Time bar (total: 1.0min)
| 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)
| 50.4s | 3913× | body | 8192 | exit |
| 4.0s | 8256× | body | 128 | valid |
| 45.0ms | 84× | body | 128 | invalid |
Compiled 254 to 224 computations (11.8% saved)
| 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 |
|---|---|---|
| 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))))) | |
| ▶ | 0.5b | (*.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))))))))) |
Compiled 596 to 508 computations (14.8% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.9b | (/.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 | |
|---|---|---|---|---|
| 6.0ms | z | @ | 0 | (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z))) |
| 5.0ms | z | @ | inf | (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z))) |
| 5.0ms | 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 (/.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 |
| 378× | associate-*r*_binary64 |
| 369× | fma-def_binary64 |
| 334× | associate-+l+_binary64 |
| 269× | associate-*l*_binary64 |
| 217× | associate-+r+_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 132 | 737 |
| 1 | 387 | 707 |
| 2 | 1216 | 701 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (sqrt.f64 15/2) (exp.f64 15/2)) |
(-.f64 (+.f64 (*.f64 14/15 (/.f64 (*.f64 z (sqrt.f64 15/2)) (exp.f64 15/2))) (/.f64 (sqrt.f64 15/2) (exp.f64 15/2))) (/.f64 (*.f64 (log.f64 15/2) (*.f64 z (sqrt.f64 15/2))) (exp.f64 15/2))) |
(-.f64 (+.f64 (*.f64 14/15 (/.f64 (*.f64 z (sqrt.f64 15/2)) (exp.f64 15/2))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 (log.f64 15/2) 2) (*.f64 (pow.f64 z 2) (sqrt.f64 15/2))) (exp.f64 15/2))) (+.f64 (*.f64 127/225 (/.f64 (*.f64 (pow.f64 z 2) (sqrt.f64 15/2)) (exp.f64 15/2))) (/.f64 (sqrt.f64 15/2) (exp.f64 15/2))))) (+.f64 (/.f64 (*.f64 (log.f64 15/2) (*.f64 z (sqrt.f64 15/2))) (exp.f64 15/2)) (*.f64 14/15 (/.f64 (*.f64 (log.f64 15/2) (*.f64 (pow.f64 z 2) (sqrt.f64 15/2))) (exp.f64 15/2))))) |
(-.f64 (+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 (log.f64 15/2) 2) (*.f64 (pow.f64 z 2) (sqrt.f64 15/2))) (exp.f64 15/2))) (+.f64 (*.f64 892/3375 (/.f64 (*.f64 (pow.f64 z 3) (sqrt.f64 15/2)) (exp.f64 15/2))) (+.f64 (*.f64 14/15 (/.f64 (*.f64 z (sqrt.f64 15/2)) (exp.f64 15/2))) (+.f64 (*.f64 127/225 (/.f64 (*.f64 (pow.f64 z 2) (sqrt.f64 15/2)) (exp.f64 15/2))) (+.f64 (*.f64 7/15 (/.f64 (*.f64 (pow.f64 (log.f64 15/2) 2) (*.f64 (pow.f64 z 3) (sqrt.f64 15/2))) (exp.f64 15/2))) (/.f64 (sqrt.f64 15/2) (exp.f64 15/2))))))) (+.f64 (*.f64 14/15 (/.f64 (*.f64 (log.f64 15/2) (*.f64 (pow.f64 z 2) (sqrt.f64 15/2))) (exp.f64 15/2))) (+.f64 (*.f64 1/6 (/.f64 (*.f64 (pow.f64 (log.f64 15/2) 3) (*.f64 (pow.f64 z 3) (sqrt.f64 15/2))) (exp.f64 15/2))) (+.f64 (*.f64 127/225 (/.f64 (*.f64 (log.f64 15/2) (*.f64 (pow.f64 z 3) (sqrt.f64 15/2))) (exp.f64 15/2))) (/.f64 (*.f64 (log.f64 15/2) (*.f64 z (sqrt.f64 15/2))) (exp.f64 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 222980468271960011/8640000000000000 (pow.f64 z 2)) (+.f64 (*.f64 53758197989915921/720000000000000 z) (*.f64 36630596080989161/4147200000000000 (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 41160703924046283/10000000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 47576671969241/80000000000 (/.f64 1 z))))) |
(neg.f64 (+.f64 (*.f64 16075101696843969/10000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (*.f64 41160703924046283/10000000000000 (/.f64 1 (pow.f64 z 3))) (+.f64 (*.f64 95223707106196353/10000000000000 (/.f64 1 (pow.f64 z 4))) (*.f64 47576671969241/80000000000 (/.f64 1 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 41160703924046283/10000000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 47576671969241/80000000000 (/.f64 1 z))))) |
(neg.f64 (+.f64 (*.f64 16075101696843969/10000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (*.f64 41160703924046283/10000000000000 (/.f64 1 (pow.f64 z 3))) (+.f64 (*.f64 95223707106196353/10000000000000 (/.f64 1 (pow.f64 z 4))) (*.f64 47576671969241/80000000000 (/.f64 1 z)))))) |
7713234287776531/30000000000000 |
(+.f64 7713234287776531/30000000000000 (*.f64 7713234287776531/90000000000000 z)) |
(+.f64 7713234287776531/30000000000000 (+.f64 (*.f64 7713234287776531/270000000000000 (pow.f64 z 2)) (*.f64 7713234287776531/90000000000000 z))) |
(+.f64 7713234287776531/30000000000000 (+.f64 (*.f64 7713234287776531/270000000000000 (pow.f64 z 2)) (+.f64 (*.f64 7713234287776531/90000000000000 z) (*.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 23139702863329593/10000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (*.f64 69419108589988779/10000000000000 (/.f64 1 (pow.f64 z 3))) (+.f64 (*.f64 208257325769966337/10000000000000 (/.f64 1 (pow.f64 z 4))) (*.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 23139702863329593/10000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (*.f64 69419108589988779/10000000000000 (/.f64 1 (pow.f64 z 3))) (+.f64 (*.f64 208257325769966337/10000000000000 (/.f64 1 (pow.f64 z 4))) (*.f64 7713234287776531/10000000000000 (/.f64 1 z)))))) |
| Outputs |
|---|
(/.f64 (sqrt.f64 15/2) (exp.f64 15/2)) |
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(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 23139702863329593/10000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (*.f64 69419108589988779/10000000000000 (/.f64 1 (pow.f64 z 3))) (+.f64 (*.f64 208257325769966337/10000000000000 (/.f64 1 (pow.f64 z 4))) (*.f64 7713234287776531/10000000000000 (/.f64 1 z)))))) |
(neg.f64 (+.f64 (+.f64 (/.f64 23139702863329593/10000000000000 (*.f64 z z)) (/.f64 69419108589988779/10000000000000 (pow.f64 z 3))) (+.f64 (/.f64 7713234287776531/10000000000000 z) (/.f64 208257325769966337/10000000000000 (pow.f64 z 4))))) |
(-.f64 (/.f64 -23139702863329593/10000000000000 (*.f64 z z)) (+.f64 (/.f64 7713234287776531/10000000000000 z) (+.f64 (/.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)))) |
7 alts after pruning (7 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 99 | 7 | 106 |
| Fresh | 1 | 0 | 1 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 101 | 7 | 108 |
| Status | Error | Program |
|---|---|---|
| ▶ | 0.5b | (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (cbrt.f64 (pow.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))))))))) |
| 1.4b | (*.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))))))))) | |
