Time bar (total: 14.5s)
| 1× | search |
| True | Other | False | Iter |
|---|---|---|---|
| 0% | 100% | 0% | 0 |
| 0% | 100% | 0% | 1 |
| 0% | 100% | 0% | 2 |
| 0% | 75% | 25% | 3 |
| 0% | 62.5% | 37.5% | 4 |
| 0% | 56.2% | 43.8% | 5 |
| 3.1% | 46.9% | 50% | 6 |
| 3.1% | 45.3% | 51.6% | 7 |
| 3.1% | 44.5% | 52.4% | 8 |
| 3.5% | 44.1% | 52.4% | 9 |
| 3.7% | 43.9% | 52.4% | 10 |
| 3.8% | 43.8% | 52.4% | 11 |
| 3.8% | 43.8% | 52.4% | 12 |
| 3.8% | 43.8% | 52.4% | 13 |
| 3.8% | 43.7% | 52.4% | 14 |
Compiled 39 to 31 computations (20.5% saved)
| 3.4s | 4031× | body | 1024 | valid |
| 3.2s | 3936× | body | 1024 | invalid |
| 1.2s | 2049× | body | 512 | valid |
| 1.2s | 2037× | body | 512 | invalid |
| 866.0ms | 536× | body | 2048 | valid |
| 412.0ms | 986× | body | 256 | valid |
| 406.0ms | 1011× | body | 256 | invalid |
| 156.0ms | 654× | body | 128 | valid |
| 3.0ms | 3× | body | 2048 | invalid |
| 0.0ms | 1× | body | 128 | invalid |
Compiled 78 to 62 computations (20.5% saved)
| 2× | egg-herbie |
| 569× | fma-def_binary64 |
| 323× | fma-neg_binary64 |
| 202× | distribute-rgt-in_binary64 |
| 192× | cancel-sign-sub-inv_binary64 |
| 175× | distribute-lft-in_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 17 | 64 |
| 1 | 49 | 61 |
| 2 | 122 | 59 |
| 3 | 326 | 55 |
| 4 | 975 | 55 |
| 5 | 2553 | 55 |
| 0 | 1 | 1 |
| 1× | saturated |
| 1× | node limit |
| Inputs |
|---|
0 |
| Outputs |
|---|
0 |
| Inputs |
|---|
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))))))) |
| Outputs |
|---|
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))))))) |
(*.f64 (neg.f64 (*.f64 (/.f64 1 (PI.f64)) 4)) (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (exp.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (exp.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f))))))) |
(*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) (neg.f64 f))) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) (neg.f64 f))))) (neg.f64 (/.f64 4 (PI.f64)))) |
(*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) (neg.f64 f))) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) (neg.f64 f))))) (/.f64 -4 (PI.f64))) |
(*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 f) (/.f64 (PI.f64) 4)) (exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f)))) (-.f64 (pow.f64 (exp.f64 f) (/.f64 (PI.f64) 4)) (exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f)))))) (/.f64 -4 (PI.f64))) |
(*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 (*.f64 -1/4 (PI.f64))) f)) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 (*.f64 -1/4 (PI.f64))) f)))) (/.f64 -4 (PI.f64))) |
(*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (/.f64 -4 (PI.f64))) |
Compiled 38 to 30 computations (21.1% saved)
| 1× | egg-herbie |
| 569× | fma-def_binary64 |
| 323× | fma-neg_binary64 |
| 202× | distribute-rgt-in_binary64 |
| 192× | cancel-sign-sub-inv_binary64 |
| 175× | distribute-lft-in_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 17 | 64 |
| 1 | 49 | 61 |
| 2 | 122 | 59 |
| 3 | 326 | 55 |
| 4 | 975 | 55 |
| 5 | 2553 | 55 |
| 1× | node limit |
| Inputs |
|---|
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))))))) |
| Outputs |
|---|
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))))))) |
(*.f64 (neg.f64 (*.f64 (/.f64 1 (PI.f64)) 4)) (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (exp.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (exp.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f))))))) |
(*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) (neg.f64 f))) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) (neg.f64 f))))) (neg.f64 (/.f64 4 (PI.f64)))) |
(*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) (neg.f64 f))) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) (neg.f64 f))))) (/.f64 -4 (PI.f64))) |
(*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 f) (/.f64 (PI.f64) 4)) (exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f)))) (-.f64 (pow.f64 (exp.f64 f) (/.f64 (PI.f64) 4)) (exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f)))))) (/.f64 -4 (PI.f64))) |
(*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 (*.f64 -1/4 (PI.f64))) f)) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 (*.f64 -1/4 (PI.f64))) f)))) (/.f64 -4 (PI.f64))) |
(*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (/.f64 -4 (PI.f64))) |
1 alts after pruning (1 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 | 1 | 2 |
| Fresh | 1 | 0 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 0 | 0 |
| Total | 2 | 1 | 3 |
| Status | Error | Program |
|---|---|---|
| ▶ | 61.5b | (*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (/.f64 -4 (PI.f64))) |
Compiled 136 to 100 computations (26.5% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.1b | (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) |
| ✓ | 0.2b | (*.f64 (PI.f64) f) |
| ✓ | 1.2b | (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))) |
| ✓ | 6.7b | (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 36.0ms | f | @ | inf | (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) |
| 30.0ms | f | @ | -inf | (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) |
| 6.0ms | f | @ | 0 | (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) |
| 1.0ms | f | @ | 0 | (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) |
| 1.0ms | f | @ | 0 | (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))) |
| 1× | batch-egg-rewrite |
| 717× | prod-diff_binary64 |
| 164× | add-sqr-sqrt_binary64 |
| 161× | pow1_binary64 |
| 160× | add-log-exp_binary64 |
| 159× | *-un-lft-identity_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 121 |
| 1 | 331 | 121 |
| 2 | 4439 | 121 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) |
(/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))) |
(*.f64 (PI.f64) f) |
(log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (*.f64 (PI.f64) (*.f64 1/4 f))) (neg.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (*.f64 (PI.f64) (*.f64 1/4 f))) (*.f64 (neg.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (exp.f64 (*.f64 (PI.f64) (*.f64 1/4 f))) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (fma.f64 (neg.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) 1 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (exp.f64 (*.f64 (PI.f64) (*.f64 1/4 f))) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))) (cbrt.f64 (pow.f64 (exp.f64 -1/2) (*.f64 (PI.f64) f))) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (exp.f64 (*.f64 (PI.f64) (*.f64 1/4 f))) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (fma.f64 (neg.f64 (sqrt.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))) (sqrt.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (exp.f64 (*.f64 (PI.f64) (*.f64 1/4 f))) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (fma.f64 -1 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (exp.f64 (*.f64 (PI.f64) (*.f64 1/4 f))) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/2) (*.f64 (PI.f64) f)))) (cbrt.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (exp.f64 (*.f64 (PI.f64) (*.f64 1/4 f))) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (fma.f64 (neg.f64 (pow.f64 (sqrt.f64 (exp.f64 -1/4)) (*.f64 (PI.f64) f))) (pow.f64 (sqrt.f64 (exp.f64 -1/4)) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (exp.f64 (*.f64 (PI.f64) (*.f64 1/4 f))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (exp.f64 (*.f64 (PI.f64) (*.f64 1/4 f))) 1 (neg.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))) (fma.f64 (neg.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) 1 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (exp.f64 (*.f64 (PI.f64) (*.f64 1/4 f))) 1 (neg.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))) (cbrt.f64 (pow.f64 (exp.f64 -1/2) (*.f64 (PI.f64) f))) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (exp.f64 (*.f64 (PI.f64) (*.f64 1/4 f))) 1 (neg.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))) (fma.f64 (neg.f64 (sqrt.f64 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| 1× | egg-herbie |
| 580× | distribute-rgt-neg-in_binary64 |
| 551× | fma-neg_binary64 |
| 473× | associate-*r*_binary64 |
| 468× | associate-*l*_binary64 |
| 342× | fma-def_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 83 | 1344 |
| 1 | 242 | 1338 |
| 2 | 749 | 1334 |
| 3 | 3584 | 1334 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 1/2 (*.f64 f (PI.f64))) |
(+.f64 (*.f64 1/192 (*.f64 (pow.f64 f 3) (pow.f64 (PI.f64) 3))) (*.f64 1/2 (*.f64 f (PI.f64)))) |
(+.f64 (*.f64 1/192 (*.f64 (pow.f64 f 3) (pow.f64 (PI.f64) 3))) (+.f64 (*.f64 1/61440 (*.f64 (pow.f64 f 5) (pow.f64 (PI.f64) 5))) (*.f64 1/2 (*.f64 f (PI.f64))))) |
(+.f64 (*.f64 1/192 (*.f64 (pow.f64 f 3) (pow.f64 (PI.f64) 3))) (+.f64 (*.f64 1/61440 (*.f64 (pow.f64 f 5) (pow.f64 (PI.f64) 5))) (+.f64 (*.f64 1/41287680 (*.f64 (pow.f64 f 7) (pow.f64 (PI.f64) 7))) (*.f64 1/2 (*.f64 f (PI.f64)))))) |
(-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))) |
(-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))) |
(-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))) |
(-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))) |
(-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))) |
(-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))) |
(-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))) |
(-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))) |
(/.f64 4 (*.f64 f (PI.f64))) |
(+.f64 (*.f64 4 (/.f64 1 (*.f64 f (PI.f64)))) (*.f64 1/12 (*.f64 f (PI.f64)))) |
(-.f64 (+.f64 (*.f64 4 (/.f64 1 (*.f64 f (PI.f64)))) (*.f64 1/12 (*.f64 f (PI.f64)))) (*.f64 1/2880 (*.f64 (pow.f64 f 3) (pow.f64 (PI.f64) 3)))) |
(-.f64 (+.f64 (*.f64 1/483840 (*.f64 (pow.f64 f 5) (pow.f64 (PI.f64) 5))) (+.f64 (*.f64 4 (/.f64 1 (*.f64 f (PI.f64)))) (*.f64 1/12 (*.f64 f (PI.f64))))) (*.f64 1/2880 (*.f64 (pow.f64 f 3) (pow.f64 (PI.f64) 3)))) |
(/.f64 (+.f64 (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))))) |
(/.f64 (+.f64 (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))))) |
(/.f64 (+.f64 (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))))) |
(/.f64 (+.f64 (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))))) |
(/.f64 (+.f64 (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))))) |
(/.f64 (+.f64 (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))))) |
(/.f64 (+.f64 (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))))) |
(/.f64 (+.f64 (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))))) |
(*.f64 f (PI.f64)) |
(*.f64 f (PI.f64)) |
(*.f64 f (PI.f64)) |
(*.f64 f (PI.f64)) |
(*.f64 f (PI.f64)) |
(*.f64 f (PI.f64)) |
(*.f64 f (PI.f64)) |
(*.f64 f (PI.f64)) |
(*.f64 f (PI.f64)) |
(*.f64 f (PI.f64)) |
(*.f64 f (PI.f64)) |
(*.f64 f (PI.f64)) |
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) |
(-.f64 (+.f64 (*.f64 1/48 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 2))) (log.f64 (/.f64 4 (PI.f64)))) (log.f64 f)) |
(-.f64 (+.f64 (*.f64 1/48 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 2))) (log.f64 (/.f64 4 (PI.f64)))) (+.f64 (*.f64 7/23040 (*.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 4))) (log.f64 f))) |
(-.f64 (+.f64 (*.f64 1/48 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 2))) (+.f64 (*.f64 31/5806080 (*.f64 (pow.f64 f 6) (pow.f64 (PI.f64) 6))) (log.f64 (/.f64 4 (PI.f64))))) (+.f64 (*.f64 7/23040 (*.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 4))) (log.f64 f))) |
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))))) |
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))))) |
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))))) |
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))))) |
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))))) |
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))))) |
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))))) |
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))))) |
| Outputs |
|---|
(*.f64 1/2 (*.f64 f (PI.f64))) |
(+.f64 (*.f64 1/192 (*.f64 (pow.f64 f 3) (pow.f64 (PI.f64) 3))) (*.f64 1/2 (*.f64 f (PI.f64)))) |
(fma.f64 1/192 (*.f64 (pow.f64 f 3) (pow.f64 (PI.f64) 3)) (*.f64 1/2 (*.f64 f (PI.f64)))) |
(+.f64 (*.f64 1/192 (*.f64 (pow.f64 f 3) (pow.f64 (PI.f64) 3))) (+.f64 (*.f64 1/61440 (*.f64 (pow.f64 f 5) (pow.f64 (PI.f64) 5))) (*.f64 1/2 (*.f64 f (PI.f64))))) |
(fma.f64 1/192 (*.f64 (pow.f64 f 3) (pow.f64 (PI.f64) 3)) (fma.f64 1/61440 (*.f64 (pow.f64 f 5) (pow.f64 (PI.f64) 5)) (*.f64 1/2 (*.f64 f (PI.f64))))) |
