Time bar (total: 2.8s)
| 1× | search |
| True | Other | False | Iter |
|---|---|---|---|
| 0% | 100% | 0% | 0 |
| 0% | 100% | 0% | 1 |
| 0% | 100% | 0% | 2 |
| 0% | 100% | 0% | 3 |
| 12.5% | 62.5% | 25% | 4 |
| 18.7% | 43.7% | 37.5% | 5 |
| 21.9% | 34.4% | 43.8% | 6 |
| 23.4% | 29.7% | 46.9% | 7 |
| 24.2% | 27.3% | 48.5% | 8 |
| 24.6% | 26.2% | 49.2% | 9 |
| 24.8% | 25.6% | 49.6% | 10 |
| 24.9% | 25.3% | 49.8% | 11 |
| 24.9% | 25.1% | 49.9% | 12 |
Compiled 11 to 8 computations (27.3% saved)
| 993.0ms | 8256× | body | 256 | valid |
| 918.0ms | 8341× | body | 256 | invalid |
| 2× | egg-herbie |
| 868× | fma-neg_binary64 |
| 799× | unsub-neg_binary64 |
| 450× | distribute-neg-in_binary64 |
| 433× | sub-neg_binary64 |
| 337× | distribute-rgt-out_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 12 |
| 1 | 18 | 12 |
| 2 | 22 | 12 |
| 3 | 37 | 12 |
| 4 | 78 | 12 |
| 5 | 154 | 12 |
| 6 | 360 | 12 |
| 7 | 751 | 12 |
| 8 | 2365 | 12 |
| 9 | 4284 | 12 |
| 10 | 5598 | 12 |
| 11 | 6319 | 12 |
| 12 | 6624 | 12 |
| 13 | 6821 | 12 |
| 14 | 6953 | 12 |
| 15 | 7297 | 12 |
| 16 | 7843 | 12 |
| 0 | 1 | 1 |
| 1× | saturated |
| 1× | node limit |
| Inputs |
|---|
0 |
| Outputs |
|---|
0 |
| Inputs |
|---|
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1)))) |
| Outputs |
|---|
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1)))) |
(log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) |
Compiled 11 to 8 computations (27.3% saved)
| 1× | egg-herbie |
| 868× | fma-neg_binary64 |
| 799× | unsub-neg_binary64 |
| 450× | distribute-neg-in_binary64 |
| 433× | sub-neg_binary64 |
| 337× | distribute-rgt-out_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 12 |
| 1 | 18 | 12 |
| 2 | 22 | 12 |
| 3 | 37 | 12 |
| 4 | 78 | 12 |
| 5 | 154 | 12 |
| 6 | 360 | 12 |
| 7 | 751 | 12 |
| 8 | 2365 | 12 |
| 9 | 4284 | 12 |
| 10 | 5598 | 12 |
| 11 | 6319 | 12 |
| 12 | 6624 | 12 |
| 13 | 6821 | 12 |
| 14 | 6953 | 12 |
| 15 | 7297 | 12 |
| 16 | 7843 | 12 |
| 1× | node limit |
| Inputs |
|---|
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1)))) |
| Outputs |
|---|
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1)))) |
(log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) |
Compiled 18 to 12 computations (33.3% saved)
2 alts after pruning (2 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 | 1 | 2 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 0 | 0 |
| Total | 1 | 2 | 3 |
| Status | Error | Program |
|---|---|---|
| ▶ | 31.2b | (log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1)))) |
Compiled 10 to 7 computations (30% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 29.1b | (sqrt.f64 (-.f64 (*.f64 x x) 1)) | |
| 0.0b | (-.f64 (*.f64 x x) 1) | |
| ✓ | 0.0b | (-.f64 (*.f64 x x) 1) |
| ✓ | 29.1b | (sqrt.f64 (-.f64 (*.f64 x x) 1)) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (sqrt.f64 (-.f64 (*.f64 x x) 1)) |
| 1.0ms | x | @ | inf | (sqrt.f64 (-.f64 (*.f64 x x) 1)) |
| 0.0ms | x | @ | -inf | (sqrt.f64 (-.f64 (*.f64 x x) 1)) |
| 0.0ms | x | @ | inf | (-.f64 (*.f64 x x) 1) |
| 0.0ms | x | @ | 0 | (-.f64 (*.f64 x x) 1) |
| 1× | batch-egg-rewrite |
| 569× | pow1_binary64 |
| 535× | add-log-exp_binary64 |
| 533× | log1p-expm1-u_binary64 |
| 533× | expm1-log1p-u_binary64 |
| 522× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 12 |
| 1 | 129 | 12 |
| 2 | 1586 | 12 |
| 1× | node limit |
| Inputs |
|---|
(sqrt.f64 (-.f64 (*.f64 x x) 1)) |
(-.f64 (*.f64 x x) 1) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (sqrt.f64 (fma.f64 x x -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (fma.f64 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x x -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x x -1))) (cbrt.f64 (fma.f64 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x x -1)) (cbrt.f64 (sqrt.f64 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 x x -1) 1/4) (pow.f64 (fma.f64 x x -1) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 2)) (sqrt.f64 (cbrt.f64 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (fma.f64 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 2) 1/2) (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 x 1) 1/2) (pow.f64 (+.f64 x -1) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (+.f64 (pow.f64 x 4) -1)) (sqrt.f64 (fma.f64 x x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (+.f64 (pow.f64 x 6) -1)) (sqrt.f64 (+.f64 (pow.f64 x 4) (fma.f64 x x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x x -1) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x x -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x x -1) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x x -1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x x -1) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (fma.f64 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x x -1) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (fma.f64 x x -1)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 x x -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x x -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x x -1)) (sqrt.f64 (fma.f64 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x x -1)) (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x x -1)) (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x x -1))) (sqrt.f64 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 2) (cbrt.f64 (fma.f64 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 x x -1) 1/4) (*.f64 (pow.f64 (fma.f64 x x -1) 1/4) (sqrt.f64 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 x 6) -1) (/.f64 1 (+.f64 (pow.f64 x 4) (fma.f64 x x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 x 4) -1) (/.f64 1 (fma.f64 x x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x 1) (+.f64 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x -1) (+.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (fma.f64 x x -1)) (pow.f64 (fma.f64 x x -1) 1/4)) (pow.f64 (fma.f64 x x -1) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (fma.f64 x x -1)) (cbrt.f64 (fma.f64 x x -1))) (cbrt.f64 (sqrt.f64 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 x 4) (fma.f64 x x 1)) (+.f64 (pow.f64 x 6) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x x 1) (+.f64 (pow.f64 x 4) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 6) -1) (+.f64 (pow.f64 x 4) (fma.f64 x x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 6) -1) (+.f64 (pow.f64 x 4) (-.f64 1 (*.f64 (*.f64 x x) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 4) -1) (fma.f64 x x 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 4) -1) (-.f64 (*.f64 x x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 x 6) -1)) (neg.f64 (+.f64 (pow.f64 x 4) (fma.f64 x x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 x 4) -1)) (neg.f64 (fma.f64 x x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x x -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x x -1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x x -1) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x x -1) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x x -1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x x -1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x x -1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (*.f64 (log.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x x -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 x) 2) -1))))) |
| 1× | egg-herbie |
| 673× | associate-/l*_binary64 |
| 564× | unswap-sqr_binary64 |
| 449× | associate-/r*_binary64 |
| 397× | fma-def_binary64 |
| 354× | associate-*l*_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 51 | 276 |
| 1 | 146 | 247 |
| 2 | 383 | 241 |
| 3 | 1230 | 239 |
| 4 | 5710 | 239 |
| 1× | node limit |
| Inputs |
|---|
(sqrt.f64 -1) |
(+.f64 (sqrt.f64 -1) (*.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1)))) |
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3))) (+.f64 (sqrt.f64 -1) (*.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1))))) |
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3))) (+.f64 (sqrt.f64 -1) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1))) (*.f64 1/16 (/.f64 (pow.f64 x 6) (pow.f64 (sqrt.f64 -1) 5)))))) |
x |
(-.f64 x (*.f64 1/2 (/.f64 1 x))) |
(-.f64 x (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))) |
(-.f64 x (+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (*.f64 1/8 (/.f64 1 (pow.f64 x 3)))))) |
(*.f64 -1 x) |
(+.f64 (*.f64 -1 x) (*.f64 1/2 (/.f64 1 x))) |
(+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 -1 x))) |
(+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 -1 x)))) |
-1 |
(-.f64 (pow.f64 x 2) 1) |
(-.f64 (pow.f64 x 2) 1) |
(-.f64 (pow.f64 x 2) 1) |
(pow.f64 x 2) |
(-.f64 (pow.f64 x 2) 1) |
(-.f64 (pow.f64 x 2) 1) |
(-.f64 (pow.f64 x 2) 1) |
(pow.f64 x 2) |
(-.f64 (pow.f64 x 2) 1) |
(-.f64 (pow.f64 x 2) 1) |
(-.f64 (pow.f64 x 2) 1) |
| Outputs |
|---|
(sqrt.f64 -1) |
(+.f64 (sqrt.f64 -1) (*.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1)))) |
