Time bar (total: 58.1s)
| 1× | search |
| True | Other | False | Iter |
|---|---|---|---|
| 0% | 74.9% | 25.1% | 0 |
| 0% | 74.9% | 25.1% | 1 |
| 0% | 74.9% | 25.1% | 2 |
| 18.7% | 56.2% | 25.1% | 3 |
| 37.5% | 37.5% | 25.1% | 4 |
| 42.1% | 32.8% | 25.1% | 5 |
| 46.8% | 28.1% | 25.1% | 6 |
| 48% | 26.9% | 25.1% | 7 |
| 49.2% | 25.8% | 25.1% | 8 |
| 49.5% | 25.5% | 25.1% | 9 |
| 49.8% | 25.2% | 25.1% | 10 |
| 49.8% | 25.2% | 25.1% | 11 |
| 49.8% | 25.1% | 25.1% | 12 |
| 49.9% | 25% | 25.1% | 13 |
| 49.9% | 25% | 25.1% | 14 |
Compiled 127 to 112 computations (11.8% saved)
| 47.8s | 3939× | body | 8192 | exit |
| 3.9s | 8256× | body | 128 | valid |
| 92.0ms | 187× | body | 128 | invalid |
| 2× | egg-herbie |
| 343× | associate-+l+_binary64 |
| 293× | associate-+r+_binary64 |
| 271× | distribute-rgt-in_binary64 |
| 266× | distribute-lft-in_binary64 |
| 222× | associate-*r*_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 61 | 156 |
| 1 | 160 | 147 |
| 2 | 637 | 119 |
| 3 | 4406 | 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 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.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 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))))))) |
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 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 z)))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))) |
Compiled 124 to 110 computations (11.3% saved)
| 1× | egg-herbie |
| 343× | associate-+l+_binary64 |
| 293× | associate-+r+_binary64 |
| 271× | distribute-rgt-in_binary64 |
| 266× | distribute-lft-in_binary64 |
| 222× | associate-*r*_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 61 | 156 |
| 1 | 160 | 147 |
| 2 | 637 | 119 |
| 3 | 4406 | 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 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.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 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))))))) |
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 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 z)))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))) |
3 alts after pruning (3 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 0 | 2 | 2 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 0 | 0 |
| Total | 0 | 3 | 3 |
| Status | Error | Program |
|---|---|---|
| ▶ | 0.5b | (*.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 z)))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))) |
| 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 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 596 to 508 computations (14.8% saved)
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 -883075145810703/5000000000000 (-.f64 4 z))) |
| ✓ | 1.0b | (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z))) |
| ✓ | 1.0b | (sqrt.f64 (*.f64 (PI.f64) 2)) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | z | @ | 0 | (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z))) |
| 1.0ms | z | @ | -inf | (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z))) |
| 1.0ms | z | @ | inf | (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) |
| 1.0ms | z | @ | inf | (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z))) |
| 1.0ms | z | @ | -inf | (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) |
| 1× | batch-egg-rewrite |
| 260× | add-sqr-sqrt_binary64 |
| 249× | add-log-exp_binary64 |
| 248× | log1p-expm1-u_binary64 |
| 248× | expm1-log1p-u_binary64 |
| 247× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 22 | 48 |
| 1 | 520 | 48 |
| 1× | node limit |
| Inputs |
|---|
(sqrt.f64 (*.f64 (PI.f64) 2)) |
(/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z))) |
(+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) |
(/.f64 7713234287776531/10000000000000 (-.f64 3 z)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 (PI.f64) 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (*.f64 (PI.f64) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (PI.f64) 2))) (cbrt.f64 (sqrt.f64 (*.f64 (PI.f64) 2)))) (cbrt.f64 (sqrt.f64 (*.f64 (PI.f64) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sqrt.f64 (*.f64 (PI.f64) 2))) (sqrt.f64 (sqrt.f64 (*.f64 (PI.f64) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (PI.f64) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 (PI.f64) 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (*.f64 (PI.f64) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 (PI.f64) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 (PI.f64) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (*.f64 (PI.f64) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 (PI.f64) 2)))))))) |
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| 1× | egg-herbie |
| 632× | fma-neg_binary64 |
| 450× | fma-def_binary64 |
| 197× | unsub-neg_binary64 |
| 184× | associate-+l+_binary64 |
| 157× | distribute-rgt-in_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 131 | 911 |
| 1 | 373 | 849 |
| 2 | 1070 | 802 |
| 3 | 4066 | 792 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (sqrt.f64 15/2) (exp.f64 15/2)) |
(+.f64 (*.f64 (-.f64 (/.f64 (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (sqrt.f64 15/2)) (exp.f64 15/2)) (*.f64 -1 (/.f64 (sqrt.f64 15/2) (exp.f64 15/2)))) z) (/.f64 (sqrt.f64 15/2) (exp.f64 15/2))) |
(+.f64 (*.f64 (-.f64 (/.f64 (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (sqrt.f64 15/2)) (exp.f64 15/2)) (*.f64 -1 (/.f64 (sqrt.f64 15/2) (exp.f64 15/2)))) z) (+.f64 (*.f64 (-.f64 (/.f64 (*.f64 (+.f64 29/225 (*.f64 1/2 (pow.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) 2))) (sqrt.f64 15/2)) (exp.f64 15/2)) (+.f64 (*.f64 1/2 (/.f64 (sqrt.f64 15/2) (exp.f64 15/2))) (*.f64 -1 (-.f64 (/.f64 (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (sqrt.f64 15/2)) (exp.f64 15/2)) (*.f64 -1 (/.f64 (sqrt.f64 15/2) (exp.f64 15/2))))))) (pow.f64 z 2)) (/.f64 (sqrt.f64 15/2) (exp.f64 15/2)))) |
(+.f64 (*.f64 (-.f64 (/.f64 (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (sqrt.f64 15/2)) (exp.f64 15/2)) (*.f64 -1 (/.f64 (sqrt.f64 15/2) (exp.f64 15/2)))) z) (+.f64 (*.f64 (-.f64 (/.f64 (*.f64 (+.f64 29/225 (*.f64 1/2 (pow.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) 2))) (sqrt.f64 15/2)) (exp.f64 15/2)) (+.f64 (*.f64 1/2 (/.f64 (sqrt.f64 15/2) (exp.f64 15/2))) (*.f64 -1 (-.f64 (/.f64 (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (sqrt.f64 15/2)) (exp.f64 15/2)) (*.f64 -1 (/.f64 (sqrt.f64 15/2) (exp.f64 15/2))))))) (pow.f64 z 2)) (+.f64 (*.f64 (pow.f64 z 3) (-.f64 (/.f64 (*.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))))) (exp.f64 15/2)) (+.f64 (*.f64 -1/6 (/.f64 (sqrt.f64 15/2) (exp.f64 15/2))) (+.f64 (*.f64 1/2 (-.f64 (/.f64 (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (sqrt.f64 15/2)) (exp.f64 15/2)) (*.f64 -1 (/.f64 (sqrt.f64 15/2) (exp.f64 15/2))))) (*.f64 -1 (-.f64 (/.f64 (*.f64 (+.f64 29/225 (*.f64 1/2 (pow.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) 2))) (sqrt.f64 15/2)) (exp.f64 15/2)) (+.f64 (*.f64 1/2 (/.f64 (sqrt.f64 15/2) (exp.f64 15/2))) (*.f64 -1 (-.f64 (/.f64 (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (sqrt.f64 15/2)) (exp.f64 15/2)) (*.f64 -1 (/.f64 (sqrt.f64 15/2) (exp.f64 15/2)))))))))))) (/.f64 (sqrt.f64 15/2) (exp.f64 15/2))))) |
