Time bar (total: 6.7s)
| 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)
| 1.9s | 8254× | body | 256 | valid |
| 474.0ms | 1079× | body | 256 | invalid |
| 0.0ms | 1× | body | 1024 | valid |
| 0.0ms | 1× | body | 512 | valid |
| 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 | |
|---|---|---|---|---|
| 2.0ms | y | @ | inf | (*.f64 (+.f64 x y) (-.f64 1 z)) |
| 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× | 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)
6 alts after pruning (6 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 42 | 6 | 48 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 43 | 6 | 49 |
| Status | Error | Program |
|---|---|---|
| 41.6b | (*.f64 z (-.f64 (neg.f64 y) x)) | |
| ▶ | 21.5b | (+.f64 y x) |
| ▶ | 33.3b | (-.f64 x (*.f64 z x)) |
| ▶ | 33.3b | (*.f64 (-.f64 1 z) x) |
| ▶ | 30.0b | (-.f64 y (*.f64 y z)) |
| ▶ | 30.0b | (*.f64 y (-.f64 1 z)) |
Compiled 94 to 64 computations (31.9% 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 | z | @ | inf | (*.f64 y (-.f64 1 z)) |
| 1.0ms | z | @ | 0 | (*.f64 y (-.f64 1 z)) |
| 1.0ms | y | @ | -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 | x | @ | -inf | (*.f64 (-.f64 1 z) x) |
| 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× | 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 | @ | 0 | (-.f64 x (*.f64 z x)) |
| 1.0ms | x | @ | -inf | (-.f64 x (*.f64 z x)) |
| 0.0ms | z | @ | inf | (-.f64 x (*.f64 z x)) |
| 0.0ms | 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)) |
| 0.0ms | y | @ | inf | (-.f64 y (*.f64 y z)) |
| 0.0ms | z | @ | inf | (-.f64 y (*.f64 y z)) |
| 0.0ms | z | @ | -inf | (-.f64 y (*.f64 y z)) |
| 0.0ms | 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)
10 alts after pruning (5 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 133 | 4 | 137 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 4 | 4 |
| Total | 133 | 10 | 143 |
| Status | Error | Program |
|---|---|---|
| ▶ | 51.7b | (*.f64 y (neg.f64 z)) |
| 43.2b | x | |
| ▶ | 41.6b | (*.f64 z (-.f64 (neg.f64 y) x)) |
| ✓ | 21.5b | (+.f64 y x) |
| ▶ | 52.5b | (*.f64 z (neg.f64 x)) |
| ✓ | 33.3b | (-.f64 x (*.f64 z x)) |
| ✓ | 33.3b | (*.f64 (-.f64 1 z) x) |
| 41.2b | y | |
| ✓ | 30.0b | (-.f64 y (*.f64 y z)) |
| ✓ | 30.0b | (*.f64 y (-.f64 1 z)) |
Compiled 69 to 48 computations (30.4% saved)
Compiled 11 to 5 computations (54.5% saved)
Compiled 11 to 5 computations (54.5% saved)
Compiled 18 to 6 computations (66.7% saved)
Compiled 3 to 3 computations (0% saved)
10 alts after pruning (2 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 0 | 0 | 0 |
| Fresh | 0 | 2 | 2 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 7 | 7 |
| Total | 0 | 10 | 10 |
| Status | Error | Program |
|---|---|---|
| ✓ | 51.7b | (*.f64 y (neg.f64 z)) |
| 43.2b | x | |
| ✓ | 41.6b | (*.f64 z (-.f64 (neg.f64 y) x)) |
| ✓ | 21.5b | (+.f64 y x) |
| ✓ | 52.5b | (*.f64 z (neg.f64 x)) |
| ✓ | 33.3b | (-.f64 x (*.f64 z x)) |
| ✓ | 33.3b | (*.f64 (-.f64 1 z) x) |
| 41.2b | y | |
| ✓ | 30.0b | (-.f64 y (*.f64 y z)) |
| ✓ | 30.0b | (*.f64 y (-.f64 1 z)) |
Compiled 69 to 48 computations (30.4% saved)
Compiled 3 to 3 computations (0% saved)
10 alts after pruning (2 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 0 | 0 | 0 |
