Time bar (total: 3.5s)
| 1× | search |
| True | Other | False | Iter |
|---|---|---|---|
| 0% | 99.9% | 0.1% | 0 |
| 0% | 99.9% | 0.1% | 1 |
| 0% | 99.9% | 0.1% | 2 |
| 0% | 99.9% | 0.1% | 3 |
| 0% | 99.9% | 0.1% | 4 |
| 0% | 99.9% | 0.1% | 5 |
| 0% | 99.9% | 0.1% | 6 |
| 12.5% | 87.4% | 0.1% | 7 |
| 18.7% | 81.1% | 0.1% | 8 |
| 18.7% | 81.1% | 0.1% | 9 |
| 28.1% | 71.8% | 0.1% | 10 |
| 32.8% | 67.1% | 0.1% | 11 |
| 39.8% | 60.1% | 0.1% | 12 |
| 45.2% | 54.5% | 0.2% | 13 |
| 48.6% | 50.6% | 0.9% | 14 |
Compiled 19 to 10 computations (47.4% saved)
| 738.0ms | 6017× | body | 128 | valid |
| 401.0ms | 827× | body | 1024 | valid |
| 234.0ms | 496× | body | 2048 | valid |
| 166.0ms | 1346× | body | 128 | invalid |
| 144.0ms | 582× | body | 512 | valid |
| 139.0ms | 322× | body | 512 | invalid |
| 106.0ms | 202× | body | 1024 | invalid |
| 60.0ms | 334× | body | 256 | valid |
| 37.0ms | 226× | body | 256 | invalid |
Compiled 38 to 20 computations (47.4% saved)
| 2× | egg-herbie |
| 407× | distribute-lft-out--_binary64 |
| 387× | fma-def_binary64 |
| 376× | sub-neg_binary64 |
| 219× | fma-neg_binary64 |
| 180× | distribute-rgt-out--_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 24 | 88 |
| 1 | 88 | 40 |
| 2 | 303 | 28 |
| 3 | 867 | 28 |
| 4 | 3219 | 28 |
| 0 | 3 | 3 |
| 1× | saturated |
| 1× | node limit |
| Inputs |
|---|
0 |
1 |
2 |
| Outputs |
|---|
0 |
1 |
2 |
| Inputs |
|---|
(+.f64 (-.f64 (-.f64 (*.f64 x y) (*.f64 y z)) (*.f64 y y)) (*.f64 y y)) |
(+.f64 (-.f64 (-.f64 (*.f64 y x) (*.f64 x z)) (*.f64 x x)) (*.f64 x x)) |
(+.f64 (-.f64 (-.f64 (*.f64 z y) (*.f64 y x)) (*.f64 y y)) (*.f64 y y)) |
(+.f64 (-.f64 (-.f64 (*.f64 x z) (*.f64 z y)) (*.f64 z z)) (*.f64 z z)) |
| Outputs |
|---|
(+.f64 (-.f64 (-.f64 (*.f64 x y) (*.f64 y z)) (*.f64 y y)) (*.f64 y y)) |
(+.f64 (*.f64 y y) (-.f64 (-.f64 (*.f64 x y) (*.f64 y z)) (*.f64 y y))) |
(+.f64 (*.f64 y (-.f64 x z)) 0) |
(*.f64 y (-.f64 x z)) |
(+.f64 (-.f64 (-.f64 (*.f64 y x) (*.f64 x z)) (*.f64 x x)) (*.f64 x x)) |
(-.f64 (-.f64 (*.f64 x y) (*.f64 x z)) (-.f64 (*.f64 x x) (*.f64 x x))) |
(+.f64 (*.f64 x (-.f64 y z)) 0) |
(*.f64 x (-.f64 y z)) |
(+.f64 (-.f64 (-.f64 (*.f64 z y) (*.f64 y x)) (*.f64 y y)) (*.f64 y y)) |
(+.f64 (*.f64 y y) (-.f64 (*.f64 y z) (+.f64 (*.f64 x y) (*.f64 y y)))) |
(+.f64 (*.f64 y (-.f64 z x)) 0) |
(*.f64 y (-.f64 z x)) |
(+.f64 (-.f64 (-.f64 (*.f64 x z) (*.f64 z y)) (*.f64 z z)) (*.f64 z z)) |
(-.f64 (-.f64 (*.f64 x z) (*.f64 y z)) (-.f64 (*.f64 z z) (*.f64 z z))) |
(+.f64 (*.f64 z (-.f64 x y)) 0) |
(*.f64 z (-.f64 x y)) |
Compiled 18 to 9 computations (50% saved)
| 1× | egg-herbie |
| 450× | unsub-neg_binary64 |
| 408× | fma-def_binary64 |
| 335× | fma-neg_binary64 |
| 234× | sub-neg_binary64 |
| 185× | associate-*l*_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 22 |
| 1 | 27 | 10 |
| 2 | 89 | 7 |
| 3 | 250 | 7 |
| 4 | 802 | 7 |
| 5 | 3354 | 7 |
| 6 | 4797 | 7 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 (-.f64 (-.f64 (*.f64 x y) (*.f64 y z)) (*.f64 y y)) (*.f64 y y)) |
| Outputs |
|---|
(+.f64 (-.f64 (-.f64 (*.f64 x y) (*.f64 y z)) (*.f64 y y)) (*.f64 y y)) |
(-.f64 (-.f64 (*.f64 x y) (*.f64 y z)) (-.f64 (*.f64 y y) (*.f64 y y))) |
