Time bar (total: 4.0s)
| 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 |
| 25% | 72.5% | 2.5% | 9 |
| 34.3% | 59.3% | 6.4% | 10 |
| 40.6% | 51.3% | 8.1% | 11 |
| 46.8% | 43% | 10.2% | 12 |
Compiled 11 to 7 computations (36.4% saved)
| 1.3s | 8256× | body | 256 | valid |
| 125.0ms | 1114× | body | 256 | invalid |
| 2× | egg-herbie |
| 855× | 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 | 653 | 32 |
| 6 | 1268 | 32 |
| 7 | 2004 | 32 |
| 8 | 2733 | 32 |
| 9 | 2896 | 32 |
| 10 | 2924 | 32 |
| 11 | 2924 | 32 |
| 0 | 3 | 3 |
| 1× | saturated |
| 1× | saturated |
| Inputs |
|---|
0 |
1 |
2 |
| Outputs |
|---|
0 |
1 |
2 |
| Inputs |
|---|
(+.f64 x (*.f64 y (-.f64 z x))) |
(+.f64 y (*.f64 x (-.f64 z y))) |
(+.f64 z (*.f64 y (-.f64 x z))) |
(+.f64 x (*.f64 z (-.f64 y x))) |
| Outputs |
|---|
(+.f64 x (*.f64 y (-.f64 z x))) |
(fma.f64 y (-.f64 z x) x) |
(+.f64 y (*.f64 x (-.f64 z y))) |
(fma.f64 x (-.f64 z y) y) |
(+.f64 z (*.f64 y (-.f64 x z))) |
(fma.f64 y (-.f64 x z) z) |
(+.f64 x (*.f64 z (-.f64 y x))) |
(fma.f64 z (-.f64 y x) x) |
Compiled 13 to 9 computations (30.8% saved)
| 1× | egg-herbie |
| 274× | fma-def_binary64 |
| 247× | fma-neg_binary64 |
| 71× | cancel-sign-sub-inv_binary64 |
| 54× | distribute-rgt-in_binary64 |
| 40× | 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 | 281 | 8 |
| 7 | 480 | 8 |
| 8 | 871 | 8 |
| 9 | 1107 | 8 |
| 10 | 1207 | 8 |
| 11 | 1214 | 8 |
| 1× | saturated |
| Inputs |
|---|
(+.f64 x (*.f64 y (-.f64 z x))) |
| Outputs |
|---|
(+.f64 x (*.f64 y (-.f64 z x))) |
(fma.f64 y (-.f64 z x) 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 | (fma.f64 y (-.f64 z x) x) |
| ▶ | 0.0b | (+.f64 x (*.f64 y (-.f64 z x))) |
Compiled 19 to 11 computations (42.1% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 x (*.f64 y (-.f64 z x))) |
| ✓ | 0.0b | (*.f64 y (-.f64 z x)) |
Compiled 21 to 6 computations (71.4% saved)
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | z | @ | -inf | (*.f64 y (-.f64 z x)) |
| 1.0ms | y | @ | 0 | (*.f64 y (-.f64 z x)) |
| 1.0ms | y | @ | inf | (+.f64 x (*.f64 y (-.f64 z x))) |
| 1.0ms | z | @ | inf | (*.f64 y (-.f64 z x)) |
| 1.0ms | y | @ | inf | (*.f64 y (-.f64 z x)) |
| 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 y (-.f64 z x)) |
(+.f64 x (*.f64 y (-.f64 z x))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 z y) (*.f64 (neg.f64 x) y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y z) (*.f64 y (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 y (-.f64 z x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 z 3) (pow.f64 x 3)) y) (fma.f64 z z (*.f64 x (+.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 z z) (*.f64 x x)) y) (+.f64 z x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (-.f64 (pow.f64 z 3) (pow.f64 x 3))) (fma.f64 z z (*.f64 x (+.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (-.f64 (*.f64 z z) (*.f64 x x))) (+.f64 z x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y (-.f64 z x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 y (-.f64 z x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 y (-.f64 z x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 y (-.f64 z x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 y (-.f64 z x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 y) (-.f64 z x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 y (-.f64 z x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 y (-.f64 z x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 y (-.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 y (-.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 y (-.f64 z x)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 y (-.f64 z x) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 y (-.f64 z x)))) (/.f64 (pow.f64 (*.f64 y (-.f64 z x)) 2) (-.f64 x (*.f64 y (-.f64 z x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 y (-.f64 z x) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 y (-.f64 z x) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 y (-.f64 z x) x)) (pow.f64 (cbrt.f64 (fma.f64 y (-.f64 z x) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 y (-.f64 z x) x)) 2) (cbrt.f64 (fma.f64 y (-.f64 z x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 y (-.f64 z x) x)) (sqrt.f64 (fma.f64 y (-.f64 z x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 y (-.f64 z x)) 3)) (/.f64 1 (fma.f64 x x (*.f64 (*.f64 y (-.f64 z x)) (-.f64 (*.f64 y (-.f64 z x)) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 y (-.f64 z x)) 2)) (/.f64 1 (-.f64 x (*.f64 y (-.f64 z x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x x (*.f64 (*.f64 y (-.f64 z x)) (-.f64 (*.f64 y (-.f64 z x)) x))) (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 y (-.f64 z x)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 x (*.f64 y (-.f64 z x))) (-.f64 (*.f64 x x) (pow.f64 (*.f64 y (-.f64 z x)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 y (-.f64 z x)) 3)) (fma.f64 x x (*.f64 (*.f64 y (-.f64 z x)) (-.f64 (*.f64 y (-.f64 z x)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 y (-.f64 z x)) 3)) (+.f64 (pow.f64 (*.f64 y (-.f64 z x)) 2) (-.f64 (*.f64 x x) (*.f64 (*.f64 x y) (-.f64 z x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 y (-.f64 z x)) 2)) (-.f64 x (*.f64 y (-.