Time bar (total: 11.3s)
| 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% | 99.9% | 0.1% | 4 |
| 0% | 99.9% | 0.1% | 5 |
| 0% | 99.9% | 0.1% | 6 |
| 25% | 74.9% | 0.1% | 7 |
| 37.4% | 62.4% | 0.1% | 8 |
| 37.4% | 62.4% | 0.1% | 9 |
| 56.2% | 43.7% | 0.1% | 10 |
| 65.5% | 34.3% | 0.1% | 11 |
| 65.5% | 34.3% | 0.1% | 12 |
Compiled 13 to 9 computations (30.8% saved)
| 2.6s | 6278× | body | 256 | valid |
| 685.0ms | 1296× | body | 1024 | valid |
| 413.0ms | 682× | body | 512 | valid |
| 2× | egg-herbie |
| 792× | fma-neg_binary64 |
| 609× | fma-def_binary64 |
| 208× | cancel-sign-sub-inv_binary64 |
| 156× | distribute-rgt-in_binary64 |
| 147× | associate--r+_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 22 | 56 |
| 1 | 57 | 56 |
| 2 | 128 | 56 |
| 3 | 237 | 56 |
| 4 | 428 | 56 |
| 5 | 700 | 56 |
| 6 | 1229 | 56 |
| 7 | 2101 | 56 |
| 8 | 2773 | 56 |
| 9 | 3156 | 56 |
| 10 | 3188 | 56 |
| 0 | 3 | 3 |
| 1× | saturated |
| 1× | saturated |
| Inputs |
|---|
0 |
1 |
2 |
| Outputs |
|---|
0 |
1 |
2 |
| Inputs |
|---|
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(-.f64 (+.f64 y (cos.f64 x)) (*.f64 z (sin.f64 x))) |
(-.f64 (+.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))) |
(-.f64 (+.f64 x (cos.f64 z)) (*.f64 y (sin.f64 z))) |
| Outputs |
|---|
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) |
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))) |
(-.f64 (cos.f64 y) (-.f64 (*.f64 z (sin.f64 y)) x)) |
(-.f64 (+.f64 y (cos.f64 x)) (*.f64 z (sin.f64 x))) |
(+.f64 y (-.f64 (cos.f64 x) (*.f64 z (sin.f64 x)))) |
(+.f64 (cos.f64 x) (-.f64 y (*.f64 z (sin.f64 x)))) |
(-.f64 (+.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))) |
(+.f64 z (-.f64 (cos.f64 y) (*.f64 x (sin.f64 y)))) |
(-.f64 (+.f64 (cos.f64 y) z) (*.f64 x (sin.f64 y))) |
(-.f64 (cos.f64 y) (fma.f64 x (sin.f64 y) (neg.f64 z))) |
(+.f64 (cos.f64 y) (-.f64 z (*.f64 x (sin.f64 y)))) |
(-.f64 (+.f64 x (cos.f64 z)) (*.f64 y (sin.f64 z))) |
(+.f64 x (-.f64 (cos.f64 z) (*.f64 y (sin.f64 z)))) |
(+.f64 (cos.f64 z) (-.f64 x (*.f64 y (sin.f64 z)))) |
Compiled 15 to 11 computations (26.7% saved)
| 1× | egg-herbie |
| 228× | fma-def_binary64 |
| 171× | fma-neg_binary64 |
| 68× | cancel-sign-sub-inv_binary64 |
| 43× | distribute-rgt-in_binary64 |
| 39× | associate--r+_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 14 |
| 1 | 18 | 14 |
| 2 | 38 | 14 |
| 3 | 67 | 14 |
| 4 | 118 | 14 |
| 5 | 183 | 14 |
| 6 | 322 | 14 |
| 7 | 532 | 14 |
| 8 | 683 | 14 |
| 9 | 848 | 14 |
| 10 | 952 | 14 |
| 11 | 962 | 14 |
| 1× | saturated |
| Inputs |
|---|
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| Outputs |
|---|
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) |
(-.f64 x (fma.f64 z (sin.f64 y) (neg.f64 (cos.f64 y)))) |
Compiled 21 to 11 computations (47.6% 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 |
|---|---|---|
| ▶ | 0.1b | (-.f64 x (fma.f64 z (sin.f64 y) (neg.f64 (cos.f64 y)))) |
| ▶ | 0.1b | (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
Compiled 24 to 16 computations (33.3% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (-.f64 x (fma.f64 z (sin.f64 y) (neg.f64 (cos.f64 y)))) |
| ✓ | 0.1b | (fma.f64 z (sin.f64 y) (neg.f64 (cos.f64 y))) |
Compiled 29 to 8 computations (72.4% saved)
15 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | z | @ | 0 | (fma.f64 z (sin.f64 y) (neg.f64 (cos.f64 y))) |
| 1.0ms | y | @ | 0 | (fma.f64 z (sin.f64 y) (neg.f64 (cos.f64 y))) |
| 1.0ms | x | @ | 0 | (-.f64 x (fma.f64 z (sin.f64 y) (neg.f64 (cos.f64 y)))) |
| 1.0ms | y | @ | -inf | (fma.f64 z (sin.f64 y) (neg.f64 (cos.f64 y))) |
| 1.0ms | y | @ | inf | (fma.f64 z (sin.f64 y) (neg.f64 (cos.f64 y))) |
| 1× | batch-egg-rewrite |
| 954× | pow1_binary64 |
| 880× | add-log-exp_binary64 |
| 879× | log1p-expm1-u_binary64 |
| 879× | expm1-log1p-u_binary64 |
| 103× | add-sqr-sqrt_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 25 |
| 1 | 191 | 21 |
| 2 | 2572 | 21 |
| 1× | node limit |
| Inputs |
|---|
(fma.f64 z (sin.f64 y) (neg.f64 (cos.f64 y))) |
(-.f64 x (fma.f64 z (sin.f64 y) (neg.f64 (cos.f64 y)))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 z (sin.f64 y)) (cos.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 z (sin.f64 y)) 1) (cos.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 z (sin.f64 y)) (cos.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 z (sin.f64 y) (cos.f64 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 z (sin.f64 y)) 0) (cos.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 z (sin.f64 y) (cos.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 z (sin.f64 y) (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) (cos.f64 y))) (cbrt.f64 (pow.f64 (fma.f64 z (sin.f64 y) (cos.f64 y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (fma.f64 z (sin.f64 y) (cos.f64 y)) 2)) (cbrt.f64 (fma.f64 z (sin.f64 y) (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 z (sin.f64 y) (cos.f64 y))) (sqrt.f64 (fma.f64 z (sin.f64 y) (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3) (pow.f64 (cos.f64 y) 3)) (+.f64 (*.f64 (*.f64 z (sin.f64 y)) (*.f64 z (sin.f64 y))) (-.f64 (pow.f64 (cos.f64 y) 2) (*.f64 (*.f64 z (sin.f64 y)) (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 z (sin.f64 y)) (*.f64 z (sin.f64 y))) (pow.f64 (cos.f64 y) 2)) (fma.f64 z (sin.f64 y) (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 z (sin.f64 y) (cos.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) (cos.f64 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 z (sin.f64 y) (cos.f64 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 z (sin.f64 y) (cos.f64 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 z (sin.f64 y) (cos.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 z (sin.f64 y) (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 z (sin.f64 y) (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 z (sin.f64 y) (cos.f64 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 z (sin.f64 y) (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 z (sin.f64 y) (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 z (sin.f64 y) (cos.f64 y)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (neg.f64 (fma.f64 z (sin.f64 y) (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 (neg.f64 (fma.f64 z (sin.f64 y) (cos.f64 y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y))) (fma.f64 (neg.f64 (fma.f64 z (sin.f64 y) (cos.f64 y))) 1 (fma.f64 z (sin.f64 y) (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y))) (fma.f64 (neg.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) (cos.f64 y)))) (cbrt.f64 (pow.f64 (fma.f64 z (sin.f64 y) (cos.f64 y)) 2)) (fma.f64 z (sin.f64 y) (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y))) (fma.f64 (neg.f64 (sqrt.f64 (fma.f64 z (sin.f64 y) (cos.f64 y)))) (sqrt.f64 (fma.f64 z (sin.f64 y) (cos.f64 y))) (fma.f64 z (sin.f64 y) (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (fma.f64 z (sin.f64 y) (cos.f64 y))) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y)))) (pow.f64 (cbrt.f64 (-.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y)))) 2) (cbrt.f64 (-.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y)))) (sqrt.f64 (-.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 x 3) (pow.f64 (fma.f64 z (sin.f64 y) (cos.f64 y)) 3)) (/.f64 1 (fma.f64 x x (*.f64 (fma.f64 z (sin.f64 y) (cos.f64 y)) (+.f64 (fma.f64 z (sin.f64 y) (cos.f64 y)) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 x x) (pow.f64 (fma.f64 z (sin.f64 y) (cos.f64 y)) 2)) (/.f64 1 (+.f64 (fma.f64 z (sin.f64 y) (cos.f64 y)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (fma.f64 z (sin.f64 y) (cos.f64 y)))) (-.f64 (sqrt.f64 x) (sqrt.f64 (fma.f64 z (sin.f64 y) (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x x (*.f64 (fma.f64 z (sin.f64 y) (cos.f64 y)) (+.f64 (fma.f64 z (sin.f64 y) (cos.f64 y)) x))) (-.f64 (pow.f64 x 3) (pow.f64 (fma.f64 z (sin.f64 y) (cos.f64 y)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (fma.f64 z (sin.f64 y) (cos.f64 y)) x) (-.f64 (*.f64 x x) (pow.f64 (fma.f64 z (sin.f64 y) (cos.f64 y)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 x 3) (pow.f64 (fma.f64 z (sin.f64 y) (cos.f64 y)) 3)) (fma.f64 x x (*.f64 (fma.f64 z (sin.f64 y) (cos.f64 y)) (+.f64 (fma.f64 z (sin.f64 y) (cos.f64 y)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (pow.f64 (fma.f64 z (sin.f64 y) (cos.f64 y)) 2)) (+.f64 (fma.f64 z (sin.f64 y) (cos.f64 y)) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 x 3) (pow.f64 (fma.f64 z (sin.f64 y) (cos.f64 y)) 3))) (neg.f64 (fma.f64 x x (*.f64 (fma.f64 z (sin.f64 y) (cos.f64 y)) (+.f64 (fma.f64 z (sin.f64 y) (cos.f64 y)) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (fma.f64 z (sin.f64 y) (cos.f64 y)) 2))) (neg.f64 (+.f64 (fma.f64 z (sin.f64 y) (cos.f64 y)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 (neg.f64 (fma.f64 z (sin.f64 y) (cos.f64 y))) 3)) (+.f64 (*.f64 x x) (-.f64 (*.f64 (neg.f64 (fma.f64 z (sin.f64 y) (cos.f64 y))) (neg.f64 (fma.f64 z (sin.f64 y) (cos.f64 y)))) (*.f64 x (neg.f64 (fma.f64 z (sin.f64 y) (cos.f64 y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (*.f64 (neg.f64 (fma.f64 z (sin.f64 y) (cos.f64 y))) (neg.f64 (fma.f64 z (sin.f64 y) (cos.f64 y))))) (-.f64 x (neg.f64 (fma.f64 z (sin.f64 y) (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (-.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (neg.f64 (fma.f64 z (sin.f64 y) (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (neg.f64 (fma.f64 z (sin.f64 y) (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (neg.f64 (fma.f64 z (sin.f64 y) (cos.f64 y)))))))) |
| 1× | egg-herbie |
| 866× | cancel-sign-sub-inv_binary64 |
| 807× | fma-def_binary64 |
| 680× | fma-neg_binary64 |
| 375× | sub-neg_binary64 |
| 331× | *-commutative_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 48 | 708 |
| 1 | 141 | 702 |
| 2 | 342 | 694 |
| 3 | 967 | 683 |
| 4 | 3346 | 683 |
| 5 | 7384 | 683 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -1 (cos.f64 y)) |
(+.f64 (*.f64 -1 (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(+.f64 (*.f64 -1 (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(+.f64 (*.f64 -1 (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(*.f64 z (sin.f64 y)) |
(+.f64 (*.f64 -1 (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(+.f64 (*.f64 -1 (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(+.f64 (*.f64 -1 (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(*.f64 z (sin.f64 y)) |
(+.f64 (*.f64 -1 (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(+.f64 (*.f64 -1 (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(+.f64 (*.f64 -1 (cos.f64 y)) (*.f64 z (sin.f64 y))) |
-1 |
(-.f64 (*.f64 y z) 1) |
(-.f64 (+.f64 (*.f64 y z) (*.f64 1/2 (pow.f64 y 2))) 1) |
(-.f64 (+.f64 (*.f64 y z) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)) (*.f64 1/2 (pow.f64 y 2)))) 1) |
(-.f64 (*.f64 z (sin.f64 y)) (cos.f64 y)) |
(-.f64 (*.f64 z (sin.f64 y)) (cos.f64 y)) |
(-.f64 (*.f64 z (sin.f64 y)) (cos.f64 y)) |
(-.f64 (*.f64 z (sin.f64 y)) (cos.f64 y)) |
(-.f64 (*.f64 z (sin.f64 y)) (cos.f64 y)) |
(-.f64 (*.f64 z (sin.f64 y)) (cos.f64 y)) |
(-.f64 (*.f64 z (sin.f64 y)) (cos.f64 y)) |
(-.f64 (*.f64 z (sin.f64 y)) (cos.f64 y)) |
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) |
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
x |
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
x |
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(+.f64 (cos.f64 y) x) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x)) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x)) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x)) |
(*.f64 -1 (*.f64 z (sin.f64 y))) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x)) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x)) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x)) |
(*.f64 -1 (*.f64 z (sin.f64 y))) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x)) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x)) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x)) |
(+.f64 1 x) |
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 y z)) x)) |
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 -1/2 (pow.f64 y 2)) x))) |
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 y 3) z)) x)))) |
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
| Outputs |
|---|
(*.f64 -1 (cos.f64 y)) |
(neg.f64 (cos.f64 y)) |
(+.f64 (*.f64 -1 (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(-.f64 (*.f64 z (sin.f64 y)) (cos.f64 y)) |
(fma.f64 z (sin.f64 y) (neg.f64 (cos.f64 y))) |
(+.f64 (*.f64 -1 (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(-.f64 (*.f64 z (sin.f64 y)) (cos.f64 y)) |
(fma.f64 z (sin.f64 y) (neg.f64 (cos.f64 y))) |
(+.f64 (*.f64 -1 (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(-.f64 (*.f64 z (sin.f64 y)) (cos.f64 y)) |
(fma.f64 z (sin.f64 y) (neg.f64 (cos.f64 y))) |
(*.f64 z (sin.f64 y)) |
(+.f64 (*.f64 -1 (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(-.f64 (*.f64 z (sin.f64 y)) (cos.f64 y)) |
(fma.f64 z (sin.f64 y) (neg.f64 (cos.f64 y))) |
(+.f64 (*.f64 -1 (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(-.f64 (*.f64 z (sin.f64 y)) (cos.f64 y)) |
(fma.f64 z (sin.f64 y) (neg.f64 (cos.f64 y))) |
(+.f64 (*.f64 -1 (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(-.f64 (*.f64 z (sin.f64 y)) (cos.f64 y)) |
(fma.f64 z (sin.f64 y) (neg.f64 (cos.f64 y))) |
(*.f64 z (sin.f64 y)) |
(+.f64 (*.f64 -1 (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(-.f64 (*.f64 z (sin.f64 y)) (cos.f64 y)) |
(fma.f64 z (sin.f64 y) (neg.f64 (cos.f64 y))) |
(+.f64 (*.f64 -1 (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(-.f64 (*.f64 z (sin.f64 y)) (cos.f64 y)) |
(fma.f64 z (sin.f64 y) (neg.f64 (cos.f64 y))) |
(+.f64 (*.f64 -1 (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(-.f64 (*.f64 z (sin.f64 y)) (cos.f64 y)) |
(fma.f64 z (sin.f64 y) (neg.f64 (cos.f64 y))) |
-1 |
(-.f64 (*.f64 y z) 1) |
(fma.f64 y z -1) |
(-.f64 (+.f64 (*.f64 y z) (*.f64 1/2 (pow.f64 y 2))) 1) |
(+.f64 (fma.f64 y z (*.f64 1/2 (*.f64 y y))) -1) |
(fma.f64 y z (fma.f64 1/2 (*.f64 y y) -1)) |
(fma.f64 y z (fma.f64 y (*.f64 y 1/2) -1)) |
(fma.f64 y (fma.f64 y 1/2 z) -1) |
(-.f64 (+.f64 (*.f64 y z) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)) (*.f64 1/2 (pow.f64 y 2)))) 1) |
(+.f64 (fma.f64 y z (fma.f64 -1/6 (*.f64 z (pow.f64 y 3)) (*.f64 1/2 (*.f64 y y)))) -1) |
(+.f64 (*.f64 z (+.f64 y (*.f64 -1/6 (pow.f64 y 3)))) (fma.f64 1/2 (*.f64 y y) -1)) |
(fma.f64 z (+.f64 y (*.f64 -1/6 (pow.f64 y 3))) (fma.f64 y (*.f64 y 1/2) -1)) |
(fma.f64 y (*.f64 y 1/2) (fma.f64 z (fma.f64 -1/6 (pow.f64 y 3) y) -1)) |
(-.f64 (*.f64 z (sin.f64 y)) (cos.f64 y)) |
(fma.f64 z (sin.f64 y) (neg.f64 (cos.f64 y))) |
(-.f64 (*.f64 z (sin.f64 y)) (cos.f64 y)) |
(fma.f64 z (sin.f64 y) (neg.f64 (cos.f64 y))) |
(-.f64 (*.f64 z (sin.f64 y)) (cos.f64 y)) |
(fma.f64 z (sin.f64 y) (neg.f64 (cos.f64 y))) |
(-.f64 (*.f64 z (sin.f64 y)) (cos.f64 y)) |
(fma.f64 z (sin.f64 y) (neg.f64 (cos.f64 y))) |
(-.f64 (*.f64 z (sin.f64 y)) (cos.f64 y)) |
(fma.f64 z (sin.f64 y) (neg.f64 (cos.f64 y))) |
(-.f64 (*.f64 z (sin.f64 y)) (cos.f64 y)) |
(fma.f64 z (sin.f64 y) (neg.f64 (cos.f64 y))) |
(-.f64 (*.f64 z (sin.f64 y)) (cos.f64 y)) |
(fma.f64 z (sin.f64 y) (neg.f64 (cos.f64 y))) |
(-.f64 (*.f64 z (sin.f64 y)) (cos.f64 y)) |
(fma.f64 z (sin.f64 y) (neg.f64 (cos.f64 y))) |
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) |
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))) |
(-.f64 x (fma.f64 z (sin.f64 y) (neg.f64 (cos.f64 y)))) |
(-.f64 (cos.f64 y) (-.f64 (*.f64 z (sin.f64 y)) x)) |
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))) |
(-.f64 x (fma.f64 z (sin.f64 y) (neg.f64 (cos.f64 y)))) |
(-.f64 (cos.f64 y) (-.f64 (*.f64 z (sin.f64 y)) x)) |
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))) |
(-.f64 x (fma.f64 z (sin.f64 y) (neg.f64 (cos.f64 y)))) |
(-.f64 (cos.f64 y) (-.f64 (*.f64 z (sin.f64 y)) x)) |
x |
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))) |
(-.f64 x (fma.f64 z (sin.f64 y) (neg.f64 (cos.f64 y)))) |
(-.f64 (cos.f64 y) (-.f64 (*.f64 z (sin.f64 y)) x)) |
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))) |
(-.f64 x (fma.f64 z (sin.f64 y) (neg.f64 (cos.f64 y)))) |
(-.f64 (cos.f64 y) (-.f64 (*.f64 z (sin.f64 y)) x)) |
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))) |
(-.f64 x (fma.f64 z (sin.f64 y) (neg.f64 (cos.f64 y)))) |
(-.f64 (cos.f64 y) (-.f64 (*.f64 z (sin.f64 y)) x)) |
x |
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))) |
(-.f64 x (fma.f64 z (sin.f64 y) (neg.f64 (cos.f64 y)))) |
(-.f64 (cos.f64 y) (-.f64 (*.f64 z (sin.f64 y)) x)) |
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))) |
(-.f64 x (fma.f64 z (sin.f64 y) (neg.f64 (cos.f64 y)))) |
(-.f64 (cos.f64 y) (-.f64 (*.f64 z (sin.f64 y)) x)) |
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))) |
(-.f64 x (fma.f64 z (sin.f64 y) (neg.f64 (cos.f64 y)))) |
(-.f64 (cos.f64 y) (-.f64 (*.f64 z (sin.f64 y)) x)) |
(+.f64 (cos.f64 y) x) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x)) |
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))) |
(-.f64 x (fma.f64 z (sin.f64 y) (neg.f64 (cos.f64 y)))) |
(-.f64 (cos.f64 y) (-.f64 (*.f64 z (sin.f64 y)) x)) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x)) |
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))) |
(-.f64 x (fma.f64 z (sin.f64 y) (neg.f64 (cos.f64 y)))) |
(-.f64 (cos.f64 y) (-.f64 (*.f64 z (sin.f64 y)) x)) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x)) |
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))) |
(-.f64 x (fma.f64 z (sin.f64 y) (neg.f64 (cos.f64 y)))) |
(-.f64 (cos.f64 y) (-.f64 (*.f64 z (sin.f64 y)) x)) |
(*.f64 -1 (*.f64 z (sin.f64 y))) |
(neg.f64 (*.f64 z (sin.f64 y))) |
(*.f64 z (neg.f64 (sin.f64 y))) |
(*.f64 (sin.f64 y) (neg.f64 z)) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x)) |
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))) |
(-.f64 x (fma.f64 z (sin.f64 y) (neg.f64 (cos.f64 y)))) |
(-.f64 (cos.f64 y) (-.f64 (*.f64 z (sin.f64 y)) x)) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x)) |
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))) |
(-.f64 x (fma.f64 z (sin.f64 y) (neg.f64 (cos.f64 y)))) |
(-.f64 (cos.f64 y) (-.f64 (*.f64 z (sin.f64 y)) x)) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x)) |
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))) |
(-.f64 x (fma.f64 z (sin.f64 y) (neg.f64 (cos.f64 y)))) |
(-.f64 (cos.f64 y) (-.f64 (*.f64 z (sin.f64 y)) x)) |
(*.f64 -1 (*.f64 z (sin.f64 y))) |
(neg.f64 (*.f64 z (sin.f64 y))) |
(*.f64 z (neg.f64 (sin.f64 y))) |
(*.f64 (sin.f64 y) (neg.f64 z)) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x)) |
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))) |
(-.f64 x (fma.f64 z (sin.f64 y) (neg.f64 (cos.f64 y)))) |
(-.f64 (cos.f64 y) (-.f64 (*.f64 z (sin.f64 y)) x)) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x)) |
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))) |
(-.f64 x (fma.f64 z (sin.f64 y) (neg.f64 (cos.f64 y)))) |
(-.f64 (cos.f64 y) (-.f64 (*.f64 z (sin.f64 y)) x)) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x)) |
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))) |
(-.f64 x (fma.f64 z (sin.f64 y) (neg.f64 (cos.f64 y)))) |
(-.f64 (cos.f64 y) (-.f64 (*.f64 z (sin.f64 y)) x)) |
(+.f64 1 x) |
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 y z)) x)) |
(+.f64 1 (fma.f64 -1 (*.f64 y z) x)) |
(+.f64 1 (-.f64 x (*.f64 y z))) |
(-.f64 x (fma.f64 y z -1)) |
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 -1/2 (pow.f64 y 2)) x))) |
(+.f64 1 (fma.f64 -1 (*.f64 y z) (fma.f64 -1/2 (*.f64 y y) x))) |
(+.f64 (fma.f64 (*.f64 y y) -1/2 x) (-.f64 1 (*.f64 y z))) |
(-.f64 (fma.f64 (*.f64 y y) -1/2 x) (fma.f64 y z -1)) |
(-.f64 x (fma.f64 y (fma.f64 y 1/2 z) -1)) |
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 y 3) z)) x)))) |
(+.f64 1 (fma.f64 -1 (*.f64 y z) (fma.f64 -1/2 (*.f64 y y) (fma.f64 1/6 (*.f64 z (pow.f64 y 3)) x)))) |
(+.f64 (fma.f64 (*.f64 y y) -1/2 (fma.f64 (*.f64 z (pow.f64 y 3)) 1/6 x)) (-.f64 1 (*.f64 y z))) |
(-.f64 (fma.f64 y (*.f64 y -1/2) (fma.f64 z (*.f64 (pow.f64 y 3) 1/6) x)) (fma.f64 y z -1)) |
(-.f64 (fma.f64 (*.f64 y y) -1/2 x) (fma.f64 z (fma.f64 -1/6 (pow.f64 y 3) y) -1)) |
(-.f64 x (fma.f64 y (*.f64 y 1/2) (fma.f64 z (fma.f64 -1/6 (pow.f64 y 3) y) -1))) |
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))) |
(-.f64 x (fma.f64 z (sin.f64 y) (neg.f64 (cos.f64 y)))) |
(-.f64 (cos.f64 y) (-.f64 (*.f64 z (sin.f64 y)) x)) |
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))) |
(-.f64 x (fma.f64 z (sin.f64 y) (neg.f64 (cos.f64 y)))) |
(-.f64 (cos.f64 y) (-.f64 (*.f64 z (sin.f64 y)) x)) |
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))) |
(-.f64 x (fma.f64 z (sin.f64 y) (neg.f64 (cos.f64 y)))) |
(-.f64 (cos.f64 y) (-.f64 (*.f64 z (sin.f64 y)) x)) |
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))) |
(-.f64 x (fma.f64 z (sin.f64 y) (neg.f64 (cos.f64 y)))) |
(-.f64 (cos.f64 y) (-.f64 (*.f64 z (sin.f64 y)) x)) |
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))) |
(-.f64 x (fma.f64 z (sin.f64 y) (neg.f64 (cos.f64 y)))) |
(-.f64 (cos.f64 y) (-.f64 (*.f64 z (sin.f64 y)) x)) |
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))) |
(-.f64 x (fma.f64 z (sin.f64 y) (neg.f64 (cos.f64 y)))) |
(-.f64 (cos.f64 y) (-.f64 (*.f64 z (sin.f64 y)) x)) |
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))) |
(-.f64 x (fma.f64 z (sin.f64 y) (neg.f64 (cos.f64 y)))) |
(-.f64 (cos.f64 y) (-.f64 (*.f64 z (sin.f64 y)) x)) |
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))) |
(-.f64 x (fma.f64 z (sin.f64 y) (neg.f64 (cos.f64 y)))) |
(-.f64 (cos.f64 y) (-.f64 (*.f64 z (sin.f64 y)) x)) |
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 x (cos.f64 y)) |
| ✓ | 0.0b | (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| ✓ | 0.2b | (*.f64 z (sin.f64 y)) |
Compiled 27 to 8 computations (70.4% saved)
21 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | z | @ | 0 | (*.f64 z (sin.f64 y)) |
| 1.0ms | y | @ | 0 | (*.f64 z (sin.f64 y)) |
| 0.0ms | z | @ | inf | (*.f64 z (sin.f64 y)) |
| 0.0ms | y | @ | inf | (*.f64 z (sin.f64 y)) |
| 0.0ms | y | @ | 0 | (+.f64 x (cos.f64 y)) |
| 1× | batch-egg-rewrite |
| 521× | log-prod_binary64 |
| 455× | fma-def_binary64 |
| 372× | pow-prod-down_binary64 |
| 286× | pow2_binary64 |
| 217× | fma-neg_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 26 |
| 1 | 202 | 26 |
| 2 | 3012 | 26 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 z (sin.f64 y)) |
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(+.f64 x (cos.f64 y)) |
| Outputs |
|---|
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(log1p.f64 (+.f64 x (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 x (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 x (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 x (cos.f64 y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 x (cos.f64 y)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 x (cos.f64 y)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 x (cos.f64 y)) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (+.f64 x (cos.f64 y))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (+.f64 x (cos.f64 y))) 3) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 1 (cos.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cos.f64 y) 1 x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (cos.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (cos.f64 y) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (cos.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (cos.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 (pow.f64 (cos.f64 y) 2)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 2)) (cbrt.f64 (cos.f64 y)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (cos.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (cos.f64 y)) x))))) |
| 1× | egg-herbie |
| 683× | associate-*l*_binary64 |
| 658× | cancel-sign-sub-inv_binary64 |
| 521× | associate-*r*_binary64 |
| 506× | unswap-sqr_binary64 |
| 391× | fma-neg_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 66 | 701 |
| 1 | 188 | 695 |
| 2 | 507 | 684 |
| 3 | 1572 | 677 |
| 4 | 4531 | 674 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 y z) |
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)) (*.f64 y z)) |
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)) (+.f64 (*.f64 y z) (*.f64 1/120 (*.f64 (pow.f64 y 5) z)))) |
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)) (+.f64 (*.f64 y z) (+.f64 (*.f64 -1/5040 (*.f64 (pow.f64 y 7) z)) (*.f64 1/120 (*.f64 (pow.f64 y 5) z))))) |
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) |
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
x |
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
x |
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(+.f64 1 x) |
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 y z)) x)) |
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 -1/2 (pow.f64 y 2)) x))) |
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 y 3) z)) x)))) |
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(+.f64 (cos.f64 y) x) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x)) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x)) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x)) |
(*.f64 -1 (*.f64 z (sin.f64 y))) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x)) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x)) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x)) |
(*.f64 -1 (*.f64 z (sin.f64 y))) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x)) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x)) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x)) |
(cos.f64 y) |
(+.f64 (cos.f64 y) x) |
(+.f64 (cos.f64 y) x) |
(+.f64 (cos.f64 y) x) |
x |
(+.f64 (cos.f64 y) x) |
(+.f64 (cos.f64 y) x) |
(+.f64 (cos.f64 y) x) |
x |
(+.f64 (cos.f64 y) x) |
(+.f64 (cos.f64 y) x) |
(+.f64 (cos.f64 y) x) |
(+.f64 1 x) |
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 y 2)) x)) |
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (+.f64 (*.f64 1/24 (pow.f64 y 4)) x))) |
(+.f64 (*.f64 -1/720 (pow.f64 y 6)) (+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (+.f64 (*.f64 1/24 (pow.f64 y 4)) x)))) |
(+.f64 (cos.f64 y) x) |
(+.f64 (cos.f64 y) x) |
(+.f64 (cos.f64 y) x) |
(+.f64 (cos.f64 y) x) |
(+.f64 (cos.f64 y) x) |
(+.f64 (cos.f64 y) x) |
(+.f64 (cos.f64 y) x) |
(+.f64 (cos.f64 y) x) |
| Outputs |
|---|
(*.f64 y z) |
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)) (*.f64 y z)) |
(fma.f64 -1/6 (*.f64 z (pow.f64 y 3)) (*.f64 y z)) |
(*.f64 z (+.f64 y (*.f64 -1/6 (pow.f64 y 3)))) |
(*.f64 z (fma.f64 -1/6 (pow.f64 y 3) y)) |
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)) (+.f64 (*.f64 y z) (*.f64 1/120 (*.f64 (pow.f64 y 5) z)))) |
(fma.f64 -1/6 (*.f64 z (pow.f64 y 3)) (fma.f64 y z (*.f64 1/120 (*.f64 z (pow.f64 y 5))))) |
(fma.f64 -1/6 (*.f64 z (pow.f64 y 3)) (*.f64 z (+.f64 y (*.f64 1/120 (pow.f64 y 5))))) |
(*.f64 z (+.f64 (*.f64 -1/6 (pow.f64 y 3)) (fma.f64 1/120 (pow.f64 y 5) y))) |
(*.f64 z (+.f64 (*.f64 1/120 (pow.f64 y 5)) (fma.f64 -1/6 (pow.f64 y 3) y))) |
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)) (+.f64 (*.f64 y z) (+.f64 (*.f64 -1/5040 (*.f64 (pow.f64 y 7) z)) (*.f64 1/120 (*.f64 (pow.f64 y 5) z))))) |
(fma.f64 -1/6 (*.f64 z (pow.f64 y 3)) (fma.f64 y z (fma.f64 -1/5040 (*.f64 z (pow.f64 y 7)) (*.f64 1/120 (*.f64 z (pow.f64 y 5)))))) |
(fma.f64 -1/6 (*.f64 z (pow.f64 y 3)) (fma.f64 y z (*.f64 z (+.f64 (*.f64 1/120 (pow.f64 y 5)) (*.f64 -1/5040 (pow.f64 y 7)))))) |
(*.f64 z (+.f64 (fma.f64 -1/6 (pow.f64 y 3) y) (fma.f64 1/120 (pow.f64 y 5) (*.f64 -1/5040 (pow.f64 y 7))))) |
(*.f64 z (+.f64 (fma.f64 -1/5040 (pow.f64 y 7) (*.f64 1/120 (pow.f64 y 5))) (fma.f64 -1/6 (pow.f64 y 3) y))) |
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) |
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))) |
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))) |
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))) |
x |
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))) |
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))) |
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))) |
x |
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))) |
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))) |
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))) |
(+.f64 1 x) |
(+.f64 x 1) |
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 y z)) x)) |
(+.f64 1 (fma.f64 -1 (*.f64 y z) x)) |
(+.f64 x (-.f64 1 (*.f64 y z))) |
(fma.f64 y (neg.f64 z) (+.f64 x 1)) |
(-.f64 x (fma.f64 y z -1)) |
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 -1/2 (pow.f64 y 2)) x))) |
(+.f64 1 (fma.f64 -1 (*.f64 y z) (fma.f64 -1/2 (*.f64 y y) x))) |
(+.f64 (fma.f64 -1/2 (*.f64 y y) x) (-.f64 1 (*.f64 y z))) |
(+.f64 1 (-.f64 (fma.f64 y (*.f64 y -1/2) x) (*.f64 y z))) |
(-.f64 (fma.f64 y (*.f64 y -1/2) x) (fma.f64 y z -1)) |
(-.f64 x (fma.f64 y (+.f64 z (*.f64 y 1/2)) -1)) |
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 y 3) z)) x)))) |
(+.f64 1 (fma.f64 -1 (*.f64 y z) (fma.f64 -1/2 (*.f64 y y) (fma.f64 1/6 (*.f64 z (pow.f64 y 3)) x)))) |
(+.f64 (fma.f64 -1/2 (*.f64 y y) (fma.f64 (*.f64 z (pow.f64 y 3)) 1/6 x)) (-.f64 1 (*.f64 y z))) |
(+.f64 1 (-.f64 (fma.f64 y (*.f64 y -1/2) (fma.f64 z (*.f64 (pow.f64 y 3) 1/6) x)) (*.f64 y z))) |
(+.f64 (fma.f64 y (*.f64 y -1/2) x) (-.f64 1 (*.f64 z (fma.f64 -1/6 (pow.f64 y 3) y)))) |
(-.f64 (fma.f64 y (*.f64 y -1/2) x) (fma.f64 z (fma.f64 -1/6 (pow.f64 y 3) y) -1)) |
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))) |
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))) |
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))) |
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))) |
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))) |
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))) |
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))) |
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))) |
(+.f64 (cos.f64 y) x) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x)) |
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x)) |
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x)) |
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))) |
(*.f64 -1 (*.f64 z (sin.f64 y))) |
(neg.f64 (*.f64 z (sin.f64 y))) |
(*.f64 (sin.f64 y) (neg.f64 z)) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x)) |
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x)) |
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x)) |
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))) |
(*.f64 -1 (*.f64 z (sin.f64 y))) |
(neg.f64 (*.f64 z (sin.f64 y))) |
(*.f64 (sin.f64 y) (neg.f64 z)) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x)) |
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x)) |
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x)) |
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))) |
(cos.f64 y) |
(+.f64 (cos.f64 y) x) |
(+.f64 (cos.f64 y) x) |
(+.f64 (cos.f64 y) x) |
x |
(+.f64 (cos.f64 y) x) |
(+.f64 (cos.f64 y) x) |
(+.f64 (cos.f64 y) x) |
x |
(+.f64 (cos.f64 y) x) |
(+.f64 (cos.f64 y) x) |
(+.f64 (cos.f64 y) x) |
(+.f64 1 x) |
(+.f64 x 1) |
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 y 2)) x)) |
(+.f64 1 (fma.f64 -1/2 (*.f64 y y) x)) |
(+.f64 x (fma.f64 -1/2 (*.f64 y y) 1)) |
(fma.f64 y (*.f64 y -1/2) (+.f64 x 1)) |
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (+.f64 (*.f64 1/24 (pow.f64 y 4)) x))) |
(+.f64 1 (fma.f64 -1/2 (*.f64 y y) (fma.f64 1/24 (pow.f64 y 4) x))) |
(+.f64 1 (fma.f64 y (*.f64 y -1/2) (fma.f64 1/24 (pow.f64 y 4) x))) |
(+.f64 (*.f64 -1/720 (pow.f64 y 6)) (+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (+.f64 (*.f64 1/24 (pow.f64 y 4)) x)))) |
(fma.f64 -1/720 (pow.f64 y 6) (+.f64 1 (fma.f64 -1/2 (*.f64 y y) (fma.f64 1/24 (pow.f64 y 4) x)))) |
(+.f64 (fma.f64 -1/2 (*.f64 y y) (fma.f64 1/24 (pow.f64 y 4) x)) (fma.f64 -1/720 (pow.f64 y 6) 1)) |
(+.f64 (fma.f64 1/24 (pow.f64 y 4) x) (fma.f64 -1/720 (pow.f64 y 6) (fma.f64 -1/2 (*.f64 y y) 1))) |
(+.f64 (fma.f64 1/24 (pow.f64 y 4) x) (fma.f64 -1/720 (pow.f64 y 6) (fma.f64 y (*.f64 y -1/2) 1))) |
(+.f64 (cos.f64 y) x) |
(+.f64 (cos.f64 y) x) |
(+.f64 (cos.f64 y) x) |
(+.f64 (cos.f64 y) x) |
(+.f64 (cos.f64 y) x) |
(+.f64 (cos.f64 y) x) |
(+.f64 (cos.f64 y) x) |
(+.f64 (cos.f64 y) x) |
Compiled 5387 to 1504 computations (72.1% saved)
19 alts after pruning (18 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 308 | 18 | 326 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 1 | 1 |
| Total | 309 | 19 | 328 |
| Status | Error | Program |
|---|---|---|
| ✓ | 0.1b | (-.f64 x (fma.f64 z (sin.f64 y) (neg.f64 (cos.f64 y)))) |
| 31.2b | (fma.f64 (-.f64 (pow.f64 (+.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (/.f64 1 (fma.f64 (*.f64 z (sin.f64 y)) (fma.f64 z (sin.f64 y) (+.f64 x (cos.f64 y))) (pow.f64 (+.f64 x (cos.f64 y)) 2))) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 z (sin.f64 y)))) | |
| ▶ | 34.3b | (-.f64 (log1p.f64 (expm1.f64 (+.f64 x (cos.f64 y)))) (*.f64 z (sin.f64 y))) |
| 36.8b | x | |
| 18.6b | (+.f64 (cos.f64 y) x) | |
| 14.3b | (-.f64 (+.f64 x (cos.f64 y)) (cbrt.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3))) | |
| ▶ | 24.5b | (pow.f64 (sqrt.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))) 2) |
| 44.4b | (*.f64 (sin.f64 y) (neg.f64 z)) | |
| 31.3b | (fma.f64 (*.f64 (neg.f64 z) (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y)) (+.f64 x (cos.f64 y))) | |
| 1.1b | (pow.f64 (cbrt.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))) 3) | |
| 30.6b | (-.f64 (+.f64 x (cos.f64 y)) (pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 2)) | |
| ▶ | 0.5b | (fma.f64 (*.f64 (neg.f64 z) (cbrt.f64 (pow.f64 (sin.f64 y) 2))) (cbrt.f64 (sin.f64 y)) (+.f64 x (cos.f64 y))) |
| 26.5b | (-.f64 (+.f64 x (cos.f64 y)) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)) (*.f64 y z))) | |
| 22.2b | (-.f64 x (-.f64 (*.f64 y z) 1)) | |
| ▶ | 23.8b | (-.f64 x -1) |
| ▶ | 18.8b | (-.f64 x (*.f64 z (sin.f64 y))) |
| 43.7b | (/.f64 1 (/.f64 (+.f64 (fma.f64 z (sin.f64 y) (cos.f64 y)) x) (-.f64 (*.f64 x x) (pow.f64 (fma.f64 z (sin.f64 y) (cos.f64 y)) 2)))) | |
| 18.6b | (-.f64 (expm1.f64 (log1p.f64 (+.f64 x (cos.f64 y)))) (*.f64 z (sin.f64 y))) | |
| 26.1b | (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) |
Compiled 548 to 353 computations (35.6% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.2b | (*.f64 (neg.f64 z) (cbrt.f64 (pow.f64 (sin.f64 y) 2))) |
| ✓ | 0.3b | (pow.f64 (sin.f64 y) 2) |
| ✓ | 0.7b | (cbrt.f64 (sin.f64 y)) |
| ✓ | 13.7b | (cbrt.f64 (pow.f64 (sin.f64 y) 2)) |
Compiled 53 to 23 computations (56.6% saved)
15 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | z | @ | 0 | (*.f64 (neg.f64 z) (cbrt.f64 (pow.f64 (sin.f64 y) 2))) |
| 2.0ms | y | @ | 0 | (pow.f64 (sin.f64 y) 2) |
| 2.0ms | y | @ | inf | (cbrt.f64 (pow.f64 (sin.f64 y) 2)) |
| 2.0ms | y | @ | -inf | (*.f64 (neg.f64 z) (cbrt.f64 (pow.f64 (sin.f64 y) 2))) |
| 2.0ms | y | @ | inf | (*.f64 (neg.f64 z) (cbrt.f64 (pow.f64 (sin.f64 y) 2))) |
| 1× | batch-egg-rewrite |
| 746× | pow1_binary64 |
| 688× | add-log-exp_binary64 |
| 687× | log1p-expm1-u_binary64 |
| 687× | expm1-log1p-u_binary64 |
| 670× | add-exp-log_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 32 |
| 1 | 201 | 30 |
| 2 | 2320 | 30 |
| 1× | node limit |
| Inputs |
|---|
(cbrt.f64 (pow.f64 (sin.f64 y) 2)) |
(cbrt.f64 (sin.f64 y)) |
(pow.f64 (sin.f64 y) 2) |
(*.f64 (neg.f64 z) (cbrt.f64 (pow.f64 (sin.f64 y) 2))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (pow.f64 (cbrt.f64 (sin.f64 y)) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (cbrt.f64 (sin.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 y))) 2) (cbrt.f64 (cbrt.f64 (pow.f64 (sin.f64 y) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 y))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (sin.f64 y))) (cbrt.f64 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (sin.f64 y) 4))) (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sin.f64 y)) (pow.f64 (sin.f64 y) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sin.f64 y) 1/6) (*.f64 (pow.f64 (sin.f64 y) 1/6) (cbrt.f64 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (pow.f64 (cbrt.f64 (sin.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (sin.f64 y) 4)) 1/3) (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (sin.f64 y)) (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 y))) 2)) (cbrt.f64 (cbrt.f64 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sin.f64 y) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sin.f64 y) 2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sin.f64 y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 y))) 2) 3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (cbrt.f64 (pow.f64 (sin.f64 y) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (cbrt.f64 (sin.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sin.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 y))) 2) (cbrt.f64 (cbrt.f64 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (sin.f64 y))) (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sin.f64 y) 1/6) (pow.f64 (sin.f64 y) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (sin.f64 y) 4)))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 y))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (sin.f64 y)) 1/3) (pow.f64 (sqrt.f64 (sin.f64 y)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sin.f64 y) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sin.f64 y) 2) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sin.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sin.f64 y) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (cbrt.f64 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (sin.f64 y)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (pow.f64 (sin.f64 y) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 y) (sin.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sin.f64 y) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (cbrt.f64 (pow.f64 (sin.f64 y) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (sin.f64 y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (sin.f64 y) 4)) (pow.f64 (cbrt.f64 (sin.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sin.f64 y)) (*.f64 (sqrt.f64 (sin.f64 y)) (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 y) (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 y) (pow.f64 (cbrt.f64 (sin.f64 y)) 2)) (cbrt.f64 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (pow.f64 (sin.f64 y) 4)) 1) (pow.f64 (cbrt.f64 (sin.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (pow.f64 (sin.f64 y) 4)) (cbrt.f64 (cbrt.f64 (pow.f64 (sin.f64 y) 4)))) (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (pow.f64 (sin.f64 y) 4)) (cbrt.f64 (sin.f64 y))) (cbrt.f64 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (cos.f64 (-.f64 y y)) (cos.f64 (+.f64 y y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (sin.f64 y) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (sin.f64 y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (sin.f64 y) 2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (sin.f64 y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (sin.f64 y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2 (log.f64 (sin.f64 y)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) z))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) z) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) z)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (cbrt.f64 (sin.f64 y)) (sqrt.f64 z)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) z))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) z) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 z) (pow.f64 (cbrt.f64 (sin.f64 y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) z) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 z 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) z)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) z))))))) |
| 1× | egg-herbie |
| 715× | distribute-rgt-out_binary64 |
| 449× | unswap-sqr_binary64 |
| 393× | sqr-pow_binary64 |
| 387× | associate-*l*_binary64 |
| 381× | *-commutative_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 34 | 424 |
| 1 | 84 | 422 |
| 2 | 185 | 422 |
| 3 | 499 | 422 |
| 4 | 2163 | 422 |
| 5 | 4748 | 422 |
| 6 | 5252 | 422 |
| 7 | 5901 | 422 |
| 8 | 6948 | 422 |
| 1× | node limit |
| Inputs |
|---|
(pow.f64 (pow.f64 (sin.f64 y) 2) 1/3) |
(pow.f64 (pow.f64 (sin.f64 y) 2) 1/3) |
(pow.f64 (pow.f64 (sin.f64 y) 2) 1/3) |
(pow.f64 (pow.f64 (sin.f64 y) 2) 1/3) |
(pow.f64 (pow.f64 (sin.f64 y) 2) 1/3) |
(pow.f64 (pow.f64 (sin.f64 y) 2) 1/3) |
(pow.f64 (pow.f64 (sin.f64 y) 2) 1/3) |
(pow.f64 (pow.f64 (sin.f64 y) 2) 1/3) |
(pow.f64 (sin.f64 y) 1/3) |
(pow.f64 (sin.f64 y) 1/3) |
(pow.f64 (sin.f64 y) 1/3) |
(pow.f64 (sin.f64 y) 1/3) |
(pow.f64 (sin.f64 y) 1/3) |
(pow.f64 (sin.f64 y) 1/3) |
(pow.f64 (sin.f64 y) 1/3) |
(pow.f64 (sin.f64 y) 1/3) |
(pow.f64 y 2) |
(+.f64 (*.f64 -1/3 (pow.f64 y 4)) (pow.f64 y 2)) |
(+.f64 (*.f64 -1/3 (pow.f64 y 4)) (+.f64 (*.f64 2/45 (pow.f64 y 6)) (pow.f64 y 2))) |
