Time bar (total: 58.7s)
| 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)
| 49.6s | 3941× | body | 8192 | exit |
| 4.1s | 8256× | body | 128 | valid |
| 99.0ms | 178× | 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 |
|---|---|---|
| ▶ | 0.5b | (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z)))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))) |
| 1.7b | (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2) (+.f64 (-.f64 (-.f64 1 z) 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 8))))) |
Compiled 596 to 508 computations (14.8% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.9b | (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z)))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))) |
| ✓ | 1.0b | (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z))) |
| ✓ | 1.0b | (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) |
| ✓ | 1.0b | (sqrt.f64 (*.f64 (PI.f64) 2)) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | z | @ | 0 | (*.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)))))))) |
| 3.0ms | z | @ | inf | (*.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)))))))) |
| 2.0ms | z | @ | -inf | (*.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)))))))) |
| 2.0ms | z | @ | 0 | (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z))) |
| 1.0ms | z | @ | inf | (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z))) |
| 1× | batch-egg-rewrite |
| 667× | add-log-exp_binary64 |
| 666× | log1p-expm1-u_binary64 |
| 666× | expm1-log1p-u_binary64 |
| 660× | pow1_binary64 |
| 54× | add-cbrt-cube_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 55 | 143 |
| 1 | 1373 | 143 |
| 1× | node limit |
| Inputs |
|---|
(sqrt.f64 (*.f64 (PI.f64) 2)) |
(+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) |
(/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 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)))))))) |
| Outputs |
|---|
((#(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 log.f64 (exp.f64 (sqrt.f64 (*.f64 (PI.f64) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (*.f64 (PI.f64) 2) (sqrt.f64 (*.f64 (PI.f64) 2))))))) (#(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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((#(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 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z))))) (*.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 (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 (*.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 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| 1× | egg-herbie |
| 923× | fma-def_binary64 |
| 475× | times-frac_binary64 |
| 360× | distribute-rgt-in_binary64 |
| 123× | *-commutative_binary64 |
| 91× | distribute-neg-in_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 206 | 2235 |
| 1 | 675 | 2112 |
| 2 | 2077 | 1939 |
| 1× | node limit |
| Inputs |
|---|
12777243138120953/60000000000000 |
(+.f64 12777243138120953/60000000000000 (*.f64 53758197989915921/720000000000000 z)) |
(+.f64 12777243138120953/60000000000000 (+.f64 (*.f64 222980468271960011/8640000000000000 (pow.f64 z 2)) (*.f64 53758197989915921/720000000000000 z))) |
(+.f64 12777243138120953/60000000000000 (+.f64 (*.f64 36630596080989161/4147200000000000 (pow.f64 z 3)) (+.f64 (*.f64 222980468271960011/8640000000000000 (pow.f64 z 2)) (*.f64 53758197989915921/720000000000000 z)))) |
(/.f64 -47576671969241/80000000000 z) |
(neg.f64 (+.f64 (*.f64 16075101696843969/10000000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 47576671969241/80000000000 (/.f64 1 z)))) |
(neg.f64 (+.f64 (*.f64 16075101696843969/10000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (*.f64 47576671969241/80000000000 (/.f64 1 z)) (*.f64 41160703924046283/10000000000000 (/.f64 1 (pow.f64 z 3)))))) |
(neg.f64 (+.f64 (*.f64 16075101696843969/10000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (*.f64 95223707106196353/10000000000000 (/.f64 1 (pow.f64 z 4))) (+.f64 (*.f64 47576671969241/80000000000 (/.f64 1 z)) (*.f64 41160703924046283/10000000000000 (/.f64 1 (pow.f64 z 3))))))) |
(/.f64 -47576671969241/80000000000 z) |
(neg.f64 (+.f64 (*.f64 16075101696843969/10000000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 47576671969241/80000000000 (/.f64 1 z)))) |
(neg.f64 (+.f64 (*.f64 16075101696843969/10000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (*.f64 47576671969241/80000000000 (/.f64 1 z)) (*.f64 41160703924046283/10000000000000 (/.f64 1 (pow.f64 z 3)))))) |
(neg.f64 (+.f64 (*.f64 16075101696843969/10000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (*.f64 95223707106196353/10000000000000 (/.f64 1 (pow.f64 z 4))) (+.f64 (*.f64 47576671969241/80000000000 (/.f64 1 z)) (*.f64 41160703924046283/10000000000000 (/.f64 1 (pow.f64 z 3))))))) |
(/.f64 (sqrt.f64 15/2) (exp.f64 15/2)) |
(+.f64 (*.f64 (-.f64 (/.f64 (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (sqrt.f64 15/2)) (exp.f64 15/2)) (*.f64 -1 (/.f64 (sqrt.f64 15/2) (exp.f64 15/2)))) z) (/.f64 (sqrt.f64 15/2) (exp.f64 15/2))) |
(+.f64 (*.f64 (-.f64 (/.f64 (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (sqrt.f64 15/2)) (exp.f64 15/2)) (*.f64 -1 (/.f64 (sqrt.f64 15/2) (exp.f64 15/2)))) z) (+.f64 (*.f64 (-.f64 (/.f64 (*.f64 (+.f64 29/225 (*.f64 1/2 (pow.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) 2))) (sqrt.f64 15/2)) (exp.f64 15/2)) (+.f64 (*.f64 1/2 (/.f64 (sqrt.f64 15/2) (exp.f64 15/2))) (*.f64 -1 (-.f64 (/.f64 (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (sqrt.f64 15/2)) (exp.f64 15/2)) (*.f64 -1 (/.f64 (sqrt.f64 15/2) (exp.f64 15/2))))))) (pow.f64 z 2)) (/.f64 (sqrt.f64 15/2) (exp.f64 15/2)))) |
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(/.f64 (exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2))) (exp.f64 (+.f64 (*.f64 -1 z) 15/2))) |
(/.f64 (exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2))) (exp.f64 (+.f64 (*.f64 -1 z) 15/2))) |
(/.f64 (exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2))) (exp.f64 (+.f64 (*.f64 -1 z) 15/2))) |
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(*.f64 9999999999998099/10000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (-.f64 15/2 z))) (sqrt.f64 (PI.f64)))) |
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| Outputs |
|---|
12777243138120953/60000000000000 |
(+.f64 12777243138120953/60000000000000 (*.f64 53758197989915921/720000000000000 z)) |
(fma.f64 53758197989915921/720000000000000 z 12777243138120953/60000000000000) |
(+.f64 12777243138120953/60000000000000 (+.f64 (*.f64 222980468271960011/8640000000000000 (pow.f64 z 2)) (*.f64 53758197989915921/720000000000000 z))) |
(+.f64 12777243138120953/60000000000000 (fma.f64 222980468271960011/8640000000000000 (*.f64 z z) (*.f64 53758197989915921/720000000000000 z))) |
(+.f64 (*.f64 z (*.f64 z 222980468271960011/8640000000000000)) (fma.f64 53758197989915921/720000000000000 z 12777243138120953/60000000000000)) |
(fma.f64 53758197989915921/720000000000000 z (fma.f64 z (*.f64 z 222980468271960011/8640000000000000) 12777243138120953/60000000000000)) |
(+.f64 12777243138120953/60000000000000 (+.f64 (*.f64 36630596080989161/4147200000000000 (pow.f64 z 3)) (+.f64 (*.f64 222980468271960011/8640000000000000 (pow.f64 z 2)) (*.f64 53758197989915921/720000000000000 z)))) |
(+.f64 12777243138120953/60000000000000 (fma.f64 36630596080989161/4147200000000000 (pow.f64 z 3) (fma.f64 222980468271960011/8640000000000000 (*.f64 z z) (*.f64 53758197989915921/720000000000000 z)))) |
(+.f64 (fma.f64 36630596080989161/4147200000000000 (pow.f64 z 3) (*.f64 z (*.f64 z 222980468271960011/8640000000000000))) (fma.f64 53758197989915921/720000000000000 z 12777243138120953/60000000000000)) |
(fma.f64 36630596080989161/4147200000000000 (pow.f64 z 3) (fma.f64 53758197989915921/720000000000000 z (fma.f64 z (*.f64 z 222980468271960011/8640000000000000) 12777243138120953/60000000000000))) |
(/.f64 -47576671969241/80000000000 z) |
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(*.f64 (sqrt.f64 (PI.f64)) (+.f64 (fma.f64 9999999999998099/10000000000000000 (*.f64 (/.f64 (sqrt.f64 2) (exp.f64 (-.f64 15/2 z))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (*.f64 1078390842009938509147167/6250000000000000000000 (*.f64 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) z) (/.f64 (sqrt.f64 2) (*.f64 z (exp.f64 (-.f64 15/2 z))))))) (fma.f64 -398308844029173303716389/6250000000000000000000 (/.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 2)) (*.f64 (pow.f64 z 3) (exp.f64 (-.f64 15/2 z)))) (*.f64 (*.f64 -611458333333720910362579/25000000000000000000000 (/.f64 (sqrt.f64 2) (exp.f64 (-.f64 15/2 z)))) (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) z))))) |
(*.f64 9999999999998099/10000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2)))) (exp.f64 (+.f64 (*.f64 -1 z) 15/2))) (sqrt.f64 (PI.f64)))) |