(+.f64 (sqrt.f64 -1) (*.f64 1/2 (/.f64 (*.f64 x x) (sqrt.f64 -1)))) |
(fma.f64 1/2 (/.f64 x (/.f64 (sqrt.f64 -1) x)) (sqrt.f64 -1)) |
(fma.f64 1/2 (/.f64 (*.f64 x x) (sqrt.f64 -1)) (sqrt.f64 -1)) |
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3))) (+.f64 (sqrt.f64 -1) (*.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1))))) |
(fma.f64 -1/8 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3)) (+.f64 (sqrt.f64 -1) (*.f64 1/2 (/.f64 (*.f64 x x) (sqrt.f64 -1))))) |
(+.f64 (fma.f64 1/2 (/.f64 x (/.f64 (sqrt.f64 -1) x)) (sqrt.f64 -1)) (*.f64 1/8 (/.f64 (pow.f64 x 4) (sqrt.f64 -1)))) |
(fma.f64 1/2 (/.f64 x (/.f64 (sqrt.f64 -1) x)) (fma.f64 1/8 (/.f64 (pow.f64 x 4) (sqrt.f64 -1)) (sqrt.f64 -1))) |
(+.f64 (sqrt.f64 -1) (*.f64 (/.f64 x (/.f64 (sqrt.f64 -1) x)) (+.f64 1/2 (/.f64 (*.f64 x x) 8)))) |
(+.f64 (sqrt.f64 -1) (*.f64 (/.f64 (*.f64 x x) (sqrt.f64 -1)) (+.f64 1/2 (/.f64 (*.f64 x x) 8)))) |
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3))) (+.f64 (sqrt.f64 -1) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1))) (*.f64 1/16 (/.f64 (pow.f64 x 6) (pow.f64 (sqrt.f64 -1) 5)))))) |
(fma.f64 -1/8 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3)) (+.f64 (sqrt.f64 -1) (fma.f64 1/2 (/.f64 (*.f64 x x) (sqrt.f64 -1)) (*.f64 1/16 (/.f64 (pow.f64 x 6) (pow.f64 (sqrt.f64 -1) 5)))))) |
(+.f64 (sqrt.f64 -1) (+.f64 (fma.f64 1/2 (/.f64 x (/.f64 (sqrt.f64 -1) x)) (/.f64 (*.f64 1/16 (pow.f64 x 6)) (pow.f64 (sqrt.f64 -1) 5))) (*.f64 1/8 (/.f64 (pow.f64 x 4) (sqrt.f64 -1))))) |
(fma.f64 1/8 (/.f64 (pow.f64 x 4) (sqrt.f64 -1)) (fma.f64 1/16 (/.f64 (pow.f64 x 6) (pow.f64 (sqrt.f64 -1) 5)) (fma.f64 1/2 (/.f64 x (/.f64 (sqrt.f64 -1) x)) (sqrt.f64 -1)))) |
(+.f64 (fma.f64 1/16 (/.f64 (pow.f64 x 6) (pow.f64 (sqrt.f64 -1) 5)) (sqrt.f64 -1)) (*.f64 (/.f64 x (/.f64 (sqrt.f64 -1) x)) (+.f64 1/2 (/.f64 (*.f64 x x) 8)))) |
(+.f64 (sqrt.f64 -1) (fma.f64 1/16 (/.f64 (pow.f64 x 6) (pow.f64 (sqrt.f64 -1) 5)) (*.f64 (/.f64 (*.f64 x x) (sqrt.f64 -1)) (+.f64 1/2 (/.f64 (*.f64 x x) 8))))) |
x |
(-.f64 x (*.f64 1/2 (/.f64 1 x))) |
(-.f64 x (/.f64 1/2 x)) |
(+.f64 x (/.f64 -1/2 x)) |
(-.f64 x (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))) |
(-.f64 x (+.f64 (/.f64 1/2 x) (/.f64 1/8 (pow.f64 x 3)))) |
(+.f64 x (-.f64 (/.f64 -1/2 x) (/.f64 1/8 (pow.f64 x 3)))) |
(+.f64 (/.f64 -1/2 x) (+.f64 x (/.f64 -1/8 (pow.f64 x 3)))) |
(-.f64 x (+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (*.f64 1/8 (/.f64 1 (pow.f64 x 3)))))) |
(-.f64 (-.f64 x (/.f64 1/2 x)) (+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 1/16 (pow.f64 x 5)))) |
(+.f64 x (-.f64 (/.f64 -1/2 x) (+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 1/16 (pow.f64 x 5))))) |
(+.f64 (+.f64 (/.f64 -1/2 x) (/.f64 -1/8 (pow.f64 x 3))) (-.f64 x (/.f64 1/16 (pow.f64 x 5)))) |
(-.f64 (+.f64 (/.f64 -1/2 x) (+.f64 x (/.f64 -1/8 (pow.f64 x 3)))) (/.f64 1/16 (pow.f64 x 5))) |
(+.f64 x (+.f64 (-.f64 (/.f64 -1/2 x) (/.f64 1/8 (pow.f64 x 3))) (/.f64 -1/16 (pow.f64 x 5)))) |
(*.f64 -1 x) |
(neg.f64 x) |
(+.f64 (*.f64 -1 x) (*.f64 1/2 (/.f64 1 x))) |
(fma.f64 -1 x (/.f64 1/2 x)) |
(-.f64 (/.f64 1/2 x) x) |
(+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 -1 x))) |
(+.f64 (+.f64 (/.f64 1/2 x) (/.f64 1/8 (pow.f64 x 3))) (neg.f64 x)) |
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (-.f64 (/.f64 1/2 x) x)) |
(+.f64 (/.f64 1/2 x) (-.f64 (/.f64 1/8 (pow.f64 x 3)) x)) |
(-.f64 (/.f64 1/2 x) (+.f64 x (/.f64 -1/8 (pow.f64 x 3)))) |
(+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 -1 x)))) |
(+.f64 (+.f64 (/.f64 1/2 x) (/.f64 1/16 (pow.f64 x 5))) (+.f64 (/.f64 1/8 (pow.f64 x 3)) (neg.f64 x))) |
(+.f64 (/.f64 1/2 x) (+.f64 (/.f64 1/16 (pow.f64 x 5)) (-.f64 (/.f64 1/8 (pow.f64 x 3)) x))) |
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (+.f64 (/.f64 1/16 (pow.f64 x 5)) (-.f64 (/.f64 1/2 x) x))) |
(+.f64 (/.f64 1/16 (pow.f64 x 5)) (-.f64 (/.f64 1/2 x) (+.f64 x (/.f64 -1/8 (pow.f64 x 3))))) |
(+.f64 (/.f64 1/16 (pow.f64 x 5)) (+.f64 (/.f64 1/2 x) (-.f64 (/.f64 1/8 (pow.f64 x 3)) x))) |
-1 |
(-.f64 (pow.f64 x 2) 1) |
(+.f64 (*.f64 x x) -1) |
(fma.f64 x x -1) |
(-.f64 (pow.f64 x 2) 1) |
(+.f64 (*.f64 x x) -1) |
(fma.f64 x x -1) |
(-.f64 (pow.f64 x 2) 1) |
(+.f64 (*.f64 x x) -1) |
(fma.f64 x x -1) |
(pow.f64 x 2) |
(*.f64 x x) |
(-.f64 (pow.f64 x 2) 1) |
(+.f64 (*.f64 x x) -1) |
(fma.f64 x x -1) |
(-.f64 (pow.f64 x 2) 1) |
(+.f64 (*.f64 x x) -1) |
(fma.f64 x x -1) |
(-.f64 (pow.f64 x 2) 1) |
(+.f64 (*.f64 x x) -1) |
(fma.f64 x x -1) |