(+.f64 (*.f64 y (-.f64 x z)) 0) |
(*.f64 y (-.f64 x z)) |
3 alts after pruning (3 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 0 | 2 | 2 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 0 | 0 |
| Total | 0 | 3 | 3 |
| Status | Error | Program |
|---|---|---|
| ▶ | 0.0b | (*.f64 y (-.f64 x z)) |
| 16.9b | (+.f64 (-.f64 (-.f64 (*.f64 x y) (*.f64 y z)) (*.f64 y y)) (*.f64 y y)) |
Compiled 75 to 39 computations (48% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (*.f64 y (-.f64 x z)) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | -inf | (*.f64 y (-.f64 x z)) |
| 1.0ms | y | @ | 0 | (*.f64 y (-.f64 x z)) |
| 1.0ms | y | @ | -inf | (*.f64 y (-.f64 x z)) |
| 1.0ms | x | @ | inf | (*.f64 y (-.f64 x z)) |
| 1.0ms | z | @ | inf | (*.f64 y (-.f64 x z)) |
| 1× | batch-egg-rewrite |
| 725× | pow1_binary64 |
| 672× | add-log-exp_binary64 |
| 672× | log1p-expm1-u_binary64 |
| 672× | expm1-log1p-u_binary64 |
| 70× | add-sqr-sqrt_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 7 |
| 1 | 129 | 7 |
| 2 | 1780 | 7 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 y (-.f64 x z)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x y) (*.f64 (neg.f64 z) y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y x) (*.f64 y (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 y (-.f64 x z)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 x 3) (pow.f64 z 3)) y) (fma.f64 x x (*.f64 z (+.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 z z)) y) (+.f64 x z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (-.f64 (pow.f64 x 3) (pow.f64 z 3))) (fma.f64 x x (*.f64 z (+.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (-.f64 (*.f64 x x) (*.f64 z z))) (+.f64 x z))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y (-.f64 x z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 y (-.f64 x z)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 y (-.f64 x z))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 y (-.f64 x z))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 y (-.f64 x z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 y) (-.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 y (-.f64 x z)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 y (-.f64 x z)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 y 3) (pow.f64 (-.f64 x z) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (-.f64 x z) 3) (pow.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 y (-.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 y (-.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 y (-.f64 x z)))))))) |
| 1× | egg-herbie |
| 172× | fma-def_binary64 |
| 126× | fma-neg_binary64 |
| 43× | cancel-sign-sub-inv_binary64 |
| 32× | distribute-rgt-in_binary64 |
| 27× | sub-neg_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 240 |
| 1 | 25 | 240 |
| 2 | 43 | 240 |
| 3 | 67 | 240 |
| 4 | 102 | 240 |
| 5 | 171 | 240 |
| 6 | 295 | 240 |
| 7 | 437 | 240 |
| 8 | 630 | 240 |
| 9 | 696 | 240 |
| 10 | 708 | 240 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 (-.f64 x z) y) |
(*.f64 (-.f64 x z) y) |
(*.f64 (-.f64 x z) y) |
(*.f64 (-.f64 x z) y) |
(*.f64 (-.f64 x z) y) |
(*.f64 (-.f64 x z) y) |
