Time bar (total: 17.0s)
| 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 | 4045× | body | 1024 | valid |
| 3.3s | 4010× | body | 1024 | invalid |
| 1.3s | 2028× | body | 512 | valid |
| 1.2s | 1940× | body | 512 | invalid |
| 752.0ms | 497× | body | 2048 | valid |
| 465.0ms | 1029× | body | 256 | valid |
| 432.0ms | 1041× | body | 256 | invalid |
| 146.0ms | 657× | body | 128 | valid |
| 1.0ms | 1× | body | 2048 | invalid |
| 1.0ms | 4× | 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 |
|---|---|---|
| ▶ | 62.5b | (*.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 |
|---|---|---|
| ✓ | 0.2b | (*.f64 (PI.f64) f) |
| ✓ | 0.2b | (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))))) |
| ✓ | 1.0b | (/.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)))) |
| ✓ | 5.0b | (-.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 | |
|---|---|---|---|---|
| 41.0ms | 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))))) |
| 28.0ms | 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))))) |
| 4.0ms | 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)))) |
(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 (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 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(*.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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((#(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 expm1.f64 (log1p.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)))))) |
| 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 (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))))))) |
(*.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)) |
| 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 (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)))))) |
(*.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)) |
4 alts after pruning (4 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 219 | 4 | 223 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 220 | 4 | 224 |
| Status | Error | Program |
|---|---|---|
| ▶ | 2.1b | (*.f64 (log.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 4 (*.f64 f (PI.f64))))) (/.f64 -4 (PI.f64))) |
| 63.7b | (*.f64 (+.f64 (fma.f64 (*.f64 (cbrt.f64 (log.f64 (+.f64 (exp.f64 (*.f64 (PI.f64) (*.f64 1/4 f))) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (cbrt.f64 (log.f64 (+.f64 (exp.f64 (*.f64 (PI.f64) (*.f64 1/4 f))) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))))) (cbrt.f64 (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))) | |
| 62.5b | (*.f64 (log.f64 (*.f64 (sqrt.f64 (+.f64 (exp.f64 (*.f64 (PI.f64) (*.f64 1/4 f))) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))) (*.f64 (sqrt.f64 (+.f64 (exp.f64 (*.f64 (PI.f64) (*.f64 1/4 f))) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))) (/.f64 1 (-.f64 (exp.f64 (*.f64 (PI.f64) (*.f64 1/4 f))) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))))) (/.f64 -4 (PI.f64))) | |
| 2.1b | (*.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (/.f64 -4 (PI.f64))) |
Compiled 11476 to 7699 computations (32.9% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.2b | (*.f64 f (PI.f64)) |
| ✓ | 0.3b | (/.f64 4 (*.f64 f (PI.f64))) |
| ✓ | 0.5b | (*.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 | |
|---|---|---|---|---|
| 3.0ms | 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 expm1.f64 (log1p.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)))))) |
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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 expm1.f64 (log1p.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)))))) |
