (+.f64 7902188421553103227/30000000000000000 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) |
(expm1.f64 (log1p.f64 (+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))) |
(+.f64 (+.f64 7902188421553103227/30000000000000000 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) |
(+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) |
(+.f64 (+.f64 (+.f64 7902188421553103227/30000000000000000 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) |
(log1p.f64 (expm1.f64 (+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))) |
(+.f64 (+.f64 7902188421553103227/30000000000000000 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) |
(+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) |
(+.f64 (+.f64 (+.f64 7902188421553103227/30000000000000000 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) |
(exp.f64 (log.f64 (+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))) |
(+.f64 (+.f64 7902188421553103227/30000000000000000 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) |
(+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) |
(+.f64 (+.f64 (+.f64 7902188421553103227/30000000000000000 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) |
(fma.f64 1 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) 7902188421553103227/30000000000000000) |
(+.f64 (+.f64 7902188421553103227/30000000000000000 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) |
(+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) |
(+.f64 (+.f64 (+.f64 7902188421553103227/30000000000000000 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) |
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) 2) (cbrt.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) 7902188421553103227/30000000000000000) |
(+.f64 (+.f64 7902188421553103227/30000000000000000 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) |
(+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) |
(+.f64 (+.f64 (+.f64 7902188421553103227/30000000000000000 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) |
(fma.f64 (sqrt.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (sqrt.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) 7902188421553103227/30000000000000000) |
(+.f64 (+.f64 7902188421553103227/30000000000000000 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) |
(+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) |
(+.f64 (+.f64 (+.f64 7902188421553103227/30000000000000000 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.7b | (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 646366562873259793/3000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2)))) |
| ✓ | 0.9b | (+.f64 646366562873259793/3000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) |
| 1.0b | (sqrt.f64 (*.f64 (PI.f64) 2)) | |
| 1.1b | (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) |
Compiled 369 to 275 computations (25.5% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | z | @ | 0 | (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 646366562873259793/3000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2)))) |
| 2.0ms | z | @ | inf | (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 646366562873259793/3000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2)))) |
| 1.0ms | z | @ | -inf | (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 646366562873259793/3000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2)))) |
| 0.0ms | z | @ | inf | (+.f64 646366562873259793/3000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) |
| 0.0ms | z | @ | 0 | (+.f64 646366562873259793/3000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) |
| 1× | batch-egg-rewrite |
| 490× | add-sqr-sqrt_binary64 |
| 465× | add-cbrt-cube_binary64 |
| 465× | add-log-exp_binary64 |
| 464× | add-exp-log_binary64 |
| 464× | log1p-expm1-u_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 39 | 98 |
| 1 | 956 | 98 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 646366562873259793/3000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) |
(*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 646366562873259793/3000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2)))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 646366562873259793/3000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (+.f64 646366562873259793/3000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (cbrt.f64 (+.f64 646366562873259793/3000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))) (cbrt.f64 (+.f64 646366562873259793/3000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 646366562873259793/3000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (sqrt.f64 (+.f64 646366562873259793/3000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 270045314111149317828226089380810675507433529344350257/27000000000000000000000000000000000000000000000 (pow.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) 3)) (+.f64 417789733600591705031065998070402849/9000000000000000000000000000000 (-.f64 (*.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (*.f64 646366562873259793/3000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 417789733600591705031065998070402849/9000000000000000000000000000000 (*.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 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((#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (+.f64 (+.f64 646366562873259793/3000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (exp.f64 (+.f64 z -15/2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (+.f64 (+.f64 646366562873259793/3000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (exp.f64 (+.f64 z -15/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (*.f64 (*.f64 (+.f64 (+.f64 646366562873259793/3000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (exp.f64 (+.f64 z -15/2)))) (*.f64 (+.f64 (+.f64 646366562873259793/3000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (exp.f64 (+.f64 z -15/2))))) (*.f64 (+.f64 (+.f64 646366562873259793/3000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (exp.f64 (+.f64 z -15/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (+.f64 (+.f64 646366562873259793/3000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (exp.f64 (+.f64 z -15/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (+.f64 (+.f64 646366562873259793/3000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (exp.f64 (+.f64 z -15/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (+.f64 (+.f64 646366562873259793/3000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (exp.f64 (+.f64 z -15/2)))))))))) |
| 1× | egg-herbie |
| 693× | fma-def_binary64 |
| 545× | associate-+l+_binary64 |
| 518× | times-frac_binary64 |
| 503× | associate-*r/_binary64 |
| 502× | associate-*l/_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 193 | 1653 |
| 1 | 553 | 1603 |
| 2 | 2266 | 1428 |
| 1× | node limit |
| Inputs |
|---|
904816194325545171523082059/4200000000000000000000000 |
(+.f64 904816194325545171523082059/4200000000000000000000000 (*.f64 -2715848032326100368047161/705600000000000000000000000 z)) |
(+.f64 904816194325545171523082059/4200000000000000000000000 (+.f64 (*.f64 -2715848032326100368047161/705600000000000000000000000 z) (*.f64 -76044331624539137747479981/118540800000000000000000000000 (pow.f64 z 2)))) |
(+.f64 (*.f64 -2129255331893733814996830001/19914854400000000000000000000000 (pow.f64 z 3)) (+.f64 904816194325545171523082059/4200000000000000000000000 (+.f64 (*.f64 -2715848032326100368047161/705600000000000000000000000 z) (*.f64 -76044331624539137747479981/118540800000000000000000000000 (pow.f64 z 2))))) |
646366562873259793/3000000000000000 |
(+.f64 646366562873259793/3000000000000000 (*.f64 3464024008321714637421/25000000000000000000000 (/.f64 1 z))) |
(+.f64 646366562873259793/3000000000000000 (+.f64 (*.f64 3464024008321714637421/25000000000000000000000 (/.f64 1 z)) (*.f64 5195971728131790397167/6250000000000000000000 (/.f64 1 (pow.f64 z 2))))) |
(+.f64 646366562873259793/3000000000000000 (+.f64 (*.f64 3464024008321714637421/25000000000000000000000 (/.f64 1 z)) (+.f64 (*.f64 31175378496294352533611/6250000000000000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 5195971728131790397167/6250000000000000000000 (/.f64 1 (pow.f64 z 2)))))) |
646366562873259793/3000000000000000 |
(+.f64 646366562873259793/3000000000000000 (*.f64 3464024008321714637421/25000000000000000000000 (/.f64 1 z))) |
(+.f64 646366562873259793/3000000000000000 (+.f64 (*.f64 3464024008321714637421/25000000000000000000000 (/.f64 1 z)) (*.f64 5195971728131790397167/6250000000000000000000 (/.f64 1 (pow.f64 z 2))))) |
(+.f64 646366562873259793/3000000000000000 (+.f64 (*.f64 3464024008321714637421/25000000000000000000000 (/.f64 1 z)) (+.f64 (*.f64 31175378496294352533611/6250000000000000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 5195971728131790397167/6250000000000000000000 (/.f64 1 (pow.f64 z 2)))))) |
(*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z)) |
(+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (+.f64 (*.f64 255237898068937946539631952839/705600000000000000000000000 (exp.f64 -15/2)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z)))) |
(+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (+.f64 (*.f64 (-.f64 (+.f64 (*.f64 61537768351425256993662252520019/118540800000000000000000000000 (exp.f64 -15/2)) (+.f64 (*.f64 1106209385320415913103082059/8400000000000000000000000 (exp.f64 -15/2)) (*.f64 255237898068937946539631952839/705600000000000000000000000 (exp.f64 -15/2)))) (*.f64 -1106209385320415913103082059/25200000000000000000000000 (*.f64 (exp.f64 -15/2) (pow.f64 (PI.f64) 2)))) z) (+.f64 (*.f64 255237898068937946539631952839/705600000000000000000000000 (exp.f64 -15/2)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z))))) |
(+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (+.f64 (*.f64 (-.f64 (+.f64 (*.f64 61537768351425256993662252520019/118540800000000000000000000000 (exp.f64 -15/2)) (+.f64 (*.f64 1106209385320415913103082059/8400000000000000000000000 (exp.f64 -15/2)) (*.f64 255237898068937946539631952839/705600000000000000000000000 (exp.f64 -15/2)))) (*.f64 -1106209385320415913103082059/25200000000000000000000000 (*.f64 (exp.f64 -15/2) (pow.f64 (PI.f64) 2)))) z) (+.f64 (*.f64 (pow.f64 z 2) (-.f64 (+.f64 (*.f64 1106209385320415913103082059/25200000000000000000000000 (exp.f64 -15/2)) (+.f64 (*.f64 61537768351425256993662252520019/118540800000000000000000000000 (exp.f64 -15/2)) (+.f64 (*.f64 11905579114879117765036105003169999/19914854400000000000000000000000 (exp.f64 -15/2)) (*.f64 255237898068937946539631952839/1411200000000000000000000000 (exp.f64 -15/2))))) (*.f64 -1/6 (*.f64 (+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (*.f64 255237898068937946539631952839/705600000000000000000000000 (exp.f64 -15/2))) (pow.f64 (PI.f64) 2))))) (+.f64 (*.f64 255237898068937946539631952839/705600000000000000000000000 (exp.f64 -15/2)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z)))))) |
(*.f64 6493665628732592227/30000000000000000 (/.f64 (*.f64 (exp.f64 (-.f64 z 15/2)) (PI.f64)) (sin.f64 (*.f64 z (PI.f64))))) |
(+.f64 (*.f64 14568935239021264214637421/25000000000000000000000 (/.f64 (*.f64 (exp.f64 (-.f64 z 15/2)) (PI.f64)) (*.f64 (sin.f64 (*.f64 z (PI.f64))) z))) (*.f64 6493665628732592227/30000000000000000 (/.f64 (*.f64 (exp.f64 (-.f64 z 15/2)) (PI.f64)) (sin.f64 (*.f64 z (PI.f64)))))) |
(+.f64 (*.f64 14568935239021264214637421/25000000000000000000000 (/.f64 (*.f64 (exp.f64 (-.f64 z 15/2)) (PI.f64)) (*.f64 (sin.f64 (*.f64 z (PI.f64))) z))) (+.f64 (*.f64 11516183879996384915397167/6250000000000000000000 (/.f64 (*.f64 (exp.f64 (-.f64 z 15/2)) (PI.f64)) (*.f64 (sin.f64 (*.f64 z (PI.f64))) (pow.f64 z 2)))) (*.f64 6493665628732592227/30000000000000000 (/.f64 (*.f64 (exp.f64 (-.f64 z 15/2)) (PI.f64)) (sin.f64 (*.f64 z (PI.f64))))))) |
(+.f64 (*.f64 27281403495794582477533611/6250000000000000000000 (/.f64 (*.f64 (exp.f64 (-.f64 z 15/2)) (PI.f64)) (*.f64 (sin.f64 (*.f64 z (PI.f64))) (pow.f64 z 3)))) (+.f64 (*.f64 14568935239021264214637421/25000000000000000000000 (/.f64 (*.f64 (exp.f64 (-.f64 z 15/2)) (PI.f64)) (*.f64 (sin.f64 (*.f64 z (PI.f64))) z))) (+.f64 (*.f64 11516183879996384915397167/6250000000000000000000 (/.f64 (*.f64 (exp.f64 (-.f64 z 15/2)) (PI.f64)) (*.f64 (sin.f64 (*.f64 z (PI.f64))) (pow.f64 z 2)))) (*.f64 6493665628732592227/30000000000000000 (/.f64 (*.f64 (exp.f64 (-.f64 z 15/2)) (PI.f64)) (sin.f64 (*.f64 z (PI.f64)))))))) |
(*.f64 6493665628732592227/30000000000000000 (/.f64 (*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))) (PI.f64)) (sin.f64 (*.f64 z (PI.f64))))) |
(+.f64 (*.f64 14568935239021264214637421/25000000000000000000000 (/.f64 (*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))) (PI.f64)) (*.f64 (sin.f64 (*.f64 z (PI.f64))) z))) (*.f64 6493665628732592227/30000000000000000 (/.f64 (*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))) (PI.f64)) (sin.f64 (*.f64 z (PI.f64)))))) |
(+.f64 (*.f64 14568935239021264214637421/25000000000000000000000 (/.f64 (*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))) (PI.f64)) (*.f64 (sin.f64 (*.f64 z (PI.f64))) z))) (+.f64 (*.f64 6493665628732592227/30000000000000000 (/.f64 (*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))) (PI.f64)) (sin.f64 (*.f64 z (PI.f64))))) (*.f64 11516183879996384915397167/6250000000000000000000 (/.f64 (*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))) (PI.f64)) (*.f64 (sin.f64 (*.f64 z (PI.f64))) (pow.f64 z 2)))))) |
(+.f64 (*.f64 14568935239021264214637421/25000000000000000000000 (/.f64 (*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))) (PI.f64)) (*.f64 (sin.f64 (*.f64 z (PI.f64))) z))) (+.f64 (*.f64 27281403495794582477533611/6250000000000000000000 (/.f64 (*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))) (PI.f64)) (*.f64 (sin.f64 (*.f64 z (PI.f64))) (pow.f64 z 3)))) (+.f64 (*.f64 6493665628732592227/30000000000000000 (/.f64 (*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))) (PI.f64)) (sin.f64 (*.f64 z (PI.f64))))) (*.f64 11516183879996384915397167/6250000000000000000000 (/.f64 (*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))) (PI.f64)) (*.f64 (sin.f64 (*.f64 z (PI.f64))) (pow.f64 z 2))))))) |
(*.f64 1 (+.f64 646366562873259793/3000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) |
(*.f64 (*.f64 (cbrt.f64 (+.f64 646366562873259793/3000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (cbrt.f64 (+.f64 646366562873259793/3000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))) (cbrt.f64 (+.f64 646366562873259793/3000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))) |
(*.f64 (sqrt.f64 (+.f64 646366562873259793/3000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (sqrt.f64 (+.f64 646366562873259793/3000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))) |
(/.f64 (+.f64 270045314111149317828226089380810675507433529344350257/27000000000000000000000000000000000000000000000 (pow.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) 3)) (+.f64 417789733600591705031065998070402849/9000000000000000000000000000000 (-.f64 (*.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (*.f64 646366562873259793/3000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))) |
(/.f64 (-.f64 417789733600591705031065998070402849/9000000000000000000000000000000 (*.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (-.f64 646366562873259793/3000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) |
(pow.f64 (+.f64 646366562873259793/3000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) 1) |
(log.f64 (exp.f64 (+.f64 646366562873259793/3000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))) |
(cbrt.f64 (*.f64 (*.f64 (+.f64 646366562873259793/3000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (+.f64 646366562873259793/3000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (+.f64 646366562873259793/3000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))) |
(expm1.f64 (log1p.f64 (+.f64 646366562873259793/3000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))) |
(log1p.f64 (expm1.f64 (+.f64 646366562873259793/3000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))) |
(exp.f64 (log.f64 (+.f64 646366562873259793/3000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))) |
(pow.f64 (*.f64 (+.f64 (+.f64 646366562873259793/3000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (exp.f64 (+.f64 z -15/2)))) 1) |
(log.f64 (exp.f64 (*.f64 (+.f64 (+.f64 646366562873259793/3000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (exp.f64 (+.f64 z -15/2)))))) |
(cbrt.f64 (*.f64 (*.f64 (*.f64 (+.f64 (+.f64 646366562873259793/3000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (exp.f64 (+.f64 z -15/2)))) (*.f64 (+.f64 (+.f64 646366562873259793/3000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (exp.f64 (+.f64 z -15/2))))) (*.f64 (+.f64 (+.f64 646366562873259793/3000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (exp.f64 (+.f64 z -15/2)))))) |
(expm1.f64 (log1p.f64 (*.f64 (+.f64 (+.f64 646366562873259793/3000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (exp.f64 (+.f64 z -15/2)))))) |
(log1p.f64 (expm1.f64 (*.f64 (+.f64 (+.f64 646366562873259793/3000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (exp.f64 (+.f64 z -15/2)))))) |
(exp.f64 (log.f64 (*.f64 (+.f64 (+.f64 646366562873259793/3000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (exp.f64 (+.f64 z -15/2)))))) |
| Outputs |
|---|
904816194325545171523082059/4200000000000000000000000 |
(+.f64 904816194325545171523082059/4200000000000000000000000 (*.f64 -2715848032326100368047161/705600000000000000000000000 z)) |
(fma.f64 -2715848032326100368047161/705600000000000000000000000 z 904816194325545171523082059/4200000000000000000000000) |
(+.f64 904816194325545171523082059/4200000000000000000000000 (+.f64 (*.f64 -2715848032326100368047161/705600000000000000000000000 z) (*.f64 -76044331624539137747479981/118540800000000000000000000000 (pow.f64 z 2)))) |
(+.f64 904816194325545171523082059/4200000000000000000000000 (fma.f64 -2715848032326100368047161/705600000000000000000000000 z (*.f64 -76044331624539137747479981/118540800000000000000000000000 (*.f64 z z)))) |
(+.f64 904816194325545171523082059/4200000000000000000000000 (fma.f64 -2715848032326100368047161/705600000000000000000000000 z (*.f64 z (*.f64 z -76044331624539137747479981/118540800000000000000000000000)))) |
(fma.f64 -2715848032326100368047161/705600000000000000000000000 z (fma.f64 z (*.f64 z -76044331624539137747479981/118540800000000000000000000000) 904816194325545171523082059/4200000000000000000000000)) |
(+.f64 (*.f64 -2129255331893733814996830001/19914854400000000000000000000000 (pow.f64 z 3)) (+.f64 904816194325545171523082059/4200000000000000000000000 (+.f64 (*.f64 -2715848032326100368047161/705600000000000000000000000 z) (*.f64 -76044331624539137747479981/118540800000000000000000000000 (pow.f64 z 2))))) |
(fma.f64 -2129255331893733814996830001/19914854400000000000000000000000 (pow.f64 z 3) (+.f64 904816194325545171523082059/4200000000000000000000000 (fma.f64 -2715848032326100368047161/705600000000000000000000000 z (*.f64 -76044331624539137747479981/118540800000000000000000000000 (*.f64 z z))))) |
(+.f64 (fma.f64 -2715848032326100368047161/705600000000000000000000000 z (*.f64 z (*.f64 z -76044331624539137747479981/118540800000000000000000000000))) (fma.f64 -2129255331893733814996830001/19914854400000000000000000000000 (pow.f64 z 3) 904816194325545171523082059/4200000000000000000000000)) |
(fma.f64 -2129255331893733814996830001/19914854400000000000000000000000 (pow.f64 z 3) (fma.f64 -2715848032326100368047161/705600000000000000000000000 z (fma.f64 z (*.f64 z -76044331624539137747479981/118540800000000000000000000000) 904816194325545171523082059/4200000000000000000000000))) |
646366562873259793/3000000000000000 |
(+.f64 646366562873259793/3000000000000000 (*.f64 3464024008321714637421/25000000000000000000000 (/.f64 1 z))) |
(+.f64 646366562873259793/3000000000000000 (/.f64 3464024008321714637421/25000000000000000000000 z)) |
(+.f64 646366562873259793/3000000000000000 (+.f64 (*.f64 3464024008321714637421/25000000000000000000000 (/.f64 1 z)) (*.f64 5195971728131790397167/6250000000000000000000 (/.f64 1 (pow.f64 z 2))))) |
(+.f64 646366562873259793/3000000000000000 (+.f64 (/.f64 3464024008321714637421/25000000000000000000000 z) (/.f64 5195971728131790397167/6250000000000000000000 (*.f64 z z)))) |
(+.f64 646366562873259793/3000000000000000 (+.f64 (*.f64 3464024008321714637421/25000000000000000000000 (/.f64 1 z)) (+.f64 (*.f64 31175378496294352533611/6250000000000000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 5195971728131790397167/6250000000000000000000 (/.f64 1 (pow.f64 z 2)))))) |
(+.f64 646366562873259793/3000000000000000 (+.f64 (+.f64 (/.f64 3464024008321714637421/25000000000000000000000 z) (/.f64 31175378496294352533611/6250000000000000000000 (pow.f64 z 3))) (/.f64 5195971728131790397167/6250000000000000000000 (*.f64 z z)))) |
(+.f64 646366562873259793/3000000000000000 (+.f64 (/.f64 5195971728131790397167/6250000000000000000000 (*.f64 z z)) (+.f64 (/.f64 3464024008321714637421/25000000000000000000000 z) (/.f64 31175378496294352533611/6250000000000000000000 (pow.f64 z 3))))) |
646366562873259793/3000000000000000 |
(+.f64 646366562873259793/3000000000000000 (*.f64 3464024008321714637421/25000000000000000000000 (/.f64 1 z))) |
(+.f64 646366562873259793/3000000000000000 (/.f64 3464024008321714637421/25000000000000000000000 z)) |
(+.f64 646366562873259793/3000000000000000 (+.f64 (*.f64 3464024008321714637421/25000000000000000000000 (/.f64 1 z)) (*.f64 5195971728131790397167/6250000000000000000000 (/.f64 1 (pow.f64 z 2))))) |
(+.f64 646366562873259793/3000000000000000 (+.f64 (/.f64 3464024008321714637421/25000000000000000000000 z) (/.f64 5195971728131790397167/6250000000000000000000 (*.f64 z z)))) |
(+.f64 646366562873259793/3000000000000000 (+.f64 (*.f64 3464024008321714637421/25000000000000000000000 (/.f64 1 z)) (+.f64 (*.f64 31175378496294352533611/6250000000000000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 5195971728131790397167/6250000000000000000000 (/.f64 1 (pow.f64 z 2)))))) |
(+.f64 646366562873259793/3000000000000000 (+.f64 (+.f64 (/.f64 3464024008321714637421/25000000000000000000000 z) (/.f64 31175378496294352533611/6250000000000000000000 (pow.f64 z 3))) (/.f64 5195971728131790397167/6250000000000000000000 (*.f64 z z)))) |
(+.f64 646366562873259793/3000000000000000 (+.f64 (/.f64 5195971728131790397167/6250000000000000000000 (*.f64 z z)) (+.f64 (/.f64 3464024008321714637421/25000000000000000000000 z) (/.f64 31175378496294352533611/6250000000000000000000 (pow.f64 z 3))))) |
(*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z)) |
(+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (+.f64 (*.f64 255237898068937946539631952839/705600000000000000000000000 (exp.f64 -15/2)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z)))) |
(+.f64 (*.f64 (exp.f64 -15/2) 441081074802767819940949738751/705600000000000000000000000) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z))) |
(fma.f64 (exp.f64 -15/2) 441081074802767819940949738751/705600000000000000000000000 (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z))) |
(fma.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z) (*.f64 (exp.f64 -15/2) 441081074802767819940949738751/705600000000000000000000000)) |
(+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (+.f64 (*.f64 (-.f64 (+.f64 (*.f64 61537768351425256993662252520019/118540800000000000000000000000 (exp.f64 -15/2)) (+.f64 (*.f64 1106209385320415913103082059/8400000000000000000000000 (exp.f64 -15/2)) (*.f64 255237898068937946539631952839/705600000000000000000000000 (exp.f64 -15/2)))) (*.f64 -1106209385320415913103082059/25200000000000000000000000 (*.f64 (exp.f64 -15/2) (pow.f64 (PI.f64) 2)))) z) (+.f64 (*.f64 255237898068937946539631952839/705600000000000000000000000 (exp.f64 -15/2)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z))))) |
(fma.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2) (fma.f64 (+.f64 (fma.f64 61537768351425256993662252520019/118540800000000000000000000000 (exp.f64 -15/2) (*.f64 (exp.f64 -15/2) 69631897287170576648058169159/141120000000000000000000000)) (*.f64 1106209385320415913103082059/25200000000000000000000000 (*.f64 (exp.f64 -15/2) (pow.f64 (PI.f64) 2)))) z (fma.f64 255237898068937946539631952839/705600000000000000000000000 (exp.f64 -15/2) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z))))) |
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(log1p.f64 (expm1.f64 (*.f64 (+.f64 (+.f64 646366562873259793/3000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (exp.f64 (+.f64 z -15/2)))))) |
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(*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) 6493665628732592227/30000000000000000)) (*.f64 (/.f64 (exp.f64 (+.f64 z -15/2)) (sin.f64 (*.f64 z (PI.f64)))) (PI.f64))) |
(exp.f64 (log.f64 (*.f64 (+.f64 (+.f64 646366562873259793/3000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (exp.f64 (+.f64 z -15/2)))))) |
(*.f64 (+.f64 646366562873259793/3000000000000000 (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))))) (*.f64 (exp.f64 (+.f64 z -15/2)) (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))))) |
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(*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) 6493665628732592227/30000000000000000)) (*.f64 (/.f64 (exp.f64 (+.f64 z -15/2)) (sin.f64 (*.f64 z (PI.f64)))) (PI.f64))) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 1.0b | (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) |
| 1.0b | (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) | |
| 1.0b | (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) | |
| 1.0b | (sqrt.f64 (*.f64 (PI.f64) 2)) |
Compiled 456 to 345 computations (24.3% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | z | @ | 0 | (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) |
| 0.0ms | z | @ | inf | (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) |
| 0.0ms | z | @ | -inf | (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) |
| 1× | batch-egg-rewrite |
| 562× | log-prod_binary64 |
| 377× | fma-def_binary64 |
| 353× | pow2_binary64 |
| 262× | log-div_binary64 |
| 245× | expm1-udef_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 16 |
| 1 | 274 | 16 |
| 2 | 3952 | 16 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) |
| Outputs |
|---|
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| 1× | egg-herbie |
| 444× | distribute-rgt-in_binary64 |
| 432× | distribute-lft-in_binary64 |
| 377× | associate-/r*_binary64 |
| 370× | fma-def_binary64 |
| 328× | fma-neg_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 277 | 2234 |
| 1 | 680 | 2161 |
| 2 | 1977 | 2161 |
| 3 | 7464 | 2159 |
| 1× | node limit |
| Inputs |
|---|
-41652288634797769/1000000000000000 |
(-.f64 (*.f64 -105381455914863113/10000000000000000 z) 41652288634797769/1000000000000000) |
(-.f64 (+.f64 (*.f64 -105381455914863113/10000000000000000 z) (*.f64 -531910216885790327/200000000000000000 (pow.f64 z 2))) 41652288634797769/1000000000000000) |
(-.f64 (+.f64 (*.f64 -2679562833674850683/4000000000000000000 (pow.f64 z 3)) (+.f64 (*.f64 -105381455914863113/10000000000000000 z) (*.f64 -531910216885790327/200000000000000000 (pow.f64 z 2)))) 41652288634797769/1000000000000000) |
(/.f64 32821537176690739/200000000000000 z) |
(+.f64 (*.f64 5151387202041023/8000000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 32821537176690739/200000000000000 (/.f64 1 z))) |
(+.f64 (*.f64 5151387202041023/8000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (*.f64 100526275385083079/40000000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 32821537176690739/200000000000000 (/.f64 1 z)))) |
(+.f64 (*.f64 389597758261645411/40000000000000 (/.f64 1 (pow.f64 z 4))) (+.f64 (*.f64 5151387202041023/8000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (*.f64 100526275385083079/40000000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 32821537176690739/200000000000000 (/.f64 1 z))))) |
(/.f64 32821537176690739/200000000000000 z) |
(+.f64 (*.f64 5151387202041023/8000000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 32821537176690739/200000000000000 (/.f64 1 z))) |
(+.f64 (*.f64 5151387202041023/8000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (*.f64 100526275385083079/40000000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 32821537176690739/200000000000000 (/.f64 1 z)))) |
(+.f64 (*.f64 389597758261645411/40000000000000 (/.f64 1 (pow.f64 z 4))) (+.f64 (*.f64 5151387202041023/8000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (*.f64 100526275385083079/40000000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 32821537176690739/200000000000000 (/.f64 1 z))))) |
(-.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))) 1) |
(-.f64 (/.f64 (/.f64 779821713148594364211109354209/25000000000000000000000000 (pow.f64 (-.f64 4 z) 2)) (-.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (/.f64 (/.f64 6257345435636579942128840739161/40000000000000000000000000000 (pow.f64 (-.f64 5 z) 2)) (-.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))) |
(*.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) 1) |
(*.f64 1 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) |
(*.f64 (cbrt.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (pow.f64 (cbrt.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) 2) (cbrt.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))) |
(*.f64 (sqrt.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (sqrt.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))) |
(*.f64 (fma.f64 (-.f64 4 z) 2501468655737381/200000000000000 (*.f64 -883075145810703/5000000000000 (-.f64 5 z))) (/.f64 1 (*.f64 (-.f64 4 z) (-.f64 5 z)))) |
(*.f64 (+.f64 (/.f64 -688641173045047177036613100428008022090298927/125000000000000000000000000000000000000 (pow.f64 (-.f64 4 z) 3)) (/.f64 15652553475366272331312146034805179211538277341/8000000000000000000000000000000000000000000 (pow.f64 (-.f64 5 z) 3))) (/.f64 1 (fma.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (-.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (/.f64 779821713148594364211109354209/25000000000000000000000000 (pow.f64 (-.f64 4 z) 2))))) |
(*.f64 (-.f64 (/.f64 779821713148594364211109354209/25000000000000000000000000 (pow.f64 (-.f64 4 z) 2)) (/.f64 6257345435636579942128840739161/40000000000000000000000000000 (pow.f64 (-.f64 5 z) 2))) (/.f64 1 (-.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))) |
(/.f64 1 (/.f64 (*.f64 (-.f64 4 z) (-.f64 5 z)) (fma.f64 (-.f64 4 z) 2501468655737381/200000000000000 (*.f64 -883075145810703/5000000000000 (-.f64 5 z))))) |
(/.f64 1 (/.f64 (fma.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (-.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (/.f64 779821713148594364211109354209/25000000000000000000000000 (pow.f64 (-.f64 4 z) 2))) (+.f64 (/.f64 -688641173045047177036613100428008022090298927/125000000000000000000000000000000000000 (pow.f64 (-.f64 4 z) 3)) (/.f64 15652553475366272331312146034805179211538277341/8000000000000000000000000000000000000000000 (pow.f64 (-.f64 5 z) 3))))) |
(/.f64 1 (/.f64 (-.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (-.f64 (/.f64 779821713148594364211109354209/25000000000000000000000000 (pow.f64 (-.f64 4 z) 2)) (/.f64 6257345435636579942128840739161/40000000000000000000000000000 (pow.f64 (-.f64 5 z) 2))))) |
(/.f64 (fma.f64 (-.f64 4 z) 2501468655737381/200000000000000 (*.f64 -883075145810703/5000000000000 (-.f64 5 z))) (*.f64 (-.f64 4 z) (-.f64 5 z))) |
(/.f64 (+.f64 (/.f64 -688641173045047177036613100428008022090298927/125000000000000000000000000000000000000 (pow.f64 (-.f64 4 z) 3)) (/.f64 15652553475366272331312146034805179211538277341/8000000000000000000000000000000000000000000 (pow.f64 (-.f64 5 z) 3))) (fma.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (-.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (/.f64 779821713148594364211109354209/25000000000000000000000000 (pow.f64 (-.f64 4 z) 2)))) |
(/.f64 (+.f64 (/.f64 -688641173045047177036613100428008022090298927/125000000000000000000000000000000000000 (pow.f64 (-.f64 4 z) 3)) (/.f64 15652553475366272331312146034805179211538277341/8000000000000000000000000000000000000000000 (pow.f64 (-.f64 5 z) 3))) (+.f64 (/.f64 6257345435636579942128840739161/40000000000000000000000000000 (pow.f64 (-.f64 5 z) 2)) (-.f64 (/.f64 779821713148594364211109354209/25000000000000000000000000 (pow.f64 (-.f64 4 z) 2)) (/.f64 -2208984797906190952107506988843/1000000000000000000000000000 (*.f64 (-.f64 4 z) (-.f64 5 z)))))) |
(/.f64 (-.f64 (/.f64 779821713148594364211109354209/25000000000000000000000000 (pow.f64 (-.f64 4 z) 2)) (/.f64 6257345435636579942128840739161/40000000000000000000000000000 (pow.f64 (-.f64 5 z) 2))) (-.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) |
(/.f64 (neg.f64 (fma.f64 (-.f64 4 z) 2501468655737381/200000000000000 (*.f64 -883075145810703/5000000000000 (-.f64 5 z)))) (neg.f64 (*.f64 (-.f64 4 z) (-.f64 5 z)))) |
(/.f64 (neg.f64 (+.f64 (/.f64 -688641173045047177036613100428008022090298927/125000000000000000000000000000000000000 (pow.f64 (-.f64 4 z) 3)) (/.f64 15652553475366272331312146034805179211538277341/8000000000000000000000000000000000000000000 (pow.f64 (-.f64 5 z) 3)))) (neg.f64 (fma.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (-.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (/.f64 779821713148594364211109354209/25000000000000000000000000 (pow.f64 (-.f64 4 z) 2))))) |
(/.f64 (neg.f64 (-.f64 (/.f64 779821713148594364211109354209/25000000000000000000000000 (pow.f64 (-.f64 4 z) 2)) (/.f64 6257345435636579942128840739161/40000000000000000000000000000 (pow.f64 (-.f64 5 z) 2)))) (neg.f64 (-.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))) |
(/.f64 (+.f64 (-.f64 5 z) (*.f64 (-.f64 -20000000000000/883075145810703 (/.f64 z -883075145810703/5000000000000)) 2501468655737381/200000000000000)) (*.f64 (-.f64 -20000000000000/883075145810703 (/.f64 z -883075145810703/5000000000000)) (-.f64 5 z))) |
(/.f64 (fma.f64 883075145810703/5000000000000 (-.f64 5 z) (*.f64 (neg.f64 (-.f64 4 z)) 2501468655737381/200000000000000)) (*.f64 (neg.f64 (-.f64 4 z)) (-.f64 5 z))) |
(/.f64 (fma.f64 -883075145810703/5000000000000 (-.f64 1000000000000000/2501468655737381 (/.f64 z 2501468655737381/200000000000000)) (-.f64 4 z)) (*.f64 (-.f64 4 z) (-.f64 1000000000000000/2501468655737381 (/.f64 z 2501468655737381/200000000000000)))) |
(/.f64 (fma.f64 (-.f64 5 z) 200000000000000/2501468655737381 (*.f64 (-.f64 -20000000000000/883075145810703 (/.f64 z -883075145810703/5000000000000)) 1)) (*.f64 (-.f64 -20000000000000/883075145810703 (/.f64 z -883075145810703/5000000000000)) (-.f64 1000000000000000/2501468655737381 (/.f64 z 2501468655737381/200000000000000)))) |
(/.f64 (fma.f64 883075145810703/5000000000000 (-.f64 1000000000000000/2501468655737381 (/.f64 z 2501468655737381/200000000000000)) (*.f64 (neg.f64 (-.f64 4 z)) 1)) (*.f64 (neg.f64 (-.f64 4 z)) (-.f64 1000000000000000/2501468655737381 (/.f64 z 2501468655737381/200000000000000)))) |
(/.f64 (fma.f64 -883075145810703/5000000000000 (neg.f64 (-.f64 5 z)) (*.f64 (-.f64 4 z) -2501468655737381/200000000000000)) (*.f64 (-.f64 4 z) (neg.f64 (-.f64 5 z)))) |
(/.f64 (fma.f64 -1 (-.f64 5 z) (*.f64 (-.f64 -20000000000000/883075145810703 (/.f64 z -883075145810703/5000000000000)) -2501468655737381/200000000000000)) (*.f64 (-.f64 -20000000000000/883075145810703 (/.f64 z -883075145810703/5000000000000)) (neg.f64 (-.f64 5 z)))) |
(/.f64 (fma.f64 883075145810703/5000000000000 (neg.f64 (-.f64 5 z)) (*.f64 (neg.f64 (-.f64 4 z)) -2501468655737381/200000000000000)) (*.f64 (neg.f64 (-.f64 4 z)) (neg.f64 (-.f64 5 z)))) |
(/.f64 (+.f64 (-.f64 4 z) (*.f64 (-.f64 1000000000000000/2501468655737381 (/.f64 z 2501468655737381/200000000000000)) -883075145810703/5000000000000)) (*.f64 (-.f64 1000000000000000/2501468655737381 (/.f64 z 2501468655737381/200000000000000)) (-.f64 4 z))) |
(/.f64 (fma.f64 -2501468655737381/200000000000000 (-.f64 4 z) (*.f64 (neg.f64 (-.f64 5 z)) -883075145810703/5000000000000)) (*.f64 (neg.f64 (-.f64 5 z)) (-.f64 4 z))) |
(/.f64 (fma.f64 2501468655737381/200000000000000 (-.f64 -20000000000000/883075145810703 (/.f64 z -883075145810703/5000000000000)) (-.f64 5 z)) (*.f64 (-.f64 5 z) (-.f64 -20000000000000/883075145810703 (/.f64 z -883075145810703/5000000000000)))) |
(/.f64 (fma.f64 (-.f64 4 z) -5000000000000/883075145810703 (*.f64 (-.f64 1000000000000000/2501468655737381 (/.f64 z 2501468655737381/200000000000000)) 1)) (*.f64 (-.f64 1000000000000000/2501468655737381 (/.f64 z 2501468655737381/200000000000000)) (-.f64 -20000000000000/883075145810703 (/.f64 z -883075145810703/5000000000000)))) |
(/.f64 (fma.f64 -2501468655737381/200000000000000 (-.f64 -20000000000000/883075145810703 (/.f64 z -883075145810703/5000000000000)) (*.f64 (neg.f64 (-.f64 5 z)) 1)) (*.f64 (neg.f64 (-.f64 5 z)) (-.f64 -20000000000000/883075145810703 (/.f64 z -883075145810703/5000000000000)))) |
(/.f64 (fma.f64 2501468655737381/200000000000000 (neg.f64 (-.f64 4 z)) (*.f64 (-.f64 5 z) 883075145810703/5000000000000)) (*.f64 (-.f64 5 z) (neg.f64 (-.f64 4 z)))) |
(/.f64 (fma.f64 -1 (-.f64 4 z) (*.f64 (-.f64 1000000000000000/2501468655737381 (/.f64 z 2501468655737381/200000000000000)) 883075145810703/5000000000000)) (*.f64 (-.f64 1000000000000000/2501468655737381 (/.f64 z 2501468655737381/200000000000000)) (neg.f64 (-.f64 4 z)))) |
(/.f64 (fma.f64 -2501468655737381/200000000000000 (neg.f64 (-.f64 4 z)) (*.f64 (neg.f64 (-.f64 5 z)) 883075145810703/5000000000000)) (*.f64 (neg.f64 (-.f64 5 z)) (neg.f64 (-.f64 4 z)))) |
(/.f64 (-.f64 (/.f64 6257345435636579942128840739161/40000000000000000000000000000 (pow.f64 (-.f64 5 z) 2)) (/.f64 779821713148594364211109354209/25000000000000000000000000 (pow.f64 (-.f64 4 z) 2))) (-.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))) |
(/.f64 (/.f64 (fma.f64 (-.f64 4 z) 2501468655737381/200000000000000 (*.f64 -883075145810703/5000000000000 (-.f64 5 z))) (-.f64 4 z)) (-.f64 5 z)) |
(pow.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) 1) |
(pow.f64 (pow.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) 3) 1/3) |
(pow.f64 (cbrt.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) 3) |
(pow.f64 (sqrt.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) 2) |
(pow.f64 (/.f64 (*.f64 (-.f64 4 z) (-.f64 5 z)) (fma.f64 (-.f64 4 z) 2501468655737381/200000000000000 (*.f64 -883075145810703/5000000000000 (-.f64 5 z)))) -1) |
(pow.f64 (/.f64 (fma.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (-.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (/.f64 779821713148594364211109354209/25000000000000000000000000 (pow.f64 (-.f64 4 z) 2))) (+.f64 (/.f64 -688641173045047177036613100428008022090298927/125000000000000000000000000000000000000 (pow.f64 (-.f64 4 z) 3)) (/.f64 15652553475366272331312146034805179211538277341/8000000000000000000000000000000000000000000 (pow.f64 (-.f64 5 z) 3)))) -1) |
(pow.f64 (/.f64 (-.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (-.f64 (/.f64 779821713148594364211109354209/25000000000000000000000000 (pow.f64 (-.f64 4 z) 2)) (/.f64 6257345435636579942128840739161/40000000000000000000000000000 (pow.f64 (-.f64 5 z) 2)))) -1) |
(sqrt.f64 (pow.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) 2)) |
(log.f64 (exp.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))) |
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))) |
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))) (exp.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))) |
(log.f64 (*.f64 (exp.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (+.f64 1 (expm1.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))) |
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))) (+.f64 1 (expm1.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))) |
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (exp.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z))))) |
(log.f64 (*.f64 (exp.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 1 (expm1.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))))) |
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 1 (expm1.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))))) |
(cbrt.f64 (pow.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) 3)) |
(expm1.f64 (log1p.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))) |
(log1p.f64 (expm1.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))) |
(exp.f64 (log.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))) |
(exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) 1)) |
(fma.f64 -883075145810703/5000000000000 (/.f64 1 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) |
(fma.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) 1 (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) |
(fma.f64 2501468655737381/200000000000000 (/.f64 1 (-.f64 5 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) |
(fma.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) 1 (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) |
(fma.f64 1 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) |
(fma.f64 1 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) |
(fma.f64 (cbrt.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (pow.f64 (cbrt.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) 2) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) |
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) 2) (cbrt.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) |
(fma.f64 (cbrt.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (pow.f64 (cbrt.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) 2) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) |
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) 2) (cbrt.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) |
(fma.f64 (sqrt.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (sqrt.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) |
(fma.f64 (sqrt.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (sqrt.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) |
(fma.f64 883075145810703/5000000000000 (/.f64 1 (neg.f64 (-.f64 4 z))) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) |
(fma.f64 -2501468655737381/200000000000000 (/.f64 1 (neg.f64 (-.f64 5 z))) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) |
(fma.f64 (/.f64 1 (-.f64 4 z)) -883075145810703/5000000000000 (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) |
(fma.f64 (/.f64 1 (-.f64 5 z)) 2501468655737381/200000000000000 (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) |
(fma.f64 (/.f64 -883075145810703/5000000000000 (-.f64 64 (pow.f64 z 3))) (fma.f64 z (+.f64 4 z) 16) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) |
(fma.f64 (/.f64 -883075145810703/5000000000000 (-.f64 16 (*.f64 z z))) (+.f64 4 z) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) |
(fma.f64 (/.f64 2501468655737381/200000000000000 (-.f64 125 (pow.f64 z 3))) (fma.f64 z (+.f64 z 5) 25) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) |
(fma.f64 (/.f64 2501468655737381/200000000000000 (-.f64 25 (*.f64 z z))) (+.f64 z 5) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) |
| Outputs |
|---|
-41652288634797769/1000000000000000 |
(-.f64 (*.f64 -105381455914863113/10000000000000000 z) 41652288634797769/1000000000000000) |
(fma.f64 -105381455914863113/10000000000000000 z -41652288634797769/1000000000000000) |
(-.f64 (+.f64 (*.f64 -105381455914863113/10000000000000000 z) (*.f64 -531910216885790327/200000000000000000 (pow.f64 z 2))) 41652288634797769/1000000000000000) |
(+.f64 (fma.f64 -105381455914863113/10000000000000000 z (*.f64 -531910216885790327/200000000000000000 (*.f64 z z))) -41652288634797769/1000000000000000) |
(fma.f64 -105381455914863113/10000000000000000 z (fma.f64 -531910216885790327/200000000000000000 (*.f64 z z) -41652288634797769/1000000000000000)) |
(fma.f64 -105381455914863113/10000000000000000 z (fma.f64 z (*.f64 z -531910216885790327/200000000000000000) -41652288634797769/1000000000000000)) |
(fma.f64 z (+.f64 -105381455914863113/10000000000000000 (*.f64 z -531910216885790327/200000000000000000)) -41652288634797769/1000000000000000) |
(-.f64 (+.f64 (*.f64 -2679562833674850683/4000000000000000000 (pow.f64 z 3)) (+.f64 (*.f64 -105381455914863113/10000000000000000 z) (*.f64 -531910216885790327/200000000000000000 (pow.f64 z 2)))) 41652288634797769/1000000000000000) |
(+.f64 (fma.f64 -2679562833674850683/4000000000000000000 (pow.f64 z 3) (fma.f64 -105381455914863113/10000000000000000 z (*.f64 -531910216885790327/200000000000000000 (*.f64 z z)))) -41652288634797769/1000000000000000) |
(fma.f64 -2679562833674850683/4000000000000000000 (pow.f64 z 3) (fma.f64 -105381455914863113/10000000000000000 z (fma.f64 -531910216885790327/200000000000000000 (*.f64 z z) -41652288634797769/1000000000000000))) |
(fma.f64 -2679562833674850683/4000000000000000000 (pow.f64 z 3) (fma.f64 -105381455914863113/10000000000000000 z (fma.f64 z (*.f64 z -531910216885790327/200000000000000000) -41652288634797769/1000000000000000))) |
(fma.f64 -2679562833674850683/4000000000000000000 (pow.f64 z 3) (fma.f64 z (+.f64 -105381455914863113/10000000000000000 (*.f64 z -531910216885790327/200000000000000000)) -41652288634797769/1000000000000000)) |
(/.f64 32821537176690739/200000000000000 z) |
(+.f64 (*.f64 5151387202041023/8000000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 32821537176690739/200000000000000 (/.f64 1 z))) |
(+.f64 (/.f64 5151387202041023/8000000000000 (*.f64 z z)) (/.f64 32821537176690739/200000000000000 z)) |
(+.f64 (/.f64 (/.f64 5151387202041023/8000000000000 z) z) (/.f64 32821537176690739/200000000000000 z)) |
(+.f64 (*.f64 5151387202041023/8000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (*.f64 100526275385083079/40000000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 32821537176690739/200000000000000 (/.f64 1 z)))) |
(+.f64 (/.f64 5151387202041023/8000000000000 (*.f64 z z)) (+.f64 (/.f64 32821537176690739/200000000000000 z) (/.f64 100526275385083079/40000000000000 (pow.f64 z 3)))) |
(+.f64 (+.f64 (/.f64 (/.f64 5151387202041023/8000000000000 z) z) (/.f64 32821537176690739/200000000000000 z)) (/.f64 100526275385083079/40000000000000 (pow.f64 z 3))) |
(+.f64 (*.f64 389597758261645411/40000000000000 (/.f64 1 (pow.f64 z 4))) (+.f64 (*.f64 5151387202041023/8000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (*.f64 100526275385083079/40000000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 32821537176690739/200000000000000 (/.f64 1 z))))) |
(+.f64 (+.f64 (/.f64 5151387202041023/8000000000000 (*.f64 z z)) (+.f64 (/.f64 32821537176690739/200000000000000 z) (/.f64 100526275385083079/40000000000000 (pow.f64 z 3)))) (/.f64 389597758261645411/40000000000000 (pow.f64 z 4))) |
(+.f64 (+.f64 (/.f64 32821537176690739/200000000000000 z) (/.f64 100526275385083079/40000000000000 (pow.f64 z 3))) (+.f64 (/.f64 (/.f64 5151387202041023/8000000000000 z) z) (/.f64 389597758261645411/40000000000000 (pow.f64 z 4)))) |
(+.f64 (+.f64 (/.f64 (/.f64 5151387202041023/8000000000000 z) z) (/.f64 32821537176690739/200000000000000 z)) (+.f64 (/.f64 100526275385083079/40000000000000 (pow.f64 z 3)) (/.f64 389597758261645411/40000000000000 (pow.f64 z 4)))) |
(/.f64 32821537176690739/200000000000000 z) |
(+.f64 (*.f64 5151387202041023/8000000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 32821537176690739/200000000000000 (/.f64 1 z))) |
(+.f64 (/.f64 5151387202041023/8000000000000 (*.f64 z z)) (/.f64 32821537176690739/200000000000000 z)) |
(+.f64 (/.f64 (/.f64 5151387202041023/8000000000000 z) z) (/.f64 32821537176690739/200000000000000 z)) |
(+.f64 (*.f64 5151387202041023/8000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (*.f64 100526275385083079/40000000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 32821537176690739/200000000000000 (/.f64 1 z)))) |