| 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))))))))) | |
| 1.6b | (*.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))))))))) | |
| 1.2b | (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (-.f64 (fma.f64 14/15 (*.f64 (sqrt.f64 15/2) (/.f64 z (exp.f64 15/2))) (/.f64 (sqrt.f64 15/2) (exp.f64 15/2))) (*.f64 (*.f64 (sqrt.f64 15/2) z) (/.f64 (log.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)) (/.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 (pow.f64 (cbrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) 3) (/.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)) (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 (/.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 9808 to 7619 computations (22.3% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 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 | (pow.f64 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z))) 3) |
| 1.0b | (sqrt.f64 (*.f64 (PI.f64) 2)) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 17.0ms | z | @ | 0 | (pow.f64 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z))) 3) |
| 11.0ms | z | @ | -inf | (pow.f64 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z))) 3) |
| 11.0ms | z | @ | inf | (pow.f64 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z))) 3) |
| 1× | batch-egg-rewrite |
| 220× | expm1-udef_binary64 |
| 220× | log1p-udef_binary64 |
| 218× | prod-diff_binary64 |
| 187× | log-pow_binary64 |
| 138× | fma-def_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 21 |
| 1 | 263 | 21 |
| 2 | 3419 | 21 |
| 1× | node limit |
| Inputs |
|---|
(pow.f64 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z))) 3) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z))) 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 (neg.f64 (-.f64 15/2 z))) (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 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z))) (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 (pow.f64 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z))) 3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (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 *.f64 (pow.f64 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z))) 2) (/.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 (cbrt.f64 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z)))) 2) (*.f64 (cbrt.f64 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z)))) (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 (sqrt.f64 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z)))) (*.f64 (sqrt.f64 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z)))) (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 (pow.f64 (-.f64 15/2 z) (*.f64 (-.f64 1/2 z) 3)) (pow.f64 (exp.f64 (neg.f64 (-.f64 15/2 z))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (-.f64 15/2 z) (*.f64 (-.f64 1/2 z) 3)) (/.f64 1 (exp.f64 (*.f64 3 (-.f64 15/2 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z))) 3/2) (pow.f64 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z))) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z)))) 2) 3) (/.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 (sqrt.f64 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z)))) 3) (pow.f64 (sqrt.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 *.f64 (*.f64 (pow.f64 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z))) 2) (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 (*.f64 (pow.f64 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z))) 2) 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 (*.f64 (pow.f64 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z))) 2) (pow.f64 (cbrt.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 (*.f64 (pow.f64 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z))) 2) (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 1 (/.f64 (exp.f64 (*.f64 3 (-.f64 15/2 z))) (pow.f64 (-.f64 15/2 z) (*.f64 (-.f64 1/2 z) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (pow.f64 (/.f64 (exp.f64 (-.f64 15/2 z)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z))) 2) (/.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 (-.f64 1/2 z) 3)) (exp.f64 (*.f64 3 (-.f64 15/2 z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (neg.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) 3) (pow.f64 (neg.f64 (exp.f64 (-.f64 15/2 z))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (pow.f64 (-.f64 15/2 z) (*.f64 (-.f64 1/2 z) 3))) (neg.f64 (exp.f64 (*.f64 3 (-.f64 15/2 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (pow.f64 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z))) 2)) (exp.f64 (-.f64 15/2 z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (pow.f64 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z))) 2)) (neg.f64 (exp.f64 (-.f64 15/2 z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z))) 2) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (-.f64 15/2 z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z))) 2) 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 (*.f64 (pow.f64 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z))) 2) (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 sqrt.f64 (pow.f64 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z))) 6))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.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 log.f64 (+.f64 1 (expm1.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 cbrt.f64 (pow.f64 (pow.f64 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z))) 3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.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 exp.f64 (*.f64 3 (fma.f64 (-.f64 1/2 z) (log.f64 (-.f64 15/2 z)) (neg.f64 (-.f64 15/2 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (fma.f64 (-.f64 1/2 z) (log.f64 (-.f64 15/2 z)) (neg.f64 (-.f64 15/2 z)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z))) 3))))))) |
| 1× | egg-herbie |
| 650× | associate-/r*_binary64 |
| 632× | associate-*l*_binary64 |
| 395× | fma-def_binary64 |
| 258× | associate-/r/_binary64 |
| 226× | associate-*l/_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 73 | 672 |
| 1 | 239 | 670 |
| 2 | 1278 | 584 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (pow.f64 (sqrt.f64 15/2) 3) (pow.f64 (exp.f64 15/2) 3)) |