| 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))))) |
11 alts after pruning (11 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 101 | 9 | 110 |
| Fresh | 1 | 2 | 3 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 103 | 11 | 114 |
| Status | Error | Program |
|---|---|---|
| 3.0b | (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) | |
| 2.1b | (*.f64 -4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))) | |
| 63.7b | (*.f64 (+.f64 (fma.f64 (*.f64 (cbrt.f64 (log.f64 (+.f64 (exp.f64 (*.f64 (PI.f64) (*.f64 1/4 f))) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (cbrt.f64 (log.f64 (+.f64 (exp.f64 (*.f64 (PI.f64) (*.f64 1/4 f))) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))))) (cbrt.f64 (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))) | |
| 62.9b | (log1p.f64 (-.f64 (pow.f64 (fma.f64 (*.f64 (PI.f64) 1/12) f (/.f64 4 (*.f64 (PI.f64) f))) (/.f64 -4 (PI.f64))) 1)) | |
| 14.4b | (+.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)))))) | |
| 62.5b | (*.f64 (log.f64 (*.f64 (sqrt.f64 (+.f64 (exp.f64 (*.f64 (PI.f64) (*.f64 1/4 f))) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))) (*.f64 (sqrt.f64 (+.f64 (exp.f64 (*.f64 (PI.f64) (*.f64 1/4 f))) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))) (/.f64 1 (-.f64 (exp.f64 (*.f64 (PI.f64) (*.f64 1/4 f))) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))))) (/.f64 -4 (PI.f64))) | |
| 2.4b | (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)) | |
| 63.0b | (*.f64 -4 (/.f64 (-.f64 (log.f64 (*.f64 1/12 (PI.f64))) (log.f64 (/.f64 1 f))) (PI.f64))) | |
| 43.7b | (*.f64 (log.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (pow.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) 3) 1/3))) (/.f64 -4 (PI.f64))) | |
| 2.0b | (/.f64 1 (/.f64 (PI.f64) (*.f64 (log.f64 (fma.f64 (*.f64 (PI.f64) 1/12) f (/.f64 4 (*.f64 (PI.f64) f)))) -4))) | |
| ▶ | 2.0b | (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)) |
Compiled 3091 to 2124 computations (31.3% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.2b | (*.f64 (PI.f64) f) | |
| ✓ | 0.3b | (-.f64 (/.f64 (log.f64 f) (PI.f64)) (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64))) |
| ✓ | 0.4b | (/.f64 (log.f64 f) (PI.f64)) |
| ✓ | 2.0b | (log.f64 (/.f64 4 (PI.f64))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 38.0ms | f | @ | -inf | (/.f64 (log.f64 f) (PI.f64)) |
| 13.0ms | f | @ | 0 | (-.f64 (/.f64 (log.f64 f) (PI.f64)) (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64))) |
| 11.0ms | f | @ | 0 | (/.f64 (log.f64 f) (PI.f64)) |
| 6.0ms | f | @ | inf | (/.f64 (log.f64 f) (PI.f64)) |
| 0.0ms | f | @ | inf | (-.f64 (/.f64 (log.f64 f) (PI.f64)) (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64))) |
| 1× | batch-egg-rewrite |
| 357× | fma-def_binary64 |
| 228× | fma-neg_binary64 |
| 207× | expm1-udef_binary64 |
| 207× | log1p-udef_binary64 |
| 170× | log-pow_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 30 |
| 1 | 228 | 28 |
| 2 | 3399 | 28 |
| 1× | node limit |
| Inputs |
|---|
(log.f64 (/.f64 4 (PI.f64))) |
(/.f64 (log.f64 f) (PI.f64)) |
(-.f64 (/.f64 (log.f64 f) (PI.f64)) (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64))) |
| Outputs |
|---|
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| 1× | egg-herbie |
| 560× | fma-neg_binary64 |
| 290× | sub-neg_binary64 |
| 269× | distribute-neg-in_binary64 |
| 254× | unsub-neg_binary64 |
| 243× | cancel-sign-sub-inv_binary64 |
Useful iterations: 6 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 24 | 280 |
