Time bar (total: 1.0min)
| 1× | search |
| True | Other | False | Iter |
|---|---|---|---|
| 0% | 74.9% | 25.1% | 0 |
| 0% | 74.9% | 25.1% | 1 |
| 0% | 74.9% | 25.1% | 2 |
| 18.7% | 56.2% | 25.1% | 3 |
| 37.5% | 37.5% | 25.1% | 4 |
| 42.1% | 32.8% | 25.1% | 5 |
| 46.8% | 28.1% | 25.1% | 6 |
| 48% | 26.9% | 25.1% | 7 |
| 49.2% | 25.8% | 25.1% | 8 |
| 49.5% | 25.5% | 25.1% | 9 |
| 49.8% | 25.2% | 25.1% | 10 |
| 49.8% | 25.2% | 25.1% | 11 |
| 49.8% | 25.1% | 25.1% | 12 |
| 49.9% | 25% | 25.1% | 13 |
| 49.9% | 25% | 25.1% | 14 |
Compiled 127 to 112 computations (11.8% saved)
| 52.7s | 4205× | body | 8192 | exit |
| 4.0s | 8256× | body | 128 | valid |
| 48.0ms | 99× | body | 128 | invalid |
Compiled 254 to 224 computations (11.8% saved)
| 2× | egg-herbie |
| 504× | rules-20_binary64 |
| 415× | rules-9-rev_binary64 |
| 400× | rules-21_binary64 |
| 382× | rules-13_binary64 |
| 298× | rules-14-rev_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 61 | 189 |
| 1 | 131 | 154 |
| 2 | 462 | 145 |
| 3 | 2048 | 135 |
| 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 (-.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 1 (+.f64 (-.f64 1 z) -1)))) (/.f64 -3147848041806007/2500000000000 (+.f64 2 (+.f64 (-.f64 1 z) -1)))) (/.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 (exp.f64 (-.f64 -1/2 (+.f64 (-.f64 1 z) 6))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 1 z) -1) 15/2) (+.f64 (-.f64 1 z) -1/2))) (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 1 z) 0)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)) 9999999999998099/10000000000000000)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)))) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6))))))) |
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 0 z) 1/2))) (*.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 (-.f64 z 6) -3/2))) (+.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 1 (+.f64 z -1))))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 0 z) 3)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)))) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 7 (+.f64 z 1))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 0 z) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 0 z) 8)))))) |
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4))))) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7))))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))))) |
Compiled 124 to 110 computations (11.3% saved)
| 1× | egg-herbie |
| 504× | rules-20_binary64 |
| 415× | rules-9-rev_binary64 |
| 400× | rules-21_binary64 |
| 382× | rules-13_binary64 |
| 298× | rules-14-rev_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 61 | 189 |
| 1 | 131 | 154 |
| 2 | 462 | 145 |
| 3 | 2048 | 135 |
| 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 (-.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 1 (+.f64 (-.f64 1 z) -1)))) (/.f64 -3147848041806007/2500000000000 (+.f64 2 (+.f64 (-.f64 1 z) -1)))) (/.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 (exp.f64 (-.f64 -1/2 (+.f64 (-.f64 1 z) 6))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 1 z) -1) 15/2) (+.f64 (-.f64 1 z) -1/2))) (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 1 z) 0)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)) 9999999999998099/10000000000000000)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)))) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6))))))) |
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 0 z) 1/2))) (*.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 (-.f64 z 6) -3/2))) (+.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 1 (+.f64 z -1))))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 0 z) 3)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)))) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 7 (+.f64 z 1))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 0 z) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 0 z) 8)))))) |
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4))))) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7))))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))))) |
3 alts after pruning (3 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 0 | 2 | 2 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 0 | 0 |
| Total | 0 | 3 | 3 |
| Status | Error | Program |
|---|---|---|
| ▶ | 1.0b | (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4))))) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7))))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (-.f64 -15/2 (neg.f64 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 626 to 511 computations (18.4% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 1.0b | (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) |
| ✓ | 1.0b | (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4))) |
| ✓ | 1.0b | (sqrt.f64 (*.f64 (PI.f64) 2)) |
| ✓ | 2.8b | (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | z | @ | inf | (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4))) |
| 1.0ms | z | @ | -inf | (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4))) |
| 1.0ms | z | @ | -inf | (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) |
| 1.0ms | z | @ | 0 | (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))))) |
| 1.0ms | z | @ | inf | (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) |
| 1× | batch-egg-rewrite |
| 268× | add-cbrt-cube_binary64 |
| 268× | add-exp-log_binary64 |
| 268× | add-log-exp_binary64 |
| 268× | log1p-expm1-u_binary64 |
| 268× | expm1-log1p-u_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 26 | 57 |
| 1 | 651 | 57 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))))) |
(sqrt.f64 (*.f64 (PI.f64) 2)) |
(+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4))) |
(/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) |
| Outputs |
|---|
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 (*.f64 2 (PI.f64))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (sqrt.f64 (*.f64 2 (PI.f64))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 2 (PI.f64))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 2 (PI.f64)))) (cbrt.f64 (sqrt.f64 (*.f64 2 (PI.f64))))) (cbrt.f64 (sqrt.f64 (*.f64 2 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sqrt.f64 (*.f64 2 (PI.f64)))) (sqrt.f64 (sqrt.f64 (*.f64 2 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (*.f64 2 (PI.f64))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 2 (PI.f64)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 2 (PI.f64))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (*.f64 2 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (*.f64 2 (PI.f64)) (sqrt.f64 (*.f64 2 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 2 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (*.f64 2 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 2 (PI.f64))))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)))) (cbrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4))))) (cbrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)))) (sqrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -883075145810703/5000000000000 (*.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) (+.f64 (neg.f64 z) 4))) (+.f64 (neg.f64 z) 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) 3) (pow.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)) 3)) (+.f64 (*.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3))) (-.f64 (*.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4))) (*.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (*.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4))))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3))) (cbrt.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)))) (cbrt.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3))) (sqrt.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (*.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3))) (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)))))))) |