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 y (-.f64 z x)) 3))) (neg.f64 (fma.f64 x x (*.f64 (*.f64 y (-.f64 z x)) (-.f64 (*.f64 y (-.f64 z x)) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 y (-.f64 z x)) 2))) (neg.f64 (-.f64 x (*.f64 y (-.f64 z x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 y (-.f64 z x)) 2) (*.f64 x x)) (-.f64 (*.f64 y (-.f64 z x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 y (-.f64 z x) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 y (-.f64 z x) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 y (-.f64 z x) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 y (-.f64 z x) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 y (-.f64 z x) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 y (-.f64 z x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 y (-.f64 z x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 y (-.f64 z x) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 y (-.f64 z x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 y (-.f64 z x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 y (-.f64 z x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y (-.f64 z x) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 z x) y x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (*.f64 y (-.f64 z x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 y (-.f64 z x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 y (-.f64 z x))) 2) (cbrt.f64 (*.f64 y (-.f64 z x))) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 y (-.f64 z x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 y (-.f64 z x))) (sqrt.f64 (*.f64 y (-.f64 z x))) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 y (-.f64 z x))))))) |
| 1× | egg-herbie |
| 400× | fma-def_binary64 |
| 300× | fma-neg_binary64 |
| 64× | cancel-sign-sub-inv_binary64 |
| 60× | distribute-rgt-in_binary64 |
| 43× | associate--r+_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 24 | 621 |
| 1 | 58 | 420 |
| 2 | 113 | 420 |
| 3 | 208 | 420 |
| 4 | 369 | 420 |
| 5 | 676 | 420 |
| 6 | 1059 | 420 |
| 7 | 1298 | 420 |
| 8 | 1417 | 420 |
| 9 | 1419 | 420 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 -1 (*.f64 y x)) |
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 y x))) |
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 y x))) |
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 y x))) |
(*.f64 y z) |
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 y x))) |
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 y x))) |
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 y x))) |
(*.f64 y z) |
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 y x))) |
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 y x))) |
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 y x))) |
(*.f64 y z) |
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 y x))) |
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 y x))) |
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 y x))) |
(*.f64 -1 (*.f64 y x)) |
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 y x))) |
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 y x))) |
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 y x))) |
(*.f64 -1 (*.f64 y x)) |
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 y x))) |
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 y x))) |
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 y x))) |
(*.f64 y z) |
(+.f64 (*.f64 y z) (*.f64 (+.f64 1 (*.f64 -1 y)) x)) |
(+.f64 (*.f64 y z) (*.f64 (+.f64 1 (*.f64 -1 y)) x)) |
(+.f64 (*.f64 y z) (*.f64 (+.f64 1 (*.f64 -1 y)) x)) |
(*.f64 (+.f64 1 (*.f64 -1 y)) x) |
(+.f64 (*.f64 y z) (*.f64 (+.f64 1 (*.f64 -1 y)) x)) |
(+.f64 (*.f64 y z) (*.f64 (+.f64 1 (*.f64 -1 y)) x)) |
(+.f64 (*.f64 y z) (*.f64 (+.f64 1 (*.f64 -1 y)) x)) |
(*.f64 -1 (*.f64 (-.f64 y 1) x)) |
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 (-.f64 y 1) x))) |
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 (-.f64 y 1) x))) |
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 (-.f64 y 1) x))) |
x |
(+.f64 (*.f64 y (-.f64 z x)) x) |
(+.f64 (*.f64 y (-.f64 z x)) x) |
(+.f64 (*.f64 y (-.f64 z x)) x) |
(*.f64 y (-.f64 z x)) |
(+.f64 (*.f64 y (-.f64 z x)) x) |
(+.f64 (*.f64 y (-.f64 z x)) x) |
(+.f64 (*.f64 y (-.f64 z x)) x) |
(*.f64 y (-.f64 z x)) |
(+.f64 (*.f64 y (-.f64 z x)) x) |
(+.f64 (*.f64 y (-.f64 z x)) x) |
(+.f64 (*.f64 y (-.f64 z x)) x) |
(+.f64 (*.f64 -1 (*.f64 y x)) x) |
(+.f64 (*.f64 y z) (+.f64 x (*.f64 -1 (*.f64 y x)))) |
(+.f64 (*.f64 y z) (+.f64 x (*.f64 -1 (*.f64 y x)))) |
(+.f64 (*.f64 y z) (+.f64 x (*.f64 -1 (*.f64 y x)))) |
(*.f64 y z) |
(+.f64 (*.f64 y z) (+.f64 x (*.f64 -1 (*.f64 y x)))) |
(+.f64 (*.f64 y z) (+.f64 x (*.f64 -1 (*.f64 y x)))) |
(+.f64 (*.f64 y z) (+.f64 x (*.f64 -1 (*.f64 y x)))) |
(*.f64 y z) |
(+.f64 (*.f64 y z) (+.f64 x (*.f64 -1 (*.f64 y x)))) |
(+.f64 (*.f64 y z) (+.f64 x (*.f64 -1 (*.f64 y x)))) |
(+.f64 (*.f64 y z) (+.f64 x (*.f64 -1 (*.f64 y x)))) |
| Outputs |
|---|
(*.f64 -1 (*.f64 y x)) |
(*.f64 (neg.f64 y) x) |
(*.f64 y (neg.f64 x)) |
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 y x))) |
(fma.f64 y z (*.f64 (neg.f64 y) x)) |
(*.f64 y (-.f64 z x)) |
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 y x))) |
(fma.f64 y z (*.f64 (neg.f64 y) x)) |
(*.f64 y (-.f64 z x)) |
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 y x))) |
(fma.f64 y z (*.f64 (neg.f64 y) x)) |
(*.f64 y (-.f64 z x)) |
(*.f64 y z) |
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 y x))) |
(fma.f64 y z (*.f64 (neg.f64 y) x)) |
(*.f64 y (-.f64 z x)) |
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 y x))) |
(fma.f64 y z (*.f64 (neg.f64 y) x)) |
(*.f64 y (-.f64 z x)) |
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 y x))) |
(fma.f64 y z (*.f64 (neg.f64 y) x)) |
(*.f64 y (-.f64 z x)) |
(*.f64 y z) |
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 y x))) |
(fma.f64 y z (*.f64 (neg.f64 y) x)) |
(*.f64 y (-.f64 z x)) |
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 y x))) |
(fma.f64 y z (*.f64 (neg.f64 y) x)) |
(*.f64 y (-.f64 z x)) |
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 y x))) |
(fma.f64 y z (*.f64 (neg.f64 y) x)) |
(*.f64 y (-.f64 z x)) |
(*.f64 y z) |
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 y x))) |
(fma.f64 y z (*.f64 (neg.f64 y) x)) |
(*.f64 y (-.f64 z x)) |
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 y x))) |