| 1 | 53 | 280 |
| 2 | 100 | 216 |
| 3 | 231 | 216 |
| 4 | 701 | 208 |
| 5 | 2396 | 208 |
| 6 | 3957 | 184 |
| 7 | 4994 | 184 |
| 1× | node limit |
| Inputs |
|---|
(*.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)) |
(*.f64 -1 (+.f64 (/.f64 (log.f64 (/.f64 1 f)) (PI.f64)) (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)))) |
(*.f64 -1 (+.f64 (/.f64 (log.f64 (/.f64 1 f)) (PI.f64)) (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)))) |
(*.f64 -1 (+.f64 (/.f64 (log.f64 (/.f64 1 f)) (PI.f64)) (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)))) |
(*.f64 -1 (+.f64 (/.f64 (log.f64 (/.f64 1 f)) (PI.f64)) (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)))) |
(-.f64 (/.f64 (log.f64 -1) (PI.f64)) (+.f64 (/.f64 (log.f64 (/.f64 -1 f)) (PI.f64)) (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)))) |
(-.f64 (/.f64 (log.f64 -1) (PI.f64)) (+.f64 (/.f64 (log.f64 (/.f64 -1 f)) (PI.f64)) (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)))) |
(-.f64 (/.f64 (log.f64 -1) (PI.f64)) (+.f64 (/.f64 (log.f64 (/.f64 -1 f)) (PI.f64)) (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)))) |
(-.f64 (/.f64 (log.f64 -1) (PI.f64)) (+.f64 (/.f64 (log.f64 (/.f64 -1 f)) (PI.f64)) (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)))) |
| Outputs |
|---|
(*.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)) |
(*.f64 -1 (+.f64 (/.f64 (log.f64 (/.f64 1 f)) (PI.f64)) (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)))) |
(neg.f64 (+.f64 (/.f64 (neg.f64 (log.f64 f)) (PI.f64)) (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)))) |
(-.f64 (/.f64 (log.f64 f) (PI.f64)) (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64))) |
(*.f64 (/.f64 -1 (PI.f64)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))) |
(/.f64 (-.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)) |
(*.f64 -1 (+.f64 (/.f64 (log.f64 (/.f64 1 f)) (PI.f64)) (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)))) |
(neg.f64 (+.f64 (/.f64 (neg.f64 (log.f64 f)) (PI.f64)) (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)))) |
(-.f64 (/.f64 (log.f64 f) (PI.f64)) (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64))) |
(*.f64 (/.f64 -1 (PI.f64)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))) |
(/.f64 (-.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)) |
(*.f64 -1 (+.f64 (/.f64 (log.f64 (/.f64 1 f)) (PI.f64)) (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)))) |
(neg.f64 (+.f64 (/.f64 (neg.f64 (log.f64 f)) (PI.f64)) (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)))) |
(-.f64 (/.f64 (log.f64 f) (PI.f64)) (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64))) |
(*.f64 (/.f64 -1 (PI.f64)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))) |
(/.f64 (-.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)) |
(*.f64 -1 (+.f64 (/.f64 (log.f64 (/.f64 1 f)) (PI.f64)) (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)))) |
(neg.f64 (+.f64 (/.f64 (neg.f64 (log.f64 f)) (PI.f64)) (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)))) |
(-.f64 (/.f64 (log.f64 f) (PI.f64)) (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64))) |
(*.f64 (/.f64 -1 (PI.f64)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))) |
(/.f64 (-.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)) |
(-.f64 (/.f64 (log.f64 -1) (PI.f64)) (+.f64 (/.f64 (log.f64 (/.f64 -1 f)) (PI.f64)) (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)))) |
(neg.f64 (+.f64 (/.f64 (neg.f64 (log.f64 f)) (PI.f64)) (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)))) |
