Time bar (total: 5.7s)
| 1× | search |
| True | Other | False | Iter |
|---|---|---|---|
| 0% | 99.9% | 0.1% | 0 |
| 0% | 99.9% | 0.1% | 1 |
| 0% | 99.9% | 0.1% | 2 |
| 0% | 99.9% | 0.1% | 3 |
| 0% | 99.9% | 0.1% | 4 |
| 0% | 99.9% | 0.1% | 5 |
| 0% | 99.9% | 0.1% | 6 |
| 12.5% | 87.4% | 0.1% | 7 |
| 18.7% | 81.1% | 0.1% | 8 |
| 28.1% | 71.8% | 0.1% | 9 |
| 34.3% | 56.9% | 8.7% | 10 |
| 40.6% | 49.9% | 9.5% | 11 |
| 48% | 41.9% | 10.1% | 12 |
Compiled 11 to 8 computations (27.3% saved)
| 1.1s | 8256× | body | 256 | valid |
| 149.0ms | 1153× | body | 256 | invalid |
| 2× | egg-herbie |
| 1773× | fma-neg_binary64 |
| 1050× | fma-def_binary64 |
| 360× | unsub-neg_binary64 |
| 348× | distribute-rgt-in_binary64 |
| 333× | sub-neg_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 16 | 40 |
| 1 | 30 | 40 |
| 2 | 82 | 40 |
| 3 | 226 | 40 |
| 4 | 705 | 40 |
| 5 | 1931 | 40 |
| 6 | 3353 | 40 |
| 7 | 5221 | 40 |
| 8 | 5753 | 40 |
| 9 | 5861 | 40 |
| 10 | 5861 | 40 |
| 11 | 5972 | 40 |
| 12 | 5972 | 40 |
| 13 | 7115 | 40 |
| 14 | 7115 | 40 |
| 0 | 3 | 3 |
| 1 | 3 | 3 |
| 1× | unsound |
| 1× | saturated |
| Inputs |
|---|
0 |
1 |
2 |
| Outputs |
|---|
0 |
1 |
0 |
2 |
| Inputs |
|---|
(*.f64 (+.f64 x y) (-.f64 1 z)) |
(*.f64 (+.f64 y x) (-.f64 1 z)) |
(*.f64 (+.f64 z y) (-.f64 1 x)) |
(*.f64 (+.f64 x z) (-.f64 1 y)) |
| Outputs |
|---|
(*.f64 (+.f64 x y) (-.f64 1 z)) |
(*.f64 (-.f64 1 z) (+.f64 x y)) |
(*.f64 (+.f64 y x) (-.f64 1 z)) |
(*.f64 (-.f64 1 z) (+.f64 x y)) |
(*.f64 (+.f64 z y) (-.f64 1 x)) |
(*.f64 (+.f64 y z) (-.f64 1 x)) |
(*.f64 (+.f64 x z) (-.f64 1 y)) |
(sort x y)
Compiled 13 to 10 computations (23.1% saved)
| 1× | egg-herbie |
| 673× | fma-neg_binary64 |
| 459× | fma-def_binary64 |
| 156× | cancel-sign-sub-inv_binary64 |
| 136× | distribute-rgt-in_binary64 |
| 117× | sub-neg_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 10 |
| 1 | 14 | 10 |
| 2 | 32 | 10 |
| 3 | 82 | 10 |
| 4 | 261 | 10 |
| 5 | 701 | 10 |
| 6 | 1215 | 10 |
| 7 | 1945 | 10 |
| 8 | 2505 | 10 |
| 9 | 2838 | 10 |
| 10 | 2873 | 10 |
| 11 | 2873 | 10 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 (+.f64 x y) (-.f64 1 z)) |
| Outputs |
|---|
(*.f64 (+.f64 x y) (-.f64 1 z)) |
Compiled 10 to 7 computations (30% saved)
2 alts after pruning (2 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 0 | 1 | 1 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 0 | 0 |
| Total | 0 | 2 | 2 |
| Status | Error | Program |
|---|---|---|
| ▶ | 0.0b | (*.f64 (+.f64 x y) (-.f64 1 z)) |
Compiled 10 to 7 computations (30% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (*.f64 (+.f64 x y) (-.f64 1 z)) |
Compiled 20 to 10 computations (50% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | z | @ | 0 | (*.f64 (+.f64 x y) (-.f64 1 z)) |
| 1.0ms | x | @ | inf | (*.f64 (+.f64 x y) (-.f64 1 z)) |
| 1.0ms | x | @ | 0 | (*.f64 (+.f64 x y) (-.f64 1 z)) |
| 1.0ms | z | @ | inf | (*.f64 (+.f64 x y) (-.f64 1 z)) |
| 1.0ms | y | @ | inf | (*.f64 (+.f64 x y) (-.f64 1 z)) |
| 1× | batch-egg-rewrite |
| 974× | pow1_binary64 |
| 905× | add-log-exp_binary64 |
| 905× | log1p-expm1-u_binary64 |
| 905× | expm1-log1p-u_binary64 |
| 90× | add-sqr-sqrt_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 10 |
| 1 | 171 | 10 |
| 2 | 2363 | 10 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (+.f64 x y) (-.f64 1 z)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x y) (*.f64 (neg.f64 z) (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x y) (*.f64 (+.f64 x y) (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (-.f64 1 z)) (*.f64 y (-.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y (-.f64 1 z)) (*.f64 x (-.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (-.f64 1 z) x) (*.f64 (-.f64 1 z) y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (-.f64 1 z) y) (*.f64 (-.f64 1 z) x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 x y) (-.f64 1 z)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 x 3) (pow.f64 y 3)) (-.f64 1 (pow.f64 z 3))) (*.f64 (fma.f64 x x (*.f64 y (-.f64 y x))) (+.f64 1 (fma.f64 z z z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (-.f64 1 (pow.f64 z 3))) (*.f64 (-.f64 x y) (+.f64 1 (fma.f64 z z z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 x 3) (pow.f64 y 3)) (-.f64 1 (*.f64 z z))) (*.f64 (fma.f64 x x (*.f64 y (-.f64 y x))) (+.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (-.f64 1 (*.f64 z z))) (*.f64 (-.f64 x y) (+.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 z 3)) (+.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 (+.f64 1 (fma.f64 z z z)) (fma.f64 x x (*.f64 y (-.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (*.f64 z z)) (+.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 (+.f64 1 z) (fma.f64 x x (*.f64 y (-.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 z 3)) (-.f64 (*.f64 x x) (*.f64 y y))) (*.f64 (+.f64 1 (fma.f64 z z z)) (-.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (*.f64 z z)) (-.f64 (*.f64 x x) (*.f64 y y))) (*.f64 (+.f64 1 z) (-.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 x 3) (pow.f64 y 3)) (-.f64 1 z)) (fma.f64 x x (*.f64 y (-.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (-.f64 1 z)) (-.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 z 3)) (+.f64 x y)) (+.f64 1 (fma.f64 z z z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (*.f64 z z)) (+.f64 x y)) (+.f64 1 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 x y) (-.f64 1 (pow.f64 z 3))) (+.f64 1 (fma.f64 z z z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 x y) (-.f64 1 (*.f64 z z))) (+.f64 1 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 z) (+.f64 (pow.f64 x 3) (pow.f64 y 3))) (fma.f64 x x (*.f64 y (-.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 z) (-.f64 (*.f64 x x) (*.f64 y y))) (-.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (+.f64 x y) (-.f64 1 z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (+.f64 x y) (-.f64 1 z)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (+.f64 x y) (-.f64 1 z))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (+.f64 x y) (-.f64 1 z))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (+.f64 x y) (-.f64 1 z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (+.f64 x y)) (-.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 x y) (-.f64 1 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (+.f64 x y) (-.f64 1 z)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (+.f64 x y) 3) (pow.f64 (-.f64 1 z) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (-.f64 1 z) 3) (pow.f64 (+.f64 x y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (+.f64 x y) (-.f64 1 z))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (+.f64 x y) (-.f64 1 z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (+.f64 x y) (-.f64 1 z)))))))) |
| 1× | egg-herbie |
| 862× | fma-def_binary64 |
| 687× | fma-neg_binary64 |
| 137× | associate--r+_binary64 |
| 135× | sub-neg_binary64 |
| 130× | distribute-rgt-in_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 17 | 442 |
| 1 | 40 | 334 |
| 2 | 95 | 334 |
| 3 | 266 | 334 |
| 4 | 484 | 334 |
| 5 | 1109 | 334 |
| 6 | 2033 | 334 |
| 7 | 2761 | 334 |
| 8 | 3101 | 334 |
| 9 | 3105 | 334 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 y (-.f64 1 z)) |
(+.f64 (*.f64 (-.f64 1 z) x) (*.f64 y (-.f64 1 z))) |
(+.f64 (*.f64 (-.f64 1 z) x) (*.f64 y (-.f64 1 z))) |
(+.f64 (*.f64 (-.f64 1 z) x) (*.f64 y (-.f64 1 z))) |
(*.f64 (-.f64 1 z) x) |
(+.f64 (*.f64 y (-.f64 1 z)) (*.f64 (-.f64 1 z) x)) |
(+.f64 (*.f64 y (-.f64 1 z)) (*.f64 (-.f64 1 z) x)) |
(+.f64 (*.f64 y (-.f64 1 z)) (*.f64 (-.f64 1 z) x)) |
(*.f64 (-.f64 1 z) x) |
(+.f64 (*.f64 y (-.f64 1 z)) (*.f64 (-.f64 1 z) x)) |
(+.f64 (*.f64 y (-.f64 1 z)) (*.f64 (-.f64 1 z) x)) |
(+.f64 (*.f64 y (-.f64 1 z)) (*.f64 (-.f64 1 z) x)) |
(*.f64 (-.f64 1 z) x) |
(+.f64 (*.f64 y (-.f64 1 z)) (*.f64 (-.f64 1 z) x)) |
(+.f64 (*.f64 y (-.f64 1 z)) (*.f64 (-.f64 1 z) x)) |
(+.f64 (*.f64 y (-.f64 1 z)) (*.f64 (-.f64 1 z) x)) |
(*.f64 y (-.f64 1 z)) |
(+.f64 (*.f64 (-.f64 1 z) x) (*.f64 y (-.f64 1 z))) |
(+.f64 (*.f64 (-.f64 1 z) x) (*.f64 y (-.f64 1 z))) |
(+.f64 (*.f64 (-.f64 1 z) x) (*.f64 y (-.f64 1 z))) |
(*.f64 y (-.f64 1 z)) |
(+.f64 (*.f64 (-.f64 1 z) x) (*.f64 y (-.f64 1 z))) |
(+.f64 (*.f64 (-.f64 1 z) x) (*.f64 y (-.f64 1 z))) |
(+.f64 (*.f64 (-.f64 1 z) x) (*.f64 y (-.f64 1 z))) |
(+.f64 y x) |
(+.f64 (*.f64 -1 (*.f64 (+.f64 y x) z)) (+.f64 y x)) |
(+.f64 (*.f64 -1 (*.f64 (+.f64 y x) z)) (+.f64 y x)) |
(+.f64 (*.f64 -1 (*.f64 (+.f64 y x) z)) (+.f64 y x)) |
(*.f64 -1 (*.f64 (+.f64 y x) z)) |
(+.f64 y (+.f64 (*.f64 -1 (*.f64 (+.f64 y x) z)) x)) |
(+.f64 y (+.f64 (*.f64 -1 (*.f64 (+.f64 y x) z)) x)) |
