Time bar (total: 5.0s)
| 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 |
| 28.1% | 71.8% | 0.1% | 9 |
| 34.3% | 59.3% | 6.4% | 10 |
| 40.6% | 51.3% | 8.1% | 11 |
| 48% | 43.2% | 8.8% | 12 |
Compiled 11 to 7 computations (36.4% saved)
| 1.8s | 8256× | body | 256 | valid |
| 259.0ms | 1235× | body | 256 | invalid |
| 2× | egg-herbie |
| 865× | fma-neg_binary64 |
| 384× | fma-def_binary64 |
| 156× | unsub-neg_binary64 |
| 141× | distribute-rgt-in_binary64 |
| 108× | cancel-sign-sub-inv_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 16 | 40 |
| 1 | 31 | 32 |
| 2 | 73 | 32 |
| 3 | 176 | 32 |
| 4 | 317 | 32 |
| 5 | 652 | 32 |
| 6 | 1270 | 32 |
| 7 | 2023 | 32 |
| 8 | 2752 | 32 |
| 9 | 2915 | 32 |
| 10 | 2943 | 32 |
| 11 | 2943 | 32 |
| 0 | 3 | 3 |
| 1× | saturated |
| 1× | saturated |
| Inputs |
|---|
0 |
1 |
2 |
| Outputs |
|---|
0 |
1 |
2 |
| Inputs |
|---|
(+.f64 x (*.f64 (-.f64 y x) z)) |
(+.f64 y (*.f64 (-.f64 x y) z)) |
(+.f64 z (*.f64 (-.f64 y z) x)) |
(+.f64 x (*.f64 (-.f64 z x) y)) |
| Outputs |
|---|
(+.f64 x (*.f64 (-.f64 y x) z)) |
(fma.f64 (-.f64 y x) z x) |
(+.f64 y (*.f64 (-.f64 x y) z)) |
(+.f64 y (*.f64 z (-.f64 x y))) |
(fma.f64 z (-.f64 x y) y) |
(+.f64 z (*.f64 (-.f64 y z) x)) |
(+.f64 z (*.f64 x (-.f64 y z))) |
(fma.f64 x (-.f64 y z) z) |
(+.f64 x (*.f64 (-.f64 z x) y)) |
(+.f64 x (*.f64 y (-.f64 z x))) |
(fma.f64 y (-.f64 z x) x) |
Compiled 13 to 9 computations (30.8% saved)
| 1× | egg-herbie |
| 272× | fma-def_binary64 |
| 251× | fma-neg_binary64 |
| 71× | cancel-sign-sub-inv_binary64 |
| 54× | distribute-rgt-in_binary64 |
| 41× | sub-neg_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 10 |
| 1 | 11 | 8 |
| 2 | 24 | 8 |
| 3 | 52 | 8 |
| 4 | 100 | 8 |
| 5 | 171 | 8 |
| 6 | 283 | 8 |
| 7 | 482 | 8 |
| 8 | 873 | 8 |
| 9 | 1114 | 8 |
| 10 | 1214 | 8 |
| 11 | 1221 | 8 |
| 1× | saturated |
| Inputs |
|---|
(+.f64 x (*.f64 (-.f64 y x) z)) |
| Outputs |
|---|
(+.f64 x (*.f64 (-.f64 y x) z)) |
(fma.f64 (-.f64 y x) z x) |
Compiled 16 to 7 computations (56.3% saved)
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 x (*.f64 (-.f64 y x) z)) |
| ▶ | 0.0b | (fma.f64 (-.f64 y x) z x) |
Compiled 19 to 11 computations (42.1% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (*.f64 (-.f64 y x) z) |
| ✓ | 0.0b | (+.f64 x (*.f64 (-.f64 y x) z)) |
Compiled 21 to 6 computations (71.4% saved)
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | -inf | (+.f64 x (*.f64 (-.f64 y x) z)) |
| 1.0ms | x | @ | inf | (+.f64 x (*.f64 (-.f64 y x) z)) |
| 1.0ms | x | @ | 0 | (+.f64 x (*.f64 (-.f64 y x) z)) |
| 1.0ms | z | @ | inf | (+.f64 x (*.f64 (-.f64 y x) z)) |
| 1.0ms | x | @ | -inf | (+.f64 x (*.f64 (-.f64 y x) z)) |
| 1× | batch-egg-rewrite |
| 969× | pow1_binary64 |
| 901× | add-log-exp_binary64 |
| 901× | log1p-expm1-u_binary64 |
| 901× | expm1-log1p-u_binary64 |
| 87× | add-sqr-sqrt_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 17 |
| 1 | 158 | 15 |
| 2 | 2370 | 15 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 x (*.f64 (-.f64 y x) z)) |
(*.f64 (-.f64 y x) z) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (-.f64 y x) z x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 (-.f64 y x) z))) (/.f64 (pow.f64 (*.f64 (-.f64 y x) z) 2) (-.f64 x (*.f64 (-.f64 y x) z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (-.f64 y x) z x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (-.f64 y x) z x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (-.f64 y x) z x)) (pow.f64 (cbrt.f64 (fma.f64 (-.f64 y x) z x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 (-.f64 y x) z x)) 2) (cbrt.f64 (fma.f64 (-.f64 y x) z x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (-.f64 y x) z x)) (sqrt.f64 (fma.f64 (-.f64 y x) z x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 (-.f64 y x) z) 3)) (/.f64 1 (fma.f64 x x (*.f64 (*.f64 (-.f64 y x) z) (-.f64 (*.f64 (-.f64 y x) z) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (-.f64 y x) z) 2)) (/.f64 1 (-.f64 x (*.f64 (-.f64 y x) z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x x (*.f64 (*.f64 (-.f64 y x) z) (-.f64 (*.f64 (-.f64 y x) z) x))) (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 (-.f64 y x) z) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 x (*.f64 (-.f64 y x) z)) (-.f64 (*.f64 x x) (pow.f64 (*.f64 (-.f64 y x) z) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 (-.f64 y x) z) 3)) (fma.f64 x x (*.f64 (*.f64 (-.f64 y x) z) (-.f64 (*.f64 (-.f64 y x) z) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 (-.f64 y x) z) 3)) (+.f64 (pow.f64 (*.f64 (-.f64 y x) z) 2) (-.f64 (*.f64 x x) (*.f64 x (*.f64 (-.f64 y x) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (-.f64 y x) z) 2)) (-.f64 x (*.f64 (-.f64 y x) z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 (-.f64 y x) z) 3))) (neg.f64 (fma.f64 x x (*.f64 (*.f64 (-.f64 y x) z) (-.f64 (*.f64 (-.f64 y x) z) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (-.f64 y x) z) 2))) (neg.f64 (-.f64 x (*.f64 (-.f64 y x) z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 (-.f64 y x) z) 2) (*.f64 x x)) (-.f64 (*.f64 (-.f64 y x) z) x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (-.f64 y x) z x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (-.f64 y x) z x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (-.f64 y x) z x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (-.f64 y x) z x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (-.f64 y x) z x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 (-.f64 y x) z x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 (-.f64 y x) z x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (-.f64 y x) z x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (-.f64 y x) z x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (-.f64 y x) z x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (-.f64 y x) z x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 y x) z x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 z (-.f64 y x) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (*.f64 (-.f64 y x) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 (-.f64 y x) z) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 y x) z)) 2) (cbrt.f64 (*.f64 (-.f64 y x) z)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 (-.f64 y x) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 (-.f64 y x) z)) (sqrt.f64 (*.f64 (-.f64 y x) z)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (-.f64 y x) z)))))) |
((#(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 (exp.f64 (log1p.f64 (*.f64 (-.f64 y x) z))) 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 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 y y) (*.f64 x x)) z) (+.f64 x y))))) (#(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 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 z (-.f64 (*.f64 y y) (*.f64 x x))) (+.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (-.f64 y x) z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (-.f64 y x) z)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (-.f64 y x) z)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (-.f64 y x) z) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (-.f64 y x) z) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 z) (-.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 y x) z))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (-.f64 y x) z) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (-.f64 y x) z)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (-.f64 y x) z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (-.f64 y x) z))))))) |
| 1× | egg-herbie |
| 407× | fma-def_binary64 |
| 300× | fma-neg_binary64 |
| 64× | cancel-sign-sub-inv_binary64 |
| 60× | distribute-rgt-in_binary64 |
| 42× | associate--r+_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 23 | 531 |
| 1 | 58 | 420 |