(+.f64 (/.f64 5151387202041023/8000000000000 (*.f64 z z)) (+.f64 (/.f64 32821537176690739/200000000000000 z) (/.f64 100526275385083079/40000000000000 (pow.f64 z 3)))) |
(+.f64 (+.f64 (/.f64 (/.f64 5151387202041023/8000000000000 z) z) (/.f64 32821537176690739/200000000000000 z)) (/.f64 100526275385083079/40000000000000 (pow.f64 z 3))) |
(+.f64 (*.f64 389597758261645411/40000000000000 (/.f64 1 (pow.f64 z 4))) (+.f64 (*.f64 5151387202041023/8000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (*.f64 100526275385083079/40000000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 32821537176690739/200000000000000 (/.f64 1 z))))) |
(+.f64 (+.f64 (/.f64 5151387202041023/8000000000000 (*.f64 z z)) (+.f64 (/.f64 32821537176690739/200000000000000 z) (/.f64 100526275385083079/40000000000000 (pow.f64 z 3)))) (/.f64 389597758261645411/40000000000000 (pow.f64 z 4))) |
(+.f64 (+.f64 (/.f64 32821537176690739/200000000000000 z) (/.f64 100526275385083079/40000000000000 (pow.f64 z 3))) (+.f64 (/.f64 (/.f64 5151387202041023/8000000000000 z) z) (/.f64 389597758261645411/40000000000000 (pow.f64 z 4)))) |
(+.f64 (+.f64 (/.f64 (/.f64 5151387202041023/8000000000000 z) z) (/.f64 32821537176690739/200000000000000 z)) (+.f64 (/.f64 100526275385083079/40000000000000 (pow.f64 z 3)) (/.f64 389597758261645411/40000000000000 (pow.f64 z 4)))) |
(-.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))) 1) |
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(fma.f64 (/.f64 1 (-.f64 5 z)) 2501468655737381/200000000000000 (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) |
(+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) |
(+.f64 (/.f64 883075145810703/5000000000000 (+.f64 z -4)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) |
(fma.f64 (/.f64 -883075145810703/5000000000000 (-.f64 64 (pow.f64 z 3))) (fma.f64 z (+.f64 4 z) 16) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) |
(fma.f64 (/.f64 -883075145810703/5000000000000 (-.f64 64 (pow.f64 z 3))) (fma.f64 z (+.f64 z 4) 16) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) |
(fma.f64 (/.f64 -883075145810703/5000000000000 (-.f64 16 (*.f64 z z))) (+.f64 4 z) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) |
(fma.f64 (/.f64 -883075145810703/5000000000000 (-.f64 16 (*.f64 z z))) (+.f64 z 4) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) |
(fma.f64 (+.f64 z 4) (/.f64 -883075145810703/5000000000000 (fma.f64 z (neg.f64 z) 16)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) |
(fma.f64 (/.f64 2501468655737381/200000000000000 (-.f64 125 (pow.f64 z 3))) (fma.f64 z (+.f64 z 5) 25) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) |
(fma.f64 (/.f64 2501468655737381/200000000000000 (-.f64 125 (pow.f64 z 3))) (fma.f64 z (+.f64 z 5) 25) (/.f64 883075145810703/5000000000000 (+.f64 z -4))) |
(fma.f64 (/.f64 2501468655737381/200000000000000 (-.f64 25 (*.f64 z z))) (+.f64 z 5) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) |
(fma.f64 (+.f64 z 5) (/.f64 2501468655737381/200000000000000 (fma.f64 z (neg.f64 z) 25)) (/.f64 883075145810703/5000000000000 (+.f64 z -4))) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 1.0b | (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) | |
| 1.0b | (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) | |
| 1.0b | (sqrt.f64 (*.f64 (PI.f64) 2)) | |
| ✓ | 1.1b | (+.f64 (*.f64 -3147848041806007/2500000000000 (-.f64 1 z)) (*.f64 (-.f64 2 z) 6765203681218851/10000000000000)) |
Compiled 572 to 436 computations (23.8% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | z | @ | 0 | (+.f64 (*.f64 -3147848041806007/2500000000000 (-.f64 1 z)) (*.f64 (-.f64 2 z) 6765203681218851/10000000000000)) |
| 0.0ms | z | @ | inf | (+.f64 (*.f64 -3147848041806007/2500000000000 (-.f64 1 z)) (*.f64 (-.f64 2 z) 6765203681218851/10000000000000)) |
| 0.0ms | z | @ | -inf | (+.f64 (*.f64 -3147848041806007/2500000000000 (-.f64 1 z)) (*.f64 (-.f64 2 z) 6765203681218851/10000000000000)) |
| 1× | batch-egg-rewrite |
| 503× | log-prod_binary64 |
| 379× | fma-def_binary64 |
| 307× | pow2_binary64 |
| 298× | pow-prod-down_binary64 |
| 211× | expm1-udef_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 14 |
| 1 | 246 | 14 |
| 2 | 3185 | 14 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 (*.f64 -3147848041806007/2500000000000 (-.f64 1 z)) (*.f64 (-.f64 2 z) 6765203681218851/10000000000000)) |
| Outputs |
|---|
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-3147848041806007/2500000000000 (-.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (-.f64 2 z)) 2) (*.f64 (cbrt.f64 (-.f64 2 z)) 6765203681218851/10000000000000) (*.f64 -3147848041806007/2500000000000 (-.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (-.f64 1 z)) 2) (*.f64 (cbrt.f64 (-.f64 1 z)) -3147848041806007/2500000000000) (*.f64 (-.f64 2 z) 6765203681218851/10000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 -3147848041806007/2500000000000 (-.f64 1 z))) (pow.f64 (cbrt.f64 (*.f64 -3147848041806007/2500000000000 (-.f64 1 z))) 2) (*.f64 (-.f64 2 z) 6765203681218851/10000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 -3147848041806007/2500000000000 (-.f64 1 z))) 2) (cbrt.f64 (*.f64 -3147848041806007/2500000000000 (-.f64 1 z))) (*.f64 (-.f64 2 z) 6765203681218851/10000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (-.f64 2 z) 6765203681218851/10000000000000)) (pow.f64 (cbrt.f64 (*.f64 (-.f64 2 z) 6765203681218851/10000000000000)) 2) (*.f64 -3147848041806007/2500000000000 (-.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 2 z) 6765203681218851/10000000000000)) 2) (cbrt.f64 (*.f64 (-.f64 2 z) 6765203681218851/10000000000000)) (*.f64 -3147848041806007/2500000000000 (-.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (-.f64 2 z)) (*.f64 (sqrt.f64 (-.f64 2 z)) 6765203681218851/10000000000000) (*.f64 -3147848041806007/2500000000000 (-.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (-.f64 1 z)) (*.f64 (sqrt.f64 (-.f64 1 z)) -3147848041806007/2500000000000) (*.f64 (-.f64 2 z) 6765203681218851/10000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 -3147848041806007/2500000000000 (-.f64 1 z))) (sqrt.f64 (*.f64 -3147848041806007/2500000000000 (-.f64 1 z))) (*.f64 (-.f64 2 z) 6765203681218851/10000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 (-.f64 2 z) 6765203681218851/10000000000000)) (sqrt.f64 (*.f64 (-.f64 2 z) 6765203681218851/10000000000000)) (*.f64 -3147848041806007/2500000000000 (-.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -3147848041806007/2500000000000 (pow.f64 (cbrt.f64 (-.f64 1 z)) 2)) (cbrt.f64 (-.f64 1 z)) (*.f64 (-.f64 2 z) 6765203681218851/10000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -3147848041806007/2500000000000 (sqrt.f64 (-.f64 1 z))) (sqrt.f64 (-.f64 1 z)) (*.f64 (-.f64 2 z) 6765203681218851/10000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 6765203681218851/10000000000000 (pow.f64 (cbrt.f64 (-.f64 2 z)) 2)) (cbrt.f64 (-.f64 2 z)) (*.f64 -3147848041806007/2500000000000 (-.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 6765203681218851/10000000000000 (sqrt.f64 (-.f64 2 z))) (sqrt.f64 (-.f64 2 z)) (*.f64 -3147848041806007/2500000000000 (-.f64 1 z))))))) |
| 1× | egg-herbie |
| 559× | times-frac_binary64 |
| 289× | cancel-sign-sub-inv_binary64 |
| 283× | distribute-rgt-in_binary64 |
| 278× | fma-neg_binary64 |
| 269× | distribute-lft-in_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 168 | 1412 |
| 1 | 417 | 1350 |
| 2 | 1121 | 1350 |
| 3 | 4455 | 1350 |
| 1× | node limit |
| Inputs |
|---|
469507597606837/5000000000000 |
(+.f64 469507597606837/5000000000000 (*.f64 5826188486005177/10000000000000 z)) |
(+.f64 469507597606837/5000000000000 (*.f64 5826188486005177/10000000000000 z)) |
(+.f64 469507597606837/5000000000000 (*.f64 5826188486005177/10000000000000 z)) |
(*.f64 5826188486005177/10000000000000 z) |
(+.f64 469507597606837/5000000000000 (*.f64 5826188486005177/10000000000000 z)) |
(+.f64 469507597606837/5000000000000 (*.f64 5826188486005177/10000000000000 z)) |
(+.f64 469507597606837/5000000000000 (*.f64 5826188486005177/10000000000000 z)) |
(*.f64 5826188486005177/10000000000000 z) |
(+.f64 469507597606837/5000000000000 (*.f64 5826188486005177/10000000000000 z)) |
(+.f64 469507597606837/5000000000000 (*.f64 5826188486005177/10000000000000 z)) |
(+.f64 469507597606837/5000000000000 (*.f64 5826188486005177/10000000000000 z)) |
(-.f64 (exp.f64 (log1p.f64 (fma.f64 -3147848041806007/2500000000000 (-.f64 1 z) (*.f64 (-.f64 2 z) 6765203681218851/10000000000000)))) 1) |
(-.f64 (/.f64 (*.f64 (pow.f64 (-.f64 1 z) 2) 9908947294301912793614221284049/6250000000000000000000000) (fma.f64 -3147848041806007/2500000000000 (-.f64 1 z) (*.f64 -6765203681218851/10000000000000 (-.f64 2 z)))) (/.f64 (*.f64 (pow.f64 (-.f64 2 z) 2) 45767980848377092942628957760201/100000000000000000000000000) (fma.f64 -3147848041806007/2500000000000 (-.f64 1 z) (*.f64 -6765203681218851/10000000000000 (-.f64 2 z))))) |
(*.f64 1 (fma.f64 -3147848041806007/2500000000000 (-.f64 1 z) (*.f64 (-.f64 2 z) 6765203681218851/10000000000000))) |
(*.f64 (fma.f64 -3147848041806007/2500000000000 (-.f64 1 z) (*.f64 (-.f64 2 z) 6765203681218851/10000000000000)) 1) |
(*.f64 (cbrt.f64 (fma.f64 -3147848041806007/2500000000000 (-.f64 1 z) (*.f64 (-.f64 2 z) 6765203681218851/10000000000000))) (pow.f64 (cbrt.f64 (fma.f64 -3147848041806007/2500000000000 (-.f64 1 z) (*.f64 (-.f64 2 z) 6765203681218851/10000000000000))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 -3147848041806007/2500000000000 (-.f64 1 z) (*.f64 (-.f64 2 z) 6765203681218851/10000000000000))) 2) (cbrt.f64 (fma.f64 -3147848041806007/2500000000000 (-.f64 1 z) (*.f64 (-.f64 2 z) 6765203681218851/10000000000000)))) |
(*.f64 (sqrt.f64 (fma.f64 -3147848041806007/2500000000000 (-.f64 1 z) (*.f64 (-.f64 2 z) 6765203681218851/10000000000000))) (sqrt.f64 (fma.f64 -3147848041806007/2500000000000 (-.f64 1 z) (*.f64 (-.f64 2 z) 6765203681218851/10000000000000)))) |
(*.f64 (fma.f64 (pow.f64 (-.f64 2 z) 3) 309629712517394580428200722024092610534658749051/1000000000000000000000000000000000000000 (*.f64 (pow.f64 (-.f64 1 z) 3) -31191860336727207531769765603776766852501482343/15625000000000000000000000000000000000)) (/.f64 1 (fma.f64 (*.f64 (-.f64 2 z) 6765203681218851/10000000000000) (-.f64 (*.f64 (-.f64 2 z) 6765203681218851/10000000000000) (*.f64 -3147848041806007/2500000000000 (-.f64 1 z))) (*.f64 (pow.f64 (-.f64 1 z) 2) 9908947294301912793614221284049/6250000000000000000000000)))) |
(*.f64 (-.f64 (*.f64 (pow.f64 (-.f64 1 z) 2) 9908947294301912793614221284049/6250000000000000000000000) (*.f64 (pow.f64 (-.f64 2 z) 2) 45767980848377092942628957760201/100000000000000000000000000)) (/.f64 1 (fma.f64 -3147848041806007/2500000000000 (-.f64 1 z) (*.f64 -6765203681218851/10000000000000 (-.f64 2 z))))) |
(/.f64 1 (/.f64 (fma.f64 (*.f64 (-.f64 2 z) 6765203681218851/10000000000000) (-.f64 (*.f64 (-.f64 2 z) 6765203681218851/10000000000000) (*.f64 -3147848041806007/2500000000000 (-.f64 1 z))) (*.f64 (pow.f64 (-.f64 1 z) 2) 9908947294301912793614221284049/6250000000000000000000000)) (fma.f64 (pow.f64 (-.f64 2 z) 3) 309629712517394580428200722024092610534658749051/1000000000000000000000000000000000000000 (*.f64 (pow.f64 (-.f64 1 z) 3) -31191860336727207531769765603776766852501482343/15625000000000000000000000000000000000)))) |
(/.f64 1 (/.f64 (fma.f64 -3147848041806007/2500000000000 (-.f64 1 z) (*.f64 -6765203681218851/10000000000000 (-.f64 2 z))) (-.f64 (*.f64 (pow.f64 (-.f64 1 z) 2) 9908947294301912793614221284049/6250000000000000000000000) (*.f64 (pow.f64 (-.f64 2 z) 2) 45767980848377092942628957760201/100000000000000000000000000)))) |
(/.f64 (fma.f64 (pow.f64 (-.f64 2 z) 3) 309629712517394580428200722024092610534658749051/1000000000000000000000000000000000000000 (*.f64 (pow.f64 (-.f64 1 z) 3) -31191860336727207531769765603776766852501482343/15625000000000000000000000000000000000)) (fma.f64 (*.f64 (-.f64 2 z) 6765203681218851/10000000000000) (-.f64 (*.f64 (-.f64 2 z) 6765203681218851/10000000000000) (*.f64 -3147848041806007/2500000000000 (-.f64 1 z))) (*.f64 (pow.f64 (-.f64 1 z) 2) 9908947294301912793614221284049/6250000000000000000000000))) |
(/.f64 (fma.f64 (pow.f64 (-.f64 2 z) 3) 309629712517394580428200722024092610534658749051/1000000000000000000000000000000000000000 (*.f64 (pow.f64 (-.f64 1 z) 3) -31191860336727207531769765603776766852501482343/15625000000000000000000000000000000000)) (fma.f64 (pow.f64 (-.f64 2 z) 2) 45767980848377092942628957760201/100000000000000000000000000 (-.f64 (*.f64 (pow.f64 (-.f64 1 z) 2) 9908947294301912793614221284049/6250000000000000000000000) (*.f64 -3147848041806007/2500000000000 (*.f64 (-.f64 1 z) (*.f64 (-.f64 2 z) 6765203681218851/10000000000000)))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (-.f64 1 z) 2) 9908947294301912793614221284049/6250000000000000000000000) (*.f64 (pow.f64 (-.f64 2 z) 2) 45767980848377092942628957760201/100000000000000000000000000)) (fma.f64 -3147848041806007/2500000000000 (-.f64 1 z) (*.f64 -6765203681218851/10000000000000 (-.f64 2 z)))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 (-.f64 2 z) 3) 309629712517394580428200722024092610534658749051/1000000000000000000000000000000000000000 (*.f64 (pow.f64 (-.f64 1 z) 3) -31191860336727207531769765603776766852501482343/15625000000000000000000000000000000000))) (neg.f64 (fma.f64 (*.f64 (-.f64 2 z) 6765203681218851/10000000000000) (-.f64 (*.f64 (-.f64 2 z) 6765203681218851/10000000000000) (*.f64 -3147848041806007/2500000000000 (-.f64 1 z))) (*.f64 (pow.f64 (-.f64 1 z) 2) 9908947294301912793614221284049/6250000000000000000000000)))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 (-.f64 1 z) 2) 9908947294301912793614221284049/6250000000000000000000000) (*.f64 (pow.f64 (-.f64 2 z) 2) 45767980848377092942628957760201/100000000000000000000000000))) (neg.f64 (fma.f64 -3147848041806007/2500000000000 (-.f64 1 z) (*.f64 -6765203681218851/10000000000000 (-.f64 2 z))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (-.f64 2 z) 2) 45767980848377092942628957760201/100000000000000000000000000) (*.f64 (pow.f64 (-.f64 1 z) 2) 9908947294301912793614221284049/6250000000000000000000000)) (-.f64 (*.f64 (-.f64 2 z) 6765203681218851/10000000000000) (*.f64 -3147848041806007/2500000000000 (-.f64 1 z)))) |
(pow.f64 (fma.f64 -3147848041806007/2500000000000 (-.f64 1 z) (*.f64 (-.f64 2 z) 6765203681218851/10000000000000)) 1) |
(pow.f64 (pow.f64 (fma.f64 -3147848041806007/2500000000000 (-.f64 1 z) (*.f64 (-.f64 2 z) 6765203681218851/10000000000000)) 2) 1/2) |
(pow.f64 (pow.f64 (fma.f64 -3147848041806007/2500000000000 (-.f64 1 z) (*.f64 (-.f64 2 z) 6765203681218851/10000000000000)) 3) 1/3) |
(pow.f64 (cbrt.f64 (fma.f64 -3147848041806007/2500000000000 (-.f64 1 z) (*.f64 (-.f64 2 z) 6765203681218851/10000000000000))) 3) |
(pow.f64 (sqrt.f64 (fma.f64 -3147848041806007/2500000000000 (-.f64 1 z) (*.f64 (-.f64 2 z) 6765203681218851/10000000000000))) 2) |
(pow.f64 (/.f64 (fma.f64 (*.f64 (-.f64 2 z) 6765203681218851/10000000000000) (-.f64 (*.f64 (-.f64 2 z) 6765203681218851/10000000000000) (*.f64 -3147848041806007/2500000000000 (-.f64 1 z))) (*.f64 (pow.f64 (-.f64 1 z) 2) 9908947294301912793614221284049/6250000000000000000000000)) (fma.f64 (pow.f64 (-.f64 2 z) 3) 309629712517394580428200722024092610534658749051/1000000000000000000000000000000000000000 (*.f64 (pow.f64 (-.f64 1 z) 3) -31191860336727207531769765603776766852501482343/15625000000000000000000000000000000000))) -1) |
(pow.f64 (/.f64 (fma.f64 -3147848041806007/2500000000000 (-.f64 1 z) (*.f64 -6765203681218851/10000000000000 (-.f64 2 z))) (-.f64 (*.f64 (pow.f64 (-.f64 1 z) 2) 9908947294301912793614221284049/6250000000000000000000000) (*.f64 (pow.f64 (-.f64 2 z) 2) 45767980848377092942628957760201/100000000000000000000000000))) -1) |
(sqrt.f64 (pow.f64 (fma.f64 -3147848041806007/2500000000000 (-.f64 1 z) (*.f64 (-.f64 2 z) 6765203681218851/10000000000000)) 2)) |
(log.f64 (exp.f64 (fma.f64 -3147848041806007/2500000000000 (-.f64 1 z) (*.f64 (-.f64 2 z) 6765203681218851/10000000000000)))) |
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 -3147848041806007/2500000000000 (-.f64 1 z) (*.f64 (-.f64 2 z) 6765203681218851/10000000000000))))) |
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 -3147848041806007/2500000000000 (-.f64 1 z)))) (pow.f64 (exp.f64 6765203681218851/10000000000000) (-.f64 2 z)))) |
(log.f64 (*.f64 (pow.f64 (exp.f64 -3147848041806007/2500000000000) (-.f64 1 z)) (+.f64 1 (expm1.f64 (*.f64 (-.f64 2 z) 6765203681218851/10000000000000))))) |
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 -3147848041806007/2500000000000 (-.f64 1 z)))) (+.f64 1 (expm1.f64 (*.f64 (-.f64 2 z) 6765203681218851/10000000000000))))) |
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 2 z) 6765203681218851/10000000000000))) (pow.f64 (exp.f64 -3147848041806007/2500000000000) (-.f64 1 z)))) |
(log.f64 (*.f64 (pow.f64 (exp.f64 6765203681218851/10000000000000) (-.f64 2 z)) (+.f64 1 (expm1.f64 (*.f64 -3147848041806007/2500000000000 (-.f64 1 z)))))) |
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 2 z) 6765203681218851/10000000000000))) (+.f64 1 (expm1.f64 (*.f64 -3147848041806007/2500000000000 (-.f64 1 z)))))) |
(cbrt.f64 (pow.f64 (fma.f64 -3147848041806007/2500000000000 (-.f64 1 z) (*.f64 (-.f64 2 z) 6765203681218851/10000000000000)) 3)) |
(expm1.f64 (log1p.f64 (fma.f64 -3147848041806007/2500000000000 (-.f64 1 z) (*.f64 (-.f64 2 z) 6765203681218851/10000000000000)))) |
(log1p.f64 (expm1.f64 (fma.f64 -3147848041806007/2500000000000 (-.f64 1 z) (*.f64 (-.f64 2 z) 6765203681218851/10000000000000)))) |
(exp.f64 (log.f64 (fma.f64 -3147848041806007/2500000000000 (-.f64 1 z) (*.f64 (-.f64 2 z) 6765203681218851/10000000000000)))) |
(exp.f64 (*.f64 (log.f64 (fma.f64 -3147848041806007/2500000000000 (-.f64 1 z) (*.f64 (-.f64 2 z) 6765203681218851/10000000000000))) 1)) |
(exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 -3147848041806007/2500000000000 (-.f64 1 z) (*.f64 (-.f64 2 z) 6765203681218851/10000000000000)))) 1/3)) |
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 -3147848041806007/2500000000000 (-.f64 1 z) (*.f64 (-.f64 2 z) 6765203681218851/10000000000000)))) 3)) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 -3147848041806007/2500000000000 (-.f64 1 z) (*.f64 (-.f64 2 z) 6765203681218851/10000000000000)))) 2)) |
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 -3147848041806007/2500000000000 (-.f64 1 z) (*.f64 (-.f64 2 z) 6765203681218851/10000000000000))) 1) 1)) |
(fma.f64 -3147848041806007/2500000000000 (-.f64 1 z) (*.f64 (-.f64 2 z) 6765203681218851/10000000000000)) |
(fma.f64 1 (*.f64 -3147848041806007/2500000000000 (-.f64 1 z)) (*.f64 (-.f64 2 z) 6765203681218851/10000000000000)) |
(fma.f64 1 (*.f64 (-.f64 2 z) 6765203681218851/10000000000000) (*.f64 -3147848041806007/2500000000000 (-.f64 1 z))) |
(fma.f64 (-.f64 1 z) -3147848041806007/2500000000000 (*.f64 (-.f64 2 z) 6765203681218851/10000000000000)) |
(fma.f64 (*.f64 -3147848041806007/2500000000000 (-.f64 1 z)) 1 (*.f64 (-.f64 2 z) 6765203681218851/10000000000000)) |
(fma.f64 (-.f64 2 z) 6765203681218851/10000000000000 (*.f64 -3147848041806007/2500000000000 (-.f64 1 z))) |
(fma.f64 6765203681218851/10000000000000 (-.f64 2 z) (*.f64 -3147848041806007/2500000000000 (-.f64 1 z))) |
(fma.f64 (*.f64 (-.f64 2 z) 6765203681218851/10000000000000) 1 (*.f64 -3147848041806007/2500000000000 (-.f64 1 z))) |
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 2 z)) 2) (*.f64 (cbrt.f64 (-.f64 2 z)) 6765203681218851/10000000000000) (*.f64 -3147848041806007/2500000000000 (-.f64 1 z))) |
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 1 z)) 2) (*.f64 (cbrt.f64 (-.f64 1 z)) -3147848041806007/2500000000000) (*.f64 (-.f64 2 z) 6765203681218851/10000000000000)) |
(fma.f64 (cbrt.f64 (*.f64 -3147848041806007/2500000000000 (-.f64 1 z))) (pow.f64 (cbrt.f64 (*.f64 -3147848041806007/2500000000000 (-.f64 1 z))) 2) (*.f64 (-.f64 2 z) 6765203681218851/10000000000000)) |
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 -3147848041806007/2500000000000 (-.f64 1 z))) 2) (cbrt.f64 (*.f64 -3147848041806007/2500000000000 (-.f64 1 z))) (*.f64 (-.f64 2 z) 6765203681218851/10000000000000)) |
(fma.f64 (cbrt.f64 (*.f64 (-.f64 2 z) 6765203681218851/10000000000000)) (pow.f64 (cbrt.f64 (*.f64 (-.f64 2 z) 6765203681218851/10000000000000)) 2) (*.f64 -3147848041806007/2500000000000 (-.f64 1 z))) |
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 2 z) 6765203681218851/10000000000000)) 2) (cbrt.f64 (*.f64 (-.f64 2 z) 6765203681218851/10000000000000)) (*.f64 -3147848041806007/2500000000000 (-.f64 1 z))) |
(fma.f64 (sqrt.f64 (-.f64 2 z)) (*.f64 (sqrt.f64 (-.f64 2 z)) 6765203681218851/10000000000000) (*.f64 -3147848041806007/2500000000000 (-.f64 1 z))) |
(fma.f64 (sqrt.f64 (-.f64 1 z)) (*.f64 (sqrt.f64 (-.f64 1 z)) -3147848041806007/2500000000000) (*.f64 (-.f64 2 z) 6765203681218851/10000000000000)) |
(fma.f64 (sqrt.f64 (*.f64 -3147848041806007/2500000000000 (-.f64 1 z))) (sqrt.f64 (*.f64 -3147848041806007/2500000000000 (-.f64 1 z))) (*.f64 (-.f64 2 z) 6765203681218851/10000000000000)) |
(fma.f64 (sqrt.f64 (*.f64 (-.f64 2 z) 6765203681218851/10000000000000)) (sqrt.f64 (*.f64 (-.f64 2 z) 6765203681218851/10000000000000)) (*.f64 -3147848041806007/2500000000000 (-.f64 1 z))) |
(fma.f64 (*.f64 -3147848041806007/2500000000000 (pow.f64 (cbrt.f64 (-.f64 1 z)) 2)) (cbrt.f64 (-.f64 1 z)) (*.f64 (-.f64 2 z) 6765203681218851/10000000000000)) |
(fma.f64 (*.f64 -3147848041806007/2500000000000 (sqrt.f64 (-.f64 1 z))) (sqrt.f64 (-.f64 1 z)) (*.f64 (-.f64 2 z) 6765203681218851/10000000000000)) |
(fma.f64 (*.f64 6765203681218851/10000000000000 (pow.f64 (cbrt.f64 (-.f64 2 z)) 2)) (cbrt.f64 (-.f64 2 z)) (*.f64 -3147848041806007/2500000000000 (-.f64 1 z))) |
(fma.f64 (*.f64 6765203681218851/10000000000000 (sqrt.f64 (-.f64 2 z))) (sqrt.f64 (-.f64 2 z)) (*.f64 -3147848041806007/2500000000000 (-.f64 1 z))) |
| Outputs |
|---|
469507597606837/5000000000000 |
(+.f64 469507597606837/5000000000000 (*.f64 5826188486005177/10000000000000 z)) |
(fma.f64 5826188486005177/10000000000000 z 469507597606837/5000000000000) |
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(exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 -3147848041806007/2500000000000 (-.f64 1 z) (*.f64 (-.f64 2 z) 6765203681218851/10000000000000)))) 1/3)) |
(fma.f64 -3147848041806007/2500000000000 (-.f64 1 z) (*.f64 (-.f64 2 z) 6765203681218851/10000000000000)) |
(fma.f64 -3147848041806007/2500000000000 (-.f64 1 z) (+.f64 6765203681218851/5000000000000 (*.f64 z -6765203681218851/10000000000000))) |
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 -3147848041806007/2500000000000 (-.f64 1 z) (*.f64 (-.f64 2 z) 6765203681218851/10000000000000)))) 3)) |
(fma.f64 -3147848041806007/2500000000000 (-.f64 1 z) (*.f64 (-.f64 2 z) 6765203681218851/10000000000000)) |
(fma.f64 -3147848041806007/2500000000000 (-.f64 1 z) (+.f64 6765203681218851/5000000000000 (*.f64 z -6765203681218851/10000000000000))) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 -3147848041806007/2500000000000 (-.f64 1 z) (*.f64 (-.f64 2 z) 6765203681218851/10000000000000)))) 2)) |
(fma.f64 -3147848041806007/2500000000000 (-.f64 1 z) (*.f64 (-.f64 2 z) 6765203681218851/10000000000000)) |
(fma.f64 -3147848041806007/2500000000000 (-.f64 1 z) (+.f64 6765203681218851/5000000000000 (*.f64 z -6765203681218851/10000000000000))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 -3147848041806007/2500000000000 (-.f64 1 z) (*.f64 (-.f64 2 z) 6765203681218851/10000000000000))) 1) 1)) |
(fma.f64 -3147848041806007/2500000000000 (-.f64 1 z) (*.f64 (-.f64 2 z) 6765203681218851/10000000000000)) |
(fma.f64 -3147848041806007/2500000000000 (-.f64 1 z) (+.f64 6765203681218851/5000000000000 (*.f64 z -6765203681218851/10000000000000))) |
(fma.f64 -3147848041806007/2500000000000 (-.f64 1 z) (*.f64 (-.f64 2 z) 6765203681218851/10000000000000)) |
(fma.f64 -3147848041806007/2500000000000 (-.f64 1 z) (+.f64 6765203681218851/5000000000000 (*.f64 z -6765203681218851/10000000000000))) |
(fma.f64 1 (*.f64 -3147848041806007/2500000000000 (-.f64 1 z)) (*.f64 (-.f64 2 z) 6765203681218851/10000000000000)) |
(fma.f64 -3147848041806007/2500000000000 (-.f64 1 z) (*.f64 (-.f64 2 z) 6765203681218851/10000000000000)) |
(fma.f64 -3147848041806007/2500000000000 (-.f64 1 z) (+.f64 6765203681218851/5000000000000 (*.f64 z -6765203681218851/10000000000000))) |
(fma.f64 1 (*.f64 (-.f64 2 z) 6765203681218851/10000000000000) (*.f64 -3147848041806007/2500000000000 (-.f64 1 z))) |
(fma.f64 -3147848041806007/2500000000000 (-.f64 1 z) (*.f64 (-.f64 2 z) 6765203681218851/10000000000000)) |
(fma.f64 -3147848041806007/2500000000000 (-.f64 1 z) (+.f64 6765203681218851/5000000000000 (*.f64 z -6765203681218851/10000000000000))) |
(fma.f64 (-.f64 1 z) -3147848041806007/2500000000000 (*.f64 (-.f64 2 z) 6765203681218851/10000000000000)) |
(fma.f64 -3147848041806007/2500000000000 (-.f64 1 z) (*.f64 (-.f64 2 z) 6765203681218851/10000000000000)) |
(fma.f64 -3147848041806007/2500000000000 (-.f64 1 z) (+.f64 6765203681218851/5000000000000 (*.f64 z -6765203681218851/10000000000000))) |
(fma.f64 (*.f64 -3147848041806007/2500000000000 (-.f64 1 z)) 1 (*.f64 (-.f64 2 z) 6765203681218851/10000000000000)) |
(fma.f64 -3147848041806007/2500000000000 (-.f64 1 z) (*.f64 (-.f64 2 z) 6765203681218851/10000000000000)) |
(fma.f64 -3147848041806007/2500000000000 (-.f64 1 z) (+.f64 6765203681218851/5000000000000 (*.f64 z -6765203681218851/10000000000000))) |
(fma.f64 (-.f64 2 z) 6765203681218851/10000000000000 (*.f64 -3147848041806007/2500000000000 (-.f64 1 z))) |
(fma.f64 -3147848041806007/2500000000000 (-.f64 1 z) (*.f64 (-.f64 2 z) 6765203681218851/10000000000000)) |
(fma.f64 -3147848041806007/2500000000000 (-.f64 1 z) (+.f64 6765203681218851/5000000000000 (*.f64 z -6765203681218851/10000000000000))) |
(fma.f64 6765203681218851/10000000000000 (-.f64 2 z) (*.f64 -3147848041806007/2500000000000 (-.f64 1 z))) |
(fma.f64 -3147848041806007/2500000000000 (-.f64 1 z) (*.f64 (-.f64 2 z) 6765203681218851/10000000000000)) |
(fma.f64 -3147848041806007/2500000000000 (-.f64 1 z) (+.f64 6765203681218851/5000000000000 (*.f64 z -6765203681218851/10000000000000))) |
(fma.f64 (*.f64 (-.f64 2 z) 6765203681218851/10000000000000) 1 (*.f64 -3147848041806007/2500000000000 (-.f64 1 z))) |
(fma.f64 -3147848041806007/2500000000000 (-.f64 1 z) (*.f64 (-.f64 2 z) 6765203681218851/10000000000000)) |
(fma.f64 -3147848041806007/2500000000000 (-.f64 1 z) (+.f64 6765203681218851/5000000000000 (*.f64 z -6765203681218851/10000000000000))) |
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 2 z)) 2) (*.f64 (cbrt.f64 (-.f64 2 z)) 6765203681218851/10000000000000) (*.f64 -3147848041806007/2500000000000 (-.f64 1 z))) |
(fma.f64 -3147848041806007/2500000000000 (-.f64 1 z) (*.f64 (-.f64 2 z) 6765203681218851/10000000000000)) |
(fma.f64 -3147848041806007/2500000000000 (-.f64 1 z) (+.f64 6765203681218851/5000000000000 (*.f64 z -6765203681218851/10000000000000))) |
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 1 z)) 2) (*.f64 (cbrt.f64 (-.f64 1 z)) -3147848041806007/2500000000000) (*.f64 (-.f64 2 z) 6765203681218851/10000000000000)) |
(fma.f64 -3147848041806007/2500000000000 (-.f64 1 z) (*.f64 (-.f64 2 z) 6765203681218851/10000000000000)) |
(fma.f64 -3147848041806007/2500000000000 (-.f64 1 z) (+.f64 6765203681218851/5000000000000 (*.f64 z -6765203681218851/10000000000000))) |
(fma.f64 (cbrt.f64 (*.f64 -3147848041806007/2500000000000 (-.f64 1 z))) (pow.f64 (cbrt.f64 (*.f64 -3147848041806007/2500000000000 (-.f64 1 z))) 2) (*.f64 (-.f64 2 z) 6765203681218851/10000000000000)) |
(fma.f64 -3147848041806007/2500000000000 (-.f64 1 z) (*.f64 (-.f64 2 z) 6765203681218851/10000000000000)) |
(fma.f64 -3147848041806007/2500000000000 (-.f64 1 z) (+.f64 6765203681218851/5000000000000 (*.f64 z -6765203681218851/10000000000000))) |
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 -3147848041806007/2500000000000 (-.f64 1 z))) 2) (cbrt.f64 (*.f64 -3147848041806007/2500000000000 (-.f64 1 z))) (*.f64 (-.f64 2 z) 6765203681218851/10000000000000)) |
(fma.f64 -3147848041806007/2500000000000 (-.f64 1 z) (*.f64 (-.f64 2 z) 6765203681218851/10000000000000)) |
(fma.f64 -3147848041806007/2500000000000 (-.f64 1 z) (+.f64 6765203681218851/5000000000000 (*.f64 z -6765203681218851/10000000000000))) |
(fma.f64 (cbrt.f64 (*.f64 (-.f64 2 z) 6765203681218851/10000000000000)) (pow.f64 (cbrt.f64 (*.f64 (-.f64 2 z) 6765203681218851/10000000000000)) 2) (*.f64 -3147848041806007/2500000000000 (-.f64 1 z))) |
(fma.f64 -3147848041806007/2500000000000 (-.f64 1 z) (*.f64 (-.f64 2 z) 6765203681218851/10000000000000)) |
(fma.f64 -3147848041806007/2500000000000 (-.f64 1 z) (+.f64 6765203681218851/5000000000000 (*.f64 z -6765203681218851/10000000000000))) |
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 2 z) 6765203681218851/10000000000000)) 2) (cbrt.f64 (*.f64 (-.f64 2 z) 6765203681218851/10000000000000)) (*.f64 -3147848041806007/2500000000000 (-.f64 1 z))) |
(fma.f64 -3147848041806007/2500000000000 (-.f64 1 z) (*.f64 (-.f64 2 z) 6765203681218851/10000000000000)) |
(fma.f64 -3147848041806007/2500000000000 (-.f64 1 z) (+.f64 6765203681218851/5000000000000 (*.f64 z -6765203681218851/10000000000000))) |
(fma.f64 (sqrt.f64 (-.f64 2 z)) (*.f64 (sqrt.f64 (-.f64 2 z)) 6765203681218851/10000000000000) (*.f64 -3147848041806007/2500000000000 (-.f64 1 z))) |
(fma.f64 -3147848041806007/2500000000000 (-.f64 1 z) (*.f64 (-.f64 2 z) 6765203681218851/10000000000000)) |
(fma.f64 -3147848041806007/2500000000000 (-.f64 1 z) (+.f64 6765203681218851/5000000000000 (*.f64 z -6765203681218851/10000000000000))) |
(fma.f64 (sqrt.f64 (-.f64 1 z)) (*.f64 (sqrt.f64 (-.f64 1 z)) -3147848041806007/2500000000000) (*.f64 (-.f64 2 z) 6765203681218851/10000000000000)) |
(fma.f64 -3147848041806007/2500000000000 (-.f64 1 z) (*.f64 (-.f64 2 z) 6765203681218851/10000000000000)) |
(fma.f64 -3147848041806007/2500000000000 (-.f64 1 z) (+.f64 6765203681218851/5000000000000 (*.f64 z -6765203681218851/10000000000000))) |
(fma.f64 (sqrt.f64 (*.f64 -3147848041806007/2500000000000 (-.f64 1 z))) (sqrt.f64 (*.f64 -3147848041806007/2500000000000 (-.f64 1 z))) (*.f64 (-.f64 2 z) 6765203681218851/10000000000000)) |
(fma.f64 -3147848041806007/2500000000000 (-.f64 1 z) (*.f64 (-.f64 2 z) 6765203681218851/10000000000000)) |
(fma.f64 -3147848041806007/2500000000000 (-.f64 1 z) (+.f64 6765203681218851/5000000000000 (*.f64 z -6765203681218851/10000000000000))) |
(fma.f64 (sqrt.f64 (*.f64 (-.f64 2 z) 6765203681218851/10000000000000)) (sqrt.f64 (*.f64 (-.f64 2 z) 6765203681218851/10000000000000)) (*.f64 -3147848041806007/2500000000000 (-.f64 1 z))) |
(fma.f64 -3147848041806007/2500000000000 (-.f64 1 z) (*.f64 (-.f64 2 z) 6765203681218851/10000000000000)) |
(fma.f64 -3147848041806007/2500000000000 (-.f64 1 z) (+.f64 6765203681218851/5000000000000 (*.f64 z -6765203681218851/10000000000000))) |
(fma.f64 (*.f64 -3147848041806007/2500000000000 (pow.f64 (cbrt.f64 (-.f64 1 z)) 2)) (cbrt.f64 (-.f64 1 z)) (*.f64 (-.f64 2 z) 6765203681218851/10000000000000)) |
(fma.f64 -3147848041806007/2500000000000 (-.f64 1 z) (*.f64 (-.f64 2 z) 6765203681218851/10000000000000)) |
(fma.f64 -3147848041806007/2500000000000 (-.f64 1 z) (+.f64 6765203681218851/5000000000000 (*.f64 z -6765203681218851/10000000000000))) |
(fma.f64 (*.f64 -3147848041806007/2500000000000 (sqrt.f64 (-.f64 1 z))) (sqrt.f64 (-.f64 1 z)) (*.f64 (-.f64 2 z) 6765203681218851/10000000000000)) |
(fma.f64 -3147848041806007/2500000000000 (-.f64 1 z) (*.f64 (-.f64 2 z) 6765203681218851/10000000000000)) |
(fma.f64 -3147848041806007/2500000000000 (-.f64 1 z) (+.f64 6765203681218851/5000000000000 (*.f64 z -6765203681218851/10000000000000))) |
(fma.f64 (*.f64 6765203681218851/10000000000000 (pow.f64 (cbrt.f64 (-.f64 2 z)) 2)) (cbrt.f64 (-.f64 2 z)) (*.f64 -3147848041806007/2500000000000 (-.f64 1 z))) |
(fma.f64 -3147848041806007/2500000000000 (-.f64 1 z) (*.f64 (-.f64 2 z) 6765203681218851/10000000000000)) |
(fma.f64 -3147848041806007/2500000000000 (-.f64 1 z) (+.f64 6765203681218851/5000000000000 (*.f64 z -6765203681218851/10000000000000))) |
(fma.f64 (*.f64 6765203681218851/10000000000000 (sqrt.f64 (-.f64 2 z))) (sqrt.f64 (-.f64 2 z)) (*.f64 -3147848041806007/2500000000000 (-.f64 1 z))) |
(fma.f64 -3147848041806007/2500000000000 (-.f64 1 z) (*.f64 (-.f64 2 z) 6765203681218851/10000000000000)) |
(fma.f64 -3147848041806007/2500000000000 (-.f64 1 z) (+.f64 6765203681218851/5000000000000 (*.f64 z -6765203681218851/10000000000000))) |
Compiled 96331 to 73493 computations (23.7% saved)
27 alts after pruning (25 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1176 | 17 | 1193 |
| Fresh | 7 | 8 | 15 |
| Picked | 0 | 1 | 1 |
| Done | 4 | 1 | 5 |
| Total | 1187 | 27 | 1214 |
| Status | Error | Program |
|---|---|---|
| 1.7b | (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2) (+.f64 (-.f64 (-.f64 1 z) 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 8))))) | |
| 2.7b | (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))) | |
| 62.6b | (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 (+.f64 (/.f64 6868447169803563/40000000000000 (*.f64 z z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -4919378858736341/200000000000000 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))) | |
| 1.0b | (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))) | |
| 1.1b | (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 (+.f64 7902188421553103227/30000000000000000 (*.f64 39321001939258358983/90000000000000000 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))) | |
| 2.2b | (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) 1106209385320415913103082059/4200000000000000000000000)) | |
| 1.7b | (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))) | |
| ▶ | 0.8b | (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2)))) (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (+.f64 371756020978964147/150000000000000000 (*.f64 z 446800080651085577/900000000000000000)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))))) |
| 2.6b | (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 646366562873259793/3000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2)))))) | |
| 2.0b | (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 469507597606837/10000000000000 (*.f64 904338909853211/2500000000000 z))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2)))))) | |
| ▶ | 0.6b | (*.f64 (*.f64 (cbrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (*.f64 2 (PI.f64)) 1/6)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2)))))) |
| 1.4b | (*.f64 (*.f64 (cbrt.f64 (*.f64 2 (PI.f64))) (sqrt.f64 (cbrt.f64 (*.f64 2 (PI.f64))))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 (+.f64 (-.f64 2 z) (*.f64 (-.f64 1 z) -12591392167224028/6765203681218851)) (*.f64 (-.f64 1 z) (*.f64 10000000000000/6765203681218851 (-.f64 2 z))))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2)))))) | |
| 50.2b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 (*.f64 6493665628732592227/30000000000000000 (*.f64 (PI.f64) (exp.f64 (+.f64 z -15/2)))) (sin.f64 (*.f64 z (PI.f64)))))) | |
| 1.9b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (+.f64 (*.f64 (exp.f64 -15/2) 441081074802767819940949738751/705600000000000000000000000) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z))))) | |
| 1.9b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (+.f64 (*.f64 255237898068937946539631952839/705600000000000000000000000 (exp.f64 -15/2)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z)))))) | |
| 0.8b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 (+.f64 (-.f64 2 z) (*.f64 (*.f64 (-.f64 1 z) 10000000000000/6765203681218851) -3147848041806007/2500000000000)) (*.f64 (*.f64 (-.f64 1 z) 10000000000000/6765203681218851) (-.f64 2 z)))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2)))))) | |
| 0.7b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 (+.f64 (-.f64 1 z) (*.f64 (-.f64 -5000000000000/3147848041806007 (/.f64 z -3147848041806007/2500000000000)) 6765203681218851/10000000000000)) (*.f64 (-.f64 -5000000000000/3147848041806007 (/.f64 z -3147848041806007/2500000000000)) (-.f64 1 z)))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2)))))) | |
| ✓ | 0.7b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 (+.f64 (*.f64 -3147848041806007/2500000000000 (-.f64 1 z)) (*.f64 (-.f64 2 z) 6765203681218851/10000000000000)) (*.f64 (-.f64 2 z) (-.f64 1 z)))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2)))))) |
| 1.2b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 (+.f64 (*.f64 -3147848041806007/2500000000000 (-.f64 1 z)) (*.f64 (-.f64 2 z) 6765203681218851/10000000000000)) (*.f64 (-.f64 2 z) (-.f64 1 z)))) (+.f64 (+.f64 646366562873259793/3000000000000000 (*.f64 z 6764801184542762983/90000000000000000)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2)))))) | |
| 0.7b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 (+.f64 469507597606837/5000000000000 (*.f64 5826188486005177/10000000000000 z)) (*.f64 (-.f64 2 z) (-.f64 1 z)))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2)))))) | |
| ✓ | 0.7b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2)))))) |
| ▶ | 1.2b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (+.f64 646366562873259793/3000000000000000 (*.f64 z 6764801184542762983/90000000000000000)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2)))))) |
| ▶ | 2.0b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) 904816194325545171523082059/4200000000000000000000000) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2)))))) |
| 1.3b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 469507597606837/10000000000000 (*.f64 904338909853211/2500000000000 z))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (-.f64 (*.f64 -105381455914863113/10000000000000000 z) 41652288634797769/1000000000000000)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2)))))) | |
| 1.3b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 469507597606837/10000000000000 (*.f64 904338909853211/2500000000000 z))) (+.f64 (+.f64 646366562873259793/3000000000000000 (*.f64 z 6764801184542762983/90000000000000000)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2)))))) | |
| 2.0b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 469507597606837/10000000000000) (+.f64 646366562873259793/3000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2)))))) | |
| ▶ | 2.0b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z)))) |
Compiled 3148 to 2572 computations (18.3% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 1.0b | (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) | |
| 1.0b | (cbrt.f64 (*.f64 2 (PI.f64))) | |
| ✓ | 1.0b | (pow.f64 (*.f64 2 (PI.f64)) 1/6) |
| 1.1b | (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) |
Compiled 528 to 404 computations (23.5% saved)
| 1× | batch-egg-rewrite |
| 542× | pow1_binary64 |
| 530× | add-sqr-sqrt_binary64 |
| 507× | add-log-exp_binary64 |
| 507× | log1p-expm1-u_binary64 |
| 507× | expm1-log1p-u_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 8 |
| 1 | 129 | 8 |
| 2 | 1417 | 8 |
| 1× | node limit |
| Inputs |
|---|
(pow.f64 (*.f64 2 (PI.f64)) 1/6) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (pow.f64 (*.f64 2 (PI.f64)) 1/6)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 2 (PI.f64)) 1/6) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (*.f64 2 (PI.f64)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 2 (PI.f64)) 1/6)) (cbrt.f64 (cbrt.f64 (*.f64 2 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (*.f64 2 (PI.f64)))) (cbrt.f64 (pow.f64 (*.f64 2 (PI.f64)) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 2 1/6) (pow.f64 (PI.f64) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (PI.f64) 1/6) (pow.f64 2 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 2 (PI.f64)) 1/12) (pow.f64 (*.f64 2 (PI.f64)) 1/12))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/6) (pow.f64 (*.f64 2 (PI.f64)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 2 (PI.f64))) 2) 1/6) (pow.f64 (cbrt.f64 (*.f64 2 (PI.f64))) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (*.f64 2 (PI.f64))) 1/6) (pow.f64 (sqrt.f64 (*.f64 2 (PI.f64))) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (cbrt.f64 (*.f64 2 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (*.f64 2 (PI.f64)) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (*.f64 2 (PI.f64)) 1/6) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (*.f64 2 (PI.f64)) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (*.f64 2 (PI.f64)) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 1/6 (log.f64 (*.f64 2 (PI.f64))))))))) |
| 1× | egg-herbie |
| 580× | associate-*l*_binary64 |
| 449× | associate-*r*_binary64 |
| 448× | exp-prod_binary64 |
| 414× | cube-prod_binary64 |
| 396× | fabs-mul_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 45 | 271 |
| 1 | 93 | 219 |
| 2 | 210 | 180 |
| 3 | 607 | 180 |
| 4 | 3004 | 180 |
| 5 | 5382 | 180 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (+.f64 1 (pow.f64 (*.f64 2 (PI.f64)) 1/6)) 1) |
(*.f64 (pow.f64 (*.f64 2 (PI.f64)) 1/6) 1) |
(*.f64 1 (pow.f64 (*.f64 2 (PI.f64)) 1/6)) |
(*.f64 (cbrt.f64 (pow.f64 (*.f64 2 (PI.f64)) 1/6)) (cbrt.f64 (cbrt.f64 (*.f64 2 (PI.f64))))) |
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 2 (PI.f64)))) (cbrt.f64 (pow.f64 (*.f64 2 (PI.f64)) 1/6))) |
(*.f64 (pow.f64 2 1/6) (pow.f64 (PI.f64) 1/6)) |
(*.f64 (pow.f64 (PI.f64) 1/6) (pow.f64 2 1/6)) |
(*.f64 (pow.f64 (*.f64 2 (PI.f64)) 1/12) (pow.f64 (*.f64 2 (PI.f64)) 1/12)) |
(*.f64 (pow.f64 1 1/6) (pow.f64 (*.f64 2 (PI.f64)) 1/6)) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 2 (PI.f64))) 2) 1/6) (pow.f64 (cbrt.f64 (*.f64 2 (PI.f64))) 1/6)) |
(*.f64 (pow.f64 (sqrt.f64 (*.f64 2 (PI.f64))) 1/6) (pow.f64 (sqrt.f64 (*.f64 2 (PI.f64))) 1/6)) |
(sqrt.f64 (cbrt.f64 (*.f64 2 (PI.f64)))) |
(log.f64 (exp.f64 (pow.f64 (*.f64 2 (PI.f64)) 1/6))) |
(cbrt.f64 (pow.f64 (pow.f64 (*.f64 2 (PI.f64)) 1/6) 3)) |
(expm1.f64 (log1p.f64 (pow.f64 (*.f64 2 (PI.f64)) 1/6))) |
(log1p.f64 (expm1.f64 (pow.f64 (*.f64 2 (PI.f64)) 1/6))) |
(exp.f64 (*.f64 1/6 (log.f64 (*.f64 2 (PI.f64))))) |
| Outputs |
|---|
(-.f64 (+.f64 1 (pow.f64 (*.f64 2 (PI.f64)) 1/6)) 1) |
(+.f64 (+.f64 1 (pow.f64 (*.f64 2 (PI.f64)) 1/6)) -1) |
(+.f64 (pow.f64 (*.f64 2 (PI.f64)) 1/6) 0) |
(pow.f64 (*.f64 2 (PI.f64)) 1/6) |
(*.f64 (pow.f64 (*.f64 2 (PI.f64)) 1/6) 1) |
(+.f64 (+.f64 1 (pow.f64 (*.f64 2 (PI.f64)) 1/6)) -1) |
(+.f64 (pow.f64 (*.f64 2 (PI.f64)) 1/6) 0) |
(pow.f64 (*.f64 2 (PI.f64)) 1/6) |
(*.f64 1 (pow.f64 (*.f64 2 (PI.f64)) 1/6)) |
(+.f64 (+.f64 1 (pow.f64 (*.f64 2 (PI.f64)) 1/6)) -1) |
(+.f64 (pow.f64 (*.f64 2 (PI.f64)) 1/6) 0) |
(pow.f64 (*.f64 2 (PI.f64)) 1/6) |
(*.f64 (cbrt.f64 (pow.f64 (*.f64 2 (PI.f64)) 1/6)) (cbrt.f64 (cbrt.f64 (*.f64 2 (PI.f64))))) |
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 2 (PI.f64)))) (cbrt.f64 (pow.f64 (*.f64 2 (PI.f64)) 1/6))) |
(*.f64 (cbrt.f64 (pow.f64 (*.f64 2 (PI.f64)) 1/6)) (cbrt.f64 (cbrt.f64 (*.f64 2 (PI.f64))))) |
(*.f64 (pow.f64 2 1/6) (pow.f64 (PI.f64) 1/6)) |
(+.f64 (+.f64 1 (pow.f64 (*.f64 2 (PI.f64)) 1/6)) -1) |
(+.f64 (pow.f64 (*.f64 2 (PI.f64)) 1/6) 0) |
(pow.f64 (*.f64 2 (PI.f64)) 1/6) |
(*.f64 (pow.f64 (PI.f64) 1/6) (pow.f64 2 1/6)) |
(+.f64 (+.f64 1 (pow.f64 (*.f64 2 (PI.f64)) 1/6)) -1) |
(+.f64 (pow.f64 (*.f64 2 (PI.f64)) 1/6) 0) |
(pow.f64 (*.f64 2 (PI.f64)) 1/6) |
(*.f64 (pow.f64 (*.f64 2 (PI.f64)) 1/12) (pow.f64 (*.f64 2 (PI.f64)) 1/12)) |
(+.f64 (+.f64 1 (pow.f64 (*.f64 2 (PI.f64)) 1/6)) -1) |
(+.f64 (pow.f64 (*.f64 2 (PI.f64)) 1/6) 0) |
(pow.f64 (*.f64 2 (PI.f64)) 1/6) |
(*.f64 (pow.f64 1 1/6) (pow.f64 (*.f64 2 (PI.f64)) 1/6)) |
(+.f64 (+.f64 1 (pow.f64 (*.f64 2 (PI.f64)) 1/6)) -1) |
(+.f64 (pow.f64 (*.f64 2 (PI.f64)) 1/6) 0) |
(pow.f64 (*.f64 2 (PI.f64)) 1/6) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 2 (PI.f64))) 2) 1/6) (pow.f64 (cbrt.f64 (*.f64 2 (PI.f64))) 1/6)) |
(*.f64 (pow.f64 (sqrt.f64 (*.f64 2 (PI.f64))) 1/6) (pow.f64 (sqrt.f64 (*.f64 2 (PI.f64))) 1/6)) |
(cbrt.f64 (sqrt.f64 (*.f64 2 (PI.f64)))) |
(sqrt.f64 (cbrt.f64 (*.f64 2 (PI.f64)))) |
(+.f64 (+.f64 1 (pow.f64 (*.f64 2 (PI.f64)) 1/6)) -1) |
(+.f64 (pow.f64 (*.f64 2 (PI.f64)) 1/6) 0) |
(pow.f64 (*.f64 2 (PI.f64)) 1/6) |
(log.f64 (exp.f64 (pow.f64 (*.f64 2 (PI.f64)) 1/6))) |
(+.f64 (+.f64 1 (pow.f64 (*.f64 2 (PI.f64)) 1/6)) -1) |
(+.f64 (pow.f64 (*.f64 2 (PI.f64)) 1/6) 0) |
(pow.f64 (*.f64 2 (PI.f64)) 1/6) |
(cbrt.f64 (pow.f64 (pow.f64 (*.f64 2 (PI.f64)) 1/6) 3)) |
(+.f64 (+.f64 1 (pow.f64 (*.f64 2 (PI.f64)) 1/6)) -1) |
(+.f64 (pow.f64 (*.f64 2 (PI.f64)) 1/6) 0) |
(pow.f64 (*.f64 2 (PI.f64)) 1/6) |
(expm1.f64 (log1p.f64 (pow.f64 (*.f64 2 (PI.f64)) 1/6))) |
(+.f64 (+.f64 1 (pow.f64 (*.f64 2 (PI.f64)) 1/6)) -1) |
(+.f64 (pow.f64 (*.f64 2 (PI.f64)) 1/6) 0) |
(pow.f64 (*.f64 2 (PI.f64)) 1/6) |
(log1p.f64 (expm1.f64 (pow.f64 (*.f64 2 (PI.f64)) 1/6))) |
(+.f64 (+.f64 1 (pow.f64 (*.f64 2 (PI.f64)) 1/6)) -1) |
(+.f64 (pow.f64 (*.f64 2 (PI.f64)) 1/6) 0) |
(pow.f64 (*.f64 2 (PI.f64)) 1/6) |
(exp.f64 (*.f64 1/6 (log.f64 (*.f64 2 (PI.f64))))) |
(+.f64 (+.f64 1 (pow.f64 (*.f64 2 (PI.f64)) 1/6)) -1) |
(+.f64 (pow.f64 (*.f64 2 (PI.f64)) 1/6) 0) |
(pow.f64 (*.f64 2 (PI.f64)) 1/6) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.5b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z)))) |
| ✓ | 0.5b | (/.f64 (exp.f64 -15/2) z) |
| ✓ | 0.7b | (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z)) |
| 1.0b | (sqrt.f64 (*.f64 (PI.f64) 2)) |
Compiled 73 to 57 computations (21.9% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | z | @ | inf | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z)))) |
| 1.0ms | z | @ | -inf | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z)))) |
| 1.0ms | z | @ | 0 | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z)))) |
| 1.0ms | z | @ | 0 | (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z)) |
| 1.0ms | z | @ | inf | (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z)) |
| 1× | batch-egg-rewrite |
| 922× | log-prod_binary64 |
| 340× | expm1-udef_binary64 |
| 340× | log1p-udef_binary64 |
| 278× | log-pow_binary64 |
| 196× | add-sqr-sqrt_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 18 | 45 |
| 1 | 397 | 45 |
| 2 | 4988 | 45 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z)) |