(fma.f64 1/192 (*.f64 (pow.f64 f 3) (pow.f64 (PI.f64) 3)) (fma.f64 1/2 (*.f64 f (PI.f64)) (*.f64 1/61440 (*.f64 (pow.f64 f 5) (pow.f64 (PI.f64) 5))))) |
(fma.f64 (pow.f64 (PI.f64) 3) (*.f64 1/192 (pow.f64 f 3)) (fma.f64 1/2 (*.f64 f (PI.f64)) (*.f64 1/61440 (*.f64 (pow.f64 f 5) (pow.f64 (PI.f64) 5))))) |
(+.f64 (*.f64 1/192 (*.f64 (pow.f64 f 3) (pow.f64 (PI.f64) 3))) (+.f64 (*.f64 1/61440 (*.f64 (pow.f64 f 5) (pow.f64 (PI.f64) 5))) (+.f64 (*.f64 1/41287680 (*.f64 (pow.f64 f 7) (pow.f64 (PI.f64) 7))) (*.f64 1/2 (*.f64 f (PI.f64)))))) |
(fma.f64 1/192 (*.f64 (pow.f64 f 3) (pow.f64 (PI.f64) 3)) (fma.f64 1/61440 (*.f64 (pow.f64 f 5) (pow.f64 (PI.f64) 5)) (fma.f64 1/41287680 (*.f64 (pow.f64 f 7) (pow.f64 (PI.f64) 7)) (*.f64 1/2 (*.f64 f (PI.f64)))))) |
(fma.f64 1/192 (*.f64 (pow.f64 f 3) (pow.f64 (PI.f64) 3)) (fma.f64 1/61440 (*.f64 (pow.f64 f 5) (pow.f64 (PI.f64) 5)) (fma.f64 1/2 (*.f64 f (PI.f64)) (*.f64 1/41287680 (*.f64 (pow.f64 f 7) (pow.f64 (PI.f64) 7)))))) |
(fma.f64 1/192 (*.f64 (pow.f64 f 3) (pow.f64 (PI.f64) 3)) (fma.f64 1/2 (*.f64 f (PI.f64)) (fma.f64 1/61440 (*.f64 (pow.f64 f 5) (pow.f64 (PI.f64) 5)) (*.f64 1/41287680 (*.f64 (pow.f64 f 7) (pow.f64 (PI.f64) 7)))))) |
(-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))) |
(-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))) |
(-.f64 (exp.f64 (*.f64 (*.f64 1/4 (PI.f64)) f)) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))) |
(-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))) |
(-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))) |
(-.f64 (exp.f64 (*.f64 (*.f64 1/4 (PI.f64)) f)) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))) |
(-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))) |
(-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))) |
(-.f64 (exp.f64 (*.f64 (*.f64 1/4 (PI.f64)) f)) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))) |
(-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))) |
(-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))) |
(-.f64 (exp.f64 (*.f64 (*.f64 1/4 (PI.f64)) f)) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))) |
(-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))) |
(-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))) |
(-.f64 (exp.f64 (*.f64 (*.f64 1/4 (PI.f64)) f)) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))) |
(-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))) |
(-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))) |
(-.f64 (exp.f64 (*.f64 (*.f64 1/4 (PI.f64)) f)) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))) |
(-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))) |
(-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))) |
(-.f64 (exp.f64 (*.f64 (*.f64 1/4 (PI.f64)) f)) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))) |
(-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))) |
(-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))) |
(-.f64 (exp.f64 (*.f64 (*.f64 1/4 (PI.f64)) f)) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))) |
(/.f64 4 (*.f64 f (PI.f64))) |
(+.f64 (*.f64 4 (/.f64 1 (*.f64 f (PI.f64)))) (*.f64 1/12 (*.f64 f (PI.f64)))) |
(+.f64 (/.f64 4 (*.f64 f (PI.f64))) (*.f64 (*.f64 f (PI.f64)) 1/12)) |
(fma.f64 (*.f64 f (PI.f64)) 1/12 (/.f64 4 (*.f64 f (PI.f64)))) |
(fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 4 (*.f64 f (PI.f64)))) |
(-.f64 (+.f64 (*.f64 4 (/.f64 1 (*.f64 f (PI.f64)))) (*.f64 1/12 (*.f64 f (PI.f64)))) (*.f64 1/2880 (*.f64 (pow.f64 f 3) (pow.f64 (PI.f64) 3)))) |
(+.f64 (/.f64 4 (*.f64 f (PI.f64))) (-.f64 (*.f64 (*.f64 f (PI.f64)) 1/12) (*.f64 (*.f64 1/2880 (pow.f64 f 3)) (pow.f64 (PI.f64) 3)))) |
(+.f64 (/.f64 4 (*.f64 f (PI.f64))) (fma.f64 (*.f64 f (PI.f64)) 1/12 (*.f64 (*.f64 (pow.f64 f 3) (pow.f64 (PI.f64) 3)) -1/2880))) |
(fma.f64 (*.f64 (pow.f64 f 3) (pow.f64 (PI.f64) 3)) -1/2880 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 4 (*.f64 f (PI.f64))))) |
(-.f64 (+.f64 (*.f64 1/483840 (*.f64 (pow.f64 f 5) (pow.f64 (PI.f64) 5))) (+.f64 (*.f64 4 (/.f64 1 (*.f64 f (PI.f64)))) (*.f64 1/12 (*.f64 f (PI.f64))))) (*.f64 1/2880 (*.f64 (pow.f64 f 3) (pow.f64 (PI.f64) 3)))) |
(+.f64 (fma.f64 1/483840 (*.f64 (pow.f64 f 5) (pow.f64 (PI.f64) 5)) (+.f64 (/.f64 4 (*.f64 f (PI.f64))) (*.f64 (*.f64 f (PI.f64)) 1/12))) (*.f64 -1/2880 (*.f64 (pow.f64 f 3) (pow.f64 (PI.f64) 3)))) |
(+.f64 (fma.f64 (*.f64 (pow.f64 f 5) (pow.f64 (PI.f64) 5)) 1/483840 (/.f64 4 (*.f64 f (PI.f64)))) (fma.f64 (*.f64 f (PI.f64)) 1/12 (*.f64 (*.f64 (pow.f64 f 3) (pow.f64 (PI.f64) 3)) -1/2880))) |
(fma.f64 (*.f64 (pow.f64 f 3) (pow.f64 (PI.f64) 3)) -1/2880 (fma.f64 f (*.f64 (PI.f64) 1/12) (fma.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/483840) (/.f64 4 (*.f64 f (PI.f64)))))) |
(/.f64 (+.f64 (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))))) |
(/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64))))) |
(/.f64 (+.f64 (exp.f64 (*.f64 (*.f64 1/4 (PI.f64)) f)) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))) (-.f64 (exp.f64 (*.f64 (*.f64 1/4 (PI.f64)) f)) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64))))) |
(/.f64 (+.f64 (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))))) |
(/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64))))) |
(/.f64 (+.f64 (exp.f64 (*.f64 (*.f64 1/4 (PI.f64)) f)) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))) (-.f64 (exp.f64 (*.f64 (*.f64 1/4 (PI.f64)) f)) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64))))) |
(/.f64 (+.f64 (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))))) |
(/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64))))) |
(/.f64 (+.f64 (exp.f64 (*.f64 (*.f64 1/4 (PI.f64)) f)) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))) (-.f64 (exp.f64 (*.f64 (*.f64 1/4 (PI.f64)) f)) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64))))) |
(/.f64 (+.f64 (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))))) |
(/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64))))) |
(/.f64 (+.f64 (exp.f64 (*.f64 (*.f64 1/4 (PI.f64)) f)) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))) (-.f64 (exp.f64 (*.f64 (*.f64 1/4 (PI.f64)) f)) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64))))) |
(/.f64 (+.f64 (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))))) |
(/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64))))) |
(/.f64 (+.f64 (exp.f64 (*.f64 (*.f64 1/4 (PI.f64)) f)) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))) (-.f64 (exp.f64 (*.f64 (*.f64 1/4 (PI.f64)) f)) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64))))) |
(/.f64 (+.f64 (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))))) |
(/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64))))) |
(/.f64 (+.f64 (exp.f64 (*.f64 (*.f64 1/4 (PI.f64)) f)) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))) (-.f64 (exp.f64 (*.f64 (*.f64 1/4 (PI.f64)) f)) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64))))) |
(/.f64 (+.f64 (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))))) |
(/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64))))) |
(/.f64 (+.f64 (exp.f64 (*.f64 (*.f64 1/4 (PI.f64)) f)) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))) (-.f64 (exp.f64 (*.f64 (*.f64 1/4 (PI.f64)) f)) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64))))) |
(/.f64 (+.f64 (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))))) |
(/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64))))) |
(/.f64 (+.f64 (exp.f64 (*.f64 (*.f64 1/4 (PI.f64)) f)) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))) (-.f64 (exp.f64 (*.f64 (*.f64 1/4 (PI.f64)) f)) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64))))) |
(*.f64 f (PI.f64)) |
(*.f64 f (PI.f64)) |
(*.f64 f (PI.f64)) |
(*.f64 f (PI.f64)) |
(*.f64 f (PI.f64)) |
(*.f64 f (PI.f64)) |
(*.f64 f (PI.f64)) |
(*.f64 f (PI.f64)) |
(*.f64 f (PI.f64)) |
(*.f64 f (PI.f64)) |
(*.f64 f (PI.f64)) |
(*.f64 f (PI.f64)) |
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) |
(-.f64 (+.f64 (*.f64 1/48 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 2))) (log.f64 (/.f64 4 (PI.f64)))) (log.f64 f)) |
(-.f64 (fma.f64 1/48 (*.f64 (*.f64 f f) (pow.f64 (PI.f64) 2)) (log.f64 (/.f64 4 (PI.f64)))) (log.f64 f)) |
(-.f64 (fma.f64 1/48 (*.f64 f (*.f64 f (pow.f64 (PI.f64) 2))) (log.f64 (/.f64 4 (PI.f64)))) (log.f64 f)) |
(-.f64 (+.f64 (*.f64 1/48 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 2))) (log.f64 (/.f64 4 (PI.f64)))) (+.f64 (*.f64 7/23040 (*.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 4))) (log.f64 f))) |
(-.f64 (fma.f64 1/48 (*.f64 (*.f64 f f) (pow.f64 (PI.f64) 2)) (log.f64 (/.f64 4 (PI.f64)))) (fma.f64 7/23040 (*.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 4)) (log.f64 f))) |
(-.f64 (fma.f64 1/48 (*.f64 f (*.f64 f (pow.f64 (PI.f64) 2))) (log.f64 (/.f64 4 (PI.f64)))) (fma.f64 7/23040 (*.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 4)) (log.f64 f))) |
(-.f64 (+.f64 (*.f64 1/48 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 2))) (+.f64 (*.f64 31/5806080 (*.f64 (pow.f64 f 6) (pow.f64 (PI.f64) 6))) (log.f64 (/.f64 4 (PI.f64))))) (+.f64 (*.f64 7/23040 (*.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 4))) (log.f64 f))) |
(-.f64 (fma.f64 1/48 (*.f64 (*.f64 f f) (pow.f64 (PI.f64) 2)) (fma.f64 31/5806080 (*.f64 (pow.f64 f 6) (pow.f64 (PI.f64) 6)) (log.f64 (/.f64 4 (PI.f64))))) (fma.f64 7/23040 (*.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 4)) (log.f64 f))) |
(-.f64 (fma.f64 1/48 (*.f64 f (*.f64 f (pow.f64 (PI.f64) 2))) (fma.f64 31/5806080 (*.f64 (pow.f64 f 6) (pow.f64 (PI.f64) 6)) (log.f64 (/.f64 4 (PI.f64))))) (fma.f64 7/23040 (*.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 4)) (log.f64 f))) |
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))))) |
(log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))))) |
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (*.f64 1/4 (PI.f64)) f)) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))) (-.f64 (exp.f64 (*.f64 (*.f64 1/4 (PI.f64)) f)) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))))) |
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))))) |
(log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))))) |
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (*.f64 1/4 (PI.f64)) f)) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))) (-.f64 (exp.f64 (*.f64 (*.f64 1/4 (PI.f64)) f)) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))))) |
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))))) |
(log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))))) |
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (*.f64 1/4 (PI.f64)) f)) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))) (-.f64 (exp.f64 (*.f64 (*.f64 1/4 (PI.f64)) f)) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))))) |
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))))) |
(log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))))) |
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (*.f64 1/4 (PI.f64)) f)) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))) (-.f64 (exp.f64 (*.f64 (*.f64 1/4 (PI.f64)) f)) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))))) |
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))))) |
(log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))))) |
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (*.f64 1/4 (PI.f64)) f)) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))) (-.f64 (exp.f64 (*.f64 (*.f64 1/4 (PI.f64)) f)) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))))) |
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))))) |
(log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))))) |
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (*.f64 1/4 (PI.f64)) f)) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))) (-.f64 (exp.f64 (*.f64 (*.f64 1/4 (PI.f64)) f)) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))))) |
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))))) |
(log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))))) |
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (*.f64 1/4 (PI.f64)) f)) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))) (-.f64 (exp.f64 (*.f64 (*.f64 1/4 (PI.f64)) f)) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))))) |
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))))) |
(log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))))) |
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (*.f64 1/4 (PI.f64)) f)) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))) (-.f64 (exp.f64 (*.f64 (*.f64 1/4 (PI.f64)) f)) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))))) |