(*.f64 9999999999998099/10000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 2) (/.f64 (exp.f64 (-.f64 15/2 z)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 2) (exp.f64 (-.f64 15/2 z))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (*.f64 (sqrt.f64 (PI.f64)) 9999999999998099/10000000000000000)) |
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(fma.f64 -611458333333720910362579/25000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (/.f64 (sqrt.f64 2) (exp.f64 (-.f64 15/2 z))) (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) z))) (*.f64 9999999999998099/10000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 2) (/.f64 (exp.f64 (-.f64 15/2 z)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))))) |
(*.f64 (sqrt.f64 (PI.f64)) (+.f64 (*.f64 9999999999998099/10000000000000000 (*.f64 (/.f64 (sqrt.f64 2) (exp.f64 (-.f64 15/2 z))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) (/.f64 (*.f64 -611458333333720910362579/25000000000000000000000 (sqrt.f64 2)) (/.f64 (*.f64 z (exp.f64 (-.f64 15/2 z))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))) |
(*.f64 (sqrt.f64 (PI.f64)) (fma.f64 9999999999998099/10000000000000000 (*.f64 (/.f64 (sqrt.f64 2) (exp.f64 (-.f64 15/2 z))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (*.f64 (*.f64 -611458333333720910362579/25000000000000000000000 (/.f64 (sqrt.f64 2) (exp.f64 (-.f64 15/2 z)))) (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) z)))) |
(+.f64 (*.f64 -611458333333720910362579/25000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2)))) (*.f64 (exp.f64 (+.f64 (*.f64 -1 z) 15/2)) z)) (sqrt.f64 (PI.f64)))) (+.f64 (*.f64 1078390842009938509147167/6250000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2)))) (*.f64 (exp.f64 (+.f64 (*.f64 -1 z) 15/2)) (pow.f64 z 2))) (sqrt.f64 (PI.f64)))) (*.f64 9999999999998099/10000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2)))) (exp.f64 (+.f64 (*.f64 -1 z) 15/2))) (sqrt.f64 (PI.f64)))))) |
(fma.f64 -611458333333720910362579/25000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (/.f64 (sqrt.f64 2) (exp.f64 (-.f64 15/2 z))) (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) z))) (fma.f64 1078390842009938509147167/6250000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (/.f64 (sqrt.f64 2) (exp.f64 (-.f64 15/2 z))) (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 z z)))) (*.f64 9999999999998099/10000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 2) (/.f64 (exp.f64 (-.f64 15/2 z)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))))) |
(fma.f64 -611458333333720910362579/25000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (/.f64 (sqrt.f64 2) (exp.f64 (-.f64 15/2 z))) (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) z))) (*.f64 (sqrt.f64 (PI.f64)) (+.f64 (*.f64 9999999999998099/10000000000000000 (*.f64 (/.f64 (sqrt.f64 2) (exp.f64 (-.f64 15/2 z))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) (*.f64 1078390842009938509147167/6250000000000000000000 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 (*.f64 z (*.f64 z (exp.f64 (-.f64 15/2 z)))) (sqrt.f64 2))))))) |
(*.f64 (sqrt.f64 (PI.f64)) (+.f64 (*.f64 9999999999998099/10000000000000000 (*.f64 (/.f64 (sqrt.f64 2) (exp.f64 (-.f64 15/2 z))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) (fma.f64 -611458333333720910362579/25000000000000000000000 (*.f64 (/.f64 (sqrt.f64 2) (exp.f64 (-.f64 15/2 z))) (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) z)) (*.f64 1078390842009938509147167/6250000000000000000000 (*.f64 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) z) (/.f64 (sqrt.f64 2) (*.f64 z (exp.f64 (-.f64 15/2 z))))))))) |
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(fma.f64 -398308844029173303716389/6250000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (/.f64 (sqrt.f64 2) (exp.f64 (-.f64 15/2 z))) (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (pow.f64 z 3)))) (fma.f64 -611458333333720910362579/25000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (/.f64 (sqrt.f64 2) (exp.f64 (-.f64 15/2 z))) (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) z))) (fma.f64 1078390842009938509147167/6250000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (/.f64 (sqrt.f64 2) (exp.f64 (-.f64 15/2 z))) (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 z z)))) (*.f64 9999999999998099/10000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 2) (/.f64 (exp.f64 (-.f64 15/2 z)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))))))) |
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(*.f64 (sqrt.f64 (PI.f64)) (+.f64 (fma.f64 9999999999998099/10000000000000000 (*.f64 (/.f64 (sqrt.f64 2) (exp.f64 (-.f64 15/2 z))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (*.f64 1078390842009938509147167/6250000000000000000000 (*.f64 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) z) (/.f64 (sqrt.f64 2) (*.f64 z (exp.f64 (-.f64 15/2 z))))))) (fma.f64 -398308844029173303716389/6250000000000000000000 (/.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 2)) (*.f64 (pow.f64 z 3) (exp.f64 (-.f64 15/2 z)))) (*.f64 (*.f64 -611458333333720910362579/25000000000000000000000 (/.f64 (sqrt.f64 2) (exp.f64 (-.f64 15/2 z)))) (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) z))))) |
9 alts after pruning (9 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 75 | 9 | 84 |
| Fresh | 1 | 0 | 1 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 77 | 9 | 86 |
| Status | Error | Program |
|---|---|---|
| 1.4b | (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (log.f64 (/.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)) (/.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 53758197989915921/720000000000000 z (fma.f64 z (*.f64 z 222980468271960011/8640000000000000) 12777243138120953/60000000000000))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))) | |
| 1.7b | (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (+.f64 (*.f64 (*.f64 (-.f64 (/.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (sqrt.f64 15/2))) (*.f64 102757979785251069442117317613/235200000000000000000000000 (sqrt.f64 15/2)))) (exp.f64 15/2)) (*.f64 -1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 15/2)) (exp.f64 15/2)))) z) (sqrt.f64 (PI.f64))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 15/2)) (exp.f64 15/2)) (sqrt.f64 (PI.f64)))))) | |
| 2.7b | (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 15/2)) (exp.f64 15/2)) (sqrt.f64 (PI.f64))))) | |
| 1.0b | (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (fma.f64 z (fma.f64 (/.f64 (-.f64 -1/15 (log.f64 15/2)) (exp.f64 15/2)) (sqrt.f64 15/2) (/.f64 (sqrt.f64 15/2) (exp.f64 15/2))) (fma.f64 (*.f64 z z) (+.f64 (fma.f64 (/.f64 (fma.f64 1/2 (pow.f64 (-.f64 -1/15 (log.f64 15/2)) 2) 29/225) (exp.f64 15/2)) (sqrt.f64 15/2) (*.f64 (/.f64 (sqrt.f64 15/2) (exp.f64 15/2)) -1/2)) (fma.f64 (/.f64 (-.f64 -1/15 (log.f64 15/2)) (exp.f64 15/2)) (sqrt.f64 15/2) (/.f64 (sqrt.f64 15/2) (exp.f64 15/2)))) (/.f64 (sqrt.f64 15/2) (exp.f64 15/2))))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))) | |
| 0.5b | (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (cbrt.f64 (*.f64 (*.f64 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z))) (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z)))) (/.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)) (*.f64 (*.f64 (cbrt.f64 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z)))) (cbrt.f64 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z))))) (cbrt.f64 (/.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))))))))) | |
| ▶ | 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)) (exp.f64 (log.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))))))))) |
| 1.5b | (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (PI.f64)) (+.f64 (/.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 2)) (/.f64 (exp.f64 15/2) (sqrt.f64 15/2))) (*.f64 z (+.f64 (*.f64 (+.f64 (fma.f64 (/.f64 (sqrt.f64 2) (exp.f64 15/2)) (*.f64 (sqrt.f64 15/2) (+.f64 (*.f64 (fma.f64 1/2 (pow.f64 (-.f64 -1/15 (log.f64 15/2)) 2) 29/225) 1106209385320415913103082059/4200000000000000000000000) (fma.f64 (-.f64 -1/15 (log.f64 15/2)) 102757979785251069442117317613/235200000000000000000000000 64608921419941589693928044520019/118540800000000000000000000000))) (*.f64 (*.f64 (/.f64 (sqrt.f64 2) (exp.f64 15/2)) (sqrt.f64 15/2)) -1106209385320415913103082059/8400000000000000000000000)) (fma.f64 (/.f64 (sqrt.f64 2) (exp.f64 15/2)) (*.f64 (sqrt.f64 15/2) (fma.f64 (-.f64 -1/15 (log.f64 15/2)) 1106209385320415913103082059/4200000000000000000000000 102757979785251069442117317613/235200000000000000000000000)) (/.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 2)) (/.f64 (exp.f64 15/2) (sqrt.f64 15/2))))) z) (fma.f64 (/.f64 (sqrt.f64 2) (exp.f64 15/2)) (*.f64 (sqrt.f64 15/2) (fma.f64 (-.f64 -1/15 (log.f64 15/2)) 1106209385320415913103082059/4200000000000000000000000 102757979785251069442117317613/235200000000000000000000000)) (/.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 2)) (/.f64 (exp.f64 15/2) (sqrt.f64 15/2))))))))) |