(+.f64 (*.f64 -1/3 (pow.f64 y 4)) (+.f64 (*.f64 2/45 (pow.f64 y 6)) (+.f64 (pow.f64 y 2) (*.f64 -1/315 (pow.f64 y 8))))) |
(*.f64 -1 (*.f64 (pow.f64 (*.f64 1 (pow.f64 (sin.f64 y) 2)) 1/3) z)) |
(*.f64 -1 (*.f64 (pow.f64 (*.f64 1 (pow.f64 (sin.f64 y) 2)) 1/3) z)) |
(*.f64 -1 (*.f64 (pow.f64 (*.f64 1 (pow.f64 (sin.f64 y) 2)) 1/3) z)) |
(*.f64 -1 (*.f64 (pow.f64 (*.f64 1 (pow.f64 (sin.f64 y) 2)) 1/3) z)) |
(*.f64 -1 (*.f64 (pow.f64 (*.f64 1 (pow.f64 (sin.f64 y) 2)) 1/3) z)) |
(*.f64 -1 (*.f64 (pow.f64 (*.f64 1 (pow.f64 (sin.f64 y) 2)) 1/3) z)) |
(*.f64 -1 (*.f64 (pow.f64 (*.f64 1 (pow.f64 (sin.f64 y) 2)) 1/3) z)) |
(*.f64 -1 (*.f64 (pow.f64 (*.f64 1 (pow.f64 (sin.f64 y) 2)) 1/3) z)) |
(*.f64 -1 (*.f64 (pow.f64 (*.f64 1 (pow.f64 (sin.f64 y) 2)) 1/3) z)) |
(*.f64 -1 (*.f64 (pow.f64 (*.f64 1 (pow.f64 (sin.f64 y) 2)) 1/3) z)) |
(*.f64 -1 (*.f64 (pow.f64 (*.f64 1 (pow.f64 (sin.f64 y) 2)) 1/3) z)) |
(*.f64 -1 (*.f64 (pow.f64 (*.f64 1 (pow.f64 (sin.f64 y) 2)) 1/3) z)) |
(*.f64 -1 (*.f64 (pow.f64 (*.f64 1 (pow.f64 (sin.f64 y) 2)) 1/3) z)) |
(*.f64 -1 (*.f64 (pow.f64 (*.f64 1 (pow.f64 (sin.f64 y) 2)) 1/3) z)) |
(*.f64 -1 (*.f64 (pow.f64 (*.f64 1 (pow.f64 (sin.f64 y) 2)) 1/3) z)) |
(*.f64 -1 (*.f64 (pow.f64 (*.f64 1 (pow.f64 (sin.f64 y) 2)) 1/3) z)) |
(*.f64 -1 (*.f64 (pow.f64 (*.f64 1 (pow.f64 (sin.f64 y) 2)) 1/3) z)) |
(*.f64 -1 (*.f64 (pow.f64 (*.f64 1 (pow.f64 (sin.f64 y) 2)) 1/3) z)) |
(*.f64 -1 (*.f64 (pow.f64 (*.f64 1 (pow.f64 (sin.f64 y) 2)) 1/3) z)) |
(*.f64 -1 (*.f64 (pow.f64 (*.f64 1 (pow.f64 (sin.f64 y) 2)) 1/3) z)) |
| Outputs |
|---|
(pow.f64 (pow.f64 (sin.f64 y) 2) 1/3) |
(cbrt.f64 (pow.f64 (sin.f64 y) 2)) |
(pow.f64 (pow.f64 (sin.f64 y) 2) 1/3) |
(cbrt.f64 (pow.f64 (sin.f64 y) 2)) |
(pow.f64 (pow.f64 (sin.f64 y) 2) 1/3) |
(cbrt.f64 (pow.f64 (sin.f64 y) 2)) |
(pow.f64 (pow.f64 (sin.f64 y) 2) 1/3) |
(cbrt.f64 (pow.f64 (sin.f64 y) 2)) |
(pow.f64 (pow.f64 (sin.f64 y) 2) 1/3) |
(cbrt.f64 (pow.f64 (sin.f64 y) 2)) |
(pow.f64 (pow.f64 (sin.f64 y) 2) 1/3) |
(cbrt.f64 (pow.f64 (sin.f64 y) 2)) |
(pow.f64 (pow.f64 (sin.f64 y) 2) 1/3) |
(cbrt.f64 (pow.f64 (sin.f64 y) 2)) |
(pow.f64 (pow.f64 (sin.f64 y) 2) 1/3) |
(cbrt.f64 (pow.f64 (sin.f64 y) 2)) |
(pow.f64 (sin.f64 y) 1/3) |
(cbrt.f64 (sin.f64 y)) |
(pow.f64 (sin.f64 y) 1/3) |
(cbrt.f64 (sin.f64 y)) |
(pow.f64 (sin.f64 y) 1/3) |
(cbrt.f64 (sin.f64 y)) |
(pow.f64 (sin.f64 y) 1/3) |
(cbrt.f64 (sin.f64 y)) |
(pow.f64 (sin.f64 y) 1/3) |
(cbrt.f64 (sin.f64 y)) |
(pow.f64 (sin.f64 y) 1/3) |
(cbrt.f64 (sin.f64 y)) |
(pow.f64 (sin.f64 y) 1/3) |
(cbrt.f64 (sin.f64 y)) |
(pow.f64 (sin.f64 y) 1/3) |
(cbrt.f64 (sin.f64 y)) |
(pow.f64 y 2) |
(*.f64 y y) |
(+.f64 (*.f64 -1/3 (pow.f64 y 4)) (pow.f64 y 2)) |
(fma.f64 -1/3 (pow.f64 y 4) (*.f64 y y)) |
(fma.f64 y y (*.f64 -1/3 (pow.f64 y 4))) |
(+.f64 (*.f64 -1/3 (pow.f64 y 4)) (+.f64 (*.f64 2/45 (pow.f64 y 6)) (pow.f64 y 2))) |
(fma.f64 -1/3 (pow.f64 y 4) (fma.f64 2/45 (pow.f64 y 6) (*.f64 y y))) |
(fma.f64 -1/3 (pow.f64 y 4) (fma.f64 y y (*.f64 2/45 (pow.f64 y 6)))) |
(fma.f64 y y (fma.f64 -1/3 (pow.f64 y 4) (*.f64 2/45 (pow.f64 y 6)))) |
(+.f64 (*.f64 -1/3 (pow.f64 y 4)) (+.f64 (*.f64 2/45 (pow.f64 y 6)) (+.f64 (pow.f64 y 2) (*.f64 -1/315 (pow.f64 y 8))))) |
(fma.f64 -1/3 (pow.f64 y 4) (+.f64 (fma.f64 2/45 (pow.f64 y 6) (*.f64 y y)) (*.f64 -1/315 (pow.f64 y 8)))) |
(fma.f64 -1/3 (pow.f64 y 4) (fma.f64 2/45 (pow.f64 y 6) (fma.f64 y y (*.f64 -1/315 (pow.f64 y 8))))) |
(fma.f64 -1/3 (pow.f64 y 4) (fma.f64 2/45 (pow.f64 y 6) (fma.f64 -1/315 (pow.f64 y 8) (*.f64 y y)))) |
(fma.f64 (pow.f64 y 4) (fma.f64 (pow.f64 y 4) -1/315 -1/3) (fma.f64 2/45 (pow.f64 y 6) (*.f64 y y))) |
(fma.f64 y y (fma.f64 -1/3 (pow.f64 y 4) (fma.f64 2/45 (pow.f64 y 6) (*.f64 -1/315 (pow.f64 y 8))))) |
(*.f64 -1 (*.f64 (pow.f64 (*.f64 1 (pow.f64 (sin.f64 y) 2)) 1/3) z)) |
(neg.f64 (*.f64 (cbrt.f64 (pow.f64 (sin.f64 y) 2)) z)) |
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 y) 2)) (neg.f64 z)) |
(*.f64 -1 (*.f64 (pow.f64 (*.f64 1 (pow.f64 (sin.f64 y) 2)) 1/3) z)) |
(neg.f64 (*.f64 (cbrt.f64 (pow.f64 (sin.f64 y) 2)) z)) |
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 y) 2)) (neg.f64 z)) |
(*.f64 -1 (*.f64 (pow.f64 (*.f64 1 (pow.f64 (sin.f64 y) 2)) 1/3) z)) |
(neg.f64 (*.f64 (cbrt.f64 (pow.f64 (sin.f64 y) 2)) z)) |
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 y) 2)) (neg.f64 z)) |
(*.f64 -1 (*.f64 (pow.f64 (*.f64 1 (pow.f64 (sin.f64 y) 2)) 1/3) z)) |
(neg.f64 (*.f64 (cbrt.f64 (pow.f64 (sin.f64 y) 2)) z)) |
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 y) 2)) (neg.f64 z)) |
(*.f64 -1 (*.f64 (pow.f64 (*.f64 1 (pow.f64 (sin.f64 y) 2)) 1/3) z)) |
(neg.f64 (*.f64 (cbrt.f64 (pow.f64 (sin.f64 y) 2)) z)) |
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 y) 2)) (neg.f64 z)) |
(*.f64 -1 (*.f64 (pow.f64 (*.f64 1 (pow.f64 (sin.f64 y) 2)) 1/3) z)) |
(neg.f64 (*.f64 (cbrt.f64 (pow.f64 (sin.f64 y) 2)) z)) |
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 y) 2)) (neg.f64 z)) |
(*.f64 -1 (*.f64 (pow.f64 (*.f64 1 (pow.f64 (sin.f64 y) 2)) 1/3) z)) |
(neg.f64 (*.f64 (cbrt.f64 (pow.f64 (sin.f64 y) 2)) z)) |
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 y) 2)) (neg.f64 z)) |
(*.f64 -1 (*.f64 (pow.f64 (*.f64 1 (pow.f64 (sin.f64 y) 2)) 1/3) z)) |
(neg.f64 (*.f64 (cbrt.f64 (pow.f64 (sin.f64 y) 2)) z)) |
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 y) 2)) (neg.f64 z)) |
(*.f64 -1 (*.f64 (pow.f64 (*.f64 1 (pow.f64 (sin.f64 y) 2)) 1/3) z)) |
(neg.f64 (*.f64 (cbrt.f64 (pow.f64 (sin.f64 y) 2)) z)) |
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 y) 2)) (neg.f64 z)) |
(*.f64 -1 (*.f64 (pow.f64 (*.f64 1 (pow.f64 (sin.f64 y) 2)) 1/3) z)) |
(neg.f64 (*.f64 (cbrt.f64 (pow.f64 (sin.f64 y) 2)) z)) |
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 y) 2)) (neg.f64 z)) |
(*.f64 -1 (*.f64 (pow.f64 (*.f64 1 (pow.f64 (sin.f64 y) 2)) 1/3) z)) |
(neg.f64 (*.f64 (cbrt.f64 (pow.f64 (sin.f64 y) 2)) z)) |
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 y) 2)) (neg.f64 z)) |
(*.f64 -1 (*.f64 (pow.f64 (*.f64 1 (pow.f64 (sin.f64 y) 2)) 1/3) z)) |
(neg.f64 (*.f64 (cbrt.f64 (pow.f64 (sin.f64 y) 2)) z)) |
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 y) 2)) (neg.f64 z)) |
(*.f64 -1 (*.f64 (pow.f64 (*.f64 1 (pow.f64 (sin.f64 y) 2)) 1/3) z)) |
(neg.f64 (*.f64 (cbrt.f64 (pow.f64 (sin.f64 y) 2)) z)) |
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 y) 2)) (neg.f64 z)) |
(*.f64 -1 (*.f64 (pow.f64 (*.f64 1 (pow.f64 (sin.f64 y) 2)) 1/3) z)) |
(neg.f64 (*.f64 (cbrt.f64 (pow.f64 (sin.f64 y) 2)) z)) |
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 y) 2)) (neg.f64 z)) |
(*.f64 -1 (*.f64 (pow.f64 (*.f64 1 (pow.f64 (sin.f64 y) 2)) 1/3) z)) |
(neg.f64 (*.f64 (cbrt.f64 (pow.f64 (sin.f64 y) 2)) z)) |
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 y) 2)) (neg.f64 z)) |
(*.f64 -1 (*.f64 (pow.f64 (*.f64 1 (pow.f64 (sin.f64 y) 2)) 1/3) z)) |
(neg.f64 (*.f64 (cbrt.f64 (pow.f64 (sin.f64 y) 2)) z)) |
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 y) 2)) (neg.f64 z)) |
(*.f64 -1 (*.f64 (pow.f64 (*.f64 1 (pow.f64 (sin.f64 y) 2)) 1/3) z)) |
(neg.f64 (*.f64 (cbrt.f64 (pow.f64 (sin.f64 y) 2)) z)) |
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 y) 2)) (neg.f64 z)) |
(*.f64 -1 (*.f64 (pow.f64 (*.f64 1 (pow.f64 (sin.f64 y) 2)) 1/3) z)) |
(neg.f64 (*.f64 (cbrt.f64 (pow.f64 (sin.f64 y) 2)) z)) |
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 y) 2)) (neg.f64 z)) |
(*.f64 -1 (*.f64 (pow.f64 (*.f64 1 (pow.f64 (sin.f64 y) 2)) 1/3) z)) |
(neg.f64 (*.f64 (cbrt.f64 (pow.f64 (sin.f64 y) 2)) z)) |
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 y) 2)) (neg.f64 z)) |
(*.f64 -1 (*.f64 (pow.f64 (*.f64 1 (pow.f64 (sin.f64 y) 2)) 1/3) z)) |
(neg.f64 (*.f64 (cbrt.f64 (pow.f64 (sin.f64 y) 2)) z)) |
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 y) 2)) (neg.f64 z)) |
Compiled 8 to 6 computations (25% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (-.f64 x (*.f64 z (sin.f64 y))) |
| 0.2b | (*.f64 z (sin.f64 y)) |
Compiled 18 to 6 computations (66.7% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | inf | (-.f64 x (*.f64 z (sin.f64 y))) |
| 0.0ms | x | @ | 0 | (-.f64 x (*.f64 z (sin.f64 y))) |
| 0.0ms | y | @ | 0 | (-.f64 x (*.f64 z (sin.f64 y))) |
| 0.0ms | z | @ | inf | (-.f64 x (*.f64 z (sin.f64 y))) |
| 0.0ms | x | @ | inf | (-.f64 x (*.f64 z (sin.f64 y))) |
| 1× | batch-egg-rewrite |
| 833× | pow1_binary64 |
| 770× | add-log-exp_binary64 |
| 770× | log1p-expm1-u_binary64 |
| 770× | expm1-log1p-u_binary64 |
| 753× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 9 |
| 1 | 151 | 9 |
| 2 | 2084 | 9 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 x (*.f64 z (sin.f64 y))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 (sin.f64 y) (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 (*.f64 (sin.f64 y) (neg.f64 z)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (*.f64 z (sin.f64 y))) (fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (*.f64 z (sin.f64 y))) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (*.f64 z (sin.f64 y))) (fma.f64 (*.f64 (sin.f64 y) (neg.f64 z)) 1 (*.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (*.f64 z (sin.f64 y))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))) (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2) (*.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (*.f64 z (sin.f64 y))) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 z (sin.f64 y)))) (sqrt.f64 (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 y) (neg.f64 z)) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 x (*.f64 z (sin.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 x (*.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 x (*.f64 z (sin.f64 y)))) (pow.f64 (cbrt.f64 (-.f64 x (*.f64 z (sin.f64 y)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 x (*.f64 z (sin.f64 y)))) 2) (cbrt.f64 (-.f64 x (*.f64 z (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 x (*.f64 z (sin.f64 y)))) (sqrt.f64 (-.f64 x (*.f64 z (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (/.f64 1 (fma.f64 x x (*.f64 (*.f64 z (sin.f64 y)) (+.f64 x (*.f64 z (sin.f64 y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 z (sin.f64 y)) 2)) (/.f64 1 (+.f64 x (*.f64 z (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 z (sin.f64 y)))) (-.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 z (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x x (*.f64 (*.f64 z (sin.f64 y)) (+.f64 x (*.f64 z (sin.f64 y))))) (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 z (sin.f64 y)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 x (*.f64 z (sin.f64 y))) (-.f64 (*.f64 x x) (pow.f64 (*.f64 z (sin.f64 y)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (fma.f64 x x (*.f64 (*.f64 z (sin.f64 y)) (+.f64 x (*.f64 z (sin.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 z (sin.f64 y)) 2)) (+.f64 x (*.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 z (sin.f64 y)) 3))) (neg.f64 (fma.f64 x x (*.f64 (*.f64 z (sin.f64 y)) (+.f64 x (*.f64 z (sin.f64 y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 z (sin.f64 y)) 2))) (neg.f64 (+.f64 x (*.f64 z (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 (sin.f64 y) (neg.f64 z)) 3)) (+.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 (sin.f64 y) (neg.f64 z)) (*.f64 (sin.f64 y) (neg.f64 z))) (*.f64 x (*.f64 (sin.f64 y) (neg.f64 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (sin.f64 y) (neg.f64 z)) (*.f64 (sin.f64 y) (neg.f64 z)))) (-.f64 x (*.f64 (sin.f64 y) (neg.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 x (*.f64 z (sin.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 x (*.f64 z (sin.f64 y))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 x (*.f64 z (sin.f64 y)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 x (*.f64 z (sin.f64 y)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 x (*.f64 z (sin.f64 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 x (*.f64 z (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 x (*.f64 z (sin.f64 y))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 x (*.f64 z (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 x (*.f64 z (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 x (*.f64 z (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (*.f64 (sin.f64 y) (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 (sin.f64 y) (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (sin.f64 y) (neg.f64 z))))))) |
| 1× | egg-herbie |
| 825× | distribute-rgt-neg-in_binary64 |
| 809× | fma-def_binary64 |
| 703× | distribute-lft-neg-in_binary64 |
| 596× | unswap-sqr_binary64 |
| 549× | associate-*l*_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 26 | 262 |
| 1 | 74 | 241 |
| 2 | 196 | 236 |
| 3 | 502 | 233 |
| 4 | 1500 | 232 |
| 5 | 4261 | 232 |
| 6 | 6535 | 232 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -1 (*.f64 z (sin.f64 y))) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x) |
x |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x) |
x |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x) |
x |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x) |
(*.f64 -1 (*.f64 z (sin.f64 y))) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x) |
(*.f64 -1 (*.f64 z (sin.f64 y))) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x) |
x |
(+.f64 (*.f64 -1 (*.f64 y z)) x) |
(+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 y 3) z)) x)) |
(+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 -1/120 (*.f64 (pow.f64 y 5) z)) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 y 3) z)) x))) |
| Outputs |
|---|
(*.f64 -1 (*.f64 z (sin.f64 y))) |
(neg.f64 (*.f64 z (sin.f64 y))) |
(*.f64 z (neg.f64 (sin.f64 y))) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x) |
(fma.f64 -1 (*.f64 z (sin.f64 y)) x) |
(-.f64 x (*.f64 z (sin.f64 y))) |
(fma.f64 z (neg.f64 (sin.f64 y)) x) |
(fma.f64 (sin.f64 y) (neg.f64 z) x) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x) |
(fma.f64 -1 (*.f64 z (sin.f64 y)) x) |
(-.f64 x (*.f64 z (sin.f64 y))) |
(fma.f64 z (neg.f64 (sin.f64 y)) x) |
(fma.f64 (sin.f64 y) (neg.f64 z) x) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x) |
(fma.f64 -1 (*.f64 z (sin.f64 y)) x) |
(-.f64 x (*.f64 z (sin.f64 y))) |
(fma.f64 z (neg.f64 (sin.f64 y)) x) |
(fma.f64 (sin.f64 y) (neg.f64 z) x) |
x |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x) |
(fma.f64 -1 (*.f64 z (sin.f64 y)) x) |
(-.f64 x (*.f64 z (sin.f64 y))) |
(fma.f64 z (neg.f64 (sin.f64 y)) x) |
(fma.f64 (sin.f64 y) (neg.f64 z) x) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x) |
(fma.f64 -1 (*.f64 z (sin.f64 y)) x) |
(-.f64 x (*.f64 z (sin.f64 y))) |
(fma.f64 z (neg.f64 (sin.f64 y)) x) |
(fma.f64 (sin.f64 y) (neg.f64 z) x) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x) |
(fma.f64 -1 (*.f64 z (sin.f64 y)) x) |
(-.f64 x (*.f64 z (sin.f64 y))) |
(fma.f64 z (neg.f64 (sin.f64 y)) x) |
(fma.f64 (sin.f64 y) (neg.f64 z) x) |
x |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x) |
(fma.f64 -1 (*.f64 z (sin.f64 y)) x) |
(-.f64 x (*.f64 z (sin.f64 y))) |
(fma.f64 z (neg.f64 (sin.f64 y)) x) |
(fma.f64 (sin.f64 y) (neg.f64 z) x) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x) |
(fma.f64 -1 (*.f64 z (sin.f64 y)) x) |
(-.f64 x (*.f64 z (sin.f64 y))) |
(fma.f64 z (neg.f64 (sin.f64 y)) x) |
(fma.f64 (sin.f64 y) (neg.f64 z) x) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x) |
(fma.f64 -1 (*.f64 z (sin.f64 y)) x) |
(-.f64 x (*.f64 z (sin.f64 y))) |
(fma.f64 z (neg.f64 (sin.f64 y)) x) |
(fma.f64 (sin.f64 y) (neg.f64 z) x) |
x |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x) |
(fma.f64 -1 (*.f64 z (sin.f64 y)) x) |
(-.f64 x (*.f64 z (sin.f64 y))) |
(fma.f64 z (neg.f64 (sin.f64 y)) x) |
(fma.f64 (sin.f64 y) (neg.f64 z) x) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x) |
(fma.f64 -1 (*.f64 z (sin.f64 y)) x) |
(-.f64 x (*.f64 z (sin.f64 y))) |
(fma.f64 z (neg.f64 (sin.f64 y)) x) |
(fma.f64 (sin.f64 y) (neg.f64 z) x) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x) |
(fma.f64 -1 (*.f64 z (sin.f64 y)) x) |
(-.f64 x (*.f64 z (sin.f64 y))) |
(fma.f64 z (neg.f64 (sin.f64 y)) x) |
(fma.f64 (sin.f64 y) (neg.f64 z) x) |
(*.f64 -1 (*.f64 z (sin.f64 y))) |
(neg.f64 (*.f64 z (sin.f64 y))) |
(*.f64 z (neg.f64 (sin.f64 y))) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x) |
(fma.f64 -1 (*.f64 z (sin.f64 y)) x) |
(-.f64 x (*.f64 z (sin.f64 y))) |
(fma.f64 z (neg.f64 (sin.f64 y)) x) |
(fma.f64 (sin.f64 y) (neg.f64 z) x) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x) |
(fma.f64 -1 (*.f64 z (sin.f64 y)) x) |
(-.f64 x (*.f64 z (sin.f64 y))) |
(fma.f64 z (neg.f64 (sin.f64 y)) x) |
(fma.f64 (sin.f64 y) (neg.f64 z) x) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x) |
(fma.f64 -1 (*.f64 z (sin.f64 y)) x) |
(-.f64 x (*.f64 z (sin.f64 y))) |
(fma.f64 z (neg.f64 (sin.f64 y)) x) |
(fma.f64 (sin.f64 y) (neg.f64 z) x) |
(*.f64 -1 (*.f64 z (sin.f64 y))) |
(neg.f64 (*.f64 z (sin.f64 y))) |
(*.f64 z (neg.f64 (sin.f64 y))) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x) |
(fma.f64 -1 (*.f64 z (sin.f64 y)) x) |
(-.f64 x (*.f64 z (sin.f64 y))) |
(fma.f64 z (neg.f64 (sin.f64 y)) x) |
(fma.f64 (sin.f64 y) (neg.f64 z) x) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x) |
(fma.f64 -1 (*.f64 z (sin.f64 y)) x) |
(-.f64 x (*.f64 z (sin.f64 y))) |
(fma.f64 z (neg.f64 (sin.f64 y)) x) |
(fma.f64 (sin.f64 y) (neg.f64 z) x) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x) |
(fma.f64 -1 (*.f64 z (sin.f64 y)) x) |
(-.f64 x (*.f64 z (sin.f64 y))) |
(fma.f64 z (neg.f64 (sin.f64 y)) x) |
(fma.f64 (sin.f64 y) (neg.f64 z) x) |
x |
(+.f64 (*.f64 -1 (*.f64 y z)) x) |
(fma.f64 -1 (*.f64 z y) x) |
(-.f64 x (*.f64 z y)) |
(fma.f64 z (neg.f64 y) x) |
(+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 y 3) z)) x)) |
(fma.f64 -1 (*.f64 z y) (fma.f64 1/6 (*.f64 z (pow.f64 y 3)) x)) |
(-.f64 (fma.f64 1/6 (*.f64 z (pow.f64 y 3)) x) (*.f64 z y)) |
(fma.f64 z (fma.f64 -1 y (*.f64 1/6 (pow.f64 y 3))) x) |
(fma.f64 z (-.f64 (*.f64 1/6 (pow.f64 y 3)) y) x) |
(fma.f64 z (fma.f64 1/6 (pow.f64 y 3) (neg.f64 y)) x) |
(+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 -1/120 (*.f64 (pow.f64 y 5) z)) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 y 3) z)) x))) |
(fma.f64 -1 (*.f64 z y) (fma.f64 -1/120 (*.f64 z (pow.f64 y 5)) (fma.f64 1/6 (*.f64 z (pow.f64 y 3)) x))) |
(-.f64 (fma.f64 -1/120 (*.f64 z (pow.f64 y 5)) (fma.f64 1/6 (*.f64 z (pow.f64 y 3)) x)) (*.f64 z y)) |
(fma.f64 z (fma.f64 -1/120 (pow.f64 y 5) (*.f64 1/6 (pow.f64 y 3))) (-.f64 x (*.f64 z y))) |
(fma.f64 z (fma.f64 -1 y (fma.f64 1/6 (pow.f64 y 3) (*.f64 -1/120 (pow.f64 y 5)))) x) |
(fma.f64 z (fma.f64 -1/120 (pow.f64 y 5) (fma.f64 1/6 (pow.f64 y 3) (neg.f64 y))) x) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (-.f64 (log1p.f64 (expm1.f64 (+.f64 x (cos.f64 y)))) (*.f64 z (sin.f64 y))) |
| ✓ | 0.1b | (log1p.f64 (expm1.f64 (+.f64 x (cos.f64 y)))) |
| 0.2b | (*.f64 z (sin.f64 y)) | |
| ✓ | 0.3b | (expm1.f64 (+.f64 x (cos.f64 y))) |
Compiled 40 to 10 computations (75% saved)
21 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (expm1.f64 (+.f64 x (cos.f64 y))) |
| 1.0ms | y | @ | 0 | (expm1.f64 (+.f64 x (cos.f64 y))) |
| 0.0ms | x | @ | inf | (log1p.f64 (expm1.f64 (+.f64 x (cos.f64 y)))) |
| 0.0ms | y | @ | inf | (expm1.f64 (+.f64 x (cos.f64 y))) |
| 0.0ms | x | @ | inf | (expm1.f64 (+.f64 x (cos.f64 y))) |
| 1× | batch-egg-rewrite |
| 555× | log-prod_binary64 |
| 408× | fma-def_binary64 |
| 369× | pow-prod-down_binary64 |
| 303× | pow2_binary64 |
| 212× | pow-to-exp_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 28 |
| 1 | 222 | 28 |
| 2 | 3129 | 28 |
| 1× | node limit |
| Inputs |
|---|
(expm1.f64 (+.f64 x (cos.f64 y))) |
(log1p.f64 (expm1.f64 (+.f64 x (cos.f64 y)))) |
(-.f64 (log1p.f64 (expm1.f64 (+.f64 x (cos.f64 y)))) (*.f64 z (sin.f64 y))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (+.f64 x (cos.f64 y))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (expm1.f64 (+.f64 x (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (expm1.f64 (+.f64 x (cos.f64 y))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (expm1.f64 (+.f64 x (cos.f64 y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (expm1.f64 (+.f64 x (cos.f64 y)))))) (log.f64 (sqrt.f64 (exp.f64 (expm1.f64 (+.f64 x (cos.f64 y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (+.f64 x (cos.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (expm1.f64 (+.f64 x (cos.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (expm1.f64 (+.f64 x (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (expm1.f64 (+.f64 x (cos.f64 y)))) (cbrt.f64 (pow.f64 (expm1.f64 (+.f64 x (cos.f64 y))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (expm1.f64 (+.f64 x (cos.f64 y))) 2)) (cbrt.f64 (expm1.f64 (+.f64 x (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (expm1.f64 (+.f64 x (cos.f64 y)))) (sqrt.f64 (expm1.f64 (+.f64 x (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (exp.f64 (+.f64 x (cos.f64 y))) 3) 1) (+.f64 (pow.f64 (exp.f64 (+.f64 x (cos.f64 y))) 2) (+.f64 1 (*.f64 (exp.f64 (+.f64 x (cos.f64 y))) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (exp.f64 (+.f64 x (cos.f64 y))) 2) 1) (+.f64 (exp.f64 (+.f64 x (cos.f64 y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (expm1.f64 (+.f64 x (cos.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (expm1.f64 (+.f64 x (cos.f64 y))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (expm1.f64 (+.f64 x (cos.f64 y))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (expm1.f64 (+.f64 x (cos.f64 y)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (expm1.f64 (+.f64 x (cos.f64 y)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (expm1.f64 (+.f64 x (cos.f64 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (expm1.f64 (+.f64 x (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (expm1.f64 (+.f64 x (cos.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (expm1.f64 (+.f64 x (cos.f64 y))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (expm1.f64 (+.f64 x (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (expm1.f64 (+.f64 x (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (expm1.f64 (+.f64 x (cos.f64 y)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (expm1.f64 (+.f64 x (cos.f64 y))))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (expm1.f64 (+.f64 x (cos.f64 y))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (expm1.f64 (+.f64 x (cos.f64 y))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (exp.f64 (+.f64 x (cos.f64 y))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (exp.f64 x) (exp.f64 (cos.f64 y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (exp.f64 (cos.f64 y)) (exp.f64 x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 x (cos.f64 y)))) 2) (cbrt.f64 (exp.f64 (+.f64 x (cos.f64 y)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (exp.f64 (+.f64 x (cos.f64 y)))) (sqrt.f64 (exp.f64 (+.f64 x (cos.f64 y)))) -1))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (cos.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 y) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (+.f64 x (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 x (cos.f64 y)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (+.f64 x (cos.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (+.f64 x (cos.f64 y))))) (log.f64 (sqrt.f64 (exp.f64 (+.f64 x (cos.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log1p.f64 (pow.f64 (expm1.f64 (+.f64 x (cos.f64 y))) 3)) (log.f64 (+.f64 1 (-.f64 (pow.f64 (expm1.f64 (+.f64 x (cos.f64 y))) 2) (expm1.f64 (+.f64 x (cos.f64 y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 x (cos.f64 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 x x) (-.f64 x (cos.f64 y))) (/.f64 (pow.f64 (cos.f64 y) 2) (-.f64 x (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (-.f64 1 (pow.f64 (expm1.f64 (+.f64 x (cos.f64 y))) 2))) (log.f64 (-.f64 1 (expm1.f64 (+.f64 x (cos.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x (cos.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 x (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 x (cos.f64 y))) (pow.f64 (cbrt.f64 (+.f64 x (cos.f64 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 x (cos.f64 y))) 2) (cbrt.f64 (+.f64 x (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 x (cos.f64 y))) (sqrt.f64 (+.f64 x (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 x 3) (pow.f64 (cos.f64 y) 3)) (/.f64 1 (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) x) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 x x) (pow.f64 (cos.f64 y) 2)) (/.f64 1 (-.f64 x (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) x) (*.f64 x x)) (+.f64 (pow.f64 x 3) (pow.f64 (cos.f64 y) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 x (cos.f64 y)) (-.f64 (*.f64 x x) (pow.f64 (cos.f64 y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 (cos.f64 y) 3)) (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) x) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 (cos.f64 y) 3)) (+.f64 (pow.f64 (cos.f64 y) 2) (-.f64 (*.f64 x x) (*.f64 x (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (pow.f64 (cos.f64 y) 2)) (-.f64 x (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (cos.f64 y) 3))) (neg.f64 (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) x) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (cos.f64 y) 2))) (neg.f64 (-.f64 x (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (cos.f64 y) 2) (*.f64 x x)) (-.f64 (cos.f64 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x (cos.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 x (cos.f64 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 x (cos.f64 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 x (cos.f64 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) x) (*.f64 x x)) (+.f64 (pow.f64 x 3) (pow.f64 (cos.f64 y) 3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 x (cos.f64 y)) (-.f64 (*.f64 x x) (pow.f64 (cos.f64 y) 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 x (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (exp.f64 (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 x) (+.f64 1 (expm1.f64 (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (+.f64 1 (expm1.f64 (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (cos.f64 y))) (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (cos.f64 y)) (+.f64 1 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (cos.f64 y))) (+.f64 1 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 x (cos.f64 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 x (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 x (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 x (cos.f64 y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 x (cos.f64 y)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 x (cos.f64 y)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (+.f64 x (cos.f64 y)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 1 (cos.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cos.f64 y) 1 x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (cos.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (cos.f64 y) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (cos.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (cos.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (cos.f64 y)) (pow.f64 (cbrt.f64 (cos.f64 y)) 2) x)))) (#(struct:change #<rule egg-rr> (2) ((x 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(sin.f64 y) (+.f64 x (cos.f64 y))) (pow.f64 (+.f64 x (cos.f64 y)) 2))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))) (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2) (*.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (pow.f64 x 3) (pow.f64 (cos.f64 y) 3)) (/.f64 1 (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) x) (*.f64 x x))) (*.f64 (sin.f64 y) (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (pow.f64 x 3) (pow.f64 (cos.f64 y) 3)) (/.f64 1 (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) x) (*.f64 x x))) (*.f64 (*.f64 (sin.f64 y) (neg.f64 z)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2)) (/.f64 1 (fma.f64 z (sin.f64 y) (+.f64 x (cos.f64 y)))) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2)) (/.f64 1 (fma.f64 z (sin.f64 y) (+.f64 x (cos.f64 y)))) (fma.f64 (*.f64 (sin.f64 y) (neg.f64 z)) 1 (*.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2)) (/.f64 1 (fma.f64 z (sin.f64 y) (+.f64 x (cos.f64 y)))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))) (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2) (*.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (*.f64 x x) (pow.f64 (cos.f64 y) 2)) (/.f64 1 (-.f64 x (cos.f64 y))) (*.f64 (sin.f64 y) (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (*.f64 x x) (pow.f64 (cos.f64 y) 2)) (/.f64 1 (-.f64 x (cos.f64 y))) (*.f64 (*.f64 (sin.f64 y) (neg.f64 z)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 x (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) (neg.f64 z))) 2) (cbrt.f64 (*.f64 (sin.f64 y) (neg.f64 z))) (+.f64 x (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 (sin.f64 y) (neg.f64 z))) (sqrt.f64 (*.f64 (sin.f64 y) (neg.f64 z))) (+.f64 x (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (sin.f64 y)) z (+.f64 x (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (sqrt.f64 (*.f64 z (sin.f64 y)))) (sqrt.f64 (*.f64 z (sin.f64 y))) (+.f64 x (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (*.f64 z (sin.f64 y)) (+.f64 x (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (+.f64 x (cos.f64 y))) (sqrt.f64 (*.f64 z (sin.f64 y)))) (-.f64 (sqrt.f64 (+.f64 x (cos.f64 y))) (sqrt.f64 (*.f64 z (sin.f64 y)))) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (+.f64 x (cos.f64 y))) (sqrt.f64 (*.f64 z (sin.f64 y)))) (-.f64 (sqrt.f64 (+.f64 x (cos.f64 y))) (sqrt.f64 (*.f64 z (sin.f64 y)))) (fma.f64 (*.f64 (sin.f64 y) (neg.f64 z)) 1 (*.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (+.f64 x (cos.f64 y))) (sqrt.f64 (*.f64 z (sin.f64 y)))) (-.f64 (sqrt.f64 (+.f64 x (cos.f64 y))) (sqrt.f64 (*.f64 z (sin.f64 y)))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))) (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2) (*.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2)) (cbrt.f64 (*.f64 z (sin.f64 y))) (+.f64 x (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (neg.f64 z) 1) (sin.f64 y) (+.f64 x (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (neg.f64 z) (cbrt.f64 (pow.f64 (sin.f64 y) 2))) (cbrt.f64 (sin.f64 y)) (+.f64 x (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (neg.f64 z) (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y)) (+.f64 x (cos.f64 y))))))) |
| 1× | egg-herbie |
| 553× | sub-neg_binary64 |
| 527× | fma-def_binary64 |
| 492× | *-commutative_binary64 |
| 477× | fma-neg_binary64 |
| 304× | +-commutative_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 90 | 980 |
| 1 | 269 | 950 |
| 2 | 750 | 917 |
| 3 | 2900 | 894 |
| 4 | 6982 | 894 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (exp.f64 (cos.f64 y)) 1) |
(-.f64 (+.f64 (exp.f64 (cos.f64 y)) (*.f64 (exp.f64 (cos.f64 y)) x)) 1) |
(-.f64 (+.f64 (*.f64 1/2 (*.f64 (exp.f64 (cos.f64 y)) (pow.f64 x 2))) (+.f64 (exp.f64 (cos.f64 y)) (*.f64 (exp.f64 (cos.f64 y)) x))) 1) |
(-.f64 (+.f64 (*.f64 1/2 (*.f64 (exp.f64 (cos.f64 y)) (pow.f64 x 2))) (+.f64 (exp.f64 (cos.f64 y)) (+.f64 (*.f64 (exp.f64 (cos.f64 y)) x) (*.f64 1/6 (*.f64 (exp.f64 (cos.f64 y)) (pow.f64 x 3)))))) 1) |
(-.f64 (exp.f64 (+.f64 (cos.f64 y) x)) 1) |
(-.f64 (exp.f64 (+.f64 (cos.f64 y) x)) 1) |
(-.f64 (exp.f64 (+.f64 (cos.f64 y) x)) 1) |
(-.f64 (exp.f64 (+.f64 (cos.f64 y) x)) 1) |
(-.f64 (exp.f64 (-.f64 (cos.f64 y) (*.f64 -1 x))) 1) |
(-.f64 (exp.f64 (-.f64 (cos.f64 y) (*.f64 -1 x))) 1) |
(-.f64 (exp.f64 (-.f64 (cos.f64 y) (*.f64 -1 x))) 1) |
(-.f64 (exp.f64 (-.f64 (cos.f64 y) (*.f64 -1 x))) 1) |
(-.f64 (exp.f64 (+.f64 1 x)) 1) |
(-.f64 (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) (exp.f64 (+.f64 1 x)))) (exp.f64 (+.f64 1 x))) 1) |
(-.f64 (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) (exp.f64 (+.f64 1 x)))) (+.f64 (exp.f64 (+.f64 1 x)) (*.f64 1/6 (*.f64 (pow.f64 y 4) (exp.f64 (+.f64 1 x)))))) 1) |
(-.f64 (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) (exp.f64 (+.f64 1 x)))) (+.f64 (exp.f64 (+.f64 1 x)) (+.f64 (*.f64 -31/720 (*.f64 (pow.f64 y 6) (exp.f64 (+.f64 1 x)))) (*.f64 1/6 (*.f64 (pow.f64 y 4) (exp.f64 (+.f64 1 x))))))) 1) |
(-.f64 (exp.f64 (+.f64 (cos.f64 y) x)) 1) |
(-.f64 (exp.f64 (+.f64 (cos.f64 y) x)) 1) |
(-.f64 (exp.f64 (+.f64 (cos.f64 y) x)) 1) |
(-.f64 (exp.f64 (+.f64 (cos.f64 y) x)) 1) |
(-.f64 (exp.f64 (+.f64 (cos.f64 y) x)) 1) |
(-.f64 (exp.f64 (+.f64 (cos.f64 y) x)) 1) |
(-.f64 (exp.f64 (+.f64 (cos.f64 y) x)) 1) |
(-.f64 (exp.f64 (+.f64 (cos.f64 y) x)) 1) |
(cos.f64 y) |
(+.f64 (cos.f64 y) x) |
(+.f64 (cos.f64 y) x) |
(+.f64 (cos.f64 y) x) |
x |
(+.f64 (cos.f64 y) x) |
(+.f64 (cos.f64 y) x) |
(+.f64 (cos.f64 y) x) |
x |
(+.f64 (cos.f64 y) x) |
(+.f64 (cos.f64 y) x) |
(+.f64 (cos.f64 y) x) |
(+.f64 1 x) |
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 y 2)) x)) |
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (+.f64 (*.f64 1/24 (pow.f64 y 4)) x))) |
(+.f64 (*.f64 -1/720 (pow.f64 y 6)) (+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (+.f64 (*.f64 1/24 (pow.f64 y 4)) x)))) |
(+.f64 (cos.f64 y) x) |
(+.f64 (cos.f64 y) x) |
(+.f64 (cos.f64 y) x) |
(+.f64 (cos.f64 y) x) |
(+.f64 (cos.f64 y) x) |
(+.f64 (cos.f64 y) x) |
(+.f64 (cos.f64 y) x) |
(+.f64 (cos.f64 y) x) |
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) |
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
x |
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
x |
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(+.f64 1 x) |
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 y z)) x)) |
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 -1/2 (pow.f64 y 2)) x))) |
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 y 3) z)) x)))) |
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(+.f64 (cos.f64 y) x) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x)) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x)) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x)) |
(*.f64 -1 (*.f64 z (sin.f64 y))) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x)) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x)) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x)) |
(*.f64 -1 (*.f64 z (sin.f64 y))) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x)) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x)) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x)) |
| Outputs |
|---|
(-.f64 (exp.f64 (cos.f64 y)) 1) |
(expm1.f64 (cos.f64 y)) |
(-.f64 (+.f64 (exp.f64 (cos.f64 y)) (*.f64 (exp.f64 (cos.f64 y)) x)) 1) |
(+.f64 (exp.f64 (cos.f64 y)) (-.f64 (*.f64 (exp.f64 (cos.f64 y)) x) 1)) |
(+.f64 (*.f64 (+.f64 1 x) (exp.f64 (cos.f64 y))) -1) |
(fma.f64 (+.f64 1 x) (exp.f64 (cos.f64 y)) -1) |
(fma.f64 (exp.f64 (cos.f64 y)) (+.f64 1 x) -1) |
(-.f64 (+.f64 (*.f64 1/2 (*.f64 (exp.f64 (cos.f64 y)) (pow.f64 x 2))) (+.f64 (exp.f64 (cos.f64 y)) (*.f64 (exp.f64 (cos.f64 y)) x))) 1) |
(+.f64 (fma.f64 1/2 (*.f64 (exp.f64 (cos.f64 y)) (*.f64 x x)) (+.f64 (exp.f64 (cos.f64 y)) (*.f64 (exp.f64 (cos.f64 y)) x))) -1) |
(fma.f64 (*.f64 (exp.f64 (cos.f64 y)) 1/2) (*.f64 x x) (+.f64 (*.f64 (+.f64 1 x) (exp.f64 (cos.f64 y))) -1)) |
(+.f64 (*.f64 (exp.f64 (cos.f64 y)) (+.f64 (+.f64 1 x) (*.f64 x (*.f64 x 1/2)))) -1) |
(fma.f64 (exp.f64 (cos.f64 y)) (+.f64 (+.f64 1 x) (*.f64 x (*.f64 x 1/2))) -1) |
(-.f64 (+.f64 (*.f64 1/2 (*.f64 (exp.f64 (cos.f64 y)) (pow.f64 x 2))) (+.f64 (exp.f64 (cos.f64 y)) (+.f64 (*.f64 (exp.f64 (cos.f64 y)) x) (*.f64 1/6 (*.f64 (exp.f64 (cos.f64 y)) (pow.f64 x 3)))))) 1) |
(+.f64 (fma.f64 1/2 (*.f64 (exp.f64 (cos.f64 y)) (*.f64 x x)) (+.f64 (exp.f64 (cos.f64 y)) (fma.f64 (exp.f64 (cos.f64 y)) x (*.f64 1/6 (*.f64 (exp.f64 (cos.f64 y)) (pow.f64 x 3)))))) -1) |
(fma.f64 1/2 (*.f64 (exp.f64 (cos.f64 y)) (*.f64 x x)) (+.f64 (fma.f64 (exp.f64 (cos.f64 y)) x (*.f64 (exp.f64 (cos.f64 y)) (*.f64 (pow.f64 x 3) 1/6))) (expm1.f64 (cos.f64 y)))) |
(+.f64 (fma.f64 (+.f64 1 x) (exp.f64 (cos.f64 y)) -1) (*.f64 (exp.f64 (cos.f64 y)) (+.f64 (*.f64 1/6 (pow.f64 x 3)) (*.f64 x (*.f64 x 1/2))))) |
(+.f64 (*.f64 (exp.f64 (cos.f64 y)) (+.f64 (+.f64 1 x) (*.f64 (*.f64 x x) (+.f64 (*.f64 x 1/6) 1/2)))) -1) |
(-.f64 (exp.f64 (+.f64 (cos.f64 y) x)) 1) |
(expm1.f64 (+.f64 (cos.f64 y) x)) |
(-.f64 (exp.f64 (+.f64 (cos.f64 y) x)) 1) |
(expm1.f64 (+.f64 (cos.f64 y) x)) |
(-.f64 (exp.f64 (+.f64 (cos.f64 y) x)) 1) |
(expm1.f64 (+.f64 (cos.f64 y) x)) |
(-.f64 (exp.f64 (+.f64 (cos.f64 y) x)) 1) |
(expm1.f64 (+.f64 (cos.f64 y) x)) |
(-.f64 (exp.f64 (-.f64 (cos.f64 y) (*.f64 -1 x))) 1) |
(expm1.f64 (+.f64 (cos.f64 y) x)) |
(-.f64 (exp.f64 (-.f64 (cos.f64 y) (*.f64 -1 x))) 1) |
(expm1.f64 (+.f64 (cos.f64 y) x)) |
(-.f64 (exp.f64 (-.f64 (cos.f64 y) (*.f64 -1 x))) 1) |
(expm1.f64 (+.f64 (cos.f64 y) x)) |
(-.f64 (exp.f64 (-.f64 (cos.f64 y) (*.f64 -1 x))) 1) |
(expm1.f64 (+.f64 (cos.f64 y) x)) |
(-.f64 (exp.f64 (+.f64 1 x)) 1) |
(expm1.f64 (+.f64 1 x)) |
(-.f64 (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) (exp.f64 (+.f64 1 x)))) (exp.f64 (+.f64 1 x))) 1) |
(+.f64 (*.f64 -1/2 (*.f64 (exp.f64 (+.f64 1 x)) (*.f64 y y))) (expm1.f64 (+.f64 1 x))) |
(+.f64 -1 (*.f64 (+.f64 1 (*.f64 y (*.f64 y -1/2))) (exp.f64 (+.f64 1 x)))) |
(fma.f64 (fma.f64 y (*.f64 y -1/2) 1) (exp.f64 (+.f64 1 x)) -1) |
(fma.f64 (exp.f64 (+.f64 1 x)) (fma.f64 -1/2 (*.f64 y y) 1) -1) |
(-.f64 (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) (exp.f64 (+.f64 1 x)))) (+.f64 (exp.f64 (+.f64 1 x)) (*.f64 1/6 (*.f64 (pow.f64 y 4) (exp.f64 (+.f64 1 x)))))) 1) |
(+.f64 (+.f64 (fma.f64 -1/2 (*.f64 (exp.f64 (+.f64 1 x)) (*.f64 y y)) (exp.f64 (+.f64 1 x))) (*.f64 (*.f64 1/6 (pow.f64 y 4)) (exp.f64 (+.f64 1 x)))) -1) |
(+.f64 -1 (fma.f64 -1/2 (*.f64 y (*.f64 y (exp.f64 (+.f64 1 x)))) (*.f64 (+.f64 (*.f64 1/6 (pow.f64 y 4)) 1) (exp.f64 (+.f64 1 x))))) |
(+.f64 -1 (*.f64 (exp.f64 (+.f64 1 x)) (+.f64 (*.f64 y (*.f64 y -1/2)) (fma.f64 1/6 (pow.f64 y 4) 1)))) |
(fma.f64 (exp.f64 (+.f64 1 x)) (+.f64 (*.f64 1/6 (pow.f64 y 4)) (fma.f64 -1/2 (*.f64 y y) 1)) -1) |
(-.f64 (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) (exp.f64 (+.f64 1 x)))) (+.f64 (exp.f64 (+.f64 1 x)) (+.f64 (*.f64 -31/720 (*.f64 (pow.f64 y 6) (exp.f64 (+.f64 1 x)))) (*.f64 1/6 (*.f64 (pow.f64 y 4) (exp.f64 (+.f64 1 x))))))) 1) |
(+.f64 (+.f64 (fma.f64 -1/2 (*.f64 (exp.f64 (+.f64 1 x)) (*.f64 y y)) (exp.f64 (+.f64 1 x))) (fma.f64 -31/720 (*.f64 (exp.f64 (+.f64 1 x)) (pow.f64 y 6)) (*.f64 (*.f64 1/6 (pow.f64 y 4)) (exp.f64 (+.f64 1 x))))) -1) |
(+.f64 -1 (+.f64 (*.f64 (+.f64 1 (*.f64 y (*.f64 y -1/2))) (exp.f64 (+.f64 1 x))) (*.f64 (exp.f64 (+.f64 1 x)) (+.f64 (*.f64 1/6 (pow.f64 y 4)) (*.f64 -31/720 (pow.f64 y 6)))))) |
(fma.f64 (fma.f64 y (*.f64 y -1/2) 1) (exp.f64 (+.f64 1 x)) (fma.f64 (exp.f64 (+.f64 1 x)) (fma.f64 1/6 (pow.f64 y 4) (*.f64 -31/720 (pow.f64 y 6))) -1)) |
(+.f64 -1 (*.f64 (exp.f64 (+.f64 1 x)) (+.f64 (fma.f64 -1/2 (*.f64 y y) 1) (fma.f64 1/6 (pow.f64 y 4) (*.f64 -31/720 (pow.f64 y 6)))))) |
(-.f64 (exp.f64 (+.f64 (cos.f64 y) x)) 1) |
(expm1.f64 (+.f64 (cos.f64 y) x)) |
(-.f64 (exp.f64 (+.f64 (cos.f64 y) x)) 1) |
(expm1.f64 (+.f64 (cos.f64 y) x)) |
(-.f64 (exp.f64 (+.f64 (cos.f64 y) x)) 1) |
(expm1.f64 (+.f64 (cos.f64 y) x)) |
(-.f64 (exp.f64 (+.f64 (cos.f64 y) x)) 1) |
(expm1.f64 (+.f64 (cos.f64 y) x)) |
(-.f64 (exp.f64 (+.f64 (cos.f64 y) x)) 1) |
(expm1.f64 (+.f64 (cos.f64 y) x)) |
(-.f64 (exp.f64 (+.f64 (cos.f64 y) x)) 1) |
(expm1.f64 (+.f64 (cos.f64 y) x)) |
(-.f64 (exp.f64 (+.f64 (cos.f64 y) x)) 1) |
(expm1.f64 (+.f64 (cos.f64 y) x)) |
(-.f64 (exp.f64 (+.f64 (cos.f64 y) x)) 1) |
(expm1.f64 (+.f64 (cos.f64 y) x)) |
(cos.f64 y) |
(+.f64 (cos.f64 y) x) |
(+.f64 (cos.f64 y) x) |
(+.f64 (cos.f64 y) x) |
x |
(+.f64 (cos.f64 y) x) |
(+.f64 (cos.f64 y) x) |
(+.f64 (cos.f64 y) x) |
x |
(+.f64 (cos.f64 y) x) |
(+.f64 (cos.f64 y) x) |
(+.f64 (cos.f64 y) x) |
(+.f64 1 x) |
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 y 2)) x)) |
(+.f64 1 (fma.f64 -1/2 (*.f64 y y) x)) |
(+.f64 x (fma.f64 y (*.f64 y -1/2) 1)) |
(+.f64 x (fma.f64 -1/2 (*.f64 y y) 1)) |
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (+.f64 (*.f64 1/24 (pow.f64 y 4)) x))) |
(+.f64 1 (fma.f64 -1/2 (*.f64 y y) (fma.f64 1/24 (pow.f64 y 4) x))) |
(+.f64 1 (fma.f64 -1/2 (*.f64 y y) (fma.f64 (pow.f64 y 4) 1/24 x))) |
(+.f64 1 (fma.f64 (pow.f64 y 4) 1/24 (fma.f64 y (*.f64 y -1/2) x))) |
(+.f64 (fma.f64 (pow.f64 y 4) 1/24 x) (fma.f64 -1/2 (*.f64 y y) 1)) |
(+.f64 (*.f64 -1/720 (pow.f64 y 6)) (+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (+.f64 (*.f64 1/24 (pow.f64 y 4)) x)))) |
(fma.f64 -1/720 (pow.f64 y 6) (+.f64 1 (fma.f64 -1/2 (*.f64 y y) (fma.f64 1/24 (pow.f64 y 4) x)))) |
(+.f64 (fma.f64 -1/2 (*.f64 y y) (fma.f64 (pow.f64 y 4) 1/24 x)) (fma.f64 (pow.f64 y 6) -1/720 1)) |
(+.f64 (fma.f64 (pow.f64 y 4) 1/24 (fma.f64 y (*.f64 y -1/2) x)) (fma.f64 (pow.f64 y 6) -1/720 1)) |
(fma.f64 (pow.f64 y 6) -1/720 (+.f64 (fma.f64 (pow.f64 y 4) 1/24 x) (fma.f64 -1/2 (*.f64 y y) 1))) |
(+.f64 (cos.f64 y) x) |
(+.f64 (cos.f64 y) x) |
(+.f64 (cos.f64 y) x) |
(+.f64 (cos.f64 y) x) |
(+.f64 (cos.f64 y) x) |
(+.f64 (cos.f64 y) x) |
(+.f64 (cos.f64 y) x) |
