Time bar (total: 3.3s)
| 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% | 74.9% | 25.1% | 4 |
| 12.5% | 62.4% | 25.1% | 5 |
| 18.7% | 43.7% | 37.6% | 6 |
| 28.1% | 34.3% | 37.6% | 7 |
| 32.8% | 23.4% | 43.8% | 8 |
| 36.7% | 18.3% | 45% | 9 |
| 39.4% | 12.3% | 48.3% | 10 |
| 41.6% | 9.5% | 49% | 11 |
| 43% | 6.3% | 50.7% | 12 |
| 44.1% | 4.8% | 51% | 13 |
| 44.9% | 3.2% | 51.9% | 14 |
Compiled 11 to 8 computations (27.3% saved)
| 919.0ms | 8253× | body | 128 | valid |
| 19.0ms | 213× | body | 128 | invalid |
| 0.0ms | 1× | body | 1024 | valid |
| 0.0ms | 1× | body | 512 | valid |
| 0.0ms | 1× | body | 256 | valid |
| 2× | egg-herbie |
| 262× | fma-neg_binary64 |
| 254× | fma-def_binary64 |
| 74× | cancel-sign-sub-inv_binary64 |
| 60× | sub-neg_binary64 |
| 40× | distribute-rgt-neg-in_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 24 |
| 1 | 26 | 20 |
| 2 | 65 | 20 |
| 3 | 130 | 20 |
| 4 | 285 | 20 |
| 5 | 593 | 20 |
| 6 | 977 | 20 |
| 7 | 1145 | 20 |
| 8 | 1205 | 20 |
| 9 | 1217 | 20 |
| 0 | 2 | 2 |
| 1× | saturated |
| 1× | saturated |
| Inputs |
|---|
0 |
1 |
| Outputs |
|---|
0 |
1 |
| Inputs |
|---|
(+.f64 (-.f64 1 x) (*.f64 y (sqrt.f64 x))) |
(+.f64 (-.f64 1 y) (*.f64 x (sqrt.f64 y))) |
| Outputs |
|---|
(+.f64 (-.f64 1 x) (*.f64 y (sqrt.f64 x))) |
(fma.f64 y (sqrt.f64 x) (-.f64 1 x)) |
(-.f64 (fma.f64 y (sqrt.f64 x) 1) x) |
(+.f64 (-.f64 1 y) (*.f64 x (sqrt.f64 y))) |
(fma.f64 x (sqrt.f64 y) (-.f64 1 y)) |
(-.f64 (fma.f64 x (sqrt.f64 y) 1) y) |
Compiled 10 to 7 computations (30% saved)
| 1× | egg-herbie |
| 151× | fma-def_binary64 |
| 131× | fma-neg_binary64 |
| 46× | cancel-sign-sub-inv_binary64 |
| 36× | sub-neg_binary64 |
| 30× | unsub-neg_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 12 |
| 1 | 16 | 10 |
| 2 | 37 | 10 |
| 3 | 72 | 10 |
| 4 | 150 | 10 |
| 5 | 312 | 10 |
| 6 | 502 | 10 |
| 7 | 626 | 10 |
| 8 | 708 | 10 |
| 9 | 722 | 10 |
| 1× | saturated |
| Inputs |
|---|
(+.f64 (-.f64 1 x) (*.f64 y (sqrt.f64 x))) |
| Outputs |
|---|
(+.f64 (-.f64 1 x) (*.f64 y (sqrt.f64 x))) |
(fma.f64 y (sqrt.f64 x) (-.f64 1 x)) |
(-.f64 (fma.f64 y (sqrt.f64 x) 1) x) |
Compiled 17 to 10 computations (41.2% saved)
1 alts after pruning (1 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 | 1 | 2 |
| Fresh | 1 | 0 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 0 | 0 |
| Total | 2 | 1 | 3 |
| Status | Error | Program |
|---|---|---|
| ▶ | 0.1b | (-.f64 (fma.f64 y (sqrt.f64 x) 1) x) |
Compiled 18 to 12 computations (33.3% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (-.f64 (fma.f64 y (sqrt.f64 x) 1) x) |
| ✓ | 0.2b | (fma.f64 y (sqrt.f64 x) 1) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | (fma.f64 y (sqrt.f64 x) 1) |
| 1.0ms | x | @ | 0 | (fma.f64 y (sqrt.f64 x) 1) |
| 1.0ms | y | @ | -inf | (fma.f64 y (sqrt.f64 x) 1) |
| 1.0ms | y | @ | 0 | (fma.f64 y (sqrt.f64 x) 1) |
| 1.0ms | x | @ | -inf | (fma.f64 y (sqrt.f64 x) 1) |
| 1× | batch-egg-rewrite |
| 743× | pow1_binary64 |
| 690× | log1p-expm1-u_binary64 |
| 690× | expm1-log1p-u_binary64 |
| 74× | add-sqr-sqrt_binary64 |
| 71× | *-un-lft-identity_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 17 |
| 1 | 144 | 17 |
| 2 | 1843 | 17 |
| 1× | node limit |
| Inputs |
|---|
(fma.f64 y (sqrt.f64 x) 1) |
(-.f64 (fma.f64 y (sqrt.f64 x) 1) x) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 y (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y (sqrt.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 y (sqrt.f64 x)) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 y (sqrt.f64 x) 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 y (sqrt.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 y (sqrt.f64 x) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) 1)) (pow.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) 1)) 2) (cbrt.f64 (fma.f64 y (sqrt.f64 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 y (sqrt.f64 x) 1)) (sqrt.f64 (fma.f64 y (sqrt.f64 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) 3) 1) (+.f64 (*.f64 (*.f64 y (sqrt.f64 x)) (*.f64 y (sqrt.f64 x))) (-.f64 1 (*.f64 (*.f64 y (sqrt.f64 x)) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 y (sqrt.f64 x)) (*.f64 y (sqrt.f64 x))) 1) (-.f64 (*.f64 y (sqrt.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 y (sqrt.f64 x) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) 1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 y (sqrt.f64 x) 1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 y (sqrt.f64 x) 1) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 y (sqrt.f64 x) 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 y (sqrt.f64 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 y (sqrt.f64 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 y (sqrt.f64 x) 1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 y (sqrt.f64 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 y (sqrt.f64 x) 1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 y (sqrt.f64 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 y (sqrt.f64 x) 1))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 y (sqrt.f64 x) 1) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 y (sqrt.f64 x) 1) (*.f64 (neg.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (fma.f64 y (sqrt.f64 x) 1) x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (fma.f64 y (sqrt.f64 x) 1) x) (fma.f64 (neg.f64 x) 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (fma.f64 y (sqrt.f64 x) 1) x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y (sqrt.f64 x)) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y (sqrt.f64 x)) (+.f64 1 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 x) (fma.f64 y (sqrt.