Time bar (total: 3.0s)
| 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 |
| 34.3% | 65.5% | 0.1% | 9 |
| 39% | 60.8% | 0.1% | 10 |
| 41.3% | 58.5% | 0.1% | 11 |
| 52.7% | 47.2% | 0.1% | 12 |
| 54% | 45.7% | 0.2% | 13 |
| 55.3% | 43.8% | 0.9% | 14 |
Compiled 19 to 10 computations (47.4% saved)
| 634.0ms | 6024× | body | 128 | valid |
| 273.0ms | 856× | body | 1024 | valid |
| 190.0ms | 484× | body | 2048 | valid |
| 170.0ms | 563× | body | 512 | valid |
| 158.0ms | 1458× | body | 128 | invalid |
| 74.0ms | 316× | body | 512 | invalid |
| 57.0ms | 182× | body | 1024 | invalid |
| 55.0ms | 329× | body | 256 | valid |
| 42.0ms | 204× | body | 256 | invalid |
Compiled 38 to 20 computations (47.4% saved)
| 2× | egg-herbie |
| 925× | fma-neg_binary64 |
| 476× | fma-def_binary64 |
| 298× | cancel-sign-sub_binary64 |
| 285× | sub-neg_binary64 |
| 192× | distribute-lft-out_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 24 | 70 |
| 1 | 96 | 58 |
| 2 | 319 | 52 |
| 3 | 953 | 28 |
| 4 | 2478 | 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 y)) (*.f64 y z)) (*.f64 y y)) |
(-.f64 (-.f64 (+.f64 (*.f64 y x) (*.f64 x x)) (*.f64 x z)) (*.f64 x x)) |
(-.f64 (-.f64 (+.f64 (*.f64 z y) (*.f64 y y)) (*.f64 y x)) (*.f64 y y)) |
(-.f64 (-.f64 (+.f64 (*.f64 x z) (*.f64 z z)) (*.f64 z y)) (*.f64 z z)) |
| Outputs |
|---|
(-.f64 (-.f64 (+.f64 (*.f64 x y) (*.f64 y y)) (*.f64 y z)) (*.f64 y y)) |
(-.f64 (*.f64 y (+.f64 x y)) (*.f64 y (+.f64 z y))) |
(*.f64 y (-.f64 (+.f64 x y) (+.f64 y z))) |
(*.f64 y (-.f64 (-.f64 (+.f64 x y) y) z)) |
(*.f64 y (-.f64 x z)) |
(-.f64 (-.f64 (+.f64 (*.f64 y x) (*.f64 x x)) (*.f64 x z)) (*.f64 x x)) |
(-.f64 (*.f64 x (+.f64 y x)) (+.f64 (*.f64 x z) (*.f64 x x))) |
(-.f64 (*.f64 x (+.f64 x y)) (*.f64 x (+.f64 x z))) |
(*.f64 x (-.f64 (+.f64 x y) (+.f64 x z))) |
(*.f64 x (-.f64 y z)) |
(-.f64 (-.f64 (+.f64 (*.f64 z y) (*.f64 y y)) (*.f64 y x)) (*.f64 y y)) |
(-.f64 (*.f64 y (+.f64 z y)) (*.f64 y (+.f64 x y))) |
(*.f64 y (-.f64 (+.f64 y z) (+.f64 x y))) |
(*.f64 y (+.f64 y (-.f64 z (+.f64 x y)))) |
(*.f64 y (-.f64 z x)) |
(-.f64 (-.f64 (+.f64 (*.f64 x z) (*.f64 z z)) (*.f64 z y)) (*.f64 z z)) |
(-.f64 (*.f64 z (+.f64 x z)) (+.f64 (*.f64 y z) (*.f64 z z))) |
(-.f64 (*.f64 z (+.f64 x z)) (*.f64 z (+.f64 y z))) |
(*.f64 z (-.f64 (+.f64 x z) (+.f64 y z))) |
(*.f64 z (-.f64 x y)) |
Compiled 18 to 9 computations (50% saved)
| 1× | egg-herbie |
| 430× | unsub-neg_binary64 |
| 302× | distribute-rgt-out_binary64 |
| 293× | distribute-rgt-out--_binary64 |
| 291× | fma-def_binary64 |
| 229× | distribute-rgt-in_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 19 |
| 1 | 29 | 16 |
| 2 | 89 | 13 |
| 3 | 256 | 7 |
| 4 | 696 | 7 |
| 5 | 2325 | 7 |
| 6 | 4054 | 7 |
| 7 | 4488 | 7 |
| 8 | 4972 | 7 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (-.f64 (+.f64 (*.f64 x y) (*.f64 y y)) (*.f64 y z)) (*.f64 y y)) |
| Outputs |
|---|
(-.f64 (-.f64 (+.f64 (*.f64 x y) (*.f64 y y)) (*.f64 y z)) (*.f64 y y)) |
(-.f64 (*.f64 y (+.f64 x y)) (+.f64 (*.f64 y z) (*.f64 y y))) |
(-.f64 (*.f64 y (+.f64 x y)) (*.f64 y (+.f64 z y))) |
(*.f64 y (-.f64 (+.f64 x y) (+.f64 y z))) |
(*.f64 y (-.f64 x z)) |
1 alts after pruning (1 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 | 1 | 2 |