| 2 | 111 | 420 |
| 3 | 220 | 420 |
| 4 | 381 | 420 |
| 5 | 689 | 420 |
| 6 | 1070 | 420 |
| 7 | 1309 | 420 |
| 8 | 1428 | 420 |
| 9 | 1430 | 420 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 y z) |
(+.f64 (*.f64 y z) (*.f64 (+.f64 (*.f64 -1 z) 1) x)) |
(+.f64 (*.f64 y z) (*.f64 (+.f64 (*.f64 -1 z) 1) x)) |
(+.f64 (*.f64 y z) (*.f64 (+.f64 (*.f64 -1 z) 1) x)) |
(*.f64 (+.f64 (*.f64 -1 z) 1) x) |
(+.f64 (*.f64 y z) (*.f64 (+.f64 (*.f64 -1 z) 1) x)) |
(+.f64 (*.f64 y z) (*.f64 (+.f64 (*.f64 -1 z) 1) x)) |
(+.f64 (*.f64 y z) (*.f64 (+.f64 (*.f64 -1 z) 1) x)) |
(*.f64 -1 (*.f64 (-.f64 z 1) x)) |
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 (-.f64 z 1) x))) |
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 (-.f64 z 1) x))) |
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 (-.f64 z 1) x))) |
(+.f64 (*.f64 -1 (*.f64 z x)) x) |
(+.f64 (*.f64 y z) (+.f64 (*.f64 -1 (*.f64 z x)) x)) |
(+.f64 (*.f64 y z) (+.f64 (*.f64 -1 (*.f64 z x)) x)) |
(+.f64 (*.f64 y z) (+.f64 (*.f64 -1 (*.f64 z x)) x)) |
(*.f64 y z) |
(+.f64 (*.f64 y z) (+.f64 (*.f64 -1 (*.f64 z x)) x)) |
(+.f64 (*.f64 y z) (+.f64 (*.f64 -1 (*.f64 z x)) x)) |
(+.f64 (*.f64 y z) (+.f64 (*.f64 -1 (*.f64 z x)) x)) |
(*.f64 y z) |
(+.f64 (*.f64 y z) (+.f64 (*.f64 -1 (*.f64 z x)) x)) |
(+.f64 (*.f64 y z) (+.f64 (*.f64 -1 (*.f64 z x)) x)) |
(+.f64 (*.f64 y z) (+.f64 (*.f64 -1 (*.f64 z x)) x)) |
x |
(+.f64 (*.f64 (-.f64 y x) z) x) |
(+.f64 (*.f64 (-.f64 y x) z) x) |
(+.f64 (*.f64 (-.f64 y x) z) x) |
(*.f64 (-.f64 y x) z) |
(+.f64 (*.f64 (-.f64 y x) z) x) |
(+.f64 (*.f64 (-.f64 y x) z) x) |
(+.f64 (*.f64 (-.f64 y x) z) x) |
(*.f64 (-.f64 y x) z) |
(+.f64 (*.f64 (-.f64 y x) z) x) |
(+.f64 (*.f64 (-.f64 y x) z) x) |
(+.f64 (*.f64 (-.f64 y x) z) x) |
(*.f64 -1 (*.f64 z x)) |
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 z x))) |
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 z x))) |
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 z x))) |
(*.f64 y z) |
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 z x))) |
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 z x))) |
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 z x))) |
(*.f64 y z) |
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 z x))) |
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 z x))) |
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 z x))) |
(*.f64 y z) |
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 z x))) |
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 z x))) |
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 z x))) |
(*.f64 -1 (*.f64 z x)) |
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 z x))) |
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 z x))) |
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 z x))) |
(*.f64 -1 (*.f64 z x)) |
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 z x))) |
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 z x))) |
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 z x))) |
| Outputs |
|---|
(*.f64 y z) |
(+.f64 (*.f64 y z) (*.f64 (+.f64 (*.f64 -1 z) 1) x)) |
(fma.f64 y z (*.f64 (fma.f64 -1 z 1) x)) |
(fma.f64 z (-.f64 y x) x) |
(+.f64 (*.f64 y z) (*.f64 (+.f64 (*.f64 -1 z) 1) x)) |
(fma.f64 y z (*.f64 (fma.f64 -1 z 1) x)) |
(fma.f64 z (-.f64 y x) x) |
(+.f64 (*.f64 y z) (*.f64 (+.f64 (*.f64 -1 z) 1) x)) |
(fma.f64 y z (*.f64 (fma.f64 -1 z 1) x)) |
(fma.f64 z (-.f64 y x) x) |
(*.f64 (+.f64 (*.f64 -1 z) 1) x) |
(*.f64 (fma.f64 -1 z 1) x) |
(-.f64 x (*.f64 z x)) |
(+.f64 (*.f64 y z) (*.f64 (+.f64 (*.f64 -1 z) 1) x)) |
(fma.f64 y z (*.f64 (fma.f64 -1 z 1) x)) |
(fma.f64 z (-.f64 y x) x) |
(+.f64 (*.f64 y z) (*.f64 (+.f64 (*.f64 -1 z) 1) x)) |
(fma.f64 y z (*.f64 (fma.f64 -1 z 1) x)) |
(fma.f64 z (-.f64 y x) x) |
(+.f64 (*.f64 y z) (*.f64 (+.f64 (*.f64 -1 z) 1) x)) |
(fma.f64 y z (*.f64 (fma.f64 -1 z 1) x)) |
(fma.f64 z (-.f64 y x) x) |
(*.f64 -1 (*.f64 (-.f64 z 1) x)) |
(*.f64 (fma.f64 -1 z 1) x) |
(-.f64 x (*.f64 z x)) |
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 (-.f64 z 1) x))) |
(fma.f64 y z (*.f64 (fma.f64 -1 z 1) x)) |
(fma.f64 z (-.f64 y x) x) |
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 (-.f64 z 1) x))) |
(fma.f64 y z (*.f64 (fma.f64 -1 z 1) x)) |
(fma.f64 z (-.f64 y x) x) |
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 (-.f64 z 1) x))) |
(fma.f64 y z (*.f64 (fma.f64 -1 z 1) x)) |
(fma.f64 z (-.f64 y x) x) |
(+.f64 (*.f64 -1 (*.f64 z x)) x) |
(*.f64 (fma.f64 -1 z 1) x) |
(-.f64 x (*.f64 z x)) |
(+.f64 (*.f64 y z) (+.f64 (*.f64 -1 (*.f64 z x)) x)) |
(fma.f64 y z (*.f64 (fma.f64 -1 z 1) x)) |
(fma.f64 z (-.f64 y x) x) |
(+.f64 (*.f64 y z) (+.f64 (*.f64 -1 (*.f64 z x)) x)) |
(fma.f64 y z (*.f64 (fma.f64 -1 z 1) x)) |
(fma.f64 z (-.f64 y x) x) |
(+.f64 (*.f64 y z) (+.f64 (*.f64 -1 (*.f64 z x)) x)) |
(fma.f64 y z (*.f64 (fma.f64 -1 z 1) x)) |
(fma.f64 z (-.f64 y x) x) |
(*.f64 y z) |
(+.f64 (*.f64 y z) (+.f64 (*.f64 -1 (*.f64 z x)) x)) |
(fma.f64 y z (*.f64 (fma.f64 -1 z 1) x)) |
(fma.f64 z (-.f64 y x) x) |
(+.f64 (*.f64 y z) (+.f64 (*.f64 -1 (*.f64 z x)) x)) |
(fma.f64 y z (*.f64 (fma.f64 -1 z 1) x)) |
(fma.f64 z (-.f64 y x) x) |
(+.f64 (*.f64 y z) (+.f64 (*.f64 -1 (*.f64 z x)) x)) |
(fma.f64 y z (*.f64 (fma.f64 -1 z 1) x)) |
(fma.f64 z (-.f64 y x) x) |
(*.f64 y z) |
(+.f64 (*.f64 y z) (+.f64 (*.f64 -1 (*.f64 z x)) x)) |
(fma.f64 y z (*.f64 (fma.f64 -1 z 1) x)) |
(fma.f64 z (-.f64 y x) x) |
(+.f64 (*.f64 y z) (+.f64 (*.f64 -1 (*.f64 z x)) x)) |
(fma.f64 y z (*.f64 (fma.f64 -1 z 1) x)) |
(fma.f64 z (-.f64 y x) x) |
(+.f64 (*.f64 y z) (+.f64 (*.f64 -1 (*.f64 z x)) x)) |
(fma.f64 y z (*.f64 (fma.f64 -1 z 1) x)) |
(fma.f64 z (-.f64 y x) x) |
x |
(+.f64 (*.f64 (-.f64 y x) z) x) |
(fma.f64 y z (*.f64 (fma.f64 -1 z 1) x)) |
(fma.f64 z (-.f64 y x) x) |
(+.f64 (*.f64 (-.f64 y x) z) x) |
(fma.f64 y z (*.f64 (fma.f64 -1 z 1) x)) |
(fma.f64 z (-.f64 y x) x) |
(+.f64 (*.f64 (-.f64 y x) z) x) |
(fma.f64 y z (*.f64 (fma.f64 -1 z 1) x)) |
(fma.f64 z (-.f64 y x) x) |
(*.f64 (-.f64 y x) z) |
(*.f64 z (-.f64 y x)) |
(+.f64 (*.f64 (-.f64 y x) z) x) |
(fma.f64 y z (*.f64 (fma.f64 -1 z 1) x)) |
(fma.f64 z (-.f64 y x) x) |
(+.f64 (*.f64 (-.f64 y x) z) x) |
(fma.f64 y z (*.f64 (fma.f64 -1 z 1) x)) |
(fma.f64 z (-.f64 y x) x) |
(+.f64 (*.f64 (-.f64 y x) z) x) |
(fma.f64 y z (*.f64 (fma.f64 -1 z 1) x)) |
(fma.f64 z (-.f64 y x) x) |
(*.f64 (-.f64 y x) z) |
(*.f64 z (-.f64 y x)) |
(+.f64 (*.f64 (-.f64 y x) z) x) |
(fma.f64 y z (*.f64 (fma.f64 -1 z 1) x)) |
(fma.f64 z (-.f64 y x) x) |
(+.f64 (*.f64 (-.f64 y x) z) x) |
(fma.f64 y z (*.f64 (fma.f64 -1 z 1) x)) |
(fma.f64 z (-.f64 y x) x) |
(+.f64 (*.f64 (-.f64 y x) z) x) |
(fma.f64 y z (*.f64 (fma.f64 -1 z 1) x)) |
(fma.f64 z (-.f64 y x) x) |
(*.f64 -1 (*.f64 z x)) |
(*.f64 (neg.f64 z) x) |
(neg.f64 (*.f64 z x)) |
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 z x))) |
(*.f64 z (-.f64 y x)) |
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 z x))) |
(*.f64 z (-.f64 y x)) |
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 z x))) |
(*.f64 z (-.f64 y x)) |
(*.f64 y z) |
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 z x))) |
(*.f64 z (-.f64 y x)) |
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 z x))) |
(*.f64 z (-.f64 y x)) |
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 z x))) |
(*.f64 z (-.f64 y x)) |
(*.f64 y z) |
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 z x))) |
(*.f64 z (-.f64 y x)) |
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 z x))) |
(*.f64 z (-.f64 y x)) |
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 z x))) |
(*.f64 z (-.f64 y x)) |
(*.f64 y z) |
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 z x))) |
(*.f64 z (-.f64 y x)) |
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 z x))) |
(*.f64 z (-.f64 y x)) |
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 z x))) |