(-.f64 (/.f64 (log.f64 f) (PI.f64)) (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64))) |
(*.f64 (/.f64 -1 (PI.f64)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))) |
(/.f64 (-.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)) |
(-.f64 (/.f64 (log.f64 -1) (PI.f64)) (+.f64 (/.f64 (log.f64 (/.f64 -1 f)) (PI.f64)) (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)))) |
(neg.f64 (+.f64 (/.f64 (neg.f64 (log.f64 f)) (PI.f64)) (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)))) |
(-.f64 (/.f64 (log.f64 f) (PI.f64)) (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64))) |
(*.f64 (/.f64 -1 (PI.f64)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))) |
(/.f64 (-.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)) |
(-.f64 (/.f64 (log.f64 -1) (PI.f64)) (+.f64 (/.f64 (log.f64 (/.f64 -1 f)) (PI.f64)) (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)))) |
(neg.f64 (+.f64 (/.f64 (neg.f64 (log.f64 f)) (PI.f64)) (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)))) |
(-.f64 (/.f64 (log.f64 f) (PI.f64)) (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64))) |
(*.f64 (/.f64 -1 (PI.f64)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))) |
(/.f64 (-.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)) |
(-.f64 (/.f64 (log.f64 -1) (PI.f64)) (+.f64 (/.f64 (log.f64 (/.f64 -1 f)) (PI.f64)) (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)))) |
(neg.f64 (+.f64 (/.f64 (neg.f64 (log.f64 f)) (PI.f64)) (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)))) |
(-.f64 (/.f64 (log.f64 f) (PI.f64)) (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64))) |
(*.f64 (/.f64 -1 (PI.f64)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))) |
(/.f64 (-.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)) |
10 alts after pruning (10 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 238 | 4 | 242 |
| Fresh | 4 | 6 | 10 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 243 | 10 | 253 |
| Status | Error | Program |
|---|---|---|
| ▶ | 1.9b | (fma.f64 4 (-.f64 (log.f64 (pow.f64 f (/.f64 1 (PI.f64)))) (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64))) (*.f64 (*.f64 f (*.f64 (PI.f64) f)) -1/12)) |
| 2.0b | (/.f64 1 (/.f64 (PI.f64) (*.f64 (log.f64 (fma.f64 (*.f64 (PI.f64) 1/12) f (/.f64 4 (*.f64 (PI.f64) f)))) -4))) | |
| 63.7b | (*.f64 (+.f64 (fma.f64 (*.f64 (cbrt.f64 (log.f64 (+.f64 (exp.f64 (*.f64 (PI.f64) (*.f64 1/4 f))) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (cbrt.f64 (log.f64 (+.f64 (exp.f64 (*.f64 (PI.f64) (*.f64 1/4 f))) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))))) (cbrt.f64 (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))) | |
| 62.9b | (log1p.f64 (-.f64 (pow.f64 (fma.f64 (*.f64 (PI.f64) 1/12) f (/.f64 4 (*.f64 (PI.f64) f))) (/.f64 -4 (PI.f64))) 1)) | |
| 14.4b | (+.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)))))) | |
| 62.5b | (*.f64 (log.f64 (*.f64 (sqrt.f64 (+.f64 (exp.f64 (*.f64 (PI.f64) (*.f64 1/4 f))) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))) (*.f64 (sqrt.f64 (+.f64 (exp.f64 (*.f64 (PI.f64) (*.f64 1/4 f))) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))) (/.f64 1 (-.f64 (exp.f64 (*.f64 (PI.f64) (*.f64 1/4 f))) (pow.f64 (exp.f64 -1/4) (*.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))) | |
| 2.9b | (fma.f64 4 (*.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 f (/.f64 4 (PI.f64)))) (PI.f64))) (pow.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 f (/.f64 4 (PI.f64)))) (PI.f64))) 2)) (*.f64 (*.f64 f (*.f64 (PI.f64) f)) -1/12)) | |