(+.f64 y (+.f64 (*.f64 -1 (*.f64 (+.f64 y x) z)) x)) |
(*.f64 -1 (*.f64 (+.f64 y x) z)) |
(+.f64 y (+.f64 (*.f64 -1 (*.f64 (+.f64 y x) z)) x)) |
(+.f64 y (+.f64 (*.f64 -1 (*.f64 (+.f64 y x) z)) x)) |
(+.f64 y (+.f64 (*.f64 -1 (*.f64 (+.f64 y x) z)) x)) |
| Outputs |
|---|
(*.f64 y (-.f64 1 z)) |
(-.f64 y (*.f64 y z)) |
(+.f64 (*.f64 (-.f64 1 z) x) (*.f64 y (-.f64 1 z))) |
(fma.f64 y (-.f64 1 z) (*.f64 (-.f64 1 z) x)) |
(*.f64 (-.f64 1 z) (+.f64 y x)) |
(+.f64 (*.f64 (-.f64 1 z) x) (*.f64 y (-.f64 1 z))) |
(fma.f64 y (-.f64 1 z) (*.f64 (-.f64 1 z) x)) |
(*.f64 (-.f64 1 z) (+.f64 y x)) |
(+.f64 (*.f64 (-.f64 1 z) x) (*.f64 y (-.f64 1 z))) |
(fma.f64 y (-.f64 1 z) (*.f64 (-.f64 1 z) x)) |
(*.f64 (-.f64 1 z) (+.f64 y x)) |
(*.f64 (-.f64 1 z) x) |
(-.f64 x (*.f64 z x)) |
(+.f64 (*.f64 y (-.f64 1 z)) (*.f64 (-.f64 1 z) x)) |
(fma.f64 y (-.f64 1 z) (*.f64 (-.f64 1 z) x)) |
(*.f64 (-.f64 1 z) (+.f64 y x)) |
(+.f64 (*.f64 y (-.f64 1 z)) (*.f64 (-.f64 1 z) x)) |
(fma.f64 y (-.f64 1 z) (*.f64 (-.f64 1 z) x)) |
(*.f64 (-.f64 1 z) (+.f64 y x)) |
(+.f64 (*.f64 y (-.f64 1 z)) (*.f64 (-.f64 1 z) x)) |
(fma.f64 y (-.f64 1 z) (*.f64 (-.f64 1 z) x)) |
(*.f64 (-.f64 1 z) (+.f64 y x)) |
(*.f64 (-.f64 1 z) x) |
(-.f64 x (*.f64 z x)) |
(+.f64 (*.f64 y (-.f64 1 z)) (*.f64 (-.f64 1 z) x)) |
(fma.f64 y (-.f64 1 z) (*.f64 (-.f64 1 z) x)) |
(*.f64 (-.f64 1 z) (+.f64 y x)) |
(+.f64 (*.f64 y (-.f64 1 z)) (*.f64 (-.f64 1 z) x)) |
(fma.f64 y (-.f64 1 z) (*.f64 (-.f64 1 z) x)) |
(*.f64 (-.f64 1 z) (+.f64 y x)) |
(+.f64 (*.f64 y (-.f64 1 z)) (*.f64 (-.f64 1 z) x)) |
(fma.f64 y (-.f64 1 z) (*.f64 (-.f64 1 z) x)) |
(*.f64 (-.f64 1 z) (+.f64 y x)) |
(*.f64 (-.f64 1 z) x) |
(-.f64 x (*.f64 z x)) |
(+.f64 (*.f64 y (-.f64 1 z)) (*.f64 (-.f64 1 z) x)) |
(fma.f64 y (-.f64 1 z) (*.f64 (-.f64 1 z) x)) |
(*.f64 (-.f64 1 z) (+.f64 y x)) |
(+.f64 (*.f64 y (-.f64 1 z)) (*.f64 (-.f64 1 z) x)) |
(fma.f64 y (-.f64 1 z) (*.f64 (-.f64 1 z) x)) |
(*.f64 (-.f64 1 z) (+.f64 y x)) |
(+.f64 (*.f64 y (-.f64 1 z)) (*.f64 (-.f64 1 z) x)) |
(fma.f64 y (-.f64 1 z) (*.f64 (-.f64 1 z) x)) |
(*.f64 (-.f64 1 z) (+.f64 y x)) |
(*.f64 y (-.f64 1 z)) |
(-.f64 y (*.f64 y z)) |
(+.f64 (*.f64 (-.f64 1 z) x) (*.f64 y (-.f64 1 z))) |
(fma.f64 y (-.f64 1 z) (*.f64 (-.f64 1 z) x)) |
(*.f64 (-.f64 1 z) (+.f64 y x)) |
(+.f64 (*.f64 (-.f64 1 z) x) (*.f64 y (-.f64 1 z))) |
(fma.f64 y (-.f64 1 z) (*.f64 (-.f64 1 z) x)) |
(*.f64 (-.f64 1 z) (+.f64 y x)) |
(+.f64 (*.f64 (-.f64 1 z) x) (*.f64 y (-.f64 1 z))) |
(fma.f64 y (-.f64 1 z) (*.f64 (-.f64 1 z) x)) |
(*.f64 (-.f64 1 z) (+.f64 y x)) |
(*.f64 y (-.f64 1 z)) |
(-.f64 y (*.f64 y z)) |
(+.f64 (*.f64 (-.f64 1 z) x) (*.f64 y (-.f64 1 z))) |
(fma.f64 y (-.f64 1 z) (*.f64 (-.f64 1 z) x)) |
(*.f64 (-.f64 1 z) (+.f64 y x)) |
(+.f64 (*.f64 (-.f64 1 z) x) (*.f64 y (-.f64 1 z))) |
(fma.f64 y (-.f64 1 z) (*.f64 (-.f64 1 z) x)) |
(*.f64 (-.f64 1 z) (+.f64 y x)) |
(+.f64 (*.f64 (-.f64 1 z) x) (*.f64 y (-.f64 1 z))) |
(fma.f64 y (-.f64 1 z) (*.f64 (-.f64 1 z) x)) |
(*.f64 (-.f64 1 z) (+.f64 y x)) |
(+.f64 y x) |
(+.f64 (*.f64 -1 (*.f64 (+.f64 y x) z)) (+.f64 y x)) |
(fma.f64 y (-.f64 1 z) (*.f64 (-.f64 1 z) x)) |
(*.f64 (-.f64 1 z) (+.f64 y x)) |
(+.f64 (*.f64 -1 (*.f64 (+.f64 y x) z)) (+.f64 y x)) |
(fma.f64 y (-.f64 1 z) (*.f64 (-.f64 1 z) x)) |
(*.f64 (-.f64 1 z) (+.f64 y x)) |
(+.f64 (*.f64 -1 (*.f64 (+.f64 y x) z)) (+.f64 y x)) |
(fma.f64 y (-.f64 1 z) (*.f64 (-.f64 1 z) x)) |
(*.f64 (-.f64 1 z) (+.f64 y x)) |
(*.f64 -1 (*.f64 (+.f64 y x) z)) |
(neg.f64 (*.f64 z (+.f64 y x))) |
(*.f64 z (neg.f64 (+.f64 y x))) |
(*.f64 (+.f64 y x) (neg.f64 z)) |
(*.f64 z (-.f64 (neg.f64 y) x)) |
(+.f64 y (+.f64 (*.f64 -1 (*.f64 (+.f64 y x) z)) x)) |
(fma.f64 y (-.f64 1 z) (*.f64 (-.f64 1 z) x)) |
(*.f64 (-.f64 1 z) (+.f64 y x)) |
(+.f64 y (+.f64 (*.f64 -1 (*.f64 (+.f64 y x) z)) x)) |
(fma.f64 y (-.f64 1 z) (*.f64 (-.f64 1 z) x)) |
(*.f64 (-.f64 1 z) (+.f64 y x)) |
(+.f64 y (+.f64 (*.f64 -1 (*.f64 (+.f64 y x) z)) x)) |
(fma.f64 y (-.f64 1 z) (*.f64 (-.f64 1 z) x)) |
(*.f64 (-.f64 1 z) (+.f64 y x)) |
(*.f64 -1 (*.f64 (+.f64 y x) z)) |
(neg.f64 (*.f64 z (+.f64 y x))) |
(*.f64 z (neg.f64 (+.f64 y x))) |
(*.f64 (+.f64 y x) (neg.f64 z)) |
(*.f64 z (-.f64 (neg.f64 y) x)) |
(+.f64 y (+.f64 (*.f64 -1 (*.f64 (+.f64 y x) z)) x)) |
(fma.f64 y (-.f64 1 z) (*.f64 (-.f64 1 z) x)) |
(*.f64 (-.f64 1 z) (+.f64 y x)) |
(+.f64 y (+.f64 (*.f64 -1 (*.f64 (+.f64 y x) z)) x)) |
(fma.f64 y (-.f64 1 z) (*.f64 (-.f64 1 z) x)) |
(*.f64 (-.f64 1 z) (+.f64 y x)) |
(+.f64 y (+.f64 (*.f64 -1 (*.f64 (+.f64 y x) z)) x)) |
(fma.f64 y (-.f64 1 z) (*.f64 (-.f64 1 z) x)) |
(*.f64 (-.f64 1 z) (+.f64 y x)) |
Compiled 624 to 311 computations (50.2% saved)
7 alts after pruning (6 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 42 | 6 | 48 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 42 | 7 | 49 |
| Status | Error | Program |
|---|---|---|
| ✓ | 0.0b | (*.f64 (+.f64 x y) (-.f64 1 z)) |
| ▶ | 31.7b | (-.f64 y (*.f64 y z)) |
| ▶ | 31.7b | (*.f64 y (-.f64 1 z)) |
| 38.7b | (*.f64 z (-.f64 (neg.f64 y) x)) | |
| ▶ | 24.9b | (+.f64 y x) |
| ▶ | 31.6b | (-.f64 x (*.f64 z x)) |
| ▶ | 31.6b | (*.f64 (-.f64 1 z) x) |
Compiled 104 to 71 computations (31.7% saved)
Compiled 8 to 4 computations (50% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (*.f64 y (-.f64 1 z)) |
Compiled 14 to 9 computations (35.7% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | 0 | (*.f64 y (-.f64 1 z)) |
| 1.0ms | y | @ | inf | (*.f64 y (-.f64 1 z)) |
| 1.0ms | y | @ | -inf | (*.f64 y (-.f64 1 z)) |
| 1.0ms | z | @ | inf | (*.f64 y (-.f64 1 z)) |
| 1.0ms | z | @ | -inf | (*.f64 y (-.f64 1 z)) |
| 1× | batch-egg-rewrite |
| 617× | pow1_binary64 |
| 572× | add-log-exp_binary64 |
| 572× | log1p-expm1-u_binary64 |
| 572× | expm1-log1p-u_binary64 |
| 561× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 7 |
| 1 | 122 | 7 |
| 2 | 1510 | 7 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 y (-.f64 1 z)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 y (*.f64 (neg.f64 z) y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 y (*.f64 y (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 y (-.f64 1 z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 z 3)) y) (+.f64 1 (fma.f64 z z z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (*.f64 z z)) y) (+.f64 1 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (-.f64 1 (pow.f64 z 3))) (+.f64 1 (fma.f64 z z z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (-.f64 1 (*.f64 z z))) (+.f64 1 z))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y (-.f64 1 z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 y (-.f64 1 z)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 y (-.f64 1 z))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 y (-.f64 1 z))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 y (-.f64 1 z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 y) (-.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 y (-.f64 1 z)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 y (-.f64 1 z))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 y (-.f64 1 z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 y (-.f64 1 z)))))))) |
| 1× | egg-herbie |
| 133× | fma-def_binary64 |
| 90× | fma-neg_binary64 |
| 22× | cancel-sign-sub-inv_binary64 |
| 21× | associate-*r*_binary64 |
| 17× | associate-*l*_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 85 |
| 1 | 14 | 76 |
| 2 | 30 | 76 |
| 3 | 46 | 76 |
| 4 | 64 | 76 |
| 5 | 128 | 76 |
| 6 | 253 | 76 |
| 7 | 359 | 76 |
| 8 | 457 | 76 |
| 9 | 533 | 76 |
| 1× | saturated |
| Inputs |
|---|
y |
(+.f64 (*.f64 -1 (*.f64 y z)) y) |
(+.f64 (*.f64 -1 (*.f64 y z)) y) |
(+.f64 (*.f64 -1 (*.f64 y z)) y) |
(*.f64 -1 (*.f64 y z)) |
(+.f64 y (*.f64 -1 (*.f64 y z))) |
(+.f64 y (*.f64 -1 (*.f64 y z))) |
(+.f64 y (*.f64 -1 (*.f64 y z))) |
(*.f64 -1 (*.f64 y z)) |
(+.f64 y (*.f64 -1 (*.f64 y z))) |
(+.f64 y (*.f64 -1 (*.f64 y z))) |
(+.f64 y (*.f64 -1 (*.f64 y z))) |
| Outputs |
|---|
y |
(+.f64 (*.f64 -1 (*.f64 y z)) y) |
(fma.f64 -1 (*.f64 y z) y) |
(-.f64 y (*.f64 y z)) |
(fma.f64 y (neg.f64 z) y) |
(*.f64 y (-.f64 1 z)) |
(+.f64 (*.f64 -1 (*.f64 y z)) y) |
(fma.f64 -1 (*.f64 y z) y) |
(-.f64 y (*.f64 y z)) |
(fma.f64 y (neg.f64 z) y) |
(*.f64 y (-.f64 1 z)) |
(+.f64 (*.f64 -1 (*.f64 y z)) y) |
(fma.f64 -1 (*.f64 y z) y) |
(-.f64 y (*.f64 y z)) |
(fma.f64 y (neg.f64 z) y) |
(*.f64 y (-.f64 1 z)) |
(*.f64 -1 (*.f64 y z)) |
(neg.f64 (*.f64 y z)) |
(*.f64 y (neg.f64 z)) |
(+.f64 y (*.f64 -1 (*.f64 y z))) |
(fma.f64 -1 (*.f64 y z) y) |
(-.f64 y (*.f64 y z)) |
(fma.f64 y (neg.f64 z) y) |
(*.f64 y (-.f64 1 z)) |
(+.f64 y (*.f64 -1 (*.f64 y z))) |
(fma.f64 -1 (*.f64 y z) y) |