(*.f64 z (-.f64 y x)) |
(*.f64 -1 (*.f64 z x)) |
(*.f64 (neg.f64 z) x) |
(neg.f64 (*.f64 z x)) |
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 z x))) |
(*.f64 z (-.f64 y x)) |
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 z x))) |
(*.f64 z (-.f64 y x)) |
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 z x))) |
(*.f64 z (-.f64 y x)) |
(*.f64 -1 (*.f64 z x)) |
(*.f64 (neg.f64 z) x) |
(neg.f64 (*.f64 z x)) |
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 z x))) |
(*.f64 z (-.f64 y x)) |
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 z x))) |
(*.f64 z (-.f64 y x)) |
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 z x))) |
(*.f64 z (-.f64 y x)) |
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (fma.f64 (-.f64 y x) z x) |
Compiled 15 to 5 computations (66.7% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | inf | (fma.f64 (-.f64 y x) z x) |
| 1.0ms | z | @ | -inf | (fma.f64 (-.f64 y x) z x) |
| 1.0ms | y | @ | 0 | (fma.f64 (-.f64 y x) z x) |
| 0.0ms | z | @ | inf | (fma.f64 (-.f64 y x) z x) |
| 0.0ms | x | @ | -inf | (fma.f64 (-.f64 y x) z x) |
| 1× | batch-egg-rewrite |
| 736× | pow1_binary64 |
| 682× | add-log-exp_binary64 |
| 682× | log1p-expm1-u_binary64 |
| 682× | expm1-log1p-u_binary64 |
| 666× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 8 |
| 1 | 130 | 8 |
| 2 | 1791 | 8 |
| 1× | node limit |
| Inputs |
|---|
(fma.f64 (-.f64 y x) z x) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 (-.f64 y x) z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (-.f64 y x) z) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (-.f64 y x) z) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 (-.f64 y x) z x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (-.f64 y x) z x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (-.f64 y x) z x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (-.f64 y x) z x)) (pow.f64 (cbrt.f64 (fma.f64 (-.f64 y x) z x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 (-.f64 y x) z x)) 2) (cbrt.f64 (fma.f64 (-.f64 y x) z x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (-.f64 y x) z x)) (sqrt.f64 (fma.f64 (-.f64 y x) z x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 (-.f64 y x) z) 3) (pow.f64 x 3)) (+.f64 (*.f64 (*.f64 (-.f64 y x) z) (*.f64 (-.f64 y x) z)) (-.f64 (*.f64 x x) (*.f64 (*.f64 (-.f64 y x) z) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 (-.f64 y x) z) (*.f64 (-.f64 y x) z)) (*.f64 x x)) (-.f64 (*.f64 (-.f64 y x) z) x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (-.f64 y x) z x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (-.f64 y x) z x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (-.f64 y x) z x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (-.f64 y x) z x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (-.f64 y x) z x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 (-.f64 y x) z x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (-.f64 y x) z x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (-.f64 y x) z x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (-.f64 y x) z x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (-.f64 y x) z x))))))) |
| 1× | egg-herbie |
| 400× | fma-def_binary64 |
| 300× | fma-neg_binary64 |
| 64× | cancel-sign-sub-inv_binary64 |
| 60× | distribute-rgt-in_binary64 |
| 42× | unsub-neg_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 22 | 375 |
| 1 | 56 | 264 |
| 2 | 108 | 264 |
| 3 | 213 | 264 |
| 4 | 374 | 264 |
| 5 | 679 | 264 |
| 6 | 1053 | 264 |
| 7 | 1292 | 264 |
| 8 | 1411 | 264 |
| 9 | 1413 | 264 |
| 1× | saturated |
| Inputs |
|---|
(+.f64 (*.f64 -1 (*.f64 z x)) x) |
(+.f64 (*.f64 y z) (+.f64 (*.f64 -1 (*.f64 z x)) x)) |
(+.f64 (*.f64 y z) (+.f64 (*.f64 -1 (*.f64 z x)) x)) |
(+.f64 (*.f64 y z) (+.f64 (*.f64 -1 (*.f64 z x)) x)) |
(*.f64 y z) |
(+.f64 (*.f64 y z) (+.f64 (*.f64 -1 (*.f64 z x)) x)) |
(+.f64 (*.f64 y z) (+.f64 (*.f64 -1 (*.f64 z x)) x)) |
(+.f64 (*.f64 y z) (+.f64 (*.f64 -1 (*.f64 z x)) x)) |
(*.f64 y z) |
(+.f64 (*.f64 y z) (+.f64 (*.f64 -1 (*.f64 z x)) x)) |
(+.f64 (*.f64 y z) (+.f64 (*.f64 -1 (*.f64 z x)) x)) |
(+.f64 (*.f64 y z) (+.f64 (*.f64 -1 (*.f64 z x)) x)) |
(*.f64 y z) |
(+.f64 (*.f64 y z) (*.f64 (+.f64 (*.f64 -1 z) 1) x)) |
(+.f64 (*.f64 y z) (*.f64 (+.f64 (*.f64 -1 z) 1) x)) |
(+.f64 (*.f64 y z) (*.f64 (+.f64 (*.f64 -1 z) 1) x)) |
(*.f64 (+.f64 (*.f64 -1 z) 1) x) |
(+.f64 (*.f64 y z) (*.f64 (+.f64 (*.f64 -1 z) 1) x)) |
(+.f64 (*.f64 y z) (*.f64 (+.f64 (*.f64 -1 z) 1) x)) |
(+.f64 (*.f64 y z) (*.f64 (+.f64 (*.f64 -1 z) 1) x)) |
(*.f64 -1 (*.f64 (-.f64 z 1) x)) |
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 (-.f64 z 1) x))) |
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 (-.f64 z 1) x))) |
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 (-.f64 z 1) x))) |
x |
(+.f64 (*.f64 (-.f64 y x) z) x) |
(+.f64 (*.f64 (-.f64 y x) z) x) |
(+.f64 (*.f64 (-.f64 y x) z) x) |
(*.f64 (-.f64 y x) z) |
(+.f64 (*.f64 (-.f64 y x) z) x) |
(+.f64 (*.f64 (-.f64 y x) z) x) |
(+.f64 (*.f64 (-.f64 y x) z) x) |
(*.f64 (-.f64 y x) z) |
(+.f64 (*.f64 (-.f64 y x) z) x) |
(+.f64 (*.f64 (-.f64 y x) z) x) |
(+.f64 (*.f64 (-.f64 y x) z) x) |
| Outputs |
|---|
(+.f64 (*.f64 -1 (*.f64 z x)) x) |
(fma.f64 -1 (*.f64 z x) x) |
(-.f64 x (*.f64 z x)) |
(+.f64 (*.f64 y z) (+.f64 (*.f64 -1 (*.f64 z x)) x)) |
(fma.f64 y z (fma.f64 -1 (*.f64 z x) x)) |
(fma.f64 z (-.f64 y x) x) |
(+.f64 (*.f64 y z) (+.f64 (*.f64 -1 (*.f64 z x)) x)) |
(fma.f64 y z (fma.f64 -1 (*.f64 z x) x)) |
(fma.f64 z (-.f64 y x) x) |
(+.f64 (*.f64 y z) (+.f64 (*.f64 -1 (*.f64 z x)) x)) |
(fma.f64 y z (fma.f64 -1 (*.f64 z x) x)) |
(fma.f64 z (-.f64 y x) x) |
(*.f64 y z) |
(*.f64 z y) |
(+.f64 (*.f64 y z) (+.f64 (*.f64 -1 (*.f64 z x)) x)) |
(fma.f64 y z (fma.f64 -1 (*.f64 z x) x)) |
(fma.f64 z (-.f64 y x) x) |
(+.f64 (*.f64 y z) (+.f64 (*.f64 -1 (*.f64 z x)) x)) |
(fma.f64 y z (fma.f64 -1 (*.f64 z x) x)) |
(fma.f64 z (-.f64 y x) x) |
(+.f64 (*.f64 y z) (+.f64 (*.f64 -1 (*.f64 z x)) x)) |
(fma.f64 y z (fma.f64 -1 (*.f64 z x) x)) |
(fma.f64 z (-.f64 y x) x) |
(*.f64 y z) |
(*.f64 z y) |
(+.f64 (*.f64 y z) (+.f64 (*.f64 -1 (*.f64 z x)) x)) |
(fma.f64 y z (fma.f64 -1 (*.f64 z x) x)) |
(fma.f64 z (-.f64 y x) x) |
(+.f64 (*.f64 y z) (+.f64 (*.f64 -1 (*.f64 z x)) x)) |
(fma.f64 y z (fma.f64 -1 (*.f64 z x) x)) |
(fma.f64 z (-.f64 y x) x) |
(+.f64 (*.f64 y z) (+.f64 (*.f64 -1 (*.f64 z x)) x)) |
(fma.f64 y z (fma.f64 -1 (*.f64 z x) x)) |
(fma.f64 z (-.f64 y x) x) |
(*.f64 y z) |
(*.f64 z y) |
(+.f64 (*.f64 y z) (*.f64 (+.f64 (*.f64 -1 z) 1) x)) |
(fma.f64 y z (fma.f64 -1 (*.f64 z x) x)) |
(fma.f64 z (-.f64 y x) x) |
(+.f64 (*.f64 y z) (*.f64 (+.f64 (*.f64 -1 z) 1) x)) |
(fma.f64 y z (fma.f64 -1 (*.f64 z x) x)) |
(fma.f64 z (-.f64 y x) x) |
(+.f64 (*.f64 y z) (*.f64 (+.f64 (*.f64 -1 z) 1) x)) |
(fma.f64 y z (fma.f64 -1 (*.f64 z x) x)) |
(fma.f64 z (-.f64 y x) x) |
(*.f64 (+.f64 (*.f64 -1 z) 1) x) |
(fma.f64 -1 (*.f64 z x) x) |
(-.f64 x (*.f64 z x)) |
(+.f64 (*.f64 y z) (*.f64 (+.f64 (*.f64 -1 z) 1) x)) |
(fma.f64 y z (fma.f64 -1 (*.f64 z x) x)) |
(fma.f64 z (-.f64 y x) x) |
(+.f64 (*.f64 y z) (*.f64 (+.f64 (*.f64 -1 z) 1) x)) |
(fma.f64 y z (fma.f64 -1 (*.f64 z x) x)) |
(fma.f64 z (-.f64 y x) x) |
(+.f64 (*.f64 y z) (*.f64 (+.f64 (*.f64 -1 z) 1) x)) |
(fma.f64 y z (fma.f64 -1 (*.f64 z x) x)) |
(fma.f64 z (-.f64 y x) x) |
(*.f64 -1 (*.f64 (-.f64 z 1) x)) |
(fma.f64 -1 (*.f64 z x) x) |
(-.f64 x (*.f64 z x)) |
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 (-.f64 z 1) x))) |
(fma.f64 y z (fma.f64 -1 (*.f64 z x) x)) |
(fma.f64 z (-.f64 y x) x) |
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 (-.f64 z 1) x))) |
(fma.f64 y z (fma.f64 -1 (*.f64 z x) x)) |
(fma.f64 z (-.f64 y x) x) |
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 (-.f64 z 1) x))) |
(fma.f64 y z (fma.f64 -1 (*.f64 z x) x)) |
(fma.f64 z (-.f64 y x) x) |