| Fresh | 0 | 2 | 2 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 8 | 8 |
| Total | 0 | 10 | 10 |
| Status | Error | Program |
|---|---|---|
| ✓ | 51.7b | (*.f64 y (neg.f64 z)) |
| 43.2b | x | |
| ✓ | 41.6b | (*.f64 z (-.f64 (neg.f64 y) x)) |
| ✓ | 21.5b | (+.f64 y x) |
| ✓ | 52.5b | (*.f64 z (neg.f64 x)) |
| ✓ | 33.3b | (-.f64 x (*.f64 z x)) |
| ✓ | 33.3b | (*.f64 (-.f64 1 z) x) |
| 41.2b | y | |
| ✓ | 30.0b | (-.f64 y (*.f64 y z)) |
| ✓ | 30.0b | (*.f64 y (-.f64 1 z)) |
Compiled 69 to 48 computations (30.4% saved)
| Inputs |
|---|
x |
y |
(+.f64 y x) |
(*.f64 y (neg.f64 z)) |
(*.f64 z (neg.f64 x)) |
(-.f64 x (*.f64 z x)) |
(*.f64 (-.f64 1 z) x) |
(-.f64 y (*.f64 y z)) |
(*.f64 y (-.f64 1 z)) |
(*.f64 z (-.f64 (neg.f64 y) x)) |
(*.f64 (+.f64 x y) (-.f64 1 z)) |
| Outputs |
|---|
(*.f64 (+.f64 x y) (-.f64 1 z)) |
6 calls:
| 9.0ms | y |
| 8.0ms | (*.f64 (+.f64 x y) (-.f64 1 z)) |
| 7.0ms | x |
| 7.0ms | (+.f64 x y) |
| 7.0ms | 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 |
|---|
x |
y |
(+.f64 y x) |
(*.f64 y (neg.f64 z)) |
(*.f64 z (neg.f64 x)) |
(-.f64 x (*.f64 z x)) |
(*.f64 (-.f64 1 z) x) |
(-.f64 y (*.f64 y z)) |
(*.f64 y (-.f64 1 z)) |
(*.f64 z (-.f64 (neg.f64 y) x)) |
| Outputs |
|---|
(*.f64 z (-.f64 (neg.f64 y) x)) |
(+.f64 y x) |
(*.f64 z (-.f64 (neg.f64 y) x)) |
5 calls:
| 150.0ms | x |
| 63.0ms | y |
| 37.0ms | z |
| 12.0ms | (-.f64 1 z) |
| 10.0ms | (-.f64 1 z) |
| Error | Segments | Branch |
|---|---|---|
| 10.1b | 5 | x |
| 10.7b | 4 | y |
| 1.5b | 3 | z |
| 1.5b | 3 | (-.f64 1 z) |
| 1.5b | 3 | (-.f64 1 z) |
Compiled 66 to 40 computations (39.4% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 34.0ms | 0.018921147035074054 | 1740856969152453.8 |
| 34.0ms | -31.478184482420488 | -0.035807130882869256 |
Compiled 16 to 12 computations (25% saved)
| Inputs |
|---|
x |
y |
(+.f64 y x) |
(*.f64 y (neg.f64 z)) |
(*.f64 z (neg.f64 x)) |
(-.f64 x (*.f64 z x)) |
(*.f64 (-.f64 1 z) x) |
(-.f64 y (*.f64 y z)) |
(*.f64 y (-.f64 1 z)) |
| Outputs |
|---|
(*.f64 y (neg.f64 z)) |
(*.f64 z (neg.f64 x)) |
(*.f64 y (-.f64 1 z)) |
(-.f64 x (*.f64 z x)) |
(+.f64 y x) |
(-.f64 y (*.f64 y z)) |
5 calls:
| 104.0ms | x |
| 102.0ms | z |
| 45.0ms | (-.f64 1 z) |
| 16.0ms | y |
| 12.0ms | (-.f64 1 z) |
| Error | Segments | Branch |
|---|---|---|
| 10.0b | 5 | x |
| 11.9b | 2 | y |
| 7.8b | 6 | z |
| 9.0b | 4 | (-.f64 1 z) |
| 9.0b | 4 | (-.f64 1 z) |
Compiled 60 to 37 computations (38.3% saved)
| 5× | binary-search |
| Time | Left | Right |
|---|---|---|
| 18.0ms | 5.528043891926385e-19 | 6.47471464451775e-12 |
| 18.0ms | -0.035807130882869256 | -0.00010831530909749467 |
| 18.0ms | -36111370392.179504 | -69709375.1095636 |
| 106.0ms | -3.914912478849026e+82 | -4.04391276039134e+61 |
| 48.0ms | -2.996705106672888e+255 | -2.489878697669184e+253 |
Compiled 315 to 239 computations (24.1% saved)
| Inputs |
|---|
x |
y |
(+.f64 y x) |
(*.f64 y (neg.f64 z)) |
(*.f64 z (neg.f64 x)) |
(-.f64 x (*.f64 z x)) |
(*.f64 (-.f64 1 z) x) |
(-.f64 y (*.f64 y z)) |
| Outputs |
|---|
(*.f64 y (neg.f64 z)) |
(*.f64 z (neg.f64 x)) |
(*.f64 y (neg.f64 z)) |
(-.f64 x (*.f64 z x)) |
(+.f64 y x) |
(-.f64 y (*.f64 y z)) |
5 calls:
| 273.0ms | z |
| 206.0ms | y |
| 34.0ms | x |