| 1× | egg-herbie |
| 676× | rules-13_binary64 |
| 471× | rules-14-rev_binary64 |
| 340× | rules-21_binary64 |
| 329× | rules-20_binary64 |
| 193× | fma-def_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 103 | 531 |
| 1 | 372 | 519 |
| 2 | 1566 | 516 |
| 1× | node limit |
| Inputs |
|---|
479507597606835099/10000000000000000 |
(+.f64 479507597606835099/10000000000000000 (*.f64 904338909853211/2500000000000 z)) |
(+.f64 479507597606835099/10000000000000000 (+.f64 (*.f64 2076511864126339/4000000000000 (pow.f64 z 2)) (*.f64 904338909853211/2500000000000 z))) |
(+.f64 479507597606835099/10000000000000000 (+.f64 (*.f64 2076511864126339/4000000000000 (pow.f64 z 2)) (+.f64 (*.f64 904338909853211/2500000000000 z) (*.f64 23912966683069397/40000000000000 (pow.f64 z 3))))) |
9999999999998099/10000000000000000 |
(+.f64 9999999999998099/10000000000000000 (*.f64 5826188486005177/10000000000000 (/.f64 1 z))) |
(+.f64 9999999999998099/10000000000000000 (+.f64 (*.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 5826188486005177/10000000000000 (/.f64 1 z)))) |
(+.f64 9999999999998099/10000000000000000 (+.f64 (*.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (*.f64 43600364987677261/10000000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 5826188486005177/10000000000000 (/.f64 1 z))))) |
9999999999998099/10000000000000000 |
(+.f64 9999999999998099/10000000000000000 (*.f64 5826188486005177/10000000000000 (/.f64 1 z))) |
(+.f64 9999999999998099/10000000000000000 (+.f64 (*.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 5826188486005177/10000000000000 (/.f64 1 z)))) |
(+.f64 9999999999998099/10000000000000000 (+.f64 (*.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (*.f64 43600364987677261/10000000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 5826188486005177/10000000000000 (/.f64 1 z))))) |
12777243138120953/60000000000000 |
(+.f64 12777243138120953/60000000000000 (*.f64 53758197989915921/720000000000000 z)) |
(+.f64 12777243138120953/60000000000000 (+.f64 (*.f64 222980468271960011/8640000000000000 (pow.f64 z 2)) (*.f64 53758197989915921/720000000000000 z))) |
(+.f64 12777243138120953/60000000000000 (+.f64 (*.f64 222980468271960011/8640000000000000 (pow.f64 z 2)) (+.f64 (*.f64 53758197989915921/720000000000000 z) (*.f64 36630596080989161/4147200000000000 (pow.f64 z 3))))) |
(/.f64 -47576671969241/80000000000 z) |
(neg.f64 (+.f64 (*.f64 16075101696843969/10000000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 47576671969241/80000000000 (/.f64 1 z)))) |
(neg.f64 (+.f64 (*.f64 16075101696843969/10000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (*.f64 41160703924046283/10000000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 47576671969241/80000000000 (/.f64 1 z))))) |
(neg.f64 (+.f64 (*.f64 16075101696843969/10000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (*.f64 41160703924046283/10000000000000 (/.f64 1 (pow.f64 z 3))) (+.f64 (*.f64 95223707106196353/10000000000000 (/.f64 1 (pow.f64 z 4))) (*.f64 47576671969241/80000000000 (/.f64 1 z)))))) |
(/.f64 -47576671969241/80000000000 z) |
(neg.f64 (+.f64 (*.f64 16075101696843969/10000000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 47576671969241/80000000000 (/.f64 1 z)))) |
(neg.f64 (+.f64 (*.f64 16075101696843969/10000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (*.f64 41160703924046283/10000000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 47576671969241/80000000000 (/.f64 1 z))))) |
(neg.f64 (+.f64 (*.f64 16075101696843969/10000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (*.f64 41160703924046283/10000000000000 (/.f64 1 (pow.f64 z 3))) (+.f64 (*.f64 95223707106196353/10000000000000 (/.f64 1 (pow.f64 z 4))) (*.f64 47576671969241/80000000000 (/.f64 1 z)))))) |
7713234287776531/30000000000000 |
(+.f64 7713234287776531/30000000000000 (*.f64 7713234287776531/90000000000000 z)) |
(+.f64 7713234287776531/30000000000000 (+.f64 (*.f64 7713234287776531/270000000000000 (pow.f64 z 2)) (*.f64 7713234287776531/90000000000000 z))) |
(+.f64 7713234287776531/30000000000000 (+.f64 (*.f64 7713234287776531/270000000000000 (pow.f64 z 2)) (+.f64 (*.f64 7713234287776531/90000000000000 z) (*.f64 7713234287776531/810000000000000 (pow.f64 z 3))))) |
(/.f64 -7713234287776531/10000000000000 z) |
(neg.f64 (+.f64 (*.f64 23139702863329593/10000000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 7713234287776531/10000000000000 (/.f64 1 z)))) |
(neg.f64 (+.f64 (*.f64 23139702863329593/10000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (*.f64 69419108589988779/10000000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 7713234287776531/10000000000000 (/.f64 1 z))))) |
(neg.f64 (+.f64 (*.f64 23139702863329593/10000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (*.f64 69419108589988779/10000000000000 (/.f64 1 (pow.f64 z 3))) (+.f64 (*.f64 208257325769966337/10000000000000 (/.f64 1 (pow.f64 z 4))) (*.f64 7713234287776531/10000000000000 (/.f64 1 z)))))) |
(/.f64 -7713234287776531/10000000000000 z) |
(neg.f64 (+.f64 (*.f64 23139702863329593/10000000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 7713234287776531/10000000000000 (/.f64 1 z)))) |
(neg.f64 (+.f64 (*.f64 23139702863329593/10000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (*.f64 69419108589988779/10000000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 7713234287776531/10000000000000 (/.f64 1 z))))) |
(neg.f64 (+.f64 (*.f64 23139702863329593/10000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (*.f64 69419108589988779/10000000000000 (/.f64 1 (pow.f64 z 3))) (+.f64 (*.f64 208257325769966337/10000000000000 (/.f64 1 (pow.f64 z 4))) (*.f64 7713234287776531/10000000000000 (/.f64 1 z)))))) |
| Outputs |
|---|
479507597606835099/10000000000000000 |
(+.f64 479507597606835099/10000000000000000 (*.f64 904338909853211/2500000000000 z)) |
(fma.f64 904338909853211/2500000000000 z 479507597606835099/10000000000000000) |
(+.f64 479507597606835099/10000000000000000 (+.f64 (*.f64 2076511864126339/4000000000000 (pow.f64 z 2)) (*.f64 904338909853211/2500000000000 z))) |
(+.f64 479507597606835099/10000000000000000 (fma.f64 2076511864126339/4000000000000 (*.f64 z z) (*.f64 904338909853211/2500000000000 z))) |
(fma.f64 2076511864126339/4000000000000 (*.f64 z z) (fma.f64 904338909853211/2500000000000 z 479507597606835099/10000000000000000)) |
