Time bar (total: 9.3s)
| 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)
| 1.4s | 2123× | body | 1024 | valid |
| 1.2s | 5074× | body | 256 | valid |
| 596.0ms | 1052× | body | 512 | valid |
| 7.0ms | 7× | body | 2048 | valid |
| 2× | egg-herbie |
| 516× | fma-def_binary64 |
| 380× | fma-neg_binary64 |
| 130× | cancel-sign-sub-inv_binary64 |
| 69× | sub-neg_binary64 |
| 64× | distribute-rgt-neg-in_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 22 | 56 |
| 1 | 53 | 56 |
| 2 | 104 | 56 |
| 3 | 167 | 56 |
| 4 | 263 | 56 |
| 5 | 435 | 56 |
| 6 | 743 | 56 |
| 7 | 1134 | 56 |
| 8 | 1663 | 56 |
| 9 | 1904 | 56 |
| 10 | 1930 | 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 (*.f64 y (cos.f64 x)) (*.f64 z (sin.f64 x))) |
(-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))) |
(-.f64 (*.f64 (cos.f64 y) z) (*.f64 x (sin.f64 y))) |
(-.f64 (*.f64 x (cos.f64 z)) (*.f64 y (sin.f64 z))) |
(fma.f64 x (cos.f64 z) (*.f64 (sin.f64 z) (neg.f64 y))) |
Compiled 15 to 11 computations (26.7% saved)
| 1× | egg-herbie |
| 171× | fma-def_binary64 |
| 87× | fma-neg_binary64 |
| 37× | cancel-sign-sub-inv_binary64 |
| 23× | distribute-rgt-neg-in_binary64 |
| 20× | sub-neg_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 14 |
| 1 | 17 | 14 |
| 2 | 32 | 14 |
| 3 | 49 | 14 |
| 4 | 76 | 14 |
| 5 | 124 | 14 |
| 6 | 205 | 14 |
| 7 | 306 | 14 |
| 8 | 408 | 14 |
| 9 | 524 | 14 |
| 10 | 582 | 14 |
| 11 | 588 | 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))) |
Compiled 12 to 8 computations (33.3% saved)
2 alts after pruning (2 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 0 | 1 | 1 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 0 | 0 |
| Total | 0 | 2 | 2 |
| Status | Error | Program |
|---|---|---|
| ▶ | 0.1b | (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
Compiled 12 to 8 computations (33.3% saved)
Found 6 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.1b | (*.f64 x (cos.f64 y)) | |
| 0.1b | (*.f64 z (sin.f64 y)) | |
| 0.0b | (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) | |
| ✓ | 0.0b | (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| ✓ | 0.1b | (*.f64 z (sin.f64 y)) |
| ✓ | 0.1b | (*.f64 x (cos.f64 y)) |
Compiled 27 to 8 computations (70.4% saved)
21 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | z | @ | -inf | (*.f64 z (sin.f64 y)) |
| 1.0ms | x | @ | 0 | (*.f64 x (cos.f64 y)) |
| 1.0ms | z | @ | 0 | (*.f64 z (sin.f64 y)) |
| 1.0ms | y | @ | 0 | (*.f64 x (cos.f64 y)) |
| 1.0ms | y | @ | 0 | (*.f64 z (sin.f64 y)) |
| 1× | batch-egg-rewrite |
| 518× | log-prod_binary64 |
| 391× | fma-def_binary64 |
| 382× | exp-prod_binary64 |
| 337× | pow-prod-down_binary64 |
| 268× | pow2_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 26 |
| 1 | 198 | 26 |
| 2 | 2660 | 26 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 x (cos.f64 y)) |
(*.f64 z (sin.f64 y)) |
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| Outputs |
|---|
((#(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 (pow.f64 (exp.f64 x) (cos.f64 y))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (cos.f64 y)))) (log.f64 (sqrt.f64 (pow.f64 (exp.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 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 (exp.f64 1) (log.f64 (*.f64 x (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 x (cos.f64 y)))) 2)) (cbrt.f64 (log.f64 (*.f64 x (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 x (cos.f64 y))))) (sqrt.f64 (log.f64 (*.f64 x (cos.f64 y)))))))) (#(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 (pow.f64 (exp.f64 x) (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3))))) (#(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 expm1.f64 (log1p.f64 (*.f64 x (cos.f64 y)))))))) |