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (fma.f64 y (sqrt.f64 x) 1) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (fma.f64 y (sqrt.f64 x) 1) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (fma.f64 y (sqrt.f64 x) 1) x)) (pow.f64 (cbrt.f64 (-.f64 (fma.f64 y (sqrt.f64 x) 1) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (fma.f64 y (sqrt.f64 x) 1) x)) 2) (cbrt.f64 (-.f64 (fma.f64 y (sqrt.f64 x) 1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (fma.f64 y (sqrt.f64 x) 1) x)) (sqrt.f64 (-.f64 (fma.f64 y (sqrt.f64 x) 1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (fma.f64 y (sqrt.f64 x) 1) 3) (pow.f64 x 3)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 y (sqrt.f64 x) 1) 2) (*.f64 x (+.f64 x (fma.f64 y (sqrt.f64 x) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (fma.f64 y (sqrt.f64 x) 1) 2) (*.f64 x x)) (/.f64 1 (+.f64 x (fma.f64 y (sqrt.f64 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (fma.f64 y (sqrt.f64 x) 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (fma.f64 y (sqrt.f64 x) 1)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (fma.f64 y (sqrt.f64 x) 1) 2) (*.f64 x (+.f64 x (fma.f64 y (sqrt.f64 x) 1)))) (-.f64 (pow.f64 (fma.f64 y (sqrt.f64 x) 1) 3) (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 x (fma.f64 y (sqrt.f64 x) 1)) (-.f64 (pow.f64 (fma.f64 y (sqrt.f64 x) 1) 2) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (fma.f64 y (sqrt.f64 x) 1) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (fma.f64 y (sqrt.f64 x) 1) 2) (*.f64 x (+.f64 x (fma.f64 y (sqrt.f64 x) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (fma.f64 y (sqrt.f64 x) 1) 2) (*.f64 x x)) (+.f64 x (fma.f64 y (sqrt.f64 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 y (sqrt.f64 x) 1) 3) (pow.f64 x 3))) (neg.f64 (+.f64 (pow.f64 (fma.f64 y (sqrt.f64 x) 1) 2) (*.f64 x (+.f64 x (fma.f64 y (sqrt.f64 x) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 y (sqrt.f64 x) 1) 2) (*.f64 x x))) (neg.f64 (+.f64 x (fma.f64 y (sqrt.f64 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 y (sqrt.f64 x) 1) 3) (pow.f64 (neg.f64 x) 3)) (+.f64 (pow.f64 (fma.f64 y (sqrt.f64 x) 1) 2) (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 (fma.f64 y (sqrt.f64 x) 1) (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (fma.f64 y (sqrt.f64 x) 1) 2) (*.f64 (neg.f64 x) (neg.f64 x))) (-.f64 (fma.f64 y (sqrt.f64 x) 1) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (fma.f64 y (sqrt.f64 x) 1) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (fma.f64 y (sqrt.f64 x) 1) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 (fma.f64 y (sqrt.f64 x) 1) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 (fma.f64 y (sqrt.f64 x) 1) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (fma.f64 y (sqrt.f64 x) 1) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 (fma.f64 y (sqrt.f64 x) 1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (-.f64 (fma.f64 y (sqrt.f64 x) 1) x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (fma.f64 y (sqrt.f64 x) 1) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 y (sqrt.f64 x) 1) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) 1)) 2) (cbrt.f64 (fma.f64 y (sqrt.f64 x) 1)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 y (sqrt.f64 x) 1)) (sqrt.f64 (fma.f64 y (sqrt.f64 x) 1)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (fma.f64 y (sqrt.f64 x) 1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (-.f64 (fma.f64 y (sqrt.f64 x) 1) x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 (fma.f64 y (sqrt.f64 x) 1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (fma.f64 y (sqrt.f64 x) 1) x))))))) |
| 1× | egg-herbie |
| 190× | fma-def_binary64 |
| 155× | fma-neg_binary64 |
| 55× | cancel-sign-sub-inv_binary64 |
| 34× | distribute-rgt-in_binary64 |
| 33× | associate--r+_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 190 |
| 1 | 21 | 190 |
| 2 | 32 | 190 |
| 3 | 54 | 190 |
| 4 | 88 | 190 |
| 5 | 147 | 190 |
| 6 | 283 | 190 |
| 7 | 438 | 190 |
| 8 | 600 | 190 |
| 9 | 738 | 190 |
| 10 | 830 | 190 |
| 11 | 836 | 190 |
| 1× | saturated |
| Inputs |
|---|
1 |
(+.f64 (*.f64 y (sqrt.f64 x)) 1) |
(+.f64 (*.f64 y (sqrt.f64 x)) 1) |
(+.f64 (*.f64 y (sqrt.f64 x)) 1) |
(*.f64 y (sqrt.f64 x)) |
(+.f64 (*.f64 y (sqrt.f64 x)) 1) |
(+.f64 (*.f64 y (sqrt.f64 x)) 1) |
(+.f64 (*.f64 y (sqrt.f64 x)) 1) |
(*.f64 y (sqrt.f64 x)) |
(+.f64 (*.f64 y (sqrt.f64 x)) 1) |
(+.f64 (*.f64 y (sqrt.f64 x)) 1) |
(+.f64 (*.f64 y (sqrt.f64 x)) 1) |
1 |
(-.f64 1 x) |
(-.f64 (+.f64 (*.f64 y (sqrt.f64 x)) 1) x) |
(-.f64 (+.f64 (*.f64 y (sqrt.f64 x)) 1) x) |
(-.f64 (+.f64 (*.f64 y (sqrt.f64 x)) 1) x) |
(*.f64 y (sqrt.f64 x)) |
(-.f64 (+.f64 (*.f64 y (sqrt.f64 x)) 1) x) |
(-.f64 (+.f64 (*.f64 y (sqrt.f64 x)) 1) x) |
(-.f64 (+.f64 (*.f64 y (sqrt.f64 x)) 1) x) |
(*.f64 y (sqrt.f64 x)) |
(-.f64 (+.f64 (*.f64 y (sqrt.f64 x)) 1) x) |
(-.f64 (+.f64 (*.f64 y (sqrt.f64 x)) 1) x) |
(-.f64 (+.f64 (*.f64 y (sqrt.f64 x)) 1) x) |
1 |
(*.f64 -1 x) |
(*.f64 -1 x) |
| Outputs |
|---|
1 |
(+.f64 (*.f64 y (sqrt.f64 x)) 1) |
(fma.f64 y (sqrt.f64 x) 1) |
(+.f64 (*.f64 y (sqrt.f64 x)) 1) |
(fma.f64 y (sqrt.f64 x) 1) |
(+.f64 (*.f64 y (sqrt.f64 x)) 1) |
(fma.f64 y (sqrt.f64 x) 1) |
(*.f64 y (sqrt.f64 x)) |
(+.f64 (*.f64 y (sqrt.f64 x)) 1) |
(fma.f64 y (sqrt.f64 x) 1) |
(+.f64 (*.f64 y (sqrt.f64 x)) 1) |
(fma.f64 y (sqrt.f64 x) 1) |
(+.f64 (*.f64 y (sqrt.f64 x)) 1) |
(fma.f64 y (sqrt.f64 x) 1) |
(*.f64 y (sqrt.f64 x)) |
(+.f64 (*.f64 y (sqrt.f64 x)) 1) |
(fma.f64 y (sqrt.f64 x) 1) |
(+.f64 (*.f64 y (sqrt.f64 x)) 1) |
(fma.f64 y (sqrt.f64 x) 1) |
(+.f64 (*.f64 y (sqrt.f64 x)) 1) |
(fma.f64 y (sqrt.f64 x) 1) |
1 |
(-.f64 1 x) |
(-.f64 (+.f64 (*.f64 y (sqrt.f64 x)) 1) x) |
(-.f64 (fma.f64 y (sqrt.f64 x) 1) x) |
(fma.f64 y (sqrt.f64 x) (-.f64 1 x)) |
(-.f64 (+.f64 (*.f64 y (sqrt.f64 x)) 1) x) |
(-.f64 (fma.f64 y (sqrt.f64 x) 1) x) |
(fma.f64 y (sqrt.f64 x) (-.f64 1 x)) |
(-.f64 (+.f64 (*.f64 y (sqrt.f64 x)) 1) x) |
(-.f64 (fma.f64 y (sqrt.f64 x) 1) x) |
(fma.f64 y (sqrt.f64 x) (-.f64 1 x)) |
(*.f64 y (sqrt.f64 x)) |
(-.f64 (+.f64 (*.f64 y (sqrt.f64 x)) 1) x) |
(-.f64 (fma.f64 y (sqrt.f64 x) 1) x) |
(fma.f64 y (sqrt.f64 x) (-.f64 1 x)) |
(-.f64 (+.f64 (*.f64 y (sqrt.f64 x)) 1) x) |
(-.f64 (fma.f64 y (sqrt.f64 x) 1) x) |
(fma.f64 y (sqrt.f64 x) (-.f64 1 x)) |
(-.f64 (+.f64 (*.f64 y (sqrt.f64 x)) 1) x) |
(-.f64 (fma.f64 y (sqrt.f64 x) 1) x) |
(fma.f64 y (sqrt.f64 x) (-.f64 1 x)) |
(*.f64 y (sqrt.f64 x)) |
(-.f64 (+.f64 (*.f64 y (sqrt.f64 x)) 1) x) |
(-.f64 (fma.f64 y (sqrt.f64 x) 1) x) |
(fma.f64 y (sqrt.f64 x) (-.f64 1 x)) |
(-.f64 (+.f64 (*.f64 y (sqrt.f64 x)) 1) x) |
(-.f64 (fma.f64 y (sqrt.f64 x) 1) x) |
(fma.f64 y (sqrt.f64 x) (-.f64 1 x)) |
(-.f64 (+.f64 (*.f64 y (sqrt.f64 x)) 1) x) |
(-.f64 (fma.f64 y (sqrt.f64 x) 1) x) |
(fma.f64 y (sqrt.f64 x) (-.f64 1 x)) |
1 |
(*.f64 -1 x) |
(neg.f64 x) |
(*.f64 -1 x) |
(neg.f64 x) |
Compiled 912 to 487 computations (46.6% saved)
6 alts after pruning (5 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 65 | 5 | 70 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 65 | 6 | 71 |
| Status | Error | Program |
|---|---|---|
| 19.0b | (-.f64 (cbrt.f64 (pow.f64 (fma.f64 y (sqrt.f64 x) 1) 3)) x) | |
| ▶ | 0.4b | (-.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) 1)) 2) (cbrt.f64 (fma.f64 y (sqrt.f64 x) 1))) x) |