(/.f64 (exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2))) (exp.f64 (+.f64 (*.f64 -1 z) 15/2))) |
(/.f64 (exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2))) (exp.f64 (+.f64 (*.f64 -1 z) 15/2))) |
(/.f64 (exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2))) (exp.f64 (+.f64 (*.f64 -1 z) 15/2))) |
(/.f64 (exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2))) (exp.f64 (+.f64 (*.f64 -1 z) 15/2))) |
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))))))) |
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)))))) |
| Outputs |
|---|
(/.f64 (sqrt.f64 15/2) (exp.f64 15/2)) |
(+.f64 (*.f64 (-.f64 (/.f64 (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (sqrt.f64 15/2)) (exp.f64 15/2)) (*.f64 -1 (/.f64 (sqrt.f64 15/2) (exp.f64 15/2)))) z) (/.f64 (sqrt.f64 15/2) (exp.f64 15/2))) |
(fma.f64 (-.f64 (/.f64 (fma.f64 -1 (log.f64 15/2) -1/15) (/.f64 (exp.f64 15/2) (sqrt.f64 15/2))) (neg.f64 (/.f64 (sqrt.f64 15/2) (exp.f64 15/2)))) z (/.f64 (sqrt.f64 15/2) (exp.f64 15/2))) |
(fma.f64 (+.f64 (/.f64 (sqrt.f64 15/2) (exp.f64 15/2)) (*.f64 (/.f64 (fma.f64 -1 (log.f64 15/2) -1/15) (exp.f64 15/2)) (sqrt.f64 15/2))) z (/.f64 (sqrt.f64 15/2) (exp.f64 15/2))) |
(fma.f64 (fma.f64 (/.f64 (-.f64 -1/15 (log.f64 15/2)) (exp.f64 15/2)) (sqrt.f64 15/2) (/.f64 (sqrt.f64 15/2) (exp.f64 15/2))) z (/.f64 (sqrt.f64 15/2) (exp.f64 15/2))) |
(fma.f64 (fma.f64 (sqrt.f64 15/2) (/.f64 (-.f64 -1/15 (log.f64 15/2)) (exp.f64 15/2)) (/.f64 (sqrt.f64 15/2) (exp.f64 15/2))) z (/.f64 (sqrt.f64 15/2) (exp.f64 15/2))) |
(+.f64 (*.f64 (-.f64 (/.f64 (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (sqrt.f64 15/2)) (exp.f64 15/2)) (*.f64 -1 (/.f64 (sqrt.f64 15/2) (exp.f64 15/2)))) z) (+.f64 (*.f64 (-.f64 (/.f64 (*.f64 (+.f64 29/225 (*.f64 1/2 (pow.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) 2))) (sqrt.f64 15/2)) (exp.f64 15/2)) (+.f64 (*.f64 1/2 (/.f64 (sqrt.f64 15/2) (exp.f64 15/2))) (*.f64 -1 (-.f64 (/.f64 (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (sqrt.f64 15/2)) (exp.f64 15/2)) (*.f64 -1 (/.f64 (sqrt.f64 15/2) (exp.f64 15/2))))))) (pow.f64 z 2)) (/.f64 (sqrt.f64 15/2) (exp.f64 15/2)))) |
(fma.f64 (-.f64 (/.f64 (fma.f64 -1 (log.f64 15/2) -1/15) (/.f64 (exp.f64 15/2) (sqrt.f64 15/2))) (neg.f64 (/.f64 (sqrt.f64 15/2) (exp.f64 15/2)))) z (fma.f64 (-.f64 (/.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 1/2 (/.f64 (sqrt.f64 15/2) (exp.f64 15/2)) (neg.f64 (-.f64 (/.f64 (fma.f64 -1 (log.f64 15/2) -1/15) (/.f64 (exp.f64 15/2) (sqrt.f64 15/2))) (neg.f64 (/.f64 (sqrt.f64 15/2) (exp.f64 15/2))))))) (*.f64 z z) (/.f64 (sqrt.f64 15/2) (exp.f64 15/2)))) |
(fma.f64 (+.f64 (/.f64 (sqrt.f64 15/2) (exp.f64 15/2)) (*.f64 (/.f64 (fma.f64 -1 (log.f64 15/2) -1/15) (exp.f64 15/2)) (sqrt.f64 15/2))) z (fma.f64 (-.f64 (/.f64 (fma.f64 1/2 (pow.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 2) 29/225) (/.f64 (exp.f64 15/2) (sqrt.f64 15/2))) (-.f64 (*.f64 (/.f64 (sqrt.f64 15/2) (exp.f64 15/2)) 1/2) (+.f64 (/.f64 (sqrt.f64 15/2) (exp.f64 15/2)) (*.f64 (/.f64 (fma.f64 -1 (log.f64 15/2) -1/15) (exp.f64 15/2)) (sqrt.f64 15/2))))) (*.f64 z z) (/.f64 (sqrt.f64 15/2) (exp.f64 15/2)))) |
(fma.f64 (+.f64 (fma.f64 (/.f64 (fma.f64 1/2 (pow.f64 (-.f64 -1/15 (log.f64 15/2)) 2) 29/225) (exp.f64 15/2)) (sqrt.f64 15/2) (fma.f64 (/.f64 (-.f64 -1/15 (log.f64 15/2)) (exp.f64 15/2)) (sqrt.f64 15/2) (/.f64 (sqrt.f64 15/2) (exp.f64 15/2)))) (*.f64 (/.f64 (sqrt.f64 15/2) (exp.f64 15/2)) -1/2)) (*.f64 z z) (fma.f64 (fma.f64 (/.f64 (-.f64 -1/15 (log.f64 15/2)) (exp.f64 15/2)) (sqrt.f64 15/2) (/.f64 (sqrt.f64 15/2) (exp.f64 15/2))) z (/.f64 (sqrt.f64 15/2) (exp.f64 15/2)))) |
(fma.f64 z (+.f64 (fma.f64 (sqrt.f64 15/2) (/.f64 (-.f64 -1/15 (log.f64 15/2)) (exp.f64 15/2)) (/.f64 (sqrt.f64 15/2) (exp.f64 15/2))) (*.f64 z (fma.f64 (sqrt.f64 15/2) (/.f64 (fma.f64 1/2 (pow.f64 (-.f64 -1/15 (log.f64 15/2)) 2) 29/225) (exp.f64 15/2)) (fma.f64 (/.f64 (sqrt.f64 15/2) (exp.f64 15/2)) -1/2 (fma.f64 (sqrt.f64 15/2) (/.f64 (-.f64 -1/15 (log.f64 15/2)) (exp.f64 15/2)) (/.f64 (sqrt.f64 15/2) (exp.f64 15/2))))))) (/.f64 (sqrt.f64 15/2) (exp.f64 15/2))) |
(+.f64 (*.f64 (-.f64 (/.f64 (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (sqrt.f64 15/2)) (exp.f64 15/2)) (*.f64 -1 (/.f64 (sqrt.f64 15/2) (exp.f64 15/2)))) z) (+.f64 (*.f64 (-.f64 (/.f64 (*.f64 (+.f64 29/225 (*.f64 1/2 (pow.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) 2))) (sqrt.f64 15/2)) (exp.f64 15/2)) (+.f64 (*.f64 1/2 (/.f64 (sqrt.f64 15/2) (exp.f64 15/2))) (*.f64 -1 (-.f64 (/.f64 (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (sqrt.f64 15/2)) (exp.f64 15/2)) (*.f64 -1 (/.f64 (sqrt.f64 15/2) (exp.f64 15/2))))))) (pow.f64 z 2)) (+.f64 (*.f64 (pow.f64 z 3) (-.f64 (/.f64 (*.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))))) (exp.f64 15/2)) (+.f64 (*.f64 -1/6 (/.f64 (sqrt.f64 15/2) (exp.f64 15/2))) (+.f64 (*.f64 1/2 (-.f64 (/.f64 (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (sqrt.f64 15/2)) (exp.f64 15/2)) (*.f64 -1 (/.f64 (sqrt.f64 15/2) (exp.f64 15/2))))) (*.f64 -1 (-.f64 (/.f64 (*.f64 (+.f64 29/225 (*.f64 1/2 (pow.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) 2))) (sqrt.f64 15/2)) (exp.f64 15/2)) (+.f64 (*.f64 1/2 (/.f64 (sqrt.f64 15/2) (exp.f64 15/2))) (*.f64 -1 (-.f64 (/.f64 (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (sqrt.f64 15/2)) (exp.f64 15/2)) (*.f64 -1 (/.f64 (sqrt.f64 15/2) (exp.f64 15/2)))))))))))) (/.f64 (sqrt.f64 15/2) (exp.f64 15/2))))) |
(fma.f64 (-.f64 (/.f64 (fma.f64 -1 (log.f64 15/2) -1/15) (/.f64 (exp.f64 15/2) (sqrt.f64 15/2))) (neg.f64 (/.f64 (sqrt.f64 15/2) (exp.f64 15/2)))) z (fma.f64 (-.f64 (/.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 1/2 (/.f64 (sqrt.f64 15/2) (exp.f64 15/2)) (neg.f64 (-.f64 (/.f64 (fma.f64 -1 (log.f64 15/2) -1/15) (/.f64 (exp.f64 15/2) (sqrt.f64 15/2))) (neg.f64 (/.f64 (sqrt.f64 15/2) (exp.f64 15/2))))))) (*.f64 z z) (fma.f64 (pow.f64 z 3) (-.f64 (/.f64 (sqrt.f64 15/2) (/.f64 (exp.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 -1/6 (/.f64 (sqrt.f64 15/2) (exp.f64 15/2)) (fma.f64 1/2 (-.f64 (/.f64 (fma.f64 -1 (log.f64 15/2) -1/15) (/.f64 (exp.f64 15/2) (sqrt.f64 15/2))) (neg.f64 (/.f64 (sqrt.f64 15/2) (exp.f64 15/2)))) (neg.f64 (-.f64 (/.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 1/2 (/.f64 (sqrt.f64 15/2) (exp.f64 15/2)) (neg.f64 (-.f64 (/.f64 (fma.f64 -1 (log.f64 15/2) -1/15) (/.f64 (exp.f64 15/2) (sqrt.f64 15/2))) (neg.f64 (/.f64 (sqrt.f64 15/2) (exp.f64 15/2))))))))))) (/.f64 (sqrt.f64 15/2) (exp.f64 15/2))))) |
(fma.f64 (+.f64 (/.f64 (sqrt.f64 15/2) (exp.f64 15/2)) (*.f64 (/.f64 (fma.f64 -1 (log.f64 15/2) -1/15) (exp.f64 15/2)) (sqrt.f64 15/2))) z (fma.f64 (-.f64 (/.f64 (fma.f64 1/2 (pow.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 2) 29/225) (/.f64 (exp.f64 15/2) (sqrt.f64 15/2))) (-.f64 (*.f64 (/.f64 (sqrt.f64 15/2) (exp.f64 15/2)) 1/2) (+.f64 (/.f64 (sqrt.f64 15/2) (exp.f64 15/2)) (*.f64 (/.f64 (fma.f64 -1 (log.f64 15/2) -1/15) (exp.f64 15/2)) (sqrt.f64 15/2))))) (*.f64 z z) (fma.f64 (pow.f64 z 3) (-.f64 (*.f64 (/.f64 (sqrt.f64 15/2) (exp.f64 15/2)) (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 (fma.f64 (/.f64 (sqrt.f64 15/2) (exp.f64 15/2)) -1/6 (*.f64 (+.f64 (/.f64 (sqrt.f64 15/2) (exp.f64 15/2)) (*.f64 (/.f64 (fma.f64 -1 (log.f64 15/2) -1/15) (exp.f64 15/2)) (sqrt.f64 15/2))) 1/2)) (-.f64 (/.f64 (fma.f64 1/2 (pow.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 2) 29/225) (/.f64 (exp.f64 15/2) (sqrt.f64 15/2))) (-.f64 (*.f64 (/.f64 (sqrt.f64 15/2) (exp.f64 15/2)) 1/2) (+.f64 (/.f64 (sqrt.f64 15/2) (exp.f64 15/2)) (*.f64 (/.f64 (fma.f64 -1 (log.f64 15/2) -1/15) (exp.f64 15/2)) (sqrt.f64 15/2))))))) (/.f64 (sqrt.f64 15/2) (exp.f64 15/2))))) |