(+.f64 479507597606835099/10000000000000000 (+.f64 (*.f64 2076511864126339/4000000000000 (pow.f64 z 2)) (+.f64 (*.f64 904338909853211/2500000000000 z) (*.f64 23912966683069397/40000000000000 (pow.f64 z 3))))) |
(+.f64 479507597606835099/10000000000000000 (fma.f64 2076511864126339/4000000000000 (*.f64 z z) (fma.f64 904338909853211/2500000000000 z (*.f64 23912966683069397/40000000000000 (pow.f64 z 3))))) |
(+.f64 (*.f64 23912966683069397/40000000000000 (pow.f64 z 3)) (fma.f64 2076511864126339/4000000000000 (*.f64 z z) (fma.f64 904338909853211/2500000000000 z 479507597606835099/10000000000000000))) |
(+.f64 479507597606835099/10000000000000000 (fma.f64 904338909853211/2500000000000 z (*.f64 (*.f64 z z) (+.f64 (*.f64 z 23912966683069397/40000000000000) 2076511864126339/4000000000000)))) |
9999999999998099/10000000000000000 |
(+.f64 9999999999998099/10000000000000000 (*.f64 5826188486005177/10000000000000 (/.f64 1 z))) |
(+.f64 9999999999998099/10000000000000000 (/.f64 5826188486005177/10000000000000 z)) |
(+.f64 9999999999998099/10000000000000000 (+.f64 (*.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 5826188486005177/10000000000000 (/.f64 1 z)))) |
(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 5826188486005177/10000000000000 z) (/.f64 3683516130645841/2000000000000 (*.f64 z z)))) |
(+.f64 9999999999998099/10000000000000000 (+.f64 (*.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (*.f64 43600364987677261/10000000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 5826188486005177/10000000000000 (/.f64 1 z))))) |
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9999999999998099/10000000000000000 |
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(/.f64 -47576671969241/80000000000 z) |
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7713234287776531/30000000000000 |
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6 alts after pruning (6 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 87 | 5 | 92 |
| Fresh | 0 | 1 | 1 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 88 | 6 | 94 |
| Status | Error | Program |
|---|---|---|
| ▶ | 0.5b | (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (*.f64 (+.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4))))) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7))))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))))) |
| 2.4b | (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 2 (PI.f64)))) (cbrt.f64 (sqrt.f64 (*.f64 2 (PI.f64))))) (cbrt.f64 (sqrt.f64 (*.f64 2 (PI.f64))))) (*.f64 (+.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4))))) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7))))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))))) | |
| 0.5b | (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (-.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) 0) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4))))) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7))))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))))) | |
| 1.0b | (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (+.f64 (exp.f64 (log.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)))) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4))))) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7))))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))))) | |
| 1.7b | (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2) (+.f64 (-.f64 (-.f64 1 z) 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 8))))) | |
| 1.4b | (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (exp.f64 (log.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4))))))) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7))))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))))) |
Compiled 9292 to 6400 computations (31.1% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 1.0b | (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) | |
| 1.0b | (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4))) | |
| ✓ | 1.0b | (sqrt.f64 (PI.f64)) |
| 2.8b | (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))))) |
| 1× | batch-egg-rewrite |
| 281× | pow1_binary64 |
| 281× | rules-40_binary64 |
| 281× | rules-41_binary64 |
| 281× | rules-42_binary64 |
| 281× | rules-43_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 3 | 4 |
| 1 | 69 | 4 |
| 2 | 847 | 4 |
| 1× | node limit |
| Inputs |
|---|
(sqrt.f64 (PI.f64)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 (PI.f64)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (sqrt.f64 (PI.f64)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (-.f64 0 (sqrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (sqrt.f64 (PI.f64))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (PI.f64)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (PI.f64)) (pow.f64 1 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 (sqrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) (cbrt.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (PI.f64) 1/4) (pow.f64 (PI.f64) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (sqrt.f64 (cbrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) 1/2) (pow.f64 (cbrt.f64 (PI.f64)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (PI.f64)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (PI.f64) 3/2) (+.f64 (PI.f64) (+.f64 0 (*.f64 (sqrt.f64 (PI.f64)) 0))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (PI.f64) 3/2) (+.f64 (PI.f64) (-.f64 0 (*.f64 (sqrt.f64 (PI.f64)) 0))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (PI.f64) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (PI.f64)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (PI.f64) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (PI.f64) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (PI.f64) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (PI.f64)) 1 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 (sqrt.f64 (PI.f64))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (PI.f64) 1/4) (pow.f64 (PI.f64) 1/4) 0)))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (PI.f64)))))))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 0 | 0 |
| 1× | saturated |
| Inputs |
|---|
| Outputs |
|---|
7 alts after pruning (6 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 105 | 3 | 108 |
| Fresh | 2 | 3 | 5 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 107 | 7 | 114 |
| Status | Error | Program |
|---|---|---|
| ▶ | 1.0b | (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (+.f64 (exp.f64 (log.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)))) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4))))) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7))))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))))) |
| 1.4b | (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (*.f64 (+.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (expm1.f64 (log1p.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4))))))) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7))))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))))) | |
| ✓ | 0.5b | (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (*.f64 (+.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4))))) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7))))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))))) |