(+.f64 (cos.f64 y) x) |
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) |
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))) |
(+.f64 (cos.f64 y) (fma.f64 z (neg.f64 (sin.f64 y)) x)) |
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) |
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))) |
(+.f64 (cos.f64 y) (fma.f64 z (neg.f64 (sin.f64 y)) x)) |
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) |
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))) |
(+.f64 (cos.f64 y) (fma.f64 z (neg.f64 (sin.f64 y)) x)) |
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) |
x |
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))) |
(+.f64 (cos.f64 y) (fma.f64 z (neg.f64 (sin.f64 y)) x)) |
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) |
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))) |
(+.f64 (cos.f64 y) (fma.f64 z (neg.f64 (sin.f64 y)) x)) |
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) |
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))) |
(+.f64 (cos.f64 y) (fma.f64 z (neg.f64 (sin.f64 y)) x)) |
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) |
x |
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))) |
(+.f64 (cos.f64 y) (fma.f64 z (neg.f64 (sin.f64 y)) x)) |
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) |
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))) |
(+.f64 (cos.f64 y) (fma.f64 z (neg.f64 (sin.f64 y)) x)) |
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) |
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))) |
(+.f64 (cos.f64 y) (fma.f64 z (neg.f64 (sin.f64 y)) x)) |
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) |
(+.f64 1 x) |
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 y z)) x)) |
(+.f64 1 (fma.f64 -1 (*.f64 y z) x)) |
(+.f64 1 (-.f64 x (*.f64 y z))) |
(fma.f64 y (neg.f64 z) (+.f64 1 x)) |
(-.f64 x (fma.f64 y z -1)) |
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 -1/2 (pow.f64 y 2)) x))) |
(+.f64 1 (fma.f64 -1 (*.f64 y z) (fma.f64 -1/2 (*.f64 y y) x))) |
(+.f64 1 (-.f64 (fma.f64 -1/2 (*.f64 y y) x) (*.f64 y z))) |
(-.f64 (+.f64 x (fma.f64 y (*.f64 y -1/2) 1)) (*.f64 y z)) |
(+.f64 1 (fma.f64 y (-.f64 (*.f64 y -1/2) z) x)) |
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 y 3) z)) x)))) |
(+.f64 1 (fma.f64 -1 (*.f64 y z) (fma.f64 -1/2 (*.f64 y y) (fma.f64 1/6 (*.f64 z (pow.f64 y 3)) x)))) |
(+.f64 1 (-.f64 (fma.f64 -1/2 (*.f64 y y) (fma.f64 1/6 (*.f64 z (pow.f64 y 3)) x)) (*.f64 y z))) |
(+.f64 (fma.f64 z (*.f64 1/6 (pow.f64 y 3)) (fma.f64 y (*.f64 y -1/2) x)) (-.f64 1 (*.f64 y z))) |
(-.f64 (fma.f64 z (*.f64 1/6 (pow.f64 y 3)) (fma.f64 y (*.f64 y -1/2) x)) (fma.f64 y z -1)) |
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))) |
(+.f64 (cos.f64 y) (fma.f64 z (neg.f64 (sin.f64 y)) x)) |
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) |
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))) |
(+.f64 (cos.f64 y) (fma.f64 z (neg.f64 (sin.f64 y)) x)) |
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) |
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))) |
(+.f64 (cos.f64 y) (fma.f64 z (neg.f64 (sin.f64 y)) x)) |
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) |
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))) |
(+.f64 (cos.f64 y) (fma.f64 z (neg.f64 (sin.f64 y)) x)) |
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) |
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))) |
(+.f64 (cos.f64 y) (fma.f64 z (neg.f64 (sin.f64 y)) x)) |
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) |
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))) |
(+.f64 (cos.f64 y) (fma.f64 z (neg.f64 (sin.f64 y)) x)) |
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) |
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))) |
(+.f64 (cos.f64 y) (fma.f64 z (neg.f64 (sin.f64 y)) x)) |
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) |
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))) |
(+.f64 (cos.f64 y) (fma.f64 z (neg.f64 (sin.f64 y)) x)) |
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) |
(+.f64 (cos.f64 y) x) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x)) |
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))) |
(+.f64 (cos.f64 y) (fma.f64 z (neg.f64 (sin.f64 y)) x)) |
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x)) |
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))) |
(+.f64 (cos.f64 y) (fma.f64 z (neg.f64 (sin.f64 y)) x)) |
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x)) |
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))) |
(+.f64 (cos.f64 y) (fma.f64 z (neg.f64 (sin.f64 y)) x)) |
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) |
(*.f64 -1 (*.f64 z (sin.f64 y))) |
(neg.f64 (*.f64 z (sin.f64 y))) |
(*.f64 z (neg.f64 (sin.f64 y))) |
(*.f64 (sin.f64 y) (neg.f64 z)) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x)) |
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))) |
(+.f64 (cos.f64 y) (fma.f64 z (neg.f64 (sin.f64 y)) x)) |
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x)) |
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))) |
(+.f64 (cos.f64 y) (fma.f64 z (neg.f64 (sin.f64 y)) x)) |
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x)) |
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))) |
(+.f64 (cos.f64 y) (fma.f64 z (neg.f64 (sin.f64 y)) x)) |
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) |
(*.f64 -1 (*.f64 z (sin.f64 y))) |
(neg.f64 (*.f64 z (sin.f64 y))) |
(*.f64 z (neg.f64 (sin.f64 y))) |
(*.f64 (sin.f64 y) (neg.f64 z)) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x)) |
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))) |
(+.f64 (cos.f64 y) (fma.f64 z (neg.f64 (sin.f64 y)) x)) |
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x)) |
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))) |
(+.f64 (cos.f64 y) (fma.f64 z (neg.f64 (sin.f64 y)) x)) |
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x)) |
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))) |
(+.f64 (cos.f64 y) (fma.f64 z (neg.f64 (sin.f64 y)) x)) |
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) |
| ✓ | 0.0b | (sqrt.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))) |
| 0.2b | (*.f64 z (sin.f64 y)) | |
| ✓ | 0.2b | (pow.f64 (sqrt.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))) 2) |
Compiled 53 to 12 computations (77.4% saved)
24 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | y | @ | inf | (pow.f64 (sqrt.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))) 2) |
| 4.0ms | y | @ | 0 | (pow.f64 (sqrt.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))) 2) |
| 2.0ms | x | @ | 0 | (pow.f64 (sqrt.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))) 2) |
| 2.0ms | z | @ | inf | (pow.f64 (sqrt.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))) 2) |
| 1.0ms | x | @ | inf | (pow.f64 (sqrt.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))) 2) |
| 1× | batch-egg-rewrite |
| 578× | log-prod_binary64 |
| 434× | fma-def_binary64 |
| 399× | pow-prod-down_binary64 |
| 324× | pow2_binary64 |
| 222× | pow1/3_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 41 |
| 1 | 267 | 41 |
| 2 | 3404 | 41 |
| 1× | node limit |
| Inputs |
|---|
(pow.f64 (sqrt.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))) 2) |
(sqrt.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))) |
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) |
| Outputs |
|---|
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(sin.f64 y))) (neg.f64 (sqrt.f64 (*.f64 z (sin.f64 y)))) (cos.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (cos.f64 y)) (*.f64 z (neg.f64 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (cos.f64 y)) (*.f64 (*.f64 z (neg.f64 (sin.f64 y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (/.f64 1 (fma.f64 (*.f64 z (sin.f64 y)) (fma.f64 z (sin.f64 y) (cos.f64 y)) (pow.f64 (cos.f64 y) 2))) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (/.f64 1 (fma.f64 (*.f64 z (sin.f64 y)) (fma.f64 z (sin.f64 y) (cos.f64 y)) (pow.f64 (cos.f64 y) 2))) (fma.f64 (*.f64 z (neg.f64 (sin.f64 y))) 1 (*.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (/.f64 1 (fma.f64 (*.f64 z (sin.f64 y)) (fma.f64 z (sin.f64 y) (cos.f64 y)) (pow.f64 (cos.f64 y) 2))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))) (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2) (*.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2)) (/.f64 1 (fma.f64 z (sin.f64 y) (cos.f64 y))) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2)) (/.f64 1 (fma.f64 z (sin.f64 y) (cos.f64 y))) (fma.f64 (*.f64 z (neg.f64 (sin.f64 y))) 1 (*.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2)) (/.f64 1 (fma.f64 z (sin.f64 y) (cos.f64 y))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))) (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2) (*.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 z (neg.f64 (sin.f64 y)))) 2) (cbrt.f64 (*.f64 z (neg.f64 (sin.f64 y)))) (cos.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 z (neg.f64 (sin.f64 y)))) (sqrt.f64 (*.f64 z (neg.f64 (sin.f64 y)))) (cos.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (sin.f64 y)) z (cos.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (sqrt.f64 (*.f64 z (sin.f64 y)))) (sqrt.f64 (*.f64 z (sin.f64 y))) (cos.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (*.f64 z (sin.f64 y)) (cos.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (*.f64 z (sin.f64 y)))) (-.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (*.f64 z (sin.f64 y)))) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (*.f64 z (sin.f64 y)))) (-.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (*.f64 z (sin.f64 y)))) (fma.f64 (*.f64 z (neg.f64 (sin.f64 y))) 1 (*.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (*.f64 z (sin.f64 y)))) (-.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (*.f64 z (sin.f64 y)))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))) (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2) (*.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2)) (cbrt.f64 (*.f64 z (sin.f64 y))) (cos.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (neg.f64 z) 1) (sin.f64 y) (cos.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (neg.f64 z) (pow.f64 (cbrt.f64 (sin.f64 y)) 2)) (cbrt.f64 (sin.f64 y)) (cos.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (neg.f64 z) (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y)) (cos.f64 y)))))) |
| 1× | egg-herbie |
| 580× | distribute-rgt-in_binary64 |
| 416× | associate-+l+_binary64 |
| 390× | *-commutative_binary64 |
| 330× | associate-+r+_binary64 |
| 316× | fma-neg_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 161 | 1521 |
| 1 | 514 | 1488 |
| 2 | 1814 | 1345 |
| 3 | 5126 | 1193 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) |
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(-.f64 (+.f64 (cos.f64 y) (+.f64 x (*.f64 (+.f64 (*.f64 1/64 (/.f64 1 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 3))) (+.f64 (*.f64 -1 (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 3))) (pow.f64 (*.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 3)))) 2))) (*.f64 1/16 (/.f64 1 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 3))))) (pow.f64 x 4)))) (*.f64 z (sin.f64 y))) |
(-.f64 (+.f64 (cos.f64 y) (+.f64 x (*.f64 (+.f64 (*.f64 1/64 (/.f64 1 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 3))) (+.f64 (*.f64 -1 (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 3))) (pow.f64 (*.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 3)))) 2))) (*.f64 1/16 (/.f64 1 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 3))))) (pow.f64 x 4)))) (*.f64 z (sin.f64 y))) |
(+.f64 1 x) |
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 y z)) x)) |
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 (pow.f64 y 2) (+.f64 (*.f64 1/4 (/.f64 (pow.f64 z 2) (+.f64 1 x))) (*.f64 -1 (+.f64 1/2 (pow.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1 x))) z)) 2))))) x))) |
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 (pow.f64 y 3) (+.f64 (*.f64 -1 (+.f64 (*.f64 -1/6 z) (*.f64 1/2 (/.f64 (*.f64 z (+.f64 1/2 (pow.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1 x))) z)) 2))) (+.f64 1 x))))) (*.f64 1/2 (/.f64 (*.f64 z (+.f64 1/2 (pow.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1 x))) z)) 2))) (+.f64 1 x))))) (+.f64 (*.f64 (pow.f64 y 2) (+.f64 (*.f64 1/4 (/.f64 (pow.f64 z 2) (+.f64 1 x))) (*.f64 -1 (+.f64 1/2 (pow.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1 x))) z)) 2))))) x)))) |
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(+.f64 (cos.f64 y) x) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x)) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) (+.f64 (*.f64 (+.f64 (*.f64 1/4 (/.f64 (pow.f64 (sin.f64 y) 2) (+.f64 (cos.f64 y) x))) (*.f64 -1/4 (/.f64 (pow.f64 (sin.f64 y) 2) (+.f64 (cos.f64 y) x)))) (pow.f64 z 2)) x))) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (*.f64 (+.f64 (*.f64 1/8 (/.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 (+.f64 (cos.f64 y) x) 2))) (*.f64 -1/8 (/.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 (+.f64 (cos.f64 y) x) 2)))) (pow.f64 z 3)) (+.f64 (cos.f64 y) (+.f64 (*.f64 (+.f64 (*.f64 1/4 (/.f64 (pow.f64 (sin.f64 y) 2) (+.f64 (cos.f64 y) x))) (*.f64 -1/4 (/.f64 (pow.f64 (sin.f64 y) 2) (+.f64 (cos.f64 y) x)))) (pow.f64 z 2)) x)))) |
(sqrt.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) |
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))) x)) (sqrt.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))) |
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))) x)) (+.f64 (sqrt.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 3))) (pow.f64 x 2))))) |
(+.f64 (*.f64 1/16 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 5))) (pow.f64 x 3))) (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))) x)) (+.f64 (sqrt.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 3))) (pow.f64 x 2)))))) |
(sqrt.f64 (+.f64 1 x)) |
(+.f64 (sqrt.f64 (+.f64 1 x)) (*.f64 -1/2 (*.f64 (*.f64 y z) (sqrt.f64 (/.f64 1 (+.f64 1 x)))))) |
(+.f64 (*.f64 -1/2 (*.f64 (*.f64 (pow.f64 y 2) (+.f64 1/2 (pow.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1 x))) z)) 2))) (sqrt.f64 (/.f64 1 (+.f64 1 x))))) (+.f64 (sqrt.f64 (+.f64 1 x)) (*.f64 -1/2 (*.f64 (*.f64 y z) (sqrt.f64 (/.f64 1 (+.f64 1 x))))))) |
(+.f64 (*.f64 -1/2 (*.f64 (*.f64 (pow.f64 y 2) (+.f64 1/2 (pow.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1 x))) z)) 2))) (sqrt.f64 (/.f64 1 (+.f64 1 x))))) (+.f64 (*.f64 -1/2 (*.f64 (*.f64 (pow.f64 y 3) (+.f64 (*.f64 -1/6 z) (*.f64 1/2 (/.f64 (*.f64 z (+.f64 1/2 (pow.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1 x))) z)) 2))) (+.f64 1 x))))) (sqrt.f64 (/.f64 1 (+.f64 1 x))))) (+.f64 (sqrt.f64 (+.f64 1 x)) (*.f64 -1/2 (*.f64 (*.f64 y z) (sqrt.f64 (/.f64 1 (+.f64 1 x)))))))) |
(sqrt.f64 (-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))) |
(sqrt.f64 (-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))) |
(sqrt.f64 (-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))) |
(sqrt.f64 (-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))) |
(sqrt.f64 (-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))) |
(sqrt.f64 (-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))) |
(sqrt.f64 (-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))) |
(sqrt.f64 (-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))) |
(sqrt.f64 (+.f64 (cos.f64 y) x)) |
(+.f64 (sqrt.f64 (+.f64 (cos.f64 y) x)) (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (cos.f64 y) x))) (*.f64 z (sin.f64 y))))) |
(+.f64 (sqrt.f64 (+.f64 (cos.f64 y) x)) (+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (cos.f64 y) x))) (*.f64 z (sin.f64 y)))) (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (cos.f64 y) x) 3))) (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)))))) |
(+.f64 (sqrt.f64 (+.f64 (cos.f64 y) x)) (+.f64 (*.f64 -1/16 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (cos.f64 y) x) 5))) (*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3)))) (+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (cos.f64 y) x))) (*.f64 z (sin.f64 y)))) (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (cos.f64 y) x) 3))) (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))))))) |
1 |
(+.f64 1 (*.f64 -1 (*.f64 y z))) |
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 -1/2 (pow.f64 y 2)))) |
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (*.f64 1/6 (*.f64 (pow.f64 y 3) z))))) |
(cos.f64 y) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (cos.f64 y)) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (cos.f64 y)) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (cos.f64 y)) |
(*.f64 -1 (*.f64 z (sin.f64 y))) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (cos.f64 y)) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (cos.f64 y)) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (cos.f64 y)) |
(*.f64 -1 (*.f64 z (sin.f64 y))) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (cos.f64 y)) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (cos.f64 y)) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (cos.f64 y)) |
| Outputs |
|---|
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) |
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))) |
(-.f64 (+.f64 (cos.f64 y) (+.f64 x (*.f64 (+.f64 (*.f64 1/64 (/.f64 1 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 3))) (+.f64 (*.f64 -1 (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 3))) (pow.f64 (*.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 3)))) 2))) (*.f64 1/16 (/.f64 1 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 3))))) (pow.f64 x 4)))) (*.f64 z (sin.f64 y))) |
(+.f64 (cos.f64 y) (-.f64 (+.f64 x (*.f64 (+.f64 (/.f64 1/64 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 3)) (fma.f64 -1 (+.f64 (/.f64 1/16 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 3)) (pow.f64 (*.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 3)))) 2)) (/.f64 1/16 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 3)))) (pow.f64 x 4))) (*.f64 z (sin.f64 y)))) |
(+.f64 (cos.f64 y) (-.f64 (fma.f64 (+.f64 (/.f64 1/64 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 3)) (-.f64 (/.f64 1/16 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 3)) (+.f64 (/.f64 1/16 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 3)) (pow.f64 (*.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 3)))) 2)))) (pow.f64 x 4) x) (*.f64 z (sin.f64 y)))) |
(+.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) (fma.f64 (-.f64 (*.f64 (/.f64 1 (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) 3)) 5/64) (*.f64 (/.f64 1 (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) 3)) 5/64)) (pow.f64 x 4) x)) |
(+.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) (fma.f64 (pow.f64 x 4) 0 x)) |
(-.f64 (+.f64 (cos.f64 y) (+.f64 x (*.f64 (+.f64 (*.f64 1/64 (/.f64 1 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 3))) (+.f64 (*.f64 -1 (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 3))) (pow.f64 (*.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 3)))) 2))) (*.f64 1/16 (/.f64 1 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 3))))) (pow.f64 x 4)))) (*.f64 z (sin.f64 y))) |
(+.f64 (cos.f64 y) (-.f64 (+.f64 x (*.f64 (+.f64 (/.f64 1/64 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 3)) (fma.f64 -1 (+.f64 (/.f64 1/16 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 3)) (pow.f64 (*.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 3)))) 2)) (/.f64 1/16 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 3)))) (pow.f64 x 4))) (*.f64 z (sin.f64 y)))) |
(+.f64 (cos.f64 y) (-.f64 (fma.f64 (+.f64 (/.f64 1/64 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 3)) (-.f64 (/.f64 1/16 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 3)) (+.f64 (/.f64 1/16 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 3)) (pow.f64 (*.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 3)))) 2)))) (pow.f64 x 4) x) (*.f64 z (sin.f64 y)))) |
(+.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) (fma.f64 (-.f64 (*.f64 (/.f64 1 (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) 3)) 5/64) (*.f64 (/.f64 1 (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) 3)) 5/64)) (pow.f64 x 4) x)) |
(+.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) (fma.f64 (pow.f64 x 4) 0 x)) |
(+.f64 1 x) |
(+.f64 x 1) |
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 y z)) x)) |
(+.f64 1 (fma.f64 -1 (*.f64 y z) x)) |
(+.f64 x (-.f64 1 (*.f64 y z))) |
(-.f64 x (fma.f64 y z -1)) |
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 (pow.f64 y 2) (+.f64 (*.f64 1/4 (/.f64 (pow.f64 z 2) (+.f64 1 x))) (*.f64 -1 (+.f64 1/2 (pow.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1 x))) z)) 2))))) x))) |
(+.f64 1 (fma.f64 -1 (*.f64 y z) (fma.f64 (*.f64 y y) (fma.f64 1/4 (/.f64 (*.f64 z z) (+.f64 x 1)) (neg.f64 (+.f64 1/2 (pow.f64 (*.f64 -1/2 (*.f64 z (sqrt.f64 (/.f64 1 (+.f64 x 1))))) 2)))) x))) |
(+.f64 (fma.f64 (*.f64 y y) (-.f64 (/.f64 (*.f64 (*.f64 1/4 z) z) (+.f64 x 1)) (+.f64 1/2 (pow.f64 (*.f64 z (*.f64 -1/2 (sqrt.f64 (/.f64 1 (+.f64 x 1))))) 2))) x) (-.f64 1 (*.f64 y z))) |
(+.f64 (fma.f64 (*.f64 y y) (fma.f64 1/4 (/.f64 (*.f64 z z) (+.f64 x 1)) (-.f64 -1/2 (pow.f64 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 x 1))) (*.f64 z -1/2)) 2))) x) (-.f64 1 (*.f64 y z))) |
(-.f64 (fma.f64 (*.f64 y y) (+.f64 -1/2 (*.f64 (*.f64 z z) (-.f64 (/.f64 1/4 (+.f64 x 1)) (*.f64 1/4 (/.f64 1 (+.f64 x 1)))))) x) (fma.f64 y z -1)) |
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 (pow.f64 y 3) (+.f64 (*.f64 -1 (+.f64 (*.f64 -1/6 z) (*.f64 1/2 (/.f64 (*.f64 z (+.f64 1/2 (pow.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1 x))) z)) 2))) (+.f64 1 x))))) (*.f64 1/2 (/.f64 (*.f64 z (+.f64 1/2 (pow.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1 x))) z)) 2))) (+.f64 1 x))))) (+.f64 (*.f64 (pow.f64 y 2) (+.f64 (*.f64 1/4 (/.f64 (pow.f64 z 2) (+.f64 1 x))) (*.f64 -1 (+.f64 1/2 (pow.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1 x))) z)) 2))))) x)))) |
(+.f64 1 (fma.f64 -1 (*.f64 y z) (fma.f64 (pow.f64 y 3) (fma.f64 -1 (fma.f64 -1/6 z (*.f64 1/2 (/.f64 z (/.f64 (+.f64 x 1) (+.f64 1/2 (pow.f64 (*.f64 -1/2 (*.f64 z (sqrt.f64 (/.f64 1 (+.f64 x 1))))) 2)))))) (*.f64 1/2 (/.f64 z (/.f64 (+.f64 x 1) (+.f64 1/2 (pow.f64 (*.f64 -1/2 (*.f64 z (sqrt.f64 (/.f64 1 (+.f64 x 1))))) 2)))))) (fma.f64 (*.f64 y y) (fma.f64 1/4 (/.f64 (*.f64 z z) (+.f64 x 1)) (neg.f64 (+.f64 1/2 (pow.f64 (*.f64 -1/2 (*.f64 z (sqrt.f64 (/.f64 1 (+.f64 x 1))))) 2)))) x)))) |
(+.f64 (fma.f64 (pow.f64 y 3) (-.f64 (*.f64 1/2 (*.f64 (/.f64 z (+.f64 x 1)) (+.f64 1/2 (pow.f64 (*.f64 z (*.f64 -1/2 (sqrt.f64 (/.f64 1 (+.f64 x 1))))) 2)))) (fma.f64 1/2 (*.f64 (/.f64 z (+.f64 x 1)) (+.f64 1/2 (pow.f64 (*.f64 z (*.f64 -1/2 (sqrt.f64 (/.f64 1 (+.f64 x 1))))) 2))) (*.f64 z -1/6))) (fma.f64 (*.f64 y y) (-.f64 (/.f64 (*.f64 (*.f64 1/4 z) z) (+.f64 x 1)) (+.f64 1/2 (pow.f64 (*.f64 z (*.f64 -1/2 (sqrt.f64 (/.f64 1 (+.f64 x 1))))) 2))) x)) (-.f64 1 (*.f64 y z))) |
(+.f64 (fma.f64 (pow.f64 y 3) (+.f64 (*.f64 z 1/6) (*.f64 (*.f64 (+.f64 1/2 (pow.f64 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 x 1))) (*.f64 z -1/2)) 2)) (/.f64 z (+.f64 x 1))) 0)) (fma.f64 (*.f64 y y) (fma.f64 1/4 (/.f64 (*.f64 z z) (+.f64 x 1)) (-.f64 -1/2 (pow.f64 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 x 1))) (*.f64 z -1/2)) 2))) x)) (-.f64 1 (*.f64 y z))) |
(-.f64 (fma.f64 (pow.f64 y 3) (*.f64 z 1/6) (fma.f64 (*.f64 y y) (+.f64 -1/2 (*.f64 (*.f64 z z) (-.f64 (/.f64 1/4 (+.f64 x 1)) (*.f64 1/4 (/.f64 1 (+.f64 x 1)))))) x)) (fma.f64 y z -1)) |
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))) |
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))) |
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))) |
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))) |
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))) |
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))) |
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))) |
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))) |
(+.f64 (cos.f64 y) x) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x)) |
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) (+.f64 (*.f64 (+.f64 (*.f64 1/4 (/.f64 (pow.f64 (sin.f64 y) 2) (+.f64 (cos.f64 y) x))) (*.f64 -1/4 (/.f64 (pow.f64 (sin.f64 y) 2) (+.f64 (cos.f64 y) x)))) (pow.f64 z 2)) x))) |
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (*.f64 (+.f64 (*.f64 1/8 (/.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 (+.f64 (cos.f64 y) x) 2))) (*.f64 -1/8 (/.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 (+.f64 (cos.f64 y) x) 2)))) (pow.f64 z 3)) (+.f64 (cos.f64 y) (+.f64 (*.f64 (+.f64 (*.f64 1/4 (/.f64 (pow.f64 (sin.f64 y) 2) (+.f64 (cos.f64 y) x))) (*.f64 -1/4 (/.f64 (pow.f64 (sin.f64 y) 2) (+.f64 (cos.f64 y) x)))) (pow.f64 z 2)) x)))) |
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))) |
(sqrt.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) |
(sqrt.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y))) |
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))) x)) (sqrt.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))) |
(fma.f64 1/2 (*.f64 x (sqrt.f64 (/.f64 1 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))))) (sqrt.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))) |
(fma.f64 1/2 (*.f64 x (sqrt.f64 (/.f64 1 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y))))) (sqrt.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)))) |
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))) x)) (+.f64 (sqrt.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 3))) (pow.f64 x 2))))) |
(+.f64 (fma.f64 1/2 (*.f64 x (sqrt.f64 (/.f64 1 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))))) (sqrt.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))) (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 3))) (*.f64 x x)))) |
(fma.f64 1/2 (*.f64 x (sqrt.f64 (/.f64 1 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))))) (fma.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 3))) (*.f64 x x)) (sqrt.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))))) |
(fma.f64 1/2 (*.f64 x (sqrt.f64 (/.f64 1 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y))))) (fma.f64 -1/8 (*.f64 x (*.f64 x (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) 3))))) (sqrt.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y))))) |
(+.f64 (*.f64 1/16 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 5))) (pow.f64 x 3))) (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))) x)) (+.f64 (sqrt.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 3))) (pow.f64 x 2)))))) |
(fma.f64 1/16 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 5))) (pow.f64 x 3)) (+.f64 (fma.f64 1/2 (*.f64 x (sqrt.f64 (/.f64 1 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))))) (sqrt.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))) (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 3))) (*.f64 x x))))) |
(fma.f64 1/16 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 5))) (pow.f64 x 3)) (fma.f64 1/2 (*.f64 x (sqrt.f64 (/.f64 1 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))))) (fma.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 3))) (*.f64 x x)) (sqrt.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))))) |
(fma.f64 1/16 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) 5))) (pow.f64 x 3)) (fma.f64 1/2 (*.f64 x (sqrt.f64 (/.f64 1 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y))))) (fma.f64 -1/8 (*.f64 x (*.f64 x (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) 3))))) (sqrt.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)))))) |
(sqrt.f64 (+.f64 1 x)) |
(sqrt.f64 (+.f64 x 1)) |
(+.f64 (sqrt.f64 (+.f64 1 x)) (*.f64 -1/2 (*.f64 (*.f64 y z) (sqrt.f64 (/.f64 1 (+.f64 1 x)))))) |
(+.f64 (sqrt.f64 (+.f64 x 1)) (*.f64 -1/2 (*.f64 y (*.f64 z (sqrt.f64 (/.f64 1 (+.f64 x 1))))))) |
(fma.f64 -1/2 (*.f64 (*.f64 y z) (sqrt.f64 (/.f64 1 (+.f64 x 1)))) (sqrt.f64 (+.f64 x 1))) |
(+.f64 (*.f64 -1/2 (*.f64 (*.f64 (pow.f64 y 2) (+.f64 1/2 (pow.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1 x))) z)) 2))) (sqrt.f64 (/.f64 1 (+.f64 1 x))))) (+.f64 (sqrt.f64 (+.f64 1 x)) (*.f64 -1/2 (*.f64 (*.f64 y z) (sqrt.f64 (/.f64 1 (+.f64 1 x))))))) |
(fma.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 x 1))) (*.f64 (*.f64 y y) (+.f64 1/2 (pow.f64 (*.f64 -1/2 (*.f64 z (sqrt.f64 (/.f64 1 (+.f64 x 1))))) 2)))) (+.f64 (sqrt.f64 (+.f64 x 1)) (*.f64 -1/2 (*.f64 y (*.f64 z (sqrt.f64 (/.f64 1 (+.f64 x 1)))))))) |
(fma.f64 -1/2 (*.f64 (+.f64 1/2 (pow.f64 (*.f64 z (*.f64 -1/2 (sqrt.f64 (/.f64 1 (+.f64 x 1))))) 2)) (*.f64 (*.f64 y y) (sqrt.f64 (/.f64 1 (+.f64 x 1))))) (fma.f64 -1/2 (*.f64 (*.f64 y z) (sqrt.f64 (/.f64 1 (+.f64 x 1)))) (sqrt.f64 (+.f64 x 1)))) |
(+.f64 (sqrt.f64 (+.f64 x 1)) (*.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (+.f64 x 1)))) (+.f64 (*.f64 y z) (*.f64 y (*.f64 y (+.f64 1/2 (pow.f64 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 x 1))) (*.f64 z -1/2)) 2))))))) |
(+.f64 (sqrt.f64 (+.f64 x 1)) (*.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (+.f64 x 1)))) (*.f64 y (+.f64 (*.f64 y (+.f64 1/2 (*.f64 1/4 (*.f64 (*.f64 z z) (/.f64 1 (+.f64 x 1)))))) z)))) |
(+.f64 (*.f64 -1/2 (*.f64 (*.f64 (pow.f64 y 2) (+.f64 1/2 (pow.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1 x))) z)) 2))) (sqrt.f64 (/.f64 1 (+.f64 1 x))))) (+.f64 (*.f64 -1/2 (*.f64 (*.f64 (pow.f64 y 3) (+.f64 (*.f64 -1/6 z) (*.f64 1/2 (/.f64 (*.f64 z (+.f64 1/2 (pow.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1 x))) z)) 2))) (+.f64 1 x))))) (sqrt.f64 (/.f64 1 (+.f64 1 x))))) (+.f64 (sqrt.f64 (+.f64 1 x)) (*.f64 -1/2 (*.f64 (*.f64 y z) (sqrt.f64 (/.f64 1 (+.f64 1 x)))))))) |
(fma.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 x 1))) (*.f64 (*.f64 y y) (+.f64 1/2 (pow.f64 (*.f64 -1/2 (*.f64 z (sqrt.f64 (/.f64 1 (+.f64 x 1))))) 2)))) (fma.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 x 1))) (*.f64 (pow.f64 y 3) (fma.f64 -1/6 z (*.f64 1/2 (/.f64 z (/.f64 (+.f64 x 1) (+.f64 1/2 (pow.f64 (*.f64 -1/2 (*.f64 z (sqrt.f64 (/.f64 1 (+.f64 x 1))))) 2)))))))) (+.f64 (sqrt.f64 (+.f64 x 1)) (*.f64 -1/2 (*.f64 y (*.f64 z (sqrt.f64 (/.f64 1 (+.f64 x 1))))))))) |
(+.f64 (fma.f64 -1/2 (*.f64 (*.f64 y z) (sqrt.f64 (/.f64 1 (+.f64 x 1)))) (sqrt.f64 (+.f64 x 1))) (*.f64 (sqrt.f64 (/.f64 1 (+.f64 x 1))) (+.f64 (*.f64 (*.f64 y (*.f64 y -1/2)) (+.f64 1/2 (pow.f64 (*.f64 z (*.f64 -1/2 (sqrt.f64 (/.f64 1 (+.f64 x 1))))) 2))) (*.f64 -1/2 (*.f64 (pow.f64 y 3) (fma.f64 1/2 (*.f64 (/.f64 z (+.f64 x 1)) (+.f64 1/2 (pow.f64 (*.f64 z (*.f64 -1/2 (sqrt.f64 (/.f64 1 (+.f64 x 1))))) 2))) (*.f64 z -1/6))))))) |
(+.f64 (sqrt.f64 (+.f64 x 1)) (*.f64 (sqrt.f64 (/.f64 1 (+.f64 x 1))) (+.f64 (*.f64 -1/2 (+.f64 (*.f64 y (*.f64 y (+.f64 1/2 (pow.f64 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 x 1))) (*.f64 z -1/2)) 2)))) (*.f64 (pow.f64 y 3) (fma.f64 z -1/6 (/.f64 (+.f64 1/4 (*.f64 (pow.f64 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 x 1))) (*.f64 z -1/2)) 2) 1/2)) (/.f64 (+.f64 x 1) z)))))) (*.f64 z (*.f64 y -1/2))))) |
(+.f64 (sqrt.f64 (+.f64 x 1)) (*.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (+.f64 x 1)))) (+.f64 (*.f64 (*.f64 y y) (+.f64 (+.f64 1/2 (*.f64 1/4 (*.f64 (*.f64 z z) (/.f64 1 (+.f64 x 1))))) (*.f64 y (fma.f64 z -1/6 (/.f64 (+.f64 1/4 (*.f64 (*.f64 1/4 (*.f64 (*.f64 z z) (/.f64 1 (+.f64 x 1)))) 1/2)) (/.f64 (+.f64 x 1) z)))))) (*.f64 y z)))) |
(sqrt.f64 (-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))) |
(sqrt.f64 (+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))) |
(sqrt.f64 (-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))) |
(sqrt.f64 (+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))) |
(sqrt.f64 (-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))) |
(sqrt.f64 (+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))) |
(sqrt.f64 (-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))) |
(sqrt.f64 (+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))) |
(sqrt.f64 (-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))) |
(sqrt.f64 (+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))) |
(sqrt.f64 (-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))) |
(sqrt.f64 (+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))) |
(sqrt.f64 (-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))) |
(sqrt.f64 (+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))) |
(sqrt.f64 (-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))) |
(sqrt.f64 (+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))) |
(sqrt.f64 (+.f64 (cos.f64 y) x)) |
(+.f64 (sqrt.f64 (+.f64 (cos.f64 y) x)) (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (cos.f64 y) x))) (*.f64 z (sin.f64 y))))) |
(+.f64 (sqrt.f64 (+.f64 (cos.f64 y) x)) (*.f64 -1/2 (*.f64 (*.f64 z (sin.f64 y)) (sqrt.f64 (/.f64 1 (+.f64 (cos.f64 y) x)))))) |
(fma.f64 -1/2 (*.f64 z (*.f64 (sin.f64 y) (sqrt.f64 (/.f64 1 (+.f64 (cos.f64 y) x))))) (sqrt.f64 (+.f64 (cos.f64 y) x))) |
(+.f64 (sqrt.f64 (+.f64 (cos.f64 y) x)) (+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (cos.f64 y) x))) (*.f64 z (sin.f64 y)))) (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (cos.f64 y) x) 3))) (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)))))) |
(+.f64 (sqrt.f64 (+.f64 (cos.f64 y) x)) (fma.f64 -1/2 (*.f64 (*.f64 z (sin.f64 y)) (sqrt.f64 (/.f64 1 (+.f64 (cos.f64 y) x)))) (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (cos.f64 y) x) 3))) (*.f64 (*.f64 z z) (pow.f64 (sin.f64 y) 2)))))) |
(+.f64 (sqrt.f64 (+.f64 (cos.f64 y) x)) (fma.f64 -1/8 (*.f64 (*.f64 z z) (*.f64 (pow.f64 (sin.f64 y) 2) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (cos.f64 y) x) 3))))) (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (cos.f64 y) x))) (*.f64 (*.f64 z (sin.f64 y)) -1/2)))) |
(+.f64 (sqrt.f64 (+.f64 (cos.f64 y) x)) (fma.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (cos.f64 y) x) 3))) (*.f64 z (*.f64 z (pow.f64 (sin.f64 y) 2)))) (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (cos.f64 y) x))) (*.f64 (*.f64 z (sin.f64 y)) -1/2)))) |
(+.f64 (sqrt.f64 (+.f64 (cos.f64 y) x)) (+.f64 (*.f64 -1/16 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (cos.f64 y) x) 5))) (*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3)))) (+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (cos.f64 y) x))) (*.f64 z (sin.f64 y)))) (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (cos.f64 y) x) 3))) (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))))))) |
(+.f64 (sqrt.f64 (+.f64 (cos.f64 y) x)) (fma.f64 -1/16 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (cos.f64 y) x) 5))) (*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 z 3))) (fma.f64 -1/2 (*.f64 (*.f64 z (sin.f64 y)) (sqrt.f64 (/.f64 1 (+.f64 (cos.f64 y) x)))) (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (cos.f64 y) x) 3))) (*.f64 (*.f64 z z) (pow.f64 (sin.f64 y) 2))))))) |
(+.f64 (sqrt.f64 (+.f64 (cos.f64 y) x)) (fma.f64 -1/16 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (cos.f64 y) x) 5))) (*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 z 3))) (fma.f64 -1/8 (*.f64 (*.f64 z z) (*.f64 (pow.f64 (sin.f64 y) 2) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (cos.f64 y) x) 3))))) (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (cos.f64 y) x))) (*.f64 (*.f64 z (sin.f64 y)) -1/2))))) |
(+.f64 (sqrt.f64 (+.f64 (cos.f64 y) x)) (fma.f64 -1/16 (*.f64 (pow.f64 (sin.f64 y) 3) (*.f64 (pow.f64 z 3) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (cos.f64 y) x) 5))))) (fma.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (cos.f64 y) x) 3))) (*.f64 z (*.f64 z (pow.f64 (sin.f64 y) 2)))) (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (cos.f64 y) x))) (*.f64 (*.f64 z (sin.f64 y)) -1/2))))) |
1 |
(+.f64 1 (*.f64 -1 (*.f64 y z))) |
(+.f64 1 (neg.f64 (*.f64 y z))) |
(-.f64 1 (*.f64 y z)) |
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 -1/2 (pow.f64 y 2)))) |
(+.f64 1 (fma.f64 -1 (*.f64 y z) (*.f64 (*.f64 y y) -1/2))) |
(+.f64 1 (-.f64 (*.f64 y (*.f64 y -1/2)) (*.f64 y z))) |
(+.f64 1 (*.f64 y (-.f64 (*.f64 y -1/2) z))) |
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (*.f64 1/6 (*.f64 (pow.f64 y 3) z))))) |
(+.f64 1 (fma.f64 -1 (*.f64 y z) (fma.f64 -1/2 (*.f64 y y) (*.f64 1/6 (*.f64 z (pow.f64 y 3)))))) |
(+.f64 (-.f64 1 (*.f64 y z)) (fma.f64 1/6 (*.f64 z (pow.f64 y 3)) (*.f64 y (*.f64 y -1/2)))) |
(+.f64 1 (+.f64 (*.f64 y (-.f64 (*.f64 y -1/2) z)) (*.f64 z (*.f64 (pow.f64 y 3) 1/6)))) |
(+.f64 1 (fma.f64 y (*.f64 y -1/2) (*.f64 z (-.f64 (*.f64 (pow.f64 y 3) 1/6) y)))) |
(cos.f64 y) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (cos.f64 y)) |
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (cos.f64 y)) |
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (cos.f64 y)) |
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) |
(*.f64 -1 (*.f64 z (sin.f64 y))) |
(neg.f64 (*.f64 z (sin.f64 y))) |
(*.f64 z (neg.f64 (sin.f64 y))) |
(*.f64 (sin.f64 y) (neg.f64 z)) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (cos.f64 y)) |
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (cos.f64 y)) |
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (cos.f64 y)) |
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) |
(*.f64 -1 (*.f64 z (sin.f64 y))) |
(neg.f64 (*.f64 z (sin.f64 y))) |
(*.f64 z (neg.f64 (sin.f64 y))) |
(*.f64 (sin.f64 y) (neg.f64 z)) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (cos.f64 y)) |
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (cos.f64 y)) |
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (cos.f64 y)) |
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) |
Compiled 13775 to 4809 computations (65.1% saved)
24 alts after pruning (20 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 708 | 15 | 723 |
| Fresh | 8 | 5 | 13 |
| Picked | 1 | 0 | 1 |
| Done | 1 | 4 | 5 |
| Total | 718 | 24 | 742 |
| Status | Error | Program |
|---|---|---|
| ▶ | 34.8b | (-.f64 x (*.f64 y z)) |
| ✓ | 0.5b | (fma.f64 (*.f64 (neg.f64 z) (cbrt.f64 (pow.f64 (sin.f64 y) 2))) (cbrt.f64 (sin.f64 y)) (+.f64 x (cos.f64 y))) |
| 31.6b | (fma.f64 (*.f64 (neg.f64 z) (pow.f64 (sin.f64 y) 2/3)) (cbrt.f64 (sin.f64 y)) (+.f64 x (cos.f64 y))) | |
| ▶ | 39.9b | (-.f64 x (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)) (*.f64 y z))) |
| 5.1b | (fma.f64 (*.f64 (neg.f64 z) (cbrt.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 y)))))) (cbrt.f64 (sin.f64 y)) (+.f64 x (cos.f64 y))) | |
| ✓ | 23.8b | (-.f64 x -1) |
| 31.1b | (*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 z (neg.f64 (sin.f64 y)) (cos.f64 y)) 3)) (/.f64 1 (fma.f64 x x (*.f64 (fma.f64 z (neg.f64 (sin.f64 y)) (cos.f64 y)) (-.f64 (fma.f64 z (neg.f64 (sin.f64 y)) (cos.f64 y)) x))))) | |
| 19.7b | (pow.f64 (cbrt.f64 (-.f64 x (*.f64 z (sin.f64 y)))) 3) | |
| 18.6b | (+.f64 (cos.f64 y) x) | |
| ✓ | 34.3b | (-.f64 (log1p.f64 (expm1.f64 (+.f64 x (cos.f64 y)))) (*.f64 z (sin.f64 y))) |
| 14.3b | (-.f64 (+.f64 x (cos.f64 y)) (cbrt.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3))) | |
| 26.1b | (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) | |
| ▶ | 18.6b | (-.f64 (expm1.f64 (log1p.f64 (+.f64 x (cos.f64 y)))) (*.f64 z (sin.f64 y))) |
| 26.1b | (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) | |
| ▶ | 0.6b | (fma.f64 (*.f64 (neg.f64 z) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 y))) 2) 3)) (cbrt.f64 (sin.f64 y)) (+.f64 x (cos.f64 y))) |
| 44.4b | (*.f64 (sin.f64 y) (neg.f64 z)) | |
| ▶ | 42.0b | (-.f64 x (pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 2)) |
| 31.3b | (fma.f64 (*.f64 (neg.f64 z) (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y)) (+.f64 x (cos.f64 y))) | |
| 43.1b | (/.f64 1 (/.f64 (+.f64 x (*.f64 z (sin.f64 y))) (-.f64 (*.f64 x x) (pow.f64 (*.f64 z (sin.f64 y)) 2)))) | |
| 33.1b | (-.f64 x (cbrt.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3))) | |
| 22.2b | (-.f64 x (-.f64 (*.f64 y z) 1)) | |
| ✓ | 18.8b | (-.f64 x (*.f64 z (sin.f64 y))) |
| 39.6b | (pow.f64 (sqrt.f64 (-.f64 x (*.f64 z (sin.f64 y)))) 2) | |
| 36.8b | x |
Compiled 626 to 419 computations (33.1% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.5b | (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 y))) 2) |
| ✓ | 0.6b | (cbrt.f64 (cbrt.f64 (sin.f64 y))) |
| 0.7b | (cbrt.f64 (sin.f64 y)) | |
| ✓ | 0.8b | (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 y))) 2) 3) |
Compiled 69 to 28 computations (59.4% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 72.0ms | y | @ | inf | (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 y))) 2) 3) |
| 29.0ms | y | @ | -inf | (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 y))) 2) 3) |
| 7.0ms | y | @ | 0 | (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 y))) 2) 3) |
| 1.0ms | y | @ | 0 | (cbrt.f64 (cbrt.f64 (sin.f64 y))) |
| 1.0ms | y | @ | 0 | (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 y))) 2) |
| 1× | batch-egg-rewrite |
| 666× | pow1_binary64 |
| 626× | add-log-exp_binary64 |
| 625× | log1p-expm1-u_binary64 |
| 625× | expm1-log1p-u_binary64 |
| 608× | add-exp-log_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 27 |
| 1 | 188 | 25 |