| 2.0b | (fma.f64 4 (/.f64 (-.f64 (*.f64 (log.f64 f) (/.f64 (PI.f64) (log.f64 (/.f64 4 (PI.f64))))) (PI.f64)) (*.f64 (PI.f64) (/.f64 (PI.f64) (log.f64 (/.f64 4 (PI.f64)))))) (*.f64 (*.f64 f (*.f64 (PI.f64) f)) -1/12)) | |
| 2.0b | (fma.f64 4 (fma.f64 (fma.f64 (PI.f64) (log.f64 f) (*.f64 (neg.f64 (PI.f64)) (log.f64 (/.f64 4 (PI.f64))))) (/.f64 1 (pow.f64 (PI.f64) 2)) (+.f64 (/.f64 (log.f64 (*.f64 (PI.f64) 1/4)) (PI.f64)) (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)))) (*.f64 (*.f64 f (*.f64 (PI.f64) f)) -1/12)) |
Compiled 7888 to 4555 computations (42.3% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.2b | (*.f64 (PI.f64) f) | |
| ✓ | 0.3b | (-.f64 (log.f64 (pow.f64 f (/.f64 1 (PI.f64)))) (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64))) |
| 2.0b | (log.f64 (/.f64 4 (PI.f64))) | |
| ✓ | 5.1b | (pow.f64 f (/.f64 1 (PI.f64))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 25.0ms | f | @ | inf | (-.f64 (log.f64 (pow.f64 f (/.f64 1 (PI.f64)))) (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64))) |
| 14.0ms | f | @ | -inf | (-.f64 (log.f64 (pow.f64 f (/.f64 1 (PI.f64)))) (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64))) |
| 13.0ms | f | @ | 0 | (-.f64 (log.f64 (pow.f64 f (/.f64 1 (PI.f64)))) (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64))) |
| 1.0ms | f | @ | 0 | (pow.f64 f (/.f64 1 (PI.f64))) |
| 1.0ms | f | @ | -inf | (pow.f64 f (/.f64 1 (PI.f64))) |
| 1× | batch-egg-rewrite |
| 829× | prod-diff_binary64 |
| 242× | egg-rr |
| 126× | add-sqr-sqrt_binary64 |
| 122× | pow1_binary64 |
| 121× | *-un-lft-identity_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 31 |
| 1 | 260 | 28 |
| 2 | 3383 | 28 |
| 1× | node limit |
| Inputs |
|---|
(pow.f64 f (/.f64 1 (PI.f64))) |
(-.f64 (log.f64 (pow.f64 f (/.f64 1 (PI.f64)))) (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64))) |
| Outputs |
|---|
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(/.f64 1 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 (log.f64 f) (PI.f64)) (/.f64 (log.f64 (*.f64 (PI.f64) 1/4)) (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (/.f64 (log.f64 f) (PI.f64)) (/.f64 (log.f64 (*.f64 (PI.f64) 1/4)) (PI.f64))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (/.f64 (log.f64 f) (PI.f64)) (/.f64 (log.f64 (*.f64 (PI.f64) 1/4)) (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (/.f64 (log.f64 f) (PI.f64)) (/.f64 (log.f64 (*.f64 (PI.f64) 1/4)) (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (/.f64 (log.f64 f) (PI.f64)) (/.f64 (log.f64 (*.f64 (PI.f64) 1/4)) (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 (log.f64 f) (PI.f64)) (/.f64 (log.f64 (*.f64 (PI.f64) 1/4)) (PI.f64)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 (log.f64 f) (PI.f64)) (/.f64 (log.f64 (*.f64 (PI.f64) 1/4)) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (PI.f64)) (log.f64 f) (/.f64 (log.f64 (*.f64 (PI.f64) 1/4)) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 f) (PI.f64))) 2) (cbrt.f64 (/.f64 (log.f64 f) (PI.f64))) (/.f64 (log.f64 (*.f64 (PI.f64) 1/4)) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 (log.f64 f) (PI.f64))) (sqrt.f64 (/.f64 (log.f64 f) (PI.f64))) (/.f64 (log.f64 (*.f64 (PI.f64) 1/4)) (PI.f64))))))) |
| 1× | egg-herbie |
| 723× | div-sub_binary64 |
| 702× | fma-neg_binary64 |
| 312× | times-frac_binary64 |
| 191× | associate--r+_binary64 |
| 188× | associate--r-_binary64 |
Useful iterations: 5 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 30 | 348 |
| 1 | 62 | 348 |
| 2 | 121 | 348 |
| 3 | 286 | 348 |
| 4 | 879 | 336 |
| 5 | 3289 | 324 |