6 alts after pruning (6 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 217 | 6 | 223 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 218 | 6 | 224 |
| Status | Error | Program |
|---|---|---|
| ▶ | 2.4b | (*.f64 (log.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 4 (*.f64 f (PI.f64))))) (/.f64 -4 (PI.f64))) |
| 61.5b | (*.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (PI.f64) (*.f64 1/4 f))) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (exp.f64 (*.f64 (PI.f64) (*.f64 1/4 f))) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))))) 3) (/.f64 -4 (PI.f64))) | |
| 61.5b | (*.f64 (-.f64 (exp.f64 (log1p.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (PI.f64) (*.f64 1/4 f))) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (exp.f64 (*.f64 (PI.f64) (*.f64 1/4 f))) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))))) 1) (/.f64 -4 (PI.f64))) | |
| 63.6b | (*.f64 (+.f64 (fma.f64 1 (log.f64 (+.f64 (exp.f64 (*.f64 (PI.f64) (*.f64 1/4 f))) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))) (neg.f64 (log.f64 (-.f64 (exp.f64 (*.f64 (PI.f64) (*.f64 1/4 f))) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))))) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 (-.f64 (exp.f64 (*.f64 (PI.f64) (*.f64 1/4 f))) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))))) (sqrt.f64 (log.f64 (-.f64 (exp.f64 (*.f64 (PI.f64) (*.f64 1/4 f))) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (log.f64 (-.f64 (exp.f64 (*.f64 (PI.f64) (*.f64 1/4 f))) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))))) (/.f64 -4 (PI.f64))) | |
| 61.6b | (*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (+.f64 (fma.f64 (cbrt.f64 (exp.f64 (*.f64 (PI.f64) (*.f64 1/4 f)))) (cbrt.f64 (pow.f64 (exp.f64 (*.f64 (PI.f64) (*.f64 1/4 f))) 2)) (neg.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))) (cbrt.f64 (pow.f64 (exp.f64 -1/2) (*.f64 (PI.f64) f))) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))))) (/.f64 -4 (PI.f64))) | |
| 2.5b | (*.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (/.f64 -4 (PI.f64))) |
Compiled 11592 to 7787 computations (32.8% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.2b | (*.f64 f (PI.f64)) |
| ✓ | 0.3b | (/.f64 4 (*.f64 f (PI.f64))) |
| ✓ | 0.4b | (*.f64 (log.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 4 (*.f64 f (PI.f64))))) (/.f64 -4 (PI.f64))) |
| ✓ | 1.0b | (*.f64 (PI.f64) 1/12) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | f | @ | inf | (*.f64 (log.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 4 (*.f64 f (PI.f64))))) (/.f64 -4 (PI.f64))) |
| 2.0ms | f | @ | 0 | (*.f64 (log.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 4 (*.f64 f (PI.f64))))) (/.f64 -4 (PI.f64))) |
| 2.0ms | f | @ | -inf | (*.f64 (log.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 4 (*.f64 f (PI.f64))))) (/.f64 -4 (PI.f64))) |
| 1.0ms | f | @ | inf | (/.f64 4 (*.f64 f (PI.f64))) |
| 0.0ms | f | @ | 0 | (/.f64 4 (*.f64 f (PI.f64))) |
| 1× | batch-egg-rewrite |
| 627× | log-prod_binary64 |
| 236× | expm1-udef_binary64 |
| 236× | log1p-udef_binary64 |
| 196× | log-pow_binary64 |
| 146× | prod-diff_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 43 |
| 1 | 275 | 43 |
| 2 | 3283 | 43 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (PI.f64) 1/12) |
(*.f64 (log.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 4 (*.f64 f (PI.f64))))) (/.f64 -4 (PI.f64))) |
(/.f64 4 (*.f64 f (PI.f64))) |
(*.f64 f (PI.f64)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (PI.f64) 1/12))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 1/12) (PI.f64))) (cbrt.f64 (pow.f64 (exp.f64 1/12) (PI.f64))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 1/12) (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/12) (PI.f64)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/12) (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (PI.f64) 1/12))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (PI.f64) 1/12) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (PI.f64) 1/12) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/12)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (PI.f64) 1/12)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (PI.f64) 1/12) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/12) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) 1/12))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (PI.f64) 1/12) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (PI.f64) 1/12)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (PI.f64) 1/12)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (PI.f64) 1/12)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (PI.f64) 1/12))))))) |
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (PI.f64) f))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 f) (PI.f64))) (cbrt.f64 (pow.f64 (exp.f64 f) (PI.f64))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 f) (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 f) (PI.f64)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 f) (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (PI.f64) f))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (PI.f64) f) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (PI.f64) f) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (PI.f64) f)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (PI.f64) f)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (PI.f64) f) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 f) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) f))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (PI.f64) f) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (PI.f64) 3) (pow.f64 f 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 f 3) (pow.f64 (PI.f64) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (PI.f64) f)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (PI.f64) f)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (PI.f64) f)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (PI.f64) f))))))) |
| 1× | egg-herbie |
| 736× | fma-neg_binary64 |
| 308× | sub-neg_binary64 |
| 300× | unswap-sqr_binary64 |
| 200× | fma-def_binary64 |
| 183× | associate-*l*_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 92 | 564 |
| 1 | 273 | 555 |
| 2 | 847 | 546 |
| 3 | 3052 | 537 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))) |
(-.f64 (*.f64 4 (/.f64 (log.f64 f) (PI.f64))) (+.f64 (*.f64 1/12 (*.f64 (pow.f64 f 2) (PI.f64))) (*.f64 4 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64))))) |
(-.f64 (+.f64 (*.f64 4 (/.f64 (log.f64 f) (PI.f64))) (*.f64 1/1152 (*.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 3)))) (+.f64 (*.f64 1/12 (*.f64 (pow.f64 f 2) (PI.f64))) (*.f64 4 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64))))) |
(-.f64 (+.f64 (*.f64 4 (/.f64 (log.f64 f) (PI.f64))) (*.f64 1/1152 (*.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 3)))) (+.f64 (*.f64 1/12 (*.f64 (pow.f64 f 2) (PI.f64))) (+.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64))) (*.f64 1/82944 (*.f64 (pow.f64 f 6) (pow.f64 (PI.f64) 5)))))) |
(*.f64 -4 (/.f64 (-.f64 (log.f64 (*.f64 1/12 (PI.f64))) (log.f64 (/.f64 1 f))) (PI.f64))) |
(-.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 1 f)) (PI.f64))) (+.f64 (*.f64 192 (/.f64 1 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 3)))) (*.f64 4 (/.f64 (log.f64 (*.f64 1/12 (PI.f64))) (PI.f64))))) |
(-.f64 (+.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 1 f)) (PI.f64))) (*.f64 4608 (/.f64 1 (*.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 5))))) (+.f64 (*.f64 192 (/.f64 1 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 3)))) (*.f64 4 (/.f64 (log.f64 (*.f64 1/12 (PI.f64))) (PI.f64))))) |
(-.f64 (+.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 1 f)) (PI.f64))) (*.f64 4608 (/.f64 1 (*.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 5))))) (+.f64 (*.f64 192 (/.f64 1 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 3)))) (+.f64 (*.f64 147456 (/.f64 1 (*.f64 (pow.f64 f 6) (pow.f64 (PI.f64) 7)))) (*.f64 4 (/.f64 (log.f64 (*.f64 1/12 (PI.f64))) (PI.f64)))))) |
(*.f64 -4 (/.f64 (-.f64 (log.f64 (neg.f64 (*.f64 1/12 (PI.f64)))) (log.f64 (/.f64 -1 f))) (PI.f64))) |
(-.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 -1 f)) (PI.f64))) (+.f64 (*.f64 4 (/.f64 (log.f64 (neg.f64 (*.f64 1/12 (PI.f64)))) (PI.f64))) (*.f64 192 (/.f64 1 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 3)))))) |
(-.f64 (+.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 -1 f)) (PI.f64))) (*.f64 4608 (/.f64 1 (*.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 5))))) (+.f64 (*.f64 4 (/.f64 (log.f64 (neg.f64 (*.f64 1/12 (PI.f64)))) (PI.f64))) (*.f64 192 (/.f64 1 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 3)))))) |
(-.f64 (+.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 -1 f)) (PI.f64))) (*.f64 4608 (/.f64 1 (*.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 5))))) (+.f64 (*.f64 4 (/.f64 (log.f64 (neg.f64 (*.f64 1/12 (PI.f64)))) (PI.f64))) (+.f64 (*.f64 192 (/.f64 1 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 3)))) (*.f64 147456 (/.f64 1 (*.f64 (pow.f64 f 6) (pow.f64 (PI.f64) 7))))))) |
| Outputs |
|---|
(*.f64 -4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))) |
(-.f64 (*.f64 4 (/.f64 (log.f64 f) (PI.f64))) (+.f64 (*.f64 1/12 (*.f64 (pow.f64 f 2) (PI.f64))) (*.f64 4 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64))))) |
(-.f64 (*.f64 4 (/.f64 (log.f64 f) (PI.f64))) (fma.f64 1/12 (*.f64 (PI.f64) (*.f64 f f)) (*.f64 4 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64))))) |
(-.f64 (*.f64 4 (/.f64 (log.f64 f) (PI.f64))) (fma.f64 1/12 (*.f64 (PI.f64) (*.f64 f f)) (/.f64 (*.f64 4 (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))) |
(+.f64 (*.f64 4 (-.f64 (/.f64 (log.f64 f) (PI.f64)) (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)))) (*.f64 (*.f64 f (*.f64 (PI.f64) f)) -1/12)) |
(fma.f64 4 (-.f64 (/.f64 (log.f64 f) (PI.f64)) (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64))) (*.f64 (*.f64 f (*.f64 (PI.f64) f)) -1/12)) |
(-.f64 (+.f64 (*.f64 4 (/.f64 (log.f64 f) (PI.f64))) (*.f64 1/1152 (*.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 3)))) (+.f64 (*.f64 1/12 (*.f64 (pow.f64 f 2) (PI.f64))) (*.f64 4 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64))))) |
(-.f64 (fma.f64 4 (/.f64 (log.f64 f) (PI.f64)) (*.f64 (*.f64 1/1152 (pow.f64 f 4)) (pow.f64 (PI.f64) 3))) (fma.f64 1/12 (*.f64 (PI.f64) (*.f64 f f)) (*.f64 4 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64))))) |
(-.f64 (fma.f64 4 (/.f64 (log.f64 f) (PI.f64)) (*.f64 1/1152 (*.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 3)))) (fma.f64 1/12 (*.f64 (PI.f64) (*.f64 f f)) (/.f64 (*.f64 4 (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))) |
(fma.f64 1/1152 (*.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 3)) (+.f64 (*.f64 4 (-.f64 (/.f64 (log.f64 f) (PI.f64)) (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)))) (*.f64 (*.f64 f (*.f64 (PI.f64) f)) -1/12))) |
(fma.f64 1/1152 (*.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 3)) (fma.f64 4 (-.f64 (/.f64 (log.f64 f) (PI.f64)) (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64))) (*.f64 (*.f64 f (*.f64 (PI.f64) f)) -1/12))) |
(-.f64 (+.f64 (*.f64 4 (/.f64 (log.f64 f) (PI.f64))) (*.f64 1/1152 (*.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 3)))) (+.f64 (*.f64 1/12 (*.f64 (pow.f64 f 2) (PI.f64))) (+.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64))) (*.f64 1/82944 (*.f64 (pow.f64 f 6) (pow.f64 (PI.f64) 5)))))) |
(-.f64 (fma.f64 4 (/.f64 (log.f64 f) (PI.f64)) (*.f64 (*.f64 1/1152 (pow.f64 f 4)) (pow.f64 (PI.f64) 3))) (fma.f64 1/12 (*.f64 (PI.f64) (*.f64 f f)) (fma.f64 4 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)) (*.f64 1/82944 (*.f64 (pow.f64 f 6) (pow.f64 (PI.f64) 5)))))) |
(-.f64 (fma.f64 4 (/.f64 (log.f64 f) (PI.f64)) (*.f64 1/1152 (*.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 3)))) (fma.f64 1/12 (*.f64 (PI.f64) (*.f64 f f)) (fma.f64 (*.f64 1/82944 (pow.f64 f 6)) (pow.f64 (PI.f64) 5) (/.f64 (*.f64 4 (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))))) |
(fma.f64 1/1152 (*.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 3)) (-.f64 (*.f64 4 (-.f64 (/.f64 (log.f64 f) (PI.f64)) (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)))) (fma.f64 (pow.f64 f 6) (*.f64 1/82944 (pow.f64 (PI.f64) 5)) (*.f64 f (*.f64 (*.f64 (PI.f64) f) 1/12))))) |