(pow.f64 x 2) |
(*.f64 x x) |
(-.f64 (pow.f64 x 2) 1) |
(+.f64 (*.f64 x x) -1) |
(fma.f64 x x -1) |
(-.f64 (pow.f64 x 2) 1) |
(+.f64 (*.f64 x x) -1) |
(fma.f64 x x -1) |
(-.f64 (pow.f64 x 2) 1) |
(+.f64 (*.f64 x x) -1) |
(fma.f64 x x -1) |
Compiled 1208 to 880 computations (27.2% saved)
3 alts after pruning (2 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 85 | 2 | 87 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 85 | 3 | 88 |
| Status | Error | Program |
|---|---|---|
| ▶ | 0.6b | (log.f64 (+.f64 x x)) |
| ✓ | 31.2b | (log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1)))) |
| ▶ | 0.3b | (log.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x)))) |
Compiled 24 to 16 computations (33.3% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (+.f64 x (+.f64 x (/.f64 -1/2 x))) | |
| ✓ | 0.0b | (+.f64 x (+.f64 x (/.f64 -1/2 x))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (+.f64 x (+.f64 x (/.f64 -1/2 x))) |
| 0.0ms | x | @ | inf | (+.f64 x (+.f64 x (/.f64 -1/2 x))) |
| 0.0ms | x | @ | -inf | (+.f64 x (+.f64 x (/.f64 -1/2 x))) |
| 1× | batch-egg-rewrite |
| 933× | pow1_binary64 |
| 880× | add-log-exp_binary64 |
| 879× | log1p-expm1-u_binary64 |
| 879× | expm1-log1p-u_binary64 |
| 864× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 10 |
| 1 | 149 | 10 |
| 2 | 2313 | 10 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 x (+.f64 x (/.f64 -1/2 x))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (+.f64 x (+.f64 x (/.f64 -1/2 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 x x) (-.f64 (-.f64 x x) (/.f64 -1/2 x))) (/.f64 (pow.f64 (+.f64 x (/.f64 -1/2 x)) 2) (-.f64 (-.f64 x x) (/.f64 -1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 x (+.f64 x (/.f64 -1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x)))) (pow.f64 (cbrt.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x)))) 2) (cbrt.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x)))) (sqrt.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x (/.f64 -1/2 x)) 3)) (/.f64 1 (fma.f64 x x (*.f64 (+.f64 x (/.f64 -1/2 x)) (-.f64 (+.f64 x (/.f64 -1/2 x)) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 x (/.f64 -1/2 x)) 2)) (/.f64 1 (-.f64 (-.f64 x x) (/.f64 -1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x x (*.f64 (+.f64 x (/.f64 -1/2 x)) (-.f64 (+.f64 x (/.f64 -1/2 x)) x))) (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x (/.f64 -1/2 x)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (-.f64 x x) (/.f64 -1/2 x)) (-.f64 (*.f64 x x) (pow.f64 (+.f64 x (/.f64 -1/2 x)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x (/.f64 -1/2 x)) 3)) (fma.f64 x x (*.f64 (+.f64 x (/.f64 -1/2 x)) (-.f64 (+.f64 x (/.f64 -1/2 x)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x (/.f64 -1/2 x)) 3)) (+.f64 (pow.f64 (+.f64 x (/.f64 -1/2 x)) 2) (-.f64 (*.f64 x x) (*.f64 x (+.f64 x (/.f64 -1/2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 x (/.f64 -1/2 x)) 2)) (-.f64 (-.f64 x x) (/.f64 -1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x (/.f64 -1/2 x)) 3))) (neg.f64 (fma.f64 x x (*.f64 (+.f64 x (/.f64 -1/2 x)) (-.f64 (+.f64 x (/.f64 -1/2 x)) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 x (/.f64 -1/2 x)) 2))) (neg.f64 (-.f64 (-.f64 x x) (/.f64 -1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 x x) 3) (/.f64 -1/8 (pow.f64 x 3))) (+.f64 (*.f64 (+.f64 x x) (+.f64 x x)) (-.f64 (/.f64 1/4 (*.f64 x x)) (*.f64 (+.f64 x x) (/.f64 -1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 x (/.f64 -1/2 x)) 2) (*.f64 x x)) (-.f64 (+.f64 x (/.f64 -1/2 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (+.f64 x x) (+.f64 x x)) (/.f64 1/4 (*.f64 x x))) (-.f64 (+.f64 x x) (/.f64 -1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (+.f64 x (/.f64 -1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 x (/.f64 -1/2 x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 x (/.f64 -1/2 x))) 2) (cbrt.f64 (+.f64 x (/.f64 -1/2 x))) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (+.f64 x (/.f64 -1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 x (/.f64 -1/2 x))) (sqrt.f64 (+.f64 x (/.f64 -1/2 x))) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (+.f64 x (/.f64 -1/2 x))))))) |
| 1× | egg-herbie |
| 120× | fma-def_binary64 |
| 71× | fma-neg_binary64 |
| 32× | cancel-sign-sub-inv_binary64 |
| 30× | associate-/r*_binary64 |
| 23× | associate-/l*_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 102 |
| 1 | 23 | 84 |
| 2 | 37 | 84 |
| 3 | 54 | 84 |
| 4 | 79 | 84 |