| Fresh | 1 | 0 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 0 | 0 |
| Total | 2 | 1 | 3 |
| Status | Error | Program |
|---|---|---|
| ▶ | 0.0b | (*.f64 y (-.f64 x z)) |
Compiled 39 to 21 computations (46.2% 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 | y | @ | inf | (*.f64 y (-.f64 x z)) |
| 1.0ms | x | @ | 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 expm1.f64 (log1p.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 exp.f64 (log.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 (3 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 23 | 3 | 26 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 24 | 3 | 27 |
| Status | Error | Program |
|---|---|---|
| 51.7b | (cbrt.f64 (*.f64 (pow.f64 y 3) (pow.f64 (-.f64 x z) 3))) | |
| 27.7b | (/.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 z z)) y) (+.f64 x z)) | |
| ▶ | 0.0b | (-.f64 (*.f64 y x) (*.f64 y z)) |
Compiled 300 to 138 computations (54% 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 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))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 y (-.f64 x z))))))) (#(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)))))) |
| 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)) |
3 alts after pruning (2 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 58 | 2 | 60 |
| Fresh | 2 | 0 | 2 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 60 | 3 | 63 |
| Status | Error | Program |
|---|---|---|
| ✓ | 0.0b | (-.f64 (*.f64 y x) (*.f64 y z)) |
| ▶ | 0.2b | (fma.f64 y (-.f64 x z) (fma.f64 (neg.f64 z) y (*.f64 y z))) |
| 31.8b | (*.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (-.f64 x z))) |
Compiled 921 to 246 computations (73.3% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (fma.f64 y (-.f64 x z) (fma.f64 (neg.f64 z) y (*.f64 y z))) |
| ✓ | 51.5b | (fma.f64 (neg.f64 z) y (*.f64 y z)) |
15 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | y | @ | 0 | (fma.f64 y (-.f64 x z) (fma.f64 (neg.f64 z) y (*.f64 y z))) |
| 1.0ms | y | @ | -inf | (fma.f64 (neg.f64 z) y (*.f64 y z)) |
| 1.0ms | y | @ | inf | (fma.f64 (neg.f64 z) y (*.f64 y z)) |
| 1.0ms | z | @ | inf | (fma.f64 (neg.f64 z) y (*.f64 y z)) |
| 1.0ms | z | @ | 0 | (fma.f64 (neg.f64 z) y (*.f64 y z)) |
| 1× | batch-egg-rewrite |
| 845× | log1p-expm1-u_binary64 |
| 845× | expm1-log1p-u_binary64 |
| 103× | add-sqr-sqrt_binary64 |
| 100× | *-un-lft-identity_binary64 |
| 100× | pow1_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 27 |
| 1 | 193 | 21 |
| 2 | 2678 | 21 |
| 1× | node limit |
| Inputs |
|---|
(fma.f64 (neg.f64 z) y (*.f64 y z)) |
(fma.f64 y (-.f64 x z) (fma.f64 (neg.f64 z) y (*.f64 y z))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 z y) (*.f64 z y))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 y (+.f64 z z)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (+.f64 z z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y (+.f64 z z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 y (+.f64 z z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 y (+.f64 z z))) (pow.f64 (cbrt.f64 (*.f64 y (+.f64 z z))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 y (+.f64 z z))) 2) (cbrt.f64 (*.f64 y (+.f64 z z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 y (+.f64 z z))) (sqrt.f64 (*.f64 y (+.f64 z z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 z y) 3) (pow.f64 (*.f64 z y) 3)) (+.f64 (pow.f64 (*.f64 z y) 2) (-.f64 (pow.f64 (*.f64 z y) 2) (pow.f64 (*.f64 z y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 z y) 2) (pow.f64 (*.f64 z y) 2)) (-.f64 (*.f64 z y) (*.