x |
(+.f64 (*.f64 (-.f64 y x) z) x) |
(fma.f64 y z (fma.f64 -1 (*.f64 z x) x)) |
(fma.f64 z (-.f64 y x) x) |
(+.f64 (*.f64 (-.f64 y x) z) x) |
(fma.f64 y z (fma.f64 -1 (*.f64 z x) x)) |
(fma.f64 z (-.f64 y x) x) |
(+.f64 (*.f64 (-.f64 y x) z) x) |
(fma.f64 y z (fma.f64 -1 (*.f64 z x) x)) |
(fma.f64 z (-.f64 y x) x) |
(*.f64 (-.f64 y x) z) |
(*.f64 z (-.f64 y x)) |
(+.f64 (*.f64 (-.f64 y x) z) x) |
(fma.f64 y z (fma.f64 -1 (*.f64 z x) x)) |
(fma.f64 z (-.f64 y x) x) |
(+.f64 (*.f64 (-.f64 y x) z) x) |
(fma.f64 y z (fma.f64 -1 (*.f64 z x) x)) |
(fma.f64 z (-.f64 y x) x) |
(+.f64 (*.f64 (-.f64 y x) z) x) |
(fma.f64 y z (fma.f64 -1 (*.f64 z x) x)) |
(fma.f64 z (-.f64 y x) x) |
(*.f64 (-.f64 y x) z) |
(*.f64 z (-.f64 y x)) |
(+.f64 (*.f64 (-.f64 y x) z) x) |
(fma.f64 y z (fma.f64 -1 (*.f64 z x) x)) |
(fma.f64 z (-.f64 y x) x) |
(+.f64 (*.f64 (-.f64 y x) z) x) |
(fma.f64 y z (fma.f64 -1 (*.f64 z x) x)) |
(fma.f64 z (-.f64 y x) x) |
(+.f64 (*.f64 (-.f64 y x) z) x) |
(fma.f64 y z (fma.f64 -1 (*.f64 z x) x)) |
(fma.f64 z (-.f64 y x) x) |
Compiled 1167 to 339 computations (71% saved)
7 alts after pruning (5 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 98 | 5 | 103 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 1 | 1 |
| Total | 98 | 7 | 105 |
| Status | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 x (*.f64 (-.f64 y x) z)) |
| ▶ | 0.0b | (+.f64 x (+.f64 (*.f64 z y) (*.f64 z (neg.f64 x)))) |
| ▶ | 26.7b | (-.f64 x (*.f64 z x)) |
| ▶ | 36.2b | (*.f64 z y) |
| ▶ | 26.4b | (*.f64 (-.f64 y x) z) |
| ✓ | 0.0b | (fma.f64 (-.f64 y x) z x) |
| 36.9b | x |
Compiled 58 to 36 computations (37.9% saved)
Compiled 8 to 4 computations (50% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (*.f64 (-.f64 y x) z) |
Compiled 14 to 5 computations (64.3% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 x (+.f64 (*.f64 z y) (*.f64 z (neg.f64 x)))) |
Compiled 33 to 8 computations (75.8% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | z | @ | 0 | (+.f64 x (+.f64 (*.f64 z y) (*.f64 z (neg.f64 x)))) |
| 1.0ms | x | @ | 0 | (+.f64 x (+.f64 (*.f64 z y) (*.f64 z (neg.f64 x)))) |
| 1.0ms | y | @ | 0 | (+.f64 x (+.f64 (*.f64 z y) (*.f64 z (neg.f64 x)))) |
| 1.0ms | x | @ | inf | (+.f64 x (+.f64 (*.f64 z y) (*.f64 z (neg.f64 x)))) |
| 0.0ms | z | @ | -inf | (+.f64 x (+.f64 (*.f64 z y) (*.f64 z (neg.f64 x)))) |
| 1× | batch-egg-rewrite |
| 566× | fma-def_binary64 |
| 504× | log-prod_binary64 |
| 402× | pow-prod-down_binary64 |
| 334× | fma-neg_binary64 |
| 254× | pow2_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 12 |
| 1 | 208 | 8 |
| 2 | 3273 | 8 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 x (+.f64 (*.f64 z y) (*.f64 z (neg.f64 x)))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 z (+.f64 x y)) x)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (fma.f64 z y x) (*.f64 x z))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 z (+.f64 x y) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 z (+.f64 x y)))) (/.f64 (pow.f64 (*.f64 z (+.f64 x y)) 2) (-.f64 x (*.f64 z (+.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 z (+.f64 x y) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 z (+.f64 x y) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 z (+.f64 x y) x)) (pow.f64 (cbrt.f64 (fma.f64 z (+.f64 x y) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 z (+.f64 x y) x)) 2) (cbrt.f64 (fma.f64 z (+.f64 x y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 z (+.f64 x y) x)) (sqrt.f64 (fma.f64 z (+.f64 x y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 z (+.f64 x y)) 3)) (/.f64 1 (fma.f64 x x (*.f64 (*.f64 z (+.f64 x y)) (fma.f64 z (+.f64 x y) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 z (+.f64 x y)) 2)) (/.f64 1 (-.f64 x (*.f64 z (+.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x x (*.f64 (*.f64 z (+.f64 x y)) (fma.f64 z (+.f64 x y) x))) (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 z (+.f64 x y)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 x (*.f64 z (+.f64 x y))) (-.f64 (*.f64 x x) (pow.f64 (*.f64 z (+.f64 x y)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 z (+.f64 x y)) 3)) (fma.f64 x x (*.f64 (*.f64 z (+.f64 x y)) (fma.f64 z (+.f64 x y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 z (+.f64 x y)) 3)) (+.f64 (pow.f64 (*.f64 z (+.f64 x y)) 2) (-.f64 (*.f64 x x) (*.f64 x (*.f64 z (+.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 z (+.f64 x y)) 2)) (-.f64 x (*.f64 z (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 z (+.f64 x y)) 3))) (neg.f64 (fma.f64 x x (*.f64 (*.f64 z (+.f64 x y)) (fma.f64 z (+.f64 x y) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 z (+.f64 x y)) 2))) (neg.f64 (-.f64 x (*.f64 z (+.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 z y x) 3) (pow.f64 (*.f64 x z) 3)) (+.f64 (pow.f64 (fma.f64 z y x) 2) (-.f64 (pow.f64 (*.f64 x z) 2) (*.f64 (fma.f64 z y x) (*.f64 x z)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 z (+.f64 x y)) 2) (*.f64 x x)) (fma.f64 z (+.f64 x y) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (fma.f64 z y x) 2) (pow.f64 (*.f64 x z) 2)) (fma.f64 z (+.f64 x y) x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 z (+.f64 x y) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 z (+.f64 x y) x) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 z (+.f64 x y) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 z (+.f64 x y) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 z (+.f64 x y) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 x x (*.f64 (*.f64 z (+.f64 x y)) (fma.f64 z (+.f64 x y) x))) (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 z (+.f64 x y)) 3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 x (*.f64 z (+.f64 x y))) (-.f64 (*.f64 x x) (pow.f64 (*.f64 z (+.f64 x y)) 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 z (+.f64 x y) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 z (+.f64 x y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 z (+.f64 x y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (exp.f64 (fma.f64 z y x)) (pow.f64 (exp.f64 x) z)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (exp.f64 (fma.f64 z y x)) (+.f64 1 (expm1.f64 (*.f64 x z)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (pow.f64 (exp.f64 1) (fma.f64 z y x)) (+.f64 1 (expm1.f64 (*.f64 x z)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (pow.f64 (exp.f64 z) (+.f64 x y)) (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (+.f64 1 (expm1.f64 (*.f64 z (+.f64 x y)))) (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (pow.f64 (exp.f64 z) (+.f64 x y)) (+.f64 1 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (+.f64 1 (expm1.f64 (*.f64 z (+.f64 x y)))) (+.f64 1 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (pow.f64 (exp.f64 z) (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 x) (+.f64 1 (expm1.f64 (*.f64 z (+.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (+.f64 1 (expm1.f64 (*.f64 z (+.