(/.f64 (exp.f64 -15/2) z) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z)))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 1106209385320415913103082059/4200000000000000000000000) (/.f64 (exp.f64 -15/2) z))) (cbrt.f64 (pow.f64 (exp.f64 1106209385320415913103082059/4200000000000000000000000) (/.f64 (exp.f64 -15/2) z))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 1106209385320415913103082059/4200000000000000000000000) (/.f64 (exp.f64 -15/2) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1106209385320415913103082059/4200000000000000000000000) (/.f64 (exp.f64 -15/2) z)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1106209385320415913103082059/4200000000000000000000000) (/.f64 (exp.f64 -15/2) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 z (exp.f64 -15/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 z (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) z)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2))) (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) 1) z)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (sqrt.f64 z)) (sqrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (exp.f64 -15/2)) 1106209385320415913103082059/4200000000000000000000000) (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (neg.f64 (exp.f64 -15/2))) (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (/.f64 (exp.f64 -15) (*.f64 z z)) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1106209385320415913103082059/4200000000000000000000000) (/.f64 (exp.f64 -15/2) z)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (-.f64 -15/2 (log.f64 z)) (log.f64 1106209385320415913103082059/4200000000000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (+.f64 (-.f64 -15/2 (log.f64 z)) (log.f64 1106209385320415913103082059/4200000000000000000000000)) 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (exp.f64 -15/2) z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (exp.f64 -15/2) z))) (cbrt.f64 (exp.f64 (/.f64 (exp.f64 -15/2) z))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (exp.f64 -15/2) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (exp.f64 -15/2) z)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (exp.f64 -15/2) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (exp.f64 -15/2) z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 -15/2) (/.f64 1 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (exp.f64 -15/2) z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (exp.f64 -15/2) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (exp.f64 -5/2) (cbrt.f64 z)) (pow.f64 (/.f64 (exp.f64 -5/2) (cbrt.f64 z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (exp.f64 -5/2) (cbrt.f64 z)) 2) (/.f64 (exp.f64 -5/2) (cbrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 -5) (*.f64 (exp.f64 -5/2) (/.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (exp.f64 -15/4) (sqrt.f64 z)) (/.f64 (exp.f64 -15/4) (sqrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 -15/4) (*.f64 (exp.f64 -15/4) (/.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (exp.f64 -15/2)) (/.f64 1 (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 z) (exp.f64 -15/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (exp.f64 -5) 1) (/.f64 (exp.f64 -5/2) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (exp.f64 -15/4) 1) (/.f64 (exp.f64 -15/4) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 z) 2)) (/.f64 (exp.f64 -15/2) (cbrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (exp.f64 -5) (pow.f64 (cbrt.f64 z) 2)) (/.f64 (exp.f64 -5/2) (cbrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (exp.f64 -15/4) (pow.f64 (cbrt.f64 z) 2)) (/.f64 (exp.f64 -15/4) (cbrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 z)) (/.f64 (exp.f64 -15/2) (sqrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (exp.f64 -5) (sqrt.f64 z)) (/.f64 (exp.f64 -5/2) (sqrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (exp.f64 -15/2) z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (exp.f64 -15/2) z) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (exp.f64 -5/2) (cbrt.f64 z)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (exp.f64 -15/4) (sqrt.f64 z)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 z (exp.f64 -15/2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (exp.f64 -15/2) (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (exp.f64 -15) (*.f64 z z)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (exp.f64 -15/2) z)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (exp.f64 -15/2) z))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (exp.f64 -15/2) z) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (exp.f64 -45/2) (pow.f64 z 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (exp.f64 -15/2) z)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (exp.f64 -15/2) z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 -15/2 (log.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 -15/2 (log.f64 z)) 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z)) (sqrt.f64 (*.f64 (PI.f64) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z)) (sqrt.f64 (*.f64 (PI.f64) 2)))))) (cbrt.f64 (exp.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z)) (sqrt.f64 (*.f64 (PI.f64) 2)))))))) (log.f64 (cbrt.f64 (exp.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z)) (sqrt.f64 (*.f64 (PI.f64) 2))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 (pow.f64 (-.f64 15/2 z) 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(#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z)) (sqrt.f64 (*.f64 (PI.f64) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z)) (sqrt.f64 (*.f64 (PI.f64) 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z)) (sqrt.f64 (*.f64 (PI.f64) 2)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 (PI.f64) 2) 3/2) (pow.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (exp.f64 -15/2) z) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (exp.f64 -15/2) z) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) 3) (pow.f64 (*.f64 (PI.f64) 2) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z)) (sqrt.f64 (*.f64 (PI.f64) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z)) (sqrt.f64 (*.f64 (PI.f64) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z)) (sqrt.f64 (*.f64 (PI.f64) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z)) (sqrt.f64 (*.f64 (PI.f64) 2))))) 1)))))) |
| 1× | egg-herbie |
| 972× | fma-def_binary64 |
| 700× | unswap-sqr_binary64 |
| 591× | associate-/l*_binary64 |
| 191× | associate-*r*_binary64 |
| 186× | cube-prod_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 275 | 1797 |
| 1 | 692 | 1716 |
| 2 | 2559 | 1598 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64)))) |
(+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) (sqrt.f64 (PI.f64)))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))) |
(+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (+.f64 29/225 (*.f64 1/2 (pow.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) 2))) (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) z)))) (sqrt.f64 (PI.f64)))) (+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) (sqrt.f64 (PI.f64)))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64)))))) |
(+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (+.f64 29/225 (*.f64 1/2 (pow.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) 2))) (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) z)))) (sqrt.f64 (PI.f64)))) (+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) (sqrt.f64 (PI.f64)))) (+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (*.f64 (pow.f64 z 2) (+.f64 (*.f64 29/225 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15)) (+.f64 86/10125 (*.f64 1/6 (pow.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) 3)))))))) (sqrt.f64 (PI.f64)))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))))) |
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) z) (sqrt.f64 (PI.f64)))) |
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) z) (sqrt.f64 (PI.f64)))) |
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) z) (sqrt.f64 (PI.f64)))) |
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) z) (sqrt.f64 (PI.f64)))) |
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2))))) z) (sqrt.f64 (PI.f64)))) |
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2))))) z) (sqrt.f64 (PI.f64)))) |
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2))))) z) (sqrt.f64 (PI.f64)))) |
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2))))) z) (sqrt.f64 (PI.f64)))) |
(+.f64 0 (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z))) |
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 1106209385320415913103082059/4200000000000000000000000) (/.f64 (exp.f64 -15/2) z))) (cbrt.f64 (pow.f64 (exp.f64 1106209385320415913103082059/4200000000000000000000000) (/.f64 (exp.f64 -15/2) z))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 1106209385320415913103082059/4200000000000000000000000) (/.f64 (exp.f64 -15/2) z))))) |
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1106209385320415913103082059/4200000000000000000000000) (/.f64 (exp.f64 -15/2) z)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1106209385320415913103082059/4200000000000000000000000) (/.f64 (exp.f64 -15/2) z))))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z)))) 1) |
(/.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 z (exp.f64 -15/2))) |
(/.f64 1 (/.f64 z (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)))) |
(/.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) z) |
(/.f64 (neg.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2))) (neg.f64 z)) |
(/.f64 (/.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) 1) z) |
(/.f64 (/.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z)) |
(/.f64 (/.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (sqrt.f64 z)) (sqrt.f64 z)) |
(/.f64 (*.f64 (neg.f64 (exp.f64 -15/2)) 1106209385320415913103082059/4200000000000000000000000) (neg.f64 z)) |
(/.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (neg.f64 (exp.f64 -15/2))) (neg.f64 z)) |
(pow.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z)) 1) |
(pow.f64 (pow.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z)) 3) 1/3) |
(pow.f64 (cbrt.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z))) 3) |
(pow.f64 (sqrt.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z))) 2) |
(sqrt.f64 (*.f64 (/.f64 (exp.f64 -15) (*.f64 z z)) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000)) |
(log.f64 (pow.f64 (exp.f64 1106209385320415913103082059/4200000000000000000000000) (/.f64 (exp.f64 -15/2) z))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z))))) |
(cbrt.f64 (pow.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z)) 3)) |
(expm1.f64 (log1p.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z)))) |
(log1p.f64 (expm1.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z)))) |
(exp.f64 (+.f64 (-.f64 -15/2 (log.f64 z)) (log.f64 1106209385320415913103082059/4200000000000000000000000))) |
(exp.f64 (*.f64 (+.f64 (-.f64 -15/2 (log.f64 z)) (log.f64 1106209385320415913103082059/4200000000000000000000000)) 1)) |
(+.f64 0 (/.f64 (exp.f64 -15/2) z)) |
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (exp.f64 -15/2) z))) (cbrt.f64 (exp.f64 (/.f64 (exp.f64 -15/2) z))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (exp.f64 -15/2) z))))) |
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (exp.f64 -15/2) z)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (exp.f64 -15/2) z))))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 (exp.f64 -15/2) z))) 1) |
(*.f64 (exp.f64 -15/2) (/.f64 1 z)) |
(*.f64 (/.f64 (exp.f64 -15/2) z) 1) |
(*.f64 1 (/.f64 (exp.f64 -15/2) z)) |
(*.f64 (/.f64 (exp.f64 -5/2) (cbrt.f64 z)) (pow.f64 (/.f64 (exp.f64 -5/2) (cbrt.f64 z)) 2)) |
(*.f64 (pow.f64 (/.f64 (exp.f64 -5/2) (cbrt.f64 z)) 2) (/.f64 (exp.f64 -5/2) (cbrt.f64 z))) |
(*.f64 (exp.f64 -5) (*.f64 (exp.f64 -5/2) (/.f64 1 z))) |
(*.f64 (/.f64 (exp.f64 -15/4) (sqrt.f64 z)) (/.f64 (exp.f64 -15/4) (sqrt.f64 z))) |
(*.f64 (exp.f64 -15/4) (*.f64 (exp.f64 -15/4) (/.f64 1 z))) |
(*.f64 (neg.f64 (exp.f64 -15/2)) (/.f64 1 (neg.f64 z))) |
(*.f64 (/.f64 1 z) (exp.f64 -15/2)) |
(*.f64 (/.f64 (exp.f64 -5) 1) (/.f64 (exp.f64 -5/2) z)) |
(*.f64 (/.f64 (exp.f64 -15/4) 1) (/.f64 (exp.f64 -15/4) z)) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 z) 2)) (/.f64 (exp.f64 -15/2) (cbrt.f64 z))) |
(*.f64 (/.f64 (exp.f64 -5) (pow.f64 (cbrt.f64 z) 2)) (/.f64 (exp.f64 -5/2) (cbrt.f64 z))) |
(*.f64 (/.f64 (exp.f64 -15/4) (pow.f64 (cbrt.f64 z) 2)) (/.f64 (exp.f64 -15/4) (cbrt.f64 z))) |
(*.f64 (/.f64 1 (sqrt.f64 z)) (/.f64 (exp.f64 -15/2) (sqrt.f64 z))) |
(*.f64 (/.f64 (exp.f64 -5) (sqrt.f64 z)) (/.f64 (exp.f64 -5/2) (sqrt.f64 z))) |
(pow.f64 (/.f64 (exp.f64 -15/2) z) 1) |
(pow.f64 (pow.f64 (/.f64 (exp.f64 -15/2) z) 3) 1/3) |
(pow.f64 (/.f64 (exp.f64 -5/2) (cbrt.f64 z)) 3) |
(pow.f64 (/.f64 (exp.f64 -15/4) (sqrt.f64 z)) 2) |
(pow.f64 (/.f64 z (exp.f64 -15/2)) -1) |
(neg.f64 (/.f64 (exp.f64 -15/2) (neg.f64 z))) |
(sqrt.f64 (/.f64 (exp.f64 -15) (*.f64 z z))) |
(log.f64 (exp.f64 (/.f64 (exp.f64 -15/2) z))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (exp.f64 -15/2) z)))) |
(cbrt.f64 (pow.f64 (/.f64 (exp.f64 -15/2) z) 3)) |
(cbrt.f64 (/.f64 (exp.f64 -45/2) (pow.f64 z 3))) |
(expm1.f64 (log1p.f64 (/.f64 (exp.f64 -15/2) z))) |
(log1p.f64 (expm1.f64 (/.f64 (exp.f64 -15/2) z))) |
(exp.f64 (-.f64 -15/2 (log.f64 z))) |
(exp.f64 (*.f64 (-.f64 -15/2 (log.f64 z)) 1)) |
(+.f64 0 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z)) (sqrt.f64 (*.f64 (PI.f64) 2))))) |
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z)) (sqrt.f64 (*.f64 (PI.f64) 2)))))) (cbrt.f64 (exp.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z)) (sqrt.f64 (*.f64 (PI.f64) 2)))))))) (log.f64 (cbrt.f64 (exp.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z)) (sqrt.f64 (*.f64 (PI.f64) 2)))))))) |
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z)) (sqrt.f64 (*.f64 (PI.f64) 2))))))) (log.f64 (sqrt.f64 (exp.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z)) (sqrt.f64 (*.f64 (PI.f64) 2)))))))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z)) (sqrt.f64 (*.f64 (PI.f64) 2)))))) 1) |
(/.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2))) z) |
(pow.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z)) (sqrt.f64 (*.f64 (PI.f64) 2)))) 1) |
(pow.f64 (pow.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z)) (sqrt.f64 (*.f64 (PI.f64) 2)))) 3) 1/3) |
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z)) (sqrt.f64 (*.f64 (PI.f64) 2))))) 3) |
(pow.f64 (sqrt.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z)) (sqrt.f64 (*.f64 (PI.f64) 2))))) 2) |
(sqrt.f64 (*.f64 (*.f64 (PI.f64) 2) (pow.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (exp.f64 -15/2) z) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) 2))) |
(log.f64 (exp.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z)) (sqrt.f64 (*.f64 (PI.f64) 2)))))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z)) (sqrt.f64 (*.f64 (PI.f64) 2))))))) |
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z)) (sqrt.f64 (*.f64 (PI.f64) 2)))) 3)) |
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (PI.f64) 2) 3/2) (pow.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (exp.f64 -15/2) z) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) 3))) |
(cbrt.f64 (*.f64 (pow.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (exp.f64 -15/2) z) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) 3) (pow.f64 (*.f64 (PI.f64) 2) 3/2))) |
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z)) (sqrt.f64 (*.f64 (PI.f64) 2)))))) |
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z)) (sqrt.f64 (*.f64 (PI.f64) 2)))))) |
(exp.f64 (log.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z)) (sqrt.f64 (*.f64 (PI.f64) 2)))))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z)) (sqrt.f64 (*.f64 (PI.f64) 2))))) 1)) |
| Outputs |
|---|
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64)))) |
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (sqrt.f64 2) (/.f64 z (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) (sqrt.f64 (PI.f64)))) |
(*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (/.f64 z (sqrt.f64 (PI.f64))))) |
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(pow.f64 (cbrt.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z)) (sqrt.f64 (*.f64 (PI.f64) 2))))) 3) |
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z)) (sqrt.f64 (*.f64 2 (PI.f64))))) |
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (/.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) z) (sqrt.f64 (*.f64 2 (PI.f64))))) |
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) (/.f64 z (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))) |
(pow.f64 (sqrt.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z)) (sqrt.f64 (*.f64 (PI.f64) 2))))) 2) |
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z)) (sqrt.f64 (*.f64 2 (PI.f64))))) |
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (/.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) z) (sqrt.f64 (*.f64 2 (PI.f64))))) |
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) (/.f64 z (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))) |
(sqrt.f64 (*.f64 (*.f64 (PI.f64) 2) (pow.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (exp.f64 -15/2) z) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) 2))) |
(sqrt.f64 (*.f64 (*.f64 2 (PI.f64)) (pow.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 (exp.f64 -15/2) z))) 2))) |
(sqrt.f64 (*.f64 (*.f64 2 (PI.f64)) (pow.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) (/.f64 z (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))) 2))) |
(log.f64 (exp.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z)) (sqrt.f64 (*.f64 (PI.f64) 2)))))) |
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z)) (sqrt.f64 (*.f64 2 (PI.f64))))) |
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (/.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) z) (sqrt.f64 (*.f64 2 (PI.f64))))) |
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) (/.f64 z (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z)) (sqrt.f64 (*.f64 (PI.f64) 2))))))) |
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z)) (sqrt.f64 (*.f64 2 (PI.f64))))) |
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (/.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) z) (sqrt.f64 (*.f64 2 (PI.f64))))) |
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) (/.f64 z (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))) |
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z)) (sqrt.f64 (*.f64 (PI.f64) 2)))) 3)) |
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z)) (sqrt.f64 (*.f64 2 (PI.f64))))) |
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (/.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) z) (sqrt.f64 (*.f64 2 (PI.f64))))) |
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) (/.f64 z (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))) |
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (PI.f64) 2) 3/2) (pow.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (exp.f64 -15/2) z) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) 3))) |
(cbrt.f64 (*.f64 (pow.f64 (*.f64 2 (PI.f64)) 3/2) (pow.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 (exp.f64 -15/2) z))) 3))) |
(cbrt.f64 (*.f64 (pow.f64 (*.f64 2 (PI.f64)) 3/2) (*.f64 1353667544463053517362301055662189939940116838557164185039425992840995977633531379/74088000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 (/.f64 (exp.f64 -15/2) (/.f64 z (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) 3)))) |
(cbrt.f64 (*.f64 (pow.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (exp.f64 -15/2) z) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) 3) (pow.f64 (*.f64 (PI.f64) 2) 3/2))) |
(cbrt.f64 (*.f64 (pow.f64 (*.f64 2 (PI.f64)) 3/2) (pow.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 (exp.f64 -15/2) z))) 3))) |
(cbrt.f64 (*.f64 (pow.f64 (*.f64 2 (PI.f64)) 3/2) (*.f64 1353667544463053517362301055662189939940116838557164185039425992840995977633531379/74088000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 (/.f64 (exp.f64 -15/2) (/.f64 z (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) 3)))) |
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z)) (sqrt.f64 (*.f64 (PI.f64) 2)))))) |
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z)) (sqrt.f64 (*.f64 2 (PI.f64))))) |
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (/.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) z) (sqrt.f64 (*.f64 2 (PI.f64))))) |
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) (/.f64 z (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))) |
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z)) (sqrt.f64 (*.f64 (PI.f64) 2)))))) |
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z)) (sqrt.f64 (*.f64 2 (PI.f64))))) |
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (/.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) z) (sqrt.f64 (*.f64 2 (PI.f64))))) |
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) (/.f64 z (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))) |
(exp.f64 (log.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z)) (sqrt.f64 (*.f64 (PI.f64) 2)))))) |
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z)) (sqrt.f64 (*.f64 2 (PI.f64))))) |
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (/.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) z) (sqrt.f64 (*.f64 2 (PI.f64))))) |
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) (/.f64 z (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z)) (sqrt.f64 (*.f64 (PI.f64) 2))))) 1)) |
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z)) (sqrt.f64 (*.f64 2 (PI.f64))))) |
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (/.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) z) (sqrt.f64 (*.f64 2 (PI.f64))))) |
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) (/.f64 z (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.5b | (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))) |
| ✓ | 0.7b | (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) 904816194325545171523082059/4200000000000000000000000) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2)))) |
| 1.0b | (sqrt.f64 (*.f64 (PI.f64) 2)) | |
| 1.1b | (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) |
Compiled 220 to 152 computations (30.9% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | z | @ | 0 | (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) 904816194325545171523082059/4200000000000000000000000) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2)))) |
| 1.0ms | z | @ | -inf | (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) 904816194325545171523082059/4200000000000000000000000) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2)))) |
| 1.0ms | z | @ | inf | (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) 904816194325545171523082059/4200000000000000000000000) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2)))) |
| 1.0ms | z | @ | inf | (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))) |
| 1.0ms | z | @ | -inf | (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))) |
| 1× | batch-egg-rewrite |
| 288× | add-sqr-sqrt_binary64 |
| 272× | *-un-lft-identity_binary64 |
| 272× | add-log-exp_binary64 |
| 272× | pow1_binary64 |
| 271× | add-cbrt-cube_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 24 | 62 |
| 1 | 565 | 59 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) 904816194325545171523082059/4200000000000000000000000) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2)))) |
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 9999999999998099/10000000000000000 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (exp.f64 (+.f64 z -15/2)))) (*.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) 904816194325545171523082059/4200000000000000000000000)) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (exp.f64 (+.f64 z -15/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (exp.f64 (+.f64 z -15/2)))) (*.f64 904816194325545171523082059/4200000000000000000000000 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (exp.f64 (+.f64 z -15/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 904816194325545171523082059/4200000000000000000000000 (*.f64 (/.f64 (PI.f64) 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((x /.f64 (*.f64 (+.f64 740766092391217101011289787789206588278794973629555817832593212700337417693531379/74088000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) 3)) (*.f64 (PI.f64) (exp.f64 (+.f64 z -15/2)))) (*.f64 (+.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) 2) (-.f64 818692345513762722251164242250119809961989018447679481/17640000000000000000000000000000000000000000000000 (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) 904816194325545171523082059/4200000000000000000000000))) (sin.f64 (*.f64 z (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 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| 1× | egg-herbie |
| 601× | associate-/l/_binary64 |
| 442× | unswap-sqr_binary64 |
| 273× | associate-*r*_binary64 |
| 266× | associate-*l*_binary64 |
| 195× | distribute-rgt-out_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 268 | 3050 |
| 1 | 834 | 2950 |
| 2 | 4105 | 2766 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z)) |
(+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (+.f64 (*.f64 904338909853211/2500000000000 (exp.f64 -15/2)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z)))) |
(+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (+.f64 (*.f64 (-.f64 (+.f64 (*.f64 2076511864126339/4000000000000 (exp.f64 -15/2)) (+.f64 (*.f64 1106209385320415913103082059/8400000000000000000000000 (exp.f64 -15/2)) (*.f64 904338909853211/2500000000000 (exp.f64 -15/2)))) (*.f64 -1106209385320415913103082059/25200000000000000000000000 (*.f64 (exp.f64 -15/2) (pow.f64 (PI.f64) 2)))) z) (+.f64 (*.f64 904338909853211/2500000000000 (exp.f64 -15/2)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z))))) |
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(*.f64 909016194325544373103082059/4200000000000000000000000 (/.f64 (*.f64 (exp.f64 (-.f64 z 15/2)) (PI.f64)) (sin.f64 (*.f64 z (PI.f64))))) |
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(/.f64 (*.f64 (neg.f64 (PI.f64)) (exp.f64 (+.f64 z -15/2))) (neg.f64 (sin.f64 (*.f64 z (PI.f64))))) |
(/.f64 (*.f64 (exp.f64 (+.f64 z -15/2)) (neg.f64 (PI.f64))) (neg.f64 (sin.f64 (*.f64 z (PI.f64))))) |
(pow.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (exp.f64 (+.f64 z -15/2))) 1) |
(pow.f64 (pow.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (exp.f64 (+.f64 z -15/2))) 3) 1/3) |
(pow.f64 (cbrt.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (exp.f64 (+.f64 z -15/2)))) 3) |
(pow.f64 (sqrt.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (exp.f64 (+.f64 z -15/2)))) 2) |
(sqrt.f64 (pow.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (exp.f64 (+.f64 z -15/2))) 2)) |
(log.f64 (pow.f64 (exp.f64 (exp.f64 (+.f64 z -15/2))) (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (exp.f64 (+.f64 z -15/2)))))) |
(cbrt.f64 (pow.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (exp.f64 (+.f64 z -15/2))) 3)) |
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) 3) (pow.f64 (exp.f64 (+.f64 z -15/2)) 3))) |
(cbrt.f64 (*.f64 (pow.f64 (exp.f64 (+.f64 z -15/2)) 3) (pow.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) 3))) |
(expm1.f64 (log1p.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (exp.f64 (+.f64 z -15/2))))) |
(log1p.f64 (expm1.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (exp.f64 (+.f64 z -15/2))))) |
(exp.f64 (+.f64 (+.f64 z -15/2) (log.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))))) |
(exp.f64 (*.f64 (+.f64 (+.f64 z -15/2) (log.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))))) 1)) |
| Outputs |
|---|
(*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z)) |
(+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (+.f64 (*.f64 904338909853211/2500000000000 (exp.f64 -15/2)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z)))) |
(+.f64 (*.f64 (exp.f64 -15/2) 2625498753873810393103082059/4200000000000000000000000) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z))) |
(fma.f64 (exp.f64 -15/2) 2625498753873810393103082059/4200000000000000000000000 (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z))) |
(+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (+.f64 (*.f64 (-.f64 (+.f64 (*.f64 2076511864126339/4000000000000 (exp.f64 -15/2)) (+.f64 (*.f64 1106209385320415913103082059/8400000000000000000000000 (exp.f64 -15/2)) (*.f64 904338909853211/2500000000000 (exp.f64 -15/2)))) (*.f64 -1106209385320415913103082059/25200000000000000000000000 (*.f64 (exp.f64 -15/2) (pow.f64 (PI.f64) 2)))) z) (+.f64 (*.f64 904338909853211/2500000000000 (exp.f64 -15/2)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z))))) |
(fma.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2) (fma.f64 (+.f64 (fma.f64 2076511864126339/4000000000000 (exp.f64 -15/2) (*.f64 (exp.f64 -15/2) 4144788122427204873103082059/8400000000000000000000000)) (*.f64 1106209385320415913103082059/25200000000000000000000000 (*.f64 (exp.f64 -15/2) (pow.f64 (PI.f64) 2)))) z (fma.f64 904338909853211/2500000000000 (exp.f64 -15/2) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z))))) |
(+.f64 (fma.f64 (exp.f64 -15/2) 2625498753873810393103082059/4200000000000000000000000 (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z))) (*.f64 z (-.f64 (*.f64 (exp.f64 -15/2) 8505463037092516773103082059/8400000000000000000000000) (*.f64 -1106209385320415913103082059/25200000000000000000000000 (*.f64 (exp.f64 -15/2) (pow.f64 (PI.f64) 2)))))) |
(+.f64 (fma.f64 (exp.f64 -15/2) 2625498753873810393103082059/4200000000000000000000000 (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z))) (*.f64 z (*.f64 (exp.f64 -15/2) (-.f64 8505463037092516773103082059/8400000000000000000000000 (*.f64 (pow.f64 (PI.f64) 2) -1106209385320415913103082059/25200000000000000000000000))))) |
(+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (+.f64 (*.f64 (-.f64 (+.f64 (*.f64 2076511864126339/4000000000000 (exp.f64 -15/2)) (+.f64 (*.f64 1106209385320415913103082059/8400000000000000000000000 (exp.f64 -15/2)) (*.f64 904338909853211/2500000000000 (exp.f64 -15/2)))) (*.f64 -1106209385320415913103082059/25200000000000000000000000 (*.f64 (exp.f64 -15/2) (pow.f64 (PI.f64) 2)))) z) (+.f64 (*.f64 904338909853211/2500000000000 (exp.f64 -15/2)) (+.f64 (*.f64 (-.f64 (+.f64 (*.f64 1106209385320415913103082059/25200000000000000000000000 (exp.f64 -15/2)) (+.f64 (*.f64 2076511864126339/4000000000000 (exp.f64 -15/2)) (+.f64 (*.f64 904338909853211/5000000000000 (exp.f64 -15/2)) (*.f64 23912966683069397/40000000000000 (exp.f64 -15/2))))) (*.f64 -1/6 (*.f64 (+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (*.f64 904338909853211/2500000000000 (exp.f64 -15/2))) (pow.f64 (PI.f64) 2)))) (pow.f64 z 2)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z)))))) |
(fma.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2) (fma.f64 (+.f64 (fma.f64 2076511864126339/4000000000000 (exp.f64 -15/2) (*.f64 (exp.f64 -15/2) 4144788122427204873103082059/8400000000000000000000000)) (*.f64 1106209385320415913103082059/25200000000000000000000000 (*.f64 (exp.f64 -15/2) (pow.f64 (PI.f64) 2)))) z (fma.f64 904338909853211/2500000000000 (exp.f64 -15/2) (fma.f64 (+.f64 (fma.f64 1106209385320415913103082059/25200000000000000000000000 (exp.f64 -15/2) (fma.f64 2076511864126339/4000000000000 (exp.f64 -15/2) (*.f64 (exp.f64 -15/2) 6229535592379017/8000000000000))) (*.f64 1/6 (*.f64 (pow.f64 (PI.f64) 2) (*.f64 (exp.f64 -15/2) 2625498753873810393103082059/4200000000000000000000000)))) (*.f64 z z) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z)))))) |
(fma.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2) (fma.f64 z (-.f64 (*.f64 (exp.f64 -15/2) 8505463037092516773103082059/8400000000000000000000000) (*.f64 -1106209385320415913103082059/25200000000000000000000000 (*.f64 (exp.f64 -15/2) (pow.f64 (PI.f64) 2)))) (fma.f64 (exp.f64 -15/2) 904338909853211/2500000000000 (fma.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z) (*.f64 z (*.f64 z (+.f64 (fma.f64 (exp.f64 -15/2) 1106209385320415913103082059/25200000000000000000000000 (*.f64 (exp.f64 -15/2) 2076511864126339/1600000000000)) (*.f64 (*.f64 (exp.f64 -15/2) (*.f64 2625498753873810393103082059/4200000000000000000000000 (pow.f64 (PI.f64) 2))) 1/6)))))))) |
(fma.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2) (fma.f64 z (*.f64 (exp.f64 -15/2) (-.f64 8505463037092516773103082059/8400000000000000000000000 (*.f64 (pow.f64 (PI.f64) 2) -1106209385320415913103082059/25200000000000000000000000))) (fma.f64 (exp.f64 -15/2) 904338909853211/2500000000000 (fma.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z) (*.f64 z (*.f64 z (+.f64 (*.f64 (exp.f64 -15/2) 33811271245310255163103082059/25200000000000000000000000) (*.f64 (pow.f64 (PI.f64) 2) (*.f64 (*.f64 (exp.f64 -15/2) 2625498753873810393103082059/4200000000000000000000000) 1/6))))))))) |
(*.f64 909016194325544373103082059/4200000000000000000000000 (/.f64 (*.f64 (exp.f64 (-.f64 z 15/2)) (PI.f64)) (sin.f64 (*.f64 z (PI.f64))))) |
(*.f64 909016194325544373103082059/4200000000000000000000000 (/.f64 (*.f64 (PI.f64) (exp.f64 (-.f64 z 15/2))) (sin.f64 (*.f64 z (PI.f64))))) |
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (*.f64 (exp.f64 (+.f64 -15/2 z)) 909016194325544373103082059/4200000000000000000000000)) |
(*.f64 909016194325544373103082059/4200000000000000000000000 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (exp.f64 (+.f64 -15/2 z)))) |
(+.f64 (*.f64 5826188486005177/10000000000000 (/.f64 (*.f64 (exp.f64 (-.f64 z 15/2)) (PI.f64)) (*.f64 (sin.f64 (*.f64 z (PI.f64))) z))) (*.f64 909016194325544373103082059/4200000000000000000000000 (/.f64 (*.f64 (exp.f64 (-.f64 z 15/2)) (PI.f64)) (sin.f64 (*.f64 z (PI.f64)))))) |
(fma.f64 5826188486005177/10000000000000 (*.f64 (/.f64 (exp.f64 (-.f64 z 15/2)) (sin.f64 (*.f64 z (PI.f64)))) (/.f64 (PI.f64) z)) (*.f64 909016194325544373103082059/4200000000000000000000000 (/.f64 (*.f64 (PI.f64) (exp.f64 (-.f64 z 15/2))) (sin.f64 (*.f64 z (PI.f64)))))) |
(fma.f64 909016194325544373103082059/4200000000000000000000000 (*.f64 (PI.f64) (/.f64 (exp.f64 (+.f64 -15/2 z)) (sin.f64 (*.f64 z (PI.f64))))) (*.f64 5826188486005177/10000000000000 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (/.f64 (exp.f64 (+.f64 -15/2 z)) z)))) |
(*.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (exp.f64 (+.f64 -15/2 z))) (+.f64 909016194325544373103082059/4200000000000000000000000 (/.f64 5826188486005177/10000000000000 z))) |
(+.f64 (*.f64 5826188486005177/10000000000000 (/.f64 (*.f64 (exp.f64 (-.f64 z 15/2)) (PI.f64)) (*.f64 (sin.f64 (*.f64 z (PI.f64))) z))) (+.f64 (*.f64 3683516130645841/2000000000000 (/.f64 (*.f64 (exp.f64 (-.f64 z 15/2)) (PI.f64)) (*.f64 (sin.f64 (*.f64 z (PI.f64))) (pow.f64 z 2)))) (*.f64 909016194325544373103082059/4200000000000000000000000 (/.f64 (*.f64 (exp.f64 (-.f64 z 15/2)) (PI.f64)) (sin.f64 (*.f64 z (PI.f64))))))) |
(fma.f64 5826188486005177/10000000000000 (*.f64 (/.f64 (exp.f64 (-.f64 z 15/2)) (sin.f64 (*.f64 z (PI.f64)))) (/.f64 (PI.f64) z)) (fma.f64 3683516130645841/2000000000000 (*.f64 (/.f64 (exp.f64 (-.f64 z 15/2)) (sin.f64 (*.f64 z (PI.f64)))) (/.f64 (PI.f64) (*.f64 z z))) (*.f64 909016194325544373103082059/4200000000000000000000000 (/.f64 (*.f64 (PI.f64) (exp.f64 (-.f64 z 15/2))) (sin.f64 (*.f64 z (PI.f64))))))) |
(fma.f64 5826188486005177/10000000000000 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (/.f64 (exp.f64 (+.f64 -15/2 z)) z)) (fma.f64 3683516130645841/2000000000000 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (/.f64 (exp.f64 (+.f64 -15/2 z)) (*.f64 z z))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (*.f64 (exp.f64 (+.f64 -15/2 z)) 909016194325544373103082059/4200000000000000000000000)))) |
(fma.f64 3683516130645841/2000000000000 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (/.f64 (exp.f64 (+.f64 -15/2 z)) (*.f64 z z))) (*.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (exp.f64 (+.f64 -15/2 z))) (+.f64 909016194325544373103082059/4200000000000000000000000 (/.f64 5826188486005177/10000000000000 z)))) |
(+.f64 (*.f64 5826188486005177/10000000000000 (/.f64 (*.f64 (exp.f64 (-.f64 z 15/2)) (PI.f64)) (*.f64 (sin.f64 (*.f64 z (PI.f64))) z))) (+.f64 (*.f64 43600364987677261/10000000000000 (/.f64 (*.f64 (exp.f64 (-.f64 z 15/2)) (PI.f64)) (*.f64 (sin.f64 (*.f64 z (PI.f64))) (pow.f64 z 3)))) (+.f64 (*.f64 3683516130645841/2000000000000 (/.f64 (*.f64 (exp.f64 (-.f64 z 15/2)) (PI.f64)) (*.f64 (sin.f64 (*.f64 z (PI.f64))) (pow.f64 z 2)))) (*.f64 909016194325544373103082059/4200000000000000000000000 (/.f64 (*.f64 (exp.f64 (-.f64 z 15/2)) (PI.f64)) (sin.f64 (*.f64 z (PI.f64)))))))) |
(fma.f64 5826188486005177/10000000000000 (*.f64 (/.f64 (exp.f64 (-.f64 z 15/2)) (sin.f64 (*.f64 z (PI.f64)))) (/.f64 (PI.f64) z)) (fma.f64 43600364987677261/10000000000000 (*.f64 (/.f64 (exp.f64 (-.f64 z 15/2)) (sin.f64 (*.f64 z (PI.f64)))) (/.f64 (PI.f64) (pow.f64 z 3))) (fma.f64 3683516130645841/2000000000000 (*.f64 (/.f64 (exp.f64 (-.f64 z 15/2)) (sin.f64 (*.f64 z (PI.f64)))) (/.f64 (PI.f64) (*.f64 z z))) (*.f64 909016194325544373103082059/4200000000000000000000000 (/.f64 (*.f64 (PI.f64) (exp.f64 (-.f64 z 15/2))) (sin.f64 (*.f64 z (PI.f64)))))))) |
(fma.f64 5826188486005177/10000000000000 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (/.f64 (exp.f64 (+.f64 -15/2 z)) z)) (fma.f64 43600364987677261/10000000000000 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (/.f64 (exp.f64 (+.f64 -15/2 z)) (pow.f64 z 3))) (fma.f64 3683516130645841/2000000000000 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (/.f64 (exp.f64 (+.f64 -15/2 z)) (*.f64 z z))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (*.f64 (exp.f64 (+.f64 -15/2 z)) 909016194325544373103082059/4200000000000000000000000))))) |
(+.f64 (*.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (exp.f64 (+.f64 -15/2 z))) (+.f64 909016194325544373103082059/4200000000000000000000000 (/.f64 5826188486005177/10000000000000 z))) (*.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (exp.f64 (+.f64 -15/2 z))) (+.f64 (/.f64 3683516130645841/2000000000000 (*.f64 z z)) (/.f64 43600364987677261/10000000000000 (pow.f64 z 3))))) |
(*.f64 909016194325544373103082059/4200000000000000000000000 (/.f64 (*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))) (PI.f64)) (sin.f64 (*.f64 z (PI.f64))))) |
(*.f64 909016194325544373103082059/4200000000000000000000000 (/.f64 (*.f64 (PI.f64) (exp.f64 (-.f64 z 15/2))) (sin.f64 (*.f64 z (PI.f64))))) |
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (*.f64 (exp.f64 (+.f64 -15/2 z)) 909016194325544373103082059/4200000000000000000000000)) |
(*.f64 909016194325544373103082059/4200000000000000000000000 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (exp.f64 (+.f64 -15/2 z)))) |
(+.f64 (*.f64 5826188486005177/10000000000000 (/.f64 (*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))) (PI.f64)) (*.f64 (sin.f64 (*.f64 z (PI.f64))) z))) (*.f64 909016194325544373103082059/4200000000000000000000000 (/.f64 (*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))) (PI.f64)) (sin.f64 (*.f64 z (PI.f64)))))) |
(fma.f64 5826188486005177/10000000000000 (*.f64 (/.f64 (exp.f64 (-.f64 z 15/2)) (sin.f64 (*.f64 z (PI.f64)))) (/.f64 (PI.f64) z)) (*.f64 909016194325544373103082059/4200000000000000000000000 (/.f64 (*.f64 (PI.f64) (exp.f64 (-.f64 z 15/2))) (sin.f64 (*.f64 z (PI.f64)))))) |
(fma.f64 909016194325544373103082059/4200000000000000000000000 (*.f64 (PI.f64) (/.f64 (exp.f64 (+.f64 -15/2 z)) (sin.f64 (*.f64 z (PI.f64))))) (*.f64 5826188486005177/10000000000000 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (/.f64 (exp.f64 (+.f64 -15/2 z)) z)))) |
(*.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (exp.f64 (+.f64 -15/2 z))) (+.f64 909016194325544373103082059/4200000000000000000000000 (/.f64 5826188486005177/10000000000000 z))) |
(+.f64 (*.f64 3683516130645841/2000000000000 (/.f64 (*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))) (PI.f64)) (*.f64 (sin.f64 (*.f64 z (PI.f64))) (pow.f64 z 2)))) (+.f64 (*.f64 5826188486005177/10000000000000 (/.f64 (*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))) (PI.f64)) (*.f64 (sin.f64 (*.f64 z (PI.f64))) z))) (*.f64 909016194325544373103082059/4200000000000000000000000 (/.f64 (*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))) (PI.f64)) (sin.f64 (*.f64 z (PI.f64))))))) |
(fma.f64 5826188486005177/10000000000000 (*.f64 (/.f64 (exp.f64 (-.f64 z 15/2)) (sin.f64 (*.f64 z (PI.f64)))) (/.f64 (PI.f64) z)) (fma.f64 3683516130645841/2000000000000 (*.f64 (/.f64 (exp.f64 (-.f64 z 15/2)) (sin.f64 (*.f64 z (PI.f64)))) (/.f64 (PI.f64) (*.f64 z z))) (*.f64 909016194325544373103082059/4200000000000000000000000 (/.f64 (*.f64 (PI.f64) (exp.f64 (-.f64 z 15/2))) (sin.f64 (*.f64 z (PI.f64))))))) |
(fma.f64 5826188486005177/10000000000000 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (/.f64 (exp.f64 (+.f64 -15/2 z)) z)) (fma.f64 3683516130645841/2000000000000 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (/.f64 (exp.f64 (+.f64 -15/2 z)) (*.f64 z z))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (*.f64 (exp.f64 (+.f64 -15/2 z)) 909016194325544373103082059/4200000000000000000000000)))) |
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(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (*.f64 (exp.f64 (+.f64 -15/2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 909016194325544373103082059/4200000000000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))))) |
(log1p.f64 (expm1.f64 (*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) 909016194325544373103082059/4200000000000000000000000) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (exp.f64 (+.f64 z -15/2)))))) |
(*.f64 (/.f64 (*.f64 (PI.f64) (exp.f64 (-.f64 z 15/2))) (sin.f64 (*.f64 z (PI.f64)))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) 904816194325545171523082059/4200000000000000000000000)))) |
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (*.f64 (exp.f64 (+.f64 -15/2 z)) (+.f64 909016194325544373103082059/4200000000000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))))) |
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (*.f64 (exp.f64 (+.f64 -15/2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 909016194325544373103082059/4200000000000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))))) |
(exp.f64 (+.f64 (log.f64 (*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) 909016194325544373103082059/4200000000000000000000000) (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))))) (+.f64 z -15/2))) |
(*.f64 (/.f64 (*.f64 (PI.f64) (exp.f64 (-.f64 z 15/2))) (sin.f64 (*.f64 z (PI.f64)))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) 904816194325545171523082059/4200000000000000000000000)))) |
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (*.f64 (exp.f64 (+.f64 -15/2 z)) (+.f64 909016194325544373103082059/4200000000000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))))) |
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (*.f64 (exp.f64 (+.f64 -15/2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 909016194325544373103082059/4200000000000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))))) |
(exp.f64 (*.f64 (+.f64 (log.f64 (*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) 909016194325544373103082059/4200000000000000000000000) (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))))) (+.f64 z -15/2)) 1)) |
(*.f64 (/.f64 (*.f64 (PI.f64) (exp.f64 (-.f64 z 15/2))) (sin.f64 (*.f64 z (PI.f64)))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) 904816194325545171523082059/4200000000000000000000000)))) |
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (*.f64 (exp.f64 (+.f64 -15/2 z)) (+.f64 909016194325544373103082059/4200000000000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))))) |
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (*.f64 (exp.f64 (+.f64 -15/2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 909016194325544373103082059/4200000000000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (exp.f64 (+.f64 z -15/2))))) 1) |
(/.f64 (*.f64 (PI.f64) (exp.f64 (-.f64 z 15/2))) (sin.f64 (*.f64 z (PI.f64)))) |
(*.f64 (PI.f64) (/.f64 (exp.f64 (+.f64 -15/2 z)) (sin.f64 (*.f64 z (PI.f64))))) |
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (exp.f64 (+.f64 -15/2 z))) |
(/.f64 1 (/.f64 (sin.f64 (*.f64 z (PI.f64))) (*.f64 (PI.f64) (exp.f64 (+.f64 z -15/2))))) |
(/.f64 (*.f64 (PI.f64) (exp.f64 (-.f64 z 15/2))) (sin.f64 (*.f64 z (PI.f64)))) |
(*.f64 (PI.f64) (/.f64 (exp.f64 (+.f64 -15/2 z)) (sin.f64 (*.f64 z (PI.f64))))) |
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (exp.f64 (+.f64 -15/2 z))) |
(/.f64 (PI.f64) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (exp.f64 (+.f64 z -15/2)))) |
(/.f64 (*.f64 (PI.f64) (exp.f64 (-.f64 z 15/2))) (sin.f64 (*.f64 z (PI.f64)))) |
(*.f64 (PI.f64) (/.f64 (exp.f64 (+.f64 -15/2 z)) (sin.f64 (*.f64 z (PI.f64))))) |
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (exp.f64 (+.f64 -15/2 z))) |
(/.f64 (exp.f64 (+.f64 z -15/2)) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (PI.f64))) |
(/.f64 (*.f64 (PI.f64) (exp.f64 (-.f64 z 15/2))) (sin.f64 (*.f64 z (PI.f64)))) |
(*.f64 (PI.f64) (/.f64 (exp.f64 (+.f64 -15/2 z)) (sin.f64 (*.f64 z (PI.f64))))) |
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (exp.f64 (+.f64 -15/2 z))) |
(/.f64 (*.f64 (PI.f64) (exp.f64 (+.f64 z -15/2))) (sin.f64 (*.f64 z (PI.f64)))) |
(/.f64 (*.f64 (PI.f64) (exp.f64 (-.f64 z 15/2))) (sin.f64 (*.f64 z (PI.f64)))) |
(*.f64 (PI.f64) (/.f64 (exp.f64 (+.f64 -15/2 z)) (sin.f64 (*.f64 z (PI.f64))))) |
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (exp.f64 (+.f64 -15/2 z))) |
(/.f64 (neg.f64 (*.f64 (PI.f64) (exp.f64 (+.f64 z -15/2)))) (neg.f64 (sin.f64 (*.f64 z (PI.f64))))) |
(/.f64 (*.f64 (PI.f64) (exp.f64 (-.f64 z 15/2))) (sin.f64 (*.f64 z (PI.f64)))) |
(*.f64 (PI.f64) (/.f64 (exp.f64 (+.f64 -15/2 z)) (sin.f64 (*.f64 z (PI.f64))))) |
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (exp.f64 (+.f64 -15/2 z))) |
(/.f64 (/.f64 (*.f64 (PI.f64) (exp.f64 (+.f64 z -15/2))) 1) (sin.f64 (*.f64 z (PI.f64)))) |
(/.f64 (*.f64 (PI.f64) (exp.f64 (-.f64 z 15/2))) (sin.f64 (*.f64 z (PI.f64)))) |
(*.f64 (PI.f64) (/.f64 (exp.f64 (+.f64 -15/2 z)) (sin.f64 (*.f64 z (PI.f64))))) |
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (exp.f64 (+.f64 -15/2 z))) |
(/.f64 (/.f64 (*.f64 (PI.f64) (exp.f64 (+.f64 z -15/2))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 z (PI.f64)))) 2)) (cbrt.f64 (sin.f64 (*.f64 z (PI.f64))))) |
(/.f64 (*.f64 (PI.f64) (exp.f64 (-.f64 z 15/2))) (sin.f64 (*.f64 z (PI.f64)))) |
(*.f64 (PI.f64) (/.f64 (exp.f64 (+.f64 -15/2 z)) (sin.f64 (*.f64 z (PI.f64))))) |
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (exp.f64 (+.f64 -15/2 z))) |
(/.f64 (/.f64 (*.f64 (PI.f64) (exp.f64 (+.f64 z -15/2))) (sqrt.f64 (sin.f64 (*.f64 z (PI.f64))))) (sqrt.f64 (sin.f64 (*.f64 z (PI.f64))))) |
(/.f64 (*.f64 (PI.f64) (exp.f64 (-.f64 z 15/2))) (sin.f64 (*.f64 z (PI.f64)))) |
(*.f64 (PI.f64) (/.f64 (exp.f64 (+.f64 -15/2 z)) (sin.f64 (*.f64 z (PI.f64))))) |
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (exp.f64 (+.f64 -15/2 z))) |
(/.f64 (*.f64 (neg.f64 (PI.f64)) (exp.f64 (+.f64 z -15/2))) (neg.f64 (sin.f64 (*.f64 z (PI.f64))))) |
(/.f64 (*.f64 (PI.f64) (exp.f64 (-.f64 z 15/2))) (sin.f64 (*.f64 z (PI.f64)))) |
(*.f64 (PI.f64) (/.f64 (exp.f64 (+.f64 -15/2 z)) (sin.f64 (*.f64 z (PI.f64))))) |
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (exp.f64 (+.f64 -15/2 z))) |
(/.f64 (*.f64 (exp.f64 (+.f64 z -15/2)) (neg.f64 (PI.f64))) (neg.f64 (sin.f64 (*.f64 z (PI.f64))))) |
(/.f64 (*.f64 (PI.f64) (exp.f64 (-.f64 z 15/2))) (sin.f64 (*.f64 z (PI.f64)))) |
(*.f64 (PI.f64) (/.f64 (exp.f64 (+.f64 -15/2 z)) (sin.f64 (*.f64 z (PI.f64))))) |
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (exp.f64 (+.f64 -15/2 z))) |
(pow.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (exp.f64 (+.f64 z -15/2))) 1) |
(/.f64 (*.f64 (PI.f64) (exp.f64 (-.f64 z 15/2))) (sin.f64 (*.f64 z (PI.f64)))) |
(*.f64 (PI.f64) (/.f64 (exp.f64 (+.f64 -15/2 z)) (sin.f64 (*.f64 z (PI.f64))))) |
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (exp.f64 (+.f64 -15/2 z))) |
(pow.f64 (pow.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (exp.f64 (+.f64 z -15/2))) 3) 1/3) |
(/.f64 (*.f64 (PI.f64) (exp.f64 (-.f64 z 15/2))) (sin.f64 (*.f64 z (PI.f64)))) |
(*.f64 (PI.f64) (/.f64 (exp.f64 (+.f64 -15/2 z)) (sin.f64 (*.f64 z (PI.f64))))) |
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (exp.f64 (+.f64 -15/2 z))) |
(pow.f64 (cbrt.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (exp.f64 (+.f64 z -15/2)))) 3) |
(/.f64 (*.f64 (PI.f64) (exp.f64 (-.f64 z 15/2))) (sin.f64 (*.f64 z (PI.f64)))) |
(*.f64 (PI.f64) (/.f64 (exp.f64 (+.f64 -15/2 z)) (sin.f64 (*.f64 z (PI.f64))))) |
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (exp.f64 (+.f64 -15/2 z))) |
(pow.f64 (sqrt.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (exp.f64 (+.f64 z -15/2)))) 2) |
(/.f64 (*.f64 (PI.f64) (exp.f64 (-.f64 z 15/2))) (sin.f64 (*.f64 z (PI.f64)))) |
(*.f64 (PI.f64) (/.f64 (exp.f64 (+.f64 -15/2 z)) (sin.f64 (*.f64 z (PI.f64))))) |