| 11.9b | (-.f64 (pow.f64 (sqrt.f64 (fma.f64 y (sqrt.f64 x) 1)) 2) x) | |
| 0.4b | (-.f64 (pow.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) 1)) 3) x) | |
| ✓ | 0.1b | (-.f64 (fma.f64 y (sqrt.f64 x) 1) x) |
| 19.1b | (-.f64 (/.f64 (+.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) 3) 1) (+.f64 (*.f64 (*.f64 y (sqrt.f64 x)) (*.f64 y (sqrt.f64 x))) (-.f64 1 (*.f64 (*.f64 y (sqrt.f64 x)) 1)))) x) |
Compiled 181 to 118 computations (34.8% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.1b | (*.f64 (pow.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) 1)) 2) (cbrt.f64 (fma.f64 y (sqrt.f64 x) 1))) |
| 0.2b | (fma.f64 y (sqrt.f64 x) 1) | |
| ✓ | 0.2b | (pow.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) 1)) 2) |
| ✓ | 0.2b | (cbrt.f64 (fma.f64 y (sqrt.f64 x) 1)) |
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | x | @ | inf | (pow.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) 1)) 2) |
| 3.0ms | x | @ | inf | (cbrt.f64 (fma.f64 y (sqrt.f64 x) 1)) |
| 1.0ms | x | @ | -inf | (pow.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) 1)) 2) |
| 1.0ms | x | @ | 0 | (cbrt.f64 (fma.f64 y (sqrt.f64 x) 1)) |
| 1.0ms | y | @ | inf | (pow.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) 1)) 2) |
| 1× | batch-egg-rewrite |
| 680× | pow1_binary64 |
| 633× | add-log-exp_binary64 |
| 632× | log1p-expm1-u_binary64 |
| 632× | expm1-log1p-u_binary64 |
| 82× | add-sqr-sqrt_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 28 |
| 1 | 198 | 28 |
| 2 | 1867 | 28 |
| 1× | node limit |
| Inputs |
|---|
(cbrt.f64 (fma.f64 y (sqrt.f64 x) 1)) |
(pow.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) 1)) 2) |
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) 1)) 2) (cbrt.f64 (fma.f64 y (sqrt.f64 x) 1))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (fma.f64 y (sqrt.f64 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) 1))) 2) (cbrt.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) 1))) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) 1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 y (sqrt.f64 x) 1) 1/6) (pow.f64 (fma.f64 y (sqrt.f64 x) 1) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) 1)) 4))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) 1))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (fma.f64 y (sqrt.f64 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (fma.f64 y (sqrt.f64 x) 1)) 1/3) (pow.f64 (sqrt.f64 (fma.f64 y (sqrt.f64 x) 1)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 y (sqrt.f64 x) 1) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) 1)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) 1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 y (sqrt.f64 x) 1) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) 1)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) 1)) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) 1)) (cbrt.f64 (fma.f64 y (sqrt.f64 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) 1)) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) 1))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) 1)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) 1))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) 1))) (cbrt.f64 (fma.f64 y (sqrt.f64 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) 1)) 4)) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) 1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 y (sqrt.f64 x) 1)) (pow.f64 (fma.f64 y (sqrt.f64 x) 1) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 y (sqrt.f64 x) 1) 1/6) (sqrt.f64 (fma.f64 y (sqrt.f64 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) 1)) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) 1))) 2)) (cbrt.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) 1)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) 1)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) 1)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 y (sqrt.f64 x) 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2 (log.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) 1)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) 1)) 2))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 y (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y (sqrt.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 y (sqrt.f64 x)) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 y (sqrt.f64 x) 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) 3) 1) (+.f64 (*.f64 (*.f64 y (sqrt.f64 x)) (*.f64 y (sqrt.f64 x))) (-.f64 1 (*.f64 (*.f64 y (sqrt.f64 x)) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 y (sqrt.f64 x)) (*.f64 y (sqrt.f64 x))) 1) (-.f64 (*.f64 y (sqrt.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 y (sqrt.f64 x) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) 1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 y (sqrt.f64 x) 1) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 y (sqrt.f64 x) 1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 y (sqrt.f64 x) 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 y (sqrt.f64 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 y (sqrt.f64 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 y (sqrt.f64 x) 1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y (sqrt.f64 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 y (sqrt.f64 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 y (sqrt.f64 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 y (sqrt.f64 x) 1))))))) |
| 1× | egg-herbie |
| 584× | associate-+l+_binary64 |
| 367× | associate-+r+_binary64 |
| 365× | *-commutative_binary64 |
| 345× | fma-def_binary64 |
| 321× | distribute-rgt-out_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 49 | 238 |
| 1 | 145 | 229 |
| 2 | 481 | 207 |
| 3 | 1981 | 207 |
| 4 | 4683 | 207 |
| 1× | node limit |
| Inputs |
|---|
1 |
(+.f64 1 (*.f64 1/3 (*.f64 y (sqrt.f64 x)))) |
(+.f64 1 (+.f64 (*.f64 1/3 (*.f64 y (sqrt.f64 x))) (*.f64 -1/9 (*.f64 (pow.f64 y 2) x)))) |
(+.f64 1 (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 y 3) (+.f64 (*.f64 -2/9 (sqrt.f64 (pow.f64 x 3))) (*.f64 1/27 (sqrt.f64 (pow.f64 x 3)))))) (+.f64 (*.f64 1/3 (*.f64 y (sqrt.f64 x))) (*.f64 -1/9 (*.f64 (pow.f64 y 2) x))))) |
1 |
1 |
(+.f64 1 (*.f64 2/3 (*.f64 y (sqrt.f64 x)))) |
(+.f64 (*.f64 (pow.f64 y 2) (+.f64 (*.f64 -2/9 x) (*.f64 1/9 x))) (+.f64 1 (*.f64 2/3 (*.f64 y (sqrt.f64 x))))) |