(fma.f64 (fma.f64 (/.f64 (-.f64 -1/15 (log.f64 15/2)) (exp.f64 15/2)) (sqrt.f64 15/2) (/.f64 (sqrt.f64 15/2) (exp.f64 15/2))) z (fma.f64 z (*.f64 z (+.f64 (fma.f64 (/.f64 (fma.f64 1/2 (pow.f64 (-.f64 -1/15 (log.f64 15/2)) 2) 29/225) (exp.f64 15/2)) (sqrt.f64 15/2) (fma.f64 (/.f64 (-.f64 -1/15 (log.f64 15/2)) (exp.f64 15/2)) (sqrt.f64 15/2) (/.f64 (sqrt.f64 15/2) (exp.f64 15/2)))) (*.f64 (/.f64 (sqrt.f64 15/2) (exp.f64 15/2)) -1/2))) (fma.f64 (pow.f64 z 3) (+.f64 (+.f64 (*.f64 (/.f64 (sqrt.f64 15/2) (exp.f64 15/2)) (-.f64 (fma.f64 1/6 (pow.f64 (-.f64 -1/15 (log.f64 15/2)) 3) (+.f64 (*.f64 (log.f64 15/2) -29/225) -1/10125)) -1/6)) (*.f64 -1/2 (fma.f64 (/.f64 (-.f64 -1/15 (log.f64 15/2)) (exp.f64 15/2)) (sqrt.f64 15/2) (/.f64 (sqrt.f64 15/2) (exp.f64 15/2))))) (+.f64 (fma.f64 (/.f64 (fma.f64 1/2 (pow.f64 (-.f64 -1/15 (log.f64 15/2)) 2) 29/225) (exp.f64 15/2)) (sqrt.f64 15/2) (fma.f64 (/.f64 (-.f64 -1/15 (log.f64 15/2)) (exp.f64 15/2)) (sqrt.f64 15/2) (/.f64 (sqrt.f64 15/2) (exp.f64 15/2)))) (*.f64 (/.f64 (sqrt.f64 15/2) (exp.f64 15/2)) -1/2))) (/.f64 (sqrt.f64 15/2) (exp.f64 15/2))))) |
(fma.f64 (fma.f64 (sqrt.f64 15/2) (/.f64 (-.f64 -1/15 (log.f64 15/2)) (exp.f64 15/2)) (/.f64 (sqrt.f64 15/2) (exp.f64 15/2))) z (fma.f64 (*.f64 z z) (+.f64 (*.f64 z (+.f64 (fma.f64 (/.f64 (sqrt.f64 15/2) (exp.f64 15/2)) (-.f64 (fma.f64 1/6 (pow.f64 (-.f64 -1/15 (log.f64 15/2)) 3) (+.f64 (*.f64 (log.f64 15/2) -29/225) -1/10125)) -1/6) (fma.f64 (sqrt.f64 15/2) (/.f64 (fma.f64 1/2 (pow.f64 (-.f64 -1/15 (log.f64 15/2)) 2) 29/225) (exp.f64 15/2)) (fma.f64 (/.f64 (sqrt.f64 15/2) (exp.f64 15/2)) -1/2 (fma.f64 (sqrt.f64 15/2) (/.f64 (-.f64 -1/15 (log.f64 15/2)) (exp.f64 15/2)) (/.f64 (sqrt.f64 15/2) (exp.f64 15/2)))))) (*.f64 -1/2 (fma.f64 (sqrt.f64 15/2) (/.f64 (-.f64 -1/15 (log.f64 15/2)) (exp.f64 15/2)) (/.f64 (sqrt.f64 15/2) (exp.f64 15/2)))))) (fma.f64 (sqrt.f64 15/2) (/.f64 (fma.f64 1/2 (pow.f64 (-.f64 -1/15 (log.f64 15/2)) 2) 29/225) (exp.f64 15/2)) (fma.f64 (/.f64 (sqrt.f64 15/2) (exp.f64 15/2)) -1/2 (fma.f64 (sqrt.f64 15/2) (/.f64 (-.f64 -1/15 (log.f64 15/2)) (exp.f64 15/2)) (/.f64 (sqrt.f64 15/2) (exp.f64 15/2)))))) (/.f64 (sqrt.f64 15/2) (exp.f64 15/2)))) |
(/.f64 (exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2))) (exp.f64 (+.f64 (*.f64 -1 z) 15/2))) |
(/.f64 (pow.f64 (fma.f64 -1 z 15/2) (fma.f64 -1 z 1/2)) (exp.f64 (fma.f64 -1 z 15/2))) |
(/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z))) |
(/.f64 (exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2))) (exp.f64 (+.f64 (*.f64 -1 z) 15/2))) |
(/.f64 (pow.f64 (fma.f64 -1 z 15/2) (fma.f64 -1 z 1/2)) (exp.f64 (fma.f64 -1 z 15/2))) |
(/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z))) |
(/.f64 (exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2))) (exp.f64 (+.f64 (*.f64 -1 z) 15/2))) |
(/.f64 (pow.f64 (fma.f64 -1 z 15/2) (fma.f64 -1 z 1/2)) (exp.f64 (fma.f64 -1 z 15/2))) |
(/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z))) |
(/.f64 (exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2))) (exp.f64 (+.f64 (*.f64 -1 z) 15/2))) |
(/.f64 (pow.f64 (fma.f64 -1 z 15/2) (fma.f64 -1 z 1/2)) (exp.f64 (fma.f64 -1 z 15/2))) |
(/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 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 12777243138120953/60000000000000 (fma.f64 z 53758197989915921/720000000000000 (*.f64 z (*.f64 z 222980468271960011/8640000000000000)))) |
(fma.f64 z 53758197989915921/720000000000000 (fma.f64 z (*.f64 z 222980468271960011/8640000000000000) 12777243138120953/60000000000000)) |
(+.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 12777243138120953/60000000000000 (fma.f64 (pow.f64 z 3) 36630596080989161/4147200000000000 (fma.f64 z 53758197989915921/720000000000000 (*.f64 z (*.f64 z 222980468271960011/8640000000000000))))) |
(fma.f64 (pow.f64 z 3) 36630596080989161/4147200000000000 (fma.f64 z 53758197989915921/720000000000000 (fma.f64 z (*.f64 z 222980468271960011/8640000000000000) 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)) |
(+.f64 (/.f64 (/.f64 -16075101696843969/10000000000000 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 -16075101696843969/10000000000000 (*.f64 z z)) (+.f64 (/.f64 47576671969241/80000000000 z) (/.f64 41160703924046283/10000000000000 (pow.f64 z 3)))) |
(+.f64 (/.f64 (/.f64 -16075101696843969/10000000000000 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 (/.f64 16075101696843969/10000000000000 (*.f64 z z)) (/.f64 95223707106196353/10000000000000 (pow.f64 z 4))) (+.f64 (/.f64 47576671969241/80000000000 z) (/.f64 41160703924046283/10000000000000 (pow.f64 z 3))))) |
(-.f64 (/.f64 -16075101696843969/10000000000000 (*.f64 z z)) (+.f64 (/.f64 41160703924046283/10000000000000 (pow.f64 z 3)) (+.f64 (/.f64 47576671969241/80000000000 z) (/.f64 95223707106196353/10000000000000 (pow.f64 z 4))))) |
(+.f64 (/.f64 (/.f64 -16075101696843969/10000000000000 z) z) (-.f64 (+.f64 (/.f64 -47576671969241/80000000000 z) (/.f64 -41160703924046283/10000000000000 (pow.f64 z 3))) (/.f64 95223707106196353/10000000000000 (pow.f64 z 4)))) |
(+.f64 (/.f64 (/.f64 -16075101696843969/10000000000000 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)) |
(+.f64 (/.f64 (/.f64 -16075101696843969/10000000000000 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 -16075101696843969/10000000000000 (*.f64 z z)) (+.f64 (/.f64 47576671969241/80000000000 z) (/.f64 41160703924046283/10000000000000 (pow.f64 z 3)))) |
(+.f64 (/.f64 (/.f64 -16075101696843969/10000000000000 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 (/.f64 16075101696843969/10000000000000 (*.f64 z z)) (/.f64 95223707106196353/10000000000000 (pow.f64 z 4))) (+.f64 (/.f64 47576671969241/80000000000 z) (/.f64 41160703924046283/10000000000000 (pow.f64 z 3))))) |
(-.f64 (/.f64 -16075101696843969/10000000000000 (*.f64 z z)) (+.f64 (/.f64 41160703924046283/10000000000000 (pow.f64 z 3)) (+.f64 (/.f64 47576671969241/80000000000 z) (/.f64 95223707106196353/10000000000000 (pow.f64 z 4))))) |
(+.f64 (/.f64 (/.f64 -16075101696843969/10000000000000 z) z) (-.f64 (+.f64 (/.f64 -47576671969241/80000000000 z) (/.f64 -41160703924046283/10000000000000 (pow.f64 z 3))) (/.f64 95223707106196353/10000000000000 (pow.f64 z 4)))) |
(+.f64 (/.f64 (/.f64 -16075101696843969/10000000000000 z) z) (+.f64 (/.f64 -47576671969241/80000000000 z) (-.f64 (/.f64 -41160703924046283/10000000000000 (pow.f64 z 3)) (/.f64 95223707106196353/10000000000000 (pow.f64 z 4))))) |
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)) |
(fma.f64 z (*.f64 z 7713234287776531/270000000000000) (fma.f64 z 7713234287776531/90000000000000 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 (pow.f64 z 3) 7713234287776531/810000000000000 (*.f64 (*.f64 z z) 7713234287776531/270000000000000)) (fma.f64 z 7713234287776531/90000000000000 7713234287776531/30000000000000)) |
(fma.f64 z 7713234287776531/90000000000000 (fma.f64 z (*.f64 z 7713234287776531/270000000000000) (fma.f64 (pow.f64 z 3) 7713234287776531/810000000000000 7713234287776531/30000000000000))) |