((#(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 (exp.f64 1) (log.f64 (*.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 z (sin.f64 y)))) 2)) (cbrt.f64 (log.f64 (*.f64 z (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 z (sin.f64 y))))) (sqrt.f64 (log.f64 (*.f64 z (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 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 exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 z (sin.f64 y))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 z (sin.f64 y))) 3) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.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 x (cos.f64 y)) (fma.f64 z (neg.f64 (sin.f64 y)) (fma.f64 z (neg.f64 (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 z (neg.f64 (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 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (*.f64 (fma.f64 z (neg.f64 (sin.f64 y)) (*.f64 z (sin.f64 y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (+.f64 (fma.f64 z (neg.f64 (sin.f64 y)) (*.f64 z (sin.f64 y))) (fma.f64 z (neg.f64 (sin.f64 y)) (*.f64 z (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 z (neg.f64 (sin.f64 y)) (*.f64 z (sin.f64 y))) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 y) (neg.f64 z)) (*.f64 x (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 (*.f64 x (cos.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))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) (pow.f64 (cbrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) 2) (cbrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) (sqrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.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 x (cos.f64 y) (*.f64 z (sin.f64 y))) (pow.f64 (*.f64 x (cos.f64 y)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2)) (/.f64 1 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.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)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (*.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) (pow.f64 (*.f64 x (cos.f64 y)) 2)) (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 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(cos.f64 y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (fma.f64 z (neg.f64 (sin.f64 y)) (fma.f64 z (neg.f64 (sin.f64 y)) (*.f64 z (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cos.f64 y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (neg.f64 (-.f64 (*.f64 z (sin.f64 y)) (fma.f64 z (neg.f64 (sin.f64 y)) (*.f64 z (sin.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cos.f64 y) (sqrt.f64 x)) (sqrt.f64 x) (*.f64 (sin.f64 y) (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cos.f64 y) (sqrt.f64 x)) (sqrt.f64 x) (*.f64 (*.f64 (sin.f64 y) (neg.f64 z)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cos.f64 y) (sqrt.f64 x)) (sqrt.f64 x) (fma.f64 z (neg.f64 (sin.f64 y)) (fma.f64 z (neg.f64 (sin.f64 y)) (*.f64 z (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cos.f64 y) (sqrt.f64 x)) (sqrt.f64 x) (neg.f64 (-.f64 (*.f64 z (sin.f64 y)) (fma.f64 z (neg.f64 (sin.f64 y)) (*.f64 z (sin.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 |
| 472× | *-commutative_binary64 |
| 434× | distribute-rgt-neg-in_binary64 |
| 403× | distribute-lft-out_binary64 |
| 372× | sub-neg_binary64 |
| 335× | cancel-sign-sub-inv_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 60 | 721 |
| 1 | 170 | 715 |
| 2 | 472 | 698 |
| 3 | 1513 | 693 |
| 4 | 2746 | 693 |
| 5 | 5559 | 693 |
| 6 | 7480 | 693 |
| 1× | node limit |
| Inputs |
|---|
(*.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) x) |
(*.f64 (cos.f64 y) x) |
(*.f64 (cos.f64 y) x) |
(*.f64 (cos.f64 y) x) |
x |
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) x) |
(+.f64 (*.f64 1/24 (*.f64 (pow.f64 y 4) x)) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) x)) |
(+.f64 (*.f64 -1/720 (*.f64 (pow.f64 y 6) x)) (+.f64 (*.f64 1/24 (*.f64 (pow.f64 y 4) x)) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) 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 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 -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 (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 (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)) |