(+.f64 (*.f64 (pow.f64 y 2) (+.f64 (*.f64 -2/9 x) (*.f64 1/9 x))) (+.f64 1 (+.f64 (*.f64 2/3 (*.f64 y (sqrt.f64 x))) (*.f64 (+.f64 (*.f64 -2/27 (sqrt.f64 (pow.f64 x 3))) (*.f64 -2/3 (+.f64 (*.f64 -2/9 (sqrt.f64 (pow.f64 x 3))) (*.f64 1/27 (sqrt.f64 (pow.f64 x 3)))))) (pow.f64 y 3))))) |
1 |
1 |
(+.f64 (*.f64 y (sqrt.f64 x)) 1) |
(+.f64 (*.f64 y (sqrt.f64 x)) 1) |
(+.f64 (*.f64 y (sqrt.f64 x)) 1) |
(*.f64 y (sqrt.f64 x)) |
(+.f64 (*.f64 y (sqrt.f64 x)) 1) |
(+.f64 (*.f64 y (sqrt.f64 x)) 1) |
(+.f64 (*.f64 y (sqrt.f64 x)) 1) |
(*.f64 y (sqrt.f64 x)) |
(+.f64 (*.f64 y (sqrt.f64 x)) 1) |
(+.f64 (*.f64 y (sqrt.f64 x)) 1) |
(+.f64 (*.f64 y (sqrt.f64 x)) 1) |
1 |
| Outputs |
|---|
1 |
(+.f64 1 (*.f64 1/3 (*.f64 y (sqrt.f64 x)))) |
(fma.f64 1/3 (*.f64 y (sqrt.f64 x)) 1) |
(fma.f64 y (*.f64 1/3 (sqrt.f64 x)) 1) |
(+.f64 1 (+.f64 (*.f64 1/3 (*.f64 y (sqrt.f64 x))) (*.f64 -1/9 (*.f64 (pow.f64 y 2) x)))) |
(+.f64 1 (fma.f64 1/3 (*.f64 y (sqrt.f64 x)) (*.f64 -1/9 (*.f64 x (*.f64 y y))))) |
(+.f64 (fma.f64 1/3 (*.f64 y (sqrt.f64 x)) 1) (*.f64 y (*.f64 y (*.f64 x -1/9)))) |
(fma.f64 1/3 (*.f64 y (sqrt.f64 x)) (fma.f64 (*.f64 y y) (*.f64 x -1/9) 1)) |
(fma.f64 1/3 (*.f64 y (sqrt.f64 x)) (fma.f64 y (*.f64 x (*.f64 y -1/9)) 1)) |
(+.f64 1 (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 y 3) (+.f64 (*.f64 -2/9 (sqrt.f64 (pow.f64 x 3))) (*.f64 1/27 (sqrt.f64 (pow.f64 x 3)))))) (+.f64 (*.f64 1/3 (*.f64 y (sqrt.f64 x))) (*.f64 -1/9 (*.f64 (pow.f64 y 2) x))))) |
(+.f64 1 (fma.f64 -1/3 (*.f64 (pow.f64 y 3) (*.f64 (sqrt.f64 (pow.f64 x 3)) -5/27)) (fma.f64 1/3 (*.f64 y (sqrt.f64 x)) (*.f64 -1/9 (*.f64 x (*.f64 y y)))))) |
(+.f64 (fma.f64 (*.f64 -1/3 (pow.f64 y 3)) (*.f64 (sqrt.f64 (pow.f64 x 3)) -5/27) (*.f64 1/3 (*.f64 y (sqrt.f64 x)))) (fma.f64 (*.f64 y y) (*.f64 x -1/9) 1)) |
(fma.f64 (pow.f64 y 3) (*.f64 (pow.f64 x 3/2) 5/81) (fma.f64 1/3 (*.f64 y (sqrt.f64 x)) (fma.f64 (*.f64 y y) (*.f64 x -1/9) 1))) |
(fma.f64 (pow.f64 y 3) (*.f64 (pow.f64 x 3/2) 5/81) (fma.f64 1/3 (*.f64 y (sqrt.f64 x)) (fma.f64 y (*.f64 x (*.f64 y -1/9)) 1))) |
1 |
1 |
(+.f64 1 (*.f64 2/3 (*.f64 y (sqrt.f64 x)))) |
(+.f64 1 (*.f64 (*.f64 y (sqrt.f64 x)) 2/3)) |
(fma.f64 (*.f64 y (sqrt.f64 x)) 2/3 1) |
(fma.f64 (sqrt.f64 x) (*.f64 y 2/3) 1) |
(fma.f64 y (*.f64 (sqrt.f64 x) 2/3) 1) |
(+.f64 (*.f64 (pow.f64 y 2) (+.f64 (*.f64 -2/9 x) (*.f64 1/9 x))) (+.f64 1 (*.f64 2/3 (*.f64 y (sqrt.f64 x))))) |
(fma.f64 (*.f64 y y) (*.f64 x -1/9) (+.f64 1 (*.f64 (*.f64 y (sqrt.f64 x)) 2/3))) |
(fma.f64 (*.f64 y y) (*.f64 x -1/9) (fma.f64 (*.f64 y (sqrt.f64 x)) 2/3 1)) |
(fma.f64 y (*.f64 y (*.f64 x -1/9)) (fma.f64 (sqrt.f64 x) (*.f64 y 2/3) 1)) |
(fma.f64 y (*.f64 x (*.f64 y -1/9)) (fma.f64 y (*.f64 (sqrt.f64 x) 2/3) 1)) |
(+.f64 (*.f64 (pow.f64 y 2) (+.f64 (*.f64 -2/9 x) (*.f64 1/9 x))) (+.f64 1 (+.f64 (*.f64 2/3 (*.f64 y (sqrt.f64 x))) (*.f64 (+.f64 (*.f64 -2/27 (sqrt.f64 (pow.f64 x 3))) (*.f64 -2/3 (+.f64 (*.f64 -2/9 (sqrt.f64 (pow.f64 x 3))) (*.f64 1/27 (sqrt.f64 (pow.f64 x 3)))))) (pow.f64 y 3))))) |
(fma.f64 (*.f64 y y) (*.f64 x -1/9) (+.f64 1 (fma.f64 2/3 (*.f64 y (sqrt.f64 x)) (*.f64 (pow.f64 y 3) (fma.f64 -2/27 (sqrt.f64 (pow.f64 x 3)) (*.f64 (*.f64 (sqrt.f64 (pow.f64 x 3)) -5/27) -2/3)))))) |
(+.f64 (fma.f64 (pow.f64 y 3) (fma.f64 (sqrt.f64 (pow.f64 x 3)) -2/27 (*.f64 (sqrt.f64 (pow.f64 x 3)) 10/81)) (*.f64 y (*.f64 (sqrt.f64 x) 2/3))) (fma.f64 (*.f64 y y) (*.f64 x -1/9) 1)) |
(fma.f64 y (*.f64 y (*.f64 x -1/9)) (fma.f64 y (*.f64 (sqrt.f64 x) 2/3) (fma.f64 (pow.f64 y 3) (*.f64 (pow.f64 x 3/2) 4/81) 1))) |
(fma.f64 y (*.f64 x (*.f64 y -1/9)) (fma.f64 y (*.f64 (sqrt.f64 x) 2/3) (fma.f64 (pow.f64 y 3) (*.f64 (pow.f64 x 3/2) 4/81) 1))) |
1 |
1 |
(+.f64 (*.f64 y (sqrt.f64 x)) 1) |
(fma.f64 y (sqrt.f64 x) 1) |
(+.f64 (*.f64 y (sqrt.f64 x)) 1) |
(fma.f64 y (sqrt.f64 x) 1) |
(+.f64 (*.f64 y (sqrt.f64 x)) 1) |
(fma.f64 y (sqrt.f64 x) 1) |
(*.f64 y (sqrt.f64 x)) |
(+.f64 (*.f64 y (sqrt.f64 x)) 1) |
(fma.f64 y (sqrt.f64 x) 1) |
(+.f64 (*.f64 y (sqrt.f64 x)) 1) |
(fma.f64 y (sqrt.f64 x) 1) |
(+.f64 (*.f64 y (sqrt.f64 x)) 1) |
(fma.f64 y (sqrt.f64 x) 1) |
(*.f64 y (sqrt.f64 x)) |
(+.f64 (*.f64 y (sqrt.f64 x)) 1) |
(fma.f64 y (sqrt.f64 x) 1) |
(+.f64 (*.f64 y (sqrt.f64 x)) 1) |
(fma.f64 y (sqrt.f64 x) 1) |
(+.f64 (*.f64 y (sqrt.f64 x)) 1) |
(fma.f64 y (sqrt.f64 x) 1) |
1 |
Compiled 3130 to 1931 computations (38.3% saved)
6 alts after pruning (5 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 145 | 5 | 150 |
| Fresh | 4 | 0 | 4 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 1 | 1 |
| Total | 150 | 6 | 156 |
| Status | Error | Program |
|---|---|---|
| 13.1b | (-.f64 (*.f64 (cbrt.f64 (pow.f64 (fma.f64 y (sqrt.f64 x) 1) 2)) (cbrt.f64 (fma.f64 y (sqrt.f64 x) 1))) x) | |
| 0.5b | (-.f64 (*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) 1)) 3)) 2) (cbrt.f64 (fma.f64 y (sqrt.f64 x) 1))) x) | |
| 19.0b | (-.f64 (cbrt.f64 (pow.f64 (fma.f64 y (sqrt.f64 x) 1) 3)) x) | |
| ✓ | 0.1b | (-.f64 (fma.f64 y (sqrt.f64 x) 1) x) |
| ▶ | 0.4b | (-.f64 (pow.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) 1)) 3) x) |
| 11.9b | (-.f64 (pow.f64 (sqrt.f64 (fma.f64 y (sqrt.f64 x) 1)) 2) x) |
Compiled 163 to 118 computations (27.6% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (-.f64 (pow.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) 1)) 3) x) |
| 0.2b | (fma.f64 y (sqrt.f64 x) 1) | |
| 0.2b | (cbrt.f64 (fma.f64 y (sqrt.f64 x) 1)) | |
| ✓ | 0.3b | (pow.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) 1)) 3) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 6.0ms | x | @ | inf | (pow.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) 1)) 3) |
| 3.0ms | x | @ | 0 | (pow.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) 1)) 3) |
| 2.0ms | x | @ | 0 | (-.f64 (pow.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) 1)) 3) x) |
| 2.0ms | x | @ | -inf | (pow.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) 1)) 3) |
| 1.0ms | x | @ | inf | (-.f64 (pow.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) 1)) 3) x) |
| 1× | batch-egg-rewrite |
| 847× | log1p-expm1-u_binary64 |
| 847× | expm1-log1p-u_binary64 |
| 94× | add-sqr-sqrt_binary64 |
| 88× | add-cbrt-cube_binary64 |
| 88× | add-log-exp_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 17 |
| 1 | 212 | 17 |
| 2 | 2347 | 17 |
| 1× | node limit |
| Inputs |
|---|
(pow.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) 1)) 3) |