(-.f64 (+.f64 (/.f64 (pow.f64 (sqrt.f64 15/2) 3) (pow.f64 (exp.f64 15/2) 3)) (*.f64 14/5 (/.f64 (*.f64 z (pow.f64 (sqrt.f64 15/2) 3)) (pow.f64 (exp.f64 15/2) 3)))) (*.f64 3 (/.f64 (*.f64 (log.f64 15/2) (*.f64 z (pow.f64 (sqrt.f64 15/2) 3))) (pow.f64 (exp.f64 15/2) 3)))) |
(-.f64 (+.f64 (/.f64 (pow.f64 (sqrt.f64 15/2) 3) (pow.f64 (exp.f64 15/2) 3)) (+.f64 (*.f64 14/5 (/.f64 (*.f64 z (pow.f64 (sqrt.f64 15/2) 3)) (pow.f64 (exp.f64 15/2) 3))) (+.f64 (*.f64 323/75 (/.f64 (*.f64 (pow.f64 z 2) (pow.f64 (sqrt.f64 15/2) 3)) (pow.f64 (exp.f64 15/2) 3))) (*.f64 9/2 (/.f64 (*.f64 (pow.f64 (log.f64 15/2) 2) (*.f64 (pow.f64 z 2) (pow.f64 (sqrt.f64 15/2) 3))) (pow.f64 (exp.f64 15/2) 3)))))) (+.f64 (*.f64 42/5 (/.f64 (*.f64 (log.f64 15/2) (*.f64 (pow.f64 z 2) (pow.f64 (sqrt.f64 15/2) 3))) (pow.f64 (exp.f64 15/2) 3))) (*.f64 3 (/.f64 (*.f64 (log.f64 15/2) (*.f64 z (pow.f64 (sqrt.f64 15/2) 3))) (pow.f64 (exp.f64 15/2) 3))))) |
(-.f64 (+.f64 (/.f64 (pow.f64 (sqrt.f64 15/2) 3) (pow.f64 (exp.f64 15/2) 3)) (+.f64 (*.f64 14/5 (/.f64 (*.f64 z (pow.f64 (sqrt.f64 15/2) 3)) (pow.f64 (exp.f64 15/2) 3))) (+.f64 (*.f64 63/5 (/.f64 (*.f64 (pow.f64 (log.f64 15/2) 2) (*.f64 (pow.f64 z 3) (pow.f64 (sqrt.f64 15/2) 3))) (pow.f64 (exp.f64 15/2) 3))) (+.f64 (*.f64 323/75 (/.f64 (*.f64 (pow.f64 z 2) (pow.f64 (sqrt.f64 15/2) 3)) (pow.f64 (exp.f64 15/2) 3))) (+.f64 (*.f64 16088/3375 (/.f64 (*.f64 (pow.f64 z 3) (pow.f64 (sqrt.f64 15/2) 3)) (pow.f64 (exp.f64 15/2) 3))) (*.f64 9/2 (/.f64 (*.f64 (pow.f64 (log.f64 15/2) 2) (*.f64 (pow.f64 z 2) (pow.f64 (sqrt.f64 15/2) 3))) (pow.f64 (exp.f64 15/2) 3)))))))) (+.f64 (*.f64 9/2 (/.f64 (*.f64 (pow.f64 (log.f64 15/2) 3) (*.f64 (pow.f64 z 3) (pow.f64 (sqrt.f64 15/2) 3))) (pow.f64 (exp.f64 15/2) 3))) (+.f64 (*.f64 42/5 (/.f64 (*.f64 (log.f64 15/2) (*.f64 (pow.f64 z 2) (pow.f64 (sqrt.f64 15/2) 3))) (pow.f64 (exp.f64 15/2) 3))) (+.f64 (*.f64 323/25 (/.f64 (*.f64 (log.f64 15/2) (*.f64 (pow.f64 z 3) (pow.f64 (sqrt.f64 15/2) 3))) (pow.f64 (exp.f64 15/2) 3))) (*.f64 3 (/.f64 (*.f64 (log.f64 15/2) (*.f64 z (pow.f64 (sqrt.f64 15/2) 3))) (pow.f64 (exp.f64 15/2) 3))))))) |
(/.f64 (pow.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) 3) (pow.f64 (exp.f64 (-.f64 15/2 z)) 3)) |
(/.f64 (pow.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) 3) (pow.f64 (exp.f64 (-.f64 15/2 z)) 3)) |
(/.f64 (pow.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) 3) (pow.f64 (exp.f64 (-.f64 15/2 z)) 3)) |
(/.f64 (pow.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) 3) (pow.f64 (exp.f64 (-.f64 15/2 z)) 3)) |
(/.f64 (pow.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) 3) (pow.f64 (exp.f64 (-.f64 15/2 z)) 3)) |
(/.f64 (pow.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) 3) (pow.f64 (exp.f64 (-.f64 15/2 z)) 3)) |
(/.f64 (pow.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) 3) (pow.f64 (exp.f64 (-.f64 15/2 z)) 3)) |
(/.f64 (pow.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) 3) (pow.f64 (exp.f64 (-.f64 15/2 z)) 3)) |
| Outputs |
|---|
(/.f64 (pow.f64 (sqrt.f64 15/2) 3) (pow.f64 (exp.f64 15/2) 3)) |
(/.f64 15/2 (/.f64 (pow.f64 (exp.f64 15/2) 3) (sqrt.f64 15/2))) |
(*.f64 (/.f64 15/2 (exp.f64 45/2)) (sqrt.f64 15/2)) |
(-.f64 (+.f64 (/.f64 (pow.f64 (sqrt.f64 15/2) 3) (pow.f64 (exp.f64 15/2) 3)) (*.f64 14/5 (/.f64 (*.f64 z (pow.f64 (sqrt.f64 15/2) 3)) (pow.f64 (exp.f64 15/2) 3)))) (*.f64 3 (/.f64 (*.f64 (log.f64 15/2) (*.f64 z (pow.f64 (sqrt.f64 15/2) 3))) (pow.f64 (exp.f64 15/2) 3)))) |
(+.f64 (/.f64 (pow.f64 (sqrt.f64 15/2) 3) (pow.f64 (exp.f64 15/2) 3)) (-.f64 (*.f64 14/5 (/.f64 z (/.f64 (pow.f64 (exp.f64 15/2) 3) (pow.f64 (sqrt.f64 15/2) 3)))) (*.f64 3 (/.f64 (log.f64 15/2) (/.f64 (pow.f64 (exp.f64 15/2) 3) (*.f64 (pow.f64 (sqrt.f64 15/2) 3) z)))))) |
(+.f64 (/.f64 15/2 (/.f64 (pow.f64 (exp.f64 15/2) 3) (sqrt.f64 15/2))) (fma.f64 14/5 (*.f64 (/.f64 z (pow.f64 (exp.f64 15/2) 3)) (*.f64 15/2 (sqrt.f64 15/2))) (*.f64 (/.f64 (log.f64 15/2) (/.f64 (pow.f64 (exp.f64 15/2) 3) (*.f64 (sqrt.f64 15/2) (*.f64 15/2 z)))) -3))) |
(+.f64 (/.f64 (*.f64 (*.f64 z (sqrt.f64 15/2)) 21) (exp.f64 45/2)) (-.f64 (*.f64 (/.f64 15/2 (exp.f64 45/2)) (sqrt.f64 15/2)) (/.f64 (*.f64 (*.f64 z (*.f64 (log.f64 15/2) (sqrt.f64 15/2))) 45/2) (exp.f64 45/2)))) |
(-.f64 (+.f64 (/.f64 (pow.f64 (sqrt.f64 15/2) 3) (pow.f64 (exp.f64 15/2) 3)) (+.f64 (*.f64 14/5 (/.f64 (*.f64 z (pow.f64 (sqrt.f64 15/2) 3)) (pow.f64 (exp.f64 15/2) 3))) (+.f64 (*.f64 323/75 (/.f64 (*.f64 (pow.f64 z 2) (pow.f64 (sqrt.f64 15/2) 3)) (pow.f64 (exp.f64 15/2) 3))) (*.f64 9/2 (/.f64 (*.f64 (pow.f64 (log.f64 15/2) 2) (*.f64 (pow.f64 z 2) (pow.f64 (sqrt.f64 15/2) 3))) (pow.f64 (exp.f64 15/2) 3)))))) (+.f64 (*.f64 42/5 (/.f64 (*.f64 (log.f64 15/2) (*.f64 (pow.f64 z 2) (pow.f64 (sqrt.f64 15/2) 3))) (pow.f64 (exp.f64 15/2) 3))) (*.f64 3 (/.f64 (*.f64 (log.f64 15/2) (*.f64 z (pow.f64 (sqrt.f64 15/2) 3))) (pow.f64 (exp.f64 15/2) 3))))) |
(+.f64 (/.f64 (pow.f64 (sqrt.f64 15/2) 3) (pow.f64 (exp.f64 15/2) 3)) (-.f64 (fma.f64 14/5 (/.f64 z (/.f64 (pow.f64 (exp.f64 15/2) 3) (pow.f64 (sqrt.f64 15/2) 3))) (fma.f64 323/75 (/.f64 (*.f64 (pow.f64 (sqrt.f64 15/2) 3) (*.f64 z z)) (pow.f64 (exp.f64 15/2) 3)) (*.f64 9/2 (/.f64 (pow.f64 (log.f64 15/2) 2) (/.f64 (pow.f64 (exp.f64 15/2) 3) (*.f64 (pow.f64 (sqrt.f64 15/2) 3) (*.f64 z z))))))) (fma.f64 42/5 (/.f64 (log.f64 15/2) (/.f64 (pow.f64 (exp.f64 15/2) 3) (*.f64 (pow.f64 (sqrt.f64 15/2) 3) (*.f64 z z)))) (*.f64 3 (/.f64 (log.f64 15/2) (/.f64 (pow.f64 (exp.f64 15/2) 3) (*.f64 (pow.f64 (sqrt.f64 15/2) 3) z))))))) |
(+.f64 (fma.f64 14/5 (*.f64 (/.f64 z (pow.f64 (exp.f64 15/2) 3)) (*.f64 15/2 (sqrt.f64 15/2))) (/.f64 15/2 (/.f64 (pow.f64 (exp.f64 15/2) 3) (sqrt.f64 15/2)))) (-.f64 (fma.f64 9/2 (*.f64 (/.f64 (pow.f64 (log.f64 15/2) 2) (pow.f64 (exp.f64 15/2) 3)) (*.f64 15/2 (*.f64 (sqrt.f64 15/2) (*.f64 z z)))) (/.f64 (*.f64 (*.f64 z z) 323/75) (/.f64 (pow.f64 (exp.f64 15/2) 3) (*.f64 15/2 (sqrt.f64 15/2))))) (fma.f64 3 (/.f64 (log.f64 15/2) (/.f64 (pow.f64 (exp.f64 15/2) 3) (*.f64 (sqrt.f64 15/2) (*.f64 15/2 z)))) (/.f64 (*.f64 42/5 (*.f64 (*.f64 (log.f64 15/2) (*.f64 15/2 (sqrt.f64 15/2))) (*.f64 z z))) (pow.f64 (exp.f64 15/2) 3))))) |
(+.f64 (+.f64 (/.f64 (*.f64 (*.f64 (pow.f64 (log.f64 15/2) 2) (*.f64 z (*.f64 z (sqrt.f64 15/2)))) 135/4) (exp.f64 45/2)) (+.f64 (/.f64 (*.f64 (*.f64 z (sqrt.f64 15/2)) 21) (exp.f64 45/2)) (/.f64 (*.f64 (*.f64 z (*.f64 z (sqrt.f64 15/2))) 323/10) (exp.f64 45/2)))) (-.f64 (*.f64 (/.f64 15/2 (exp.f64 45/2)) (sqrt.f64 15/2)) (+.f64 (/.f64 (*.f64 (*.f64 z (*.f64 (log.f64 15/2) (sqrt.f64 15/2))) 45/2) (exp.f64 45/2)) (/.f64 (*.f64 (*.f64 (log.f64 15/2) (*.f64 z (*.f64 z (sqrt.f64 15/2)))) 63) (exp.f64 45/2))))) |
