Time bar (total: 5.0s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 2 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 3 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 4 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 5 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 6 |
| 12.5% | 12.5% | 87.4% | 0.1% | 0% | 0% | 0% | 7 |
| 18.8% | 18.7% | 81.1% | 0.1% | 0% | 0% | 0% | 8 |
| 28.1% | 28.1% | 71.8% | 0.1% | 0% | 0% | 0% | 9 |
| 37.6% | 34.3% | 56.9% | 0.1% | 8.6% | 0% | 0% | 10 |
| 44.8% | 40.6% | 49.9% | 0.1% | 9.4% | 0% | 0% | 11 |
| 53.4% | 48% | 41.9% | 0.1% | 9.9% | 0% | 0% | 12 |
Compiled 11 to 8 computations (27.3% saved)
| 1.5s | 8253× | body | 256 | valid |
| 179.0ms | 1086× | body | 256 | infinite |
| 1.0ms | 2× | 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 | |
|---|---|---|---|---|
| 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 | x | @ | -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 |
|---|---|---|
| ▶ | 34.3b | (-.f64 x (*.f64 z x)) |
| ✓ | 0.0b | (*.f64 (+.f64 x y) (-.f64 1 z)) |
| 43.2b | (*.f64 z (-.f64 (neg.f64 y) x)) | |
| ▶ | 20.0b | (+.f64 y x) |
| ▶ | 0.0b | (+.f64 (*.f64 (-.f64 1 z) y) (*.f64 (-.f64 1 z) x)) |
| ▶ | 29.9b | (-.f64 y (*.f64 y z)) |
| ▶ | 29.9b | (*.f64 y (-.f64 1 z)) |
Compiled 116 to 79 computations (31.9% saved)
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 (*.f64 (-.f64 1 z) y) (*.f64 (-.f64 1 z) x)) |
| ✓ | 0.0b | (*.f64 (-.f64 1 z) x) |
| ✓ | 0.0b | (*.f64 (-.f64 1 z) y) |
Compiled 31 to 19 computations (38.7% saved)
21 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | z | @ | 0 | (*.f64 (-.f64 1 z) x) |
| 1.0ms | z | @ | 0 | (*.f64 (-.f64 1 z) y) |
| 1.0ms | y | @ | inf | (*.f64 (-.f64 1 z) y) |
| 0.0ms | y | @ | 0 | (*.f64 (-.f64 1 z) y) |
| 0.0ms | x | @ | 0 | (*.f64 (-.f64 1 z) x) |
| 1× | batch-egg-rewrite |
| 490× | log-prod_binary64 |
| 425× | fma-def_binary64 |
| 360× | pow-prod-down_binary64 |
| 357× | exp-prod_binary64 |
| 261× | pow2_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 24 |
| 1 | 194 | 24 |
| 2 | 2686 | 24 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (-.f64 1 z) y) |
(*.f64 (-.f64 1 z) x) |
(+.f64 (*.f64 (-.f64 1 z) y) (*.f64 (-.f64 1 z) x)) |
| 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 0 (*.f64 (-.f64 1 z) y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 1 z)) y)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 1 z)) y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 1 z)) y))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 1 z)) y))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 1 z) y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 z 3)) y) (fma.f64 z (+.f64 1 z) 1))))) (#(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))) (fma.f64 z (+.f64 1 z) 1))))) (#(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 (-.f64 1 z) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (*.f64 (-.f64 1 z) y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (-.f64 1 z) y) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (-.f64 1 z) y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (-.f64 1 z) y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (-.f64 1 z) y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (-.f64 1 z) y))) 2)) (cbrt.f64 (log.f64 (*.f64 (-.f64 1 z) y))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 (-.f64 1 z) y)))) (sqrt.f64 (log.f64 (*.f64 (-.f64 1 z) y))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (-.f64 1 z) y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (-.f64 1 z)) y))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 1 z) y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (-.f64 1 z) y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (-.f64 1 z) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (-.f64 1 z) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (-.f64 1 z) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (-.f64 1 z) y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (-.f64 1 z) y))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (-.f64 1 z) y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 (-.f64 1 z) y))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (-.f64 1 z) y)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (-.f64 1 z) y)) 3) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 y (*.f64 (neg.f64 z) y))))) (#(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 y 1 (*.f64 (neg.f64 z) y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y 1 (*.f64 y (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 y) 2) (*.f64 (neg.f64 z) y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 y) 2) (*.f64 y (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 y) 2) (cbrt.f64 y) (*.f64 (neg.f64 z) y))))) (#(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 (neg.f64 z) y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 y) (sqrt.f64 y) (*.f64 y (neg.f64 z))))))) |
((#(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 0 (*.f64 (-.f64 1 z) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (-.f64 1 z))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (-.f64 1 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (-.f64 1 z)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (-.f64 1 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 1 z) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 z 3)) x) (fma.f64 z (+.f64 1 z) 1))))) (#(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))) (fma.f64 z (+.f64 1 z) 1))))) (#(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 (E.f64) (log.f64 (*.f64 (-.f64 1 z) x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (-.f64 1 z) x) 2) 1/2)))) (#(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 pow.f64 (pow.f64 (*.f64 (-.f64 1 z) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (-.f64 1 z) x))) 2)) (cbrt.f64 (log.f64 (*.f64 (-.f64 1 z) x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 (-.f64 1 z) x)))) (sqrt.f64 (log.f64 (*.f64 (-.f64 1 z) x))))))) (#(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 log.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 1 z) x))))))) (#(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)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (-.f64 1 z) x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (-.f64 1 z) x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (-.f64 1 z) x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 (-.f64 1 z) x))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (-.f64 1 z) x)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (-.f64 1 z) x)) 3) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (*.f64 (neg.f64 z) x))))) (#(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 x 1 (*.f64 (neg.f64 z) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 1 (*.f64 x (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (*.f64 (neg.f64 z) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (*.f64 x (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 (neg.f64 z) x))))) (#(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 (neg.f64 z) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 x (neg.f64 z))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 1 z) (+.f64 y x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (*.f64 (-.f64 1 z) y) 2) (*.f64 (-.f64 1 z) (-.f64 y x))) (/.f64 (pow.f64 (*.f64 (-.f64 1 z) x) 2) (*.f64 (-.f64 1 z) (-.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (-.f64 1 z) (+.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 z) (+.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 1 z) (+.f64 y x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (-.f64 1 z) (+.f64 y x))) (pow.f64 (cbrt.f64 (*.f64 (-.f64 1 z) (+.f64 y x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1 z) (+.f64 y x))) 2) (cbrt.f64 (*.f64 (-.f64 1 z) (+.