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y (+.f64 z z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 y (+.f64 z z)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 y (+.f64 z z))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 y (+.f64 z z))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 y (+.f64 z z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 y (+.f64 z z))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 y (+.f64 z z)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 y (+.f64 z z)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 y (+.f64 z z))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 y (+.f64 z z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 y (+.f64 z z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 y (+.f64 z z))) 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y (+.f64 z z)) (*.f64 y (+.f64 z x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y (+.f64 z x)) (*.f64 y (+.f64 z z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 y (+.f64 z x)) 1) (*.f64 y (+.f64 z z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 y (+.f64 z x)) (*.f64 z y)) (*.f64 z y))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 y (+.f64 z x) (*.f64 y (+.f64 z z))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 y (+.f64 z x) (*.f64 y (+.f64 z z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 y (+.f64 z x) (*.f64 y (+.f64 z z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 y (+.f64 z x) (*.f64 y (+.f64 z z)))) (pow.f64 (cbrt.f64 (fma.f64 y (+.f64 z x) (*.f64 y (+.f64 z z)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 y (+.f64 z x) (*.f64 y (+.f64 z z)))) 2) (cbrt.f64 (fma.f64 y (+.f64 z x) (*.f64 y (+.f64 z z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 y (+.f64 z x) (*.f64 y (+.f64 z z)))) (sqrt.f64 (fma.f64 y (+.f64 z x) (*.f64 y (+.f64 z z)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 y (+.f64 z x)) 3) (pow.f64 (*.f64 y (+.f64 z z)) 3)) (+.f64 (*.f64 (*.f64 y (+.f64 z x)) (*.f64 y (+.f64 z x))) (-.f64 (pow.f64 (*.f64 y (+.f64 z z)) 2) (*.f64 (*.f64 y (+.f64 z x)) (*.f64 y (+.f64 z z))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 y (+.f64 z x)) (*.f64 y (+.f64 z x))) (pow.f64 (*.f64 y (+.f64 z z)) 2)) (-.f64 (*.f64 y (+.f64 z x)) (*.f64 y (+.f64 z z))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 y (+.f64 z x) (*.f64 y (+.f64 z z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 y (+.f64 z x) (*.f64 y (+.f64 z z))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 y (+.f64 z x) (*.f64 y (+.f64 z z)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 y (+.f64 z x) (*.f64 y (+.f64 z z)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 y (+.f64 z x) (*.f64 y (+.f64 z z))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 y (+.f64 z x) (*.f64 y (+.f64 z z)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 y (+.f64 z x) (*.f64 y (+.f64 z z))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 y (+.f64 z x) (*.f64 y (+.f64 z z))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 y (+.f64 z x) (*.f64 y (+.f64 z z)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 y (+.f64 z x) (*.f64 y (+.f64 z z)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 y (+.f64 z x) (*.f64 y (+.f64 z z)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 y (+.f64 z x) (*.f64 y (+.f64 z z)))) 1)))))) |