(fma.f64 1/1152 (*.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 3)) (fma.f64 4 (-.f64 (/.f64 (log.f64 f) (PI.f64)) (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64))) (fma.f64 (PI.f64) (*.f64 (*.f64 f f) -1/12) (*.f64 (*.f64 (pow.f64 f 6) (pow.f64 (PI.f64) 5)) -1/82944)))) |
(*.f64 -4 (/.f64 (-.f64 (log.f64 (*.f64 1/12 (PI.f64))) (log.f64 (/.f64 1 f))) (PI.f64))) |
(*.f64 -4 (/.f64 (-.f64 (log.f64 (*.f64 (PI.f64) 1/12)) (neg.f64 (log.f64 f))) (PI.f64))) |
(*.f64 -4 (/.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 (PI.f64) 1/12))) (PI.f64))) |
(*.f64 (/.f64 -4 (PI.f64)) (+.f64 (log.f64 f) (log.f64 (*.f64 (PI.f64) 1/12)))) |
(-.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 1 f)) (PI.f64))) (+.f64 (*.f64 192 (/.f64 1 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 3)))) (*.f64 4 (/.f64 (log.f64 (*.f64 1/12 (PI.f64))) (PI.f64))))) |
(-.f64 (*.f64 4 (/.f64 (neg.f64 (log.f64 f)) (PI.f64))) (+.f64 (/.f64 192 (*.f64 (*.f64 f f) (pow.f64 (PI.f64) 3))) (*.f64 4 (/.f64 (log.f64 (*.f64 (PI.f64) 1/12)) (PI.f64))))) |
(-.f64 (*.f64 4 (/.f64 (neg.f64 (log.f64 f)) (PI.f64))) (fma.f64 4 (/.f64 (log.f64 (*.f64 (PI.f64) 1/12)) (PI.f64)) (/.f64 (/.f64 192 (*.f64 f f)) (pow.f64 (PI.f64) 3)))) |
(-.f64 (/.f64 (*.f64 -4 (log.f64 f)) (PI.f64)) (fma.f64 4 (/.f64 (log.f64 (*.f64 (PI.f64) 1/12)) (PI.f64)) (/.f64 192 (*.f64 f (*.f64 f (pow.f64 (PI.f64) 3)))))) |
(fma.f64 4 (-.f64 (/.f64 (neg.f64 (log.f64 f)) (PI.f64)) (/.f64 (log.f64 (*.f64 (PI.f64) 1/12)) (PI.f64))) (/.f64 (/.f64 -192 (*.f64 f f)) (pow.f64 (PI.f64) 3))) |
(-.f64 (+.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 1 f)) (PI.f64))) (*.f64 4608 (/.f64 1 (*.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 5))))) (+.f64 (*.f64 192 (/.f64 1 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 3)))) (*.f64 4 (/.f64 (log.f64 (*.f64 1/12 (PI.f64))) (PI.f64))))) |
(-.f64 (fma.f64 4 (/.f64 (neg.f64 (log.f64 f)) (PI.f64)) (/.f64 4608 (*.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 5)))) (+.f64 (/.f64 192 (*.f64 (*.f64 f f) (pow.f64 (PI.f64) 3))) (*.f64 4 (/.f64 (log.f64 (*.f64 (PI.f64) 1/12)) (PI.f64))))) |
(-.f64 (fma.f64 4 (/.f64 (neg.f64 (log.f64 f)) (PI.f64)) (/.f64 4608 (*.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 5)))) (fma.f64 4 (/.f64 (log.f64 (*.f64 (PI.f64) 1/12)) (PI.f64)) (/.f64 (/.f64 192 (*.f64 f f)) (pow.f64 (PI.f64) 3)))) |
(+.f64 (/.f64 4608 (*.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 5))) (-.f64 (/.f64 (*.f64 -4 (log.f64 f)) (PI.f64)) (fma.f64 4 (/.f64 (log.f64 (*.f64 (PI.f64) 1/12)) (PI.f64)) (/.f64 192 (*.f64 f (*.f64 f (pow.f64 (PI.f64) 3))))))) |
(+.f64 (/.f64 4608 (*.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 5))) (fma.f64 4 (-.f64 (/.f64 (neg.f64 (log.f64 f)) (PI.f64)) (/.f64 (log.f64 (*.f64 (PI.f64) 1/12)) (PI.f64))) (/.f64 (/.f64 -192 (*.f64 f f)) (pow.f64 (PI.f64) 3)))) |
(-.f64 (+.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 1 f)) (PI.f64))) (*.f64 4608 (/.f64 1 (*.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 5))))) (+.f64 (*.f64 192 (/.f64 1 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 3)))) (+.f64 (*.f64 147456 (/.f64 1 (*.f64 (pow.f64 f 6) (pow.f64 (PI.f64) 7)))) (*.f64 4 (/.f64 (log.f64 (*.f64 1/12 (PI.f64))) (PI.f64)))))) |
(-.f64 (fma.f64 4 (/.f64 (neg.f64 (log.f64 f)) (PI.f64)) (/.f64 4608 (*.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 5)))) (+.f64 (+.f64 (/.f64 192 (*.f64 (*.f64 f f) (pow.f64 (PI.f64) 3))) (/.f64 147456 (*.f64 (pow.f64 f 6) (pow.f64 (PI.f64) 7)))) (*.f64 4 (/.f64 (log.f64 (*.f64 (PI.f64) 1/12)) (PI.f64))))) |
(-.f64 (fma.f64 4 (/.f64 (neg.f64 (log.f64 f)) (PI.f64)) (/.f64 4608 (*.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 5)))) (+.f64 (/.f64 (/.f64 192 (*.f64 f f)) (pow.f64 (PI.f64) 3)) (fma.f64 4 (/.f64 (log.f64 (*.f64 (PI.f64) 1/12)) (PI.f64)) (/.f64 147456 (*.f64 (pow.f64 f 6) (pow.f64 (PI.f64) 7)))))) |
(+.f64 (/.f64 (*.f64 -4 (log.f64 f)) (PI.f64)) (-.f64 (-.f64 (/.f64 4608 (*.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 5))) (/.f64 192 (*.f64 f (*.f64 f (pow.f64 (PI.f64) 3))))) (fma.f64 4 (/.f64 (log.f64 (*.f64 (PI.f64) 1/12)) (PI.f64)) (/.f64 147456 (*.f64 (pow.f64 f 6) (pow.f64 (PI.f64) 7)))))) |
(+.f64 (+.f64 (/.f64 4608 (*.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 5))) (fma.f64 4 (-.f64 (/.f64 (neg.f64 (log.f64 f)) (PI.f64)) (/.f64 (log.f64 (*.f64 (PI.f64) 1/12)) (PI.f64))) (/.f64 (/.f64 -192 (*.f64 f f)) (pow.f64 (PI.f64) 3)))) (/.f64 -147456 (*.f64 (pow.f64 f 6) (pow.f64 (PI.f64) 7)))) |
(*.f64 -4 (/.f64 (-.f64 (log.f64 (neg.f64 (*.f64 1/12 (PI.f64)))) (log.f64 (/.f64 -1 f))) (PI.f64))) |
(*.f64 -4 (/.f64 (-.f64 (log.f64 (*.f64 -1/12 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64))) |
(*.f64 -4 (/.f64 (-.f64 (log.f64 (*.f64 (PI.f64) -1/12)) (log.f64 (/.f64 -1 f))) (PI.f64))) |
(*.f64 (/.f64 -4 (PI.f64)) (-.f64 (log.f64 (*.f64 (PI.f64) -1/12)) (log.f64 (/.f64 -1 f)))) |
(-.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 -1 f)) (PI.f64))) (+.f64 (*.f64 4 (/.f64 (log.f64 (neg.f64 (*.f64 1/12 (PI.f64)))) (PI.f64))) (*.f64 192 (/.f64 1 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 3)))))) |
(-.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 -1 f)) (PI.f64))) (fma.f64 4 (/.f64 (log.f64 (*.f64 -1/12 (PI.f64))) (PI.f64)) (/.f64 192 (*.f64 (*.f64 f f) (pow.f64 (PI.f64) 3))))) |
(-.f64 (*.f64 4 (-.f64 (/.f64 (log.f64 (/.f64 -1 f)) (PI.f64)) (/.f64 (log.f64 (*.f64 (PI.f64) -1/12)) (PI.f64)))) (/.f64 (/.f64 192 (*.f64 f f)) (pow.f64 (PI.f64) 3))) |
(fma.f64 4 (-.f64 (/.f64 (log.f64 (/.f64 -1 f)) (PI.f64)) (/.f64 (log.f64 (*.f64 (PI.f64) -1/12)) (PI.f64))) (/.f64 -192 (*.f64 f (*.f64 f (pow.f64 (PI.f64) 3))))) |
(fma.f64 4 (-.f64 (/.f64 (log.f64 (/.f64 -1 f)) (PI.f64)) (/.f64 (log.f64 (*.f64 (PI.f64) -1/12)) (PI.f64))) (/.f64 (/.f64 -192 (*.f64 f f)) (pow.f64 (PI.f64) 3))) |
(-.f64 (+.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 -1 f)) (PI.f64))) (*.f64 4608 (/.f64 1 (*.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 5))))) (+.f64 (*.f64 4 (/.f64 (log.f64 (neg.f64 (*.f64 1/12 (PI.f64)))) (PI.f64))) (*.f64 192 (/.f64 1 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 3)))))) |
(-.f64 (fma.f64 4 (/.f64 (log.f64 (/.f64 -1 f)) (PI.f64)) (/.f64 4608 (*.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 5)))) (fma.f64 4 (/.f64 (log.f64 (*.f64 -1/12 (PI.f64))) (PI.f64)) (/.f64 192 (*.f64 (*.f64 f f) (pow.f64 (PI.f64) 3))))) |
(-.f64 (fma.f64 4 (/.f64 (log.f64 (/.f64 -1 f)) (PI.f64)) (/.f64 4608 (*.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 5)))) (fma.f64 4 (/.f64 (log.f64 (*.f64 (PI.f64) -1/12)) (PI.f64)) (/.f64 (/.f64 192 (*.f64 f f)) (pow.f64 (PI.f64) 3)))) |
(+.f64 (/.f64 4608 (*.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 5))) (fma.f64 4 (-.f64 (/.f64 (log.f64 (/.f64 -1 f)) (PI.f64)) (/.f64 (log.f64 (*.f64 (PI.f64) -1/12)) (PI.f64))) (/.f64 -192 (*.f64 f (*.f64 f (pow.f64 (PI.f64) 3)))))) |
(+.f64 (/.f64 4608 (*.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 5))) (fma.f64 4 (-.f64 (/.f64 (log.f64 (/.f64 -1 f)) (PI.f64)) (/.f64 (log.f64 (*.f64 (PI.f64) -1/12)) (PI.f64))) (/.f64 (/.f64 -192 (*.f64 f f)) (pow.f64 (PI.f64) 3)))) |
(-.f64 (+.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 -1 f)) (PI.f64))) (*.f64 4608 (/.f64 1 (*.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 5))))) (+.f64 (*.f64 4 (/.f64 (log.f64 (neg.f64 (*.f64 1/12 (PI.f64)))) (PI.f64))) (+.f64 (*.f64 192 (/.f64 1 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 3)))) (*.f64 147456 (/.f64 1 (*.f64 (pow.f64 f 6) (pow.f64 (PI.f64) 7))))))) |
(-.f64 (fma.f64 4 (/.f64 (log.f64 (/.f64 -1 f)) (PI.f64)) (/.f64 4608 (*.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 5)))) (+.f64 (fma.f64 4 (/.f64 (log.f64 (*.f64 -1/12 (PI.f64))) (PI.f64)) (/.f64 192 (*.f64 (*.f64 f f) (pow.f64 (PI.f64) 3)))) (/.f64 147456 (*.f64 (pow.f64 f 6) (pow.f64 (PI.f64) 7))))) |
(-.f64 (fma.f64 4 (/.f64 (log.f64 (/.f64 -1 f)) (PI.f64)) (/.f64 4608 (*.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 5)))) (+.f64 (/.f64 147456 (*.f64 (pow.f64 f 6) (pow.f64 (PI.f64) 7))) (fma.f64 4 (/.f64 (log.f64 (*.f64 (PI.f64) -1/12)) (PI.f64)) (/.f64 (/.f64 192 (*.f64 f f)) (pow.f64 (PI.f64) 3))))) |
(+.f64 (/.f64 4608 (*.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 5))) (+.f64 (fma.f64 4 (-.f64 (/.f64 (log.f64 (/.f64 -1 f)) (PI.f64)) (/.f64 (log.f64 (*.f64 (PI.f64) -1/12)) (PI.f64))) (/.f64 -192 (*.f64 f (*.f64 f (pow.f64 (PI.f64) 3))))) (/.f64 -147456 (*.f64 (pow.f64 f 6) (pow.f64 (PI.f64) 7))))) |
(+.f64 (/.f64 4608 (*.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 5))) (+.f64 (fma.f64 4 (-.f64 (/.f64 (log.f64 (/.f64 -1 f)) (PI.f64)) (/.f64 (log.f64 (*.f64 (PI.f64) -1/12)) (PI.f64))) (/.f64 (/.f64 -192 (*.f64 f f)) (pow.f64 (PI.f64) 3))) (/.f64 -147456 (*.f64 (pow.f64 f 6) (pow.f64 (PI.f64) 7))))) |
12 alts after pruning (12 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 103 | 7 | 110 |
| Fresh | 0 | 5 | 5 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 104 | 12 | 116 |
| Status | Error | Program |
|---|---|---|
| 61.6b | (*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (+.f64 (fma.f64 (cbrt.f64 (exp.f64 (*.f64 (PI.f64) (*.f64 1/4 f)))) (cbrt.f64 (pow.f64 (exp.f64 (*.f64 (PI.f64) (*.f64 1/4 f))) 2)) (neg.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))) (cbrt.f64 (pow.f64 (exp.f64 -1/2) (*.f64 (PI.f64) f))) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))))) (/.f64 -4 (PI.f64))) | |
| ▶ | 2.3b | (/.f64 (*.f64 (log.f64 (fma.f64 (*.f64 (PI.f64) 1/12) f (/.f64 4 (*.f64 (PI.f64) f)))) -4) (PI.f64)) |
| 2.5b | (*.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (/.f64 -4 (PI.f64))) | |
| 2.4b | (/.f64 1 (/.f64 (PI.f64) (*.f64 (log.f64 (fma.f64 (*.f64 (PI.f64) 1/12) f (/.f64 4 (*.f64 (PI.f64) f)))) -4))) | |
| 12.0b | (+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (fma.f64 (*.f64 (PI.f64) 1/12) f (/.f64 4 (*.f64 (PI.f64) f))) (/.f64 -4 (PI.f64)))) (cbrt.f64 (pow.f64 (fma.f64 (*.f64 (PI.f64) 1/12) f (/.f64 4 (*.f64 (PI.f64) f))) (/.f64 -4 (PI.f64)))))) (log.f64 (cbrt.f64 (pow.f64 (fma.f64 (*.f64 (PI.f64) 1/12) f (/.f64 4 (*.f64 (PI.f64) f))) (/.f64 -4 (PI.f64)))))) | |
| 63.0b | (*.f64 -4 (/.f64 (-.f64 (log.f64 (*.f64 1/12 (PI.f64))) (log.f64 (/.f64 1 f))) (PI.f64))) | |
| 2.3b | (-.f64 (*.f64 4 (/.f64 (log.f64 f) (PI.f64))) (+.f64 (*.f64 1/12 (*.f64 (pow.f64 f 2) (PI.f64))) (*.f64 4 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64))))) | |
| 61.5b | (*.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (PI.f64) (*.f64 1/4 f))) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (exp.f64 (*.f64 (PI.f64) (*.f64 1/4 f))) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))))) 3) (/.f64 -4 (PI.f64))) | |
| 61.5b | (*.f64 (-.f64 (exp.f64 (log1p.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (PI.f64) (*.f64 1/4 f))) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (exp.f64 (*.f64 (PI.f64) (*.f64 1/4 f))) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))))) 1) (/.f64 -4 (PI.f64))) | |
| 2.7b | (cbrt.f64 (pow.f64 (*.f64 (log.f64 (fma.f64 (*.f64 (PI.f64) 1/12) f (/.f64 4 (*.f64 (PI.f64) f)))) (/.f64 -4 (PI.f64))) 3)) | |
| 63.6b | (*.f64 (+.f64 (fma.f64 1 (log.f64 (+.f64 (exp.f64 (*.f64 (PI.f64) (*.f64 1/4 f))) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))) (neg.f64 (log.f64 (-.f64 (exp.f64 (*.f64 (PI.f64) (*.f64 1/4 f))) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))))) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 (-.f64 (exp.f64 (*.f64 (PI.f64) (*.f64 1/4 f))) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))))) (sqrt.f64 (log.f64 (-.f64 (exp.f64 (*.f64 (PI.f64) (*.f64 1/4 f))) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (log.f64 (-.f64 (exp.f64 (*.f64 (PI.f64) (*.f64 1/4 f))) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))))) (/.f64 -4 (PI.f64))) | |
| 3.2b | (pow.f64 (cbrt.f64 (*.f64 (log.f64 (fma.f64 (*.f64 (PI.f64) 1/12) f (/.f64 4 (*.f64 (PI.f64) f)))) (/.f64 -4 (PI.f64)))) 3) |
Compiled 3169 to 2184 computations (31.1% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.2b | (*.f64 (PI.f64) f) | |
| ✓ | 0.3b | (/.f64 4 (*.f64 (PI.f64) f)) |
| ✓ | 0.4b | (/.f64 (*.f64 (log.f64 (fma.f64 (*.f64 (PI.f64) 1/12) f (/.f64 4 (*.f64 (PI.f64) f)))) -4) (PI.f64)) |
| 1.0b | (*.f64 (PI.f64) 1/12) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | f | @ | 0 | (/.f64 (*.f64 (log.f64 (fma.f64 (*.f64 (PI.f64) 1/12) f (/.f64 4 (*.f64 (PI.f64) f)))) -4) (PI.f64)) |