(*.f64 (-.f64 x z) y) |
(*.f64 (-.f64 x z) y) |
(*.f64 (-.f64 x z) y) |
(*.f64 (-.f64 x z) y) |
(*.f64 (-.f64 x z) y) |
(*.f64 (-.f64 x z) y) |
(*.f64 -1 (*.f64 y z)) |
(-.f64 (*.f64 y x) (*.f64 y z)) |
(-.f64 (*.f64 y x) (*.f64 y z)) |
(-.f64 (*.f64 y x) (*.f64 y z)) |
(*.f64 y x) |
(-.f64 (*.f64 y x) (*.f64 y z)) |
(-.f64 (*.f64 y x) (*.f64 y z)) |
(-.f64 (*.f64 y x) (*.f64 y z)) |
(*.f64 y x) |
(-.f64 (*.f64 y x) (*.f64 y z)) |
(-.f64 (*.f64 y x) (*.f64 y z)) |
(-.f64 (*.f64 y x) (*.f64 y z)) |
(*.f64 y x) |
(-.f64 (*.f64 y x) (*.f64 y z)) |
(-.f64 (*.f64 y x) (*.f64 y z)) |
(-.f64 (*.f64 y x) (*.f64 y z)) |
(*.f64 -1 (*.f64 y z)) |
(-.f64 (*.f64 y x) (*.f64 y z)) |
(-.f64 (*.f64 y x) (*.f64 y z)) |
(-.f64 (*.f64 y x) (*.f64 y z)) |
(*.f64 -1 (*.f64 y z)) |
(-.f64 (*.f64 y x) (*.f64 y z)) |
(-.f64 (*.f64 y x) (*.f64 y z)) |
(-.f64 (*.f64 y x) (*.f64 y z)) |
| Outputs |
|---|
(*.f64 (-.f64 x z) y) |
(*.f64 (-.f64 x z) y) |
(*.f64 (-.f64 x z) y) |
(*.f64 (-.f64 x z) y) |
(*.f64 (-.f64 x z) y) |
(*.f64 (-.f64 x z) y) |
(*.f64 (-.f64 x z) y) |
(*.f64 (-.f64 x z) y) |
(*.f64 (-.f64 x z) y) |
(*.f64 (-.f64 x z) y) |
(*.f64 (-.f64 x z) y) |
(*.f64 (-.f64 x z) y) |
(*.f64 -1 (*.f64 y z)) |
(neg.f64 (*.f64 z y)) |
(*.f64 z (neg.f64 y)) |
(-.f64 (*.f64 y x) (*.f64 y z)) |
(*.f64 (-.f64 x z) y) |
(-.f64 (*.f64 y x) (*.f64 y z)) |
(*.f64 (-.f64 x z) y) |
(-.f64 (*.f64 y x) (*.f64 y z)) |
(*.f64 (-.f64 x z) y) |
(*.f64 y x) |
(*.f64 x y) |
(-.f64 (*.f64 y x) (*.f64 y z)) |
(*.f64 (-.f64 x z) y) |
(-.f64 (*.f64 y x) (*.f64 y z)) |
(*.f64 (-.f64 x z) y) |
(-.f64 (*.f64 y x) (*.f64 y z)) |
(*.f64 (-.f64 x z) y) |
(*.f64 y x) |
(*.f64 x y) |
(-.f64 (*.f64 y x) (*.f64 y z)) |
(*.f64 (-.f64 x z) y) |
(-.f64 (*.f64 y x) (*.f64 y z)) |
(*.f64 (-.f64 x z) y) |
(-.f64 (*.f64 y x) (*.f64 y z)) |
(*.f64 (-.f64 x z) y) |
(*.f64 y x) |
(*.f64 x y) |
(-.f64 (*.f64 y x) (*.f64 y z)) |
(*.f64 (-.f64 x z) y) |
(-.f64 (*.f64 y x) (*.f64 y z)) |
(*.f64 (-.f64 x z) y) |
(-.f64 (*.f64 y x) (*.f64 y z)) |
(*.f64 (-.f64 x z) y) |
(*.f64 -1 (*.f64 y z)) |
(neg.f64 (*.f64 z y)) |
(*.f64 z (neg.f64 y)) |
(-.f64 (*.f64 y x) (*.f64 y z)) |
(*.f64 (-.f64 x z) y) |
(-.f64 (*.f64 y x) (*.f64 y z)) |
(*.f64 (-.f64 x z) y) |
(-.f64 (*.f64 y x) (*.f64 y z)) |
(*.f64 (-.f64 x z) y) |
(*.f64 -1 (*.f64 y z)) |
(neg.f64 (*.f64 z y)) |
(*.f64 z (neg.f64 y)) |
(-.f64 (*.f64 y x) (*.f64 y z)) |
(*.f64 (-.f64 x z) y) |
(-.f64 (*.f64 y x) (*.f64 y z)) |
(*.f64 (-.f64 x z) y) |
(-.f64 (*.f64 y x) (*.f64 y z)) |
(*.f64 (-.f64 x z) y) |
3 alts after pruning (2 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 24 | 2 | 26 |
| Fresh | 1 | 0 | 1 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 25 | 3 | 28 |
| Status | Error | Program |
|---|---|---|
| 34.8b | (cbrt.f64 (pow.f64 (*.f64 y (-.f64 x z)) 3)) | |
| ✓ | 0.0b | (*.f64 y (-.f64 x z)) |
| ▶ | 0.0b | (-.f64 (*.f64 y x) (*.f64 y z)) |
Compiled 272 to 121 computations (55.5% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (-.f64 (*.f64 y x) (*.f64 y z)) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | 0 | (-.f64 (*.f64 y x) (*.f64 y z)) |
| 1.0ms | y | @ | inf | (-.f64 (*.f64 y x) (*.f64 y z)) |