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 1 z)) 2) (*.f64 (cbrt.f64 (-.f64 1 z)) (+.f64 y x)))))) (#(struct:change #<rule 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egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 (-.f64 1 z) (-.f64 y x)) (*.f64 (*.f64 (-.f64 1 z) (+.f64 y x)) (*.f64 (-.f64 1 z) (-.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 (-.f64 1 z) y) 3) (pow.f64 (*.f64 (-.f64 1 z) x) 3)) (fma.f64 (*.f64 (-.f64 1 z) x) (-.f64 (*.f64 (-.f64 1 z) x) (*.f64 (-.f64 1 z) y)) (pow.f64 (*.f64 (-.f64 1 z) y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 (-.f64 1 z) y) 3) (pow.f64 (*.f64 (-.f64 1 z) x) 3)) (+.f64 (pow.f64 (*.f64 (-.f64 1 z) x) 2) (-.f64 (pow.f64 (*.f64 (-.f64 1 z) y) 2) (*.f64 (-.f64 1 z) (*.f64 y (*.f64 (-.f64 1 z) x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (-.f64 1 z) (+.f64 y x)) (*.f64 (-.f64 1 z) (-.f64 y x))) (*.f64 (-.f64 1 z) (-.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (-.f64 1 z) y) 3) (pow.f64 (*.f64 (-.f64 1 z) x) 3))) (neg.f64 (fma.f64 (*.f64 (-.f64 1 z) x) (-.f64 (*.f64 (-.f64 1 z) x) (*.f64 (-.f64 1 z) y)) (pow.f64 (*.f64 (-.f64 1 z) y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (*.f64 (-.f64 1 z) (+.f64 y x)) (*.f64 (-.f64 1 z) (-.f64 y x)))) (neg.f64 (*.f64 (-.f64 1 z) (-.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 (-.f64 1 z) x) 2) (pow.f64 (*.f64 (-.f64 1 z) y) 2)) (-.f64 (*.f64 (-.f64 1 z) x) (*.f64 (-.f64 1 z) y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 z 3)) (+.f64 y x)) (fma.f64 z (+.f64 1 z) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (*.f64 z z)) (+.f64 y x)) (+.f64 1 z))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (-.f64 1 z) (+.f64 y x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (*.f64 (-.f64 1 z) (+.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (-.f64 1 z) (+.f64 y x)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (-.f64 1 z) (+.f64 y x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (-.f64 1 z) (+.f64 y x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (-.f64 1 z) (+.f64 y x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 (*.f64 (-.f64 1 z) x) (-.f64 (*.f64 (-.f64 1 z) x) (*.f64 (-.f64 1 z) y)) (pow.f64 (*.f64 (-.f64 1 z) y) 2)) (+.f64 (pow.f64 (*.f64 (-.f64 1 z) y) 3) (pow.f64 (*.f64 (-.f64 1 z) x) 3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 (-.f64 1 z) (-.f64 y x)) (*.f64 (*.f64 (-.f64 1 z) (+.f64 y x)) (*.f64 (-.f64 1 z) (-.f64 y x)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (-.f64 1 z) (+.f64 y x)))) 2)) (cbrt.f64 (log.f64 (*.f64 (-.f64 1 z) (+.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 (-.f64 1 z) (+.f64 y x))))) (sqrt.f64 (log.f64 (*.f64 (-.f64 1 z) (+.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (-.f64 1 z) (+.f64 y x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (-.f64 1 z)) (+.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 1 z) (+.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 1 z) y))) (pow.f64 (exp.f64 x) (-.f64 1 z))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (exp.f64 (-.f64 1 z)) y) (+.f64 1 (expm1.f64 (*.f64 (-.f64 1 z) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 1 z) y))) (+.f64 1 (expm1.f64 (*.f64 (-.f64 1 z) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 1 z) x))) (pow.f64 (exp.f64 (-.f64 1 z)) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (exp.f64 x) (-.f64 1 z)) (+.f64 1 (expm1.f64 (*.f64 (-.f64 1 z) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 1 z) x))) (+.f64 1 (expm1.f64 (*.f64 (-.f64 1 z) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (-.f64 1 z) (+.f64 y x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (-.f64 1 z) (+.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (-.f64 1 z) (+.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (-.f64 1 z) (+.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (-.f64 1 z) (+.f64 y x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 (-.f64 1 z) (+.f64 y x)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (-.f64 1 z) (+.f64 y x)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (-.f64 1 z) (+.f64 y x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (-.f64 1 z) (+.f64 y x))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 (-.f64 1 z) y) (*.f64 (-.f64 1 z) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 (-.f64 1 z) x) (*.f64 (-.f64 1 z) y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 1 z) y (*.f64 (-.f64 1 z) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 1 z) x (*.f64 (-.f64 1 z) y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y (-.f64 1 z) (*.f64 (-.f64 1 z) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (-.f64 1 z) y) 1 (*.f64 (-.f64 1 z) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (-.f64 1 z) (*.f64 (-.f64 1 z) y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (-.f64 1 z) x) 1 (*.f64 (-.f64 1 z) y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (-.f64 1 z) x)) (pow.f64 (cbrt.f64 (*.f64 (-.f64 1 z) x)) 2) (*.f64 (-.f64 1 z) y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1 z) x)) 2) (cbrt.f64 (*.f64 (-.f64 1 z) x)) (*.f64 (-.f64 1 z) y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) (-.f64 1 z)) (*.f64 (-.f64 1 z) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (-.f64 1 z) y)) (pow.f64 (cbrt.f64 (*.f64 (-.f64 1 z) y)) 2) (*.f64 (-.f64 1 z) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1 z) y)) 2) (cbrt.f64 (*.f64 (-.f64 1 z) y)) (*.f64 (-.f64 1 z) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (-.f64 1 z)) (*.f64 (-.f64 1 z) y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (-.f64 1 z)) 2) (*.f64 (cbrt.f64 (-.f64 1 z)) x) (*.f64 (-.f64 1 z) y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (-.f64 1 z)) 2) (*.f64 (cbrt.f64 (-.f64 1 z)) y) (*.f64 (-.f64 1 z) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 (-.f64 1 z) x)) (sqrt.f64 (*.f64 (-.f64 1 z) x)) (*.f64 (-.f64 1 z) y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (-.f64 1 z)) (*.f64 (-.f64 1 z) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 (-.f64 1 z) y)) (sqrt.f64 (*.f64 (-.f64 1 z) y)) (*.f64 (-.f64 1 z) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (-.f64 1 z)) (*.f64 (-.f64 1 z) y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (-.f64 1 z)) (*.f64 (sqrt.f64 (-.f64 1 z)) x) (*.f64 (-.f64 1 z) y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (-.f64 1 z)) (*.f64 (sqrt.f64 (-.f64 1 z)) y) (*.f64 (-.f64 1 z) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (-.f64 1 z) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.f64 (-.f64 1 z) y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (-.f64 1 z) (sqrt.f64 x)) (sqrt.f64 x) (*.f64 (-.f64 1 z) y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (pow.f64 (cbrt.f64 (-.f64 1 z)) 2)) (cbrt.f64 (-.f64 1 z)) (*.f64 (-.f64 1 z) y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (sqrt.f64 (-.f64 1 z))) (sqrt.f64 (-.f64 1 z)) (*.f64 (-.f64 1 z) y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (-.f64 1 z) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) (*.f64 (-.f64 1 z) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (-.f64 1 z) (sqrt.f64 y)) (sqrt.f64 y) (*.f64 (-.f64 1 z) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y (pow.f64 (cbrt.f64 (-.f64 1 z)) 2)) (cbrt.f64 (-.f64 1 z)) (*.f64 (-.f64 1 z) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y (sqrt.f64 (-.f64 1 z))) (sqrt.f64 (-.f64 1 z)) (*.f64 (-.f64 1 z) x)))))) |
| 1× | egg-herbie |
| 831× | fma-def_binary64 |
| 729× | fma-neg_binary64 |
| 112× | sub-neg_binary64 |