(-.f64 (pow.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) 1)) 3) x) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 y (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y (sqrt.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 y (sqrt.f64 x)) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 y (sqrt.f64 x) 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 y (sqrt.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 y (sqrt.f64 x) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) 1)) (pow.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) 1)) 2) (cbrt.f64 (fma.f64 y (sqrt.f64 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) 1))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) 1))) (pow.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) 1)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 y (sqrt.f64 x) 1)) (sqrt.f64 (fma.f64 y (sqrt.f64 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 y (sqrt.f64 x) 1) 1/6) (*.f64 (pow.f64 (fma.f64 y (sqrt.f64 x) 1) 1/6) (pow.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) 1)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) 1))) 2) 3) (cbrt.f64 (fma.f64 y (sqrt.f64 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (fma.f64 y (sqrt.f64 x) 1) 1/6) 3) (pow.f64 (pow.f64 (fma.f64 y (sqrt.f64 x) 1) 1/6) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) 1)) 2) 1) (cbrt.f64 (fma.f64 y (sqrt.f64 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) 1)) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) 1))) 2)) (cbrt.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) 1)) 2) (pow.f64 (fma.f64 y (sqrt.f64 x) 1) 1/6)) (pow.f64 (fma.f64 y (sqrt.f64 x) 1) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) 3) 1) (+.f64 (*.f64 (*.f64 y (sqrt.f64 x)) (*.f64 y (sqrt.f64 x))) (-.f64 1 (*.f64 (*.f64 y (sqrt.f64 x)) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 y (sqrt.f64 x)) (*.f64 y (sqrt.f64 x))) 1) (-.f64 (*.f64 y (sqrt.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 y (sqrt.f64 x) 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 y (sqrt.f64 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 y (sqrt.f64 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 y (sqrt.f64 x) 1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y (sqrt.f64 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 y (sqrt.f64 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 y (sqrt.f64 x) 1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 y (sqrt.f64 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 y (sqrt.f64 x) 1))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 y (sqrt.f64 x) 1) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 y (sqrt.f64 x) 1) (*.f64 (neg.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (fma.f64 y (sqrt.f64 x) 1) x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (fma.f64 y (sqrt.f64 x) 1) x) (fma.f64 (neg.f64 x) 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (fma.f64 y (sqrt.f64 x) 1) x) (fma.f64 (neg.f64 (cbrt.f64 x)) (cbrt.f64 (*.f64 x x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y (sqrt.f64 x)) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y (sqrt.f64 x)) (+.f64 1 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 x) (fma.f64 y (sqrt.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (fma.f64 y (sqrt.f64 x) 1) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (fma.f64 y (sqrt.f64 x) 1) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (fma.f64 y (sqrt.f64 x) 1) x)) (pow.f64 (cbrt.f64 (-.f64 (fma.f64 y (sqrt.f64 x) 1) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (fma.f64 y (sqrt.f64 x) 1) x)) 2) (cbrt.f64 (-.f64 (fma.f64 y (sqrt.f64 x) 1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (fma.f64 y (sqrt.f64 x) 1) x)) (sqrt.f64 (-.f64 (fma.f64 y (sqrt.f64 x) 1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (fma.f64 y (sqrt.f64 x) 1) 3) (pow.f64 x 3)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 y (sqrt.f64 x) 1) 2) (*.f64 x (+.f64 x (fma.f64 y (sqrt.f64 x) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (fma.f64 y (sqrt.f64 x) 1) 2) (*.f64 x x)) (/.f64 1 (+.f64 x (fma.f64 y (sqrt.f64 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (fma.f64 y (sqrt.f64 x) 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (fma.f64 y (sqrt.f64 x) 1)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (fma.f64 y (sqrt.f64 x) 1) 2) (*.f64 x (+.f64 x (fma.f64 y (sqrt.f64 x) 1)))) (-.f64 (pow.f64 (fma.f64 y (sqrt.f64 x) 1) 3) (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 x (fma.f64 y (sqrt.f64 x) 1)) (-.f64 (pow.f64 (fma.f64 y (sqrt.f64 x) 1) 2) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (fma.f64 y (sqrt.f64 x) 1) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (fma.f64 y (sqrt.f64 x) 1) 2) (*.f64 x (+.f64 x (fma.f64 y (sqrt.f64 x) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (fma.f64 y (sqrt.f64 x) 1) 2) (*.f64 x x)) (+.f64 x (fma.f64 y (sqrt.f64 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 y (sqrt.f64 x) 1) 3) (pow.f64 x 3))) (neg.f64 (+.f64 (pow.f64 (fma.f64 y (sqrt.f64 x) 1) 2) (*.f64 x (+.f64 x (fma.f64 y (sqrt.f64 x) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 y (sqrt.f64 x) 1) 2) (*.f64 x x))) (neg.f64 (+.f64 x (fma.f64 y (sqrt.f64 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 y (sqrt.f64 x) 1) 3) (pow.f64 (neg.f64 x) 3)) (+.f64 (pow.f64 (fma.f64 y (sqrt.f64 x) 1) 2) (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 (fma.f64 y (sqrt.f64 x) 1) (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (fma.f64 y (sqrt.f64 x) 1) 2) (*.f64 (neg.f64 x) (neg.f64 x))) (-.f64 (fma.f64 y (sqrt.f64 x) 1) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (fma.f64 y (sqrt.f64 x) 1) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (fma.f64 y (sqrt.f64 x) 1) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 (fma.f64 y (sqrt.f64 x) 1) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 (fma.f64 y (sqrt.f64 x) 1) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (fma.f64 y (sqrt.f64 x) 1) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 (fma.f64 y (sqrt.f64 x) 1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (-.f64 (fma.f64 y (sqrt.f64 x) 1) x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (fma.f64 y (sqrt.f64 x) 1) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 y (sqrt.f64 x) 1) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) 1)) (pow.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) 1)) 2) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) 1)) 2) (cbrt.f64 (fma.f64 y (sqrt.f64 x) 1)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 y (sqrt.f64 x) 1)) (sqrt.f64 (fma.f64 y (sqrt.f64 x) 1)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (fma.f64 y (sqrt.f64 x) 1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (-.f64 (fma.f64 y (sqrt.f64 x) 1) x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 (fma.f64 y (sqrt.f64 x) 1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (fma.f64 y (sqrt.f64 x) 1) x))))))) |