| 0.0ms | x | @ | inf | (-.f64 (*.f64 y x) (*.f64 y z)) |
| 0.0ms | x | @ | 0 | (-.f64 (*.f64 y x) (*.f64 y z)) |
| 0.0ms | z | @ | 0 | (-.f64 (*.f64 y x) (*.f64 y z)) |
| 1× | batch-egg-rewrite |
| 836× | log1p-expm1-u_binary64 |
| 836× | expm1-log1p-u_binary64 |
| 85× | add-sqr-sqrt_binary64 |
| 84× | *-un-lft-identity_binary64 |
| 84× | pow1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 7 |
| 1 | 162 | 7 |
| 2 | 2299 | 7 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (*.f64 y x) (*.f64 y z)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y x) (*.f64 z (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y x) (*.f64 (*.f64 z (neg.f64 y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y x) (+.f64 (*.f64 z (neg.f64 y)) (fma.f64 (neg.f64 z) y (*.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y (-.f64 x z)) (fma.f64 (neg.f64 z) y (*.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y (-.f64 x z)) (fma.f64 (neg.f64 y) z (*.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y (-.f64 x z)) (fma.f64 (*.f64 z (neg.f64 y)) 1 (*.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y (-.f64 x 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 x 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 (-.f64 x z)) (*.f64 (fma.f64 (neg.f64 z) y (*.f64 y z)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y (-.f64 x z)) (+.f64 (fma.f64 (neg.f64 z) y (*.f64 y z)) (fma.f64 (neg.f64 z) y (*.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (neg.f64 z) y (*.f64 y z)) (*.f64 y (-.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 z (neg.f64 y)) (*.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (-.f64 x z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y (-.f64 x z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 y (-.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) (-.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 y (-.f64 x z))) (pow.f64 (cbrt.f64 (*.f64 y (-.f64 x z))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 y (-.f64 x z))) 2) (cbrt.f64 (*.f64 y (-.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (-.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 y (-.f64 x z))) (sqrt.f64 (*.f64 y (-.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (*.f64 y x) 3) (pow.f64 (*.f64 y z) 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 y x) 2) (*.f64 (*.f64 y z) (*.f64 y (+.f64 x z))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 y (+.f64 x z)) (*.f64 y (-.f64 x z))) (/.f64 1 (*.f64 y (+.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 x z) y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 (*.f64 y z))) (-.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 (*.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 y x) 2) (*.f64 (*.f64 y z) (*.f64 y (+.f64 x z)))) (-.f64 (pow.f64 (*.f64 y x) 3) (pow.f64 (*.f64 y z) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 y (+.f64 x z)) (*.f64 (*.f64 y (+.f64 x z)) (*.f64 y (-.f64 x z)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 y x) 3) (pow.f64 (*.f64 y z) 3)) (+.f64 (pow.f64 (*.f64 y x) 2) (*.f64 (*.f64 y z) (*.f64 y (+.f64 x z)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 y (+.f64 x z)) (*.f64 y (-.f64 x z))) (*.f64 y (+.