| 2.4b | (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 2 (PI.f64)))) (cbrt.f64 (sqrt.f64 (*.f64 2 (PI.f64))))) (cbrt.f64 (sqrt.f64 (*.f64 2 (PI.f64))))) (*.f64 (+.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4))))) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7))))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))))) | |
| 2.0b | (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (*.f64 (+.f64 (+.f64 (fma.f64 2076511864126339/4000000000000 (*.f64 z z) (fma.f64 904338909853211/2500000000000 z 479507597606835099/10000000000000000)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4))))) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7))))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))))) | |
| 1.7b | (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) 3) (sqrt.f64 2)) (*.f64 (+.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4))))) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7))))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))))) | |
| 1.4b | (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (exp.f64 (log.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4))))))) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7))))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))))) |
Compiled 10817 to 7321 computations (32.3% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 1.0b | (+.f64 (exp.f64 (log.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)))) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4))) |
| 1.0b | (sqrt.f64 (*.f64 (PI.f64) 2)) | |
| ✓ | 1.0b | (exp.f64 (log.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)))) |
| 2.8b | (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | z | @ | inf | (+.f64 (exp.f64 (log.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)))) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4))) |
| 1.0ms | z | @ | -inf | (+.f64 (exp.f64 (log.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)))) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4))) |
| 1.0ms | z | @ | -inf | (exp.f64 (log.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)))) |
| 1.0ms | z | @ | inf | (exp.f64 (log.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)))) |
| 1.0ms | z | @ | 0 | (exp.f64 (log.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)))) |
| 1× | batch-egg-rewrite |
| 306× | rules-34-rev_binary64 |
| 141× | add-sqr-sqrt_binary64 |
| 137× | add-log-exp_binary64 |
| 136× | add-exp-log_binary64 |
| 136× | log1p-expm1-u_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 29 |
| 1 | 337 | 23 |
| 2 | 4143 | 23 |
| 1× | node limit |
| Inputs |
|---|
(exp.f64 (log.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)))) |
(+.f64 (exp.f64 (log.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)))) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4))) |
| Outputs |
|---|
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(2) ((x fma.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 4)) 1 (/.f64 7713234287776531/10000000000000 (+.f64 z 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 3)) (/.f64 -883075145810703/5000000000000 (+.f64 z 4))) 1 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 3)) (/.f64 -883075145810703/5000000000000 (+.f64 z 4)))) 2) (cbrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 3)) (/.f64 -883075145810703/5000000000000 (+.f64 z 4)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 3))) 2) (cbrt.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 3))) (/.f64 -883075145810703/5000000000000 (+.f64 z 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 4))) 2) (cbrt.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 4))) (/.f64 7713234287776531/10000000000000 (+.f64 z 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 3)) (/.f64 -883075145810703/5000000000000 (+.f64 z 4)))) (sqrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 3)) (/.f64 -883075145810703/5000000000000 (+.f64 z 4)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 3))) (sqrt.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 3))) (/.f64 -883075145810703/5000000000000 (+.f64 z 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 4))) (sqrt.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 4))) (/.f64 7713234287776531/10000000000000 (+.f64 z 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 3)) (/.f64 -883075145810703/5000000000000 (+.f64 z 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 3)) (/.f64 -883075145810703/5000000000000 (+.f64 z 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 3)) (/.f64 -883075145810703/5000000000000 (+.f64 z 4))))))))) |
| 1× | egg-herbie |
| 472× | rules-13_binary64 |
| 344× | rules-14-rev_binary64 |
| 328× | rules-4_binary64 |
| 242× | rules-20_binary64 |
| 238× | rules-21_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 77 | 390 |
| 1 | 272 | 382 |
| 2 | 1140 | 380 |
| 1× | node limit |
| Inputs |
|---|
7713234287776531/30000000000000 |
(+.f64 7713234287776531/30000000000000 (*.f64 7713234287776531/90000000000000 z)) |
(+.f64 7713234287776531/30000000000000 (+.f64 (*.f64 7713234287776531/270000000000000 (pow.f64 z 2)) (*.f64 7713234287776531/90000000000000 z))) |
(+.f64 7713234287776531/30000000000000 (+.f64 (*.f64 7713234287776531/270000000000000 (pow.f64 z 2)) (+.f64 (*.f64 7713234287776531/90000000000000 z) (*.f64 7713234287776531/810000000000000 (pow.f64 z 3))))) |
(/.f64 -7713234287776531/10000000000000 z) |
(neg.f64 (+.f64 (*.f64 23139702863329593/10000000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 7713234287776531/10000000000000 (/.f64 1 z)))) |
(neg.f64 (+.f64 (*.f64 23139702863329593/10000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (*.f64 69419108589988779/10000000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 7713234287776531/10000000000000 (/.f64 1 z))))) |
(neg.f64 (+.f64 (*.f64 23139702863329593/10000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (*.f64 69419108589988779/10000000000000 (/.f64 1 (pow.f64 z 3))) (+.f64 (*.f64 208257325769966337/10000000000000 (/.f64 1 (pow.f64 z 4))) (*.f64 7713234287776531/10000000000000 (/.f64 1 z)))))) |
(/.f64 -7713234287776531/10000000000000 z) |
(neg.f64 (+.f64 (*.f64 23139702863329593/10000000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 7713234287776531/10000000000000 (/.f64 1 z)))) |
(neg.f64 (+.f64 (*.f64 23139702863329593/10000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (*.f64 69419108589988779/10000000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 7713234287776531/10000000000000 (/.f64 1 z))))) |
(neg.f64 (+.f64 (*.f64 23139702863329593/10000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (*.f64 69419108589988779/10000000000000 (/.f64 1 (pow.f64 z 3))) (+.f64 (*.f64 208257325769966337/10000000000000 (/.f64 1 (pow.f64 z 4))) (*.f64 7713234287776531/10000000000000 (/.f64 1 z)))))) |
12777243138120953/60000000000000 |
(+.f64 12777243138120953/60000000000000 (*.f64 53758197989915921/720000000000000 z)) |
(+.f64 12777243138120953/60000000000000 (+.f64 (*.f64 222980468271960011/8640000000000000 (pow.f64 z 2)) (*.f64 53758197989915921/720000000000000 z))) |