| 107× | distribute-rgt-in_binary64 |
| 99× | cancel-sign-sub-inv_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 29 | 714 |
| 1 | 73 | 651 |
| 2 | 133 | 570 |
| 3 | 264 | 570 |
| 4 | 718 | 570 |
| 5 | 1539 | 570 |
| 6 | 2569 | 570 |
| 7 | 2857 | 570 |
| 8 | 2880 | 570 |
| 9 | 2880 | 570 |
| 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))) |
(*.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 y (-.f64 1 z)) |
(*.f64 y (-.f64 1 z)) |
(*.f64 y (-.f64 1 z)) |
(*.f64 y (-.f64 1 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) |
(*.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 y x) |
(+.f64 y (+.f64 (*.f64 (+.f64 (*.f64 -1 x) (*.f64 -1 y)) z) x)) |
(+.f64 y (+.f64 (*.f64 (+.f64 (*.f64 -1 x) (*.f64 -1 y)) z) x)) |
(+.f64 y (+.f64 (*.f64 (+.f64 (*.f64 -1 x) (*.f64 -1 y)) z) x)) |
(*.f64 (+.f64 (*.f64 -1 x) (*.f64 -1 y)) z) |
(+.f64 y (+.f64 (*.f64 (+.f64 (*.f64 -1 x) (*.f64 -1 y)) z) x)) |
(+.f64 y (+.f64 (*.f64 (+.f64 (*.f64 -1 x) (*.f64 -1 y)) z) x)) |
(+.f64 y (+.f64 (*.f64 (+.f64 (*.f64 -1 x) (*.f64 -1 y)) 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)) |
(*.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 (-.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)) |
| Outputs |
|---|
y |
(+.f64 (*.f64 -1 (*.f64 y z)) y) |
(fma.f64 -1 (*.f64 y z) y) |
(fma.f64 (neg.f64 y) z y) |
(-.f64 y (*.f64 y z)) |
(+.f64 (*.f64 -1 (*.f64 y z)) y) |
(fma.f64 -1 (*.f64 y z) y) |
(fma.f64 (neg.f64 y) z y) |
(-.f64 y (*.f64 y z)) |
(+.f64 (*.f64 -1 (*.f64 y z)) y) |
(fma.f64 -1 (*.f64 y z) y) |
(fma.f64 (neg.f64 y) z y) |
(-.f64 y (*.f64 y z)) |
(*.f64 -1 (*.f64 y z)) |
(*.f64 (neg.f64 y) z) |
(*.f64 y (neg.f64 z)) |
(*.f64 z (neg.f64 y)) |
(+.f64 y (*.f64 -1 (*.f64 y z))) |
(fma.f64 -1 (*.f64 y z) y) |
(fma.f64 (neg.f64 y) z y) |
(-.f64 y (*.f64 y z)) |
(+.f64 y (*.f64 -1 (*.f64 y z))) |
(fma.f64 -1 (*.f64 y z) y) |
(fma.f64 (neg.f64 y) z y) |
(-.f64 y (*.f64 y z)) |
(+.f64 y (*.f64 -1 (*.f64 y z))) |
(fma.f64 -1 (*.f64 y z) y) |
(fma.f64 (neg.f64 y) z y) |
(-.f64 y (*.f64 y z)) |
(*.f64 -1 (*.f64 y z)) |
(*.f64 (neg.f64 y) z) |
(*.f64 y (neg.f64 z)) |
(*.f64 z (neg.f64 y)) |
(+.f64 y (*.f64 -1 (*.f64 y z))) |
(fma.f64 -1 (*.f64 y z) y) |
(fma.f64 (neg.f64 y) z y) |
(-.f64 y (*.f64 y z)) |
(+.f64 y (*.f64 -1 (*.f64 y z))) |
(fma.f64 -1 (*.f64 y z) y) |
(fma.f64 (neg.f64 y) z y) |
(-.f64 y (*.f64 y z)) |
(+.f64 y (*.f64 -1 (*.f64 y z))) |
(fma.f64 -1 (*.f64 y z) y) |
(fma.f64 (neg.f64 y) z y) |
(-.f64 y (*.f64 y z)) |
(*.f64 y (-.f64 1 z)) |
(fma.f64 -1 (*.f64 y z) y) |
(fma.f64 (neg.f64 y) z y) |
(-.f64 y (*.f64 y z)) |
(*.f64 y (-.f64 1 z)) |
(fma.f64 -1 (*.f64 y z) y) |
(fma.f64 (neg.f64 y) z y) |
(-.f64 y (*.f64 y z)) |
(*.f64 y (-.f64 1 z)) |
(fma.f64 -1 (*.f64 y z) y) |
(fma.f64 (neg.f64 y) z y) |
(-.f64 y (*.f64 y z)) |
(*.f64 y (-.f64 1 z)) |
(fma.f64 -1 (*.f64 y z) y) |
(fma.f64 (neg.f64 y) z y) |
(-.f64 y (*.f64 y z)) |
(*.f64 y (-.f64 1 z)) |
(fma.f64 -1 (*.f64 y z) y) |
(fma.f64 (neg.f64 y) z y) |
(-.f64 y (*.f64 y z)) |
(*.f64 y (-.f64 1 z)) |
(fma.f64 -1 (*.f64 y z) y) |
(fma.f64 (neg.f64 y) z y) |
(-.f64 y (*.f64 y z)) |
(*.f64 y (-.f64 1 z)) |
(fma.f64 -1 (*.f64 y z) y) |
(fma.f64 (neg.f64 y) z y) |
(-.f64 y (*.f64 y z)) |
(*.f64 y (-.f64 1 z)) |
(fma.f64 -1 (*.f64 y z) y) |
(fma.f64 (neg.f64 y) z y) |
(-.f64 y (*.f64 y z)) |
(*.f64 y (-.f64 1 z)) |
(fma.f64 -1 (*.f64 y z) y) |
(fma.f64 (neg.f64 y) z y) |
(-.f64 y (*.f64 y z)) |
(*.f64 y (-.f64 1 z)) |
(fma.f64 -1 (*.f64 y z) y) |
(fma.f64 (neg.f64 y) z y) |
(-.f64 y (*.f64 y z)) |
(*.f64 y (-.f64 1 z)) |
(fma.f64 -1 (*.f64 y z) y) |
(fma.f64 (neg.f64 y) z y) |
(-.f64 y (*.f64 y z)) |
(*.f64 y (-.f64 1 z)) |
(fma.f64 -1 (*.f64 y z) y) |
(fma.f64 (neg.f64 y) z y) |
(-.f64 y (*.f64 y z)) |
x |
(+.f64 (*.f64 -1 (*.f64 z x)) x) |
(fma.f64 -1 (*.f64 z x) x) |
(fma.f64 (neg.f64 z) x x) |
(-.f64 x (*.f64 z x)) |
(+.f64 (*.f64 -1 (*.f64 z x)) x) |
(fma.f64 -1 (*.f64 z x) x) |
(fma.f64 (neg.f64 z) x x) |
(-.f64 x (*.f64 z x)) |
(+.f64 (*.f64 -1 (*.f64 z x)) x) |
(fma.f64 -1 (*.f64 z x) x) |
(fma.f64 (neg.f64 z) x x) |
(-.f64 x (*.f64 z x)) |
(*.f64 -1 (*.f64 z x)) |
(neg.f64 (*.f64 z x)) |
(*.f64 z (neg.f64 x)) |
(*.f64 x (neg.f64 z)) |
(+.f64 (*.f64 -1 (*.f64 z x)) x) |
(fma.f64 -1 (*.f64 z x) x) |
(fma.f64 (neg.f64 z) x x) |
(-.f64 x (*.f64 z x)) |
(+.f64 (*.f64 -1 (*.f64 z x)) x) |
(fma.f64 -1 (*.f64 z x) x) |
(fma.f64 (neg.f64 z) x x) |
(-.f64 x (*.f64 z x)) |
(+.f64 (*.f64 -1 (*.f64 z x)) x) |
(fma.f64 -1 (*.f64 z x) x) |
(fma.f64 (neg.f64 z) x x) |
(-.f64 x (*.f64 z x)) |
(*.f64 -1 (*.f64 z x)) |
(neg.f64 (*.f64 z x)) |
(*.f64 z (neg.f64 x)) |
(*.f64 x (neg.f64 z)) |
(+.f64 (*.f64 -1 (*.f64 z x)) x) |
(fma.f64 -1 (*.f64 z x) x) |
(fma.f64 (neg.f64 z) x x) |
(-.f64 x (*.f64 z x)) |
(+.f64 (*.f64 -1 (*.f64 z x)) x) |
(fma.f64 -1 (*.f64 z x) x) |
(fma.f64 (neg.f64 z) x x) |
(-.f64 x (*.f64 z x)) |
(+.f64 (*.f64 -1 (*.f64 z x)) x) |
(fma.f64 -1 (*.f64 z x) x) |
(fma.f64 (neg.f64 z) x x) |
(-.f64 x (*.f64 z x)) |
(+.f64 y x) |
(+.f64 y (+.f64 (*.f64 (+.f64 (*.f64 -1 x) (*.f64 -1 y)) z) x)) |
(+.f64 y (fma.f64 -1 (*.f64 z (+.f64 y x)) x)) |
(+.f64 y (-.f64 x (*.f64 z (+.f64 y x)))) |
(*.f64 (-.f64 1 z) (+.f64 y x)) |
(+.f64 y (+.f64 (*.f64 (+.f64 (*.f64 -1 x) (*.f64 -1 y)) z) x)) |
(+.f64 y (fma.f64 -1 (*.f64 z (+.f64 y x)) x)) |
(+.f64 y (-.f64 x (*.f64 z (+.f64 y x)))) |
(*.f64 (-.f64 1 z) (+.f64 y x)) |
(+.f64 y (+.f64 (*.f64 (+.f64 (*.f64 -1 x) (*.f64 -1 y)) z) x)) |
(+.f64 y (fma.f64 -1 (*.f64 z (+.f64 y x)) x)) |
(+.f64 y (-.f64 x (*.f64 z (+.f64 y x)))) |
(*.f64 (-.f64 1 z) (+.f64 y x)) |
(*.f64 (+.f64 (*.f64 -1 x) (*.f64 -1 y)) z) |
(neg.f64 (*.f64 z (+.f64 y x))) |
(*.f64 z (-.f64 (neg.f64 y) x)) |
(+.f64 y (+.f64 (*.f64 (+.f64 (*.f64 -1 x) (*.f64 -1 y)) z) x)) |
(+.f64 y (fma.f64 -1 (*.f64 z (+.f64 y x)) x)) |
(+.f64 y (-.f64 x (*.f64 z (+.f64 y x)))) |
(*.f64 (-.f64 1 z) (+.f64 y x)) |
(+.f64 y (+.f64 (*.f64 (+.f64 (*.f64 -1 x) (*.f64 -1 y)) z) x)) |
(+.f64 y (fma.f64 -1 (*.f64 z (+.f64 y x)) x)) |
(+.f64 y (-.f64 x (*.f64 z (+.f64 y x)))) |
(*.f64 (-.f64 1 z) (+.f64 y x)) |
(+.f64 y (+.f64 (*.f64 (+.f64 (*.f64 -1 x) (*.f64 -1 y)) z) x)) |
(+.f64 y (fma.f64 -1 (*.f64 z (+.f64 y x)) x)) |
(+.f64 y (-.f64 x (*.f64 z (+.f64 y x)))) |
(*.f64 (-.f64 1 z) (+.f64 y x)) |
(*.f64 -1 (*.f64 (+.f64 y x) z)) |
(neg.f64 (*.f64 z (+.f64 y x))) |
(*.f64 z (-.f64 (neg.f64 y) x)) |
(+.f64 y (+.f64 (*.f64 -1 (*.f64 (+.f64 y x) z)) x)) |
(+.f64 y (fma.f64 -1 (*.f64 z (+.f64 y x)) x)) |
(+.f64 y (-.f64 x (*.f64 z (+.f64 y x)))) |
(*.f64 (-.f64 1 z) (+.f64 y x)) |
(+.f64 y (+.f64 (*.f64 -1 (*.f64 (+.f64 y x) z)) x)) |
(+.f64 y (fma.f64 -1 (*.f64 z (+.f64 y x)) x)) |
(+.f64 y (-.f64 x (*.f64 z (+.f64 y x)))) |
(*.f64 (-.f64 1 z) (+.f64 y x)) |
(+.f64 y (+.f64 (*.f64 -1 (*.f64 (+.f64 y x) z)) x)) |
(+.f64 y (fma.f64 -1 (*.f64 z (+.f64 y x)) x)) |
(+.f64 y (-.f64 x (*.f64 z (+.f64 y x)))) |
(*.f64 (-.f64 1 z) (+.f64 y x)) |
(*.f64 (-.f64 1 z) x) |
(fma.f64 -1 (*.f64 z x) x) |
(fma.f64 (neg.f64 z) x x) |
(-.f64 x (*.f64 z x)) |
(+.f64 (*.f64 y (-.f64 1 z)) (*.f64 (-.f64 1 z) x)) |
(+.f64 y (fma.f64 -1 (*.f64 z (+.f64 y x)) x)) |
(+.f64 y (-.f64 x (*.f64 z (+.f64 y x)))) |
(*.f64 (-.f64 1 z) (+.f64 y x)) |
(+.f64 (*.f64 y (-.f64 1 z)) (*.f64 (-.f64 1 z) x)) |
(+.f64 y (fma.f64 -1 (*.f64 z (+.f64 y x)) x)) |
(+.f64 y (-.f64 x (*.f64 z (+.f64 y x)))) |
(*.f64 (-.f64 1 z) (+.f64 y x)) |
(+.f64 (*.f64 y (-.f64 1 z)) (*.f64 (-.f64 1 z) x)) |
(+.f64 y (fma.f64 -1 (*.f64 z (+.f64 y x)) x)) |
(+.f64 y (-.f64 x (*.f64 z (+.f64 y x)))) |
(*.f64 (-.f64 1 z) (+.f64 y x)) |
(*.f64 y (-.f64 1 z)) |
(fma.f64 -1 (*.f64 y z) y) |
(fma.f64 (neg.f64 y) z y) |
(-.f64 y (*.f64 y z)) |