(fma.f64 y z (*.f64 (neg.f64 y) x)) |
(*.f64 y (-.f64 z x)) |
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 y x))) |
(fma.f64 y z (*.f64 (neg.f64 y) x)) |
(*.f64 y (-.f64 z x)) |
(*.f64 -1 (*.f64 y x)) |
(*.f64 (neg.f64 y) x) |
(*.f64 y (neg.f64 x)) |
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 y x))) |
(fma.f64 y z (*.f64 (neg.f64 y) x)) |
(*.f64 y (-.f64 z x)) |
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 y x))) |
(fma.f64 y z (*.f64 (neg.f64 y) x)) |
(*.f64 y (-.f64 z x)) |
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 y x))) |
(fma.f64 y z (*.f64 (neg.f64 y) x)) |
(*.f64 y (-.f64 z x)) |
(*.f64 -1 (*.f64 y x)) |
(*.f64 (neg.f64 y) x) |
(*.f64 y (neg.f64 x)) |
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 y x))) |
(fma.f64 y z (*.f64 (neg.f64 y) x)) |
(*.f64 y (-.f64 z x)) |
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 y x))) |
(fma.f64 y z (*.f64 (neg.f64 y) x)) |
(*.f64 y (-.f64 z x)) |
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 y x))) |
(fma.f64 y z (*.f64 (neg.f64 y) x)) |
(*.f64 y (-.f64 z x)) |
(*.f64 y z) |
(+.f64 (*.f64 y z) (*.f64 (+.f64 1 (*.f64 -1 y)) x)) |
(fma.f64 y z (*.f64 x (+.f64 1 (neg.f64 y)))) |
(fma.f64 y (-.f64 z x) x) |
(+.f64 (*.f64 y z) (*.f64 (+.f64 1 (*.f64 -1 y)) x)) |
(fma.f64 y z (*.f64 x (+.f64 1 (neg.f64 y)))) |
(fma.f64 y (-.f64 z x) x) |
(+.f64 (*.f64 y z) (*.f64 (+.f64 1 (*.f64 -1 y)) x)) |
(fma.f64 y z (*.f64 x (+.f64 1 (neg.f64 y)))) |
(fma.f64 y (-.f64 z x) x) |
(*.f64 (+.f64 1 (*.f64 -1 y)) x) |
(*.f64 x (+.f64 1 (neg.f64 y))) |
(-.f64 x (*.f64 y x)) |
(fma.f64 y (neg.f64 x) x) |
(+.f64 (*.f64 y z) (*.f64 (+.f64 1 (*.f64 -1 y)) x)) |
(fma.f64 y z (*.f64 x (+.f64 1 (neg.f64 y)))) |
(fma.f64 y (-.f64 z x) x) |
(+.f64 (*.f64 y z) (*.f64 (+.f64 1 (*.f64 -1 y)) x)) |
(fma.f64 y z (*.f64 x (+.f64 1 (neg.f64 y)))) |
(fma.f64 y (-.f64 z x) x) |
(+.f64 (*.f64 y z) (*.f64 (+.f64 1 (*.f64 -1 y)) x)) |
(fma.f64 y z (*.f64 x (+.f64 1 (neg.f64 y)))) |
(fma.f64 y (-.f64 z x) x) |
(*.f64 -1 (*.f64 (-.f64 y 1) x)) |
(*.f64 x (+.f64 1 (neg.f64 y))) |
(-.f64 x (*.f64 y x)) |
(fma.f64 y (neg.f64 x) x) |
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 (-.f64 y 1) x))) |
(fma.f64 y z (*.f64 x (+.f64 1 (neg.f64 y)))) |
(fma.f64 y (-.f64 z x) x) |
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 (-.f64 y 1) x))) |
(fma.f64 y z (*.f64 x (+.f64 1 (neg.f64 y)))) |
(fma.f64 y (-.f64 z x) x) |
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 (-.f64 y 1) x))) |
(fma.f64 y z (*.f64 x (+.f64 1 (neg.f64 y)))) |
(fma.f64 y (-.f64 z x) x) |
x |
(+.f64 (*.f64 y (-.f64 z x)) x) |
(fma.f64 y z (*.f64 x (+.f64 1 (neg.f64 y)))) |
(fma.f64 y (-.f64 z x) x) |
(+.f64 (*.f64 y (-.f64 z x)) x) |
(fma.f64 y z (*.f64 x (+.f64 1 (neg.f64 y)))) |
(fma.f64 y (-.f64 z x) x) |
(+.f64 (*.f64 y (-.f64 z x)) x) |
(fma.f64 y z (*.f64 x (+.f64 1 (neg.f64 y)))) |
(fma.f64 y (-.f64 z x) x) |
(*.f64 y (-.f64 z x)) |
(fma.f64 y z (*.f64 (neg.f64 y) x)) |
(+.f64 (*.f64 y (-.f64 z x)) x) |
(fma.f64 y z (*.f64 x (+.f64 1 (neg.f64 y)))) |
(fma.f64 y (-.f64 z x) x) |
(+.f64 (*.f64 y (-.f64 z x)) x) |
(fma.f64 y z (*.f64 x (+.f64 1 (neg.f64 y)))) |
(fma.f64 y (-.f64 z x) x) |
(+.f64 (*.f64 y (-.f64 z x)) x) |
(fma.f64 y z (*.f64 x (+.f64 1 (neg.f64 y)))) |
(fma.f64 y (-.f64 z x) x) |
(*.f64 y (-.f64 z x)) |
(fma.f64 y z (*.f64 (neg.f64 y) x)) |
(+.f64 (*.f64 y (-.f64 z x)) x) |
(fma.f64 y z (*.f64 x (+.f64 1 (neg.f64 y)))) |
(fma.f64 y (-.f64 z x) x) |
(+.f64 (*.f64 y (-.f64 z x)) x) |
(fma.f64 y z (*.f64 x (+.f64 1 (neg.f64 y)))) |
(fma.f64 y (-.f64 z x) x) |
(+.f64 (*.f64 y (-.f64 z x)) x) |
(fma.f64 y z (*.f64 x (+.f64 1 (neg.f64 y)))) |
(fma.f64 y (-.f64 z x) x) |
(+.f64 (*.f64 -1 (*.f64 y x)) x) |
(*.f64 x (+.f64 1 (neg.f64 y))) |
(-.f64 x (*.f64 y x)) |
(fma.f64 y (neg.f64 x) x) |
(+.f64 (*.f64 y z) (+.f64 x (*.f64 -1 (*.f64 y x)))) |
(fma.f64 y z (*.f64 x (+.f64 1 (neg.f64 y)))) |
(fma.f64 y (-.f64 z x) x) |
(+.f64 (*.f64 y z) (+.f64 x (*.f64 -1 (*.f64 y x)))) |
(fma.f64 y z (*.f64 x (+.f64 1 (neg.f64 y)))) |
(fma.f64 y (-.f64 z x) x) |
(+.f64 (*.f64 y z) (+.f64 x (*.f64 -1 (*.f64 y x)))) |
(fma.f64 y z (*.f64 x (+.f64 1 (neg.f64 y)))) |
(fma.f64 y (-.f64 z x) x) |
(*.f64 y z) |
(+.f64 (*.f64 y z) (+.f64 x (*.f64 -1 (*.f64 y x)))) |
(fma.f64 y z (*.f64 x (+.f64 1 (neg.f64 y)))) |
(fma.f64 y (-.f64 z x) x) |
(+.f64 (*.f64 y z) (+.f64 x (*.f64 -1 (*.f64 y x)))) |
(fma.f64 y z (*.f64 x (+.f64 1 (neg.f64 y)))) |
(fma.f64 y (-.f64 z x) x) |
(+.f64 (*.f64 y z) (+.f64 x (*.f64 -1 (*.f64 y x)))) |
(fma.f64 y z (*.f64 x (+.f64 1 (neg.f64 y)))) |
(fma.f64 y (-.f64 z x) x) |
(*.f64 y z) |
(+.f64 (*.f64 y z) (+.f64 x (*.f64 -1 (*.f64 y x)))) |
(fma.f64 y z (*.f64 x (+.f64 1 (neg.f64 y)))) |
(fma.f64 y (-.f64 z x) x) |
(+.f64 (*.f64 y z) (+.f64 x (*.f64 -1 (*.f64 y x)))) |
(fma.f64 y z (*.f64 x (+.f64 1 (neg.f64 y)))) |
(fma.f64 y (-.f64 z x) x) |
(+.f64 (*.f64 y z) (+.f64 x (*.f64 -1 (*.f64 y x)))) |
(fma.f64 y z (*.f64 x (+.f64 1 (neg.f64 y)))) |
(fma.f64 y (-.f64 z x) x) |
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (fma.f64 y (-.f64 z x) x) |
Compiled 15 to 5 computations (66.7% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | y | @ | -inf | (fma.f64 y (-.f64 z x) x) |
| 1.0ms | y | @ | inf | (fma.f64 y (-.f64 z x) x) |
| 1.0ms | z | @ | -inf | (fma.f64 y (-.f64 z x) x) |
| 1.0ms | x | @ | inf | (fma.f64 y (-.f64 z x) x) |
| 1.0ms | x | @ | -inf | (fma.f64 y (-.f64 z x) x) |
| 1× | batch-egg-rewrite |
| 740× | pow1_binary64 |
| 686× | add-log-exp_binary64 |
| 686× | log1p-expm1-u_binary64 |
| 686× | expm1-log1p-u_binary64 |
| 670× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 8 |
| 1 | 130 | 8 |
| 2 | 1797 | 8 |
| 1× | node limit |
| Inputs |
|---|