| 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 | 15 | 264 |
| 1 | 35 | 264 |
| 2 | 73 | 264 |
| 3 | 161 | 264 |
| 4 | 295 | 264 |
| 5 | 462 | 264 |
| 6 | 596 | 264 |
| 7 | 682 | 264 |
| 8 | 684 | 264 |
| 1× | saturated |
| Inputs |
|---|
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
(*.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 |
|---|
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
(*.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)) |
3 alts after pruning (1 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 55 | 0 | 55 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 1 | 1 |
| Total | 55 | 3 | 58 |
| Status | Error | Program |
|---|---|---|
| ✓ | 0.0b | (-.f64 (*.f64 y x) (*.f64 y z)) |
| ✓ | 0.2b | (fma.f64 y (-.f64 x z) (fma.f64 (neg.f64 z) y (*.f64 y z))) |
| ▶ | 31.8b | (*.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (-.f64 x z))) |
Compiled 818 to 214 computations (73.8% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.1b | (*.f64 (sqrt.f64 y) (-.f64 x z)) |
| ✓ | 0.2b | (*.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (-.f64 x z))) |
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | y | @ | -inf | (*.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (-.f64 x z))) |
| 1.0ms | y | @ | 0 | (*.f64 (sqrt.f64 y) (-.f64 x z)) |
| 1.0ms | y | @ | inf | (*.f64 (sqrt.f64 y) (-.f64 x z)) |
| 1.0ms | y | @ | -inf | (*.f64 (sqrt.f64 y) (-.f64 x z)) |
| 1.0ms | x | @ | 0 | (*.f64 (sqrt.f64 y) (-.f64 x z)) |
| 1× | batch-egg-rewrite |
| 843× | log1p-expm1-u_binary64 |
| 843× | expm1-log1p-u_binary64 |
| 89× | add-sqr-sqrt_binary64 |
| 87× | *-un-lft-identity_binary64 |
| 87× | pow1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 16 |
| 1 | 170 | 16 |
| 2 | 2283 | 16 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (-.f64 x z))) |
(*.f64 (sqrt.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 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 y 3/2) (pow.f64 (*.f64 (sqrt.f64 y) (-.f64 x z)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 (sqrt.f64 y) (-.f64 x z)) 3) (pow.f64 y 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.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 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 +.f64 (*.f64 x (sqrt.f64 y)) (*.f64 (neg.f64 z) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 y) x) (*.f64 (sqrt.f64 y) (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 y) (-.f64 x z)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 x 3) (pow.f64 z 3)) (sqrt.f64 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)) (sqrt.f64 y)) (+.f64 x z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.