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (exp.f64 x) z) (exp.f64 (fma.f64 z y x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 x z))) (exp.f64 (fma.f64 z y x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 x z))) (pow.f64 (exp.f64 1) (fma.f64 z y x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 z (+.f64 x y)))) (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (exp.f64 z) (+.f64 x y)) (+.f64 1 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 z (+.f64 x y)))) (+.f64 1 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (fma.f64 z y x)) (+.f64 1 (expm1.f64 (*.f64 x z)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (exp.f64 1) (fma.f64 z y x)) (+.f64 1 (expm1.f64 (*.f64 x z)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 z (+.f64 x y) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 z (+.f64 x y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 z (+.f64 x y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 z (+.f64 x y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 z (+.f64 x y) x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x z (fma.f64 z y x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 1 (*.f64 z (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x -1 (*.f64 z (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 z x (fma.f64 z y x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 z y (fma.f64 x z x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 z (+.f64 x y) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y z (fma.f64 x z x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 z y) 1 (fma.f64 x z x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x z) 1 (fma.f64 z y x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 z (+.f64 x y)) 1 x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (*.f64 z (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 z y) (fma.f64 x z x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x z) (fma.f64 z y x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 z (+.f64 x y)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 z y x) (*.f64 x z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (*.f64 z (+.f64 x y)) 2) (/.f64 1 (*.f64 z (+.f64 x y))) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 z (+.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 z (+.f64 x y))) 2) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 z (+.f64 x y))) 2) (cbrt.f64 (*.f64 z (+.f64 x y))) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 z y)) (pow.f64 (cbrt.f64 (*.f64 z y)) 2) (fma.f64 x z x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 z y)) 2) (cbrt.f64 (*.f64 z y)) (fma.f64 x z x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (*.f64 z (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 z (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (neg.f64 (cbrt.f64 x)) (*.f64 z (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) z) (fma.f64 z y x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 z) 2) (*.f64 (cbrt.f64 z) (+.f64 x y)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 z) 2) (*.f64 (cbrt.f64 z) y) (fma.f64 x z x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 z) 2) (*.f64 (cbrt.f64 z) x) (fma.f64 z y x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 x z)) (cbrt.f64 (pow.f64 (*.f64 x z) 2)) (fma.f64 z y x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (*.f64 x z) 2)) (cbrt.f64 (*.f64 x z)) (fma.f64 z y x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 y y)) (*.f64 (cbrt.f64 y) z) (fma.f64 x z x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 z (+.f64 x y))) (sqrt.f64 (*.f64 z (+.f64 x y))) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 z y)) (sqrt.f64 (*.f64 z y)) (fma.f64 x z x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 z (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x)) (*.f64 z (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) z) (fma.f64 z y x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) (+.f64 x y)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) y) (fma.f64 x z x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) x) (fma.f64 z y x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x z)) (sqrt.f64 (*.f64 x z)) (fma.f64 z y x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) z) (fma.f64 x z x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (pow.f64 (*.f64 z y) 3) (pow.f64 (*.f64 x z) 3)) (/.f64 1 (-.f64 (pow.f64 (*.f64 z (+.f64 x y)) 2) (*.f64 z (*.f64 y (*.f64 x z))))) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 x (*.f64 z (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (*.f64 x z) (fma.f64 z y x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 x y) z x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 z y x) 1 (*.f64 x z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 z y x)) 2) (cbrt.f64 (fma.f64 z y x)) (*.f64 x z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 z y x)) (sqrt.f64 (fma.f64 z y x)) (*.f64 x z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 z) x (fma.f64 z y x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 (sqrt.f64 z) (sqrt.f64 y) (sqrt.f64 (*.f64 x z))) (-.f64 (sqrt.f64 (*.f64 z y)) (sqrt.f64 (*.f64 x z))) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.f64 z (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) (*.f64 z (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 z (cbrt.f64 (*.f64 y y))) (cbrt.f64 y) (fma.f64 x z x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 z (sqrt.f64 y)) (sqrt.f64 y) (fma.f64 x z x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z) (fma.f64 x z x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y (sqrt.f64 z)) (sqrt.f64 z) (fma.f64 x z x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.f64 z (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1 (sqrt.f64 x)) (sqrt.f64 x) (*.f64 z (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 z -1) x (fma.f64 z y x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z) (fma.f64 z y x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (sqrt.f64 z)) (sqrt.f64 z) (fma.f64 z y x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 z (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (fma.f64 z y x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 z (sqrt.f64 x)) (sqrt.f64 x) (fma.f64 z y x)))))) |
| 1× | egg-herbie |
| 311× | fma-neg_binary64 |
| 273× | fma-def_binary64 |
| 50× | cancel-sign-sub-inv_binary64 |
| 44× | unsub-neg_binary64 |
| 42× | distribute-rgt-in_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 28 | 379 |
| 1 | 83 | 264 |
| 2 | 173 | 264 |
| 3 | 324 | 264 |
| 4 | 651 | 264 |
| 5 | 1066 | 264 |
| 6 | 1226 | 264 |
| 7 | 1240 | 264 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 y z) |
(+.f64 (*.f64 y z) (*.f64 (+.f64 (*.f64 -1 z) 1) x)) |
(+.f64 (*.f64 y z) (*.f64 (+.f64 (*.f64 -1 z) 1) x)) |
(+.f64 (*.f64 y z) (*.f64 (+.f64 (*.f64 -1 z) 1) x)) |
(*.f64 (+.f64 (*.f64 -1 z) 1) x) |
(+.f64 (*.f64 y z) (*.f64 (+.f64 (*.f64 -1 z) 1) x)) |
(+.f64 (*.f64 y z) (*.f64 (+.f64 (*.f64 -1 z) 1) x)) |
(+.f64 (*.f64 y z) (*.f64 (+.f64 (*.f64 -1 z) 1) x)) |
(*.f64 -1 (*.f64 (-.f64 z 1) x)) |
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 (-.f64 z 1) x))) |
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 (-.f64 z 1) x))) |
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 (-.f64 z 1) x))) |
x |
(+.f64 (*.f64 z (+.f64 y (*.f64 -1 x))) x) |
(+.f64 (*.f64 z (+.f64 y (*.f64 -1 x))) x) |
(+.f64 (*.f64 z (+.f64 y (*.f64 -1 x))) x) |
(*.f64 z (+.f64 y (*.f64 -1 x))) |
(+.f64 (*.f64 z (+.f64 y (*.f64 -1 x))) x) |
(+.f64 (*.f64 z (+.f64 y (*.f64 -1 x))) x) |
(+.f64 (*.f64 z (+.f64 y (*.f64 -1 x))) x) |
(*.f64 -1 (*.f64 z (+.f64 (*.f64 -1 y) x))) |
(+.f64 (*.f64 -1 (*.f64 z (+.f64 (*.f64 -1 y) x))) x) |
(+.f64 (*.f64 -1 (*.f64 z (+.f64 (*.f64 -1 y) x))) x) |
(+.f64 (*.f64 -1 (*.f64 z (+.f64 (*.f64 -1 y) x))) x) |
(+.f64 (*.f64 -1 (*.f64 z x)) x) |
(+.f64 (*.f64 y z) (+.f64 (*.f64 -1 (*.f64 z x)) x)) |
(+.f64 (*.f64 y z) (+.f64 (*.f64 -1 (*.f64 z x)) x)) |
(+.f64 (*.f64 y z) (+.f64 (*.f64 -1 (*.f64 z x)) x)) |
(*.f64 y z) |
(+.f64 (*.f64 y z) (+.f64 (*.f64 -1 (*.f64 z x)) x)) |
(+.f64 (*.f64 y z) (+.f64 (*.f64 -1 (*.f64 z x)) x)) |
(+.f64 (*.f64 y z) (+.f64 (*.f64 -1 (*.f64 z x)) x)) |
(*.f64 y z) |
(+.f64 (*.f64 y z) (+.f64 (*.f64 -1 (*.f64 z x)) x)) |
(+.f64 (*.f64 y z) (+.f64 (*.f64 -1 (*.f64 z x)) x)) |
(+.f64 (*.f64 y z) (+.f64 (*.f64 -1 (*.f64 z x)) x)) |
| Outputs |
|---|
(*.f64 y z) |
(+.f64 (*.f64 y z) (*.f64 (+.f64 (*.f64 -1 z) 1) x)) |
(fma.f64 y z (*.f64 (fma.f64 -1 z 1) x)) |
(fma.f64 z (-.f64 y x) x) |
(+.f64 (*.f64 y z) (*.f64 (+.f64 (*.f64 -1 z) 1) x)) |
(fma.f64 y z (*.f64 (fma.f64 -1 z 1) x)) |