(-.f64 (+.f64 (/.f64 (pow.f64 (sqrt.f64 15/2) 3) (pow.f64 (exp.f64 15/2) 3)) (+.f64 (*.f64 14/5 (/.f64 (*.f64 z (pow.f64 (sqrt.f64 15/2) 3)) (pow.f64 (exp.f64 15/2) 3))) (+.f64 (*.f64 63/5 (/.f64 (*.f64 (pow.f64 (log.f64 15/2) 2) (*.f64 (pow.f64 z 3) (pow.f64 (sqrt.f64 15/2) 3))) (pow.f64 (exp.f64 15/2) 3))) (+.f64 (*.f64 323/75 (/.f64 (*.f64 (pow.f64 z 2) (pow.f64 (sqrt.f64 15/2) 3)) (pow.f64 (exp.f64 15/2) 3))) (+.f64 (*.f64 16088/3375 (/.f64 (*.f64 (pow.f64 z 3) (pow.f64 (sqrt.f64 15/2) 3)) (pow.f64 (exp.f64 15/2) 3))) (*.f64 9/2 (/.f64 (*.f64 (pow.f64 (log.f64 15/2) 2) (*.f64 (pow.f64 z 2) (pow.f64 (sqrt.f64 15/2) 3))) (pow.f64 (exp.f64 15/2) 3)))))))) (+.f64 (*.f64 9/2 (/.f64 (*.f64 (pow.f64 (log.f64 15/2) 3) (*.f64 (pow.f64 z 3) (pow.f64 (sqrt.f64 15/2) 3))) (pow.f64 (exp.f64 15/2) 3))) (+.f64 (*.f64 42/5 (/.f64 (*.f64 (log.f64 15/2) (*.f64 (pow.f64 z 2) (pow.f64 (sqrt.f64 15/2) 3))) (pow.f64 (exp.f64 15/2) 3))) (+.f64 (*.f64 323/25 (/.f64 (*.f64 (log.f64 15/2) (*.f64 (pow.f64 z 3) (pow.f64 (sqrt.f64 15/2) 3))) (pow.f64 (exp.f64 15/2) 3))) (*.f64 3 (/.f64 (*.f64 (log.f64 15/2) (*.f64 z (pow.f64 (sqrt.f64 15/2) 3))) (pow.f64 (exp.f64 15/2) 3))))))) |
(+.f64 (/.f64 (pow.f64 (sqrt.f64 15/2) 3) (pow.f64 (exp.f64 15/2) 3)) (-.f64 (fma.f64 14/5 (/.f64 z (/.f64 (pow.f64 (exp.f64 15/2) 3) (pow.f64 (sqrt.f64 15/2) 3))) (fma.f64 63/5 (/.f64 (pow.f64 (log.f64 15/2) 2) (/.f64 (pow.f64 (exp.f64 15/2) 3) (*.f64 (pow.f64 (sqrt.f64 15/2) 3) (pow.f64 z 3)))) (fma.f64 323/75 (/.f64 (*.f64 (pow.f64 (sqrt.f64 15/2) 3) (*.f64 z z)) (pow.f64 (exp.f64 15/2) 3)) (fma.f64 16088/3375 (/.f64 (pow.f64 z 3) (/.f64 (pow.f64 (exp.f64 15/2) 3) (pow.f64 (sqrt.f64 15/2) 3))) (*.f64 9/2 (/.f64 (pow.f64 (log.f64 15/2) 2) (/.f64 (pow.f64 (exp.f64 15/2) 3) (*.f64 (pow.f64 (sqrt.f64 15/2) 3) (*.f64 z z))))))))) (fma.f64 9/2 (/.f64 (pow.f64 (log.f64 15/2) 3) (/.f64 (pow.f64 (exp.f64 15/2) 3) (*.f64 (pow.f64 (sqrt.f64 15/2) 3) (pow.f64 z 3)))) (fma.f64 42/5 (/.f64 (log.f64 15/2) (/.f64 (pow.f64 (exp.f64 15/2) 3) (*.f64 (pow.f64 (sqrt.f64 15/2) 3) (*.f64 z z)))) (fma.f64 323/25 (/.f64 (log.f64 15/2) (/.f64 (pow.f64 (exp.f64 15/2) 3) (*.f64 (pow.f64 (sqrt.f64 15/2) 3) (pow.f64 z 3)))) (*.f64 3 (/.f64 (log.f64 15/2) (/.f64 (pow.f64 (exp.f64 15/2) 3) (*.f64 (pow.f64 (sqrt.f64 15/2) 3) z))))))))) |
(+.f64 (fma.f64 14/5 (*.f64 (/.f64 z (pow.f64 (exp.f64 15/2) 3)) (*.f64 15/2 (sqrt.f64 15/2))) (/.f64 15/2 (/.f64 (pow.f64 (exp.f64 15/2) 3) (sqrt.f64 15/2)))) (-.f64 (fma.f64 63/5 (*.f64 (/.f64 (pow.f64 (log.f64 15/2) 2) (pow.f64 (exp.f64 15/2) 3)) (*.f64 (*.f64 15/2 (sqrt.f64 15/2)) (pow.f64 z 3))) (fma.f64 323/75 (*.f64 (/.f64 (*.f64 z z) (pow.f64 (exp.f64 15/2) 3)) (*.f64 15/2 (sqrt.f64 15/2))) (fma.f64 9/2 (*.f64 (/.f64 (pow.f64 (log.f64 15/2) 2) (pow.f64 (exp.f64 15/2) 3)) (*.f64 15/2 (*.f64 (sqrt.f64 15/2) (*.f64 z z)))) (/.f64 16088/3375 (/.f64 (/.f64 (pow.f64 (exp.f64 15/2) 3) (pow.f64 z 3)) (*.f64 15/2 (sqrt.f64 15/2))))))) (fma.f64 9/2 (/.f64 (*.f64 (*.f64 15/2 (sqrt.f64 15/2)) (pow.f64 z 3)) (/.f64 (pow.f64 (exp.f64 15/2) 3) (pow.f64 (log.f64 15/2) 3))) (fma.f64 42/5 (/.f64 (*.f64 (*.f64 (log.f64 15/2) (*.f64 15/2 (sqrt.f64 15/2))) (*.f64 z z)) (pow.f64 (exp.f64 15/2) 3)) (fma.f64 3 (/.f64 (log.f64 15/2) (/.f64 (pow.f64 (exp.f64 15/2) 3) (*.f64 (sqrt.f64 15/2) (*.f64 15/2 z)))) (*.f64 323/25 (/.f64 (log.f64 15/2) (/.f64 (/.f64 (pow.f64 (exp.f64 15/2) 3) (pow.f64 z 3)) (*.f64 15/2 (sqrt.f64 15/2)))))))))) |
(+.f64 (*.f64 (/.f64 15/2 (exp.f64 45/2)) (sqrt.f64 15/2)) (+.f64 (+.f64 (/.f64 (*.f64 (*.f64 (pow.f64 (log.f64 15/2) 2) (*.f64 (pow.f64 z 3) (sqrt.f64 15/2))) 189/2) (exp.f64 45/2)) (+.f64 (/.f64 (*.f64 (*.f64 (pow.f64 (log.f64 15/2) 2) (*.f64 z (*.f64 z (sqrt.f64 15/2)))) 135/4) (exp.f64 45/2)) (+.f64 (/.f64 (*.f64 (*.f64 z (*.f64 z (sqrt.f64 15/2))) 323/10) (exp.f64 45/2)) (/.f64 (*.f64 (*.f64 (pow.f64 z 3) (sqrt.f64 15/2)) 8044/225) (exp.f64 45/2))))) (-.f64 (/.f64 (*.f64 (*.f64 z (sqrt.f64 15/2)) 21) (exp.f64 45/2)) (+.f64 (+.f64 (/.f64 (*.f64 (*.f64 z (*.f64 (log.f64 15/2) (sqrt.f64 15/2))) 45/2) (exp.f64 45/2)) (/.f64 (*.f64 (*.f64 (pow.f64 z 3) (*.f64 (log.f64 15/2) (sqrt.f64 15/2))) 969/10) (exp.f64 45/2))) (+.f64 (/.f64 (*.f64 (*.f64 (log.f64 15/2) (*.f64 z (*.f64 z (sqrt.f64 15/2)))) 63) (exp.f64 45/2)) (/.f64 (*.f64 (*.f64 (*.f64 (pow.f64 z 3) (pow.f64 (log.f64 15/2) 3)) (sqrt.f64 15/2)) 135/4) (exp.f64 45/2))))))) |
(/.f64 (pow.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) 3) (pow.f64 (exp.f64 (-.f64 15/2 z)) 3)) |
(/.f64 (pow.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) 3) (pow.f64 (exp.f64 (-.f64 15/2 z)) 3)) |
(/.f64 (pow.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) 3) (pow.f64 (exp.f64 (-.f64 15/2 z)) 3)) |
(/.f64 (pow.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) 3) (pow.f64 (exp.f64 (-.f64 15/2 z)) 3)) |
(/.f64 (pow.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) 3) (pow.f64 (exp.f64 (-.f64 15/2 z)) 3)) |
(/.f64 (pow.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) 3) (pow.f64 (exp.f64 (-.f64 15/2 z)) 3)) |
(/.f64 (pow.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) 3) (pow.f64 (exp.f64 (-.f64 15/2 z)) 3)) |
(/.f64 (pow.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) 3) (pow.f64 (exp.f64 (-.f64 15/2 z)) 3)) |
8 alts after pruning (7 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 120 | 2 | 122 |
| Fresh | 1 | 5 | 6 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 121 | 8 | 129 |
| Status | Error | Program |
|---|---|---|
| 2.0b | (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (cbrt.f64 (pow.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)) (fma.f64 (*.f64 (cbrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (cbrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (cbrt.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))))))))) | |
| ▶ | 1.2b | (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (-.f64 (fma.f64 14/15 (*.f64 (sqrt.f64 15/2) (/.f64 z (exp.f64 15/2))) (/.f64 (sqrt.f64 15/2) (exp.f64 15/2))) (*.f64 (*.f64 (sqrt.f64 15/2) z) (/.f64 (log.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))))))))) |
| ✓ | 0.5b | (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (cbrt.f64 (pow.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))))))))) |