x |
(+.f64 (*.f64 -1 (*.f64 y z)) x) |
(+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) x)) |
(+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) (+.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 (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) x) |
(*.f64 (cos.f64 y) x) |
(*.f64 (cos.f64 y) x) |
(*.f64 (cos.f64 y) x) |
x |
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) x) |
(fma.f64 -1/2 (*.f64 x (*.f64 y y)) x) |
(fma.f64 -1/2 (*.f64 y (*.f64 y x)) x) |
(fma.f64 x (*.f64 -1/2 (*.f64 y y)) x) |
(*.f64 x (fma.f64 -1/2 (*.f64 y y) 1)) |
(+.f64 (*.f64 1/24 (*.f64 (pow.f64 y 4) x)) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) x)) |
(fma.f64 1/24 (*.f64 x (pow.f64 y 4)) (fma.f64 -1/2 (*.f64 x (*.f64 y y)) x)) |
(fma.f64 1/24 (*.f64 x (pow.f64 y 4)) (fma.f64 -1/2 (*.f64 y (*.f64 y x)) x)) |
(fma.f64 x (fma.f64 1/24 (pow.f64 y 4) (*.f64 -1/2 (*.f64 y y))) x) |
(fma.f64 x (fma.f64 1/24 (pow.f64 y 4) (*.f64 y (*.f64 y -1/2))) x) |
(+.f64 (*.f64 -1/720 (*.f64 (pow.f64 y 6) x)) (+.f64 (*.f64 1/24 (*.f64 (pow.f64 y 4) x)) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) x))) |
(fma.f64 -1/720 (*.f64 x (pow.f64 y 6)) (fma.f64 1/24 (*.f64 x (pow.f64 y 4)) (fma.f64 -1/2 (*.f64 x (*.f64 y y)) x))) |
(fma.f64 -1/720 (*.f64 x (pow.f64 y 6)) (fma.f64 1/24 (*.f64 x (pow.f64 y 4)) (fma.f64 -1/2 (*.f64 y (*.f64 y x)) x))) |
(fma.f64 x (fma.f64 -1/720 (pow.f64 y 6) (*.f64 1/24 (pow.f64 y 4))) (fma.f64 x (*.f64 -1/2 (*.f64 y y)) x)) |
(*.f64 x (+.f64 (fma.f64 -1/720 (pow.f64 y 6) (*.f64 1/24 (pow.f64 y 4))) (fma.f64 -1/2 (*.f64 y y) 1))) |
(*.f64 x (+.f64 (fma.f64 -1/2 (*.f64 y y) 1) (fma.f64 -1/720 (pow.f64 y 6) (*.f64 1/24 (pow.f64 y 4))))) |
(*.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 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 1/120 (pow.f64 y 5)) (fma.f64 -1/6 (pow.f64 y 3) y))) |
(*.f64 z (+.f64 (*.f64 -1/6 (pow.f64 y 3)) (fma.f64 1/120 (pow.f64 y 5) 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 1/120 (pow.f64 y 5) (*.f64 -1/5040 (pow.f64 y 7))) (fma.f64 -1/6 (pow.f64 y 3) y))) |
(*.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 -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))) (*.f64 (cos.f64 y) x)) |
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(fma.f64 (neg.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))) |
(fma.f64 (neg.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))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.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))) |
(fma.f64 (neg.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))) |
(fma.f64 (neg.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))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.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))) |
(fma.f64 (neg.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))) |
(fma.f64 (neg.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))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) |
x |
(+.f64 (*.f64 -1 (*.f64 y z)) x) |
(fma.f64 -1 (*.f64 y z) x) |
(-.f64 x (*.f64 y z)) |
(fma.f64 z (neg.f64 y) x) |
(+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) x)) |
(fma.f64 -1 (*.f64 y z) (fma.f64 -1/2 (*.f64 x (*.f64 y y)) x)) |
(-.f64 (fma.f64 -1/2 (*.f64 y (*.f64 y x)) x) (*.f64 y z)) |
(-.f64 (fma.f64 x (*.f64 -1/2 (*.f64 y y)) x) (*.f64 y z)) |
(+.f64 x (*.f64 y (-.f64 (*.f64 -1/2 (*.f64 y x)) z))) |
(+.f64 x (*.f64 y (-.f64 (*.f64 x (*.f64 y -1/2)) z))) |
(+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 y 3) z)) x))) |
(fma.f64 -1 (*.f64 y z) (fma.f64 -1/2 (*.f64 x (*.f64 y y)) (fma.f64 1/6 (*.f64 z (pow.f64 y 3)) x))) |
(-.f64 (fma.f64 -1/2 (*.f64 y (*.f64 y x)) (fma.f64 (*.f64 z (pow.f64 y 3)) 1/6 x)) (*.f64 y z)) |