(+.f64 12777243138120953/60000000000000 (+.f64 (*.f64 222980468271960011/8640000000000000 (pow.f64 z 2)) (+.f64 (*.f64 53758197989915921/720000000000000 z) (*.f64 36630596080989161/4147200000000000 (pow.f64 z 3))))) |
(/.f64 -47576671969241/80000000000 z) |
(neg.f64 (+.f64 (*.f64 16075101696843969/10000000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 47576671969241/80000000000 (/.f64 1 z)))) |
(neg.f64 (+.f64 (*.f64 16075101696843969/10000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (*.f64 41160703924046283/10000000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 47576671969241/80000000000 (/.f64 1 z))))) |
(neg.f64 (+.f64 (*.f64 16075101696843969/10000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (*.f64 41160703924046283/10000000000000 (/.f64 1 (pow.f64 z 3))) (+.f64 (*.f64 95223707106196353/10000000000000 (/.f64 1 (pow.f64 z 4))) (*.f64 47576671969241/80000000000 (/.f64 1 z)))))) |
(/.f64 -47576671969241/80000000000 z) |
(neg.f64 (+.f64 (*.f64 16075101696843969/10000000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 47576671969241/80000000000 (/.f64 1 z)))) |
(neg.f64 (+.f64 (*.f64 16075101696843969/10000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (*.f64 41160703924046283/10000000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 47576671969241/80000000000 (/.f64 1 z))))) |
(neg.f64 (+.f64 (*.f64 16075101696843969/10000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (*.f64 41160703924046283/10000000000000 (/.f64 1 (pow.f64 z 3))) (+.f64 (*.f64 95223707106196353/10000000000000 (/.f64 1 (pow.f64 z 4))) (*.f64 47576671969241/80000000000 (/.f64 1 z)))))) |
| Outputs |
|---|
7713234287776531/30000000000000 |
(+.f64 7713234287776531/30000000000000 (*.f64 7713234287776531/90000000000000 z)) |
(fma.f64 7713234287776531/90000000000000 z 7713234287776531/30000000000000) |
(+.f64 7713234287776531/30000000000000 (+.f64 (*.f64 7713234287776531/270000000000000 (pow.f64 z 2)) (*.f64 7713234287776531/90000000000000 z))) |
(+.f64 7713234287776531/30000000000000 (fma.f64 7713234287776531/270000000000000 (*.f64 z z) (*.f64 7713234287776531/90000000000000 z))) |
(fma.f64 7713234287776531/270000000000000 (*.f64 z z) (fma.f64 7713234287776531/90000000000000 z 7713234287776531/30000000000000)) |
(+.f64 7713234287776531/30000000000000 (+.f64 (*.f64 7713234287776531/270000000000000 (pow.f64 z 2)) (+.f64 (*.f64 7713234287776531/90000000000000 z) (*.f64 7713234287776531/810000000000000 (pow.f64 z 3))))) |
(+.f64 7713234287776531/30000000000000 (fma.f64 7713234287776531/270000000000000 (*.f64 z z) (fma.f64 7713234287776531/90000000000000 z (*.f64 7713234287776531/810000000000000 (pow.f64 z 3))))) |
(+.f64 7713234287776531/30000000000000 (fma.f64 7713234287776531/90000000000000 z (fma.f64 7713234287776531/810000000000000 (pow.f64 z 3) (*.f64 z (*.f64 7713234287776531/270000000000000 z))))) |
(+.f64 7713234287776531/30000000000000 (fma.f64 7713234287776531/90000000000000 z (*.f64 (*.f64 z z) (+.f64 7713234287776531/270000000000000 (*.f64 z 7713234287776531/810000000000000))))) |
(/.f64 -7713234287776531/10000000000000 z) |
(neg.f64 (+.f64 (*.f64 23139702863329593/10000000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 7713234287776531/10000000000000 (/.f64 1 z)))) |
(neg.f64 (+.f64 (/.f64 23139702863329593/10000000000000 (*.f64 z z)) (/.f64 7713234287776531/10000000000000 z))) |
(-.f64 (neg.f64 (/.f64 23139702863329593/10000000000000 (*.f64 z z))) (/.f64 7713234287776531/10000000000000 z)) |
(neg.f64 (+.f64 (*.f64 23139702863329593/10000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (*.f64 69419108589988779/10000000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 7713234287776531/10000000000000 (/.f64 1 z))))) |
(neg.f64 (+.f64 (/.f64 23139702863329593/10000000000000 (*.f64 z z)) (+.f64 (/.f64 7713234287776531/10000000000000 z) (/.f64 69419108589988779/10000000000000 (pow.f64 z 3))))) |
(neg.f64 (+.f64 (/.f64 7713234287776531/10000000000000 z) (+.f64 (/.f64 23139702863329593/10000000000000 (*.f64 z z)) (/.f64 69419108589988779/10000000000000 (pow.f64 z 3))))) |
(-.f64 (neg.f64 (/.f64 7713234287776531/10000000000000 z)) (+.f64 (/.f64 23139702863329593/10000000000000 (*.f64 z z)) (/.f64 69419108589988779/10000000000000 (pow.f64 z 3)))) |
(neg.f64 (+.f64 (*.f64 23139702863329593/10000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (*.f64 69419108589988779/10000000000000 (/.f64 1 (pow.f64 z 3))) (+.f64 (*.f64 208257325769966337/10000000000000 (/.f64 1 (pow.f64 z 4))) (*.f64 7713234287776531/10000000000000 (/.f64 1 z)))))) |
(neg.f64 (+.f64 (/.f64 23139702863329593/10000000000000 (*.f64 z z)) (+.f64 (/.f64 7713234287776531/10000000000000 z) (+.f64 (/.f64 69419108589988779/10000000000000 (pow.f64 z 3)) (/.f64 208257325769966337/10000000000000 (pow.f64 z 4)))))) |
(neg.f64 (+.f64 (/.f64 69419108589988779/10000000000000 (pow.f64 z 3)) (+.f64 (/.f64 23139702863329593/10000000000000 (*.f64 z z)) (+.f64 (/.f64 7713234287776531/10000000000000 z) (/.f64 208257325769966337/10000000000000 (pow.f64 z 4)))))) |
(-.f64 (neg.f64 (+.f64 (/.f64 7713234287776531/10000000000000 z) (/.f64 208257325769966337/10000000000000 (pow.f64 z 4)))) (+.f64 (/.f64 23139702863329593/10000000000000 (*.f64 z z)) (/.f64 69419108589988779/10000000000000 (pow.f64 z 3)))) |
(/.f64 -7713234287776531/10000000000000 z) |
(neg.f64 (+.f64 (*.f64 23139702863329593/10000000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 7713234287776531/10000000000000 (/.f64 1 z)))) |
(neg.f64 (+.f64 (/.f64 23139702863329593/10000000000000 (*.f64 z z)) (/.f64 7713234287776531/10000000000000 z))) |
(-.f64 (neg.f64 (/.f64 23139702863329593/10000000000000 (*.f64 z z))) (/.f64 7713234287776531/10000000000000 z)) |
(neg.f64 (+.f64 (*.f64 23139702863329593/10000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (*.f64 69419108589988779/10000000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 7713234287776531/10000000000000 (/.f64 1 z))))) |
(neg.f64 (+.f64 (/.f64 23139702863329593/10000000000000 (*.f64 z z)) (+.f64 (/.f64 7713234287776531/10000000000000 z) (/.f64 69419108589988779/10000000000000 (pow.f64 z 3))))) |
(neg.f64 (+.f64 (/.f64 7713234287776531/10000000000000 z) (+.f64 (/.f64 23139702863329593/10000000000000 (*.f64 z z)) (/.f64 69419108589988779/10000000000000 (pow.f64 z 3))))) |
(-.f64 (neg.f64 (/.f64 7713234287776531/10000000000000 z)) (+.f64 (/.f64 23139702863329593/10000000000000 (*.f64 z z)) (/.f64 69419108589988779/10000000000000 (pow.f64 z 3)))) |
(neg.f64 (+.f64 (*.f64 23139702863329593/10000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (*.f64 69419108589988779/10000000000000 (/.f64 1 (pow.f64 z 3))) (+.f64 (*.f64 208257325769966337/10000000000000 (/.f64 1 (pow.f64 z 4))) (*.f64 7713234287776531/10000000000000 (/.f64 1 z)))))) |
(neg.f64 (+.f64 (/.f64 23139702863329593/10000000000000 (*.f64 z z)) (+.f64 (/.f64 7713234287776531/10000000000000 z) (+.f64 (/.f64 69419108589988779/10000000000000 (pow.f64 z 3)) (/.f64 208257325769966337/10000000000000 (pow.f64 z 4)))))) |