| 2 | 1888 | 25 |
| 1× | node limit |
| Inputs |
|---|
(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 y))) 2) 3) |
(cbrt.f64 (cbrt.f64 (sin.f64 y))) |
(pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 y))) 2) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (pow.f64 (cbrt.f64 (sin.f64 y)) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (sin.f64 y))) (*.f64 (cbrt.f64 (cbrt.f64 (sin.f64 y))) (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 y))) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 y))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 y))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (cbrt.f64 (sin.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 y))) 4) (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 y))) 4)) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (sin.f64 y)))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 y))) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sin.f64 y)) (pow.f64 (sin.f64 y) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sin.f64 y) 1/6) (*.f64 (pow.f64 (sin.f64 y) 1/6) (cbrt.f64 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (sin.f64 y)))) 2) 6) (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (sin.f64 y)))) 6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 1/6) 6) (pow.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 1/6) 6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 y))) 4)) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 y))) 4) (cbrt.f64 (cbrt.f64 (sin.f64 y)))) (cbrt.f64 (cbrt.f64 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 y))) 4) 1) (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 y))) 4) (cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 y))) 4))) (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (sin.f64 y)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (sin.f64 y)) (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 y))) 2)) (cbrt.f64 (cbrt.f64 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (sin.f64 y) (cbrt.f64 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (sin.f64 y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (cbrt.f64 (cbrt.f64 (sin.f64 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (sin.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (cbrt.f64 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (sin.f64 y)))) (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (sin.f64 y)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (sin.f64 y)))) 2) (cbrt.f64 (cbrt.f64 (cbrt.f64 (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 1/6) (pow.f64 (cbrt.f64 (sin.f64 y)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 y))) 4))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (sin.f64 y)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (cbrt.f64 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (sin.f64 y) 1/6) 1/3) (pow.f64 (pow.f64 (sin.f64 y) 1/6) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sin.f64 y) 1/9)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sin.f64 y)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 y))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (sin.f64 y)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (cbrt.f64 (cbrt.f64 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (cbrt.f64 (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (cbrt.f64 (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (cbrt.f64 (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (cbrt.f64 (sin.f64 y))))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 y))) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (sin.f64 y))) (cbrt.f64 (cbrt.f64 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 y))) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (sin.f64 y)))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 y))) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (sin.f64 y)))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (sin.f64 y)))) (cbrt.f64 (cbrt.f64 (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 y))) 4)) (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (sin.f64 y)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 1/6) (*.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 1/6) (cbrt.f64 (cbrt.f64 (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sin.f64 y) 1/6) (pow.f64 (cbrt.f64 (sin.f64 y)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (cbrt.f64 (sin.f64 y))) (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (sin.f64 y)))) 2)) (cbrt.f64 (cbrt.f64 (cbrt.f64 (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 y))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 y))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 y))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 y))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2 (log.f64 (cbrt.f64 (cbrt.f64 (sin.f64 y)))))))))) |
| 1× | egg-herbie |
| 1476× | distribute-rgt-in_binary64 |
| 995× | fma-def_binary64 |
| 415× | distribute-lft-out_binary64 |
| 413× | associate-+l+_binary64 |
| 370× | associate-+r+_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 107 | 1329 |
| 1 | 373 | 1276 |
| 2 | 1406 | 1201 |
| 3 | 5254 | 1115 |
| 4 | 5647 | 1107 |
| 5 | 6155 | 1107 |
| 6 | 6890 | 1107 |
| 7 | 6993 | 1107 |
| 8 | 7116 | 1107 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (pow.f64 y 2) 1/3)) |
(+.f64 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (pow.f64 y 2) 1/3)) (*.f64 (pow.f64 y 2) (+.f64 (*.f64 -1/27 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (pow.f64 y 2) 1/3))) (*.f64 -2/27 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (pow.f64 y 2) 1/3)))))) |
(+.f64 (*.f64 (pow.f64 y 4) (+.f64 (*.f64 (pow.f64 (*.f64 1 (pow.f64 y 2)) 1/9) (+.f64 (*.f64 2 (*.f64 (pow.f64 (*.f64 1 (pow.f64 y 2)) 1/9) (+.f64 (*.f64 -13/14580 (pow.f64 (*.f64 1 (pow.f64 y 2)) 1/9)) (*.f64 1/2916 (pow.f64 (*.f64 1 (pow.f64 y 2)) 1/9))))) (*.f64 1/729 (pow.f64 (*.f64 1 (pow.f64 y 4)) 1/9)))) (+.f64 (*.f64 (pow.f64 (*.f64 1 (pow.f64 y 4)) 1/9) (+.f64 (*.f64 -13/14580 (pow.f64 (*.f64 1 (pow.f64 y 2)) 1/9)) (*.f64 1/2916 (pow.f64 (*.f64 1 (pow.f64 y 2)) 1/9)))) (*.f64 2/729 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (pow.f64 y 2) 1/3)))))) (+.f64 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (pow.f64 y 2) 1/3)) (*.f64 (pow.f64 y 2) (+.f64 (*.f64 -1/27 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (pow.f64 y 2) 1/3))) (*.f64 -2/27 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (pow.f64 y 2) 1/3))))))) |
(+.f64 (*.f64 (pow.f64 y 4) (+.f64 (*.f64 (pow.f64 (*.f64 1 (pow.f64 y 2)) 1/9) (+.f64 (*.f64 2 (*.f64 (pow.f64 (*.f64 1 (pow.f64 y 2)) 1/9) (+.f64 (*.f64 -13/14580 (pow.f64 (*.f64 1 (pow.f64 y 2)) 1/9)) (*.f64 1/2916 (pow.f64 (*.f64 1 (pow.f64 y 2)) 1/9))))) (*.f64 1/729 (pow.f64 (*.f64 1 (pow.f64 y 4)) 1/9)))) (+.f64 (*.f64 (pow.f64 (*.f64 1 (pow.f64 y 4)) 1/9) (+.f64 (*.f64 -13/14580 (pow.f64 (*.f64 1 (pow.f64 y 2)) 1/9)) (*.f64 1/2916 (pow.f64 (*.f64 1 (pow.f64 y 2)) 1/9)))) (*.f64 2/729 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (pow.f64 y 2) 1/3)))))) (+.f64 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (pow.f64 y 2) 1/3)) (+.f64 (*.f64 (pow.f64 y 2) (+.f64 (*.f64 -1/27 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (pow.f64 y 2) 1/3))) (*.f64 -2/27 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (pow.f64 y 2) 1/3))))) (*.f64 (pow.f64 y 6) (+.f64 (*.f64 -2/27 (*.f64 (pow.f64 (*.f64 1 (pow.f64 y 4)) 1/9) (+.f64 (*.f64 -13/14580 (pow.f64 (*.f64 1 (pow.f64 y 2)) 1/9)) (*.f64 1/2916 (pow.f64 (*.f64 1 (pow.f64 y 2)) 1/9))))) (+.f64 (*.f64 (pow.f64 (*.f64 1 (pow.f64 y 2)) 1/9) (+.f64 (*.f64 -2/27 (*.f64 (pow.f64 (*.f64 1 (pow.f64 y 2)) 1/9) (+.f64 (*.f64 -13/14580 (pow.f64 (*.f64 1 (pow.f64 y 2)) 1/9)) (*.f64 1/2916 (pow.f64 (*.f64 1 (pow.f64 y 2)) 1/9))))) (*.f64 2 (*.f64 (pow.f64 (*.f64 1 (pow.f64 y 2)) 1/9) (+.f64 (*.f64 13/787320 (pow.f64 (*.f64 1 (pow.f64 y 2)) 1/9)) (*.f64 -953/16533720 (pow.f64 (*.f64 1 (pow.f64 y 2)) 1/9))))))) (+.f64 (*.f64 (pow.f64 (*.f64 1 (pow.f64 y 4)) 1/9) (+.f64 (*.f64 13/787320 (pow.f64 (*.f64 1 (pow.f64 y 2)) 1/9)) (*.f64 -953/16533720 (pow.f64 (*.f64 1 (pow.f64 y 2)) 1/9)))) (*.f64 -1/27 (*.f64 (pow.f64 (*.f64 1 (pow.f64 y 2)) 1/9) (+.f64 (*.f64 2 (*.f64 (pow.f64 (*.f64 1 (pow.f64 y 2)) 1/9) (+.f64 (*.f64 -13/14580 (pow.f64 (*.f64 1 (pow.f64 y 2)) 1/9)) (*.f64 1/2916 (pow.f64 (*.f64 1 (pow.f64 y 2)) 1/9))))) (*.f64 1/729 (pow.f64 (*.f64 1 (pow.f64 y 4)) 1/9)))))))))))) |
(*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (pow.f64 (sin.f64 y) 2) 1/3)) |
(*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (pow.f64 (sin.f64 y) 2) 1/3)) |
(*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (pow.f64 (sin.f64 y) 2) 1/3)) |
(*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (pow.f64 (sin.f64 y) 2) 1/3)) |
(*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (pow.f64 (sin.f64 y) 2) 1/3)) |
(*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (pow.f64 (sin.f64 y) 2) 1/3)) |
(*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (pow.f64 (sin.f64 y) 2) 1/3)) |
(*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (pow.f64 (sin.f64 y) 2) 1/3)) |
(pow.f64 y 1/9) |
(+.f64 (*.f64 -1/54 (pow.f64 (*.f64 1 (pow.f64 y 19)) 1/9)) (pow.f64 y 1/9)) |
(+.f64 (*.f64 -1/54 (pow.f64 (*.f64 1 (pow.f64 y 19)) 1/9)) (+.f64 (pow.f64 y 1/9) (*.f64 -13/29160 (pow.f64 (*.f64 1 (pow.f64 y 37)) 1/9)))) |
(+.f64 (*.f64 -1/54 (pow.f64 (*.f64 1 (pow.f64 y 19)) 1/9)) (+.f64 (*.f64 -953/33067440 (pow.f64 (*.f64 1 (pow.f64 y 55)) 1/9)) (+.f64 (pow.f64 y 1/9) (*.f64 -13/29160 (pow.f64 (*.f64 1 (pow.f64 y 37)) 1/9))))) |
(pow.f64 (sin.f64 y) 1/9) |
(pow.f64 (sin.f64 y) 1/9) |
(pow.f64 (sin.f64 y) 1/9) |
(pow.f64 (sin.f64 y) 1/9) |
(pow.f64 (sin.f64 y) 1/9) |
(pow.f64 (sin.f64 y) 1/9) |
(pow.f64 (sin.f64 y) 1/9) |
(pow.f64 (sin.f64 y) 1/9) |
(pow.f64 (pow.f64 y 2) 1/9) |
(+.f64 (pow.f64 (pow.f64 y 2) 1/9) (*.f64 -1/27 (pow.f64 (*.f64 1 (pow.f64 y 20)) 1/9))) |
(+.f64 (*.f64 (+.f64 (*.f64 -13/14580 (pow.f64 (*.f64 1 (pow.f64 y 2)) 1/9)) (*.f64 1/2916 (pow.f64 (*.f64 1 (pow.f64 y 2)) 1/9))) (pow.f64 y 4)) (+.f64 (pow.f64 (pow.f64 y 2) 1/9) (*.f64 -1/27 (pow.f64 (*.f64 1 (pow.f64 y 20)) 1/9)))) |
(+.f64 (*.f64 (+.f64 (*.f64 -13/14580 (pow.f64 (*.f64 1 (pow.f64 y 2)) 1/9)) (*.f64 1/2916 (pow.f64 (*.f64 1 (pow.f64 y 2)) 1/9))) (pow.f64 y 4)) (+.f64 (pow.f64 (pow.f64 y 2) 1/9) (+.f64 (*.f64 (pow.f64 y 6) (+.f64 (*.f64 13/787320 (pow.f64 (*.f64 1 (pow.f64 y 2)) 1/9)) (*.f64 -953/16533720 (pow.f64 (*.f64 1 (pow.f64 y 2)) 1/9)))) (*.f64 -1/27 (pow.f64 (*.f64 1 (pow.f64 y 20)) 1/9))))) |
(pow.f64 (pow.f64 (sin.f64 y) 2) 1/9) |
(pow.f64 (pow.f64 (sin.f64 y) 2) 1/9) |
(pow.f64 (pow.f64 (sin.f64 y) 2) 1/9) |
(pow.f64 (pow.f64 (sin.f64 y) 2) 1/9) |
(pow.f64 (pow.f64 (sin.f64 y) 2) 1/9) |
(pow.f64 (pow.f64 (sin.f64 y) 2) 1/9) |
(pow.f64 (pow.f64 (sin.f64 y) 2) 1/9) |
(pow.f64 (pow.f64 (sin.f64 y) 2) 1/9) |
| Outputs |
|---|
(*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (pow.f64 y 2) 1/3)) |
(*.f64 1 (cbrt.f64 (*.f64 y y))) |
(cbrt.f64 (*.f64 y y)) |
(+.f64 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (pow.f64 y 2) 1/3)) (*.f64 (pow.f64 y 2) (+.f64 (*.f64 -1/27 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (pow.f64 y 2) 1/3))) (*.f64 -2/27 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (pow.f64 y 2) 1/3)))))) |
(fma.f64 1 (cbrt.f64 (*.f64 y y)) (*.f64 (*.f64 y y) (*.f64 (*.f64 1 (cbrt.f64 (*.f64 y y))) -1/9))) |
(fma.f64 (*.f64 y y) (*.f64 (cbrt.f64 (*.f64 y y)) -1/9) (cbrt.f64 (*.f64 y y))) |
(*.f64 (cbrt.f64 (*.f64 y y)) (+.f64 1 (*.f64 (*.f64 y y) -1/9))) |
(+.f64 (*.f64 (pow.f64 y 4) (+.f64 (*.f64 (pow.f64 (*.f64 1 (pow.f64 y 2)) 1/9) (+.f64 (*.f64 2 (*.f64 (pow.f64 (*.f64 1 (pow.f64 y 2)) 1/9) (+.f64 (*.f64 -13/14580 (pow.f64 (*.f64 1 (pow.f64 y 2)) 1/9)) (*.f64 1/2916 (pow.f64 (*.f64 1 (pow.f64 y 2)) 1/9))))) (*.f64 1/729 (pow.f64 (*.f64 1 (pow.f64 y 4)) 1/9)))) (+.f64 (*.f64 (pow.f64 (*.f64 1 (pow.f64 y 4)) 1/9) (+.f64 (*.f64 -13/14580 (pow.f64 (*.f64 1 (pow.f64 y 2)) 1/9)) (*.f64 1/2916 (pow.f64 (*.f64 1 (pow.f64 y 2)) 1/9)))) (*.f64 2/729 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (pow.f64 y 2) 1/3)))))) (+.f64 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (pow.f64 y 2) 1/3)) (*.f64 (pow.f64 y 2) (+.f64 (*.f64 -1/27 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (pow.f64 y 2) 1/3))) (*.f64 -2/27 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (pow.f64 y 2) 1/3))))))) |
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(fma.f64 (pow.f64 y 4) (fma.f64 (cbrt.f64 (*.f64 y y)) 2/729 (*.f64 (*.f64 (pow.f64 (*.f64 y y) 1/18) (pow.f64 (*.f64 y y) 1/18)) (+.f64 (*.f64 2 (*.f64 (*.f64 (pow.f64 (*.f64 y y) 1/18) (pow.f64 (*.f64 y y) 1/18)) (*.f64 (*.f64 (pow.f64 (*.f64 y y) 1/18) (pow.f64 (*.f64 y y) 1/18)) -2/3645))) (*.f64 (*.f64 (pow.f64 (pow.f64 y 4) 1/18) (pow.f64 (pow.f64 y 4) 1/18)) 1/1215)))) (fma.f64 (pow.f64 y 6) (fma.f64 -2/27 (*.f64 (*.f64 (pow.f64 (*.f64 y y) 1/18) (pow.f64 (*.f64 y y) 1/18)) (*.f64 (*.f64 (pow.f64 (pow.f64 y 4) 1/18) (pow.f64 (pow.f64 y 4) 1/18)) -2/3645)) (*.f64 (*.f64 (pow.f64 (*.f64 y y) 1/18) (pow.f64 (*.f64 y y) 1/18)) (+.f64 (*.f64 (*.f64 (pow.f64 (pow.f64 y 4) 1/18) (pow.f64 (pow.f64 y 4) 1/18)) -17/413343) (+.f64 (*.f64 -1/27 (fma.f64 (*.f64 (*.f64 (pow.f64 (*.f64 y y) 1/18) (pow.f64 (*.f64 y y) 1/18)) -2/3645) (*.f64 2 (*.f64 (pow.f64 (*.f64 y y) 1/18) (pow.f64 (*.f64 y y) 1/18))) (*.f64 1/729 (*.f64 (pow.f64 (pow.f64 y 4) 1/18) (pow.f64 (pow.f64 y 4) 1/18))))) (*.f64 (*.f64 (pow.f64 (*.f64 y y) 1/18) (pow.f64 (*.f64 y y) 1/18)) (+.f64 (*.f64 -2/27 (*.f64 (*.f64 (pow.f64 (*.f64 y y) 1/18) (pow.f64 (*.f64 y y) 1/18)) -2/3645)) (*.f64 2 (*.f64 (*.f64 (pow.f64 (*.f64 y y) 1/18) (pow.f64 (*.f64 y y) 1/18)) -17/413343)))))))) (*.f64 (cbrt.f64 (*.f64 y y)) (+.f64 1 (*.f64 (*.f64 y y) -1/9))))) |
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(*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (pow.f64 (sin.f64 y) 2) 1/3)) |
(*.f64 1 (cbrt.f64 (pow.f64 (sin.f64 y) 2))) |
(cbrt.f64 (pow.f64 (sin.f64 y) 2)) |
(*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (pow.f64 (sin.f64 y) 2) 1/3)) |
(*.f64 1 (cbrt.f64 (pow.f64 (sin.f64 y) 2))) |
(cbrt.f64 (pow.f64 (sin.f64 y) 2)) |
(pow.f64 y 1/9) |
(*.f64 (pow.f64 y 1/18) (pow.f64 y 1/18)) |
(+.f64 (*.f64 -1/54 (pow.f64 (*.f64 1 (pow.f64 y 19)) 1/9)) (pow.f64 y 1/9)) |
(fma.f64 -1/54 (*.f64 (pow.f64 (pow.f64 y 19) 1/18) (pow.f64 (pow.f64 y 19) 1/18)) (*.f64 (pow.f64 y 1/18) (pow.f64 y 1/18))) |
(+.f64 (*.f64 -1/54 (pow.f64 (*.f64 1 (pow.f64 y 19)) 1/9)) (+.f64 (pow.f64 y 1/9) (*.f64 -13/29160 (pow.f64 (*.f64 1 (pow.f64 y 37)) 1/9)))) |
(+.f64 (fma.f64 -1/54 (*.f64 (pow.f64 (pow.f64 y 19) 1/18) (pow.f64 (pow.f64 y 19) 1/18)) (*.f64 (pow.f64 y 1/18) (pow.f64 y 1/18))) (*.f64 -13/29160 (*.f64 (pow.f64 (pow.f64 y 37) 1/18) (pow.f64 (pow.f64 y 37) 1/18)))) |
(fma.f64 -1/54 (*.f64 (pow.f64 (pow.f64 y 19) 1/18) (pow.f64 (pow.f64 y 19) 1/18)) (fma.f64 -13/29160 (*.f64 (pow.f64 (pow.f64 y 37) 1/18) (pow.f64 (pow.f64 y 37) 1/18)) (*.f64 (pow.f64 y 1/18) (pow.f64 y 1/18)))) |
(fma.f64 -1/54 (*.f64 (pow.f64 (pow.f64 y 19) 1/18) (pow.f64 (pow.f64 y 19) 1/18)) (fma.f64 (pow.f64 (pow.f64 y 37) 1/18) (*.f64 -13/29160 (pow.f64 (pow.f64 y 37) 1/18)) (*.f64 (pow.f64 y 1/18) (pow.f64 y 1/18)))) |
(+.f64 (*.f64 -1/54 (pow.f64 (*.f64 1 (pow.f64 y 19)) 1/9)) (+.f64 (*.f64 -953/33067440 (pow.f64 (*.f64 1 (pow.f64 y 55)) 1/9)) (+.f64 (pow.f64 y 1/9) (*.f64 -13/29160 (pow.f64 (*.f64 1 (pow.f64 y 37)) 1/9))))) |
(fma.f64 -1/54 (*.f64 (pow.f64 (pow.f64 y 19) 1/18) (pow.f64 (pow.f64 y 19) 1/18)) (fma.f64 -953/33067440 (*.f64 (pow.f64 (pow.f64 y 55) 1/18) (pow.f64 (pow.f64 y 55) 1/18)) (+.f64 (*.f64 (pow.f64 y 1/18) (pow.f64 y 1/18)) (*.f64 -13/29160 (*.f64 (pow.f64 (pow.f64 y 37) 1/18) (pow.f64 (pow.f64 y 37) 1/18)))))) |
(fma.f64 -1/54 (*.f64 (pow.f64 (pow.f64 y 19) 1/18) (pow.f64 (pow.f64 y 19) 1/18)) (fma.f64 -953/33067440 (*.f64 (pow.f64 (pow.f64 y 55) 1/18) (pow.f64 (pow.f64 y 55) 1/18)) (fma.f64 -13/29160 (*.f64 (pow.f64 (pow.f64 y 37) 1/18) (pow.f64 (pow.f64 y 37) 1/18)) (*.f64 (pow.f64 y 1/18) (pow.f64 y 1/18))))) |
(fma.f64 -1/54 (*.f64 (pow.f64 (pow.f64 y 19) 1/18) (pow.f64 (pow.f64 y 19) 1/18)) (fma.f64 -13/29160 (*.f64 (pow.f64 (pow.f64 y 37) 1/18) (pow.f64 (pow.f64 y 37) 1/18)) (fma.f64 -953/33067440 (*.f64 (pow.f64 (pow.f64 y 55) 1/18) (pow.f64 (pow.f64 y 55) 1/18)) (*.f64 (pow.f64 y 1/18) (pow.f64 y 1/18))))) |
(fma.f64 (pow.f64 (pow.f64 y 19) 1/18) (*.f64 -1/54 (pow.f64 (pow.f64 y 19) 1/18)) (fma.f64 -13/29160 (*.f64 (pow.f64 (pow.f64 y 37) 1/18) (pow.f64 (pow.f64 y 37) 1/18)) (fma.f64 -953/33067440 (*.f64 (pow.f64 (pow.f64 y 55) 1/18) (pow.f64 (pow.f64 y 55) 1/18)) (*.f64 (pow.f64 y 1/18) (pow.f64 y 1/18))))) |
(pow.f64 (sin.f64 y) 1/9) |
(*.f64 (pow.f64 (sin.f64 y) 1/18) (pow.f64 (sin.f64 y) 1/18)) |
(pow.f64 (sin.f64 y) 1/9) |
(*.f64 (pow.f64 (sin.f64 y) 1/18) (pow.f64 (sin.f64 y) 1/18)) |
(pow.f64 (sin.f64 y) 1/9) |
(*.f64 (pow.f64 (sin.f64 y) 1/18) (pow.f64 (sin.f64 y) 1/18)) |
(pow.f64 (sin.f64 y) 1/9) |
(*.f64 (pow.f64 (sin.f64 y) 1/18) (pow.f64 (sin.f64 y) 1/18)) |
(pow.f64 (sin.f64 y) 1/9) |
(*.f64 (pow.f64 (sin.f64 y) 1/18) (pow.f64 (sin.f64 y) 1/18)) |
(pow.f64 (sin.f64 y) 1/9) |
(*.f64 (pow.f64 (sin.f64 y) 1/18) (pow.f64 (sin.f64 y) 1/18)) |
(pow.f64 (sin.f64 y) 1/9) |
(*.f64 (pow.f64 (sin.f64 y) 1/18) (pow.f64 (sin.f64 y) 1/18)) |
(pow.f64 (sin.f64 y) 1/9) |
(*.f64 (pow.f64 (sin.f64 y) 1/18) (pow.f64 (sin.f64 y) 1/18)) |
(pow.f64 (pow.f64 y 2) 1/9) |
(*.f64 (pow.f64 (*.f64 y y) 1/18) (pow.f64 (*.f64 y y) 1/18)) |
(+.f64 (pow.f64 (pow.f64 y 2) 1/9) (*.f64 -1/27 (pow.f64 (*.f64 1 (pow.f64 y 20)) 1/9))) |
(+.f64 (*.f64 (pow.f64 (*.f64 y y) 1/18) (pow.f64 (*.f64 y y) 1/18)) (*.f64 -1/27 (*.f64 (pow.f64 (pow.f64 y 20) 1/18) (pow.f64 (pow.f64 y 20) 1/18)))) |
(fma.f64 -1/27 (*.f64 (pow.f64 (pow.f64 y 20) 1/18) (pow.f64 (pow.f64 y 20) 1/18)) (*.f64 (pow.f64 (*.f64 y y) 1/18) (pow.f64 (*.f64 y y) 1/18))) |
(+.f64 (*.f64 (+.f64 (*.f64 -13/14580 (pow.f64 (*.f64 1 (pow.f64 y 2)) 1/9)) (*.f64 1/2916 (pow.f64 (*.f64 1 (pow.f64 y 2)) 1/9))) (pow.f64 y 4)) (+.f64 (pow.f64 (pow.f64 y 2) 1/9) (*.f64 -1/27 (pow.f64 (*.f64 1 (pow.f64 y 20)) 1/9)))) |
(fma.f64 (*.f64 (*.f64 (pow.f64 (*.f64 y y) 1/18) (pow.f64 (*.f64 y y) 1/18)) -2/3645) (pow.f64 y 4) (+.f64 (*.f64 (pow.f64 (*.f64 y y) 1/18) (pow.f64 (*.f64 y y) 1/18)) (*.f64 -1/27 (*.f64 (pow.f64 (pow.f64 y 20) 1/18) (pow.f64 (pow.f64 y 20) 1/18))))) |
(fma.f64 (pow.f64 y 4) (*.f64 (*.f64 (pow.f64 (*.f64 y y) 1/18) (pow.f64 (*.f64 y y) 1/18)) -2/3645) (fma.f64 -1/27 (*.f64 (pow.f64 (pow.f64 y 20) 1/18) (pow.f64 (pow.f64 y 20) 1/18)) (*.f64 (pow.f64 (*.f64 y y) 1/18) (pow.f64 (*.f64 y y) 1/18)))) |
(fma.f64 -1/27 (*.f64 (pow.f64 (pow.f64 y 20) 1/18) (pow.f64 (pow.f64 y 20) 1/18)) (fma.f64 (*.f64 (pow.f64 (*.f64 y y) 1/18) (pow.f64 (*.f64 y y) 1/18)) (*.f64 (pow.f64 y 4) -2/3645) (*.f64 (pow.f64 (*.f64 y y) 1/18) (pow.f64 (*.f64 y y) 1/18)))) |
(fma.f64 -1/27 (*.f64 (pow.f64 (pow.f64 y 20) 1/18) (pow.f64 (pow.f64 y 20) 1/18)) (*.f64 (+.f64 (*.f64 (pow.f64 y 4) -2/3645) 1) (*.f64 (pow.f64 (*.f64 y y) 1/18) (pow.f64 (*.f64 y y) 1/18)))) |
(+.f64 (*.f64 (+.f64 (*.f64 -13/14580 (pow.f64 (*.f64 1 (pow.f64 y 2)) 1/9)) (*.f64 1/2916 (pow.f64 (*.f64 1 (pow.f64 y 2)) 1/9))) (pow.f64 y 4)) (+.f64 (pow.f64 (pow.f64 y 2) 1/9) (+.f64 (*.f64 (pow.f64 y 6) (+.f64 (*.f64 13/787320 (pow.f64 (*.f64 1 (pow.f64 y 2)) 1/9)) (*.f64 -953/16533720 (pow.f64 (*.f64 1 (pow.f64 y 2)) 1/9)))) (*.f64 -1/27 (pow.f64 (*.f64 1 (pow.f64 y 20)) 1/9))))) |
(fma.f64 (*.f64 (*.f64 (pow.f64 (*.f64 y y) 1/18) (pow.f64 (*.f64 y y) 1/18)) -2/3645) (pow.f64 y 4) (+.f64 (*.f64 (pow.f64 (*.f64 y y) 1/18) (pow.f64 (*.f64 y y) 1/18)) (fma.f64 (pow.f64 y 6) (*.f64 (*.f64 (pow.f64 (*.f64 y y) 1/18) (pow.f64 (*.f64 y y) 1/18)) -17/413343) (*.f64 -1/27 (*.f64 (pow.f64 (pow.f64 y 20) 1/18) (pow.f64 (pow.f64 y 20) 1/18)))))) |
(fma.f64 (pow.f64 y 4) (*.f64 (*.f64 (pow.f64 (*.f64 y y) 1/18) (pow.f64 (*.f64 y y) 1/18)) -2/3645) (fma.f64 (pow.f64 (*.f64 y y) 1/18) (pow.f64 (*.f64 y y) 1/18) (fma.f64 -1/27 (*.f64 (pow.f64 (pow.f64 y 20) 1/18) (pow.f64 (pow.f64 y 20) 1/18)) (*.f64 (*.f64 (pow.f64 (*.f64 y y) 1/18) (pow.f64 (*.f64 y y) 1/18)) (*.f64 -17/413343 (pow.f64 y 6)))))) |
(fma.f64 (pow.f64 y 4) (*.f64 (*.f64 (pow.f64 (*.f64 y y) 1/18) (pow.f64 (*.f64 y y) 1/18)) -2/3645) (fma.f64 (*.f64 (pow.f64 (*.f64 y y) 1/18) (pow.f64 (*.f64 y y) 1/18)) (*.f64 (pow.f64 y 6) -17/413343) (fma.f64 -1/27 (*.f64 (pow.f64 (pow.f64 y 20) 1/18) (pow.f64 (pow.f64 y 20) 1/18)) (*.f64 (pow.f64 (*.f64 y y) 1/18) (pow.f64 (*.f64 y y) 1/18))))) |
(fma.f64 (*.f64 (pow.f64 (*.f64 y y) 19/18) (pow.f64 (*.f64 y y) 19/18)) -2/3645 (fma.f64 -1/27 (*.f64 (pow.f64 (pow.f64 y 20) 1/18) (pow.f64 (pow.f64 y 20) 1/18)) (*.f64 (+.f64 (*.f64 (pow.f64 y 6) -17/413343) 1) (*.f64 (pow.f64 (*.f64 y y) 1/18) (pow.f64 (*.f64 y y) 1/18))))) |
(+.f64 (*.f64 -1/27 (*.f64 (pow.f64 (pow.f64 y 20) 1/18) (pow.f64 (pow.f64 y 20) 1/18))) (*.f64 (*.f64 (pow.f64 (*.f64 y y) 1/18) (pow.f64 (*.f64 y y) 1/18)) (+.f64 (*.f64 (pow.f64 y 4) -2/3645) (+.f64 (*.f64 (pow.f64 y 6) -17/413343) 1)))) |
(pow.f64 (pow.f64 (sin.f64 y) 2) 1/9) |
(*.f64 (pow.f64 (pow.f64 (sin.f64 y) 2) 1/18) (pow.f64 (pow.f64 (sin.f64 y) 2) 1/18)) |
(pow.f64 (pow.f64 (sin.f64 y) 2) 1/9) |
(*.f64 (pow.f64 (pow.f64 (sin.f64 y) 2) 1/18) (pow.f64 (pow.f64 (sin.f64 y) 2) 1/18)) |
(pow.f64 (pow.f64 (sin.f64 y) 2) 1/9) |
(*.f64 (pow.f64 (pow.f64 (sin.f64 y) 2) 1/18) (pow.f64 (pow.f64 (sin.f64 y) 2) 1/18)) |
(pow.f64 (pow.f64 (sin.f64 y) 2) 1/9) |
(*.f64 (pow.f64 (pow.f64 (sin.f64 y) 2) 1/18) (pow.f64 (pow.f64 (sin.f64 y) 2) 1/18)) |
(pow.f64 (pow.f64 (sin.f64 y) 2) 1/9) |
(*.f64 (pow.f64 (pow.f64 (sin.f64 y) 2) 1/18) (pow.f64 (pow.f64 (sin.f64 y) 2) 1/18)) |
(pow.f64 (pow.f64 (sin.f64 y) 2) 1/9) |
(*.f64 (pow.f64 (pow.f64 (sin.f64 y) 2) 1/18) (pow.f64 (pow.f64 (sin.f64 y) 2) 1/18)) |
(pow.f64 (pow.f64 (sin.f64 y) 2) 1/9) |
(*.f64 (pow.f64 (pow.f64 (sin.f64 y) 2) 1/18) (pow.f64 (pow.f64 (sin.f64 y) 2) 1/18)) |
(pow.f64 (pow.f64 (sin.f64 y) 2) 1/9) |
(*.f64 (pow.f64 (pow.f64 (sin.f64 y) 2) 1/18) (pow.f64 (pow.f64 (sin.f64 y) 2) 1/18)) |
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 | |
|---|---|---|---|---|
| 2.0ms | z | @ | 0 | (-.f64 x (*.f64 y z)) |
| 1.0ms | y | @ | inf | (-.f64 x (*.f64 y z)) |
| 1.0ms | x | @ | 0 | (-.f64 x (*.f64 y z)) |
| 1.0ms | z | @ | inf | (-.f64 x (*.f64 y z)) |
| 1.0ms | z | @ | -inf | (-.f64 x (*.f64 y z)) |
| 1× | batch-egg-rewrite |
| 738× | pow1_binary64 |
| 684× | add-log-exp_binary64 |
| 684× | log1p-expm1-u_binary64 |
| 684× | expm1-log1p-u_binary64 |
| 669× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 7 |
| 1 | 132 | 7 |
| 2 | 1860 | 7 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 x (*.f64 y z)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 z (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 (*.f64 z (neg.f64 y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (*.f64 y z)) (fma.f64 (neg.f64 z) y (*.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (*.f64 y z)) (fma.f64 (neg.f64 y) z (*.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (*.f64 y z)) (fma.f64 (*.f64 z (neg.f64 y)) 1 (*.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (*.f64 y z)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 y z))) (pow.f64 (cbrt.f64 (*.f64 y z)) 2) (*.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (*.f64 y z)) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 y z))) (sqrt.f64 (*.f64 y z)) (*.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 z (neg.f64 y)) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 x (*.f64 y z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 x (*.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 x (*.f64 y z))) (pow.f64 (cbrt.f64 (-.f64 x (*.f64 y z))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 x (*.f64 y z))) 2) (cbrt.f64 (-.f64 x (*.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 x (*.f64 y z))) (sqrt.f64 (-.f64 x (*.f64 y z))))))) (#(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 x (*.f64 y z))))))))) (#(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 (+.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 y z))) (-.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x x (*.f64 (*.f64 y z) (+.f64 x (*.f64 y z)))) (-.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 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 x (*.f64 y z))))))))) (#(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 x 3) (pow.f64 (*.f64 z (neg.f64 y)) 3)) (+.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 z (neg.f64 y)) (*.f64 z (neg.f64 y))) (*.f64 x (*.f64 z (neg.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 z (neg.f64 y)) (*.f64 z (neg.f64 y)))) (-.f64 x (*.f64 z (neg.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 x (*.f64 y z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 x (*.f64 y z)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 x (*.f64 y z))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 x (*.f64 y z))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 x (*.f64 y z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 x (*.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 x (*.f64 y z)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 x (*.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 x (*.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 x (*.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (*.f64 z (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 z (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 z (neg.f64 y))))))) |
| 1× | egg-herbie |
| 101× | fma-def_binary64 |
| 56× | fma-neg_binary64 |
| 27× | cancel-sign-sub-inv_binary64 |
| 17× | sub-neg_binary64 |
| 13× | distribute-rgt-neg-in_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 250 |
| 1 | 15 | 223 |
| 2 | 31 | 223 |
| 3 | 44 | 223 |
| 4 | 56 | 223 |
| 5 | 87 | 223 |
| 6 | 147 | 223 |
| 7 | 194 | 223 |
| 8 | 252 | 223 |
| 9 | 339 | 223 |
| 10 | 389 | 223 |
| 11 | 395 | 223 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 -1 (*.f64 y z)) |
(+.f64 (*.f64 -1 (*.f64 y z)) x) |
(+.f64 (*.f64 -1 (*.f64 y z)) x) |
(+.f64 (*.f64 -1 (*.f64 y z)) x) |
x |
(+.f64 (*.f64 -1 (*.f64 y z)) x) |
(+.f64 (*.f64 -1 (*.f64 y z)) x) |
(+.f64 (*.f64 -1 (*.f64 y z)) x) |
x |
(+.f64 (*.f64 -1 (*.f64 y z)) x) |
(+.f64 (*.f64 -1 (*.f64 y z)) x) |
(+.f64 (*.f64 -1 (*.f64 y z)) x) |
x |
(+.f64 (*.f64 -1 (*.f64 y z)) x) |
(+.f64 (*.f64 -1 (*.f64 y z)) x) |
(+.f64 (*.f64 -1 (*.f64 y z)) x) |
(*.f64 -1 (*.f64 y z)) |
(+.f64 (*.f64 -1 (*.f64 y z)) x) |
(+.f64 (*.f64 -1 (*.f64 y z)) x) |
(+.f64 (*.f64 -1 (*.f64 y z)) x) |
(*.f64 -1 (*.f64 y z)) |
(+.f64 (*.f64 -1 (*.f64 y z)) x) |
(+.f64 (*.f64 -1 (*.f64 y z)) x) |
(+.f64 (*.f64 -1 (*.f64 y z)) x) |
x |
(+.f64 (*.f64 -1 (*.f64 y z)) x) |
(+.f64 (*.f64 -1 (*.f64 y z)) x) |
(+.f64 (*.f64 -1 (*.f64 y z)) x) |
(*.f64 -1 (*.f64 y z)) |
(+.f64 (*.f64 -1 (*.f64 y z)) x) |
(+.f64 (*.f64 -1 (*.f64 y z)) x) |
(+.f64 (*.f64 -1 (*.f64 y z)) x) |
(*.f64 -1 (*.f64 y z)) |
(+.f64 (*.f64 -1 (*.f64 y z)) x) |
(+.f64 (*.f64 -1 (*.f64 y z)) x) |
(+.f64 (*.f64 -1 (*.f64 y z)) x) |
| Outputs |
|---|
(*.f64 -1 (*.f64 y z)) |
(neg.f64 (*.f64 y z)) |
(*.f64 z (neg.f64 y)) |
(*.f64 y (neg.f64 z)) |
(+.f64 (*.f64 -1 (*.f64 y z)) x) |
(fma.f64 -1 (*.f64 y z) x) |
(fma.f64 (neg.f64 y) z x) |
(fma.f64 z (neg.f64 y) x) |
(-.f64 x (*.f64 y z)) |
(+.f64 (*.f64 -1 (*.f64 y z)) x) |
(fma.f64 -1 (*.f64 y z) x) |
(fma.f64 (neg.f64 y) z x) |
(fma.f64 z (neg.f64 y) x) |
(-.f64 x (*.f64 y z)) |
(+.f64 (*.f64 -1 (*.f64 y z)) x) |
(fma.f64 -1 (*.f64 y z) x) |
(fma.f64 (neg.f64 y) z x) |
(fma.f64 z (neg.f64 y) x) |
(-.f64 x (*.f64 y z)) |
x |
(+.f64 (*.f64 -1 (*.f64 y z)) x) |
(fma.f64 -1 (*.f64 y z) x) |
(fma.f64 (neg.f64 y) z x) |
(fma.f64 z (neg.f64 y) x) |
(-.f64 x (*.f64 y z)) |
(+.f64 (*.f64 -1 (*.f64 y z)) x) |
(fma.f64 -1 (*.f64 y z) x) |
(fma.f64 (neg.f64 y) z x) |
(fma.f64 z (neg.f64 y) x) |
(-.f64 x (*.f64 y z)) |
(+.f64 (*.f64 -1 (*.f64 y z)) x) |
(fma.f64 -1 (*.f64 y z) x) |
(fma.f64 (neg.f64 y) z x) |
(fma.f64 z (neg.f64 y) x) |
(-.f64 x (*.f64 y z)) |
x |
(+.f64 (*.f64 -1 (*.f64 y z)) x) |
(fma.f64 -1 (*.f64 y z) x) |
(fma.f64 (neg.f64 y) z x) |
(fma.f64 z (neg.f64 y) x) |
(-.f64 x (*.f64 y z)) |
(+.f64 (*.f64 -1 (*.f64 y z)) x) |
(fma.f64 -1 (*.f64 y z) x) |
(fma.f64 (neg.f64 y) z x) |
(fma.f64 z (neg.f64 y) x) |
(-.f64 x (*.f64 y z)) |
(+.f64 (*.f64 -1 (*.f64 y z)) x) |
(fma.f64 -1 (*.f64 y z) x) |
(fma.f64 (neg.f64 y) z x) |
(fma.f64 z (neg.f64 y) x) |
(-.f64 x (*.f64 y z)) |
x |
(+.f64 (*.f64 -1 (*.f64 y z)) x) |
(fma.f64 -1 (*.f64 y z) x) |
(fma.f64 (neg.f64 y) z x) |
(fma.f64 z (neg.f64 y) x) |
(-.f64 x (*.f64 y z)) |
(+.f64 (*.f64 -1 (*.f64 y z)) x) |
(fma.f64 -1 (*.f64 y z) x) |
(fma.f64 (neg.f64 y) z x) |
(fma.f64 z (neg.f64 y) x) |
(-.f64 x (*.f64 y z)) |
(+.f64 (*.f64 -1 (*.f64 y z)) x) |
(fma.f64 -1 (*.f64 y z) x) |
(fma.f64 (neg.f64 y) z x) |
(fma.f64 z (neg.f64 y) x) |
(-.f64 x (*.f64 y z)) |
(*.f64 -1 (*.f64 y z)) |
(neg.f64 (*.f64 y z)) |
(*.f64 z (neg.f64 y)) |
(*.f64 y (neg.f64 z)) |
(+.f64 (*.f64 -1 (*.f64 y z)) x) |
(fma.f64 -1 (*.f64 y z) x) |
(fma.f64 (neg.f64 y) z x) |
(fma.f64 z (neg.f64 y) x) |
(-.f64 x (*.f64 y z)) |
(+.f64 (*.f64 -1 (*.f64 y z)) x) |
(fma.f64 -1 (*.f64 y z) x) |
(fma.f64 (neg.f64 y) z x) |
(fma.f64 z (neg.f64 y) x) |
(-.f64 x (*.f64 y z)) |
(+.f64 (*.f64 -1 (*.f64 y z)) x) |
(fma.f64 -1 (*.f64 y z) x) |
(fma.f64 (neg.f64 y) z x) |
(fma.f64 z (neg.f64 y) x) |
(-.f64 x (*.f64 y z)) |
(*.f64 -1 (*.f64 y z)) |
(neg.f64 (*.f64 y z)) |
(*.f64 z (neg.f64 y)) |
(*.f64 y (neg.f64 z)) |
(+.f64 (*.f64 -1 (*.f64 y z)) x) |
(fma.f64 -1 (*.f64 y z) x) |
(fma.f64 (neg.f64 y) z x) |
(fma.f64 z (neg.f64 y) x) |
(-.f64 x (*.f64 y z)) |
(+.f64 (*.f64 -1 (*.f64 y z)) x) |
(fma.f64 -1 (*.f64 y z) x) |
(fma.f64 (neg.f64 y) z x) |
(fma.f64 z (neg.f64 y) x) |
(-.f64 x (*.f64 y z)) |
(+.f64 (*.f64 -1 (*.f64 y z)) x) |
(fma.f64 -1 (*.f64 y z) x) |
(fma.f64 (neg.f64 y) z x) |
(fma.f64 z (neg.f64 y) x) |
(-.f64 x (*.f64 y z)) |
x |
(+.f64 (*.f64 -1 (*.f64 y z)) x) |
(fma.f64 -1 (*.f64 y z) x) |
(fma.f64 (neg.f64 y) z x) |
(fma.f64 z (neg.f64 y) x) |
(-.f64 x (*.f64 y z)) |
(+.f64 (*.f64 -1 (*.f64 y z)) x) |
(fma.f64 -1 (*.f64 y z) x) |
(fma.f64 (neg.f64 y) z x) |
(fma.f64 z (neg.f64 y) x) |
(-.f64 x (*.f64 y z)) |
(+.f64 (*.f64 -1 (*.f64 y z)) x) |
(fma.f64 -1 (*.f64 y z) x) |
(fma.f64 (neg.f64 y) z x) |
(fma.f64 z (neg.f64 y) x) |
(-.f64 x (*.f64 y z)) |
(*.f64 -1 (*.f64 y z)) |
(neg.f64 (*.f64 y z)) |
(*.f64 z (neg.f64 y)) |
(*.f64 y (neg.f64 z)) |
(+.f64 (*.f64 -1 (*.f64 y z)) x) |
(fma.f64 -1 (*.f64 y z) x) |
(fma.f64 (neg.f64 y) z x) |
(fma.f64 z (neg.f64 y) x) |
(-.f64 x (*.f64 y z)) |
(+.f64 (*.f64 -1 (*.f64 y z)) x) |
(fma.f64 -1 (*.f64 y z) x) |
(fma.f64 (neg.f64 y) z x) |
(fma.f64 z (neg.f64 y) x) |
(-.f64 x (*.f64 y z)) |
(+.f64 (*.f64 -1 (*.f64 y z)) x) |
(fma.f64 -1 (*.f64 y z) x) |
(fma.f64 (neg.f64 y) z x) |
(fma.f64 z (neg.f64 y) x) |
(-.f64 x (*.f64 y z)) |
(*.f64 -1 (*.f64 y z)) |
(neg.f64 (*.f64 y z)) |
(*.f64 z (neg.f64 y)) |
(*.f64 y (neg.f64 z)) |
(+.f64 (*.f64 -1 (*.f64 y z)) x) |
(fma.f64 -1 (*.f64 y z) x) |
(fma.f64 (neg.f64 y) z x) |
(fma.f64 z (neg.f64 y) x) |
(-.f64 x (*.f64 y z)) |
(+.f64 (*.f64 -1 (*.f64 y z)) x) |
(fma.f64 -1 (*.f64 y z) x) |
(fma.f64 (neg.f64 y) z x) |
(fma.f64 z (neg.f64 y) x) |
(-.f64 x (*.f64 y z)) |
(+.f64 (*.f64 -1 (*.f64 y z)) x) |
(fma.f64 -1 (*.f64 y z) x) |
(fma.f64 (neg.f64 y) z x) |
(fma.f64 z (neg.f64 y) x) |
(-.f64 x (*.f64 y z)) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (-.f64 x (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)) (*.f64 y z))) |
| ✓ | 0.1b | (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)) |
| ✓ | 4.1b | (*.f64 (pow.f64 y 3) z) |
| ✓ | 6.7b | (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)) (*.f64 y z)) |
Compiled 50 to 29 computations (42% saved)
27 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | inf | (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)) |
| 1.0ms | z | @ | 0 | (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)) (*.f64 y z)) |
| 1.0ms | z | @ | inf | (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)) (*.f64 y z)) |
| 1.0ms | y | @ | 0 | (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)) (*.f64 y z)) |
| 1.0ms | x | @ | 0 | (-.f64 x (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)) (*.f64 y z))) |
| 1× | batch-egg-rewrite |
| 670× | fma-def_binary64 |
| 661× | log-prod_binary64 |
| 346× | pow2_binary64 |
| 281× | fma-neg_binary64 |
| 237× | pow1/3_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 48 |
| 1 | 273 | 46 |
| 2 | 3732 | 42 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)) (*.f64 y z)) |
(*.f64 (pow.f64 y 3) z) |
(*.f64 -1/6 (*.f64 (pow.f64 y 3) z)) |
(-.f64 x (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)) (*.f64 y z))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 z (fma.f64 -1/6 (pow.f64 y 3) y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 1/36 (*.f64 (pow.f64 y 6) (*.f64 z z))) (*.f64 z (-.f64 (*.f64 -1/6 (pow.f64 y 3)) y))) (/.f64 (pow.f64 (*.f64 y z) 2) (*.f64 z (-.f64 (*.f64 -1/6 (pow.f64 y 3)) y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 z (fma.f64 -1/6 (pow.f64 y 3) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 z (+.f64 y (*.f64 -1/6 (pow.f64 y 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 z (fma.f64 -1/6 (pow.f64 y 3) y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 z (fma.f64 -1/6 (pow.f64 y 3) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 z (fma.f64 -1/6 (pow.f64 y 3) y))) (pow.f64 (cbrt.f64 (*.f64 z (fma.f64 -1/6 (pow.f64 y 3) y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 z (fma.f64 -1/6 (pow.f64 y 3) y))) 2) (cbrt.f64 (*.f64 z (fma.f64 -1/6 (pow.f64 y 3) y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 z (fma.f64 -1/6 (pow.f64 y 3) y))) (sqrt.f64 (*.f64 z (fma.f64 -1/6 (pow.f64 y 3) y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 -1/216 (pow.f64 (*.f64 (pow.f64 y 3) z) 3) (pow.f64 (*.f64 y z) 3)) (/.f64 1 (fma.f64 (*.f64 y z) (-.f64 (*.f64 y z) (*.f64 -1/6 (*.f64 (pow.f64 y 3) z))) (*.f64 1/36 (*.f64 (pow.f64 y 6) (*.f64 z z))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 1/36 (*.f64 (pow.f64 y 6) (*.f64 z z))) (pow.f64 (*.f64 y z) 2)) (/.f64 1 (*.f64 z (-.f64 (*.f64 -1/6 (pow.f64 y 3)) y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (*.f64 y z) (-.f64 (*.f64 y z) (*.f64 -1/6 (*.f64 (pow.f64 y 3) z))) (*.f64 1/36 (*.f64 (pow.f64 y 6) (*.f64 z z)))) (fma.f64 -1/216 (pow.f64 (*.f64 (pow.f64 y 3) z) 3) (pow.f64 (*.f64 y z) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 z (-.f64 (*.f64 -1/6 (pow.f64 y 3)) y)) (-.f64 (*.f64 1/36 (*.f64 (pow.f64 y 6) (*.f64 z z))) (pow.f64 (*.f64 y z) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 -1/216 (pow.f64 (*.f64 (pow.f64 y 3) z) 3) (pow.f64 (*.f64 y z) 3)) (fma.f64 (*.f64 y z) (-.f64 (*.f64 y z) (*.f64 -1/6 (*.f64 (pow.f64 y 3) z))) (*.f64 1/36 (*.f64 (pow.f64 y 6) (*.f64 z z)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 -1/216 (pow.f64 (*.f64 (pow.f64 y 3) z) 3) (pow.f64 (*.f64 y z) 3)) (+.f64 (pow.f64 (*.f64 y z) 2) (-.f64 (*.f64 1/36 (*.f64 (pow.f64 y 6) (*.f64 z z))) (*.f64 (*.f64 (pow.f64 y 3) z) (*.f64 -1/6 (*.f64 y z))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 1/36 (*.f64 (pow.f64 y 6) (*.f64 z z))) (pow.f64 (*.f64 y z) 2)) (*.f64 z (-.f64 (*.f64 -1/6 (pow.f64 y 3)) y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 -1/216 (pow.f64 (*.f64 (pow.f64 y 3) z) 3) (pow.f64 (*.f64 y z) 3))) (neg.f64 (fma.f64 (*.f64 y z) (-.f64 (*.f64 y z) (*.f64 -1/6 (*.f64 (pow.f64 y 3) z))) (*.f64 1/36 (*.f64 (pow.f64 y 6) (*.f64 z z))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 1/36 (*.f64 (pow.f64 y 6) (*.f64 z z))) (pow.f64 (*.f64 y z) 2))) (neg.f64 (*.f64 z (-.f64 (*.f64 -1/6 (pow.f64 y 3)) y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 y z) 2) (*.f64 1/36 (*.f64 (pow.f64 y 6) (*.f64 z z)))) (-.f64 (*.f64 y z) (*.f64 -1/6 (*.f64 (pow.f64 y 3) z))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 z (fma.f64 -1/6 (pow.f64 y 3) y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 z (fma.f64 -1/6 (pow.f64 y 3) y)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 z (fma.f64 -1/6 (pow.f64 y 3) y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 z (fma.f64 -1/6 (pow.f64 y 3) y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 z (fma.f64 -1/6 (pow.f64 y 3) y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 (*.f64 y z) (-.f64 (*.f64 y z) (*.f64 -1/6 (*.f64 (pow.f64 y 3) z))) (*.f64 1/36 (*.f64 (pow.f64 y 6) (*.f64 z z)))) (fma.f64 -1/216 (pow.f64 (*.f64 (pow.f64 y 3) z) 3) (pow.f64 (*.f64 y z) 3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 z (-.f64 (*.f64 -1/6 (pow.f64 y 3)) y)) (-.f64 (*.f64 1/36 (*.f64 (pow.f64 y 6) (*.f64 z z))) (pow.f64 (*.f64 y z) 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 z (fma.f64 -1/6 (pow.f64 y 3) y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 z (fma.f64 -1/6 (pow.f64 y 3) y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 z (fma.f64 -1/6 (pow.f64 y 3) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)))) (pow.f64 (exp.f64 z) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (exp.f64 -1/6) (*.f64 (pow.f64 y 3) z)) (+.f64 1 (expm1.f64 (*.f64 y z)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)))) (+.f64 1 (expm1.f64 (*.f64 y z)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 y z))) (pow.f64 (exp.f64 -1/6) (*.f64 (pow.f64 y 3) z))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (exp.f64 z) y) (+.f64 1 (expm1.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 y z))) (+.f64 1 (expm1.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 z (fma.f64 -1/6 (pow.f64 y 3) y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 z (fma.f64 -1/6 (pow.f64 y 3) y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 z (fma.f64 -1/6 (pow.f64 y 3) y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 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(pow.f64 y 3) z)))) 2) (cbrt.f64 (+.f64 x (*.f64 1/6 (*.f64 (pow.f64 y 3) z)))) (*.f64 (neg.f64 (sqrt.f64 (*.f64 y z))) (sqrt.f64 (*.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (neg.f64 (*.f64 z (fma.f64 -1/6 (pow.f64 y 3) y)))) (sqrt.f64 (neg.f64 (*.f64 z (fma.f64 -1/6 (pow.f64 y 3) y)))) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 x (*.f64 1/6 (*.f64 (pow.f64 y 3) z)))) (sqrt.f64 (+.f64 x (*.f64 1/6 (*.f64 (pow.f64 y 3) z)))) (neg.f64 (*.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 x (*.f64 1/6 (*.f64 (pow.f64 y 3) z)))) (sqrt.f64 (+.f64 x (*.f64 1/6 (*.f64 (pow.f64 y 3) z)))) (*.f64 (neg.f64 y) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 x (*.f64 1/6 (*.f64 (pow.f64 y 3) z)))) (sqrt.f64 (+.f64 x (*.f64 1/6 (*.f64 (pow.f64 y 3) z)))) (*.f64 (neg.f64 z) y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 x (*.f64 1/6 (*.f64 (pow.f64 y 3) z)))) (sqrt.f64 (+.f64 x (*.f64 1/6 (*.f64 (pow.f64 y 3) z)))) (*.f64 -1 (*.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 x (*.f64 1/6 (*.f64 (pow.f64 y 3) z)))) (sqrt.f64 (+.f64 x (*.f64 1/6 (*.f64 (pow.f64 y 3) z)))) (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 y z)) 2)) (cbrt.f64 (*.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 x (*.f64 1/6 (*.f64 (pow.f64 y 3) z)))) (sqrt.f64 (+.f64 x (*.f64 1/6 (*.f64 (pow.f64 y 3) z)))) (*.f64 (neg.f64 (sqrt.f64 (*.f64 y z))) (sqrt.f64 (*.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (sqrt.f64 (*.f64 z (fma.f64 -1/6 (pow.f64 y 3) y)))) (sqrt.f64 (*.f64 z (fma.f64 -1/6 (pow.f64 y 3) y))) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (*.f64 z (fma.f64 -1/6 (pow.f64 y 3) y)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)))) (-.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)))) (neg.f64 (*.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)))) (-.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)))) (*.f64 (neg.f64 y) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)))) (-.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)))) (*.f64 (neg.f64 z) y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)))) (-.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)))) (*.f64 -1 (*.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)))) (-.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)))) (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 y z)) 2)) (cbrt.f64 (*.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)))) (-.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)))) (*.f64 (neg.f64 (sqrt.f64 (*.f64 y z))) (sqrt.f64 (*.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 z (fma.f64 -1/6 (pow.f64 y 3) y)))) (-.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 z (fma.f64 -1/6 (pow.f64 y 3) y)))) (fma.f64 (neg.f64 (*.f64 z (fma.f64 -1/6 (pow.f64 y 3) y))) 1 (*.f64 z (fma.f64 -1/6 (pow.f64 y 3) y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 z (fma.f64 -1/6 (pow.f64 y 3) y)))) (-.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 z (fma.f64 -1/6 (pow.f64 y 3) y)))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 z (fma.f64 -1/6 (pow.f64 y 3) y)))) (pow.f64 (cbrt.f64 (*.f64 z (fma.f64 -1/6 (pow.f64 y 3) y))) 2) (*.f64 z (fma.f64 -1/6 (pow.f64 y 3) y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 z (fma.f64 -1/6 (pow.f64 y 3) y)))) (-.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 z (fma.f64 -1/6 (pow.f64 y 3) y)))) (+.f64 (neg.f64 (*.f64 z (fma.f64 -1/6 (pow.f64 y 3) y))) (*.f64 z (fma.f64 -1/6 (pow.f64 y 3) y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 z (fma.f64 -1/6 (pow.f64 y 3) y))) 2)) (cbrt.f64 (*.f64 z (fma.f64 -1/6 (pow.f64 y 3) y))) x))))) |