| 1× | node limit |
| Inputs |
|---|
(exp.f64 (/.f64 (log.f64 f) (PI.f64))) |
(exp.f64 (/.f64 (log.f64 f) (PI.f64))) |
(exp.f64 (/.f64 (log.f64 f) (PI.f64))) |
(exp.f64 (/.f64 (log.f64 f) (PI.f64))) |
(exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 f)) (PI.f64)))) |
(exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 f)) (PI.f64)))) |
(exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 f)) (PI.f64)))) |
(exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 f)) (PI.f64)))) |
(exp.f64 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 f))) (PI.f64))) |
(exp.f64 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 f))) (PI.f64))) |
(exp.f64 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 f))) (PI.f64))) |
(exp.f64 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 f))) (PI.f64))) |
(-.f64 (/.f64 (log.f64 f) (PI.f64)) (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64))) |
(-.f64 (/.f64 (log.f64 f) (PI.f64)) (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64))) |
(-.f64 (/.f64 (log.f64 f) (PI.f64)) (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64))) |
(-.f64 (/.f64 (log.f64 f) (PI.f64)) (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64))) |
(*.f64 -1 (+.f64 (/.f64 (log.f64 (/.f64 1 f)) (PI.f64)) (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)))) |
(*.f64 -1 (+.f64 (/.f64 (log.f64 (/.f64 1 f)) (PI.f64)) (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)))) |
(*.f64 -1 (+.f64 (/.f64 (log.f64 (/.f64 1 f)) (PI.f64)) (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)))) |
(*.f64 -1 (+.f64 (/.f64 (log.f64 (/.f64 1 f)) (PI.f64)) (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)))) |
(-.f64 (/.f64 (log.f64 -1) (PI.f64)) (+.f64 (/.f64 (log.f64 (/.f64 -1 f)) (PI.f64)) (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)))) |
(-.f64 (/.f64 (log.f64 -1) (PI.f64)) (+.f64 (/.f64 (log.f64 (/.f64 -1 f)) (PI.f64)) (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)))) |
(-.f64 (/.f64 (log.f64 -1) (PI.f64)) (+.f64 (/.f64 (log.f64 (/.f64 -1 f)) (PI.f64)) (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)))) |
(-.f64 (/.f64 (log.f64 -1) (PI.f64)) (+.f64 (/.f64 (log.f64 (/.f64 -1 f)) (PI.f64)) (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)))) |
| Outputs |
|---|
(exp.f64 (/.f64 (log.f64 f) (PI.f64))) |
(pow.f64 f (/.f64 1 (PI.f64))) |
(exp.f64 (/.f64 (log.f64 f) (PI.f64))) |
(pow.f64 f (/.f64 1 (PI.f64))) |
(exp.f64 (/.f64 (log.f64 f) (PI.f64))) |
(pow.f64 f (/.f64 1 (PI.f64))) |
(exp.f64 (/.f64 (log.f64 f) (PI.f64))) |
(pow.f64 f (/.f64 1 (PI.f64))) |
(exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 f)) (PI.f64)))) |
(exp.f64 (/.f64 (log.f64 f) (PI.f64))) |
(pow.f64 f (/.f64 1 (PI.f64))) |
(exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 f)) (PI.f64)))) |
(exp.f64 (/.f64 (log.f64 f) (PI.f64))) |
(pow.f64 f (/.f64 1 (PI.f64))) |
(exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 f)) (PI.f64)))) |
(exp.f64 (/.f64 (log.f64 f) (PI.f64))) |
(pow.f64 f (/.f64 1 (PI.f64))) |
(exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 f)) (PI.f64)))) |
(exp.f64 (/.f64 (log.f64 f) (PI.f64))) |
(pow.f64 f (/.f64 1 (PI.f64))) |
(exp.f64 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 f))) (PI.f64))) |
(exp.f64 (/.f64 (log.f64 f) (PI.f64))) |
(pow.f64 f (/.f64 1 (PI.f64))) |
(exp.f64 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 f))) (PI.f64))) |
(exp.f64 (/.f64 (log.f64 f) (PI.f64))) |
(pow.f64 f (/.f64 1 (PI.f64))) |
(exp.f64 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 f))) (PI.f64))) |