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 y x) 3) (pow.f64 (*.f64 y z) 3))) (neg.f64 (+.f64 (pow.f64 (*.f64 y x) 2) (*.f64 (*.f64 y z) (*.f64 y (+.f64 x z))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (*.f64 y (+.f64 x z)) (*.f64 y (-.f64 x z)))) (neg.f64 (*.f64 y (+.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 y x) 3) (pow.f64 (*.f64 z (neg.f64 y)) 3)) (+.f64 (pow.f64 (*.f64 y x) 2) (-.f64 (*.f64 (*.f64 z (neg.f64 y)) (*.f64 z (neg.f64 y))) (*.f64 (*.f64 y x) (*.f64 z (neg.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 y (-.f64 x z)) 3) (pow.f64 (fma.f64 (neg.f64 z) y (*.f64 y z)) 3)) (+.f64 (pow.f64 (*.f64 y (-.f64 x z)) 2) (-.f64 (*.f64 (fma.f64 (neg.f64 z) y (*.f64 y z)) (fma.f64 (neg.f64 z) y (*.f64 y z))) (*.f64 (*.f64 y (-.f64 x z)) (fma.f64 (neg.f64 z) y (*.f64 y z))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 y x) 2) (*.f64 (*.f64 z (neg.f64 y)) (*.f64 z (neg.f64 y)))) (-.f64 (*.f64 y x) (*.f64 z (neg.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 y (-.f64 x z)) 2) (*.f64 (fma.f64 (neg.f64 z) y (*.f64 y z)) (fma.f64 (neg.f64 z) y (*.f64 y z)))) (-.f64 (*.f64 y (-.f64 x z)) (fma.f64 (neg.f64 z) y (*.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y (-.f64 x z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 y (-.f64 x z)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 y (-.f64 x z))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 y (-.f64 x z))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 y (-.f64 x z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 y) (-.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 y (-.f64 x z)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 y (-.f64 x z)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 y (-.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 y (-.f64 x z))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 y (-.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y x (*.f64 z (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y (-.f64 x z) (fma.f64 (neg.f64 z) y (*.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x y (*.f64 z (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 y x) (*.f64 z (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 y (-.f64 x z)) (fma.f64 (neg.f64 z) y (*.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 y (-.f64 x z))) 2) (cbrt.f64 (*.f64 y (-.f64 x z))) (fma.f64 (neg.f64 z) y (*.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) 2) (cbrt.f64 (*.f64 y x)) (*.f64 z (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 y (-.f64 x z))) (sqrt.f64 (*.f64 y (-.f64 x z))) (fma.f64 (neg.f64 z) y (*.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 (*.f64 y x)) (*.f64 z (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 y (-.f64 x z)))))))) |
| 1× | egg-herbie |
| 143× | fma-def_binary64 |
| 90× | fma-neg_binary64 |
| 33× | unsub-neg_binary64 |
| 31× | cancel-sign-sub-inv_binary64 |
| 28× | distribute-rgt-in_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 114 |
| 1 | 28 | 114 |
| 2 | 63 | 114 |
| 3 | 144 | 114 |
| 4 | 269 | 114 |
| 5 | 430 | 114 |
| 6 | 592 | 114 |
| 7 | 663 | 114 |