(-.f64 y (*.f64 y z)) |
(fma.f64 y (neg.f64 z) y) |
(*.f64 y (-.f64 1 z)) |
(+.f64 y (*.f64 -1 (*.f64 y z))) |
(fma.f64 -1 (*.f64 y z) y) |
(-.f64 y (*.f64 y z)) |
(fma.f64 y (neg.f64 z) y) |
(*.f64 y (-.f64 1 z)) |
(*.f64 -1 (*.f64 y z)) |
(neg.f64 (*.f64 y z)) |
(*.f64 y (neg.f64 z)) |
(+.f64 y (*.f64 -1 (*.f64 y z))) |
(fma.f64 -1 (*.f64 y z) y) |
(-.f64 y (*.f64 y z)) |
(fma.f64 y (neg.f64 z) y) |
(*.f64 y (-.f64 1 z)) |
(+.f64 y (*.f64 -1 (*.f64 y z))) |
(fma.f64 -1 (*.f64 y z) y) |
(-.f64 y (*.f64 y z)) |
(fma.f64 y (neg.f64 z) y) |
(*.f64 y (-.f64 1 z)) |
(+.f64 y (*.f64 -1 (*.f64 y z))) |
(fma.f64 -1 (*.f64 y z) y) |
(-.f64 y (*.f64 y z)) |
(fma.f64 y (neg.f64 z) y) |
(*.f64 y (-.f64 1 z)) |
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (*.f64 (-.f64 1 z) x) |
Compiled 14 to 9 computations (35.7% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | z | @ | 0 | (*.f64 (-.f64 1 z) x) |
| 1.0ms | x | @ | 0 | (*.f64 (-.f64 1 z) x) |
| 1.0ms | x | @ | inf | (*.f64 (-.f64 1 z) x) |
| 1.0ms | z | @ | inf | (*.f64 (-.f64 1 z) x) |
| 1.0ms | x | @ | -inf | (*.f64 (-.f64 1 z) x) |
| 1× | batch-egg-rewrite |
| 617× | pow1_binary64 |
| 572× | add-log-exp_binary64 |
| 572× | log1p-expm1-u_binary64 |
| 572× | expm1-log1p-u_binary64 |
| 561× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 7 |
| 1 | 122 | 7 |
| 2 | 1510 | 7 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (-.f64 1 z) x) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 (neg.f64 z) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 x (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (-.f64 1 z) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 z 3)) x) (+.f64 1 (fma.f64 z z z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (*.f64 z z)) x) (+.f64 1 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (-.f64 1 (pow.f64 z 3))) (+.f64 1 (fma.f64 z z z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (-.f64 1 (*.f64 z z))) (+.f64 1 z))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (-.f64 1 z) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (-.f64 1 z) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (-.f64 1 z) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (-.f64 1 z) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (-.f64 1 z) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (-.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (-.f64 1 z) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (-.f64 1 z) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (-.f64 1 z) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (-.f64 1 z) x))))))) |
| 1× | egg-herbie |
| 140× | fma-def_binary64 |
| 84× | fma-neg_binary64 |
| 22× | cancel-sign-sub-inv_binary64 |
| 21× | associate-*r*_binary64 |
| 19× | associate-*l*_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 85 |
| 1 | 14 | 76 |
| 2 | 33 | 76 |
| 3 | 51 | 76 |
| 4 | 72 | 76 |
| 5 | 146 | 76 |
| 6 | 283 | 76 |
| 7 | 392 | 76 |
| 8 | 475 | 76 |
| 9 | 539 | 76 |
| 1× | saturated |
| Inputs |
|---|
x |
(+.f64 (*.f64 -1 (*.f64 z x)) x) |
(+.f64 (*.f64 -1 (*.f64 z x)) x) |
(+.f64 (*.f64 -1 (*.f64 z x)) x) |
(*.f64 -1 (*.f64 z x)) |
(+.f64 (*.f64 -1 (*.f64 z x)) x) |
(+.f64 (*.f64 -1 (*.f64 z x)) x) |
(+.f64 (*.f64 -1 (*.f64 z x)) x) |
(*.f64 -1 (*.f64 z x)) |
(+.f64 (*.f64 -1 (*.f64 z x)) x) |
(+.f64 (*.f64 -1 (*.f64 z x)) x) |
(+.f64 (*.f64 -1 (*.f64 z x)) x) |
| Outputs |
|---|
x |
(+.f64 (*.f64 -1 (*.f64 z x)) x) |
(fma.f64 -1 (*.f64 x z) x) |
(-.f64 x (*.f64 x z)) |
(+.f64 (*.f64 -1 (*.f64 z x)) x) |
(fma.f64 -1 (*.f64 x z) x) |
(-.f64 x (*.f64 x z)) |
(+.f64 (*.f64 -1 (*.f64 z x)) x) |
(fma.f64 -1 (*.f64 x z) x) |
(-.f64 x (*.f64 x z)) |
(*.f64 -1 (*.f64 z x)) |
(neg.f64 (*.f64 x z)) |
(*.f64 x (neg.f64 z)) |
(*.f64 z (neg.f64 x)) |
(+.f64 (*.f64 -1 (*.f64 z x)) x) |
(fma.f64 -1 (*.f64 x z) x) |
(-.f64 x (*.f64 x z)) |
(+.f64 (*.f64 -1 (*.f64 z x)) x) |
(fma.f64 -1 (*.f64 x z) x) |
(-.f64 x (*.f64 x z)) |
(+.f64 (*.f64 -1 (*.f64 z x)) x) |
(fma.f64 -1 (*.f64 x z) x) |
(-.f64 x (*.f64 x z)) |
(*.f64 -1 (*.f64 z x)) |
(neg.f64 (*.f64 x z)) |
(*.f64 x (neg.f64 z)) |
(*.f64 z (neg.f64 x)) |
(+.f64 (*.f64 -1 (*.f64 z x)) x) |
(fma.f64 -1 (*.f64 x z) x) |
(-.f64 x (*.f64 x z)) |
(+.f64 (*.f64 -1 (*.f64 z x)) x) |
(fma.f64 -1 (*.f64 x z) x) |
(-.f64 x (*.f64 x z)) |
(+.f64 (*.f64 -1 (*.f64 z x)) x) |
(fma.f64 -1 (*.f64 x z) x) |
(-.f64 x (*.f64 x z)) |
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (-.f64 x (*.f64 z x)) |
Compiled 13 to 5 computations (61.5% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | (-.f64 x (*.f64 z x)) |
| 1.0ms | x | @ | -inf | (-.f64 x (*.f64 z x)) |
| 1.0ms | x | @ | 0 | (-.f64 x (*.f64 z x)) |
| 1.0ms | z | @ | inf | (-.f64 x (*.f64 z x)) |
| 1.0ms | z | @ | -inf | (-.f64 x (*.f64 z x)) |
| 1× | batch-egg-rewrite |
| 651× | pow1_binary64 |
| 606× | add-log-exp_binary64 |
| 606× | log1p-expm1-u_binary64 |
| 606× | expm1-log1p-u_binary64 |
| 593× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5 | 7 |
| 1 | 113 | 7 |
| 2 | 1654 | 7 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 x (*.f64 z x)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 x (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 (*.f64 x (neg.f64 z)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (*.f64 x z)) (fma.f64 (neg.f64 z) x (*.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (*.f64 x z)) (fma.f64 (neg.f64 x) z (*.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (*.f64 x z)) (fma.f64 (*.f64 x (neg.f64 z)) 1 (*.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (*.f64 x z)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x z))) (pow.f64 (cbrt.f64 (*.f64 x z)) 2) (*.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (*.f64 x z)) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 x z))) (sqrt.f64 (*.f64 x z)) (*.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (neg.f64 z)) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (-.f64 1 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (+.f64 1 (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 x (*.f64 x z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 x (*.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 x (*.f64 x z))) (pow.f64 (cbrt.f64 (-.f64 x (*.f64 x z))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 x (*.f64 x z))) 2) (cbrt.f64 (-.f64 x (*.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 x (*.f64 x z))) (sqrt.f64 (-.f64 x (*.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 x z) 3)) (/.f64 1 (fma.f64 x x (*.f64 (*.f64 x z) (+.f64 x (*.f64 x z))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 x z) 2)) (/.f64 1 (+.f64 x (*.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 x z))) (-.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (neg.f64 z) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x x (*.f64 (*.f64 x z) (+.f64 x (*.f64 x z)))) (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 x z) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 x (*.f64 x z)) (-.f64 (*.f64 x x) (pow.f64 (*.f64 x z) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 x z) 3)) (fma.f64 x x (*.f64 (*.f64 x z) (+.f64 x (*.f64 x z)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 x z) 2)) (+.f64 x (*.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 x z) 3))) (neg.f64 (fma.f64 x x (*.f64 (*.f64 x z) (+.f64 x (*.f64 x z))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 x z) 2))) (neg.f64 (+.f64 x (*.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 x (neg.f64 z)) 3)) (+.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x (neg.f64 z)) (*.f64 x (neg.f64 z))) (*.f64 x (*.f64 x (neg.f64 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x (neg.f64 z)) (*.f64 x (neg.f64 z)))) (-.f64 x (*.f64 x (neg.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 x (*.f64 x z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 x (*.f64 x z)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 x (*.f64 x z))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 x (*.f64 x z))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 x (*.f64 x z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 x (*.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 x (*.f64 x z)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 x (*.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 x (*.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 x (*.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (*.f64 x (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 x (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 x (neg.f64 z))))))) |
| 1× | egg-herbie |
| 145× | fma-def_binary64 |
| 71× | fma-neg_binary64 |