| 1.0ms | f | @ | inf | (/.f64 (*.f64 (log.f64 (fma.f64 (*.f64 (PI.f64) 1/12) f (/.f64 4 (*.f64 (PI.f64) f)))) -4) (PI.f64)) |
| 1.0ms | f | @ | -inf | (/.f64 (*.f64 (log.f64 (fma.f64 (*.f64 (PI.f64) 1/12) f (/.f64 4 (*.f64 (PI.f64) f)))) -4) (PI.f64)) |
| 0.0ms | f | @ | inf | (/.f64 4 (*.f64 (PI.f64) f)) |
| 0.0ms | f | @ | 0 | (/.f64 4 (*.f64 (PI.f64) f)) |
| 1× | batch-egg-rewrite |
| 238× | expm1-udef_binary64 |
| 238× | log1p-udef_binary64 |
| 197× | log-pow_binary64 |
| 155× | prod-diff_binary64 |
| 143× | log-div_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 33 |
| 1 | 275 | 33 |
| 2 | 3405 | 33 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (*.f64 (log.f64 (fma.f64 (*.f64 (PI.f64) 1/12) f (/.f64 4 (*.f64 (PI.f64) f)))) -4) (PI.f64)) |
(/.f64 4 (*.f64 (PI.f64) f)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 -4 (/.f64 (log.f64 (fma.f64 (PI.f64) (*.f64 1/12 f) (/.f64 4 (*.f64 (PI.f64) f)))) (PI.f64))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (fma.f64 (PI.f64) (*.f64 1/12 f) (/.f64 4 (*.f64 (PI.f64) f)))) (/.f64 1 (*.f64 (PI.f64) -1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (fma.f64 (PI.f64) (*.f64 1/12 f) (/.f64 4 (*.f64 (PI.f64) f)))) (*.f64 -4 (/.f64 1 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -4 (/.f64 (log.f64 (fma.f64 (PI.f64) (*.f64 1/12 f) (/.f64 4 (*.f64 (PI.f64) f)))) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -4 (*.f64 (log.f64 (fma.f64 (PI.f64) (*.f64 1/12 f) (/.f64 4 (*.f64 (PI.f64) f)))) (/.f64 1 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log.f64 (fma.f64 (PI.f64) (*.f64 1/12 f) (/.f64 4 (*.f64 (PI.f64) f)))) -4) (/.f64 1 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -4 (/.f64 (log.f64 (fma.f64 (PI.f64) (*.f64 1/12 f) (/.f64 4 (*.f64 (PI.f64) f)))) (PI.f64))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 -4 (/.f64 (log.f64 (fma.f64 (PI.f64) (*.f64 1/12 f) (/.f64 4 (*.f64 (PI.f64) f)))) (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (log.f64 (fma.f64 (PI.f64) (*.f64 1/12 f) (/.f64 4 (*.f64 (PI.f64) f)))) -4)) 2) (*.f64 (cbrt.f64 (*.f64 (log.f64 (fma.f64 (PI.f64) (*.f64 1/12 f) (/.f64 4 (*.f64 (PI.f64) f)))) -4)) (/.f64 1 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 -4 (/.f64 (log.f64 (fma.f64 (PI.f64) (*.f64 1/12 f) (/.f64 4 (*.f64 (PI.f64) f)))) (PI.f64)))) (pow.f64 (cbrt.f64 (*.f64 -4 (/.f64 (log.f64 (fma.f64 (PI.f64) (*.f64 1/12 f) (/.f64 4 (*.f64 (PI.f64) f)))) (PI.f64)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 -4 (/.f64 (log.f64 (fma.f64 (PI.f64) (*.f64 1/12 f) (/.f64 4 (*.f64 (PI.f64) f)))) (PI.f64)))) 2) (cbrt.f64 (*.f64 -4 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(/.f64 (log.f64 (fma.f64 (PI.f64) (*.f64 1/12 f) (/.f64 4 (*.f64 (PI.f64) f)))) 1) (/.f64 -4 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (log.f64 (fma.f64 (PI.f64) (*.f64 1/12 f) (/.f64 4 (*.f64 (PI.f64) f)))) (PI.f64)) -4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (log.f64 (fma.f64 (PI.f64) (*.f64 1/12 f) (/.f64 4 (*.f64 (PI.f64) f)))) -4)) 2) 1) (/.f64 (cbrt.f64 (*.f64 (log.f64 (fma.f64 (PI.f64) (*.f64 1/12 f) (/.f64 4 (*.f64 (PI.f64) f)))) -4)) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 (log.f64 (fma.f64 (PI.f64) (*.f64 1/12 f) (/.f64 4 (*.f64 (PI.f64) f)))) -4)) 1) (/.f64 (sqrt.f64 (*.f64 (log.f64 (fma.f64 (PI.f64) (*.f64 1/12 f) (/.f64 4 (*.f64 (PI.f64) f)))) -4)) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (log.f64 (fma.f64 (PI.f64) (*.f64 1/12 f) (/.f64 4 (*.f64 (PI.f64) f)))) (pow.f64 (cbrt.f64 (PI.f64)) 2)) (/.f64 -4 (cbrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -4 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (/.f64 (log.f64 (fma.f64 (PI.f64) (*.f64 1/12 f) (/.f64 4 (*.f64 (PI.f64) f)))) (cbrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (/.f64 (*.f64 (log.f64 (fma.f64 (PI.f64) (*.f64 1/12 f) (/.f64 4 (*.f64 (PI.f64) f)))) -4) (cbrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (log.f64 (fma.f64 (PI.f64) (*.f64 1/12 f) (/.f64 4 (*.f64 (PI.f64) f)))) -4)) 2) (pow.f64 (cbrt.f64 (PI.f64)) 2)) (cbrt.f64 (*.f64 -4 (/.f64 (log.f64 (fma.f64 (PI.f64) (*.f64 1/12 f) (/.f64 4 (*.f64 (PI.f64) f)))) (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 (log.f64 (fma.f64 (PI.f64) (*.f64 1/12 f) (/.f64 4 (*.f64 (PI.f64) f)))) -4)) (pow.f64 (cbrt.f64 (PI.f64)) 2)) (/.f64 (sqrt.f64 (*.f64 (log.f64 (fma.f64 (PI.f64) (*.f64 1/12 f) (/.f64 4 (*.f64 (PI.f64) f)))) -4)) (cbrt.f64 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(*.f64 (PI.f64) f)))) (PI.f64))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 -4 (/.f64 (log.f64 (fma.f64 (PI.f64) (*.f64 1/12 f) (/.f64 4 (*.f64 (PI.f64) f)))) (PI.f64))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 -4 (/.f64 (log.f64 (fma.f64 (PI.f64) (*.f64 1/12 f) (/.f64 4 (*.f64 (PI.f64) f)))) (PI.f64)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 -4 (/.f64 (log.f64 (fma.f64 (PI.f64) (*.f64 1/12 f) (/.f64 4 (*.f64 (PI.f64) f)))) (PI.f64)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 (PI.f64) -1/4) (log.f64 (fma.f64 (PI.f64) (*.f64 1/12 f) (/.f64 4 (*.f64 (PI.f64) f))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 (log.f64 (fma.f64 (PI.f64) (*.f64 1/12 f) (/.f64 4 (*.f64 (PI.f64) f)))) -4) (neg.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 -4 (/.f64 (log.f64 (fma.f64 (PI.f64) (*.f64 1/12 f) (/.f64 4 (*.f64 (PI.f64) f)))) (PI.f64))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (fma.f64 (PI.f64) (*.f64 1/12 f) (/.f64 4 (*.f64 (PI.f64) f))) -4) (/.f64 1 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 -4 (/.f64 (log.f64 (fma.f64 (PI.f64) (*.f64 1/12 f) (/.f64 4 (*.f64 (PI.f64) f)))) (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 -4 (/.f64 (log.f64 (fma.f64 (PI.f64) (*.f64 1/12 f) (/.f64 4 (*.f64 (PI.f64) f)))) (PI.f64))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 (log.f64 (fma.f64 (PI.f64) (*.f64 1/12 f) (/.f64 4 (*.f64 (PI.f64) f)))) -4) 3) (pow.f64 (PI.f64) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -4 (/.f64 (log.f64 (fma.f64 (PI.f64) (*.f64 1/12 f) (/.f64 4 (*.f64 (PI.f64) f)))) (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -4 (/.f64 (log.f64 (fma.f64 (PI.f64) (*.f64 1/12 f) (/.f64 4 (*.f64 (PI.f64) f)))) (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 -4 (/.f64 (log.f64 (fma.f64 (PI.f64) (*.f64 1/12 f) (/.f64 4 (*.f64 (PI.f64) f)))) (PI.f64)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -4 (/.f64 (log.f64 (fma.f64 (PI.f64) (*.f64 1/12 f) (/.f64 4 (*.f64 (PI.f64) f)))) (PI.f64))))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 4 (*.f64 (PI.f64) f)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 1 (*.f64 (PI.f64) f)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 4 (*.f64 (PI.f64) f)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -4 (/.f64 1 (*.f64 (PI.f64) (neg.f64 f))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 4 (*.f64 (PI.f64) f)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 4 (*.f64 (PI.f64) f))) (cbrt.f64 (/.f64 16 (pow.f64 (*.f64 (PI.f64) f) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 16 (pow.f64 (*.f64 (PI.f64) f) 2))) (cbrt.f64 (/.f64 4 (*.f64 (PI.f64) f))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (sqrt.f64 (*.f64 (PI.f64) f))) (/.f64 2 (sqrt.f64 (*.f64 (PI.f64) f))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (PI.f64) f)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 4 (PI.f64)) (/.f64 1 f))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 4 (*.f64 (PI.f64) f))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 2 (sqrt.f64 (*.f64 (PI.f64) f))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 (PI.f64) f) 1/4) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 16 (pow.f64 (*.f64 (PI.f64) f) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 4 (*.f64 (PI.f64) f))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 4 (*.f64 (PI.f64) f)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 4 (*.f64 (PI.f64) f))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 4 (*.f64 (PI.f64) f)))))))) |
| 1× | egg-herbie |
| 736× | fma-neg_binary64 |
| 309× | sub-neg_binary64 |
| 300× | unswap-sqr_binary64 |
| 209× | fma-def_binary64 |
| 184× | associate-*l*_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 94 | 660 |
| 1 | 278 | 651 |
| 2 | 851 | 642 |
| 3 | 3050 | 633 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))) |
(-.f64 (*.f64 4 (/.f64 (log.f64 f) (PI.f64))) (+.f64 (*.f64 1/12 (*.f64 (pow.f64 f 2) (PI.f64))) (*.f64 4 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64))))) |
(-.f64 (+.f64 (*.f64 4 (/.f64 (log.f64 f) (PI.f64))) (*.f64 1/1152 (*.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 3)))) (+.f64 (*.f64 1/12 (*.f64 (pow.f64 f 2) (PI.f64))) (*.f64 4 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64))))) |
(-.f64 (+.f64 (*.f64 4 (/.f64 (log.f64 f) (PI.f64))) (*.f64 1/1152 (*.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 3)))) (+.f64 (*.f64 1/12 (*.f64 (pow.f64 f 2) (PI.f64))) (+.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64))) (*.f64 1/82944 (*.f64 (pow.f64 f 6) (pow.f64 (PI.f64) 5)))))) |
(*.f64 -4 (/.f64 (-.f64 (log.f64 (*.f64 1/12 (PI.f64))) (log.f64 (/.f64 1 f))) (PI.f64))) |
(-.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 1 f)) (PI.f64))) (+.f64 (*.f64 192 (/.f64 1 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 3)))) (*.f64 4 (/.f64 (log.f64 (*.f64 1/12 (PI.f64))) (PI.f64))))) |
(-.f64 (+.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 1 f)) (PI.f64))) (*.f64 4608 (/.f64 1 (*.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 5))))) (+.f64 (*.f64 192 (/.f64 1 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 3)))) (*.f64 4 (/.f64 (log.f64 (*.f64 1/12 (PI.f64))) (PI.f64))))) |
(-.f64 (+.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 1 f)) (PI.f64))) (*.f64 4608 (/.f64 1 (*.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 5))))) (+.f64 (*.f64 192 (/.f64 1 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 3)))) (+.f64 (*.f64 147456 (/.f64 1 (*.f64 (pow.f64 f 6) (pow.f64 (PI.f64) 7)))) (*.f64 4 (/.f64 (log.f64 (*.f64 1/12 (PI.f64))) (PI.f64)))))) |
(*.f64 -4 (/.f64 (-.f64 (log.f64 (neg.f64 (*.f64 1/12 (PI.f64)))) (log.f64 (/.f64 -1 f))) (PI.f64))) |
(-.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 -1 f)) (PI.f64))) (+.f64 (*.f64 4 (/.f64 (log.f64 (neg.f64 (*.f64 1/12 (PI.f64)))) (PI.f64))) (*.f64 192 (/.f64 1 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 3)))))) |
(-.f64 (+.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 -1 f)) (PI.f64))) (*.f64 4608 (/.f64 1 (*.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 5))))) (+.f64 (*.f64 4 (/.f64 (log.f64 (neg.f64 (*.f64 1/12 (PI.f64)))) (PI.f64))) (*.f64 192 (/.f64 1 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 3)))))) |
(-.f64 (+.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 -1 f)) (PI.f64))) (*.f64 4608 (/.f64 1 (*.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 5))))) (+.f64 (*.f64 4 (/.f64 (log.f64 (neg.f64 (*.f64 1/12 (PI.f64)))) (PI.f64))) (+.f64 (*.f64 192 (/.f64 1 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 3)))) (*.f64 147456 (/.f64 1 (*.f64 (pow.f64 f 6) (pow.f64 (PI.f64) 7))))))) |
(/.f64 4 (*.f64 f (PI.f64))) |
(/.f64 4 (*.f64 f (PI.f64))) |
(/.f64 4 (*.f64 f (PI.f64))) |
(/.f64 4 (*.f64 f (PI.f64))) |
(/.f64 4 (*.f64 f (PI.f64))) |
(/.f64 4 (*.f64 f (PI.f64))) |
(/.f64 4 (*.f64 f (PI.f64))) |
(/.f64 4 (*.f64 f (PI.f64))) |
(/.f64 4 (*.f64 f (PI.f64))) |
(/.f64 4 (*.f64 f (PI.f64))) |
(/.f64 4 (*.f64 f (PI.f64))) |
(/.f64 4 (*.f64 f (PI.f64))) |
| Outputs |
|---|
(*.f64 -4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))) |
(/.f64 -4 (/.f64 (PI.f64) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))) |
(*.f64 (/.f64 -4 (PI.f64)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))) |
(-.f64 (*.f64 4 (/.f64 (log.f64 f) (PI.f64))) (+.f64 (*.f64 1/12 (*.f64 (pow.f64 f 2) (PI.f64))) (*.f64 4 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64))))) |
(-.f64 (*.f64 4 (/.f64 (log.f64 f) (PI.f64))) (fma.f64 1/12 (*.f64 (PI.f64) (*.f64 f f)) (*.f64 4 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64))))) |
(-.f64 (*.f64 4 (/.f64 (log.f64 f) (PI.f64))) (fma.f64 4 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)) (*.f64 1/12 (*.f64 (PI.f64) (*.f64 f f))))) |
(+.f64 (*.f64 4 (-.f64 (/.f64 (log.f64 f) (PI.f64)) (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)))) (*.f64 (*.f64 -1/12 f) (*.f64 (PI.f64) f))) |