(/.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)) |
(-.f64 (/.f64 -7713234287776531/10000000000000 z) (/.f64 23139702863329593/10000000000000 (*.f64 z 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 -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 23139702863329593/10000000000000 (*.f64 z z)) (/.f64 7713234287776531/10000000000000 z)) (/.f64 69419108589988779/10000000000000 (pow.f64 z 3))))) |
(+.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 -23139702863329593/10000000000000 (*.f64 z z)) (-.f64 (+.f64 (/.f64 -7713234287776531/10000000000000 z) (/.f64 -69419108589988779/10000000000000 (pow.f64 z 3))) (/.f64 208257325769966337/10000000000000 (pow.f64 z 4)))) |
(+.f64 (/.f64 -23139702863329593/10000000000000 (*.f64 z z)) (+.f64 (+.f64 (/.f64 -7713234287776531/10000000000000 z) (/.f64 -69419108589988779/10000000000000 (pow.f64 z 3))) (/.f64 -208257325769966337/10000000000000 (pow.f64 z 4)))) |
(/.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)) |
(-.f64 (/.f64 -7713234287776531/10000000000000 z) (/.f64 23139702863329593/10000000000000 (*.f64 z 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 -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 23139702863329593/10000000000000 (*.f64 z z)) (/.f64 7713234287776531/10000000000000 z)) (/.f64 69419108589988779/10000000000000 (pow.f64 z 3))))) |
(+.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 -23139702863329593/10000000000000 (*.f64 z z)) (-.f64 (+.f64 (/.f64 -7713234287776531/10000000000000 z) (/.f64 -69419108589988779/10000000000000 (pow.f64 z 3))) (/.f64 208257325769966337/10000000000000 (pow.f64 z 4)))) |
(+.f64 (/.f64 -23139702863329593/10000000000000 (*.f64 z z)) (+.f64 (+.f64 (/.f64 -7713234287776531/10000000000000 z) (/.f64 -69419108589988779/10000000000000 (pow.f64 z 3))) (/.f64 -208257325769966337/10000000000000 (pow.f64 z 4)))) |
8 alts after pruning (8 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 101 | 7 | 108 |
| Fresh | 0 | 1 | 1 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 102 | 8 | 110 |
| Status | Error | Program |
|---|---|---|
| 1.7b | (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z)))) 3)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))) | |
| 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 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))))) | |
| 1.4b | (*.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 z)))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (fma.f64 z 53758197989915921/720000000000000 (fma.f64 z (*.f64 z 222980468271960011/8640000000000000) 12777243138120953/60000000000000))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))) | |
| ▶ | 0.5b | (*.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 z)))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (exp.f64 (log.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))) |
| 0.9b | (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (fma.f64 z (+.f64 (fma.f64 (sqrt.f64 15/2) (/.f64 (-.f64 -1/15 (log.f64 15/2)) (exp.f64 15/2)) (/.f64 (sqrt.f64 15/2) (exp.f64 15/2))) (*.f64 z (fma.f64 (sqrt.f64 15/2) (/.f64 (fma.f64 1/2 (pow.f64 (-.f64 -1/15 (log.f64 15/2)) 2) 29/225) (exp.f64 15/2)) (fma.f64 (/.f64 (sqrt.f64 15/2) (exp.f64 15/2)) -1/2 (fma.f64 (sqrt.f64 15/2) (/.f64 (-.f64 -1/15 (log.f64 15/2)) (exp.f64 15/2)) (/.f64 (sqrt.f64 15/2) (exp.f64 15/2))))))) (/.f64 (sqrt.f64 15/2) (exp.f64 15/2)))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))) | |
| 2.0b | (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (pow.f64 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z))) 3) 1/3)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))) | |
| 2.7b | (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 (PI.f64) 2))) 3) (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z)))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))) | |
| 1.4b | (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z)))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))) |
Compiled 10381 to 8153 computations (21.5% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 1.0b | (+.f64 (exp.f64 (log.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) |
| 1.0b | (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z))) | |
| ✓ | 1.0b | (exp.f64 (log.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) |
| 1.0b | (sqrt.f64 (*.f64 (PI.f64) 2)) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | z | @ | 0 | (exp.f64 (log.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) |
| 0.0ms | z | @ | -inf | (exp.f64 (log.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) |
| 0.0ms | z | @ | inf | (exp.f64 (log.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) |
| 0.0ms | z | @ | -inf | (+.f64 (exp.f64 (log.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) |
| 0.0ms | z | @ | inf | (+.f64 (exp.f64 (log.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) |
| 1× | batch-egg-rewrite |
| 371× | fma-def_binary64 |
| 250× | expm1-udef_binary64 |
| 250× | log1p-udef_binary64 |
| 195× | fma-neg_binary64 |
| 142× | add-sqr-sqrt_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 23 |
| 1 | 293 | 23 |
| 2 | 3947 | 23 |
| 1× | node limit |
| Inputs |
|---|
(exp.f64 (log.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) |
(+.f64 (exp.f64 (log.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) |
| Outputs |
|---|
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7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 7713234287776531/10000000000000 (/.f64 1 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 1 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -883075145810703/5000000000000 (/.f64 1 (-.f64 4 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) 1 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (cbrt.f64 (/.f64 59493983178131529437839794393961/100000000000000000000000000 (pow.f64 (-.f64 3 z) 2))) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 59493983178131529437839794393961/100000000000000000000000000 (pow.f64 (-.f64 3 z) 2))) (cbrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (pow.f64 (cbrt.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) 2) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) 2) (cbrt.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (sqrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (sqrt.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -7713234287776531/10000000000000 (/.f64 1 (neg.f64 (-.f64 3 z))) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 883075145810703/5000000000000 (/.f64 1 (neg.f64 (-.f64 4 z))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (-.f64 3 z)) 7713234287776531/10000000000000 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (-.f64 4 z)) -883075145810703/5000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 7713234287776531/10000000000000 (-.f64 27 (pow.f64 z 3))) (fma.f64 z (+.f64 3 z) 9) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 7713234287776531/10000000000000 (-.f64 9 (*.f64 z z))) (+.f64 3 z) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 -883075145810703/5000000000000 (-.f64 64 (pow.f64 z 3))) (fma.f64 z (+.f64 z 4) 16) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 -883075145810703/5000000000000 (-.f64 16 (*.f64 z z))) (+.f64 z 4) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))))))))) |