| 21× | cancel-sign-sub-inv_binary64 |
| 19× | associate-*r*_binary64 |
| 18× | sub-neg_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 160 |
| 1 | 28 | 160 |
| 2 | 49 | 160 |
| 3 | 88 | 160 |
| 4 | 136 | 160 |
| 5 | 223 | 160 |
| 6 | 371 | 160 |
| 7 | 450 | 160 |
| 8 | 518 | 160 |
| 9 | 524 | 160 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 (-.f64 1 z) x) |
(*.f64 (-.f64 1 z) x) |
(*.f64 (-.f64 1 z) x) |
(*.f64 (-.f64 1 z) x) |
(*.f64 (-.f64 1 z) x) |
(*.f64 (-.f64 1 z) x) |
(*.f64 (-.f64 1 z) x) |
(*.f64 (-.f64 1 z) x) |
(*.f64 (+.f64 (*.f64 -1 z) 1) x) |
(*.f64 (+.f64 (*.f64 -1 z) 1) x) |
(*.f64 (+.f64 (*.f64 -1 z) 1) x) |
(*.f64 (+.f64 (*.f64 -1 z) 1) x) |
x |
(+.f64 (*.f64 -1 (*.f64 z x)) x) |
(+.f64 (*.f64 -1 (*.f64 z x)) x) |
(+.f64 (*.f64 -1 (*.f64 z x)) x) |
(*.f64 -1 (*.f64 z x)) |
(+.f64 (*.f64 -1 (*.f64 z x)) x) |
(+.f64 (*.f64 -1 (*.f64 z x)) x) |
(+.f64 (*.f64 -1 (*.f64 z x)) x) |
(*.f64 -1 (*.f64 z x)) |
(+.f64 (*.f64 -1 (*.f64 z x)) x) |
(+.f64 (*.f64 -1 (*.f64 z x)) x) |
(+.f64 (*.f64 -1 (*.f64 z x)) x) |
| Outputs |
|---|
(*.f64 (-.f64 1 z) x) |
(*.f64 x (-.f64 1 z)) |
(fma.f64 (neg.f64 z) x x) |
(fma.f64 z (neg.f64 x) x) |
(*.f64 (-.f64 1 z) x) |
(*.f64 x (-.f64 1 z)) |
(fma.f64 (neg.f64 z) x x) |
(fma.f64 z (neg.f64 x) x) |
(*.f64 (-.f64 1 z) x) |
(*.f64 x (-.f64 1 z)) |
(fma.f64 (neg.f64 z) x x) |
(fma.f64 z (neg.f64 x) x) |
(*.f64 (-.f64 1 z) x) |
(*.f64 x (-.f64 1 z)) |
(fma.f64 (neg.f64 z) x x) |
(fma.f64 z (neg.f64 x) x) |
(*.f64 (-.f64 1 z) x) |
(*.f64 x (-.f64 1 z)) |
(fma.f64 (neg.f64 z) x x) |
(fma.f64 z (neg.f64 x) x) |
(*.f64 (-.f64 1 z) x) |
(*.f64 x (-.f64 1 z)) |
(fma.f64 (neg.f64 z) x x) |
(fma.f64 z (neg.f64 x) x) |
(*.f64 (-.f64 1 z) x) |
(*.f64 x (-.f64 1 z)) |
(fma.f64 (neg.f64 z) x x) |
(fma.f64 z (neg.f64 x) x) |
(*.f64 (-.f64 1 z) x) |
(*.f64 x (-.f64 1 z)) |
(fma.f64 (neg.f64 z) x x) |
(fma.f64 z (neg.f64 x) x) |
(*.f64 (+.f64 (*.f64 -1 z) 1) x) |
(*.f64 x (-.f64 1 z)) |
(fma.f64 (neg.f64 z) x x) |
(fma.f64 z (neg.f64 x) x) |
(*.f64 (+.f64 (*.f64 -1 z) 1) x) |
(*.f64 x (-.f64 1 z)) |
(fma.f64 (neg.f64 z) x x) |
(fma.f64 z (neg.f64 x) x) |
(*.f64 (+.f64 (*.f64 -1 z) 1) x) |
(*.f64 x (-.f64 1 z)) |
(fma.f64 (neg.f64 z) x x) |
(fma.f64 z (neg.f64 x) x) |
(*.f64 (+.f64 (*.f64 -1 z) 1) x) |
(*.f64 x (-.f64 1 z)) |
(fma.f64 (neg.f64 z) x x) |
(fma.f64 z (neg.f64 x) x) |
x |
(+.f64 (*.f64 -1 (*.f64 z x)) x) |
(*.f64 x (-.f64 1 z)) |
(fma.f64 (neg.f64 z) x x) |
(fma.f64 z (neg.f64 x) x) |
(+.f64 (*.f64 -1 (*.f64 z x)) x) |
(*.f64 x (-.f64 1 z)) |
(fma.f64 (neg.f64 z) x x) |
(fma.f64 z (neg.f64 x) x) |
(+.f64 (*.f64 -1 (*.f64 z x)) x) |
(*.f64 x (-.f64 1 z)) |
(fma.f64 (neg.f64 z) x x) |
(fma.f64 z (neg.f64 x) x) |
(*.f64 -1 (*.f64 z x)) |
(*.f64 (neg.f64 z) x) |
(*.f64 z (neg.f64 x)) |
(+.f64 (*.f64 -1 (*.f64 z x)) x) |
(*.f64 x (-.f64 1 z)) |
(fma.f64 (neg.f64 z) x x) |
(fma.f64 z (neg.f64 x) x) |
(+.f64 (*.f64 -1 (*.f64 z x)) x) |
(*.f64 x (-.f64 1 z)) |
(fma.f64 (neg.f64 z) x x) |
(fma.f64 z (neg.f64 x) x) |
(+.f64 (*.f64 -1 (*.f64 z x)) x) |
(*.f64 x (-.f64 1 z)) |
(fma.f64 (neg.f64 z) x x) |
(fma.f64 z (neg.f64 x) x) |
(*.f64 -1 (*.f64 z x)) |
(*.f64 (neg.f64 z) x) |
(*.f64 z (neg.f64 x)) |
(+.f64 (*.f64 -1 (*.f64 z x)) x) |
(*.f64 x (-.f64 1 z)) |
(fma.f64 (neg.f64 z) x x) |
(fma.f64 z (neg.f64 x) x) |
(+.f64 (*.f64 -1 (*.f64 z x)) x) |
(*.f64 x (-.f64 1 z)) |
(fma.f64 (neg.f64 z) x x) |
(fma.f64 z (neg.f64 x) x) |
(+.f64 (*.f64 -1 (*.f64 z x)) x) |
(*.f64 x (-.f64 1 z)) |
(fma.f64 (neg.f64 z) x x) |
(fma.f64 z (neg.f64 x) x) |
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (-.f64 y (*.f64 y z)) |
Compiled 13 to 5 computations (61.5% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | 0 | (-.f64 y (*.f64 y z)) |
| 1.0ms | y | @ | inf | (-.f64 y (*.f64 y z)) |
| 1.0ms | z | @ | inf | (-.f64 y (*.f64 y z)) |
| 1.0ms | z | @ | -inf | (-.f64 y (*.f64 y z)) |
| 1.0ms | y | @ | -inf | (-.f64 y (*.f64 y z)) |
| 1× | batch-egg-rewrite |
| 649× | pow1_binary64 |
| 604× | add-log-exp_binary64 |
| 604× | log1p-expm1-u_binary64 |
| 604× | expm1-log1p-u_binary64 |
| 591× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5 | 7 |
| 1 | 113 | 7 |
| 2 | 1650 | 7 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 y (*.f64 y z)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 y (*.f64 y (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 y (*.f64 (*.f64 y (neg.f64 z)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 y (*.f64 y z)) (fma.f64 (neg.f64 z) y (*.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 y (*.f64 y z)) (fma.f64 (neg.f64 y) z (*.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 y (*.f64 y z)) (fma.f64 (*.f64 y (neg.f64 z)) 1 (*.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 y (*.f64 y z)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 y z))) (pow.f64 (cbrt.f64 (*.f64 y z)) 2) (*.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 y (*.f64 y z)) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 y z))) (sqrt.f64 (*.f64 y z)) (*.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y (neg.f64 z)) y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (-.f64 1 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 y (*.f64 y z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 y (*.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 y (*.f64 y z))) (pow.f64 (cbrt.f64 (-.f64 y (*.f64 y z))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 y (*.f64 y z))) 2) (cbrt.f64 (-.f64 y (*.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 y (*.f64 y z))) (sqrt.f64 (-.f64 y (*.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 y 3) (pow.f64 (*.f64 y z) 3)) (/.f64 1 (fma.f64 y y (*.f64 (*.f64 y z) (+.f64 y (*.f64 y z))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 y y) (pow.f64 (*.f64 y z) 2)) (/.f64 1 (+.f64 y (*.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 (*.f64 y z))) (-.f64 (sqrt.f64 y) (sqrt.f64 (*.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 y y (*.f64 (*.f64 y z) (+.f64 y (*.f64 y z)))) (-.f64 (pow.f64 y 3) (pow.f64 (*.f64 y z) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 y (*.f64 y z)) (-.f64 (*.f64 y y) (pow.f64 (*.f64 y z) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 y 3) (pow.f64 (*.f64 y z) 3)) (fma.f64 y y (*.f64 (*.f64 y z) (+.f64 y (*.f64 y z)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 y y) (pow.f64 (*.f64 y z) 2)) (+.f64 y (*.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 y 3) (pow.f64 (*.f64 y z) 3))) (neg.f64 (fma.f64 y y (*.f64 (*.f64 y z) (+.f64 y (*.f64 y z))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 y y) (pow.f64 (*.f64 y z) 2))) (neg.f64 (+.f64 y (*.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 y 3) (pow.f64 (*.f64 y (neg.f64 z)) 3)) (+.f64 (*.f64 y y) (-.f64 (*.f64 (*.f64 y (neg.f64 z)) (*.f64 y (neg.f64 z))) (*.f64 y (*.f64 y (neg.f64 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 y y) (*.f64 (*.f64 y (neg.f64 z)) (*.f64 y (neg.f64 z)))) (-.f64 y (*.f64 y (neg.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 y (*.f64 y z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 y (*.f64 y z)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 y (*.f64 y z))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 y (*.f64 y z))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 y (*.f64 y z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 y (*.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 y (*.f64 y z)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 y (*.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 y (*.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 y (*.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 y (*.f64 y (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 y) 2) (cbrt.f64 y) (*.f64 y (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 y) (sqrt.f64 y) (*.f64 y (neg.f64 z))))))) |
| 1× | egg-herbie |
| 136× | fma-def_binary64 |
| 71× | fma-neg_binary64 |
| 22× | cancel-sign-sub-inv_binary64 |
| 18× | associate-*r*_binary64 |
| 18× | sub-neg_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 160 |
| 1 | 29 | 160 |
| 2 | 47 | 160 |
| 3 | 76 | 160 |
| 4 | 124 | 160 |
| 5 | 211 | 160 |
| 6 | 359 | 160 |
| 7 | 439 | 160 |
| 8 | 509 | 160 |
| 9 | 515 | 160 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 y (-.f64 1 z)) |
(*.f64 y (-.f64 1 z)) |
(*.f64 y (-.f64 1 z)) |
(*.f64 y (-.f64 1 z)) |
(*.f64 y (-.f64 1 z)) |
(*.f64 y (-.f64 1 z)) |
(*.f64 y (-.f64 1 z)) |
(*.f64 y (-.f64 1 z)) |
(*.f64 (+.f64 (*.f64 -1 z) 1) y) |
(*.f64 (+.f64 (*.f64 -1 z) 1) y) |
(*.f64 (+.f64 (*.f64 -1 z) 1) y) |
(*.f64 (+.f64 (*.f64 -1 z) 1) y) |