Compiled 9075 to 7308 computations (19.5% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 1.0b | (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z))) | |
| 1.0b | (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) | |
| 1.0b | (sqrt.f64 (*.f64 (PI.f64) 2)) | |
| ✓ | 2.3b | (exp.f64 (log.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | z | @ | 0 | (exp.f64 (log.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))))) |
| 0.0ms | z | @ | -inf | (exp.f64 (log.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))))) |
| 0.0ms | z | @ | inf | (exp.f64 (log.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))))) |
| 1× | batch-egg-rewrite |
| 258× | expm1-udef_binary64 |
| 258× | log1p-udef_binary64 |
| 200× | fma-neg_binary64 |
| 146× | add-sqr-sqrt_binary64 |
| 143× | add-log-exp_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 16 |
| 1 | 297 | 16 |
| 2 | 4112 | 16 |
| 1× | node limit |
| Inputs |
|---|
(exp.f64 (log.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))))) |
| Outputs |
|---|
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7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 7713234287776531/10000000000000 (/.f64 1 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -883075145810703/5000000000000 (/.f64 1 (-.f64 4 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) 2) (cbrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) 2) (cbrt.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (sqrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (sqrt.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))))))))) |
| 1× | egg-herbie |
| 734× | fma-neg_binary64 |
| 576× | times-frac_binary64 |
| 449× | fma-def_binary64 |
| 376× | cancel-sign-sub-inv_binary64 |
| 196× | sub-neg_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 43 | 195 |
| 1 | 115 | 181 |
| 2 | 305 | 177 |
| 3 | 970 | 171 |
| 4 | 2858 | 171 |
| 1× | node limit |
| Inputs |
|---|
12777243138120953/60000000000000 |
(+.f64 12777243138120953/60000000000000 (*.f64 53758197989915921/720000000000000 z)) |
(+.f64 12777243138120953/60000000000000 (+.f64 (*.f64 222980468271960011/8640000000000000 (pow.f64 z 2)) (*.f64 53758197989915921/720000000000000 z))) |
(+.f64 12777243138120953/60000000000000 (+.f64 (*.f64 36630596080989161/4147200000000000 (pow.f64 z 3)) (+.f64 (*.f64 222980468271960011/8640000000000000 (pow.f64 z 2)) (*.f64 53758197989915921/720000000000000 z)))) |
(/.f64 -47576671969241/80000000000 z) |
(neg.f64 (+.f64 (*.f64 16075101696843969/10000000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 47576671969241/80000000000 (/.f64 1 z)))) |
(neg.f64 (+.f64 (*.f64 16075101696843969/10000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (*.f64 47576671969241/80000000000 (/.f64 1 z)) (*.f64 41160703924046283/10000000000000 (/.f64 1 (pow.f64 z 3)))))) |
(neg.f64 (+.f64 (*.f64 16075101696843969/10000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (*.f64 95223707106196353/10000000000000 (/.f64 1 (pow.f64 z 4))) (+.f64 (*.f64 47576671969241/80000000000 (/.f64 1 z)) (*.f64 41160703924046283/10000000000000 (/.f64 1 (pow.f64 z 3))))))) |
(/.f64 -47576671969241/80000000000 z) |
(neg.f64 (+.f64 (*.f64 16075101696843969/10000000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 47576671969241/80000000000 (/.f64 1 z)))) |
(neg.f64 (+.f64 (*.f64 16075101696843969/10000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (*.f64 47576671969241/80000000000 (/.f64 1 z)) (*.f64 41160703924046283/10000000000000 (/.f64 1 (pow.f64 z 3)))))) |
(neg.f64 (+.f64 (*.f64 16075101696843969/10000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (*.f64 95223707106196353/10000000000000 (/.f64 1 (pow.f64 z 4))) (+.f64 (*.f64 47576671969241/80000000000 (/.f64 1 z)) (*.f64 41160703924046283/10000000000000 (/.f64 1 (pow.f64 z 3))))))) |
| Outputs |
|---|
12777243138120953/60000000000000 |
(+.f64 12777243138120953/60000000000000 (*.f64 53758197989915921/720000000000000 z)) |
(fma.f64 53758197989915921/720000000000000 z 12777243138120953/60000000000000) |
(+.f64 12777243138120953/60000000000000 (+.f64 (*.f64 222980468271960011/8640000000000000 (pow.f64 z 2)) (*.f64 53758197989915921/720000000000000 z))) |
(+.f64 12777243138120953/60000000000000 (fma.f64 222980468271960011/8640000000000000 (*.f64 z z) (*.f64 53758197989915921/720000000000000 z))) |
(+.f64 (*.f64 z (*.f64 z 222980468271960011/8640000000000000)) (fma.f64 53758197989915921/720000000000000 z 12777243138120953/60000000000000)) |
(fma.f64 53758197989915921/720000000000000 z (fma.f64 z (*.f64 z 222980468271960011/8640000000000000) 12777243138120953/60000000000000)) |
(fma.f64 z (fma.f64 z 222980468271960011/8640000000000000 53758197989915921/720000000000000) 12777243138120953/60000000000000) |
(+.f64 12777243138120953/60000000000000 (+.f64 (*.f64 36630596080989161/4147200000000000 (pow.f64 z 3)) (+.f64 (*.f64 222980468271960011/8640000000000000 (pow.f64 z 2)) (*.f64 53758197989915921/720000000000000 z)))) |
(+.f64 12777243138120953/60000000000000 (fma.f64 36630596080989161/4147200000000000 (pow.f64 z 3) (fma.f64 222980468271960011/8640000000000000 (*.f64 z z) (*.f64 53758197989915921/720000000000000 z)))) |
(+.f64 12777243138120953/60000000000000 (fma.f64 36630596080989161/4147200000000000 (pow.f64 z 3) (fma.f64 53758197989915921/720000000000000 z (*.f64 z (*.f64 z 222980468271960011/8640000000000000))))) |
(fma.f64 36630596080989161/4147200000000000 (pow.f64 z 3) (fma.f64 53758197989915921/720000000000000 z (fma.f64 z (*.f64 z 222980468271960011/8640000000000000) 12777243138120953/60000000000000))) |
(fma.f64 53758197989915921/720000000000000 z (fma.f64 z (*.f64 z (fma.f64 z 36630596080989161/4147200000000000 222980468271960011/8640000000000000)) 12777243138120953/60000000000000)) |
(/.f64 -47576671969241/80000000000 z) |
(neg.f64 (+.f64 (*.f64 16075101696843969/10000000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 47576671969241/80000000000 (/.f64 1 z)))) |
(neg.f64 (+.f64 (/.f64 16075101696843969/10000000000000 (*.f64 z z)) (/.f64 47576671969241/80000000000 z))) |
(-.f64 (/.f64 -47576671969241/80000000000 z) (/.f64 (/.f64 16075101696843969/10000000000000 z) z)) |
(+.f64 (/.f64 -16075101696843969/10000000000000 (*.f64 z z)) (/.f64 -47576671969241/80000000000 z)) |
(neg.f64 (+.f64 (*.f64 16075101696843969/10000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (*.f64 47576671969241/80000000000 (/.f64 1 z)) (*.f64 41160703924046283/10000000000000 (/.f64 1 (pow.f64 z 3)))))) |
(neg.f64 (+.f64 (/.f64 16075101696843969/10000000000000 (*.f64 z z)) (+.f64 (/.f64 47576671969241/80000000000 z) (/.f64 41160703924046283/10000000000000 (pow.f64 z 3))))) |
(-.f64 (/.f64 -16075101696843969/10000000000000 (*.f64 z z)) (+.f64 (/.f64 47576671969241/80000000000 z) (/.f64 41160703924046283/10000000000000 (pow.f64 z 3)))) |
(-.f64 (/.f64 -41160703924046283/10000000000000 (pow.f64 z 3)) (+.f64 (/.f64 16075101696843969/10000000000000 (*.f64 z z)) (/.f64 47576671969241/80000000000 z))) |
(+.f64 (/.f64 -16075101696843969/10000000000000 (*.f64 z z)) (+.f64 (/.f64 -47576671969241/80000000000 z) (/.f64 -41160703924046283/10000000000000 (pow.f64 z 3)))) |
(+.f64 (/.f64 -47576671969241/80000000000 z) (+.f64 (/.f64 -16075101696843969/10000000000000 (*.f64 z z)) (/.f64 -41160703924046283/10000000000000 (pow.f64 z 3)))) |
(neg.f64 (+.f64 (*.f64 16075101696843969/10000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (*.f64 95223707106196353/10000000000000 (/.f64 1 (pow.f64 z 4))) (+.f64 (*.f64 47576671969241/80000000000 (/.f64 1 z)) (*.f64 41160703924046283/10000000000000 (/.f64 1 (pow.f64 z 3))))))) |
(neg.f64 (+.f64 (/.f64 16075101696843969/10000000000000 (*.f64 z z)) (+.f64 (+.f64 (/.f64 47576671969241/80000000000 z) (/.f64 41160703924046283/10000000000000 (pow.f64 z 3))) (/.f64 95223707106196353/10000000000000 (pow.f64 z 4))))) |
(-.f64 (/.f64 -16075101696843969/10000000000000 (*.f64 z z)) (+.f64 (/.f64 41160703924046283/10000000000000 (pow.f64 z 3)) (+.f64 (/.f64 47576671969241/80000000000 z) (/.f64 95223707106196353/10000000000000 (pow.f64 z 4))))) |
(+.f64 (/.f64 -16075101696843969/10000000000000 (*.f64 z z)) (+.f64 (+.f64 (/.f64 -47576671969241/80000000000 z) (/.f64 -41160703924046283/10000000000000 (pow.f64 z 3))) (/.f64 -95223707106196353/10000000000000 (pow.f64 z 4)))) |
(+.f64 (+.f64 (/.f64 -16075101696843969/10000000000000 (*.f64 z z)) (+.f64 (/.f64 -47576671969241/80000000000 z) (/.f64 -41160703924046283/10000000000000 (pow.f64 z 3)))) (/.f64 -95223707106196353/10000000000000 (pow.f64 z 4))) |