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 (sqrt.f64 y) (-.f64 (*.f64 x x) (*.f64 z z))) (+.f64 x z))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 y) (-.f64 x z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sqrt.f64 y) (-.f64 x z)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 y) (-.f64 x z))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 y) (-.f64 x z))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 y (pow.f64 (-.f64 x z) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (-.f64 x z)) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (sqrt.f64 y) (-.f64 x z)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 y) (-.f64 x z)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 y 3/2) (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 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 y) (-.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 y) (-.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (sqrt.f64 y) (-.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 y) (-.f64 x z))) 1)))))) |
| 1× | egg-herbie |
| 315× | fma-def_binary64 |
| 218× | fma-neg_binary64 |
| 72× | cancel-sign-sub-inv_binary64 |
| 55× | distribute-rgt-in_binary64 |
| 42× | sub-neg_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 16 | 416 |
| 1 | 42 | 416 |
| 2 | 74 | 416 |
| 3 | 114 | 416 |
| 4 | 172 | 416 |
| 5 | 293 | 416 |
| 6 | 500 | 416 |
| 7 | 735 | 416 |
| 8 | 1063 | 416 |
| 9 | 1171 | 416 |
| 10 | 1183 | 416 |
| 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 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)) |
(*.f64 -1 (*.f64 (sqrt.f64 y) z)) |
(-.f64 (*.f64 (sqrt.f64 y) x) (*.f64 (sqrt.f64 y) z)) |
(-.f64 (*.f64 (sqrt.f64 y) x) (*.f64 (sqrt.f64 y) z)) |
(-.f64 (*.f64 (sqrt.f64 y) x) (*.f64 (sqrt.f64 y) z)) |
(*.f64 (sqrt.f64 y) x) |
(-.f64 (*.f64 (sqrt.f64 y) x) (*.f64 (sqrt.f64 y) z)) |
(-.f64 (*.f64 (sqrt.f64 y) x) (*.f64 (sqrt.f64 y) z)) |
(-.f64 (*.f64 (sqrt.f64 y) x) (*.f64 (sqrt.f64 y) z)) |
(*.f64 (sqrt.f64 y) x) |
(-.f64 (*.f64 (sqrt.f64 y) x) (*.f64 (sqrt.f64 y) z)) |
(-.f64 (*.f64 (sqrt.f64 y) x) (*.f64 (sqrt.f64 y) z)) |
(-.f64 (*.f64 (sqrt.f64 y) x) (*.f64 (sqrt.f64 y) z)) |
(*.f64 (sqrt.f64 y) x) |
(-.f64 (*.f64 (sqrt.f64 y) x) (*.f64 (sqrt.f64 y) z)) |
(-.f64 (*.f64 (sqrt.f64 y) x) (*.f64 (sqrt.f64 y) z)) |
(-.f64 (*.f64 (sqrt.f64 y) x) (*.f64 (sqrt.f64 y) z)) |
(*.f64 -1 (*.f64 (sqrt.f64 y) z)) |
(-.f64 (*.f64 (sqrt.f64 y) x) (*.f64 (sqrt.f64 y) z)) |
(-.f64 (*.f64 (sqrt.f64 y) x) (*.f64 (sqrt.f64 y) z)) |
(-.f64 (*.f64 (sqrt.f64 y) x) (*.f64 (sqrt.f64 y) z)) |
(*.f64 -1 (*.f64 (sqrt.f64 y) z)) |
(-.f64 (*.f64 (sqrt.f64 y) x) (*.f64 (sqrt.f64 y) z)) |
(-.f64 (*.f64 (sqrt.f64 y) x) (*.f64 (sqrt.f64 y) z)) |
(-.f64 (*.f64 (sqrt.f64 y) x) (*.f64 (sqrt.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 -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) |
(*.f64 -1 (*.f64 (sqrt.f64 y) z)) |
(neg.f64 (*.f64 z (sqrt.f64 y))) |
(*.f64 z (neg.f64 (sqrt.f64 y))) |
(-.f64 (*.f64 (sqrt.f64 y) x) (*.f64 (sqrt.f64 y) z)) |
(*.f64 (sqrt.f64 y) (-.f64 x z)) |
(*.f64 (-.f64 x z) (sqrt.f64 y)) |
(-.f64 (*.f64 (sqrt.f64 y) x) (*.f64 (sqrt.f64 y) z)) |
(*.f64 (sqrt.f64 y) (-.f64 x z)) |
(*.f64 (-.f64 x z) (sqrt.f64 y)) |
(-.f64 (*.f64 (sqrt.f64 y) x) (*.f64 (sqrt.f64 y) z)) |
(*.f64 (sqrt.f64 y) (-.f64 x z)) |
(*.f64 (-.f64 x z) (sqrt.f64 y)) |