| 1.4b | (*.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))))))))) | |
| 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))))))))) | |
| 1.6b | (*.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))))))))) | |
| 1.6b | (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (cbrt.f64 (pow.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 (cbrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))) (cbrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))))) (cbrt.f64 (+.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)) (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 (/.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 12176 to 9620 computations (21% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 1.0b | (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (-.f64 (fma.f64 14/15 (*.f64 (sqrt.f64 15/2) (/.f64 z (exp.f64 15/2))) (/.f64 (sqrt.f64 15/2) (exp.f64 15/2))) (*.f64 (*.f64 (sqrt.f64 15/2) z) (/.f64 (log.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)))))))) |
| 1.0b | (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) | |
| 1.0b | (sqrt.f64 (*.f64 (PI.f64) 2)) | |
| ✓ | 1.0b | (/.f64 (sqrt.f64 15/2) (exp.f64 15/2)) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 10.0ms | z | @ | 0 | (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (-.f64 (fma.f64 14/15 (*.f64 (sqrt.f64 15/2) (/.f64 z (exp.f64 15/2))) (/.f64 (sqrt.f64 15/2) (exp.f64 15/2))) (*.f64 (*.f64 (sqrt.f64 15/2) z) (/.f64 (log.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)))))))) |
| 9.0ms | z | @ | inf | (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (-.f64 (fma.f64 14/15 (*.f64 (sqrt.f64 15/2) (/.f64 z (exp.f64 15/2))) (/.f64 (sqrt.f64 15/2) (exp.f64 15/2))) (*.f64 (*.f64 (sqrt.f64 15/2) z) (/.f64 (log.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)))))))) |
| 9.0ms | z | @ | -inf | (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (-.f64 (fma.f64 14/15 (*.f64 (sqrt.f64 15/2) (/.f64 z (exp.f64 15/2))) (/.f64 (sqrt.f64 15/2) (exp.f64 15/2))) (*.f64 (*.f64 (sqrt.f64 15/2) z) (/.f64 (log.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)))))))) |
| 1× | batch-egg-rewrite |
| 718× | add-log-exp_binary64 |
| 716× | log1p-expm1-u_binary64 |
| 716× | expm1-log1p-u_binary64 |
| 715× | pow1_binary64 |
| 60× | add-cbrt-cube_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 61 | 132 |
| 1 | 1489 | 132 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (sqrt.f64 15/2) (exp.f64 15/2)) |
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (-.f64 (fma.f64 14/15 (*.f64 (sqrt.f64 15/2) (/.f64 z (exp.f64 15/2))) (/.f64 (sqrt.f64 15/2) (exp.f64 15/2))) (*.f64 (*.f64 (sqrt.f64 15/2) z) (/.f64 (log.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)))))))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 15/2) (/.f64 1 (exp.f64 15/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (sqrt.f64 15/2) (exp.f64 15/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (/.f64 (sqrt.f64 15/2) (exp.f64 15/2))) (cbrt.f64 (/.f64 (sqrt.f64 15/2) (exp.f64 15/2)))) (cbrt.f64 (/.f64 (sqrt.f64 15/2) (exp.f64 15/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (sqrt.f64 15/2) (exp.f64 15/2))) (sqrt.f64 (/.f64 (sqrt.f64 15/2) (exp.f64 15/2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 15/2) (exp.f64 15/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (sqrt.f64 15/2) (exp.f64 15/2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (*.f64 (/.f64 (sqrt.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))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (sqrt.f64 15/2) (exp.f64 15/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (sqrt.f64 15/2) (exp.f64 15/2))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (sqrt.f64 15/2) (exp.f64 15/2)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (-.f64 (fma.f64 14/15 (*.f64 (sqrt.f64 15/2) (/.f64 z (exp.f64 15/2))) (/.f64 (sqrt.f64 15/2) (exp.f64 15/2))) (*.f64 (sqrt.f64 15/2) (*.f64 z (/.f64 (log.f64 15/2) (exp.f64 15/2))))))) (*.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (-.f64 (fma.f64 14/15 (*.f64 (sqrt.f64 15/2) (/.f64 z (exp.f64 15/2))) (/.f64 (sqrt.f64 15/2) (exp.f64 15/2))) (*.f64 (sqrt.f64 15/2) (*.f64 z (/.f64 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2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (-.f64 (fma.f64 14/15 (*.f64 (sqrt.f64 15/2) (/.f64 z (exp.f64 15/2))) (/.f64 (sqrt.f64 15/2) (exp.f64 15/2))) (*.f64 (sqrt.f64 15/2) (*.f64 z (/.f64 (log.f64 15/2) (exp.f64 15/2))))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (-.f64 (fma.f64 14/15 (*.f64 (sqrt.f64 15/2) (/.f64 z (exp.f64 15/2))) (/.f64 (sqrt.f64 15/2) (exp.f64 15/2))) (*.f64 (sqrt.f64 15/2) (*.f64 z (/.f64 (log.f64 15/2) (exp.f64 15/2))))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (-.f64 (fma.f64 14/15 (*.f64 (sqrt.f64 15/2) (/.f64 z (exp.f64 15/2))) (/.f64 (sqrt.f64 15/2) (exp.f64 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| 1× | egg-herbie |
| 581× | fma-def_binary64 |
| 368× | associate-/l*_binary64 |
| 325× | cancel-sign-sub-inv_binary64 |
| 319× | associate-*l/_binary64 |
| 295× | times-frac_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 117 | 1506 |
| 1 | 386 | 1485 |
| 2 | 1575 | 1413 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 15/2)) (exp.f64 15/2)))) |
(-.f64 (+.f64 (*.f64 2408637854869972117504576098451/3528000000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (sqrt.f64 2) (*.f64 z (sqrt.f64 15/2))) (exp.f64 15/2)))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 15/2)) (exp.f64 15/2))))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (log.f64 15/2) (*.f64 (sqrt.f64 2) (*.f64 z (sqrt.f64 15/2)))) (exp.f64 15/2))))) |
(-.f64 (+.f64 (*.f64 564731375554618463797500153625871/592704000000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 z 2) (sqrt.f64 15/2))) (exp.f64 15/2)))) (+.f64 (*.f64 2408637854869972117504576098451/3528000000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (sqrt.f64 2) (*.f64 z (sqrt.f64 15/2))) (exp.f64 15/2)))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 15/2)) (exp.f64 15/2)))))) (+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (log.f64 15/2) (*.f64 (sqrt.f64 2) (*.f64 z (sqrt.f64 15/2)))) (exp.f64 15/2)))) (*.f64 102757979785251069442117317613/235200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (log.f64 15/2) (*.f64 (pow.f64 z 2) (sqrt.f64 15/2)))) (exp.f64 15/2)))))) |