y |
(+.f64 (*.f64 -1 (*.f64 y z)) y) |
(+.f64 (*.f64 -1 (*.f64 y z)) y) |
(+.f64 (*.f64 -1 (*.f64 y z)) y) |
(*.f64 -1 (*.f64 y z)) |
(+.f64 y (*.f64 -1 (*.f64 y z))) |
(+.f64 y (*.f64 -1 (*.f64 y z))) |
(+.f64 y (*.f64 -1 (*.f64 y z))) |
(*.f64 -1 (*.f64 y z)) |
(+.f64 y (*.f64 -1 (*.f64 y z))) |
(+.f64 y (*.f64 -1 (*.f64 y z))) |
(+.f64 y (*.f64 -1 (*.f64 y z))) |
| Outputs |
|---|
(*.f64 y (-.f64 1 z)) |
(fma.f64 z (neg.f64 y) y) |
(fma.f64 y (neg.f64 z) y) |
(*.f64 y (-.f64 1 z)) |
(fma.f64 z (neg.f64 y) y) |
(fma.f64 y (neg.f64 z) y) |
(*.f64 y (-.f64 1 z)) |
(fma.f64 z (neg.f64 y) y) |
(fma.f64 y (neg.f64 z) y) |
(*.f64 y (-.f64 1 z)) |
(fma.f64 z (neg.f64 y) y) |
(fma.f64 y (neg.f64 z) y) |
(*.f64 y (-.f64 1 z)) |
(fma.f64 z (neg.f64 y) y) |
(fma.f64 y (neg.f64 z) y) |
(*.f64 y (-.f64 1 z)) |
(fma.f64 z (neg.f64 y) y) |
(fma.f64 y (neg.f64 z) y) |
(*.f64 y (-.f64 1 z)) |
(fma.f64 z (neg.f64 y) y) |
(fma.f64 y (neg.f64 z) y) |
(*.f64 y (-.f64 1 z)) |
(fma.f64 z (neg.f64 y) y) |
(fma.f64 y (neg.f64 z) y) |
(*.f64 (+.f64 (*.f64 -1 z) 1) y) |
(*.f64 y (-.f64 1 z)) |
(fma.f64 z (neg.f64 y) y) |
(fma.f64 y (neg.f64 z) y) |
(*.f64 (+.f64 (*.f64 -1 z) 1) y) |
(*.f64 y (-.f64 1 z)) |
(fma.f64 z (neg.f64 y) y) |
(fma.f64 y (neg.f64 z) y) |
(*.f64 (+.f64 (*.f64 -1 z) 1) y) |
(*.f64 y (-.f64 1 z)) |
(fma.f64 z (neg.f64 y) y) |
(fma.f64 y (neg.f64 z) y) |
(*.f64 (+.f64 (*.f64 -1 z) 1) y) |
(*.f64 y (-.f64 1 z)) |
(fma.f64 z (neg.f64 y) y) |
(fma.f64 y (neg.f64 z) y) |
y |
(+.f64 (*.f64 -1 (*.f64 y z)) y) |
(*.f64 y (-.f64 1 z)) |
(fma.f64 z (neg.f64 y) y) |
(fma.f64 y (neg.f64 z) y) |
(+.f64 (*.f64 -1 (*.f64 y z)) y) |
(*.f64 y (-.f64 1 z)) |
(fma.f64 z (neg.f64 y) y) |
(fma.f64 y (neg.f64 z) y) |
(+.f64 (*.f64 -1 (*.f64 y z)) y) |
(*.f64 y (-.f64 1 z)) |
(fma.f64 z (neg.f64 y) y) |
(fma.f64 y (neg.f64 z) y) |
(*.f64 -1 (*.f64 y z)) |
(neg.f64 (*.f64 y z)) |
(*.f64 z (neg.f64 y)) |
(*.f64 y (neg.f64 z)) |
(+.f64 y (*.f64 -1 (*.f64 y z))) |
(*.f64 y (-.f64 1 z)) |
(fma.f64 z (neg.f64 y) y) |
(fma.f64 y (neg.f64 z) y) |
(+.f64 y (*.f64 -1 (*.f64 y z))) |
(*.f64 y (-.f64 1 z)) |
(fma.f64 z (neg.f64 y) y) |
(fma.f64 y (neg.f64 z) y) |
(+.f64 y (*.f64 -1 (*.f64 y z))) |
(*.f64 y (-.f64 1 z)) |
(fma.f64 z (neg.f64 y) y) |
(fma.f64 y (neg.f64 z) y) |
(*.f64 -1 (*.f64 y z)) |
(neg.f64 (*.f64 y z)) |
(*.f64 z (neg.f64 y)) |
(*.f64 y (neg.f64 z)) |
(+.f64 y (*.f64 -1 (*.f64 y z))) |
(*.f64 y (-.f64 1 z)) |
(fma.f64 z (neg.f64 y) y) |
(fma.f64 y (neg.f64 z) y) |
(+.f64 y (*.f64 -1 (*.f64 y z))) |
(*.f64 y (-.f64 1 z)) |
(fma.f64 z (neg.f64 y) y) |
(fma.f64 y (neg.f64 z) y) |
(+.f64 y (*.f64 -1 (*.f64 y z))) |
(*.f64 y (-.f64 1 z)) |
(fma.f64 z (neg.f64 y) y) |
(fma.f64 y (neg.f64 z) y) |
Compiled 1414 to 536 computations (62.1% saved)
11 alts after pruning (5 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 133 | 4 | 137 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 5 | 5 |
| Total | 133 | 11 | 144 |
| Status | Error | Program |
|---|---|---|
| ✓ | 0.0b | (*.f64 (+.f64 x y) (-.f64 1 z)) |
| ✓ | 31.7b | (-.f64 y (*.f64 y z)) |
| ✓ | 31.6b | (-.f64 x (*.f64 z x)) |
| ▶ | 51.1b | (*.f64 z (neg.f64 x)) |
| 43.6b | y | |
| ✓ | 31.7b | (*.f64 y (-.f64 1 z)) |
| ▶ | 50.4b | (*.f64 y (neg.f64 z)) |
| 43.9b | x | |
| ▶ | 38.7b | (*.f64 z (-.f64 (neg.f64 y) x)) |
| ✓ | 24.9b | (+.f64 y x) |
| ✓ | 31.6b | (*.f64 (-.f64 1 z) x) |
Compiled 79 to 55 computations (30.4% saved)
Compiled 11 to 5 computations (54.5% saved)
Compiled 11 to 5 computations (54.5% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (*.f64 z (-.f64 (neg.f64 y) x)) |
Compiled 18 to 6 computations (66.7% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | z | @ | inf | (*.f64 z (-.f64 (neg.f64 y) x)) |
| 1.0ms | z | @ | 0 | (*.f64 z (-.f64 (neg.f64 y) x)) |
| 1.0ms | x | @ | inf | (*.f64 z (-.f64 (neg.f64 y) x)) |
| 1.0ms | x | @ | 0 | (*.f64 z (-.f64 (neg.f64 y) x)) |
| 1.0ms | y | @ | inf | (*.f64 z (-.f64 (neg.f64 y) x)) |
| 1× | batch-egg-rewrite |
| 754× | pow1_binary64 |
| 699× | add-log-exp_binary64 |
| 698× | log1p-expm1-u_binary64 |
| 698× | expm1-log1p-u_binary64 |
| 684× | add-exp-log_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 9 |
| 1 | 152 | 7 |
| 2 | 2152 | 7 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 z (-.f64 (neg.f64 y) x)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y z) (*.f64 (neg.f64 x) z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 z y) (*.f64 z (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 z (-.f64 y x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 y 3) (pow.f64 x 3)) z) (fma.f64 y y (*.f64 x (+.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 y y) (*.f64 x x)) z) (+.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 z (-.f64 (pow.f64 y 3) (pow.f64 x 3))) (fma.f64 y y (*.f64 x (+.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 z (-.f64 (*.f64 y y) (*.f64 x x))) (+.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 z (-.f64 y x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 z (-.f64 y x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 z (-.f64 y x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 z (-.f64 y x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 z (-.f64 y x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (-.f64 y x)) z))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 z (-.f64 y x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 z 3) (pow.f64 (-.f64 y x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (-.f64 y x) 3) (pow.f64 z 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 z (-.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 z (-.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 z (-.f64 y x)))))))) |
| 1× | egg-herbie |
| 99× | fma-neg_binary64 |
| 90× | fma-def_binary64 |
| 38× | cancel-sign-sub-inv_binary64 |
| 31× | sub-neg_binary64 |
| 26× | unsub-neg_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 306 |
| 1 | 33 | 306 |
| 2 | 81 | 306 |
| 3 | 121 | 306 |
| 4 | 200 | 306 |
| 5 | 362 | 306 |
| 6 | 549 | 306 |
| 7 | 598 | 306 |
| 8 | 602 | 306 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 -1 (*.f64 (+.f64 y x) z)) |
(*.f64 -1 (*.f64 (+.f64 y x) z)) |
(*.f64 -1 (*.f64 (+.f64 y x) z)) |
(*.f64 -1 (*.f64 (+.f64 y x) z)) |
(*.f64 -1 (*.f64 (+.f64 y x) z)) |
(*.f64 -1 (*.f64 (+.f64 y x) z)) |
(*.f64 -1 (*.f64 (+.f64 y x) z)) |
(*.f64 -1 (*.f64 (+.f64 y x) z)) |
(*.f64 -1 (*.f64 (+.f64 y x) z)) |
(*.f64 -1 (*.f64 (+.f64 y x) z)) |
(*.f64 -1 (*.f64 (+.f64 y x) z)) |
(*.f64 -1 (*.f64 (+.f64 y x) z)) |
(*.f64 -1 (*.f64 z x)) |
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 -1 (*.f64 z x))) |
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 -1 (*.f64 z x))) |
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 -1 (*.f64 z x))) |
(*.f64 -1 (*.f64 y z)) |
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 -1 (*.f64 z x))) |
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 -1 (*.f64 z x))) |
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 -1 (*.f64 z x))) |
(*.f64 -1 (*.f64 y z)) |
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 -1 (*.f64 z x))) |
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 -1 (*.f64 z x))) |
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 -1 (*.f64 z x))) |
(*.f64 -1 (*.f64 y z)) |
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 -1 (*.f64 z x))) |
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 -1 (*.f64 z x))) |
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 -1 (*.f64 z x))) |
(*.f64 -1 (*.f64 z x)) |
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 -1 (*.f64 z x))) |
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 -1 (*.f64 z x))) |
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 -1 (*.f64 z x))) |
(*.f64 -1 (*.f64 z x)) |
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 -1 (*.f64 z x))) |
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 -1 (*.f64 z x))) |
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 -1 (*.f64 z x))) |
| Outputs |
|---|
(*.f64 -1 (*.f64 (+.f64 y x) z)) |
(neg.f64 (*.f64 (+.f64 y x) z)) |
(*.f64 (+.f64 y x) (neg.f64 z)) |
(*.f64 z (-.f64 (neg.f64 x) y)) |
(*.f64 z (-.f64 (neg.f64 y) x)) |
(*.f64 -1 (*.f64 (+.f64 y x) z)) |
(neg.f64 (*.f64 (+.f64 y x) z)) |
(*.f64 (+.f64 y x) (neg.f64 z)) |
(*.f64 z (-.f64 (neg.f64 x) y)) |
(*.f64 z (-.f64 (neg.f64 y) x)) |
(*.f64 -1 (*.f64 (+.f64 y x) z)) |
(neg.f64 (*.f64 (+.f64 y x) z)) |
(*.f64 (+.f64 y x) (neg.f64 z)) |
(*.f64 z (-.f64 (neg.f64 x) y)) |
(*.f64 z (-.f64 (neg.f64 y) x)) |
(*.f64 -1 (*.f64 (+.f64 y x) z)) |
(neg.f64 (*.f64 (+.f64 y x) z)) |
(*.f64 (+.f64 y x) (neg.f64 z)) |