(fma.f64 4 (-.f64 (/.f64 (log.f64 f) (PI.f64)) (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64))) (*.f64 (*.f64 f f) (*.f64 (PI.f64) -1/12))) |
(-.f64 (+.f64 (*.f64 4 (/.f64 (log.f64 f) (PI.f64))) (*.f64 1/1152 (*.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 3)))) (+.f64 (*.f64 1/12 (*.f64 (pow.f64 f 2) (PI.f64))) (*.f64 4 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64))))) |
(-.f64 (fma.f64 4 (/.f64 (log.f64 f) (PI.f64)) (*.f64 1/1152 (*.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 3)))) (fma.f64 1/12 (*.f64 (PI.f64) (*.f64 f f)) (*.f64 4 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64))))) |
(-.f64 (fma.f64 4 (/.f64 (log.f64 f) (PI.f64)) (*.f64 (pow.f64 f 4) (*.f64 (pow.f64 (PI.f64) 3) 1/1152))) (fma.f64 4 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)) (*.f64 1/12 (*.f64 (PI.f64) (*.f64 f f))))) |
(fma.f64 1/1152 (*.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 3)) (+.f64 (*.f64 4 (-.f64 (/.f64 (log.f64 f) (PI.f64)) (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)))) (*.f64 (*.f64 -1/12 f) (*.f64 (PI.f64) f)))) |
(fma.f64 1/1152 (*.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 3)) (fma.f64 4 (-.f64 (/.f64 (log.f64 f) (PI.f64)) (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64))) (*.f64 (*.f64 f f) (*.f64 (PI.f64) -1/12)))) |
(-.f64 (+.f64 (*.f64 4 (/.f64 (log.f64 f) (PI.f64))) (*.f64 1/1152 (*.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 3)))) (+.f64 (*.f64 1/12 (*.f64 (pow.f64 f 2) (PI.f64))) (+.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64))) (*.f64 1/82944 (*.f64 (pow.f64 f 6) (pow.f64 (PI.f64) 5)))))) |
(-.f64 (fma.f64 4 (/.f64 (log.f64 f) (PI.f64)) (*.f64 1/1152 (*.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 3)))) (fma.f64 1/12 (*.f64 (PI.f64) (*.f64 f f)) (fma.f64 4 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)) (*.f64 (*.f64 1/82944 (pow.f64 f 6)) (pow.f64 (PI.f64) 5))))) |
(-.f64 (fma.f64 4 (/.f64 (log.f64 f) (PI.f64)) (*.f64 (pow.f64 f 4) (*.f64 (pow.f64 (PI.f64) 3) 1/1152))) (fma.f64 1/12 (*.f64 (PI.f64) (*.f64 f f)) (fma.f64 4 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)) (*.f64 (*.f64 1/82944 (pow.f64 (PI.f64) 5)) (pow.f64 f 6))))) |
(fma.f64 1/1152 (*.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 3)) (-.f64 (*.f64 4 (-.f64 (/.f64 (log.f64 f) (PI.f64)) (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)))) (fma.f64 (PI.f64) (*.f64 f (*.f64 f 1/12)) (*.f64 (pow.f64 f 6) (*.f64 1/82944 (pow.f64 (PI.f64) 5)))))) |
(fma.f64 1/1152 (*.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 3)) (fma.f64 4 (-.f64 (/.f64 (log.f64 f) (PI.f64)) (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64))) (fma.f64 (PI.f64) (*.f64 (*.f64 f f) -1/12) (*.f64 (*.f64 (pow.f64 f 6) (pow.f64 (PI.f64) 5)) -1/82944)))) |
(*.f64 -4 (/.f64 (-.f64 (log.f64 (*.f64 1/12 (PI.f64))) (log.f64 (/.f64 1 f))) (PI.f64))) |
(*.f64 -4 (/.f64 (-.f64 (log.f64 (*.f64 (PI.f64) 1/12)) (neg.f64 (log.f64 f))) (PI.f64))) |
(*.f64 -4 (/.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 (PI.f64) 1/12))) (PI.f64))) |
(*.f64 (/.f64 -4 (PI.f64)) (+.f64 (log.f64 f) (log.f64 (*.f64 (PI.f64) 1/12)))) |
(-.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 1 f)) (PI.f64))) (+.f64 (*.f64 192 (/.f64 1 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 3)))) (*.f64 4 (/.f64 (log.f64 (*.f64 1/12 (PI.f64))) (PI.f64))))) |
(-.f64 (*.f64 4 (/.f64 (neg.f64 (log.f64 f)) (PI.f64))) (+.f64 (/.f64 192 (*.f64 (*.f64 f f) (pow.f64 (PI.f64) 3))) (*.f64 4 (/.f64 (log.f64 (*.f64 (PI.f64) 1/12)) (PI.f64))))) |
(-.f64 (*.f64 4 (/.f64 (neg.f64 (log.f64 f)) (PI.f64))) (fma.f64 4 (/.f64 (log.f64 (*.f64 (PI.f64) 1/12)) (PI.f64)) (/.f64 192 (*.f64 f (*.f64 f (pow.f64 (PI.f64) 3)))))) |
(-.f64 (/.f64 (*.f64 -4 (log.f64 f)) (PI.f64)) (fma.f64 4 (/.f64 (log.f64 (*.f64 (PI.f64) 1/12)) (PI.f64)) (/.f64 192 (*.f64 f (*.f64 f (pow.f64 (PI.f64) 3)))))) |
(fma.f64 4 (-.f64 (/.f64 (neg.f64 (log.f64 f)) (PI.f64)) (/.f64 (log.f64 (*.f64 (PI.f64) 1/12)) (PI.f64))) (/.f64 -192 (*.f64 f (*.f64 f (pow.f64 (PI.f64) 3))))) |
(-.f64 (+.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 1 f)) (PI.f64))) (*.f64 4608 (/.f64 1 (*.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 5))))) (+.f64 (*.f64 192 (/.f64 1 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 3)))) (*.f64 4 (/.f64 (log.f64 (*.f64 1/12 (PI.f64))) (PI.f64))))) |
(-.f64 (fma.f64 4 (/.f64 (neg.f64 (log.f64 f)) (PI.f64)) (/.f64 4608 (*.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 5)))) (+.f64 (/.f64 192 (*.f64 (*.f64 f f) (pow.f64 (PI.f64) 3))) (*.f64 4 (/.f64 (log.f64 (*.f64 (PI.f64) 1/12)) (PI.f64))))) |
(-.f64 (fma.f64 4 (/.f64 (neg.f64 (log.f64 f)) (PI.f64)) (/.f64 (/.f64 4608 (pow.f64 (PI.f64) 5)) (pow.f64 f 4))) (fma.f64 4 (/.f64 (log.f64 (*.f64 (PI.f64) 1/12)) (PI.f64)) (/.f64 192 (*.f64 f (*.f64 f (pow.f64 (PI.f64) 3)))))) |
(+.f64 (/.f64 4608 (*.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 5))) (-.f64 (/.f64 (*.f64 -4 (log.f64 f)) (PI.f64)) (fma.f64 4 (/.f64 (log.f64 (*.f64 (PI.f64) 1/12)) (PI.f64)) (/.f64 192 (*.f64 f (*.f64 f (pow.f64 (PI.f64) 3))))))) |
(+.f64 (/.f64 (/.f64 4608 (pow.f64 (PI.f64) 5)) (pow.f64 f 4)) (fma.f64 4 (-.f64 (/.f64 (neg.f64 (log.f64 f)) (PI.f64)) (/.f64 (log.f64 (*.f64 (PI.f64) 1/12)) (PI.f64))) (/.f64 -192 (*.f64 f (*.f64 f (pow.f64 (PI.f64) 3)))))) |
(-.f64 (+.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 1 f)) (PI.f64))) (*.f64 4608 (/.f64 1 (*.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 5))))) (+.f64 (*.f64 192 (/.f64 1 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 3)))) (+.f64 (*.f64 147456 (/.f64 1 (*.f64 (pow.f64 f 6) (pow.f64 (PI.f64) 7)))) (*.f64 4 (/.f64 (log.f64 (*.f64 1/12 (PI.f64))) (PI.f64)))))) |
(-.f64 (fma.f64 4 (/.f64 (neg.f64 (log.f64 f)) (PI.f64)) (/.f64 4608 (*.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 5)))) (+.f64 (+.f64 (/.f64 192 (*.f64 (*.f64 f f) (pow.f64 (PI.f64) 3))) (/.f64 147456 (*.f64 (pow.f64 f 6) (pow.f64 (PI.f64) 7)))) (*.f64 4 (/.f64 (log.f64 (*.f64 (PI.f64) 1/12)) (PI.f64))))) |
(-.f64 (fma.f64 4 (/.f64 (neg.f64 (log.f64 f)) (PI.f64)) (/.f64 (/.f64 4608 (pow.f64 (PI.f64) 5)) (pow.f64 f 4))) (+.f64 (/.f64 192 (*.f64 f (*.f64 f (pow.f64 (PI.f64) 3)))) (fma.f64 4 (/.f64 (log.f64 (*.f64 (PI.f64) 1/12)) (PI.f64)) (/.f64 147456 (*.f64 (pow.f64 f 6) (pow.f64 (PI.f64) 7)))))) |
(+.f64 (+.f64 (/.f64 (*.f64 -4 (log.f64 f)) (PI.f64)) (/.f64 4608 (*.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 5)))) (-.f64 (/.f64 -192 (*.f64 f (*.f64 f (pow.f64 (PI.f64) 3)))) (fma.f64 4 (/.f64 (log.f64 (*.f64 (PI.f64) 1/12)) (PI.f64)) (/.f64 147456 (*.f64 (pow.f64 f 6) (pow.f64 (PI.f64) 7)))))) |
(+.f64 (/.f64 (/.f64 4608 (pow.f64 (PI.f64) 5)) (pow.f64 f 4)) (fma.f64 4 (-.f64 (/.f64 (neg.f64 (log.f64 f)) (PI.f64)) (/.f64 (log.f64 (*.f64 (PI.f64) 1/12)) (PI.f64))) (-.f64 (/.f64 -147456 (*.f64 (pow.f64 f 6) (pow.f64 (PI.f64) 7))) (/.f64 (/.f64 192 (*.f64 f f)) (pow.f64 (PI.f64) 3))))) |
(*.f64 -4 (/.f64 (-.f64 (log.f64 (neg.f64 (*.f64 1/12 (PI.f64)))) (log.f64 (/.f64 -1 f))) (PI.f64))) |
(*.f64 -4 (/.f64 (-.f64 (log.f64 (*.f64 -1/12 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64))) |
(*.f64 -4 (/.f64 (-.f64 (log.f64 (*.f64 (PI.f64) -1/12)) (log.f64 (/.f64 -1 f))) (PI.f64))) |
(-.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 -1 f)) (PI.f64))) (+.f64 (*.f64 4 (/.f64 (log.f64 (neg.f64 (*.f64 1/12 (PI.f64)))) (PI.f64))) (*.f64 192 (/.f64 1 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 3)))))) |
(-.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 -1 f)) (PI.f64))) (fma.f64 4 (/.f64 (log.f64 (*.f64 -1/12 (PI.f64))) (PI.f64)) (/.f64 192 (*.f64 (*.f64 f f) (pow.f64 (PI.f64) 3))))) |
(-.f64 (*.f64 4 (-.f64 (/.f64 (log.f64 (/.f64 -1 f)) (PI.f64)) (/.f64 (log.f64 (*.f64 (PI.f64) -1/12)) (PI.f64)))) (/.f64 192 (*.f64 f (*.f64 f (pow.f64 (PI.f64) 3))))) |
(fma.f64 4 (-.f64 (/.f64 (log.f64 (/.f64 -1 f)) (PI.f64)) (/.f64 (log.f64 (*.f64 (PI.f64) -1/12)) (PI.f64))) (/.f64 -192 (*.f64 f (*.f64 f (pow.f64 (PI.f64) 3))))) |
(-.f64 (+.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 -1 f)) (PI.f64))) (*.f64 4608 (/.f64 1 (*.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 5))))) (+.f64 (*.f64 4 (/.f64 (log.f64 (neg.f64 (*.f64 1/12 (PI.f64)))) (PI.f64))) (*.f64 192 (/.f64 1 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 3)))))) |
(-.f64 (fma.f64 4 (/.f64 (log.f64 (/.f64 -1 f)) (PI.f64)) (/.f64 4608 (*.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 5)))) (fma.f64 4 (/.f64 (log.f64 (*.f64 -1/12 (PI.f64))) (PI.f64)) (/.f64 192 (*.f64 (*.f64 f f) (pow.f64 (PI.f64) 3))))) |
(-.f64 (fma.f64 4 (/.f64 (log.f64 (/.f64 -1 f)) (PI.f64)) (/.f64 (/.f64 4608 (pow.f64 (PI.f64) 5)) (pow.f64 f 4))) (fma.f64 4 (/.f64 (log.f64 (*.f64 (PI.f64) -1/12)) (PI.f64)) (/.f64 192 (*.f64 f (*.f64 f (pow.f64 (PI.f64) 3)))))) |
(+.f64 (/.f64 4608 (*.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 5))) (fma.f64 4 (-.f64 (/.f64 (log.f64 (/.f64 -1 f)) (PI.f64)) (/.f64 (log.f64 (*.f64 (PI.f64) -1/12)) (PI.f64))) (/.f64 -192 (*.f64 f (*.f64 f (pow.f64 (PI.f64) 3)))))) |
(+.f64 (/.f64 (/.f64 4608 (pow.f64 (PI.f64) 5)) (pow.f64 f 4)) (fma.f64 4 (-.f64 (/.f64 (log.f64 (/.f64 -1 f)) (PI.f64)) (/.f64 (log.f64 (*.f64 (PI.f64) -1/12)) (PI.f64))) (/.f64 -192 (*.f64 f (*.f64 f (pow.f64 (PI.f64) 3)))))) |
(-.f64 (+.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 -1 f)) (PI.f64))) (*.f64 4608 (/.f64 1 (*.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 5))))) (+.f64 (*.f64 4 (/.f64 (log.f64 (neg.f64 (*.f64 1/12 (PI.f64)))) (PI.f64))) (+.f64 (*.f64 192 (/.f64 1 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 3)))) (*.f64 147456 (/.f64 1 (*.f64 (pow.f64 f 6) (pow.f64 (PI.f64) 7))))))) |
(-.f64 (fma.f64 4 (/.f64 (log.f64 (/.f64 -1 f)) (PI.f64)) (/.f64 4608 (*.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 5)))) (+.f64 (fma.f64 4 (/.f64 (log.f64 (*.f64 -1/12 (PI.f64))) (PI.f64)) (/.f64 192 (*.f64 (*.f64 f f) (pow.f64 (PI.f64) 3)))) (/.f64 147456 (*.f64 (pow.f64 f 6) (pow.f64 (PI.f64) 7))))) |
(-.f64 (fma.f64 4 (/.f64 (log.f64 (/.f64 -1 f)) (PI.f64)) (/.f64 (/.f64 4608 (pow.f64 (PI.f64) 5)) (pow.f64 f 4))) (+.f64 (/.f64 147456 (*.f64 (pow.f64 f 6) (pow.f64 (PI.f64) 7))) (fma.f64 4 (/.f64 (log.f64 (*.f64 (PI.f64) -1/12)) (PI.f64)) (/.f64 192 (*.f64 f (*.f64 f (pow.f64 (PI.f64) 3))))))) |
(+.f64 (/.f64 4608 (*.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 5))) (+.f64 (fma.f64 4 (-.f64 (/.f64 (log.f64 (/.f64 -1 f)) (PI.f64)) (/.f64 (log.f64 (*.f64 (PI.f64) -1/12)) (PI.f64))) (/.f64 -192 (*.f64 f (*.f64 f (pow.f64 (PI.f64) 3))))) (/.f64 -147456 (*.f64 (pow.f64 f 6) (pow.f64 (PI.f64) 7))))) |
(+.f64 (+.f64 (/.f64 (/.f64 4608 (pow.f64 (PI.f64) 5)) (pow.f64 f 4)) (fma.f64 4 (-.f64 (/.f64 (log.f64 (/.f64 -1 f)) (PI.f64)) (/.f64 (log.f64 (*.f64 (PI.f64) -1/12)) (PI.f64))) (/.f64 -192 (*.f64 f (*.f64 f (pow.f64 (PI.f64) 3)))))) (/.f64 -147456 (*.f64 (pow.f64 f 6) (pow.f64 (PI.f64) 7)))) |
(/.f64 4 (*.f64 f (PI.f64))) |
(/.f64 (/.f64 4 f) (PI.f64)) |
(/.f64 4 (*.f64 (PI.f64) f)) |
(/.f64 (/.f64 4 (PI.f64)) f) |
(/.f64 4 (*.f64 f (PI.f64))) |
(/.f64 (/.f64 4 f) (PI.f64)) |
(/.f64 4 (*.f64 (PI.f64) f)) |
(/.f64 (/.f64 4 (PI.f64)) f) |
(/.f64 4 (*.f64 f (PI.f64))) |
(/.f64 (/.f64 4 f) (PI.f64)) |
(/.f64 4 (*.f64 (PI.f64) f)) |
(/.f64 (/.f64 4 (PI.f64)) f) |
(/.f64 4 (*.f64 f (PI.f64))) |
(/.f64 (/.f64 4 f) (PI.f64)) |
(/.f64 4 (*.f64 (PI.f64) f)) |
(/.f64 (/.f64 4 (PI.f64)) f) |
(/.f64 4 (*.f64 f (PI.f64))) |
(/.f64 (/.f64 4 f) (PI.f64)) |
(/.f64 4 (*.f64 (PI.f64) f)) |
(/.f64 (/.f64 4 (PI.f64)) f) |
(/.f64 4 (*.f64 f (PI.f64))) |
(/.f64 (/.f64 4 f) (PI.f64)) |
(/.f64 4 (*.f64 (PI.f64) f)) |
(/.f64 (/.f64 4 (PI.f64)) f) |
(/.f64 4 (*.f64 f (PI.f64))) |
(/.f64 (/.f64 4 f) (PI.f64)) |
(/.f64 4 (*.f64 (PI.f64) f)) |
(/.f64 (/.f64 4 (PI.f64)) f) |
(/.f64 4 (*.f64 f (PI.f64))) |
(/.f64 (/.f64 4 f) (PI.f64)) |
(/.f64 4 (*.f64 (PI.f64) f)) |
(/.f64 (/.f64 4 (PI.f64)) f) |
(/.f64 4 (*.f64 f (PI.f64))) |
(/.f64 (/.f64 4 f) (PI.f64)) |
(/.f64 4 (*.f64 (PI.f64) f)) |
(/.f64 (/.f64 4 (PI.f64)) f) |
(/.f64 4 (*.f64 f (PI.f64))) |
(/.f64 (/.f64 4 f) (PI.f64)) |
(/.f64 4 (*.f64 (PI.f64) f)) |
(/.f64 (/.f64 4 (PI.f64)) f) |
(/.f64 4 (*.f64 f (PI.f64))) |
(/.f64 (/.f64 4 f) (PI.f64)) |
(/.f64 4 (*.f64 (PI.f64) f)) |
(/.f64 (/.f64 4 (PI.f64)) f) |
(/.f64 4 (*.f64 f (PI.f64))) |
(/.f64 (/.f64 4 f) (PI.f64)) |
(/.f64 4 (*.f64 (PI.f64) f)) |
(/.f64 (/.f64 4 (PI.f64)) f) |
11 alts after pruning (11 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 121 | 3 | 124 |