| 1× | egg-herbie |
| 1186× | fma-def_binary64 |
| 1140× | fma-neg_binary64 |
| 490× | distribute-rgt-neg-in_binary64 |
| 480× | cancel-sign-sub-inv_binary64 |
| 428× | unswap-sqr_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 40 | 820 |
| 1 | 114 | 654 |
| 2 | 283 | 654 |
| 3 | 870 | 654 |
| 4 | 2361 | 654 |
| 5 | 4012 | 654 |
| 6 | 4763 | 654 |
| 7 | 5058 | 654 |
| 8 | 5431 | 654 |
| 9 | 6246 | 654 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 y z) |
(*.f64 -1/6 (*.f64 (pow.f64 y 3) z)) |
(+.f64 (*.f64 y z) (*.f64 -1/6 (*.f64 (pow.f64 y 3) z))) |
(+.f64 (*.f64 y z) (*.f64 -1/6 (*.f64 (pow.f64 y 3) z))) |
(+.f64 (*.f64 y z) (*.f64 -1/6 (*.f64 (pow.f64 y 3) z))) |
(*.f64 -1/6 (*.f64 (pow.f64 y 3) z)) |
(+.f64 (*.f64 y z) (*.f64 -1/6 (*.f64 (pow.f64 y 3) z))) |
(+.f64 (*.f64 y z) (*.f64 -1/6 (*.f64 (pow.f64 y 3) z))) |
(+.f64 (*.f64 y z) (*.f64 -1/6 (*.f64 (pow.f64 y 3) z))) |
(*.f64 (+.f64 (*.f64 -1/6 (pow.f64 y 3)) y) z) |
(*.f64 (+.f64 (*.f64 -1/6 (pow.f64 y 3)) y) z) |
(*.f64 (+.f64 (*.f64 -1/6 (pow.f64 y 3)) y) z) |
(*.f64 (+.f64 (*.f64 -1/6 (pow.f64 y 3)) y) z) |
(*.f64 (+.f64 (*.f64 -1/6 (pow.f64 y 3)) y) z) |
(*.f64 (+.f64 (*.f64 -1/6 (pow.f64 y 3)) y) z) |
(*.f64 (+.f64 (*.f64 -1/6 (pow.f64 y 3)) y) z) |
(*.f64 (+.f64 (*.f64 -1/6 (pow.f64 y 3)) y) z) |
(*.f64 -1 (*.f64 (+.f64 (*.f64 -1 y) (*.f64 1/6 (pow.f64 y 3))) z)) |
(*.f64 -1 (*.f64 (+.f64 (*.f64 -1 y) (*.f64 1/6 (pow.f64 y 3))) z)) |
(*.f64 -1 (*.f64 (+.f64 (*.f64 -1 y) (*.f64 1/6 (pow.f64 y 3))) z)) |
(*.f64 -1 (*.f64 (+.f64 (*.f64 -1 y) (*.f64 1/6 (pow.f64 y 3))) z)) |
(*.f64 -1 (+.f64 (*.f64 y z) (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)))) |
(+.f64 (*.f64 -1 (+.f64 (*.f64 y z) (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)))) x) |
(+.f64 (*.f64 -1 (+.f64 (*.f64 y z) (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)))) x) |
(+.f64 (*.f64 -1 (+.f64 (*.f64 y z) (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)))) x) |
x |
(+.f64 (*.f64 -1 (+.f64 (*.f64 y z) (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)))) x) |
(+.f64 (*.f64 -1 (+.f64 (*.f64 y z) (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)))) x) |
(+.f64 (*.f64 -1 (+.f64 (*.f64 y z) (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)))) x) |
x |
(+.f64 (*.f64 -1 (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)) (*.f64 y z))) x) |
(+.f64 (*.f64 -1 (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)) (*.f64 y z))) x) |
(+.f64 (*.f64 -1 (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)) (*.f64 y z))) x) |
x |
(+.f64 (*.f64 -1 (*.f64 y z)) x) |
(+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 y 3) z)) x)) |
(+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 y 3) z)) x)) |
(*.f64 1/6 (*.f64 (pow.f64 y 3) z)) |
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 1/6 (*.f64 (pow.f64 y 3) z))) |
(+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 x (*.f64 1/6 (*.f64 (pow.f64 y 3) z)))) |
(+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 x (*.f64 1/6 (*.f64 (pow.f64 y 3) z)))) |
(*.f64 1/6 (*.f64 (pow.f64 y 3) z)) |
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 1/6 (*.f64 (pow.f64 y 3) z))) |
(+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 x (*.f64 1/6 (*.f64 (pow.f64 y 3) z)))) |
(+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 x (*.f64 1/6 (*.f64 (pow.f64 y 3) z)))) |
x |
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/6 (pow.f64 y 3)) y) z)) x) |
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/6 (pow.f64 y 3)) y) z)) x) |
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/6 (pow.f64 y 3)) y) z)) x) |
(*.f64 -1 (*.f64 (+.f64 (*.f64 -1/6 (pow.f64 y 3)) y) z)) |
(+.f64 x (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/6 (pow.f64 y 3)) y) z))) |
(+.f64 x (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/6 (pow.f64 y 3)) y) z))) |
(+.f64 x (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/6 (pow.f64 y 3)) y) z))) |
(*.f64 z (+.f64 (*.f64 1/6 (pow.f64 y 3)) (*.f64 -1 y))) |
(+.f64 (*.f64 z (+.f64 (*.f64 1/6 (pow.f64 y 3)) (*.f64 -1 y))) x) |
(+.f64 (*.f64 z (+.f64 (*.f64 1/6 (pow.f64 y 3)) (*.f64 -1 y))) x) |
(+.f64 (*.f64 z (+.f64 (*.f64 1/6 (pow.f64 y 3)) (*.f64 -1 y))) x) |
| Outputs |
|---|
(*.f64 y z) |
(*.f64 -1/6 (*.f64 (pow.f64 y 3) z)) |
(*.f64 -1/6 (*.f64 z (pow.f64 y 3))) |
(*.f64 (pow.f64 y 3) (*.f64 z -1/6)) |
(*.f64 z (*.f64 -1/6 (pow.f64 y 3))) |
(+.f64 (*.f64 y z) (*.f64 -1/6 (*.f64 (pow.f64 y 3) z))) |
(fma.f64 -1/6 (*.f64 z (pow.f64 y 3)) (*.f64 y z)) |
(*.f64 z (fma.f64 -1/6 (pow.f64 y 3) y)) |
(+.f64 (*.f64 y z) (*.f64 -1/6 (*.f64 (pow.f64 y 3) z))) |
(fma.f64 -1/6 (*.f64 z (pow.f64 y 3)) (*.f64 y z)) |
(*.f64 z (fma.f64 -1/6 (pow.f64 y 3) y)) |
(+.f64 (*.f64 y z) (*.f64 -1/6 (*.f64 (pow.f64 y 3) z))) |
(fma.f64 -1/6 (*.f64 z (pow.f64 y 3)) (*.f64 y z)) |
(*.f64 z (fma.f64 -1/6 (pow.f64 y 3) y)) |
(*.f64 -1/6 (*.f64 (pow.f64 y 3) z)) |
(*.f64 -1/6 (*.f64 z (pow.f64 y 3))) |
(*.f64 (pow.f64 y 3) (*.f64 z -1/6)) |
(*.f64 z (*.f64 -1/6 (pow.f64 y 3))) |
(+.f64 (*.f64 y z) (*.f64 -1/6 (*.f64 (pow.f64 y 3) z))) |
(fma.f64 -1/6 (*.f64 z (pow.f64 y 3)) (*.f64 y z)) |
(*.f64 z (fma.f64 -1/6 (pow.f64 y 3) y)) |
(+.f64 (*.f64 y z) (*.f64 -1/6 (*.f64 (pow.f64 y 3) z))) |
(fma.f64 -1/6 (*.f64 z (pow.f64 y 3)) (*.f64 y z)) |
(*.f64 z (fma.f64 -1/6 (pow.f64 y 3) y)) |
(+.f64 (*.f64 y z) (*.f64 -1/6 (*.f64 (pow.f64 y 3) z))) |
(fma.f64 -1/6 (*.f64 z (pow.f64 y 3)) (*.f64 y z)) |
(*.f64 z (fma.f64 -1/6 (pow.f64 y 3) y)) |
(*.f64 (+.f64 (*.f64 -1/6 (pow.f64 y 3)) y) z) |
(fma.f64 -1/6 (*.f64 z (pow.f64 y 3)) (*.f64 y z)) |
(*.f64 z (fma.f64 -1/6 (pow.f64 y 3) y)) |
(*.f64 (+.f64 (*.f64 -1/6 (pow.f64 y 3)) y) z) |
(fma.f64 -1/6 (*.f64 z (pow.f64 y 3)) (*.f64 y z)) |
(*.f64 z (fma.f64 -1/6 (pow.f64 y 3) y)) |
(*.f64 (+.f64 (*.f64 -1/6 (pow.f64 y 3)) y) z) |
(fma.f64 -1/6 (*.f64 z (pow.f64 y 3)) (*.f64 y z)) |
(*.f64 z (fma.f64 -1/6 (pow.f64 y 3) y)) |
(*.f64 (+.f64 (*.f64 -1/6 (pow.f64 y 3)) y) z) |
(fma.f64 -1/6 (*.f64 z (pow.f64 y 3)) (*.f64 y z)) |
(*.f64 z (fma.f64 -1/6 (pow.f64 y 3) y)) |
(*.f64 (+.f64 (*.f64 -1/6 (pow.f64 y 3)) y) z) |
(fma.f64 -1/6 (*.f64 z (pow.f64 y 3)) (*.f64 y z)) |
(*.f64 z (fma.f64 -1/6 (pow.f64 y 3) y)) |
(*.f64 (+.f64 (*.f64 -1/6 (pow.f64 y 3)) y) z) |
(fma.f64 -1/6 (*.f64 z (pow.f64 y 3)) (*.f64 y z)) |
(*.f64 z (fma.f64 -1/6 (pow.f64 y 3) y)) |
(*.f64 (+.f64 (*.f64 -1/6 (pow.f64 y 3)) y) z) |
(fma.f64 -1/6 (*.f64 z (pow.f64 y 3)) (*.f64 y z)) |
(*.f64 z (fma.f64 -1/6 (pow.f64 y 3) y)) |
(*.f64 (+.f64 (*.f64 -1/6 (pow.f64 y 3)) y) z) |
(fma.f64 -1/6 (*.f64 z (pow.f64 y 3)) (*.f64 y z)) |
(*.f64 z (fma.f64 -1/6 (pow.f64 y 3) y)) |
(*.f64 -1 (*.f64 (+.f64 (*.f64 -1 y) (*.f64 1/6 (pow.f64 y 3))) z)) |
(fma.f64 -1/6 (*.f64 z (pow.f64 y 3)) (*.f64 y z)) |
(*.f64 z (fma.f64 -1/6 (pow.f64 y 3) y)) |
(*.f64 -1 (*.f64 (+.f64 (*.f64 -1 y) (*.f64 1/6 (pow.f64 y 3))) z)) |
(fma.f64 -1/6 (*.f64 z (pow.f64 y 3)) (*.f64 y z)) |
(*.f64 z (fma.f64 -1/6 (pow.f64 y 3) y)) |
(*.f64 -1 (*.f64 (+.f64 (*.f64 -1 y) (*.f64 1/6 (pow.f64 y 3))) z)) |
(fma.f64 -1/6 (*.f64 z (pow.f64 y 3)) (*.f64 y z)) |
(*.f64 z (fma.f64 -1/6 (pow.f64 y 3) y)) |
(*.f64 -1 (*.f64 (+.f64 (*.f64 -1 y) (*.f64 1/6 (pow.f64 y 3))) z)) |
(fma.f64 -1/6 (*.f64 z (pow.f64 y 3)) (*.f64 y z)) |
(*.f64 z (fma.f64 -1/6 (pow.f64 y 3) y)) |
(*.f64 -1 (+.f64 (*.f64 y z) (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)))) |
(neg.f64 (fma.f64 -1/6 (*.f64 z (pow.f64 y 3)) (*.f64 y z))) |
(*.f64 z (-.f64 (*.f64 (pow.f64 y 3) 1/6) y)) |
(*.f64 z (fma.f64 (pow.f64 y 3) 1/6 (neg.f64 y))) |
(*.f64 (fma.f64 -1/6 (pow.f64 y 3) y) (neg.f64 z)) |
(+.f64 (*.f64 -1 (+.f64 (*.f64 y z) (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)))) x) |
(fma.f64 -1 (fma.f64 -1/6 (*.f64 z (pow.f64 y 3)) (*.f64 y z)) x) |
(fma.f64 z (-.f64 (*.f64 (pow.f64 y 3) 1/6) y) x) |
(fma.f64 z (fma.f64 (pow.f64 y 3) 1/6 (neg.f64 y)) x) |
(fma.f64 (fma.f64 -1/6 (pow.f64 y 3) y) (neg.f64 z) x) |
(+.f64 (*.f64 -1 (+.f64 (*.f64 y z) (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)))) x) |
(fma.f64 -1 (fma.f64 -1/6 (*.f64 z (pow.f64 y 3)) (*.f64 y z)) x) |
(fma.f64 z (-.f64 (*.f64 (pow.f64 y 3) 1/6) y) x) |
(fma.f64 z (fma.f64 (pow.f64 y 3) 1/6 (neg.f64 y)) x) |
(fma.f64 (fma.f64 -1/6 (pow.f64 y 3) y) (neg.f64 z) x) |
(+.f64 (*.f64 -1 (+.f64 (*.f64 y z) (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)))) x) |
(fma.f64 -1 (fma.f64 -1/6 (*.f64 z (pow.f64 y 3)) (*.f64 y z)) x) |
(fma.f64 z (-.f64 (*.f64 (pow.f64 y 3) 1/6) y) x) |
(fma.f64 z (fma.f64 (pow.f64 y 3) 1/6 (neg.f64 y)) x) |
(fma.f64 (fma.f64 -1/6 (pow.f64 y 3) y) (neg.f64 z) x) |
x |
(+.f64 (*.f64 -1 (+.f64 (*.f64 y z) (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)))) x) |
(fma.f64 -1 (fma.f64 -1/6 (*.f64 z (pow.f64 y 3)) (*.f64 y z)) x) |
(fma.f64 z (-.f64 (*.f64 (pow.f64 y 3) 1/6) y) x) |
(fma.f64 z (fma.f64 (pow.f64 y 3) 1/6 (neg.f64 y)) x) |
(fma.f64 (fma.f64 -1/6 (pow.f64 y 3) y) (neg.f64 z) x) |
(+.f64 (*.f64 -1 (+.f64 (*.f64 y z) (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)))) x) |
(fma.f64 -1 (fma.f64 -1/6 (*.f64 z (pow.f64 y 3)) (*.f64 y z)) x) |
(fma.f64 z (-.f64 (*.f64 (pow.f64 y 3) 1/6) y) x) |
(fma.f64 z (fma.f64 (pow.f64 y 3) 1/6 (neg.f64 y)) x) |
(fma.f64 (fma.f64 -1/6 (pow.f64 y 3) y) (neg.f64 z) x) |
(+.f64 (*.f64 -1 (+.f64 (*.f64 y z) (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)))) x) |
(fma.f64 -1 (fma.f64 -1/6 (*.f64 z (pow.f64 y 3)) (*.f64 y z)) x) |
(fma.f64 z (-.f64 (*.f64 (pow.f64 y 3) 1/6) y) x) |
(fma.f64 z (fma.f64 (pow.f64 y 3) 1/6 (neg.f64 y)) x) |
(fma.f64 (fma.f64 -1/6 (pow.f64 y 3) y) (neg.f64 z) x) |
x |
(+.f64 (*.f64 -1 (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)) (*.f64 y z))) x) |
(fma.f64 -1 (fma.f64 -1/6 (*.f64 z (pow.f64 y 3)) (*.f64 y z)) x) |
(fma.f64 z (-.f64 (*.f64 (pow.f64 y 3) 1/6) y) x) |
(fma.f64 z (fma.f64 (pow.f64 y 3) 1/6 (neg.f64 y)) x) |
(fma.f64 (fma.f64 -1/6 (pow.f64 y 3) y) (neg.f64 z) x) |
(+.f64 (*.f64 -1 (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)) (*.f64 y z))) x) |
(fma.f64 -1 (fma.f64 -1/6 (*.f64 z (pow.f64 y 3)) (*.f64 y z)) x) |
(fma.f64 z (-.f64 (*.f64 (pow.f64 y 3) 1/6) y) x) |
(fma.f64 z (fma.f64 (pow.f64 y 3) 1/6 (neg.f64 y)) x) |
(fma.f64 (fma.f64 -1/6 (pow.f64 y 3) y) (neg.f64 z) x) |
(+.f64 (*.f64 -1 (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)) (*.f64 y z))) x) |
(fma.f64 -1 (fma.f64 -1/6 (*.f64 z (pow.f64 y 3)) (*.f64 y z)) x) |
(fma.f64 z (-.f64 (*.f64 (pow.f64 y 3) 1/6) y) x) |
(fma.f64 z (fma.f64 (pow.f64 y 3) 1/6 (neg.f64 y)) x) |
(fma.f64 (fma.f64 -1/6 (pow.f64 y 3) y) (neg.f64 z) x) |
x |
(+.f64 (*.f64 -1 (*.f64 y z)) x) |
(fma.f64 -1 (*.f64 y z) x) |
(-.f64 x (*.f64 y z)) |
(fma.f64 y (neg.f64 z) x) |
(+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 y 3) z)) x)) |
(fma.f64 -1 (fma.f64 -1/6 (*.f64 z (pow.f64 y 3)) (*.f64 y z)) x) |
(fma.f64 z (-.f64 (*.f64 (pow.f64 y 3) 1/6) y) x) |
(fma.f64 z (fma.f64 (pow.f64 y 3) 1/6 (neg.f64 y)) x) |
(fma.f64 (fma.f64 -1/6 (pow.f64 y 3) y) (neg.f64 z) x) |
(+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 y 3) z)) x)) |
(fma.f64 -1 (fma.f64 -1/6 (*.f64 z (pow.f64 y 3)) (*.f64 y z)) x) |
(fma.f64 z (-.f64 (*.f64 (pow.f64 y 3) 1/6) y) x) |
(fma.f64 z (fma.f64 (pow.f64 y 3) 1/6 (neg.f64 y)) x) |
(fma.f64 (fma.f64 -1/6 (pow.f64 y 3) y) (neg.f64 z) x) |
(*.f64 1/6 (*.f64 (pow.f64 y 3) z)) |
(*.f64 (*.f64 z (pow.f64 y 3)) 1/6) |
(*.f64 (pow.f64 y 3) (*.f64 z 1/6)) |
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 1/6 (*.f64 (pow.f64 y 3) z))) |
(neg.f64 (fma.f64 -1/6 (*.f64 z (pow.f64 y 3)) (*.f64 y z))) |
(*.f64 z (-.f64 (*.f64 (pow.f64 y 3) 1/6) y)) |
(*.f64 z (fma.f64 (pow.f64 y 3) 1/6 (neg.f64 y))) |
(*.f64 (fma.f64 -1/6 (pow.f64 y 3) y) (neg.f64 z)) |
(+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 x (*.f64 1/6 (*.f64 (pow.f64 y 3) z)))) |
(fma.f64 -1 (fma.f64 -1/6 (*.f64 z (pow.f64 y 3)) (*.f64 y z)) x) |
(fma.f64 z (-.f64 (*.f64 (pow.f64 y 3) 1/6) y) x) |
(fma.f64 z (fma.f64 (pow.f64 y 3) 1/6 (neg.f64 y)) x) |
(fma.f64 (fma.f64 -1/6 (pow.f64 y 3) y) (neg.f64 z) x) |
(+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 x (*.f64 1/6 (*.f64 (pow.f64 y 3) z)))) |
(fma.f64 -1 (fma.f64 -1/6 (*.f64 z (pow.f64 y 3)) (*.f64 y z)) x) |
(fma.f64 z (-.f64 (*.f64 (pow.f64 y 3) 1/6) y) x) |
(fma.f64 z (fma.f64 (pow.f64 y 3) 1/6 (neg.f64 y)) x) |
(fma.f64 (fma.f64 -1/6 (pow.f64 y 3) y) (neg.f64 z) x) |
(*.f64 1/6 (*.f64 (pow.f64 y 3) z)) |
(*.f64 (*.f64 z (pow.f64 y 3)) 1/6) |
(*.f64 (pow.f64 y 3) (*.f64 z 1/6)) |
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 1/6 (*.f64 (pow.f64 y 3) z))) |
(neg.f64 (fma.f64 -1/6 (*.f64 z (pow.f64 y 3)) (*.f64 y z))) |
(*.f64 z (-.f64 (*.f64 (pow.f64 y 3) 1/6) y)) |
(*.f64 z (fma.f64 (pow.f64 y 3) 1/6 (neg.f64 y))) |
(*.f64 (fma.f64 -1/6 (pow.f64 y 3) y) (neg.f64 z)) |
(+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 x (*.f64 1/6 (*.f64 (pow.f64 y 3) z)))) |
(fma.f64 -1 (fma.f64 -1/6 (*.f64 z (pow.f64 y 3)) (*.f64 y z)) x) |
(fma.f64 z (-.f64 (*.f64 (pow.f64 y 3) 1/6) y) x) |
(fma.f64 z (fma.f64 (pow.f64 y 3) 1/6 (neg.f64 y)) x) |
(fma.f64 (fma.f64 -1/6 (pow.f64 y 3) y) (neg.f64 z) x) |
(+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 x (*.f64 1/6 (*.f64 (pow.f64 y 3) z)))) |
(fma.f64 -1 (fma.f64 -1/6 (*.f64 z (pow.f64 y 3)) (*.f64 y z)) x) |
(fma.f64 z (-.f64 (*.f64 (pow.f64 y 3) 1/6) y) x) |
(fma.f64 z (fma.f64 (pow.f64 y 3) 1/6 (neg.f64 y)) x) |
(fma.f64 (fma.f64 -1/6 (pow.f64 y 3) y) (neg.f64 z) x) |
x |
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/6 (pow.f64 y 3)) y) z)) x) |
(fma.f64 -1 (fma.f64 -1/6 (*.f64 z (pow.f64 y 3)) (*.f64 y z)) x) |
(fma.f64 z (-.f64 (*.f64 (pow.f64 y 3) 1/6) y) x) |
(fma.f64 z (fma.f64 (pow.f64 y 3) 1/6 (neg.f64 y)) x) |
(fma.f64 (fma.f64 -1/6 (pow.f64 y 3) y) (neg.f64 z) x) |
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/6 (pow.f64 y 3)) y) z)) x) |
(fma.f64 -1 (fma.f64 -1/6 (*.f64 z (pow.f64 y 3)) (*.f64 y z)) x) |
(fma.f64 z (-.f64 (*.f64 (pow.f64 y 3) 1/6) y) x) |
(fma.f64 z (fma.f64 (pow.f64 y 3) 1/6 (neg.f64 y)) x) |
(fma.f64 (fma.f64 -1/6 (pow.f64 y 3) y) (neg.f64 z) x) |
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/6 (pow.f64 y 3)) y) z)) x) |
(fma.f64 -1 (fma.f64 -1/6 (*.f64 z (pow.f64 y 3)) (*.f64 y z)) x) |
(fma.f64 z (-.f64 (*.f64 (pow.f64 y 3) 1/6) y) x) |
(fma.f64 z (fma.f64 (pow.f64 y 3) 1/6 (neg.f64 y)) x) |
(fma.f64 (fma.f64 -1/6 (pow.f64 y 3) y) (neg.f64 z) x) |
(*.f64 -1 (*.f64 (+.f64 (*.f64 -1/6 (pow.f64 y 3)) y) z)) |
(neg.f64 (fma.f64 -1/6 (*.f64 z (pow.f64 y 3)) (*.f64 y z))) |
(*.f64 z (-.f64 (*.f64 (pow.f64 y 3) 1/6) y)) |
(*.f64 z (fma.f64 (pow.f64 y 3) 1/6 (neg.f64 y))) |
(*.f64 (fma.f64 -1/6 (pow.f64 y 3) y) (neg.f64 z)) |
(+.f64 x (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/6 (pow.f64 y 3)) y) z))) |
(fma.f64 -1 (fma.f64 -1/6 (*.f64 z (pow.f64 y 3)) (*.f64 y z)) x) |
(fma.f64 z (-.f64 (*.f64 (pow.f64 y 3) 1/6) y) x) |
(fma.f64 z (fma.f64 (pow.f64 y 3) 1/6 (neg.f64 y)) x) |
(fma.f64 (fma.f64 -1/6 (pow.f64 y 3) y) (neg.f64 z) x) |
(+.f64 x (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/6 (pow.f64 y 3)) y) z))) |
(fma.f64 -1 (fma.f64 -1/6 (*.f64 z (pow.f64 y 3)) (*.f64 y z)) x) |
(fma.f64 z (-.f64 (*.f64 (pow.f64 y 3) 1/6) y) x) |
(fma.f64 z (fma.f64 (pow.f64 y 3) 1/6 (neg.f64 y)) x) |
(fma.f64 (fma.f64 -1/6 (pow.f64 y 3) y) (neg.f64 z) x) |
(+.f64 x (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/6 (pow.f64 y 3)) y) z))) |
(fma.f64 -1 (fma.f64 -1/6 (*.f64 z (pow.f64 y 3)) (*.f64 y z)) x) |
(fma.f64 z (-.f64 (*.f64 (pow.f64 y 3) 1/6) y) x) |
(fma.f64 z (fma.f64 (pow.f64 y 3) 1/6 (neg.f64 y)) x) |
(fma.f64 (fma.f64 -1/6 (pow.f64 y 3) y) (neg.f64 z) x) |
(*.f64 z (+.f64 (*.f64 1/6 (pow.f64 y 3)) (*.f64 -1 y))) |
(neg.f64 (fma.f64 -1/6 (*.f64 z (pow.f64 y 3)) (*.f64 y z))) |
(*.f64 z (-.f64 (*.f64 (pow.f64 y 3) 1/6) y)) |
(*.f64 z (fma.f64 (pow.f64 y 3) 1/6 (neg.f64 y))) |
(*.f64 (fma.f64 -1/6 (pow.f64 y 3) y) (neg.f64 z)) |
(+.f64 (*.f64 z (+.f64 (*.f64 1/6 (pow.f64 y 3)) (*.f64 -1 y))) x) |
(fma.f64 -1 (fma.f64 -1/6 (*.f64 z (pow.f64 y 3)) (*.f64 y z)) x) |
(fma.f64 z (-.f64 (*.f64 (pow.f64 y 3) 1/6) y) x) |
(fma.f64 z (fma.f64 (pow.f64 y 3) 1/6 (neg.f64 y)) x) |
(fma.f64 (fma.f64 -1/6 (pow.f64 y 3) y) (neg.f64 z) x) |
(+.f64 (*.f64 z (+.f64 (*.f64 1/6 (pow.f64 y 3)) (*.f64 -1 y))) x) |
(fma.f64 -1 (fma.f64 -1/6 (*.f64 z (pow.f64 y 3)) (*.f64 y z)) x) |
(fma.f64 z (-.f64 (*.f64 (pow.f64 y 3) 1/6) y) x) |
(fma.f64 z (fma.f64 (pow.f64 y 3) 1/6 (neg.f64 y)) x) |
(fma.f64 (fma.f64 -1/6 (pow.f64 y 3) y) (neg.f64 z) x) |
(+.f64 (*.f64 z (+.f64 (*.f64 1/6 (pow.f64 y 3)) (*.f64 -1 y))) x) |
(fma.f64 -1 (fma.f64 -1/6 (*.f64 z (pow.f64 y 3)) (*.f64 y z)) x) |
(fma.f64 z (-.f64 (*.f64 (pow.f64 y 3) 1/6) y) x) |
(fma.f64 z (fma.f64 (pow.f64 y 3) 1/6 (neg.f64 y)) x) |
(fma.f64 (fma.f64 -1/6 (pow.f64 y 3) y) (neg.f64 z) x) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (-.f64 x (pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 2)) |
| 0.2b | (*.f64 z (sin.f64 y)) | |
| ✓ | 0.2b | (pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 2) |
| ✓ | 7.4b | (sqrt.f64 (*.f64 z (sin.f64 y))) |
Compiled 34 to 12 computations (64.7% saved)
21 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | z | @ | 0 | (sqrt.f64 (*.f64 z (sin.f64 y))) |
| 2.0ms | z | @ | inf | (pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 2) |
| 2.0ms | y | @ | 0 | (sqrt.f64 (*.f64 z (sin.f64 y))) |
| 1.0ms | z | @ | -inf | (sqrt.f64 (*.f64 z (sin.f64 y))) |
| 1.0ms | y | @ | 0 | (pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 2) |
| 1× | batch-egg-rewrite |
| 963× | pow1_binary64 |
| 894× | add-log-exp_binary64 |
| 893× | log1p-expm1-u_binary64 |
| 893× | expm1-log1p-u_binary64 |
| 99× | add-sqr-sqrt_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 23 |
| 1 | 215 | 23 |
| 2 | 2456 | 23 |
| 1× | node limit |
| Inputs |
|---|
(sqrt.f64 (*.f64 z (sin.f64 y))) |
(pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 2) |
(-.f64 x (pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 2)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 z (sin.f64 y))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (*.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) (cbrt.f64 (sqrt.f64 (*.f64 z (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (*.f64 z (sin.f64 y)))) (cbrt.f64 (*.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 z) (sqrt.f64 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 z (sin.f64 y)) 1/4) (pow.f64 (*.f64 z (sin.f64 y)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2))) (sqrt.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (*.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2)) 1/2) (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 z (sin.f64 y)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 z (sin.f64 y)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 z (sin.f64 y)) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (*.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (*.f64 z (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 z (sin.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 z (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 z (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (*.f64 z (sin.f64 y))))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 z (sin.f64 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 z (sin.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 y) z)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 z (sin.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) (sqrt.f64 (*.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 z (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) (cbrt.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 z (sin.f64 y)))) (sqrt.f64 (*.f64 z (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2)) (cbrt.f64 (*.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 z z)) (*.f64 (cbrt.f64 z) (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (*.f64 (cbrt.f64 (sin.f64 y)) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 (*.f64 z (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 z (sin.f64 y)) 1/4) (*.f64 (pow.f64 (*.f64 z (sin.f64 y)) 1/4) (sqrt.f64 (*.f64 z (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sin.f64 y)) (*.f64 (sqrt.f64 (sin.f64 y)) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) (pow.f64 (*.f64 z (sin.f64 y)) 1/4)) (pow.f64 (*.f64 z (sin.f64 y)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 z (pow.f64 (cbrt.f64 (sin.f64 y)) 2)) (cbrt.f64 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 z (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 y) (cbrt.f64 (*.f64 z z))) (cbrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 y) (sqrt.f64 z)) (sqrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) (cbrt.f64 (*.f64 z (sin.f64 y)))) (cbrt.f64 (sqrt.f64 (*.f64 z (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) (sqrt.f64 z)) (sqrt.f64 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 z) (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 z (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 z (sin.f64 y)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 z (neg.f64 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 (*.f64 z (neg.f64 (sin.f64 y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (*.f64 z (sin.f64 y))) (fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (*.f64 z (sin.f64 y))) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (*.f64 z (sin.f64 y))) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 z (sin.f64 y)))) (sqrt.f64 (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (*.f64 z (sin.f64 y))) (fma.f64 (*.f64 z (neg.f64 (sin.f64 y))) 1 (*.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (*.f64 z (sin.f64 y))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))) (cbrt.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2)) (*.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 z (neg.f64 (sin.f64 y))) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 x (*.f64 z (sin.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 x (*.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 x (*.f64 z (sin.f64 y)))) (pow.f64 (cbrt.f64 (-.f64 x (*.f64 z (sin.f64 y)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 x (*.f64 z (sin.f64 y)))) 2) (cbrt.f64 (-.f64 x (*.f64 z (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 x (*.f64 z (sin.f64 y)))) (sqrt.f64 (-.f64 x (*.f64 z (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (/.f64 1 (fma.f64 x x (*.f64 (*.f64 z (sin.f64 y)) (+.f64 (*.f64 z (sin.f64 y)) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 z (sin.f64 y)) 2)) (/.f64 1 (+.f64 (*.f64 z (sin.f64 y)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 z (sin.f64 y)))) (-.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 z (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x x (*.f64 (*.f64 z (sin.f64 y)) (+.f64 (*.f64 z (sin.f64 y)) x))) (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 z (sin.f64 y)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (*.f64 z (sin.f64 y)) x) (-.f64 (*.f64 x x) (pow.f64 (*.f64 z (sin.f64 y)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (fma.f64 x x (*.f64 (*.f64 z (sin.f64 y)) (+.f64 (*.f64 z (sin.f64 y)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 z (sin.f64 y)) 2)) (+.f64 (*.f64 z (sin.f64 y)) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 z (sin.f64 y)) 3))) (neg.f64 (fma.f64 x x (*.f64 (*.f64 z (sin.f64 y)) (+.f64 (*.f64 z (sin.f64 y)) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 z (sin.f64 y)) 2))) (neg.f64 (+.f64 (*.f64 z (sin.f64 y)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 z (neg.f64 (sin.f64 y))) 3)) (+.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 z (neg.f64 (sin.f64 y))) (*.f64 z (neg.f64 (sin.f64 y)))) (*.f64 x (*.f64 z (neg.f64 (sin.f64 y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 z (neg.f64 (sin.f64 y))) (*.f64 z (neg.f64 (sin.f64 y))))) (-.f64 x (*.f64 z (neg.f64 (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 x (*.f64 z (sin.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 x (*.f64 z (sin.f64 y))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 x (*.f64 z (sin.f64 y)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 x (*.f64 z (sin.f64 y)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 x (*.f64 z (sin.f64 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 x (*.f64 z (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (-.f64 x (*.f64 z (sin.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 x (*.f64 z (sin.f64 y))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 x (*.f64 z (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 x (*.f64 z (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 x (*.f64 z (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (*.f64 z (neg.f64 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 z (neg.f64 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 z (neg.f64 (sin.f64 y)))))))) |
| 1× | egg-herbie |
| 101× | fma-def_binary64 |
| 56× | fma-neg_binary64 |
| 29× | cancel-sign-sub-inv_binary64 |
| 18× | sub-neg_binary64 |
| 13× | distribute-rgt-neg-in_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 213 |
| 1 | 21 | 213 |
| 2 | 37 | 213 |
| 3 | 50 | 213 |
| 4 | 66 | 213 |
| 5 | 100 | 213 |
| 6 | 155 | 213 |
| 7 | 205 | 213 |
| 8 | 270 | 213 |
| 9 | 344 | 213 |
| 10 | 394 | 213 |
| 11 | 400 | 213 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 z (sin.f64 y)) |
(*.f64 z (sin.f64 y)) |
(*.f64 z (sin.f64 y)) |
(*.f64 z (sin.f64 y)) |
(*.f64 z (sin.f64 y)) |
(*.f64 z (sin.f64 y)) |
(*.f64 z (sin.f64 y)) |
(*.f64 z (sin.f64 y)) |
(*.f64 -1 (*.f64 z (sin.f64 y))) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x) |
x |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x) |
x |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x) |
x |
x |
(-.f64 x (*.f64 z (sin.f64 y))) |
(-.f64 x (*.f64 z (sin.f64 y))) |
(-.f64 x (*.f64 z (sin.f64 y))) |
(-.f64 x (*.f64 z (sin.f64 y))) |
(-.f64 x (*.f64 z (sin.f64 y))) |
(-.f64 x (*.f64 z (sin.f64 y))) |
(-.f64 x (*.f64 z (sin.f64 y))) |
(-.f64 x (*.f64 z (sin.f64 y))) |
| Outputs |
|---|
(*.f64 z (sin.f64 y)) |
(*.f64 z (sin.f64 y)) |
(*.f64 z (sin.f64 y)) |
(*.f64 z (sin.f64 y)) |
(*.f64 z (sin.f64 y)) |
(*.f64 z (sin.f64 y)) |
(*.f64 z (sin.f64 y)) |
(*.f64 z (sin.f64 y)) |
(*.f64 -1 (*.f64 z (sin.f64 y))) |
(neg.f64 (*.f64 z (sin.f64 y))) |
(*.f64 z (neg.f64 (sin.f64 y))) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x) |
(-.f64 x (*.f64 z (sin.f64 y))) |
(fma.f64 z (neg.f64 (sin.f64 y)) x) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x) |
(-.f64 x (*.f64 z (sin.f64 y))) |
(fma.f64 z (neg.f64 (sin.f64 y)) x) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x) |
(-.f64 x (*.f64 z (sin.f64 y))) |
(fma.f64 z (neg.f64 (sin.f64 y)) x) |
x |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x) |
(-.f64 x (*.f64 z (sin.f64 y))) |
(fma.f64 z (neg.f64 (sin.f64 y)) x) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x) |
(-.f64 x (*.f64 z (sin.f64 y))) |
(fma.f64 z (neg.f64 (sin.f64 y)) x) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x) |
(-.f64 x (*.f64 z (sin.f64 y))) |
(fma.f64 z (neg.f64 (sin.f64 y)) x) |
x |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x) |
(-.f64 x (*.f64 z (sin.f64 y))) |
(fma.f64 z (neg.f64 (sin.f64 y)) x) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x) |
(-.f64 x (*.f64 z (sin.f64 y))) |
(fma.f64 z (neg.f64 (sin.f64 y)) x) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x) |
(-.f64 x (*.f64 z (sin.f64 y))) |
(fma.f64 z (neg.f64 (sin.f64 y)) x) |
x |
x |
(-.f64 x (*.f64 z (sin.f64 y))) |
(fma.f64 z (neg.f64 (sin.f64 y)) x) |
(-.f64 x (*.f64 z (sin.f64 y))) |
(fma.f64 z (neg.f64 (sin.f64 y)) x) |
(-.f64 x (*.f64 z (sin.f64 y))) |
(fma.f64 z (neg.f64 (sin.f64 y)) x) |
(-.f64 x (*.f64 z (sin.f64 y))) |
(fma.f64 z (neg.f64 (sin.f64 y)) x) |
(-.f64 x (*.f64 z (sin.f64 y))) |
(fma.f64 z (neg.f64 (sin.f64 y)) x) |
(-.f64 x (*.f64 z (sin.f64 y))) |
(fma.f64 z (neg.f64 (sin.f64 y)) x) |
(-.f64 x (*.f64 z (sin.f64 y))) |
(fma.f64 z (neg.f64 (sin.f64 y)) x) |
(-.f64 x (*.f64 z (sin.f64 y))) |
(fma.f64 z (neg.f64 (sin.f64 y)) x) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (-.f64 (expm1.f64 (log1p.f64 (+.f64 x (cos.f64 y)))) (*.f64 z (sin.f64 y))) |
| 0.2b | (*.f64 z (sin.f64 y)) | |
| ✓ | 0.2b | (log1p.f64 (+.f64 x (cos.f64 y))) |
| ✓ | 1.7b | (expm1.f64 (log1p.f64 (+.f64 x (cos.f64 y)))) |
Compiled 40 to 10 computations (75% saved)
21 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 56.0ms | y | @ | inf | (log1p.f64 (+.f64 x (cos.f64 y))) |
| 17.0ms | y | @ | -inf | (log1p.f64 (+.f64 x (cos.f64 y))) |
| 3.0ms | y | @ | 0 | (log1p.f64 (+.f64 x (cos.f64 y))) |
| 1.0ms | x | @ | 0 | (log1p.f64 (+.f64 x (cos.f64 y))) |
| 1.0ms | x | @ | inf | (log1p.f64 (+.f64 x (cos.f64 y))) |
| 1× | batch-egg-rewrite |
| 555× | log-prod_binary64 |
| 408× | fma-def_binary64 |
| 369× | pow-prod-down_binary64 |
| 303× | pow2_binary64 |
| 212× | pow-to-exp_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 28 |
| 1 | 220 | 28 |
| 2 | 3134 | 28 |
| 1× | node limit |
| Inputs |
|---|
(expm1.f64 (log1p.f64 (+.f64 x (cos.f64 y)))) |
(log1p.f64 (+.f64 x (cos.f64 y))) |
(-.f64 (expm1.f64 (log1p.f64 (+.f64 x (cos.f64 y)))) (*.f64 z (sin.f64 y))) |
| Outputs |
|---|
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x (cos.f64 y)) (*.f64 (*.f64 (sin.f64 y) (neg.f64 z)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (fma.f64 (*.f64 (sin.f64 y) (neg.f64 z)) 1 (*.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))) (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2) (*.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 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(*.f64 (sin.f64 y) (neg.f64 z))) (+.f64 x (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (sin.f64 y)) z (+.f64 x (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (sqrt.f64 (*.f64 z (sin.f64 y)))) (sqrt.f64 (*.f64 z (sin.f64 y))) (+.f64 x (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (*.f64 z (sin.f64 y)) (+.f64 x (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (+.f64 x (cos.f64 y))) (sqrt.f64 (*.f64 z (sin.f64 y)))) (-.f64 (sqrt.f64 (+.f64 x (cos.f64 y))) (sqrt.f64 (*.f64 z (sin.f64 y)))) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (+.f64 x (cos.f64 y))) (sqrt.f64 (*.f64 z (sin.f64 y)))) (-.f64 (sqrt.f64 (+.f64 x (cos.f64 y))) (sqrt.f64 (*.f64 z (sin.f64 y)))) (fma.f64 (*.f64 (sin.f64 y) (neg.f64 z)) 1 (*.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (+.f64 x (cos.f64 y))) (sqrt.f64 (*.f64 z (sin.f64 y)))) (-.f64 (sqrt.f64 (+.f64 x (cos.f64 y))) (sqrt.f64 (*.f64 z (sin.f64 y)))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))) (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2) (*.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2)) (cbrt.f64 (*.f64 z (sin.f64 y))) (+.f64 x (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (neg.f64 z) 1) (sin.f64 y) (+.f64 x (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (neg.f64 z) (cbrt.f64 (pow.f64 (sin.f64 y) 2))) (cbrt.f64 (sin.f64 y)) (+.f64 x (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (neg.f64 z) (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y)) (+.f64 x (cos.f64 y))))))) |
| 1× | egg-herbie |
| 462× | distribute-rgt-in_binary64 |
| 458× | distribute-lft-in_binary64 |
| 430× | fma-def_binary64 |
| 393× | associate-+l+_binary64 |
| 351× | fma-neg_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 123 | 1209 |
| 1 | 358 | 1168 |
| 2 | 1072 | 1159 |
| 3 | 4463 | 1151 |
| 1× | node limit |
| Inputs |
|---|
(cos.f64 y) |
(+.f64 (cos.f64 y) x) |
(+.f64 (cos.f64 y) x) |
(+.f64 (cos.f64 y) x) |
x |
(+.f64 (cos.f64 y) x) |
(+.f64 (cos.f64 y) x) |
(+.f64 (cos.f64 y) x) |
x |
(+.f64 (cos.f64 y) x) |
(+.f64 (cos.f64 y) x) |
(+.f64 (cos.f64 y) x) |
(+.f64 1 x) |
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 y 2)) x)) |
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (+.f64 (*.f64 1/24 (pow.f64 y 4)) x))) |
(+.f64 (*.f64 -1/720 (pow.f64 y 6)) (+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (+.f64 (*.f64 1/24 (pow.f64 y 4)) x)))) |
(+.f64 (cos.f64 y) x) |
(+.f64 (cos.f64 y) x) |
(+.f64 (cos.f64 y) x) |
(+.f64 (cos.f64 y) x) |
(+.f64 (cos.f64 y) x) |
(+.f64 (cos.f64 y) x) |
(+.f64 (cos.f64 y) x) |
(+.f64 (cos.f64 y) x) |
(log.f64 (+.f64 1 (cos.f64 y))) |
(+.f64 (/.f64 x (+.f64 1 (cos.f64 y))) (log.f64 (+.f64 1 (cos.f64 y)))) |
(+.f64 (/.f64 x (+.f64 1 (cos.f64 y))) (+.f64 (log.f64 (+.f64 1 (cos.f64 y))) (*.f64 -1/2 (/.f64 (pow.f64 x 2) (pow.f64 (+.f64 1 (cos.f64 y)) 2))))) |
(+.f64 (/.f64 x (+.f64 1 (cos.f64 y))) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 3) (pow.f64 (+.f64 1 (cos.f64 y)) 3))) (+.f64 (log.f64 (+.f64 1 (cos.f64 y))) (*.f64 -1/2 (/.f64 (pow.f64 x 2) (pow.f64 (+.f64 1 (cos.f64 y)) 2)))))) |
(*.f64 -1 (log.f64 (/.f64 1 x))) |
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (/.f64 (cos.f64 y) x) (/.f64 1 x))) |
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) (pow.f64 x 2))) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (/.f64 1 x) (/.f64 (cos.f64 y) x)))) |
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) (pow.f64 x 2))) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (/.f64 1 x) (+.f64 (/.f64 (cos.f64 y) x) (*.f64 1/3 (/.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 3) (pow.f64 x 3))))))) |
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) |
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (+.f64 (/.f64 (cos.f64 y) x) (/.f64 1 x)))) |
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) (pow.f64 x 2))) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (+.f64 (/.f64 1 x) (/.f64 (cos.f64 y) x))))) |
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) (pow.f64 x 2))) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (+.f64 (/.f64 1 x) (+.f64 (/.f64 (cos.f64 y) x) (*.f64 1/3 (/.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 3) (pow.f64 x 3)))))))) |
(log.f64 (+.f64 2 x)) |
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 y 2) (+.f64 2 x))) (log.f64 (+.f64 2 x))) |
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 y 2) (+.f64 2 x))) (+.f64 (log.f64 (+.f64 2 x)) (*.f64 1/24 (*.f64 (pow.f64 y 4) (-.f64 (/.f64 1 (+.f64 2 x)) (*.f64 3 (/.f64 1 (pow.f64 (+.f64 2 x) 2)))))))) |
(+.f64 (*.f64 1/720 (*.f64 (-.f64 (*.f64 15 (/.f64 1 (pow.f64 (+.f64 2 x) 2))) (+.f64 (*.f64 30 (/.f64 1 (pow.f64 (+.f64 2 x) 3))) (/.f64 1 (+.f64 2 x)))) (pow.f64 y 6))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 y 2) (+.f64 2 x))) (+.f64 (log.f64 (+.f64 2 x)) (*.f64 1/24 (*.f64 (pow.f64 y 4) (-.f64 (/.f64 1 (+.f64 2 x)) (*.f64 3 (/.f64 1 (pow.f64 (+.f64 2 x) 2))))))))) |
(log.f64 (+.f64 1 (+.f64 (cos.f64 y) x))) |
(log.f64 (+.f64 1 (+.f64 (cos.f64 y) x))) |
(log.f64 (+.f64 1 (+.f64 (cos.f64 y) x))) |
(log.f64 (+.f64 1 (+.f64 (cos.f64 y) x))) |
(log.f64 (+.f64 1 (+.f64 (cos.f64 y) x))) |
(log.f64 (+.f64 1 (+.f64 (cos.f64 y) x))) |
(log.f64 (+.f64 1 (+.f64 (cos.f64 y) x))) |
(log.f64 (+.f64 1 (+.f64 (cos.f64 y) x))) |
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) |
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
x |
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
x |
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(+.f64 1 x) |
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 y z)) x)) |
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 -1/2 (pow.f64 y 2)) x))) |
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 y 3) z)) x)))) |
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(+.f64 (cos.f64 y) x) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x)) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x)) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x)) |
(*.f64 -1 (*.f64 z (sin.f64 y))) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x)) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x)) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x)) |
(*.f64 -1 (*.f64 z (sin.f64 y))) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x)) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x)) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x)) |
| Outputs |
|---|
(cos.f64 y) |
(+.f64 (cos.f64 y) x) |
(+.f64 (cos.f64 y) x) |
(+.f64 (cos.f64 y) x) |
x |
(+.f64 (cos.f64 y) x) |
(+.f64 (cos.f64 y) x) |
(+.f64 (cos.f64 y) x) |
x |
(+.f64 (cos.f64 y) x) |
(+.f64 (cos.f64 y) x) |
(+.f64 (cos.f64 y) x) |
(+.f64 1 x) |
(+.f64 x 1) |
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 y 2)) x)) |
(+.f64 1 (fma.f64 -1/2 (*.f64 y y) x)) |
(+.f64 x (fma.f64 -1/2 (*.f64 y y) 1)) |
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (+.f64 (*.f64 1/24 (pow.f64 y 4)) x))) |
(+.f64 1 (fma.f64 -1/2 (*.f64 y y) (fma.f64 1/24 (pow.f64 y 4) x))) |
(+.f64 1 (fma.f64 y (*.f64 y -1/2) (fma.f64 1/24 (pow.f64 y 4) x))) |
(+.f64 (fma.f64 1/24 (pow.f64 y 4) x) (fma.f64 -1/2 (*.f64 y y) 1)) |
(+.f64 (*.f64 -1/720 (pow.f64 y 6)) (+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (+.f64 (*.f64 1/24 (pow.f64 y 4)) x)))) |
(fma.f64 -1/720 (pow.f64 y 6) (+.f64 1 (fma.f64 -1/2 (*.f64 y y) (fma.f64 1/24 (pow.f64 y 4) x)))) |
(+.f64 (fma.f64 -1/2 (*.f64 y y) (fma.f64 1/24 (pow.f64 y 4) x)) (fma.f64 -1/720 (pow.f64 y 6) 1)) |
(+.f64 1 (fma.f64 -1/720 (pow.f64 y 6) (fma.f64 y (*.f64 y -1/2) (fma.f64 1/24 (pow.f64 y 4) x)))) |
(fma.f64 -1/720 (pow.f64 y 6) (+.f64 (fma.f64 1/24 (pow.f64 y 4) x) (fma.f64 -1/2 (*.f64 y y) 1))) |
(+.f64 (cos.f64 y) x) |
(+.f64 (cos.f64 y) x) |
(+.f64 (cos.f64 y) x) |
(+.f64 (cos.f64 y) x) |
(+.f64 (cos.f64 y) x) |
(+.f64 (cos.f64 y) x) |
(+.f64 (cos.f64 y) x) |
(+.f64 (cos.f64 y) x) |
(log.f64 (+.f64 1 (cos.f64 y))) |
(log1p.f64 (cos.f64 y)) |
(+.f64 (/.f64 x (+.f64 1 (cos.f64 y))) (log.f64 (+.f64 1 (cos.f64 y)))) |
(+.f64 (log1p.f64 (cos.f64 y)) (/.f64 x (+.f64 (cos.f64 y) 1))) |
(+.f64 (/.f64 x (+.f64 1 (cos.f64 y))) (+.f64 (log.f64 (+.f64 1 (cos.f64 y))) (*.f64 -1/2 (/.f64 (pow.f64 x 2) (pow.f64 (+.f64 1 (cos.f64 y)) 2))))) |
(+.f64 (+.f64 (log1p.f64 (cos.f64 y)) (/.f64 x (+.f64 (cos.f64 y) 1))) (/.f64 (*.f64 -1/2 (*.f64 x x)) (pow.f64 (+.f64 (cos.f64 y) 1) 2))) |
(+.f64 (/.f64 x (+.f64 (cos.f64 y) 1)) (fma.f64 -1/2 (/.f64 (*.f64 x x) (pow.f64 (+.f64 (cos.f64 y) 1) 2)) (log1p.f64 (cos.f64 y)))) |
(+.f64 (log1p.f64 (cos.f64 y)) (fma.f64 -1/2 (*.f64 (/.f64 x (pow.f64 (+.f64 (cos.f64 y) 1) 2)) x) (/.f64 x (+.f64 (cos.f64 y) 1)))) |
(+.f64 (log1p.f64 (cos.f64 y)) (*.f64 (+.f64 (/.f64 (*.f64 x -1/2) (+.f64 (cos.f64 y) 1)) 1) (/.f64 x (+.f64 (cos.f64 y) 1)))) |
(+.f64 (/.f64 x (+.f64 1 (cos.f64 y))) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 3) (pow.f64 (+.f64 1 (cos.f64 y)) 3))) (+.f64 (log.f64 (+.f64 1 (cos.f64 y))) (*.f64 -1/2 (/.f64 (pow.f64 x 2) (pow.f64 (+.f64 1 (cos.f64 y)) 2)))))) |
(+.f64 (/.f64 x (+.f64 (cos.f64 y) 1)) (fma.f64 1/3 (/.f64 (pow.f64 x 3) (pow.f64 (+.f64 (cos.f64 y) 1) 3)) (+.f64 (log1p.f64 (cos.f64 y)) (/.f64 (*.f64 -1/2 (*.f64 x x)) (pow.f64 (+.f64 (cos.f64 y) 1) 2))))) |
(+.f64 (/.f64 x (+.f64 (cos.f64 y) 1)) (fma.f64 1/3 (/.f64 (pow.f64 x 3) (pow.f64 (+.f64 (cos.f64 y) 1) 3)) (fma.f64 -1/2 (/.f64 (*.f64 x x) (pow.f64 (+.f64 (cos.f64 y) 1) 2)) (log1p.f64 (cos.f64 y))))) |
(+.f64 (/.f64 x (+.f64 (cos.f64 y) 1)) (fma.f64 -1/2 (*.f64 (/.f64 x (pow.f64 (+.f64 (cos.f64 y) 1) 2)) x) (fma.f64 1/3 (pow.f64 (/.f64 x (+.f64 (cos.f64 y) 1)) 3) (log1p.f64 (cos.f64 y))))) |
(+.f64 (fma.f64 1/3 (pow.f64 (/.f64 x (+.f64 (cos.f64 y) 1)) 3) (log1p.f64 (cos.f64 y))) (*.f64 (+.f64 (/.f64 (*.f64 x -1/2) (+.f64 (cos.f64 y) 1)) 1) (/.f64 x (+.f64 (cos.f64 y) 1)))) |
(*.f64 -1 (log.f64 (/.f64 1 x))) |
(neg.f64 (neg.f64 (log.f64 x))) |
(log.f64 x) |
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (/.f64 (cos.f64 y) x) (/.f64 1 x))) |
(fma.f64 -1 (neg.f64 (log.f64 x)) (+.f64 (/.f64 1 x) (/.f64 (cos.f64 y) x))) |
(+.f64 (/.f64 1 x) (+.f64 (log.f64 x) (/.f64 (cos.f64 y) x))) |
(+.f64 (log.f64 x) (+.f64 (/.f64 1 x) (/.f64 (cos.f64 y) x))) |
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) (pow.f64 x 2))) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (/.f64 1 x) (/.f64 (cos.f64 y) x)))) |
(fma.f64 -1/2 (/.f64 (pow.f64 (+.f64 (cos.f64 y) 1) 2) (*.f64 x x)) (fma.f64 -1 (neg.f64 (log.f64 x)) (+.f64 (/.f64 1 x) (/.f64 (cos.f64 y) x)))) |
(fma.f64 -1/2 (/.f64 (pow.f64 (+.f64 (cos.f64 y) 1) 2) (*.f64 x x)) (+.f64 (/.f64 1 x) (+.f64 (log.f64 x) (/.f64 (cos.f64 y) x)))) |
(+.f64 (+.f64 (/.f64 1 x) (/.f64 (cos.f64 y) x)) (fma.f64 -1/2 (/.f64 (pow.f64 (+.f64 (cos.f64 y) 1) 2) (*.f64 x x)) (log.f64 x))) |