| 8 | 665 | 114 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 (-.f64 x z) y) |
(*.f64 (-.f64 x z) y) |
(*.f64 (-.f64 x z) y) |
(*.f64 (-.f64 x z) y) |
(*.f64 (-.f64 x z) y) |
(*.f64 (-.f64 x z) y) |
(*.f64 (-.f64 x z) y) |
(*.f64 (-.f64 x z) y) |
(*.f64 -1 (*.f64 y (-.f64 z x))) |
(*.f64 -1 (*.f64 y (-.f64 z x))) |
(*.f64 -1 (*.f64 y (-.f64 z x))) |
(*.f64 -1 (*.f64 y (-.f64 z x))) |
(*.f64 -1 (*.f64 y z)) |
(*.f64 y x) |
(*.f64 y x) |
(*.f64 y x) |
(*.f64 -1 (*.f64 y z)) |
(*.f64 -1 (*.f64 y z)) |
| Outputs |
|---|
(*.f64 (-.f64 x z) y) |
(*.f64 y (-.f64 x z)) |
(*.f64 (-.f64 x z) y) |
(*.f64 y (-.f64 x z)) |
(*.f64 (-.f64 x z) y) |
(*.f64 y (-.f64 x z)) |
(*.f64 (-.f64 x z) y) |
(*.f64 y (-.f64 x z)) |
(*.f64 (-.f64 x z) y) |
(*.f64 y (-.f64 x z)) |
(*.f64 (-.f64 x z) y) |
(*.f64 y (-.f64 x z)) |
(*.f64 (-.f64 x z) y) |
(*.f64 y (-.f64 x z)) |
(*.f64 (-.f64 x z) y) |
(*.f64 y (-.f64 x z)) |
(*.f64 -1 (*.f64 y (-.f64 z x))) |
(*.f64 (-.f64 x z) y) |
(*.f64 y (-.f64 x z)) |
(*.f64 -1 (*.f64 y (-.f64 z x))) |
(*.f64 (-.f64 x z) y) |
(*.f64 y (-.f64 x z)) |
(*.f64 -1 (*.f64 y (-.f64 z x))) |
(*.f64 (-.f64 x z) y) |
(*.f64 y (-.f64 x z)) |
(*.f64 -1 (*.f64 y (-.f64 z x))) |
(*.f64 (-.f64 x z) y) |
(*.f64 y (-.f64 x z)) |
(*.f64 -1 (*.f64 y z)) |
(neg.f64 (*.f64 z y)) |
(*.f64 y (neg.f64 z)) |
(*.f64 z (neg.f64 y)) |
(*.f64 y x) |
(*.f64 x y) |
(*.f64 y x) |
(*.f64 x y) |
(*.f64 y x) |
(*.f64 x y) |
(*.f64 -1 (*.f64 y z)) |
(neg.f64 (*.f64 z y)) |
(*.f64 y (neg.f64 z)) |
(*.f64 z (neg.f64 y)) |
(*.f64 -1 (*.f64 y z)) |
(neg.f64 (*.f64 z y)) |
(*.f64 y (neg.f64 z)) |
(*.f64 z (neg.f64 y)) |
2 alts after pruning (1 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 59 | 1 | 60 |
| Fresh | 1 | 0 | 1 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 1 | 1 |
| Total | 61 | 2 | 63 |
| Status | Error | Program |
|---|---|---|
| ✓ | 0.0b | (*.f64 y (-.f64 x z)) |
| ▶ | 0.0b | (fma.f64 y x (*.f64 z (neg.f64 y))) |
Compiled 885 to 227 computations (74.4% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (fma.f64 y x (*.f64 z (neg.f64 y))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | z | @ | -inf | (fma.f64 y x (*.f64 z (neg.f64 y))) |
| 1.0ms | y | @ | inf | (fma.f64 y x (*.f64 z (neg.f64 y))) |
| 1.0ms | y | @ | -inf | (fma.f64 y x (*.f64 z (neg.f64 y))) |
| 1.0ms | y | @ | 0 | (fma.f64 y x (*.f64 z (neg.f64 y))) |
| 0.0ms | x | @ | -inf | (fma.f64 y x (*.f64 z (neg.f64 y))) |
| 1× | batch-egg-rewrite |
| 606× | pow1_binary64 |
| 555× | add-log-exp_binary64 |
| 554× | log1p-expm1-u_binary64 |
| 554× | expm1-log1p-u_binary64 |
| 74× | add-sqr-sqrt_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 10 |
| 1 | 143 | 8 |
| 2 | 1811 | 8 |
| 1× | node limit |
| Inputs |
|---|