(neg.f64 (+.f64 (/.f64 69419108589988779/10000000000000 (pow.f64 z 3)) (+.f64 (/.f64 23139702863329593/10000000000000 (*.f64 z z)) (+.f64 (/.f64 7713234287776531/10000000000000 z) (/.f64 208257325769966337/10000000000000 (pow.f64 z 4)))))) |
(-.f64 (neg.f64 (+.f64 (/.f64 7713234287776531/10000000000000 z) (/.f64 208257325769966337/10000000000000 (pow.f64 z 4)))) (+.f64 (/.f64 23139702863329593/10000000000000 (*.f64 z z)) (/.f64 69419108589988779/10000000000000 (pow.f64 z 3)))) |
12777243138120953/60000000000000 |
(+.f64 12777243138120953/60000000000000 (*.f64 53758197989915921/720000000000000 z)) |
(+.f64 12777243138120953/60000000000000 (*.f64 z 53758197989915921/720000000000000)) |
(fma.f64 z 53758197989915921/720000000000000 12777243138120953/60000000000000) |
(+.f64 12777243138120953/60000000000000 (+.f64 (*.f64 222980468271960011/8640000000000000 (pow.f64 z 2)) (*.f64 53758197989915921/720000000000000 z))) |
(+.f64 12777243138120953/60000000000000 (fma.f64 222980468271960011/8640000000000000 (*.f64 z z) (*.f64 z 53758197989915921/720000000000000))) |
(fma.f64 (*.f64 z z) 222980468271960011/8640000000000000 (fma.f64 z 53758197989915921/720000000000000 12777243138120953/60000000000000)) |
(+.f64 12777243138120953/60000000000000 (+.f64 (*.f64 222980468271960011/8640000000000000 (pow.f64 z 2)) (+.f64 (*.f64 53758197989915921/720000000000000 z) (*.f64 36630596080989161/4147200000000000 (pow.f64 z 3))))) |
(+.f64 12777243138120953/60000000000000 (fma.f64 222980468271960011/8640000000000000 (*.f64 z z) (fma.f64 53758197989915921/720000000000000 z (*.f64 (pow.f64 z 3) 36630596080989161/4147200000000000)))) |
(+.f64 (fma.f64 (pow.f64 z 3) 36630596080989161/4147200000000000 (*.f64 (*.f64 z z) 222980468271960011/8640000000000000)) (fma.f64 z 53758197989915921/720000000000000 12777243138120953/60000000000000)) |
(+.f64 12777243138120953/60000000000000 (fma.f64 (pow.f64 z 3) 36630596080989161/4147200000000000 (*.f64 z (+.f64 (*.f64 z 222980468271960011/8640000000000000) 53758197989915921/720000000000000)))) |
(/.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 (neg.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 41160703924046283/10000000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 47576671969241/80000000000 (/.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 (neg.f64 (/.f64 16075101696843969/10000000000000 (*.f64 z z))) (+.f64 (/.f64 47576671969241/80000000000 z) (/.f64 41160703924046283/10000000000000 (pow.f64 z 3)))) |
(neg.f64 (+.f64 (*.f64 16075101696843969/10000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (*.f64 41160703924046283/10000000000000 (/.f64 1 (pow.f64 z 3))) (+.f64 (*.f64 95223707106196353/10000000000000 (/.f64 1 (pow.f64 z 4))) (*.f64 47576671969241/80000000000 (/.f64 1 z)))))) |
(neg.f64 (+.f64 (/.f64 16075101696843969/10000000000000 (*.f64 z z)) (+.f64 (/.f64 47576671969241/80000000000 z) (+.f64 (/.f64 41160703924046283/10000000000000 (pow.f64 z 3)) (/.f64 95223707106196353/10000000000000 (pow.f64 z 4)))))) |
(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 (neg.f64 (/.f64 16075101696843969/10000000000000 (*.f64 z z))) (+.f64 (/.f64 47576671969241/80000000000 z) (+.f64 (/.f64 41160703924046283/10000000000000 (pow.f64 z 3)) (/.f64 95223707106196353/10000000000000 (pow.f64 z 4))))) |
(/.f64 -47576671969241/80000000000 z) |
(neg.f64 (+.f64 (*.f64 16075101696843969/10000000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 47576671969241/80000000000 (/.f64 1 z)))) |
(neg.f64 (+.f64 (/.f64 16075101696843969/10000000000000 (*.f64 z z)) (/.f64 47576671969241/80000000000 z))) |
(-.f64 (neg.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 41160703924046283/10000000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 47576671969241/80000000000 (/.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 (neg.f64 (/.f64 16075101696843969/10000000000000 (*.f64 z z))) (+.f64 (/.f64 47576671969241/80000000000 z) (/.f64 41160703924046283/10000000000000 (pow.f64 z 3)))) |
(neg.f64 (+.f64 (*.f64 16075101696843969/10000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (*.f64 41160703924046283/10000000000000 (/.f64 1 (pow.f64 z 3))) (+.f64 (*.f64 95223707106196353/10000000000000 (/.f64 1 (pow.f64 z 4))) (*.f64 47576671969241/80000000000 (/.f64 1 z)))))) |
(neg.f64 (+.f64 (/.f64 16075101696843969/10000000000000 (*.f64 z z)) (+.f64 (/.f64 47576671969241/80000000000 z) (+.f64 (/.f64 41160703924046283/10000000000000 (pow.f64 z 3)) (/.f64 95223707106196353/10000000000000 (pow.f64 z 4)))))) |
(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 (neg.f64 (/.f64 16075101696843969/10000000000000 (*.f64 z z))) (+.f64 (/.f64 47576671969241/80000000000 z) (+.f64 (/.f64 41160703924046283/10000000000000 (pow.f64 z 3)) (/.f64 95223707106196353/10000000000000 (pow.f64 z 4))))) |
7 alts after pruning (5 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 165 | 1 | 166 |
| Fresh | 1 | 4 | 5 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 1 | 1 |
| Total | 166 | 7 | 173 |
| Status | Error | Program |
|---|---|---|
| ✓ | 1.0b | (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (+.f64 (exp.f64 (log.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)))) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4))))) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7))))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))))) |
| ▶ | 1.4b | (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (*.f64 (+.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (expm1.f64 (log1p.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4))))))) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7))))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))))) |
| ✓ | 0.5b | (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (*.f64 (+.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4))))) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7))))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))))) |
| 2.4b | (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 2 (PI.f64)))) (cbrt.f64 (sqrt.f64 (*.f64 2 (PI.f64))))) (cbrt.f64 (sqrt.f64 (*.f64 2 (PI.f64))))) (*.f64 (+.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4))))) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7))))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))))) | |
| 2.4b | (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 2 (PI.f64)))) (cbrt.f64 (sqrt.f64 (*.f64 2 (PI.f64))))) (cbrt.f64 (sqrt.f64 (*.f64 2 (PI.f64))))) (*.f64 (+.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (+.f64 (exp.f64 (log.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)))) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4))))) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7))))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))))) | |
| 1.7b | (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) 3) (sqrt.f64 2)) (*.f64 (+.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4))))) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7))))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))))) | |
| 1.4b | (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (exp.f64 (log.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4))))))) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7))))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))))) |