| 1× | egg-herbie |
| 542× | fma-def_binary64 |
| 420× | associate-+l+_binary64 |
| 370× | distribute-lft-out_binary64 |
| 356× | distribute-rgt-out_binary64 |
| 335× | associate-+r+_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 67 | 234 |
| 1 | 212 | 170 |
| 2 | 767 | 132 |
| 3 | 4159 | 118 |
| 1× | node limit |
| Inputs |
|---|
1 |
(+.f64 1 (*.f64 (+.f64 (*.f64 2/3 (sqrt.f64 x)) (*.f64 1/3 (sqrt.f64 x))) y)) |
(+.f64 1 (+.f64 (*.f64 (pow.f64 y 2) (+.f64 (*.f64 -2/9 x) (+.f64 (*.f64 1/9 x) (+.f64 (*.f64 2/9 x) (*.f64 -1/9 x))))) (*.f64 (+.f64 (*.f64 2/3 (sqrt.f64 x)) (*.f64 1/3 (sqrt.f64 x))) y))) |
(+.f64 1 (+.f64 (*.f64 (pow.f64 y 3) (+.f64 (*.f64 -4/27 (sqrt.f64 (pow.f64 x 3))) (+.f64 (*.f64 -1/3 (+.f64 (*.f64 -2/9 (sqrt.f64 (pow.f64 x 3))) (*.f64 1/27 (sqrt.f64 (pow.f64 x 3))))) (+.f64 (*.f64 1/3 (*.f64 (+.f64 (*.f64 1/9 x) (*.f64 -2/9 x)) (sqrt.f64 x))) (*.f64 -2/3 (+.f64 (*.f64 -2/9 (sqrt.f64 (pow.f64 x 3))) (*.f64 1/27 (sqrt.f64 (pow.f64 x 3))))))))) (+.f64 (*.f64 (pow.f64 y 2) (+.f64 (*.f64 -2/9 x) (+.f64 (*.f64 1/9 x) (+.f64 (*.f64 2/9 x) (*.f64 -1/9 x))))) (*.f64 (+.f64 (*.f64 2/3 (sqrt.f64 x)) (*.f64 1/3 (sqrt.f64 x))) y)))) |
1 |
(-.f64 1 x) |
(-.f64 (+.f64 1 (*.f64 (+.f64 (*.f64 2/3 (sqrt.f64 x)) (*.f64 1/3 (sqrt.f64 x))) y)) x) |
(-.f64 (+.f64 1 (+.f64 (*.f64 (pow.f64 y 2) (+.f64 (*.f64 -2/9 x) (+.f64 (*.f64 1/9 x) (+.f64 (*.f64 2/9 x) (*.f64 -1/9 x))))) (*.f64 (+.f64 (*.f64 2/3 (sqrt.f64 x)) (*.f64 1/3 (sqrt.f64 x))) y))) x) |
(-.f64 (+.f64 1 (+.f64 (*.f64 (pow.f64 y 2) (+.f64 (*.f64 -2/9 x) (+.f64 (*.f64 1/9 x) (+.f64 (*.f64 2/9 x) (*.f64 -1/9 x))))) (+.f64 (*.f64 (+.f64 (*.f64 -4/27 (sqrt.f64 (pow.f64 x 3))) (+.f64 (*.f64 -2/3 (+.f64 (*.f64 -2/9 (sqrt.f64 (pow.f64 x 3))) (*.f64 1/27 (sqrt.f64 (pow.f64 x 3))))) (+.f64 (*.f64 -1/3 (+.f64 (*.f64 -2/9 (sqrt.f64 (pow.f64 x 3))) (*.f64 1/27 (sqrt.f64 (pow.f64 x 3))))) (*.f64 1/3 (*.f64 (+.f64 (*.f64 -2/9 x) (*.f64 1/9 x)) (sqrt.f64 x)))))) (pow.f64 y 3)) (*.f64 (+.f64 (*.f64 2/3 (sqrt.f64 x)) (*.f64 1/3 (sqrt.f64 x))) y)))) x) |
(*.f64 -1 x) |
(*.f64 -1 x) |
1 |
(*.f64 -1 x) |
(*.f64 -1 x) |
| Outputs |
|---|
1 |
(+.f64 1 (*.f64 (+.f64 (*.f64 2/3 (sqrt.f64 x)) (*.f64 1/3 (sqrt.f64 x))) y)) |
(+.f64 1 (*.f64 (*.f64 (sqrt.f64 x) 1) y)) |
(fma.f64 (sqrt.f64 x) y 1) |
(+.f64 1 (+.f64 (*.f64 (pow.f64 y 2) (+.f64 (*.f64 -2/9 x) (+.f64 (*.f64 1/9 x) (+.f64 (*.f64 2/9 x) (*.f64 -1/9 x))))) (*.f64 (+.f64 (*.f64 2/3 (sqrt.f64 x)) (*.f64 1/3 (sqrt.f64 x))) y))) |
(+.f64 1 (*.f64 (*.f64 (sqrt.f64 x) 1) y)) |
(fma.f64 (sqrt.f64 x) y 1) |
(+.f64 1 (+.f64 (*.f64 (pow.f64 y 3) (+.f64 (*.f64 -4/27 (sqrt.f64 (pow.f64 x 3))) (+.f64 (*.f64 -1/3 (+.f64 (*.f64 -2/9 (sqrt.f64 (pow.f64 x 3))) (*.f64 1/27 (sqrt.f64 (pow.f64 x 3))))) (+.f64 (*.f64 1/3 (*.f64 (+.f64 (*.f64 1/9 x) (*.f64 -2/9 x)) (sqrt.f64 x))) (*.f64 -2/3 (+.f64 (*.f64 -2/9 (sqrt.f64 (pow.f64 x 3))) (*.f64 1/27 (sqrt.f64 (pow.f64 x 3))))))))) (+.f64 (*.f64 (pow.f64 y 2) (+.f64 (*.f64 -2/9 x) (+.f64 (*.f64 1/9 x) (+.f64 (*.f64 2/9 x) (*.f64 -1/9 x))))) (*.f64 (+.f64 (*.f64 2/3 (sqrt.f64 x)) (*.f64 1/3 (sqrt.f64 x))) y)))) |
(+.f64 1 (fma.f64 (pow.f64 y 3) (fma.f64 -4/27 (sqrt.f64 (pow.f64 x 3)) (fma.f64 -2/3 (*.f64 (sqrt.f64 (pow.f64 x 3)) -5/27) (fma.f64 -1/3 (*.f64 (sqrt.f64 (pow.f64 x 3)) -5/27) (*.f64 1/3 (*.f64 (sqrt.f64 x) (*.f64 x -1/9)))))) (fma.f64 (*.f64 y y) (+.f64 (*.f64 x -1/9) (*.f64 x 1/9)) (*.f64 (*.f64 (sqrt.f64 x) 1) y)))) |
(+.f64 1 (fma.f64 (*.f64 y y) (*.f64 x 0) (fma.f64 (pow.f64 y 3) (fma.f64 -4/27 (sqrt.f64 (pow.f64 x 3)) (+.f64 (*.f64 (sqrt.f64 x) (*.f64 -1/27 x)) (*.f64 (*.f64 (sqrt.f64 (pow.f64 x 3)) -5/27) -1))) (*.f64 (sqrt.f64 x) y)))) |
(fma.f64 (pow.f64 y 3) (+.f64 (*.f64 (pow.f64 x 3/2) 1/27) (*.f64 (sqrt.f64 x) (*.f64 x -1/27))) (fma.f64 (*.f64 y y) 0 (fma.f64 (sqrt.f64 x) y 1))) |
(fma.f64 (pow.f64 y 3) (+.f64 (*.f64 (pow.f64 x 3/2) 1/27) (*.f64 (sqrt.f64 x) (*.f64 x -1/27))) (fma.f64 (sqrt.f64 x) y 1)) |
1 |
(-.f64 1 x) |
(-.f64 (+.f64 1 (*.f64 (+.f64 (*.f64 2/3 (sqrt.f64 x)) (*.f64 1/3 (sqrt.f64 x))) y)) x) |
(+.f64 1 (-.f64 (*.f64 (*.f64 (sqrt.f64 x) 1) y) x)) |
(-.f64 (fma.f64 (sqrt.f64 x) y 1) x) |
(fma.f64 (sqrt.f64 x) y (-.f64 1 x)) |
(-.f64 (+.f64 1 (+.f64 (*.f64 (pow.f64 y 2) (+.f64 (*.f64 -2/9 x) (+.f64 (*.f64 1/9 x) (+.f64 (*.f64 2/9 x) (*.f64 -1/9 x))))) (*.f64 (+.f64 (*.f64 2/3 (sqrt.f64 x)) (*.f64 1/3 (sqrt.f64 x))) y))) x) |
(+.f64 1 (-.f64 (*.f64 (*.f64 (sqrt.f64 x) 1) y) x)) |
(-.f64 (fma.f64 (sqrt.f64 x) y 1) x) |
(fma.f64 (sqrt.f64 x) y (-.f64 1 x)) |
(-.f64 (+.f64 1 (+.f64 (*.f64 (pow.f64 y 2) (+.f64 (*.f64 -2/9 x) (+.f64 (*.f64 1/9 x) (+.f64 (*.f64 2/9 x) (*.f64 -1/9 x))))) (+.f64 (*.f64 (+.f64 (*.f64 -4/27 (sqrt.f64 (pow.f64 x 3))) (+.f64 (*.f64 -2/3 (+.f64 (*.f64 -2/9 (sqrt.f64 (pow.f64 x 3))) (*.f64 1/27 (sqrt.f64 (pow.f64 x 3))))) (+.f64 (*.f64 -1/3 (+.f64 (*.f64 -2/9 (sqrt.f64 (pow.f64 x 3))) (*.f64 1/27 (sqrt.f64 (pow.f64 x 3))))) (*.f64 1/3 (*.f64 (+.f64 (*.f64 -2/9 x) (*.f64 1/9 x)) (sqrt.f64 x)))))) (pow.f64 y 3)) (*.f64 (+.f64 (*.f64 2/3 (sqrt.f64 x)) (*.f64 1/3 (sqrt.f64 x))) y)))) x) |
(+.f64 1 (-.f64 (fma.f64 (*.f64 y y) (+.f64 (*.f64 x -1/9) (*.f64 x 1/9)) (fma.f64 (fma.f64 -4/27 (sqrt.f64 (pow.f64 x 3)) (fma.f64 -2/3 (*.f64 (sqrt.f64 (pow.f64 x 3)) -5/27) (fma.f64 -1/3 (*.f64 (sqrt.f64 (pow.f64 x 3)) -5/27) (*.f64 1/3 (*.f64 (sqrt.f64 x) (*.f64 x -1/9)))))) (pow.f64 y 3) (*.f64 (*.f64 (sqrt.f64 x) 1) y))) x)) |
(+.f64 1 (-.f64 (fma.f64 (*.f64 y y) (*.f64 x 0) (fma.f64 (pow.f64 y 3) (fma.f64 -4/27 (sqrt.f64 (pow.f64 x 3)) (+.f64 (*.f64 (sqrt.f64 x) (*.f64 -1/27 x)) (*.f64 (*.f64 (sqrt.f64 (pow.f64 x 3)) -5/27) -1))) (*.f64 (sqrt.f64 x) y))) x)) |
(-.f64 (fma.f64 (pow.f64 y 3) (+.f64 (*.f64 (pow.f64 x 3/2) 1/27) (*.f64 (sqrt.f64 x) (*.f64 x -1/27))) (fma.f64 (*.f64 y y) 0 (fma.f64 (sqrt.f64 x) y 1))) x) |
(-.f64 (fma.f64 (pow.f64 y 3) (+.f64 (*.f64 (pow.f64 x 3/2) 1/27) (*.f64 (sqrt.f64 x) (*.f64 x -1/27))) (fma.f64 (sqrt.f64 x) y 1)) x) |
(*.f64 -1 x) |
(neg.f64 x) |
(*.f64 -1 x) |
(neg.f64 x) |
1 |
(*.f64 -1 x) |
(neg.f64 x) |
(*.f64 -1 x) |
(neg.f64 x) |