(+.f64 (/.f64 -16075101696843969/10000000000000 (*.f64 z z)) (-.f64 (/.f64 -95223707106196353/10000000000000 (pow.f64 z 4)) (+.f64 (/.f64 47576671969241/80000000000 z) (/.f64 41160703924046283/10000000000000 (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 z z)) (/.f64 47576671969241/80000000000 z))) |
(-.f64 (/.f64 -47576671969241/80000000000 z) (/.f64 (/.f64 16075101696843969/10000000000000 z) z)) |
(+.f64 (/.f64 -16075101696843969/10000000000000 (*.f64 z z)) (/.f64 -47576671969241/80000000000 z)) |
(neg.f64 (+.f64 (*.f64 16075101696843969/10000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (*.f64 47576671969241/80000000000 (/.f64 1 z)) (*.f64 41160703924046283/10000000000000 (/.f64 1 (pow.f64 z 3)))))) |
(neg.f64 (+.f64 (/.f64 16075101696843969/10000000000000 (*.f64 z z)) (+.f64 (/.f64 47576671969241/80000000000 z) (/.f64 41160703924046283/10000000000000 (pow.f64 z 3))))) |
(-.f64 (/.f64 -16075101696843969/10000000000000 (*.f64 z z)) (+.f64 (/.f64 47576671969241/80000000000 z) (/.f64 41160703924046283/10000000000000 (pow.f64 z 3)))) |
(-.f64 (/.f64 -41160703924046283/10000000000000 (pow.f64 z 3)) (+.f64 (/.f64 16075101696843969/10000000000000 (*.f64 z z)) (/.f64 47576671969241/80000000000 z))) |
(+.f64 (/.f64 -16075101696843969/10000000000000 (*.f64 z z)) (+.f64 (/.f64 -47576671969241/80000000000 z) (/.f64 -41160703924046283/10000000000000 (pow.f64 z 3)))) |
(+.f64 (/.f64 -47576671969241/80000000000 z) (+.f64 (/.f64 -16075101696843969/10000000000000 (*.f64 z z)) (/.f64 -41160703924046283/10000000000000 (pow.f64 z 3)))) |
(neg.f64 (+.f64 (*.f64 16075101696843969/10000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (*.f64 95223707106196353/10000000000000 (/.f64 1 (pow.f64 z 4))) (+.f64 (*.f64 47576671969241/80000000000 (/.f64 1 z)) (*.f64 41160703924046283/10000000000000 (/.f64 1 (pow.f64 z 3))))))) |
(neg.f64 (+.f64 (/.f64 16075101696843969/10000000000000 (*.f64 z z)) (+.f64 (+.f64 (/.f64 47576671969241/80000000000 z) (/.f64 41160703924046283/10000000000000 (pow.f64 z 3))) (/.f64 95223707106196353/10000000000000 (pow.f64 z 4))))) |
(-.f64 (/.f64 -16075101696843969/10000000000000 (*.f64 z z)) (+.f64 (/.f64 41160703924046283/10000000000000 (pow.f64 z 3)) (+.f64 (/.f64 47576671969241/80000000000 z) (/.f64 95223707106196353/10000000000000 (pow.f64 z 4))))) |
(+.f64 (/.f64 -16075101696843969/10000000000000 (*.f64 z z)) (+.f64 (+.f64 (/.f64 -47576671969241/80000000000 z) (/.f64 -41160703924046283/10000000000000 (pow.f64 z 3))) (/.f64 -95223707106196353/10000000000000 (pow.f64 z 4)))) |
(+.f64 (+.f64 (/.f64 -16075101696843969/10000000000000 (*.f64 z z)) (+.f64 (/.f64 -47576671969241/80000000000 z) (/.f64 -41160703924046283/10000000000000 (pow.f64 z 3)))) (/.f64 -95223707106196353/10000000000000 (pow.f64 z 4))) |
(+.f64 (/.f64 -16075101696843969/10000000000000 (*.f64 z z)) (-.f64 (/.f64 -95223707106196353/10000000000000 (pow.f64 z 4)) (+.f64 (/.f64 47576671969241/80000000000 z) (/.f64 41160703924046283/10000000000000 (pow.f64 z 3))))) |
9 alts after pruning (9 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 127 | 4 | 131 |
| Fresh | 3 | 5 | 8 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 131 | 9 | 140 |
| Status | Error | Program |
|---|---|---|
| 1.7b | (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (+.f64 (*.f64 (*.f64 (-.f64 (/.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (sqrt.f64 15/2))) (*.f64 102757979785251069442117317613/235200000000000000000000000 (sqrt.f64 15/2)))) (exp.f64 15/2)) (*.f64 -1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 15/2)) (exp.f64 15/2)))) z) (sqrt.f64 (PI.f64))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 15/2)) (exp.f64 15/2)) (sqrt.f64 (PI.f64)))))) | |
| 2.7b | (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 15/2)) (exp.f64 15/2)) (sqrt.f64 (PI.f64))))) | |
| 1.0b | (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (fma.f64 z (fma.f64 (/.f64 (-.f64 -1/15 (log.f64 15/2)) (exp.f64 15/2)) (sqrt.f64 15/2) (/.f64 (sqrt.f64 15/2) (exp.f64 15/2))) (fma.f64 (*.f64 z z) (+.f64 (fma.f64 (/.f64 (fma.f64 1/2 (pow.f64 (-.f64 -1/15 (log.f64 15/2)) 2) 29/225) (exp.f64 15/2)) (sqrt.f64 15/2) (*.f64 (/.f64 (sqrt.f64 15/2) (exp.f64 15/2)) -1/2)) (fma.f64 (/.f64 (-.f64 -1/15 (log.f64 15/2)) (exp.f64 15/2)) (sqrt.f64 15/2) (/.f64 (sqrt.f64 15/2) (exp.f64 15/2)))) (/.f64 (sqrt.f64 15/2) (exp.f64 15/2))))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))) | |
| 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)) (exp.f64 (log.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)) (/.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 (fma.f64 z 222980468271960011/8640000000000000 53758197989915921/720000000000000) 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))))))))) | |
| 2.0b | (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (cbrt.f64 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z)))) (cbrt.f64 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z))))) (cbrt.f64 (/.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))))))))) | |
| ▶ | 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)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))) 3)) (+.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 (log.f64 (/.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)) (exp.f64 (log.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))))))))) | |
| 1.5b | (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (PI.f64)) (+.f64 (/.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 2)) (/.f64 (exp.f64 15/2) (sqrt.f64 15/2))) (*.f64 z (+.f64 (*.f64 (+.f64 (fma.f64 (/.f64 (sqrt.f64 2) (exp.f64 15/2)) (*.f64 (sqrt.f64 15/2) (+.f64 (*.f64 (fma.f64 1/2 (pow.f64 (-.f64 -1/15 (log.f64 15/2)) 2) 29/225) 1106209385320415913103082059/4200000000000000000000000) (fma.f64 (-.f64 -1/15 (log.f64 15/2)) 102757979785251069442117317613/235200000000000000000000000 64608921419941589693928044520019/118540800000000000000000000000))) (*.f64 (*.f64 (/.f64 (sqrt.f64 2) (exp.f64 15/2)) (sqrt.f64 15/2)) -1106209385320415913103082059/8400000000000000000000000)) (fma.f64 (/.f64 (sqrt.f64 2) (exp.f64 15/2)) (*.f64 (sqrt.f64 15/2) (fma.f64 (-.f64 -1/15 (log.f64 15/2)) 1106209385320415913103082059/4200000000000000000000000 102757979785251069442117317613/235200000000000000000000000)) (/.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 2)) (/.f64 (exp.f64 15/2) (sqrt.f64 15/2))))) z) (fma.f64 (/.f64 (sqrt.f64 2) (exp.f64 15/2)) (*.f64 (sqrt.f64 15/2) (fma.f64 (-.f64 -1/15 (log.f64 15/2)) 1106209385320415913103082059/4200000000000000000000000 102757979785251069442117317613/235200000000000000000000000)) (/.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 2)) (/.f64 (exp.f64 15/2) (sqrt.f64 15/2))))))))) |
Compiled 12714 to 10007 computations (21.3% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 1.0b | (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z))) | |
| 1.0b | (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) | |
| ✓ | 1.0b | (pow.f64 (cbrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))) 3) |
| 1.0b | (sqrt.f64 (*.f64 (PI.f64) 2)) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | z | @ | 0 | (pow.f64 (cbrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))) 3) |
| 2.0ms | z | @ | inf | (pow.f64 (cbrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))) 3) |
| 1.0ms | z | @ | -inf | (pow.f64 (cbrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))) 3) |
| 1× | batch-egg-rewrite |
| 258× | expm1-udef_binary64 |
| 258× | log1p-udef_binary64 |
| 149× | add-sqr-sqrt_binary64 |
| 145× | add-log-exp_binary64 |
| 145× | log1p-expm1-u_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 16 |
| 1 | 319 | 16 |
| 2 | 4233 | 16 |
| 1× | node limit |
| Inputs |
|---|
(pow.f64 (cbrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))) 3) |
| Outputs |
|---|
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| 1× | egg-herbie |
| 431× | fma-def_binary64 |
| 319× | associate-*r*_binary64 |
| 316× | associate-*l*_binary64 |
| 253× | associate-+l+_binary64 |
| 235× | associate-+r+_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 87 | 509 |
| 1 | 254 | 422 |
| 2 | 837 | 381 |
| 3 | 4625 | 381 |
| 1× | node limit |
| Inputs |
|---|
12777243138120953/60000000000000 |
(+.f64 12777243138120953/60000000000000 (*.f64 z (+.f64 (*.f64 53758197989915921/1080000000000000 (pow.f64 (pow.f64 (cbrt.f64 12777243138120953/60000000000000) 4) 1/3)) (*.f64 53758197989915921/2160000000000000 (pow.f64 (pow.f64 (cbrt.f64 12777243138120953/60000000000000) 4) 1/3))))) |