(fma.f64 y (-.f64 z x) x) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 y (-.f64 z x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y (-.f64 z x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 y (-.f64 z x)) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 y (-.f64 z x) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 y (-.f64 z x) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 y (-.f64 z x) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 y (-.f64 z x) x)) (pow.f64 (cbrt.f64 (fma.f64 y (-.f64 z x) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 y (-.f64 z x) x)) 2) (cbrt.f64 (fma.f64 y (-.f64 z x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 y (-.f64 z x) x)) (sqrt.f64 (fma.f64 y (-.f64 z x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 y (-.f64 z x)) 3) (pow.f64 x 3)) (+.f64 (*.f64 (*.f64 y (-.f64 z x)) (*.f64 y (-.f64 z x))) (-.f64 (*.f64 x x) (*.f64 (*.f64 y (-.f64 z x)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 y (-.f64 z x)) (*.f64 y (-.f64 z x))) (*.f64 x x)) (-.f64 (*.f64 y (-.f64 z x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 y (-.f64 z x) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 y (-.f64 z x) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 y (-.f64 z x) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 y (-.f64 z x) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 y (-.f64 z x) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 y (-.f64 z x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 y (-.f64 z x) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 y (-.f64 z x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 y (-.f64 z x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 y (-.f64 z x) x))))))) |
| 1× | egg-herbie |
| 408× | fma-def_binary64 |
| 296× | 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 | 23 | 267 |
| 1 | 55 | 264 |
| 2 | 108 | 264 |
| 3 | 209 | 264 |
| 4 | 370 | 264 |
| 5 | 669 | 264 |
| 6 | 1055 | 264 |
| 7 | 1294 | 264 |
| 8 | 1413 | 264 |
| 9 | 1415 | 264 |
| 1× | saturated |
| Inputs |
|---|
x |
(+.f64 (*.f64 y (-.f64 z x)) x) |
(+.f64 (*.f64 y (-.f64 z x)) x) |
(+.f64 (*.f64 y (-.f64 z x)) x) |
(*.f64 y (-.f64 z x)) |
(+.f64 (*.f64 y (-.f64 z x)) x) |
(+.f64 (*.f64 y (-.f64 z x)) x) |
(+.f64 (*.f64 y (-.f64 z x)) x) |
(*.f64 y (-.f64 z x)) |
(+.f64 (*.f64 y (-.f64 z x)) x) |
(+.f64 (*.f64 y (-.f64 z x)) x) |
(+.f64 (*.f64 y (-.f64 z x)) x) |
(+.f64 (*.f64 -1 (*.f64 y x)) x) |
(+.f64 (*.f64 y z) (+.f64 x (*.f64 -1 (*.f64 y x)))) |
(+.f64 (*.f64 y z) (+.f64 x (*.f64 -1 (*.f64 y x)))) |
(+.f64 (*.f64 y z) (+.f64 x (*.f64 -1 (*.f64 y x)))) |
(*.f64 y z) |
(+.f64 (*.f64 y z) (+.f64 x (*.f64 -1 (*.f64 y x)))) |
(+.f64 (*.f64 y z) (+.f64 x (*.f64 -1 (*.f64 y x)))) |
(+.f64 (*.f64 y z) (+.f64 x (*.f64 -1 (*.f64 y x)))) |
(*.f64 y z) |
(+.f64 (*.f64 y z) (+.f64 x (*.f64 -1 (*.f64 y x)))) |
(+.f64 (*.f64 y z) (+.f64 x (*.f64 -1 (*.f64 y x)))) |
(+.f64 (*.f64 y z) (+.f64 x (*.f64 -1 (*.f64 y x)))) |
(*.f64 y z) |
(+.f64 (*.f64 y z) (*.f64 (+.f64 1 (*.f64 -1 y)) x)) |
(+.f64 (*.f64 y z) (*.f64 (+.f64 1 (*.f64 -1 y)) x)) |
(+.f64 (*.f64 y z) (*.f64 (+.f64 1 (*.f64 -1 y)) x)) |
(*.f64 (+.f64 1 (*.f64 -1 y)) x) |
(+.f64 (*.f64 y z) (*.f64 (+.f64 1 (*.f64 -1 y)) x)) |
(+.f64 (*.f64 y z) (*.f64 (+.f64 1 (*.f64 -1 y)) x)) |
(+.f64 (*.f64 y z) (*.f64 (+.f64 1 (*.f64 -1 y)) x)) |
(*.f64 -1 (*.f64 (-.f64 y 1) x)) |
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 (-.f64 y 1) x))) |
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 (-.f64 y 1) x))) |
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 (-.f64 y 1) x))) |
| Outputs |
|---|
x |
(+.f64 (*.f64 y (-.f64 z x)) x) |
(fma.f64 y (-.f64 z x) x) |
(+.f64 (*.f64 y (-.f64 z x)) x) |
(fma.f64 y (-.f64 z x) x) |
(+.f64 (*.f64 y (-.f64 z x)) x) |
(fma.f64 y (-.f64 z x) x) |
(*.f64 y (-.f64 z x)) |
(+.f64 (*.f64 y (-.f64 z x)) x) |
(fma.f64 y (-.f64 z x) x) |
(+.f64 (*.f64 y (-.f64 z x)) x) |
(fma.f64 y (-.f64 z x) x) |
(+.f64 (*.f64 y (-.f64 z x)) x) |
(fma.f64 y (-.f64 z x) x) |
(*.f64 y (-.f64 z x)) |
(+.f64 (*.f64 y (-.f64 z x)) x) |
(fma.f64 y (-.f64 z x) x) |
(+.f64 (*.f64 y (-.f64 z x)) x) |
(fma.f64 y (-.f64 z x) x) |
(+.f64 (*.f64 y (-.f64 z x)) x) |
(fma.f64 y (-.f64 z x) x) |
(+.f64 (*.f64 -1 (*.f64 y x)) x) |
(fma.f64 -1 (*.f64 x y) x) |
(fma.f64 (neg.f64 y) x x) |
(fma.f64 x (neg.f64 y) x) |
(*.f64 x (-.f64 1 y)) |
(+.f64 (*.f64 y z) (+.f64 x (*.f64 -1 (*.f64 y x)))) |
(fma.f64 y (-.f64 z x) x) |
(+.f64 (*.f64 y z) (+.f64 x (*.f64 -1 (*.f64 y x)))) |
(fma.f64 y (-.f64 z x) x) |
(+.f64 (*.f64 y z) (+.f64 x (*.f64 -1 (*.f64 y x)))) |
(fma.f64 y (-.f64 z x) x) |
(*.f64 y z) |
(+.f64 (*.f64 y z) (+.f64 x (*.f64 -1 (*.f64 y x)))) |
(fma.f64 y (-.f64 z x) x) |
(+.f64 (*.f64 y z) (+.f64 x (*.f64 -1 (*.f64 y x)))) |
(fma.f64 y (-.f64 z x) x) |
(+.f64 (*.f64 y z) (+.f64 x (*.f64 -1 (*.f64 y x)))) |
(fma.f64 y (-.f64 z x) x) |
(*.f64 y z) |
(+.f64 (*.f64 y z) (+.f64 x (*.f64 -1 (*.f64 y x)))) |
(fma.f64 y (-.f64 z x) x) |
(+.f64 (*.f64 y z) (+.f64 x (*.f64 -1 (*.f64 y x)))) |
(fma.f64 y (-.f64 z x) x) |
(+.f64 (*.f64 y z) (+.f64 x (*.f64 -1 (*.f64 y x)))) |
(fma.f64 y (-.f64 z x) x) |
(*.f64 y z) |
(+.f64 (*.f64 y z) (*.f64 (+.f64 1 (*.f64 -1 y)) x)) |
(fma.f64 y (-.f64 z x) x) |
(+.f64 (*.f64 y z) (*.f64 (+.f64 1 (*.f64 -1 y)) x)) |
(fma.f64 y (-.f64 z x) x) |
(+.f64 (*.f64 y z) (*.f64 (+.f64 1 (*.f64 -1 y)) x)) |
(fma.f64 y (-.f64 z x) x) |
(*.f64 (+.f64 1 (*.f64 -1 y)) x) |
(fma.f64 -1 (*.f64 x y) x) |
(fma.f64 (neg.f64 y) x x) |
(fma.f64 x (neg.f64 y) x) |
(*.f64 x (-.f64 1 y)) |
(+.f64 (*.f64 y z) (*.f64 (+.f64 1 (*.f64 -1 y)) x)) |
(fma.f64 y (-.f64 z x) x) |
(+.f64 (*.f64 y z) (*.f64 (+.f64 1 (*.f64 -1 y)) x)) |
(fma.f64 y (-.f64 z x) x) |
(+.f64 (*.f64 y z) (*.f64 (+.f64 1 (*.f64 -1 y)) x)) |
(fma.f64 y (-.f64 z x) x) |
(*.f64 -1 (*.f64 (-.f64 y 1) x)) |
(fma.f64 -1 (*.f64 x y) x) |
(fma.f64 (neg.f64 y) x x) |