| 22.0ms | (-.f64 1 z) |
| 11.0ms | (-.f64 1 z) |
| Error | Segments | Branch |
|---|---|---|
| 10.0b | 5 | x |
| 11.9b | 2 | y |
| 7.8b | 6 | z |
| 9.0b | 4 | (-.f64 1 z) |
| 9.0b | 4 | (-.f64 1 z) |
Compiled 55 to 34 computations (38.2% saved)
| 5× | binary-search |
| Time | Left | Right |
|---|---|---|
| 19.0ms | 5.528043891926385e-19 | 6.47471464451775e-12 |
| 21.0ms | -0.035807130882869256 | -0.00010831530909749467 |
| 18.0ms | -2.5926001215817836e+20 | -15817218364196.613 |
| 118.0ms | -3.914912478849026e+82 | -4.04391276039134e+61 |
| 18.0ms | -2.996705106672888e+255 | -2.489878697669184e+253 |
Compiled 304 to 228 computations (25% saved)
| Inputs |
|---|
x |
y |
(+.f64 y x) |
(*.f64 y (neg.f64 z)) |
(*.f64 z (neg.f64 x)) |
(-.f64 x (*.f64 z x)) |
(*.f64 (-.f64 1 z) x) |
| Outputs |
|---|
(*.f64 y (neg.f64 z)) |
(*.f64 z (neg.f64 x)) |
(*.f64 y (neg.f64 z)) |
(-.f64 x (*.f64 z x)) |
(+.f64 y x) |
(*.f64 y (neg.f64 z)) |
5 calls:
| 38.0ms | z |
| 34.0ms | (-.f64 1 z) |
| 23.0ms | x |
| 17.0ms | y |
| 11.0ms | (-.f64 1 z) |
| Error | Segments | Branch |
|---|---|---|
| 16.5b | 4 | x |
| 14.8b | 2 | y |
| 8.2b | 6 | z |
| 9.5b | 4 | (-.f64 1 z) |
| 9.5b | 4 | (-.f64 1 z) |
Compiled 50 to 32 computations (36% saved)
| 5× | binary-search |
| Time | Left | Right |
|---|---|---|
| 55.0ms | 0.018921147035074054 | 1740856969152453.8 |
| 28.0ms | -0.035807130882869256 | -0.00010831530909749467 |
| 21.0ms | -2.5926001215817836e+20 | -15817218364196.613 |
| 81.0ms | -3.914912478849026e+82 | -4.04391276039134e+61 |
| 17.0ms | -2.996705106672888e+255 | -2.489878697669184e+253 |
Compiled 304 to 228 computations (25% saved)
| Inputs |
|---|
x |
y |
(+.f64 y x) |
(*.f64 y (neg.f64 z)) |
(*.f64 z (neg.f64 x)) |
| Outputs |
|---|
(*.f64 y (neg.f64 z)) |
(*.f64 z (neg.f64 x)) |
(*.f64 y (neg.f64 z)) |
(+.f64 y x) |
(*.f64 y (neg.f64 z)) |
3 calls:
| 22.0ms | z |
| 21.0ms | x |
| 5.0ms | y |
| Error | Segments | Branch |
|---|---|---|
| 18.9b | 5 | x |
| 21.5b | 1 | y |
| 8.9b | 5 | z |
Compiled 28 to 17 computations (39.3% saved)
| 4× | binary-search |
| Time | Left | Right |
|---|---|---|
| 27.0ms | 0.018921147035074054 | 1740856969152453.8 |
| 18.0ms | -36111370392.179504 | -69709375.1095636 |
| 78.0ms | -3.914912478849026e+82 | -4.04391276039134e+61 |
| 18.0ms | -2.996705106672888e+255 | -2.489878697669184e+253 |
Compiled 304 to 228 computations (25% saved)
| Inputs |
|---|
x |
y |
(+.f64 y x) |
(*.f64 y (neg.f64 z)) |
| Outputs |
|---|
(*.f64 y (neg.f64 z)) |
(+.f64 y x) |
(*.f64 y (neg.f64 z)) |
3 calls:
| 26.0ms | z |
| 23.0ms | x |
| 9.0ms | y |
| Error | Segments | Branch |
|---|---|---|
| 20.1b | 3 | x |
| 21.5b | 1 | y |
| 11.4b | 3 | z |
Compiled 24 to 15 computations (37.5% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 32.0ms | 0.018921147035074054 | 1740856969152453.8 |
| 35.0ms | -36111370392.179504 | -69709375.1095636 |
Compiled 16 to 12 computations (25% saved)
| Inputs |
|---|
x |
y |
(+.f64 y x) |
| Outputs |
|---|
(+.f64 y x) |
3 calls:
| 9.0ms | x |
| 9.0ms | z |
| 8.0ms | y |
| Error | Segments | Branch |
|---|---|---|
| 21.5b | 1 | x |
| 21.5b | 1 | y |
| 21.5b | 1 | z |
Compiled 20 to 13 computations (35% saved)
Total -33.4b remaining (-116.3%)