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (exp.f64 (+.f64 -15/2 z))) |
(sqrt.f64 (pow.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (exp.f64 (+.f64 z -15/2))) 2)) |
(/.f64 (*.f64 (PI.f64) (exp.f64 (-.f64 z 15/2))) (sin.f64 (*.f64 z (PI.f64)))) |
(*.f64 (PI.f64) (/.f64 (exp.f64 (+.f64 -15/2 z)) (sin.f64 (*.f64 z (PI.f64))))) |
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (exp.f64 (+.f64 -15/2 z))) |
(log.f64 (pow.f64 (exp.f64 (exp.f64 (+.f64 z -15/2))) (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))))) |
(/.f64 (*.f64 (PI.f64) (exp.f64 (-.f64 z 15/2))) (sin.f64 (*.f64 z (PI.f64)))) |
(*.f64 (PI.f64) (/.f64 (exp.f64 (+.f64 -15/2 z)) (sin.f64 (*.f64 z (PI.f64))))) |
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (exp.f64 (+.f64 -15/2 z))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (exp.f64 (+.f64 z -15/2)))))) |
(/.f64 (*.f64 (PI.f64) (exp.f64 (-.f64 z 15/2))) (sin.f64 (*.f64 z (PI.f64)))) |
(*.f64 (PI.f64) (/.f64 (exp.f64 (+.f64 -15/2 z)) (sin.f64 (*.f64 z (PI.f64))))) |
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (exp.f64 (+.f64 -15/2 z))) |
(cbrt.f64 (pow.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (exp.f64 (+.f64 z -15/2))) 3)) |
(/.f64 (*.f64 (PI.f64) (exp.f64 (-.f64 z 15/2))) (sin.f64 (*.f64 z (PI.f64)))) |
(*.f64 (PI.f64) (/.f64 (exp.f64 (+.f64 -15/2 z)) (sin.f64 (*.f64 z (PI.f64))))) |
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (exp.f64 (+.f64 -15/2 z))) |
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) 3) (pow.f64 (exp.f64 (+.f64 z -15/2)) 3))) |
(/.f64 (*.f64 (PI.f64) (exp.f64 (-.f64 z 15/2))) (sin.f64 (*.f64 z (PI.f64)))) |
(*.f64 (PI.f64) (/.f64 (exp.f64 (+.f64 -15/2 z)) (sin.f64 (*.f64 z (PI.f64))))) |
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (exp.f64 (+.f64 -15/2 z))) |
(cbrt.f64 (*.f64 (pow.f64 (exp.f64 (+.f64 z -15/2)) 3) (pow.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) 3))) |
(/.f64 (*.f64 (PI.f64) (exp.f64 (-.f64 z 15/2))) (sin.f64 (*.f64 z (PI.f64)))) |
(*.f64 (PI.f64) (/.f64 (exp.f64 (+.f64 -15/2 z)) (sin.f64 (*.f64 z (PI.f64))))) |
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (exp.f64 (+.f64 -15/2 z))) |
(expm1.f64 (log1p.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (exp.f64 (+.f64 z -15/2))))) |
(/.f64 (*.f64 (PI.f64) (exp.f64 (-.f64 z 15/2))) (sin.f64 (*.f64 z (PI.f64)))) |
(*.f64 (PI.f64) (/.f64 (exp.f64 (+.f64 -15/2 z)) (sin.f64 (*.f64 z (PI.f64))))) |
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (exp.f64 (+.f64 -15/2 z))) |
(log1p.f64 (expm1.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (exp.f64 (+.f64 z -15/2))))) |
(/.f64 (*.f64 (PI.f64) (exp.f64 (-.f64 z 15/2))) (sin.f64 (*.f64 z (PI.f64)))) |
(*.f64 (PI.f64) (/.f64 (exp.f64 (+.f64 -15/2 z)) (sin.f64 (*.f64 z (PI.f64))))) |
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (exp.f64 (+.f64 -15/2 z))) |
(exp.f64 (+.f64 (+.f64 z -15/2) (log.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))))) |
(/.f64 (*.f64 (PI.f64) (exp.f64 (-.f64 z 15/2))) (sin.f64 (*.f64 z (PI.f64)))) |
(*.f64 (PI.f64) (/.f64 (exp.f64 (+.f64 -15/2 z)) (sin.f64 (*.f64 z (PI.f64))))) |
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (exp.f64 (+.f64 -15/2 z))) |
(exp.f64 (*.f64 (+.f64 (+.f64 z -15/2) (log.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))))) 1)) |
(/.f64 (*.f64 (PI.f64) (exp.f64 (-.f64 z 15/2))) (sin.f64 (*.f64 z (PI.f64)))) |
(*.f64 (PI.f64) (/.f64 (exp.f64 (+.f64 -15/2 z)) (sin.f64 (*.f64 z (PI.f64))))) |
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (exp.f64 (+.f64 -15/2 z))) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.7b | (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (+.f64 646366562873259793/3000000000000000 (*.f64 z 6764801184542762983/90000000000000000)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2)))) |
| ✓ | 1.0b | (+.f64 (+.f64 646366562873259793/3000000000000000 (*.f64 z 6764801184542762983/90000000000000000)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) |
| 1.0b | (sqrt.f64 (*.f64 (PI.f64) 2)) | |
| 1.1b | (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) |
Compiled 398 to 297 computations (25.4% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | z | @ | 0 | (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (+.f64 646366562873259793/3000000000000000 (*.f64 z 6764801184542762983/90000000000000000)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2)))) |
| 1.0ms | z | @ | -inf | (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (+.f64 646366562873259793/3000000000000000 (*.f64 z 6764801184542762983/90000000000000000)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2)))) |
| 1.0ms | z | @ | inf | (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (+.f64 646366562873259793/3000000000000000 (*.f64 z 6764801184542762983/90000000000000000)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2)))) |
| 0.0ms | z | @ | 0 | (+.f64 (+.f64 646366562873259793/3000000000000000 (*.f64 z 6764801184542762983/90000000000000000)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) |
| 0.0ms | z | @ | inf | (+.f64 (+.f64 646366562873259793/3000000000000000 (*.f64 z 6764801184542762983/90000000000000000)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) |
| 1× | batch-egg-rewrite |
| 528× | add-sqr-sqrt_binary64 |
| 501× | add-cbrt-cube_binary64 |
| 501× | add-log-exp_binary64 |
| 500× | add-exp-log_binary64 |
| 500× | log1p-expm1-u_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 42 | 110 |
| 1 | 1029 | 110 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 (+.f64 646366562873259793/3000000000000000 (*.f64 z 6764801184542762983/90000000000000000)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) |
(*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (+.f64 646366562873259793/3000000000000000 (*.f64 z 6764801184542762983/90000000000000000)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2)))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 646366562873259793/3000000000000000 (+.f64 (*.f64 z 6764801184542762983/90000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (+.f64 646366562873259793/3000000000000000 (+.f64 (*.f64 z 6764801184542762983/90000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))) (cbrt.f64 (+.f64 646366562873259793/3000000000000000 (+.f64 (*.f64 z 6764801184542762983/90000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))) (cbrt.f64 (+.f64 646366562873259793/3000000000000000 (+.f64 (*.f64 z 6764801184542762983/90000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 646366562873259793/3000000000000000 (+.f64 (*.f64 z 6764801184542762983/90000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))) (sqrt.f64 (+.f64 646366562873259793/3000000000000000 (+.f64 (*.f64 z 6764801184542762983/90000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))))) (#(struct:change #<rule 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(/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 646366562873259793/3000000000000000 (+.f64 (*.f64 z 6764801184542762983/90000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 646366562873259793/3000000000000000 (+.f64 (*.f64 z 6764801184542762983/90000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))))))) |
((#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 646366562873259793/3000000000000000 (*.f64 z 6764801184542762983/90000000000000000))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (exp.f64 (+.f64 z -15/2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 646366562873259793/3000000000000000 (*.f64 z 6764801184542762983/90000000000000000))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (exp.f64 (+.f64 z -15/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (*.f64 (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 646366562873259793/3000000000000000 (*.f64 z 6764801184542762983/90000000000000000))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (exp.f64 (+.f64 z -15/2)))) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 646366562873259793/3000000000000000 (*.f64 z 6764801184542762983/90000000000000000))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (exp.f64 (+.f64 z -15/2))))) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 646366562873259793/3000000000000000 (*.f64 z 6764801184542762983/90000000000000000))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (exp.f64 (+.f64 z -15/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 646366562873259793/3000000000000000 (*.f64 z 6764801184542762983/90000000000000000))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (exp.f64 (+.f64 z -15/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 646366562873259793/3000000000000000 (*.f64 z 6764801184542762983/90000000000000000))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (exp.f64 (+.f64 z -15/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 646366562873259793/3000000000000000 (*.f64 z 6764801184542762983/90000000000000000))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (exp.f64 (+.f64 z -15/2)))))))))) |
| 1× | egg-herbie |
| 716× | associate-+l+_binary64 |
| 714× | fma-def_binary64 |
| 469× | associate-*r/_binary64 |
| 468× | associate-*l/_binary64 |
| 285× | times-frac_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 197 | 1748 |
| 1 | 583 | 1680 |
| 2 | 2421 | 1511 |
| 1× | node limit |
| Inputs |
|---|
904816194325545171523082059/4200000000000000000000000 |
(+.f64 904816194325545171523082059/4200000000000000000000000 (*.f64 17677775146260978562117317613/235200000000000000000000000 z)) |
(+.f64 904816194325545171523082059/4200000000000000000000000 (+.f64 (*.f64 17677775146260978562117317613/235200000000000000000000000 z) (*.f64 -76044331624539137747479981/118540800000000000000000000000 (pow.f64 z 2)))) |
(+.f64 (*.f64 -2129255331893733814996830001/19914854400000000000000000000000 (pow.f64 z 3)) (+.f64 904816194325545171523082059/4200000000000000000000000 (+.f64 (*.f64 17677775146260978562117317613/235200000000000000000000000 z) (*.f64 -76044331624539137747479981/118540800000000000000000000000 (pow.f64 z 2))))) |
(*.f64 6764801184542762983/90000000000000000 z) |
(+.f64 646366562873259793/3000000000000000 (*.f64 6764801184542762983/90000000000000000 z)) |
(+.f64 646366562873259793/3000000000000000 (+.f64 (*.f64 3464024008321714637421/25000000000000000000000 (/.f64 1 z)) (*.f64 6764801184542762983/90000000000000000 z))) |
(+.f64 646366562873259793/3000000000000000 (+.f64 (*.f64 5195971728131790397167/6250000000000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (*.f64 3464024008321714637421/25000000000000000000000 (/.f64 1 z)) (*.f64 6764801184542762983/90000000000000000 z)))) |
(*.f64 6764801184542762983/90000000000000000 z) |
(+.f64 646366562873259793/3000000000000000 (*.f64 6764801184542762983/90000000000000000 z)) |
(+.f64 646366562873259793/3000000000000000 (+.f64 (*.f64 3464024008321714637421/25000000000000000000000 (/.f64 1 z)) (*.f64 6764801184542762983/90000000000000000 z))) |
(+.f64 646366562873259793/3000000000000000 (+.f64 (*.f64 5195971728131790397167/6250000000000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (*.f64 3464024008321714637421/25000000000000000000000 (/.f64 1 z)) (*.f64 6764801184542762983/90000000000000000 z)))) |
(*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z)) |
(+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (+.f64 (*.f64 102757979785251069442117317613/235200000000000000000000000 (exp.f64 -15/2)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z)))) |
(+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (+.f64 (*.f64 (-.f64 (+.f64 (*.f64 61537768351425256993662252520019/118540800000000000000000000000 (exp.f64 -15/2)) (+.f64 (*.f64 1106209385320415913103082059/8400000000000000000000000 (exp.f64 -15/2)) (*.f64 102757979785251069442117317613/235200000000000000000000000 (exp.f64 -15/2)))) (*.f64 -1106209385320415913103082059/25200000000000000000000000 (*.f64 (exp.f64 -15/2) (pow.f64 (PI.f64) 2)))) z) (+.f64 (*.f64 102757979785251069442117317613/235200000000000000000000000 (exp.f64 -15/2)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z))))) |
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(*.f64 6764801184542762983/90000000000000000 (/.f64 (*.f64 (exp.f64 (-.f64 z 15/2)) (*.f64 z (PI.f64))) (sin.f64 (*.f64 z (PI.f64))))) |
(+.f64 (*.f64 6764801184542762983/90000000000000000 (/.f64 (*.f64 (exp.f64 (-.f64 z 15/2)) (*.f64 z (PI.f64))) (sin.f64 (*.f64 z (PI.f64))))) (*.f64 6493665628732592227/30000000000000000 (/.f64 (*.f64 (exp.f64 (-.f64 z 15/2)) (PI.f64)) (sin.f64 (*.f64 z (PI.f64)))))) |
(+.f64 (*.f64 14568935239021264214637421/25000000000000000000000 (/.f64 (*.f64 (exp.f64 (-.f64 z 15/2)) (PI.f64)) (*.f64 (sin.f64 (*.f64 z (PI.f64))) z))) (+.f64 (*.f64 6764801184542762983/90000000000000000 (/.f64 (*.f64 (exp.f64 (-.f64 z 15/2)) (*.f64 z (PI.f64))) (sin.f64 (*.f64 z (PI.f64))))) (*.f64 6493665628732592227/30000000000000000 (/.f64 (*.f64 (exp.f64 (-.f64 z 15/2)) (PI.f64)) (sin.f64 (*.f64 z (PI.f64))))))) |
(+.f64 (*.f64 14568935239021264214637421/25000000000000000000000 (/.f64 (*.f64 (exp.f64 (-.f64 z 15/2)) (PI.f64)) (*.f64 (sin.f64 (*.f64 z (PI.f64))) z))) (+.f64 (*.f64 6764801184542762983/90000000000000000 (/.f64 (*.f64 (exp.f64 (-.f64 z 15/2)) (*.f64 z (PI.f64))) (sin.f64 (*.f64 z (PI.f64))))) (+.f64 (*.f64 11516183879996384915397167/6250000000000000000000 (/.f64 (*.f64 (exp.f64 (-.f64 z 15/2)) (PI.f64)) (*.f64 (sin.f64 (*.f64 z (PI.f64))) (pow.f64 z 2)))) (*.f64 6493665628732592227/30000000000000000 (/.f64 (*.f64 (exp.f64 (-.f64 z 15/2)) (PI.f64)) (sin.f64 (*.f64 z (PI.f64)))))))) |
(*.f64 6764801184542762983/90000000000000000 (/.f64 (*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))) (*.f64 z (PI.f64))) (sin.f64 (*.f64 z (PI.f64))))) |
(+.f64 (*.f64 6493665628732592227/30000000000000000 (/.f64 (*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))) (PI.f64)) (sin.f64 (*.f64 z (PI.f64))))) (*.f64 6764801184542762983/90000000000000000 (/.f64 (*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))) (*.f64 z (PI.f64))) (sin.f64 (*.f64 z (PI.f64)))))) |
(+.f64 (*.f64 14568935239021264214637421/25000000000000000000000 (/.f64 (*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))) (PI.f64)) (*.f64 (sin.f64 (*.f64 z (PI.f64))) z))) (+.f64 (*.f64 6493665628732592227/30000000000000000 (/.f64 (*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))) (PI.f64)) (sin.f64 (*.f64 z (PI.f64))))) (*.f64 6764801184542762983/90000000000000000 (/.f64 (*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))) (*.f64 z (PI.f64))) (sin.f64 (*.f64 z (PI.f64))))))) |
(+.f64 (*.f64 14568935239021264214637421/25000000000000000000000 (/.f64 (*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))) (PI.f64)) (*.f64 (sin.f64 (*.f64 z (PI.f64))) z))) (+.f64 (*.f64 6493665628732592227/30000000000000000 (/.f64 (*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))) (PI.f64)) (sin.f64 (*.f64 z (PI.f64))))) (+.f64 (*.f64 6764801184542762983/90000000000000000 (/.f64 (*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))) (*.f64 z (PI.f64))) (sin.f64 (*.f64 z (PI.f64))))) (*.f64 11516183879996384915397167/6250000000000000000000 (/.f64 (*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))) (PI.f64)) (*.f64 (sin.f64 (*.f64 z (PI.f64))) (pow.f64 z 2))))))) |
(*.f64 1 (+.f64 646366562873259793/3000000000000000 (+.f64 (*.f64 z 6764801184542762983/90000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))) |
(*.f64 (*.f64 (cbrt.f64 (+.f64 646366562873259793/3000000000000000 (+.f64 (*.f64 z 6764801184542762983/90000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))) (cbrt.f64 (+.f64 646366562873259793/3000000000000000 (+.f64 (*.f64 z 6764801184542762983/90000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))) (cbrt.f64 (+.f64 646366562873259793/3000000000000000 (+.f64 (*.f64 z 6764801184542762983/90000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))) |
(*.f64 (sqrt.f64 (+.f64 646366562873259793/3000000000000000 (+.f64 (*.f64 z 6764801184542762983/90000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))) (sqrt.f64 (+.f64 646366562873259793/3000000000000000 (+.f64 (*.f64 z 6764801184542762983/90000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))) |
(/.f64 (+.f64 (pow.f64 (+.f64 646366562873259793/3000000000000000 (*.f64 z 6764801184542762983/90000000000000000)) 3) (pow.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) 3)) (+.f64 (*.f64 (+.f64 646366562873259793/3000000000000000 (*.f64 z 6764801184542762983/90000000000000000)) (+.f64 646366562873259793/3000000000000000 (*.f64 z 6764801184542762983/90000000000000000))) (-.f64 (*.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (*.f64 (+.f64 646366562873259793/3000000000000000 (*.f64 z 6764801184542762983/90000000000000000)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))) |
(/.f64 (-.f64 (*.f64 (+.f64 646366562873259793/3000000000000000 (*.f64 z 6764801184542762983/90000000000000000)) (+.f64 646366562873259793/3000000000000000 (*.f64 z 6764801184542762983/90000000000000000))) (*.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (-.f64 (+.f64 646366562873259793/3000000000000000 (*.f64 z 6764801184542762983/90000000000000000)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) |
(pow.f64 (+.f64 646366562873259793/3000000000000000 (+.f64 (*.f64 z 6764801184542762983/90000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) 1) |
(log.f64 (exp.f64 (+.f64 646366562873259793/3000000000000000 (+.f64 (*.f64 z 6764801184542762983/90000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))) |
(cbrt.f64 (*.f64 (*.f64 (+.f64 646366562873259793/3000000000000000 (+.f64 (*.f64 z 6764801184542762983/90000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (+.f64 646366562873259793/3000000000000000 (+.f64 (*.f64 z 6764801184542762983/90000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))) (+.f64 646366562873259793/3000000000000000 (+.f64 (*.f64 z 6764801184542762983/90000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))) |
(expm1.f64 (log1p.f64 (+.f64 646366562873259793/3000000000000000 (+.f64 (*.f64 z 6764801184542762983/90000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))) |
(log1p.f64 (expm1.f64 (+.f64 646366562873259793/3000000000000000 (+.f64 (*.f64 z 6764801184542762983/90000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))) |
(exp.f64 (log.f64 (+.f64 646366562873259793/3000000000000000 (+.f64 (*.f64 z 6764801184542762983/90000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))) |
(pow.f64 (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 646366562873259793/3000000000000000 (*.f64 z 6764801184542762983/90000000000000000))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (exp.f64 (+.f64 z -15/2)))) 1) |
(log.f64 (exp.f64 (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 646366562873259793/3000000000000000 (*.f64 z 6764801184542762983/90000000000000000))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (exp.f64 (+.f64 z -15/2)))))) |
(cbrt.f64 (*.f64 (*.f64 (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 646366562873259793/3000000000000000 (*.f64 z 6764801184542762983/90000000000000000))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (exp.f64 (+.f64 z -15/2)))) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 646366562873259793/3000000000000000 (*.f64 z 6764801184542762983/90000000000000000))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (exp.f64 (+.f64 z -15/2))))) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 646366562873259793/3000000000000000 (*.f64 z 6764801184542762983/90000000000000000))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (exp.f64 (+.f64 z -15/2)))))) |
(expm1.f64 (log1p.f64 (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 646366562873259793/3000000000000000 (*.f64 z 6764801184542762983/90000000000000000))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (exp.f64 (+.f64 z -15/2)))))) |
(log1p.f64 (expm1.f64 (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 646366562873259793/3000000000000000 (*.f64 z 6764801184542762983/90000000000000000))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (exp.f64 (+.f64 z -15/2)))))) |
(exp.f64 (log.f64 (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 646366562873259793/3000000000000000 (*.f64 z 6764801184542762983/90000000000000000))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (exp.f64 (+.f64 z -15/2)))))) |
| Outputs |
|---|
904816194325545171523082059/4200000000000000000000000 |
(+.f64 904816194325545171523082059/4200000000000000000000000 (*.f64 17677775146260978562117317613/235200000000000000000000000 z)) |
(fma.f64 17677775146260978562117317613/235200000000000000000000000 z 904816194325545171523082059/4200000000000000000000000) |
(+.f64 904816194325545171523082059/4200000000000000000000000 (+.f64 (*.f64 17677775146260978562117317613/235200000000000000000000000 z) (*.f64 -76044331624539137747479981/118540800000000000000000000000 (pow.f64 z 2)))) |
(+.f64 904816194325545171523082059/4200000000000000000000000 (fma.f64 17677775146260978562117317613/235200000000000000000000000 z (*.f64 -76044331624539137747479981/118540800000000000000000000000 (*.f64 z z)))) |
(+.f64 904816194325545171523082059/4200000000000000000000000 (fma.f64 17677775146260978562117317613/235200000000000000000000000 z (*.f64 z (*.f64 z -76044331624539137747479981/118540800000000000000000000000)))) |
(fma.f64 17677775146260978562117317613/235200000000000000000000000 z (fma.f64 z (*.f64 z -76044331624539137747479981/118540800000000000000000000000) 904816194325545171523082059/4200000000000000000000000)) |
(+.f64 (*.f64 -2129255331893733814996830001/19914854400000000000000000000000 (pow.f64 z 3)) (+.f64 904816194325545171523082059/4200000000000000000000000 (+.f64 (*.f64 17677775146260978562117317613/235200000000000000000000000 z) (*.f64 -76044331624539137747479981/118540800000000000000000000000 (pow.f64 z 2))))) |
(fma.f64 -2129255331893733814996830001/19914854400000000000000000000000 (pow.f64 z 3) (+.f64 904816194325545171523082059/4200000000000000000000000 (fma.f64 17677775146260978562117317613/235200000000000000000000000 z (*.f64 -76044331624539137747479981/118540800000000000000000000000 (*.f64 z z))))) |
(+.f64 (fma.f64 17677775146260978562117317613/235200000000000000000000000 z (*.f64 z (*.f64 z -76044331624539137747479981/118540800000000000000000000000))) (fma.f64 -2129255331893733814996830001/19914854400000000000000000000000 (pow.f64 z 3) 904816194325545171523082059/4200000000000000000000000)) |
(fma.f64 -2129255331893733814996830001/19914854400000000000000000000000 (pow.f64 z 3) (fma.f64 17677775146260978562117317613/235200000000000000000000000 z (fma.f64 z (*.f64 z -76044331624539137747479981/118540800000000000000000000000) 904816194325545171523082059/4200000000000000000000000))) |
(*.f64 6764801184542762983/90000000000000000 z) |
(*.f64 z 6764801184542762983/90000000000000000) |
(+.f64 646366562873259793/3000000000000000 (*.f64 6764801184542762983/90000000000000000 z)) |
(+.f64 646366562873259793/3000000000000000 (*.f64 z 6764801184542762983/90000000000000000)) |
(fma.f64 z 6764801184542762983/90000000000000000 646366562873259793/3000000000000000) |
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(+.f64 646366562873259793/3000000000000000 (fma.f64 z 6764801184542762983/90000000000000000 (/.f64 3464024008321714637421/25000000000000000000000 z))) |
(+.f64 (/.f64 3464024008321714637421/25000000000000000000000 z) (fma.f64 z 6764801184542762983/90000000000000000 646366562873259793/3000000000000000)) |
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(+.f64 646366562873259793/3000000000000000 (+.f64 (+.f64 (/.f64 3464024008321714637421/25000000000000000000000 z) (*.f64 z 6764801184542762983/90000000000000000)) (/.f64 5195971728131790397167/6250000000000000000000 (*.f64 z z)))) |
(+.f64 646366562873259793/3000000000000000 (+.f64 (fma.f64 z 6764801184542762983/90000000000000000 (/.f64 3464024008321714637421/25000000000000000000000 z)) (/.f64 (/.f64 5195971728131790397167/6250000000000000000000 z) z))) |
(+.f64 (/.f64 3464024008321714637421/25000000000000000000000 z) (+.f64 (/.f64 5195971728131790397167/6250000000000000000000 (*.f64 z z)) (fma.f64 z 6764801184542762983/90000000000000000 646366562873259793/3000000000000000))) |
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(fma.f64 z 6764801184542762983/90000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))) 646366562873259793/3000000000000000))) |
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(*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 646366562873259793/3000000000000000 (fma.f64 z 6764801184542762983/90000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))) (/.f64 (exp.f64 (+.f64 z -15/2)) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (PI.f64)))) |
(*.f64 (exp.f64 (+.f64 z -15/2)) (*.f64 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) 6493665628732592227/30000000000000000) (fma.f64 z 6764801184542762983/90000000000000000 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))) (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))))) |
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(*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 646366562873259793/3000000000000000 (fma.f64 z 6764801184542762983/90000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))) (/.f64 (exp.f64 (+.f64 z -15/2)) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (PI.f64)))) |
(*.f64 (exp.f64 (+.f64 z -15/2)) (*.f64 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) 6493665628732592227/30000000000000000) (fma.f64 z 6764801184542762983/90000000000000000 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))) (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))))) |
(*.f64 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 6493665628732592227/30000000000000000 (fma.f64 z 6764801184542762983/90000000000000000 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)))))) (/.f64 (exp.f64 (+.f64 z -15/2)) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (PI.f64)))) |
(cbrt.f64 (*.f64 (*.f64 (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 646366562873259793/3000000000000000 (*.f64 z 6764801184542762983/90000000000000000))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (exp.f64 (+.f64 z -15/2)))) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 646366562873259793/3000000000000000 (*.f64 z 6764801184542762983/90000000000000000))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (exp.f64 (+.f64 z -15/2))))) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 646366562873259793/3000000000000000 (*.f64 z 6764801184542762983/90000000000000000))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (exp.f64 (+.f64 z -15/2)))))) |
(*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 646366562873259793/3000000000000000 (fma.f64 z 6764801184542762983/90000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))) (/.f64 (exp.f64 (+.f64 z -15/2)) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (PI.f64)))) |
(*.f64 (exp.f64 (+.f64 z -15/2)) (*.f64 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) 6493665628732592227/30000000000000000) (fma.f64 z 6764801184542762983/90000000000000000 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))) (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))))) |
(*.f64 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 6493665628732592227/30000000000000000 (fma.f64 z 6764801184542762983/90000000000000000 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)))))) (/.f64 (exp.f64 (+.f64 z -15/2)) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (PI.f64)))) |
(expm1.f64 (log1p.f64 (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 646366562873259793/3000000000000000 (*.f64 z 6764801184542762983/90000000000000000))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (exp.f64 (+.f64 z -15/2)))))) |
(*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 646366562873259793/3000000000000000 (fma.f64 z 6764801184542762983/90000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))) (/.f64 (exp.f64 (+.f64 z -15/2)) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (PI.f64)))) |
(*.f64 (exp.f64 (+.f64 z -15/2)) (*.f64 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) 6493665628732592227/30000000000000000) (fma.f64 z 6764801184542762983/90000000000000000 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))) (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))))) |
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(log1p.f64 (expm1.f64 (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 646366562873259793/3000000000000000 (*.f64 z 6764801184542762983/90000000000000000))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (exp.f64 (+.f64 z -15/2)))))) |
(*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 646366562873259793/3000000000000000 (fma.f64 z 6764801184542762983/90000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))) (/.f64 (exp.f64 (+.f64 z -15/2)) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (PI.f64)))) |
(*.f64 (exp.f64 (+.f64 z -15/2)) (*.f64 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) 6493665628732592227/30000000000000000) (fma.f64 z 6764801184542762983/90000000000000000 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))) (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))))) |
(*.f64 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 6493665628732592227/30000000000000000 (fma.f64 z 6764801184542762983/90000000000000000 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)))))) (/.f64 (exp.f64 (+.f64 z -15/2)) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (PI.f64)))) |
(exp.f64 (log.f64 (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 646366562873259793/3000000000000000 (*.f64 z 6764801184542762983/90000000000000000))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (exp.f64 (+.f64 z -15/2)))))) |
(*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 646366562873259793/3000000000000000 (fma.f64 z 6764801184542762983/90000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))) (/.f64 (exp.f64 (+.f64 z -15/2)) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (PI.f64)))) |
(*.f64 (exp.f64 (+.f64 z -15/2)) (*.f64 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) 6493665628732592227/30000000000000000) (fma.f64 z 6764801184542762983/90000000000000000 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))) (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))))) |
(*.f64 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 6493665628732592227/30000000000000000 (fma.f64 z 6764801184542762983/90000000000000000 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)))))) (/.f64 (exp.f64 (+.f64 z -15/2)) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (PI.f64)))) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 1.0b | (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) |
| 1.0b | (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2)))) | |
| 1.0b | (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2))) | |
| 1.0b | (sqrt.f64 (*.f64 (PI.f64) 2)) |
Compiled 567 to 471 computations (16.9% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | z | @ | 0 | (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) |
| 0.0ms | z | @ | -inf | (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) |
| 0.0ms | z | @ | inf | (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) |
| 1× | batch-egg-rewrite |
| 960× | pow1_binary64 |
| 906× | add-log-exp_binary64 |
| 905× | log1p-expm1-u_binary64 |
| 905× | expm1-log1p-u_binary64 |
| 92× | add-sqr-sqrt_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 10 |
| 1 | 184 | 7 |
| 2 | 2353 | 7 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 7713234287776531/10000000000000 (/.f64 1 (-.f64 3 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (cbrt.f64 (/.f64 59493983178131529437839794393961/100000000000000000000000000 (pow.f64 (-.f64 3 z) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 59493983178131529437839794393961/100000000000000000000000000 (pow.f64 (-.f64 3 z) 2))) (cbrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (sqrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -7713234287776531/10000000000000 (/.f64 1 (neg.f64 (-.f64 3 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 3 z)) 7713234287776531/10000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 7713234287776531/10000000000000 (+.f64 8 (pow.f64 (-.f64 1 z) 3))) (+.f64 (pow.f64 (-.f64 1 z) 2) (-.f64 4 (*.f64 (-.f64 1 z) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (pow.f64 (-.f64 1 z) 2) -4)) (+.f64 (-.f64 1 z) -2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (-.f64 3 z) 10000000000000/7713234287776531) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 59493983178131529437839794393961/100000000000000000000000000 (pow.f64 (-.f64 3 z) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))))) |
| 1× | egg-herbie |
| 630× | associate-/l*_binary64 |
| 445× | associate-*l*_binary64 |
| 416× | associate-*r*_binary64 |
| 411× | log-prod_binary64 |
| 226× | fma-neg_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 103 | 401 |
| 1 | 264 | 384 |
| 2 | 857 | 376 |
| 3 | 4588 | 373 |
| 1× | node limit |
| Inputs |
|---|
7713234287776531/30000000000000 |
(+.f64 (*.f64 7713234287776531/90000000000000 z) 7713234287776531/30000000000000) |
(+.f64 (*.f64 7713234287776531/90000000000000 z) (+.f64 7713234287776531/30000000000000 (*.f64 7713234287776531/270000000000000 (pow.f64 z 2)))) |
(+.f64 (*.f64 7713234287776531/90000000000000 z) (+.f64 7713234287776531/30000000000000 (+.f64 (*.f64 7713234287776531/270000000000000 (pow.f64 z 2)) (*.f64 7713234287776531/810000000000000 (pow.f64 z 3))))) |
(/.f64 -7713234287776531/10000000000000 z) |
(neg.f64 (+.f64 (*.f64 23139702863329593/10000000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 7713234287776531/10000000000000 (/.f64 1 z)))) |
(neg.f64 (+.f64 (*.f64 23139702863329593/10000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (*.f64 69419108589988779/10000000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 7713234287776531/10000000000000 (/.f64 1 z))))) |
(neg.f64 (+.f64 (*.f64 208257325769966337/10000000000000 (/.f64 1 (pow.f64 z 4))) (+.f64 (*.f64 69419108589988779/10000000000000 (/.f64 1 (pow.f64 z 3))) (+.f64 (*.f64 23139702863329593/10000000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 7713234287776531/10000000000000 (/.f64 1 z)))))) |
(/.f64 -7713234287776531/10000000000000 z) |
(neg.f64 (+.f64 (*.f64 23139702863329593/10000000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 7713234287776531/10000000000000 (/.f64 1 z)))) |
(neg.f64 (+.f64 (*.f64 23139702863329593/10000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (*.f64 69419108589988779/10000000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 7713234287776531/10000000000000 (/.f64 1 z))))) |
(neg.f64 (+.f64 (*.f64 208257325769966337/10000000000000 (/.f64 1 (pow.f64 z 4))) (+.f64 (*.f64 69419108589988779/10000000000000 (/.f64 1 (pow.f64 z 3))) (+.f64 (*.f64 23139702863329593/10000000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 7713234287776531/10000000000000 (/.f64 1 z)))))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) 1) |
(*.f64 7713234287776531/10000000000000 (/.f64 1 (-.f64 3 z))) |
(*.f64 1 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) |
(*.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 1) |
(*.f64 (cbrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (cbrt.f64 (/.f64 59493983178131529437839794393961/100000000000000000000000000 (pow.f64 (-.f64 3 z) 2)))) |
(*.f64 (cbrt.f64 (/.f64 59493983178131529437839794393961/100000000000000000000000000 (pow.f64 (-.f64 3 z) 2))) (cbrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) |
(*.f64 (sqrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (sqrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) |
(*.f64 -7713234287776531/10000000000000 (/.f64 1 (neg.f64 (-.f64 3 z)))) |
(*.f64 (/.f64 1 (-.f64 3 z)) 7713234287776531/10000000000000) |
(*.f64 (/.f64 7713234287776531/10000000000000 (+.f64 8 (pow.f64 (-.f64 1 z) 3))) (+.f64 (pow.f64 (-.f64 1 z) 2) (-.f64 4 (*.f64 (-.f64 1 z) 2)))) |
(*.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (pow.f64 (-.f64 1 z) 2) -4)) (+.f64 (-.f64 1 z) -2)) |
(pow.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 1) |
(pow.f64 (pow.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 3) 1/3) |
(pow.f64 (cbrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) 3) |
(pow.f64 (sqrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) 2) |
(pow.f64 (*.f64 (-.f64 3 z) 10000000000000/7713234287776531) -1) |
(sqrt.f64 (/.f64 59493983178131529437839794393961/100000000000000000000000000 (pow.f64 (-.f64 3 z) 2))) |
(log.f64 (exp.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) |
(cbrt.f64 (pow.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 3)) |
(expm1.f64 (log1p.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) |
(log1p.f64 (expm1.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) |
(exp.f64 (log.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) |
| Outputs |
|---|
7713234287776531/30000000000000 |
(+.f64 (*.f64 7713234287776531/90000000000000 z) 7713234287776531/30000000000000) |
(fma.f64 7713234287776531/90000000000000 z 7713234287776531/30000000000000) |
(+.f64 (*.f64 7713234287776531/90000000000000 z) (+.f64 7713234287776531/30000000000000 (*.f64 7713234287776531/270000000000000 (pow.f64 z 2)))) |
(+.f64 (fma.f64 7713234287776531/90000000000000 z 7713234287776531/30000000000000) (*.f64 7713234287776531/270000000000000 (*.f64 z z))) |
(fma.f64 7713234287776531/90000000000000 z (fma.f64 7713234287776531/270000000000000 (*.f64 z z) 7713234287776531/30000000000000)) |
(fma.f64 7713234287776531/90000000000000 z (fma.f64 z (*.f64 z 7713234287776531/270000000000000) 7713234287776531/30000000000000)) |
(+.f64 (*.f64 7713234287776531/90000000000000 z) (+.f64 7713234287776531/30000000000000 (+.f64 (*.f64 7713234287776531/270000000000000 (pow.f64 z 2)) (*.f64 7713234287776531/810000000000000 (pow.f64 z 3))))) |
(+.f64 (fma.f64 7713234287776531/90000000000000 z 7713234287776531/30000000000000) (fma.f64 7713234287776531/270000000000000 (*.f64 z z) (*.f64 7713234287776531/810000000000000 (pow.f64 z 3)))) |
(fma.f64 7713234287776531/90000000000000 z (fma.f64 z (*.f64 z 7713234287776531/270000000000000) (fma.f64 7713234287776531/810000000000000 (pow.f64 z 3) 7713234287776531/30000000000000))) |
(+.f64 7713234287776531/30000000000000 (*.f64 z (+.f64 7713234287776531/90000000000000 (*.f64 z (+.f64 7713234287776531/270000000000000 (*.f64 z 7713234287776531/810000000000000)))))) |
(/.f64 -7713234287776531/10000000000000 z) |
(neg.f64 (+.f64 (*.f64 23139702863329593/10000000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 7713234287776531/10000000000000 (/.f64 1 z)))) |
(neg.f64 (+.f64 (/.f64 23139702863329593/10000000000000 (*.f64 z z)) (/.f64 7713234287776531/10000000000000 z))) |
(+.f64 (/.f64 -23139702863329593/10000000000000 (*.f64 z z)) (/.f64 -7713234287776531/10000000000000 z)) |
(neg.f64 (+.f64 (*.f64 23139702863329593/10000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (*.f64 69419108589988779/10000000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 7713234287776531/10000000000000 (/.f64 1 z))))) |
(neg.f64 (+.f64 (/.f64 23139702863329593/10000000000000 (*.f64 z z)) (+.f64 (/.f64 7713234287776531/10000000000000 z) (/.f64 69419108589988779/10000000000000 (pow.f64 z 3))))) |
(-.f64 (/.f64 -23139702863329593/10000000000000 (*.f64 z z)) (+.f64 (/.f64 7713234287776531/10000000000000 z) (/.f64 69419108589988779/10000000000000 (pow.f64 z 3)))) |
(+.f64 (+.f64 (/.f64 -23139702863329593/10000000000000 (*.f64 z z)) (/.f64 -7713234287776531/10000000000000 z)) (/.f64 -69419108589988779/10000000000000 (pow.f64 z 3))) |
(neg.f64 (+.f64 (*.f64 208257325769966337/10000000000000 (/.f64 1 (pow.f64 z 4))) (+.f64 (*.f64 69419108589988779/10000000000000 (/.f64 1 (pow.f64 z 3))) (+.f64 (*.f64 23139702863329593/10000000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 7713234287776531/10000000000000 (/.f64 1 z)))))) |
(neg.f64 (+.f64 (+.f64 (/.f64 208257325769966337/10000000000000 (pow.f64 z 4)) (/.f64 69419108589988779/10000000000000 (pow.f64 z 3))) (+.f64 (/.f64 23139702863329593/10000000000000 (*.f64 z z)) (/.f64 7713234287776531/10000000000000 z)))) |
(+.f64 (/.f64 -208257325769966337/10000000000000 (pow.f64 z 4)) (-.f64 (/.f64 -23139702863329593/10000000000000 (*.f64 z z)) (+.f64 (/.f64 7713234287776531/10000000000000 z) (/.f64 69419108589988779/10000000000000 (pow.f64 z 3))))) |
(+.f64 (+.f64 (/.f64 -23139702863329593/10000000000000 (*.f64 z z)) (/.f64 -7713234287776531/10000000000000 z)) (+.f64 (/.f64 -208257325769966337/10000000000000 (pow.f64 z 4)) (/.f64 -69419108589988779/10000000000000 (pow.f64 z 3)))) |
(+.f64 (/.f64 -208257325769966337/10000000000000 (pow.f64 z 4)) (+.f64 (+.f64 (/.f64 -23139702863329593/10000000000000 (*.f64 z z)) (/.f64 -7713234287776531/10000000000000 z)) (/.f64 -69419108589988779/10000000000000 (pow.f64 z 3)))) |
(/.f64 -7713234287776531/10000000000000 z) |
(neg.f64 (+.f64 (*.f64 23139702863329593/10000000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 7713234287776531/10000000000000 (/.f64 1 z)))) |
(neg.f64 (+.f64 (/.f64 23139702863329593/10000000000000 (*.f64 z z)) (/.f64 7713234287776531/10000000000000 z))) |
(+.f64 (/.f64 -23139702863329593/10000000000000 (*.f64 z z)) (/.f64 -7713234287776531/10000000000000 z)) |
(neg.f64 (+.f64 (*.f64 23139702863329593/10000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (*.f64 69419108589988779/10000000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 7713234287776531/10000000000000 (/.f64 1 z))))) |
(neg.f64 (+.f64 (/.f64 23139702863329593/10000000000000 (*.f64 z z)) (+.f64 (/.f64 7713234287776531/10000000000000 z) (/.f64 69419108589988779/10000000000000 (pow.f64 z 3))))) |
(-.f64 (/.f64 -23139702863329593/10000000000000 (*.f64 z z)) (+.f64 (/.f64 7713234287776531/10000000000000 z) (/.f64 69419108589988779/10000000000000 (pow.f64 z 3)))) |
(+.f64 (+.f64 (/.f64 -23139702863329593/10000000000000 (*.f64 z z)) (/.f64 -7713234287776531/10000000000000 z)) (/.f64 -69419108589988779/10000000000000 (pow.f64 z 3))) |
(neg.f64 (+.f64 (*.f64 208257325769966337/10000000000000 (/.f64 1 (pow.f64 z 4))) (+.f64 (*.f64 69419108589988779/10000000000000 (/.f64 1 (pow.f64 z 3))) (+.f64 (*.f64 23139702863329593/10000000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 7713234287776531/10000000000000 (/.f64 1 z)))))) |
(neg.f64 (+.f64 (+.f64 (/.f64 208257325769966337/10000000000000 (pow.f64 z 4)) (/.f64 69419108589988779/10000000000000 (pow.f64 z 3))) (+.f64 (/.f64 23139702863329593/10000000000000 (*.f64 z z)) (/.f64 7713234287776531/10000000000000 z)))) |
(+.f64 (/.f64 -208257325769966337/10000000000000 (pow.f64 z 4)) (-.f64 (/.f64 -23139702863329593/10000000000000 (*.f64 z z)) (+.f64 (/.f64 7713234287776531/10000000000000 z) (/.f64 69419108589988779/10000000000000 (pow.f64 z 3))))) |
(+.f64 (+.f64 (/.f64 -23139702863329593/10000000000000 (*.f64 z z)) (/.f64 -7713234287776531/10000000000000 z)) (+.f64 (/.f64 -208257325769966337/10000000000000 (pow.f64 z 4)) (/.f64 -69419108589988779/10000000000000 (pow.f64 z 3)))) |
(+.f64 (/.f64 -208257325769966337/10000000000000 (pow.f64 z 4)) (+.f64 (+.f64 (/.f64 -23139702863329593/10000000000000 (*.f64 z z)) (/.f64 -7713234287776531/10000000000000 z)) (/.f64 -69419108589988779/10000000000000 (pow.f64 z 3)))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) 1) |
(/.f64 7713234287776531/10000000000000 (-.f64 3 z)) |
(/.f64 -7713234287776531/10000000000000 (+.f64 -3 z)) |
(/.f64 -7713234287776531/10000000000000 (+.f64 z -3)) |
(*.f64 7713234287776531/10000000000000 (/.f64 1 (-.f64 3 z))) |
(/.f64 7713234287776531/10000000000000 (-.f64 3 z)) |
(/.f64 -7713234287776531/10000000000000 (+.f64 -3 z)) |
(/.f64 -7713234287776531/10000000000000 (+.f64 z -3)) |
(*.f64 1 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) |
(/.f64 7713234287776531/10000000000000 (-.f64 3 z)) |
(/.f64 -7713234287776531/10000000000000 (+.f64 -3 z)) |
(/.f64 -7713234287776531/10000000000000 (+.f64 z -3)) |
(*.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 1) |
(/.f64 7713234287776531/10000000000000 (-.f64 3 z)) |
(/.f64 -7713234287776531/10000000000000 (+.f64 -3 z)) |
(/.f64 -7713234287776531/10000000000000 (+.f64 z -3)) |
(*.f64 (cbrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (cbrt.f64 (/.f64 59493983178131529437839794393961/100000000000000000000000000 (pow.f64 (-.f64 3 z) 2)))) |
(/.f64 7713234287776531/10000000000000 (-.f64 3 z)) |
(/.f64 -7713234287776531/10000000000000 (+.f64 -3 z)) |
(/.f64 -7713234287776531/10000000000000 (+.f64 z -3)) |
(*.f64 (cbrt.f64 (/.f64 59493983178131529437839794393961/100000000000000000000000000 (pow.f64 (-.f64 3 z) 2))) (cbrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) |
(/.f64 7713234287776531/10000000000000 (-.f64 3 z)) |
(/.f64 -7713234287776531/10000000000000 (+.f64 -3 z)) |
(/.f64 -7713234287776531/10000000000000 (+.f64 z -3)) |
(*.f64 (sqrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (sqrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) |
(/.f64 7713234287776531/10000000000000 (-.f64 3 z)) |
(/.f64 -7713234287776531/10000000000000 (+.f64 -3 z)) |
(/.f64 -7713234287776531/10000000000000 (+.f64 z -3)) |
(*.f64 -7713234287776531/10000000000000 (/.f64 1 (neg.f64 (-.f64 3 z)))) |
(/.f64 7713234287776531/10000000000000 (-.f64 3 z)) |
(/.f64 -7713234287776531/10000000000000 (+.f64 -3 z)) |
(/.f64 -7713234287776531/10000000000000 (+.f64 z -3)) |
(*.f64 (/.f64 1 (-.f64 3 z)) 7713234287776531/10000000000000) |
(/.f64 7713234287776531/10000000000000 (-.f64 3 z)) |
(/.f64 -7713234287776531/10000000000000 (+.f64 -3 z)) |
(/.f64 -7713234287776531/10000000000000 (+.f64 z -3)) |
(*.f64 (/.f64 7713234287776531/10000000000000 (+.f64 8 (pow.f64 (-.f64 1 z) 3))) (+.f64 (pow.f64 (-.f64 1 z) 2) (-.f64 4 (*.f64 (-.f64 1 z) 2)))) |
(*.f64 (/.f64 7713234287776531/10000000000000 (+.f64 8 (pow.f64 (-.f64 1 z) 3))) (-.f64 (+.f64 (pow.f64 (-.f64 1 z) 2) 4) (*.f64 2 (-.f64 1 z)))) |
(*.f64 (/.f64 7713234287776531/10000000000000 (+.f64 8 (pow.f64 (-.f64 1 z) 3))) (+.f64 4 (+.f64 (*.f64 (-.f64 1 z) -2) (pow.f64 (-.f64 1 z) 2)))) |
(*.f64 (/.f64 7713234287776531/10000000000000 (+.f64 8 (pow.f64 (-.f64 1 z) 3))) (+.f64 4 (*.f64 (-.f64 1 z) (-.f64 -1 z)))) |
(*.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (pow.f64 (-.f64 1 z) 2) -4)) (+.f64 (-.f64 1 z) -2)) |
(/.f64 (*.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) -2)) (+.f64 (pow.f64 (-.f64 1 z) 2) -4)) |
(*.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (pow.f64 (-.f64 1 z) 2) -4)) (-.f64 -1 z)) |
(pow.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 1) |
(/.f64 7713234287776531/10000000000000 (-.f64 3 z)) |
(/.f64 -7713234287776531/10000000000000 (+.f64 -3 z)) |
(/.f64 -7713234287776531/10000000000000 (+.f64 z -3)) |
(pow.f64 (pow.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 3) 1/3) |
(/.f64 7713234287776531/10000000000000 (-.f64 3 z)) |
(/.f64 -7713234287776531/10000000000000 (+.f64 -3 z)) |
(/.f64 -7713234287776531/10000000000000 (+.f64 z -3)) |
(pow.f64 (cbrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) 3) |
(/.f64 7713234287776531/10000000000000 (-.f64 3 z)) |
(/.f64 -7713234287776531/10000000000000 (+.f64 -3 z)) |
(/.f64 -7713234287776531/10000000000000 (+.f64 z -3)) |
(pow.f64 (sqrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) 2) |
(/.f64 7713234287776531/10000000000000 (-.f64 3 z)) |
(/.f64 -7713234287776531/10000000000000 (+.f64 -3 z)) |
(/.f64 -7713234287776531/10000000000000 (+.f64 z -3)) |
(pow.f64 (*.f64 (-.f64 3 z) 10000000000000/7713234287776531) -1) |
(/.f64 7713234287776531/10000000000000 (-.f64 3 z)) |
(/.f64 -7713234287776531/10000000000000 (+.f64 -3 z)) |
(/.f64 -7713234287776531/10000000000000 (+.f64 z -3)) |