(fma.f64 z (-.f64 y x) x) |
(+.f64 (*.f64 y z) (*.f64 (+.f64 (*.f64 -1 z) 1) x)) |
(fma.f64 y z (*.f64 (fma.f64 -1 z 1) x)) |
(fma.f64 z (-.f64 y x) x) |
(*.f64 (+.f64 (*.f64 -1 z) 1) x) |
(*.f64 (fma.f64 -1 z 1) x) |
(-.f64 x (*.f64 z x)) |
(+.f64 (*.f64 y z) (*.f64 (+.f64 (*.f64 -1 z) 1) x)) |
(fma.f64 y z (*.f64 (fma.f64 -1 z 1) x)) |
(fma.f64 z (-.f64 y x) x) |
(+.f64 (*.f64 y z) (*.f64 (+.f64 (*.f64 -1 z) 1) x)) |
(fma.f64 y z (*.f64 (fma.f64 -1 z 1) x)) |
(fma.f64 z (-.f64 y x) x) |
(+.f64 (*.f64 y z) (*.f64 (+.f64 (*.f64 -1 z) 1) x)) |
(fma.f64 y z (*.f64 (fma.f64 -1 z 1) x)) |
(fma.f64 z (-.f64 y x) x) |
(*.f64 -1 (*.f64 (-.f64 z 1) x)) |
(*.f64 (fma.f64 -1 z 1) x) |
(-.f64 x (*.f64 z x)) |
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 (-.f64 z 1) x))) |
(fma.f64 y z (*.f64 (fma.f64 -1 z 1) x)) |
(fma.f64 z (-.f64 y x) x) |
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 (-.f64 z 1) x))) |
(fma.f64 y z (*.f64 (fma.f64 -1 z 1) x)) |
(fma.f64 z (-.f64 y x) x) |
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 (-.f64 z 1) x))) |
(fma.f64 y z (*.f64 (fma.f64 -1 z 1) x)) |
(fma.f64 z (-.f64 y x) x) |
x |
(+.f64 (*.f64 z (+.f64 y (*.f64 -1 x))) x) |
(fma.f64 y z (*.f64 (fma.f64 -1 z 1) x)) |
(fma.f64 z (-.f64 y x) x) |
(+.f64 (*.f64 z (+.f64 y (*.f64 -1 x))) x) |
(fma.f64 y z (*.f64 (fma.f64 -1 z 1) x)) |
(fma.f64 z (-.f64 y x) x) |
(+.f64 (*.f64 z (+.f64 y (*.f64 -1 x))) x) |
(fma.f64 y z (*.f64 (fma.f64 -1 z 1) x)) |
(fma.f64 z (-.f64 y x) x) |
(*.f64 z (+.f64 y (*.f64 -1 x))) |
(*.f64 z (+.f64 y (neg.f64 x))) |
(*.f64 z (-.f64 y x)) |
(+.f64 (*.f64 z (+.f64 y (*.f64 -1 x))) x) |
(fma.f64 y z (*.f64 (fma.f64 -1 z 1) x)) |
(fma.f64 z (-.f64 y x) x) |
(+.f64 (*.f64 z (+.f64 y (*.f64 -1 x))) x) |
(fma.f64 y z (*.f64 (fma.f64 -1 z 1) x)) |
(fma.f64 z (-.f64 y x) x) |
(+.f64 (*.f64 z (+.f64 y (*.f64 -1 x))) x) |
(fma.f64 y z (*.f64 (fma.f64 -1 z 1) x)) |
(fma.f64 z (-.f64 y x) x) |
(*.f64 -1 (*.f64 z (+.f64 (*.f64 -1 y) x))) |
(*.f64 z (+.f64 y (neg.f64 x))) |
(*.f64 z (-.f64 y x)) |
(+.f64 (*.f64 -1 (*.f64 z (+.f64 (*.f64 -1 y) x))) x) |
(fma.f64 y z (*.f64 (fma.f64 -1 z 1) x)) |
(fma.f64 z (-.f64 y x) x) |
(+.f64 (*.f64 -1 (*.f64 z (+.f64 (*.f64 -1 y) x))) x) |
(fma.f64 y z (*.f64 (fma.f64 -1 z 1) x)) |
(fma.f64 z (-.f64 y x) x) |
(+.f64 (*.f64 -1 (*.f64 z (+.f64 (*.f64 -1 y) x))) x) |
(fma.f64 y z (*.f64 (fma.f64 -1 z 1) x)) |
(fma.f64 z (-.f64 y x) x) |
(+.f64 (*.f64 -1 (*.f64 z x)) x) |
(*.f64 (fma.f64 -1 z 1) x) |
(-.f64 x (*.f64 z x)) |
(+.f64 (*.f64 y z) (+.f64 (*.f64 -1 (*.f64 z x)) x)) |
(fma.f64 y z (*.f64 (fma.f64 -1 z 1) x)) |
(fma.f64 z (-.f64 y x) x) |
(+.f64 (*.f64 y z) (+.f64 (*.f64 -1 (*.f64 z x)) x)) |
(fma.f64 y z (*.f64 (fma.f64 -1 z 1) x)) |
(fma.f64 z (-.f64 y x) x) |
(+.f64 (*.f64 y z) (+.f64 (*.f64 -1 (*.f64 z x)) x)) |
(fma.f64 y z (*.f64 (fma.f64 -1 z 1) x)) |
(fma.f64 z (-.f64 y x) x) |
(*.f64 y z) |
(+.f64 (*.f64 y z) (+.f64 (*.f64 -1 (*.f64 z x)) x)) |
(fma.f64 y z (*.f64 (fma.f64 -1 z 1) x)) |
(fma.f64 z (-.f64 y x) x) |
(+.f64 (*.f64 y z) (+.f64 (*.f64 -1 (*.f64 z x)) x)) |
(fma.f64 y z (*.f64 (fma.f64 -1 z 1) x)) |
(fma.f64 z (-.f64 y x) x) |
(+.f64 (*.f64 y z) (+.f64 (*.f64 -1 (*.f64 z x)) x)) |
(fma.f64 y z (*.f64 (fma.f64 -1 z 1) x)) |
(fma.f64 z (-.f64 y x) x) |
(*.f64 y z) |
(+.f64 (*.f64 y z) (+.f64 (*.f64 -1 (*.f64 z x)) x)) |
(fma.f64 y z (*.f64 (fma.f64 -1 z 1) x)) |
(fma.f64 z (-.f64 y x) x) |
(+.f64 (*.f64 y z) (+.f64 (*.f64 -1 (*.f64 z x)) x)) |
(fma.f64 y z (*.f64 (fma.f64 -1 z 1) x)) |
(fma.f64 z (-.f64 y x) x) |
(+.f64 (*.f64 y z) (+.f64 (*.f64 -1 (*.f64 z x)) x)) |
(fma.f64 y z (*.f64 (fma.f64 -1 z 1) x)) |
(fma.f64 z (-.f64 y x) x) |
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (-.f64 x (*.f64 z x)) |
Compiled 13 to 5 computations (61.5% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (-.f64 x (*.f64 z x)) |
| 0.0ms | x | @ | inf | (-.f64 x (*.f64 z x)) |
| 0.0ms | x | @ | -inf | (-.f64 x (*.f64 z x)) |
| 0.0ms | z | @ | -inf | (-.f64 x (*.f64 z x)) |
| 0.0ms | z | @ | inf | (-.f64 x (*.f64 z x)) |
| 1× | batch-egg-rewrite |
| 651× | pow1_binary64 |
| 606× | add-log-exp_binary64 |
| 606× | log1p-expm1-u_binary64 |
| 606× | expm1-log1p-u_binary64 |
| 593× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5 | 7 |
| 1 | 113 | 7 |
| 2 | 1654 | 7 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 x (*.f64 z x)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 x (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 (*.f64 x (neg.f64 z)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (*.f64 x z)) (fma.f64 (neg.f64 z) x (*.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (*.f64 x z)) (fma.f64 (neg.f64 x) z (*.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (*.f64 x z)) (fma.f64 (*.f64 x (neg.f64 z)) 1 (*.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (*.f64 x z)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x z))) (pow.f64 (cbrt.f64 (*.f64 x z)) 2) (*.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (*.f64 x z)) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 x z))) (sqrt.f64 (*.f64 x z)) (*.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (neg.f64 z)) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (-.f64 1 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (+.f64 1 (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 x (*.f64 x z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 x (*.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 x (*.f64 x z))) (pow.f64 (cbrt.f64 (-.f64 x (*.f64 x z))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 x (*.f64 x z))) 2) (cbrt.f64 (-.f64 x (*.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 x (*.f64 x z))) (sqrt.f64 (-.f64 x (*.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 x z) 3)) (/.f64 1 (fma.f64 x x (*.f64 (*.f64 x z) (+.f64 x (*.f64 x z))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 x z) 2)) (/.f64 1 (+.f64 x (*.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 x z))) (-.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (neg.f64 z) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x x (*.f64 (*.f64 x z) (+.f64 x (*.f64 x z)))) (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 x z) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 x (*.f64 x z)) (-.f64 (*.f64 x x) (pow.f64 (*.f64 x z) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 x z) 3)) (fma.f64 x x (*.f64 (*.f64 x z) (+.f64 x (*.f64 x z)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 x z) 2)) (+.f64 x (*.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 x z) 3))) (neg.f64 (fma.f64 x x (*.f64 (*.f64 x z) (+.f64 x (*.f64 x z))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 x z) 2))) (neg.f64 (+.f64 x (*.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 x (neg.f64 z)) 3)) (+.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x (neg.f64 z)) (*.f64 x (neg.f64 z))) (*.f64 x (*.f64 x (neg.f64 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x (neg.f64 z)) (*.f64 x (neg.f64 z)))) (-.f64 x (*.f64 x (neg.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 x (*.f64 x z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 x (*.f64 x z)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 x (*.f64 x z))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 x (*.f64 x z))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 x (*.f64 x z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 x (*.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 x (*.f64 x z)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 x (*.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 x (*.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 x (*.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (*.f64 x (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 x (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 x (neg.f64 z))))))) |