Compiled 15974 to 11103 computations (30.5% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 1.0b | (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4))) | |
| 1.0b | (sqrt.f64 (PI.f64)) | |
| ✓ | 1.6b | (expm1.f64 (log1p.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4))))) |
| 2.8b | (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | z | @ | inf | (expm1.f64 (log1p.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4))))) |
| 1.0ms | z | @ | -inf | (expm1.f64 (log1p.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4))))) |
| 1.0ms | z | @ | 0 | (expm1.f64 (log1p.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4))))) |
| 1× | batch-egg-rewrite |
| 306× | rules-34-rev_binary64 |
| 141× | add-sqr-sqrt_binary64 |
| 138× | expm1-log1p-u_binary64 |
| 137× | log1p-expm1-u_binary64 |
| 136× | add-exp-log_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 20 |
| 1 | 333 | 16 |
| 2 | 4172 | 16 |
| 1× | node limit |
| Inputs |
|---|
(expm1.f64 (log1p.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4))))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 3)) (/.f64 -883075145810703/5000000000000 (+.f64 z 4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 4)) (/.f64 7713234287776531/10000000000000 (+.f64 z 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 3)) (/.f64 -883075145810703/5000000000000 (+.f64 z 4))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 3)) (/.f64 -883075145810703/5000000000000 (+.f64 z 4))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 4)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 3)) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 3)) (neg.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 4))))))) (#(struct:change #<rule 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7713234287776531/10000000000000 (+.f64 z 3)) (/.f64 -883075145810703/5000000000000 (+.f64 z 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 3)) (/.f64 -883075145810703/5000000000000 (+.f64 z 4))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 3)) (/.f64 -883075145810703/5000000000000 (+.f64 z 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 3)) (/.f64 -883075145810703/5000000000000 (+.f64 z 4)))) (pow.f64 (cbrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 3)) (/.f64 -883075145810703/5000000000000 (+.f64 z 4)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 3)) (/.f64 -883075145810703/5000000000000 (+.f64 z 4)))) 2) (cbrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 3)) (/.f64 -883075145810703/5000000000000 (+.f64 z 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 4))) 2) (+.f64 (cbrt.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 4))) (/.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 3)) (pow.f64 (cbrt.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 4))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 3))) 2) (+.f64 (cbrt.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 3))) (/.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 4)) (pow.f64 (cbrt.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 3))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 3)) (/.f64 -883075145810703/5000000000000 (+.f64 z 4)))) (sqrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 3)) (/.f64 -883075145810703/5000000000000 (+.f64 z 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 4))) (+.f64 (sqrt.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 4))) (/.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 3)) (sqrt.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 4))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 3))) (+.f64 (sqrt.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 3))) (/.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 4)) (sqrt.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 z z (-.f64 16 (*.f64 z 4))) (/.f64 (+.f64 -883075145810703/5000000000000 (*.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 3)) (+.f64 z 4))) (+.f64 64 (pow.f64 z 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 3)) (/.f64 -883075145810703/5000000000000 (+.f64 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| 1× | egg-herbie |
| 847× | rules-12-rev_binary64 |
| 456× | rules-21_binary64 |
| 236× | rules-13_binary64 |
| 211× | fma-def_binary64 |
| 192× | rules-15-rev_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 45 | 195 |
| 1 | 151 | 191 |
| 2 | 605 | 189 |
| 3 | 3300 | 189 |
| 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 222980468271960011/8640000000000000 (pow.f64 z 2)) (+.f64 (*.f64 53758197989915921/720000000000000 z) (*.f64 36630596080989161/4147200000000000 (pow.f64 z 3))))) |
(/.f64 -47576671969241/80000000000 z) |
(neg.f64 (+.f64 (*.f64 16075101696843969/10000000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 47576671969241/80000000000 (/.f64 1 z)))) |
(neg.f64 (+.f64 (*.f64 16075101696843969/10000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (*.f64 41160703924046283/10000000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 47576671969241/80000000000 (/.f64 1 z))))) |
(neg.f64 (+.f64 (*.f64 16075101696843969/10000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (*.f64 41160703924046283/10000000000000 (/.f64 1 (pow.f64 z 3))) (+.f64 (*.f64 95223707106196353/10000000000000 (/.f64 1 (pow.f64 z 4))) (*.f64 47576671969241/80000000000 (/.f64 1 z)))))) |
(/.f64 -47576671969241/80000000000 z) |
(neg.f64 (+.f64 (*.f64 16075101696843969/10000000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 47576671969241/80000000000 (/.f64 1 z)))) |
(neg.f64 (+.f64 (*.f64 16075101696843969/10000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (*.f64 41160703924046283/10000000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 47576671969241/80000000000 (/.f64 1 z))))) |
(neg.f64 (+.f64 (*.f64 16075101696843969/10000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (*.f64 41160703924046283/10000000000000 (/.f64 1 (pow.f64 z 3))) (+.f64 (*.f64 95223707106196353/10000000000000 (/.f64 1 (pow.f64 z 4))) (*.f64 47576671969241/80000000000 (/.f64 1 z)))))) |
| 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))) |
(fma.f64 222980468271960011/8640000000000000 (*.f64 z z) (fma.f64 53758197989915921/720000000000000 z 12777243138120953/60000000000000)) |
(fma.f64 53758197989915921/720000000000000 z (*.f64 222980468271960011/8640000000000000 (fma.f64 z z 1839923011889417232/222980468271960011))) |
(+.f64 12777243138120953/60000000000000 (+.f64 (*.f64 222980468271960011/8640000000000000 (pow.f64 z 2)) (+.f64 (*.f64 53758197989915921/720000000000000 z) (*.f64 36630596080989161/4147200000000000 (pow.f64 z 3))))) |
(+.f64 12777243138120953/60000000000000 (fma.f64 222980468271960011/8640000000000000 (*.f64 z z) (fma.f64 53758197989915921/720000000000000 z (*.f64 36630596080989161/4147200000000000 (pow.f64 z 3))))) |
(+.f64 12777243138120953/60000000000000 (fma.f64 53758197989915921/720000000000000 z (fma.f64 36630596080989161/4147200000000000 (pow.f64 z 3) (*.f64 z (*.f64 z 222980468271960011/8640000000000000))))) |