(sqrt.f64 (/.f64 59493983178131529437839794393961/100000000000000000000000000 (pow.f64 (-.f64 3 z) 2))) |
(fabs.f64 (/.f64 -7713234287776531/10000000000000 (+.f64 z -3))) |
(log.f64 (exp.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) |
(/.f64 7713234287776531/10000000000000 (-.f64 3 z)) |
(/.f64 -7713234287776531/10000000000000 (+.f64 -3 z)) |
(/.f64 -7713234287776531/10000000000000 (+.f64 z -3)) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) |
(/.f64 7713234287776531/10000000000000 (-.f64 3 z)) |
(/.f64 -7713234287776531/10000000000000 (+.f64 -3 z)) |
(/.f64 -7713234287776531/10000000000000 (+.f64 z -3)) |
(cbrt.f64 (pow.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 3)) |
(/.f64 7713234287776531/10000000000000 (-.f64 3 z)) |
(/.f64 -7713234287776531/10000000000000 (+.f64 -3 z)) |
(/.f64 -7713234287776531/10000000000000 (+.f64 z -3)) |
(expm1.f64 (log1p.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) |
(/.f64 7713234287776531/10000000000000 (-.f64 3 z)) |
(/.f64 -7713234287776531/10000000000000 (+.f64 -3 z)) |
(/.f64 -7713234287776531/10000000000000 (+.f64 z -3)) |
(log1p.f64 (expm1.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) |
(/.f64 7713234287776531/10000000000000 (-.f64 3 z)) |
(/.f64 -7713234287776531/10000000000000 (+.f64 -3 z)) |
(/.f64 -7713234287776531/10000000000000 (+.f64 z -3)) |
(exp.f64 (log.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) |
(/.f64 7713234287776531/10000000000000 (-.f64 3 z)) |
(/.f64 -7713234287776531/10000000000000 (+.f64 -3 z)) |
(/.f64 -7713234287776531/10000000000000 (+.f64 z -3)) |
Compiled 68880 to 53042 computations (23% saved)
36 alts after pruning (34 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 999 | 24 | 1023 |
| Fresh | 10 | 10 | 20 |
| Picked | 1 | 0 | 1 |
| Done | 4 | 2 | 6 |
| Total | 1014 | 36 | 1050 |
| Status | Error | Program |
|---|---|---|
| 2.5b | (pow.f64 (cbrt.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z)) (sqrt.f64 (*.f64 (PI.f64) 2))))) 3) | |
| 2.3b | (/.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2))) z) | |
| 2.1b | (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (/.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) z) (sqrt.f64 (*.f64 2 (PI.f64))))) | |
| 2.0b | (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z)) (sqrt.f64 (*.f64 2 (PI.f64))))) | |
| 1.7b | (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2) (+.f64 (-.f64 (-.f64 1 z) 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 8))))) | |
| ▶ | 62.6b | (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 (+.f64 (/.f64 6868447169803563/40000000000000 (*.f64 z z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -4919378858736341/200000000000000 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))) |
| 1.0b | (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))) | |
| 1.1b | (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 (+.f64 7902188421553103227/30000000000000000 (*.f64 39321001939258358983/90000000000000000 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))) | |
| 1.7b | (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))) | |
| 0.8b | (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2)))) (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (+.f64 371756020978964147/150000000000000000 (*.f64 z 446800080651085577/900000000000000000)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))))) | |
| 1.4b | (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2)))) (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)) (+.f64 (*.f64 7713234287776531/90000000000000 z) 7713234287776531/30000000000000))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (+.f64 371756020978964147/150000000000000000 (*.f64 z 446800080651085577/900000000000000000)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))))) | |
| 1.9b | (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z)))) | |
| 1.4b | (*.f64 (*.f64 (cbrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (*.f64 2 (PI.f64)) 1/6)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 (+.f64 (-.f64 2 z) (*.f64 (-.f64 1 z) -12591392167224028/6765203681218851)) (*.f64 (-.f64 1 z) (*.f64 10000000000000/6765203681218851 (-.f64 2 z))))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2)))))) | |
| 1.6b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (fma.f64 (exp.f64 -15/2) 54901901787731453525296637639/78400000000000000000000000 (*.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 z) (exp.f64 -15/2))))) | |
| 2.0b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 z (exp.f64 -15/2))))) | |
| 2.1b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 1 (/.f64 z (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)))))) | |
| 1.3b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (+.f64 (*.f64 (exp.f64 -15/2) 54901901787731453525296637639/78400000000000000000000000) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z))))) | |
| 1.3b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (+.f64 (*.f64 102757979785251069442117317613/235200000000000000000000000 (exp.f64 -15/2)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z)))))) | |
| 2.3b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 z) (exp.f64 -15/2)))) | |
| 0.8b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 (+.f64 (-.f64 2 z) (*.f64 (*.f64 (-.f64 1 z) 10000000000000/6765203681218851) -3147848041806007/2500000000000)) (*.f64 (*.f64 (-.f64 1 z) 10000000000000/6765203681218851) (-.f64 2 z)))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2)))))) | |
| 0.7b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 (+.f64 (-.f64 1 z) (*.f64 (-.f64 -5000000000000/3147848041806007 (/.f64 z -3147848041806007/2500000000000)) 6765203681218851/10000000000000)) (*.f64 (-.f64 -5000000000000/3147848041806007 (/.f64 z -3147848041806007/2500000000000)) (-.f64 1 z)))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2)))))) | |
| 1.2b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 (+.f64 (*.f64 -3147848041806007/2500000000000 (-.f64 1 z)) (*.f64 (-.f64 2 z) 6765203681218851/10000000000000)) (*.f64 (-.f64 2 z) (-.f64 1 z)))) (+.f64 (+.f64 646366562873259793/3000000000000000 (*.f64 z 6764801184542762983/90000000000000000)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2)))))) | |
| ▶ | 0.7b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 (+.f64 469507597606837/5000000000000 (*.f64 5826188486005177/10000000000000 z)) (*.f64 (-.f64 2 z) (-.f64 1 z)))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2)))))) |
| ✓ | 0.7b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2)))))) |
| 1.3b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 904816194325545171523082059/4200000000000000000000000 (*.f64 17677775146260978562117317613/235200000000000000000000000 z))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2)))))) | |
| ▶ | 2.0b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) 904816194325545171523082059/4200000000000000000000000) (/.f64 (exp.f64 -15/2) z)))) |
| 1.3b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 469507597606837/10000000000000 (*.f64 904338909853211/2500000000000 z))) (+.f64 (+.f64 646366562873259793/3000000000000000 (*.f64 z 6764801184542762983/90000000000000000)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2)))))) | |
| ▶ | 2.8b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (pow.f64 (/.f64 (exp.f64 -5/2) (cbrt.f64 z)) 3)))) |
| ✓ | 2.0b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z)))) |
| 2.1b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 1 z) (exp.f64 -15/2))))) | |
| ▶ | 2.1b | (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) (/.f64 z (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))) |
| 1.9b | (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (sqrt.f64 15/2) (*.f64 (sqrt.f64 2) (exp.f64 -15/2))) (/.f64 z (sqrt.f64 (PI.f64))))) | |
| 1.9b | (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64)))) | |
| 1.8b | (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (sqrt.f64 2) (/.f64 z (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) (sqrt.f64 (PI.f64)))) | |
| 1.8b | (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (/.f64 (sqrt.f64 2) z) (*.f64 (exp.f64 -15/2) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))) | |
| 48.4b | (sqrt.f64 (*.f64 (*.f64 (PI.f64) 2) (pow.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (exp.f64 -15/2) z) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) 2))) |
Compiled 2997 to 2502 computations (16.5% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 1.0b | (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) | |
| 1.0b | (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) | |
| 1.0b | (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) | |
| 1.0b | (sqrt.f64 (*.f64 (PI.f64) 2)) |
Compiled 523 to 395 computations (24.5% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.5b | (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) (/.f64 z (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))) |
| ✓ | 0.5b | (/.f64 (exp.f64 -15/2) (/.f64 z (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) |
| ✓ | 0.7b | (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) (/.f64 z (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))) |
| ✓ | 1.0b | (sqrt.f64 (*.f64 2 (PI.f64))) |
Compiled 84 to 64 computations (23.8% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | z | @ | 0 | (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) (/.f64 z (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))) |
| 2.0ms | z | @ | 0 | (/.f64 (exp.f64 -15/2) (/.f64 z (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) |
| 1.0ms | z | @ | -inf | (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) (/.f64 z (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))) |
| 0.0ms | z | @ | inf | (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) (/.f64 z (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))) |
| 0.0ms | z | @ | -inf | (/.f64 (exp.f64 -15/2) (/.f64 z (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) |
| 1× | batch-egg-rewrite |
| 967× | log-prod_binary64 |
| 346× | expm1-udef_binary64 |
| 346× | log1p-udef_binary64 |
| 285× | log-pow_binary64 |
| 220× | log-div_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 18 | 76 |
| 1 | 403 | 76 |
| 2 | 5246 | 76 |
| 1× | node limit |
| Inputs |
|---|
(sqrt.f64 (*.f64 2 (PI.f64))) |
(*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) (/.f64 z (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))) |
(/.f64 (exp.f64 -15/2) (/.f64 z (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) |
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) (/.f64 z (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))) |
| Outputs |
|---|
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| 1× | egg-herbie |
| 485× | unswap-sqr_binary64 |
| 415× | associate-/r/_binary64 |
| 338× | associate-/l/_binary64 |
| 272× | associate-*r*_binary64 |
| 246× | cube-prod_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 387 | 3979 |
| 1 | 1004 | 3797 |
| 2 | 3750 | 3574 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) z)) |
(+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) z)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (exp.f64 -15/2) (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (sqrt.f64 15/2))))) |
(+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) z)) (+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (exp.f64 -15/2) (*.f64 (+.f64 29/225 (*.f64 1/2 (pow.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) 2))) (*.f64 (sqrt.f64 15/2) z)))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (exp.f64 -15/2) (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (sqrt.f64 15/2)))))) |
(+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) z)) (+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (exp.f64 -15/2) (*.f64 (+.f64 29/225 (*.f64 1/2 (pow.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) 2))) (*.f64 (sqrt.f64 15/2) z)))) (+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (*.f64 (pow.f64 z 2) (+.f64 (*.f64 29/225 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15)) (+.f64 86/10125 (*.f64 1/6 (pow.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) 3)))))))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (exp.f64 -15/2) (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (sqrt.f64 15/2))))))) |
(*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (exp.f64 -15/2) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) z)) |
(*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (exp.f64 -15/2) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) z)) |
(*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (exp.f64 -15/2) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) z)) |
(*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (exp.f64 -15/2) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) z)) |
(*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (exp.f64 -15/2) (exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2)))) z)) |
(*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (exp.f64 -15/2) (exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2)))) z)) |
(*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (exp.f64 -15/2) (exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2)))) z)) |
(*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (exp.f64 -15/2) (exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2)))) z)) |
(/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) z) |
(+.f64 (*.f64 (exp.f64 -15/2) (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (sqrt.f64 15/2))) (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) z)) |
(+.f64 (*.f64 (exp.f64 -15/2) (*.f64 (+.f64 29/225 (*.f64 1/2 (pow.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) 2))) (*.f64 (sqrt.f64 15/2) z))) (+.f64 (*.f64 (exp.f64 -15/2) (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (sqrt.f64 15/2))) (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) z))) |
(+.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (*.f64 (+.f64 (*.f64 29/225 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15)) (+.f64 86/10125 (*.f64 1/6 (pow.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) 3)))) (pow.f64 z 2)))) (+.f64 (*.f64 (exp.f64 -15/2) (*.f64 (+.f64 29/225 (*.f64 1/2 (pow.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) 2))) (*.f64 (sqrt.f64 15/2) z))) (+.f64 (*.f64 (exp.f64 -15/2) (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (sqrt.f64 15/2))) (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) z)))) |
(/.f64 (*.f64 (exp.f64 -15/2) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) z) |
(/.f64 (*.f64 (exp.f64 -15/2) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) z) |
(/.f64 (*.f64 (exp.f64 -15/2) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) z) |
(/.f64 (*.f64 (exp.f64 -15/2) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) z) |
(/.f64 (*.f64 (exp.f64 -15/2) (exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2)))) z) |
(/.f64 (*.f64 (exp.f64 -15/2) (exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2)))) z) |
(/.f64 (*.f64 (exp.f64 -15/2) (exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2)))) z) |
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(sqrt.f64 (pow.f64 (*.f64 (exp.f64 -15/2) (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) z)) 2)) |
(log.f64 (pow.f64 (exp.f64 (/.f64 (exp.f64 -15/2) z)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (exp.f64 -15/2) (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) z))))) |
(cbrt.f64 (pow.f64 (*.f64 (exp.f64 -15/2) (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) z)) 3)) |
(cbrt.f64 (/.f64 (exp.f64 -45/2) (pow.f64 (/.f64 z (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) 3))) |
(expm1.f64 (log1p.f64 (*.f64 (exp.f64 -15/2) (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) z)))) |
(log1p.f64 (expm1.f64 (*.f64 (exp.f64 -15/2) (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) z)))) |
(exp.f64 (+.f64 -15/2 (log.f64 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) z)))) |
(exp.f64 (*.f64 (+.f64 -15/2 (log.f64 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) z))) 1)) |
(+.f64 0 (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) 1106209385320415913103082059/4200000000000000000000000) (/.f64 (exp.f64 -15/2) z)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) |
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (pow.f64 (pow.f64 (exp.f64 (/.f64 (exp.f64 -15/2) z)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) 1106209385320415913103082059/4200000000000000000000000) (sqrt.f64 (*.f64 2 (PI.f64))))) (cbrt.f64 (pow.f64 (pow.f64 (pow.f64 (exp.f64 (/.f64 (exp.f64 -15/2) z)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) 1106209385320415913103082059/4200000000000000000000000) (sqrt.f64 (*.f64 2 (PI.f64))))))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (pow.f64 (exp.f64 (/.f64 (exp.f64 -15/2) z)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) 1106209385320415913103082059/4200000000000000000000000) (sqrt.f64 (*.f64 2 (PI.f64))))))) |
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (pow.f64 (exp.f64 (/.f64 (exp.f64 -15/2) z)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) 1106209385320415913103082059/4200000000000000000000000) (sqrt.f64 (*.f64 2 (PI.f64)))))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (pow.f64 (exp.f64 (/.f64 (exp.f64 -15/2) z)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) 1106209385320415913103082059/4200000000000000000000000) (sqrt.f64 (*.f64 2 (PI.f64))))))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) 1106209385320415913103082059/4200000000000000000000000) (/.f64 (exp.f64 -15/2) z)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))) 1) |
(/.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) 1106209385320415913103082059/4200000000000000000000000) (/.f64 z (*.f64 (exp.f64 -15/2) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))) |
(/.f64 (*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (sqrt.f64 (*.f64 2 (PI.f64)))) (/.f64 z (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) |
(/.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2))) (/.f64 z (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) |
(/.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) 1106209385320415913103082059/4200000000000000000000000) (exp.f64 -15/2)) (/.f64 z (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) |
(/.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) 1106209385320415913103082059/4200000000000000000000000) 1) (/.f64 z (*.f64 (exp.f64 -15/2) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))) |
(/.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) 1106209385320415913103082059/4200000000000000000000000) (neg.f64 (exp.f64 -15/2))) (/.f64 (neg.f64 z) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) |
(pow.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) 1106209385320415913103082059/4200000000000000000000000) (/.f64 (exp.f64 -15/2) z)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) 1) |
(pow.f64 (pow.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) 1106209385320415913103082059/4200000000000000000000000) (/.f64 (exp.f64 -15/2) z)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) 3) 1/3) |
(pow.f64 (cbrt.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) 1106209385320415913103082059/4200000000000000000000000) (/.f64 (exp.f64 -15/2) z)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) 3) |
(pow.f64 (sqrt.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) 1106209385320415913103082059/4200000000000000000000000) (/.f64 (exp.f64 -15/2) z)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) 2) |
(sqrt.f64 (*.f64 (*.f64 2 (PI.f64)) (*.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (pow.f64 (*.f64 (exp.f64 -15/2) (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) z)) 2)))) |
(log.f64 (pow.f64 (pow.f64 (pow.f64 (exp.f64 (/.f64 (exp.f64 -15/2) z)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) 1106209385320415913103082059/4200000000000000000000000) (sqrt.f64 (*.f64 2 (PI.f64))))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) 1106209385320415913103082059/4200000000000000000000000) (/.f64 (exp.f64 -15/2) z)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))) |
(cbrt.f64 (pow.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) 1106209385320415913103082059/4200000000000000000000000) (/.f64 (exp.f64 -15/2) z)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) 3)) |
(cbrt.f64 (*.f64 (pow.f64 (*.f64 2 (PI.f64)) 3/2) (pow.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (exp.f64 -15/2) (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) z))) 3))) |
(cbrt.f64 (*.f64 (pow.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (exp.f64 -15/2) (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) z))) 3) (pow.f64 (*.f64 2 (PI.f64)) 3/2))) |
(expm1.f64 (log1p.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) 1106209385320415913103082059/4200000000000000000000000) (/.f64 (exp.f64 -15/2) z)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))) |
(log1p.f64 (expm1.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) 1106209385320415913103082059/4200000000000000000000000) (/.f64 (exp.f64 -15/2) z)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))) |
(exp.f64 (fma.f64 1/2 (log.f64 (*.f64 2 (PI.f64))) (+.f64 -15/2 (log.f64 (*.f64 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) z) 1106209385320415913103082059/4200000000000000000000000))))) |
(exp.f64 (*.f64 (fma.f64 1/2 (log.f64 (*.f64 2 (PI.f64))) (+.f64 -15/2 (log.f64 (*.f64 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) z) 1106209385320415913103082059/4200000000000000000000000)))) 1)) |
| Outputs |
|---|
(*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) z)) |
(*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) (/.f64 z (sqrt.f64 15/2)))) |
(*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z)) (sqrt.f64 15/2)) |
(+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) z)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (exp.f64 -15/2) (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (sqrt.f64 15/2))))) |
(*.f64 1106209385320415913103082059/4200000000000000000000000 (fma.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (fma.f64 -1 (log.f64 15/2) -1/15)) (/.f64 (exp.f64 -15/2) (/.f64 z (sqrt.f64 15/2))))) |
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 15/2) (+.f64 (/.f64 (exp.f64 -15/2) z) (*.f64 (exp.f64 -15/2) (-.f64 -1/15 (log.f64 15/2)))))) |
(+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) z)) (+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (exp.f64 -15/2) (*.f64 (+.f64 29/225 (*.f64 1/2 (pow.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) 2))) (*.f64 (sqrt.f64 15/2) z)))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (exp.f64 -15/2) (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (sqrt.f64 15/2)))))) |
(fma.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) (/.f64 z (sqrt.f64 15/2))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (+.f64 (*.f64 (exp.f64 -15/2) (*.f64 (+.f64 29/225 (*.f64 1/2 (pow.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 2))) (*.f64 (sqrt.f64 15/2) z))) (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (fma.f64 -1 (log.f64 15/2) -1/15)))))) |
(*.f64 1106209385320415913103082059/4200000000000000000000000 (+.f64 (/.f64 (exp.f64 -15/2) (/.f64 z (sqrt.f64 15/2))) (*.f64 (exp.f64 -15/2) (+.f64 (*.f64 (sqrt.f64 15/2) (*.f64 z (fma.f64 1/2 (pow.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 2) 29/225))) (*.f64 (sqrt.f64 15/2) (fma.f64 -1 (log.f64 15/2) -1/15)))))) |
(*.f64 1106209385320415913103082059/4200000000000000000000000 (+.f64 (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 15/2)) (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (+.f64 (*.f64 (fma.f64 1/2 (pow.f64 (-.f64 -1/15 (log.f64 15/2)) 2) 29/225) z) (-.f64 -1/15 (log.f64 15/2))))))) |
(+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) z)) (+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (exp.f64 -15/2) (*.f64 (+.f64 29/225 (*.f64 1/2 (pow.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) 2))) (*.f64 (sqrt.f64 15/2) z)))) (+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (*.f64 (pow.f64 z 2) (+.f64 (*.f64 29/225 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15)) (+.f64 86/10125 (*.f64 1/6 (pow.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) 3)))))))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (exp.f64 -15/2) (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (sqrt.f64 15/2))))))) |
(fma.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) (/.f64 z (sqrt.f64 15/2))) (fma.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (exp.f64 -15/2) (*.f64 (+.f64 29/225 (*.f64 1/2 (pow.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 2))) (*.f64 (sqrt.f64 15/2) z))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (+.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (*.f64 (*.f64 z z) (fma.f64 29/225 (fma.f64 -1 (log.f64 15/2) -1/15) (+.f64 86/10125 (*.f64 1/6 (pow.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 3))))))) (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (fma.f64 -1 (log.f64 15/2) -1/15))))))) |
(+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (exp.f64 -15/2) (+.f64 (*.f64 (sqrt.f64 15/2) (*.f64 (*.f64 z z) (fma.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 29/225 (fma.f64 1/6 (pow.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 3) 86/10125)))) (*.f64 (sqrt.f64 15/2) (*.f64 z (fma.f64 1/2 (pow.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 2) 29/225)))))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (fma.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (fma.f64 -1 (log.f64 15/2) -1/15)) (/.f64 (exp.f64 -15/2) (/.f64 z (sqrt.f64 15/2)))))) |
(*.f64 1106209385320415913103082059/4200000000000000000000000 (+.f64 (*.f64 (sqrt.f64 15/2) (+.f64 (/.f64 (exp.f64 -15/2) z) (*.f64 (exp.f64 -15/2) (-.f64 -1/15 (log.f64 15/2))))) (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (*.f64 z (fma.f64 1/2 (pow.f64 (-.f64 -1/15 (log.f64 15/2)) 2) 29/225)) (*.f64 (*.f64 z z) (fma.f64 (-.f64 -1/15 (log.f64 15/2)) 29/225 (fma.f64 1/6 (pow.f64 (-.f64 -1/15 (log.f64 15/2)) 3) 86/10125))))))) |
(*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (exp.f64 -15/2) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) z)) |
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 (exp.f64 -15/2) z))) |
(*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (exp.f64 -15/2) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) z)) |
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 (exp.f64 -15/2) z))) |
(*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (exp.f64 -15/2) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) z)) |
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 (exp.f64 -15/2) z))) |
(*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (exp.f64 -15/2) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) z)) |
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 (exp.f64 -15/2) z))) |
(*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (exp.f64 -15/2) (exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2)))) z)) |
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 (exp.f64 -15/2) z))) |
(*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (exp.f64 -15/2) (exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2)))) z)) |
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 (exp.f64 -15/2) z))) |
(*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (exp.f64 -15/2) (exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2)))) z)) |
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 (exp.f64 -15/2) z))) |
(*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (exp.f64 -15/2) (exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2)))) z)) |
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 (exp.f64 -15/2) z))) |
(/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) z) |
(/.f64 (exp.f64 -15/2) (/.f64 z (sqrt.f64 15/2))) |
(*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 15/2)) |
(+.f64 (*.f64 (exp.f64 -15/2) (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (sqrt.f64 15/2))) (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) z)) |
(fma.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (fma.f64 -1 (log.f64 15/2) -1/15)) (/.f64 (exp.f64 -15/2) (/.f64 z (sqrt.f64 15/2)))) |
(*.f64 (sqrt.f64 15/2) (+.f64 (/.f64 (exp.f64 -15/2) z) (*.f64 (exp.f64 -15/2) (-.f64 -1/15 (log.f64 15/2))))) |
(+.f64 (*.f64 (exp.f64 -15/2) (*.f64 (+.f64 29/225 (*.f64 1/2 (pow.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) 2))) (*.f64 (sqrt.f64 15/2) z))) (+.f64 (*.f64 (exp.f64 -15/2) (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (sqrt.f64 15/2))) (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) z))) |
(fma.f64 (exp.f64 -15/2) (*.f64 (+.f64 29/225 (*.f64 1/2 (pow.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 2))) (*.f64 (sqrt.f64 15/2) z)) (fma.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (fma.f64 -1 (log.f64 15/2) -1/15)) (/.f64 (exp.f64 -15/2) (/.f64 z (sqrt.f64 15/2))))) |
(+.f64 (/.f64 (exp.f64 -15/2) (/.f64 z (sqrt.f64 15/2))) (*.f64 (exp.f64 -15/2) (+.f64 (*.f64 (sqrt.f64 15/2) (*.f64 z (fma.f64 1/2 (pow.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 2) 29/225))) (*.f64 (sqrt.f64 15/2) (fma.f64 -1 (log.f64 15/2) -1/15))))) |
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(/.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) 1106209385320415913103082059/4200000000000000000000000) (exp.f64 -15/2)) (/.f64 z (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) |
(*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (*.f64 2 (PI.f64)))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 (exp.f64 -15/2) z))) |
(/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 (/.f64 z (exp.f64 -15/2)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))) |
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 (exp.f64 -15/2) z)))) |
(/.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) 1106209385320415913103082059/4200000000000000000000000) 1) (/.f64 z (*.f64 (exp.f64 -15/2) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))) |
(*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (*.f64 2 (PI.f64)))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 (exp.f64 -15/2) z))) |
(/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 (/.f64 z (exp.f64 -15/2)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))) |
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 (exp.f64 -15/2) z)))) |
(/.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) 1106209385320415913103082059/4200000000000000000000000) (neg.f64 (exp.f64 -15/2))) (/.f64 (neg.f64 z) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) |
(*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (*.f64 2 (PI.f64)))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 (exp.f64 -15/2) z))) |
(/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 (/.f64 z (exp.f64 -15/2)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))) |
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 (exp.f64 -15/2) z)))) |
(pow.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) 1106209385320415913103082059/4200000000000000000000000) (/.f64 (exp.f64 -15/2) z)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) 1) |
(*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (*.f64 2 (PI.f64)))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 (exp.f64 -15/2) z))) |
(/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 (/.f64 z (exp.f64 -15/2)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))) |
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 (exp.f64 -15/2) z)))) |
(pow.f64 (pow.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) 1106209385320415913103082059/4200000000000000000000000) (/.f64 (exp.f64 -15/2) z)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) 3) 1/3) |
(*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (*.f64 2 (PI.f64)))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 (exp.f64 -15/2) z))) |
(/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 (/.f64 z (exp.f64 -15/2)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))) |
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 (exp.f64 -15/2) z)))) |
(pow.f64 (cbrt.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) 1106209385320415913103082059/4200000000000000000000000) (/.f64 (exp.f64 -15/2) z)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) 3) |
(*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (*.f64 2 (PI.f64)))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 (exp.f64 -15/2) z))) |
(/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 (/.f64 z (exp.f64 -15/2)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))) |
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 (exp.f64 -15/2) z)))) |
(pow.f64 (sqrt.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) 1106209385320415913103082059/4200000000000000000000000) (/.f64 (exp.f64 -15/2) z)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) 2) |
(*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (*.f64 2 (PI.f64)))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 (exp.f64 -15/2) z))) |
(/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 (/.f64 z (exp.f64 -15/2)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))) |
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 (exp.f64 -15/2) z)))) |
(sqrt.f64 (*.f64 (*.f64 2 (PI.f64)) (*.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (pow.f64 (*.f64 (exp.f64 -15/2) (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) z)) 2)))) |
(sqrt.f64 (*.f64 (*.f64 (*.f64 2 (PI.f64)) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000) (pow.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 (exp.f64 -15/2) z)) 2))) |
(sqrt.f64 (*.f64 (pow.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 (exp.f64 -15/2) z)) 2) (*.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/8820000000000000000000000000000000000000000000000))) |
(log.f64 (pow.f64 (pow.f64 (pow.f64 (exp.f64 (/.f64 (exp.f64 -15/2) z)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) 1106209385320415913103082059/4200000000000000000000000) (sqrt.f64 (*.f64 2 (PI.f64))))) |
(*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (*.f64 2 (PI.f64)))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 (exp.f64 -15/2) z))) |
(/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 (/.f64 z (exp.f64 -15/2)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))) |
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 (exp.f64 -15/2) z)))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) 1106209385320415913103082059/4200000000000000000000000) (/.f64 (exp.f64 -15/2) z)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))) |
(*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (*.f64 2 (PI.f64)))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 (exp.f64 -15/2) z))) |
(/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 (/.f64 z (exp.f64 -15/2)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))) |
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 (exp.f64 -15/2) z)))) |
(cbrt.f64 (pow.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) 1106209385320415913103082059/4200000000000000000000000) (/.f64 (exp.f64 -15/2) z)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) 3)) |
(*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (*.f64 2 (PI.f64)))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 (exp.f64 -15/2) z))) |
(/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 (/.f64 z (exp.f64 -15/2)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))) |
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 (exp.f64 -15/2) z)))) |
(cbrt.f64 (*.f64 (pow.f64 (*.f64 2 (PI.f64)) 3/2) (pow.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (exp.f64 -15/2) (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) z))) 3))) |
(cbrt.f64 (*.f64 (pow.f64 (*.f64 2 (PI.f64)) 3/2) (*.f64 1353667544463053517362301055662189939940116838557164185039425992840995977633531379/74088000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 (exp.f64 -15/2) z)) 3)))) |
(cbrt.f64 (*.f64 (pow.f64 (*.f64 2 (PI.f64)) 3/2) (*.f64 (pow.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 (exp.f64 -15/2) z)) 3) 1353667544463053517362301055662189939940116838557164185039425992840995977633531379/74088000000000000000000000000000000000000000000000000000000000000000000000))) |
(cbrt.f64 (*.f64 (pow.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (exp.f64 -15/2) (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) z))) 3) (pow.f64 (*.f64 2 (PI.f64)) 3/2))) |
(cbrt.f64 (*.f64 (pow.f64 (*.f64 2 (PI.f64)) 3/2) (*.f64 1353667544463053517362301055662189939940116838557164185039425992840995977633531379/74088000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 (exp.f64 -15/2) z)) 3)))) |
(cbrt.f64 (*.f64 (pow.f64 (*.f64 2 (PI.f64)) 3/2) (*.f64 (pow.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 (exp.f64 -15/2) z)) 3) 1353667544463053517362301055662189939940116838557164185039425992840995977633531379/74088000000000000000000000000000000000000000000000000000000000000000000000))) |
(expm1.f64 (log1p.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) 1106209385320415913103082059/4200000000000000000000000) (/.f64 (exp.f64 -15/2) z)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))) |
(*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (*.f64 2 (PI.f64)))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 (exp.f64 -15/2) z))) |
(/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 (/.f64 z (exp.f64 -15/2)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))) |
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 (exp.f64 -15/2) z)))) |
(log1p.f64 (expm1.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) 1106209385320415913103082059/4200000000000000000000000) (/.f64 (exp.f64 -15/2) z)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))) |
(*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (*.f64 2 (PI.f64)))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 (exp.f64 -15/2) z))) |
(/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 (/.f64 z (exp.f64 -15/2)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))) |
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 (exp.f64 -15/2) z)))) |
(exp.f64 (fma.f64 1/2 (log.f64 (*.f64 2 (PI.f64))) (+.f64 -15/2 (log.f64 (*.f64 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) z) 1106209385320415913103082059/4200000000000000000000000))))) |
(*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (*.f64 2 (PI.f64)))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 (exp.f64 -15/2) z))) |
(/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 (/.f64 z (exp.f64 -15/2)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))) |
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 (exp.f64 -15/2) z)))) |
(exp.f64 (*.f64 (fma.f64 1/2 (log.f64 (*.f64 2 (PI.f64))) (+.f64 -15/2 (log.f64 (*.f64 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) z) 1106209385320415913103082059/4200000000000000000000000)))) 1)) |
(*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (*.f64 2 (PI.f64)))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 (exp.f64 -15/2) z))) |
(/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 (/.f64 z (exp.f64 -15/2)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))) |
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 (exp.f64 -15/2) z)))) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.5b | (/.f64 (exp.f64 -15/2) z) | |
| ✓ | 0.7b | (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) 904816194325545171523082059/4200000000000000000000000) (/.f64 (exp.f64 -15/2) z)) |
| 1.0b | (sqrt.f64 (*.f64 (PI.f64) 2)) | |
| 1.1b | (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) |
Compiled 174 to 142 computations (18.4% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | z | @ | inf | (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) 904816194325545171523082059/4200000000000000000000000) (/.f64 (exp.f64 -15/2) z)) |
| 1.0ms | z | @ | 0 | (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) 904816194325545171523082059/4200000000000000000000000) (/.f64 (exp.f64 -15/2) z)) |
| 0.0ms | z | @ | -inf | (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) 904816194325545171523082059/4200000000000000000000000) (/.f64 (exp.f64 -15/2) z)) |
| 1× | batch-egg-rewrite |
| 400× | expm1-udef_binary64 |
| 399× | log1p-udef_binary64 |
| 354× | fma-neg_binary64 |
| 230× | add-sqr-sqrt_binary64 |
| 219× | add-log-exp_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 19 | 30 |
| 1 | 454 | 27 |
| 2 | 6509 | 27 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) 904816194325545171523082059/4200000000000000000000000) (/.f64 (exp.f64 -15/2) z)) |
| Outputs |
|---|
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(+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) 909016194325544373103082059/4200000000000000000000000) (/.f64 (exp.f64 -15/2) z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (-.f64 -15/2 (log.f64 z)) (log.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) 909016194325544373103082059/4200000000000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (+.f64 (-.f64 -15/2 (log.f64 z)) (log.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) 909016194325544373103082059/4200000000000000000000000))) 1)))))) |
| 1× | egg-herbie |
| 920× | fma-def_binary64 |
| 812× | div-sub_binary64 |
| 486× | associate-/l*_binary64 |
| 444× | associate-/r*_binary64 |
| 328× | associate-*l/_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 180 | 2304 |
| 1 | 555 | 2214 |
| 2 | 1943 | 2148 |
| 3 | 6375 | 2128 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z)) |
(+.f64 (*.f64 904338909853211/2500000000000 (exp.f64 -15/2)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z))) |
(+.f64 (*.f64 904338909853211/2500000000000 (exp.f64 -15/2)) (+.f64 (*.f64 2076511864126339/4000000000000 (*.f64 (exp.f64 -15/2) z)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z)))) |
(+.f64 (*.f64 23912966683069397/40000000000000 (*.f64 (exp.f64 -15/2) (pow.f64 z 2))) (+.f64 (*.f64 904338909853211/2500000000000 (exp.f64 -15/2)) (+.f64 (*.f64 2076511864126339/4000000000000 (*.f64 (exp.f64 -15/2) z)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z))))) |
(*.f64 909016194325544373103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z)) |
(+.f64 (*.f64 5826188486005177/10000000000000 (/.f64 (exp.f64 -15/2) (pow.f64 z 2))) (*.f64 909016194325544373103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z))) |
(+.f64 (*.f64 3683516130645841/2000000000000 (/.f64 (exp.f64 -15/2) (pow.f64 z 3))) (+.f64 (*.f64 5826188486005177/10000000000000 (/.f64 (exp.f64 -15/2) (pow.f64 z 2))) (*.f64 909016194325544373103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z)))) |
(+.f64 (*.f64 43600364987677261/10000000000000 (/.f64 (exp.f64 -15/2) (pow.f64 z 4))) (+.f64 (*.f64 3683516130645841/2000000000000 (/.f64 (exp.f64 -15/2) (pow.f64 z 3))) (+.f64 (*.f64 5826188486005177/10000000000000 (/.f64 (exp.f64 -15/2) (pow.f64 z 2))) (*.f64 909016194325544373103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z))))) |
(*.f64 909016194325544373103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z)) |
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(+.f64 (*.f64 3683516130645841/2000000000000 (/.f64 (exp.f64 -15/2) (pow.f64 z 3))) (+.f64 (*.f64 5826188486005177/10000000000000 (/.f64 (exp.f64 -15/2) (pow.f64 z 2))) (*.f64 909016194325544373103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z)))) |
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(+.f64 (*.f64 904816194325545171523082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z)) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (/.f64 (exp.f64 -15/2) z))) |
(+.f64 (*.f64 (/.f64 (exp.f64 -15/2) z) 9999999999998099/10000000000000000) (*.f64 (/.f64 (exp.f64 -15/2) z) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) 904816194325545171523082059/4200000000000000000000000)))) |
(+.f64 (*.f64 (/.f64 (exp.f64 -15/2) z) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))) (*.f64 (/.f64 (exp.f64 -15/2) z) 904816194325545171523082059/4200000000000000000000000)) |
(+.f64 (*.f64 (/.f64 (exp.f64 -15/2) z) 904816194325545171523082059/4200000000000000000000000) (*.f64 (/.f64 (exp.f64 -15/2) z) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) 909016194325544373103082059/4200000000000000000000000) (/.f64 (exp.f64 -15/2) z)))) 1) |
(/.f64 1 (/.f64 z (*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) 909016194325544373103082059/4200000000000000000000000) (exp.f64 -15/2)))) |
(/.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) 909016194325544373103082059/4200000000000000000000000) (/.f64 z (exp.f64 -15/2))) |
(/.f64 (+.f64 740766092391217101011289787789206588278794973629555817832593212700337417693531379/74088000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) 3)) (*.f64 (/.f64 z (exp.f64 -15/2)) (-.f64 (+.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) 2) 818692345513762722251164242250119809961989018447679481/17640000000000000000000000000000000000000000000000) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) 904816194325545171523082059/4200000000000000000000000)))) |
(/.f64 (+.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) 2) -818692345513762722251164242250119809961989018447679481/17640000000000000000000000000000000000000000000000) (*.f64 (/.f64 z (exp.f64 -15/2)) (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) -900616194325545969943082059/4200000000000000000000000))) |
(/.f64 (*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) 909016194325544373103082059/4200000000000000000000000) (exp.f64 -15/2)) z) |
(/.f64 (neg.f64 (*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) 909016194325544373103082059/4200000000000000000000000) (exp.f64 -15/2))) (neg.f64 z)) |
(/.f64 (*.f64 (+.f64 740766092391217101011289787789206588278794973629555817832593212700337417693531379/74088000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) 3)) 1) (*.f64 (-.f64 (+.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) 2) 818692345513762722251164242250119809961989018447679481/17640000000000000000000000000000000000000000000000) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) 904816194325545171523082059/4200000000000000000000000)) (/.f64 z (exp.f64 -15/2)))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) 2) -818692345513762722251164242250119809961989018447679481/17640000000000000000000000000000000000000000000000) 1) (*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) -900616194325545969943082059/4200000000000000000000000) (/.f64 z (exp.f64 -15/2)))) |
(/.f64 (*.f64 (+.f64 740766092391217101011289787789206588278794973629555817832593212700337417693531379/74088000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) 3)) (exp.f64 -15/2)) (*.f64 (-.f64 (+.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) 2) 818692345513762722251164242250119809961989018447679481/17640000000000000000000000000000000000000000000000) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) 904816194325545171523082059/4200000000000000000000000)) z)) |
(/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) 2) -818692345513762722251164242250119809961989018447679481/17640000000000000000000000000000000000000000000000) (exp.f64 -15/2)) (*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) -900616194325545969943082059/4200000000000000000000000) z)) |