| 5 | 116 | 84 |
| 6 | 184 | 84 |
| 7 | 253 | 84 |
| 8 | 336 | 84 |
| 9 | 450 | 84 |
| 10 | 571 | 84 |
| 11 | 581 | 84 |
| 1× | saturated |
| Inputs |
|---|
(/.f64 -1/2 x) |
(-.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x))) |
(-.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x))) |
(-.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x))) |
(*.f64 2 x) |
(-.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x))) |
(-.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x))) |
(-.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x))) |
(*.f64 2 x) |
(-.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x))) |
(-.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x))) |
(-.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x))) |
| Outputs |
|---|
(/.f64 -1/2 x) |
(-.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x))) |
(-.f64 (*.f64 x 2) (/.f64 1/2 x)) |
(fma.f64 x 2 (/.f64 -1/2 x)) |
(-.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x))) |
(-.f64 (*.f64 x 2) (/.f64 1/2 x)) |
(fma.f64 x 2 (/.f64 -1/2 x)) |
(-.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x))) |
(-.f64 (*.f64 x 2) (/.f64 1/2 x)) |
(fma.f64 x 2 (/.f64 -1/2 x)) |
(*.f64 2 x) |
(*.f64 x 2) |
(-.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x))) |
(-.f64 (*.f64 x 2) (/.f64 1/2 x)) |
(fma.f64 x 2 (/.f64 -1/2 x)) |
(-.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x))) |
(-.f64 (*.f64 x 2) (/.f64 1/2 x)) |
(fma.f64 x 2 (/.f64 -1/2 x)) |
(-.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x))) |
(-.f64 (*.f64 x 2) (/.f64 1/2 x)) |
(fma.f64 x 2 (/.f64 -1/2 x)) |
(*.f64 2 x) |
(*.f64 x 2) |
(-.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x))) |
(-.f64 (*.f64 x 2) (/.f64 1/2 x)) |
(fma.f64 x 2 (/.f64 -1/2 x)) |
(-.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x))) |
(-.f64 (*.f64 x 2) (/.f64 1/2 x)) |
(fma.f64 x 2 (/.f64 -1/2 x)) |
(-.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x))) |
(-.f64 (*.f64 x 2) (/.f64 1/2 x)) |
(fma.f64 x 2 (/.f64 -1/2 x)) |
Compiled 644 to 418 computations (35.1% saved)
4 alts after pruning (1 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 39 | 1 | 40 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 2 | 2 |
| Total | 39 | 4 | 43 |
| Status | Error | Program |
|---|---|---|
| ✓ | 0.6b | (log.f64 (+.f64 x x)) |
| ✓ | 31.2b | (log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1)))) |
| ▶ | 31.6b | (log.f64 (/.f64 (-.f64 (*.f64 (+.f64 x x) (+.f64 x x)) (/.f64 1/4 (*.f64 x x))) (-.f64 (+.f64 x x) (/.f64 -1/2 x)))) |
| ✓ | 0.3b | (log.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x)))) |
Compiled 47 to 28 computations (40.4% saved)
Found 6 expressions with local error:
| New | Error | Program |
|---|---|---|
| 29.1b | (/.f64 (-.f64 (*.f64 (+.f64 x x) (+.f64 x x)) (/.f64 1/4 (*.f64 x x))) (-.f64 (+.f64 x x) (/.f64 -1/2 x))) | |
| 0.9b | (/.f64 1/4 (*.f64 x x)) | |
| 0.0b | (-.f64 (*.f64 (+.f64 x x) (+.f64 x x)) (/.f64 1/4 (*.f64 x x))) | |
| ✓ | 0.0b | (-.f64 (*.f64 (+.f64 x x) (+.f64 x x)) (/.f64 1/4 (*.f64 x x))) |
| ✓ | 0.9b | (/.f64 1/4 (*.f64 x x)) |
| ✓ | 29.1b | (/.f64 (-.f64 (*.f64 (+.f64 x x) (+.f64 x x)) (/.f64 1/4 (*.f64 x x))) (-.f64 (+.f64 x x) (/.f64 -1/2 x))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (/.f64 1/4 (*.f64 x x)) |
| 1.0ms | x | @ | 0 | (/.f64 (-.f64 (*.f64 (+.f64 x x) (+.f64 x x)) (/.f64 1/4 (*.f64 x x))) (-.f64 (+.f64 x x) (/.f64 -1/2 x))) |
| 1.0ms | x | @ | inf | (/.f64 (-.f64 (*.f64 (+.f64 x x) (+.f64 x x)) (/.f64 1/4 (*.f64 x x))) (-.f64 (+.f64 x x) (/.f64 -1/2 x))) |
| 1.0ms | x | @ | -inf | (/.f64 (-.f64 (*.f64 (+.f64 x x) (+.f64 x x)) (/.f64 1/4 (*.f64 x x))) (-.f64 (+.f64 x x) (/.f64 -1/2 x))) |
| 0.0ms | x | @ | 0 | (-.f64 (*.f64 (+.f64 x x) (+.f64 x x)) (/.f64 1/4 (*.f64 x x))) |
| 1× | batch-egg-rewrite |
| 712× | fma-neg_binary64 |
| 570× | log-prod_binary64 |
| 292× | log-div_binary64 |
| 197× | expm1-udef_binary64 |
| 197× | log1p-udef_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 51 |
| 1 | 301 | 26 |
| 2 | 5352 | 26 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (-.f64 (*.f64 (+.f64 x x) (+.f64 x x)) (/.f64 1/4 (*.f64 x x))) (-.f64 (+.f64 x x) (/.f64 -1/2 x))) |
(/.f64 1/4 (*.f64 x x)) |