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) (pow.f64 x 2))) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (/.f64 1 x) (+.f64 (/.f64 (cos.f64 y) x) (*.f64 1/3 (/.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 3) (pow.f64 x 3))))))) |
(fma.f64 -1/2 (/.f64 (pow.f64 (+.f64 (cos.f64 y) 1) 2) (*.f64 x x)) (fma.f64 -1 (neg.f64 (log.f64 x)) (+.f64 (+.f64 (/.f64 1 x) (/.f64 (cos.f64 y) x)) (*.f64 1/3 (/.f64 (pow.f64 (+.f64 (cos.f64 y) 1) 3) (pow.f64 x 3)))))) |
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(neg.f64 (neg.f64 (log.f64 x))) |
(log.f64 x) |
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(log.f64 (+.f64 2 x)) |
(log.f64 (+.f64 x 2)) |
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(log.f64 (+.f64 1 (+.f64 (cos.f64 y) x))) |
(log1p.f64 (+.f64 (cos.f64 y) x)) |
(log.f64 (+.f64 1 (+.f64 (cos.f64 y) x))) |
(log1p.f64 (+.f64 (cos.f64 y) x)) |
(log.f64 (+.f64 1 (+.f64 (cos.f64 y) x))) |
(log1p.f64 (+.f64 (cos.f64 y) x)) |
(log.f64 (+.f64 1 (+.f64 (cos.f64 y) x))) |
(log1p.f64 (+.f64 (cos.f64 y) x)) |
(log.f64 (+.f64 1 (+.f64 (cos.f64 y) x))) |
(log1p.f64 (+.f64 (cos.f64 y) x)) |
(log.f64 (+.f64 1 (+.f64 (cos.f64 y) x))) |
(log1p.f64 (+.f64 (cos.f64 y) x)) |
(log.f64 (+.f64 1 (+.f64 (cos.f64 y) x))) |
(log1p.f64 (+.f64 (cos.f64 y) x)) |
(log.f64 (+.f64 1 (+.f64 (cos.f64 y) x))) |
(log1p.f64 (+.f64 (cos.f64 y) x)) |
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(fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) |
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(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
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(fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 (cos.f64 y) x)) |
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(fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 (cos.f64 y) x)) |
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) |
x |
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(+.f64 x (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y))) |
(fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 (cos.f64 y) x)) |
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) |
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(+.f64 x (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y))) |
(fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 (cos.f64 y) x)) |
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) |
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(+.f64 x (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y))) |
(fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 (cos.f64 y) x)) |
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) |
x |
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(+.f64 x (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y))) |
(fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 (cos.f64 y) x)) |
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) |
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(+.f64 x (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y))) |
(fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 (cos.f64 y) x)) |
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) |
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(+.f64 x (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y))) |
(fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 (cos.f64 y) x)) |
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) |
(+.f64 1 x) |
(+.f64 x 1) |
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(-.f64 x (fma.f64 y z -1)) |
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 -1/2 (pow.f64 y 2)) x))) |
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(-.f64 (fma.f64 -1/2 (*.f64 y y) x) (fma.f64 y z -1)) |
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(-.f64 (fma.f64 z (*.f64 1/6 (pow.f64 y 3)) (fma.f64 -1/2 (*.f64 y y) x)) (fma.f64 y z -1)) |
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(fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 (cos.f64 y) x)) |
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(fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 (cos.f64 y) x)) |
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) |
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
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(fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 (cos.f64 y) x)) |
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) |
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
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(fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 (cos.f64 y) x)) |
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(fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 (cos.f64 y) x)) |
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(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
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(fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 (cos.f64 y) x)) |
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(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
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(fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 (cos.f64 y) x)) |
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(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(+.f64 x (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y))) |
(fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 (cos.f64 y) x)) |
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x)) |
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(+.f64 x (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y))) |
(fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 (cos.f64 y) x)) |
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) |
(*.f64 -1 (*.f64 z (sin.f64 y))) |
(neg.f64 (*.f64 z (sin.f64 y))) |
(*.f64 (sin.f64 y) (neg.f64 z)) |
(*.f64 z (neg.f64 (sin.f64 y))) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x)) |
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(+.f64 x (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y))) |
(fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 (cos.f64 y) x)) |
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x)) |
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(+.f64 x (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y))) |
(fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 (cos.f64 y) x)) |
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x)) |
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(+.f64 x (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y))) |
(fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 (cos.f64 y) x)) |
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) |
Compiled 17279 to 8107 computations (53.1% saved)
27 alts after pruning (19 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 842 | 9 | 851 |
| Fresh | 5 | 10 | 15 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 8 | 8 |
| Total | 848 | 27 | 875 |
| Status | Error | Program |
|---|---|---|
| ✓ | 34.8b | (-.f64 x (*.f64 y z)) |
| ✓ | 0.5b | (fma.f64 (*.f64 (neg.f64 z) (cbrt.f64 (pow.f64 (sin.f64 y) 2))) (cbrt.f64 (sin.f64 y)) (+.f64 x (cos.f64 y))) |
| 31.6b | (fma.f64 (*.f64 (neg.f64 z) (pow.f64 (sin.f64 y) 2/3)) (cbrt.f64 (sin.f64 y)) (+.f64 x (cos.f64 y))) | |
| ✓ | 39.9b | (-.f64 x (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)) (*.f64 y z))) |
| ▶ | 40.4b | (-.f64 x (*.f64 (*.f64 z (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y)))) |
| ▶ | 57.5b | (*.f64 y (neg.f64 z)) |
| ✓ | 23.8b | (-.f64 x -1) |
| 31.1b | (*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 z (neg.f64 (sin.f64 y)) (cos.f64 y)) 3)) (/.f64 1 (fma.f64 x x (*.f64 (fma.f64 z (neg.f64 (sin.f64 y)) (cos.f64 y)) (-.f64 (fma.f64 z (neg.f64 (sin.f64 y)) (cos.f64 y)) x))))) | |
| ✓ | 18.8b | (-.f64 x (*.f64 z (sin.f64 y))) |
| 49.7b | (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 z (neg.f64 y)) (*.f64 z (neg.f64 y)))) (-.f64 x (*.f64 z (neg.f64 y)))) | |
| 39.6b | (pow.f64 (sqrt.f64 (-.f64 x (*.f64 z (sin.f64 y)))) 2) | |
| 19.1b | (-.f64 x (*.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (*.f64 (cbrt.f64 (sin.f64 y)) z))) | |
| ▶ | 19.7b | (pow.f64 (cbrt.f64 (-.f64 x (*.f64 z (sin.f64 y)))) 3) |
| 18.6b | (+.f64 (cos.f64 y) x) | |
| ✓ | 34.3b | (-.f64 (log1p.f64 (expm1.f64 (+.f64 x (cos.f64 y)))) (*.f64 z (sin.f64 y))) |
| 33.1b | (-.f64 x (cbrt.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3))) | |
| 14.3b | (-.f64 (+.f64 x (cos.f64 y)) (cbrt.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3))) | |
| ▶ | 0.1b | (-.f64 (-.f64 (+.f64 (+.f64 x (cos.f64 y)) 1) 1) (*.f64 z (sin.f64 y))) |
| ▶ | 44.4b | (*.f64 (sin.f64 y) (neg.f64 z)) |
| ✓ | 0.6b | (fma.f64 (*.f64 (neg.f64 z) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 y))) 2) 3)) (cbrt.f64 (sin.f64 y)) (+.f64 x (cos.f64 y))) |
| 26.1b | (fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y)) | |
| ✓ | 42.0b | (-.f64 x (pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 2)) |
| 39.1b | (-.f64 x (*.f64 (*.f64 (sin.f64 y) (sqrt.f64 z)) (sqrt.f64 z))) | |
| 22.2b | (-.f64 x (-.f64 (*.f64 y z) 1)) | |
| 36.8b | x | |
| 43.1b | (/.f64 1 (/.f64 (+.f64 (*.f64 z (sin.f64 y)) x) (-.f64 (*.f64 x x) (pow.f64 (*.f64 z (sin.f64 y)) 2)))) | |
| 26.1b | (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) |
Compiled 638 to 409 computations (35.9% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (-.f64 (-.f64 (+.f64 (+.f64 x (cos.f64 y)) 1) 1) (*.f64 z (sin.f64 y))) |
| 0.2b | (*.f64 z (sin.f64 y)) | |
| ✓ | 0.2b | (-.f64 (+.f64 (+.f64 x (cos.f64 y)) 1) 1) |
| ✓ | 0.2b | (+.f64 (+.f64 x (cos.f64 y)) 1) |
Compiled 46 to 19 computations (58.7% saved)
21 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (+.f64 (+.f64 x (cos.f64 y)) 1) |
| 0.0ms | x | @ | inf | (+.f64 (+.f64 x (cos.f64 y)) 1) |
| 0.0ms | y | @ | 0 | (+.f64 (+.f64 x (cos.f64 y)) 1) |
| 0.0ms | x | @ | -inf | (+.f64 (+.f64 x (cos.f64 y)) 1) |
| 0.0ms | y | @ | inf | (+.f64 (+.f64 x (cos.f64 y)) 1) |
| 1× | batch-egg-rewrite |
| 799× | fma-def_binary64 |
| 615× | log-prod_binary64 |
| 430× | fma-neg_binary64 |
| 236× | expm1-udef_binary64 |
| 236× | log1p-udef_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 35 |
| 1 | 280 | 29 |
| 2 | 4274 | 29 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 (+.f64 x (cos.f64 y)) 1) |
(-.f64 (+.f64 (+.f64 x (cos.f64 y)) 1) 1) |
(-.f64 (-.f64 (+.f64 (+.f64 x (cos.f64 y)) 1) 1) (*.f64 z (sin.f64 y))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (+.f64 x (cos.f64 y)) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (+.f64 x (-.f64 (cos.f64 y) 1))) (/.f64 1 (+.f64 x (-.f64 (cos.f64 y) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 x (+.f64 (cos.f64 y) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x (+.f64 (cos.f64 y) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 x (+.f64 (cos.f64 y) 1))) (pow.f64 (cbrt.f64 (+.f64 x (+.f64 (cos.f64 y) 1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 x (+.f64 (cos.f64 y) 1))) 2) (cbrt.f64 (+.f64 x (+.f64 (cos.f64 y) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 x (+.f64 (cos.f64 y) 1))) 2) (*.f64 (cbrt.f64 (+.f64 x (+.f64 (cos.f64 y) 1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 x (+.f64 (cos.f64 y) 1))) (sqrt.f64 (+.f64 x (+.f64 (cos.f64 y) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 x (+.f64 (cos.f64 y) 1))) (*.f64 (sqrt.f64 (+.f64 x (+.f64 (cos.f64 y) 1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (pow.f64 (+.f64 x (cos.f64 y)) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (-.f64 1 (+.f64 x (cos.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) -1) (/.f64 1 (+.f64 x (-.f64 (cos.f64 y) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (-.f64 1 (+.f64 x (cos.f64 y)))) (+.f64 1 (pow.f64 (+.f64 x (cos.f64 y)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 x (-.f64 (cos.f64 y) 1)) (+.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (+.f64 x (cos.f64 y)) 3)) (+.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (-.f64 1 (+.f64 x (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (+.f64 x (cos.f64 y)) 3)) (+.f64 1 (-.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (+.f64 x (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) -1) (+.f64 x (-.f64 (cos.f64 y) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 1 (pow.f64 (+.f64 x (cos.f64 y)) 3))) (neg.f64 (+.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (-.f64 1 (+.f64 x (cos.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) -1)) (neg.f64 (+.f64 x (-.f64 (cos.f64 y) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 (cos.f64 y) 1) 3)) (fma.f64 x x (-.f64 (*.f64 (+.f64 (cos.f64 y) 1) (+.f64 (cos.f64 y) 1)) (*.f64 x (+.f64 (cos.f64 y) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (+.f64 x (cos.f64 y)) 2)) (-.f64 1 (+.f64 x (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (*.f64 (+.f64 (cos.f64 y) 1) (+.f64 (cos.f64 y) 1))) (-.f64 x (+.f64 (cos.f64 y) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (pow.f64 (+.f64 x (cos.f64 y)) 3)) 1) (+.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (-.f64 1 (+.f64 x (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) -1) 1) (+.f64 x (-.f64 (cos.f64 y) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x (+.f64 (cos.f64 y) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 x (+.f64 (cos.f64 y) 1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 x (+.f64 (cos.f64 y) 1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 x (+.f64 (cos.f64 y) 1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 x (+.f64 (cos.f64 y) 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 x (+.f64 (cos.f64 y) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 x (+.f64 (cos.f64 y) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (exp.f64 (+.f64 (cos.f64 y) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (+.f64 (cos.f64 y) 1)) (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (+.f64 (cos.f64 y) 1)) (+.f64 1 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 x (+.f64 (cos.f64 y) 1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log.f64 (+.f64 (+.f64 x (cos.f64 y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 x (+.f64 (cos.f64 y) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (+.f64 x (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 (+.f64 x (cos.f64 y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 1 (+.f64 (cos.f64 y) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 1 (*.f64 (+.f64 (cos.f64 y) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cos.f64 y) 1 (+.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 x (cos.f64 y)) 1 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (+.f64 (cos.f64 y) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (*.f64 (+.f64 (cos.f64 y) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (cos.f64 y) (+.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 x (cos.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 (+.f64 x (cos.f64 y)) 2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 (cos.f64 y) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (+.f64 x (cos.f64 y))) (cbrt.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2)) (cbrt.f64 (+.f64 x (cos.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2)) (*.f64 (cbrt.f64 (+.f64 x (cos.f64 y))) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 x) (cbrt.f64 (*.f64 x x)) (+.f64 (cos.f64 y) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 x) (cbrt.f64 (*.f64 x x)) (*.f64 (+.f64 (cos.f64 y) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 x) (+.f64 (cos.f64 y) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 x) (*.f64 (+.f64 (cos.f64 y) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (cos.f64 y)) (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (+.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (cbrt.f64 (cos.f64 y)) (+.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 x (cos.f64 y))) (sqrt.f64 (+.f64 x (cos.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 x (cos.f64 y))) (*.f64 (sqrt.f64 (+.f64 x (cos.f64 y))) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (+.f64 (cos.f64 y) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (+.f64 (cos.f64 y) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (cos.f64 y)) (+.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (expm1.f64 (*.f64 3 (log1p.f64 (+.f64 x (cos.f64 y))))) (/.f64 1 (+.f64 (pow.f64 (+.f64 x (+.f64 (cos.f64 y) 1)) 2) (+.f64 (+.f64 x (cos.f64 y)) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (pow.f64 x 3) (pow.f64 (cos.f64 y) 3)) (/.f64 1 (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) x) (*.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (expm1.f64 (*.f64 2 (log1p.f64 (+.f64 x (cos.f64 y))))) (/.f64 1 (+.f64 (+.f64 x (cos.f64 y)) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (+.f64 x (cos.f64 y)) 2) 1 -1)))) (#(struct:change 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(cos.f64 y)) 2)) (-.f64 1 (fma.f64 z (sin.f64 y) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (expm1.f64 (*.f64 2 (log1p.f64 (+.f64 x (cos.f64 y))))) (/.f64 1 (+.f64 (+.f64 x (cos.f64 y)) 2)) (+.f64 0 (*.f64 z (neg.f64 (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (*.f64 x x) (pow.f64 (cos.f64 y) 2)) (/.f64 1 (-.f64 x (cos.f64 y))) (*.f64 z (neg.f64 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (*.f64 x x) (pow.f64 (cos.f64 y) 2)) (/.f64 1 (-.f64 x (cos.f64 y))) (*.f64 (*.f64 z (neg.f64 (sin.f64 y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (*.f64 x x) (pow.f64 (cos.f64 y) 2)) (/.f64 1 (-.f64 x (cos.f64 y))) (-.f64 1 (fma.f64 z (sin.f64 y) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (*.f64 x x) (pow.f64 (cos.f64 y) 2)) (/.f64 1 (-.f64 x (cos.f64 y))) (+.f64 0 (*.f64 z (neg.f64 (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) -1) (/.f64 1 (+.f64 x (-.f64 (cos.f64 y) 1))) (neg.f64 (fma.f64 z (sin.f64 y) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) -1) (/.f64 1 (+.f64 x (-.f64 (cos.f64 y) 1))) (-.f64 -1 (*.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) -1) (/.f64 1 (+.f64 x (-.f64 (cos.f64 y) 1))) (+.f64 -1 (*.f64 z (neg.f64 (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) -1) (/.f64 1 (+.f64 x (-.f64 (cos.f64 y) 1))) (neg.f64 (-.f64 1 (*.f64 z (neg.f64 (sin.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 x (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 (*.f64 z (neg.f64 (sin.f64 y)))) (cbrt.f64 (*.f64 z (neg.f64 (sin.f64 y))))) (cbrt.f64 (*.f64 z (neg.f64 (sin.f64 y)))) (+.f64 x (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 z (neg.f64 (sin.f64 y)))) (sqrt.f64 (*.f64 z (neg.f64 (sin.f64 y)))) (+.f64 x (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (sin.f64 y)) z (+.f64 x (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (sqrt.f64 (*.f64 z (sin.f64 y)))) (sqrt.f64 (*.f64 z (sin.f64 y))) (+.f64 x (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (+.f64 x (+.f64 (cos.f64 y) 1))) 1) (expm1.f64 (*.f64 1/2 (log1p.f64 (+.f64 x (cos.f64 y))))) (*.f64 z (neg.f64 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (+.f64 x (+.f64 (cos.f64 y) 1))) 1) (expm1.f64 (*.f64 1/2 (log1p.f64 (+.f64 x (cos.f64 y))))) (*.f64 (*.f64 z (neg.f64 (sin.f64 y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (+.f64 x (+.f64 (cos.f64 y) 1))) 1) (expm1.f64 (*.f64 1/2 (log1p.f64 (+.f64 x (cos.f64 y))))) (-.f64 1 (fma.f64 z (sin.f64 y) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (+.f64 x (+.f64 (cos.f64 y) 1))) 1) (expm1.f64 (*.f64 1/2 (log1p.f64 (+.f64 x (cos.f64 y))))) (+.f64 0 (*.f64 z (neg.f64 (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (+.f64 x (cos.f64 y))) (sqrt.f64 (*.f64 z (sin.f64 y)))) (-.f64 (sqrt.f64 (+.f64 x (cos.f64 y))) (sqrt.f64 (*.f64 z (sin.f64 y)))) (fma.f64 (*.f64 z (neg.f64 (sin.f64 y))) 1 (*.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (+.f64 x (cos.f64 y))) (sqrt.f64 (*.f64 z (sin.f64 y)))) (-.f64 (sqrt.f64 (+.f64 x (cos.f64 y))) (sqrt.f64 (*.f64 z (sin.f64 y)))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))) (cbrt.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2)) (*.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (+.f64 x (cos.f64 y))) (sqrt.f64 (*.f64 z (sin.f64 y)))) (-.f64 (sqrt.f64 (+.f64 x (cos.f64 y))) (sqrt.f64 (*.f64 z (sin.f64 y)))) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2))) (cbrt.f64 (*.f64 z (sin.f64 y))) (+.f64 x (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (neg.f64 z) 1) (sin.f64 y) (+.f64 x (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (neg.f64 z) (pow.f64 (cbrt.f64 (sin.f64 y)) 2)) (cbrt.f64 (sin.f64 y)) (+.f64 x (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (neg.f64 z) (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y)) (+.f64 x (cos.f64 y))))))) |
| 1× | egg-herbie |
| 620× | cancel-sign-sub-inv_binary64 |
| 467× | unswap-sqr_binary64 |
| 463× | associate-*l*_binary64 |
| 364× | associate-+l+_binary64 |
| 361× | fma-neg_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 54 | 844 |
| 1 | 154 | 841 |
| 2 | 402 | 841 |
| 3 | 1214 | 835 |
| 4 | 3599 | 833 |
| 5 | 7474 | 833 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 1 (cos.f64 y)) |
(+.f64 1 (+.f64 (cos.f64 y) x)) |
(+.f64 1 (+.f64 (cos.f64 y) x)) |
(+.f64 1 (+.f64 (cos.f64 y) x)) |
x |
(+.f64 1 (+.f64 (cos.f64 y) x)) |
(+.f64 1 (+.f64 (cos.f64 y) x)) |
(+.f64 1 (+.f64 (cos.f64 y) x)) |
x |
(+.f64 1 (+.f64 (cos.f64 y) x)) |
(+.f64 1 (+.f64 (cos.f64 y) x)) |
(+.f64 1 (+.f64 (cos.f64 y) x)) |
(+.f64 2 x) |
(+.f64 2 (+.f64 (*.f64 -1/2 (pow.f64 y 2)) x)) |
(+.f64 2 (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (+.f64 (*.f64 1/24 (pow.f64 y 4)) x))) |
(+.f64 (*.f64 -1/720 (pow.f64 y 6)) (+.f64 2 (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (+.f64 (*.f64 1/24 (pow.f64 y 4)) x)))) |
(+.f64 1 (+.f64 (cos.f64 y) x)) |
(+.f64 1 (+.f64 (cos.f64 y) x)) |
(+.f64 1 (+.f64 (cos.f64 y) x)) |
(+.f64 1 (+.f64 (cos.f64 y) x)) |
(+.f64 1 (+.f64 (cos.f64 y) x)) |
(+.f64 1 (+.f64 (cos.f64 y) x)) |
(+.f64 1 (+.f64 (cos.f64 y) x)) |
(+.f64 1 (+.f64 (cos.f64 y) x)) |
(cos.f64 y) |
(+.f64 (cos.f64 y) x) |
(+.f64 (cos.f64 y) x) |
(+.f64 (cos.f64 y) x) |
x |
(+.f64 (cos.f64 y) x) |
(+.f64 (cos.f64 y) x) |
(+.f64 (cos.f64 y) x) |
x |
(+.f64 (cos.f64 y) x) |
(+.f64 (cos.f64 y) x) |
(+.f64 (cos.f64 y) x) |
(+.f64 1 x) |
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 y 2)) x)) |
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (+.f64 (*.f64 1/24 (pow.f64 y 4)) x))) |
(+.f64 (*.f64 -1/720 (pow.f64 y 6)) (+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (+.f64 (*.f64 1/24 (pow.f64 y 4)) x)))) |
(+.f64 (cos.f64 y) x) |
(+.f64 (cos.f64 y) x) |
(+.f64 (cos.f64 y) x) |
(+.f64 (cos.f64 y) x) |
(+.f64 (cos.f64 y) x) |
(+.f64 (cos.f64 y) x) |
(+.f64 (cos.f64 y) x) |
(+.f64 (cos.f64 y) x) |
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) |
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
x |
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
x |
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(+.f64 1 x) |
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 y z)) x)) |
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 -1/2 (pow.f64 y 2)) x))) |
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 y 3) z)) x)))) |
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(+.f64 (cos.f64 y) x) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x)) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x)) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x)) |
(*.f64 -1 (*.f64 z (sin.f64 y))) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x)) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x)) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x)) |
(*.f64 -1 (*.f64 z (sin.f64 y))) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x)) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x)) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x)) |
| Outputs |
|---|
(+.f64 1 (cos.f64 y)) |
(+.f64 1 (+.f64 (cos.f64 y) x)) |
(+.f64 (cos.f64 y) (+.f64 1 x)) |
(+.f64 1 (+.f64 (cos.f64 y) x)) |
(+.f64 (cos.f64 y) (+.f64 1 x)) |
(+.f64 1 (+.f64 (cos.f64 y) x)) |
(+.f64 (cos.f64 y) (+.f64 1 x)) |
x |
(+.f64 1 (+.f64 (cos.f64 y) x)) |
(+.f64 (cos.f64 y) (+.f64 1 x)) |
(+.f64 1 (+.f64 (cos.f64 y) x)) |
(+.f64 (cos.f64 y) (+.f64 1 x)) |
(+.f64 1 (+.f64 (cos.f64 y) x)) |
(+.f64 (cos.f64 y) (+.f64 1 x)) |
x |
(+.f64 1 (+.f64 (cos.f64 y) x)) |
(+.f64 (cos.f64 y) (+.f64 1 x)) |
(+.f64 1 (+.f64 (cos.f64 y) x)) |
(+.f64 (cos.f64 y) (+.f64 1 x)) |
(+.f64 1 (+.f64 (cos.f64 y) x)) |
(+.f64 (cos.f64 y) (+.f64 1 x)) |
(+.f64 2 x) |
(+.f64 x 2) |
(+.f64 2 (+.f64 (*.f64 -1/2 (pow.f64 y 2)) x)) |
(+.f64 2 (fma.f64 -1/2 (*.f64 y y) x)) |
(+.f64 2 (fma.f64 y (*.f64 y -1/2) x)) |
(+.f64 2 (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (+.f64 (*.f64 1/24 (pow.f64 y 4)) x))) |
(+.f64 2 (fma.f64 -1/2 (*.f64 y y) (fma.f64 1/24 (pow.f64 y 4) x))) |
(+.f64 2 (fma.f64 y (*.f64 y -1/2) (fma.f64 1/24 (pow.f64 y 4) x))) |
(+.f64 (*.f64 -1/720 (pow.f64 y 6)) (+.f64 2 (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (+.f64 (*.f64 1/24 (pow.f64 y 4)) x)))) |
(fma.f64 -1/720 (pow.f64 y 6) (+.f64 2 (fma.f64 -1/2 (*.f64 y y) (fma.f64 1/24 (pow.f64 y 4) x)))) |
(+.f64 (fma.f64 -1/2 (*.f64 y y) (fma.f64 1/24 (pow.f64 y 4) x)) (fma.f64 -1/720 (pow.f64 y 6) 2)) |
(+.f64 2 (fma.f64 -1/720 (pow.f64 y 6) (fma.f64 y (*.f64 y -1/2) (fma.f64 1/24 (pow.f64 y 4) x)))) |
(+.f64 (fma.f64 1/24 (pow.f64 y 4) x) (fma.f64 -1/720 (pow.f64 y 6) (fma.f64 y (*.f64 y -1/2) 2))) |
(+.f64 1 (+.f64 (cos.f64 y) x)) |
(+.f64 (cos.f64 y) (+.f64 1 x)) |
(+.f64 1 (+.f64 (cos.f64 y) x)) |
(+.f64 (cos.f64 y) (+.f64 1 x)) |
(+.f64 1 (+.f64 (cos.f64 y) x)) |
(+.f64 (cos.f64 y) (+.f64 1 x)) |
(+.f64 1 (+.f64 (cos.f64 y) x)) |
(+.f64 (cos.f64 y) (+.f64 1 x)) |
(+.f64 1 (+.f64 (cos.f64 y) x)) |
(+.f64 (cos.f64 y) (+.f64 1 x)) |
(+.f64 1 (+.f64 (cos.f64 y) x)) |
(+.f64 (cos.f64 y) (+.f64 1 x)) |
(+.f64 1 (+.f64 (cos.f64 y) x)) |
(+.f64 (cos.f64 y) (+.f64 1 x)) |
(+.f64 1 (+.f64 (cos.f64 y) x)) |
(+.f64 (cos.f64 y) (+.f64 1 x)) |
(cos.f64 y) |
(+.f64 (cos.f64 y) x) |
(+.f64 (cos.f64 y) x) |
(+.f64 (cos.f64 y) x) |
x |
(+.f64 (cos.f64 y) x) |
(+.f64 (cos.f64 y) x) |
(+.f64 (cos.f64 y) x) |
x |
(+.f64 (cos.f64 y) x) |
(+.f64 (cos.f64 y) x) |
(+.f64 (cos.f64 y) x) |
(+.f64 1 x) |
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 y 2)) x)) |
(+.f64 1 (fma.f64 -1/2 (*.f64 y y) x)) |
(+.f64 1 (fma.f64 y (*.f64 y -1/2) x)) |
(+.f64 x (fma.f64 y (*.f64 y -1/2) 1)) |
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (+.f64 (*.f64 1/24 (pow.f64 y 4)) x))) |
(+.f64 1 (fma.f64 -1/2 (*.f64 y y) (fma.f64 1/24 (pow.f64 y 4) x))) |
(+.f64 1 (fma.f64 y (*.f64 y -1/2) (fma.f64 1/24 (pow.f64 y 4) x))) |
(+.f64 (fma.f64 1/24 (pow.f64 y 4) x) (fma.f64 y (*.f64 y -1/2) 1)) |
(+.f64 (*.f64 -1/720 (pow.f64 y 6)) (+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (+.f64 (*.f64 1/24 (pow.f64 y 4)) x)))) |
(fma.f64 -1/720 (pow.f64 y 6) (+.f64 1 (fma.f64 -1/2 (*.f64 y y) (fma.f64 1/24 (pow.f64 y 4) x)))) |
(+.f64 (fma.f64 -1/2 (*.f64 y y) (fma.f64 1/24 (pow.f64 y 4) x)) (fma.f64 -1/720 (pow.f64 y 6) 1)) |
(+.f64 1 (fma.f64 -1/720 (pow.f64 y 6) (fma.f64 y (*.f64 y -1/2) (fma.f64 1/24 (pow.f64 y 4) x)))) |
(+.f64 (fma.f64 1/24 (pow.f64 y 4) x) (fma.f64 -1/720 (pow.f64 y 6) (fma.f64 y (*.f64 y -1/2) 1))) |
(+.f64 (cos.f64 y) x) |
(+.f64 (cos.f64 y) x) |
(+.f64 (cos.f64 y) x) |
(+.f64 (cos.f64 y) x) |
(+.f64 (cos.f64 y) x) |
(+.f64 (cos.f64 y) x) |
(+.f64 (cos.f64 y) x) |
(+.f64 (cos.f64 y) x) |
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) |
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))) |
(-.f64 (cos.f64 y) (fma.f64 z (sin.f64 y) (neg.f64 x))) |
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))) |
(-.f64 (cos.f64 y) (fma.f64 z (sin.f64 y) (neg.f64 x))) |
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))) |
(-.f64 (cos.f64 y) (fma.f64 z (sin.f64 y) (neg.f64 x))) |
x |
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))) |
(-.f64 (cos.f64 y) (fma.f64 z (sin.f64 y) (neg.f64 x))) |
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))) |
(-.f64 (cos.f64 y) (fma.f64 z (sin.f64 y) (neg.f64 x))) |
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))) |
(-.f64 (cos.f64 y) (fma.f64 z (sin.f64 y) (neg.f64 x))) |
x |
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))) |
(-.f64 (cos.f64 y) (fma.f64 z (sin.f64 y) (neg.f64 x))) |
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))) |
(-.f64 (cos.f64 y) (fma.f64 z (sin.f64 y) (neg.f64 x))) |
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))) |
(-.f64 (cos.f64 y) (fma.f64 z (sin.f64 y) (neg.f64 x))) |
(+.f64 1 x) |
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 y z)) x)) |
(+.f64 1 (fma.f64 -1 (*.f64 y z) x)) |
(+.f64 1 (-.f64 x (*.f64 y z))) |
(-.f64 x (fma.f64 y z -1)) |
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 -1/2 (pow.f64 y 2)) x))) |
(+.f64 1 (fma.f64 -1 (*.f64 y z) (fma.f64 -1/2 (*.f64 y y) x))) |
(+.f64 1 (-.f64 (fma.f64 -1/2 (*.f64 y y) x) (*.f64 y z))) |
(+.f64 1 (-.f64 (fma.f64 y (*.f64 y -1/2) x) (*.f64 y z))) |
(-.f64 (fma.f64 y (*.f64 y -1/2) x) (fma.f64 y z -1)) |
(-.f64 x (fma.f64 y (-.f64 z (*.f64 y -1/2)) -1)) |
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 y 3) z)) x)))) |
(+.f64 1 (fma.f64 -1 (*.f64 y z) (fma.f64 -1/2 (*.f64 y y) (fma.f64 1/6 (*.f64 z (pow.f64 y 3)) x)))) |
(+.f64 (fma.f64 -1/2 (*.f64 y y) (fma.f64 1/6 (*.f64 z (pow.f64 y 3)) x)) (-.f64 1 (*.f64 y z))) |
(+.f64 1 (-.f64 (fma.f64 y (*.f64 y -1/2) (fma.f64 1/6 (*.f64 z (pow.f64 y 3)) x)) (*.f64 y z))) |
(-.f64 (fma.f64 y (*.f64 y -1/2) (fma.f64 z (*.f64 1/6 (pow.f64 y 3)) x)) (fma.f64 y z -1)) |
(-.f64 (fma.f64 z (*.f64 1/6 (pow.f64 y 3)) x) (fma.f64 y (-.f64 z (*.f64 y -1/2)) -1)) |
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))) |
(-.f64 (cos.f64 y) (fma.f64 z (sin.f64 y) (neg.f64 x))) |
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))) |
(-.f64 (cos.f64 y) (fma.f64 z (sin.f64 y) (neg.f64 x))) |
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))) |
(-.f64 (cos.f64 y) (fma.f64 z (sin.f64 y) (neg.f64 x))) |
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))) |
(-.f64 (cos.f64 y) (fma.f64 z (sin.f64 y) (neg.f64 x))) |
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))) |
(-.f64 (cos.f64 y) (fma.f64 z (sin.f64 y) (neg.f64 x))) |
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))) |
(-.f64 (cos.f64 y) (fma.f64 z (sin.f64 y) (neg.f64 x))) |
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))) |
(-.f64 (cos.f64 y) (fma.f64 z (sin.f64 y) (neg.f64 x))) |
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))) |
(-.f64 (cos.f64 y) (fma.f64 z (sin.f64 y) (neg.f64 x))) |
(+.f64 (cos.f64 y) x) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x)) |
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))) |
(-.f64 (cos.f64 y) (fma.f64 z (sin.f64 y) (neg.f64 x))) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x)) |
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))) |
(-.f64 (cos.f64 y) (fma.f64 z (sin.f64 y) (neg.f64 x))) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x)) |
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))) |
(-.f64 (cos.f64 y) (fma.f64 z (sin.f64 y) (neg.f64 x))) |
(*.f64 -1 (*.f64 z (sin.f64 y))) |
(neg.f64 (*.f64 z (sin.f64 y))) |
(*.f64 z (neg.f64 (sin.f64 y))) |
(*.f64 (sin.f64 y) (neg.f64 z)) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x)) |
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))) |
(-.f64 (cos.f64 y) (fma.f64 z (sin.f64 y) (neg.f64 x))) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x)) |
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))) |
(-.f64 (cos.f64 y) (fma.f64 z (sin.f64 y) (neg.f64 x))) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x)) |
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))) |
(-.f64 (cos.f64 y) (fma.f64 z (sin.f64 y) (neg.f64 x))) |
(*.f64 -1 (*.f64 z (sin.f64 y))) |
(neg.f64 (*.f64 z (sin.f64 y))) |
(*.f64 z (neg.f64 (sin.f64 y))) |
(*.f64 (sin.f64 y) (neg.f64 z)) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x)) |
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))) |
(-.f64 (cos.f64 y) (fma.f64 z (sin.f64 y) (neg.f64 x))) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x)) |
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))) |
(-.f64 (cos.f64 y) (fma.f64 z (sin.f64 y) (neg.f64 x))) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x)) |
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))) |
(-.f64 (cos.f64 y) (fma.f64 z (sin.f64 y) (neg.f64 x))) |
Compiled 11 to 5 computations (54.5% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.2b | (*.f64 (sin.f64 y) (neg.f64 z)) |
Compiled 14 to 6 computations (57.1% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | 0 | (*.f64 (sin.f64 y) (neg.f64 z)) |
| 1.0ms | z | @ | 0 | (*.f64 (sin.f64 y) (neg.f64 z)) |
| 0.0ms | y | @ | -inf | (*.f64 (sin.f64 y) (neg.f64 z)) |
| 0.0ms | y | @ | inf | (*.f64 (sin.f64 y) (neg.f64 z)) |
| 0.0ms | z | @ | inf | (*.f64 (sin.f64 y) (neg.f64 z)) |
| 1× | batch-egg-rewrite |
| 495× | pow1_binary64 |
| 474× | add-sqr-sqrt_binary64 |
| 454× | add-log-exp_binary64 |
| 453× | log1p-expm1-u_binary64 |
| 453× | expm1-log1p-u_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 8 |
| 1 | 122 | 6 |
| 2 | 1544 | 6 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (sin.f64 y) (neg.f64 z)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 (sin.f64 y) z))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (sin.f64 y) z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sin.f64 y) z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sin.f64 y) z) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) z)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (sin.f64 y) z)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (sin.f64 y) z))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (sin.f64 y) z) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (sin.f64 y)) z))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sin.f64 y) z) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sin.f64 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sin.f64 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (sin.f64 y) z))))))) |
| 1× | egg-herbie |
| 694× | distribute-rgt-neg-in_binary64 |
| 572× | distribute-lft-neg-in_binary64 |
| 552× | fma-def_binary64 |
| 478× | fma-neg_binary64 |
| 437× | cancel-sign-sub-inv_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 28 | 247 |
| 1 | 78 | 241 |
| 2 | 218 | 228 |
| 3 | 635 | 226 |
| 4 | 2085 | 226 |
| 5 | 4311 | 226 |
| 6 | 6266 | 226 |
| 7 | 7823 | 226 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -1 (*.f64 y z)) |
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 1/6 (*.f64 (pow.f64 y 3) z))) |
(+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 -1/120 (*.f64 (pow.f64 y 5) z)) (*.f64 1/6 (*.f64 (pow.f64 y 3) z)))) |
(+.f64 (*.f64 1/5040 (*.f64 (pow.f64 y 7) z)) (+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 -1/120 (*.f64 (pow.f64 y 5) z)) (*.f64 1/6 (*.f64 (pow.f64 y 3) z))))) |
(*.f64 -1 (*.f64 z (sin.f64 y))) |
(*.f64 -1 (*.f64 z (sin.f64 y))) |
(*.f64 -1 (*.f64 z (sin.f64 y))) |
(*.f64 -1 (*.f64 z (sin.f64 y))) |
(*.f64 -1 (*.f64 z (sin.f64 y))) |
(*.f64 -1 (*.f64 z (sin.f64 y))) |
(*.f64 -1 (*.f64 z (sin.f64 y))) |
(*.f64 -1 (*.f64 z (sin.f64 y))) |
(*.f64 -1 (*.f64 z (sin.f64 y))) |
(*.f64 -1 (*.f64 z (sin.f64 y))) |
(*.f64 -1 (*.f64 z (sin.f64 y))) |
(*.f64 -1 (*.f64 z (sin.f64 y))) |
(*.f64 -1 (*.f64 z (sin.f64 y))) |
(*.f64 -1 (*.f64 z (sin.f64 y))) |
(*.f64 -1 (*.f64 z (sin.f64 y))) |
(*.f64 -1 (*.f64 z (sin.f64 y))) |
(*.f64 -1 (*.f64 z (sin.f64 y))) |
(*.f64 -1 (*.f64 z (sin.f64 y))) |
(*.f64 -1 (*.f64 z (sin.f64 y))) |
(*.f64 -1 (*.f64 z (sin.f64 y))) |
| Outputs |
|---|
(*.f64 -1 (*.f64 y z)) |
(neg.f64 (*.f64 y z)) |
(*.f64 z (neg.f64 y)) |
(*.f64 y (neg.f64 z)) |
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 1/6 (*.f64 (pow.f64 y 3) z))) |
(fma.f64 -1 (*.f64 y z) (*.f64 1/6 (*.f64 z (pow.f64 y 3)))) |
(*.f64 z (+.f64 (neg.f64 y) (*.f64 1/6 (pow.f64 y 3)))) |
(*.f64 z (-.f64 (*.f64 1/6 (pow.f64 y 3)) y)) |
(*.f64 z (fma.f64 1/6 (pow.f64 y 3) (neg.f64 y))) |
(+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 -1/120 (*.f64 (pow.f64 y 5) z)) (*.f64 1/6 (*.f64 (pow.f64 y 3) z)))) |
(fma.f64 -1 (*.f64 y z) (fma.f64 -1/120 (*.f64 z (pow.f64 y 5)) (*.f64 1/6 (*.f64 z (pow.f64 y 3))))) |
(-.f64 (*.f64 z (+.f64 (*.f64 -1/120 (pow.f64 y 5)) (*.f64 1/6 (pow.f64 y 3)))) (*.f64 y z)) |
(*.f64 z (-.f64 (fma.f64 1/6 (pow.f64 y 3) (*.f64 -1/120 (pow.f64 y 5))) y)) |
(*.f64 z (fma.f64 1/6 (pow.f64 y 3) (fma.f64 -1/120 (pow.f64 y 5) (neg.f64 y)))) |
(+.f64 (*.f64 1/5040 (*.f64 (pow.f64 y 7) z)) (+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 -1/120 (*.f64 (pow.f64 y 5) z)) (*.f64 1/6 (*.f64 (pow.f64 y 3) z))))) |
(fma.f64 1/5040 (*.f64 z (pow.f64 y 7)) (fma.f64 -1 (*.f64 y z) (fma.f64 -1/120 (*.f64 z (pow.f64 y 5)) (*.f64 1/6 (*.f64 z (pow.f64 y 3)))))) |
(fma.f64 1/5040 (*.f64 z (pow.f64 y 7)) (-.f64 (*.f64 z (+.f64 (*.f64 -1/120 (pow.f64 y 5)) (*.f64 1/6 (pow.f64 y 3)))) (*.f64 y z))) |
(*.f64 z (+.f64 (fma.f64 1/6 (pow.f64 y 3) (*.f64 -1/120 (pow.f64 y 5))) (-.f64 (*.f64 1/5040 (pow.f64 y 7)) y))) |
(*.f64 z (-.f64 (fma.f64 1/5040 (pow.f64 y 7) (fma.f64 1/6 (pow.f64 y 3) (*.f64 -1/120 (pow.f64 y 5)))) y)) |
(*.f64 z (fma.f64 1/5040 (pow.f64 y 7) (fma.f64 1/6 (pow.f64 y 3) (fma.f64 -1/120 (pow.f64 y 5) (neg.f64 y))))) |
(*.f64 -1 (*.f64 z (sin.f64 y))) |
(neg.f64 (*.f64 z (sin.f64 y))) |
(*.f64 (sin.f64 y) (neg.f64 z)) |
(*.f64 z (neg.f64 (sin.f64 y))) |
(*.f64 -1 (*.f64 z (sin.f64 y))) |
(neg.f64 (*.f64 z (sin.f64 y))) |
(*.f64 (sin.f64 y) (neg.f64 z)) |
(*.f64 z (neg.f64 (sin.f64 y))) |
(*.f64 -1 (*.f64 z (sin.f64 y))) |
(neg.f64 (*.f64 z (sin.f64 y))) |
(*.f64 (sin.f64 y) (neg.f64 z)) |
(*.f64 z (neg.f64 (sin.f64 y))) |
(*.f64 -1 (*.f64 z (sin.f64 y))) |
(neg.f64 (*.f64 z (sin.f64 y))) |
(*.f64 (sin.f64 y) (neg.f64 z)) |
(*.f64 z (neg.f64 (sin.f64 y))) |
(*.f64 -1 (*.f64 z (sin.f64 y))) |
(neg.f64 (*.f64 z (sin.f64 y))) |
(*.f64 (sin.f64 y) (neg.f64 z)) |
(*.f64 z (neg.f64 (sin.f64 y))) |
(*.f64 -1 (*.f64 z (sin.f64 y))) |
(neg.f64 (*.f64 z (sin.f64 y))) |
(*.f64 (sin.f64 y) (neg.f64 z)) |
(*.f64 z (neg.f64 (sin.f64 y))) |
(*.f64 -1 (*.f64 z (sin.f64 y))) |
(neg.f64 (*.f64 z (sin.f64 y))) |
(*.f64 (sin.f64 y) (neg.f64 z)) |
(*.f64 z (neg.f64 (sin.f64 y))) |
(*.f64 -1 (*.f64 z (sin.f64 y))) |
(neg.f64 (*.f64 z (sin.f64 y))) |
(*.f64 (sin.f64 y) (neg.f64 z)) |
(*.f64 z (neg.f64 (sin.f64 y))) |
(*.f64 -1 (*.f64 z (sin.f64 y))) |
(neg.f64 (*.f64 z (sin.f64 y))) |
(*.f64 (sin.f64 y) (neg.f64 z)) |
(*.f64 z (neg.f64 (sin.f64 y))) |
(*.f64 -1 (*.f64 z (sin.f64 y))) |
(neg.f64 (*.f64 z (sin.f64 y))) |
(*.f64 (sin.f64 y) (neg.f64 z)) |
(*.f64 z (neg.f64 (sin.f64 y))) |
(*.f64 -1 (*.f64 z (sin.f64 y))) |
(neg.f64 (*.f64 z (sin.f64 y))) |
(*.f64 (sin.f64 y) (neg.f64 z)) |
(*.f64 z (neg.f64 (sin.f64 y))) |
(*.f64 -1 (*.f64 z (sin.f64 y))) |
(neg.f64 (*.f64 z (sin.f64 y))) |
(*.f64 (sin.f64 y) (neg.f64 z)) |
(*.f64 z (neg.f64 (sin.f64 y))) |
(*.f64 -1 (*.f64 z (sin.f64 y))) |
(neg.f64 (*.f64 z (sin.f64 y))) |
(*.f64 (sin.f64 y) (neg.f64 z)) |
(*.f64 z (neg.f64 (sin.f64 y))) |
(*.f64 -1 (*.f64 z (sin.f64 y))) |
(neg.f64 (*.f64 z (sin.f64 y))) |
(*.f64 (sin.f64 y) (neg.f64 z)) |
(*.f64 z (neg.f64 (sin.f64 y))) |
(*.f64 -1 (*.f64 z (sin.f64 y))) |
(neg.f64 (*.f64 z (sin.f64 y))) |
(*.f64 (sin.f64 y) (neg.f64 z)) |
(*.f64 z (neg.f64 (sin.f64 y))) |
(*.f64 -1 (*.f64 z (sin.f64 y))) |
(neg.f64 (*.f64 z (sin.f64 y))) |
(*.f64 (sin.f64 y) (neg.f64 z)) |
(*.f64 z (neg.f64 (sin.f64 y))) |
(*.f64 -1 (*.f64 z (sin.f64 y))) |
(neg.f64 (*.f64 z (sin.f64 y))) |
(*.f64 (sin.f64 y) (neg.f64 z)) |
(*.f64 z (neg.f64 (sin.f64 y))) |
(*.f64 -1 (*.f64 z (sin.f64 y))) |
(neg.f64 (*.f64 z (sin.f64 y))) |
(*.f64 (sin.f64 y) (neg.f64 z)) |
(*.f64 z (neg.f64 (sin.f64 y))) |
(*.f64 -1 (*.f64 z (sin.f64 y))) |
(neg.f64 (*.f64 z (sin.f64 y))) |
(*.f64 (sin.f64 y) (neg.f64 z)) |
(*.f64 z (neg.f64 (sin.f64 y))) |
(*.f64 -1 (*.f64 z (sin.f64 y))) |
(neg.f64 (*.f64 z (sin.f64 y))) |
(*.f64 (sin.f64 y) (neg.f64 z)) |
(*.f64 z (neg.f64 (sin.f64 y))) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (-.f64 x (*.f64 z (sin.f64 y))) | |
| 0.2b | (*.f64 z (sin.f64 y)) | |
| ✓ | 0.6b | (cbrt.f64 (-.f64 x (*.f64 z (sin.f64 y)))) |
| ✓ | 0.7b | (pow.f64 (cbrt.f64 (-.f64 x (*.f64 z (sin.f64 y)))) 3) |
Compiled 35 to 10 computations (71.4% saved)
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | x | @ | 0 | (pow.f64 (cbrt.f64 (-.f64 x (*.f64 z (sin.f64 y)))) 3) |
| 5.0ms | z | @ | 0 | (pow.f64 (cbrt.f64 (-.f64 x (*.f64 z (sin.f64 y)))) 3) |
| 3.0ms | x | @ | -inf | (cbrt.f64 (-.f64 x (*.f64 z (sin.f64 y)))) |
| 3.0ms | y | @ | 0 | (pow.f64 (cbrt.f64 (-.f64 x (*.f64 z (sin.f64 y)))) 3) |
| 2.0ms | y | @ | inf | (pow.f64 (cbrt.f64 (-.f64 x (*.f64 z (sin.f64 y)))) 3) |
| 1× | batch-egg-rewrite |
| 649× | prod-diff_binary64 |
| 462× | log-prod_binary64 |
| 299× | pow-prod-down_binary64 |
| 251× | pow2_binary64 |