(+.f64 (*.f64 (-.f64 1 z) x) (*.f64 y (-.f64 1 z))) |
(+.f64 y (fma.f64 -1 (*.f64 z (+.f64 y x)) x)) |
(+.f64 y (-.f64 x (*.f64 z (+.f64 y x)))) |
(*.f64 (-.f64 1 z) (+.f64 y x)) |
(+.f64 (*.f64 (-.f64 1 z) x) (*.f64 y (-.f64 1 z))) |
(+.f64 y (fma.f64 -1 (*.f64 z (+.f64 y x)) x)) |
(+.f64 y (-.f64 x (*.f64 z (+.f64 y x)))) |
(*.f64 (-.f64 1 z) (+.f64 y x)) |
(+.f64 (*.f64 (-.f64 1 z) x) (*.f64 y (-.f64 1 z))) |
(+.f64 y (fma.f64 -1 (*.f64 z (+.f64 y x)) x)) |
(+.f64 y (-.f64 x (*.f64 z (+.f64 y x)))) |
(*.f64 (-.f64 1 z) (+.f64 y x)) |
(*.f64 y (-.f64 1 z)) |
(fma.f64 -1 (*.f64 y z) y) |
(fma.f64 (neg.f64 y) z y) |
(-.f64 y (*.f64 y z)) |
(+.f64 (*.f64 (-.f64 1 z) x) (*.f64 y (-.f64 1 z))) |
(+.f64 y (fma.f64 -1 (*.f64 z (+.f64 y x)) x)) |
(+.f64 y (-.f64 x (*.f64 z (+.f64 y x)))) |
(*.f64 (-.f64 1 z) (+.f64 y x)) |
(+.f64 (*.f64 (-.f64 1 z) x) (*.f64 y (-.f64 1 z))) |
(+.f64 y (fma.f64 -1 (*.f64 z (+.f64 y x)) x)) |
(+.f64 y (-.f64 x (*.f64 z (+.f64 y x)))) |
(*.f64 (-.f64 1 z) (+.f64 y x)) |
(+.f64 (*.f64 (-.f64 1 z) x) (*.f64 y (-.f64 1 z))) |
(+.f64 y (fma.f64 -1 (*.f64 z (+.f64 y x)) x)) |
(+.f64 y (-.f64 x (*.f64 z (+.f64 y x)))) |
(*.f64 (-.f64 1 z) (+.f64 y x)) |
(*.f64 y (-.f64 1 z)) |
(fma.f64 -1 (*.f64 y z) y) |
(fma.f64 (neg.f64 y) z y) |
(-.f64 y (*.f64 y z)) |
(+.f64 (*.f64 (-.f64 1 z) x) (*.f64 y (-.f64 1 z))) |
(+.f64 y (fma.f64 -1 (*.f64 z (+.f64 y x)) x)) |
(+.f64 y (-.f64 x (*.f64 z (+.f64 y x)))) |
(*.f64 (-.f64 1 z) (+.f64 y x)) |
(+.f64 (*.f64 (-.f64 1 z) x) (*.f64 y (-.f64 1 z))) |
(+.f64 y (fma.f64 -1 (*.f64 z (+.f64 y x)) x)) |
(+.f64 y (-.f64 x (*.f64 z (+.f64 y x)))) |
(*.f64 (-.f64 1 z) (+.f64 y x)) |
(+.f64 (*.f64 (-.f64 1 z) x) (*.f64 y (-.f64 1 z))) |
(+.f64 y (fma.f64 -1 (*.f64 z (+.f64 y x)) x)) |
(+.f64 y (-.f64 x (*.f64 z (+.f64 y x)))) |
(*.f64 (-.f64 1 z) (+.f64 y x)) |
(*.f64 (-.f64 1 z) x) |
(fma.f64 -1 (*.f64 z x) x) |
(fma.f64 (neg.f64 z) x x) |
(-.f64 x (*.f64 z x)) |
(+.f64 (*.f64 y (-.f64 1 z)) (*.f64 (-.f64 1 z) x)) |
(+.f64 y (fma.f64 -1 (*.f64 z (+.f64 y x)) x)) |
(+.f64 y (-.f64 x (*.f64 z (+.f64 y x)))) |
(*.f64 (-.f64 1 z) (+.f64 y x)) |
(+.f64 (*.f64 y (-.f64 1 z)) (*.f64 (-.f64 1 z) x)) |
(+.f64 y (fma.f64 -1 (*.f64 z (+.f64 y x)) x)) |
(+.f64 y (-.f64 x (*.f64 z (+.f64 y x)))) |
(*.f64 (-.f64 1 z) (+.f64 y x)) |
(+.f64 (*.f64 y (-.f64 1 z)) (*.f64 (-.f64 1 z) x)) |
(+.f64 y (fma.f64 -1 (*.f64 z (+.f64 y x)) x)) |
(+.f64 y (-.f64 x (*.f64 z (+.f64 y x)))) |
(*.f64 (-.f64 1 z) (+.f64 y x)) |
(*.f64 (-.f64 1 z) x) |
(fma.f64 -1 (*.f64 z x) x) |
(fma.f64 (neg.f64 z) x x) |
(-.f64 x (*.f64 z x)) |
(+.f64 (*.f64 y (-.f64 1 z)) (*.f64 (-.f64 1 z) x)) |
(+.f64 y (fma.f64 -1 (*.f64 z (+.f64 y x)) x)) |
(+.f64 y (-.f64 x (*.f64 z (+.f64 y x)))) |
(*.f64 (-.f64 1 z) (+.f64 y x)) |
(+.f64 (*.f64 y (-.f64 1 z)) (*.f64 (-.f64 1 z) x)) |
(+.f64 y (fma.f64 -1 (*.f64 z (+.f64 y x)) x)) |
(+.f64 y (-.f64 x (*.f64 z (+.f64 y x)))) |
(*.f64 (-.f64 1 z) (+.f64 y x)) |
(+.f64 (*.f64 y (-.f64 1 z)) (*.f64 (-.f64 1 z) x)) |
(+.f64 y (fma.f64 -1 (*.f64 z (+.f64 y x)) x)) |
(+.f64 y (-.f64 x (*.f64 z (+.f64 y x)))) |
(*.f64 (-.f64 1 z) (+.f64 y x)) |
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)) |
| 0.0ms | z | @ | inf | (*.f64 y (-.f64 1 z)) |
| 0.0ms | 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)) |
Compiled 13 to 5 computations (61.5% saved)
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)) |
| 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)) |
| 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 3585 to 2079 computations (42% saved)
9 alts after pruning (4 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 248 | 4 | 252 |
| Fresh | 1 | 0 | 1 |
| Picked | 0 | 1 | 1 |
| Done | 1 | 4 | 5 |
| Total | 250 | 9 | 259 |
| Status | Error | Program |
|---|---|---|
| ✓ | 34.3b | (-.f64 x (*.f64 z x)) |
| ✓ | 0.0b | (*.f64 (+.f64 x y) (-.f64 1 z)) |
| ▶ | 20.6b | (+.f64 (*.f64 (-.f64 1 z) y) (*.f64 x (neg.f64 z))) |
| 39.7b | y | |
| ▶ | 43.2b | (*.f64 z (-.f64 (neg.f64 y) x)) |
| ✓ | 20.0b | (+.f64 y x) |
| ▶ | 52.5b | (*.f64 y (neg.f64 z)) |
| ✓ | 29.9b | (-.f64 y (*.f64 y z)) |
| ✓ | 29.9b | (*.f64 y (-.f64 1 z)) |
Compiled 73 to 50 computations (31.5% 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 | |
|---|---|---|---|---|
| 2.0ms | y | @ | 0 | (*.f64 z (-.f64 (neg.f64 y) x)) |
| 1.0ms | y | @ | -inf | (*.f64 z (-.f64 (neg.f64 y) x)) |
| 1.0ms | z | @ | 0 | (*.f64 z (-.f64 (neg.f64 y) x)) |
| 1.0ms | z | @ | inf | (*.f64 z (-.f64 (neg.f64 y) x)) |
| 0.0ms | 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)) |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 (*.f64 (-.f64 1 z) y) (*.f64 x (neg.f64 z))) |
| 0.0b | (*.f64 (-.f64 1 z) y) |
Compiled 31 to 15 computations (51.6% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | z | @ | 0 | (+.f64 (*.f64 (-.f64 1 z) y) (*.f64 x (neg.f64 z))) |
| 1.0ms | z | @ | inf | (+.f64 (*.f64 (-.f64 1 z) y) (*.f64 x (neg.f64 z))) |
| 1.0ms | y | @ | 0 | (+.f64 (*.f64 (-.f64 1 z) y) (*.f64 x (neg.f64 z))) |
| 0.0ms | x | @ | 0 | (+.f64 (*.f64 (-.f64 1 z) y) (*.f64 x (neg.f64 z))) |
| 0.0ms | x | @ | inf | (+.f64 (*.f64 (-.f64 1 z) y) (*.f64 x (neg.f64 z))) |
| 1× | batch-egg-rewrite |
| 472× | log-prod_binary64 |
| 350× | exp-prod_binary64 |
| 346× | pow-prod-down_binary64 |
| 277× | fma-def_binary64 |
| 246× | pow2_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 13 |
| 1 | 215 | 11 |
| 2 | 3060 | 11 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 (*.f64 (-.f64 1 z) y) (*.f64 x (neg.f64 z))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 y (*.f64 z y)) (*.f64 x z))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (+.f64 1 z) y (*.f64 x z)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (+.f64 y (*.f64 z y)) 2) (fma.f64 (+.f64 1 z) y (*.f64 x z))) (/.f64 (pow.f64 (*.f64 x z) 2) (fma.f64 (+.f64 1 z) y (*.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (+.f64 1 z) y (*.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 (+.f64 1 z) y (*.f64 x z)) 2) (/.f64 1 (fma.f64 (+.f64 1 z) y (*.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (+.f64 1 z) y (*.f64 x z))) (pow.f64 (cbrt.f64 (fma.f64 (+.f64 1 z) y (*.f64 x z))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 (+.f64 1 z) y (*.f64 x z))) 2) (cbrt.f64 (fma.f64 (+.f64 1 z) y (*.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 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(exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 (+.f64 1 z) y (*.f64 x z)))) 2)) (cbrt.f64 (log.f64 (fma.f64 (+.f64 1 z) y (*.f64 x z)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 (+.f64 1 z) y (*.f64 x z))))) (sqrt.f64 (log.f64 (fma.f64 (+.f64 1 z) y (*.f64 x z)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (+.f64 1 z) y (*.f64 x z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 (+.f64 1 z) y (*.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 (+.f64 1 z) y (*.f64 x z)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (+.f64 1 (expm1.f64 (+.f64 y (*.f64 z y)))) (pow.f64 (exp.f64 z) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (pow.f64 (exp.f64 y) (+.f64 1 z)) (+.f64 1 (expm1.f64 (*.f64 x z)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (+.f64 1 (expm1.f64 (+.f64 y (*.f64 z y)))) (+.f64 1 (expm1.f64 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(#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (+.f64 1 z) y (*.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (+.f64 1 z) y (*.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (+.f64 1 z) y (*.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 (+.f64 1 z) y (*.f64 x z))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 (+.f64 1 z) y (*.f64 x z)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 (+.f64 1 z) y (*.f64 x z)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 (+.f64 1 z) y (*.f64 x z)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 (+.f64 1 z) y (*.f64 x z))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 y (*.f64 z y)) (*.f64 x z))))) (#(struct:change #<rule 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| 1× | egg-herbie |