(-.f64 (*.f64 (+.f64 x x) (+.f64 x x)) (/.f64 1/4 (*.f64 x x))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (+.f64 x (/.f64 -1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 (+.f64 x (/.f64 -1/2 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x x) (/.f64 -1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 x 2 (/.f64 -1/2 x)) (fma.f64 (neg.f64 (/.f64 1 x)) -1/2 (/.f64 -1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 x 2 (/.f64 -1/2 x)) (+.f64 (/.f64 -1/2 x) (/.f64 -1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 x 2 (/.f64 -1/2 x)) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 -1/2 x))) (pow.f64 (cbrt.f64 (/.f64 -1/2 x)) 2) (/.f64 -1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 -1/2 x) (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 x x) (fma.f64 x 2 (/.f64 -1/2 x))) (neg.f64 (*.f64 1/4 (/.f64 (pow.f64 x -2) (fma.f64 x 2 (/.f64 -1/2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 x 2 (/.f64 -1/2 x)))))) 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(+.f64 1 (expm1.f64 (+.f64 x x))) (/.f64 1 (pow.f64 (exp.f64 1/4) (pow.f64 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 x x))) (pow.f64 (exp.f64 1/4) (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (exp.f64 2) x) (+.f64 1 (expm1.f64 (*.f64 1/4 (pow.f64 x -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 x x))) (+.f64 1 (expm1.f64 (*.f64 1/4 (pow.f64 x -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (exp.f64 2) x) (/.f64 1 (pow.f64 (exp.f64 1/4) (pow.f64 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 x x))) (/.f64 1 (pow.f64 (exp.f64 1/4) (pow.f64 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (exp.f64 2) x) (exp.f64 (pow.f64 (fma.f64 x 2 (/.f64 -1/2 x)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 x x))) (exp.f64 (pow.f64 (fma.f64 x 2 (/.f64 -1/2 x)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (exp.f64 2) x) (+.f64 1 (expm1.f64 (pow.f64 (fma.f64 x 2 (/.f64 -1/2 x)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 x x))) (+.f64 1 (expm1.f64 (pow.f64 (fma.f64 x 2 (/.f64 -1/2 x)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (exp.f64 1/4) (pow.f64 x -2)) (pow.f64 (exp.f64 2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 1/4 (pow.f64 x -2)))) (pow.f64 (exp.f64 2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (/.f64 1 (pow.f64 (exp.f64 1/4) (pow.f64 x -2))) (pow.f64 (exp.f64 2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (exp.f64 1/4) (pow.f64 x -2)) (+.f64 1 (expm1.f64 (+.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 1/4 (pow.f64 x -2)))) (+.f64 1 (expm1.f64 (+.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (/.f64 1 (pow.f64 (exp.f64 1/4) (pow.f64 x -2))) (+.f64 1 (expm1.f64 (+.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (fma.f64 x 2 (/.f64 -1/2 x)) 2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 (+.f64 x x) (*.f64 1/4 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 (pow.f64 (+.f64 x x) 3/2) (*.f64 1/4 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 (*.f64 (+.f64 x x) (sqrt.f64 x)) (*.f64 1/4 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 (*.f64 (sqrt.f64 x) (+.f64 x x)) (*.f64 1/4 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (fma.f64 x 2 (/.f64 -1/2 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (pow.f64 (fma.f64 x 2 (/.f64 -1/2 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 x 2 (/.f64 -1/2 x)) 2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (fma.f64 x 2 (/.f64 -1/2 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (+.f64 x x) (*.f64 1/4 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 2 (*.f64 1/4 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 x x) x (*.f64 1/4 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 x x) (+.f64 x x) (*.f64 1/4 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 x x) 1 (*.f64 1/4 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 x x) (*.f64 1/4 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 x) (+.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 x) 2)) (*.f64 1/4 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (+.f64 (cbrt.f64 x) (cbrt.f64 x)) (*.f64 1/4 (pow.f64 x -2)))))) (#(struct:change 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(pow.f64 x 3) (*.f64 1/4 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 2) (cbrt.f64 x) (*.f64 1/4 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 2) (sqrt.f64 x) (*.f64 1/4 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (+.f64 x x) 3/2) (pow.f64 (+.f64 x x) 3/2) (*.f64 1/4 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (+.f64 x x) (sqrt.f64 x)) (sqrt.f64 x) (*.f64 1/4 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (+.f64 x x) (sqrt.f64 x)) (*.f64 (+.f64 x x) (sqrt.f64 x)) (*.f64 1/4 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 x) (+.f64 x x)) (*.f64 (sqrt.f64 x) (+.f64 x x)) (*.f64 1/4 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (+.f64 x x) 2) x (*.f64 1/4 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (+.f64 x x) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.f64 1/4 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 2 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.f64 1/4 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 2 (sqrt.f64 x)) (sqrt.f64 x) (*.f64 1/4 (pow.f64 x -2))))))) |