Compiled 2184 to 1335 computations (38.9% saved)
8 alts after pruning (6 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 132 | 3 | 135 |
| Fresh | 1 | 3 | 4 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 1 | 1 |
| Total | 133 | 8 | 141 |
| Status | Error | Program |
|---|---|---|
| ✓ | 0.1b | (-.f64 (fma.f64 y (sqrt.f64 x) 1) x) |
| 0.8b | (-.f64 (pow.f64 (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) 1))) 2) (cbrt.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) 1)))) 3) x) | |
| 13.1b | (-.f64 (*.f64 (cbrt.f64 (pow.f64 (fma.f64 y (sqrt.f64 x) 1) 2)) (cbrt.f64 (fma.f64 y (sqrt.f64 x) 1))) x) | |
| ▶ | 0.5b | (-.f64 (*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) 1)) 3)) 2) (cbrt.f64 (fma.f64 y (sqrt.f64 x) 1))) x) |
| 0.5b | (-.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) 1)) 3)) 3) x) | |
| 19.0b | (-.f64 (cbrt.f64 (pow.f64 (fma.f64 y (sqrt.f64 x) 1) 3)) x) | |
| ✓ | 0.4b | (-.f64 (pow.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) 1)) 3) x) |
| 11.9b | (-.f64 (pow.f64 (sqrt.f64 (fma.f64 y (sqrt.f64 x) 1)) 2) x) |
Compiled 227 to 167 computations (26.4% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.2b | (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) 1)) 3)) 2) |
| ✓ | 0.2b | (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) 1)) 3)) |
| 0.2b | (cbrt.f64 (fma.f64 y (sqrt.f64 x) 1)) | |
| 0.3b | (pow.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) 1)) 3) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | -inf | (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) 1)) 3)) 2) |
| 1.0ms | x | @ | inf | (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) 1)) 3)) 2) |
| 1.0ms | x | @ | -inf | (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) 1)) 3)) |
| 1.0ms | x | @ | inf | (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) 1)) 3)) |
| 0.0ms | y | @ | 0 | (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) 1)) 3)) |
| 1× | batch-egg-rewrite |
| 750× | pow1_binary64 |
| 700× | log1p-expm1-u_binary64 |
| 700× | expm1-log1p-u_binary64 |
| 93× | add-sqr-sqrt_binary64 |
| 88× | add-log-exp_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 21 |
| 1 | 243 | 21 |
| 2 | 2114 | 21 |
| 1× | node limit |
| Inputs |
|---|
(cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) 1)) 3)) |
(pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) 1)) 3)) 2) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (fma.f64 y (sqrt.f64 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) 1))) (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) 1)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) 1)) 2)) (cbrt.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 y (sqrt.f64 x) 1) 1/6) (pow.f64 (fma.f64 y (sqrt.f64 x) 1) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) 1)) 4))) (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) 1)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (fma.f64 y (sqrt.f64 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (fma.f64 y (sqrt.f64 x) 1)) 1/3) (pow.f64 (sqrt.f64 (fma.f64 y (sqrt.f64 x) 1)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 y (sqrt.f64 x) 1) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) 1)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) 1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 y (sqrt.f64 x) 1) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 y (sqrt.f64 x) 1)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) 1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) 1)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) 1)) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) 1)) (cbrt.f64 (fma.f64 y (sqrt.f64 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) 1)) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) 1)) 4)) (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) 1)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) 1)) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) 1)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) 1)) 2)) (*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) 1))) (cbrt.f64 (fma.f64 y (sqrt.f64 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 y (sqrt.f64 x) 1)) (pow.f64 (fma.f64 y (sqrt.f64 x) 1) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 y (sqrt.f64 x) 1) 1/6) (sqrt.f64 (fma.f64 y (sqrt.f64 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) 1)) (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) 1)) 2))) (cbrt.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) 1)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) 1)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) 1)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 y (sqrt.f64 x) 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2 (log.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) 1)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) 1)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) 1)) 2))))))) |
| 1× | egg-herbie |
| 590× | associate-+l+_binary64 |
| 367× | associate-+r+_binary64 |
| 359× | *-commutative_binary64 |
| 343× | fma-def_binary64 |
| 320× | distribute-rgt-out_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 48 | 161 |
| 1 | 142 | 152 |
| 2 | 474 | 130 |
| 3 | 1964 | 130 |
| 4 | 4667 | 130 |
| 1× | node limit |
| Inputs |
|---|
1 |
(+.f64 1 (*.f64 1/3 (*.f64 y (sqrt.f64 x)))) |
(+.f64 1 (+.f64 (*.f64 1/3 (*.f64 y (sqrt.f64 x))) (*.f64 -1/9 (*.f64 (pow.f64 y 2) x)))) |
(+.f64 1 (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 y 3) (+.f64 (*.f64 -2/9 (sqrt.f64 (pow.f64 x 3))) (*.f64 1/27 (sqrt.f64 (pow.f64 x 3)))))) (+.f64 (*.f64 1/3 (*.f64 y (sqrt.f64 x))) (*.f64 -1/9 (*.f64 (pow.f64 y 2) x))))) |
1 |
1 |
(+.f64 1 (*.f64 2/3 (*.f64 y (sqrt.f64 x)))) |
(+.f64 (*.f64 (pow.f64 y 2) (+.f64 (*.f64 -2/9 x) (*.f64 1/9 x))) (+.f64 1 (*.f64 2/3 (*.f64 y (sqrt.f64 x))))) |
(+.f64 (*.f64 (pow.f64 y 2) (+.f64 (*.f64 -2/9 x) (*.f64 1/9 x))) (+.f64 1 (+.f64 (*.f64 2/3 (*.f64 y (sqrt.f64 x))) (*.f64 (+.f64 (*.f64 -2/27 (sqrt.f64 (pow.f64 x 3))) (*.f64 -2/3 (+.f64 (*.f64 -2/9 (sqrt.f64 (pow.f64 x 3))) (*.f64 1/27 (sqrt.f64 (pow.f64 x 3)))))) (pow.f64 y 3))))) |
1 |
| Outputs |
|---|
1 |
(+.f64 1 (*.f64 1/3 (*.f64 y (sqrt.f64 x)))) |
(fma.f64 1/3 (*.f64 y (sqrt.f64 x)) 1) |
(fma.f64 y (*.f64 1/3 (sqrt.f64 x)) 1) |
(+.f64 1 (+.f64 (*.f64 1/3 (*.f64 y (sqrt.f64 x))) (*.f64 -1/9 (*.f64 (pow.f64 y 2) x)))) |
(+.f64 1 (fma.f64 1/3 (*.f64 y (sqrt.f64 x)) (*.f64 -1/9 (*.f64 x (*.f64 y y))))) |