| 343× | fma-def_binary64 |
| 255× | fma-neg_binary64 |
| 47× | sub-neg_binary64 |
| 45× | cancel-sign-sub-inv_binary64 |
| 44× | distribute-rgt-in_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 20 | 382 |
| 1 | 48 | 328 |
| 2 | 100 | 328 |
| 3 | 209 | 328 |
| 4 | 384 | 328 |
| 5 | 677 | 328 |
| 6 | 1058 | 328 |
| 7 | 1251 | 328 |
| 8 | 1277 | 328 |
| 9 | 1286 | 328 |
| 1× | saturated |
| Inputs |
|---|
y |
(+.f64 y (*.f64 (+.f64 (*.f64 -1 x) (*.f64 -1 y)) z)) |
(+.f64 y (*.f64 (+.f64 (*.f64 -1 x) (*.f64 -1 y)) z)) |
(+.f64 y (*.f64 (+.f64 (*.f64 -1 x) (*.f64 -1 y)) z)) |
(*.f64 (+.f64 (*.f64 -1 x) (*.f64 -1 y)) z) |
(+.f64 y (*.f64 (+.f64 (*.f64 -1 x) (*.f64 -1 y)) z)) |
(+.f64 y (*.f64 (+.f64 (*.f64 -1 x) (*.f64 -1 y)) z)) |
(+.f64 y (*.f64 (+.f64 (*.f64 -1 x) (*.f64 -1 y)) z)) |
(*.f64 -1 (*.f64 (+.f64 y x) z)) |
(+.f64 y (*.f64 -1 (*.f64 (+.f64 y x) z))) |
(+.f64 y (*.f64 -1 (*.f64 (+.f64 y x) z))) |
(+.f64 y (*.f64 -1 (*.f64 (+.f64 y x) z))) |
(*.f64 -1 (*.f64 z x)) |
(+.f64 (*.f64 -1 (*.f64 z x)) (*.f64 y (-.f64 1 z))) |
(+.f64 (*.f64 -1 (*.f64 z x)) (*.f64 y (-.f64 1 z))) |
(+.f64 (*.f64 -1 (*.f64 z x)) (*.f64 y (-.f64 1 z))) |
(*.f64 y (-.f64 1 z)) |
(+.f64 (*.f64 -1 (*.f64 z x)) (*.f64 y (-.f64 1 z))) |
(+.f64 (*.f64 -1 (*.f64 z x)) (*.f64 y (-.f64 1 z))) |
(+.f64 (*.f64 -1 (*.f64 z x)) (*.f64 y (-.f64 1 z))) |
(*.f64 y (-.f64 1 z)) |
(+.f64 (*.f64 -1 (*.f64 z x)) (*.f64 y (-.f64 1 z))) |
(+.f64 (*.f64 -1 (*.f64 z x)) (*.f64 y (-.f64 1 z))) |
(+.f64 (*.f64 -1 (*.f64 z x)) (*.f64 y (-.f64 1 z))) |
(*.f64 y (-.f64 1 z)) |
(+.f64 (*.f64 -1 (*.f64 z x)) (*.f64 y (-.f64 1 z))) |
(+.f64 (*.f64 -1 (*.f64 z x)) (*.f64 y (-.f64 1 z))) |
(+.f64 (*.f64 -1 (*.f64 z x)) (*.f64 y (-.f64 1 z))) |
(*.f64 -1 (*.f64 z x)) |
(+.f64 (*.f64 -1 (*.f64 z x)) (*.f64 y (-.f64 1 z))) |
(+.f64 (*.f64 -1 (*.f64 z x)) (*.f64 y (-.f64 1 z))) |
(+.f64 (*.f64 -1 (*.f64 z x)) (*.f64 y (-.f64 1 z))) |
(*.f64 -1 (*.f64 z x)) |
(+.f64 (*.f64 -1 (*.f64 z x)) (*.f64 y (-.f64 1 z))) |
(+.f64 (*.f64 -1 (*.f64 z x)) (*.f64 y (-.f64 1 z))) |
(+.f64 (*.f64 -1 (*.f64 z x)) (*.f64 y (-.f64 1 z))) |
| Outputs |
|---|
y |
(+.f64 y (*.f64 (+.f64 (*.f64 -1 x) (*.f64 -1 y)) z)) |
(+.f64 y (neg.f64 (*.f64 z (+.f64 y x)))) |
(-.f64 y (*.f64 z (+.f64 y x))) |
(+.f64 y (*.f64 (+.f64 (*.f64 -1 x) (*.f64 -1 y)) z)) |
(+.f64 y (neg.f64 (*.f64 z (+.f64 y x)))) |
(-.f64 y (*.f64 z (+.f64 y x))) |
(+.f64 y (*.f64 (+.f64 (*.f64 -1 x) (*.f64 -1 y)) z)) |
(+.f64 y (neg.f64 (*.f64 z (+.f64 y x)))) |
(-.f64 y (*.f64 z (+.f64 y x))) |
(*.f64 (+.f64 (*.f64 -1 x) (*.f64 -1 y)) z) |
(neg.f64 (*.f64 z (+.f64 y x))) |
(*.f64 (+.f64 y x) (neg.f64 z)) |
(*.f64 (-.f64 (neg.f64 x) y) z) |
(+.f64 y (*.f64 (+.f64 (*.f64 -1 x) (*.f64 -1 y)) z)) |
(+.f64 y (neg.f64 (*.f64 z (+.f64 y x)))) |
(-.f64 y (*.f64 z (+.f64 y x))) |
(+.f64 y (*.f64 (+.f64 (*.f64 -1 x) (*.f64 -1 y)) z)) |
(+.f64 y (neg.f64 (*.f64 z (+.f64 y x)))) |
(-.f64 y (*.f64 z (+.f64 y x))) |
(+.f64 y (*.f64 (+.f64 (*.f64 -1 x) (*.f64 -1 y)) z)) |
(+.f64 y (neg.f64 (*.f64 z (+.f64 y x)))) |
(-.f64 y (*.f64 z (+.f64 y x))) |
(*.f64 -1 (*.f64 (+.f64 y x) z)) |
(neg.f64 (*.f64 z (+.f64 y x))) |
(*.f64 (+.f64 y x) (neg.f64 z)) |
(*.f64 (-.f64 (neg.f64 x) y) z) |
(+.f64 y (*.f64 -1 (*.f64 (+.f64 y x) z))) |
(+.f64 y (neg.f64 (*.f64 z (+.f64 y x)))) |
(-.f64 y (*.f64 z (+.f64 y x))) |
(+.f64 y (*.f64 -1 (*.f64 (+.f64 y x) z))) |
(+.f64 y (neg.f64 (*.f64 z (+.f64 y x)))) |
(-.f64 y (*.f64 z (+.f64 y x))) |
(+.f64 y (*.f64 -1 (*.f64 (+.f64 y x) z))) |
(+.f64 y (neg.f64 (*.f64 z (+.f64 y x)))) |
(-.f64 y (*.f64 z (+.f64 y x))) |
(*.f64 -1 (*.f64 z x)) |
(neg.f64 (*.f64 x z)) |
(*.f64 x (neg.f64 z)) |
(+.f64 (*.f64 -1 (*.f64 z x)) (*.f64 y (-.f64 1 z))) |
(+.f64 y (neg.f64 (*.f64 z (+.f64 y x)))) |
(-.f64 y (*.f64 z (+.f64 y x))) |
(+.f64 (*.f64 -1 (*.f64 z x)) (*.f64 y (-.f64 1 z))) |
(+.f64 y (neg.f64 (*.f64 z (+.f64 y x)))) |
(-.f64 y (*.f64 z (+.f64 y x))) |
(+.f64 (*.f64 -1 (*.f64 z x)) (*.f64 y (-.f64 1 z))) |
(+.f64 y (neg.f64 (*.f64 z (+.f64 y x)))) |
(-.f64 y (*.f64 z (+.f64 y x))) |
(*.f64 y (-.f64 1 z)) |
(-.f64 y (*.f64 y z)) |
(+.f64 (*.f64 -1 (*.f64 z x)) (*.f64 y (-.f64 1 z))) |
(+.f64 y (neg.f64 (*.f64 z (+.f64 y x)))) |
(-.f64 y (*.f64 z (+.f64 y x))) |
(+.f64 (*.f64 -1 (*.f64 z x)) (*.f64 y (-.f64 1 z))) |
(+.f64 y (neg.f64 (*.f64 z (+.f64 y x)))) |
(-.f64 y (*.f64 z (+.f64 y x))) |
(+.f64 (*.f64 -1 (*.f64 z x)) (*.f64 y (-.f64 1 z))) |
(+.f64 y (neg.f64 (*.f64 z (+.f64 y x)))) |
(-.f64 y (*.f64 z (+.f64 y x))) |
(*.f64 y (-.f64 1 z)) |
(-.f64 y (*.f64 y z)) |
(+.f64 (*.f64 -1 (*.f64 z x)) (*.f64 y (-.f64 1 z))) |
(+.f64 y (neg.f64 (*.f64 z (+.f64 y x)))) |
(-.f64 y (*.f64 z (+.f64 y x))) |
(+.f64 (*.f64 -1 (*.f64 z x)) (*.f64 y (-.f64 1 z))) |
(+.f64 y (neg.f64 (*.f64 z (+.f64 y x)))) |
(-.f64 y (*.f64 z (+.f64 y x))) |
(+.f64 (*.f64 -1 (*.f64 z x)) (*.f64 y (-.f64 1 z))) |
(+.f64 y (neg.f64 (*.f64 z (+.f64 y x)))) |
(-.f64 y (*.f64 z (+.f64 y x))) |
(*.f64 y (-.f64 1 z)) |
(-.f64 y (*.f64 y z)) |
(+.f64 (*.f64 -1 (*.f64 z x)) (*.f64 y (-.f64 1 z))) |
(+.f64 y (neg.f64 (*.f64 z (+.f64 y x)))) |
(-.f64 y (*.f64 z (+.f64 y x))) |
(+.f64 (*.f64 -1 (*.f64 z x)) (*.f64 y (-.f64 1 z))) |
(+.f64 y (neg.f64 (*.f64 z (+.f64 y x)))) |
(-.f64 y (*.f64 z (+.f64 y x))) |
(+.f64 (*.f64 -1 (*.f64 z x)) (*.f64 y (-.f64 1 z))) |
(+.f64 y (neg.f64 (*.f64 z (+.f64 y x)))) |
(-.f64 y (*.f64 z (+.f64 y x))) |
(*.f64 -1 (*.f64 z x)) |
(neg.f64 (*.f64 x z)) |
(*.f64 x (neg.f64 z)) |
(+.f64 (*.f64 -1 (*.f64 z x)) (*.f64 y (-.f64 1 z))) |
(+.f64 y (neg.f64 (*.f64 z (+.f64 y x)))) |
(-.f64 y (*.f64 z (+.f64 y x))) |
(+.f64 (*.f64 -1 (*.f64 z x)) (*.f64 y (-.f64 1 z))) |
(+.f64 y (neg.f64 (*.f64 z (+.f64 y x)))) |
(-.f64 y (*.f64 z (+.f64 y x))) |
(+.f64 (*.f64 -1 (*.f64 z x)) (*.f64 y (-.f64 1 z))) |
(+.f64 y (neg.f64 (*.f64 z (+.f64 y x)))) |
(-.f64 y (*.f64 z (+.f64 y x))) |
(*.f64 -1 (*.f64 z x)) |
(neg.f64 (*.f64 x z)) |
(*.f64 x (neg.f64 z)) |
(+.f64 (*.f64 -1 (*.f64 z x)) (*.f64 y (-.f64 1 z))) |
(+.f64 y (neg.f64 (*.f64 z (+.f64 y x)))) |
(-.f64 y (*.f64 z (+.f64 y x))) |
(+.f64 (*.f64 -1 (*.f64 z x)) (*.f64 y (-.f64 1 z))) |
(+.f64 y (neg.f64 (*.f64 z (+.f64 y x)))) |
(-.f64 y (*.f64 z (+.f64 y x))) |
(+.f64 (*.f64 -1 (*.f64 z x)) (*.f64 y (-.f64 1 z))) |
(+.f64 y (neg.f64 (*.f64 z (+.f64 y x)))) |
(-.f64 y (*.f64 z (+.f64 y x))) |
Compiled 3667 to 1368 computations (62.7% saved)
10 alts after pruning (3 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 221 | 3 | 224 |
| Fresh | 1 | 0 | 1 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 7 | 7 |
| Total | 223 | 10 | 233 |
| Status | Error | Program |
|---|---|---|
| ✓ | 34.3b | (-.f64 x (*.f64 z x)) |
| ✓ | 0.0b | (*.f64 (+.f64 x y) (-.f64 1 z)) |
| ✓ | 52.5b | (*.f64 y (neg.f64 z)) |
| 39.7b | y | |
| ▶ | 43.2b | (+.f64 (*.f64 z (neg.f64 y)) (*.f64 x (neg.f64 z))) |
| ▶ | 53.7b | (*.f64 x (neg.f64 z)) |
| ✓ | 43.2b | (*.f64 z (-.f64 (neg.f64 y) x)) |
| ✓ | 20.0b | (+.f64 y x) |
| ✓ | 29.9b | (-.f64 y (*.f64 y z)) |
| ✓ | 29.9b | (*.f64 y (-.f64 1 z)) |
Compiled 79 to 54 computations (31.6% saved)
Compiled 11 to 5 computations (54.5% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 (*.f64 z (neg.f64 y)) (*.f64 x (neg.f64 z))) |
Compiled 27 to 8 computations (70.4% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | (+.f64 (*.f64 z (neg.f64 y)) (*.f64 x (neg.f64 z))) |