(exp.f64 (/.f64 (log.f64 f) (PI.f64))) |
(pow.f64 f (/.f64 1 (PI.f64))) |
(exp.f64 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 f))) (PI.f64))) |
(exp.f64 (/.f64 (log.f64 f) (PI.f64))) |
(pow.f64 f (/.f64 1 (PI.f64))) |
(-.f64 (/.f64 (log.f64 f) (PI.f64)) (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64))) |
(*.f64 (/.f64 -1 (PI.f64)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))) |
(-.f64 (/.f64 (log.f64 f) (PI.f64)) (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64))) |
(*.f64 (/.f64 -1 (PI.f64)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))) |
(-.f64 (/.f64 (log.f64 f) (PI.f64)) (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64))) |
(*.f64 (/.f64 -1 (PI.f64)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))) |
(-.f64 (/.f64 (log.f64 f) (PI.f64)) (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64))) |
(*.f64 (/.f64 -1 (PI.f64)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))) |
(*.f64 -1 (+.f64 (/.f64 (log.f64 (/.f64 1 f)) (PI.f64)) (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)))) |
(-.f64 (/.f64 (log.f64 f) (PI.f64)) (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64))) |
(*.f64 (/.f64 -1 (PI.f64)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))) |
(*.f64 -1 (+.f64 (/.f64 (log.f64 (/.f64 1 f)) (PI.f64)) (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)))) |
(-.f64 (/.f64 (log.f64 f) (PI.f64)) (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64))) |
(*.f64 (/.f64 -1 (PI.f64)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))) |
(*.f64 -1 (+.f64 (/.f64 (log.f64 (/.f64 1 f)) (PI.f64)) (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)))) |
(-.f64 (/.f64 (log.f64 f) (PI.f64)) (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64))) |
(*.f64 (/.f64 -1 (PI.f64)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))) |
(*.f64 -1 (+.f64 (/.f64 (log.f64 (/.f64 1 f)) (PI.f64)) (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)))) |
(-.f64 (/.f64 (log.f64 f) (PI.f64)) (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64))) |
(*.f64 (/.f64 -1 (PI.f64)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))) |
(-.f64 (/.f64 (log.f64 -1) (PI.f64)) (+.f64 (/.f64 (log.f64 (/.f64 -1 f)) (PI.f64)) (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)))) |
(-.f64 (/.f64 (log.f64 f) (PI.f64)) (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64))) |
(*.f64 (/.f64 -1 (PI.f64)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))) |
(-.f64 (/.f64 (log.f64 -1) (PI.f64)) (+.f64 (/.f64 (log.f64 (/.f64 -1 f)) (PI.f64)) (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)))) |
(-.f64 (/.f64 (log.f64 f) (PI.f64)) (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64))) |
(*.f64 (/.f64 -1 (PI.f64)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))) |
(-.f64 (/.f64 (log.f64 -1) (PI.f64)) (+.f64 (/.f64 (log.f64 (/.f64 -1 f)) (PI.f64)) (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)))) |
(-.f64 (/.f64 (log.f64 f) (PI.f64)) (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64))) |
(*.f64 (/.f64 -1 (PI.f64)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))) |
(-.f64 (/.f64 (log.f64 -1) (PI.f64)) (+.f64 (/.f64 (log.f64 (/.f64 -1 f)) (PI.f64)) (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)))) |
(-.f64 (/.f64 (log.f64 f) (PI.f64)) (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64))) |
(*.f64 (/.f64 -1 (PI.f64)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))) |
10 alts after pruning (9 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 313 | 1 | 314 |