(+.f64 1 (fma.f64 1/3 (*.f64 y (sqrt.f64 x)) (*.f64 y (*.f64 y (*.f64 x -1/9))))) |
(fma.f64 1/3 (*.f64 y (sqrt.f64 x)) (fma.f64 x (*.f64 -1/9 (*.f64 y y)) 1)) |
(fma.f64 y (*.f64 y (*.f64 x -1/9)) (fma.f64 y (*.f64 1/3 (sqrt.f64 x)) 1)) |
(+.f64 1 (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 y 3) (+.f64 (*.f64 -2/9 (sqrt.f64 (pow.f64 x 3))) (*.f64 1/27 (sqrt.f64 (pow.f64 x 3)))))) (+.f64 (*.f64 1/3 (*.f64 y (sqrt.f64 x))) (*.f64 -1/9 (*.f64 (pow.f64 y 2) x))))) |
(+.f64 1 (fma.f64 -1/3 (*.f64 (pow.f64 y 3) (*.f64 (sqrt.f64 (pow.f64 x 3)) -5/27)) (fma.f64 1/3 (*.f64 y (sqrt.f64 x)) (*.f64 -1/9 (*.f64 x (*.f64 y y)))))) |
(+.f64 1 (fma.f64 -1/3 (*.f64 (pow.f64 y 3) (*.f64 (sqrt.f64 (pow.f64 x 3)) -5/27)) (fma.f64 1/3 (*.f64 y (sqrt.f64 x)) (*.f64 y (*.f64 y (*.f64 x -1/9)))))) |
(fma.f64 (pow.f64 y 3) (*.f64 (pow.f64 x 3/2) 5/81) (fma.f64 1/3 (*.f64 y (sqrt.f64 x)) (fma.f64 x (*.f64 -1/9 (*.f64 y y)) 1))) |
(fma.f64 (pow.f64 y 3) (*.f64 (pow.f64 x 3/2) 5/81) (fma.f64 y (*.f64 y (*.f64 x -1/9)) (fma.f64 y (*.f64 1/3 (sqrt.f64 x)) 1))) |
1 |
1 |
(+.f64 1 (*.f64 2/3 (*.f64 y (sqrt.f64 x)))) |
(+.f64 1 (*.f64 (*.f64 y (sqrt.f64 x)) 2/3)) |
(fma.f64 (*.f64 y (sqrt.f64 x)) 2/3 1) |
(fma.f64 (sqrt.f64 x) (*.f64 y 2/3) 1) |
(fma.f64 y (*.f64 (sqrt.f64 x) 2/3) 1) |
(+.f64 (*.f64 (pow.f64 y 2) (+.f64 (*.f64 -2/9 x) (*.f64 1/9 x))) (+.f64 1 (*.f64 2/3 (*.f64 y (sqrt.f64 x))))) |
(fma.f64 (*.f64 y y) (*.f64 x -1/9) (+.f64 1 (*.f64 (*.f64 y (sqrt.f64 x)) 2/3))) |
(fma.f64 (*.f64 y y) (*.f64 x -1/9) (fma.f64 (*.f64 y (sqrt.f64 x)) 2/3 1)) |
(fma.f64 y (*.f64 y (*.f64 x -1/9)) (fma.f64 (sqrt.f64 x) (*.f64 y 2/3) 1)) |
(fma.f64 x (*.f64 y (*.f64 y -1/9)) (fma.f64 y (*.f64 (sqrt.f64 x) 2/3) 1)) |
(+.f64 (*.f64 (pow.f64 y 2) (+.f64 (*.f64 -2/9 x) (*.f64 1/9 x))) (+.f64 1 (+.f64 (*.f64 2/3 (*.f64 y (sqrt.f64 x))) (*.f64 (+.f64 (*.f64 -2/27 (sqrt.f64 (pow.f64 x 3))) (*.f64 -2/3 (+.f64 (*.f64 -2/9 (sqrt.f64 (pow.f64 x 3))) (*.f64 1/27 (sqrt.f64 (pow.f64 x 3)))))) (pow.f64 y 3))))) |
(fma.f64 (*.f64 y y) (*.f64 x -1/9) (+.f64 1 (fma.f64 2/3 (*.f64 y (sqrt.f64 x)) (*.f64 (pow.f64 y 3) (fma.f64 -2/27 (sqrt.f64 (pow.f64 x 3)) (*.f64 (*.f64 (sqrt.f64 (pow.f64 x 3)) -5/27) -2/3)))))) |
(+.f64 (fma.f64 (pow.f64 y 3) (fma.f64 (sqrt.f64 (pow.f64 x 3)) -2/27 (*.f64 (sqrt.f64 (pow.f64 x 3)) 10/81)) (*.f64 (sqrt.f64 x) (*.f64 y 2/3))) (fma.f64 (*.f64 y y) (*.f64 x -1/9) 1)) |
(fma.f64 y (*.f64 y (*.f64 x -1/9)) (fma.f64 y (*.f64 (sqrt.f64 x) 2/3) (fma.f64 (pow.f64 y 3) (*.f64 (pow.f64 x 3/2) 4/81) 1))) |
(fma.f64 y (*.f64 y (*.f64 x -1/9)) (fma.f64 (pow.f64 y 3) (*.f64 (pow.f64 x 3/2) 4/81) (fma.f64 y (*.f64 (sqrt.f64 x) 2/3) 1))) |
1 |
Compiled 3607 to 2370 computations (34.3% saved)
9 alts after pruning (6 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 142 | 1 | 143 |
| Fresh | 0 | 5 | 5 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 2 | 2 |
| Total | 142 | 9 | 151 |
| Status | Error | Program |
|---|---|---|
| ✓ | 0.1b | (-.f64 (fma.f64 y (sqrt.f64 x) 1) x) |
| 0.8b | (-.f64 (pow.f64 (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) 1))) 2) (cbrt.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) 1)))) 3) x) | |
| 13.1b | (-.f64 (*.f64 (cbrt.f64 (pow.f64 (fma.f64 y (sqrt.f64 x) 1) 2)) (cbrt.f64 (fma.f64 y (sqrt.f64 x) 1))) x) | |
| ✓ | 0.5b | (-.f64 (*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) 1)) 3)) 2) (cbrt.f64 (fma.f64 y (sqrt.f64 x) 1))) x) |
| 0.5b | (-.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) 1)) 3)) 3) x) | |
| 19.0b | (-.f64 (cbrt.f64 (pow.f64 (fma.f64 y (sqrt.f64 x) 1) 3)) x) | |
| ✓ | 0.4b | (-.f64 (pow.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) 1)) 3) x) |
| 0.5b | (-.f64 (*.f64 (*.f64 (*.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) 1)) (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) 1)) 2))) (cbrt.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) 1)))) (cbrt.f64 (fma.f64 y (sqrt.f64 x) 1))) x) | |
| 11.9b | (-.f64 (pow.f64 (sqrt.f64 (fma.f64 y (sqrt.f64 x) 1)) 2) x) |
Compiled 159 to 114 computations (28.3% saved)
Total -23.0b remaining (-20340.7%)
Threshold costs -23.0b (-20340.7%)
| Inputs |
|---|
(-.f64 (*.f64 (*.f64 (*.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) 1)) (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) 1)) 2))) (cbrt.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) 1)))) (cbrt.f64 (fma.f64 y (sqrt.f64 x) 1))) x) |
(-.f64 (pow.f64 (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) 1))) 2) (cbrt.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) 1)))) 3) x) |
(-.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) 1)) 3)) 3) x) |
(-.f64 (cbrt.f64 (pow.f64 (fma.f64 y (sqrt.f64 x) 1) 3)) x) |
(-.f64 (*.f64 (cbrt.f64 (pow.f64 (fma.f64 y (sqrt.f64 x) 1) 2)) (cbrt.f64 (fma.f64 y (sqrt.f64 x) 1))) x) |
(-.f64 (*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) 1)) 3)) 2) (cbrt.f64 (fma.f64 y (sqrt.f64 x) 1))) x) |
(-.f64 (cbrt.f64 (pow.f64 (fma.f64 y (sqrt.f64 x) 1) 3)) x) |
(-.f64 (pow.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) 1)) 3) x) |
(-.f64 (pow.f64 (sqrt.f64 (fma.f64 y (sqrt.f64 x) 1)) 2) x) |
(-.f64 (cbrt.f64 (pow.f64 (fma.f64 y (sqrt.f64 x) 1) 3)) x) |
(-.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) 1)) 2) (cbrt.f64 (fma.f64 y (sqrt.f64 x) 1))) x) |
(-.f64 (pow.f64 (sqrt.f64 (fma.f64 y (sqrt.f64 x) 1)) 2) x) |
(-.f64 (pow.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) 1)) 3) x) |
(-.f64 (/.f64 (+.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) 3) 1) (+.f64 (*.f64 (*.f64 y (sqrt.f64 x)) (*.f64 y (sqrt.f64 x))) (-.f64 1 (*.f64 (*.f64 y (sqrt.f64 x)) 1)))) x) |
(-.f64 (fma.f64 y (sqrt.f64 x) 1) x) |
(+.f64 (-.f64 1 x) (*.f64 y (sqrt.f64 x))) |
| Outputs |
|---|
(-.f64 (fma.f64 y (sqrt.f64 x) 1) x) |
| Time | Error | Segments | Branch |
| 9.0ms | 0.1b | 1 | x |
| 8.0ms | 0.1b | 1 | y |
| 10.0ms | 0.1b | 1 | (+.f64 (-.f64 1 x) (*.f64 y (sqrt.f64 x))) |
Compiled 253 to 151 computations (40.3% saved)
| 1× | egg-herbie |
| 2× | +-commutative_binary64 |
| 2× | sub-neg_binary64 |
| 1× | *-commutative_binary64 |
| 1× | neg-sub0_binary64 |
| 1× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 10 |
| 1 | 11 | 10 |
| 2 | 15 | 10 |
| 3 | 17 | 10 |
| 4 | 18 | 10 |
| 1× | saturated |
| Inputs |
|---|
(-.f64 (fma.f64 y (sqrt.f64 x) 1) x) |
| Outputs |
|---|
(-.f64 (fma.f64 y (sqrt.f64 x) 1) x) |
| 1× | fuel |
Compiled 18 to 12 computations (33.3% saved)
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