(+.f64 12777243138120953/60000000000000 (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 2889943851123000169042404649278241/4665600000000000000000000000000 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 12777243138120953/60000000000000) 4)) 1/3)) (*.f64 2/3 (/.f64 (-.f64 222980468271960011/8640000000000000 (*.f64 2889943851123000169042404649278241/1555200000000000000000000000000 (pow.f64 (/.f64 1 (cbrt.f64 12777243138120953/60000000000000)) 1/3))) (cbrt.f64 12777243138120953/60000000000000)))) (cbrt.f64 12777243138120953/60000000000000)) (+.f64 (*.f64 1/3 (-.f64 222980468271960011/8640000000000000 (*.f64 2889943851123000169042404649278241/1555200000000000000000000000000 (pow.f64 (/.f64 1 (cbrt.f64 12777243138120953/60000000000000)) 1/3)))) (*.f64 2889943851123000169042404649278241/2332800000000000000000000000000 (pow.f64 (/.f64 1 (cbrt.f64 12777243138120953/60000000000000)) 1/3)))) (pow.f64 z 2)) (*.f64 z (+.f64 (*.f64 53758197989915921/1080000000000000 (pow.f64 (pow.f64 (cbrt.f64 12777243138120953/60000000000000) 4) 1/3)) (*.f64 53758197989915921/2160000000000000 (pow.f64 (pow.f64 (cbrt.f64 12777243138120953/60000000000000) 4) 1/3)))))) |
(+.f64 12777243138120953/60000000000000 (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 2889943851123000169042404649278241/4665600000000000000000000000000 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 12777243138120953/60000000000000) 4)) 1/3)) (*.f64 2/3 (/.f64 (-.f64 222980468271960011/8640000000000000 (*.f64 2889943851123000169042404649278241/1555200000000000000000000000000 (pow.f64 (/.f64 1 (cbrt.f64 12777243138120953/60000000000000)) 1/3))) (cbrt.f64 12777243138120953/60000000000000)))) (cbrt.f64 12777243138120953/60000000000000)) (+.f64 (*.f64 1/3 (-.f64 222980468271960011/8640000000000000 (*.f64 2889943851123000169042404649278241/1555200000000000000000000000000 (pow.f64 (/.f64 1 (cbrt.f64 12777243138120953/60000000000000)) 1/3)))) (*.f64 2889943851123000169042404649278241/2332800000000000000000000000000 (pow.f64 (/.f64 1 (cbrt.f64 12777243138120953/60000000000000)) 1/3)))) (pow.f64 z 2)) (+.f64 (*.f64 z (+.f64 (*.f64 53758197989915921/1080000000000000 (pow.f64 (pow.f64 (cbrt.f64 12777243138120953/60000000000000) 4) 1/3)) (*.f64 53758197989915921/2160000000000000 (pow.f64 (pow.f64 (cbrt.f64 12777243138120953/60000000000000) 4) 1/3)))) (*.f64 (pow.f64 z 3) (+.f64 (*.f64 (+.f64 (*.f64 2/3 (/.f64 (-.f64 36630596080989161/4147200000000000 (+.f64 (*.f64 53758197989915921/1620000000000000 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 12777243138120953/60000000000000) 5)) 1/3) (-.f64 222980468271960011/8640000000000000 (*.f64 2889943851123000169042404649278241/1555200000000000000000000000000 (pow.f64 (/.f64 1 (cbrt.f64 12777243138120953/60000000000000)) 1/3))))) (+.f64 (*.f64 53758197989915921/3240000000000000 (*.f64 (-.f64 222980468271960011/8640000000000000 (*.f64 2889943851123000169042404649278241/1555200000000000000000000000000 (pow.f64 (/.f64 1 (cbrt.f64 12777243138120953/60000000000000)) 1/3))) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 12777243138120953/60000000000000) 5)) 1/3))) (*.f64 155358173728410343341126487110383273936428924774961/10077696000000000000000000000000000000000000000 (/.f64 1 (pow.f64 (cbrt.f64 12777243138120953/60000000000000) 2)))))) (cbrt.f64 12777243138120953/60000000000000))) (+.f64 (*.f64 53758197989915921/6480000000000000 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 12777243138120953/60000000000000) 8)) 1/3) (-.f64 222980468271960011/8640000000000000 (*.f64 2889943851123000169042404649278241/1555200000000000000000000000000 (pow.f64 (/.f64 1 (cbrt.f64 12777243138120953/60000000000000)) 1/3))))) (*.f64 53758197989915921/6480000000000000 (*.f64 (-.f64 222980468271960011/8640000000000000 (*.f64 2889943851123000169042404649278241/1555200000000000000000000000000 (pow.f64 (/.f64 1 (cbrt.f64 12777243138120953/60000000000000)) 1/3))) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 12777243138120953/60000000000000) 8)) 1/3))))) (cbrt.f64 12777243138120953/60000000000000)) (+.f64 (*.f64 1/3 (-.f64 36630596080989161/4147200000000000 (+.f64 (*.f64 53758197989915921/1620000000000000 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 12777243138120953/60000000000000) 5)) 1/3) (-.f64 222980468271960011/8640000000000000 (*.f64 2889943851123000169042404649278241/1555200000000000000000000000000 (pow.f64 (/.f64 1 (cbrt.f64 12777243138120953/60000000000000)) 1/3))))) (+.f64 (*.f64 53758197989915921/3240000000000000 (*.f64 (-.f64 222980468271960011/8640000000000000 (*.f64 2889943851123000169042404649278241/1555200000000000000000000000000 (pow.f64 (/.f64 1 (cbrt.f64 12777243138120953/60000000000000)) 1/3))) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 12777243138120953/60000000000000) 5)) 1/3))) (*.f64 155358173728410343341126487110383273936428924774961/10077696000000000000000000000000000000000000000 (/.f64 1 (pow.f64 (cbrt.f64 12777243138120953/60000000000000) 2))))))) (+.f64 (*.f64 53758197989915921/3240000000000000 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 12777243138120953/60000000000000) 5)) 1/3) (-.f64 222980468271960011/8640000000000000 (*.f64 2889943851123000169042404649278241/1555200000000000000000000000000 (pow.f64 (/.f64 1 (cbrt.f64 12777243138120953/60000000000000)) 1/3))))) (*.f64 53758197989915921/2160000000000000 (*.f64 (+.f64 (*.f64 2889943851123000169042404649278241/4665600000000000000000000000000 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 12777243138120953/60000000000000) 4)) 1/3)) (*.f64 2/3 (/.f64 (-.f64 222980468271960011/8640000000000000 (*.f64 2889943851123000169042404649278241/1555200000000000000000000000000 (pow.f64 (/.f64 1 (cbrt.f64 12777243138120953/60000000000000)) 1/3))) (cbrt.f64 12777243138120953/60000000000000)))) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 12777243138120953/60000000000000) 2)) 1/3)))))))))) |
| Outputs |
|---|
12777243138120953/60000000000000 |
(+.f64 12777243138120953/60000000000000 (*.f64 z (+.f64 (*.f64 53758197989915921/1080000000000000 (pow.f64 (pow.f64 (cbrt.f64 12777243138120953/60000000000000) 4) 1/3)) (*.f64 53758197989915921/2160000000000000 (pow.f64 (pow.f64 (cbrt.f64 12777243138120953/60000000000000) 4) 1/3))))) |
(+.f64 12777243138120953/60000000000000 (*.f64 z (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 12777243138120953/60000000000000) 4)) 53758197989915921/720000000000000))) |
(fma.f64 z (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 12777243138120953/60000000000000) 4)) 53758197989915921/720000000000000) 12777243138120953/60000000000000) |
(fma.f64 z (*.f64 (cbrt.f64 (*.f64 12777243138120953/60000000000000 (cbrt.f64 12777243138120953/60000000000000))) 53758197989915921/720000000000000) 12777243138120953/60000000000000) |
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8 alts after pruning (7 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 125 | 1 | 126 |
| Fresh | 2 | 6 | 8 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 127 | 8 | 135 |
| Status | Error | Program |
|---|---|---|
| 1.5b | (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (PI.f64)) (+.f64 (/.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 2)) (/.f64 (exp.f64 15/2) (sqrt.f64 15/2))) (*.f64 z (+.f64 (*.f64 (+.f64 (fma.f64 (/.f64 (sqrt.f64 2) (exp.f64 15/2)) (*.f64 (sqrt.f64 15/2) (+.f64 (*.f64 (fma.f64 1/2 (pow.f64 (-.f64 -1/15 (log.f64 15/2)) 2) 29/225) 1106209385320415913103082059/4200000000000000000000000) (fma.f64 (-.f64 -1/15 (log.f64 15/2)) 102757979785251069442117317613/235200000000000000000000000 64608921419941589693928044520019/118540800000000000000000000000))) (*.f64 (*.f64 (/.f64 (sqrt.f64 2) (exp.f64 15/2)) (sqrt.f64 15/2)) -1106209385320415913103082059/8400000000000000000000000)) (fma.f64 (/.f64 (sqrt.f64 2) (exp.f64 15/2)) (*.f64 (sqrt.f64 15/2) (fma.f64 (-.f64 -1/15 (log.f64 15/2)) 1106209385320415913103082059/4200000000000000000000000 102757979785251069442117317613/235200000000000000000000000)) (/.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 2)) (/.f64 (exp.f64 15/2) (sqrt.f64 15/2))))) z) (fma.f64 (/.f64 (sqrt.f64 2) (exp.f64 15/2)) (*.f64 (sqrt.f64 15/2) (fma.f64 (-.f64 -1/15 (log.f64 15/2)) 1106209385320415913103082059/4200000000000000000000000 102757979785251069442117317613/235200000000000000000000000)) (/.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 2)) (/.f64 (exp.f64 15/2) (sqrt.f64 15/2))))))))) | |
| ▶ | 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 (pow.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 3) (/.f64 -688641173045047177036613100428008022090298927/125000000000000000000000000000000000000 (pow.f64 (-.f64 4 z) 3))) (/.f64 1 (+.f64 (/.f64 59493983178131529437839794393961/100000000000000000000000000 (pow.f64 (-.f64 3 z) 2)) (*.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (-.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))) |
| 1.7b | (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (+.f64 (*.f64 (*.f64 (-.f64 (/.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (sqrt.f64 15/2))) (*.f64 102757979785251069442117317613/235200000000000000000000000 (sqrt.f64 15/2)))) (exp.f64 15/2)) (*.f64 -1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 15/2)) (exp.f64 15/2)))) z) (sqrt.f64 (PI.f64))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 15/2)) (exp.f64 15/2)) (sqrt.f64 (PI.f64)))))) | |