| 1× | egg-herbie |
| 583× | associate-/l/_binary64 |
| 501× | distribute-rgt-neg-in_binary64 |
| 406× | distribute-neg-frac_binary64 |
| 404× | fma-def_binary64 |
| 401× | associate-*l/_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 21 | 351 |
| 1 | 46 | 315 |
| 2 | 86 | 315 |
| 3 | 175 | 315 |
| 4 | 472 | 315 |
| 5 | 1658 | 315 |
| 6 | 5171 | 315 |
| 7 | 7783 | 315 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 -1/2 x) |
(-.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x))) |
(-.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x))) |
(-.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x))) |
(*.f64 2 x) |
(-.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x))) |
(-.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x))) |
(-.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x))) |
(*.f64 2 x) |
(-.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x))) |
(-.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x))) |
(-.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x))) |
(/.f64 1/4 (pow.f64 x 2)) |
(/.f64 1/4 (pow.f64 x 2)) |
(/.f64 1/4 (pow.f64 x 2)) |
(/.f64 1/4 (pow.f64 x 2)) |
(/.f64 1/4 (pow.f64 x 2)) |
(/.f64 1/4 (pow.f64 x 2)) |
(/.f64 1/4 (pow.f64 x 2)) |
(/.f64 1/4 (pow.f64 x 2)) |
(/.f64 1/4 (pow.f64 x 2)) |
(/.f64 1/4 (pow.f64 x 2)) |
(/.f64 1/4 (pow.f64 x 2)) |
(/.f64 1/4 (pow.f64 x 2)) |
(/.f64 -1/4 (pow.f64 x 2)) |
(-.f64 (*.f64 4 (pow.f64 x 2)) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (*.f64 4 (pow.f64 x 2)) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (*.f64 4 (pow.f64 x 2)) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))) |
(*.f64 4 (pow.f64 x 2)) |
(-.f64 (*.f64 4 (pow.f64 x 2)) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (*.f64 4 (pow.f64 x 2)) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (*.f64 4 (pow.f64 x 2)) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))) |
(*.f64 4 (pow.f64 x 2)) |
(-.f64 (*.f64 4 (pow.f64 x 2)) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (*.f64 4 (pow.f64 x 2)) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (*.f64 4 (pow.f64 x 2)) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))) |
| Outputs |
|---|
(/.f64 -1/2 x) |
(-.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x))) |
(-.f64 (*.f64 x 2) (/.f64 1/2 x)) |
(fma.f64 x 2 (/.f64 -1/2 x)) |
(-.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x))) |
(-.f64 (*.f64 x 2) (/.f64 1/2 x)) |
(fma.f64 x 2 (/.f64 -1/2 x)) |
(-.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x))) |
(-.f64 (*.f64 x 2) (/.f64 1/2 x)) |
(fma.f64 x 2 (/.f64 -1/2 x)) |
(*.f64 2 x) |
(*.f64 x 2) |
(-.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x))) |
(-.f64 (*.f64 x 2) (/.f64 1/2 x)) |
(fma.f64 x 2 (/.f64 -1/2 x)) |
(-.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x))) |
(-.f64 (*.f64 x 2) (/.f64 1/2 x)) |
(fma.f64 x 2 (/.f64 -1/2 x)) |
(-.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x))) |
(-.f64 (*.f64 x 2) (/.f64 1/2 x)) |
(fma.f64 x 2 (/.f64 -1/2 x)) |
(*.f64 2 x) |
(*.f64 x 2) |
(-.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x))) |
(-.f64 (*.f64 x 2) (/.f64 1/2 x)) |
(fma.f64 x 2 (/.f64 -1/2 x)) |
(-.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x))) |
(-.f64 (*.f64 x 2) (/.f64 1/2 x)) |
(fma.f64 x 2 (/.f64 -1/2 x)) |
(-.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x))) |
(-.f64 (*.f64 x 2) (/.f64 1/2 x)) |
(fma.f64 x 2 (/.f64 -1/2 x)) |
(/.f64 1/4 (pow.f64 x 2)) |
(/.f64 1/4 (*.f64 x x)) |
(/.f64 1/4 (pow.f64 x 2)) |
(/.f64 1/4 (*.f64 x x)) |
(/.f64 1/4 (pow.f64 x 2)) |
(/.f64 1/4 (*.f64 x x)) |
(/.f64 1/4 (pow.f64 x 2)) |
(/.f64 1/4 (*.f64 x x)) |
(/.f64 1/4 (pow.f64 x 2)) |
(/.f64 1/4 (*.f64 x x)) |
(/.f64 1/4 (pow.f64 x 2)) |
(/.f64 1/4 (*.f64 x x)) |
(/.f64 1/4 (pow.f64 x 2)) |
(/.f64 1/4 (*.f64 x x)) |
(/.f64 1/4 (pow.f64 x 2)) |
(/.f64 1/4 (*.f64 x x)) |
(/.f64 1/4 (pow.f64 x 2)) |