(fma.f64 x (neg.f64 y) x) |
(*.f64 x (-.f64 1 y)) |
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 (-.f64 y 1) x))) |
(fma.f64 y (-.f64 z x) x) |
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 (-.f64 y 1) x))) |
(fma.f64 y (-.f64 z x) x) |
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 (-.f64 y 1) x))) |
(fma.f64 y (-.f64 z x) x) |
Compiled 1165 to 345 computations (70.4% saved)
6 alts after pruning (5 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 96 | 5 | 101 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 1 | 0 | 1 |
| Total | 97 | 6 | 103 |
| Status | Error | Program |
|---|---|---|
| 35.1b | x | |
| ▶ | 12.7b | (+.f64 x (*.f64 y z)) |
| ✓ | 0.0b | (fma.f64 y (-.f64 z x) x) |
| ▶ | 40.4b | (*.f64 y z) |
| ▶ | 22.6b | (*.f64 x (-.f64 1 y)) |
| ▶ | 27.8b | (*.f64 y (-.f64 z x)) |
Compiled 43 to 28 computations (34.9% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (*.f64 x (-.f64 1 y)) |
Compiled 14 to 9 computations (35.7% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (*.f64 x (-.f64 1 y)) |
| 1.0ms | x | @ | -inf | (*.f64 x (-.f64 1 y)) |
| 0.0ms | x | @ | inf | (*.f64 x (-.f64 1 y)) |
| 0.0ms | y | @ | 0 | (*.f64 x (-.f64 1 y)) |
| 0.0ms | y | @ | -inf | (*.f64 x (-.f64 1 y)) |
| 1× | batch-egg-rewrite |
| 617× | pow1_binary64 |
| 572× | add-log-exp_binary64 |
| 572× | log1p-expm1-u_binary64 |
| 572× | expm1-log1p-u_binary64 |
| 561× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 7 |
| 1 | 122 | 7 |
| 2 | 1510 | 7 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 x (-.f64 1 y)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 (neg.f64 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 x (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x (-.f64 1 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 y 3)) x) (+.f64 1 (fma.f64 y y y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (*.f64 y y)) x) (+.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (-.f64 1 (pow.f64 y 3))) (+.f64 1 (fma.f64 y y y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (-.f64 1 (*.f64 y y))) (+.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (-.f64 1 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (-.f64 1 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (-.f64 1 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (-.f64 1 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (-.f64 1 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (-.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (-.f64 1 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (-.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (-.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (-.f64 1 y)))))))) |
| 1× | egg-herbie |
| 126× | fma-def_binary64 |
| 71× | fma-neg_binary64 |
| 22× | cancel-sign-sub-inv_binary64 |
| 19× | associate-*r*_binary64 |
| 18× | sub-neg_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 160 |
| 1 | 22 | 160 |
| 2 | 44 | 160 |
| 3 | 66 | 160 |
| 4 | 114 | 160 |
| 5 | 201 | 160 |
| 6 | 350 | 160 |
| 7 | 429 | 160 |
| 8 | 499 | 160 |
| 9 | 505 | 160 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 (-.f64 1 y) x) |
(*.f64 (-.f64 1 y) x) |
(*.f64 (-.f64 1 y) x) |
(*.f64 (-.f64 1 y) x) |
(*.f64 (-.f64 1 y) x) |
(*.f64 (-.f64 1 y) x) |
(*.f64 (-.f64 1 y) x) |
(*.f64 (-.f64 1 y) x) |
(*.f64 (-.f64 1 y) x) |
(*.f64 (-.f64 1 y) x) |
(*.f64 (-.f64 1 y) x) |
(*.f64 (-.f64 1 y) x) |
x |
(+.f64 (*.f64 -1 (*.f64 y x)) x) |
(+.f64 (*.f64 -1 (*.f64 y x)) x) |
(+.f64 (*.f64 -1 (*.f64 y x)) x) |
(*.f64 -1 (*.f64 y x)) |
(+.f64 x (*.f64 -1 (*.f64 y x))) |
(+.f64 x (*.f64 -1 (*.f64 y x))) |
(+.f64 x (*.f64 -1 (*.f64 y x))) |
(*.f64 -1 (*.f64 y x)) |
(+.f64 x (*.f64 -1 (*.f64 y x))) |
(+.f64 x (*.f64 -1 (*.f64 y x))) |
(+.f64 x (*.f64 -1 (*.f64 y x))) |
| Outputs |
|---|
(*.f64 (-.f64 1 y) x) |
(-.f64 x (*.f64 y x)) |
(*.f64 (-.f64 1 y) x) |
(-.f64 x (*.f64 y x)) |
(*.f64 (-.f64 1 y) x) |
(-.f64 x (*.f64 y x)) |
(*.f64 (-.f64 1 y) x) |
(-.f64 x (*.f64 y x)) |
(*.f64 (-.f64 1 y) x) |
(-.f64 x (*.f64 y x)) |
(*.f64 (-.f64 1 y) x) |
(-.f64 x (*.f64 y x)) |
(*.f64 (-.f64 1 y) x) |
(-.f64 x (*.f64 y x)) |
(*.f64 (-.f64 1 y) x) |
(-.f64 x (*.f64 y x)) |
(*.f64 (-.f64 1 y) x) |
(-.f64 x (*.f64 y x)) |
(*.f64 (-.f64 1 y) x) |
(-.f64 x (*.f64 y x)) |
(*.f64 (-.f64 1 y) x) |
(-.f64 x (*.f64 y x)) |
(*.f64 (-.f64 1 y) x) |
(-.f64 x (*.f64 y x)) |
x |
(+.f64 (*.f64 -1 (*.f64 y x)) x) |
(*.f64 (-.f64 1 y) x) |
(-.f64 x (*.f64 y x)) |
(+.f64 (*.f64 -1 (*.f64 y x)) x) |
(*.f64 (-.f64 1 y) x) |
(-.f64 x (*.f64 y x)) |
(+.f64 (*.f64 -1 (*.f64 y x)) x) |
(*.f64 (-.f64 1 y) x) |
(-.f64 x (*.f64 y x)) |
(*.f64 -1 (*.f64 y x)) |
(neg.f64 (*.f64 y x)) |
(*.f64 x (neg.f64 y)) |
(*.f64 y (neg.f64 x)) |
(+.f64 x (*.f64 -1 (*.f64 y x))) |
(*.f64 (-.f64 1 y) x) |
(-.f64 x (*.f64 y x)) |
(+.f64 x (*.f64 -1 (*.f64 y x))) |
(*.f64 (-.f64 1 y) x) |
(-.f64 x (*.f64 y x)) |
(+.f64 x (*.f64 -1 (*.f64 y x))) |
(*.f64 (-.f64 1 y) x) |
(-.f64 x (*.f64 y x)) |
(*.f64 -1 (*.f64 y x)) |
(neg.f64 (*.f64 y x)) |
(*.f64 x (neg.f64 y)) |
(*.f64 y (neg.f64 x)) |
(+.f64 x (*.f64 -1 (*.f64 y x))) |
(*.f64 (-.f64 1 y) x) |
(-.f64 x (*.f64 y x)) |
(+.f64 x (*.f64 -1 (*.f64 y x))) |
(*.f64 (-.f64 1 y) x) |
(-.f64 x (*.f64 y x)) |
(+.f64 x (*.f64 -1 (*.f64 y x))) |
(*.f64 (-.f64 1 y) x) |
(-.f64 x (*.f64 y x)) |
Compiled 8 to 4 computations (50% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (*.f64 y (-.f64 z x)) |
Compiled 14 to 5 computations (64.3% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 x (*.f64 y z)) |
Compiled 14 to 5 computations (64.3% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (+.f64 x (*.f64 y z)) |
| 0.0ms | z | @ | inf | (+.f64 x (*.f64 y z)) |
| 0.0ms | z | @ | -inf | (+.f64 x (*.f64 y z)) |
| 0.0ms | z | @ | 0 | (+.f64 x (*.f64 y z)) |
| 0.0ms | y | @ | -inf | (+.f64 x (*.f64 y z)) |