| Fresh | 1 | 8 | 9 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 314 | 10 | 324 |
| Status | Error | Program |
|---|---|---|
| 2.9b | (fma.f64 4 (*.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 f (/.f64 4 (PI.f64)))) (PI.f64))) (pow.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 f (/.f64 4 (PI.f64)))) (PI.f64))) 2)) (*.f64 (*.f64 f (*.f64 (PI.f64) f)) -1/12)) | |
| 2.0b | (fma.f64 4 (+.f64 (fma.f64 (pow.f64 (PI.f64) -1/2) (*.f64 (pow.f64 (PI.f64) -1/2) (log.f64 f)) (/.f64 (log.f64 (*.f64 (PI.f64) 1/4)) (PI.f64))) (fma.f64 (/.f64 (log.f64 (*.f64 (PI.f64) 1/4)) (PI.f64)) 1 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)))) (*.f64 (*.f64 f (*.f64 (PI.f64) f)) -1/12)) | |
| 63.7b | (*.f64 (+.f64 (fma.f64 (*.f64 (cbrt.f64 (log.f64 (+.f64 (exp.f64 (*.f64 (PI.f64) (*.f64 1/4 f))) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (cbrt.f64 (log.f64 (+.f64 (exp.f64 (*.f64 (PI.f64) (*.f64 1/4 f))) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))))) (cbrt.f64 (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))) | |
| 62.9b | (log1p.f64 (-.f64 (pow.f64 (fma.f64 (*.f64 (PI.f64) 1/12) f (/.f64 4 (*.f64 (PI.f64) f))) (/.f64 -4 (PI.f64))) 1)) | |
| 14.4b | (+.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)))))) | |
| 62.5b | (*.f64 (log.f64 (*.f64 (sqrt.f64 (+.f64 (exp.f64 (*.f64 (PI.f64) (*.f64 1/4 f))) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))) (*.f64 (sqrt.f64 (+.f64 (exp.f64 (*.f64 (PI.f64) (*.f64 1/4 f))) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))) (/.f64 1 (-.f64 (exp.f64 (*.f64 (PI.f64) (*.f64 1/4 f))) (pow.f64 (exp.f64 -1/4) (*.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))) | |
| 2.0b | (fma.f64 4 (/.f64 (-.f64 (*.f64 (log.f64 f) (/.f64 (PI.f64) (log.f64 (/.f64 4 (PI.f64))))) (PI.f64)) (*.f64 (PI.f64) (/.f64 (PI.f64) (log.f64 (/.f64 4 (PI.f64)))))) (*.f64 (*.f64 f (*.f64 (PI.f64) f)) -1/12)) | |
| ✓ | 1.9b | (fma.f64 4 (-.f64 (log.f64 (pow.f64 f (/.f64 1 (PI.f64)))) (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64))) (*.f64 (*.f64 f (*.f64 (PI.f64) f)) -1/12)) |
| 2.0b | (fma.f64 4 (fma.f64 (fma.f64 (PI.f64) (log.f64 f) (*.f64 (neg.f64 (PI.f64)) (log.f64 (/.f64 4 (PI.f64))))) (/.f64 1 (pow.f64 (PI.f64) 2)) (+.f64 (/.f64 (log.f64 (*.f64 (PI.f64) 1/4)) (PI.f64)) (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)))) (*.f64 (*.f64 f (*.f64 (PI.f64) f)) -1/12)) |
Compiled 15718 to 10154 computations (35.4% saved)
Total 0.8b remaining (34.6%)
Threshold costs 0.8b (34.6%)
Compiled 54582 to 40322 computations (26.1% saved)
| 1× | egg-herbie |
| 5× | *-commutative_binary64 |
| 3× | +-commutative_binary64 |
| 3× | sub-neg_binary64 |
| 2× | neg-sub0_binary64 |
| 2× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 20 | 42 |
| 1 | 27 | 42 |
| 2 | 33 | 42 |
| 3 | 37 | 42 |
| 4 | 40 | 42 |
| 5 | 41 | 42 |
| 1× | saturated |
| Inputs |
|---|
(fma.f64 4 (-.f64 (log.f64 (cbrt.f64 (pow.f64 (pow.f64 f (/.f64 1 (PI.f64))) 3))) (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64))) (*.f64 (*.f64 f (*.f64 (PI.f64) f)) -1/12)) |
| Outputs |
|---|
(fma.f64 4 (-.f64 (log.f64 (cbrt.f64 (pow.f64 (pow.f64 f (/.f64 1 (PI.f64))) 3))) (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64))) (*.f64 (*.f64 f (*.f64 (PI.f64) f)) -1/12)) |
(fma.f64 4 (-.f64 (log.f64 (cbrt.f64 (pow.f64 (pow.f64 f (/.f64 1 (PI.f64))) 3))) (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64))) (*.f64 (*.f64 f (*.f64 f (PI.f64))) -1/12)) |
| 1× | fuel |
Compiled 464 to 337 computations (27.4% saved)
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