| 1.0ms | z | @ | 0 | (+.f64 (*.f64 z (neg.f64 y)) (*.f64 x (neg.f64 z))) |
| 1.0ms | z | @ | inf | (+.f64 (*.f64 z (neg.f64 y)) (*.f64 x (neg.f64 z))) |
| 1.0ms | x | @ | 0 | (+.f64 (*.f64 z (neg.f64 y)) (*.f64 x (neg.f64 z))) |
| 0.0ms | y | @ | 0 | (+.f64 (*.f64 z (neg.f64 y)) (*.f64 x (neg.f64 z))) |
| 1× | batch-egg-rewrite |
| 829× | pow1_binary64 |
| 767× | add-log-exp_binary64 |
| 766× | log1p-expm1-u_binary64 |
| 766× | expm1-log1p-u_binary64 |
| 750× | add-exp-log_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 12 |
| 1 | 197 | 8 |
| 2 | 2894 | 8 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 (*.f64 z (neg.f64 y)) (*.f64 x (neg.f64 z))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 z y) (*.f64 z x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 z x) (*.f64 z y))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 z y (*.f64 z x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (*.f64 z y) 2) (fma.f64 z y (*.f64 z x))) (/.f64 (pow.f64 (*.f64 z x) 2) (fma.f64 z y (*.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 z y (*.f64 z x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 z y (*.f64 z x)) 2) (/.f64 1 (fma.f64 z y (*.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 z y (*.f64 z x))) (pow.f64 (cbrt.f64 (fma.f64 z y (*.f64 z x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 z y (*.f64 z x))) 2) (cbrt.f64 (fma.f64 z y (*.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 z y (*.f64 z x))) (sqrt.f64 (fma.f64 z y (*.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (*.f64 z y) 3) (pow.f64 (*.f64 z x) 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 z y) 2) (*.f64 (*.f64 z x) (fma.f64 z y (*.f64 z x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 z y (*.f64 z x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (*.f64 z y)) (sqrt.f64 (*.f64 z x))) (-.f64 (sqrt.f64 (*.f64 z y)) (sqrt.f64 (*.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 z y) 2) (*.f64 (*.f64 z x) (fma.f64 z y (*.f64 z x)))) (+.f64 (pow.f64 (*.f64 z y) 3) (pow.f64 (*.f64 z x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 z y (*.f64 z x)) (pow.f64 (fma.f64 z y (*.f64 z x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (fma.f64 z y (*.f64 z x)) 2) (fma.f64 z y (*.f64 z x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 z y) 3) (pow.f64 (*.f64 z x) 3)) (+.f64 (pow.f64 (*.f64 z y) 2) (*.f64 (*.f64 z x) (fma.f64 z y (*.f64 z x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 z y) 3) (pow.f64 (*.f64 z x) 3)) (+.f64 (pow.f64 (*.f64 z x) 2) (-.f64 (pow.f64 (*.f64 z y) 2) (*.f64 (*.f64 z y) (*.f64 z x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 z y) 3) (pow.f64 (*.f64 z x) 3))) (neg.f64 (+.f64 (pow.f64 (*.f64 z y) 2) (*.f64 (*.f64 z x) (fma.f64 z y (*.f64 z x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (pow.f64 (fma.f64 z y (*.f64 z x)) 2)) (fma.f64 z y (*.f64 z x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 z y) 3) (pow.f64 (*.f64 z x) 3)) (+.f64 (pow.f64 (*.f64 z y) 2) (*.f64 (*.f64 z x) (fma.f64 z y (*.f64 z x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 z x) 2) (pow.f64 (*.f64 z y) 2)) (fma.f64 z y (*.f64 z x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 z y (*.f64 z x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 z y (*.f64 z x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 z y (*.f64 z x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 z y (*.f64 z x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (fma.f64 z y (*.f64 z x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 z y (*.f64 z x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 z y (*.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 z y (*.f64 z x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 z y (*.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 z y (*.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 z y (*.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 z y (*.f64 z x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 z x (*.f64 z y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y z (*.f64 z x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x z (*.f64 z y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 z y) (*.f64 z x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 z x) (*.f64 z y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 z x)) 2) (cbrt.f64 (*.f64 z x)) (*.f64 z y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 z y)) 2) (cbrt.f64 (*.f64 z y)) (*.f64 z x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 z x)) (sqrt.f64 (*.f64 z x)) (*.f64 z y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 z y)) (sqrt.f64 (*.f64 z y)) (*.f64 z x)))))) |
| 1× | egg-herbie |
| 118× | fma-def_binary64 |
| 94× | fma-neg_binary64 |
| 38× | cancel-sign-sub-inv_binary64 |
| 33× | sub-neg_binary64 |
| 24× | unsub-neg_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 17 | 306 |
| 1 | 44 | 306 |
| 2 | 85 | 306 |
| 3 | 116 | 306 |
| 4 | 219 | 306 |
| 5 | 376 | 306 |
| 6 | 578 | 306 |
| 7 | 625 | 306 |
| 8 | 629 | 306 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 (+.f64 (*.f64 -1 x) (*.f64 -1 y)) z) |
(*.f64 (+.f64 (*.f64 -1 x) (*.f64 -1 y)) z) |
(*.f64 (+.f64 (*.f64 -1 x) (*.f64 -1 y)) z) |
(*.f64 (+.f64 (*.f64 -1 x) (*.f64 -1 y)) z) |
(*.f64 (+.f64 (*.f64 -1 x) (*.f64 -1 y)) z) |
(*.f64 (+.f64 (*.f64 -1 x) (*.f64 -1 y)) z) |
(*.f64 (+.f64 (*.f64 -1 x) (*.f64 -1 y)) z) |
(*.f64 (+.f64 (*.f64 -1 x) (*.f64 -1 y)) 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 (+.f64 (*.f64 -1 x) (*.f64 -1 y)) z) |
(neg.f64 (*.f64 z (+.f64 x y))) |
(*.f64 (neg.f64 (+.f64 x y)) z) |
(*.f64 (-.f64 (neg.f64 x) y) z) |
(*.f64 (+.f64 (*.f64 -1 x) (*.f64 -1 y)) z) |
(neg.f64 (*.f64 z (+.f64 x y))) |
(*.f64 (neg.f64 (+.f64 x y)) z) |
(*.f64 (-.f64 (neg.f64 x) y) z) |
(*.f64 (+.f64 (*.f64 -1 x) (*.f64 -1 y)) z) |
(neg.f64 (*.f64 z (+.f64 x y))) |
(*.f64 (neg.f64 (+.f64 x y)) z) |
(*.f64 (-.f64 (neg.f64 x) y) z) |
(*.f64 (+.f64 (*.f64 -1 x) (*.f64 -1 y)) z) |
(neg.f64 (*.f64 z (+.f64 x y))) |
(*.f64 (neg.f64 (+.f64 x y)) z) |
(*.f64 (-.f64 (neg.f64 x) y) z) |
(*.f64 (+.f64 (*.f64 -1 x) (*.f64 -1 y)) z) |
(neg.f64 (*.f64 z (+.f64 x y))) |
(*.f64 (neg.f64 (+.f64 x y)) z) |
(*.f64 (-.f64 (neg.f64 x) y) z) |
(*.f64 (+.f64 (*.f64 -1 x) (*.f64 -1 y)) z) |
(neg.f64 (*.f64 z (+.f64 x y))) |
(*.f64 (neg.f64 (+.f64 x y)) z) |
(*.f64 (-.f64 (neg.f64 x) y) z) |
(*.f64 (+.f64 (*.f64 -1 x) (*.f64 -1 y)) z) |
(neg.f64 (*.f64 z (+.f64 x y))) |
(*.f64 (neg.f64 (+.f64 x y)) z) |
(*.f64 (-.f64 (neg.f64 x) y) z) |
(*.f64 (+.f64 (*.f64 -1 x) (*.f64 -1 y)) z) |
(neg.f64 (*.f64 z (+.f64 x y))) |
(*.f64 (neg.f64 (+.f64 x y)) z) |
(*.f64 (-.f64 (neg.f64 x) y) z) |
(*.f64 -1 (*.f64 (+.f64 y x) z)) |
(neg.f64 (*.f64 z (+.f64 x y))) |
(*.f64 (neg.f64 (+.f64 x y)) z) |
(*.f64 (-.f64 (neg.f64 x) y) z) |
(*.f64 -1 (*.f64 (+.f64 y x) z)) |
(neg.f64 (*.f64 z (+.f64 x y))) |
(*.f64 (neg.f64 (+.f64 x y)) z) |
(*.f64 (-.f64 (neg.f64 x) y) z) |
(*.f64 -1 (*.f64 (+.f64 y x) z)) |
(neg.f64 (*.f64 z (+.f64 x y))) |
(*.f64 (neg.f64 (+.f64 x y)) z) |
(*.f64 (-.f64 (neg.f64 x) y) z) |
(*.f64 -1 (*.f64 (+.f64 y x) z)) |
(neg.f64 (*.f64 z (+.f64 x y))) |
(*.f64 (neg.f64 (+.f64 x y)) z) |
(*.f64 (-.f64 (neg.f64 x) y) z) |
(*.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 z (+.f64 x y))) |
(*.f64 (neg.f64 (+.f64 x y)) z) |
(*.f64 (-.f64 (neg.f64 x) y) z) |
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 -1 (*.f64 z x))) |
(neg.f64 (*.f64 z (+.f64 x y))) |
(*.f64 (neg.f64 (+.f64 x y)) z) |
(*.f64 (-.f64 (neg.f64 x) y) z) |
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 -1 (*.f64 z x))) |
(neg.f64 (*.f64 z (+.f64 x y))) |
(*.f64 (neg.f64 (+.f64 x y)) z) |