| 1× | egg-herbie |
| 381× | sub-neg_binary64 |
| 344× | fma-neg_binary64 |
| 306× | associate-/r*_binary64 |
| 248× | fma-def_binary64 |
| 184× | associate-*l*_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 74 | 388 |
| 1 | 204 | 360 |
| 2 | 572 | 354 |
| 3 | 1835 | 354 |
| 4 | 4751 | 354 |
| 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)))))) |
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))))))) |
| 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 z (*.f64 z 7713234287776531/270000000000000) (fma.f64 7713234287776531/90000000000000 z 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)))) |
(+.f64 (fma.f64 7713234287776531/810000000000000 (pow.f64 z 3) (*.f64 z (*.f64 z 7713234287776531/270000000000000))) (fma.f64 7713234287776531/90000000000000 z 7713234287776531/30000000000000)) |
(fma.f64 7713234287776531/90000000000000 z (fma.f64 z (*.f64 z 7713234287776531/270000000000000) (fma.f64 7713234287776531/810000000000000 (pow.f64 z 3) 7713234287776531/30000000000000))) |
(/.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 -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 23139702863329593/10000000000000 (*.f64 z z)) (/.f64 7713234287776531/10000000000000 z)) (/.f64 69419108589988779/10000000000000 (pow.f64 z 3))))) |
(+.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 -23139702863329593/10000000000000 (*.f64 z z)) (+.f64 (+.f64 (/.f64 -7713234287776531/10000000000000 z) (/.f64 -69419108589988779/10000000000000 (pow.f64 z 3))) (/.f64 -208257325769966337/10000000000000 (pow.f64 z 4)))) |
(+.f64 (+.f64 (/.f64 -7713234287776531/10000000000000 z) (/.f64 -69419108589988779/10000000000000 (pow.f64 z 3))) (+.f64 (/.f64 -23139702863329593/10000000000000 (*.f64 z z)) (/.f64 -208257325769966337/10000000000000 (pow.f64 z 4)))) |
(/.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 -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 23139702863329593/10000000000000 (*.f64 z z)) (/.f64 7713234287776531/10000000000000 z)) (/.f64 69419108589988779/10000000000000 (pow.f64 z 3))))) |
(+.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 -23139702863329593/10000000000000 (*.f64 z z)) (+.f64 (+.f64 (/.f64 -7713234287776531/10000000000000 z) (/.f64 -69419108589988779/10000000000000 (pow.f64 z 3))) (/.f64 -208257325769966337/10000000000000 (pow.f64 z 4)))) |
(+.f64 (+.f64 (/.f64 -7713234287776531/10000000000000 z) (/.f64 -69419108589988779/10000000000000 (pow.f64 z 3))) (+.f64 (/.f64 -23139702863329593/10000000000000 (*.f64 z z)) (/.f64 -208257325769966337/10000000000000 (pow.f64 z 4)))) |
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 12777243138120953/60000000000000 (fma.f64 (*.f64 z z) 222980468271960011/8640000000000000 (*.f64 z 53758197989915921/720000000000000))) |
(fma.f64 z (*.f64 z 222980468271960011/8640000000000000) (fma.f64 z 53758197989915921/720000000000000 12777243138120953/60000000000000)) |
(+.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 12777243138120953/60000000000000 (fma.f64 (pow.f64 z 3) 36630596080989161/4147200000000000 (fma.f64 (*.f64 z z) 222980468271960011/8640000000000000 (*.f64 z 53758197989915921/720000000000000)))) |
(fma.f64 (pow.f64 z 3) 36630596080989161/4147200000000000 (fma.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)) |
(-.f64 (/.f64 -47576671969241/80000000000 z) (/.f64 (/.f64 16075101696843969/10000000000000 z) z)) |
(+.f64 (/.f64 (/.f64 -16075101696843969/10000000000000 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 -16075101696843969/10000000000000 (*.f64 z z)) (+.f64 (/.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)))) |
(+.f64 (/.f64 (/.f64 -16075101696843969/10000000000000 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 41160703924046283/10000000000000 (pow.f64 z 3)) (+.f64 (/.f64 47576671969241/80000000000 z) (/.f64 95223707106196353/10000000000000 (pow.f64 z 4))))) |
(+.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 -47576671969241/80000000000 z) (+.f64 (/.f64 (/.f64 -16075101696843969/10000000000000 z) 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)) |
(-.f64 (/.f64 -47576671969241/80000000000 z) (/.f64 (/.f64 16075101696843969/10000000000000 z) z)) |
(+.f64 (/.f64 (/.f64 -16075101696843969/10000000000000 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 -16075101696843969/10000000000000 (*.f64 z z)) (+.f64 (/.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)))) |
(+.f64 (/.f64 (/.f64 -16075101696843969/10000000000000 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 41160703924046283/10000000000000 (pow.f64 z 3)) (+.f64 (/.f64 47576671969241/80000000000 z) (/.f64 95223707106196353/10000000000000 (pow.f64 z 4))))) |
(+.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 -47576671969241/80000000000 z) (+.f64 (/.f64 (/.f64 -16075101696843969/10000000000000 z) z) (+.f64 (/.f64 -41160703924046283/10000000000000 (pow.f64 z 3)) (/.f64 -95223707106196353/10000000000000 (pow.f64 z 4))))) |
8 alts after pruning (7 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 166 | 1 | 167 |
| Fresh | 1 | 6 | 7 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 167 | 8 | 175 |
| Status | Error | Program |
|---|---|---|
| 1.7b | (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z)))) 3)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))) | |
| 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 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))))) | |
| 1.4b | (*.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 z)))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (fma.f64 z 53758197989915921/720000000000000 (fma.f64 z (*.f64 z 222980468271960011/8640000000000000) 12777243138120953/60000000000000))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))) | |
| 1.4b | (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (-.f64 (*.f64 (-.f64 1/2 z) (log.f64 (-.f64 15/2 z))) (-.f64 15/2 z)))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (exp.f64 (log.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))) | |
| ✓ | 0.5b | (*.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 z)))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (exp.f64 (log.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))) |
| ▶ | 0.9b | (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (fma.f64 z (+.f64 (fma.f64 (sqrt.f64 15/2) (/.f64 (-.f64 -1/15 (log.f64 15/2)) (exp.f64 15/2)) (/.f64 (sqrt.f64 15/2) (exp.f64 15/2))) (*.f64 z (fma.f64 (sqrt.f64 15/2) (/.f64 (fma.f64 1/2 (pow.f64 (-.f64 -1/15 (log.f64 15/2)) 2) 29/225) (exp.f64 15/2)) (fma.f64 (/.f64 (sqrt.f64 15/2) (exp.f64 15/2)) -1/2 (fma.f64 (sqrt.f64 15/2) (/.f64 (-.f64 -1/15 (log.f64 15/2)) (exp.f64 15/2)) (/.f64 (sqrt.f64 15/2) (exp.f64 15/2))))))) (/.f64 (sqrt.f64 15/2) (exp.f64 15/2)))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))) |
| 2.0b | (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (pow.f64 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z))) 3) 1/3)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))) | |
| 2.7b | (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 (PI.f64) 2))) 3) (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z)))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))) |