| 1× | egg-herbie |
| 145× | fma-def_binary64 |
| 71× | fma-neg_binary64 |
| 21× | cancel-sign-sub-inv_binary64 |
| 19× | associate-*r*_binary64 |
| 18× | sub-neg_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 160 |
| 1 | 28 | 160 |
| 2 | 49 | 160 |
| 3 | 88 | 160 |
| 4 | 136 | 160 |
| 5 | 223 | 160 |
| 6 | 371 | 160 |
| 7 | 450 | 160 |
| 8 | 518 | 160 |
| 9 | 524 | 160 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 (-.f64 1 z) x) |
(*.f64 (-.f64 1 z) x) |
(*.f64 (-.f64 1 z) x) |
(*.f64 (-.f64 1 z) x) |
(*.f64 (-.f64 1 z) x) |
(*.f64 (-.f64 1 z) x) |
(*.f64 (-.f64 1 z) x) |
(*.f64 (-.f64 1 z) x) |
(*.f64 (+.f64 (*.f64 -1 z) 1) x) |
(*.f64 (+.f64 (*.f64 -1 z) 1) x) |
(*.f64 (+.f64 (*.f64 -1 z) 1) x) |
(*.f64 (+.f64 (*.f64 -1 z) 1) x) |
x |
(+.f64 (*.f64 -1 (*.f64 z x)) x) |
(+.f64 (*.f64 -1 (*.f64 z x)) x) |
(+.f64 (*.f64 -1 (*.f64 z x)) x) |
(*.f64 -1 (*.f64 z x)) |
(+.f64 (*.f64 -1 (*.f64 z x)) x) |
(+.f64 (*.f64 -1 (*.f64 z x)) x) |
(+.f64 (*.f64 -1 (*.f64 z x)) x) |
(*.f64 -1 (*.f64 z x)) |
(+.f64 (*.f64 -1 (*.f64 z x)) x) |
(+.f64 (*.f64 -1 (*.f64 z x)) x) |
(+.f64 (*.f64 -1 (*.f64 z x)) x) |
| Outputs |
|---|
(*.f64 (-.f64 1 z) x) |
(*.f64 x (-.f64 1 z)) |
(fma.f64 (neg.f64 z) x x) |
(fma.f64 z (neg.f64 x) x) |
(*.f64 (-.f64 1 z) x) |
(*.f64 x (-.f64 1 z)) |
(fma.f64 (neg.f64 z) x x) |
(fma.f64 z (neg.f64 x) x) |
(*.f64 (-.f64 1 z) x) |
(*.f64 x (-.f64 1 z)) |
(fma.f64 (neg.f64 z) x x) |
(fma.f64 z (neg.f64 x) x) |
(*.f64 (-.f64 1 z) x) |
(*.f64 x (-.f64 1 z)) |
(fma.f64 (neg.f64 z) x x) |
(fma.f64 z (neg.f64 x) x) |
(*.f64 (-.f64 1 z) x) |
(*.f64 x (-.f64 1 z)) |
(fma.f64 (neg.f64 z) x x) |
(fma.f64 z (neg.f64 x) x) |
(*.f64 (-.f64 1 z) x) |
(*.f64 x (-.f64 1 z)) |
(fma.f64 (neg.f64 z) x x) |
(fma.f64 z (neg.f64 x) x) |
(*.f64 (-.f64 1 z) x) |
(*.f64 x (-.f64 1 z)) |
(fma.f64 (neg.f64 z) x x) |
(fma.f64 z (neg.f64 x) x) |
(*.f64 (-.f64 1 z) x) |
(*.f64 x (-.f64 1 z)) |
(fma.f64 (neg.f64 z) x x) |
(fma.f64 z (neg.f64 x) x) |
(*.f64 (+.f64 (*.f64 -1 z) 1) x) |
(*.f64 x (-.f64 1 z)) |
(fma.f64 (neg.f64 z) x x) |
(fma.f64 z (neg.f64 x) x) |
(*.f64 (+.f64 (*.f64 -1 z) 1) x) |
(*.f64 x (-.f64 1 z)) |
(fma.f64 (neg.f64 z) x x) |
(fma.f64 z (neg.f64 x) x) |
(*.f64 (+.f64 (*.f64 -1 z) 1) x) |
(*.f64 x (-.f64 1 z)) |
(fma.f64 (neg.f64 z) x x) |
(fma.f64 z (neg.f64 x) x) |
(*.f64 (+.f64 (*.f64 -1 z) 1) x) |
(*.f64 x (-.f64 1 z)) |
(fma.f64 (neg.f64 z) x x) |
(fma.f64 z (neg.f64 x) x) |
x |
(+.f64 (*.f64 -1 (*.f64 z x)) x) |
(*.f64 x (-.f64 1 z)) |
(fma.f64 (neg.f64 z) x x) |
(fma.f64 z (neg.f64 x) x) |
(+.f64 (*.f64 -1 (*.f64 z x)) x) |
(*.f64 x (-.f64 1 z)) |
(fma.f64 (neg.f64 z) x x) |
(fma.f64 z (neg.f64 x) x) |
(+.f64 (*.f64 -1 (*.f64 z x)) x) |
(*.f64 x (-.f64 1 z)) |
(fma.f64 (neg.f64 z) x x) |
(fma.f64 z (neg.f64 x) x) |
(*.f64 -1 (*.f64 z x)) |
(*.f64 (neg.f64 z) x) |
(*.f64 z (neg.f64 x)) |
(+.f64 (*.f64 -1 (*.f64 z x)) x) |
(*.f64 x (-.f64 1 z)) |
(fma.f64 (neg.f64 z) x x) |
(fma.f64 z (neg.f64 x) x) |
(+.f64 (*.f64 -1 (*.f64 z x)) x) |
(*.f64 x (-.f64 1 z)) |
(fma.f64 (neg.f64 z) x x) |
(fma.f64 z (neg.f64 x) x) |
(+.f64 (*.f64 -1 (*.f64 z x)) x) |
(*.f64 x (-.f64 1 z)) |
(fma.f64 (neg.f64 z) x x) |
(fma.f64 z (neg.f64 x) x) |
(*.f64 -1 (*.f64 z x)) |
(*.f64 (neg.f64 z) x) |
(*.f64 z (neg.f64 x)) |
(+.f64 (*.f64 -1 (*.f64 z x)) x) |
(*.f64 x (-.f64 1 z)) |
(fma.f64 (neg.f64 z) x x) |
(fma.f64 z (neg.f64 x) x) |
(+.f64 (*.f64 -1 (*.f64 z x)) x) |
(*.f64 x (-.f64 1 z)) |
(fma.f64 (neg.f64 z) x x) |
(fma.f64 z (neg.f64 x) x) |
(+.f64 (*.f64 -1 (*.f64 z x)) x) |
(*.f64 x (-.f64 1 z)) |
(fma.f64 (neg.f64 z) x x) |
(fma.f64 z (neg.f64 x) x) |
Compiled 2370 to 717 computations (69.7% saved)
8 alts after pruning (3 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 196 | 3 | 199 |
| Fresh | 1 | 0 | 1 |
| Picked | 0 | 1 | 1 |
| Done | 1 | 4 | 5 |
| Total | 198 | 8 | 206 |
| Status | Error | Program |
|---|---|---|
| ▶ | 26.4b | (+.f64 (*.f64 z y) (*.f64 z (neg.f64 x))) |
| ▶ | 52.5b | (*.f64 z (neg.f64 x)) |
| ✓ | 0.0b | (+.f64 x (*.f64 (-.f64 y x) z)) |
| ✓ | 26.7b | (-.f64 x (*.f64 z x)) |
| ✓ | 36.2b | (*.f64 z y) |
| 36.9b | x | |
| ✓ | 26.4b | (*.f64 (-.f64 y x) z) |
| ✓ | 0.0b | (fma.f64 (-.f64 y x) z x) |
Compiled 63 to 40 computations (36.5% saved)
Compiled 11 to 5 computations (54.5% saved)
Compiled 23 to 7 computations (69.6% saved)
Compiled 3 to 3 computations (0% saved)
8 alts after pruning (1 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 0 | 0 | 0 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 6 | 6 |
| Total | 0 | 8 | 8 |
| Status | Error | Program |
|---|---|---|
| ✓ | 26.4b | (+.f64 (*.f64 z y) (*.f64 z (neg.f64 x))) |
| ✓ | 52.5b | (*.f64 z (neg.f64 x)) |
| ✓ | 0.0b | (+.f64 x (*.f64 (-.f64 y x) z)) |
| ✓ | 26.7b | (-.f64 x (*.f64 z x)) |
| ✓ | 36.2b | (*.f64 z y) |
| 36.9b | x | |
| ✓ | 26.4b | (*.f64 (-.f64 y x) z) |
| ✓ | 0.0b | (fma.f64 (-.f64 y x) z x) |
Compiled 63 to 40 computations (36.5% saved)
Compiled 3 to 3 computations (0% saved)
8 alts after pruning (1 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 0 | 0 | 0 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 7 | 7 |
| Total | 0 | 8 | 8 |
| Status | Error | Program |
|---|---|---|
| ✓ | 26.4b | (+.f64 (*.f64 z y) (*.f64 z (neg.f64 x))) |
| ✓ | 52.5b | (*.f64 z (neg.f64 x)) |
| ✓ | 0.0b | (+.f64 x (*.f64 (-.f64 y x) z)) |
| ✓ | 26.7b | (-.f64 x (*.f64 z x)) |
| ✓ | 36.2b | (*.f64 z y) |
| 36.9b | x | |
| ✓ | 26.4b | (*.f64 (-.f64 y x) z) |
| ✓ | 0.0b | (fma.f64 (-.f64 y x) z x) |
Compiled 63 to 40 computations (36.5% saved)
| Inputs |
|---|
x |
x |
(*.f64 z y) |
(*.f64 z (neg.f64 x)) |
(-.f64 x (*.f64 z x)) |
(*.f64 (-.f64 y x) z) |
(+.f64 x (*.f64 (-.f64 y x) z)) |
(+.f64 (*.f64 z y) (*.f64 z (neg.f64 x))) |
(+.f64 x (+.f64 (*.f64 z y) (*.f64 z (neg.f64 x)))) |
(fma.f64 (-.f64 y x) z x) |
| Outputs |
|---|
(fma.f64 (-.f64 y x) z x) |
4 calls:
| 45.0ms | (+.f64 x (*.f64 (-.f64 y x) z)) |
| 9.0ms | y |
| 7.0ms | x |
| 7.0ms | z |
| Error | Segments | Branch |
|---|---|---|
| 0.0b | 1 | x |
| 0.0b | 1 | y |
| 0.0b | 1 | z |
| 0.0b | 1 | (+.f64 x (*.f64 (-.f64 y x) z)) |
Compiled 75 to 29 computations (61.3% saved)
| Inputs |
|---|
x |
x |
(*.f64 z y) |
(*.f64 z (neg.f64 x)) |
(-.f64 x (*.f64 z x)) |
(*.f64 (-.f64 y x) z) |
(+.f64 x (*.f64 (-.f64 y x) z)) |
(+.f64 (*.f64 z y) (*.f64 z (neg.f64 x))) |
(+.f64 x (+.f64 (*.f64 z y) (*.f64 z (neg.f64 x)))) |
| Outputs |
|---|
(+.f64 x (*.f64 (-.f64 y x) z)) |
4 calls:
| 30.0ms | z |
| 11.0ms | x |
| 6.0ms | y |
| 6.0ms | (+.f64 x (*.f64 (-.f64 y x) z)) |
| Error | Segments | Branch |
|---|---|---|
| 0.0b | 1 | x |
| 0.0b | 1 | y |
| 0.0b | 1 | z |
| 0.0b | 1 | (+.f64 x (*.f64 (-.f64 y x) z)) |
Compiled 69 to 28 computations (59.4% saved)
| Inputs |
|---|
x |
x |
(*.f64 z y) |
(*.f64 z (neg.f64 x)) |
(-.f64 x (*.f64 z x)) |
(*.f64 (-.f64 y x) z) |
| Outputs |
|---|
(-.f64 x (*.f64 z x)) |
(*.f64 (-.f64 y x) z) |
(-.f64 x (*.f64 z x)) |
(*.f64 (-.f64 y x) z) |
(-.f64 x (*.f64 z x)) |
3 calls:
| 37.0ms | z |
| 37.0ms | y |
| 23.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 9.3b | 5 | x |
| 12.6b | 5 | y |
| 11.2b | 7 | z |
Compiled 34 to 19 computations (44.1% saved)
| 4× | binary-search |
| Time | Left | Right |
|---|---|---|
| 18.0ms | 342084583155.1468 | 5632058787005.605 |
| 17.0ms | 3.644563165998775e-114 | 5.2690653497767434e-107 |
| 35.0ms | 6.311728770155945e-174 | 9.40927810967078e-173 |
| 20.0ms | -9.065514324971067e+64 | -5.7938794827708105e+56 |
Compiled 16 to 11 computations (31.3% saved)
| Inputs |
|---|
x |
x |
(*.f64 z y) |
(*.f64 z (neg.f64 x)) |
(-.f64 x (*.f64 z x)) |
| Outputs |
|---|
(-.f64 x (*.f64 z x)) |
(*.f64 z y) |
(-.f64 x (*.f64 z x)) |
(*.f64 z y) |
(-.f64 x (*.f64 z x)) |
3 calls:
| 170.0ms | z |
| 69.0ms | x |
| 35.0ms | y |
| Error | Segments | Branch |