(-.f64 (+.f64 (*.f64 111062783234896951847520204975544891/99574272000000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 z 3) (sqrt.f64 15/2))) (exp.f64 15/2)))) (+.f64 (*.f64 564731375554618463797500153625871/592704000000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 z 2) (sqrt.f64 15/2))) (exp.f64 15/2)))) (+.f64 (*.f64 2408637854869972117504576098451/3528000000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (sqrt.f64 2) (*.f64 z (sqrt.f64 15/2))) (exp.f64 15/2)))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 15/2)) (exp.f64 15/2))))))) (+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (log.f64 15/2) (*.f64 (sqrt.f64 2) (*.f64 z (sqrt.f64 15/2)))) (exp.f64 15/2)))) (+.f64 (*.f64 102757979785251069442117317613/235200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (log.f64 15/2) (*.f64 (pow.f64 z 2) (sqrt.f64 15/2)))) (exp.f64 15/2)))) (*.f64 64608921419941589693928044520019/118540800000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (log.f64 15/2) (*.f64 (pow.f64 z 3) (sqrt.f64 15/2)))) (exp.f64 15/2))))))) |
(*.f64 9999999999998099/10000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 2) (*.f64 z (-.f64 (*.f64 14/15 (/.f64 (sqrt.f64 15/2) (exp.f64 15/2))) (/.f64 (*.f64 (log.f64 15/2) (sqrt.f64 15/2)) (exp.f64 15/2))))))) |
(-.f64 (+.f64 (*.f64 611458333333720910362579/25000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (log.f64 15/2) (sqrt.f64 15/2))) (exp.f64 15/2)))) (*.f64 69999999999986693/75000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (sqrt.f64 2) (*.f64 z (sqrt.f64 15/2))) (exp.f64 15/2))))) (+.f64 (*.f64 9999999999998099/10000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (log.f64 15/2) (*.f64 (sqrt.f64 2) (*.f64 z (sqrt.f64 15/2)))) (exp.f64 15/2)))) (*.f64 4092708333336082016288053/187500000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 15/2)) (exp.f64 15/2)))))) |
(-.f64 (+.f64 (*.f64 17072670717516914285600889/125000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 15/2)) (*.f64 (exp.f64 15/2) z)))) (+.f64 (*.f64 611458333333720910362579/25000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (log.f64 15/2) (sqrt.f64 15/2))) (exp.f64 15/2)))) (*.f64 69999999999986693/75000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (sqrt.f64 2) (*.f64 z (sqrt.f64 15/2))) (exp.f64 15/2)))))) (+.f64 (*.f64 1078390842009938509147167/6250000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (log.f64 15/2) (sqrt.f64 15/2))) (*.f64 (exp.f64 15/2) z)))) (+.f64 (*.f64 9999999999998099/10000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (log.f64 15/2) (*.f64 (sqrt.f64 2) (*.f64 z (sqrt.f64 15/2)))) (exp.f64 15/2)))) (*.f64 4092708333336082016288053/187500000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 15/2)) (exp.f64 15/2))))))) |
(-.f64 (+.f64 (*.f64 398308844029173303716389/6250000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (log.f64 15/2) (*.f64 (sqrt.f64 2) (sqrt.f64 15/2))) (*.f64 (exp.f64 15/2) (pow.f64 z 2))))) (+.f64 (*.f64 17072670717516914285600889/125000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 15/2)) (*.f64 (exp.f64 15/2) z)))) (+.f64 (*.f64 10599538813740651385178059/93750000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 15/2)) (*.f64 (exp.f64 15/2) (pow.f64 z 2))))) (+.f64 (*.f64 611458333333720910362579/25000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (log.f64 15/2) (sqrt.f64 15/2))) (exp.f64 15/2)))) (*.f64 69999999999986693/75000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (sqrt.f64 2) (*.f64 z (sqrt.f64 15/2))) (exp.f64 15/2)))))))) (+.f64 (*.f64 1078390842009938509147167/6250000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (log.f64 15/2) (sqrt.f64 15/2))) (*.f64 (exp.f64 15/2) z)))) (+.f64 (*.f64 9999999999998099/10000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (log.f64 15/2) (*.f64 (sqrt.f64 2) (*.f64 z (sqrt.f64 15/2)))) (exp.f64 15/2)))) (*.f64 4092708333336082016288053/187500000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 15/2)) (exp.f64 15/2))))))) |
(*.f64 -9999999999998099/10000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 2) (*.f64 z (-.f64 (/.f64 (*.f64 (log.f64 15/2) (sqrt.f64 15/2)) (exp.f64 15/2)) (*.f64 14/15 (/.f64 (sqrt.f64 15/2) (exp.f64 15/2)))))))) |
(-.f64 (+.f64 (*.f64 611458333333720910362579/25000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (log.f64 15/2) (sqrt.f64 15/2))) (exp.f64 15/2)))) (*.f64 69999999999986693/75000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (sqrt.f64 2) (*.f64 z (sqrt.f64 15/2))) (exp.f64 15/2))))) (+.f64 (*.f64 9999999999998099/10000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (log.f64 15/2) (*.f64 (sqrt.f64 2) (*.f64 z (sqrt.f64 15/2)))) (exp.f64 15/2)))) (*.f64 4092708333336082016288053/187500000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 15/2)) (exp.f64 15/2)))))) |
(-.f64 (+.f64 (*.f64 17072670717516914285600889/125000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 15/2)) (*.f64 (exp.f64 15/2) z)))) (+.f64 (*.f64 611458333333720910362579/25000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (log.f64 15/2) (sqrt.f64 15/2))) (exp.f64 15/2)))) (*.f64 69999999999986693/75000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (sqrt.f64 2) (*.f64 z (sqrt.f64 15/2))) (exp.f64 15/2)))))) (+.f64 (*.f64 1078390842009938509147167/6250000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (log.f64 15/2) (sqrt.f64 15/2))) (*.f64 (exp.f64 15/2) z)))) (+.f64 (*.f64 9999999999998099/10000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (log.f64 15/2) (*.f64 (sqrt.f64 2) (*.f64 z (sqrt.f64 15/2)))) (exp.f64 15/2)))) (*.f64 4092708333336082016288053/187500000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 15/2)) (exp.f64 15/2))))))) |