| 1× | batch-egg-rewrite |
| 713× | pow1_binary64 |
| 661× | add-log-exp_binary64 |
| 661× | log1p-expm1-u_binary64 |
| 661× | expm1-log1p-u_binary64 |
| 646× | add-exp-log_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 7 |
| 1 | 128 | 5 |
| 2 | 1779 | 5 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 x (*.f64 y z)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 y z x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 y z))) (/.f64 (pow.f64 (*.f64 y z) 2) (-.f64 x (*.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 y z x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 y z x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 y z x)) (pow.f64 (cbrt.f64 (fma.f64 y z x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 y z x)) 2) (cbrt.f64 (fma.f64 y z x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 y z x)) (sqrt.f64 (fma.f64 y z x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 y z) 3)) (/.f64 1 (fma.f64 x x (*.f64 (*.f64 y z) (-.f64 (*.f64 y z) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 y z) 2)) (/.f64 1 (-.f64 x (*.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x x (*.f64 (*.f64 y z) (-.f64 (*.f64 y z) x))) (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 y z) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 x (*.f64 y z)) (-.f64 (*.f64 x x) (pow.f64 (*.f64 y z) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 y z) 3)) (fma.f64 x x (*.f64 (*.f64 y z) (-.f64 (*.f64 y z) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 y z) 3)) (+.f64 (pow.f64 (*.f64 y z) 2) (-.f64 (*.f64 x x) (*.f64 x (*.f64 y z)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 y z) 2)) (-.f64 x (*.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 y z) 3))) (neg.f64 (fma.f64 x x (*.f64 (*.f64 y z) (-.f64 (*.f64 y z) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 y z) 2))) (neg.f64 (-.f64 x (*.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 y z) 2) (*.f64 x x)) (-.f64 (*.f64 y z) x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 y z x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 y z x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 y z x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 y z x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 y z x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 y z x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 y z x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 y z x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 y z x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 y z x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y z x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 z y x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (*.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 y z) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 y z)) 2) (cbrt.f64 (*.f64 y z)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 y z)) (sqrt.f64 (*.f64 y z)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 y z)))))) |
| 1× | egg-herbie |
| 2× | fma-def_binary64 |
| 1× | +-commutative_binary64 |
| 1× | *-commutative_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 159 |
| 1 | 9 | 159 |
| 2 | 10 | 159 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 y z) |
(+.f64 (*.f64 y z) x) |
(+.f64 (*.f64 y z) x) |
(+.f64 (*.f64 y z) x) |
x |
(+.f64 (*.f64 y z) x) |
(+.f64 (*.f64 y z) x) |
(+.f64 (*.f64 y z) x) |
x |
(+.f64 (*.f64 y z) x) |
(+.f64 (*.f64 y z) x) |
(+.f64 (*.f64 y z) x) |
x |
(+.f64 (*.f64 y z) x) |
(+.f64 (*.f64 y z) x) |
(+.f64 (*.f64 y z) x) |
(*.f64 y z) |
(+.f64 (*.f64 y z) x) |
(+.f64 (*.f64 y z) x) |
(+.f64 (*.f64 y z) x) |
(*.f64 y z) |
(+.f64 (*.f64 y z) x) |
(+.f64 (*.f64 y z) x) |
(+.f64 (*.f64 y z) x) |
x |
(+.f64 (*.f64 y z) x) |
(+.f64 (*.f64 y z) x) |
(+.f64 (*.f64 y z) x) |
(*.f64 y z) |
(+.f64 (*.f64 y z) x) |
(+.f64 (*.f64 y z) x) |
(+.f64 (*.f64 y z) x) |
(*.f64 y z) |
(+.f64 (*.f64 y z) x) |
(+.f64 (*.f64 y z) x) |
(+.f64 (*.f64 y z) x) |
| Outputs |
|---|
(*.f64 y z) |
(+.f64 (*.f64 y z) x) |
(fma.f64 y z x) |
(+.f64 (*.f64 y z) x) |
(fma.f64 y z x) |
(+.f64 (*.f64 y z) x) |
(fma.f64 y z x) |
x |
(+.f64 (*.f64 y z) x) |
(fma.f64 y z x) |
(+.f64 (*.f64 y z) x) |
(fma.f64 y z x) |
(+.f64 (*.f64 y z) x) |
(fma.f64 y z x) |
x |
(+.f64 (*.f64 y z) x) |
(fma.f64 y z x) |
(+.f64 (*.f64 y z) x) |
(fma.f64 y z x) |
(+.f64 (*.f64 y z) x) |
(fma.f64 y z x) |
x |
(+.f64 (*.f64 y z) x) |
(fma.f64 y z x) |
(+.f64 (*.f64 y z) x) |
(fma.f64 y z x) |
(+.f64 (*.f64 y z) x) |
(fma.f64 y z x) |
(*.f64 y z) |
(+.f64 (*.f64 y z) x) |
(fma.f64 y z x) |
(+.f64 (*.f64 y z) x) |
(fma.f64 y z x) |
(+.f64 (*.f64 y z) x) |
(fma.f64 y z x) |
(*.f64 y z) |
(+.f64 (*.f64 y z) x) |
(fma.f64 y z x) |
(+.f64 (*.f64 y z) x) |
(fma.f64 y z x) |
(+.f64 (*.f64 y z) x) |
(fma.f64 y z x) |
x |
(+.f64 (*.f64 y z) x) |
(fma.f64 y z x) |
(+.f64 (*.f64 y z) x) |
(fma.f64 y z x) |
(+.f64 (*.f64 y z) x) |
(fma.f64 y z x) |
(*.f64 y z) |
(+.f64 (*.f64 y z) x) |
(fma.f64 y z x) |
(+.f64 (*.f64 y z) x) |
(fma.f64 y z x) |
(+.f64 (*.f64 y z) x) |
(fma.f64 y z x) |
(*.f64 y z) |
(+.f64 (*.f64 y z) x) |
(fma.f64 y z x) |
(+.f64 (*.f64 y z) x) |
(fma.f64 y z x) |
(+.f64 (*.f64 y z) x) |
(fma.f64 y z x) |
Compiled 795 to 321 computations (59.6% saved)
7 alts after pruning (3 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 82 | 3 | 85 |
| Fresh | 1 | 0 | 1 |
| Picked | 0 | 1 | 1 |
| Done | 1 | 3 | 4 |
| Total | 84 | 7 | 91 |
| Status | Error | Program |
|---|---|---|
| ✓ | 12.7b | (+.f64 x (*.f64 y z)) |
| 35.1b | x | |
| ▶ | 12.7b | (fma.f64 z y x) |
| ✓ | 40.4b | (*.f64 y z) |
| ✓ | 22.6b | (*.f64 x (-.f64 1 y)) |
| ✓ | 27.8b | (*.f64 y (-.f64 z x)) |
| ▶ | 49.6b | (*.f64 y (neg.f64 x)) |
Compiled 48 to 32 computations (33.3% saved)
Compiled 11 to 5 computations (54.5% saved)