| Fresh | 3 | 8 | 11 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 125 | 11 | 136 |
| Status | Error | Program |
|---|---|---|
| 12.0b | (+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (fma.f64 (*.f64 (PI.f64) 1/12) f (/.f64 4 (*.f64 (PI.f64) f))) (/.f64 -4 (PI.f64)))) (cbrt.f64 (pow.f64 (fma.f64 (*.f64 (PI.f64) 1/12) f (/.f64 4 (*.f64 (PI.f64) f))) (/.f64 -4 (PI.f64)))))) (log.f64 (cbrt.f64 (pow.f64 (fma.f64 (*.f64 (PI.f64) 1/12) f (/.f64 4 (*.f64 (PI.f64) f))) (/.f64 -4 (PI.f64)))))) | |
| 3.2b | (*.f64 (pow.f64 (cbrt.f64 (*.f64 (log.f64 (fma.f64 (PI.f64) (*.f64 1/12 f) (/.f64 4 (*.f64 (PI.f64) f)))) -4)) 2) (*.f64 (cbrt.f64 (*.f64 (log.f64 (fma.f64 (PI.f64) (*.f64 1/12 f) (/.f64 4 (*.f64 (PI.f64) f)))) -4)) (/.f64 1 (PI.f64)))) | |
| 63.0b | (*.f64 -4 (/.f64 (-.f64 (log.f64 (*.f64 1/12 (PI.f64))) (log.f64 (/.f64 1 f))) (PI.f64))) | |
| ▶ | 2.3b | (-.f64 (*.f64 4 (/.f64 (log.f64 f) (PI.f64))) (+.f64 (*.f64 1/12 (*.f64 (pow.f64 f 2) (PI.f64))) (*.f64 4 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64))))) |
| 61.5b | (*.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (PI.f64) (*.f64 1/4 f))) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (exp.f64 (*.f64 (PI.f64) (*.f64 1/4 f))) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))))) 3) (/.f64 -4 (PI.f64))) | |
| 61.5b | (*.f64 (-.f64 (exp.f64 (log1p.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (PI.f64) (*.f64 1/4 f))) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (exp.f64 (*.f64 (PI.f64) (*.f64 1/4 f))) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))))) 1) (/.f64 -4 (PI.f64))) | |
| 2.6b | (cbrt.f64 (/.f64 (pow.f64 (*.f64 (log.f64 (fma.f64 (PI.f64) (*.f64 1/12 f) (/.f64 4 (*.f64 (PI.f64) f)))) -4) 3) (pow.f64 (PI.f64) 3))) | |
| 63.6b | (*.f64 (+.f64 (fma.f64 1 (log.f64 (+.f64 (exp.f64 (*.f64 (PI.f64) (*.f64 1/4 f))) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))) (neg.f64 (log.f64 (-.f64 (exp.f64 (*.f64 (PI.f64) (*.f64 1/4 f))) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))))) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 (-.f64 (exp.f64 (*.f64 (PI.f64) (*.f64 1/4 f))) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))))) (sqrt.f64 (log.f64 (-.f64 (exp.f64 (*.f64 (PI.f64) (*.f64 1/4 f))) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (log.f64 (-.f64 (exp.f64 (*.f64 (PI.f64) (*.f64 1/4 f))) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))))) (/.f64 -4 (PI.f64))) | |
| 3.2b | (pow.f64 (cbrt.f64 (*.f64 -4 (/.f64 (log.f64 (fma.f64 (PI.f64) (*.f64 1/12 f) (/.f64 4 (*.f64 (PI.f64) f)))) (PI.f64)))) 3) | |
| 61.6b | (*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (+.f64 (fma.f64 (cbrt.f64 (exp.f64 (*.f64 (PI.f64) (*.f64 1/4 f)))) (cbrt.f64 (pow.f64 (exp.f64 (*.f64 (PI.f64) (*.f64 1/4 f))) 2)) (neg.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))) (cbrt.f64 (pow.f64 (exp.f64 -1/2) (*.f64 (PI.f64) f))) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))))) (/.f64 -4 (PI.f64))) | |
| 2.5b | (*.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (/.f64 -4 (PI.f64))) |
Compiled 3504 to 2415 computations (31.1% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.2b | (*.f64 1/12 (*.f64 (pow.f64 f 2) (PI.f64))) |
| ✓ | 0.3b | (/.f64 (log.f64 f) (PI.f64)) |
| ✓ | 0.3b | (-.f64 (*.f64 4 (/.f64 (log.f64 f) (PI.f64))) (+.f64 (*.f64 1/12 (*.f64 (pow.f64 f 2) (PI.f64))) (*.f64 4 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64))))) |
| ✓ | 2.0b | (log.f64 (/.f64 4 (PI.f64))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 39.0ms | f | @ | -inf | (/.f64 (log.f64 f) (PI.f64)) |
| 14.0ms | f | @ | inf | (/.f64 (log.f64 f) (PI.f64)) |
| 9.0ms | f | @ | 0 | (-.f64 (*.f64 4 (/.f64 (log.f64 f) (PI.f64))) (+.f64 (*.f64 1/12 (*.f64 (pow.f64 f 2) (PI.f64))) (*.f64 4 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64))))) |
| 8.0ms | f | @ | 0 | (/.f64 (log.f64 f) (PI.f64)) |
| 3.0ms | f | @ | -inf | (-.f64 (*.f64 4 (/.f64 (log.f64 f) (PI.f64))) (+.f64 (*.f64 1/12 (*.f64 (pow.f64 f 2) (PI.f64))) (*.f64 4 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64))))) |
| 1× | batch-egg-rewrite |
| 199× | add-sqr-sqrt_binary64 |
| 194× | pow1_binary64 |
| 193× | *-un-lft-identity_binary64 |
| 189× | add-log-exp_binary64 |
| 188× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 18 | 62 |
| 1 | 404 | 62 |
| 1× | node limit |
| Inputs |
|---|
(log.f64 (/.f64 4 (PI.f64))) |
(-.f64 (*.f64 4 (/.f64 (log.f64 f) (PI.f64))) (+.f64 (*.f64 1/12 (*.f64 (pow.f64 f 2) (PI.f64))) (*.f64 4 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64))))) |
(/.f64 (log.f64 f) (PI.f64)) |
(*.f64 1/12 (*.f64 (pow.f64 f 2) (PI.f64))) |
| Outputs |
|---|
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(PI.f64)) (neg.f64 (fma.f64 4 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)) (*.f64 (*.f64 1/12 (*.f64 f f)) (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 (*.f64 (log.f64 f) 4) (PI.f64))) 2) (cbrt.f64 (/.f64 (*.f64 (log.f64 f) 4) (PI.f64))) (neg.f64 (fma.f64 4 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)) (*.f64 (*.f64 1/12 (*.f64 f f)) (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 2 (sqrt.f64 (/.f64 (log.f64 f) (PI.f64)))) (*.f64 2 (sqrt.f64 (/.f64 (log.f64 f) (PI.f64)))) (neg.f64 (fma.f64 4 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)) (*.f64 (*.f64 1/12 (*.f64 f f)) (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (/.f64 (*.f64 (log.f64 f) 4) (PI.f64)) (fma.f64 4 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)) (*.f64 (*.f64 1/12 (*.f64 f f)) (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (-.f64 (/.f64 (*.f64 (log.f64 f) 4) (PI.f64)) (fma.f64 4 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)) (*.f64 (*.f64 1/12 (*.f64 f f)) (PI.f64))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (/.f64 (*.f64 (log.f64 f) 4) (PI.f64)) (fma.f64 4 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)) (*.f64 (*.f64 1/12 (*.f64 f f)) (PI.f64)))))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 f) (PI.f64)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 f) (/.f64 1 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (log.f64 f) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 f) (PI.f64))) 2) (cbrt.f64 (/.f64 (log.f64 f) (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (log.f64 f) (PI.f64))) (sqrt.f64 (/.f64 (log.f64 f) (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (log.f64 f)) (/.f64 1 (neg.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (PI.f64)) (log.f64 f))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (log.f64 f) 2)) 1) (/.f64 (cbrt.f64 (log.f64 f)) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (log.f64 f)) 1) (/.f64 (sqrt.f64 (log.f64 f)) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (/.f64 (log.f64 f) (cbrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (log.f64 f) 2)) (pow.f64 (cbrt.f64 (PI.f64)) 2)) (cbrt.f64 (/.f64 (log.f64 f) (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (log.f64 f)) (pow.f64 (cbrt.f64 (PI.f64)) 2)) (/.f64 (sqrt.f64 (log.f64 f)) (cbrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (PI.f64))) (/.f64 (log.f64 f) (sqrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (log.f64 f) 2)) (sqrt.f64 (PI.f64))) (/.f64 (cbrt.f64 (log.f64 f)) (sqrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (log.f64 f) (PI.f64)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (log.f64 f) (PI.f64)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (log.f64 f) (PI.f64))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (log.f64 f) (PI.f64))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (PI.f64) (log.f64 f)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (log.f64 f) (neg.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (log.f64 f) (PI.f64)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 f (/.f64 1 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (log.f64 f) (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (log.f64 f) (PI.f64)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (log.f64 f) 3) (pow.f64 (PI.f64) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (log.f64 f) (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (log.f64 f) (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 f) (PI.f64))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (log.f64 f) (PI.f64)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 1/12 (*.f64 f f)) (PI.f64)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 1/12 (*.f64 f f)) (PI.f64)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (*.f64 1/12 (*.f64 f f)) (PI.f64))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 f (sqrt.f64 (PI.f64))) (sqrt.f64 1/12)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (*.f64 1/12 (*.f64 f f)) (PI.f64)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (*.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 2)) 1/144))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (pow.f64 (exp.f64 f) f) (PI.f64)) 1/12))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (*.f64 1/12 (*.f64 f f)) (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (*.f64 1/12 (*.f64 f f)) (PI.f64)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (*.f64 1/12 (*.f64 f f)) (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (*.f64 1/12 (*.f64 f f)) (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 1/12 (*.f64 f f)) (PI.f64))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (*.f64 1/12 (*.f64 f f)) (PI.f64)))))))) |
| 1× | egg-herbie |
| 376× | fma-def_binary64 |
| 350× | distribute-rgt-in_binary64 |
| 281× | distribute-lft-in_binary64 |
| 254× | distribute-rgt-neg-in_binary64 |
| 243× | fma-neg_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 40 | 367 |
| 1 | 111 | 367 |
| 2 | 286 | 311 |
| 3 | 836 | 277 |
| 4 | 2805 | 277 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (*.f64 4 (/.f64 (log.f64 f) (PI.f64))) (*.f64 4 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)))) |
(*.f64 -1/12 (*.f64 (pow.f64 f 2) (PI.f64))) |
(neg.f64 (+.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 1 f)) (PI.f64))) (+.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64))) (*.f64 1/12 (*.f64 (pow.f64 f 2) (PI.f64)))))) |
(neg.f64 (+.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 1 f)) (PI.f64))) (+.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64))) (*.f64 1/12 (*.f64 (pow.f64 f 2) (PI.f64)))))) |
(neg.f64 (+.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 1 f)) (PI.f64))) (+.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64))) (*.f64 1/12 (*.f64 (pow.f64 f 2) (PI.f64)))))) |
(*.f64 -1/12 (*.f64 (pow.f64 f 2) (PI.f64))) |
(-.f64 (*.f64 4 (/.f64 (log.f64 -1) (PI.f64))) (+.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 -1 f)) (PI.f64))) (+.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64))) (*.f64 1/12 (*.f64 (pow.f64 f 2) (PI.f64)))))) |
(-.f64 (*.f64 4 (/.f64 (log.f64 -1) (PI.f64))) (+.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 -1 f)) (PI.f64))) (+.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64))) (*.f64 1/12 (*.f64 (pow.f64 f 2) (PI.f64)))))) |
(-.f64 (*.f64 4 (/.f64 (log.f64 -1) (PI.f64))) (+.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 -1 f)) (PI.f64))) (+.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64))) (*.f64 1/12 (*.f64 (pow.f64 f 2) (PI.f64)))))) |
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 f)) (PI.f64))) |
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 f)) (PI.f64))) |
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 f)) (PI.f64))) |
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 f)) (PI.f64))) |
(/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 f))) (PI.f64)) |
(/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 f))) (PI.f64)) |
(/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 f))) (PI.f64)) |
(/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 f))) (PI.f64)) |
| Outputs |
|---|
(-.f64 (*.f64 4 (/.f64 (log.f64 f) (PI.f64))) (*.f64 4 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)))) |
(*.f64 4 (-.f64 (/.f64 (log.f64 f) (PI.f64)) (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)))) |
(*.f64 (/.f64 4 (PI.f64)) (-.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64))))) |
(*.f64 -1/12 (*.f64 (pow.f64 f 2) (PI.f64))) |
(*.f64 -1/12 (*.f64 (PI.f64) (*.f64 f f))) |
(*.f64 -1/12 (*.f64 f (*.f64 f (PI.f64)))) |
(*.f64 f (*.f64 f (*.f64 (PI.f64) -1/12))) |
(*.f64 (PI.f64) (*.f64 -1/12 (*.f64 f f))) |