| 2.7b | (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 15/2)) (exp.f64 15/2)) (sqrt.f64 (PI.f64))))) | |
| 1.0b | (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (fma.f64 z (fma.f64 (/.f64 (-.f64 -1/15 (log.f64 15/2)) (exp.f64 15/2)) (sqrt.f64 15/2) (/.f64 (sqrt.f64 15/2) (exp.f64 15/2))) (fma.f64 (*.f64 z z) (+.f64 (fma.f64 (/.f64 (fma.f64 1/2 (pow.f64 (-.f64 -1/15 (log.f64 15/2)) 2) 29/225) (exp.f64 15/2)) (sqrt.f64 15/2) (*.f64 (/.f64 (sqrt.f64 15/2) (exp.f64 15/2)) -1/2)) (fma.f64 (/.f64 (-.f64 -1/15 (log.f64 15/2)) (exp.f64 15/2)) (sqrt.f64 15/2) (/.f64 (sqrt.f64 15/2) (exp.f64 15/2)))) (/.f64 (sqrt.f64 15/2) (exp.f64 15/2))))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))) | |
| 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)) (exp.f64 (log.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))))))))) | |
| ✓ | 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)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))) 3)) (+.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 (log.f64 (/.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)) (exp.f64 (log.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))))))))) |
Compiled 12878 to 10299 computations (20% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.9b | (*.f64 (+.f64 (pow.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 3) (/.f64 -688641173045047177036613100428008022090298927/125000000000000000000000000000000000000 (pow.f64 (-.f64 4 z) 3))) (/.f64 1 (+.f64 (/.f64 59493983178131529437839794393961/100000000000000000000000000 (pow.f64 (-.f64 3 z) 2)) (*.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (-.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 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)) | |
| ✓ | 1.5b | (pow.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 3) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | z | @ | inf | (pow.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 3) |
| 1.0ms | z | @ | inf | (*.f64 (+.f64 (pow.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 3) (/.f64 -688641173045047177036613100428008022090298927/125000000000000000000000000000000000000 (pow.f64 (-.f64 4 z) 3))) (/.f64 1 (+.f64 (/.f64 59493983178131529437839794393961/100000000000000000000000000 (pow.f64 (-.f64 3 z) 2)) (*.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (-.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))))) |
| 1.0ms | z | @ | 0 | (*.f64 (+.f64 (pow.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 3) (/.f64 -688641173045047177036613100428008022090298927/125000000000000000000000000000000000000 (pow.f64 (-.f64 4 z) 3))) (/.f64 1 (+.f64 (/.f64 59493983178131529437839794393961/100000000000000000000000000 (pow.f64 (-.f64 3 z) 2)) (*.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (-.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))))) |
| 1.0ms | z | @ | -inf | (*.f64 (+.f64 (pow.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 3) (/.f64 -688641173045047177036613100428008022090298927/125000000000000000000000000000000000000 (pow.f64 (-.f64 4 z) 3))) (/.f64 1 (+.f64 (/.f64 59493983178131529437839794393961/100000000000000000000000000 (pow.f64 (-.f64 3 z) 2)) (*.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (-.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))))) |
| 1.0ms | z | @ | 0 | (pow.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 3) |
| 1× | batch-egg-rewrite |
| 288× | add-sqr-sqrt_binary64 |
| 276× | add-cbrt-cube_binary64 |
| 276× | add-log-exp_binary64 |
| 276× | log1p-expm1-u_binary64 |
| 276× | expm1-log1p-u_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 25 | 71 |
| 1 | 603 | 71 |
| 1× | node limit |
| Inputs |
|---|
(pow.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 3) |
(*.f64 (+.f64 (pow.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 3) (/.f64 -688641173045047177036613100428008022090298927/125000000000000000000000000000000000000 (pow.f64 (-.f64 4 z) 3))) (/.f64 1 (+.f64 (/.f64 59493983178131529437839794393961/100000000000000000000000000 (pow.f64 (-.f64 3 z) 2)) (*.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (-.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (*.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 458891030965964263706993392018425544321343929291/1000000000000000000000000000000000000000 (pow.f64 (-.f64 3 z) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 458891030965964263706993392018425544321343929291/1000000000000000000000000000000000000000 (pow.f64 (-.f64 3 z) 3))) (sqrt.f64 (/.f64 458891030965964263706993392018425544321343929291/1000000000000000000000000000000000000000 (pow.f64 (-.f64 3 z) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 3/2) (pow.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 458891030965964263706993392018425544321343929291/1000000000000000000000000000000000000000 (pow.f64 (-.f64 3 z) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 458891030965964263706993392018425544321343929291/1000000000000000000000000000000000000000 (pow.f64 (-.f64 3 z) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (*.f64 (/.f64 458891030965964263706993392018425544321343929291/1000000000000000000000000000000000000000 (pow.f64 (-.f64 3 z) 3)) (/.f64 458891030965964263706993392018425544321343929291/1000000000000000000000000000000000000000 (pow.f64 (-.f64 3 z) 3))) (/.f64 458891030965964263706993392018425544321343929291/1000000000000000000000000000000000000000 (pow.f64 (-.f64 3 z) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 458891030965964263706993392018425544321343929291/1000000000000000000000000000000000000000 (pow.f64 (-.f64 3 z) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 458891030965964263706993392018425544321343929291/1000000000000000000000000000000000000000 (pow.f64 (-.f64 3 z) 3)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (/.f64 458891030965964263706993392018425544321343929291/1000000000000000000000000000000000000000 (pow.f64 (-.f64 3 z) 3)) (/.f64 -688641173045047177036613100428008022090298927/125000000000000000000000000000000000000 (pow.f64 (-.f64 4 z) 3))) (+.f64 (/.f64 59493983178131529437839794393961/100000000000000000000000000 (pow.f64 (-.f64 3 z) 2)) (*.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (-.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (/.f64 458891030965964263706993392018425544321343929291/1000000000000000000000000000000000000000 (pow.f64 (-.f64 3 z) 3)) (/.f64 -688641173045047177036613100428008022090298927/125000000000000000000000000000000000000 (pow.f64 (-.f64 4 z) 3))) 1) (+.f64 (/.f64 59493983178131529437839794393961/100000000000000000000000000 (pow.f64 (-.f64 3 z) 2)) (*.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (-.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 (/.f64 458891030965964263706993392018425544321343929291/1000000000000000000000000000000000000000 (pow.f64 (-.f64 3 z) 3)) (/.f64 -688641173045047177036613100428008022090298927/125000000000000000000000000000000000000 (pow.f64 (-.f64 4 z) 3))) (+.f64 (/.f64 59493983178131529437839794393961/100000000000000000000000000 (pow.f64 (-.f64 3 z) 2)) (*.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (-.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (+.f64 (/.f64 458891030965964263706993392018425544321343929291/1000000000000000000000000000000000000000 (pow.f64 (-.f64 3 z) 3)) (/.f64 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7713234287776531/10000000000000 (-.f64 3 z))))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (+.f64 (/.f64 458891030965964263706993392018425544321343929291/1000000000000000000000000000000000000000 (pow.f64 (-.f64 3 z) 3)) (/.f64 -688641173045047177036613100428008022090298927/125000000000000000000000000000000000000 (pow.f64 (-.f64 4 z) 3))) (+.f64 (/.f64 59493983178131529437839794393961/100000000000000000000000000 (pow.f64 (-.f64 3 z) 2)) (*.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (-.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (+.f64 (/.f64 458891030965964263706993392018425544321343929291/1000000000000000000000000000000000000000 (pow.f64 (-.f64 3 z) 3)) (/.f64 -688641173045047177036613100428008022090298927/125000000000000000000000000000000000000 (pow.f64 (-.f64 4 z) 3))) (+.f64 (/.f64 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| 1× | egg-herbie |
| 512× | associate-/r*_binary64 |
| 352× | fma-neg_binary64 |
| 262× | associate-*l*_binary64 |
| 238× | fma-def_binary64 |
| 188× | associate-*l/_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 79 | 414 |
| 1 | 214 | 386 |
| 2 | 612 | 379 |
| 3 | 1958 | 378 |
| 1× | node limit |
| Inputs |
|---|
458891030965964263706993392018425544321343929291/27000000000000000000000000000000000000000 |