(fma.f64 z (*.f64 z 222980468271960011/8640000000000000) (fma.f64 36630596080989161/4147200000000000 (fma.f64 z 7741180510547892624/915764902024729025 (pow.f64 z 3)) 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 (neg.f64 (/.f64 47576671969241/80000000000 z)) (/.f64 16075101696843969/10000000000000 (*.f64 z z))) |
(neg.f64 (+.f64 (*.f64 16075101696843969/10000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (*.f64 41160703924046283/10000000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 47576671969241/80000000000 (/.f64 1 z))))) |
(neg.f64 (+.f64 (/.f64 16075101696843969/10000000000000 (*.f64 z z)) (+.f64 (/.f64 47576671969241/80000000000 z) (/.f64 41160703924046283/10000000000000 (pow.f64 z 3))))) |
(-.f64 (neg.f64 (/.f64 16075101696843969/10000000000000 (*.f64 z z))) (+.f64 (/.f64 47576671969241/80000000000 z) (/.f64 41160703924046283/10000000000000 (pow.f64 z 3)))) |
(neg.f64 (+.f64 (*.f64 16075101696843969/10000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (*.f64 41160703924046283/10000000000000 (/.f64 1 (pow.f64 z 3))) (+.f64 (*.f64 95223707106196353/10000000000000 (/.f64 1 (pow.f64 z 4))) (*.f64 47576671969241/80000000000 (/.f64 1 z)))))) |
(neg.f64 (+.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)))))) |
(neg.f64 (+.f64 (/.f64 16075101696843969/10000000000000 (*.f64 z z)) (+.f64 (/.f64 47576671969241/80000000000 z) (+.f64 (/.f64 41160703924046283/10000000000000 (pow.f64 z 3)) (/.f64 95223707106196353/10000000000000 (pow.f64 z 4)))))) |
(-.f64 (neg.f64 (/.f64 16075101696843969/10000000000000 (*.f64 z z))) (+.f64 (/.f64 47576671969241/80000000000 z) (+.f64 (/.f64 41160703924046283/10000000000000 (pow.f64 z 3)) (/.f64 95223707106196353/10000000000000 (pow.f64 z 4))))) |
(-.f64 (-.f64 (-.f64 (neg.f64 (/.f64 95223707106196353/10000000000000 (pow.f64 z 4))) (/.f64 47576671969241/80000000000 z)) (/.f64 41160703924046283/10000000000000 (pow.f64 z 3))) (/.f64 16075101696843969/10000000000000 (*.f64 z 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 z z)) (/.f64 47576671969241/80000000000 z))) |
(-.f64 (neg.f64 (/.f64 47576671969241/80000000000 z)) (/.f64 16075101696843969/10000000000000 (*.f64 z z))) |
(neg.f64 (+.f64 (*.f64 16075101696843969/10000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (*.f64 41160703924046283/10000000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 47576671969241/80000000000 (/.f64 1 z))))) |
(neg.f64 (+.f64 (/.f64 16075101696843969/10000000000000 (*.f64 z z)) (+.f64 (/.f64 47576671969241/80000000000 z) (/.f64 41160703924046283/10000000000000 (pow.f64 z 3))))) |
(-.f64 (neg.f64 (/.f64 16075101696843969/10000000000000 (*.f64 z z))) (+.f64 (/.f64 47576671969241/80000000000 z) (/.f64 41160703924046283/10000000000000 (pow.f64 z 3)))) |
(neg.f64 (+.f64 (*.f64 16075101696843969/10000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (*.f64 41160703924046283/10000000000000 (/.f64 1 (pow.f64 z 3))) (+.f64 (*.f64 95223707106196353/10000000000000 (/.f64 1 (pow.f64 z 4))) (*.f64 47576671969241/80000000000 (/.f64 1 z)))))) |
(neg.f64 (+.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)))))) |
(neg.f64 (+.f64 (/.f64 16075101696843969/10000000000000 (*.f64 z z)) (+.f64 (/.f64 47576671969241/80000000000 z) (+.f64 (/.f64 41160703924046283/10000000000000 (pow.f64 z 3)) (/.f64 95223707106196353/10000000000000 (pow.f64 z 4)))))) |
(-.f64 (neg.f64 (/.f64 16075101696843969/10000000000000 (*.f64 z z))) (+.f64 (/.f64 47576671969241/80000000000 z) (+.f64 (/.f64 41160703924046283/10000000000000 (pow.f64 z 3)) (/.f64 95223707106196353/10000000000000 (pow.f64 z 4))))) |
(-.f64 (-.f64 (-.f64 (neg.f64 (/.f64 95223707106196353/10000000000000 (pow.f64 z 4))) (/.f64 47576671969241/80000000000 z)) (/.f64 41160703924046283/10000000000000 (pow.f64 z 3))) (/.f64 16075101696843969/10000000000000 (*.f64 z z))) |
7 alts after pruning (4 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 153 | 1 | 154 |
| Fresh | 1 | 3 | 4 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 2 | 2 |
| Total | 154 | 7 | 161 |
| Status | Error | Program |
|---|---|---|
| ✓ | 1.0b | (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (+.f64 (exp.f64 (log.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)))) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4))))) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7))))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))))) |
| ✓ | 1.4b | (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (*.f64 (+.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (expm1.f64 (log1p.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4))))))) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7))))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))))) |
| ✓ | 0.5b | (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (*.f64 (+.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4))))) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7))))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))))) |
| 2.0b | (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (cbrt.f64 (pow.f64 (PI.f64) 3/2)) (sqrt.f64 2)) (*.f64 (+.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (expm1.f64 (log1p.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4))))))) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7))))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))))) | |
| 2.4b | (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 2 (PI.f64)))) (cbrt.f64 (sqrt.f64 (*.f64 2 (PI.f64))))) (cbrt.f64 (sqrt.f64 (*.f64 2 (PI.f64))))) (*.f64 (+.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (+.f64 (exp.f64 (log.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)))) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4))))) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7))))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))))) | |
| 1.7b | (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) 3) (sqrt.f64 2)) (*.f64 (+.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4))))) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7))))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))))) | |
| 1.4b | (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (exp.f64 (log.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4))))))) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7))))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))))) |
Compiled 14631 to 10033 computations (31.4% saved)
Total 0.2b remaining (40.3%)
Threshold costs 0.2b (40.3%)
Compiled 17846 to 13304 computations (25.5% saved)
| 1× | egg-herbie |
| 1× | 1-exp_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 63 | 137 |
| 1 | 65 | 137 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (*.f64 (+.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4))))) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7))))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))))) |
| Outputs |
|---|
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (*.f64 (+.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4))))) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7))))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))))) |
| 1× | fuel |
Compiled 799 to 590 computations (26.2% saved)
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