Compiled 10 to 4 computations (60% saved)
Compiled 3 to 3 computations (0% saved)
7 alts after pruning (1 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 0 | 0 | 0 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 5 | 5 |
| Total | 0 | 7 | 7 |
| Status | Error | Program |
|---|---|---|
| ✓ | 12.7b | (+.f64 x (*.f64 y z)) |
| 35.1b | x | |
| ✓ | 12.7b | (fma.f64 z y x) |
| ✓ | 40.4b | (*.f64 y z) |
| ✓ | 22.6b | (*.f64 x (-.f64 1 y)) |
| ✓ | 27.8b | (*.f64 y (-.f64 z x)) |
| ✓ | 49.6b | (*.f64 y (neg.f64 x)) |
Compiled 48 to 32 computations (33.3% saved)
Compiled 3 to 3 computations (0% saved)
7 alts after pruning (1 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 0 | 0 | 0 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 6 | 6 |
| Total | 0 | 7 | 7 |
| Status | Error | Program |
|---|---|---|
| ✓ | 12.7b | (+.f64 x (*.f64 y z)) |
| 35.1b | x | |
| ✓ | 12.7b | (fma.f64 z y x) |
| ✓ | 40.4b | (*.f64 y z) |
| ✓ | 22.6b | (*.f64 x (-.f64 1 y)) |
| ✓ | 27.8b | (*.f64 y (-.f64 z x)) |
| ✓ | 49.6b | (*.f64 y (neg.f64 x)) |
Compiled 48 to 32 computations (33.3% saved)
| Inputs |
|---|
x |
x |
(*.f64 y z) |
(*.f64 y (neg.f64 x)) |
(+.f64 x (*.f64 y z)) |
(*.f64 x (-.f64 1 y)) |
(*.f64 y (-.f64 z x)) |
(+.f64 x (*.f64 y (-.f64 z x))) |
(fma.f64 z y x) |
(fma.f64 y (-.f64 z x) x) |
| Outputs |
|---|
(fma.f64 y (-.f64 z x) x) |
4 calls:
| 7.0ms | z |
| 6.0ms | (+.f64 x (*.f64 y (-.f64 z x))) |
| 6.0ms | y |
| 6.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 0.0b | 1 | x |
| 0.0b | 1 | y |
| 0.0b | 1 | z |
| 0.0b | 1 | (+.f64 x (*.f64 y (-.f64 z x))) |
Compiled 66 to 30 computations (54.5% saved)
| Inputs |
|---|
x |
x |
(*.f64 y z) |
(*.f64 y (neg.f64 x)) |
(+.f64 x (*.f64 y z)) |
(*.f64 x (-.f64 1 y)) |
(*.f64 y (-.f64 z x)) |
(+.f64 x (*.f64 y (-.f64 z x))) |
(fma.f64 z y x) |
| Outputs |
|---|
(+.f64 x (*.f64 y (-.f64 z x))) |
4 calls:
| 9.0ms | x |
| 7.0ms | (+.f64 x (*.f64 y (-.f64 z x))) |
| 6.0ms | z |
| 6.0ms | y |
| Error | Segments | Branch |
|---|---|---|
| 0.0b | 1 | x |
| 0.0b | 1 | y |
| 0.0b | 1 | z |
| 0.0b | 1 | (+.f64 x (*.f64 y (-.f64 z x))) |
Compiled 60 to 29 computations (51.7% saved)
| Inputs |
|---|
x |
x |
(*.f64 y z) |
(*.f64 y (neg.f64 x)) |
(+.f64 x (*.f64 y z)) |
(*.f64 x (-.f64 1 y)) |
(*.f64 y (-.f64 z x)) |
| Outputs |
|---|
(*.f64 y (-.f64 z x)) |
(+.f64 x (*.f64 y z)) |
(*.f64 y (-.f64 z x)) |
3 calls:
| 19.0ms | z |
| 14.0ms | y |
| 14.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 7.2b | 3 | x |
| 0.4b | 3 | y |
| 5.3b | 3 | z |
Compiled 39 to 21 computations (46.2% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 16.0ms | 0.05060558891981524 | 473.10111718190024 |
| 17.0ms | -27470424656.305458 | -3884062.7884762343 |
Compiled 16 to 11 computations (31.3% saved)
| Inputs |
|---|
x |
x |
(*.f64 y z) |
(*.f64 y (neg.f64 x)) |
(+.f64 x (*.f64 y z)) |
(*.f64 x (-.f64 1 y)) |
| Outputs |
|---|
(+.f64 x (*.f64 y z)) |
(*.f64 x (-.f64 1 y)) |
(+.f64 x (*.f64 y z)) |
3 calls:
| 17.0ms | y |
| 17.0ms | z |
| 14.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 7.2b | 3 | x |
| 8.9b | 4 | y |
| 5.3b | 3 | z |
Compiled 34 to 19 computations (44.1% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 16.0ms | 3.6007524060720553e-67 | 1.8652334087160963e-64 |
| 17.0ms | -1.1912780477687877e-98 | -1.9192199821244178e-106 |
Compiled 16 to 11 computations (31.3% saved)
| Inputs |
|---|
x |
x |
(*.f64 y z) |
(*.f64 y (neg.f64 x)) |
(+.f64 x (*.f64 y z)) |
| Outputs |
|---|
(*.f64 y (neg.f64 x)) |
(+.f64 x (*.f64 y z)) |
(*.f64 y (neg.f64 x)) |
(*.f64 y z) |
3 calls:
| 16.0ms | y |
| 13.0ms | z |
| 5.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 12.7b | 1 | x |
| 8.9b | 4 | y |
| 11.6b | 3 | z |
Compiled 29 to 16 computations (44.8% saved)
| 3× | binary-search |
| Time | Left | Right |
|---|---|---|
| 23.0ms | 2.6630194877379335e+155 | 8.463428436544273e+173 |
| 55.0ms | 8.16476490419848e+53 | 4.8925112766612565e+55 |
| 38.0ms | -1.7524092322710673e+76 | -5.672268459023207e+72 |
Compiled 421 to 301 computations (28.5% saved)
| Inputs |
|---|
x |
x |
(*.f64 y z) |
(*.f64 y (neg.f64 x)) |
| Outputs |
|---|
(*.f64 y (neg.f64 x)) |
(*.f64 y z) |
x |
(*.f64 y z) |
x |
(*.f64 y z) |
(*.f64 y (neg.f64 x)) |
(*.f64 y z) |
3 calls:
| 148.0ms | y |
| 25.0ms | z |
| 14.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 24.7b | 3 | x |
| 18.1b | 8 | y |
| 24.5b | 7 | z |
Compiled 24 to 15 computations (37.5% saved)
| 7× | binary-search |
| Time | Left | Right |
|---|---|---|
| 24.0ms | 2.6630194877379335e+155 | 8.463428436544273e+173 |
| 52.0ms | 8.16476490419848e+53 | 4.8925112766612565e+55 |
| 17.0ms | 2.116969914806696e-16 | 8.251536096667123e-16 |
| 130.0ms | 7.911858793683972e-110 | 1.665203415962808e-101 |
| 16.0ms | 5.855397166105847e-120 | 2.1067537966522345e-116 |
| 16.0ms | -7.162858245731441e-51 | -5.83888256270728e-54 |
| 50.0ms | -1.7524092322710673e+76 | -5.672268459023207e+72 |
Compiled 391 to 286 computations (26.9% saved)
| Inputs |
|---|
x |
x |
(*.f64 y z) |
| Outputs |
|---|
(*.f64 y z) |
x |
(*.f64 y z) |
x |
(*.f64 y z) |
3 calls:
| 151.0ms | z |
| 17.0ms | y |
| 13.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 24.7b | 3 | x |
| 21.9b | 5 | y |
| 25.6b | 5 | z |
Compiled 20 to 13 computations (35% saved)
| 4× | binary-search |
| Time | Left | Right |
|---|---|---|
| 17.0ms | 2.116969914806696e-16 | 8.251536096667123e-16 |
| 16.0ms | 7.911858793683972e-110 | 1.665203415962808e-101 |
| 15.0ms | 5.855397166105847e-120 | 2.1067537966522345e-116 |
| 17.0ms | -7.162858245731441e-51 | -5.83888256270728e-54 |
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:
| 3.0ms | z |
| 3.0ms | y |
| 3.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 35.1b | 1 | x |
| 35.1b | 1 | y |
| 35.1b | 1 | z |
Compiled 17 to 12 computations (29.4% saved)
| 1× | egg-herbie |