| 237× | fma-def_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 20 |
| 1 | 218 | 20 |
| 2 | 2568 | 20 |
| 1× | node limit |
| Inputs |
|---|
(pow.f64 (cbrt.f64 (-.f64 x (*.f64 z (sin.f64 y)))) 3) |
(cbrt.f64 (-.f64 x (*.f64 z (sin.f64 y)))) |
| Outputs |
|---|
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| 1× | egg-herbie |
| 761× | distribute-lft-in_binary64 |
| 761× | distribute-rgt-in_binary64 |
| 430× | associate-*r*_binary64 |
| 353× | associate-*l*_binary64 |
| 318× | fma-def_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 276 | 2932 |
| 1 | 996 | 2528 |
| 2 | 3889 | 2412 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -1 (*.f64 (pow.f64 1 1/3) (*.f64 z (sin.f64 y)))) |
(+.f64 (*.f64 -1 (*.f64 (pow.f64 1 1/3) (*.f64 z (sin.f64 y)))) (*.f64 (+.f64 (*.f64 2/3 (*.f64 (pow.f64 (*.f64 (pow.f64 1 4) (*.f64 (pow.f64 z 4) (pow.f64 (sin.f64 y) 4))) 1/9) (pow.f64 (pow.f64 (cbrt.f64 -1) 4) 1/3))) (*.f64 1/3 (*.f64 (pow.f64 (*.f64 (pow.f64 1 4) (*.f64 (pow.f64 z 4) (pow.f64 (sin.f64 y) 4))) 1/9) (pow.f64 (pow.f64 (cbrt.f64 -1) 4) 1/3)))) x)) |
(+.f64 (*.f64 (+.f64 (*.f64 2/9 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (*.f64 z (sin.f64 y))) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))) (+.f64 (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (*.f64 z (sin.f64 y))) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))) (*.f64 (pow.f64 (*.f64 1 (*.f64 z (sin.f64 y))) 1/3) (*.f64 (+.f64 (*.f64 1/9 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (*.f64 (pow.f64 z 4) (pow.f64 (sin.f64 y) 4))) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3))) (*.f64 -2/9 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (*.f64 (pow.f64 z 4) (pow.f64 (sin.f64 y) 4))) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3)))) (cbrt.f64 -1))))) (pow.f64 x 2)) (+.f64 (*.f64 -1 (*.f64 (pow.f64 1 1/3) (*.f64 z (sin.f64 y)))) (*.f64 (+.f64 (*.f64 2/3 (*.f64 (pow.f64 (*.f64 (pow.f64 1 4) (*.f64 (pow.f64 z 4) (pow.f64 (sin.f64 y) 4))) 1/9) (pow.f64 (pow.f64 (cbrt.f64 -1) 4) 1/3))) (*.f64 1/3 (*.f64 (pow.f64 (*.f64 (pow.f64 1 4) (*.f64 (pow.f64 z 4) (pow.f64 (sin.f64 y) 4))) 1/9) (pow.f64 (pow.f64 (cbrt.f64 -1) 4) 1/3)))) x))) |
(+.f64 (*.f64 (+.f64 (*.f64 2/9 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (*.f64 z (sin.f64 y))) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))) (+.f64 (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (*.f64 z (sin.f64 y))) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))) (*.f64 (pow.f64 (*.f64 1 (*.f64 z (sin.f64 y))) 1/3) (*.f64 (+.f64 (*.f64 1/9 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (*.f64 (pow.f64 z 4) (pow.f64 (sin.f64 y) 4))) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3))) (*.f64 -2/9 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (*.f64 (pow.f64 z 4) (pow.f64 (sin.f64 y) 4))) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3)))) (cbrt.f64 -1))))) (pow.f64 x 2)) (+.f64 (*.f64 (+.f64 (*.f64 (pow.f64 (*.f64 1 (*.f64 z (sin.f64 y))) 1/3) (*.f64 (cbrt.f64 -1) (+.f64 (*.f64 -1/3 (*.f64 (/.f64 (+.f64 (*.f64 1/27 (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))) 1/3) (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)))) (*.f64 -2/9 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) (pow.f64 (/.f64 1 (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))) 1/3))))) (cbrt.f64 -1)) (pow.f64 (/.f64 1 (*.f64 z (sin.f64 y))) 1/3))) (+.f64 (*.f64 2/27 (*.f64 (pow.f64 1 1/9) (/.f64 1 (*.f64 z (sin.f64 y))))) (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (*.f64 z (sin.f64 y))) 1/3) (/.f64 (+.f64 (*.f64 1/27 (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))) 1/3) (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)))) (*.f64 -2/9 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) (pow.f64 (/.f64 1 (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))) 1/3))))) (cbrt.f64 -1)))))))) (+.f64 (*.f64 -2/27 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) (pow.f64 (/.f64 1 (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))) 1/3)))) (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 1 1/3) (+.f64 (*.f64 1/27 (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))) 1/3) (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)))) (*.f64 -2/9 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) (pow.f64 (/.f64 1 (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))) 1/3))))))) (*.f64 1/3 (*.f64 (+.f64 (*.f64 1/9 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (*.f64 (pow.f64 z 4) (pow.f64 (sin.f64 y) 4))) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3))) (*.f64 -2/9 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (*.f64 (pow.f64 z 4) (pow.f64 (sin.f64 y) 4))) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3)))) (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3))))))) (pow.f64 x 3)) (+.f64 (*.f64 -1 (*.f64 (pow.f64 1 1/3) (*.f64 z (sin.f64 y)))) (*.f64 (+.f64 (*.f64 2/3 (*.f64 (pow.f64 (*.f64 (pow.f64 1 4) (*.f64 (pow.f64 z 4) (pow.f64 (sin.f64 y) 4))) 1/9) (pow.f64 (pow.f64 (cbrt.f64 -1) 4) 1/3))) (*.f64 1/3 (*.f64 (pow.f64 (*.f64 (pow.f64 1 4) (*.f64 (pow.f64 z 4) (pow.f64 (sin.f64 y) 4))) 1/9) (pow.f64 (pow.f64 (cbrt.f64 -1) 4) 1/3)))) x)))) |
(*.f64 (pow.f64 1 1/3) x) |
(+.f64 (*.f64 (pow.f64 1 1/3) x) (*.f64 z (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (*.f64 1 (pow.f64 x 4)) 1/9) (sin.f64 y))) (*.f64 -2/3 (*.f64 (pow.f64 (*.f64 1 (pow.f64 x 4)) 1/9) (sin.f64 y)))))) |
(+.f64 (*.f64 (pow.f64 1 1/3) x) (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 -2/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 4)) 1/9) (pow.f64 (sin.f64 y) 2))) (*.f64 1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 4)) 1/9) (pow.f64 (sin.f64 y) 2)))) (pow.f64 (*.f64 1 x) 1/3)) (+.f64 (*.f64 2/9 (*.f64 (pow.f64 (/.f64 1 x) 1/9) (pow.f64 (sin.f64 y) 2))) (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 1 x) 1/9) (pow.f64 (sin.f64 y) 2))))) (pow.f64 z 2)) (*.f64 z (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (*.f64 1 (pow.f64 x 4)) 1/9) (sin.f64 y))) (*.f64 -2/3 (*.f64 (pow.f64 (*.f64 1 (pow.f64 x 4)) 1/9) (sin.f64 y))))))) |
(+.f64 (*.f64 (pow.f64 1 1/3) x) (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 -2/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 4)) 1/9) (pow.f64 (sin.f64 y) 2))) (*.f64 1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 4)) 1/9) (pow.f64 (sin.f64 y) 2)))) (pow.f64 (*.f64 1 x) 1/3)) (+.f64 (*.f64 2/9 (*.f64 (pow.f64 (/.f64 1 x) 1/9) (pow.f64 (sin.f64 y) 2))) (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 1 x) 1/9) (pow.f64 (sin.f64 y) 2))))) (pow.f64 z 2)) (+.f64 (*.f64 z (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (*.f64 1 (pow.f64 x 4)) 1/9) (sin.f64 y))) (*.f64 -2/3 (*.f64 (pow.f64 (*.f64 1 (pow.f64 x 4)) 1/9) (sin.f64 y))))) (*.f64 (+.f64 (*.f64 (pow.f64 (*.f64 1 x) 1/3) (+.f64 (*.f64 -2/3 (*.f64 (pow.f64 (/.f64 1 x) 1/3) (+.f64 (*.f64 2/9 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3)))) (*.f64 -1/27 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3) (pow.f64 (sin.f64 y) 3)))))) (*.f64 2/27 (*.f64 (pow.f64 1 1/9) (/.f64 (pow.f64 (sin.f64 y) 3) x))))) (+.f64 (*.f64 -1/3 (*.f64 (*.f64 (+.f64 (*.f64 -2/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 4)) 1/9) (pow.f64 (sin.f64 y) 2))) (*.f64 1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 4)) 1/9) (pow.f64 (sin.f64 y) 2)))) (sin.f64 y)) (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/9))) (+.f64 (*.f64 2/27 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3)))) (*.f64 -1/3 (*.f64 (pow.f64 1 1/3) (+.f64 (*.f64 2/9 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3)))) (*.f64 -1/27 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3) (pow.f64 (sin.f64 y) 3))))))))) (pow.f64 z 3))))) |
(*.f64 (pow.f64 1 1/3) x) |
(+.f64 (*.f64 (+.f64 (*.f64 -2/3 (*.f64 (pow.f64 (*.f64 1 (pow.f64 x 4)) 1/9) z)) (*.f64 -1/3 (*.f64 (pow.f64 (*.f64 1 (pow.f64 x 4)) 1/9) z))) y) (*.f64 (pow.f64 1 1/3) x)) |
(+.f64 (*.f64 (+.f64 (*.f64 -2/3 (*.f64 (pow.f64 (*.f64 1 (pow.f64 x 4)) 1/9) z)) (*.f64 -1/3 (*.f64 (pow.f64 (*.f64 1 (pow.f64 x 4)) 1/9) z))) y) (+.f64 (*.f64 (pow.f64 1 1/3) x) (*.f64 (pow.f64 y 2) (+.f64 (*.f64 2/9 (*.f64 (pow.f64 (/.f64 1 x) 1/9) (pow.f64 z 2))) (+.f64 (*.f64 (pow.f64 (*.f64 1 x) 1/3) (+.f64 (*.f64 1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 4)) 1/9) (pow.f64 z 2))) (*.f64 -2/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 4)) 1/9) (pow.f64 z 2))))) (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 1 x) 1/9) (pow.f64 z 2)))))))) |
(+.f64 (*.f64 (+.f64 (*.f64 -2/3 (*.f64 (pow.f64 (*.f64 1 (pow.f64 x 4)) 1/9) z)) (*.f64 -1/3 (*.f64 (pow.f64 (*.f64 1 (pow.f64 x 4)) 1/9) z))) y) (+.f64 (*.f64 (pow.f64 1 1/3) x) (+.f64 (*.f64 (pow.f64 y 2) (+.f64 (*.f64 2/9 (*.f64 (pow.f64 (/.f64 1 x) 1/9) (pow.f64 z 2))) (+.f64 (*.f64 (pow.f64 (*.f64 1 x) 1/3) (+.f64 (*.f64 1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 4)) 1/9) (pow.f64 z 2))) (*.f64 -2/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 4)) 1/9) (pow.f64 z 2))))) (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 1 x) 1/9) (pow.f64 z 2)))))) (*.f64 (pow.f64 y 3) (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 1 1/3) (+.f64 (*.f64 -1/6 z) (+.f64 (*.f64 2/9 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (*.f64 (pow.f64 z 3) (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3)))) (*.f64 -1/27 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3) (pow.f64 z 3))))))) (+.f64 (*.f64 (pow.f64 (*.f64 1 x) 1/3) (+.f64 (*.f64 -2/3 (*.f64 (pow.f64 (/.f64 1 x) 1/3) (+.f64 (*.f64 -1/6 z) (+.f64 (*.f64 2/9 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (*.f64 (pow.f64 z 3) (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3)))) (*.f64 -1/27 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3) (pow.f64 z 3))))))) (*.f64 2/27 (*.f64 (pow.f64 1 1/9) (/.f64 (pow.f64 z 3) x))))) (+.f64 (*.f64 2/27 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (*.f64 (pow.f64 z 3) (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3)))) (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/9) (*.f64 z (+.f64 (*.f64 1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 4)) 1/9) (pow.f64 z 2))) (*.f64 -2/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 4)) 1/9) (pow.f64 z 2)))))))))))))) |
(*.f64 (pow.f64 1 1/3) (-.f64 x (*.f64 z (sin.f64 y)))) |
(*.f64 (pow.f64 1 1/3) (-.f64 x (*.f64 z (sin.f64 y)))) |
(*.f64 (pow.f64 1 1/3) (-.f64 x (*.f64 z (sin.f64 y)))) |
(*.f64 (pow.f64 1 1/3) (-.f64 x (*.f64 z (sin.f64 y)))) |
(*.f64 (pow.f64 1 1/3) (-.f64 x (*.f64 z (sin.f64 y)))) |
(*.f64 (pow.f64 1 1/3) (-.f64 x (*.f64 z (sin.f64 y)))) |
(*.f64 (pow.f64 1 1/3) (-.f64 x (*.f64 z (sin.f64 y)))) |
(*.f64 (pow.f64 1 1/3) (-.f64 x (*.f64 z (sin.f64 y)))) |
(*.f64 (pow.f64 (*.f64 1 (*.f64 z (sin.f64 y))) 1/3) (cbrt.f64 -1)) |
(+.f64 (*.f64 (pow.f64 (*.f64 1 (*.f64 z (sin.f64 y))) 1/3) (cbrt.f64 -1)) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))) 1/9) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3) x)))) |
(+.f64 (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (*.f64 (pow.f64 z 7) (pow.f64 (sin.f64 y) 7))) 1/9) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 7)) 1/3) (pow.f64 x 2)))) (+.f64 (*.f64 (pow.f64 (*.f64 1 (*.f64 z (sin.f64 y))) 1/3) (cbrt.f64 -1)) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))) 1/9) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3) x))))) |
(+.f64 (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (*.f64 (pow.f64 z 7) (pow.f64 (sin.f64 y) 7))) 1/9) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 7)) 1/3) (pow.f64 x 2)))) (+.f64 (*.f64 (pow.f64 (*.f64 1 (*.f64 z (sin.f64 y))) 1/3) (cbrt.f64 -1)) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))) 1/9) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3) x))) (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))) 1/3) (/.f64 (*.f64 (+.f64 (*.f64 1/27 (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))) 1/3) (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)))) (*.f64 -2/9 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) (pow.f64 (/.f64 1 (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))) 1/3))))) (pow.f64 x 3)) (pow.f64 (cbrt.f64 -1) 2))))))) |
(pow.f64 x 1/3) |
(+.f64 (pow.f64 x 1/3) (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/9) (*.f64 z (sin.f64 y))))) |
(+.f64 (pow.f64 x 1/3) (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/9) (*.f64 z (sin.f64 y)))) (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 7)) 1/9) (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)))))) |
(+.f64 (pow.f64 x 1/3) (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/9) (*.f64 z (sin.f64 y)))) (+.f64 (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 7)) 1/9) (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)))) (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3) (*.f64 (pow.f64 z 3) (+.f64 (*.f64 2/9 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3)))) (*.f64 -1/27 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3) (pow.f64 (sin.f64 y) 3)))))))))) |
(pow.f64 x 1/3) |
(+.f64 (pow.f64 x 1/3) (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/9) (*.f64 y z)))) |
(+.f64 (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 7)) 1/9) (*.f64 (pow.f64 y 2) (pow.f64 z 2)))) (+.f64 (pow.f64 x 1/3) (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/9) (*.f64 y z))))) |
(+.f64 (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 7)) 1/9) (*.f64 (pow.f64 y 2) (pow.f64 z 2)))) (+.f64 (pow.f64 x 1/3) (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3) (*.f64 (pow.f64 y 3) (+.f64 (*.f64 -1/6 z) (+.f64 (*.f64 2/9 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (*.f64 (pow.f64 z 3) (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3)))) (*.f64 -1/27 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3) (pow.f64 z 3)))))))) (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/9) (*.f64 y z)))))) |
(pow.f64 (-.f64 x (*.f64 z (sin.f64 y))) 1/3) |
(pow.f64 (-.f64 x (*.f64 z (sin.f64 y))) 1/3) |
(pow.f64 (-.f64 x (*.f64 z (sin.f64 y))) 1/3) |
(pow.f64 (-.f64 x (*.f64 z (sin.f64 y))) 1/3) |
(pow.f64 (-.f64 x (*.f64 z (sin.f64 y))) 1/3) |
(pow.f64 (-.f64 x (*.f64 z (sin.f64 y))) 1/3) |
(pow.f64 (-.f64 x (*.f64 z (sin.f64 y))) 1/3) |
(pow.f64 (-.f64 x (*.f64 z (sin.f64 y))) 1/3) |
| Outputs |
|---|
(*.f64 -1 (*.f64 (pow.f64 1 1/3) (*.f64 z (sin.f64 y)))) |
(neg.f64 (*.f64 z (sin.f64 y))) |
(*.f64 z (neg.f64 (sin.f64 y))) |
(+.f64 (*.f64 -1 (*.f64 (pow.f64 1 1/3) (*.f64 z (sin.f64 y)))) (*.f64 (+.f64 (*.f64 2/3 (*.f64 (pow.f64 (*.f64 (pow.f64 1 4) (*.f64 (pow.f64 z 4) (pow.f64 (sin.f64 y) 4))) 1/9) (pow.f64 (pow.f64 (cbrt.f64 -1) 4) 1/3))) (*.f64 1/3 (*.f64 (pow.f64 (*.f64 (pow.f64 1 4) (*.f64 (pow.f64 z 4) (pow.f64 (sin.f64 y) 4))) 1/9) (pow.f64 (pow.f64 (cbrt.f64 -1) 4) 1/3)))) x)) |
(fma.f64 -1 (*.f64 z (sin.f64 y)) (*.f64 (*.f64 (*.f64 (*.f64 (pow.f64 (*.f64 (pow.f64 z 4) (pow.f64 (sin.f64 y) 4)) 1/18) (pow.f64 (*.f64 (pow.f64 z 4) (pow.f64 (sin.f64 y) 4)) 1/18)) (cbrt.f64 (pow.f64 (cbrt.f64 -1) 4))) 1) x)) |
(-.f64 (*.f64 (*.f64 (*.f64 (pow.f64 (*.f64 (pow.f64 z 4) (pow.f64 (sin.f64 y) 4)) 1/18) (pow.f64 (*.f64 (pow.f64 z 4) (pow.f64 (sin.f64 y) 4)) 1/18)) (cbrt.f64 (pow.f64 (cbrt.f64 -1) 4))) x) (*.f64 z (sin.f64 y))) |
(-.f64 (*.f64 (*.f64 (pow.f64 (*.f64 (pow.f64 z 4) (pow.f64 (sin.f64 y) 4)) 1/18) (*.f64 (pow.f64 (*.f64 (pow.f64 z 4) (pow.f64 (sin.f64 y) 4)) 1/18) (cbrt.f64 (*.f64 -1 (cbrt.f64 -1))))) x) (*.f64 z (sin.f64 y))) |
(+.f64 (*.f64 (+.f64 (*.f64 2/9 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (*.f64 z (sin.f64 y))) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))) (+.f64 (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (*.f64 z (sin.f64 y))) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))) (*.f64 (pow.f64 (*.f64 1 (*.f64 z (sin.f64 y))) 1/3) (*.f64 (+.f64 (*.f64 1/9 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (*.f64 (pow.f64 z 4) (pow.f64 (sin.f64 y) 4))) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3))) (*.f64 -2/9 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (*.f64 (pow.f64 z 4) (pow.f64 (sin.f64 y) 4))) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3)))) (cbrt.f64 -1))))) (pow.f64 x 2)) (+.f64 (*.f64 -1 (*.f64 (pow.f64 1 1/3) (*.f64 z (sin.f64 y)))) (*.f64 (+.f64 (*.f64 2/3 (*.f64 (pow.f64 (*.f64 (pow.f64 1 4) (*.f64 (pow.f64 z 4) (pow.f64 (sin.f64 y) 4))) 1/9) (pow.f64 (pow.f64 (cbrt.f64 -1) 4) 1/3))) (*.f64 1/3 (*.f64 (pow.f64 (*.f64 (pow.f64 1 4) (*.f64 (pow.f64 z 4) (pow.f64 (sin.f64 y) 4))) 1/9) (pow.f64 (pow.f64 (cbrt.f64 -1) 4) 1/3)))) x))) |
(fma.f64 (fma.f64 2/9 (*.f64 (*.f64 (pow.f64 (/.f64 (/.f64 1 z) (sin.f64 y)) 1/18) (pow.f64 (/.f64 (/.f64 1 z) (sin.f64 y)) 1/18)) (cbrt.f64 (/.f64 1 (cbrt.f64 -1)))) (fma.f64 -1/9 (*.f64 (*.f64 (pow.f64 (/.f64 (/.f64 1 z) (sin.f64 y)) 1/18) (pow.f64 (/.f64 (/.f64 1 z) (sin.f64 y)) 1/18)) (cbrt.f64 (/.f64 1 (cbrt.f64 -1)))) (*.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) (*.f64 (cbrt.f64 -1) (*.f64 (*.f64 (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 z 4) (pow.f64 (sin.f64 y) 4))) 1/18) (pow.f64 (/.f64 1 (*.f64 (pow.f64 z 4) (pow.f64 (sin.f64 y) 4))) 1/18)) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)))) -1/9))))) (*.f64 x x) (fma.f64 -1 (*.f64 z (sin.f64 y)) (*.f64 (*.f64 (*.f64 (*.f64 (pow.f64 (*.f64 (pow.f64 z 4) (pow.f64 (sin.f64 y) 4)) 1/18) (pow.f64 (*.f64 (pow.f64 z 4) (pow.f64 (sin.f64 y) 4)) 1/18)) (cbrt.f64 (pow.f64 (cbrt.f64 -1) 4))) 1) x))) |
(fma.f64 (+.f64 (*.f64 (cbrt.f64 -1) (*.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 z 4) (pow.f64 (sin.f64 y) 4))) 1/18) (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 z 4) (pow.f64 (sin.f64 y) 4))) 1/18) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)))))))) (*.f64 (*.f64 (pow.f64 (/.f64 1 (*.f64 z (sin.f64 y))) 1/18) (*.f64 (pow.f64 (/.f64 1 (*.f64 z (sin.f64 y))) 1/18) (cbrt.f64 (/.f64 1 (cbrt.f64 -1))))) 1/9)) (*.f64 x x) (-.f64 (*.f64 (*.f64 (*.f64 (pow.f64 (*.f64 (pow.f64 z 4) (pow.f64 (sin.f64 y) 4)) 1/18) (pow.f64 (*.f64 (pow.f64 z 4) (pow.f64 (sin.f64 y) 4)) 1/18)) (cbrt.f64 (pow.f64 (cbrt.f64 -1) 4))) x) (*.f64 z (sin.f64 y)))) |
(-.f64 (*.f64 x (+.f64 (*.f64 x (+.f64 (*.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) (*.f64 (*.f64 (pow.f64 (/.f64 (/.f64 1 (pow.f64 z 4)) (pow.f64 (sin.f64 y) 4)) 1/18) (*.f64 (pow.f64 (/.f64 (/.f64 1 (pow.f64 z 4)) (pow.f64 (sin.f64 y) 4)) 1/18) (cbrt.f64 (/.f64 1 (*.f64 -1 (cbrt.f64 -1)))))) (*.f64 -1/9 (cbrt.f64 -1)))) (*.f64 (*.f64 (pow.f64 (/.f64 1 (*.f64 z (sin.f64 y))) 1/18) (*.f64 (pow.f64 (/.f64 1 (*.f64 z (sin.f64 y))) 1/18) (cbrt.f64 (/.f64 1 (cbrt.f64 -1))))) 1/9))) (*.f64 (pow.f64 (*.f64 (pow.f64 z 4) (pow.f64 (sin.f64 y) 4)) 1/18) (*.f64 (pow.f64 (*.f64 (pow.f64 z 4) (pow.f64 (sin.f64 y) 4)) 1/18) (cbrt.f64 (*.f64 -1 (cbrt.f64 -1))))))) (*.f64 z (sin.f64 y))) |
(+.f64 (*.f64 (+.f64 (*.f64 2/9 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (*.f64 z (sin.f64 y))) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))) (+.f64 (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (*.f64 z (sin.f64 y))) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))) (*.f64 (pow.f64 (*.f64 1 (*.f64 z (sin.f64 y))) 1/3) (*.f64 (+.f64 (*.f64 1/9 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (*.f64 (pow.f64 z 4) (pow.f64 (sin.f64 y) 4))) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3))) (*.f64 -2/9 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (*.f64 (pow.f64 z 4) (pow.f64 (sin.f64 y) 4))) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3)))) (cbrt.f64 -1))))) (pow.f64 x 2)) (+.f64 (*.f64 (+.f64 (*.f64 (pow.f64 (*.f64 1 (*.f64 z (sin.f64 y))) 1/3) (*.f64 (cbrt.f64 -1) (+.f64 (*.f64 -1/3 (*.f64 (/.f64 (+.f64 (*.f64 1/27 (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))) 1/3) (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)))) (*.f64 -2/9 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) (pow.f64 (/.f64 1 (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))) 1/3))))) (cbrt.f64 -1)) (pow.f64 (/.f64 1 (*.f64 z (sin.f64 y))) 1/3))) (+.f64 (*.f64 2/27 (*.f64 (pow.f64 1 1/9) (/.f64 1 (*.f64 z (sin.f64 y))))) (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (*.f64 z (sin.f64 y))) 1/3) (/.f64 (+.f64 (*.f64 1/27 (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))) 1/3) (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)))) (*.f64 -2/9 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) (pow.f64 (/.f64 1 (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))) 1/3))))) (cbrt.f64 -1)))))))) (+.f64 (*.f64 -2/27 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) (pow.f64 (/.f64 1 (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))) 1/3)))) (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 1 1/3) (+.f64 (*.f64 1/27 (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))) 1/3) (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)))) (*.f64 -2/9 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) (pow.f64 (/.f64 1 (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))) 1/3))))))) (*.f64 1/3 (*.f64 (+.f64 (*.f64 1/9 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (*.f64 (pow.f64 z 4) (pow.f64 (sin.f64 y) 4))) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3))) (*.f64 -2/9 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (*.f64 (pow.f64 z 4) (pow.f64 (sin.f64 y) 4))) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3)))) (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3))))))) (pow.f64 x 3)) (+.f64 (*.f64 -1 (*.f64 (pow.f64 1 1/3) (*.f64 z (sin.f64 y)))) (*.f64 (+.f64 (*.f64 2/3 (*.f64 (pow.f64 (*.f64 (pow.f64 1 4) (*.f64 (pow.f64 z 4) (pow.f64 (sin.f64 y) 4))) 1/9) (pow.f64 (pow.f64 (cbrt.f64 -1) 4) 1/3))) (*.f64 1/3 (*.f64 (pow.f64 (*.f64 (pow.f64 1 4) (*.f64 (pow.f64 z 4) (pow.f64 (sin.f64 y) 4))) 1/9) (pow.f64 (pow.f64 (cbrt.f64 -1) 4) 1/3)))) x)))) |
(fma.f64 (fma.f64 2/9 (*.f64 (*.f64 (pow.f64 (/.f64 (/.f64 1 z) (sin.f64 y)) 1/18) (pow.f64 (/.f64 (/.f64 1 z) (sin.f64 y)) 1/18)) (cbrt.f64 (/.f64 1 (cbrt.f64 -1)))) (fma.f64 -1/9 (*.f64 (*.f64 (pow.f64 (/.f64 (/.f64 1 z) (sin.f64 y)) 1/18) (pow.f64 (/.f64 (/.f64 1 z) (sin.f64 y)) 1/18)) (cbrt.f64 (/.f64 1 (cbrt.f64 -1)))) (*.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) (*.f64 (cbrt.f64 -1) (*.f64 (*.f64 (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 z 4) (pow.f64 (sin.f64 y) 4))) 1/18) (pow.f64 (/.f64 1 (*.f64 (pow.f64 z 4) (pow.f64 (sin.f64 y) 4))) 1/18)) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)))) -1/9))))) (*.f64 x x) (fma.f64 (fma.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) (*.f64 (cbrt.f64 -1) (fma.f64 -1/3 (*.f64 (/.f64 (fma.f64 1/27 (*.f64 (cbrt.f64 (/.f64 (/.f64 1 (*.f64 z z)) (pow.f64 (sin.f64 y) 2))) (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))) (*.f64 -2/9 (*.f64 (cbrt.f64 (/.f64 (/.f64 1 (*.f64 z z)) (pow.f64 (sin.f64 y) 2))) (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))))) (cbrt.f64 -1)) (cbrt.f64 (/.f64 (/.f64 1 z) (sin.f64 y)))) (fma.f64 2/27 (/.f64 (/.f64 1 z) (sin.f64 y)) (*.f64 (*.f64 -1/3 (/.f64 (fma.f64 1/27 (*.f64 (cbrt.f64 (/.f64 (/.f64 1 (*.f64 z z)) (pow.f64 (sin.f64 y) 2))) (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))) (*.f64 -2/9 (*.f64 (cbrt.f64 (/.f64 (/.f64 1 (*.f64 z z)) (pow.f64 (sin.f64 y) 2))) (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))))) (cbrt.f64 -1))) (cbrt.f64 (/.f64 (/.f64 1 z) (sin.f64 y))))))) (+.f64 (+.f64 (*.f64 -2/27 (*.f64 (cbrt.f64 (/.f64 (/.f64 1 (*.f64 z z)) (pow.f64 (sin.f64 y) 2))) (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)))) (*.f64 -1/3 (fma.f64 1/27 (*.f64 (cbrt.f64 (/.f64 (/.f64 1 (*.f64 z z)) (pow.f64 (sin.f64 y) 2))) (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))) (*.f64 -2/9 (*.f64 (cbrt.f64 (/.f64 (/.f64 1 (*.f64 z z)) (pow.f64 (sin.f64 y) 2))) (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))))))) (*.f64 1/3 (*.f64 (*.f64 (*.f64 (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 z 4) (pow.f64 (sin.f64 y) 4))) 1/18) (pow.f64 (/.f64 1 (*.f64 (pow.f64 z 4) (pow.f64 (sin.f64 y) 4))) 1/18)) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)))) -1/9) (*.f64 (*.f64 (pow.f64 (/.f64 (/.f64 1 (*.f64 z z)) (pow.f64 (sin.f64 y) 2)) 1/18) (pow.f64 (/.f64 (/.f64 1 (*.f64 z z)) (pow.f64 (sin.f64 y) 2)) 1/18)) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)))))))) (pow.f64 x 3) (fma.f64 -1 (*.f64 z (sin.f64 y)) (*.f64 (*.f64 (*.f64 (*.f64 (pow.f64 (*.f64 (pow.f64 z 4) (pow.f64 (sin.f64 y) 4)) 1/18) (pow.f64 (*.f64 (pow.f64 z 4) (pow.f64 (sin.f64 y) 4)) 1/18)) (cbrt.f64 (pow.f64 (cbrt.f64 -1) 4))) 1) x)))) |
(fma.f64 (+.f64 (*.f64 (cbrt.f64 -1) (*.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 z 4) (pow.f64 (sin.f64 y) 4))) 1/18) (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 z 4) (pow.f64 (sin.f64 y) 4))) 1/18) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)))))))) (*.f64 (*.f64 (pow.f64 (/.f64 1 (*.f64 z (sin.f64 y))) 1/18) (*.f64 (pow.f64 (/.f64 1 (*.f64 z (sin.f64 y))) 1/18) (cbrt.f64 (/.f64 1 (cbrt.f64 -1))))) 1/9)) (*.f64 x x) (fma.f64 (fma.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) (*.f64 (cbrt.f64 -1) (fma.f64 -1/3 (/.f64 (*.f64 (/.f64 (cbrt.f64 (/.f64 1 (*.f64 (*.f64 z z) (pow.f64 (sin.f64 y) 2)))) (pow.f64 (cbrt.f64 -1) 2)) -5/27) (/.f64 (cbrt.f64 -1) (cbrt.f64 (/.f64 1 (*.f64 z (sin.f64 y)))))) (fma.f64 -1/3 (/.f64 (*.f64 (/.f64 (cbrt.f64 (/.f64 1 (*.f64 (*.f64 z z) (pow.f64 (sin.f64 y) 2)))) (pow.f64 (cbrt.f64 -1) 2)) -5/27) (/.f64 (cbrt.f64 -1) (cbrt.f64 (/.f64 1 (*.f64 z (sin.f64 y)))))) (/.f64 2/27 (*.f64 z (sin.f64 y)))))) (fma.f64 (/.f64 (cbrt.f64 (/.f64 1 (*.f64 (*.f64 z z) (pow.f64 (sin.f64 y) 2)))) (pow.f64 (cbrt.f64 -1) 2)) -2/27 (fma.f64 1/3 (*.f64 (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 z 4) (pow.f64 (sin.f64 y) 4))) 1/18) (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 z 4) (pow.f64 (sin.f64 y) 4))) 1/18) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)))))) (*.f64 (*.f64 (pow.f64 (/.f64 1 (*.f64 (*.f64 z z) (pow.f64 (sin.f64 y) 2))) 1/18) (pow.f64 (/.f64 1 (*.f64 (*.f64 z z) (pow.f64 (sin.f64 y) 2))) 1/18)) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))))) (*.f64 -1/3 (*.f64 (/.f64 (cbrt.f64 (/.f64 1 (*.f64 (*.f64 z z) (pow.f64 (sin.f64 y) 2)))) (pow.f64 (cbrt.f64 -1) 2)) -5/27))))) (pow.f64 x 3) (-.f64 (*.f64 (*.f64 (*.f64 (pow.f64 (*.f64 (pow.f64 z 4) (pow.f64 (sin.f64 y) 4)) 1/18) (pow.f64 (*.f64 (pow.f64 z 4) (pow.f64 (sin.f64 y) 4)) 1/18)) (cbrt.f64 (pow.f64 (cbrt.f64 -1) 4))) x) (*.f64 z (sin.f64 y))))) |
(fma.f64 (+.f64 (*.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) (*.f64 (*.f64 (pow.f64 (/.f64 (/.f64 1 (pow.f64 z 4)) (pow.f64 (sin.f64 y) 4)) 1/18) (*.f64 (pow.f64 (/.f64 (/.f64 1 (pow.f64 z 4)) (pow.f64 (sin.f64 y) 4)) 1/18) (cbrt.f64 (/.f64 1 (*.f64 -1 (cbrt.f64 -1)))))) (*.f64 -1/9 (cbrt.f64 -1)))) (*.f64 (*.f64 (pow.f64 (/.f64 1 (*.f64 z (sin.f64 y))) 1/18) (*.f64 (pow.f64 (/.f64 1 (*.f64 z (sin.f64 y))) 1/18) (cbrt.f64 (/.f64 1 (cbrt.f64 -1))))) 1/9)) (*.f64 x x) (fma.f64 (fma.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) (*.f64 (cbrt.f64 -1) (+.f64 (/.f64 2/27 (*.f64 z (sin.f64 y))) (*.f64 (*.f64 (/.f64 (cbrt.f64 (/.f64 1 (*.f64 z (sin.f64 y)))) (cbrt.f64 -1)) (*.f64 (/.f64 (cbrt.f64 (/.f64 (/.f64 1 (*.f64 z z)) (pow.f64 (sin.f64 y) 2))) (pow.f64 (cbrt.f64 -1) 2)) -5/27)) -2/3))) (fma.f64 (/.f64 (cbrt.f64 (/.f64 (/.f64 1 (*.f64 z z)) (pow.f64 (sin.f64 y) 2))) (pow.f64 (cbrt.f64 -1) 2)) -2/27 (fma.f64 1/3 (*.f64 (*.f64 (pow.f64 (/.f64 (/.f64 1 (pow.f64 z 4)) (pow.f64 (sin.f64 y) 4)) 1/18) (*.f64 (pow.f64 (/.f64 (/.f64 1 (pow.f64 z 4)) (pow.f64 (sin.f64 y) 4)) 1/18) (cbrt.f64 (/.f64 1 (*.f64 -1 (cbrt.f64 -1)))))) (*.f64 -1/9 (*.f64 (*.f64 (pow.f64 (/.f64 (/.f64 1 (*.f64 z z)) (pow.f64 (sin.f64 y) 2)) 1/18) (pow.f64 (/.f64 (/.f64 1 (*.f64 z z)) (pow.f64 (sin.f64 y) 2)) 1/18)) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)))))) (*.f64 -1/3 (*.f64 (/.f64 (cbrt.f64 (/.f64 (/.f64 1 (*.f64 z z)) (pow.f64 (sin.f64 y) 2))) (pow.f64 (cbrt.f64 -1) 2)) -5/27))))) (pow.f64 x 3) (-.f64 (*.f64 (*.f64 (pow.f64 (*.f64 (pow.f64 z 4) (pow.f64 (sin.f64 y) 4)) 1/18) (*.f64 (pow.f64 (*.f64 (pow.f64 z 4) (pow.f64 (sin.f64 y) 4)) 1/18) (cbrt.f64 (*.f64 -1 (cbrt.f64 -1))))) x) (*.f64 z (sin.f64 y))))) |
(*.f64 (pow.f64 1 1/3) x) |
x |
(+.f64 (*.f64 (pow.f64 1 1/3) x) (*.f64 z (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (*.f64 1 (pow.f64 x 4)) 1/9) (sin.f64 y))) (*.f64 -2/3 (*.f64 (pow.f64 (*.f64 1 (pow.f64 x 4)) 1/9) (sin.f64 y)))))) |
(+.f64 x (*.f64 z (*.f64 (*.f64 (sin.f64 y) (*.f64 (pow.f64 (pow.f64 x 4) 1/18) (pow.f64 (pow.f64 x 4) 1/18))) -1))) |
(fma.f64 z (*.f64 -1 (*.f64 (sin.f64 y) (*.f64 (pow.f64 (pow.f64 x 4) 1/18) (pow.f64 (pow.f64 x 4) 1/18)))) x) |
(fma.f64 z (neg.f64 (*.f64 (sin.f64 y) (*.f64 (pow.f64 (pow.f64 x 4) 1/18) (pow.f64 (pow.f64 x 4) 1/18)))) x) |
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(*.f64 (pow.f64 1 1/3) x) |
x |
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(fma.f64 (*.f64 (*.f64 z (*.f64 (pow.f64 (pow.f64 x 4) 1/18) (pow.f64 (pow.f64 x 4) 1/18))) -1) y x) |
(fma.f64 y (*.f64 (*.f64 (pow.f64 (pow.f64 x 4) 1/18) (pow.f64 (pow.f64 x 4) 1/18)) (*.f64 z -1)) x) |
(fma.f64 y (*.f64 (*.f64 (pow.f64 (pow.f64 x 4) 1/18) (pow.f64 (pow.f64 x 4) 1/18)) (neg.f64 z)) x) |
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(+.f64 (fma.f64 y (*.f64 (*.f64 (pow.f64 (pow.f64 x 4) 1/18) (pow.f64 (pow.f64 x 4) 1/18)) (neg.f64 z)) x) (*.f64 (*.f64 y y) (+.f64 (+.f64 (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 4)) 1/18) (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 4)) 1/18) (*.f64 z z))) (*.f64 -1/9 (cbrt.f64 x))) (*.f64 (*.f64 z z) (*.f64 (*.f64 (pow.f64 (/.f64 1 x) 1/18) (pow.f64 (/.f64 1 x) 1/18)) 1/9))) (*.f64 (+.f64 (fma.f64 -1/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (*.f64 x x)) 1/18) (pow.f64 (/.f64 1 (*.f64 x x)) 1/18)) (*.f64 (pow.f64 z 3) (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 x 4)) 1/18)) -1/9))) (*.f64 2/27 (*.f64 (cbrt.f64 (/.f64 1 (*.f64 x x))) (pow.f64 z 3)))) (+.f64 (*.f64 (fma.f64 z -1/6 (*.f64 (*.f64 (cbrt.f64 (/.f64 1 (*.f64 x x))) (pow.f64 z 3)) 5/27)) (+.f64 -1/3 (*.f64 (cbrt.f64 x) (*.f64 -2/3 (cbrt.f64 (/.f64 1 x)))))) (*.f64 (cbrt.f64 x) (*.f64 (pow.f64 z 3) (/.f64 2/27 x))))) y)))) |
(*.f64 (pow.f64 1 1/3) (-.f64 x (*.f64 z (sin.f64 y)))) |
(*.f64 1 (-.f64 x (*.f64 z (sin.f64 y)))) |
(-.f64 x (*.f64 z (sin.f64 y))) |
(*.f64 (pow.f64 1 1/3) (-.f64 x (*.f64 z (sin.f64 y)))) |
(*.f64 1 (-.f64 x (*.f64 z (sin.f64 y)))) |
(-.f64 x (*.f64 z (sin.f64 y))) |
(*.f64 (pow.f64 1 1/3) (-.f64 x (*.f64 z (sin.f64 y)))) |
(*.f64 1 (-.f64 x (*.f64 z (sin.f64 y)))) |
(-.f64 x (*.f64 z (sin.f64 y))) |
(*.f64 (pow.f64 1 1/3) (-.f64 x (*.f64 z (sin.f64 y)))) |
(*.f64 1 (-.f64 x (*.f64 z (sin.f64 y)))) |
(-.f64 x (*.f64 z (sin.f64 y))) |
(*.f64 (pow.f64 1 1/3) (-.f64 x (*.f64 z (sin.f64 y)))) |
(*.f64 1 (-.f64 x (*.f64 z (sin.f64 y)))) |
(-.f64 x (*.f64 z (sin.f64 y))) |
(*.f64 (pow.f64 1 1/3) (-.f64 x (*.f64 z (sin.f64 y)))) |
(*.f64 1 (-.f64 x (*.f64 z (sin.f64 y)))) |
(-.f64 x (*.f64 z (sin.f64 y))) |
(*.f64 (pow.f64 1 1/3) (-.f64 x (*.f64 z (sin.f64 y)))) |
(*.f64 1 (-.f64 x (*.f64 z (sin.f64 y)))) |
(-.f64 x (*.f64 z (sin.f64 y))) |
(*.f64 (pow.f64 1 1/3) (-.f64 x (*.f64 z (sin.f64 y)))) |
(*.f64 1 (-.f64 x (*.f64 z (sin.f64 y)))) |
(-.f64 x (*.f64 z (sin.f64 y))) |
(*.f64 (pow.f64 (*.f64 1 (*.f64 z (sin.f64 y))) 1/3) (cbrt.f64 -1)) |
(*.f64 (cbrt.f64 -1) (cbrt.f64 (*.f64 z (sin.f64 y)))) |
(+.f64 (*.f64 (pow.f64 (*.f64 1 (*.f64 z (sin.f64 y))) 1/3) (cbrt.f64 -1)) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))) 1/9) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3) x)))) |
(fma.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) (cbrt.f64 -1) (*.f64 1/3 (*.f64 (*.f64 (pow.f64 (/.f64 (/.f64 1 (*.f64 z z)) (pow.f64 (sin.f64 y) 2)) 1/18) (pow.f64 (/.f64 (/.f64 1 (*.f64 z z)) (pow.f64 (sin.f64 y) 2)) 1/18)) (*.f64 x (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))))))) |
(fma.f64 (cbrt.f64 -1) (cbrt.f64 (*.f64 z (sin.f64 y))) (*.f64 (*.f64 (pow.f64 (/.f64 1 (*.f64 (*.f64 z z) (pow.f64 (sin.f64 y) 2))) 1/18) (pow.f64 (/.f64 1 (*.f64 (*.f64 z z) (pow.f64 (sin.f64 y) 2))) 1/18)) (*.f64 (*.f64 x (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)))) 1/3))) |
(fma.f64 1/3 (*.f64 (*.f64 (*.f64 x (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)))) (pow.f64 (/.f64 (/.f64 1 (*.f64 z z)) (pow.f64 (sin.f64 y) 2)) 1/18)) (pow.f64 (/.f64 (/.f64 1 (*.f64 z z)) (pow.f64 (sin.f64 y) 2)) 1/18)) (*.f64 (cbrt.f64 -1) (cbrt.f64 (*.f64 z (sin.f64 y))))) |
(+.f64 (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (*.f64 (pow.f64 z 7) (pow.f64 (sin.f64 y) 7))) 1/9) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 7)) 1/3) (pow.f64 x 2)))) (+.f64 (*.f64 (pow.f64 (*.f64 1 (*.f64 z (sin.f64 y))) 1/3) (cbrt.f64 -1)) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))) 1/9) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3) x))))) |
(fma.f64 -1/9 (*.f64 (*.f64 (pow.f64 (/.f64 (/.f64 1 (pow.f64 z 7)) (pow.f64 (sin.f64 y) 7)) 1/18) (pow.f64 (/.f64 (/.f64 1 (pow.f64 z 7)) (pow.f64 (sin.f64 y) 7)) 1/18)) (*.f64 (*.f64 x x) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 7))))) (fma.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) (cbrt.f64 -1) (*.f64 1/3 (*.f64 (*.f64 (pow.f64 (/.f64 (/.f64 1 (*.f64 z z)) (pow.f64 (sin.f64 y) 2)) 1/18) (pow.f64 (/.f64 (/.f64 1 (*.f64 z z)) (pow.f64 (sin.f64 y) 2)) 1/18)) (*.f64 x (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)))))))) |
(fma.f64 (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 z 7) (pow.f64 (sin.f64 y) 7))) 1/18) (pow.f64 (/.f64 1 (*.f64 (pow.f64 z 7) (pow.f64 (sin.f64 y) 7))) 1/18))) (*.f64 (*.f64 x x) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 7)))) (fma.f64 (cbrt.f64 -1) (cbrt.f64 (*.f64 z (sin.f64 y))) (*.f64 (*.f64 (pow.f64 (/.f64 1 (*.f64 (*.f64 z z) (pow.f64 (sin.f64 y) 2))) 1/18) (pow.f64 (/.f64 1 (*.f64 (*.f64 z z) (pow.f64 (sin.f64 y) 2))) 1/18)) (*.f64 (*.f64 x (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)))) 1/3)))) |
(fma.f64 -1/9 (*.f64 (*.f64 x x) (*.f64 (*.f64 (pow.f64 (/.f64 (/.f64 1 (pow.f64 z 7)) (pow.f64 (sin.f64 y) 7)) 1/18) (pow.f64 (/.f64 (/.f64 1 (pow.f64 z 7)) (pow.f64 (sin.f64 y) 7)) 1/18)) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 7))))) (fma.f64 1/3 (*.f64 (*.f64 (*.f64 x (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)))) (pow.f64 (/.f64 (/.f64 1 (*.f64 z z)) (pow.f64 (sin.f64 y) 2)) 1/18)) (pow.f64 (/.f64 (/.f64 1 (*.f64 z z)) (pow.f64 (sin.f64 y) 2)) 1/18)) (*.f64 (cbrt.f64 -1) (cbrt.f64 (*.f64 z (sin.f64 y)))))) |
(+.f64 (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (*.f64 (pow.f64 z 7) (pow.f64 (sin.f64 y) 7))) 1/9) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 7)) 1/3) (pow.f64 x 2)))) (+.f64 (*.f64 (pow.f64 (*.f64 1 (*.f64 z (sin.f64 y))) 1/3) (cbrt.f64 -1)) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))) 1/9) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3) x))) (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))) 1/3) (/.f64 (*.f64 (+.f64 (*.f64 1/27 (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))) 1/3) (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)))) (*.f64 -2/9 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) (pow.f64 (/.f64 1 (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))) 1/3))))) (pow.f64 x 3)) (pow.f64 (cbrt.f64 -1) 2))))))) |
(fma.f64 -1/9 (*.f64 (*.f64 (pow.f64 (/.f64 (/.f64 1 (pow.f64 z 7)) (pow.f64 (sin.f64 y) 7)) 1/18) (pow.f64 (/.f64 (/.f64 1 (pow.f64 z 7)) (pow.f64 (sin.f64 y) 7)) 1/18)) (*.f64 (*.f64 x x) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 7))))) (fma.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) (cbrt.f64 -1) (fma.f64 1/3 (*.f64 (*.f64 (pow.f64 (/.f64 (/.f64 1 (*.f64 z z)) (pow.f64 (sin.f64 y) 2)) 1/18) (pow.f64 (/.f64 (/.f64 1 (*.f64 z z)) (pow.f64 (sin.f64 y) 2)) 1/18)) (*.f64 x (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))))) (*.f64 (*.f64 -1/3 (cbrt.f64 (/.f64 (/.f64 1 (*.f64 z z)) (pow.f64 (sin.f64 y) 2)))) (/.f64 (fma.f64 1/27 (*.f64 (cbrt.f64 (/.f64 (/.f64 1 (*.f64 z z)) (pow.f64 (sin.f64 y) 2))) (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))) (*.f64 -2/9 (*.f64 (cbrt.f64 (/.f64 (/.f64 1 (*.f64 z z)) (pow.f64 (sin.f64 y) 2))) (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))))) (/.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 x 3))))))) |
(fma.f64 -1/9 (*.f64 (*.f64 x x) (*.f64 (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 z 7) (pow.f64 (sin.f64 y) 7))) 1/18) (pow.f64 (/.f64 1 (*.f64 (pow.f64 z 7) (pow.f64 (sin.f64 y) 7))) 1/18)) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 7))))) (fma.f64 (cbrt.f64 -1) (cbrt.f64 (*.f64 z (sin.f64 y))) (fma.f64 1/3 (*.f64 x (*.f64 (*.f64 (pow.f64 (/.f64 1 (*.f64 (*.f64 z z) (pow.f64 (sin.f64 y) 2))) 1/18) (pow.f64 (/.f64 1 (*.f64 (*.f64 z z) (pow.f64 (sin.f64 y) 2))) 1/18)) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))))) (*.f64 -1/3 (*.f64 (cbrt.f64 (/.f64 1 (*.f64 (*.f64 z z) (pow.f64 (sin.f64 y) 2)))) (/.f64 (*.f64 (/.f64 (cbrt.f64 (/.f64 1 (*.f64 (*.f64 z z) (pow.f64 (sin.f64 y) 2)))) (pow.f64 (cbrt.f64 -1) 2)) -5/27) (/.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 x 3)))))))) |
(fma.f64 -1/9 (*.f64 (*.f64 x x) (*.f64 (*.f64 (pow.f64 (/.f64 (/.f64 1 (pow.f64 z 7)) (pow.f64 (sin.f64 y) 7)) 1/18) (pow.f64 (/.f64 (/.f64 1 (pow.f64 z 7)) (pow.f64 (sin.f64 y) 7)) 1/18)) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 7))))) (fma.f64 (cbrt.f64 -1) (cbrt.f64 (*.f64 z (sin.f64 y))) (fma.f64 1/3 (*.f64 (*.f64 (*.f64 x (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)))) (pow.f64 (/.f64 (/.f64 1 (*.f64 z z)) (pow.f64 (sin.f64 y) 2)) 1/18)) (pow.f64 (/.f64 (/.f64 1 (*.f64 z z)) (pow.f64 (sin.f64 y) 2)) 1/18)) (*.f64 (*.f64 (/.f64 (pow.f64 x 3) (pow.f64 (cbrt.f64 -1) 2)) (*.f64 (/.f64 (cbrt.f64 (/.f64 (/.f64 1 (*.f64 z z)) (pow.f64 (sin.f64 y) 2))) (pow.f64 (cbrt.f64 -1) 2)) -5/27)) (*.f64 -1/3 (cbrt.f64 (/.f64 (/.f64 1 (*.f64 z z)) (pow.f64 (sin.f64 y) 2)))))))) |
(pow.f64 x 1/3) |
(cbrt.f64 x) |
(+.f64 (pow.f64 x 1/3) (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/9) (*.f64 z (sin.f64 y))))) |
(+.f64 (cbrt.f64 x) (*.f64 (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (*.f64 x x)) 1/18) (pow.f64 (/.f64 1 (*.f64 x x)) 1/18))) (*.f64 z (sin.f64 y)))) |
(fma.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (*.f64 x x)) 1/18) (*.f64 (pow.f64 (/.f64 1 (*.f64 x x)) 1/18) (*.f64 z (sin.f64 y)))) (cbrt.f64 x)) |
(fma.f64 -1/3 (*.f64 (sin.f64 y) (*.f64 (pow.f64 (/.f64 1 (*.f64 x x)) 1/18) (*.f64 (pow.f64 (/.f64 1 (*.f64 x x)) 1/18) z))) (cbrt.f64 x)) |
(+.f64 (pow.f64 x 1/3) (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/9) (*.f64 z (sin.f64 y)))) (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 7)) 1/9) (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)))))) |
(+.f64 (cbrt.f64 x) (fma.f64 -1/3 (*.f64 (*.f64 z (sin.f64 y)) (*.f64 (pow.f64 (/.f64 1 (*.f64 x x)) 1/18) (pow.f64 (/.f64 1 (*.f64 x x)) 1/18))) (*.f64 (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 x 7)) 1/18))) (*.f64 (*.f64 z z) (pow.f64 (sin.f64 y) 2))))) |
(+.f64 (cbrt.f64 x) (fma.f64 -1/9 (*.f64 (*.f64 z z) (*.f64 (pow.f64 (sin.f64 y) 2) (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 x 7)) 1/18)))) (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (*.f64 x x)) 1/18) (*.f64 (pow.f64 (/.f64 1 (*.f64 x x)) 1/18) (*.f64 z (sin.f64 y))))))) |
(+.f64 (fma.f64 -1/3 (*.f64 (sin.f64 y) (*.f64 (pow.f64 (/.f64 1 (*.f64 x x)) 1/18) (*.f64 (pow.f64 (/.f64 1 (*.f64 x x)) 1/18) z))) (cbrt.f64 x)) (*.f64 (*.f64 (*.f64 z z) (pow.f64 (sin.f64 y) 2)) (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 x 7)) 1/18))))) |
(+.f64 (pow.f64 x 1/3) (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/9) (*.f64 z (sin.f64 y)))) (+.f64 (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 7)) 1/9) (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)))) (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3) (*.f64 (pow.f64 z 3) (+.f64 (*.f64 2/9 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3)))) (*.f64 -1/27 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3) (pow.f64 (sin.f64 y) 3)))))))))) |
(+.f64 (cbrt.f64 x) (fma.f64 -1/3 (*.f64 (*.f64 z (sin.f64 y)) (*.f64 (pow.f64 (/.f64 1 (*.f64 x x)) 1/18) (pow.f64 (/.f64 1 (*.f64 x x)) 1/18))) (fma.f64 -1/9 (*.f64 (*.f64 (*.f64 z z) (pow.f64 (sin.f64 y) 2)) (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 x 7)) 1/18))) (*.f64 -1/3 (*.f64 (*.f64 (cbrt.f64 (/.f64 1 (*.f64 x x))) (pow.f64 z 3)) (+.f64 (*.f64 2/9 (*.f64 (pow.f64 (sin.f64 y) 3) (cbrt.f64 (/.f64 1 (*.f64 x x))))) (*.f64 (*.f64 -1/27 (cbrt.f64 (/.f64 1 (*.f64 x x)))) (pow.f64 (sin.f64 y) 3)))))))) |
(+.f64 (cbrt.f64 x) (fma.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (*.f64 x x)) 1/18) (*.f64 (pow.f64 (/.f64 1 (*.f64 x x)) 1/18) (*.f64 z (sin.f64 y)))) (fma.f64 -1/9 (*.f64 (*.f64 z z) (*.f64 (pow.f64 (sin.f64 y) 2) (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 x 7)) 1/18)))) (*.f64 -1/3 (*.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 y) 3) (cbrt.f64 (/.f64 1 (*.f64 x x)))) 5/27) (*.f64 (cbrt.f64 (/.f64 1 (*.f64 x x))) (pow.f64 z 3))))))) |