(-.f64 (+.f64 (*.f64 398308844029173303716389/6250000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (log.f64 15/2) (*.f64 (sqrt.f64 2) (sqrt.f64 15/2))) (*.f64 (exp.f64 15/2) (pow.f64 z 2))))) (+.f64 (*.f64 17072670717516914285600889/125000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 15/2)) (*.f64 (exp.f64 15/2) z)))) (+.f64 (*.f64 10599538813740651385178059/93750000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 15/2)) (*.f64 (exp.f64 15/2) (pow.f64 z 2))))) (+.f64 (*.f64 611458333333720910362579/25000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (log.f64 15/2) (sqrt.f64 15/2))) (exp.f64 15/2)))) (*.f64 69999999999986693/75000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (sqrt.f64 2) (*.f64 z (sqrt.f64 15/2))) (exp.f64 15/2)))))))) (+.f64 (*.f64 1078390842009938509147167/6250000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (log.f64 15/2) (sqrt.f64 15/2))) (*.f64 (exp.f64 15/2) z)))) (+.f64 (*.f64 9999999999998099/10000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (log.f64 15/2) (*.f64 (sqrt.f64 2) (*.f64 z (sqrt.f64 15/2)))) (exp.f64 15/2)))) (*.f64 4092708333336082016288053/187500000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 15/2)) (exp.f64 15/2))))))) |
| Outputs |
|---|
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 15/2)) (exp.f64 15/2)))) |
(*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (PI.f64))) (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 15/2)) (exp.f64 15/2))) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 2) (exp.f64 15/2)) (sqrt.f64 15/2)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (PI.f64)))) |
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 15/2) (/.f64 (exp.f64 15/2) (sqrt.f64 2))))) |
(-.f64 (+.f64 (*.f64 2408637854869972117504576098451/3528000000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (sqrt.f64 2) (*.f64 z (sqrt.f64 15/2))) (exp.f64 15/2)))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 15/2)) (exp.f64 15/2))))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (log.f64 15/2) (*.f64 (sqrt.f64 2) (*.f64 z (sqrt.f64 15/2)))) (exp.f64 15/2))))) |
(-.f64 (fma.f64 2408637854869972117504576098451/3528000000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (*.f64 (sqrt.f64 2) z) (sqrt.f64 15/2)) (exp.f64 15/2))) (*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (PI.f64))) (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 15/2)) (exp.f64 15/2)))) (*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (PI.f64))) (/.f64 (log.f64 15/2) (/.f64 (exp.f64 15/2) (*.f64 (*.f64 (sqrt.f64 2) z) (sqrt.f64 15/2)))))) |
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(-.f64 (fma.f64 398308844029173303716389/6250000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (/.f64 (log.f64 15/2) (exp.f64 15/2)) (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 15/2)) (*.f64 z z)))) (fma.f64 17072670717516914285600889/125000000000000000000000 (/.f64 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 2) (sqrt.f64 15/2))) (*.f64 (exp.f64 15/2) z)) (fma.f64 10599538813740651385178059/93750000000000000000000 (/.f64 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 2) (sqrt.f64 15/2))) (*.f64 (exp.f64 15/2) (*.f64 z z))) (fma.f64 611458333333720910362579/25000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 2) (/.f64 (exp.f64 15/2) (*.f64 (sqrt.f64 15/2) (log.f64 15/2))))) (*.f64 (*.f64 69999999999986693/75000000000000000 (sqrt.f64 (PI.f64))) (/.f64 (*.f64 (*.f64 (sqrt.f64 2) z) (sqrt.f64 15/2)) (exp.f64 15/2))))))) (fma.f64 1078390842009938509147167/6250000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (/.f64 (sqrt.f64 2) (exp.f64 15/2)) (/.f64 (*.f64 (sqrt.f64 15/2) (log.f64 15/2)) z))) (fma.f64 9999999999998099/10000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (log.f64 15/2) (/.f64 (exp.f64 15/2) (*.f64 (*.f64 (sqrt.f64 2) z) (sqrt.f64 15/2))))) (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 15/2)) (exp.f64 15/2))) 4092708333336082016288053/187500000000000000000000)))) |
(-.f64 (fma.f64 398308844029173303716389/6250000000000000000000 (*.f64 (/.f64 (log.f64 15/2) (exp.f64 15/2)) (*.f64 (*.f64 (/.f64 (sqrt.f64 15/2) z) (/.f64 (sqrt.f64 2) z)) (sqrt.f64 (PI.f64)))) (fma.f64 17072670717516914285600889/125000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (/.f64 (sqrt.f64 2) (exp.f64 15/2)) (/.f64 (sqrt.f64 15/2) z))) (fma.f64 10599538813740651385178059/93750000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (/.f64 (sqrt.f64 2) (exp.f64 15/2)) (/.f64 (sqrt.f64 15/2) (*.f64 z z)))) (fma.f64 611458333333720910362579/25000000000000000000000 (/.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (/.f64 (exp.f64 15/2) (*.f64 (sqrt.f64 15/2) (log.f64 15/2)))) (/.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (*.f64 (sqrt.f64 15/2) z)) 69999999999986693/75000000000000000) (exp.f64 15/2)))))) (fma.f64 1078390842009938509147167/6250000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (/.f64 (sqrt.f64 2) (exp.f64 15/2)) (/.f64 (sqrt.f64 15/2) (/.f64 z (log.f64 15/2))))) (fma.f64 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (/.f64 (sqrt.f64 2) (exp.f64 15/2)) (sqrt.f64 15/2))) 4092708333336082016288053/187500000000000000000000 (*.f64 (/.f64 (*.f64 (log.f64 15/2) (sqrt.f64 (PI.f64))) (/.f64 (/.f64 (exp.f64 15/2) (sqrt.f64 2)) (*.f64 (sqrt.f64 15/2) z))) 9999999999998099/10000000000000000)))) |
(-.f64 (+.f64 (+.f64 (*.f64 (sqrt.f64 (PI.f64)) (+.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 15/2) (/.f64 (exp.f64 15/2) (sqrt.f64 2))) z) 69999999999986693/75000000000000000) (*.f64 (*.f64 (/.f64 (sqrt.f64 15/2) (/.f64 (exp.f64 15/2) (sqrt.f64 2))) (log.f64 15/2)) 611458333333720910362579/25000000000000000000000))) (*.f64 (sqrt.f64 (PI.f64)) (+.f64 (/.f64 (*.f64 (sqrt.f64 2) 10599538813740651385178059/93750000000000000000000) (*.f64 (/.f64 (*.f64 z z) (sqrt.f64 15/2)) (exp.f64 15/2))) (*.f64 (/.f64 (/.f64 (sqrt.f64 2) (/.f64 z (sqrt.f64 15/2))) (exp.f64 15/2)) 17072670717516914285600889/125000000000000000000000)))) (*.f64 (sqrt.f64 (PI.f64)) (-.f64 (*.f64 398308844029173303716389/6250000000000000000000 (*.f64 (/.f64 (sqrt.f64 15/2) (/.f64 (exp.f64 15/2) (sqrt.f64 2))) (/.f64 (log.f64 15/2) (*.f64 z z)))) (*.f64 1078390842009938509147167/6250000000000000000000 (*.f64 (/.f64 (sqrt.f64 15/2) (/.f64 (exp.f64 15/2) (sqrt.f64 2))) (/.f64 (log.f64 15/2) z)))))) (*.f64 (sqrt.f64 (PI.f64)) (+.f64 (*.f64 9999999999998099/10000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 15/2) (log.f64 15/2)) (exp.f64 15/2)) (*.f64 (sqrt.f64 2) z))) (*.f64 4092708333336082016288053/187500000000000000000000 (/.f64 (sqrt.f64 15/2) (/.f64 (exp.f64 15/2) (sqrt.f64 2))))))) |
8 alts after pruning (6 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 90 | 1 | 91 |
| Fresh | 1 | 5 | 6 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 1 | 1 |
| Total | 91 | 8 | 99 |
| Status | Error | Program |
|---|---|---|