(*.f64 (-.f64 (neg.f64 x) y) z) |
(*.f64 -1 (*.f64 y z)) |
(*.f64 (neg.f64 y) z) |
(*.f64 y (neg.f64 z)) |
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 -1 (*.f64 z x))) |
(neg.f64 (*.f64 z (+.f64 x y))) |
(*.f64 (neg.f64 (+.f64 x y)) z) |
(*.f64 (-.f64 (neg.f64 x) y) z) |
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 -1 (*.f64 z x))) |
(neg.f64 (*.f64 z (+.f64 x y))) |
(*.f64 (neg.f64 (+.f64 x y)) z) |
(*.f64 (-.f64 (neg.f64 x) y) z) |
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 -1 (*.f64 z x))) |
(neg.f64 (*.f64 z (+.f64 x y))) |
(*.f64 (neg.f64 (+.f64 x y)) z) |
(*.f64 (-.f64 (neg.f64 x) y) z) |
(*.f64 -1 (*.f64 y z)) |
(*.f64 (neg.f64 y) z) |
(*.f64 y (neg.f64 z)) |
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 -1 (*.f64 z x))) |
(neg.f64 (*.f64 z (+.f64 x y))) |
(*.f64 (neg.f64 (+.f64 x y)) z) |
(*.f64 (-.f64 (neg.f64 x) y) z) |
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 -1 (*.f64 z x))) |
(neg.f64 (*.f64 z (+.f64 x y))) |
(*.f64 (neg.f64 (+.f64 x y)) z) |
(*.f64 (-.f64 (neg.f64 x) y) z) |
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 -1 (*.f64 z x))) |
(neg.f64 (*.f64 z (+.f64 x y))) |
(*.f64 (neg.f64 (+.f64 x y)) z) |
(*.f64 (-.f64 (neg.f64 x) y) z) |
(*.f64 -1 (*.f64 y z)) |
(*.f64 (neg.f64 y) z) |
(*.f64 y (neg.f64 z)) |
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 -1 (*.f64 z x))) |
(neg.f64 (*.f64 z (+.f64 x y))) |
(*.f64 (neg.f64 (+.f64 x y)) z) |
(*.f64 (-.f64 (neg.f64 x) y) z) |
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 -1 (*.f64 z x))) |
(neg.f64 (*.f64 z (+.f64 x y))) |
(*.f64 (neg.f64 (+.f64 x y)) z) |
(*.f64 (-.f64 (neg.f64 x) y) z) |
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 -1 (*.f64 z x))) |
(neg.f64 (*.f64 z (+.f64 x y))) |
(*.f64 (neg.f64 (+.f64 x y)) z) |
(*.f64 (-.f64 (neg.f64 x) y) z) |
(*.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 z (+.f64 x y))) |
(*.f64 (neg.f64 (+.f64 x y)) z) |
(*.f64 (-.f64 (neg.f64 x) y) z) |
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 -1 (*.f64 z x))) |
(neg.f64 (*.f64 z (+.f64 x y))) |
(*.f64 (neg.f64 (+.f64 x y)) z) |
(*.f64 (-.f64 (neg.f64 x) y) z) |
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 -1 (*.f64 z x))) |
(neg.f64 (*.f64 z (+.f64 x y))) |
(*.f64 (neg.f64 (+.f64 x y)) z) |
(*.f64 (-.f64 (neg.f64 x) y) z) |
(*.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 z (+.f64 x y))) |
(*.f64 (neg.f64 (+.f64 x y)) z) |
(*.f64 (-.f64 (neg.f64 x) y) z) |
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 -1 (*.f64 z x))) |
(neg.f64 (*.f64 z (+.f64 x y))) |
(*.f64 (neg.f64 (+.f64 x y)) z) |
(*.f64 (-.f64 (neg.f64 x) y) z) |
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 -1 (*.f64 z x))) |
(neg.f64 (*.f64 z (+.f64 x y))) |
(*.f64 (neg.f64 (+.f64 x y)) z) |
(*.f64 (-.f64 (neg.f64 x) y) z) |
Compiled 632 to 193 computations (69.5% saved)
10 alts after pruning (1 fresh and 9 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 50 | 0 | 50 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 8 | 8 |
| Total | 50 | 10 | 60 |
| Status | Error | Program |
|---|---|---|
| ✓ | 34.3b | (-.f64 x (*.f64 z x)) |
| ✓ | 0.0b | (*.f64 (+.f64 x y) (-.f64 1 z)) |
| ✓ | 52.5b | (*.f64 y (neg.f64 z)) |
| 39.7b | y | |
| ✓ | 43.2b | (+.f64 (*.f64 z (neg.f64 y)) (*.f64 x (neg.f64 z))) |
| ✓ | 53.7b | (*.f64 x (neg.f64 z)) |
| ✓ | 43.2b | (*.f64 z (-.f64 (neg.f64 y) x)) |
| ✓ | 20.0b | (+.f64 y x) |
| ✓ | 29.9b | (-.f64 y (*.f64 y z)) |
| ✓ | 29.9b | (*.f64 y (-.f64 1 z)) |
Compiled 79 to 54 computations (31.6% saved)
| Inputs |
|---|
y |
y |
(+.f64 y x) |
(*.f64 x (neg.f64 z)) |
(*.f64 y (neg.f64 z)) |
(-.f64 x (*.f64 z x)) |
(-.f64 y (*.f64 y z)) |
(*.f64 y (-.f64 1 z)) |
(*.f64 z (-.f64 (neg.f64 y) x)) |
(*.f64 z (-.f64 (neg.f64 y) x)) |
(*.f64 (+.f64 x y) (-.f64 1 z)) |
(+.f64 (*.f64 z (neg.f64 y)) (*.f64 x (neg.f64 z))) |
(+.f64 (*.f64 (-.f64 1 z) y) (*.f64 x (neg.f64 z))) |
(+.f64 (*.f64 (-.f64 1 z) y) (*.f64 (-.f64 1 z) x)) |
| Outputs |
|---|
(*.f64 (+.f64 x y) (-.f64 1 z)) |
6 calls:
| 10.0ms | x |
| 9.0ms | (+.f64 x y) |
| 9.0ms | z |
| 9.0ms | (*.f64 (+.f64 x y) (-.f64 1 z)) |
| 8.0ms | y |
| 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 114 to 59 computations (48.2% saved)
| Inputs |
|---|
y |
y |
(+.f64 y x) |
(*.f64 x (neg.f64 z)) |
(*.f64 y (neg.f64 z)) |
(-.f64 x (*.f64 z x)) |
(-.f64 y (*.f64 y z)) |
(*.f64 y (-.f64 1 z)) |
(*.f64 z (-.f64 (neg.f64 y) x)) |
(*.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:
| 53.0ms | z |
| 30.0ms | x |
| 18.0ms | y |
| 10.0ms | (-.f64 1 z) |
| 10.0ms | (-.f64 1 z) |
| Error | Segments | Branch |
|---|---|---|
| 9.3b | 5 | x |
| 12.4b | 2 | y |
| 1.4b | 3 | z |
| 1.4b | 3 | (-.f64 1 z) |
| 1.4b | 3 | (-.f64 1 z) |
Compiled 67 to 36 computations (46.3% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.0117989219212418 | 14.932736698022751 |
| 0.0ms | -132852348075.21477 | 0.8912675310121668 |
Compiled 16 to 12 computations (25% saved)
| Inputs |
|---|
y |
y |
(+.f64 y x) |
(*.f64 x (neg.f64 z)) |
(*.f64 y (neg.f64 z)) |
(-.f64 x (*.f64 z x)) |
(-.f64 y (*.f64 y z)) |
(*.f64 y (-.f64 1 z)) |
| Outputs |
|---|
(*.f64 y (neg.f64 z)) |
(-.f64 x (*.f64 z x)) |
(+.f64 y x) |
(*.f64 y (-.f64 1 z)) |
(*.f64 x (neg.f64 z)) |
(*.f64 y (neg.f64 z)) |
5 calls:
| 82.0ms | x |
| 72.0ms | (-.f64 1 z) |
| 24.0ms | (-.f64 1 z) |
| 20.0ms | z |
| 17.0ms | y |
| Error | Segments | Branch |
|---|---|---|
| 10.5b | 4 | x |
| 12.4b | 2 | y |
| 9.0b | 4 | z |
| 7.5b | 6 | (-.f64 1 z) |
| 7.5b | 6 | (-.f64 1 z) |
Compiled 55 to 33 computations (40% saved)
| 5× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.0571824870242174e+264 | 1.1324772568552343e+266 |
| 0.0ms | 1.9347537904260036e+69 | 1.6974871963946705e+85 |
| 0.0ms | 14.932736698022751 | 3869335.6788320867 |
| 0.0ms | 0.9999999999883096 | 0.9999999999999991 |
| 0.0ms | -3.3720148924935057e+96 | -2.9888860104376284e+96 |
Compiled 16 to 12 computations (25% saved)
| Inputs |
|---|
y |
y |
(+.f64 y x) |
(*.f64 x (neg.f64 z)) |
(*.f64 y (neg.f64 z)) |
(-.f64 x (*.f64 z x)) |
(-.f64 y (*.f64 y z)) |
| Outputs |
|---|
(-.f64 y (*.f64 y z)) |
(+.f64 y x) |
(-.f64 x (*.f64 z x)) |
(*.f64 y (neg.f64 z)) |
3 calls:
| 24.0ms | x |
| 23.0ms | z |
| 18.0ms | y |
| Error | Segments | Branch |
|---|---|---|
| 10.5b | 4 | x |
| 12.4b | 2 | y |
| 9.0b | 4 | z |
Compiled 38 to 20 computations (47.4% saved)
| 3× | binary-search |
| Time | Left | Right |
|---|---|---|
| 7.0ms | 2.9888860104376284e+96 | 3.3720148924935057e+96 |
| 19.0ms | 9.427091892862416e-16 | 1.1690437629557916e-11 |
| 174.0ms | -3869334.6788320867 | -13.932736698022751 |
Compiled 50 to 36 computations (28% saved)
| Inputs |
|---|
y |
y |
(+.f64 y x) |
(*.f64 x (neg.f64 z)) |
(*.f64 y (neg.f64 z)) |
(-.f64 x (*.f64 z x)) |
| Outputs |
|---|
(*.f64 y (neg.f64 z)) |
(+.f64 y x) |
(-.f64 x (*.f64 z x)) |
(*.f64 y (neg.f64 z)) |
3 calls:
| 27.0ms | x |
| 17.0ms | z |
| 10.0ms | y |
| Error | Segments | Branch |
|---|---|---|
| 14.7b | 6 | x |
| 15.0b | 2 | y |
| 9.2b | 4 | z |
Compiled 33 to 18 computations (45.5% saved)
| 3× | binary-search |
| Time | Left | Right |
|---|---|---|
| 7.0ms | 2.9888860104376284e+96 | 3.3720148924935057e+96 |
| 22.0ms | 9.427091892862416e-16 | 1.1690437629557916e-11 |
| 56.0ms | -3869334.6788320867 | -13.932736698022751 |
Compiled 50 to 36 computations (28% saved)
| Inputs |
|---|
y |
y |
(+.f64 y x) |
(*.f64 x (neg.f64 z)) |
(*.f64 y (neg.f64 z)) |
| Outputs |
|---|
(*.f64 y (neg.f64 z)) |
(+.f64 y x) |
(*.f64 x (neg.f64 z)) |
(*.f64 y (neg.f64 z)) |
3 calls:
| 53.0ms | z |
| 21.0ms | x |
| 12.0ms | y |
| Error | Segments | Branch |
|---|---|---|
| 17.5b | 5 | x |
| 18.4b | 3 | y |
| 9.5b | 4 | z |