(fma.f64 y x (*.f64 z (neg.f64 y))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y z) (*.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y x) (*.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 y x) 1) (*.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 y x) (*.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 y x (*.f64 y z)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 y x (*.f64 y z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 y x (*.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 y x (*.f64 y z))) (pow.f64 (cbrt.f64 (fma.f64 y x (*.f64 y z))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 y x (*.f64 y z))) 2) (cbrt.f64 (fma.f64 y x (*.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 y x (*.f64 y z))) (sqrt.f64 (fma.f64 y x (*.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 y x) 3) (pow.f64 (*.f64 y z) 3)) (+.f64 (*.f64 (*.f64 y x) (*.f64 y x)) (-.f64 (pow.f64 (*.f64 y z) 2) (*.f64 (*.f64 y x) (*.f64 y z)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 y x) (*.f64 y x)) (pow.f64 (*.f64 y z) 2)) (fma.f64 y x (*.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 y x (*.f64 y z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 y x (*.f64 y z)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 y x (*.f64 y z))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 y x (*.f64 y z))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 y x (*.f64 y z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 y x (*.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 y x (*.f64 y z)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 y x (*.f64 y z)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 y x (*.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 y x (*.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 y x (*.f64 y z)))))))) |
| 1× | egg-herbie |
| 165× | fma-def_binary64 |
| 93× | fma-neg_binary64 |
| 33× | cancel-sign-sub-inv_binary64 |
| 27× | unsub-neg_binary64 |
| 26× | distribute-rgt-in_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 240 |
| 1 | 34 | 240 |
| 2 | 73 | 240 |
| 3 | 161 | 240 |
| 4 | 296 | 240 |
| 5 | 459 | 240 |
| 6 | 592 | 240 |
| 7 | 678 | 240 |
| 8 | 680 | 240 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 (-.f64 x z) y) |
(*.f64 (-.f64 x z) y) |
(*.f64 (-.f64 x z) y) |
(*.f64 (-.f64 x z) y) |
(*.f64 (-.f64 x z) y) |
(*.f64 (-.f64 x z) y) |
(*.f64 (-.f64 x z) y) |
(*.f64 (-.f64 x z) y) |
(*.f64 -1 (*.f64 y (-.f64 z x))) |
(*.f64 -1 (*.f64 y (-.f64 z x))) |
(*.f64 -1 (*.f64 y (-.f64 z x))) |
(*.f64 -1 (*.f64 y (-.f64 z x))) |
(*.f64 -1 (*.f64 y z)) |
(-.f64 (*.f64 y x) (*.f64 y z)) |
(-.f64 (*.f64 y x) (*.f64 y z)) |
(-.f64 (*.f64 y x) (*.f64 y z)) |
(*.f64 y x) |
(-.f64 (*.f64 y x) (*.f64 y z)) |
(-.f64 (*.f64 y x) (*.f64 y z)) |
(-.f64 (*.f64 y x) (*.f64 y z)) |
(*.f64 y x) |
(-.f64 (*.f64 y x) (*.f64 y z)) |
(-.f64 (*.f64 y x) (*.f64 y z)) |
(-.f64 (*.f64 y x) (*.f64 y z)) |
(*.f64 y x) |
(-.f64 (*.f64 y x) (*.f64 y z)) |
(-.f64 (*.f64 y x) (*.f64 y z)) |
(-.f64 (*.f64 y x) (*.f64 y z)) |
(*.f64 -1 (*.f64 y z)) |
(-.f64 (*.f64 y x) (*.f64 y z)) |
(-.f64 (*.f64 y x) (*.f64 y z)) |
(-.f64 (*.f64 y x) (*.f64 y z)) |
(*.f64 -1 (*.f64 y z)) |
(-.f64 (*.f64 y x) (*.f64 y z)) |
(-.f64 (*.f64 y x) (*.f64 y z)) |
(-.f64 (*.f64 y x) (*.f64 y z)) |
| Outputs |
|---|
(*.f64 (-.f64 x z) y) |
(*.f64 y (-.f64 x z)) |
(*.f64 (-.f64 x z) y) |
(*.f64 y (-.f64 x z)) |
(*.f64 (-.f64 x z) y) |
(*.f64 y (-.f64 x z)) |
(*.f64 (-.f64 x z) y) |
(*.f64 y (-.f64 x z)) |
(*.f64 (-.f64 x z) y) |
(*.f64 y (-.f64 x z)) |
(*.f64 (-.f64 x z) y) |
(*.f64 y (-.f64 x z)) |
(*.f64 (-.f64 x z) y) |