(/.f64 (*.f64 (+.f64 740766092391217101011289787789206588278794973629555817832593212700337417693531379/74088000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) 3)) (neg.f64 (exp.f64 -15/2))) (*.f64 (-.f64 (+.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) 2) 818692345513762722251164242250119809961989018447679481/17640000000000000000000000000000000000000000000000) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) 904816194325545171523082059/4200000000000000000000000)) (neg.f64 z))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) 2) -818692345513762722251164242250119809961989018447679481/17640000000000000000000000000000000000000000000000) (neg.f64 (exp.f64 -15/2))) (*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) -900616194325545969943082059/4200000000000000000000000) (neg.f64 z))) |
(/.f64 (*.f64 (exp.f64 -15/2) (+.f64 740766092391217101011289787789206588278794973629555817832593212700337417693531379/74088000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) 3))) (*.f64 z (-.f64 (+.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) 2) 818692345513762722251164242250119809961989018447679481/17640000000000000000000000000000000000000000000000) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) 904816194325545171523082059/4200000000000000000000000)))) |
(/.f64 (*.f64 (neg.f64 (exp.f64 -15/2)) (+.f64 740766092391217101011289787789206588278794973629555817832593212700337417693531379/74088000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) 3))) (*.f64 (neg.f64 z) (-.f64 (+.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) 2) 818692345513762722251164242250119809961989018447679481/17640000000000000000000000000000000000000000000000) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) 904816194325545171523082059/4200000000000000000000000)))) |
(/.f64 (*.f64 (exp.f64 -15/2) (+.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) 2) -818692345513762722251164242250119809961989018447679481/17640000000000000000000000000000000000000000000000)) (*.f64 z (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) -900616194325545969943082059/4200000000000000000000000))) |
(/.f64 (*.f64 (neg.f64 (exp.f64 -15/2)) (+.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) 2) -818692345513762722251164242250119809961989018447679481/17640000000000000000000000000000000000000000000000)) (*.f64 (neg.f64 z) (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) -900616194325545969943082059/4200000000000000000000000))) |
(/.f64 (/.f64 (*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) 909016194325544373103082059/4200000000000000000000000) (exp.f64 -15/2)) 1) z) |
(/.f64 (/.f64 (*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) 909016194325544373103082059/4200000000000000000000000) (exp.f64 -15/2)) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z)) |
(/.f64 (/.f64 (*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) 909016194325544373103082059/4200000000000000000000000) (exp.f64 -15/2)) (sqrt.f64 z)) (sqrt.f64 z)) |
(/.f64 (*.f64 (+.f64 740766092391217101011289787789206588278794973629555817832593212700337417693531379/74088000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) 3)) (/.f64 (exp.f64 -15/2) z)) (-.f64 (+.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) 2) 818692345513762722251164242250119809961989018447679481/17640000000000000000000000000000000000000000000000) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) 904816194325545171523082059/4200000000000000000000000))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) 2) -818692345513762722251164242250119809961989018447679481/17640000000000000000000000000000000000000000000000) (/.f64 (exp.f64 -15/2) z)) (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) -900616194325545969943082059/4200000000000000000000000)) |
(/.f64 (*.f64 (neg.f64 (exp.f64 -15/2)) (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) 909016194325544373103082059/4200000000000000000000000)) (neg.f64 z)) |
(/.f64 (*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) 909016194325544373103082059/4200000000000000000000000) (neg.f64 (exp.f64 -15/2))) (neg.f64 z)) |
(/.f64 (*.f64 (/.f64 (exp.f64 -15/2) z) (+.f64 740766092391217101011289787789206588278794973629555817832593212700337417693531379/74088000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) 3))) (-.f64 (+.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) 2) 818692345513762722251164242250119809961989018447679481/17640000000000000000000000000000000000000000000000) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) 904816194325545171523082059/4200000000000000000000000))) |
(/.f64 (*.f64 (/.f64 (exp.f64 -15/2) z) (+.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) 2) -818692345513762722251164242250119809961989018447679481/17640000000000000000000000000000000000000000000000)) (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) -900616194325545969943082059/4200000000000000000000000)) |
(pow.f64 (*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) 909016194325544373103082059/4200000000000000000000000) (/.f64 (exp.f64 -15/2) z)) 1) |
(pow.f64 (pow.f64 (*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) 909016194325544373103082059/4200000000000000000000000) (/.f64 (exp.f64 -15/2) z)) 3) 1/3) |
(pow.f64 (cbrt.f64 (*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) 909016194325544373103082059/4200000000000000000000000) (/.f64 (exp.f64 -15/2) z))) 3) |
(pow.f64 (sqrt.f64 (*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) 909016194325544373103082059/4200000000000000000000000) (/.f64 (exp.f64 -15/2) z))) 2) |
(sqrt.f64 (pow.f64 (*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) 909016194325544373103082059/4200000000000000000000000) (/.f64 (exp.f64 -15/2) z)) 2)) |
(log.f64 (pow.f64 (exp.f64 (/.f64 (exp.f64 -15/2) z)) (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) 909016194325544373103082059/4200000000000000000000000))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) 909016194325544373103082059/4200000000000000000000000) (/.f64 (exp.f64 -15/2) z))))) |
(cbrt.f64 (pow.f64 (*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) 909016194325544373103082059/4200000000000000000000000) (/.f64 (exp.f64 -15/2) z)) 3)) |
(cbrt.f64 (*.f64 (pow.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) 909016194325544373103082059/4200000000000000000000000) 3) (pow.f64 (/.f64 (exp.f64 -15/2) z) 3))) |
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (exp.f64 -15/2) z) 3) (pow.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) 909016194325544373103082059/4200000000000000000000000) 3))) |
(expm1.f64 (log1p.f64 (*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) 909016194325544373103082059/4200000000000000000000000) (/.f64 (exp.f64 -15/2) z)))) |
(log1p.f64 (expm1.f64 (*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) 909016194325544373103082059/4200000000000000000000000) (/.f64 (exp.f64 -15/2) z)))) |
(exp.f64 (+.f64 (-.f64 -15/2 (log.f64 z)) (log.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) 909016194325544373103082059/4200000000000000000000000)))) |
(exp.f64 (*.f64 (+.f64 (-.f64 -15/2 (log.f64 z)) (log.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) 909016194325544373103082059/4200000000000000000000000))) 1)) |
| Outputs |
|---|
(*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z)) |
(/.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 z (exp.f64 15/2))) |
(+.f64 (*.f64 904338909853211/2500000000000 (exp.f64 -15/2)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z))) |
(fma.f64 904338909853211/2500000000000 (exp.f64 -15/2) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z))) |
(fma.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z) (*.f64 (exp.f64 -15/2) 904338909853211/2500000000000)) |
(+.f64 (*.f64 904338909853211/2500000000000 (exp.f64 -15/2)) (+.f64 (*.f64 2076511864126339/4000000000000 (*.f64 (exp.f64 -15/2) z)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z)))) |
(fma.f64 904338909853211/2500000000000 (exp.f64 -15/2) (fma.f64 2076511864126339/4000000000000 (*.f64 (exp.f64 -15/2) z) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z)))) |
(fma.f64 (exp.f64 -15/2) 904338909853211/2500000000000 (fma.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z) (*.f64 (exp.f64 -15/2) (*.f64 z 2076511864126339/4000000000000)))) |
(fma.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z) (*.f64 (exp.f64 -15/2) (+.f64 904338909853211/2500000000000 (*.f64 z 2076511864126339/4000000000000)))) |
(fma.f64 (exp.f64 -15/2) (fma.f64 z 2076511864126339/4000000000000 904338909853211/2500000000000) (/.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 z (exp.f64 15/2)))) |
(+.f64 (*.f64 23912966683069397/40000000000000 (*.f64 (exp.f64 -15/2) (pow.f64 z 2))) (+.f64 (*.f64 904338909853211/2500000000000 (exp.f64 -15/2)) (+.f64 (*.f64 2076511864126339/4000000000000 (*.f64 (exp.f64 -15/2) z)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z))))) |
(fma.f64 23912966683069397/40000000000000 (*.f64 (exp.f64 -15/2) (*.f64 z z)) (fma.f64 904338909853211/2500000000000 (exp.f64 -15/2) (fma.f64 2076511864126339/4000000000000 (*.f64 (exp.f64 -15/2) z) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z))))) |
(fma.f64 23912966683069397/40000000000000 (*.f64 (exp.f64 -15/2) (*.f64 z z)) (fma.f64 (exp.f64 -15/2) 904338909853211/2500000000000 (fma.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z) (*.f64 (exp.f64 -15/2) (*.f64 z 2076511864126339/4000000000000))))) |
(fma.f64 (exp.f64 -15/2) (*.f64 23912966683069397/40000000000000 (*.f64 z z)) (fma.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z) (*.f64 (exp.f64 -15/2) (+.f64 904338909853211/2500000000000 (*.f64 z 2076511864126339/4000000000000))))) |
(fma.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z) (fma.f64 (exp.f64 -15/2) (fma.f64 23912966683069397/40000000000000 (*.f64 z z) 904338909853211/2500000000000) (*.f64 (exp.f64 -15/2) (*.f64 z 2076511864126339/4000000000000)))) |
(*.f64 909016194325544373103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z)) |
(*.f64 (/.f64 (exp.f64 -15/2) z) 909016194325544373103082059/4200000000000000000000000) |
(+.f64 (*.f64 5826188486005177/10000000000000 (/.f64 (exp.f64 -15/2) (pow.f64 z 2))) (*.f64 909016194325544373103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z))) |
(fma.f64 5826188486005177/10000000000000 (/.f64 (exp.f64 -15/2) (*.f64 z z)) (*.f64 (/.f64 (exp.f64 -15/2) z) 909016194325544373103082059/4200000000000000000000000)) |
(fma.f64 (/.f64 (exp.f64 -15/2) z) 909016194325544373103082059/4200000000000000000000000 (*.f64 5826188486005177/10000000000000 (/.f64 (exp.f64 -15/2) (*.f64 z z)))) |
(*.f64 (/.f64 (exp.f64 -15/2) z) (+.f64 909016194325544373103082059/4200000000000000000000000 (/.f64 5826188486005177/10000000000000 z))) |
(+.f64 (*.f64 3683516130645841/2000000000000 (/.f64 (exp.f64 -15/2) (pow.f64 z 3))) (+.f64 (*.f64 5826188486005177/10000000000000 (/.f64 (exp.f64 -15/2) (pow.f64 z 2))) (*.f64 909016194325544373103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z)))) |
(fma.f64 3683516130645841/2000000000000 (/.f64 (exp.f64 -15/2) (pow.f64 z 3)) (fma.f64 5826188486005177/10000000000000 (/.f64 (exp.f64 -15/2) (*.f64 z z)) (*.f64 (/.f64 (exp.f64 -15/2) z) 909016194325544373103082059/4200000000000000000000000))) |
(fma.f64 3683516130645841/2000000000000 (/.f64 (exp.f64 -15/2) (pow.f64 z 3)) (fma.f64 (/.f64 (exp.f64 -15/2) z) 909016194325544373103082059/4200000000000000000000000 (*.f64 5826188486005177/10000000000000 (/.f64 (exp.f64 -15/2) (*.f64 z z))))) |
(fma.f64 (/.f64 (exp.f64 -15/2) z) 909016194325544373103082059/4200000000000000000000000 (*.f64 (/.f64 (exp.f64 -15/2) (*.f64 z z)) (+.f64 5826188486005177/10000000000000 (/.f64 3683516130645841/2000000000000 z)))) |
(+.f64 (*.f64 43600364987677261/10000000000000 (/.f64 (exp.f64 -15/2) (pow.f64 z 4))) (+.f64 (*.f64 3683516130645841/2000000000000 (/.f64 (exp.f64 -15/2) (pow.f64 z 3))) (+.f64 (*.f64 5826188486005177/10000000000000 (/.f64 (exp.f64 -15/2) (pow.f64 z 2))) (*.f64 909016194325544373103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z))))) |
(fma.f64 43600364987677261/10000000000000 (/.f64 (exp.f64 -15/2) (pow.f64 z 4)) (fma.f64 3683516130645841/2000000000000 (/.f64 (exp.f64 -15/2) (pow.f64 z 3)) (fma.f64 5826188486005177/10000000000000 (/.f64 (exp.f64 -15/2) (*.f64 z z)) (*.f64 (/.f64 (exp.f64 -15/2) z) 909016194325544373103082059/4200000000000000000000000)))) |
(fma.f64 43600364987677261/10000000000000 (/.f64 (exp.f64 -15/2) (pow.f64 z 4)) (fma.f64 3683516130645841/2000000000000 (/.f64 (exp.f64 -15/2) (pow.f64 z 3)) (fma.f64 (/.f64 (exp.f64 -15/2) z) 909016194325544373103082059/4200000000000000000000000 (*.f64 5826188486005177/10000000000000 (/.f64 (exp.f64 -15/2) (*.f64 z z)))))) |
(fma.f64 3683516130645841/2000000000000 (/.f64 (exp.f64 -15/2) (pow.f64 z 3)) (fma.f64 43600364987677261/10000000000000 (/.f64 (exp.f64 -15/2) (pow.f64 z 4)) (*.f64 (/.f64 (exp.f64 -15/2) z) (+.f64 909016194325544373103082059/4200000000000000000000000 (/.f64 5826188486005177/10000000000000 z))))) |
(fma.f64 (/.f64 (exp.f64 -15/2) z) (+.f64 909016194325544373103082059/4200000000000000000000000 (/.f64 5826188486005177/10000000000000 z)) (fma.f64 3683516130645841/2000000000000 (/.f64 (exp.f64 -15/2) (pow.f64 z 3)) (*.f64 (/.f64 43600364987677261/10000000000000 (pow.f64 z 4)) (exp.f64 -15/2)))) |
(*.f64 909016194325544373103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z)) |
(*.f64 (/.f64 (exp.f64 -15/2) z) 909016194325544373103082059/4200000000000000000000000) |
(+.f64 (*.f64 5826188486005177/10000000000000 (/.f64 (exp.f64 -15/2) (pow.f64 z 2))) (*.f64 909016194325544373103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z))) |
(fma.f64 5826188486005177/10000000000000 (/.f64 (exp.f64 -15/2) (*.f64 z z)) (*.f64 (/.f64 (exp.f64 -15/2) z) 909016194325544373103082059/4200000000000000000000000)) |
(fma.f64 (/.f64 (exp.f64 -15/2) z) 909016194325544373103082059/4200000000000000000000000 (*.f64 5826188486005177/10000000000000 (/.f64 (exp.f64 -15/2) (*.f64 z z)))) |
(*.f64 (/.f64 (exp.f64 -15/2) z) (+.f64 909016194325544373103082059/4200000000000000000000000 (/.f64 5826188486005177/10000000000000 z))) |
(+.f64 (*.f64 3683516130645841/2000000000000 (/.f64 (exp.f64 -15/2) (pow.f64 z 3))) (+.f64 (*.f64 5826188486005177/10000000000000 (/.f64 (exp.f64 -15/2) (pow.f64 z 2))) (*.f64 909016194325544373103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z)))) |
(fma.f64 3683516130645841/2000000000000 (/.f64 (exp.f64 -15/2) (pow.f64 z 3)) (fma.f64 5826188486005177/10000000000000 (/.f64 (exp.f64 -15/2) (*.f64 z z)) (*.f64 (/.f64 (exp.f64 -15/2) z) 909016194325544373103082059/4200000000000000000000000))) |
(fma.f64 3683516130645841/2000000000000 (/.f64 (exp.f64 -15/2) (pow.f64 z 3)) (fma.f64 (/.f64 (exp.f64 -15/2) z) 909016194325544373103082059/4200000000000000000000000 (*.f64 5826188486005177/10000000000000 (/.f64 (exp.f64 -15/2) (*.f64 z z))))) |
(fma.f64 (/.f64 (exp.f64 -15/2) z) 909016194325544373103082059/4200000000000000000000000 (*.f64 (/.f64 (exp.f64 -15/2) (*.f64 z z)) (+.f64 5826188486005177/10000000000000 (/.f64 3683516130645841/2000000000000 z)))) |
(+.f64 (*.f64 43600364987677261/10000000000000 (/.f64 (exp.f64 -15/2) (pow.f64 z 4))) (+.f64 (*.f64 3683516130645841/2000000000000 (/.f64 (exp.f64 -15/2) (pow.f64 z 3))) (+.f64 (*.f64 5826188486005177/10000000000000 (/.f64 (exp.f64 -15/2) (pow.f64 z 2))) (*.f64 909016194325544373103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z))))) |
(fma.f64 43600364987677261/10000000000000 (/.f64 (exp.f64 -15/2) (pow.f64 z 4)) (fma.f64 3683516130645841/2000000000000 (/.f64 (exp.f64 -15/2) (pow.f64 z 3)) (fma.f64 5826188486005177/10000000000000 (/.f64 (exp.f64 -15/2) (*.f64 z z)) (*.f64 (/.f64 (exp.f64 -15/2) z) 909016194325544373103082059/4200000000000000000000000)))) |
(fma.f64 43600364987677261/10000000000000 (/.f64 (exp.f64 -15/2) (pow.f64 z 4)) (fma.f64 3683516130645841/2000000000000 (/.f64 (exp.f64 -15/2) (pow.f64 z 3)) (fma.f64 (/.f64 (exp.f64 -15/2) z) 909016194325544373103082059/4200000000000000000000000 (*.f64 5826188486005177/10000000000000 (/.f64 (exp.f64 -15/2) (*.f64 z z)))))) |
(fma.f64 3683516130645841/2000000000000 (/.f64 (exp.f64 -15/2) (pow.f64 z 3)) (fma.f64 43600364987677261/10000000000000 (/.f64 (exp.f64 -15/2) (pow.f64 z 4)) (*.f64 (/.f64 (exp.f64 -15/2) z) (+.f64 909016194325544373103082059/4200000000000000000000000 (/.f64 5826188486005177/10000000000000 z))))) |
(fma.f64 (/.f64 (exp.f64 -15/2) z) (+.f64 909016194325544373103082059/4200000000000000000000000 (/.f64 5826188486005177/10000000000000 z)) (fma.f64 3683516130645841/2000000000000 (/.f64 (exp.f64 -15/2) (pow.f64 z 3)) (*.f64 (/.f64 43600364987677261/10000000000000 (pow.f64 z 4)) (exp.f64 -15/2)))) |
(+.f64 (*.f64 9999999999998099/10000000000000000 (/.f64 (exp.f64 -15/2) z)) (*.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) 904816194325545171523082059/4200000000000000000000000)) (/.f64 (exp.f64 -15/2) z))) |
(*.f64 (/.f64 (exp.f64 -15/2) z) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) 904816194325545171523082059/4200000000000000000000000)))) |
(*.f64 (exp.f64 -15/2) (/.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 909016194325544373103082059/4200000000000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) z)) |
(+.f64 (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (/.f64 (exp.f64 -15/2) z)) (*.f64 904816194325545171523082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z))) |
(*.f64 (/.f64 (exp.f64 -15/2) z) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) 904816194325545171523082059/4200000000000000000000000)))) |
(*.f64 (exp.f64 -15/2) (/.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 909016194325544373103082059/4200000000000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) z)) |
(+.f64 (*.f64 904816194325545171523082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z)) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (/.f64 (exp.f64 -15/2) z))) |
(*.f64 (/.f64 (exp.f64 -15/2) z) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) 904816194325545171523082059/4200000000000000000000000)))) |
(*.f64 (exp.f64 -15/2) (/.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 909016194325544373103082059/4200000000000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) z)) |
(+.f64 (*.f64 (/.f64 (exp.f64 -15/2) z) 9999999999998099/10000000000000000) (*.f64 (/.f64 (exp.f64 -15/2) z) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) 904816194325545171523082059/4200000000000000000000000)))) |
(*.f64 (/.f64 (exp.f64 -15/2) z) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) 904816194325545171523082059/4200000000000000000000000)))) |
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(*.f64 (exp.f64 -15/2) (/.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 909016194325544373103082059/4200000000000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) z)) |
(pow.f64 (pow.f64 (*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) 909016194325544373103082059/4200000000000000000000000) (/.f64 (exp.f64 -15/2) z)) 3) 1/3) |
(*.f64 (/.f64 (exp.f64 -15/2) z) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) 904816194325545171523082059/4200000000000000000000000)))) |
(*.f64 (exp.f64 -15/2) (/.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 909016194325544373103082059/4200000000000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) z)) |
(pow.f64 (cbrt.f64 (*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) 909016194325544373103082059/4200000000000000000000000) (/.f64 (exp.f64 -15/2) z))) 3) |
(*.f64 (/.f64 (exp.f64 -15/2) z) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) 904816194325545171523082059/4200000000000000000000000)))) |
(*.f64 (exp.f64 -15/2) (/.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 909016194325544373103082059/4200000000000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) z)) |
(pow.f64 (sqrt.f64 (*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) 909016194325544373103082059/4200000000000000000000000) (/.f64 (exp.f64 -15/2) z))) 2) |
(*.f64 (/.f64 (exp.f64 -15/2) z) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) 904816194325545171523082059/4200000000000000000000000)))) |
(*.f64 (exp.f64 -15/2) (/.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 909016194325544373103082059/4200000000000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) z)) |
(sqrt.f64 (pow.f64 (*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) 909016194325544373103082059/4200000000000000000000000) (/.f64 (exp.f64 -15/2) z)) 2)) |
(*.f64 (/.f64 (exp.f64 -15/2) z) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) 904816194325545171523082059/4200000000000000000000000)))) |
(*.f64 (exp.f64 -15/2) (/.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 909016194325544373103082059/4200000000000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) z)) |
(log.f64 (pow.f64 (exp.f64 (/.f64 (exp.f64 -15/2) z)) (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) 909016194325544373103082059/4200000000000000000000000))) |
(*.f64 (/.f64 (exp.f64 -15/2) z) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) 904816194325545171523082059/4200000000000000000000000)))) |
(*.f64 (exp.f64 -15/2) (/.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 909016194325544373103082059/4200000000000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) z)) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) 909016194325544373103082059/4200000000000000000000000) (/.f64 (exp.f64 -15/2) z))))) |
(*.f64 (/.f64 (exp.f64 -15/2) z) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) 904816194325545171523082059/4200000000000000000000000)))) |
(*.f64 (exp.f64 -15/2) (/.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 909016194325544373103082059/4200000000000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) z)) |
(cbrt.f64 (pow.f64 (*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) 909016194325544373103082059/4200000000000000000000000) (/.f64 (exp.f64 -15/2) z)) 3)) |
(*.f64 (/.f64 (exp.f64 -15/2) z) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) 904816194325545171523082059/4200000000000000000000000)))) |
(*.f64 (exp.f64 -15/2) (/.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 909016194325544373103082059/4200000000000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) z)) |
(cbrt.f64 (*.f64 (pow.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) 909016194325544373103082059/4200000000000000000000000) 3) (pow.f64 (/.f64 (exp.f64 -15/2) z) 3))) |
(*.f64 (/.f64 (exp.f64 -15/2) z) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) 904816194325545171523082059/4200000000000000000000000)))) |
(*.f64 (exp.f64 -15/2) (/.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 909016194325544373103082059/4200000000000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) z)) |
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (exp.f64 -15/2) z) 3) (pow.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) 909016194325544373103082059/4200000000000000000000000) 3))) |
(*.f64 (/.f64 (exp.f64 -15/2) z) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) 904816194325545171523082059/4200000000000000000000000)))) |
(*.f64 (exp.f64 -15/2) (/.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 909016194325544373103082059/4200000000000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) z)) |
(expm1.f64 (log1p.f64 (*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) 909016194325544373103082059/4200000000000000000000000) (/.f64 (exp.f64 -15/2) z)))) |
(*.f64 (/.f64 (exp.f64 -15/2) z) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) 904816194325545171523082059/4200000000000000000000000)))) |
(*.f64 (exp.f64 -15/2) (/.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 909016194325544373103082059/4200000000000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) z)) |
(log1p.f64 (expm1.f64 (*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) 909016194325544373103082059/4200000000000000000000000) (/.f64 (exp.f64 -15/2) z)))) |
(*.f64 (/.f64 (exp.f64 -15/2) z) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) 904816194325545171523082059/4200000000000000000000000)))) |
(*.f64 (exp.f64 -15/2) (/.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 909016194325544373103082059/4200000000000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) z)) |
(exp.f64 (+.f64 (-.f64 -15/2 (log.f64 z)) (log.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) 909016194325544373103082059/4200000000000000000000000)))) |
(*.f64 (/.f64 (exp.f64 -15/2) z) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) 904816194325545171523082059/4200000000000000000000000)))) |
(*.f64 (exp.f64 -15/2) (/.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 909016194325544373103082059/4200000000000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) z)) |
(exp.f64 (*.f64 (+.f64 (-.f64 -15/2 (log.f64 z)) (log.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) 909016194325544373103082059/4200000000000000000000000))) 1)) |
(*.f64 (/.f64 (exp.f64 -15/2) z) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) 904816194325545171523082059/4200000000000000000000000)))) |
(*.f64 (exp.f64 -15/2) (/.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 909016194325544373103082059/4200000000000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) z)) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.7b | (cbrt.f64 z) |
| ✓ | 0.7b | (*.f64 1106209385320415913103082059/4200000000000000000000000 (pow.f64 (/.f64 (exp.f64 -5/2) (cbrt.f64 z)) 3)) |
| ✓ | 0.7b | (pow.f64 (/.f64 (exp.f64 -5/2) (cbrt.f64 z)) 3) |
| 1.0b | (sqrt.f64 (*.f64 (PI.f64) 2)) |
Compiled 93 to 70 computations (24.7% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | z | @ | -inf | (*.f64 1106209385320415913103082059/4200000000000000000000000 (pow.f64 (/.f64 (exp.f64 -5/2) (cbrt.f64 z)) 3)) |
| 2.0ms | z | @ | -inf | (pow.f64 (/.f64 (exp.f64 -5/2) (cbrt.f64 z)) 3) |
| 1.0ms | z | @ | 0 | (pow.f64 (/.f64 (exp.f64 -5/2) (cbrt.f64 z)) 3) |
| 1.0ms | z | @ | 0 | (*.f64 1106209385320415913103082059/4200000000000000000000000 (pow.f64 (/.f64 (exp.f64 -5/2) (cbrt.f64 z)) 3)) |
| 1.0ms | z | @ | inf | (pow.f64 (/.f64 (exp.f64 -5/2) (cbrt.f64 z)) 3) |
| 1× | batch-egg-rewrite |
| 933× | pow1_binary64 |
| 884× | add-log-exp_binary64 |
| 884× | log1p-expm1-u_binary64 |
| 884× | expm1-log1p-u_binary64 |
| 99× | add-sqr-sqrt_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 28 |
| 1 | 213 | 18 |
| 2 | 2443 | 18 |
| 1× | node limit |
| Inputs |
|---|
(pow.f64 (/.f64 (exp.f64 -5/2) (cbrt.f64 z)) 3) |
(*.f64 1106209385320415913103082059/4200000000000000000000000 (pow.f64 (/.f64 (exp.f64 -5/2) (cbrt.f64 z)) 3)) |
(cbrt.f64 z) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (exp.f64 -15/2) z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 -5/2) (*.f64 (/.f64 1 (cbrt.f64 z)) (/.f64 (exp.f64 -5) (cbrt.f64 (*.f64 z z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (exp.f64 -5/2) (cbrt.f64 z)) (/.f64 (exp.f64 -5) (cbrt.f64 (*.f64 z z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (exp.f64 -15/2) z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (exp.f64 -15/2) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (exp.f64 -5) (cbrt.f64 (*.f64 z z))) (/.f64 (exp.f64 -5/2) (cbrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (exp.f64 -5) (cbrt.f64 (*.f64 z z)))) (*.f64 (cbrt.f64 (/.f64 (exp.f64 -5/2) (cbrt.f64 z))) (/.f64 (exp.f64 -5) (cbrt.f64 (*.f64 z z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (exp.f64 -5/2) (cbrt.f64 z))) (*.f64 (sqrt.f64 (/.f64 (exp.f64 -5/2) (cbrt.f64 z))) (/.f64 (exp.f64 -5) (cbrt.f64 (*.f64 z z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 -15/2) (pow.f64 (/.f64 1 (cbrt.f64 z)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 -15/2) (/.f64 1 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (exp.f64 -15/2) z)) (sqrt.f64 (/.f64 (exp.f64 -15/2) z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (exp.f64 -5) (cbrt.f64 (*.f64 z z)))) 3) (/.f64 (exp.f64 -5/2) (cbrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (/.f64 (exp.f64 -5/2) (cbrt.f64 z))) 3) (pow.f64 (sqrt.f64 (/.f64 (exp.f64 -5/2) (cbrt.f64 z))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (exp.f64 -5) (cbrt.f64 (*.f64 z z))) (exp.f64 -5/2)) (/.f64 1 (cbrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (exp.f64 -5) (cbrt.f64 (*.f64 z z))) 1) (/.f64 (exp.f64 -5/2) (cbrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (exp.f64 -5) (cbrt.f64 (*.f64 z z))) (cbrt.f64 (/.f64 (exp.f64 -5) (cbrt.f64 (*.f64 z z))))) (cbrt.f64 (/.f64 (exp.f64 -5/2) (cbrt.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (exp.f64 -5) (cbrt.f64 (*.f64 z z))) (sqrt.f64 (/.f64 (exp.f64 -5/2) (cbrt.f64 z)))) (sqrt.f64 (/.f64 (exp.f64 -5/2) (cbrt.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 z (exp.f64 -15/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (pow.f64 (/.f64 (cbrt.f64 z) (exp.f64 -5/2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (exp.f64 -5) (cbrt.f64 (*.f64 z z))) (/.f64 (cbrt.f64 z) (exp.f64 -5/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (exp.f64 -15/2) z)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (neg.f64 (exp.f64 -5/2)) 3) (pow.f64 (neg.f64 (cbrt.f64 z)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (exp.f64 -15/2)) (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (exp.f64 -5/2) (/.f64 (exp.f64 -5) (cbrt.f64 (*.f64 z z)))) (cbrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (exp.f64 -5/2)) (/.f64 (exp.f64 -5) (cbrt.f64 (*.f64 z z)))) (neg.f64 (cbrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (exp.f64 -5) (cbrt.f64 (*.f64 z z))) (exp.f64 -5/2)) (cbrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (exp.f64 -5) (cbrt.f64 (*.f64 z z))) 1) (/.f64 (cbrt.f64 z) (exp.f64 -5/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (exp.f64 -5) (cbrt.f64 (*.f64 z z))) (neg.f64 (exp.f64 -5/2))) (neg.f64 (cbrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (exp.f64 -15/2) z) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (exp.f64 -15/2) z)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (exp.f64 -15/2) z))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (exp.f64 -15/2) z) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (exp.f64 -15/2) z)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (exp.f64 -15/2) z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 -15/2 (log.f64 z))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 (exp.f64 -15/2) z) 1106209385320415913103082059/4200000000000000000000000))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (exp.f64 -15/2) 1106209385320415913103082059/4200000000000000000000000) z)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) z)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 (exp.f64 -15/2) z) 1106209385320415913103082059/4200000000000000000000000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 (exp.f64 -15/2) z) 1106209385320415913103082059/4200000000000000000000000) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 (exp.f64 -15/2) z) 1106209385320415913103082059/4200000000000000000000000)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 (exp.f64 -15/2) z) 1106209385320415913103082059/4200000000000000000000000)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (/.f64 (exp.f64 -15/2) z) 1106209385320415913103082059/4200000000000000000000000) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (/.f64 (exp.f64 -15/2) z)) 1106209385320415913103082059/4200000000000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 (exp.f64 -15/2) z) 1106209385320415913103082059/4200000000000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 (exp.f64 -15/2) z) 1106209385320415913103082059/4200000000000000000000000) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 (exp.f64 -15/2) z) 1106209385320415913103082059/4200000000000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 (exp.f64 -15/2) z) 1106209385320415913103082059/4200000000000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 1106209385320415913103082059/4200000000000000000000000) (-.f64 -15/2 (log.f64 z)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 z)) (cbrt.f64 (cbrt.f64 (*.f64 z z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (*.f64 z z))) (cbrt.f64 (cbrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 z 1/6) (pow.f64 z 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 z z)) 1/3) (cbrt.f64 (cbrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 z) 1/3) (pow.f64 (sqrt.f64 z) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 z 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 z)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 z 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (cbrt.f64 (*.f64 z z)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 z))))))) |
| 1× | egg-herbie |
| 730× | associate-*l/_binary64 |
| 556× | fma-def_binary64 |
| 554× | associate-*r/_binary64 |
| 250× | unswap-sqr_binary64 |
| 188× | *-commutative_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 154 | 910 |
| 1 | 368 | 742 |
| 2 | 1586 | 740 |
| 3 | 7400 | 740 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (pow.f64 (exp.f64 -5/2) 3) z)) |
(*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (pow.f64 (exp.f64 -5/2) 3) z)) |
(*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (pow.f64 (exp.f64 -5/2) 3) z)) |
(*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (pow.f64 (exp.f64 -5/2) 3) z)) |
(*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (pow.f64 (exp.f64 -5/2) 3) z)) |
(*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (pow.f64 (exp.f64 -5/2) 3) z)) |
(*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (pow.f64 (exp.f64 -5/2) 3) z)) |
(*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (pow.f64 (exp.f64 -5/2) 3) z)) |
(*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (pow.f64 (exp.f64 -5/2) 3) z)) |
(*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (pow.f64 (exp.f64 -5/2) 3) z)) |
(*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (pow.f64 (exp.f64 -5/2) 3) z)) |
(*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (pow.f64 (exp.f64 -5/2) 3) z)) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 (exp.f64 -15/2) z))) 1) |
(*.f64 (exp.f64 -5/2) (*.f64 (/.f64 1 (cbrt.f64 z)) (/.f64 (exp.f64 -5) (cbrt.f64 (*.f64 z z))))) |
(*.f64 (/.f64 (exp.f64 -5/2) (cbrt.f64 z)) (/.f64 (exp.f64 -5) (cbrt.f64 (*.f64 z z)))) |
(*.f64 (/.f64 (exp.f64 -15/2) z) 1) |
(*.f64 1 (/.f64 (exp.f64 -15/2) z)) |
(*.f64 (/.f64 (exp.f64 -5) (cbrt.f64 (*.f64 z z))) (/.f64 (exp.f64 -5/2) (cbrt.f64 z))) |
(*.f64 (cbrt.f64 (/.f64 (exp.f64 -5) (cbrt.f64 (*.f64 z z)))) (*.f64 (cbrt.f64 (/.f64 (exp.f64 -5/2) (cbrt.f64 z))) (/.f64 (exp.f64 -5) (cbrt.f64 (*.f64 z z))))) |
(*.f64 (sqrt.f64 (/.f64 (exp.f64 -5/2) (cbrt.f64 z))) (*.f64 (sqrt.f64 (/.f64 (exp.f64 -5/2) (cbrt.f64 z))) (/.f64 (exp.f64 -5) (cbrt.f64 (*.f64 z z))))) |
(*.f64 (exp.f64 -15/2) (pow.f64 (/.f64 1 (cbrt.f64 z)) 3)) |
(*.f64 (exp.f64 -15/2) (/.f64 1 z)) |
(*.f64 (sqrt.f64 (/.f64 (exp.f64 -15/2) z)) (sqrt.f64 (/.f64 (exp.f64 -15/2) z))) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (exp.f64 -5) (cbrt.f64 (*.f64 z z)))) 3) (/.f64 (exp.f64 -5/2) (cbrt.f64 z))) |
(*.f64 (pow.f64 (sqrt.f64 (/.f64 (exp.f64 -5/2) (cbrt.f64 z))) 3) (pow.f64 (sqrt.f64 (/.f64 (exp.f64 -5/2) (cbrt.f64 z))) 3)) |
(*.f64 (*.f64 (/.f64 (exp.f64 -5) (cbrt.f64 (*.f64 z z))) (exp.f64 -5/2)) (/.f64 1 (cbrt.f64 z))) |
(*.f64 (*.f64 (/.f64 (exp.f64 -5) (cbrt.f64 (*.f64 z z))) 1) (/.f64 (exp.f64 -5/2) (cbrt.f64 z))) |
(*.f64 (*.f64 (/.f64 (exp.f64 -5) (cbrt.f64 (*.f64 z z))) (cbrt.f64 (/.f64 (exp.f64 -5) (cbrt.f64 (*.f64 z z))))) (cbrt.f64 (/.f64 (exp.f64 -5/2) (cbrt.f64 z)))) |
(*.f64 (*.f64 (/.f64 (exp.f64 -5) (cbrt.f64 (*.f64 z z))) (sqrt.f64 (/.f64 (exp.f64 -5/2) (cbrt.f64 z)))) (sqrt.f64 (/.f64 (exp.f64 -5/2) (cbrt.f64 z)))) |
(/.f64 1 (/.f64 z (exp.f64 -15/2))) |
(/.f64 1 (pow.f64 (/.f64 (cbrt.f64 z) (exp.f64 -5/2)) 3)) |
(/.f64 (/.f64 (exp.f64 -5) (cbrt.f64 (*.f64 z z))) (/.f64 (cbrt.f64 z) (exp.f64 -5/2))) |
(/.f64 (exp.f64 -15/2) z) |
(/.f64 (pow.f64 (neg.f64 (exp.f64 -5/2)) 3) (pow.f64 (neg.f64 (cbrt.f64 z)) 3)) |
(/.f64 (neg.f64 (exp.f64 -15/2)) (neg.f64 z)) |
(/.f64 (*.f64 (exp.f64 -5/2) (/.f64 (exp.f64 -5) (cbrt.f64 (*.f64 z z)))) (cbrt.f64 z)) |
(/.f64 (*.f64 (neg.f64 (exp.f64 -5/2)) (/.f64 (exp.f64 -5) (cbrt.f64 (*.f64 z z)))) (neg.f64 (cbrt.f64 z))) |
(/.f64 (*.f64 (/.f64 (exp.f64 -5) (cbrt.f64 (*.f64 z z))) (exp.f64 -5/2)) (cbrt.f64 z)) |
(/.f64 (*.f64 (/.f64 (exp.f64 -5) (cbrt.f64 (*.f64 z z))) 1) (/.f64 (cbrt.f64 z) (exp.f64 -5/2))) |
(/.f64 (*.f64 (/.f64 (exp.f64 -5) (cbrt.f64 (*.f64 z z))) (neg.f64 (exp.f64 -5/2))) (neg.f64 (cbrt.f64 z))) |
(sqrt.f64 (pow.f64 (/.f64 (exp.f64 -15/2) z) 2)) |
(log.f64 (exp.f64 (/.f64 (exp.f64 -15/2) z))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (exp.f64 -15/2) z)))) |
(cbrt.f64 (pow.f64 (/.f64 (exp.f64 -15/2) z) 3)) |
(expm1.f64 (log1p.f64 (/.f64 (exp.f64 -15/2) z))) |
(log1p.f64 (expm1.f64 (/.f64 (exp.f64 -15/2) z))) |
(exp.f64 (-.f64 -15/2 (log.f64 z))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 (exp.f64 -15/2) z) 1106209385320415913103082059/4200000000000000000000000))) 1) |
(/.f64 (*.f64 (exp.f64 -15/2) 1106209385320415913103082059/4200000000000000000000000) z) |
(/.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) z) |
(pow.f64 (*.f64 (/.f64 (exp.f64 -15/2) z) 1106209385320415913103082059/4200000000000000000000000) 1) |
(pow.f64 (pow.f64 (*.f64 (/.f64 (exp.f64 -15/2) z) 1106209385320415913103082059/4200000000000000000000000) 3) 1/3) |
(pow.f64 (cbrt.f64 (*.f64 (/.f64 (exp.f64 -15/2) z) 1106209385320415913103082059/4200000000000000000000000)) 3) |
(pow.f64 (sqrt.f64 (*.f64 (/.f64 (exp.f64 -15/2) z) 1106209385320415913103082059/4200000000000000000000000)) 2) |
(sqrt.f64 (pow.f64 (*.f64 (/.f64 (exp.f64 -15/2) z) 1106209385320415913103082059/4200000000000000000000000) 2)) |
(log.f64 (pow.f64 (exp.f64 (/.f64 (exp.f64 -15/2) z)) 1106209385320415913103082059/4200000000000000000000000)) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 (exp.f64 -15/2) z) 1106209385320415913103082059/4200000000000000000000000)))) |
(cbrt.f64 (pow.f64 (*.f64 (/.f64 (exp.f64 -15/2) z) 1106209385320415913103082059/4200000000000000000000000) 3)) |
(expm1.f64 (log1p.f64 (*.f64 (/.f64 (exp.f64 -15/2) z) 1106209385320415913103082059/4200000000000000000000000))) |
(log1p.f64 (expm1.f64 (*.f64 (/.f64 (exp.f64 -15/2) z) 1106209385320415913103082059/4200000000000000000000000))) |
(exp.f64 (+.f64 (log.f64 1106209385320415913103082059/4200000000000000000000000) (-.f64 -15/2 (log.f64 z)))) |
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 z))) 1) |
(*.f64 (cbrt.f64 z) 1) |
(*.f64 1 (cbrt.f64 z)) |
(*.f64 (cbrt.f64 (cbrt.f64 z)) (cbrt.f64 (cbrt.f64 (*.f64 z z)))) |
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 z z))) (cbrt.f64 (cbrt.f64 z))) |
(*.f64 (pow.f64 z 1/6) (pow.f64 z 1/6)) |
(*.f64 (pow.f64 1 1/3) (cbrt.f64 z)) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 z z)) 1/3) (cbrt.f64 (cbrt.f64 z))) |
(*.f64 (pow.f64 (sqrt.f64 z) 1/3) (pow.f64 (sqrt.f64 z) 1/3)) |
(pow.f64 z 1/3) |
(pow.f64 (cbrt.f64 z) 1) |
(pow.f64 (cbrt.f64 (cbrt.f64 z)) 3) |
(pow.f64 (pow.f64 z 1/6) 2) |
(sqrt.f64 (cbrt.f64 (*.f64 z z))) |
(log.f64 (exp.f64 (cbrt.f64 z))) |
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 z)))) |
(expm1.f64 (log1p.f64 (cbrt.f64 z))) |
(log1p.f64 (expm1.f64 (cbrt.f64 z))) |
(exp.f64 (log.f64 (cbrt.f64 z))) |
| Outputs |
|---|
(*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (pow.f64 (exp.f64 -5/2) 3) z)) |
(*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z)) |
(*.f64 (exp.f64 -15/2) (/.f64 1106209385320415913103082059/4200000000000000000000000 z)) |
(*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (pow.f64 (exp.f64 -5/2) 3) z)) |
(*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z)) |
(*.f64 (exp.f64 -15/2) (/.f64 1106209385320415913103082059/4200000000000000000000000 z)) |
(*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (pow.f64 (exp.f64 -5/2) 3) z)) |
(*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z)) |
(*.f64 (exp.f64 -15/2) (/.f64 1106209385320415913103082059/4200000000000000000000000 z)) |
(*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (pow.f64 (exp.f64 -5/2) 3) z)) |
(*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z)) |
(*.f64 (exp.f64 -15/2) (/.f64 1106209385320415913103082059/4200000000000000000000000 z)) |
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(cbrt.f64 z) |
(exp.f64 (log.f64 (cbrt.f64 z))) |
(cbrt.f64 z) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.3b | (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) |
| ✓ | 0.4b | (/.f64 -4919378858736341/200000000000000 z) |
| 1.0b | (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))) | |
| 1.0b | (sqrt.f64 (*.f64 (PI.f64) 2)) |
Compiled 308 to 212 computations (31.2% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | z | @ | 0 | (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) |
| 0.0ms | z | @ | -inf | (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) |
| 0.0ms | z | @ | inf | (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) |
| 0.0ms | z | @ | 0 | (/.f64 -4919378858736341/200000000000000 z) |
| 0.0ms | z | @ | inf | (/.f64 -4919378858736341/200000000000000 z) |
| 1× | batch-egg-rewrite |
| 881× | pow1_binary64 |
| 818× | add-log-exp_binary64 |
| 818× | log1p-expm1-u_binary64 |
| 818× | expm1-log1p-u_binary64 |
| 801× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 15 |
| 1 | 171 | 15 |
| 2 | 2183 | 15 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 -4919378858736341/200000000000000 z) |
(/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 -4919378858736341/200000000000000 z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -4919378858736341/200000000000000 (/.f64 1 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -4919378858736341/200000000000000 z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 -4919378858736341/200000000000000 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 -4919378858736341/200000000000000 z)) (pow.f64 (cbrt.f64 (/.f64 -4919378858736341/200000000000000 z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 -4919378858736341/200000000000000 z)) 2) (cbrt.f64 (/.f64 -4919378858736341/200000000000000 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 -4919378858736341/200000000000000 z)) (sqrt.f64 (/.f64 -4919378858736341/200000000000000 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4919378858736341/200000000000000 (/.f64 1 (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 z) -4919378858736341/200000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 -4919378858736341/200000000000000 z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 -4919378858736341/200000000000000 z) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 -4919378858736341/200000000000000 z)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 -4919378858736341/200000000000000 z)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 z -200000000000000/4919378858736341) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 24200288355782064859899354068281/40000000000000000000000000000 (*.f64 z z)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 -4919378858736341/200000000000000 z)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 -4919378858736341/200000000000000 z) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 -4919378858736341/200000000000000 z)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 -4919378858736341/200000000000000 z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 -4919378858736341/200000000000000 z))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (PI.f64) (/.f64 1 (sin.f64 (*.f64 z (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))) (pow.f64 (cbrt.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))) 2) (cbrt.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (*.f64 (cbrt.f64 (PI.f64)) (/.f64 1 (sin.f64 (*.f64 z (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))) (sqrt.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) (/.f64 1 (sin.f64 (*.f64 z (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (PI.f64)) (/.f64 1 (neg.f64 (sin.f64 (*.f64 z (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sin.f64 (*.f64 z (PI.f64)))) (PI.f64))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) 1) (/.f64 (cbrt.f64 (PI.f64)) (sin.f64 (*.f64 z (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (PI.f64)) 1) (/.f64 (sqrt.f64 (PI.f64)) (sin.f64 (*.f64 z (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 z (PI.f64)))) 2)) (/.f64 (PI.f64) (cbrt.f64 (sin.f64 (*.f64 z (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 z (PI.f64)))) 2)) (cbrt.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (PI.f64)) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 z (PI.f64)))) 2)) (/.f64 (sqrt.f64 (PI.f64)) (cbrt.f64 (sin.f64 (*.f64 z (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (sin.f64 (*.f64 z (PI.f64))))) (/.f64 (PI.f64) (sqrt.f64 (sin.f64 (*.f64 z (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (sqrt.f64 (sin.f64 (*.f64 z (PI.f64))))) (/.f64 (cbrt.f64 (PI.f64)) (sqrt.f64 (sin.f64 (*.f64 z (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sin.f64 (*.f64 z (PI.f64))) (PI.f64)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (PI.f64) (neg.f64 (sin.f64 (*.f64 z (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 (sin.f64 (*.f64 z (PI.f64))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))))))))) |
| 1× | egg-herbie |
| 579× | log-prod_binary64 |
| 484× | fma-neg_binary64 |
| 432× | log-div_binary64 |
| 360× | unswap-sqr_binary64 |
| 354× | fma-def_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 154 | 841 |
| 1 | 379 | 762 |
| 2 | 1366 | 701 |
| 3 | 6039 | 679 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 1 z) |
(+.f64 (*.f64 1/6 (*.f64 z (pow.f64 (PI.f64) 2))) (/.f64 1 z)) |
(+.f64 (*.f64 1/6 (*.f64 z (pow.f64 (PI.f64) 2))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 1/120 (pow.f64 (PI.f64) 4)) (*.f64 -1/36 (pow.f64 (PI.f64) 4))) (pow.f64 z 3))) (/.f64 1 z))) |
(+.f64 (*.f64 -1 (*.f64 (pow.f64 z 5) (+.f64 (*.f64 1/6 (*.f64 (+.f64 (*.f64 1/120 (pow.f64 (PI.f64) 4)) (*.f64 -1/36 (pow.f64 (PI.f64) 4))) (pow.f64 (PI.f64) 2))) (+.f64 (*.f64 -1/5040 (pow.f64 (PI.f64) 6)) (*.f64 1/720 (pow.f64 (PI.f64) 6)))))) (+.f64 (*.f64 1/6 (*.f64 z (pow.f64 (PI.f64) 2))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 1/120 (pow.f64 (PI.f64) 4)) (*.f64 -1/36 (pow.f64 (PI.f64) 4))) (pow.f64 z 3))) (/.f64 1 z)))) |
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) |
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) |
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) |
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) |
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) |
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) |
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) |
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) |
(-.f64 (+.f64 1 (/.f64 -4919378858736341/200000000000000 z)) 1) |
(*.f64 -4919378858736341/200000000000000 (/.f64 1 z)) |
(*.f64 (/.f64 -4919378858736341/200000000000000 z) 1) |
(*.f64 1 (/.f64 -4919378858736341/200000000000000 z)) |
(*.f64 (cbrt.f64 (/.f64 -4919378858736341/200000000000000 z)) (pow.f64 (cbrt.f64 (/.f64 -4919378858736341/200000000000000 z)) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 -4919378858736341/200000000000000 z)) 2) (cbrt.f64 (/.f64 -4919378858736341/200000000000000 z))) |
(*.f64 (sqrt.f64 (/.f64 -4919378858736341/200000000000000 z)) (sqrt.f64 (/.f64 -4919378858736341/200000000000000 z))) |
(*.f64 4919378858736341/200000000000000 (/.f64 1 (neg.f64 z))) |
(*.f64 (/.f64 1 z) -4919378858736341/200000000000000) |
(pow.f64 (/.f64 -4919378858736341/200000000000000 z) 1) |
(pow.f64 (pow.f64 (/.f64 -4919378858736341/200000000000000 z) 3) 1/3) |