(neg.f64 (+.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 1 f)) (PI.f64))) (+.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64))) (*.f64 1/12 (*.f64 (pow.f64 f 2) (PI.f64)))))) |
(neg.f64 (fma.f64 4 (/.f64 (neg.f64 (log.f64 f)) (PI.f64)) (fma.f64 4 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)) (*.f64 (*.f64 (PI.f64) (*.f64 f f)) 1/12)))) |
(-.f64 (*.f64 (/.f64 (neg.f64 (log.f64 f)) (PI.f64)) -4) (fma.f64 (*.f64 f (*.f64 f (PI.f64))) 1/12 (/.f64 (*.f64 4 (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))) |
(fma.f64 4 (/.f64 (log.f64 f) (PI.f64)) (fma.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)) -4 (*.f64 f (*.f64 f (*.f64 (PI.f64) -1/12))))) |
(fma.f64 f (*.f64 f (*.f64 (PI.f64) -1/12)) (*.f64 (/.f64 4 (PI.f64)) (-.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))))) |
(neg.f64 (+.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 1 f)) (PI.f64))) (+.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64))) (*.f64 1/12 (*.f64 (pow.f64 f 2) (PI.f64)))))) |
(neg.f64 (fma.f64 4 (/.f64 (neg.f64 (log.f64 f)) (PI.f64)) (fma.f64 4 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)) (*.f64 (*.f64 (PI.f64) (*.f64 f f)) 1/12)))) |
(-.f64 (*.f64 (/.f64 (neg.f64 (log.f64 f)) (PI.f64)) -4) (fma.f64 (*.f64 f (*.f64 f (PI.f64))) 1/12 (/.f64 (*.f64 4 (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))) |
(fma.f64 4 (/.f64 (log.f64 f) (PI.f64)) (fma.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)) -4 (*.f64 f (*.f64 f (*.f64 (PI.f64) -1/12))))) |
(fma.f64 f (*.f64 f (*.f64 (PI.f64) -1/12)) (*.f64 (/.f64 4 (PI.f64)) (-.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))))) |
(neg.f64 (+.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 1 f)) (PI.f64))) (+.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64))) (*.f64 1/12 (*.f64 (pow.f64 f 2) (PI.f64)))))) |
(neg.f64 (fma.f64 4 (/.f64 (neg.f64 (log.f64 f)) (PI.f64)) (fma.f64 4 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)) (*.f64 (*.f64 (PI.f64) (*.f64 f f)) 1/12)))) |
(-.f64 (*.f64 (/.f64 (neg.f64 (log.f64 f)) (PI.f64)) -4) (fma.f64 (*.f64 f (*.f64 f (PI.f64))) 1/12 (/.f64 (*.f64 4 (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))) |
(fma.f64 4 (/.f64 (log.f64 f) (PI.f64)) (fma.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)) -4 (*.f64 f (*.f64 f (*.f64 (PI.f64) -1/12))))) |
(fma.f64 f (*.f64 f (*.f64 (PI.f64) -1/12)) (*.f64 (/.f64 4 (PI.f64)) (-.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))))) |
(*.f64 -1/12 (*.f64 (pow.f64 f 2) (PI.f64))) |
(*.f64 -1/12 (*.f64 (PI.f64) (*.f64 f f))) |
(*.f64 -1/12 (*.f64 f (*.f64 f (PI.f64)))) |
(*.f64 f (*.f64 f (*.f64 (PI.f64) -1/12))) |
(*.f64 (PI.f64) (*.f64 -1/12 (*.f64 f f))) |
(-.f64 (*.f64 4 (/.f64 (log.f64 -1) (PI.f64))) (+.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 -1 f)) (PI.f64))) (+.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64))) (*.f64 1/12 (*.f64 (pow.f64 f 2) (PI.f64)))))) |
(neg.f64 (fma.f64 4 (/.f64 (neg.f64 (log.f64 f)) (PI.f64)) (fma.f64 4 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)) (*.f64 (*.f64 (PI.f64) (*.f64 f f)) 1/12)))) |
(-.f64 (*.f64 (/.f64 (neg.f64 (log.f64 f)) (PI.f64)) -4) (fma.f64 (*.f64 f (*.f64 f (PI.f64))) 1/12 (/.f64 (*.f64 4 (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))) |
(fma.f64 4 (/.f64 (log.f64 f) (PI.f64)) (fma.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)) -4 (*.f64 f (*.f64 f (*.f64 (PI.f64) -1/12))))) |
(fma.f64 f (*.f64 f (*.f64 (PI.f64) -1/12)) (*.f64 (/.f64 4 (PI.f64)) (-.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))))) |
(-.f64 (*.f64 4 (/.f64 (log.f64 -1) (PI.f64))) (+.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 -1 f)) (PI.f64))) (+.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64))) (*.f64 1/12 (*.f64 (pow.f64 f 2) (PI.f64)))))) |
(neg.f64 (fma.f64 4 (/.f64 (neg.f64 (log.f64 f)) (PI.f64)) (fma.f64 4 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)) (*.f64 (*.f64 (PI.f64) (*.f64 f f)) 1/12)))) |
(-.f64 (*.f64 (/.f64 (neg.f64 (log.f64 f)) (PI.f64)) -4) (fma.f64 (*.f64 f (*.f64 f (PI.f64))) 1/12 (/.f64 (*.f64 4 (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))) |
(fma.f64 4 (/.f64 (log.f64 f) (PI.f64)) (fma.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)) -4 (*.f64 f (*.f64 f (*.f64 (PI.f64) -1/12))))) |
(fma.f64 f (*.f64 f (*.f64 (PI.f64) -1/12)) (*.f64 (/.f64 4 (PI.f64)) (-.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))))) |
(-.f64 (*.f64 4 (/.f64 (log.f64 -1) (PI.f64))) (+.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 -1 f)) (PI.f64))) (+.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64))) (*.f64 1/12 (*.f64 (pow.f64 f 2) (PI.f64)))))) |
(neg.f64 (fma.f64 4 (/.f64 (neg.f64 (log.f64 f)) (PI.f64)) (fma.f64 4 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)) (*.f64 (*.f64 (PI.f64) (*.f64 f f)) 1/12)))) |
(-.f64 (*.f64 (/.f64 (neg.f64 (log.f64 f)) (PI.f64)) -4) (fma.f64 (*.f64 f (*.f64 f (PI.f64))) 1/12 (/.f64 (*.f64 4 (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))) |
(fma.f64 4 (/.f64 (log.f64 f) (PI.f64)) (fma.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)) -4 (*.f64 f (*.f64 f (*.f64 (PI.f64) -1/12))))) |
(fma.f64 f (*.f64 f (*.f64 (PI.f64) -1/12)) (*.f64 (/.f64 4 (PI.f64)) (-.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))))) |
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 f)) (PI.f64))) |
(neg.f64 (/.f64 (neg.f64 (log.f64 f)) (PI.f64))) |
(/.f64 (neg.f64 (neg.f64 (log.f64 f))) (PI.f64)) |
(/.f64 (log.f64 f) (PI.f64)) |
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 f)) (PI.f64))) |
(neg.f64 (/.f64 (neg.f64 (log.f64 f)) (PI.f64))) |
(/.f64 (neg.f64 (neg.f64 (log.f64 f))) (PI.f64)) |
(/.f64 (log.f64 f) (PI.f64)) |
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 f)) (PI.f64))) |
(neg.f64 (/.f64 (neg.f64 (log.f64 f)) (PI.f64))) |
(/.f64 (neg.f64 (neg.f64 (log.f64 f))) (PI.f64)) |
(/.f64 (log.f64 f) (PI.f64)) |
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 f)) (PI.f64))) |
(neg.f64 (/.f64 (neg.f64 (log.f64 f)) (PI.f64))) |
(/.f64 (neg.f64 (neg.f64 (log.f64 f))) (PI.f64)) |
(/.f64 (log.f64 f) (PI.f64)) |
(/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 f))) (PI.f64)) |
(neg.f64 (/.f64 (neg.f64 (log.f64 f)) (PI.f64))) |
(/.f64 (neg.f64 (neg.f64 (log.f64 f))) (PI.f64)) |
(/.f64 (log.f64 f) (PI.f64)) |
(/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 f))) (PI.f64)) |
(neg.f64 (/.f64 (neg.f64 (log.f64 f)) (PI.f64))) |
(/.f64 (neg.f64 (neg.f64 (log.f64 f))) (PI.f64)) |
(/.f64 (log.f64 f) (PI.f64)) |
(/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 f))) (PI.f64)) |
(neg.f64 (/.f64 (neg.f64 (log.f64 f)) (PI.f64))) |
(/.f64 (neg.f64 (neg.f64 (log.f64 f))) (PI.f64)) |
(/.f64 (log.f64 f) (PI.f64)) |
(/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 f))) (PI.f64)) |
(neg.f64 (/.f64 (neg.f64 (log.f64 f)) (PI.f64))) |
(/.f64 (neg.f64 (neg.f64 (log.f64 f))) (PI.f64)) |
(/.f64 (log.f64 f) (PI.f64)) |
13 alts after pruning (13 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 127 | 4 | 131 |
| Fresh | 1 | 9 | 10 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 129 | 13 | 142 |
| Status | Error | Program |
|---|---|---|
| 63.6b | (*.f64 (+.f64 (fma.f64 1 (log.f64 (+.f64 (exp.f64 (*.f64 (PI.f64) (*.f64 1/4 f))) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))) (neg.f64 (log.f64 (-.f64 (exp.f64 (*.f64 (PI.f64) (*.f64 1/4 f))) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))))) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 (-.f64 (exp.f64 (*.f64 (PI.f64) (*.f64 1/4 f))) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))))) (sqrt.f64 (log.f64 (-.f64 (exp.f64 (*.f64 (PI.f64) (*.f64 1/4 f))) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (log.f64 (-.f64 (exp.f64 (*.f64 (PI.f64) (*.f64 1/4 f))) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))))) (/.f64 -4 (PI.f64))) | |
| 2.3b | (-.f64 (*.f64 4 (log.f64 (pow.f64 f (/.f64 1 (PI.f64))))) (+.f64 (*.f64 1/12 (*.f64 (pow.f64 f 2) (PI.f64))) (*.f64 4 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64))))) | |
| 3.1b | (fma.f64 (pow.f64 (cbrt.f64 (/.f64 (*.f64 (log.f64 f) 4) (PI.f64))) 2) (cbrt.f64 (/.f64 (*.f64 (log.f64 f) 4) (PI.f64))) (neg.f64 (fma.f64 4 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)) (*.f64 (*.f64 1/12 (*.f64 f f)) (PI.f64))))) | |
| 3.2b | (pow.f64 (cbrt.f64 (*.f64 -4 (/.f64 (log.f64 (fma.f64 (PI.f64) (*.f64 1/12 f) (/.f64 4 (*.f64 (PI.f64) f)))) (PI.f64)))) 3) | |
| 2.3b | (fma.f64 f (*.f64 f (*.f64 (PI.f64) -1/12)) (*.f64 (/.f64 4 (PI.f64)) (-.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))))) | |
| 12.0b | (+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (fma.f64 (*.f64 (PI.f64) 1/12) f (/.f64 4 (*.f64 (PI.f64) f))) (/.f64 -4 (PI.f64)))) (cbrt.f64 (pow.f64 (fma.f64 (*.f64 (PI.f64) 1/12) f (/.f64 4 (*.f64 (PI.f64) f))) (/.f64 -4 (PI.f64)))))) (log.f64 (cbrt.f64 (pow.f64 (fma.f64 (*.f64 (PI.f64) 1/12) f (/.f64 4 (*.f64 (PI.f64) f))) (/.f64 -4 (PI.f64)))))) | |
| 3.2b | (*.f64 (pow.f64 (cbrt.f64 (*.f64 (log.f64 (fma.f64 (PI.f64) (*.f64 1/12 f) (/.f64 4 (*.f64 (PI.f64) f)))) -4)) 2) (*.f64 (cbrt.f64 (*.f64 (log.f64 (fma.f64 (PI.f64) (*.f64 1/12 f) (/.f64 4 (*.f64 (PI.f64) f)))) -4)) (/.f64 1 (PI.f64)))) | |
| 63.0b | (*.f64 -4 (/.f64 (-.f64 (log.f64 (*.f64 1/12 (PI.f64))) (log.f64 (/.f64 1 f))) (PI.f64))) | |
| 61.5b | (*.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (PI.f64) (*.f64 1/4 f))) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (exp.f64 (*.f64 (PI.f64) (*.f64 1/4 f))) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))))) 3) (/.f64 -4 (PI.f64))) | |
| 61.5b | (*.f64 (-.f64 (exp.f64 (log1p.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (PI.f64) (*.f64 1/4 f))) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (exp.f64 (*.f64 (PI.f64) (*.f64 1/4 f))) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))))) 1) (/.f64 -4 (PI.f64))) | |
| 2.6b | (cbrt.f64 (/.f64 (pow.f64 (*.f64 (log.f64 (fma.f64 (PI.f64) (*.f64 1/12 f) (/.f64 4 (*.f64 (PI.f64) f)))) -4) 3) (pow.f64 (PI.f64) 3))) | |
| 61.6b | (*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (+.f64 (fma.f64 (cbrt.f64 (exp.f64 (*.f64 (PI.f64) (*.f64 1/4 f)))) (cbrt.f64 (pow.f64 (exp.f64 (*.f64 (PI.f64) (*.f64 1/4 f))) 2)) (neg.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))) (cbrt.f64 (pow.f64 (exp.f64 -1/2) (*.f64 (PI.f64) f))) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))))) (/.f64 -4 (PI.f64))) | |
| 2.5b | (/.f64 (-.f64 (*.f64 (*.f64 4 (log.f64 f)) (+.f64 (*.f64 (*.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 2)) 1/144) (*.f64 (/.f64 (*.f64 (log.f64 (/.f64 4 (PI.f64))) 4) (PI.f64)) (-.f64 (/.f64 (*.f64 (log.f64 (/.f64 4 (PI.f64))) 4) (PI.f64)) (*.f64 (*.f64 1/12 (*.f64 f f)) (PI.f64)))))) (*.f64 (PI.f64) (+.f64 (pow.f64 (*.f64 (*.f64 1/12 (*.f64 f f)) (PI.f64)) 3) (pow.f64 (/.f64 (*.f64 (log.f64 (/.f64 4 (PI.f64))) 4) (PI.f64)) 3)))) (*.f64 (PI.f64) (+.f64 (*.f64 (*.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 2)) 1/144) (*.f64 (/.f64 (*.f64 (log.f64 (/.f64 4 (PI.f64))) 4) (PI.f64)) (-.f64 (/.f64 (*.f64 (log.f64 (/.f64 4 (PI.f64))) 4) (PI.f64)) (*.f64 (*.f64 1/12 (*.f64 f f)) (PI.f64))))))) |
Compiled 5352 to 3540 computations (33.9% saved)
Total 0.7b remaining (28.1%)
Threshold costs 0.7b (28.1%)
Compiled 3530 to 2351 computations (33.4% saved)
| 1× | egg-herbie |
| 12× | *-commutative_binary64 |
| 10× | +-commutative_binary64 |
| 9× | sub-neg_binary64 |
| 8× | neg-sub0_binary64 |
| 8× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 20 | 42 |
| 1 | 29 | 42 |
| 2 | 37 | 42 |
| 3 | 59 | 42 |
| 4 | 76 | 42 |
| 5 | 88 | 42 |
| 6 | 96 | 42 |
| 7 | 99 | 42 |
| 1× | saturated |
| Inputs |
|---|
(-.f64 (*.f64 4 (log.f64 (pow.f64 f (/.f64 1 (PI.f64))))) (+.f64 (*.f64 1/12 (*.f64 (pow.f64 f 2) (PI.f64))) (*.f64 4 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64))))) |
| Outputs |
|---|
(-.f64 (*.f64 4 (log.f64 (pow.f64 f (/.f64 1 (PI.f64))))) (+.f64 (*.f64 1/12 (*.f64 (pow.f64 f 2) (PI.f64))) (*.f64 4 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64))))) |
(-.f64 (*.f64 4 (log.f64 (pow.f64 f (/.f64 1 (PI.f64))))) (+.f64 (*.f64 1/12 (*.f64 (PI.f64) (pow.f64 f 2))) (*.f64 4 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64))))) |
(+.f64 (*.f64 4 (log.f64 (pow.f64 f (/.f64 1 (PI.f64))))) (+.f64 (*.f64 (*.f64 (PI.f64) (pow.f64 f 2)) -1/12) (*.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)) -4))) |
| 1× | fuel |
Compiled 596 to 443 computations (25.7% saved)
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