|---|---|---|
| 12.6b | 5 | x |
| 15.7b | 5 | y |
| 18.6b | 11 | z |
Compiled 29 to 17 computations (41.4% saved)
| 4× | binary-search |
| Time | Left | Right |
|---|---|---|
| 32.0ms | 8.640540750021597e-44 | 6.263395590282168e-42 |
| 33.0ms | 7.977203018991137e-92 | 2.39808854517034e-89 |
| 103.0ms | 1.3781894118032272e-182 | 4.3617057219657785e-179 |
| 32.0ms | -1.2497137103244571e-22 | -1.5186288088751217e-28 |
Compiled 16 to 11 computations (31.3% saved)
| Inputs |
|---|
x |
x |
(*.f64 z y) |
(*.f64 z (neg.f64 x)) |
| Outputs |
|---|
x |
(*.f64 z y) |
x |
(*.f64 z y) |
x |
3 calls:
| 140.0ms | z |
| 74.0ms | x |
| 55.0ms | y |
| Error | Segments | Branch |
|---|---|---|
| 19.6b | 5 | x |
| 22.7b | 5 | y |
| 19.7b | 9 | z |
Compiled 24 to 15 computations (37.5% saved)
| 4× | binary-search |
| Time | Left | Right |
|---|---|---|
| 32.0ms | 342084583155.1468 | 5632058787005.605 |
| 87.0ms | 7.977203018991137e-92 | 2.39808854517034e-89 |
| 70.0ms | 6.311728770155945e-174 | 9.40927810967078e-173 |
| 33.0ms | -9.065514324971067e+64 | -5.7938794827708105e+56 |
Compiled 16 to 11 computations (31.3% saved)
Total 0.0b remaining (0%)
Threshold costs 0.0b (0%)
| Inputs |
|---|
x |
x |
| Outputs |
|---|
x |
3 calls:
| 9.0ms | x |
| 3.0ms | y |
| 3.0ms | z |
| Error | Segments | Branch |
|---|---|---|
| 36.9b | 1 | x |
| 36.9b | 1 | y |
| 36.9b | 1 | z |
Compiled 17 to 12 computations (29.4% saved)
| 1× | egg-herbie |
| 6× | +-commutative_binary64 |
| 6× | *-commutative_binary64 |
| 5× | sub-neg_binary64 |
| 3× | neg-sub0_binary64 |
| 3× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 40 | 166 |
| 1 | 51 | 166 |
| 2 | 65 | 166 |
| 3 | 71 | 166 |
| 4 | 74 | 166 |
| 1× | fuel |
| 1× | saturated |
| Inputs |
|---|
(fma.f64 (-.f64 y x) z x) |
(+.f64 x (*.f64 (-.f64 y x) z)) |
(if (<=.f64 x -90655143249710670095659124403813299921422038442343118070221897728) (-.f64 x (*.f64 z x)) (if (<=.f64 x 7030490163177263/1113877103911668754551067286547922686741510866027480451801560673315252726369306002564920119950530126899082595110740822097336109551117050292542153642510306198303709637294986560078826707091456) (*.f64 (-.f64 y x) z) (if (<=.f64 x 2526292459668453/693167423530203714894603546035770925859109268843954143792619895153655326951406405759993601526034894524347802740350892957243539456) (-.f64 x (*.f64 z x)) (if (<=.f64 x 5604713810413925/16384) (*.f64 (-.f64 y x) z) (-.f64 x (*.f64 z x)))))) |
(if (<=.f64 x -42525553932275432/340282366920938463463374607431768211456) (-.f64 x (*.f64 z x)) (if (<=.f64 x 4120842961674493/299004108316488185848867822351174292268202623451041623610437960853046897358187881202051502002495252055893102400215083077513294952620060704653486412249315029041282722978874323768631243063073425063936) (*.f64 z y) (if (<=.f64 x 2927312653364479/36695977855841144185773134324833391052745039826692497979801421430190766017415756929120296849762010984873984) (-.f64 x (*.f64 z x)) (if (<=.f64 x 542375533366399/6277101735386680763835789423207666416102355444464034512896) (*.f64 z y) (-.f64 x (*.f64 z x)))))) |
(if (<=.f64 x -90655143249710670095659124403813299921422038442343118070221897728) x (if (<=.f64 x 7030490163177263/1113877103911668754551067286547922686741510866027480451801560673315252726369306002564920119950530126899082595110740822097336109551117050292542153642510306198303709637294986560078826707091456) (*.f64 z y) (if (<=.f64 x 2927312653364479/36695977855841144185773134324833391052745039826692497979801421430190766017415756929120296849762010984873984) x (if (<=.f64 x 5604713810413925/16384) (*.f64 z y) x)))) |
x |
| Outputs |
|---|
(fma.f64 (-.f64 y x) z x) |
(+.f64 x (*.f64 (-.f64 y x) z)) |
(if (<=.f64 x -90655143249710670095659124403813299921422038442343118070221897728) (-.f64 x (*.f64 z x)) (if (<=.f64 x 7030490163177263/1113877103911668754551067286547922686741510866027480451801560673315252726369306002564920119950530126899082595110740822097336109551117050292542153642510306198303709637294986560078826707091456) (*.f64 (-.f64 y x) z) (if (<=.f64 x 2526292459668453/693167423530203714894603546035770925859109268843954143792619895153655326951406405759993601526034894524347802740350892957243539456) (-.f64 x (*.f64 z x)) (if (<=.f64 x 5604713810413925/16384) (*.f64 (-.f64 y x) z) (-.f64 x (*.f64 z x)))))) |
(if (<=.f64 x -90655143249710670095659124403813299921422038442343118070221897728) (-.f64 x (*.f64 x z)) (if (<=.f64 x 7030490163177263/1113877103911668754551067286547922686741510866027480451801560673315252726369306002564920119950530126899082595110740822097336109551117050292542153642510306198303709637294986560078826707091456) (*.f64 (-.f64 y x) z) (if (<=.f64 x 2526292459668453/693167423530203714894603546035770925859109268843954143792619895153655326951406405759993601526034894524347802740350892957243539456) (-.f64 x (*.f64 x z)) (if (<=.f64 x 5604713810413925/16384) (*.f64 (-.f64 y x) z) (-.f64 x (*.f64 x z)))))) |
(if (<=.f64 x -42525553932275432/340282366920938463463374607431768211456) (-.f64 x (*.f64 z x)) (if (<=.f64 x 4120842961674493/299004108316488185848867822351174292268202623451041623610437960853046897358187881202051502002495252055893102400215083077513294952620060704653486412249315029041282722978874323768631243063073425063936) (*.f64 z y) (if (<=.f64 x 2927312653364479/36695977855841144185773134324833391052745039826692497979801421430190766017415756929120296849762010984873984) (-.f64 x (*.f64 z x)) (if (<=.f64 x 542375533366399/6277101735386680763835789423207666416102355444464034512896) (*.f64 z y) (-.f64 x (*.f64 z x)))))) |
(if (<=.f64 x -5315694241534429/42535295865117307932921825928971026432) (-.f64 x (*.f64 x z)) (if (<=.f64 x 4120842961674493/299004108316488185848867822351174292268202623451041623610437960853046897358187881202051502002495252055893102400215083077513294952620060704653486412249315029041282722978874323768631243063073425063936) (*.f64 y z) (if (<=.f64 x 2927312653364479/36695977855841144185773134324833391052745039826692497979801421430190766017415756929120296849762010984873984) (-.f64 x (*.f64 x z)) (if (<=.f64 x 542375533366399/6277101735386680763835789423207666416102355444464034512896) (*.f64 y z) (-.f64 x (*.f64 x z)))))) |
(if (<=.f64 x -90655143249710670095659124403813299921422038442343118070221897728) x (if (<=.f64 x 7030490163177263/1113877103911668754551067286547922686741510866027480451801560673315252726369306002564920119950530126899082595110740822097336109551117050292542153642510306198303709637294986560078826707091456) (*.f64 z y) (if (<=.f64 x 2927312653364479/36695977855841144185773134324833391052745039826692497979801421430190766017415756929120296849762010984873984) x (if (<=.f64 x 5604713810413925/16384) (*.f64 z y) x)))) |
(if (<=.f64 x -90655143249710670095659124403813299921422038442343118070221897728) x (if (<=.f64 x 7030490163177263/1113877103911668754551067286547922686741510866027480451801560673315252726369306002564920119950530126899082595110740822097336109551117050292542153642510306198303709637294986560078826707091456) (*.f64 y z) (if (<=.f64 x 2927312653364479/36695977855841144185773134324833391052745039826692497979801421430190766017415756929120296849762010984873984) x (if (<=.f64 x 5604713810413925/16384) (*.f64 y z) x)))) |
x |
Compiled 135 to 67 computations (50.4% saved)
| 1× | egg-herbie |
| 272× | fma-def_binary64 |
| 251× | fma-neg_binary64 |
| 71× | cancel-sign-sub-inv_binary64 |
| 54× | distribute-rgt-in_binary64 |
| 41× | sub-neg_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 10 |
| 1 | 11 | 8 |
| 2 | 24 | 8 |
| 3 | 52 | 8 |
| 4 | 100 | 8 |
| 5 | 171 | 8 |
| 6 | 283 | 8 |
| 7 | 482 | 8 |
| 8 | 873 | 8 |
| 9 | 1114 | 8 |
| 10 | 1214 | 8 |
| 11 | 1221 | 8 |
| 1× | saturated |
Compiled 29 to 17 computations (41.4% saved)
Compiled 120 to 46 computations (61.7% saved)
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