Threshold costs -33.4b (-116.3%)
| Inputs |
|---|
x |
y |
| Outputs |
|---|
x |
y |
3 calls:
| 12.0ms | z |
| 9.0ms | y |
| 9.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 28.9b | 2 | x |
| 28.7b | 2 | y |
| 37.7b | 4 | z |
Compiled 17 to 12 computations (29.4% saved)
| 1× | binary-search |
| Time | Left | Right |
|---|---|---|
| 19.0ms | 2.1162337836756516e-94 | 7.721103852565424e-93 |
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 | 59 | 335 |
| 1 | 89 | 335 |
| 2 | 106 | 335 |
| 3 | 120 | 335 |
| 4 | 130 | 335 |
| 5 | 133 | 335 |
| 6 | 134 | 335 |
| 1× | fuel |
| 1× | saturated |
| Inputs |
|---|
(*.f64 (+.f64 x y) (-.f64 1 z)) |
(if (<=.f64 z -276885038877595/8796093022208) (*.f64 z (-.f64 (neg.f64 y) x)) (if (<=.f64 z 681706165892655/36028797018963968) (+.f64 y x) (*.f64 z (-.f64 (neg.f64 y) x)))) |
(if (<=.f64 z -24999999999999998408967673444189794341064268318925183912098601808395390695131768872233467486467368944952587956523514231137876660413285839359430656023550013900454299256803096420322156093509995690884579934801657876943589895734499290602919924235122570690560) (*.f64 y (neg.f64 z)) (if (<=.f64 z -27500000000000000336418624259042209478779496836300323498533466926425656371707904) (*.f64 z (neg.f64 x)) (if (<=.f64 z -591648692505469/16384) (*.f64 y (-.f64 1 z)) (if (<=.f64 z -2580175700820745/72057594037927936) (-.f64 x (*.f64 z x)) (if (<=.f64 z 2870324493389201/5192296858534827628530496329220096) (+.f64 y x) (-.f64 y (*.f64 y z))))))) |
(if (<=.f64 z -24999999999999998408967673444189794341064268318925183912098601808395390695131768872233467486467368944952587956523514231137876660413285839359430656023550013900454299256803096420322156093509995690884579934801657876943589895734499290602919924235122570690560) (*.f64 y (neg.f64 z)) (if (<=.f64 z -27500000000000000336418624259042209478779496836300323498533466926425656371707904) (*.f64 z (neg.f64 x)) (if (<=.f64 z -259260012158178361344) (*.f64 y (neg.f64 z)) (if (<=.f64 z -2580175700820745/72057594037927936) (-.f64 x (*.f64 z x)) (if (<=.f64 z 2870324493389201/5192296858534827628530496329220096) (+.f64 y x) (-.f64 y (*.f64 y z))))))) |
(if (<=.f64 z -24999999999999998408967673444189794341064268318925183912098601808395390695131768872233467486467368944952587956523514231137876660413285839359430656023550013900454299256803096420322156093509995690884579934801657876943589895734499290602919924235122570690560) (*.f64 y (neg.f64 z)) (if (<=.f64 z -27500000000000000336418624259042209478779496836300323498533466926425656371707904) (*.f64 z (neg.f64 x)) (if (<=.f64 z -259260012158178361344) (*.f64 y (neg.f64 z)) (if (<=.f64 z -2580175700820745/72057594037927936) (-.f64 x (*.f64 z x)) (if (<=.f64 z 681706165892655/36028797018963968) (+.f64 y x) (*.f64 y (neg.f64 z))))))) |
(if (<=.f64 z -24999999999999998408967673444189794341064268318925183912098601808395390695131768872233467486467368944952587956523514231137876660413285839359430656023550013900454299256803096420322156093509995690884579934801657876943589895734499290602919924235122570690560) (*.f64 y (neg.f64 z)) (if (<=.f64 z -27500000000000000336418624259042209478779496836300323498533466926425656371707904) (*.f64 z (neg.f64 x)) (if (<=.f64 z -591648692505469/16384) (*.f64 y (neg.f64 z)) (if (<=.f64 z 681706165892655/36028797018963968) (+.f64 y x) (*.f64 y (neg.f64 z)))))) |