(pow.f64 (cbrt.f64 (/.f64 -4919378858736341/200000000000000 z)) 3) |
(pow.f64 (sqrt.f64 (/.f64 -4919378858736341/200000000000000 z)) 2) |
(pow.f64 (*.f64 z -200000000000000/4919378858736341) -1) |
(sqrt.f64 (/.f64 24200288355782064859899354068281/40000000000000000000000000000 (*.f64 z z))) |
(log.f64 (exp.f64 (/.f64 -4919378858736341/200000000000000 z))) |
(cbrt.f64 (pow.f64 (/.f64 -4919378858736341/200000000000000 z) 3)) |
(expm1.f64 (log1p.f64 (/.f64 -4919378858736341/200000000000000 z))) |
(log1p.f64 (expm1.f64 (/.f64 -4919378858736341/200000000000000 z))) |
(exp.f64 (log.f64 (/.f64 -4919378858736341/200000000000000 z))) |
(-.f64 (+.f64 1 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))) 1) |
(*.f64 (PI.f64) (/.f64 1 (sin.f64 (*.f64 z (PI.f64))))) |
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) 1) |
(*.f64 1 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))) |
(*.f64 (cbrt.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))) (pow.f64 (cbrt.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))) 2) (cbrt.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))))) |
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (*.f64 (cbrt.f64 (PI.f64)) (/.f64 1 (sin.f64 (*.f64 z (PI.f64)))))) |
(*.f64 (sqrt.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))) (sqrt.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))))) |
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) (/.f64 1 (sin.f64 (*.f64 z (PI.f64)))))) |
(*.f64 (neg.f64 (PI.f64)) (/.f64 1 (neg.f64 (sin.f64 (*.f64 z (PI.f64)))))) |
(*.f64 (/.f64 1 (sin.f64 (*.f64 z (PI.f64)))) (PI.f64)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) 1) (/.f64 (cbrt.f64 (PI.f64)) (sin.f64 (*.f64 z (PI.f64))))) |
(*.f64 (/.f64 (sqrt.f64 (PI.f64)) 1) (/.f64 (sqrt.f64 (PI.f64)) (sin.f64 (*.f64 z (PI.f64))))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 z (PI.f64)))) 2)) (/.f64 (PI.f64) (cbrt.f64 (sin.f64 (*.f64 z (PI.f64)))))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 z (PI.f64)))) 2)) (cbrt.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))))) |
(*.f64 (/.f64 (sqrt.f64 (PI.f64)) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 z (PI.f64)))) 2)) (/.f64 (sqrt.f64 (PI.f64)) (cbrt.f64 (sin.f64 (*.f64 z (PI.f64)))))) |
(*.f64 (/.f64 1 (sqrt.f64 (sin.f64 (*.f64 z (PI.f64))))) (/.f64 (PI.f64) (sqrt.f64 (sin.f64 (*.f64 z (PI.f64)))))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (sqrt.f64 (sin.f64 (*.f64 z (PI.f64))))) (/.f64 (cbrt.f64 (PI.f64)) (sqrt.f64 (sin.f64 (*.f64 z (PI.f64)))))) |
(pow.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) 1) |
(pow.f64 (pow.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) 3) 1/3) |
(pow.f64 (cbrt.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))) 3) |
(pow.f64 (sqrt.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))) 2) |
(pow.f64 (/.f64 (sin.f64 (*.f64 z (PI.f64))) (PI.f64)) -1) |
(neg.f64 (/.f64 (PI.f64) (neg.f64 (sin.f64 (*.f64 z (PI.f64)))))) |
(sqrt.f64 (pow.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) 2)) |
(log.f64 (exp.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))))) |
(cbrt.f64 (pow.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) 3)) |
(cbrt.f64 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 (sin.f64 (*.f64 z (PI.f64))) 3))) |
(expm1.f64 (log1p.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))))) |
(log1p.f64 (expm1.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))))) |
(exp.f64 (log.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))))) |
| Outputs |
|---|
(/.f64 1 z) |
(+.f64 (*.f64 1/6 (*.f64 z (pow.f64 (PI.f64) 2))) (/.f64 1 z)) |
(fma.f64 1/6 (*.f64 z (pow.f64 (PI.f64) 2)) (/.f64 1 z)) |
(fma.f64 z (*.f64 1/6 (pow.f64 (PI.f64) 2)) (/.f64 1 z)) |
(+.f64 (*.f64 1/6 (*.f64 z (pow.f64 (PI.f64) 2))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 1/120 (pow.f64 (PI.f64) 4)) (*.f64 -1/36 (pow.f64 (PI.f64) 4))) (pow.f64 z 3))) (/.f64 1 z))) |
(fma.f64 1/6 (*.f64 z (pow.f64 (PI.f64) 2)) (fma.f64 -1 (*.f64 (*.f64 (pow.f64 (PI.f64) 4) -7/360) (pow.f64 z 3)) (/.f64 1 z))) |
(fma.f64 1/6 (*.f64 z (pow.f64 (PI.f64) 2)) (-.f64 (/.f64 1 z) (*.f64 (pow.f64 (PI.f64) 4) (*.f64 -7/360 (pow.f64 z 3))))) |
(fma.f64 (pow.f64 z 3) (*.f64 (pow.f64 (PI.f64) 4) 7/360) (fma.f64 z (*.f64 1/6 (pow.f64 (PI.f64) 2)) (/.f64 1 z))) |
(+.f64 (*.f64 -1 (*.f64 (pow.f64 z 5) (+.f64 (*.f64 1/6 (*.f64 (+.f64 (*.f64 1/120 (pow.f64 (PI.f64) 4)) (*.f64 -1/36 (pow.f64 (PI.f64) 4))) (pow.f64 (PI.f64) 2))) (+.f64 (*.f64 -1/5040 (pow.f64 (PI.f64) 6)) (*.f64 1/720 (pow.f64 (PI.f64) 6)))))) (+.f64 (*.f64 1/6 (*.f64 z (pow.f64 (PI.f64) 2))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 1/120 (pow.f64 (PI.f64) 4)) (*.f64 -1/36 (pow.f64 (PI.f64) 4))) (pow.f64 z 3))) (/.f64 1 z)))) |
(fma.f64 -1 (*.f64 (pow.f64 z 5) (fma.f64 1/6 (*.f64 (pow.f64 (PI.f64) 2) (*.f64 (pow.f64 (PI.f64) 4) -7/360)) (*.f64 (pow.f64 (PI.f64) 6) 1/840))) (fma.f64 1/6 (*.f64 z (pow.f64 (PI.f64) 2)) (fma.f64 -1 (*.f64 (*.f64 (pow.f64 (PI.f64) 4) -7/360) (pow.f64 z 3)) (/.f64 1 z)))) |
(-.f64 (fma.f64 1/6 (*.f64 z (pow.f64 (PI.f64) 2)) (-.f64 (/.f64 1 z) (*.f64 (pow.f64 (PI.f64) 4) (*.f64 -7/360 (pow.f64 z 3))))) (*.f64 (pow.f64 z 5) (fma.f64 1/6 (*.f64 (pow.f64 (PI.f64) 6) -7/360) (*.f64 (pow.f64 (PI.f64) 6) 1/840)))) |
(-.f64 (fma.f64 (pow.f64 z 3) (*.f64 (pow.f64 (PI.f64) 4) 7/360) (fma.f64 z (*.f64 1/6 (pow.f64 (PI.f64) 2)) (/.f64 1 z))) (*.f64 (pow.f64 z 5) (fma.f64 1/6 (*.f64 (pow.f64 (PI.f64) 6) -7/360) (*.f64 (pow.f64 (PI.f64) 6) 1/840)))) |
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) |
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) |
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) |
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) |
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) |
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) |
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) |
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) |
(-.f64 (+.f64 1 (/.f64 -4919378858736341/200000000000000 z)) 1) |
(+.f64 1 (-.f64 (/.f64 -4919378858736341/200000000000000 z) 1)) |
(+.f64 (/.f64 -4919378858736341/200000000000000 z) 0) |
(/.f64 -4919378858736341/200000000000000 z) |
(*.f64 -4919378858736341/200000000000000 (/.f64 1 z)) |
(+.f64 1 (-.f64 (/.f64 -4919378858736341/200000000000000 z) 1)) |
(+.f64 (/.f64 -4919378858736341/200000000000000 z) 0) |
(/.f64 -4919378858736341/200000000000000 z) |
(*.f64 (/.f64 -4919378858736341/200000000000000 z) 1) |
(+.f64 1 (-.f64 (/.f64 -4919378858736341/200000000000000 z) 1)) |
(+.f64 (/.f64 -4919378858736341/200000000000000 z) 0) |
(/.f64 -4919378858736341/200000000000000 z) |
(*.f64 1 (/.f64 -4919378858736341/200000000000000 z)) |
(+.f64 1 (-.f64 (/.f64 -4919378858736341/200000000000000 z) 1)) |
(+.f64 (/.f64 -4919378858736341/200000000000000 z) 0) |
(/.f64 -4919378858736341/200000000000000 z) |
(*.f64 (cbrt.f64 (/.f64 -4919378858736341/200000000000000 z)) (pow.f64 (cbrt.f64 (/.f64 -4919378858736341/200000000000000 z)) 2)) |
(+.f64 1 (-.f64 (/.f64 -4919378858736341/200000000000000 z) 1)) |
(+.f64 (/.f64 -4919378858736341/200000000000000 z) 0) |
(/.f64 -4919378858736341/200000000000000 z) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 -4919378858736341/200000000000000 z)) 2) (cbrt.f64 (/.f64 -4919378858736341/200000000000000 z))) |
(+.f64 1 (-.f64 (/.f64 -4919378858736341/200000000000000 z) 1)) |
(+.f64 (/.f64 -4919378858736341/200000000000000 z) 0) |
(/.f64 -4919378858736341/200000000000000 z) |
(*.f64 (sqrt.f64 (/.f64 -4919378858736341/200000000000000 z)) (sqrt.f64 (/.f64 -4919378858736341/200000000000000 z))) |
(+.f64 1 (-.f64 (/.f64 -4919378858736341/200000000000000 z) 1)) |
(+.f64 (/.f64 -4919378858736341/200000000000000 z) 0) |
(/.f64 -4919378858736341/200000000000000 z) |
(*.f64 4919378858736341/200000000000000 (/.f64 1 (neg.f64 z))) |
(+.f64 1 (-.f64 (/.f64 -4919378858736341/200000000000000 z) 1)) |
(+.f64 (/.f64 -4919378858736341/200000000000000 z) 0) |
(/.f64 -4919378858736341/200000000000000 z) |
(*.f64 (/.f64 1 z) -4919378858736341/200000000000000) |
(+.f64 1 (-.f64 (/.f64 -4919378858736341/200000000000000 z) 1)) |
(+.f64 (/.f64 -4919378858736341/200000000000000 z) 0) |
(/.f64 -4919378858736341/200000000000000 z) |
(pow.f64 (/.f64 -4919378858736341/200000000000000 z) 1) |
(+.f64 1 (-.f64 (/.f64 -4919378858736341/200000000000000 z) 1)) |
(+.f64 (/.f64 -4919378858736341/200000000000000 z) 0) |
(/.f64 -4919378858736341/200000000000000 z) |
(pow.f64 (pow.f64 (/.f64 -4919378858736341/200000000000000 z) 3) 1/3) |
(+.f64 1 (-.f64 (/.f64 -4919378858736341/200000000000000 z) 1)) |
(+.f64 (/.f64 -4919378858736341/200000000000000 z) 0) |
(/.f64 -4919378858736341/200000000000000 z) |
(pow.f64 (cbrt.f64 (/.f64 -4919378858736341/200000000000000 z)) 3) |
(+.f64 1 (-.f64 (/.f64 -4919378858736341/200000000000000 z) 1)) |
(+.f64 (/.f64 -4919378858736341/200000000000000 z) 0) |
(/.f64 -4919378858736341/200000000000000 z) |
(pow.f64 (sqrt.f64 (/.f64 -4919378858736341/200000000000000 z)) 2) |
(+.f64 1 (-.f64 (/.f64 -4919378858736341/200000000000000 z) 1)) |
(+.f64 (/.f64 -4919378858736341/200000000000000 z) 0) |
(/.f64 -4919378858736341/200000000000000 z) |
(pow.f64 (*.f64 z -200000000000000/4919378858736341) -1) |
(+.f64 1 (-.f64 (/.f64 -4919378858736341/200000000000000 z) 1)) |
(+.f64 (/.f64 -4919378858736341/200000000000000 z) 0) |
(/.f64 -4919378858736341/200000000000000 z) |
(sqrt.f64 (/.f64 24200288355782064859899354068281/40000000000000000000000000000 (*.f64 z z))) |
(log.f64 (exp.f64 (/.f64 -4919378858736341/200000000000000 z))) |
(+.f64 1 (-.f64 (/.f64 -4919378858736341/200000000000000 z) 1)) |
(+.f64 (/.f64 -4919378858736341/200000000000000 z) 0) |
(/.f64 -4919378858736341/200000000000000 z) |
(cbrt.f64 (pow.f64 (/.f64 -4919378858736341/200000000000000 z) 3)) |
(+.f64 1 (-.f64 (/.f64 -4919378858736341/200000000000000 z) 1)) |
(+.f64 (/.f64 -4919378858736341/200000000000000 z) 0) |
(/.f64 -4919378858736341/200000000000000 z) |
(expm1.f64 (log1p.f64 (/.f64 -4919378858736341/200000000000000 z))) |
(+.f64 1 (-.f64 (/.f64 -4919378858736341/200000000000000 z) 1)) |
(+.f64 (/.f64 -4919378858736341/200000000000000 z) 0) |
(/.f64 -4919378858736341/200000000000000 z) |
(log1p.f64 (expm1.f64 (/.f64 -4919378858736341/200000000000000 z))) |
(+.f64 1 (-.f64 (/.f64 -4919378858736341/200000000000000 z) 1)) |
(+.f64 (/.f64 -4919378858736341/200000000000000 z) 0) |
(/.f64 -4919378858736341/200000000000000 z) |
(exp.f64 (log.f64 (/.f64 -4919378858736341/200000000000000 z))) |
(+.f64 1 (-.f64 (/.f64 -4919378858736341/200000000000000 z) 1)) |
(+.f64 (/.f64 -4919378858736341/200000000000000 z) 0) |
(/.f64 -4919378858736341/200000000000000 z) |
(-.f64 (+.f64 1 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))) 1) |
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) |
(*.f64 (PI.f64) (/.f64 1 (sin.f64 (*.f64 z (PI.f64))))) |
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) |
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) 1) |
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) |
(*.f64 1 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))) |
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) |
(*.f64 (cbrt.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))) (pow.f64 (cbrt.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))) 2)) |
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))) 2) (cbrt.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))))) |
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) |
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (*.f64 (cbrt.f64 (PI.f64)) (/.f64 1 (sin.f64 (*.f64 z (PI.f64)))))) |
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) |
(*.f64 (sqrt.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))) (sqrt.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))))) |
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) |
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) (/.f64 1 (sin.f64 (*.f64 z (PI.f64)))))) |
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) |
(*.f64 (neg.f64 (PI.f64)) (/.f64 1 (neg.f64 (sin.f64 (*.f64 z (PI.f64)))))) |
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) |
(*.f64 (/.f64 1 (sin.f64 (*.f64 z (PI.f64)))) (PI.f64)) |
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) 1) (/.f64 (cbrt.f64 (PI.f64)) (sin.f64 (*.f64 z (PI.f64))))) |
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) |
(*.f64 (/.f64 (sqrt.f64 (PI.f64)) 1) (/.f64 (sqrt.f64 (PI.f64)) (sin.f64 (*.f64 z (PI.f64))))) |
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 z (PI.f64)))) 2)) (/.f64 (PI.f64) (cbrt.f64 (sin.f64 (*.f64 z (PI.f64)))))) |
(/.f64 (/.f64 (PI.f64) (cbrt.f64 (sin.f64 (*.f64 z (PI.f64))))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 z (PI.f64)))) 2)) |
(/.f64 (PI.f64) (*.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 z (PI.f64)))) 2) (cbrt.f64 (sin.f64 (*.f64 z (PI.f64)))))) |
(/.f64 (PI.f64) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 z (PI.f64)))) 3)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 z (PI.f64)))) 2)) (cbrt.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))))) |
(*.f64 (cbrt.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))) (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 z (PI.f64)))) 2))) |
(/.f64 (*.f64 (cbrt.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))) (pow.f64 (cbrt.f64 (PI.f64)) 2)) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 z (PI.f64)))) 2)) |
(*.f64 (/.f64 (sqrt.f64 (PI.f64)) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 z (PI.f64)))) 2)) (/.f64 (sqrt.f64 (PI.f64)) (cbrt.f64 (sin.f64 (*.f64 z (PI.f64)))))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 z (PI.f64)))) 2)) (/.f64 (PI.f64) (cbrt.f64 (sin.f64 (*.f64 z (PI.f64)))))) |
(/.f64 (/.f64 (PI.f64) (cbrt.f64 (sin.f64 (*.f64 z (PI.f64))))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 z (PI.f64)))) 2)) |
(/.f64 (PI.f64) (*.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 z (PI.f64)))) 2) (cbrt.f64 (sin.f64 (*.f64 z (PI.f64)))))) |
(/.f64 (PI.f64) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 z (PI.f64)))) 3)) |
(*.f64 (/.f64 1 (sqrt.f64 (sin.f64 (*.f64 z (PI.f64))))) (/.f64 (PI.f64) (sqrt.f64 (sin.f64 (*.f64 z (PI.f64)))))) |
(/.f64 (/.f64 (PI.f64) (sqrt.f64 (sin.f64 (*.f64 z (PI.f64))))) (sqrt.f64 (sin.f64 (*.f64 z (PI.f64))))) |
(/.f64 (PI.f64) (*.f64 (sqrt.f64 (sin.f64 (*.f64 z (PI.f64)))) (sqrt.f64 (sin.f64 (*.f64 z (PI.f64)))))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (sqrt.f64 (sin.f64 (*.f64 z (PI.f64))))) (/.f64 (cbrt.f64 (PI.f64)) (sqrt.f64 (sin.f64 (*.f64 z (PI.f64)))))) |
(*.f64 (/.f64 1 (sqrt.f64 (sin.f64 (*.f64 z (PI.f64))))) (/.f64 (PI.f64) (sqrt.f64 (sin.f64 (*.f64 z (PI.f64)))))) |
(/.f64 (/.f64 (PI.f64) (sqrt.f64 (sin.f64 (*.f64 z (PI.f64))))) (sqrt.f64 (sin.f64 (*.f64 z (PI.f64))))) |
(/.f64 (PI.f64) (*.f64 (sqrt.f64 (sin.f64 (*.f64 z (PI.f64)))) (sqrt.f64 (sin.f64 (*.f64 z (PI.f64)))))) |
(pow.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) 1) |
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) |
(pow.f64 (pow.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) 3) 1/3) |
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) |
(pow.f64 (cbrt.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))) 3) |
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) |
(pow.f64 (sqrt.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))) 2) |
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) |
(pow.f64 (/.f64 (sin.f64 (*.f64 z (PI.f64))) (PI.f64)) -1) |
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) |
(neg.f64 (/.f64 (PI.f64) (neg.f64 (sin.f64 (*.f64 z (PI.f64)))))) |
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) |
(sqrt.f64 (pow.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) 2)) |
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) |
(log.f64 (exp.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))))) |
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) |
(cbrt.f64 (pow.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) 3)) |
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) |
(cbrt.f64 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 (sin.f64 (*.f64 z (PI.f64))) 3))) |
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) |
(expm1.f64 (log1p.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))))) |
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) |
(log1p.f64 (expm1.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))))) |
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) |
(exp.f64 (log.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))))) |
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) |
Compiled 54304 to 41931 computations (22.8% saved)
43 alts after pruning (42 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 976 | 24 | 1000 |
| Fresh | 11 | 18 | 29 |
| Picked | 1 | 0 | 1 |
| Done | 5 | 1 | 6 |
| Total | 993 | 43 | 1036 |
| Status | Error | Program |
|---|---|---|
| 1.8b | (/.f64 (*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (sqrt.f64 (*.f64 2 (PI.f64)))) (/.f64 z (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) | |
| 2.4b | (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 (/.f64 z (exp.f64 -15/2)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))) | |
| 2.1b | (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (/.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) z) (sqrt.f64 (*.f64 2 (PI.f64))))) | |
| 2.0b | (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z)) (sqrt.f64 (*.f64 2 (PI.f64))))) | |
| 1.7b | (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2) (+.f64 (-.f64 (-.f64 1 z) 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 8))))) | |
| 1.0b | (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))) | |
| 1.1b | (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 (+.f64 7902188421553103227/30000000000000000 (*.f64 39321001939258358983/90000000000000000 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))) | |
| 0.8b | (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2)))) (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (+.f64 371756020978964147/150000000000000000 (*.f64 z 446800080651085577/900000000000000000)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))))) | |
| 1.4b | (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2)))) (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)) (+.f64 (*.f64 7713234287776531/90000000000000 z) 7713234287776531/30000000000000))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (+.f64 371756020978964147/150000000000000000 (*.f64 z 446800080651085577/900000000000000000)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))))) | |
| 62.5b | (*.f64 (+.f64 (*.f64 1/6 (*.f64 z (pow.f64 (PI.f64) 2))) (/.f64 1 z)) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 (+.f64 (/.f64 6868447169803563/40000000000000 (*.f64 z z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -4919378858736341/200000000000000 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))) | |
| 1.9b | (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z)))) | |
| 1.4b | (*.f64 (*.f64 (cbrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (*.f64 2 (PI.f64)) 1/6)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 (+.f64 (-.f64 2 z) (*.f64 (-.f64 1 z) -12591392167224028/6765203681218851)) (*.f64 (-.f64 1 z) (*.f64 10000000000000/6765203681218851 (-.f64 2 z))))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2)))))) | |
| 1.7b | (*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (PI.f64))) (/.f64 (sqrt.f64 2) (/.f64 (/.f64 z (exp.f64 -15/2)) (sqrt.f64 15/2)))) | |
| 1.6b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (fma.f64 (exp.f64 -15/2) 54901901787731453525296637639/78400000000000000000000000 (*.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 z) (exp.f64 -15/2))))) | |
| 2.0b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) 909016194325544373103082059/4200000000000000000000000) (/.f64 z (exp.f64 -15/2))))) | |
| 1.3b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (+.f64 (*.f64 (exp.f64 -15/2) 54901901787731453525296637639/78400000000000000000000000) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z))))) | |
| 1.3b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (+.f64 (*.f64 102757979785251069442117317613/235200000000000000000000000 (exp.f64 -15/2)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z)))))) | |
| 2.0b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (/.f64 (exp.f64 -15/2) z) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) 904816194325545171523082059/4200000000000000000000000)))))) | |
| 50.2b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (/.f64 (exp.f64 -15/2) z) 909016194325544373103082059/4200000000000000000000000))) | |
| 0.8b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 (+.f64 (-.f64 2 z) (*.f64 (*.f64 (-.f64 1 z) 10000000000000/6765203681218851) -3147848041806007/2500000000000)) (*.f64 (*.f64 (-.f64 1 z) 10000000000000/6765203681218851) (-.f64 2 z)))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2)))))) | |
| 0.7b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 (+.f64 (-.f64 1 z) (*.f64 (-.f64 -5000000000000/3147848041806007 (/.f64 z -3147848041806007/2500000000000)) 6765203681218851/10000000000000)) (*.f64 (-.f64 -5000000000000/3147848041806007 (/.f64 z -3147848041806007/2500000000000)) (-.f64 1 z)))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2)))))) | |
| 2.0b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 (+.f64 (-.f64 -5000000000000/3147848041806007 (/.f64 z -3147848041806007/2500000000000)) (*.f64 (*.f64 (-.f64 1 z) 10000000000000/6765203681218851) 1)) (*.f64 (*.f64 (-.f64 1 z) 10000000000000/6765203681218851) (-.f64 -5000000000000/3147848041806007 (/.f64 z -3147848041806007/2500000000000))))) 904816194325545171523082059/4200000000000000000000000) (/.f64 (exp.f64 -15/2) z)))) | |
| 1.1b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 (+.f64 469507597606837/5000000000000 (*.f64 5826188486005177/10000000000000 z)) (*.f64 (-.f64 2 z) (-.f64 1 z)))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (-.f64 (*.f64 -105381455914863113/10000000000000000 z) 41652288634797769/1000000000000000)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2)))))) | |
| 0.7b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 (+.f64 469507597606837/5000000000000 (*.f64 5826188486005177/10000000000000 z)) (*.f64 (-.f64 2 z) (-.f64 1 z)))) (+.f64 (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2)))))) | |
| 1.2b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 (+.f64 469507597606837/5000000000000 (*.f64 5826188486005177/10000000000000 z)) (*.f64 (-.f64 2 z) (-.f64 1 z)))) (+.f64 (+.f64 646366562873259793/3000000000000000 (*.f64 z 6764801184542762983/90000000000000000)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2)))))) | |
| ✓ | 0.7b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2)))))) |
| 1.3b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 904816194325545171523082059/4200000000000000000000000 (*.f64 17677775146260978562117317613/235200000000000000000000000 z))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2)))))) | |
| 1.3b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 469507597606837/10000000000000 (*.f64 904338909853211/2500000000000 z))) (+.f64 (+.f64 646366562873259793/3000000000000000 (*.f64 z 6764801184542762983/90000000000000000)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2)))))) | |
| 2.1b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 1 z) (exp.f64 -15/2))))) | |
| 64.0b | (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) 909016194325544373103082059/4200000000000000000000000) (/.f64 (exp.f64 -15/2) z))))))) | |
| 1.8b | (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (*.f64 (pow.f64 (-.f64 15/2 z) (neg.f64 (-.f64 1/2 z))) z))) | |
| 2.2b | (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (/.f64 (exp.f64 -15/2) (pow.f64 (-.f64 15/2 z) (+.f64 z -1/2))) (/.f64 1106209385320415913103082059/4200000000000000000000000 z))) | |
| 1.7b | (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 (pow.f64 (-.f64 15/2 z) (+.f64 -1/2 z))) (/.f64 (exp.f64 -15/2) z))) | |
| 1.9b | (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z)) (sqrt.f64 15/2))) | |
| 1.9b | (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (/.f64 (exp.f64 -15/2) z) (pow.f64 (-.f64 15/2 z) (+.f64 -1/2 z))))) | |
| 1.9b | (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) z))) | |
| 2.0b | (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) (/.f64 z (sqrt.f64 15/2))))) | |
| 1.9b | (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) (*.f64 z (pow.f64 (-.f64 15/2 z) (+.f64 z -1/2)))))) | |
| 2.0b | (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 15/2)))) | |
| 2.1b | (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 1 z) (/.f64 (exp.f64 -15/2) (pow.f64 (-.f64 15/2 z) (neg.f64 (-.f64 1/2 z))))))) | |
| 1.8b | (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (sqrt.f64 2) (/.f64 z (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) (sqrt.f64 (PI.f64)))) | |
| 2.1b | (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 (exp.f64 -15/2) z)))) | |
| 48.4b | (sqrt.f64 (*.f64 (pow.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 (exp.f64 -15/2) z)) 2) (*.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/8820000000000000000000000000000000000000000000000))) |
Compiled 1751 to 1465 computations (16.3% saved)
| Inputs |
|---|
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 15/2)))) |
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) (/.f64 z (sqrt.f64 15/2))))) |
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) z))) |
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z)) (sqrt.f64 15/2))) |
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 (exp.f64 -15/2) z)))) |
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) (*.f64 z (pow.f64 (-.f64 15/2 z) (+.f64 z -1/2)))))) |
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) (/.f64 z (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))) |
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (/.f64 (exp.f64 -15/2) z) (pow.f64 (-.f64 15/2 z) (+.f64 -1/2 z))))) |
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 (pow.f64 (-.f64 15/2 z) (+.f64 -1/2 z))) (/.f64 (exp.f64 -15/2) z))) |
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (/.f64 (exp.f64 -15/2) (pow.f64 (-.f64 15/2 z) (+.f64 z -1/2))) (/.f64 1106209385320415913103082059/4200000000000000000000000 z))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z)))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 z) (exp.f64 -15/2)))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (/.f64 (exp.f64 -15/2) z) 909016194325544373103082059/4200000000000000000000000))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 z (exp.f64 -15/2))))) |
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z)) (sqrt.f64 (*.f64 2 (PI.f64))))) |
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (/.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) z) (sqrt.f64 (*.f64 2 (PI.f64))))) |
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(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (*.f64 (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2)))) (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))))) |
(*.f64 (*.f64 (cbrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (*.f64 2 (PI.f64)) 1/6)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2)))))) |
(*.f64 (*.f64 (cbrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (*.f64 2 (PI.f64)) 1/6)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 (+.f64 (-.f64 2 z) (*.f64 (-.f64 1 z) -12591392167224028/6765203681218851)) (*.f64 (-.f64 1 z) (*.f64 10000000000000/6765203681218851 (-.f64 2 z))))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2)))))) |
(*.f64 (*.f64 (cbrt.f64 (*.f64 2 (PI.f64))) (sqrt.f64 (cbrt.f64 (*.f64 2 (PI.f64))))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2)))))) |
(*.f64 (*.f64 (cbrt.f64 (*.f64 2 (PI.f64))) (sqrt.f64 (cbrt.f64 (*.f64 2 (PI.f64))))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 (+.f64 (-.f64 2 z) (*.f64 (-.f64 1 z) -12591392167224028/6765203681218851)) (*.f64 (-.f64 1 z) (*.f64 10000000000000/6765203681218851 (-.f64 2 z))))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2)))))) |
| Outputs |
|---|
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 1 z) -1) 15/2) (-.f64 (-.f64 1 z) 1/2))) (exp.f64 (+.f64 (neg.f64 (-.f64 (-.f64 1 z) -6)) -1/2))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 (-.f64 1 z) 0))) (/.f64 -3147848041806007/2500000000000 (-.f64 (-.f64 1 z) -1))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 (-.f64 1 z) -2)) (/.f64 -883075145810703/5000000000000 (-.f64 (-.f64 1 z) -3)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 (-.f64 1 z) -4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 (-.f64 1 z) -5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 (-.f64 1 z) -6)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 (-.f64 1 z) -7)))))) |
2 calls:
| 38.0ms | (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2) (+.f64 (-.f64 (-.f64 1 z) 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 8))))) |
| 34.0ms | z |
| Error | Segments | Branch |
|---|---|---|
| 0.5b | 1 | z |
| 0.5b | 1 | (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2) (+.f64 (-.f64 (-.f64 1 z) 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 8))))) |
Compiled 4305 to 3325 computations (22.8% saved)
| Inputs |
|---|
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 15/2)))) |
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) (/.f64 z (sqrt.f64 15/2))))) |
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) z))) |
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z)) (sqrt.f64 15/2))) |
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 (exp.f64 -15/2) z)))) |
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) (*.f64 z (pow.f64 (-.f64 15/2 z) (+.f64 z -1/2)))))) |
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) (/.f64 z (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))) |
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (/.f64 (exp.f64 -15/2) z) (pow.f64 (-.f64 15/2 z) (+.f64 -1/2 z))))) |
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 (pow.f64 (-.f64 15/2 z) (+.f64 -1/2 z))) (/.f64 (exp.f64 -15/2) z))) |
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (/.f64 (exp.f64 -15/2) (pow.f64 (-.f64 15/2 z) (+.f64 z -1/2))) (/.f64 1106209385320415913103082059/4200000000000000000000000 z))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z)))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 z) (exp.f64 -15/2)))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (/.f64 (exp.f64 -15/2) z) 909016194325544373103082059/4200000000000000000000000))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 z (exp.f64 -15/2))))) |
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z)) (sqrt.f64 (*.f64 2 (PI.f64))))) |
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (/.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) z) (sqrt.f64 (*.f64 2 (PI.f64))))) |
(/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 (/.f64 z (exp.f64 -15/2)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))) |
(/.f64 (*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (sqrt.f64 (*.f64 2 (PI.f64)))) (/.f64 z (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) |
(/.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2))) z) |
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (*.f64 (pow.f64 (-.f64 15/2 z) (neg.f64 (-.f64 1/2 z))) z))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 1 z) (exp.f64 -15/2))))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 1 (/.f64 z (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)))))) |
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 1 z) (/.f64 (exp.f64 -15/2) (pow.f64 (-.f64 15/2 z) (neg.f64 (-.f64 1/2 z))))))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) 909016194325544373103082059/4200000000000000000000000) (/.f64 z (exp.f64 -15/2))))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) 904816194325545171523082059/4200000000000000000000000) (/.f64 (exp.f64 -15/2) z)))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (/.f64 (exp.f64 -15/2) z) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) 904816194325545171523082059/4200000000000000000000000)))))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 (+.f64 (-.f64 -5000000000000/3147848041806007 (/.f64 z -3147848041806007/2500000000000)) (*.f64 (*.f64 (-.f64 1 z) 10000000000000/6765203681218851) 1)) (*.f64 (*.f64 (-.f64 1 z) 10000000000000/6765203681218851) (-.f64 -5000000000000/3147848041806007 (/.f64 z -3147848041806007/2500000000000))))) 904816194325545171523082059/4200000000000000000000000) (/.f64 (exp.f64 -15/2) z)))) |
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (sqrt.f64 2) (/.f64 z (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) (sqrt.f64 (PI.f64)))) |
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64)))) |
(*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (sqrt.f64 15/2) (*.f64 (sqrt.f64 2) (exp.f64 -15/2))) (/.f64 z (sqrt.f64 (PI.f64))))) |
(*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (PI.f64))) (/.f64 (sqrt.f64 2) (/.f64 (/.f64 z (exp.f64 -15/2)) (sqrt.f64 15/2)))) |
(sqrt.f64 (*.f64 (pow.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 (exp.f64 -15/2) z)) 2) (*.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/8820000000000000000000000000000000000000000000000))) |
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (/.f64 (sqrt.f64 2) z) (*.f64 (exp.f64 -15/2) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))) |
(*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z)))) |
(sqrt.f64 (*.f64 (*.f64 (PI.f64) 2) (pow.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (exp.f64 -15/2) z) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) 2))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (+.f64 (*.f64 (exp.f64 -15/2) 441081074802767819940949738751/705600000000000000000000000) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z))))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (+.f64 (*.f64 (exp.f64 -15/2) 54901901787731453525296637639/78400000000000000000000000) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z))))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (pow.f64 (/.f64 (exp.f64 -5/2) (cbrt.f64 z)) 3)))) |
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z)) (sqrt.f64 (*.f64 (PI.f64) 2))))) 3) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (fma.f64 (exp.f64 -15/2) 54901901787731453525296637639/78400000000000000000000000 (*.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 z) (exp.f64 -15/2))))) |
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(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2)))) (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)) (+.f64 (*.f64 7713234287776531/90000000000000 z) 7713234287776531/30000000000000))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (+.f64 371756020978964147/150000000000000000 (*.f64 z 446800080651085577/900000000000000000)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))))) |
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2)))) (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (+.f64 371756020978964147/150000000000000000 (*.f64 z 446800080651085577/900000000000000000)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 (+.f64 (-.f64 1 z) (*.f64 (-.f64 -5000000000000/3147848041806007 (/.f64 z -3147848041806007/2500000000000)) 6765203681218851/10000000000000)) (*.f64 (-.f64 -5000000000000/3147848041806007 (/.f64 z -3147848041806007/2500000000000)) (-.f64 1 z)))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2)))))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 (+.f64 (-.f64 2 z) (*.f64 (*.f64 (-.f64 1 z) 10000000000000/6765203681218851) -3147848041806007/2500000000000)) (*.f64 (*.f64 (-.f64 1 z) 10000000000000/6765203681218851) (-.f64 2 z)))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2)))))) |
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2)))) (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (+.f64 371756020978964147/150000000000000000 (*.f64 z 446800080651085577/900000000000000000)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))))) |
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2)))) (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))))) |
| Outputs |
|---|
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2)))) (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))))) |
1 calls:
| 32.0ms | z |
| Error | Segments | Branch |
|---|---|---|
| 0.5b | 1 | z |
Compiled 3160 to 2416 computations (23.5% saved)
| Inputs |
|---|
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 15/2)))) |
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) (/.f64 z (sqrt.f64 15/2))))) |
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) z))) |
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z)) (sqrt.f64 15/2))) |
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 (exp.f64 -15/2) z)))) |
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) (*.f64 z (pow.f64 (-.f64 15/2 z) (+.f64 z -1/2)))))) |
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) (/.f64 z (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))) |
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (/.f64 (exp.f64 -15/2) z) (pow.f64 (-.f64 15/2 z) (+.f64 -1/2 z))))) |
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 (pow.f64 (-.f64 15/2 z) (+.f64 -1/2 z))) (/.f64 (exp.f64 -15/2) z))) |
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (/.f64 (exp.f64 -15/2) (pow.f64 (-.f64 15/2 z) (+.f64 z -1/2))) (/.f64 1106209385320415913103082059/4200000000000000000000000 z))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z)))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 z) (exp.f64 -15/2)))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (/.f64 (exp.f64 -15/2) z) 909016194325544373103082059/4200000000000000000000000))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 z (exp.f64 -15/2))))) |
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z)) (sqrt.f64 (*.f64 2 (PI.f64))))) |
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (/.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) z) (sqrt.f64 (*.f64 2 (PI.f64))))) |
(/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 (/.f64 z (exp.f64 -15/2)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))) |
(/.f64 (*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (sqrt.f64 (*.f64 2 (PI.f64)))) (/.f64 z (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) |
(/.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2))) z) |
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (*.f64 (pow.f64 (-.f64 15/2 z) (neg.f64 (-.f64 1/2 z))) z))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 1 z) (exp.f64 -15/2))))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 1 (/.f64 z (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)))))) |
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 1 z) (/.f64 (exp.f64 -15/2) (pow.f64 (-.f64 15/2 z) (neg.f64 (-.f64 1/2 z))))))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) 909016194325544373103082059/4200000000000000000000000) (/.f64 z (exp.f64 -15/2))))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) 904816194325545171523082059/4200000000000000000000000) (/.f64 (exp.f64 -15/2) z)))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (/.f64 (exp.f64 -15/2) z) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) 904816194325545171523082059/4200000000000000000000000)))))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 (+.f64 (-.f64 -5000000000000/3147848041806007 (/.f64 z -3147848041806007/2500000000000)) (*.f64 (*.f64 (-.f64 1 z) 10000000000000/6765203681218851) 1)) (*.f64 (*.f64 (-.f64 1 z) 10000000000000/6765203681218851) (-.f64 -5000000000000/3147848041806007 (/.f64 z -3147848041806007/2500000000000))))) 904816194325545171523082059/4200000000000000000000000) (/.f64 (exp.f64 -15/2) z)))) |
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (sqrt.f64 2) (/.f64 z (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) (sqrt.f64 (PI.f64)))) |
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64)))) |
(*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (sqrt.f64 15/2) (*.f64 (sqrt.f64 2) (exp.f64 -15/2))) (/.f64 z (sqrt.f64 (PI.f64))))) |
(*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (PI.f64))) (/.f64 (sqrt.f64 2) (/.f64 (/.f64 z (exp.f64 -15/2)) (sqrt.f64 15/2)))) |
(sqrt.f64 (*.f64 (pow.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 (exp.f64 -15/2) z)) 2) (*.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/8820000000000000000000000000000000000000000000000))) |
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (/.f64 (sqrt.f64 2) z) (*.f64 (exp.f64 -15/2) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))) |
(*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z)))) |
(sqrt.f64 (*.f64 (*.f64 (PI.f64) 2) (pow.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (exp.f64 -15/2) z) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) 2))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (+.f64 (*.f64 (exp.f64 -15/2) 441081074802767819940949738751/705600000000000000000000000) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z))))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (+.f64 (*.f64 (exp.f64 -15/2) 54901901787731453525296637639/78400000000000000000000000) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z))))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (pow.f64 (/.f64 (exp.f64 -5/2) (cbrt.f64 z)) 3)))) |
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z)) (sqrt.f64 (*.f64 (PI.f64) 2))))) 3) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (fma.f64 (exp.f64 -15/2) 54901901787731453525296637639/78400000000000000000000000 (*.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 z) (exp.f64 -15/2))))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (+.f64 (*.f64 255237898068937946539631952839/705600000000000000000000000 (exp.f64 -15/2)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z)))))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (+.f64 (*.f64 102757979785251069442117317613/235200000000000000000000000 (exp.f64 -15/2)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z)))))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) 909016194325544373103082059/4200000000000000000000000) (/.f64 (exp.f64 -15/2) z))))))) |
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(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2)))) (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (+.f64 371756020978964147/150000000000000000 (*.f64 z 446800080651085577/900000000000000000)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 (+.f64 (-.f64 1 z) (*.f64 (-.f64 -5000000000000/3147848041806007 (/.f64 z -3147848041806007/2500000000000)) 6765203681218851/10000000000000)) (*.f64 (-.f64 -5000000000000/3147848041806007 (/.f64 z -3147848041806007/2500000000000)) (-.f64 1 z)))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2)))))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 (+.f64 (-.f64 2 z) (*.f64 (*.f64 (-.f64 1 z) 10000000000000/6765203681218851) -3147848041806007/2500000000000)) (*.f64 (*.f64 (-.f64 1 z) 10000000000000/6765203681218851) (-.f64 2 z)))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2)))))) |
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2)))) (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (+.f64 371756020978964147/150000000000000000 (*.f64 z 446800080651085577/900000000000000000)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))))) |
| Outputs |
|---|
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 (+.f64 469507597606837/5000000000000 (*.f64 5826188486005177/10000000000000 z)) (*.f64 (-.f64 2 z) (-.f64 1 z)))) (+.f64 (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2)))))) |
1 calls:
| 28.0ms | z |
| Error | Segments | Branch |
|---|---|---|
| 0.7b | 1 | z |
Compiled 3065 to 2339 computations (23.7% saved)
| Inputs |
|---|
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 15/2)))) |
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) (/.f64 z (sqrt.f64 15/2))))) |
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) z))) |
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z)) (sqrt.f64 15/2))) |
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 (exp.f64 -15/2) z)))) |
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) (*.f64 z (pow.f64 (-.f64 15/2 z) (+.f64 z -1/2)))))) |
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) (/.f64 z (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))) |
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (/.f64 (exp.f64 -15/2) z) (pow.f64 (-.f64 15/2 z) (+.f64 -1/2 z))))) |
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 (pow.f64 (-.f64 15/2 z) (+.f64 -1/2 z))) (/.f64 (exp.f64 -15/2) z))) |
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (/.f64 (exp.f64 -15/2) (pow.f64 (-.f64 15/2 z) (+.f64 z -1/2))) (/.f64 1106209385320415913103082059/4200000000000000000000000 z))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z)))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 z) (exp.f64 -15/2)))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (/.f64 (exp.f64 -15/2) z) 909016194325544373103082059/4200000000000000000000000))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 z (exp.f64 -15/2))))) |
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z)) (sqrt.f64 (*.f64 2 (PI.f64))))) |
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (/.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) z) (sqrt.f64 (*.f64 2 (PI.f64))))) |
(/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 (/.f64 z (exp.f64 -15/2)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))) |
(/.f64 (*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (sqrt.f64 (*.f64 2 (PI.f64)))) (/.f64 z (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) |
(/.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2))) z) |
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (*.f64 (pow.f64 (-.f64 15/2 z) (neg.f64 (-.f64 1/2 z))) z))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 1 z) (exp.f64 -15/2))))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 1 (/.f64 z (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)))))) |
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 1 z) (/.f64 (exp.f64 -15/2) (pow.f64 (-.f64 15/2 z) (neg.f64 (-.f64 1/2 z))))))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) 909016194325544373103082059/4200000000000000000000000) (/.f64 z (exp.f64 -15/2))))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) 904816194325545171523082059/4200000000000000000000000) (/.f64 (exp.f64 -15/2) z)))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (/.f64 (exp.f64 -15/2) z) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) 904816194325545171523082059/4200000000000000000000000)))))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 (+.f64 (-.f64 -5000000000000/3147848041806007 (/.f64 z -3147848041806007/2500000000000)) (*.f64 (*.f64 (-.f64 1 z) 10000000000000/6765203681218851) 1)) (*.f64 (*.f64 (-.f64 1 z) 10000000000000/6765203681218851) (-.f64 -5000000000000/3147848041806007 (/.f64 z -3147848041806007/2500000000000))))) 904816194325545171523082059/4200000000000000000000000) (/.f64 (exp.f64 -15/2) z)))) |
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (sqrt.f64 2) (/.f64 z (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) (sqrt.f64 (PI.f64)))) |
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64)))) |
(*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (sqrt.f64 15/2) (*.f64 (sqrt.f64 2) (exp.f64 -15/2))) (/.f64 z (sqrt.f64 (PI.f64))))) |