(*.f64 (sqrt.f64 y) x) |
(*.f64 x (sqrt.f64 y)) |
(-.f64 (*.f64 (sqrt.f64 y) x) (*.f64 (sqrt.f64 y) z)) |
(*.f64 (sqrt.f64 y) (-.f64 x z)) |
(*.f64 (-.f64 x z) (sqrt.f64 y)) |
(-.f64 (*.f64 (sqrt.f64 y) x) (*.f64 (sqrt.f64 y) z)) |
(*.f64 (sqrt.f64 y) (-.f64 x z)) |
(*.f64 (-.f64 x z) (sqrt.f64 y)) |
(-.f64 (*.f64 (sqrt.f64 y) x) (*.f64 (sqrt.f64 y) z)) |
(*.f64 (sqrt.f64 y) (-.f64 x z)) |
(*.f64 (-.f64 x z) (sqrt.f64 y)) |
(*.f64 (sqrt.f64 y) x) |
(*.f64 x (sqrt.f64 y)) |
(-.f64 (*.f64 (sqrt.f64 y) x) (*.f64 (sqrt.f64 y) z)) |
(*.f64 (sqrt.f64 y) (-.f64 x z)) |
(*.f64 (-.f64 x z) (sqrt.f64 y)) |
(-.f64 (*.f64 (sqrt.f64 y) x) (*.f64 (sqrt.f64 y) z)) |
(*.f64 (sqrt.f64 y) (-.f64 x z)) |
(*.f64 (-.f64 x z) (sqrt.f64 y)) |
(-.f64 (*.f64 (sqrt.f64 y) x) (*.f64 (sqrt.f64 y) z)) |
(*.f64 (sqrt.f64 y) (-.f64 x z)) |
(*.f64 (-.f64 x z) (sqrt.f64 y)) |
(*.f64 (sqrt.f64 y) x) |
(*.f64 x (sqrt.f64 y)) |
(-.f64 (*.f64 (sqrt.f64 y) x) (*.f64 (sqrt.f64 y) z)) |
(*.f64 (sqrt.f64 y) (-.f64 x z)) |
(*.f64 (-.f64 x z) (sqrt.f64 y)) |
(-.f64 (*.f64 (sqrt.f64 y) x) (*.f64 (sqrt.f64 y) z)) |
(*.f64 (sqrt.f64 y) (-.f64 x z)) |
(*.f64 (-.f64 x z) (sqrt.f64 y)) |
(-.f64 (*.f64 (sqrt.f64 y) x) (*.f64 (sqrt.f64 y) z)) |
(*.f64 (sqrt.f64 y) (-.f64 x z)) |
(*.f64 (-.f64 x z) (sqrt.f64 y)) |
(*.f64 -1 (*.f64 (sqrt.f64 y) z)) |
(neg.f64 (*.f64 z (sqrt.f64 y))) |
(*.f64 z (neg.f64 (sqrt.f64 y))) |
(-.f64 (*.f64 (sqrt.f64 y) x) (*.f64 (sqrt.f64 y) z)) |
(*.f64 (sqrt.f64 y) (-.f64 x z)) |
(*.f64 (-.f64 x z) (sqrt.f64 y)) |
(-.f64 (*.f64 (sqrt.f64 y) x) (*.f64 (sqrt.f64 y) z)) |
(*.f64 (sqrt.f64 y) (-.f64 x z)) |
(*.f64 (-.f64 x z) (sqrt.f64 y)) |
(-.f64 (*.f64 (sqrt.f64 y) x) (*.f64 (sqrt.f64 y) z)) |
(*.f64 (sqrt.f64 y) (-.f64 x z)) |
(*.f64 (-.f64 x z) (sqrt.f64 y)) |
(*.f64 -1 (*.f64 (sqrt.f64 y) z)) |
(neg.f64 (*.f64 z (sqrt.f64 y))) |
(*.f64 z (neg.f64 (sqrt.f64 y))) |
(-.f64 (*.f64 (sqrt.f64 y) x) (*.f64 (sqrt.f64 y) z)) |
(*.f64 (sqrt.f64 y) (-.f64 x z)) |
(*.f64 (-.f64 x z) (sqrt.f64 y)) |
(-.f64 (*.f64 (sqrt.f64 y) x) (*.f64 (sqrt.f64 y) z)) |
(*.f64 (sqrt.f64 y) (-.f64 x z)) |
(*.f64 (-.f64 x z) (sqrt.f64 y)) |
(-.f64 (*.f64 (sqrt.f64 y) x) (*.f64 (sqrt.f64 y) z)) |
(*.f64 (sqrt.f64 y) (-.f64 x z)) |
(*.f64 (-.f64 x z) (sqrt.f64 y)) |
3 alts after pruning (0 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 53 | 0 | 53 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 2 | 2 |
| Total | 53 | 3 | 56 |
| Status | Error | Program |
|---|---|---|
| ✓ | 0.0b | (-.f64 (*.f64 y x) (*.f64 y z)) |
| ✓ | 0.2b | (fma.f64 y (-.f64 x z) (fma.f64 (neg.f64 z) y (*.f64 y z))) |
| ✓ | 31.8b | (*.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (-.f64 x z))) |
Compiled 589 to 218 computations (63% saved)
Total 0.0b remaining (73.3%)
Threshold costs 0.0b (73.3%)
Compiled 168 to 68 computations (59.5% saved)
| 1× | egg-herbie |
| 5× | *-commutative_binary64 |
| 4× | +-commutative_binary64 |
| 4× | 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 | 26 | 10 |
| 3 | 32 | 10 |
| 4 | 36 | 10 |
| 5 | 37 | 10 |
| 1× | saturated |
| Inputs |
|---|
(-.f64 (*.f64 y x) (*.f64 y z)) |
| Outputs |
|---|
(-.f64 (*.f64 y x) (*.f64 y z)) |
| 1× | done |
Compiled 57 to 33 computations (42.1% saved)
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