(if (<=.f64 z -591648692505469/16384) (*.f64 y (neg.f64 z)) (if (<=.f64 z 681706165892655/36028797018963968) (+.f64 y x) (*.f64 y (neg.f64 z)))) |
(+.f64 y x) |
(if (<=.f64 y 3976052124853485/18788340662190665823115844774314696219005460391266558965658327772257672200916867547709591987078149624255479808) x y) |
x |
| Outputs |
|---|
(*.f64 (+.f64 x y) (-.f64 1 z)) |
(*.f64 (-.f64 1 z) (+.f64 x y)) |
(if (<=.f64 z -276885038877595/8796093022208) (*.f64 z (-.f64 (neg.f64 y) x)) (if (<=.f64 z 681706165892655/36028797018963968) (+.f64 y x) (*.f64 z (-.f64 (neg.f64 y) x)))) |
(if (<=.f64 z -276885038877595/8796093022208) (*.f64 z (-.f64 (neg.f64 y) x)) (if (<=.f64 z 681706165892655/36028797018963968) (+.f64 x y) (*.f64 z (-.f64 (neg.f64 y) x)))) |
(if (<=.f64 z -24999999999999998408967673444189794341064268318925183912098601808395390695131768872233467486467368944952587956523514231137876660413285839359430656023550013900454299256803096420322156093509995690884579934801657876943589895734499290602919924235122570690560) (*.f64 y (neg.f64 z)) (if (<=.f64 z -27500000000000000336418624259042209478779496836300323498533466926425656371707904) (*.f64 z (neg.f64 x)) (if (<=.f64 z -591648692505469/16384) (*.f64 y (-.f64 1 z)) (if (<=.f64 z -2580175700820745/72057594037927936) (-.f64 x (*.f64 z x)) (if (<=.f64 z 2870324493389201/5192296858534827628530496329220096) (+.f64 y x) (-.f64 y (*.f64 y z))))))) |
(if (<=.f64 z -24999999999999998408967673444189794341064268318925183912098601808395390695131768872233467486467368944952587956523514231137876660413285839359430656023550013900454299256803096420322156093509995690884579934801657876943589895734499290602919924235122570690560) (*.f64 y (neg.f64 z)) (if (<=.f64 z -27500000000000000336418624259042209478779496836300323498533466926425656371707904) (*.f64 z (neg.f64 x)) (if (<=.f64 z -591648692505469/16384) (*.f64 y (-.f64 1 z)) (if (<=.f64 z -2580175700820745/72057594037927936) (-.f64 x (*.f64 x z)) (if (<=.f64 z 2870324493389201/5192296858534827628530496329220096) (+.f64 x y) (-.f64 y (*.f64 y z))))))) |
(if (<=.f64 z -24999999999999998408967673444189794341064268318925183912098601808395390695131768872233467486467368944952587956523514231137876660413285839359430656023550013900454299256803096420322156093509995690884579934801657876943589895734499290602919924235122570690560) (*.f64 y (neg.f64 z)) (if (<=.f64 z -27500000000000000336418624259042209478779496836300323498533466926425656371707904) (*.f64 z (neg.f64 x)) (if (<=.f64 z -259260012158178361344) (*.f64 y (neg.f64 z)) (if (<=.f64 z -2580175700820745/72057594037927936) (-.f64 x (*.f64 z x)) (if (<=.f64 z 2870324493389201/5192296858534827628530496329220096) (+.f64 y x) (-.f64 y (*.f64 y z))))))) |
(if (<=.f64 z -24999999999999998408967673444189794341064268318925183912098601808395390695131768872233467486467368944952587956523514231137876660413285839359430656023550013900454299256803096420322156093509995690884579934801657876943589895734499290602919924235122570690560) (*.f64 y (neg.f64 z)) (if (<=.f64 z -27500000000000000336418624259042209478779496836300323498533466926425656371707904) (*.f64 z (neg.f64 x)) (if (<=.f64 z -259260012158178361344) (*.f64 y (neg.f64 z)) (if (<=.f64 z -2580175700820745/72057594037927936) (-.f64 x (*.f64 x z)) (if (<=.f64 z 2870324493389201/5192296858534827628530496329220096) (+.f64 x y) (-.f64 y (*.f64 y z))))))) |