(*.f64 z (-.f64 (neg.f64 x) y)) |
(*.f64 z (-.f64 (neg.f64 y) x)) |
(*.f64 -1 (*.f64 (+.f64 y x) z)) |
(neg.f64 (*.f64 (+.f64 y x) z)) |
(*.f64 (+.f64 y x) (neg.f64 z)) |
(*.f64 z (-.f64 (neg.f64 x) y)) |
(*.f64 z (-.f64 (neg.f64 y) x)) |
(*.f64 -1 (*.f64 (+.f64 y x) z)) |
(neg.f64 (*.f64 (+.f64 y x) z)) |
(*.f64 (+.f64 y x) (neg.f64 z)) |
(*.f64 z (-.f64 (neg.f64 x) y)) |
(*.f64 z (-.f64 (neg.f64 y) x)) |
(*.f64 -1 (*.f64 (+.f64 y x) z)) |
(neg.f64 (*.f64 (+.f64 y x) z)) |
(*.f64 (+.f64 y x) (neg.f64 z)) |
(*.f64 z (-.f64 (neg.f64 x) y)) |
(*.f64 z (-.f64 (neg.f64 y) x)) |
(*.f64 -1 (*.f64 (+.f64 y x) z)) |
(neg.f64 (*.f64 (+.f64 y x) z)) |
(*.f64 (+.f64 y x) (neg.f64 z)) |
(*.f64 z (-.f64 (neg.f64 x) y)) |
(*.f64 z (-.f64 (neg.f64 y) x)) |
(*.f64 -1 (*.f64 (+.f64 y x) z)) |
(neg.f64 (*.f64 (+.f64 y x) z)) |
(*.f64 (+.f64 y x) (neg.f64 z)) |
(*.f64 z (-.f64 (neg.f64 x) y)) |
(*.f64 z (-.f64 (neg.f64 y) x)) |
(*.f64 -1 (*.f64 (+.f64 y x) z)) |
(neg.f64 (*.f64 (+.f64 y x) z)) |
(*.f64 (+.f64 y x) (neg.f64 z)) |
(*.f64 z (-.f64 (neg.f64 x) y)) |
(*.f64 z (-.f64 (neg.f64 y) x)) |
(*.f64 -1 (*.f64 (+.f64 y x) z)) |
(neg.f64 (*.f64 (+.f64 y x) z)) |
(*.f64 (+.f64 y x) (neg.f64 z)) |
(*.f64 z (-.f64 (neg.f64 x) y)) |
(*.f64 z (-.f64 (neg.f64 y) x)) |
(*.f64 -1 (*.f64 (+.f64 y x) z)) |
(neg.f64 (*.f64 (+.f64 y x) z)) |
(*.f64 (+.f64 y x) (neg.f64 z)) |
(*.f64 z (-.f64 (neg.f64 x) y)) |
(*.f64 z (-.f64 (neg.f64 y) x)) |
(*.f64 -1 (*.f64 z x)) |
(neg.f64 (*.f64 x z)) |
(*.f64 x (neg.f64 z)) |
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 -1 (*.f64 z x))) |
(neg.f64 (*.f64 (+.f64 y x) z)) |
(*.f64 (+.f64 y x) (neg.f64 z)) |
(*.f64 z (-.f64 (neg.f64 x) y)) |
(*.f64 z (-.f64 (neg.f64 y) x)) |
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 -1 (*.f64 z x))) |
(neg.f64 (*.f64 (+.f64 y x) z)) |
(*.f64 (+.f64 y x) (neg.f64 z)) |
(*.f64 z (-.f64 (neg.f64 x) y)) |
(*.f64 z (-.f64 (neg.f64 y) x)) |
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 -1 (*.f64 z x))) |
(neg.f64 (*.f64 (+.f64 y x) z)) |
(*.f64 (+.f64 y x) (neg.f64 z)) |
(*.f64 z (-.f64 (neg.f64 x) y)) |
(*.f64 z (-.f64 (neg.f64 y) x)) |
(*.f64 -1 (*.f64 y z)) |
(neg.f64 (*.f64 y z)) |
(*.f64 y (neg.f64 z)) |
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 -1 (*.f64 z x))) |
(neg.f64 (*.f64 (+.f64 y x) z)) |
(*.f64 (+.f64 y x) (neg.f64 z)) |
(*.f64 z (-.f64 (neg.f64 x) y)) |
(*.f64 z (-.f64 (neg.f64 y) x)) |
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 -1 (*.f64 z x))) |
(neg.f64 (*.f64 (+.f64 y x) z)) |
(*.f64 (+.f64 y x) (neg.f64 z)) |
(*.f64 z (-.f64 (neg.f64 x) y)) |
(*.f64 z (-.f64 (neg.f64 y) x)) |
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 -1 (*.f64 z x))) |
(neg.f64 (*.f64 (+.f64 y x) z)) |
(*.f64 (+.f64 y x) (neg.f64 z)) |
(*.f64 z (-.f64 (neg.f64 x) y)) |
(*.f64 z (-.f64 (neg.f64 y) x)) |
(*.f64 -1 (*.f64 y z)) |
(neg.f64 (*.f64 y z)) |
(*.f64 y (neg.f64 z)) |
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 -1 (*.f64 z x))) |
(neg.f64 (*.f64 (+.f64 y x) z)) |
(*.f64 (+.f64 y x) (neg.f64 z)) |
(*.f64 z (-.f64 (neg.f64 x) y)) |
(*.f64 z (-.f64 (neg.f64 y) x)) |
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 -1 (*.f64 z x))) |
(neg.f64 (*.f64 (+.f64 y x) z)) |
(*.f64 (+.f64 y x) (neg.f64 z)) |
(*.f64 z (-.f64 (neg.f64 x) y)) |
(*.f64 z (-.f64 (neg.f64 y) x)) |
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 -1 (*.f64 z x))) |
(neg.f64 (*.f64 (+.f64 y x) z)) |
(*.f64 (+.f64 y x) (neg.f64 z)) |
(*.f64 z (-.f64 (neg.f64 x) y)) |
(*.f64 z (-.f64 (neg.f64 y) x)) |
(*.f64 -1 (*.f64 y z)) |
(neg.f64 (*.f64 y z)) |
(*.f64 y (neg.f64 z)) |
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 -1 (*.f64 z x))) |
(neg.f64 (*.f64 (+.f64 y x) z)) |
(*.f64 (+.f64 y x) (neg.f64 z)) |
(*.f64 z (-.f64 (neg.f64 x) y)) |
(*.f64 z (-.f64 (neg.f64 y) x)) |
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 -1 (*.f64 z x))) |
(neg.f64 (*.f64 (+.f64 y x) z)) |
(*.f64 (+.f64 y x) (neg.f64 z)) |
(*.f64 z (-.f64 (neg.f64 x) y)) |
(*.f64 z (-.f64 (neg.f64 y) x)) |
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 -1 (*.f64 z x))) |
(neg.f64 (*.f64 (+.f64 y x) z)) |
(*.f64 (+.f64 y x) (neg.f64 z)) |
(*.f64 z (-.f64 (neg.f64 x) y)) |
(*.f64 z (-.f64 (neg.f64 y) x)) |
(*.f64 -1 (*.f64 z x)) |
(neg.f64 (*.f64 x z)) |
(*.f64 x (neg.f64 z)) |
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 -1 (*.f64 z x))) |
(neg.f64 (*.f64 (+.f64 y x) z)) |
(*.f64 (+.f64 y x) (neg.f64 z)) |
(*.f64 z (-.f64 (neg.f64 x) y)) |
(*.f64 z (-.f64 (neg.f64 y) x)) |
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 -1 (*.f64 z x))) |
(neg.f64 (*.f64 (+.f64 y x) z)) |
(*.f64 (+.f64 y x) (neg.f64 z)) |
(*.f64 z (-.f64 (neg.f64 x) y)) |
(*.f64 z (-.f64 (neg.f64 y) x)) |
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 -1 (*.f64 z x))) |
(neg.f64 (*.f64 (+.f64 y x) z)) |
(*.f64 (+.f64 y x) (neg.f64 z)) |
(*.f64 z (-.f64 (neg.f64 x) y)) |
(*.f64 z (-.f64 (neg.f64 y) x)) |
(*.f64 -1 (*.f64 z x)) |
(neg.f64 (*.f64 x z)) |
(*.f64 x (neg.f64 z)) |
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 -1 (*.f64 z x))) |
(neg.f64 (*.f64 (+.f64 y x) z)) |
(*.f64 (+.f64 y x) (neg.f64 z)) |
(*.f64 z (-.f64 (neg.f64 x) y)) |
(*.f64 z (-.f64 (neg.f64 y) x)) |
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 -1 (*.f64 z x))) |
(neg.f64 (*.f64 (+.f64 y x) z)) |
(*.f64 (+.f64 y x) (neg.f64 z)) |
(*.f64 z (-.f64 (neg.f64 x) y)) |
(*.f64 z (-.f64 (neg.f64 y) x)) |
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 -1 (*.f64 z x))) |
(neg.f64 (*.f64 (+.f64 y x) z)) |
(*.f64 (+.f64 y x) (neg.f64 z)) |
(*.f64 z (-.f64 (neg.f64 x) y)) |
(*.f64 z (-.f64 (neg.f64 y) x)) |
Compiled 228 to 98 computations (57% saved)
11 alts after pruning (2 fresh and 9 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 26 | 0 | 26 |
| Fresh | 0 | 2 | 2 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 8 | 8 |
| Total | 26 | 11 | 37 |
| Status | Error | Program |
|---|---|---|
| ✓ | 0.0b | (*.f64 (+.f64 x y) (-.f64 1 z)) |
| ✓ | 31.7b | (-.f64 y (*.f64 y z)) |
| ✓ | 31.6b | (-.f64 x (*.f64 z x)) |
| ✓ | 51.1b | (*.f64 z (neg.f64 x)) |
| 43.6b | y | |
| ✓ | 31.7b | (*.f64 y (-.f64 1 z)) |
| ✓ | 50.4b | (*.f64 y (neg.f64 z)) |
| 43.9b | x | |
| ✓ | 38.7b | (*.f64 z (-.f64 (neg.f64 y) x)) |
| ✓ | 24.9b | (+.f64 y x) |
| ✓ | 31.6b | (*.f64 (-.f64 1 z) x) |
Compiled 79 to 55 computations (30.4% saved)
Compiled 3 to 3 computations (0% saved)
11 alts after pruning (2 fresh and 9 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 0 | 0 | 0 |
| Fresh | 0 | 2 | 2 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 9 | 9 |
| Total | 0 | 11 | 11 |
| Status | Error | Program |
|---|---|---|
| ✓ | 0.0b | (*.f64 (+.f64 x y) (-.f64 1 z)) |
| ✓ | 31.7b | (-.f64 y (*.f64 y z)) |
| ✓ | 31.6b | (-.f64 x (*.f64 z x)) |
| ✓ | 51.1b | (*.f64 z (neg.f64 x)) |
| 43.6b | y | |
| ✓ | 31.7b | (*.f64 y (-.f64 1 z)) |
| ✓ | 50.4b | (*.f64 y (neg.f64 z)) |
| 43.9b | x | |
| ✓ | 38.7b | (*.f64 z (-.f64 (neg.f64 y) x)) |
| ✓ | 24.9b | (+.f64 y x) |
| ✓ | 31.6b | (*.f64 (-.f64 1 z) x) |
Compiled 79 to 55 computations (30.4% saved)
| Inputs |
|---|
y |
x |
(+.f64 y x) |
(*.f64 z (neg.f64 x)) |
(*.f64 y (neg.f64 z)) |
(-.f64 y (*.f64 y z)) |
(*.f64 y (-.f64 1 z)) |
(-.f64 x (*.f64 z x)) |
(*.f64 (-.f64 1 z) x) |
(*.f64 z (-.f64 (neg.f64 y) x)) |
(*.f64 (+.f64 x y) (-.f64 1 z)) |
| Outputs |
|---|
(*.f64 (+.f64 x y) (-.f64 1 z)) |
6 calls:
| 13.0ms | (+.f64 x y) |
| 10.0ms | z |
| 8.0ms | y |
| 7.0ms | x |
| 7.0ms | (*.f64 (+.f64 x y) (-.f64 1 z)) |
| Error | Segments | Branch |
|---|---|---|
| 0.0b | 1 | x |
| 0.0b | 1 | y |
| 0.0b | 1 | z |
| 0.0b | 1 | (*.f64 (+.f64 x y) (-.f64 1 z)) |
| 0.0b | 1 | (+.f64 x y) |
| 0.0b | 1 | (-.f64 1 z) |
Compiled 83 to 50 computations (39.8% saved)
| Inputs |
|---|
y |
x |
(+.f64 y x) |
(*.f64 z (neg.f64 x)) |
(*.f64 y (neg.f64 z)) |
(-.f64 y (*.f64 y z)) |
(*.f64 y (-.f64 1 z)) |
(-.f64 x (*.f64 z x)) |
(*.f64 (-.f64 1 z) x) |
(*.f64 z (-.f64 (neg.f64 y) x)) |
| Outputs |
|---|
(*.f64 z (-.f64 (neg.f64 y) x)) |
(+.f64 y x) |
(-.f64 x (*.f64 z x)) |
(*.f64 y (-.f64 1 z)) |
(*.f64 z (-.f64 (neg.f64 y) x)) |
5 calls:
| 125.0ms | y |
| 60.0ms | z |
| 25.0ms | x |
| 21.0ms | (-.f64 1 z) |
| 17.0ms | (-.f64 1 z) |
| Error | Segments | Branch |
|---|---|---|
| 10.6b | 4 | x |
| 6.3b | 6 | y |
| 2.0b | 3 | z |
| 1.0b | 5 | (-.f64 1 z) |
| 1.0b | 5 | (-.f64 1 z) |
Compiled 66 to 40 computations (39.4% saved)
| 4× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 110593117112938960.0 | 3.691643360383083e+21 |
| 0.0ms | 286007131.76590586 | 1276315717.0921998 |
| 0.0ms | 1.0 | 1.0000000002522134 |
| 26.0ms | -717314.7439188524 | 0.9002856451038177 |