(+.f64 458891030965964263706993392018425544321343929291/27000000000000000000000000000000000000000 (*.f64 458891030965964263706993392018425544321343929291/27000000000000000000000000000000000000000 z)) |
(+.f64 458891030965964263706993392018425544321343929291/27000000000000000000000000000000000000000 (+.f64 (*.f64 458891030965964263706993392018425544321343929291/27000000000000000000000000000000000000000 z) (*.f64 458891030965964263706993392018425544321343929291/40500000000000000000000000000000000000000 (pow.f64 z 2)))) |
(+.f64 458891030965964263706993392018425544321343929291/27000000000000000000000000000000000000000 (+.f64 (*.f64 458891030965964263706993392018425544321343929291/27000000000000000000000000000000000000000 z) (+.f64 (*.f64 458891030965964263706993392018425544321343929291/72900000000000000000000000000000000000000 (pow.f64 z 3)) (*.f64 458891030965964263706993392018425544321343929291/40500000000000000000000000000000000000000 (pow.f64 z 2))))) |
(/.f64 -458891030965964263706993392018425544321343929291/1000000000000000000000000000000000000000 (pow.f64 z 3)) |
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(/.f64 -458891030965964263706993392018425544321343929291/1000000000000000000000000000000000000000 (pow.f64 z 3)) |
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3349477625199579103232/15728640000000000000 |
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(/.f64 -24943878193409425408/41943040000000000 z) |
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(/.f64 -24943878193409425408/41943040000000000 z) |
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(neg.f64 (+.f64 (*.f64 408982707824996135089471488/42949672960000000000000 (/.f64 1 (pow.f64 z 4))) (+.f64 (*.f64 5792854089207567269080621645824/1407374883553280000000000000 (/.f64 1 (pow.f64 z 3))) (+.f64 (*.f64 9049477751481165842984183267328/5629499534213120000000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 24943878193409425408/41943040000000000 (/.f64 1 z)))))) |
| Outputs |
|---|
458891030965964263706993392018425544321343929291/27000000000000000000000000000000000000000 |
(+.f64 458891030965964263706993392018425544321343929291/27000000000000000000000000000000000000000 (*.f64 458891030965964263706993392018425544321343929291/27000000000000000000000000000000000000000 z)) |
(fma.f64 458891030965964263706993392018425544321343929291/27000000000000000000000000000000000000000 z 458891030965964263706993392018425544321343929291/27000000000000000000000000000000000000000) |
(+.f64 458891030965964263706993392018425544321343929291/27000000000000000000000000000000000000000 (+.f64 (*.f64 458891030965964263706993392018425544321343929291/27000000000000000000000000000000000000000 z) (*.f64 458891030965964263706993392018425544321343929291/40500000000000000000000000000000000000000 (pow.f64 z 2)))) |
(+.f64 458891030965964263706993392018425544321343929291/27000000000000000000000000000000000000000 (fma.f64 458891030965964263706993392018425544321343929291/27000000000000000000000000000000000000000 z (*.f64 458891030965964263706993392018425544321343929291/40500000000000000000000000000000000000000 (*.f64 z z)))) |
(+.f64 458891030965964263706993392018425544321343929291/27000000000000000000000000000000000000000 (fma.f64 458891030965964263706993392018425544321343929291/40500000000000000000000000000000000000000 (*.f64 z z) (*.f64 458891030965964263706993392018425544321343929291/27000000000000000000000000000000000000000 z))) |
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(fma.f64 458891030965964263706993392018425544321343929291/27000000000000000000000000000000000000000 z (fma.f64 458891030965964263706993392018425544321343929291/40500000000000000000000000000000000000000 (*.f64 z z) 458891030965964263706993392018425544321343929291/27000000000000000000000000000000000000000)) |
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(+.f64 458891030965964263706993392018425544321343929291/27000000000000000000000000000000000000000 (fma.f64 458891030965964263706993392018425544321343929291/27000000000000000000000000000000000000000 z (fma.f64 458891030965964263706993392018425544321343929291/72900000000000000000000000000000000000000 (pow.f64 z 3) (*.f64 458891030965964263706993392018425544321343929291/40500000000000000000000000000000000000000 (*.f64 z z))))) |
(+.f64 458891030965964263706993392018425544321343929291/27000000000000000000000000000000000000000 (fma.f64 458891030965964263706993392018425544321343929291/27000000000000000000000000000000000000000 z (fma.f64 458891030965964263706993392018425544321343929291/72900000000000000000000000000000000000000 (pow.f64 z 3) (*.f64 z (*.f64 z 458891030965964263706993392018425544321343929291/40500000000000000000000000000000000000000))))) |
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(/.f64 -458891030965964263706993392018425544321343929291/1000000000000000000000000000000000000000 (pow.f64 z 3)) |
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(+.f64 (/.f64 -458891030965964263706993392018425544321343929291/1000000000000000000000000000000000000000 (pow.f64 z 3)) (+.f64 (/.f64 -4130019278693678373362940528165829898892095363619/1000000000000000000000000000000000000000 (pow.f64 z 4)) (+.f64 (/.f64 -12390057836081035120088821584497489696676286090857/500000000000000000000000000000000000000 (pow.f64 z 5)) (/.f64 -12390057836081035120088821584497489696676286090857/100000000000000000000000000000000000000 (pow.f64 z 6))))) |
(/.f64 -458891030965964263706993392018425544321343929291/1000000000000000000000000000000000000000 (pow.f64 z 3)) |
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3349477625199579103232/15728640000000000000 |
12777243138120953/60000000000000 |
(+.f64 3349477625199579103232/15728640000000000000 (*.f64 3523097263467129798656/47185920000000000000 z)) |
(+.f64 12777243138120953/60000000000000 (*.f64 z 53758197989915921/720000000000000)) |
(fma.f64 z 53758197989915921/720000000000000 12777243138120953/60000000000000) |
(+.f64 3349477625199579103232/15728640000000000000 (+.f64 (*.f64 3523097263467129798656/47185920000000000000 z) (*.f64 3653311992167792820224/141557760000000000000 (pow.f64 z 2)))) |
(+.f64 12777243138120953/60000000000000 (fma.f64 53758197989915921/720000000000000 z (*.f64 (*.f64 z z) 222980468271960011/8640000000000000))) |
(+.f64 12777243138120953/60000000000000 (fma.f64 z 53758197989915921/720000000000000 (*.f64 z (*.f64 z 222980468271960011/8640000000000000)))) |
(fma.f64 z 53758197989915921/720000000000000 (fma.f64 z (*.f64 z 222980468271960011/8640000000000000) 12777243138120953/60000000000000)) |
(+.f64 (*.f64 150038921547731603456/16986931200000000000 (pow.f64 z 3)) (+.f64 3349477625199579103232/15728640000000000000 (+.f64 (*.f64 3523097263467129798656/47185920000000000000 z) (*.f64 3653311992167792820224/141557760000000000000 (pow.f64 z 2))))) |
(fma.f64 36630596080989161/4147200000000000 (pow.f64 z 3) (+.f64 12777243138120953/60000000000000 (fma.f64 53758197989915921/720000000000000 z (*.f64 (*.f64 z z) 222980468271960011/8640000000000000)))) |
(fma.f64 (pow.f64 z 3) 36630596080989161/4147200000000000 (+.f64 12777243138120953/60000000000000 (fma.f64 z 53758197989915921/720000000000000 (*.f64 z (*.f64 z 222980468271960011/8640000000000000))))) |
(fma.f64 (pow.f64 z 3) 36630596080989161/4147200000000000 (fma.f64 z 53758197989915921/720000000000000 (fma.f64 z (*.f64 z 222980468271960011/8640000000000000) 12777243138120953/60000000000000))) |
(/.f64 -24943878193409425408/41943040000000000 z) |
(/.f64 -47576671969241/80000000000 z) |
(neg.f64 (+.f64 (*.f64 9049477751481165842984183267328/5629499534213120000000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 24943878193409425408/41943040000000000 (/.f64 1 z)))) |
(neg.f64 (+.f64 (/.f64 16075101696843969/10000000000000 (*.f64 z z)) (/.f64 47576671969241/80000000000 z))) |
(+.f64 (/.f64 -16075101696843969/10000000000000 (*.f64 z z)) (/.f64 -47576671969241/80000000000 z)) |
(-.f64 (/.f64 -47576671969241/80000000000 z) (/.f64 16075101696843969/10000000000000 (*.f64 z z))) |
(neg.f64 (+.f64 (*.f64 9049477751481165842984183267328/5629499534213120000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (*.f64 5792854089207567269080621645824/1407374883553280000000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 24943878193409425408/41943040000000000 (/.f64 1 z))))) |
(neg.f64 (+.f64 (/.f64 16075101696843969/10000000000000 (*.f64 z z)) (+.f64 (/.f64 47576671969241/80000000000 z) (/.f64 41160703924046283/10000000000000 (pow.f64 z 3))))) |
(-.f64 (/.f64 -16075101696843969/10000000000000 (*.f64 z z)) (+.f64 (/.f64 47576671969241/80000000000 z) (/.f64 41160703924046283/10000000000000 (pow.f64 z 3)))) |
(+.f64 (/.f64 -16075101696843969/10000000000000 (*.f64 z z)) (+.f64 (/.f64 -47576671969241/80000000000 z) (/.f64 -41160703924046283/10000000000000 (pow.f64 z 3)))) |