(if (<=.f64 z -24999999999999998408967673444189794341064268318925183912098601808395390695131768872233467486467368944952587956523514231137876660413285839359430656023550013900454299256803096420322156093509995690884579934801657876943589895734499290602919924235122570690560) (*.f64 y (neg.f64 z)) (if (<=.f64 z -27500000000000000336418624259042209478779496836300323498533466926425656371707904) (*.f64 z (neg.f64 x)) (if (<=.f64 z -259260012158178361344) (*.f64 y (neg.f64 z)) (if (<=.f64 z -2580175700820745/72057594037927936) (-.f64 x (*.f64 z x)) (if (<=.f64 z 681706165892655/36028797018963968) (+.f64 y x) (*.f64 y (neg.f64 z))))))) |
(if (<=.f64 z -24999999999999998408967673444189794341064268318925183912098601808395390695131768872233467486467368944952587956523514231137876660413285839359430656023550013900454299256803096420322156093509995690884579934801657876943589895734499290602919924235122570690560) (*.f64 y (neg.f64 z)) (if (<=.f64 z -27500000000000000336418624259042209478779496836300323498533466926425656371707904) (*.f64 z (neg.f64 x)) (if (<=.f64 z -259260012158178361344) (*.f64 y (neg.f64 z)) (if (<=.f64 z -2580175700820745/72057594037927936) (-.f64 x (*.f64 x z)) (if (<=.f64 z 681706165892655/36028797018963968) (+.f64 x y) (*.f64 y (neg.f64 z))))))) |
(if (<=.f64 z -24999999999999998408967673444189794341064268318925183912098601808395390695131768872233467486467368944952587956523514231137876660413285839359430656023550013900454299256803096420322156093509995690884579934801657876943589895734499290602919924235122570690560) (*.f64 y (neg.f64 z)) (if (<=.f64 z -27500000000000000336418624259042209478779496836300323498533466926425656371707904) (*.f64 z (neg.f64 x)) (if (<=.f64 z -591648692505469/16384) (*.f64 y (neg.f64 z)) (if (<=.f64 z 681706165892655/36028797018963968) (+.f64 y x) (*.f64 y (neg.f64 z)))))) |
(if (<=.f64 z -24999999999999998408967673444189794341064268318925183912098601808395390695131768872233467486467368944952587956523514231137876660413285839359430656023550013900454299256803096420322156093509995690884579934801657876943589895734499290602919924235122570690560) (*.f64 y (neg.f64 z)) (if (<=.f64 z -27500000000000000336418624259042209478779496836300323498533466926425656371707904) (*.f64 z (neg.f64 x)) (if (<=.f64 z -591648692505469/16384) (*.f64 y (neg.f64 z)) (if (<=.f64 z 681706165892655/36028797018963968) (+.f64 x y) (*.f64 y (neg.f64 z)))))) |
(if (<=.f64 z -591648692505469/16384) (*.f64 y (neg.f64 z)) (if (<=.f64 z 681706165892655/36028797018963968) (+.f64 y x) (*.f64 y (neg.f64 z)))) |
(if (<=.f64 z -591648692505469/16384) (*.f64 y (neg.f64 z)) (if (<=.f64 z 681706165892655/36028797018963968) (+.f64 x y) (*.f64 y (neg.f64 z)))) |
(+.f64 y x) |
(+.f64 x y) |
(if (<=.f64 y 3976052124853485/18788340662190665823115844774314696219005460391266558965658327772257672200916867547709591987078149624255479808) x y) |
x |
Compiled 259 to 147 computations (43.2% saved)
(sort x y)
Compiled 252 to 107 computations (57.5% saved)
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