Compiled 16 to 12 computations (25% saved)
| Inputs |
|---|
y |
x |
(+.f64 y x) |
(*.f64 z (neg.f64 x)) |
(*.f64 y (neg.f64 z)) |
(-.f64 y (*.f64 y z)) |
(*.f64 y (-.f64 1 z)) |
(-.f64 x (*.f64 z x)) |
(*.f64 (-.f64 1 z) x) |
| Outputs |
|---|
(-.f64 x (*.f64 z x)) |
(*.f64 y (-.f64 1 z)) |
(+.f64 y x) |
(-.f64 y (*.f64 y z)) |
(-.f64 x (*.f64 z x)) |
(*.f64 y (-.f64 1 z)) |
5 calls:
| 95.0ms | z |
| 93.0ms | (-.f64 1 z) |
| 81.0ms | y |
| 79.0ms | x |
| 36.0ms | (-.f64 1 z) |
| Error | Segments | Branch |
|---|---|---|
| 10.6b | 4 | x |
| 6.3b | 6 | y |
| 7.7b | 7 | z |
| 7.7b | 7 | (-.f64 1 z) |
| 7.7b | 7 | (-.f64 1 z) |
Compiled 60 to 37 computations (38.3% saved)
| 5× | binary-search |
| Time | Left | Right |
|---|---|---|
| 30.0ms | 3.1222481688434846e+41 | 3.2372921337502776e+46 |
| 34.0ms | 284912895422498100.0 | 9827502703753392000.0 |
| 47.0ms | 9.838964024643599e-68 | 3.071479006027269e-67 |
| 34.0ms | 7.911858793683972e-110 | 2.4155929894102433e-102 |
| 85.0ms | 1.5114795816327223e-148 | 3.343625627630482e-139 |
Compiled 16 to 12 computations (25% saved)
| Inputs |
|---|
y |
x |
(+.f64 y x) |
(*.f64 z (neg.f64 x)) |
(*.f64 y (neg.f64 z)) |
(-.f64 y (*.f64 y z)) |
(*.f64 y (-.f64 1 z)) |
| Outputs |
|---|
(*.f64 z (neg.f64 x)) |
(*.f64 y (neg.f64 z)) |
(*.f64 z (neg.f64 x)) |
(*.f64 y (-.f64 1 z)) |
(+.f64 y x) |
(*.f64 y (-.f64 1 z)) |
(*.f64 z (neg.f64 x)) |
5 calls:
| 156.0ms | y |
| 52.0ms | z |
| 45.0ms | (-.f64 1 z) |
| 44.0ms | (-.f64 1 z) |
| 24.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 15.5b | 4 | x |
| 12.4b | 10 | y |
| 10.0b | 5 | z |
| 9.0b | 7 | (-.f64 1 z) |
| 9.0b | 7 | (-.f64 1 z) |
Compiled 50 to 32 computations (36% saved)
| 6× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 3.617404108547702e+131 | 2.6296509208010626e+135 |
| 0.0ms | 286007131.76590586 | 1276315717.0921998 |
| 0.0ms | -717314.7439188524 | 0.9002856451038177 |
| 0.0ms | -10058390638.407017 | -1991074.7642118505 |
| 0.0ms | -2.360840373048438e+38 | -5.946325292056102e+26 |
| 0.0ms | -5.170281581746567e+234 | -4.086412871818335e+231 |
Compiled 16 to 12 computations (25% saved)
| Inputs |
|---|
y |
x |
(+.f64 y x) |
(*.f64 z (neg.f64 x)) |
(*.f64 y (neg.f64 z)) |
(-.f64 y (*.f64 y z)) |
| Outputs |
|---|
(*.f64 z (neg.f64 x)) |
(-.f64 y (*.f64 y z)) |
(+.f64 y x) |
(-.f64 y (*.f64 y z)) |
(*.f64 z (neg.f64 x)) |
3 calls:
| 216.0ms | y |
| 39.0ms | z |
| 23.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 15.5b | 4 | x |
| 12.4b | 10 | y |
| 10.0b | 5 | z |
Compiled 33 to 19 computations (42.4% saved)
| 4× | binary-search |
| Time | Left | Right |
|---|---|---|
| 16.0ms | 4.086412871818335e+231 | 5.170281581746567e+234 |
| 58.0ms | 0.09971435489618234 | 717315.7439188524 |
| 24.0ms | -1276315716.0921998 | -286007130.76590586 |
| 22.0ms | -2.6296509208010626e+135 | -3.617404108547702e+131 |
Compiled 288 to 204 computations (29.2% saved)
| Inputs |
|---|
y |
x |
(+.f64 y x) |
(*.f64 z (neg.f64 x)) |
(*.f64 y (neg.f64 z)) |
| Outputs |
|---|
(*.f64 z (neg.f64 x)) |
(*.f64 y (neg.f64 z)) |
(+.f64 y x) |
(*.f64 y (neg.f64 z)) |
(*.f64 z (neg.f64 x)) |
3 calls:
| 77.0ms | y |
| 28.0ms | z |
| 21.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 22.5b | 5 | x |
| 18.9b | 9 | y |
| 10.3b | 5 | z |
Compiled 28 to 17 computations (39.3% saved)
| 4× | binary-search |
| Time | Left | Right |
|---|---|---|
| 16.0ms | 4.086412871818335e+231 | 5.170281581746567e+234 |
| 17.0ms | 0.09971435489618234 | 717315.7439188524 |
| 19.0ms | -1276315716.0921998 | -286007130.76590586 |
| 23.0ms | -2.6296509208010626e+135 | -3.617404108547702e+131 |
Compiled 272 to 204 computations (25% saved)
| Inputs |
|---|
y |
x |
(+.f64 y x) |
(*.f64 z (neg.f64 x)) |
| Outputs |
|---|
(*.f64 z (neg.f64 x)) |
(+.f64 y x) |
(*.f64 z (neg.f64 x)) |
3 calls:
| 45.0ms | y |
| 13.0ms | z |
| 12.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 23.6b | 3 | x |
| 21.6b | 5 | y |
| 14.3b | 3 | z |
Compiled 24 to 15 computations (37.5% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 42.0ms | 0.09971435489618234 | 717315.7439188524 |
| 16.0ms | -232907.12960139074 | -0.0007529062585643469 |
Compiled 16 to 12 computations (25% saved)
| Inputs |
|---|
y |
x |
(+.f64 y x) |
| Outputs |
|---|
(+.f64 y x) |
3 calls:
| 5.0ms | z |
| 4.0ms | x |
| 4.0ms | y |
| Error | Segments | Branch |
|---|---|---|
| 24.9b | 1 | x |
| 24.9b | 1 | y |
| 24.9b | 1 | z |
Compiled 20 to 13 computations (35% saved)
Total -32.3b remaining (-107.9%)
Threshold costs -32.3b (-107.9%)
| Inputs |
|---|
y |
x |
| Outputs |
|---|
x |
y |
3 calls:
| 15.0ms | z |
| 10.0ms | x |
| 10.0ms | y |
| Error | Segments | Branch |
|---|---|---|
| 32.1b | 2 | x |
| 29.9b | 2 | y |
| 40.0b | 4 | z |
Compiled 17 to 12 computations (29.4% saved)
| 1× | binary-search |
| Time | Left | Right |
|---|---|---|
| 18.0ms | 1.5114795816327223e-148 | 3.343625627630482e-139 |
Compiled 16 to 12 computations (25% saved)
| 1× | egg-herbie |
| 15× | *-commutative_binary64 |
| 12× | +-commutative_binary64 |
| 11× | sub-neg_binary64 |
| 8× | neg-sub0_binary64 |
| 8× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 83 | 394 |
| 1 | 113 | 394 |
| 2 | 130 | 394 |
| 3 | 144 | 394 |
| 4 | 154 | 394 |
| 5 | 157 | 394 |
| 6 | 158 | 394 |
| 1× | fuel |
| 1× | saturated |
| Inputs |
|---|
(*.f64 (+.f64 x y) (-.f64 1 z)) |
(if (<=.f64 (-.f64 1 z) -500000) (*.f64 z (-.f64 (neg.f64 y) x)) (if (<=.f64 (-.f64 1 z) 1) (+.f64 y x) (if (<=.f64 (-.f64 1 z) 500000000) (-.f64 x (*.f64 z x)) (if (<=.f64 (-.f64 1 z) 200000000000000000) (*.f64 y (-.f64 1 z)) (*.f64 z (-.f64 (neg.f64 y) x)))))) |
(if (<=.f64 y 8704020915171627/57586096570152913699974892898380567793532123114264532903689671329431521032595044740083720782129802971518987656109067457577065805510327036019308994315074097345724416) (-.f64 x (*.f64 z x)) (if (<=.f64 y 6694632294131719/84615164005151820665845159428194693098035799419427996068435045795123941278247852265624218936283556460491675139202989862944768) (*.f64 y (-.f64 1 z)) (if (<=.f64 y 2986538959750497/30354201441027016733116592294117482916287606860189680019559568902170379456331382784) (+.f64 y x) (if (<=.f64 y 284912895422498112) (-.f64 y (*.f64 y z)) (if (<=.f64 y 312224816884348458932808528444971135533056) (-.f64 x (*.f64 z x)) (*.f64 y (-.f64 1 z))))))) |
(if (<=.f64 (-.f64 1 z) -5000000000000000265830098313298245178016947287622550486678486493521945761146082797297502145674652454512860840906256046981475222569026826936584608154510201938349585198667111756724875341881416615617731891764574033605618465285179569078272) (*.f64 z (neg.f64 x)) (if (<=.f64 (-.f64 1 z) -199999999999999995497619646912068059136) (*.f64 y (neg.f64 z)) (if (<=.f64 (-.f64 1 z) -10000000000) (*.f64 z (neg.f64 x)) (if (<=.f64 (-.f64 1 z) -500000) (*.f64 y (-.f64 1 z)) (if (<=.f64 (-.f64 1 z) 500000000) (+.f64 y x) (if (<=.f64 (-.f64 1 z) 499999999999999995414783701180638281843304424991242455992046113258834575832799818100521466993270785184801126587914991362494731124736) (*.f64 y (-.f64 1 z)) (*.f64 z (neg.f64 x)))))))) |
(if (<=.f64 z -369999999999999995030859691017893160072883670487774865230924552992919719398340129224557014715131956580182183479660467975980981420032) (*.f64 z (neg.f64 x)) (if (<=.f64 z -2676628056634189/2097152) (-.f64 y (*.f64 y z)) (if (<=.f64 z 7185176504862979/72057594037927936) (+.f64 y x) (if (<=.f64 z 5099999999999999932265025234578110447684225168819657894249586801203081714360772749720192545244325514898247538296781531413360867226327774100520676412193492261930206284206921220163841870793110479214237830475442187426847697130739516571648) (-.f64 y (*.f64 y z)) (*.f64 z (neg.f64 x)))))) |
(if (<=.f64 z -369999999999999995030859691017893160072883670487774865230924552992919719398340129224557014715131956580182183479660467975980981420032) (*.f64 z (neg.f64 x)) (if (<=.f64 z -2676628056634189/2097152) (*.f64 y (neg.f64 z)) (if (<=.f64 z 7185176504862979/72057594037927936) (+.f64 y x) (if (<=.f64 z 5099999999999999932265025234578110447684225168819657894249586801203081714360772749720192545244325514898247538296781531413360867226327774100520676412193492261930206284206921220163841870793110479214237830475442187426847697130739516571648) (*.f64 y (neg.f64 z)) (*.f64 z (neg.f64 x)))))) |
(if (<=.f64 z -4001314018572827/17179869184) (*.f64 z (neg.f64 x)) (if (<=.f64 z 7185176504862979/72057594037927936) (+.f64 y x) (*.f64 z (neg.f64 x)))) |
(+.f64 y x) |
(if (<=.f64 y 8704020915171627/57586096570152913699974892898380567793532123114264532903689671329431521032595044740083720782129802971518987656109067457577065805510327036019308994315074097345724416) x y) |
y |
| Outputs |
|---|