Compiled 28 to 16 computations (42.9% saved)
| 3× | binary-search |
| Time | Left | Right |
|---|---|---|
| 9.0ms | 2.9888860104376284e+96 | 3.3720148924935057e+96 |
| 18.0ms | 0.10873246898783316 | 132852348076.21477 |
| 18.0ms | -3869334.6788320867 | -13.932736698022751 |
Compiled 48 to 36 computations (25% saved)
| Inputs |
|---|
y |
y |
(+.f64 y x) |
(*.f64 x (neg.f64 z)) |
| Outputs |
|---|
(*.f64 x (neg.f64 z)) |
(+.f64 y x) |
(*.f64 x (neg.f64 z)) |
3 calls:
| 13.0ms | x |
| 11.0ms | y |
| 11.0ms | z |
| Error | Segments | Branch |
|---|---|---|
| 18.8b | 3 | x |
| 18.4b | 3 | y |
| 11.9b | 3 | z |
Compiled 24 to 15 computations (37.5% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 23.0ms | 0.10873246898783316 | 132852348076.21477 |
| 20.0ms | -33723669171.900463 | -3869334.6788320867 |
Compiled 16 to 12 computations (25% saved)
| Inputs |
|---|
y |
y |
(+.f64 y x) |
| Outputs |
|---|
(+.f64 y x) |
3 calls:
| 6.0ms | x |
| 4.0ms | y |
| 4.0ms | z |
| Error | Segments | Branch |
|---|---|---|
| 20.0b | 1 | x |
| 20.0b | 1 | y |
| 20.0b | 1 | z |
Compiled 20 to 13 computations (35% saved)
Total -0.0b remaining (-0%)
Threshold costs -0.0b (-0%)
| Inputs |
|---|
y |
y |
| Outputs |
|---|
y |
3 calls:
| 3.0ms | x |
| 3.0ms | y |
| 3.0ms | z |
| Error | Segments | Branch |
|---|---|---|
| 39.7b | 1 | x |
| 39.7b | 1 | y |
| 39.7b | 1 | z |
Compiled 17 to 12 computations (29.4% 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 | 61 | 287 |
| 1 | 90 | 287 |
| 2 | 109 | 287 |
| 3 | 124 | 287 |
| 4 | 135 | 287 |
| 5 | 138 | 287 |
| 6 | 139 | 287 |
| 1× | fuel |
| 1× | saturated |
| Inputs |
|---|
(*.f64 (+.f64 x y) (-.f64 1 z)) |
(if (<=.f64 (-.f64 1 z) -100000000000) (*.f64 z (-.f64 (neg.f64 y) x)) (if (<=.f64 (-.f64 1 z) 2) (+.f64 y x) (*.f64 z (-.f64 (neg.f64 y) x)))) |
(if (<=.f64 (-.f64 1 z) -3000000000000000031013862536714894937294116807418968812976214494220027620893351422050332294774784) (*.f64 y (neg.f64 z)) (if (<=.f64 (-.f64 1 z) 1125899906831365/1125899906842624) (-.f64 x (*.f64 z x)) (if (<=.f64 (-.f64 1 z) 20) (+.f64 y x) (if (<=.f64 (-.f64 1 z) 2000000000000000145062872763058470252316748819293043911036420310958080) (*.f64 y (-.f64 1 z)) (if (<=.f64 (-.f64 1 z) 2000000000000000088281037805790575558572782794765162549126012346566888792166047218548967335383701664797639397755095222062794225936857411749371199466668068384943561307143740090430395479270498413381628926367543716105666065019831099205147950020333146087680957122347008) (*.f64 x (neg.f64 z)) (*.f64 y (neg.f64 z))))))) |
(if (<=.f64 z -4154666475715619/1073741824) (-.f64 y (*.f64 y z)) (if (<=.f64 z 4780103478557487/5070602400912917605986812821504) (+.f64 y x) (if (<=.f64 z 3299999999999999844401489783967529849044826649926597467476293067456530260735380925690493922181120) (-.f64 x (*.f64 z x)) (*.f64 y (neg.f64 z))))) |
(if (<=.f64 z -4154666475715619/1073741824) (*.f64 y (neg.f64 z)) (if (<=.f64 z 4780103478557487/5070602400912917605986812821504) (+.f64 y x) (if (<=.f64 z 3299999999999999844401489783967529849044826649926597467476293067456530260735380925690493922181120) (-.f64 x (*.f64 z x)) (*.f64 y (neg.f64 z))))) |
(if (<=.f64 z -4154666475715619/1073741824) (*.f64 y (neg.f64 z)) (if (<=.f64 z 7835000109066871/72057594037927936) (+.f64 y x) (if (<=.f64 z 3299999999999999844401489783967529849044826649926597467476293067456530260735380925690493922181120) (*.f64 x (neg.f64 z)) (*.f64 y (neg.f64 z))))) |
(if (<=.f64 z -8840457531398675/262144) (*.f64 x (neg.f64 z)) (if (<=.f64 z 7835000109066871/72057594037927936) (+.f64 y x) (*.f64 x (neg.f64 z)))) |
(+.f64 y x) |
y |
| Outputs |
|---|
(*.f64 (+.f64 x y) (-.f64 1 z)) |
(*.f64 (-.f64 1 z) (+.f64 x y)) |
(if (<=.f64 (-.f64 1 z) -100000000000) (*.f64 z (-.f64 (neg.f64 y) x)) (if (<=.f64 (-.f64 1 z) 2) (+.f64 y x) (*.f64 z (-.f64 (neg.f64 y) x)))) |
(if (<=.f64 (-.f64 1 z) -100000000000) (*.f64 z (-.f64 (neg.f64 y) x)) (if (<=.f64 (-.f64 1 z) 2) (+.f64 x y) (*.f64 z (-.f64 (neg.f64 y) x)))) |
(if (<=.f64 (-.f64 1 z) -3000000000000000031013862536714894937294116807418968812976214494220027620893351422050332294774784) (*.f64 y (neg.f64 z)) (if (<=.f64 (-.f64 1 z) 1125899906831365/1125899906842624) (-.f64 x (*.f64 z x)) (if (<=.f64 (-.f64 1 z) 20) (+.f64 y x) (if (<=.f64 (-.f64 1 z) 2000000000000000145062872763058470252316748819293043911036420310958080) (*.f64 y (-.f64 1 z)) (if (<=.f64 (-.f64 1 z) 2000000000000000088281037805790575558572782794765162549126012346566888792166047218548967335383701664797639397755095222062794225936857411749371199466668068384943561307143740090430395479270498413381628926367543716105666065019831099205147950020333146087680957122347008) (*.f64 x (neg.f64 z)) (*.f64 y (neg.f64 z))))))) |
(if (<=.f64 (-.f64 1 z) -3000000000000000031013862536714894937294116807418968812976214494220027620893351422050332294774784) (*.f64 y (neg.f64 z)) (if (<=.f64 (-.f64 1 z) 1125899906831365/1125899906842624) (-.f64 x (*.f64 x z)) (if (<=.f64 (-.f64 1 z) 20) (+.f64 x y) (if (<=.f64 (-.f64 1 z) 2000000000000000145062872763058470252316748819293043911036420310958080) (*.f64 y (-.f64 1 z)) (if (<=.f64 (-.f64 1 z) 2000000000000000088281037805790575558572782794765162549126012346566888792166047218548967335383701664797639397755095222062794225936857411749371199466668068384943561307143740090430395479270498413381628926367543716105666065019831099205147950020333146087680957122347008) (*.f64 x (neg.f64 z)) (*.f64 y (neg.f64 z))))))) |
(if (<=.f64 z -4154666475715619/1073741824) (-.f64 y (*.f64 y z)) (if (<=.f64 z 4780103478557487/5070602400912917605986812821504) (+.f64 y x) (if (<=.f64 z 3299999999999999844401489783967529849044826649926597467476293067456530260735380925690493922181120) (-.f64 x (*.f64 z x)) (*.f64 y (neg.f64 z))))) |
(if (<=.f64 z -4154666475715619/1073741824) (-.f64 y (*.f64 y z)) (if (<=.f64 z 4780103478557487/5070602400912917605986812821504) (+.f64 x y) (if (<=.f64 z 3299999999999999844401489783967529849044826649926597467476293067456530260735380925690493922181120) (-.f64 x (*.f64 x z)) (*.f64 y (neg.f64 z))))) |
(if (<=.f64 z -4154666475715619/1073741824) (*.f64 y (neg.f64 z)) (if (<=.f64 z 4780103478557487/5070602400912917605986812821504) (+.f64 y x) (if (<=.f64 z 3299999999999999844401489783967529849044826649926597467476293067456530260735380925690493922181120) (-.f64 x (*.f64 z x)) (*.f64 y (neg.f64 z))))) |
(if (<=.f64 z -4154666475715619/1073741824) (*.f64 y (neg.f64 z)) (if (<=.f64 z 4780103478557487/5070602400912917605986812821504) (+.f64 x y) (if (<=.f64 z 3299999999999999844401489783967529849044826649926597467476293067456530260735380925690493922181120) (-.f64 x (*.f64 x z)) (*.f64 y (neg.f64 z))))) |
(if (<=.f64 z -4154666475715619/1073741824) (*.f64 y (neg.f64 z)) (if (<=.f64 z 7835000109066871/72057594037927936) (+.f64 y x) (if (<=.f64 z 3299999999999999844401489783967529849044826649926597467476293067456530260735380925690493922181120) (*.f64 x (neg.f64 z)) (*.f64 y (neg.f64 z))))) |
(if (<=.f64 z -4154666475715619/1073741824) (*.f64 y (neg.f64 z)) (if (<=.f64 z 7835000109066871/72057594037927936) (+.f64 x y) (if (<=.f64 z 3299999999999999844401489783967529849044826649926597467476293067456530260735380925690493922181120) (*.f64 x (neg.f64 z)) (*.f64 y (neg.f64 z))))) |
(if (<=.f64 z -8840457531398675/262144) (*.f64 x (neg.f64 z)) (if (<=.f64 z 7835000109066871/72057594037927936) (+.f64 y x) (*.f64 x (neg.f64 z)))) |
(if (<=.f64 z -8840457531398675/262144) (*.f64 x (neg.f64 z)) (if (<=.f64 z 7835000109066871/72057594037927936) (+.f64 x y) (*.f64 x (neg.f64 z)))) |
(+.f64 y x) |
(+.f64 x y) |
y |
Compiled 223 to 132 computations (40.8% saved)
(sort x y)
Compiled 219 to 102 computations (53.4% saved)
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