(/.f64 1/4 (*.f64 x x)) |
(/.f64 1/4 (pow.f64 x 2)) |
(/.f64 1/4 (*.f64 x x)) |
(/.f64 1/4 (pow.f64 x 2)) |
(/.f64 1/4 (*.f64 x x)) |
(/.f64 1/4 (pow.f64 x 2)) |
(/.f64 1/4 (*.f64 x x)) |
(/.f64 -1/4 (pow.f64 x 2)) |
(/.f64 -1/4 (*.f64 x x)) |
(-.f64 (*.f64 4 (pow.f64 x 2)) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (*.f64 (*.f64 x x) 4) (/.f64 1/4 (*.f64 x x))) |
(fma.f64 (*.f64 x x) 4 (/.f64 -1/4 (*.f64 x x))) |
(fma.f64 x (*.f64 x 4) (/.f64 -1/4 (*.f64 x x))) |
(-.f64 (*.f64 4 (pow.f64 x 2)) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (*.f64 (*.f64 x x) 4) (/.f64 1/4 (*.f64 x x))) |
(fma.f64 (*.f64 x x) 4 (/.f64 -1/4 (*.f64 x x))) |
(fma.f64 x (*.f64 x 4) (/.f64 -1/4 (*.f64 x x))) |
(-.f64 (*.f64 4 (pow.f64 x 2)) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (*.f64 (*.f64 x x) 4) (/.f64 1/4 (*.f64 x x))) |
(fma.f64 (*.f64 x x) 4 (/.f64 -1/4 (*.f64 x x))) |
(fma.f64 x (*.f64 x 4) (/.f64 -1/4 (*.f64 x x))) |
(*.f64 4 (pow.f64 x 2)) |
(*.f64 (*.f64 x x) 4) |
(*.f64 x (*.f64 x 4)) |
(-.f64 (*.f64 4 (pow.f64 x 2)) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (*.f64 (*.f64 x x) 4) (/.f64 1/4 (*.f64 x x))) |
(fma.f64 (*.f64 x x) 4 (/.f64 -1/4 (*.f64 x x))) |
(fma.f64 x (*.f64 x 4) (/.f64 -1/4 (*.f64 x x))) |
(-.f64 (*.f64 4 (pow.f64 x 2)) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (*.f64 (*.f64 x x) 4) (/.f64 1/4 (*.f64 x x))) |
(fma.f64 (*.f64 x x) 4 (/.f64 -1/4 (*.f64 x x))) |
(fma.f64 x (*.f64 x 4) (/.f64 -1/4 (*.f64 x x))) |
(-.f64 (*.f64 4 (pow.f64 x 2)) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (*.f64 (*.f64 x x) 4) (/.f64 1/4 (*.f64 x x))) |
(fma.f64 (*.f64 x x) 4 (/.f64 -1/4 (*.f64 x x))) |
(fma.f64 x (*.f64 x 4) (/.f64 -1/4 (*.f64 x x))) |
(*.f64 4 (pow.f64 x 2)) |
(*.f64 (*.f64 x x) 4) |
(*.f64 x (*.f64 x 4)) |
(-.f64 (*.f64 4 (pow.f64 x 2)) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (*.f64 (*.f64 x x) 4) (/.f64 1/4 (*.f64 x x))) |
(fma.f64 (*.f64 x x) 4 (/.f64 -1/4 (*.f64 x x))) |
(fma.f64 x (*.f64 x 4) (/.f64 -1/4 (*.f64 x x))) |
(-.f64 (*.f64 4 (pow.f64 x 2)) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (*.f64 (*.f64 x x) 4) (/.f64 1/4 (*.f64 x x))) |
(fma.f64 (*.f64 x x) 4 (/.f64 -1/4 (*.f64 x x))) |
(fma.f64 x (*.f64 x 4) (/.f64 -1/4 (*.f64 x x))) |
(-.f64 (*.f64 4 (pow.f64 x 2)) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (*.f64 (*.f64 x x) 4) (/.f64 1/4 (*.f64 x x))) |
(fma.f64 (*.f64 x x) 4 (/.f64 -1/4 (*.f64 x x))) |
(fma.f64 x (*.f64 x 4) (/.f64 -1/4 (*.f64 x x))) |
Compiled 6450 to 4058 computations (37.1% saved)
4 alts after pruning (0 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 301 | 0 | 301 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 3 | 3 |
| Total | 301 | 4 | 305 |
| Status | Error | Program |
|---|---|---|
| ✓ | 0.6b | (log.f64 (+.f64 x x)) |
| ✓ | 31.2b | (log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1)))) |
| ✓ | 31.6b | (log.f64 (/.f64 (-.f64 (*.f64 (+.f64 x x) (+.f64 x x)) (/.f64 1/4 (*.f64 x x))) (-.f64 (+.f64 x x) (/.f64 -1/2 x)))) |
| ✓ | 0.3b | (log.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x)))) |
Compiled 47 to 28 computations (40.4% saved)
Total -31.5b remaining (-9105.6%)
Threshold costs -31.5b (-9105.6%)
| Inputs |
|---|
(log.f64 (+.f64 x x)) |
(log.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x)))) |
(log.f64 (/.f64 (-.f64 (*.f64 (+.f64 x x) (+.f64 x x)) (/.f64 1/4 (*.f64 x x))) (-.f64 (+.f64 x x) (/.f64 -1/2 x)))) |
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1)))) |
| Outputs |
|---|
(log.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x)))) |
3 calls:
| 5.0ms | (log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1)))) |
| 4.0ms | x |
| 4.0ms | (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))) |
| Error | Segments | Branch |
|---|---|---|
| 0.3b | 1 | x |
| 0.3b | 1 | (log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1)))) |
| 0.3b | 1 | (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))) |
Compiled 65 to 37 computations (43.1% saved)
| 1× | egg-herbie |
| 2× | +-commutative_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 18 |
| 1 | 11 | 18 |
| 1× | saturated |
| Inputs |
|---|
(log.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x)))) |
(log.f64 (+.f64 x x)) |
| Outputs |
|---|
(log.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x)))) |
(log.f64 (+.f64 x x)) |
| 1× | done |
Compiled 27 to 17 computations (37% saved)
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