(*.f64 y (-.f64 x z)) |
(*.f64 (-.f64 x z) y) |
(*.f64 y (-.f64 x z)) |
(*.f64 -1 (*.f64 y (-.f64 z x))) |
(*.f64 (-.f64 x z) y) |
(*.f64 y (-.f64 x z)) |
(*.f64 -1 (*.f64 y (-.f64 z x))) |
(*.f64 (-.f64 x z) y) |
(*.f64 y (-.f64 x z)) |
(*.f64 -1 (*.f64 y (-.f64 z x))) |
(*.f64 (-.f64 x z) y) |
(*.f64 y (-.f64 x z)) |
(*.f64 -1 (*.f64 y (-.f64 z x))) |
(*.f64 (-.f64 x z) y) |
(*.f64 y (-.f64 x z)) |
(*.f64 -1 (*.f64 y z)) |
(neg.f64 (*.f64 z y)) |
(*.f64 z (neg.f64 y)) |
(-.f64 (*.f64 y x) (*.f64 y z)) |
(*.f64 (-.f64 x z) y) |
(*.f64 y (-.f64 x z)) |
(-.f64 (*.f64 y x) (*.f64 y z)) |
(*.f64 (-.f64 x z) y) |
(*.f64 y (-.f64 x z)) |
(-.f64 (*.f64 y x) (*.f64 y z)) |
(*.f64 (-.f64 x z) y) |
(*.f64 y (-.f64 x z)) |
(*.f64 y x) |
(*.f64 x y) |
(-.f64 (*.f64 y x) (*.f64 y z)) |
(*.f64 (-.f64 x z) y) |
(*.f64 y (-.f64 x z)) |
(-.f64 (*.f64 y x) (*.f64 y z)) |
(*.f64 (-.f64 x z) y) |
(*.f64 y (-.f64 x z)) |
(-.f64 (*.f64 y x) (*.f64 y z)) |
(*.f64 (-.f64 x z) y) |
(*.f64 y (-.f64 x z)) |
(*.f64 y x) |
(*.f64 x y) |
(-.f64 (*.f64 y x) (*.f64 y z)) |
(*.f64 (-.f64 x z) y) |
(*.f64 y (-.f64 x z)) |
(-.f64 (*.f64 y x) (*.f64 y z)) |
(*.f64 (-.f64 x z) y) |
(*.f64 y (-.f64 x z)) |
(-.f64 (*.f64 y x) (*.f64 y z)) |
(*.f64 (-.f64 x z) y) |
(*.f64 y (-.f64 x z)) |
(*.f64 y x) |
(*.f64 x y) |
(-.f64 (*.f64 y x) (*.f64 y z)) |
(*.f64 (-.f64 x z) y) |
(*.f64 y (-.f64 x z)) |
(-.f64 (*.f64 y x) (*.f64 y z)) |
(*.f64 (-.f64 x z) y) |
(*.f64 y (-.f64 x z)) |
(-.f64 (*.f64 y x) (*.f64 y z)) |
(*.f64 (-.f64 x z) y) |
(*.f64 y (-.f64 x z)) |
(*.f64 -1 (*.f64 y z)) |
(neg.f64 (*.f64 z y)) |
(*.f64 z (neg.f64 y)) |
(-.f64 (*.f64 y x) (*.f64 y z)) |
(*.f64 (-.f64 x z) y) |
(*.f64 y (-.f64 x z)) |
(-.f64 (*.f64 y x) (*.f64 y z)) |
(*.f64 (-.f64 x z) y) |
(*.f64 y (-.f64 x z)) |
(-.f64 (*.f64 y x) (*.f64 y z)) |
(*.f64 (-.f64 x z) y) |
(*.f64 y (-.f64 x z)) |
(*.f64 -1 (*.f64 y z)) |
(neg.f64 (*.f64 z y)) |
(*.f64 z (neg.f64 y)) |
(-.f64 (*.f64 y x) (*.f64 y z)) |
(*.f64 (-.f64 x z) y) |
(*.f64 y (-.f64 x z)) |
(-.f64 (*.f64 y x) (*.f64 y z)) |
(*.f64 (-.f64 x z) y) |
(*.f64 y (-.f64 x z)) |
(-.f64 (*.f64 y x) (*.f64 y z)) |
(*.f64 (-.f64 x z) y) |
(*.f64 y (-.f64 x z)) |
2 alts after pruning (0 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 30 | 0 | 30 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 1 | 1 |
| Total | 30 | 2 | 32 |
| Status | Error | Program |
|---|---|---|
| ✓ | 0.0b | (*.f64 y (-.f64 x z)) |
| ✓ | 0.0b | (fma.f64 y x (*.f64 z (neg.f64 y))) |
Compiled 307 to 94 computations (69.4% saved)
Total 0.0b remaining (75%)
Threshold costs 0.0b (75%)
Compiled 85 to 37 computations (56.5% saved)
| 1× | egg-herbie |
| 5× | *-commutative_binary64 |
| 3× | +-commutative_binary64 |
| 3× | sub-neg_binary64 |
| 3× | neg-sub0_binary64 |
| 3× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 10 |
| 1 | 14 | 10 |
| 2 | 22 | 10 |
| 3 | 28 | 10 |
| 4 | 31 | 10 |
| 5 | 32 | 10 |
| 1× | saturated |
| Inputs |
|---|
(fma.f64 y x (*.f64 z (neg.f64 y))) |
| Outputs |
|---|
(fma.f64 y x (*.f64 z (neg.f64 y))) |
(fma.f64 y x (*.f64 y (neg.f64 z))) |
| 1× | done |
Compiled 38 to 23 computations (39.5% saved)
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