(*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (PI.f64))) (/.f64 (sqrt.f64 2) (/.f64 (/.f64 z (exp.f64 -15/2)) (sqrt.f64 15/2)))) |
(sqrt.f64 (*.f64 (pow.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 (exp.f64 -15/2) z)) 2) (*.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/8820000000000000000000000000000000000000000000000))) |
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (/.f64 (sqrt.f64 2) z) (*.f64 (exp.f64 -15/2) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))) |
(*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z)))) |
(sqrt.f64 (*.f64 (*.f64 (PI.f64) 2) (pow.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (exp.f64 -15/2) z) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) 2))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (+.f64 (*.f64 (exp.f64 -15/2) 441081074802767819940949738751/705600000000000000000000000) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z))))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (+.f64 (*.f64 (exp.f64 -15/2) 54901901787731453525296637639/78400000000000000000000000) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z))))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (pow.f64 (/.f64 (exp.f64 -5/2) (cbrt.f64 z)) 3)))) |
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z)) (sqrt.f64 (*.f64 (PI.f64) 2))))) 3) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (fma.f64 (exp.f64 -15/2) 54901901787731453525296637639/78400000000000000000000000 (*.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 z) (exp.f64 -15/2))))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (+.f64 (*.f64 255237898068937946539631952839/705600000000000000000000000 (exp.f64 -15/2)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z)))))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (+.f64 (*.f64 102757979785251069442117317613/235200000000000000000000000 (exp.f64 -15/2)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z)))))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) 909016194325544373103082059/4200000000000000000000000) (/.f64 (exp.f64 -15/2) z))))))) |
(*.f64 (+.f64 (*.f64 1/6 (*.f64 z (pow.f64 (PI.f64) 2))) (/.f64 1 z)) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 (+.f64 (/.f64 6868447169803563/40000000000000 (*.f64 z z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -4919378858736341/200000000000000 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 (*.f64 6493665628732592227/30000000000000000 (*.f64 (PI.f64) (exp.f64 (+.f64 z -15/2)))) (sin.f64 (*.f64 z (PI.f64)))))) |
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) 1106209385320415913103082059/4200000000000000000000000)) |
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) 904816194325545171523082059/4200000000000000000000000) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2)))))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 904816194325545171523082059/4200000000000000000000000 (*.f64 17677775146260978562117317613/235200000000000000000000000 z))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2)))))) |
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 469507597606837/10000000000000) (+.f64 646366562873259793/3000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2)))))) |
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 (+.f64 7902188421553103227/30000000000000000 (*.f64 39321001939258358983/90000000000000000 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))) |
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 4919378858736341/200000000000000 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 469507597606837/10000000000000 (*.f64 904338909853211/2500000000000 z))) (+.f64 (+.f64 646366562873259793/3000000000000000 (*.f64 z 6764801184542762983/90000000000000000)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2)))))) |
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 (+.f64 (/.f64 6868447169803563/40000000000000 (*.f64 z z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -4919378858736341/200000000000000 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 646366562873259793/3000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2)))))) |
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) 646366562873259793/3000000000000000)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 469507597606837/10000000000000 (*.f64 904338909853211/2500000000000 z))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (-.f64 (*.f64 -105381455914863113/10000000000000000 z) 41652288634797769/1000000000000000)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2)))))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (+.f64 646366562873259793/3000000000000000 (*.f64 z 6764801184542762983/90000000000000000)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2)))))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 (+.f64 469507597606837/5000000000000 (*.f64 5826188486005177/10000000000000 z)) (*.f64 (-.f64 2 z) (-.f64 1 z)))) (+.f64 (+.f64 646366562873259793/3000000000000000 (*.f64 z 6764801184542762983/90000000000000000)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2)))))) |
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 646366562873259793/3000000000000000 (*.f64 z 6764801184542762983/90000000000000000)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 469507597606837/10000000000000 (*.f64 904338909853211/2500000000000 z))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2)))))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (+.f64 7713234287776531/30000000000000 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2)))))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 (+.f64 469507597606837/5000000000000 (*.f64 5826188486005177/10000000000000 z)) (*.f64 (-.f64 2 z) (-.f64 1 z)))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (-.f64 (*.f64 -105381455914863113/10000000000000000 z) 41652288634797769/1000000000000000)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2)))))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 (+.f64 (*.f64 -3147848041806007/2500000000000 (-.f64 1 z)) (*.f64 (-.f64 2 z) 6765203681218851/10000000000000)) (*.f64 (-.f64 2 z) (-.f64 1 z)))) (+.f64 (+.f64 646366562873259793/3000000000000000 (*.f64 z 6764801184542762983/90000000000000000)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2)))))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2)))))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (+.f64 (*.f64 7713234287776531/10000000000000 (/.f64 1 (-.f64 3 z))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2)))))) |
| Outputs |
|---|
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2)))))) |
1 calls:
| 25.0ms | z |
| Error | Segments | Branch |
|---|---|---|
| 0.7b | 1 | z |
Compiled 2260 to 1723 computations (23.8% saved)
| Inputs |
|---|
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 15/2)))) |
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) (/.f64 z (sqrt.f64 15/2))))) |
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) z))) |
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z)) (sqrt.f64 15/2))) |
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 (exp.f64 -15/2) z)))) |
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) (*.f64 z (pow.f64 (-.f64 15/2 z) (+.f64 z -1/2)))))) |
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) (/.f64 z (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))) |
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (/.f64 (exp.f64 -15/2) z) (pow.f64 (-.f64 15/2 z) (+.f64 -1/2 z))))) |
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 (pow.f64 (-.f64 15/2 z) (+.f64 -1/2 z))) (/.f64 (exp.f64 -15/2) z))) |
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (/.f64 (exp.f64 -15/2) (pow.f64 (-.f64 15/2 z) (+.f64 z -1/2))) (/.f64 1106209385320415913103082059/4200000000000000000000000 z))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z)))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 z) (exp.f64 -15/2)))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (/.f64 (exp.f64 -15/2) z) 909016194325544373103082059/4200000000000000000000000))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 z (exp.f64 -15/2))))) |
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z)) (sqrt.f64 (*.f64 2 (PI.f64))))) |
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (/.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) z) (sqrt.f64 (*.f64 2 (PI.f64))))) |
(/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 (/.f64 z (exp.f64 -15/2)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))) |
(/.f64 (*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (sqrt.f64 (*.f64 2 (PI.f64)))) (/.f64 z (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) |
(/.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2))) z) |
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (*.f64 (pow.f64 (-.f64 15/2 z) (neg.f64 (-.f64 1/2 z))) z))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 1 z) (exp.f64 -15/2))))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 1 (/.f64 z (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)))))) |
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 1 z) (/.f64 (exp.f64 -15/2) (pow.f64 (-.f64 15/2 z) (neg.f64 (-.f64 1/2 z))))))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) 909016194325544373103082059/4200000000000000000000000) (/.f64 z (exp.f64 -15/2))))) |
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(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (fma.f64 (exp.f64 -15/2) 54901901787731453525296637639/78400000000000000000000000 (*.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 z) (exp.f64 -15/2))))) |
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(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 (*.f64 6493665628732592227/30000000000000000 (*.f64 (PI.f64) (exp.f64 (+.f64 z -15/2)))) (sin.f64 (*.f64 z (PI.f64)))))) |
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) 1106209385320415913103082059/4200000000000000000000000)) |
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))) |
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(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 469507597606837/10000000000000) (+.f64 646366562873259793/3000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2)))))) |
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 (+.f64 7902188421553103227/30000000000000000 (*.f64 39321001939258358983/90000000000000000 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))) |
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 4919378858736341/200000000000000 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 469507597606837/10000000000000 (*.f64 904338909853211/2500000000000 z))) (+.f64 (+.f64 646366562873259793/3000000000000000 (*.f64 z 6764801184542762983/90000000000000000)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2)))))) |
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 (+.f64 (/.f64 6868447169803563/40000000000000 (*.f64 z z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -4919378858736341/200000000000000 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 646366562873259793/3000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2)))))) |
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) 646366562873259793/3000000000000000)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 469507597606837/10000000000000 (*.f64 904338909853211/2500000000000 z))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (-.f64 (*.f64 -105381455914863113/10000000000000000 z) 41652288634797769/1000000000000000)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2)))))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (+.f64 646366562873259793/3000000000000000 (*.f64 z 6764801184542762983/90000000000000000)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2)))))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 (+.f64 469507597606837/5000000000000 (*.f64 5826188486005177/10000000000000 z)) (*.f64 (-.f64 2 z) (-.f64 1 z)))) (+.f64 (+.f64 646366562873259793/3000000000000000 (*.f64 z 6764801184542762983/90000000000000000)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2)))))) |
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 646366562873259793/3000000000000000 (*.f64 z 6764801184542762983/90000000000000000)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 469507597606837/10000000000000 (*.f64 904338909853211/2500000000000 z))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2)))))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (+.f64 7713234287776531/30000000000000 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2)))))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 (+.f64 469507597606837/5000000000000 (*.f64 5826188486005177/10000000000000 z)) (*.f64 (-.f64 2 z) (-.f64 1 z)))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (-.f64 (*.f64 -105381455914863113/10000000000000000 z) 41652288634797769/1000000000000000)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2)))))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 (+.f64 (*.f64 -3147848041806007/2500000000000 (-.f64 1 z)) (*.f64 (-.f64 2 z) 6765203681218851/10000000000000)) (*.f64 (-.f64 2 z) (-.f64 1 z)))) (+.f64 (+.f64 646366562873259793/3000000000000000 (*.f64 z 6764801184542762983/90000000000000000)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2)))))) |
| Outputs |
|---|
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 (+.f64 7902188421553103227/30000000000000000 (*.f64 39321001939258358983/90000000000000000 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))) |
1 calls:
| 25.0ms | z |
| Error | Segments | Branch |
|---|---|---|
| 1.1b | 1 | z |
Compiled 2110 to 1609 computations (23.7% saved)
| Inputs |
|---|
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 15/2)))) |
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) (/.f64 z (sqrt.f64 15/2))))) |
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) z))) |
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z)) (sqrt.f64 15/2))) |
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 (exp.f64 -15/2) z)))) |
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) (*.f64 z (pow.f64 (-.f64 15/2 z) (+.f64 z -1/2)))))) |
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) (/.f64 z (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))) |
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (/.f64 (exp.f64 -15/2) z) (pow.f64 (-.f64 15/2 z) (+.f64 -1/2 z))))) |
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 (pow.f64 (-.f64 15/2 z) (+.f64 -1/2 z))) (/.f64 (exp.f64 -15/2) z))) |
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (/.f64 (exp.f64 -15/2) (pow.f64 (-.f64 15/2 z) (+.f64 z -1/2))) (/.f64 1106209385320415913103082059/4200000000000000000000000 z))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z)))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 z) (exp.f64 -15/2)))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (/.f64 (exp.f64 -15/2) z) 909016194325544373103082059/4200000000000000000000000))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 z (exp.f64 -15/2))))) |
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z)) (sqrt.f64 (*.f64 2 (PI.f64))))) |
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (/.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) z) (sqrt.f64 (*.f64 2 (PI.f64))))) |
(/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 (/.f64 z (exp.f64 -15/2)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))) |
(/.f64 (*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (sqrt.f64 (*.f64 2 (PI.f64)))) (/.f64 z (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) |
(/.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2))) z) |
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (*.f64 (pow.f64 (-.f64 15/2 z) (neg.f64 (-.f64 1/2 z))) z))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 1 z) (exp.f64 -15/2))))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 1 (/.f64 z (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)))))) |
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 1 z) (/.f64 (exp.f64 -15/2) (pow.f64 (-.f64 15/2 z) (neg.f64 (-.f64 1/2 z))))))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) 909016194325544373103082059/4200000000000000000000000) (/.f64 z (exp.f64 -15/2))))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) 904816194325545171523082059/4200000000000000000000000) (/.f64 (exp.f64 -15/2) z)))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (/.f64 (exp.f64 -15/2) z) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) 904816194325545171523082059/4200000000000000000000000)))))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 (+.f64 (-.f64 -5000000000000/3147848041806007 (/.f64 z -3147848041806007/2500000000000)) (*.f64 (*.f64 (-.f64 1 z) 10000000000000/6765203681218851) 1)) (*.f64 (*.f64 (-.f64 1 z) 10000000000000/6765203681218851) (-.f64 -5000000000000/3147848041806007 (/.f64 z -3147848041806007/2500000000000))))) 904816194325545171523082059/4200000000000000000000000) (/.f64 (exp.f64 -15/2) z)))) |
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (sqrt.f64 2) (/.f64 z (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) (sqrt.f64 (PI.f64)))) |
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64)))) |
(*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (sqrt.f64 15/2) (*.f64 (sqrt.f64 2) (exp.f64 -15/2))) (/.f64 z (sqrt.f64 (PI.f64))))) |
(*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (PI.f64))) (/.f64 (sqrt.f64 2) (/.f64 (/.f64 z (exp.f64 -15/2)) (sqrt.f64 15/2)))) |
(sqrt.f64 (*.f64 (pow.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 (exp.f64 -15/2) z)) 2) (*.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/8820000000000000000000000000000000000000000000000))) |
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (/.f64 (sqrt.f64 2) z) (*.f64 (exp.f64 -15/2) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))) |
(*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z)))) |
(sqrt.f64 (*.f64 (*.f64 (PI.f64) 2) (pow.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (exp.f64 -15/2) z) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) 2))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (+.f64 (*.f64 (exp.f64 -15/2) 441081074802767819940949738751/705600000000000000000000000) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z))))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (+.f64 (*.f64 (exp.f64 -15/2) 54901901787731453525296637639/78400000000000000000000000) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z))))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (pow.f64 (/.f64 (exp.f64 -5/2) (cbrt.f64 z)) 3)))) |
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z)) (sqrt.f64 (*.f64 (PI.f64) 2))))) 3) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (fma.f64 (exp.f64 -15/2) 54901901787731453525296637639/78400000000000000000000000 (*.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 z) (exp.f64 -15/2))))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (+.f64 (*.f64 255237898068937946539631952839/705600000000000000000000000 (exp.f64 -15/2)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z)))))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (+.f64 (*.f64 102757979785251069442117317613/235200000000000000000000000 (exp.f64 -15/2)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z)))))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) 909016194325544373103082059/4200000000000000000000000) (/.f64 (exp.f64 -15/2) z))))))) |
(*.f64 (+.f64 (*.f64 1/6 (*.f64 z (pow.f64 (PI.f64) 2))) (/.f64 1 z)) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 (+.f64 (/.f64 6868447169803563/40000000000000 (*.f64 z z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -4919378858736341/200000000000000 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 (*.f64 6493665628732592227/30000000000000000 (*.f64 (PI.f64) (exp.f64 (+.f64 z -15/2)))) (sin.f64 (*.f64 z (PI.f64)))))) |
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) 1106209385320415913103082059/4200000000000000000000000)) |
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) 904816194325545171523082059/4200000000000000000000000) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2)))))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 904816194325545171523082059/4200000000000000000000000 (*.f64 17677775146260978562117317613/235200000000000000000000000 z))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2)))))) |
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 469507597606837/10000000000000) (+.f64 646366562873259793/3000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2)))))) |
| Outputs |
|---|
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (+.f64 (*.f64 102757979785251069442117317613/235200000000000000000000000 (exp.f64 -15/2)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z)))))) |
1 calls:
| 20.0ms | z |
| Error | Segments | Branch |
|---|---|---|
| 1.3b | 1 | z |
Compiled 1250 to 984 computations (21.3% saved)
| Inputs |
|---|
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 15/2)))) |
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) (/.f64 z (sqrt.f64 15/2))))) |
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) z))) |
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z)) (sqrt.f64 15/2))) |
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 (exp.f64 -15/2) z)))) |
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) (*.f64 z (pow.f64 (-.f64 15/2 z) (+.f64 z -1/2)))))) |
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) (/.f64 z (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))) |
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (/.f64 (exp.f64 -15/2) z) (pow.f64 (-.f64 15/2 z) (+.f64 -1/2 z))))) |
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 (pow.f64 (-.f64 15/2 z) (+.f64 -1/2 z))) (/.f64 (exp.f64 -15/2) z))) |
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (/.f64 (exp.f64 -15/2) (pow.f64 (-.f64 15/2 z) (+.f64 z -1/2))) (/.f64 1106209385320415913103082059/4200000000000000000000000 z))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z)))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 z) (exp.f64 -15/2)))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (/.f64 (exp.f64 -15/2) z) 909016194325544373103082059/4200000000000000000000000))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 z (exp.f64 -15/2))))) |
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z)) (sqrt.f64 (*.f64 2 (PI.f64))))) |
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (/.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) z) (sqrt.f64 (*.f64 2 (PI.f64))))) |
(/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 (/.f64 z (exp.f64 -15/2)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))) |
(/.f64 (*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (sqrt.f64 (*.f64 2 (PI.f64)))) (/.f64 z (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) |
(/.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2))) z) |
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (*.f64 (pow.f64 (-.f64 15/2 z) (neg.f64 (-.f64 1/2 z))) z))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 1 z) (exp.f64 -15/2))))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 1 (/.f64 z (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)))))) |
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 1 z) (/.f64 (exp.f64 -15/2) (pow.f64 (-.f64 15/2 z) (neg.f64 (-.f64 1/2 z))))))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) 909016194325544373103082059/4200000000000000000000000) (/.f64 z (exp.f64 -15/2))))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) 904816194325545171523082059/4200000000000000000000000) (/.f64 (exp.f64 -15/2) z)))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (/.f64 (exp.f64 -15/2) z) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) 904816194325545171523082059/4200000000000000000000000)))))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 (+.f64 (-.f64 -5000000000000/3147848041806007 (/.f64 z -3147848041806007/2500000000000)) (*.f64 (*.f64 (-.f64 1 z) 10000000000000/6765203681218851) 1)) (*.f64 (*.f64 (-.f64 1 z) 10000000000000/6765203681218851) (-.f64 -5000000000000/3147848041806007 (/.f64 z -3147848041806007/2500000000000))))) 904816194325545171523082059/4200000000000000000000000) (/.f64 (exp.f64 -15/2) z)))) |
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (sqrt.f64 2) (/.f64 z (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) (sqrt.f64 (PI.f64)))) |
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64)))) |
(*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (sqrt.f64 15/2) (*.f64 (sqrt.f64 2) (exp.f64 -15/2))) (/.f64 z (sqrt.f64 (PI.f64))))) |
(*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (PI.f64))) (/.f64 (sqrt.f64 2) (/.f64 (/.f64 z (exp.f64 -15/2)) (sqrt.f64 15/2)))) |
(sqrt.f64 (*.f64 (pow.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 (exp.f64 -15/2) z)) 2) (*.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/8820000000000000000000000000000000000000000000000))) |
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (/.f64 (sqrt.f64 2) z) (*.f64 (exp.f64 -15/2) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))) |
(*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z)))) |
(sqrt.f64 (*.f64 (*.f64 (PI.f64) 2) (pow.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (exp.f64 -15/2) z) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) 2))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (+.f64 (*.f64 (exp.f64 -15/2) 441081074802767819940949738751/705600000000000000000000000) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z))))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (+.f64 (*.f64 (exp.f64 -15/2) 54901901787731453525296637639/78400000000000000000000000) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z))))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (pow.f64 (/.f64 (exp.f64 -5/2) (cbrt.f64 z)) 3)))) |
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z)) (sqrt.f64 (*.f64 (PI.f64) 2))))) 3) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (fma.f64 (exp.f64 -15/2) 54901901787731453525296637639/78400000000000000000000000 (*.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 z) (exp.f64 -15/2))))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (+.f64 (*.f64 255237898068937946539631952839/705600000000000000000000000 (exp.f64 -15/2)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z)))))) |
| Outputs |
|---|
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (+.f64 (*.f64 (exp.f64 -15/2) 54901901787731453525296637639/78400000000000000000000000) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z))))) |
1 calls:
| 16.0ms | z |
| Error | Segments | Branch |
|---|---|---|
| 1.3b | 1 | z |
Compiled 856 to 693 computations (19% saved)
| Inputs |
|---|
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 15/2)))) |
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) (/.f64 z (sqrt.f64 15/2))))) |
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) z))) |
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z)) (sqrt.f64 15/2))) |
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 (exp.f64 -15/2) z)))) |
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) (*.f64 z (pow.f64 (-.f64 15/2 z) (+.f64 z -1/2)))))) |
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) (/.f64 z (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))) |
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (/.f64 (exp.f64 -15/2) z) (pow.f64 (-.f64 15/2 z) (+.f64 -1/2 z))))) |
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 (pow.f64 (-.f64 15/2 z) (+.f64 -1/2 z))) (/.f64 (exp.f64 -15/2) z))) |
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (/.f64 (exp.f64 -15/2) (pow.f64 (-.f64 15/2 z) (+.f64 z -1/2))) (/.f64 1106209385320415913103082059/4200000000000000000000000 z))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z)))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 z) (exp.f64 -15/2)))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (/.f64 (exp.f64 -15/2) z) 909016194325544373103082059/4200000000000000000000000))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 z (exp.f64 -15/2))))) |
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z)) (sqrt.f64 (*.f64 2 (PI.f64))))) |
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (/.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) z) (sqrt.f64 (*.f64 2 (PI.f64))))) |
(/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 (/.f64 z (exp.f64 -15/2)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))) |
(/.f64 (*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (sqrt.f64 (*.f64 2 (PI.f64)))) (/.f64 z (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) |
(/.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2))) z) |
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (*.f64 (pow.f64 (-.f64 15/2 z) (neg.f64 (-.f64 1/2 z))) z))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 1 z) (exp.f64 -15/2))))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 1 (/.f64 z (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)))))) |
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 1 z) (/.f64 (exp.f64 -15/2) (pow.f64 (-.f64 15/2 z) (neg.f64 (-.f64 1/2 z))))))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) 909016194325544373103082059/4200000000000000000000000) (/.f64 z (exp.f64 -15/2))))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) 904816194325545171523082059/4200000000000000000000000) (/.f64 (exp.f64 -15/2) z)))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (/.f64 (exp.f64 -15/2) z) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) 904816194325545171523082059/4200000000000000000000000)))))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 (+.f64 (-.f64 -5000000000000/3147848041806007 (/.f64 z -3147848041806007/2500000000000)) (*.f64 (*.f64 (-.f64 1 z) 10000000000000/6765203681218851) 1)) (*.f64 (*.f64 (-.f64 1 z) 10000000000000/6765203681218851) (-.f64 -5000000000000/3147848041806007 (/.f64 z -3147848041806007/2500000000000))))) 904816194325545171523082059/4200000000000000000000000) (/.f64 (exp.f64 -15/2) z)))) |
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (sqrt.f64 2) (/.f64 z (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) (sqrt.f64 (PI.f64)))) |
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64)))) |
(*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (sqrt.f64 15/2) (*.f64 (sqrt.f64 2) (exp.f64 -15/2))) (/.f64 z (sqrt.f64 (PI.f64))))) |
(*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (PI.f64))) (/.f64 (sqrt.f64 2) (/.f64 (/.f64 z (exp.f64 -15/2)) (sqrt.f64 15/2)))) |
(sqrt.f64 (*.f64 (pow.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 (exp.f64 -15/2) z)) 2) (*.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/8820000000000000000000000000000000000000000000000))) |
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (/.f64 (sqrt.f64 2) z) (*.f64 (exp.f64 -15/2) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))) |
(*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z)))) |
(sqrt.f64 (*.f64 (*.f64 (PI.f64) 2) (pow.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (exp.f64 -15/2) z) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) 2))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (+.f64 (*.f64 (exp.f64 -15/2) 441081074802767819940949738751/705600000000000000000000000) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z))))) |
| Outputs |
|---|
(*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (PI.f64))) (/.f64 (sqrt.f64 2) (/.f64 (/.f64 z (exp.f64 -15/2)) (sqrt.f64 15/2)))) |
1 calls:
| 15.0ms | z |
| Error | Segments | Branch |
|---|---|---|
| 1.7b | 1 | z |
Compiled 736 to 593 computations (19.4% saved)
| Inputs |
|---|
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 15/2)))) |
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) (/.f64 z (sqrt.f64 15/2))))) |
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) z))) |
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z)) (sqrt.f64 15/2))) |
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 (exp.f64 -15/2) z)))) |
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) (*.f64 z (pow.f64 (-.f64 15/2 z) (+.f64 z -1/2)))))) |
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) (/.f64 z (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))) |
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (/.f64 (exp.f64 -15/2) z) (pow.f64 (-.f64 15/2 z) (+.f64 -1/2 z))))) |
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 (pow.f64 (-.f64 15/2 z) (+.f64 -1/2 z))) (/.f64 (exp.f64 -15/2) z))) |
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (/.f64 (exp.f64 -15/2) (pow.f64 (-.f64 15/2 z) (+.f64 z -1/2))) (/.f64 1106209385320415913103082059/4200000000000000000000000 z))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z)))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 z) (exp.f64 -15/2)))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (/.f64 (exp.f64 -15/2) z) 909016194325544373103082059/4200000000000000000000000))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 z (exp.f64 -15/2))))) |
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z)) (sqrt.f64 (*.f64 2 (PI.f64))))) |
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (/.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) z) (sqrt.f64 (*.f64 2 (PI.f64))))) |
(/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 (/.f64 z (exp.f64 -15/2)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))) |
(/.f64 (*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (sqrt.f64 (*.f64 2 (PI.f64)))) (/.f64 z (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) |
(/.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2))) z) |
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (*.f64 (pow.f64 (-.f64 15/2 z) (neg.f64 (-.f64 1/2 z))) z))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 1 z) (exp.f64 -15/2))))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 1 (/.f64 z (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)))))) |
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 1 z) (/.f64 (exp.f64 -15/2) (pow.f64 (-.f64 15/2 z) (neg.f64 (-.f64 1/2 z))))))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) 909016194325544373103082059/4200000000000000000000000) (/.f64 z (exp.f64 -15/2))))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) 904816194325545171523082059/4200000000000000000000000) (/.f64 (exp.f64 -15/2) z)))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (/.f64 (exp.f64 -15/2) z) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) 904816194325545171523082059/4200000000000000000000000)))))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 (+.f64 (-.f64 -5000000000000/3147848041806007 (/.f64 z -3147848041806007/2500000000000)) (*.f64 (*.f64 (-.f64 1 z) 10000000000000/6765203681218851) 1)) (*.f64 (*.f64 (-.f64 1 z) 10000000000000/6765203681218851) (-.f64 -5000000000000/3147848041806007 (/.f64 z -3147848041806007/2500000000000))))) 904816194325545171523082059/4200000000000000000000000) (/.f64 (exp.f64 -15/2) z)))) |
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (sqrt.f64 2) (/.f64 z (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) (sqrt.f64 (PI.f64)))) |
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64)))) |
(*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (sqrt.f64 15/2) (*.f64 (sqrt.f64 2) (exp.f64 -15/2))) (/.f64 z (sqrt.f64 (PI.f64))))) |
| Outputs |
|---|
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 (pow.f64 (-.f64 15/2 z) (+.f64 -1/2 z))) (/.f64 (exp.f64 -15/2) z))) |
1 calls:
| 13.0ms | z |
| Error | Segments | Branch |
|---|---|---|
| 1.7b | 1 | z |
Compiled 617 to 499 computations (19.1% saved)
| Inputs |
|---|
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 15/2)))) |
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) (/.f64 z (sqrt.f64 15/2))))) |
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) z))) |
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z)) (sqrt.f64 15/2))) |
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 (exp.f64 -15/2) z)))) |
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) (*.f64 z (pow.f64 (-.f64 15/2 z) (+.f64 z -1/2)))))) |
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) (/.f64 z (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))) |
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (/.f64 (exp.f64 -15/2) z) (pow.f64 (-.f64 15/2 z) (+.f64 -1/2 z))))) |
| Outputs |
|---|
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) (*.f64 z (pow.f64 (-.f64 15/2 z) (+.f64 z -1/2)))))) |
1 calls:
| 5.0ms | z |
| Error | Segments | Branch |
|---|---|---|
| 1.9b | 1 | z |
Compiled 135 to 111 computations (17.8% saved)
| Inputs |
|---|
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 15/2)))) |
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) (/.f64 z (sqrt.f64 15/2))))) |
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) z))) |
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z)) (sqrt.f64 15/2))) |
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 (exp.f64 -15/2) z)))) |
| Outputs |
|---|
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) z))) |
1 calls:
| 4.0ms | z |
| Error | Segments | Branch |
|---|---|---|
| 1.9b | 1 | z |
Compiled 78 to 66 computations (15.4% saved)
Total -0.1b remaining (-6.5%)
Threshold costs -0.1b (-6.5%)
| Inputs |
|---|
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 15/2)))) |
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) (/.f64 z (sqrt.f64 15/2))))) |
| Outputs |
|---|
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 15/2)))) |
1 calls:
| 3.0ms | z |
| Error | Segments | Branch |
|---|---|---|
| 2.0b | 1 | z |
Compiled 31 to 27 computations (12.9% saved)
| 1× | egg-herbie |
| 420× | distribute-rgt-neg-in_binary64 |
| 314× | cancel-sign-sub-inv_binary64 |
| 297× | neg-sub0_binary64 |
| 297× | neg-mul-1_binary64 |
| 270× | distribute-lft-neg-in_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 209 | 826 |
| 1 | 362 | 820 |
| 2 | 394 | 820 |
| 3 | 441 | 820 |
| 4 | 498 | 820 |
| 5 | 554 | 820 |
| 6 | 616 | 820 |
| 7 | 671 | 820 |
| 8 | 710 | 820 |
| 9 | 768 | 820 |
| 10 | 888 | 820 |
| 11 | 1078 | 820 |
| 12 | 1348 | 820 |
| 13 | 1718 | 820 |
| 14 | 2186 | 820 |
| 15 | 2699 | 820 |
| 16 | 3103 | 820 |
| 17 | 3344 | 820 |
| 18 | 3534 | 820 |
| 19 | 3597 | 820 |
| 20 | 3627 | 820 |
| 21 | 3735 | 820 |
| 22 | 3831 | 820 |
| 23 | 3840 | 820 |
| 24 | 3843 | 820 |
| 25 | 3843 | 820 |
| 1× | fuel |
| 1× | saturated |
| Inputs |
|---|
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 1 z) -1) 15/2) (-.f64 (-.f64 1 z) 1/2))) (exp.f64 (+.f64 (neg.f64 (-.f64 (-.f64 1 z) -6)) -1/2))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 (-.f64 1 z) 0))) (/.f64 -3147848041806007/2500000000000 (-.f64 (-.f64 1 z) -1))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 (-.f64 1 z) -2)) (/.f64 -883075145810703/5000000000000 (-.f64 (-.f64 1 z) -3)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 (-.f64 1 z) -4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 (-.f64 1 z) -5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 (-.f64 1 z) -6)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 (-.f64 1 z) -7)))))) |
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2)))) (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 (+.f64 469507597606837/5000000000000 (*.f64 5826188486005177/10000000000000 z)) (*.f64 (-.f64 2 z) (-.f64 1 z)))) (+.f64 (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2)))))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2)))))) |
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 (+.f64 7902188421553103227/30000000000000000 (*.f64 39321001939258358983/90000000000000000 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (+.f64 (*.f64 102757979785251069442117317613/235200000000000000000000000 (exp.f64 -15/2)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z)))))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (+.f64 (*.f64 (exp.f64 -15/2) 54901901787731453525296637639/78400000000000000000000000) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z))))) |
(*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (PI.f64))) (/.f64 (sqrt.f64 2) (/.f64 (/.f64 z (exp.f64 -15/2)) (sqrt.f64 15/2)))) |
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 (pow.f64 (-.f64 15/2 z) (+.f64 -1/2 z))) (/.f64 (exp.f64 -15/2) z))) |
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) (*.f64 z (pow.f64 (-.f64 15/2 z) (+.f64 z -1/2)))))) |
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) z))) |
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 15/2)))) |
| Outputs |
|---|
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 1 z) -1) 15/2) (-.f64 (-.f64 1 z) 1/2))) (exp.f64 (+.f64 (neg.f64 (-.f64 (-.f64 1 z) -6)) -1/2))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 (-.f64 1 z) 0))) (/.f64 -3147848041806007/2500000000000 (-.f64 (-.f64 1 z) -1))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 (-.f64 1 z) -2)) (/.f64 -883075145810703/5000000000000 (-.f64 (-.f64 1 z) -3)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 (-.f64 1 z) -4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 (-.f64 1 z) -5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 (-.f64 1 z) -6)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 (-.f64 1 z) -7)))))) |
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 1 z) -1) 15/2) (+.f64 (-.f64 1 z) -1/2))) (exp.f64 (+.f64 (neg.f64 (+.f64 (-.f64 1 z) 6)) -1/2))) (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))))) |
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 1 z) -1) 15/2) (+.f64 (-.f64 1 z) -1/2))) (exp.f64 (+.f64 (+.f64 -6 (+.f64 -1 z)) -1/2))) (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))))) |
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 1 z) -1) 15/2) (+.f64 (-.f64 1 z) -1/2))) (exp.f64 (+.f64 (+.f64 -6 (+.f64 z -1)) -1/2))) (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))))) |
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 1 z) -1) 15/2) (+.f64 (-.f64 1 z) -1/2))) (exp.f64 (+.f64 (+.f64 -6 (+.f64 z -1)) -1/2))) (+.f64 (-.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))) (+.f64 (+.f64 (/.f64 3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (+.f64 -9999999999998099/10000000000000000 (/.f64 -6765203681218851/10000000000000 (-.f64 1 z)))) (+.f64 (/.f64 -7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z))) (/.f64 883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))))) |
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2)))) (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))))) |
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (+.f64 (neg.f64 (-.f64 1 z)) -13/2))) (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))) (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (/.f64 7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z))))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))))))))) |
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (+.f64 (+.f64 -1 z) -13/2))) (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))) (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (/.f64 7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z))))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))))))))) |
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (+.f64 (+.f64 z -1) -13/2))) (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))) (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (/.f64 7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z))))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))))))))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 (+.f64 469507597606837/5000000000000 (*.f64 5826188486005177/10000000000000 z)) (*.f64 (-.f64 2 z) (-.f64 1 z)))) (+.f64 (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2)))))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 (+.f64 469507597606837/5000000000000 (*.f64 z 5826188486005177/10000000000000)) (*.f64 (-.f64 1 z) (-.f64 2 z)))) (+.f64 (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2)))))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 (+.f64 469507597606837/5000000000000 (*.f64 z 5826188486005177/10000000000000)) (*.f64 (-.f64 1 z) (-.f64 2 z)))) (-.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (-.f64 (/.f64 -2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2)))))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 (+.f64 469507597606837/5000000000000 (*.f64 z 5826188486005177/10000000000000)) (*.f64 (-.f64 1 z) (-.f64 2 z)))) (-.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (+.f64 (+.f64 (/.f64 -7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 883075145810703/5000000000000 (-.f64 4 z))) (/.f64 -2501468655737381/200000000000000 (-.f64 5 z))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2)))))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2)))))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))))))) |
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 (+.f64 7902188421553103227/30000000000000000 (*.f64 39321001939258358983/90000000000000000 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))) |
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (+.f64 7902188421553103227/30000000000000000 (*.f64 z 39321001939258358983/90000000000000000))))) |
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))) (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (+.f64 7902188421553103227/30000000000000000 (*.f64 z 39321001939258358983/90000000000000000))))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (+.f64 (*.f64 102757979785251069442117317613/235200000000000000000000000 (exp.f64 -15/2)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z)))))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (+.f64 (*.f64 (exp.f64 -15/2) 102757979785251069442117317613/235200000000000000000000000) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z)))))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (-.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z)) (*.f64 (exp.f64 -15/2) -102757979785251069442117317613/235200000000000000000000000))))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (+.f64 (*.f64 (exp.f64 -15/2) 54901901787731453525296637639/78400000000000000000000000) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z))))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z)) (*.f64 (exp.f64 -15/2) 54901901787731453525296637639/78400000000000000000000000)))) |
(*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (PI.f64))) (/.f64 (sqrt.f64 2) (/.f64 (/.f64 z (exp.f64 -15/2)) (sqrt.f64 15/2)))) |
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 (pow.f64 (-.f64 15/2 z) (+.f64 -1/2 z))) (/.f64 (exp.f64 -15/2) z))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (/.f64 (exp.f64 -15/2) z) (/.f64 1106209385320415913103082059/4200000000000000000000000 (pow.f64 (-.f64 15/2 z) (+.f64 z -1/2))))) |
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) (*.f64 z (pow.f64 (-.f64 15/2 z) (+.f64 z -1/2)))))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) (*.f64 z (pow.f64 (-.f64 15/2 z) (+.f64 z -1/2)))))) |
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) z))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) z))) |
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 15/2)))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 15/2)))) |
Compiled 536 to 454 computations (15.3% saved)
| 1× | egg-herbie |
| 503× | associate-/r*_binary64 |
| 345× | associate-/l*_binary64 |
| 337× | associate-+l+_binary64 |
| 288× | associate-+r+_binary64 |
| 271× | distribute-rgt-in_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 61 | 156 |
| 1 | 160 | 147 |
| 2 | 639 | 119 |
| 3 | 4381 | 115 |
| 1× | node limit |
Compiled 3392 to 2972 computations (12.4% saved)
Compiled 525 to 420 computations (20% saved)
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