(+.f64 (fma.f64 -1/3 (*.f64 (sin.f64 y) (*.f64 (pow.f64 (/.f64 1 (*.f64 x x)) 1/18) (*.f64 (pow.f64 (/.f64 1 (*.f64 x x)) 1/18) z))) (cbrt.f64 x)) (fma.f64 -1/9 (*.f64 (*.f64 z z) (*.f64 (pow.f64 (sin.f64 y) 2) (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 x 7)) 1/18)))) (*.f64 (*.f64 (*.f64 (pow.f64 z 3) (*.f64 (pow.f64 (sin.f64 y) 3) (cbrt.f64 (/.f64 1 (*.f64 x x))))) 5/27) (*.f64 -1/3 (cbrt.f64 (/.f64 1 (*.f64 x x))))))) |
(pow.f64 x 1/3) |
(cbrt.f64 x) |
(+.f64 (pow.f64 x 1/3) (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/9) (*.f64 y z)))) |
(+.f64 (cbrt.f64 x) (*.f64 -1/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (*.f64 x x)) 1/18) (pow.f64 (/.f64 1 (*.f64 x x)) 1/18)) (*.f64 z y)))) |
(fma.f64 -1/3 (*.f64 y (*.f64 (pow.f64 (/.f64 1 (*.f64 x x)) 1/18) (*.f64 (pow.f64 (/.f64 1 (*.f64 x x)) 1/18) z))) (cbrt.f64 x)) |
(+.f64 (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 7)) 1/9) (*.f64 (pow.f64 y 2) (pow.f64 z 2)))) (+.f64 (pow.f64 x 1/3) (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/9) (*.f64 y z))))) |
(fma.f64 -1/9 (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 x 7)) 1/18)) (*.f64 (*.f64 z z) (*.f64 y y))) (+.f64 (cbrt.f64 x) (*.f64 -1/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (*.f64 x x)) 1/18) (pow.f64 (/.f64 1 (*.f64 x x)) 1/18)) (*.f64 z y))))) |
(fma.f64 -1/9 (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 x 7)) 1/18)) (*.f64 (*.f64 z y) (*.f64 z y))) (fma.f64 -1/3 (*.f64 y (*.f64 (pow.f64 (/.f64 1 (*.f64 x x)) 1/18) (*.f64 (pow.f64 (/.f64 1 (*.f64 x x)) 1/18) z))) (cbrt.f64 x))) |
(fma.f64 -1/9 (*.f64 (*.f64 (*.f64 z (*.f64 z (*.f64 y y))) (pow.f64 (/.f64 1 (pow.f64 x 7)) 1/18)) (pow.f64 (/.f64 1 (pow.f64 x 7)) 1/18)) (fma.f64 -1/3 (*.f64 y (*.f64 (pow.f64 (/.f64 1 (*.f64 x x)) 1/18) (*.f64 (pow.f64 (/.f64 1 (*.f64 x x)) 1/18) z))) (cbrt.f64 x))) |
(+.f64 (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 7)) 1/9) (*.f64 (pow.f64 y 2) (pow.f64 z 2)))) (+.f64 (pow.f64 x 1/3) (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3) (*.f64 (pow.f64 y 3) (+.f64 (*.f64 -1/6 z) (+.f64 (*.f64 2/9 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (*.f64 (pow.f64 z 3) (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3)))) (*.f64 -1/27 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3) (pow.f64 z 3)))))))) (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/9) (*.f64 y z)))))) |
(fma.f64 -1/9 (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 x 7)) 1/18)) (*.f64 (*.f64 z z) (*.f64 y y))) (+.f64 (cbrt.f64 x) (*.f64 -1/3 (+.f64 (*.f64 (cbrt.f64 (/.f64 1 (*.f64 x x))) (*.f64 (pow.f64 y 3) (fma.f64 -1/6 z (+.f64 (*.f64 2/9 (*.f64 (cbrt.f64 (/.f64 1 (*.f64 x x))) (pow.f64 z 3))) (*.f64 -1/27 (*.f64 (cbrt.f64 (/.f64 1 (*.f64 x x))) (pow.f64 z 3))))))) (*.f64 (*.f64 (pow.f64 (/.f64 1 (*.f64 x x)) 1/18) (pow.f64 (/.f64 1 (*.f64 x x)) 1/18)) (*.f64 z y)))))) |
(fma.f64 -1/9 (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 x 7)) 1/18)) (*.f64 (*.f64 z y) (*.f64 z y))) (fma.f64 -1/3 (fma.f64 (cbrt.f64 (/.f64 1 (*.f64 x x))) (*.f64 (pow.f64 y 3) (fma.f64 z -1/6 (*.f64 (*.f64 (cbrt.f64 (/.f64 1 (*.f64 x x))) (pow.f64 z 3)) 5/27))) (*.f64 y (*.f64 (pow.f64 (/.f64 1 (*.f64 x x)) 1/18) (*.f64 (pow.f64 (/.f64 1 (*.f64 x x)) 1/18) z)))) (cbrt.f64 x))) |
(fma.f64 -1/9 (*.f64 (*.f64 (*.f64 z (*.f64 z (*.f64 y y))) (pow.f64 (/.f64 1 (pow.f64 x 7)) 1/18)) (pow.f64 (/.f64 1 (pow.f64 x 7)) 1/18)) (fma.f64 -1/3 (fma.f64 (cbrt.f64 (/.f64 1 (*.f64 x x))) (*.f64 (pow.f64 y 3) (fma.f64 z -1/6 (*.f64 (*.f64 (cbrt.f64 (/.f64 1 (*.f64 x x))) (pow.f64 z 3)) 5/27))) (*.f64 y (*.f64 (pow.f64 (/.f64 1 (*.f64 x x)) 1/18) (*.f64 (pow.f64 (/.f64 1 (*.f64 x x)) 1/18) z)))) (cbrt.f64 x))) |
(pow.f64 (-.f64 x (*.f64 z (sin.f64 y))) 1/3) |
(cbrt.f64 (-.f64 x (*.f64 z (sin.f64 y)))) |
(pow.f64 (-.f64 x (*.f64 z (sin.f64 y))) 1/3) |
(cbrt.f64 (-.f64 x (*.f64 z (sin.f64 y)))) |
(pow.f64 (-.f64 x (*.f64 z (sin.f64 y))) 1/3) |
(cbrt.f64 (-.f64 x (*.f64 z (sin.f64 y)))) |
(pow.f64 (-.f64 x (*.f64 z (sin.f64 y))) 1/3) |
(cbrt.f64 (-.f64 x (*.f64 z (sin.f64 y)))) |
(pow.f64 (-.f64 x (*.f64 z (sin.f64 y))) 1/3) |
(cbrt.f64 (-.f64 x (*.f64 z (sin.f64 y)))) |
(pow.f64 (-.f64 x (*.f64 z (sin.f64 y))) 1/3) |
(cbrt.f64 (-.f64 x (*.f64 z (sin.f64 y)))) |
(pow.f64 (-.f64 x (*.f64 z (sin.f64 y))) 1/3) |
(cbrt.f64 (-.f64 x (*.f64 z (sin.f64 y)))) |
(pow.f64 (-.f64 x (*.f64 z (sin.f64 y))) 1/3) |
(cbrt.f64 (-.f64 x (*.f64 z (sin.f64 y)))) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (-.f64 x (*.f64 (*.f64 z (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y)))) |
| ✓ | 0.0b | (sqrt.f64 (sin.f64 y)) |
| ✓ | 0.1b | (*.f64 z (sqrt.f64 (sin.f64 y))) |
| ✓ | 0.1b | (*.f64 (*.f64 z (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y))) |
Compiled 36 to 8 computations (77.8% saved)
24 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 13.0ms | y | @ | -inf | (-.f64 x (*.f64 (*.f64 z (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y)))) |
| 1.0ms | y | @ | 0 | (*.f64 z (sqrt.f64 (sin.f64 y))) |
| 1.0ms | z | @ | 0 | (*.f64 z (sqrt.f64 (sin.f64 y))) |
| 1.0ms | y | @ | inf | (*.f64 z (sqrt.f64 (sin.f64 y))) |
| 1.0ms | y | @ | -inf | (*.f64 z (sqrt.f64 (sin.f64 y))) |
| 1× | batch-egg-rewrite |
| 761× | prod-diff_binary64 |
| 514× | log-prod_binary64 |
| 353× | pow-prod-down_binary64 |
| 255× | pow2_binary64 |
| 245× | fma-def_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 28 |
| 1 | 192 | 28 |
| 2 | 2597 | 28 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (*.f64 z (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y))) |
(*.f64 z (sqrt.f64 (sin.f64 y))) |
(sqrt.f64 (sin.f64 y)) |
(-.f64 x (*.f64 (*.f64 z (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y)))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 z (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 z) (sin.f64 y))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 z) (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 z) (sin.f64 y)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 z) (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 z (sin.f64 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 z (sin.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 z 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 z)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 z) (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 z (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 z (sin.f64 y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 z (sin.f64 y)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 z (sin.f64 y)))) 1/3)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 z (sqrt.f64 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 z) (sqrt.f64 (sin.f64 y)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 z) (sqrt.f64 (sin.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 z) (sqrt.f64 (sin.f64 y))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 z) (sqrt.f64 (sin.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 z (sqrt.f64 (sin.f64 y))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 z (sqrt.f64 (sin.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 z (*.f64 z (sin.f64 y))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 z (sqrt.f64 (sin.f64 y))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 z (sqrt.f64 (sin.f64 y)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 z (sqrt.f64 (sin.f64 y)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 z (*.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 z) (sqrt.f64 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 z (sqrt.f64 (sin.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 z (sqrt.f64 (sin.f64 y))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 z (sqrt.f64 (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 z (sqrt.f64 (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 z (sqrt.f64 (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 z (sqrt.f64 (sin.f64 y)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 z (sqrt.f64 (sin.f64 y))))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 z (sqrt.f64 (sin.f64 y))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 z (sqrt.f64 (sin.f64 y))))) 2)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (sin.f64 y)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (sin.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (sin.f64 y))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (sin.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (sin.f64 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sin.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sin.f64 y) 1/6) (cbrt.f64 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sin.f64 y)) (pow.f64 (sin.f64 y) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sin.f64 y) 1/4) (pow.f64 (sin.f64 y) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sin.f64 y) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (sin.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sin.f64 y) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sin.f64 y) 2) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sin.f64 y) 3) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sin.f64 y) 1/6) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sin.f64 y)) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sin.f64 y) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (sin.f64 y) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sin.f64 y)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (sin.f64 y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3/2 (log.f64 (sin.f64 y))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (sin.f64 y) 1/6)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/4 (log.f64 (sin.f64 y))) 2)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 (neg.f64 z) (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 (*.f64 (neg.f64 z) (sin.f64 y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (neg.f64 z) (sin.f64 y) x) (fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (neg.f64 z) (sin.f64 y) x) (fma.f64 (*.f64 (neg.f64 z) (sin.f64 y)) 1 (*.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (neg.f64 z) (sin.f64 y) x) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))) (cbrt.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2)) (*.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (neg.f64 z) (sin.f64 y) x) (+.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (*.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (neg.f64 z) (sin.f64 y) x) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> 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(2) ((x fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2))) (cbrt.f64 (*.f64 z (sin.f64 y))) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 z (neg.f64 (sqrt.f64 (sin.f64 y)))) 1) (sqrt.f64 (sin.f64 y)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 z (neg.f64 (sqrt.f64 (sin.f64 y)))) (cbrt.f64 (sin.f64 y))) (pow.f64 (sin.f64 y) 1/6) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 z (neg.f64 (sqrt.f64 (sin.f64 y)))) (pow.f64 (sin.f64 y) 1/4)) (pow.f64 (sin.f64 y) 1/4) x))))) |
| 1× | egg-herbie |
| 466× | distribute-rgt-neg-in_binary64 |
| 435× | unsub-neg_binary64 |
| 426× | unswap-sqr_binary64 |
| 408× | distribute-rgt-in_binary64 |
| 358× | distribute-lft-neg-in_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 42 | 512 |
| 1 | 124 | 506 |
| 2 | 343 | 490 |
| 3 | 996 | 488 |
| 4 | 2054 | 488 |
| 5 | 3815 | 488 |
| 6 | 5399 | 488 |
| 7 | 7423 | 488 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 z (sin.f64 y)) |
(*.f64 z (sin.f64 y)) |
(*.f64 z (sin.f64 y)) |
(*.f64 z (sin.f64 y)) |
(*.f64 z (sin.f64 y)) |
(*.f64 z (sin.f64 y)) |
(*.f64 z (sin.f64 y)) |
(*.f64 z (sin.f64 y)) |
(*.f64 z (sin.f64 y)) |
(*.f64 z (sin.f64 y)) |
(*.f64 z (sin.f64 y)) |
(*.f64 z (sin.f64 y)) |
(*.f64 y z) |
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)) (*.f64 y z)) |
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)) (+.f64 (*.f64 y z) (*.f64 1/120 (*.f64 (pow.f64 y 5) z)))) |
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)) (+.f64 (*.f64 y z) (+.f64 (*.f64 -1/5040 (*.f64 (pow.f64 y 7) z)) (*.f64 1/120 (*.f64 (pow.f64 y 5) z))))) |
(*.f64 z (sin.f64 y)) |
(*.f64 z (sin.f64 y)) |
(*.f64 z (sin.f64 y)) |
(*.f64 z (sin.f64 y)) |
(*.f64 z (sin.f64 y)) |
(*.f64 z (sin.f64 y)) |
(*.f64 z (sin.f64 y)) |
(*.f64 z (sin.f64 y)) |
(*.f64 -1 (*.f64 z (sin.f64 y))) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x) |
x |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x) |
x |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x) |
x |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x) |
(*.f64 -1 (*.f64 z (sin.f64 y))) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x) |
(*.f64 -1 (*.f64 z (sin.f64 y))) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x) |
x |
(+.f64 (*.f64 -1 (*.f64 y z)) x) |
(+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 y 3) z)) x)) |
(+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 -1/120 (*.f64 (pow.f64 y 5) z)) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 y 3) z)) x))) |
(-.f64 x (*.f64 z (sin.f64 y))) |
(-.f64 x (*.f64 z (sin.f64 y))) |
(-.f64 x (*.f64 z (sin.f64 y))) |
(-.f64 x (*.f64 z (sin.f64 y))) |
(-.f64 x (*.f64 z (sin.f64 y))) |
(-.f64 x (*.f64 z (sin.f64 y))) |
(-.f64 x (*.f64 z (sin.f64 y))) |
(-.f64 x (*.f64 z (sin.f64 y))) |
| Outputs |
|---|
(*.f64 z (sin.f64 y)) |
(*.f64 z (sin.f64 y)) |
(*.f64 z (sin.f64 y)) |
(*.f64 z (sin.f64 y)) |
(*.f64 z (sin.f64 y)) |
(*.f64 z (sin.f64 y)) |
(*.f64 z (sin.f64 y)) |
(*.f64 z (sin.f64 y)) |
(*.f64 z (sin.f64 y)) |
(*.f64 z (sin.f64 y)) |
(*.f64 z (sin.f64 y)) |
(*.f64 z (sin.f64 y)) |
(*.f64 y z) |
(*.f64 z y) |
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)) (*.f64 y z)) |
(fma.f64 -1/6 (*.f64 z (pow.f64 y 3)) (*.f64 z y)) |
(*.f64 z (+.f64 y (*.f64 -1/6 (pow.f64 y 3)))) |
(*.f64 z (fma.f64 -1/6 (pow.f64 y 3) y)) |
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)) (+.f64 (*.f64 y z) (*.f64 1/120 (*.f64 (pow.f64 y 5) z)))) |
(fma.f64 -1/6 (*.f64 z (pow.f64 y 3)) (fma.f64 y z (*.f64 1/120 (*.f64 z (pow.f64 y 5))))) |
(fma.f64 -1/6 (*.f64 z (pow.f64 y 3)) (*.f64 z (+.f64 y (*.f64 1/120 (pow.f64 y 5))))) |
(*.f64 z (+.f64 (*.f64 -1/6 (pow.f64 y 3)) (fma.f64 1/120 (pow.f64 y 5) y))) |
(*.f64 z (+.f64 (*.f64 1/120 (pow.f64 y 5)) (fma.f64 -1/6 (pow.f64 y 3) y))) |
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)) (+.f64 (*.f64 y z) (+.f64 (*.f64 -1/5040 (*.f64 (pow.f64 y 7) z)) (*.f64 1/120 (*.f64 (pow.f64 y 5) z))))) |
(fma.f64 -1/6 (*.f64 z (pow.f64 y 3)) (fma.f64 y z (fma.f64 -1/5040 (*.f64 z (pow.f64 y 7)) (*.f64 1/120 (*.f64 z (pow.f64 y 5)))))) |
(fma.f64 -1/6 (*.f64 z (pow.f64 y 3)) (fma.f64 z y (*.f64 z (+.f64 (*.f64 1/120 (pow.f64 y 5)) (*.f64 -1/5040 (pow.f64 y 7)))))) |
(*.f64 z (+.f64 (fma.f64 -1/6 (pow.f64 y 3) y) (fma.f64 -1/5040 (pow.f64 y 7) (*.f64 1/120 (pow.f64 y 5))))) |
(*.f64 z (+.f64 (fma.f64 -1/6 (pow.f64 y 3) y) (fma.f64 1/120 (pow.f64 y 5) (*.f64 -1/5040 (pow.f64 y 7))))) |
(*.f64 z (sin.f64 y)) |
(*.f64 z (sin.f64 y)) |
(*.f64 z (sin.f64 y)) |
(*.f64 z (sin.f64 y)) |
(*.f64 z (sin.f64 y)) |
(*.f64 z (sin.f64 y)) |
(*.f64 z (sin.f64 y)) |
(*.f64 z (sin.f64 y)) |
(*.f64 -1 (*.f64 z (sin.f64 y))) |
(neg.f64 (*.f64 z (sin.f64 y))) |
(*.f64 z (neg.f64 (sin.f64 y))) |
(*.f64 (sin.f64 y) (neg.f64 z)) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x) |
(-.f64 x (*.f64 z (sin.f64 y))) |
(fma.f64 (sin.f64 y) (neg.f64 z) x) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x) |
(-.f64 x (*.f64 z (sin.f64 y))) |
(fma.f64 (sin.f64 y) (neg.f64 z) x) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x) |
(-.f64 x (*.f64 z (sin.f64 y))) |
(fma.f64 (sin.f64 y) (neg.f64 z) x) |
x |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x) |
(-.f64 x (*.f64 z (sin.f64 y))) |
(fma.f64 (sin.f64 y) (neg.f64 z) x) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x) |
(-.f64 x (*.f64 z (sin.f64 y))) |
(fma.f64 (sin.f64 y) (neg.f64 z) x) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x) |
(-.f64 x (*.f64 z (sin.f64 y))) |
(fma.f64 (sin.f64 y) (neg.f64 z) x) |
x |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x) |
(-.f64 x (*.f64 z (sin.f64 y))) |
(fma.f64 (sin.f64 y) (neg.f64 z) x) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x) |
(-.f64 x (*.f64 z (sin.f64 y))) |
(fma.f64 (sin.f64 y) (neg.f64 z) x) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x) |
(-.f64 x (*.f64 z (sin.f64 y))) |
(fma.f64 (sin.f64 y) (neg.f64 z) x) |
x |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x) |
(-.f64 x (*.f64 z (sin.f64 y))) |
(fma.f64 (sin.f64 y) (neg.f64 z) x) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x) |
(-.f64 x (*.f64 z (sin.f64 y))) |
(fma.f64 (sin.f64 y) (neg.f64 z) x) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x) |
(-.f64 x (*.f64 z (sin.f64 y))) |
(fma.f64 (sin.f64 y) (neg.f64 z) x) |
(*.f64 -1 (*.f64 z (sin.f64 y))) |
(neg.f64 (*.f64 z (sin.f64 y))) |
(*.f64 z (neg.f64 (sin.f64 y))) |
(*.f64 (sin.f64 y) (neg.f64 z)) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x) |
(-.f64 x (*.f64 z (sin.f64 y))) |
(fma.f64 (sin.f64 y) (neg.f64 z) x) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x) |
(-.f64 x (*.f64 z (sin.f64 y))) |
(fma.f64 (sin.f64 y) (neg.f64 z) x) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x) |
(-.f64 x (*.f64 z (sin.f64 y))) |
(fma.f64 (sin.f64 y) (neg.f64 z) x) |
(*.f64 -1 (*.f64 z (sin.f64 y))) |
(neg.f64 (*.f64 z (sin.f64 y))) |
(*.f64 z (neg.f64 (sin.f64 y))) |
(*.f64 (sin.f64 y) (neg.f64 z)) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x) |
(-.f64 x (*.f64 z (sin.f64 y))) |
(fma.f64 (sin.f64 y) (neg.f64 z) x) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x) |
(-.f64 x (*.f64 z (sin.f64 y))) |
(fma.f64 (sin.f64 y) (neg.f64 z) x) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x) |
(-.f64 x (*.f64 z (sin.f64 y))) |
(fma.f64 (sin.f64 y) (neg.f64 z) x) |
x |
(+.f64 (*.f64 -1 (*.f64 y z)) x) |
(fma.f64 -1 (*.f64 z y) x) |
(-.f64 x (*.f64 z y)) |
(fma.f64 y (neg.f64 z) x) |
(fma.f64 z (neg.f64 y) x) |
(+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 y 3) z)) x)) |
(fma.f64 -1 (*.f64 z y) (fma.f64 1/6 (*.f64 z (pow.f64 y 3)) x)) |
(-.f64 (fma.f64 (*.f64 z (pow.f64 y 3)) 1/6 x) (*.f64 z y)) |
(fma.f64 z (fma.f64 y -1 (*.f64 (pow.f64 y 3) 1/6)) x) |
(-.f64 x (*.f64 z (fma.f64 -1/6 (pow.f64 y 3) y))) |
(+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 -1/120 (*.f64 (pow.f64 y 5) z)) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 y 3) z)) x))) |
(fma.f64 -1 (*.f64 z y) (fma.f64 -1/120 (*.f64 z (pow.f64 y 5)) (fma.f64 1/6 (*.f64 z (pow.f64 y 3)) x))) |
(-.f64 (fma.f64 (*.f64 (pow.f64 y 5) -1/120) z (fma.f64 (*.f64 z (pow.f64 y 3)) 1/6 x)) (*.f64 z y)) |
(fma.f64 z (fma.f64 (pow.f64 y 5) -1/120 (*.f64 (pow.f64 y 3) 1/6)) (fma.f64 y (neg.f64 z) x)) |
(+.f64 x (*.f64 z (-.f64 (fma.f64 (pow.f64 y 5) -1/120 (*.f64 (pow.f64 y 3) 1/6)) y))) |
(-.f64 x (*.f64 z (+.f64 (*.f64 1/120 (pow.f64 y 5)) (fma.f64 -1/6 (pow.f64 y 3) y)))) |
(-.f64 x (*.f64 z (sin.f64 y))) |
(fma.f64 (sin.f64 y) (neg.f64 z) x) |
(-.f64 x (*.f64 z (sin.f64 y))) |
(fma.f64 (sin.f64 y) (neg.f64 z) x) |
(-.f64 x (*.f64 z (sin.f64 y))) |
(fma.f64 (sin.f64 y) (neg.f64 z) x) |
(-.f64 x (*.f64 z (sin.f64 y))) |
(fma.f64 (sin.f64 y) (neg.f64 z) x) |
(-.f64 x (*.f64 z (sin.f64 y))) |
(fma.f64 (sin.f64 y) (neg.f64 z) x) |
(-.f64 x (*.f64 z (sin.f64 y))) |
(fma.f64 (sin.f64 y) (neg.f64 z) x) |
(-.f64 x (*.f64 z (sin.f64 y))) |
(fma.f64 (sin.f64 y) (neg.f64 z) x) |
(-.f64 x (*.f64 z (sin.f64 y))) |
(fma.f64 (sin.f64 y) (neg.f64 z) x) |
Compiled 24004 to 9541 computations (60.3% saved)
27 alts after pruning (19 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1043 | 8 | 1051 |
| Fresh | 3 | 11 | 14 |
| Picked | 0 | 1 | 1 |
| Done | 5 | 7 | 12 |
| Total | 1051 | 27 | 1078 |
| Status | Error | Program |
|---|---|---|
| 39.1b | (-.f64 x (*.f64 (*.f64 (sin.f64 y) (sqrt.f64 z)) (sqrt.f64 z))) | |
| 44.7b | (pow.f64 (cbrt.f64 (*.f64 z (neg.f64 (sin.f64 y)))) 3) | |
| ✓ | 39.9b | (-.f64 x (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)) (*.f64 y z))) |
| ✓ | 40.4b | (-.f64 x (*.f64 (*.f64 z (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y)))) |
| ✓ | 57.5b | (*.f64 y (neg.f64 z)) |
| 19.3b | (fma.f64 (*.f64 (neg.f64 z) (cbrt.f64 (pow.f64 (sin.f64 y) 2))) (cbrt.f64 (sin.f64 y)) x) | |
| 22.2b | (-.f64 x (-.f64 (*.f64 y z) 1)) | |
| 0.1b | (-.f64 (-.f64 (+.f64 (cos.f64 y) (+.f64 1 x)) 1) (*.f64 z (sin.f64 y))) | |
| 39.9b | (pow.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (-.f64 x (*.f64 z (sin.f64 y)))) 2)) 3) | |
| ✓ | 23.8b | (-.f64 x -1) |
| 31.1b | (*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 z (neg.f64 (sin.f64 y)) (cos.f64 y)) 3)) (/.f64 1 (fma.f64 x x (*.f64 (fma.f64 z (neg.f64 (sin.f64 y)) (cos.f64 y)) (-.f64 (fma.f64 z (neg.f64 (sin.f64 y)) (cos.f64 y)) x))))) | |
| ✓ | 18.8b | (-.f64 x (*.f64 z (sin.f64 y))) |
| 26.1b | (-.f64 (-.f64 (+.f64 1 (cos.f64 y)) 1) (*.f64 z (sin.f64 y))) | |
| 49.7b | (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 z (neg.f64 y)) (*.f64 z (neg.f64 y)))) (-.f64 x (*.f64 z (neg.f64 y)))) | |
| 39.6b | (pow.f64 (sqrt.f64 (-.f64 x (*.f64 z (sin.f64 y)))) 2) | |
| 33.1b | (-.f64 x (cbrt.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3))) | |
| 18.6b | (+.f64 (cos.f64 y) x) | |
| 14.3b | (-.f64 (+.f64 x (cos.f64 y)) (cbrt.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3))) | |
| 26.1b | (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) | |
| 19.3b | (-.f64 x (pow.f64 (*.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 z)) 3)) | |
| 26.1b | (fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y)) | |
| ✓ | 42.0b | (-.f64 x (pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 2)) |
| 40.4b | (-.f64 x (*.f64 (*.f64 z (sqrt.f64 (sin.f64 y))) (pow.f64 (cbrt.f64 (sin.f64 y)) 3/2))) | |
| ✓ | 34.8b | (-.f64 x (*.f64 y z)) |
| 36.8b | x | |
| 43.1b | (/.f64 1 (/.f64 (+.f64 (*.f64 z (sin.f64 y)) x) (-.f64 (*.f64 x x) (pow.f64 (*.f64 z (sin.f64 y)) 2)))) | |
| ✓ | 44.4b | (*.f64 (sin.f64 y) (neg.f64 z)) |
Compiled 358 to 238 computations (33.5% saved)
| Inputs |
|---|
x |
x |
(-.f64 x -1) |
(*.f64 y (neg.f64 z)) |
(-.f64 x (*.f64 y z)) |
(-.f64 x (-.f64 (*.f64 y z) 1)) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 z (neg.f64 y)) (*.f64 z (neg.f64 y)))) (-.f64 x (*.f64 z (neg.f64 y)))) |
(+.f64 (cos.f64 y) x) |
(*.f64 (sin.f64 y) (neg.f64 z)) |
(-.f64 x (*.f64 z (sin.f64 y))) |
(-.f64 x (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)) (*.f64 y z))) |
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) |
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) |
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(-.f64 (-.f64 (+.f64 1 (cos.f64 y)) 1) (*.f64 z (sin.f64 y))) |
(-.f64 (-.f64 (+.f64 (cos.f64 y) (+.f64 1 x)) 1) (*.f64 z (sin.f64 y))) |
(-.f64 (-.f64 (+.f64 (+.f64 x (cos.f64 y)) 1) 1) (*.f64 z (sin.f64 y))) |
(-.f64 (+.f64 x (cos.f64 y)) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)) (*.f64 y z))) |
(fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y)) |
(fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) |
(pow.f64 (cbrt.f64 (*.f64 z (neg.f64 (sin.f64 y)))) 3) |
(-.f64 x (cbrt.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3))) |
(-.f64 x (cbrt.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3))) |
(pow.f64 (cbrt.f64 (-.f64 x (*.f64 z (sin.f64 y)))) 3) |
(-.f64 x (pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 2)) |
(-.f64 x (cbrt.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3))) |
(pow.f64 (sqrt.f64 (-.f64 x (*.f64 z (sin.f64 y)))) 2) |
(-.f64 x (fma.f64 z (sin.f64 y) (neg.f64 (cos.f64 y)))) |
(-.f64 x (*.f64 (*.f64 (sin.f64 y) (sqrt.f64 z)) (sqrt.f64 z))) |
(/.f64 1 (/.f64 (+.f64 (*.f64 z (sin.f64 y)) x) (-.f64 (*.f64 x x) (pow.f64 (*.f64 z (sin.f64 y)) 2)))) |
(/.f64 1 (/.f64 (+.f64 x (*.f64 z (sin.f64 y))) (-.f64 (*.f64 x x) (pow.f64 (*.f64 z (sin.f64 y)) 2)))) |
(-.f64 x (pow.f64 (*.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 z)) 3)) |
(-.f64 x (*.f64 (*.f64 z (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y)))) |
(-.f64 (expm1.f64 (log1p.f64 (+.f64 x (cos.f64 y)))) (*.f64 z (sin.f64 y))) |
(-.f64 (log1p.f64 (expm1.f64 (+.f64 x (cos.f64 y)))) (*.f64 z (sin.f64 y))) |
(-.f64 (expm1.f64 (log1p.f64 (+.f64 x (cos.f64 y)))) (*.f64 z (sin.f64 y))) |
(-.f64 (+.f64 x (cos.f64 y)) (cbrt.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3))) |
(pow.f64 (sqrt.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))) 2) |
(pow.f64 (cbrt.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))) 3) |
(-.f64 (+.f64 x (cos.f64 y)) (pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 2)) |
(pow.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (-.f64 x (*.f64 z (sin.f64 y)))) 2)) 3) |
(-.f64 x (*.f64 (*.f64 z (sqrt.f64 (sin.f64 y))) (pow.f64 (cbrt.f64 (sin.f64 y)) 3/2))) |
(-.f64 x (*.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (*.f64 (cbrt.f64 (sin.f64 y)) z))) |
(fma.f64 (*.f64 (neg.f64 z) (cbrt.f64 (pow.f64 (sin.f64 y) 2))) (cbrt.f64 (sin.f64 y)) x) |
(fma.f64 (*.f64 (neg.f64 z) (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y)) (+.f64 x (cos.f64 y))) |
(fma.f64 (*.f64 (neg.f64 z) (pow.f64 (sin.f64 y) 2/3)) (cbrt.f64 (sin.f64 y)) (+.f64 x (cos.f64 y))) |
(fma.f64 (*.f64 (neg.f64 z) (cbrt.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 y)))))) (cbrt.f64 (sin.f64 y)) (+.f64 x (cos.f64 y))) |
(fma.f64 (*.f64 (neg.f64 z) (cbrt.f64 (pow.f64 (sin.f64 y) 2))) (cbrt.f64 (sin.f64 y)) (+.f64 x (cos.f64 y))) |
(/.f64 1 (/.f64 (+.f64 (fma.f64 z (sin.f64 y) (cos.f64 y)) x) (-.f64 (*.f64 x x) (pow.f64 (fma.f64 z (sin.f64 y) (cos.f64 y)) 2)))) |
(fma.f64 (*.f64 (neg.f64 z) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 y))) 2) 3)) (cbrt.f64 (sin.f64 y)) (+.f64 x (cos.f64 y))) |
(*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 z (neg.f64 (sin.f64 y)) (cos.f64 y)) 3)) (/.f64 1 (fma.f64 x x (*.f64 (fma.f64 z (neg.f64 (sin.f64 y)) (cos.f64 y)) (-.f64 (fma.f64 z (neg.f64 (sin.f64 y)) (cos.f64 y)) x))))) |
(fma.f64 (-.f64 (pow.f64 (+.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (/.f64 1 (fma.f64 (*.f64 z (sin.f64 y)) (fma.f64 z (sin.f64 y) (+.f64 x (cos.f64 y))) (pow.f64 (+.f64 x (cos.f64 y)) 2))) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 z (sin.f64 y)))) |
| Outputs |
|---|
(-.f64 x (fma.f64 z (sin.f64 y) (neg.f64 (cos.f64 y)))) |
4 calls:
| 28.0ms | x |
| 28.0ms | z |
| 26.0ms | y |
| 22.0ms | (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| Error | Segments | Branch |
|---|---|---|
| 0.1b | 1 | x |
| 0.1b | 1 | y |
| 0.1b | 1 | z |
| 0.1b | 1 | (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
Compiled 645 to 235 computations (63.6% saved)
| Inputs |
|---|
x |
x |
(-.f64 x -1) |
(*.f64 y (neg.f64 z)) |
(-.f64 x (*.f64 y z)) |
(-.f64 x (-.f64 (*.f64 y z) 1)) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 z (neg.f64 y)) (*.f64 z (neg.f64 y)))) (-.f64 x (*.f64 z (neg.f64 y)))) |
(+.f64 (cos.f64 y) x) |
(*.f64 (sin.f64 y) (neg.f64 z)) |
(-.f64 x (*.f64 z (sin.f64 y))) |
(-.f64 x (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)) (*.f64 y z))) |
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) |
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) |
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(-.f64 (-.f64 (+.f64 1 (cos.f64 y)) 1) (*.f64 z (sin.f64 y))) |
(-.f64 (-.f64 (+.f64 (cos.f64 y) (+.f64 1 x)) 1) (*.f64 z (sin.f64 y))) |
(-.f64 (-.f64 (+.f64 (+.f64 x (cos.f64 y)) 1) 1) (*.f64 z (sin.f64 y))) |
(-.f64 (+.f64 x (cos.f64 y)) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)) (*.f64 y z))) |
(fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y)) |
(fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) |
(pow.f64 (cbrt.f64 (*.f64 z (neg.f64 (sin.f64 y)))) 3) |
(-.f64 x (cbrt.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3))) |
(-.f64 x (cbrt.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3))) |
(pow.f64 (cbrt.f64 (-.f64 x (*.f64 z (sin.f64 y)))) 3) |
(-.f64 x (pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 2)) |
(-.f64 x (cbrt.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3))) |
(pow.f64 (sqrt.f64 (-.f64 x (*.f64 z (sin.f64 y)))) 2) |
| Outputs |
|---|
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
4 calls:
| 18.0ms | y |
| 16.0ms | x |
| 15.0ms | (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 13.0ms | z |
| Error | Segments | Branch |
|---|---|---|
| 0.1b | 1 | x |
| 0.1b | 1 | y |
| 0.1b | 1 | z |
| 0.1b | 1 | (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
Compiled 248 to 104 computations (58.1% saved)
| Inputs |
|---|
x |
x |
(-.f64 x -1) |
(*.f64 y (neg.f64 z)) |
(-.f64 x (*.f64 y z)) |
(-.f64 x (-.f64 (*.f64 y z) 1)) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 z (neg.f64 y)) (*.f64 z (neg.f64 y)))) (-.f64 x (*.f64 z (neg.f64 y)))) |
(+.f64 (cos.f64 y) x) |
(*.f64 (sin.f64 y) (neg.f64 z)) |
(-.f64 x (*.f64 z (sin.f64 y))) |
(-.f64 x (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)) (*.f64 y z))) |
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) |
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) |
| Outputs |
|---|
(-.f64 x (*.f64 z (sin.f64 y))) |
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) |
(-.f64 x (*.f64 z (sin.f64 y))) |
3 calls:
| 35.0ms | z |
| 25.0ms | x |
| 23.0ms | y |
| Error | Segments | Branch |
|---|---|---|
| 0.8b | 3 | x |
| 6.2b | 3 | y |
| 2.8b | 5 | z |
Compiled 98 to 42 computations (57.1% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 60.0ms | 0.023382197811077386 | 3370624133234.774 |
| 58.0ms | -2263007.935109674 | -167138.45325893688 |
Compiled 18 to 13 computations (27.8% saved)
| Inputs |
|---|
x |
x |
(-.f64 x -1) |
(*.f64 y (neg.f64 z)) |
(-.f64 x (*.f64 y z)) |
(-.f64 x (-.f64 (*.f64 y z) 1)) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 z (neg.f64 y)) (*.f64 z (neg.f64 y)))) (-.f64 x (*.f64 z (neg.f64 y)))) |
(+.f64 (cos.f64 y) x) |
(*.f64 (sin.f64 y) (neg.f64 z)) |
(-.f64 x (*.f64 z (sin.f64 y))) |
(-.f64 x (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)) (*.f64 y z))) |
| Outputs |
|---|
(-.f64 x (*.f64 z (sin.f64 y))) |
(+.f64 (cos.f64 y) x) |
(-.f64 x (*.f64 z (sin.f64 y))) |
3 calls:
| 40.0ms | x |
| 26.0ms | z |
| 21.0ms | y |
| Error | Segments | Branch |
|---|---|---|
| 9.7b | 5 | x |
| 6.2b | 3 | y |
| 5.2b | 3 | z |
Compiled 84 to 41 computations (51.2% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 225.0ms | 901.4964957225062 | 58423.09575961166 |
| 84.0ms | -3.129823936231271e+22 | -30338140109.621147 |
Compiled 18 to 13 computations (27.8% saved)
| Inputs |
|---|
x |
x |
(-.f64 x -1) |
(*.f64 y (neg.f64 z)) |
(-.f64 x (*.f64 y z)) |
(-.f64 x (-.f64 (*.f64 y z) 1)) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 z (neg.f64 y)) (*.f64 z (neg.f64 y)))) (-.f64 x (*.f64 z (neg.f64 y)))) |
(+.f64 (cos.f64 y) x) |
(*.f64 (sin.f64 y) (neg.f64 z)) |
| Outputs |
|---|
(*.f64 (sin.f64 y) (neg.f64 z)) |
(+.f64 (cos.f64 y) x) |
(*.f64 (sin.f64 y) (neg.f64 z)) |
3 calls:
| 32.0ms | y |
| 24.0ms | z |
| 18.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 17.3b | 3 | x |
| 12.0b | 5 | y |
| 11.0b | 3 | z |
Compiled 65 to 32 computations (50.8% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 49.0ms | 5.914108039000788e+72 | 1.8887775815060596e+74 |
| 56.0ms | -3.561976126371877e+175 | -1.7882597674183293e+170 |
Compiled 18 to 13 computations (27.8% saved)
| Inputs |
|---|
x |
x |
(-.f64 x -1) |
(*.f64 y (neg.f64 z)) |
(-.f64 x (*.f64 y z)) |
(-.f64 x (-.f64 (*.f64 y z) 1)) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 z (neg.f64 y)) (*.f64 z (neg.f64 y)))) (-.f64 x (*.f64 z (neg.f64 y)))) |
(+.f64 (cos.f64 y) x) |
| Outputs |
|---|
(+.f64 (cos.f64 y) x) |
(-.f64 x (-.f64 (*.f64 y z) 1)) |
(+.f64 (cos.f64 y) x) |
3 calls:
| 17.0ms | y |
| 17.0ms | z |
| 6.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 18.6b | 1 | x |
| 13.7b | 3 | y |
| 15.2b | 3 | z |
Compiled 60 to 30 computations (50% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 35.0ms | 1.2966822269877143e-14 | 2.9304107160500146e-10 |
| 39.0ms | -77290300315584860.0 | -307455861613.32837 |
Compiled 18 to 13 computations (27.8% saved)
| Inputs |
|---|
x |
x |
(-.f64 x -1) |
(*.f64 y (neg.f64 z)) |
(-.f64 x (*.f64 y z)) |
(-.f64 x (-.f64 (*.f64 y z) 1)) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 z (neg.f64 y)) (*.f64 z (neg.f64 y)))) (-.f64 x (*.f64 z (neg.f64 y)))) |
| Outputs |
|---|
(-.f64 x -1) |
(-.f64 x (-.f64 (*.f64 y z) 1)) |
(-.f64 x -1) |
3 calls:
| 15.0ms | y |
| 15.0ms | z |
| 10.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 21.1b | 2 | x |
| 18.9b | 3 | y |
| 20.4b | 3 | z |
Compiled 56 to 28 computations (50% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 35.0ms | 1.2966822269877143e-14 | 2.9304107160500146e-10 |
| 38.0ms | -77290300315584860.0 | -307455861613.32837 |
Compiled 18 to 13 computations (27.8% saved)
| Inputs |
|---|
x |
x |
(-.f64 x -1) |
(*.f64 y (neg.f64 z)) |
(-.f64 x (*.f64 y z)) |
| Outputs |
|---|
(-.f64 x -1) |
(-.f64 x (*.f64 y z)) |
3 calls:
| 9.0ms | z |
| 5.0ms | y |
| 5.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 23.8b | 1 | x |
| 23.8b | 1 | y |
| 22.2b | 2 | z |
Compiled 29 to 18 computations (37.9% saved)
| 1× | binary-search |
| Time | Left | Right |
|---|---|---|
| 55.0ms | 2.6472241617781067e+248 | 3.245657311018726e+248 |
Compiled 18 to 13 computations (27.8% saved)
| Inputs |
|---|
x |
x |
(-.f64 x -1) |
(*.f64 y (neg.f64 z)) |
| Outputs |
|---|
(-.f64 x -1) |
(*.f64 y (neg.f64 z)) |
3 calls:
| 8.0ms | z |
| 5.0ms | y |
| 4.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 23.8b | 1 | x |
| 23.8b | 1 | y |
| 22.4b | 2 | z |
Compiled 24 to 16 computations (33.3% saved)
| 1× | binary-search |
| Time | Left | Right |
|---|---|---|
| 60.0ms | 2.6472241617781067e+248 | 3.245657311018726e+248 |
Compiled 18 to 13 computations (27.8% saved)
| Inputs |
|---|
x |
x |
(-.f64 x -1) |
| Outputs |
|---|
(-.f64 x -1) |
3 calls:
| 6.0ms | x |
| 4.0ms | y |
| 4.0ms | z |
| Error | Segments | Branch |
|---|---|---|
| 23.8b | 1 | x |
| 23.8b | 1 | y |
| 23.8b | 1 | z |
Compiled 20 to 14 computations (30% saved)
Total -0.0b remaining (-0%)
Threshold costs -0.0b (-0%)
| Inputs |
|---|
x |
x |
| Outputs |
|---|
x |
3 calls:
| 5.0ms | y |
| 4.0ms | z |
| 4.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 36.8b | 1 | x |
| 36.8b | 1 | y |
| 36.8b | 1 | z |
Compiled 17 to 12 computations (29.4% saved)
| 1× | egg-herbie |
| 17× | +-commutative_binary64 |
| 16× | sub-neg_binary64 |
| 12× | *-commutative_binary64 |
| 8× | neg-sub0_binary64 |
| 8× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 56 | 241 |
| 1 | 93 | 241 |
| 2 | 123 | 241 |
| 3 | 138 | 241 |
| 4 | 146 | 241 |
| 5 | 147 | 241 |
| 1× | fuel |
| 1× | saturated |
| Inputs |
|---|
(-.f64 x (fma.f64 z (sin.f64 y) (neg.f64 (cos.f64 y)))) |
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(if (<=.f64 x -9719545071884540/4294967296) (-.f64 x (*.f64 z (sin.f64 y))) (if (<=.f64 x 431325418901796224/18446744073709551616) (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) (-.f64 x (*.f64 z (sin.f64 y))))) |
(if (<=.f64 z -31298239362312710389760) (-.f64 x (*.f64 z (sin.f64 y))) (if (<=.f64 z 7929647035569701/8796093022208) (+.f64 (cos.f64 y) x) (-.f64 x (*.f64 z (sin.f64 y))))) |
(if (<=.f64 z -35619761263718767661620417645368222586316535060715050101043212951779148310253473353805502994517051424487252125978481359202772520390865236638788991634612266963543852771318956032) (*.f64 (sin.f64 y) (neg.f64 z)) (if (<=.f64 z 5914108039000788023987110075045137712323037335604210498119018143887130624) (+.f64 (cos.f64 y) x) (*.f64 (sin.f64 y) (neg.f64 z)))) |
(if (<=.f64 y -77290300315584864) (+.f64 (cos.f64 y) x) (if (<=.f64 y 4109350008365633/316912650057057350374175801344) (-.f64 x (-.f64 (*.f64 y z) 1)) (+.f64 (cos.f64 y) x))) |
(if (<=.f64 y -77290300315584864) (-.f64 x -1) (if (<=.f64 y 4109350008365633/316912650057057350374175801344) (-.f64 x (-.f64 (*.f64 y z) 1)) (-.f64 x -1))) |
(if (<=.f64 z 264722416177810667776844442578711627581466852335808285305598992329542182520627721251890775541248478022192218907014136316384162221159335215202769842743906747252998209445925160192418256160298254415684340534620887487917565859397706777498129785541361664) (-.f64 x -1) (-.f64 x (*.f64 y z))) |
(if (<=.f64 z 264722416177810667776844442578711627581466852335808285305598992329542182520627721251890775541248478022192218907014136316384162221159335215202769842743906747252998209445925160192418256160298254415684340534620887487917565859397706777498129785541361664) (-.f64 x -1) (*.f64 y (neg.f64 z))) |
(-.f64 x -1) |
x |
| Outputs |
|---|
(-.f64 x (fma.f64 z (sin.f64 y) (neg.f64 (cos.f64 y)))) |
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(if (<=.f64 x -9719545071884540/4294967296) (-.f64 x (*.f64 z (sin.f64 y))) (if (<=.f64 x 431325418901796224/18446744073709551616) (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) (-.f64 x (*.f64 z (sin.f64 y))))) |
(if (<=.f64 x -2429886267971135/1073741824) (-.f64 x (*.f64 z (sin.f64 y))) (if (<=.f64 x 3369729835170283/144115188075855872) (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) (-.f64 x (*.f64 z (sin.f64 y))))) |
(if (<=.f64 z -31298239362312710389760) (-.f64 x (*.f64 z (sin.f64 y))) (if (<=.f64 z 7929647035569701/8796093022208) (+.f64 (cos.f64 y) x) (-.f64 x (*.f64 z (sin.f64 y))))) |
(if (<=.f64 z -31298239362312710389760) (-.f64 x (*.f64 z (sin.f64 y))) (if (<=.f64 z 7929647035569701/8796093022208) (+.f64 x (cos.f64 y)) (-.f64 x (*.f64 z (sin.f64 y))))) |
(if (<=.f64 z -35619761263718767661620417645368222586316535060715050101043212951779148310253473353805502994517051424487252125978481359202772520390865236638788991634612266963543852771318956032) (*.f64 (sin.f64 y) (neg.f64 z)) (if (<=.f64 z 5914108039000788023987110075045137712323037335604210498119018143887130624) (+.f64 (cos.f64 y) x) (*.f64 (sin.f64 y) (neg.f64 z)))) |
(if (<=.f64 z -35619761263718767661620417645368222586316535060715050101043212951779148310253473353805502994517051424487252125978481359202772520390865236638788991634612266963543852771318956032) (*.f64 (sin.f64 y) (neg.f64 z)) (if (<=.f64 z 5914108039000788023987110075045137712323037335604210498119018143887130624) (+.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) (neg.f64 z)))) |
(if (<=.f64 y -77290300315584864) (+.f64 (cos.f64 y) x) (if (<=.f64 y 4109350008365633/316912650057057350374175801344) (-.f64 x (-.f64 (*.f64 y z) 1)) (+.f64 (cos.f64 y) x))) |
(if (<=.f64 y -77290300315584864) (+.f64 x (cos.f64 y)) (if (<=.f64 y 4109350008365633/316912650057057350374175801344) (-.f64 x (+.f64 (*.f64 z y) -1)) (+.f64 x (cos.f64 y)))) |
(if (<=.f64 y -77290300315584864) (-.f64 x -1) (if (<=.f64 y 4109350008365633/316912650057057350374175801344) (-.f64 x (-.f64 (*.f64 y z) 1)) (-.f64 x -1))) |
(if (<=.f64 y -77290300315584864) (-.f64 x -1) (if (<=.f64 y 4109350008365633/316912650057057350374175801344) (-.f64 x (+.f64 (*.f64 z y) -1)) (-.f64 x -1))) |
(if (<=.f64 z 264722416177810667776844442578711627581466852335808285305598992329542182520627721251890775541248478022192218907014136316384162221159335215202769842743906747252998209445925160192418256160298254415684340534620887487917565859397706777498129785541361664) (-.f64 x -1) (-.f64 x (*.f64 y z))) |
(if (<=.f64 z 264722416177810667776844442578711627581466852335808285305598992329542182520627721251890775541248478022192218907014136316384162221159335215202769842743906747252998209445925160192418256160298254415684340534620887487917565859397706777498129785541361664) (-.f64 x -1) (-.f64 x (*.f64 z y))) |
(if (<=.f64 z 264722416177810667776844442578711627581466852335808285305598992329542182520627721251890775541248478022192218907014136316384162221159335215202769842743906747252998209445925160192418256160298254415684340534620887487917565859397706777498129785541361664) (-.f64 x -1) (*.f64 y (neg.f64 z))) |
(if (<=.f64 z 264722416177810667776844442578711627581466852335808285305598992329542182520627721251890775541248478022192218907014136316384162221159335215202769842743906747252998209445925160192418256160298254415684340534620887487917565859397706777498129785541361664) (-.f64 x -1) (neg.f64 (*.f64 z y))) |
(-.f64 x -1) |
x |
Compiled 195 to 118 computations (39.5% saved)
| 1× | egg-herbie |
| 228× | fma-def_binary64 |
| 171× | fma-neg_binary64 |
| 68× | cancel-sign-sub-inv_binary64 |
| 43× | distribute-rgt-in_binary64 |
| 39× | associate--r+_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 14 |
| 1 | 18 | 14 |
| 2 | 38 | 14 |
| 3 | 67 | 14 |
| 4 | 118 | 14 |
| 5 | 183 | 14 |
| 6 | 322 | 14 |
| 7 | 532 | 14 |
| 8 | 683 | 14 |
| 9 | 848 | 14 |
| 10 | 952 | 14 |
| 11 | 962 | 14 |
| 1× | saturated |
Compiled 100 to 68 computations (32% saved)
Compiled 165 to 70 computations (57.6% saved)
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