| 2.0b | (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (cbrt.f64 (pow.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)) (fma.f64 (*.f64 (cbrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (cbrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (cbrt.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))))))))) | |
| ✓ | 1.2b | (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (-.f64 (fma.f64 14/15 (*.f64 (sqrt.f64 15/2) (/.f64 z (exp.f64 15/2))) (/.f64 (sqrt.f64 15/2) (exp.f64 15/2))) (*.f64 (*.f64 (sqrt.f64 15/2) z) (/.f64 (log.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))))))))) |
| ✓ | 0.5b | (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (cbrt.f64 (pow.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))))))))) |
| ▶ | 1.4b | (*.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))))))))) |
| 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))))))))) | |
| 2.6b | (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 15/2)) (exp.f64 15/2))))) | |
| 1.6b | (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (cbrt.f64 (pow.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 (cbrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))) (cbrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))))) (cbrt.f64 (+.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)) (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 (/.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 9299 to 7531 computations (19% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.9b | (/.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 (PI.f64)) |
| 1× | batch-egg-rewrite |
| 250× | pow1_binary64 |
| 242× | add-sqr-sqrt_binary64 |
| 235× | *-un-lft-identity_binary64 |
| 233× | add-log-exp_binary64 |
| 233× | log1p-expm1-u_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 3 | 4 |
| 1 | 59 | 4 |
| 2 | 667 | 4 |
| 1× | node limit |
| Inputs |
|---|
(sqrt.f64 (PI.f64)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (PI.f64))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (PI.f64)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (sqrt.f64 (PI.f64))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (PI.f64)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (PI.f64)) (pow.f64 1 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (PI.f64)) (sqrt.f64 (cbrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (PI.f64) 1/4) (pow.f64 (PI.f64) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (pow.f64 (*.f64 (cbrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (PI.f64))) (cbrt.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (PI.f64))) (pow.f64 (*.f64 (sqrt.f64 (cbrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (PI.f64) 1/4)) (pow.f64 (*.f64 (pow.f64 (PI.f64) 1/4) (sqrt.f64 (PI.f64))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (sqrt.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (pow.f64 (PI.f64) 1/4) 3) 1/2) (sqrt.f64 (pow.f64 (PI.f64) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (sqrt.f64 (PI.f64)) (cbrt.f64 (PI.f64))) 1/2) (cbrt.f64 (pow.f64 (PI.f64) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (pow.f64 (PI.f64) 3/2)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (PI.f64) 3/2)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (PI.f64) (cbrt.f64 (PI.f64))) 1/3) (cbrt.f64 (sqrt.f64 (cbrt.f64 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (PI.f64) (pow.f64 (PI.f64) 1/4)) 1/3) (cbrt.f64 (pow.f64 (PI.f64) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (cbrt.f64 (PI.f64)))) 2) 3) (sqrt.f64 (cbrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (PI.f64) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (PI.f64)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (PI.f64) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (PI.f64) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (cbrt.f64 (PI.f64))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (PI.f64) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (PI.f64)))))))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 0 | 0 |
| 1× | saturated |
| Inputs |
|---|
| Outputs |
|---|
8 alts after pruning (5 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 122 | 1 | 123 |
| Fresh | 1 | 4 | 5 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 2 | 2 |
| Total | 123 | 8 | 131 |
| Status | Error | Program |
|---|---|---|
| 2.0b | (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (cbrt.f64 (pow.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)) (fma.f64 (*.f64 (cbrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (cbrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (cbrt.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))))))))) | |
| ✓ | 1.2b | (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (-.f64 (fma.f64 14/15 (*.f64 (sqrt.f64 15/2) (/.f64 z (exp.f64 15/2))) (/.f64 (sqrt.f64 15/2) (exp.f64 15/2))) (*.f64 (*.f64 (sqrt.f64 15/2) z) (/.f64 (log.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))))))))) |
| ✓ | 0.5b | (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (cbrt.f64 (pow.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))))))))) |
| ✓ | 1.4b | (*.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))))))))) |
| 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))))))))) | |
| 2.6b | (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 15/2)) (exp.f64 15/2))))) | |
| 2.0b | (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (*.f64 (cbrt.f64 (pow.f64 (PI.f64) 3/2)) (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))))))))) | |
| 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 (/.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 10799 to 8242 computations (23.7% saved)
Total 0.2b remaining (41%)
Threshold costs 0.2b (41%)
Compiled 13702 to 11290 computations (17.6% saved)
| 1× | egg-herbie |
| 18× | +-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 | 60 | 118 |
| 1 | 85 | 118 |
| 2 | 98 | 118 |
| 3 | 100 | 118 |
| 4 | 101 | 118 |
| 1× | saturated |
| Inputs |
|---|
(*.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)) (fma.f64 7713234287776531/10000000000000 (/.f64 1 (-.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 (*.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)) (fma.f64 7713234287776531/10000000000000 (/.f64 1 (-.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 742 to 612 computations (17.5% saved)
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