(neg.f64 (+.f64 (*.f64 408982707824996135089471488/42949672960000000000000 (/.f64 1 (pow.f64 z 4))) (+.f64 (*.f64 5792854089207567269080621645824/1407374883553280000000000000 (/.f64 1 (pow.f64 z 3))) (+.f64 (*.f64 9049477751481165842984183267328/5629499534213120000000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 24943878193409425408/41943040000000000 (/.f64 1 z)))))) |
(neg.f64 (+.f64 (/.f64 95223707106196353/10000000000000 (pow.f64 z 4)) (+.f64 (+.f64 (/.f64 16075101696843969/10000000000000 (*.f64 z z)) (/.f64 47576671969241/80000000000 z)) (/.f64 41160703924046283/10000000000000 (pow.f64 z 3))))) |
(-.f64 (/.f64 -95223707106196353/10000000000000 (pow.f64 z 4)) (+.f64 (/.f64 47576671969241/80000000000 z) (+.f64 (/.f64 16075101696843969/10000000000000 (*.f64 z z)) (/.f64 41160703924046283/10000000000000 (pow.f64 z 3))))) |
(+.f64 (/.f64 -16075101696843969/10000000000000 (*.f64 z z)) (-.f64 (+.f64 (/.f64 -47576671969241/80000000000 z) (/.f64 -41160703924046283/10000000000000 (pow.f64 z 3))) (/.f64 95223707106196353/10000000000000 (pow.f64 z 4)))) |
(+.f64 (/.f64 -95223707106196353/10000000000000 (pow.f64 z 4)) (+.f64 (/.f64 -16075101696843969/10000000000000 (*.f64 z z)) (+.f64 (/.f64 -47576671969241/80000000000 z) (/.f64 -41160703924046283/10000000000000 (pow.f64 z 3))))) |
(/.f64 -24943878193409425408/41943040000000000 z) |
(/.f64 -47576671969241/80000000000 z) |
(neg.f64 (+.f64 (*.f64 9049477751481165842984183267328/5629499534213120000000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 24943878193409425408/41943040000000000 (/.f64 1 z)))) |
(neg.f64 (+.f64 (/.f64 16075101696843969/10000000000000 (*.f64 z z)) (/.f64 47576671969241/80000000000 z))) |
(+.f64 (/.f64 -16075101696843969/10000000000000 (*.f64 z z)) (/.f64 -47576671969241/80000000000 z)) |
(-.f64 (/.f64 -47576671969241/80000000000 z) (/.f64 16075101696843969/10000000000000 (*.f64 z z))) |
(neg.f64 (+.f64 (*.f64 9049477751481165842984183267328/5629499534213120000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (*.f64 5792854089207567269080621645824/1407374883553280000000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 24943878193409425408/41943040000000000 (/.f64 1 z))))) |
(neg.f64 (+.f64 (/.f64 16075101696843969/10000000000000 (*.f64 z z)) (+.f64 (/.f64 47576671969241/80000000000 z) (/.f64 41160703924046283/10000000000000 (pow.f64 z 3))))) |
(-.f64 (/.f64 -16075101696843969/10000000000000 (*.f64 z z)) (+.f64 (/.f64 47576671969241/80000000000 z) (/.f64 41160703924046283/10000000000000 (pow.f64 z 3)))) |
(+.f64 (/.f64 -16075101696843969/10000000000000 (*.f64 z z)) (+.f64 (/.f64 -47576671969241/80000000000 z) (/.f64 -41160703924046283/10000000000000 (pow.f64 z 3)))) |
(neg.f64 (+.f64 (*.f64 408982707824996135089471488/42949672960000000000000 (/.f64 1 (pow.f64 z 4))) (+.f64 (*.f64 5792854089207567269080621645824/1407374883553280000000000000 (/.f64 1 (pow.f64 z 3))) (+.f64 (*.f64 9049477751481165842984183267328/5629499534213120000000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 24943878193409425408/41943040000000000 (/.f64 1 z)))))) |
(neg.f64 (+.f64 (/.f64 95223707106196353/10000000000000 (pow.f64 z 4)) (+.f64 (+.f64 (/.f64 16075101696843969/10000000000000 (*.f64 z z)) (/.f64 47576671969241/80000000000 z)) (/.f64 41160703924046283/10000000000000 (pow.f64 z 3))))) |
(-.f64 (/.f64 -95223707106196353/10000000000000 (pow.f64 z 4)) (+.f64 (/.f64 47576671969241/80000000000 z) (+.f64 (/.f64 16075101696843969/10000000000000 (*.f64 z z)) (/.f64 41160703924046283/10000000000000 (pow.f64 z 3))))) |
(+.f64 (/.f64 -16075101696843969/10000000000000 (*.f64 z z)) (-.f64 (+.f64 (/.f64 -47576671969241/80000000000 z) (/.f64 -41160703924046283/10000000000000 (pow.f64 z 3))) (/.f64 95223707106196353/10000000000000 (pow.f64 z 4)))) |
(+.f64 (/.f64 -95223707106196353/10000000000000 (pow.f64 z 4)) (+.f64 (/.f64 -16075101696843969/10000000000000 (*.f64 z z)) (+.f64 (/.f64 -47576671969241/80000000000 z) (/.f64 -41160703924046283/10000000000000 (pow.f64 z 3))))) |
8 alts after pruning (6 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 78 | 1 | 79 |
| Fresh | 1 | 5 | 6 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 1 | 1 |
| Total | 79 | 8 | 87 |
| Status | Error | Program |
|---|---|---|
| 1.7b | (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (+.f64 (*.f64 (*.f64 (-.f64 (/.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (sqrt.f64 15/2))) (*.f64 102757979785251069442117317613/235200000000000000000000000 (sqrt.f64 15/2)))) (exp.f64 15/2)) (*.f64 -1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 15/2)) (exp.f64 15/2)))) z) (sqrt.f64 (PI.f64))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 15/2)) (exp.f64 15/2)) (sqrt.f64 (PI.f64)))))) | |
| 2.7b | (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 15/2)) (exp.f64 15/2)) (sqrt.f64 (PI.f64))))) | |
| 1.0b | (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (fma.f64 z (fma.f64 (/.f64 (-.f64 -1/15 (log.f64 15/2)) (exp.f64 15/2)) (sqrt.f64 15/2) (/.f64 (sqrt.f64 15/2) (exp.f64 15/2))) (fma.f64 (*.f64 z z) (+.f64 (fma.f64 (/.f64 (fma.f64 1/2 (pow.f64 (-.f64 -1/15 (log.f64 15/2)) 2) 29/225) (exp.f64 15/2)) (sqrt.f64 15/2) (*.f64 (/.f64 (sqrt.f64 15/2) (exp.f64 15/2)) -1/2)) (fma.f64 (/.f64 (-.f64 -1/15 (log.f64 15/2)) (exp.f64 15/2)) (sqrt.f64 15/2) (/.f64 (sqrt.f64 15/2) (exp.f64 15/2)))) (/.f64 (sqrt.f64 15/2) (exp.f64 15/2))))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))) | |
| 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)) (exp.f64 (log.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))))))))) | |
| 1.2b | (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (fma.f64 z (fma.f64 (/.f64 (-.f64 -1/15 (log.f64 15/2)) (exp.f64 15/2)) (sqrt.f64 15/2) (/.f64 (sqrt.f64 15/2) (exp.f64 15/2))) (/.f64 (sqrt.f64 15/2) (exp.f64 15/2)))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (*.f64 (+.f64 (pow.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 3) (/.f64 -688641173045047177036613100428008022090298927/125000000000000000000000000000000000000 (pow.f64 (-.f64 4 z) 3))) (/.f64 1 (+.f64 (/.f64 59493983178131529437839794393961/100000000000000000000000000 (pow.f64 (-.f64 3 z) 2)) (*.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (-.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))) | |
| ✓ | 0.5b | (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z)))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))) 3)) (+.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 (log.f64 (/.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)) (exp.f64 (log.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))))))))) | |
| ✓ | 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 (pow.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 3) (/.f64 -688641173045047177036613100428008022090298927/125000000000000000000000000000000000000 (pow.f64 (-.f64 4 z) 3))) (/.f64 1 (+.f64 (/.f64 59493983178131529437839794393961/100000000000000000000000000 (pow.f64 (-.f64 3 z) 2)) (*.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (-.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 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 9363 to 7535 computations (19.5% saved)
Total 0.2b remaining (39.2%)
Threshold costs 0.2b (39.2%)
Compiled 11743 to 9155 computations (22% saved)
| 1× | egg-herbie |
| 22× | +-commutative_binary64 |
| 13× | sub-neg_binary64 |
| 9× | *-commutative_binary64 |
| 2× | neg-sub0_binary64 |
| 2× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 71 | 163 |
| 1 | 102 | 163 |
| 2 | 121 | 163 |
| 3 | 125 | 163 |
| 4 | 127 | 163 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z)))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (*.f64 (+.f64 (pow.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 3) (/.f64 -688641173045047177036613100428008022090298927/125000000000000000000000000000000000000 (pow.f64 (-.f64 4 z) 3))) (/.f64 1 (+.f64 (/.f64 59493983178131529437839794393961/100000000000000000000000000 (pow.f64 (-.f64 3 z) 2)) (*.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (-.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))) |
| Outputs |
|---|
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z)))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (*.f64 (+.f64 (pow.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 3) (/.f64 -688641173045047177036613100428008022090298927/125000000000000000000000000000000000000 (pow.f64 (-.f64 4 z) 3))) (/.f64 1 (+.f64 (/.f64 59493983178131529437839794393961/100000000000000000000000000 (pow.f64 (-.f64 3 z) 2)) (*.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (-.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 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 881 to 746 computations (15.3% saved)
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