(*.f64 (+.f64 x y) (-.f64 1 z)) |
(*.f64 (-.f64 1 z) (+.f64 x y)) |
(if (<=.f64 (-.f64 1 z) -500000) (*.f64 z (-.f64 (neg.f64 y) x)) (if (<=.f64 (-.f64 1 z) 1) (+.f64 y x) (if (<=.f64 (-.f64 1 z) 500000000) (-.f64 x (*.f64 z x)) (if (<=.f64 (-.f64 1 z) 200000000000000000) (*.f64 y (-.f64 1 z)) (*.f64 z (-.f64 (neg.f64 y) x)))))) |
(if (<=.f64 (-.f64 1 z) -500000) (*.f64 z (-.f64 (neg.f64 y) x)) (if (<=.f64 (-.f64 1 z) 1) (+.f64 x y) (if (<=.f64 (-.f64 1 z) 500000000) (-.f64 x (*.f64 x z)) (if (<=.f64 (-.f64 1 z) 200000000000000000) (*.f64 y (-.f64 1 z)) (*.f64 z (-.f64 (neg.f64 y) x)))))) |
(if (<=.f64 y 8704020915171627/57586096570152913699974892898380567793532123114264532903689671329431521032595044740083720782129802971518987656109067457577065805510327036019308994315074097345724416) (-.f64 x (*.f64 z x)) (if (<=.f64 y 6694632294131719/84615164005151820665845159428194693098035799419427996068435045795123941278247852265624218936283556460491675139202989862944768) (*.f64 y (-.f64 1 z)) (if (<=.f64 y 2986538959750497/30354201441027016733116592294117482916287606860189680019559568902170379456331382784) (+.f64 y x) (if (<=.f64 y 284912895422498112) (-.f64 y (*.f64 y z)) (if (<=.f64 y 312224816884348458932808528444971135533056) (-.f64 x (*.f64 z x)) (*.f64 y (-.f64 1 z))))))) |
(if (<=.f64 y 8704020915171627/57586096570152913699974892898380567793532123114264532903689671329431521032595044740083720782129802971518987656109067457577065805510327036019308994315074097345724416) (-.f64 x (*.f64 x z)) (if (<=.f64 y 6694632294131719/84615164005151820665845159428194693098035799419427996068435045795123941278247852265624218936283556460491675139202989862944768) (*.f64 y (-.f64 1 z)) (if (<=.f64 y 2986538959750497/30354201441027016733116592294117482916287606860189680019559568902170379456331382784) (+.f64 x y) (if (<=.f64 y 284912895422498112) (-.f64 y (*.f64 y z)) (if (<=.f64 y 312224816884348458932808528444971135533056) (-.f64 x (*.f64 x z)) (*.f64 y (-.f64 1 z))))))) |
(if (<=.f64 (-.f64 1 z) -5000000000000000265830098313298245178016947287622550486678486493521945761146082797297502145674652454512860840906256046981475222569026826936584608154510201938349585198667111756724875341881416615617731891764574033605618465285179569078272) (*.f64 z (neg.f64 x)) (if (<=.f64 (-.f64 1 z) -199999999999999995497619646912068059136) (*.f64 y (neg.f64 z)) (if (<=.f64 (-.f64 1 z) -10000000000) (*.f64 z (neg.f64 x)) (if (<=.f64 (-.f64 1 z) -500000) (*.f64 y (-.f64 1 z)) (if (<=.f64 (-.f64 1 z) 500000000) (+.f64 y x) (if (<=.f64 (-.f64 1 z) 499999999999999995414783701180638281843304424991242455992046113258834575832799818100521466993270785184801126587914991362494731124736) (*.f64 y (-.f64 1 z)) (*.f64 z (neg.f64 x)))))))) |
(if (<=.f64 (-.f64 1 z) -5000000000000000265830098313298245178016947287622550486678486493521945761146082797297502145674652454512860840906256046981475222569026826936584608154510201938349585198667111756724875341881416615617731891764574033605618465285179569078272) (*.f64 z (neg.f64 x)) (if (<=.f64 (-.f64 1 z) -199999999999999995497619646912068059136) (*.f64 y (neg.f64 z)) (if (<=.f64 (-.f64 1 z) -10000000000) (*.f64 z (neg.f64 x)) (if (<=.f64 (-.f64 1 z) -500000) (*.f64 y (-.f64 1 z)) (if (<=.f64 (-.f64 1 z) 500000000) (+.f64 x y) (if (<=.f64 (-.f64 1 z) 499999999999999995414783701180638281843304424991242455992046113258834575832799818100521466993270785184801126587914991362494731124736) (*.f64 y (-.f64 1 z)) (*.f64 z (neg.f64 x)))))))) |
(if (<=.f64 (-.f64 1 z) -5000000000000000265830098313298245178016947287622550486678486493521945761146082797297502145674652454512860840906256046981475222569026826936584608154510201938349585198667111756724875341881416615617731891764574033605618465285179569078272) (*.f64 x (neg.f64 z)) (if (<=.f64 (-.f64 1 z) -199999999999999995497619646912068059136) (*.f64 y (neg.f64 z)) (if (<=.f64 (-.f64 1 z) -10000000000) (*.f64 x (neg.f64 z)) (if (<=.f64 (-.f64 1 z) -500000) (*.f64 y (-.f64 1 z)) (if (<=.f64 (-.f64 1 z) 500000000) (+.f64 x y) (if (<=.f64 (-.f64 1 z) 499999999999999995414783701180638281843304424991242455992046113258834575832799818100521466993270785184801126587914991362494731124736) (*.f64 y (-.f64 1 z)) (*.f64 x (neg.f64 z)))))))) |
(if (<=.f64 z -369999999999999995030859691017893160072883670487774865230924552992919719398340129224557014715131956580182183479660467975980981420032) (*.f64 z (neg.f64 x)) (if (<=.f64 z -2676628056634189/2097152) (-.f64 y (*.f64 y z)) (if (<=.f64 z 7185176504862979/72057594037927936) (+.f64 y x) (if (<=.f64 z 5099999999999999932265025234578110447684225168819657894249586801203081714360772749720192545244325514898247538296781531413360867226327774100520676412193492261930206284206921220163841870793110479214237830475442187426847697130739516571648) (-.f64 y (*.f64 y z)) (*.f64 z (neg.f64 x)))))) |
(if (<=.f64 z -369999999999999995030859691017893160072883670487774865230924552992919719398340129224557014715131956580182183479660467975980981420032) (*.f64 z (neg.f64 x)) (if (<=.f64 z -2676628056634189/2097152) (-.f64 y (*.f64 y z)) (if (<=.f64 z 7185176504862979/72057594037927936) (+.f64 x y) (if (<=.f64 z 5099999999999999932265025234578110447684225168819657894249586801203081714360772749720192545244325514898247538296781531413360867226327774100520676412193492261930206284206921220163841870793110479214237830475442187426847697130739516571648) (-.f64 y (*.f64 y z)) (*.f64 z (neg.f64 x)))))) |
(if (<=.f64 z -369999999999999995030859691017893160072883670487774865230924552992919719398340129224557014715131956580182183479660467975980981420032) (*.f64 x (neg.f64 z)) (if (<=.f64 z -2676628056634189/2097152) (-.f64 y (*.f64 y z)) (if (<=.f64 z 7185176504862979/72057594037927936) (+.f64 x y) (if (<=.f64 z 5099999999999999932265025234578110447684225168819657894249586801203081714360772749720192545244325514898247538296781531413360867226327774100520676412193492261930206284206921220163841870793110479214237830475442187426847697130739516571648) (-.f64 y (*.f64 y z)) (*.f64 x (neg.f64 z)))))) |
(if (<=.f64 z -369999999999999995030859691017893160072883670487774865230924552992919719398340129224557014715131956580182183479660467975980981420032) (*.f64 z (neg.f64 x)) (if (<=.f64 z -2676628056634189/2097152) (*.f64 y (neg.f64 z)) (if (<=.f64 z 7185176504862979/72057594037927936) (+.f64 y x) (if (<=.f64 z 5099999999999999932265025234578110447684225168819657894249586801203081714360772749720192545244325514898247538296781531413360867226327774100520676412193492261930206284206921220163841870793110479214237830475442187426847697130739516571648) (*.f64 y (neg.f64 z)) (*.f64 z (neg.f64 x)))))) |
(if (<=.f64 z -369999999999999995030859691017893160072883670487774865230924552992919719398340129224557014715131956580182183479660467975980981420032) (*.f64 z (neg.f64 x)) (if (<=.f64 z -2676628056634189/2097152) (*.f64 y (neg.f64 z)) (if (<=.f64 z 7185176504862979/72057594037927936) (+.f64 x y) (if (<=.f64 z 5099999999999999932265025234578110447684225168819657894249586801203081714360772749720192545244325514898247538296781531413360867226327774100520676412193492261930206284206921220163841870793110479214237830475442187426847697130739516571648) (*.f64 y (neg.f64 z)) (*.f64 z (neg.f64 x)))))) |
(if (<=.f64 z -369999999999999995030859691017893160072883670487774865230924552992919719398340129224557014715131956580182183479660467975980981420032) (*.f64 x (neg.f64 z)) (if (<=.f64 z -2676628056634189/2097152) (*.f64 y (neg.f64 z)) (if (<=.f64 z 7185176504862979/72057594037927936) (+.f64 x y) (if (<=.f64 z 5099999999999999932265025234578110447684225168819657894249586801203081714360772749720192545244325514898247538296781531413360867226327774100520676412193492261930206284206921220163841870793110479214237830475442187426847697130739516571648) (*.f64 y (neg.f64 z)) (*.f64 x (neg.f64 z)))))) |
(if (<=.f64 z -4001314018572827/17179869184) (*.f64 z (neg.f64 x)) (if (<=.f64 z 7185176504862979/72057594037927936) (+.f64 y x) (*.f64 z (neg.f64 x)))) |
(if (<=.f64 z -4001314018572827/17179869184) (*.f64 z (neg.f64 x)) (if (<=.f64 z 7185176504862979/72057594037927936) (+.f64 x y) (*.f64 z (neg.f64 x)))) |
(if (<=.f64 z -4001314018572827/17179869184) (*.f64 x (neg.f64 z)) (if (<=.f64 z 7185176504862979/72057594037927936) (+.f64 x y) (*.f64 x (neg.f64 z)))) |
(+.f64 y x) |
(+.f64 x y) |
(if (<=.f64 y 8704020915171627/57586096570152913699974892898380567793532123114264532903689671329431521032595044740083720782129802971518987656109067457577065805510327036019308994315074097345724416) x y) |
y |
Compiled 300 to 175 computations (41.7% saved)
(sort x y)
Compiled 293 to 144 computations (50.9% saved)
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