| 8× | *-commutative_binary64 |
| 7× | +-commutative_binary64 |
| 5× | sub-neg_binary64 |
| 3× | neg-sub0_binary64 |
| 3× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 55 | 236 |
| 1 | 71 | 236 |
| 2 | 82 | 236 |
| 3 | 88 | 236 |
| 4 | 90 | 236 |
| 1× | fuel |
| 1× | saturated |
| Inputs |
|---|
(fma.f64 y (-.f64 z x) x) |
(+.f64 x (*.f64 y (-.f64 z x))) |
(if (<=.f64 y -3600603500551269/131072) (*.f64 y (-.f64 z x)) (if (<=.f64 y 7293033964868621/144115188075855872) (+.f64 x (*.f64 y z)) (*.f64 y (-.f64 z x)))) |
(if (<=.f64 z -3667089454673007/307828173409331868845930000782371982852185463050511302093346042220669701339821957901673955116288403443801781174272) (+.f64 x (*.f64 y z)) (if (<=.f64 z 2732449096829347/7588550360256754183279148073529370729071901715047420004889892225542594864082845696) (*.f64 x (-.f64 1 y)) (+.f64 x (*.f64 y z)))) |
(if (<=.f64 y -16999999999999998550309024467806597256904393115745628768189614913417054781440) (*.f64 y (neg.f64 x)) (if (<=.f64 y 47999999999999998313476068685604289016663575486242226176) (+.f64 x (*.f64 y z)) (if (<=.f64 y 819999999999999951101913320606392786775461126758798603998375710888087094627652445654329878697865373447295905442180351830574971825246194730283201333585792305025988004788830208) (*.f64 y (neg.f64 x)) (*.f64 y z)))) |
(if (<=.f64 y -16999999999999998550309024467806597256904393115745628768189614913417054781440) (*.f64 y (neg.f64 x)) (if (<=.f64 y -6034696134039995/842498333348457493583344221469363458551160763204392890034487820288) (*.f64 y z) (if (<=.f64 y 8511858812912971/1453677448591213781098647615776009068707282721374636120562980398361278576226795846652382101427527131121525043212532355867069203257229312) x (if (<=.f64 y 6694632294131719/84615164005151820665845159428194693098035799419427996068435045795123941278247852265624218936283556460491675139202989862944768) (*.f64 y z) (if (<=.f64 y 4293725093071699/20282409603651670423947251286016) x (if (<=.f64 y 47999999999999998313476068685604289016663575486242226176) (*.f64 y z) (if (<=.f64 y 819999999999999951101913320606392786775461126758798603998375710888087094627652445654329878697865373447295905442180351830574971825246194730283201333585792305025988004788830208) (*.f64 y (neg.f64 x)) (*.f64 y z)))))))) |
(if (<=.f64 y -6034696134039995/842498333348457493583344221469363458551160763204392890034487820288) (*.f64 y z) (if (<=.f64 y 8511858812912971/1453677448591213781098647615776009068707282721374636120562980398361278576226795846652382101427527131121525043212532355867069203257229312) x (if (<=.f64 y 6694632294131719/84615164005151820665845159428194693098035799419427996068435045795123941278247852265624218936283556460491675139202989862944768) (*.f64 y z) (if (<=.f64 y 4293725093071699/20282409603651670423947251286016) x (*.f64 y z))))) |
x |
| Outputs |
|---|
(fma.f64 y (-.f64 z x) x) |
(+.f64 x (*.f64 y (-.f64 z x))) |
(if (<=.f64 y -3600603500551269/131072) (*.f64 y (-.f64 z x)) (if (<=.f64 y 7293033964868621/144115188075855872) (+.f64 x (*.f64 y z)) (*.f64 y (-.f64 z x)))) |
(if (<=.f64 z -3667089454673007/307828173409331868845930000782371982852185463050511302093346042220669701339821957901673955116288403443801781174272) (+.f64 x (*.f64 y z)) (if (<=.f64 z 2732449096829347/7588550360256754183279148073529370729071901715047420004889892225542594864082845696) (*.f64 x (-.f64 1 y)) (+.f64 x (*.f64 y z)))) |
(if (<=.f64 y -16999999999999998550309024467806597256904393115745628768189614913417054781440) (*.f64 y (neg.f64 x)) (if (<=.f64 y 47999999999999998313476068685604289016663575486242226176) (+.f64 x (*.f64 y z)) (if (<=.f64 y 819999999999999951101913320606392786775461126758798603998375710888087094627652445654329878697865373447295905442180351830574971825246194730283201333585792305025988004788830208) (*.f64 y (neg.f64 x)) (*.f64 y z)))) |
(if (<=.f64 y -16999999999999998550309024467806597256904393115745628768189614913417054781440) (*.f64 y (neg.f64 x)) (if (<=.f64 y -6034696134039995/842498333348457493583344221469363458551160763204392890034487820288) (*.f64 y z) (if (<=.f64 y 8511858812912971/1453677448591213781098647615776009068707282721374636120562980398361278576226795846652382101427527131121525043212532355867069203257229312) x (if (<=.f64 y 6694632294131719/84615164005151820665845159428194693098035799419427996068435045795123941278247852265624218936283556460491675139202989862944768) (*.f64 y z) (if (<=.f64 y 4293725093071699/20282409603651670423947251286016) x (if (<=.f64 y 47999999999999998313476068685604289016663575486242226176) (*.f64 y z) (if (<=.f64 y 819999999999999951101913320606392786775461126758798603998375710888087094627652445654329878697865373447295905442180351830574971825246194730283201333585792305025988004788830208) (*.f64 y (neg.f64 x)) (*.f64 y z)))))))) |
(if (<=.f64 y -6034696134039995/842498333348457493583344221469363458551160763204392890034487820288) (*.f64 y z) (if (<=.f64 y 8511858812912971/1453677448591213781098647615776009068707282721374636120562980398361278576226795846652382101427527131121525043212532355867069203257229312) x (if (<=.f64 y 6694632294131719/84615164005151820665845159428194693098035799419427996068435045795123941278247852265624218936283556460491675139202989862944768) (*.f64 y z) (if (<=.f64 y 4293725093071699/20282409603651670423947251286016) x (*.f64 y z))))) |
x |
Compiled 189 to 100 computations (47.1% saved)
| 1× | egg-herbie |
| 274× | fma-def_binary64 |
| 247× | fma-neg_binary64 |
| 71× | cancel-sign-sub-inv_binary64 |
| 54× | distribute-rgt-in_binary64 |
| 40× | 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 | 281 | 8 |
| 7 | 480 | 8 |
| 8 | 871 | 8 |
| 9 | 1107 | 8 |
| 10 | 1207 | 8 |
| 11 | 1214 | 8 |
| 1× | saturated |
Compiled 29 to 17 computations (41.4% saved)
Compiled 168 to 68 computations (59.5% saved)
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