Compiled 15272 to 11919 computations (22% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 1.0b | (fma.f64 1/2 (pow.f64 (-.f64 -1/15 (log.f64 15/2)) 2) 29/225) |
| ✓ | 1.0b | (/.f64 (sqrt.f64 15/2) (exp.f64 15/2)) |
| 1.0b | (sqrt.f64 (*.f64 (PI.f64) 2)) | |
| ✓ | 1.0b | (/.f64 (-.f64 -1/15 (log.f64 15/2)) (exp.f64 15/2)) |
| 1× | batch-egg-rewrite |
| 251× | expm1-udef_binary64 |
| 250× | log1p-udef_binary64 |
| 191× | log-pow_binary64 |
| 146× | add-sqr-sqrt_binary64 |
| 141× | add-log-exp_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 32 |
| 1 | 306 | 32 |
| 2 | 3669 | 32 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (-.f64 -1/15 (log.f64 15/2)) (exp.f64 15/2)) |
(/.f64 (sqrt.f64 15/2) (exp.f64 15/2)) |
(fma.f64 1/2 (pow.f64 (-.f64 -1/15 (log.f64 15/2)) 2) 29/225) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 -1/15 (log.f64 2/15)) (exp.f64 -15/2)) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 (log.f64 15/2) (exp.f64 -15/2)))) (sqrt.f64 (*.f64 (log.f64 15/2) (exp.f64 -15/2))) (*.f64 (log.f64 15/2) (exp.f64 -15/2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 -1/15 (log.f64 2/15)) (exp.f64 -15/2)) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 (log.f64 15/2)) (exp.f64 15/4))) (/.f64 (sqrt.f64 (log.f64 15/2)) (exp.f64 15/4)) (*.f64 (log.f64 15/2) (exp.f64 -15/2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -1/15 (exp.f64 -15/2)) (neg.f64 (*.f64 (log.f64 15/2) (exp.f64 -15/2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 -1/15 (exp.f64 -15/2) (neg.f64 (*.f64 (exp.f64 -15/2) (log.f64 15/2)))) (fma.f64 (neg.f64 (exp.f64 -15/2)) (log.f64 15/2) (*.f64 (exp.f64 -15/2) (log.f64 15/2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1 (*.f64 -1/15 (exp.f64 -15/2)) (neg.f64 (*.f64 (exp.f64 -15/2) (log.f64 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 29/225 (*.f64 1/2 (pow.f64 (+.f64 -1/15 (log.f64 2/15)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/2 (pow.f64 (+.f64 -1/15 (log.f64 2/15)) 2)) 29/225)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 1/2 (pow.f64 (+.f64 -1/15 (log.f64 2/15)) 2)) 1) 29/225)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 1/2 (pow.f64 (+.f64 -1/15 (log.f64 2/15)) 2) 29/225))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 1/2 (pow.f64 (+.f64 -1/15 (log.f64 2/15)) 2) 29/225) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 1/2 (pow.f64 (+.f64 -1/15 (log.f64 2/15)) 2) 29/225))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 1/2 (pow.f64 (+.f64 -1/15 (log.f64 2/15)) 2) 29/225)) (cbrt.f64 (pow.f64 (fma.f64 1/2 (pow.f64 (+.f64 -1/15 (log.f64 2/15)) 2) 29/225) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (fma.f64 1/2 (pow.f64 (+.f64 -1/15 (log.f64 2/15)) 2) 29/225) 2)) (cbrt.f64 (fma.f64 1/2 (pow.f64 (+.f64 -1/15 (log.f64 2/15)) 2) 29/225)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 1/2 (pow.f64 (+.f64 -1/15 (log.f64 2/15)) 2) 29/225)) (sqrt.f64 (fma.f64 1/2 (pow.f64 (+.f64 -1/15 (log.f64 2/15)) 2) 29/225)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 1/2 (pow.f64 (+.f64 -1/15 (log.f64 2/15)) 2)) 3) 24389/11390625) (fma.f64 (*.f64 1/2 (pow.f64 (+.f64 -1/15 (log.f64 2/15)) 2)) (*.f64 1/2 (pow.f64 (+.f64 -1/15 (log.f64 2/15)) 2)) (-.f64 841/50625 (*.f64 (*.f64 1/2 (pow.f64 (+.f64 -1/15 (log.f64 2/15)) 2)) 29/225))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (*.f64 1/2 (pow.f64 (+.f64 -1/15 (log.f64 2/15)) 2)) (*.f64 1/2 (pow.f64 (+.f64 -1/15 (log.f64 2/15)) 2)) -841/50625) (fma.f64 1/2 (pow.f64 (+.f64 -1/15 (log.f64 2/15)) 2) -29/225))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 1/2 (pow.f64 (+.f64 -1/15 (log.f64 2/15)) 2) 29/225) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 1/2 (pow.f64 (+.f64 -1/15 (log.f64 2/15)) 2) 29/225) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 1/2 (pow.f64 (+.f64 -1/15 (log.f64 2/15)) 2) 29/225)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 1/2 (pow.f64 (+.f64 -1/15 (log.f64 2/15)) 2) 29/225)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 1/2 (pow.f64 (+.f64 -1/15 (log.f64 2/15)) 2) 29/225) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 1/2 (pow.f64 (+.f64 -1/15 (log.f64 2/15)) 2) 29/225)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/2 (pow.f64 (+.f64 -1/15 (log.f64 2/15)) 2) 29/225))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 1/2 (pow.f64 (+.f64 -1/15 (log.f64 2/15)) 2) 29/225) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 1/2 (pow.f64 (+.f64 -1/15 (log.f64 2/15)) 2) 29/225)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 1/2 (pow.f64 (+.f64 -1/15 (log.f64 2/15)) 2) 29/225)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 1/2 (pow.f64 (+.f64 -1/15 (log.f64 2/15)) 2) 29/225)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 1/2 (pow.f64 (+.f64 -1/15 (log.f64 2/15)) 2) 29/225))))))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 0 | 0 |
| 1× | saturated |
| Inputs |
|---|
| Outputs |
|---|
8 alts after pruning (6 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 332 | 0 | 332 |
| Fresh | 0 | 6 | 6 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 1 | 1 |
| Total | 332 | 8 | 340 |
| Status | Error | Program |
|---|---|---|
| 1.7b | (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z)))) 3)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))) | |
| 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 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))))) | |
| 1.4b | (*.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 z)))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (fma.f64 z 53758197989915921/720000000000000 (fma.f64 z (*.f64 z 222980468271960011/8640000000000000) 12777243138120953/60000000000000))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))) | |
| ▶ | 1.4b | (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (-.f64 (*.f64 (-.f64 1/2 z) (log.f64 (-.f64 15/2 z))) (-.f64 15/2 z)))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (exp.f64 (log.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))) |
| ✓ | 0.5b | (*.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 z)))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (exp.f64 (log.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))) |
| ✓ | 0.9b | (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (fma.f64 z (+.f64 (fma.f64 (sqrt.f64 15/2) (/.f64 (-.f64 -1/15 (log.f64 15/2)) (exp.f64 15/2)) (/.f64 (sqrt.f64 15/2) (exp.f64 15/2))) (*.f64 z (fma.f64 (sqrt.f64 15/2) (/.f64 (fma.f64 1/2 (pow.f64 (-.f64 -1/15 (log.f64 15/2)) 2) 29/225) (exp.f64 15/2)) (fma.f64 (/.f64 (sqrt.f64 15/2) (exp.f64 15/2)) -1/2 (fma.f64 (sqrt.f64 15/2) (/.f64 (-.f64 -1/15 (log.f64 15/2)) (exp.f64 15/2)) (/.f64 (sqrt.f64 15/2) (exp.f64 15/2))))))) (/.f64 (sqrt.f64 15/2) (exp.f64 15/2)))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))) |
| 2.0b | (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (pow.f64 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z))) 3) 1/3)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))) | |
| 2.7b | (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 (PI.f64) 2))) 3) (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z)))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))) |
Compiled 46910 to 41070 computations (12.4% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 1.0b | (+.f64 (exp.f64 (log.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) | |
| 1.0b | (exp.f64 (log.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) | |
| 1.0b | (sqrt.f64 (*.f64 (PI.f64) 2)) | |
| ✓ | 1.6b | (exp.f64 (-.f64 (*.f64 (-.f64 1/2 z) (log.f64 (-.f64 15/2 z))) (-.f64 15/2 z))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | z | @ | 0 | (exp.f64 (-.f64 (*.f64 (-.f64 1/2 z) (log.f64 (-.f64 15/2 z))) (-.f64 15/2 z))) |
| 0.0ms | z | @ | inf | (exp.f64 (-.f64 (*.f64 (-.f64 1/2 z) (log.f64 (-.f64 15/2 z))) (-.f64 15/2 z))) |
| 0.0ms | z | @ | -inf | (exp.f64 (-.f64 (*.f64 (-.f64 1/2 z) (log.f64 (-.f64 15/2 z))) (-.f64 15/2 z))) |
| 1× | batch-egg-rewrite |
| 812× | prod-diff_binary64 |
| 210× | log1p-udef_binary64 |
| 119× | add-sqr-sqrt_binary64 |
| 114× | *-un-lft-identity_binary64 |
| 114× | add-log-exp_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 20 |
| 1 | 230 | 18 |
| 2 | 3159 | 18 |
| 1× | node limit |
| Inputs |
|---|
(exp.f64 (-.f64 (*.f64 (-.f64 1/2 z) (log.f64 (-.f64 15/2 z))) (-.f64 15/2 z))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (neg.f64 (-.f64 15/2 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 1 (exp.f64 (-.f64 15/2 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.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 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z))) 2)) (cbrt.f64 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z)))) (sqrt.f64 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 (fma.f64 (-.f64 1/2 z) (log.f64 (-.f64 15/2 z)) -15/2)) (exp.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (exp.f64 (-.f64 15/2 z)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (neg.f64 (exp.f64 (-.f64 15/2 z))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (+.f64 z (fma.f64 (-.f64 1/2 z) (log.f64 (-.f64 15/2 z)) -15/2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (+.f64 z (fma.f64 (-.f64 1/2 z) (log.f64 (-.f64 15/2 z)) -15/2))) 2)) (cbrt.f64 (+.f64 z (fma.f64 (-.f64 1/2 z) (log.f64 (-.f64 15/2 z)) -15/2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (+.f64 z (fma.f64 (-.f64 1/2 z) (log.f64 (-.f64 15/2 z)) -15/2)))) (sqrt.f64 (+.f64 z (fma.f64 (-.f64 1/2 z) (log.f64 (-.f64 15/2 z)) -15/2))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z))))))))) |
| 1× | egg-herbie |
| 308× | distribute-rgt-out_binary64 |
| 270× | fma-def_binary64 |
| 253× | distribute-lft-out_binary64 |
| 206× | associate-*l*_binary64 |
| 194× | associate-*r*_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 53 | 361 |
| 1 | 171 | 334 |
| 2 | 551 | 300 |
| 3 | 2832 | 284 |
| 1× | node limit |
| Inputs |
|---|
(exp.f64 (-.f64 (*.f64 1/2 (log.f64 15/2)) 15/2)) |
(+.f64 (*.f64 (+.f64 14/15 (*.f64 -1 (log.f64 15/2))) (*.f64 (exp.f64 (-.f64 (*.f64 1/2 (log.f64 15/2)) 15/2)) z)) (exp.f64 (-.f64 (*.f64 1/2 (log.f64 15/2)) 15/2))) |
(+.f64 (*.f64 (+.f64 14/15 (*.f64 -1 (log.f64 15/2))) (*.f64 (exp.f64 (-.f64 (*.f64 1/2 (log.f64 15/2)) 15/2)) z)) (+.f64 (*.f64 (+.f64 29/225 (*.f64 1/2 (pow.f64 (+.f64 14/15 (*.f64 -1 (log.f64 15/2))) 2))) (*.f64 (exp.f64 (-.f64 (*.f64 1/2 (log.f64 15/2)) 15/2)) (pow.f64 z 2))) (exp.f64 (-.f64 (*.f64 1/2 (log.f64 15/2)) 15/2)))) |
(+.f64 (*.f64 (+.f64 14/15 (*.f64 -1 (log.f64 15/2))) (*.f64 (exp.f64 (-.f64 (*.f64 1/2 (log.f64 15/2)) 15/2)) z)) (+.f64 (*.f64 (+.f64 29/225 (*.f64 1/2 (pow.f64 (+.f64 14/15 (*.f64 -1 (log.f64 15/2))) 2))) (*.f64 (exp.f64 (-.f64 (*.f64 1/2 (log.f64 15/2)) 15/2)) (pow.f64 z 2))) (+.f64 (exp.f64 (-.f64 (*.f64 1/2 (log.f64 15/2)) 15/2)) (*.f64 (exp.f64 (-.f64 (*.f64 1/2 (log.f64 15/2)) 15/2)) (*.f64 (pow.f64 z 3) (+.f64 86/10125 (+.f64 (*.f64 29/225 (+.f64 14/15 (*.f64 -1 (log.f64 15/2)))) (*.f64 1/6 (pow.f64 (+.f64 14/15 (*.f64 -1 (log.f64 15/2))) 3))))))))) |
(exp.f64 (-.f64 (+.f64 (*.f64 (-.f64 1/2 z) (log.f64 (-.f64 15/2 z))) z) 15/2)) |
(exp.f64 (-.f64 (+.f64 (*.f64 (-.f64 1/2 z) (log.f64 (-.f64 15/2 z))) z) 15/2)) |
(exp.f64 (-.f64 (+.f64 (*.f64 (-.f64 1/2 z) (log.f64 (-.f64 15/2 z))) z) 15/2)) |
(exp.f64 (-.f64 (+.f64 (*.f64 (-.f64 1/2 z) (log.f64 (-.f64 15/2 z))) z) 15/2)) |
(exp.f64 (-.f64 (*.f64 (log.f64 (+.f64 (*.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2)) (+.f64 (*.f64 -1 z) 15/2))) |
(exp.f64 (-.f64 (*.f64 (log.f64 (+.f64 (*.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2)) (+.f64 (*.f64 -1 z) 15/2))) |
(exp.f64 (-.f64 (*.f64 (log.f64 (+.f64 (*.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2)) (+.f64 (*.f64 -1 z) 15/2))) |
(exp.f64 (-.f64 (*.f64 (log.f64 (+.f64 (*.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2)) (+.f64 (*.f64 -1 z) 15/2))) |
| Outputs |
|---|
(exp.f64 (-.f64 (*.f64 1/2 (log.f64 15/2)) 15/2)) |
(exp.f64 (fma.f64 1/2 (log.f64 15/2) -15/2)) |
(*.f64 (pow.f64 15/2 1/2) (exp.f64 -15/2)) |
(*.f64 (sqrt.f64 15/2) (exp.f64 -15/2)) |
(+.f64 (*.f64 (+.f64 14/15 (*.f64 -1 (log.f64 15/2))) (*.f64 (exp.f64 (-.f64 (*.f64 1/2 (log.f64 15/2)) 15/2)) z)) (exp.f64 (-.f64 (*.f64 1/2 (log.f64 15/2)) 15/2))) |
(fma.f64 (+.f64 14/15 (neg.f64 (log.f64 15/2))) (*.f64 (exp.f64 (fma.f64 1/2 (log.f64 15/2) -15/2)) z) (exp.f64 (fma.f64 1/2 (log.f64 15/2) -15/2))) |
(fma.f64 (-.f64 14/15 (log.f64 15/2)) (/.f64 (*.f64 (pow.f64 15/2 1/2) z) (exp.f64 15/2)) (*.f64 (pow.f64 15/2 1/2) (exp.f64 -15/2))) |
(*.f64 (+.f64 (*.f64 (-.f64 14/15 (log.f64 15/2)) z) 1) (*.f64 (sqrt.f64 15/2) (exp.f64 -15/2))) |
(+.f64 (*.f64 (+.f64 14/15 (*.f64 -1 (log.f64 15/2))) (*.f64 (exp.f64 (-.f64 (*.f64 1/2 (log.f64 15/2)) 15/2)) z)) (+.f64 (*.f64 (+.f64 29/225 (*.f64 1/2 (pow.f64 (+.f64 14/15 (*.f64 -1 (log.f64 15/2))) 2))) (*.f64 (exp.f64 (-.f64 (*.f64 1/2 (log.f64 15/2)) 15/2)) (pow.f64 z 2))) (exp.f64 (-.f64 (*.f64 1/2 (log.f64 15/2)) 15/2)))) |
(fma.f64 (+.f64 14/15 (neg.f64 (log.f64 15/2))) (*.f64 (exp.f64 (fma.f64 1/2 (log.f64 15/2) -15/2)) z) (fma.f64 (+.f64 29/225 (*.f64 1/2 (pow.f64 (+.f64 14/15 (neg.f64 (log.f64 15/2))) 2))) (*.f64 (exp.f64 (fma.f64 1/2 (log.f64 15/2) -15/2)) (*.f64 z z)) (exp.f64 (fma.f64 1/2 (log.f64 15/2) -15/2)))) |
(fma.f64 (-.f64 14/15 (log.f64 15/2)) (/.f64 (*.f64 (pow.f64 15/2 1/2) z) (exp.f64 15/2)) (fma.f64 (fma.f64 1/2 (pow.f64 (-.f64 14/15 (log.f64 15/2)) 2) 29/225) (*.f64 (*.f64 (pow.f64 15/2 1/2) (exp.f64 -15/2)) (*.f64 z z)) (*.f64 (pow.f64 15/2 1/2) (exp.f64 -15/2)))) |
(fma.f64 (sqrt.f64 15/2) (exp.f64 -15/2) (*.f64 (*.f64 (sqrt.f64 15/2) (exp.f64 -15/2)) (+.f64 (*.f64 (-.f64 14/15 (log.f64 15/2)) z) (*.f64 z (*.f64 z (fma.f64 1/2 (pow.f64 (-.f64 14/15 (log.f64 15/2)) 2) 29/225)))))) |
(*.f64 (*.f64 (sqrt.f64 15/2) (exp.f64 -15/2)) (+.f64 (*.f64 z (*.f64 z (fma.f64 1/2 (pow.f64 (-.f64 14/15 (log.f64 15/2)) 2) 29/225))) (+.f64 (*.f64 (-.f64 14/15 (log.f64 15/2)) z) 1))) |
(+.f64 (*.f64 (+.f64 14/15 (*.f64 -1 (log.f64 15/2))) (*.f64 (exp.f64 (-.f64 (*.f64 1/2 (log.f64 15/2)) 15/2)) z)) (+.f64 (*.f64 (+.f64 29/225 (*.f64 1/2 (pow.f64 (+.f64 14/15 (*.f64 -1 (log.f64 15/2))) 2))) (*.f64 (exp.f64 (-.f64 (*.f64 1/2 (log.f64 15/2)) 15/2)) (pow.f64 z 2))) (+.f64 (exp.f64 (-.f64 (*.f64 1/2 (log.f64 15/2)) 15/2)) (*.f64 (exp.f64 (-.f64 (*.f64 1/2 (log.f64 15/2)) 15/2)) (*.f64 (pow.f64 z 3) (+.f64 86/10125 (+.f64 (*.f64 29/225 (+.f64 14/15 (*.f64 -1 (log.f64 15/2)))) (*.f64 1/6 (pow.f64 (+.f64 14/15 (*.f64 -1 (log.f64 15/2))) 3))))))))) |
(fma.f64 (+.f64 14/15 (neg.f64 (log.f64 15/2))) (*.f64 (exp.f64 (fma.f64 1/2 (log.f64 15/2) -15/2)) z) (+.f64 (fma.f64 (+.f64 29/225 (*.f64 1/2 (pow.f64 (+.f64 14/15 (neg.f64 (log.f64 15/2))) 2))) (*.f64 (exp.f64 (fma.f64 1/2 (log.f64 15/2) -15/2)) (*.f64 z z)) (exp.f64 (fma.f64 1/2 (log.f64 15/2) -15/2))) (*.f64 (exp.f64 (fma.f64 1/2 (log.f64 15/2) -15/2)) (*.f64 (pow.f64 z 3) (+.f64 86/10125 (fma.f64 29/225 (+.f64 14/15 (neg.f64 (log.f64 15/2))) (*.f64 1/6 (pow.f64 (+.f64 14/15 (neg.f64 (log.f64 15/2))) 3)))))))) |
(fma.f64 (-.f64 14/15 (log.f64 15/2)) (/.f64 (*.f64 (pow.f64 15/2 1/2) z) (exp.f64 15/2)) (fma.f64 (fma.f64 1/2 (pow.f64 (-.f64 14/15 (log.f64 15/2)) 2) 29/225) (*.f64 (*.f64 (pow.f64 15/2 1/2) (exp.f64 -15/2)) (*.f64 z z)) (*.f64 (+.f64 (*.f64 (pow.f64 z 3) (+.f64 (*.f64 1/6 (pow.f64 (-.f64 14/15 (log.f64 15/2)) 3)) (+.f64 1304/10125 (*.f64 (log.f64 15/2) -29/225)))) 1) (*.f64 (pow.f64 15/2 1/2) (exp.f64 -15/2))))) |
(fma.f64 (*.f64 (sqrt.f64 15/2) (exp.f64 -15/2)) (*.f64 z (*.f64 z (fma.f64 1/2 (pow.f64 (-.f64 14/15 (log.f64 15/2)) 2) 29/225))) (*.f64 (*.f64 (sqrt.f64 15/2) (exp.f64 -15/2)) (+.f64 (*.f64 (-.f64 14/15 (log.f64 15/2)) z) (fma.f64 (pow.f64 z 3) (+.f64 1304/10125 (fma.f64 (log.f64 15/2) -29/225 (*.f64 1/6 (pow.f64 (-.f64 14/15 (log.f64 15/2)) 3)))) 1)))) |
(*.f64 (*.f64 (sqrt.f64 15/2) (exp.f64 -15/2)) (+.f64 (fma.f64 (pow.f64 z 3) (+.f64 1304/10125 (fma.f64 (log.f64 15/2) -29/225 (*.f64 1/6 (pow.f64 (-.f64 14/15 (log.f64 15/2)) 3)))) 1) (*.f64 z (+.f64 (*.f64 z (fma.f64 1/2 (pow.f64 (-.f64 14/15 (log.f64 15/2)) 2) 29/225)) (-.f64 14/15 (log.f64 15/2)))))) |
(exp.f64 (-.f64 (+.f64 (*.f64 (-.f64 1/2 z) (log.f64 (-.f64 15/2 z))) z) 15/2)) |
(exp.f64 (+.f64 (fma.f64 (-.f64 1/2 z) (log.f64 (-.f64 15/2 z)) z) -15/2)) |
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) |
(exp.f64 (-.f64 (+.f64 (*.f64 (-.f64 1/2 z) (log.f64 (-.f64 15/2 z))) z) 15/2)) |
(exp.f64 (+.f64 (fma.f64 (-.f64 1/2 z) (log.f64 (-.f64 15/2 z)) z) -15/2)) |
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) |
(exp.f64 (-.f64 (+.f64 (*.f64 (-.f64 1/2 z) (log.f64 (-.f64 15/2 z))) z) 15/2)) |
(exp.f64 (+.f64 (fma.f64 (-.f64 1/2 z) (log.f64 (-.f64 15/2 z)) z) -15/2)) |
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) |
(exp.f64 (-.f64 (+.f64 (*.f64 (-.f64 1/2 z) (log.f64 (-.f64 15/2 z))) z) 15/2)) |
(exp.f64 (+.f64 (fma.f64 (-.f64 1/2 z) (log.f64 (-.f64 15/2 z)) z) -15/2)) |
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) |
(exp.f64 (-.f64 (*.f64 (log.f64 (+.f64 (*.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2)) (+.f64 (*.f64 -1 z) 15/2))) |
(exp.f64 (+.f64 (fma.f64 (-.f64 1/2 z) (log.f64 (-.f64 15/2 z)) z) -15/2)) |
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) |
(exp.f64 (-.f64 (*.f64 (log.f64 (+.f64 (*.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2)) (+.f64 (*.f64 -1 z) 15/2))) |
(exp.f64 (+.f64 (fma.f64 (-.f64 1/2 z) (log.f64 (-.f64 15/2 z)) z) -15/2)) |
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) |
(exp.f64 (-.f64 (*.f64 (log.f64 (+.f64 (*.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2)) (+.f64 (*.f64 -1 z) 15/2))) |
(exp.f64 (+.f64 (fma.f64 (-.f64 1/2 z) (log.f64 (-.f64 15/2 z)) z) -15/2)) |
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) |
(exp.f64 (-.f64 (*.f64 (log.f64 (+.f64 (*.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2)) (+.f64 (*.f64 -1 z) 15/2))) |
(exp.f64 (+.f64 (fma.f64 (-.f64 1/2 z) (log.f64 (-.f64 15/2 z)) z) -15/2)) |
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) |
9 alts after pruning (6 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 177 | 2 | 179 |
| Fresh | 1 | 4 | 5 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 2 | 2 |
| Total | 178 | 9 | 187 |
| Status | Error | Program |
|---|---|---|
| 1.6b | (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (-.f64 (*.f64 (-.f64 1/2 z) (log.f64 (-.f64 15/2 z))) (-.f64 15/2 z)))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (pow.f64 (exp.f64 1) (log.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))) | |
| 1.4b | (*.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 z)))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (fma.f64 z 53758197989915921/720000000000000 (fma.f64 z (*.f64 z 222980468271960011/8640000000000000) 12777243138120953/60000000000000))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))) | |
| 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 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))))) | |
| 0.9b | (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (-.f64 (*.f64 (-.f64 1/2 z) (log.f64 (-.f64 15/2 z))) (-.f64 15/2 z)))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 12777243138120953/60000000000000 (+.f64 (*.f64 222980468271960011/8640000000000000 (pow.f64 z 2)) (*.f64 53758197989915921/720000000000000 z)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))) | |
| ✓ | 1.4b | (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (-.f64 (*.f64 (-.f64 1/2 z) (log.f64 (-.f64 15/2 z))) (-.f64 15/2 z)))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (exp.f64 (log.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))) |
| ✓ | 0.5b | (*.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 z)))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (exp.f64 (log.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))) |
| ✓ | 0.9b | (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (fma.f64 z (+.f64 (fma.f64 (sqrt.f64 15/2) (/.f64 (-.f64 -1/15 (log.f64 15/2)) (exp.f64 15/2)) (/.f64 (sqrt.f64 15/2) (exp.f64 15/2))) (*.f64 z (fma.f64 (sqrt.f64 15/2) (/.f64 (fma.f64 1/2 (pow.f64 (-.f64 -1/15 (log.f64 15/2)) 2) 29/225) (exp.f64 15/2)) (fma.f64 (/.f64 (sqrt.f64 15/2) (exp.f64 15/2)) -1/2 (fma.f64 (sqrt.f64 15/2) (/.f64 (-.f64 -1/15 (log.f64 15/2)) (exp.f64 15/2)) (/.f64 (sqrt.f64 15/2) (exp.f64 15/2))))))) (/.f64 (sqrt.f64 15/2) (exp.f64 15/2)))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))) |
| 2.0b | (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (pow.f64 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z))) 3) 1/3)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))) | |
| 2.7b | (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 (PI.f64) 2))) 3) (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z)))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))) |
Compiled 15521 to 12034 computations (22.5% saved)
Total -2.8b remaining (-569.1%)
Threshold costs -2.8b (-569.1%)
Compiled 4353 to 3478 computations (20.1% saved)
| 1× | egg-herbie |
| 19× | +-commutative_binary64 |
| 11× | sub-neg_binary64 |
| 6× | *-commutative_binary64 |
| 1× | neg-sub0_binary64 |
| 1× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 61 | 119 |
| 1 | 87 | 119 |
| 2 | 100 | 119 |
| 3 | 102 | 119 |
| 4 | 103 | 119 |
| 1× | saturated |
| Inputs |
|---|
(*.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 z)))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (exp.f64 (log.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))) |
| Outputs |
|---|
(*.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 z)))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (exp.f64 (log.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))) |
| 1× | fuel |
Compiled 935 to 745 computations (20.3% saved)
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