(-.f64 (fma.f64 x (*.f64 -1/2 (*.f64 y y)) (fma.f64 z (*.f64 (pow.f64 y 3) 1/6) x)) (*.f64 y z)) |
(-.f64 (*.f64 x (fma.f64 -1/2 (*.f64 y y) 1)) (*.f64 z (fma.f64 -1/6 (pow.f64 y 3) y))) |
(fma.f64 x (fma.f64 -1/2 (*.f64 y y) 1) (*.f64 z (fma.f64 (pow.f64 y 3) 1/6 (neg.f64 y)))) |
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) |
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) |
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) |
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) |
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) |
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) |
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) |
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.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))) |
(fma.f64 (neg.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))) |
(fma.f64 (neg.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))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.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 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x)) |
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(fma.f64 (neg.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))) |
(fma.f64 (neg.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))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.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 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x)) |
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(fma.f64 (neg.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))) |
(fma.f64 (neg.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))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) |
Compiled 5144 to 1134 computations (78% saved)
17 alts after pruning (16 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 238 | 16 | 254 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 238 | 17 | 255 |
| Status | Error | Program |
|---|---|---|
| 35.3b | (-.f64 (exp.f64 (log.f64 (*.f64 x (cos.f64 y)))) (*.f64 z (sin.f64 y))) | |
| 35.0b | (fma.f64 (sqrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) (sqrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) (fma.f64 z (neg.f64 (sin.f64 y)) (*.f64 z (sin.f64 y)))) | |
| ✓ | 0.1b | (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 30.7b | (fma.f64 z (neg.f64 y) x) | |
| ▶ | 0.9b | (fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (cos.f64 y)) (*.f64 (sin.f64 y) (neg.f64 z))) |
| ▶ | 35.0b | (pow.f64 (sqrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) 2) |
| 37.7b | (*.f64 z (neg.f64 (sin.f64 y))) | |
| 14.4b | (fma.f64 (sqrt.f64 (cos.f64 y)) (*.f64 (sqrt.f64 (cos.f64 y)) x) (*.f64 (sin.f64 y) (neg.f64 z))) | |
| ▶ | 0.2b | (+.f64 (*.f64 x (cos.f64 y)) (fma.f64 z (neg.f64 (sin.f64 y)) (fma.f64 z (neg.f64 (sin.f64 y)) (*.f64 z (sin.f64 y))))) |
| 33.7b | (fma.f64 (*.f64 (neg.f64 z) (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y)) (*.f64 x (cos.f64 y))) | |
| 0.3b | (fma.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 2)) (*.f64 (cbrt.f64 (cos.f64 y)) x) (*.f64 (sin.f64 y) (neg.f64 z))) | |
| 0.6b | (-.f64 (*.f64 x (cos.f64 y)) (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 3)) | |
| 22.9b | (-.f64 (*.f64 x (cos.f64 y)) (*.f64 y z)) | |
| 33.2b | (fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (cos.f64 y)) (*.f64 (sin.f64 y) (neg.f64 z))) | |
| 32.0b | (+.f64 x (*.f64 y (-.f64 (*.f64 x (*.f64 y -1/2)) z))) | |
| ▶ | 30.7b | (+.f64 (*.f64 -1 (*.f64 y z)) x) |
| ▶ | 13.4b | (-.f64 x (*.f64 z (sin.f64 y))) |
Compiled 504 to 308 computations (38.9% saved)
Found 8 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.1b | (*.f64 x (cos.f64 y)) | |
| 0.1b | (fma.f64 z (neg.f64 (sin.f64 y)) (fma.f64 z (neg.f64 (sin.f64 y)) (*.f64 z (sin.f64 y)))) | |
| 0.1b | (*.f64 z (sin.f64 y)) | |
| 0.0b | (+.f64 (*.f64 x (cos.f64 y)) (fma.f64 z (neg.f64 (sin.f64 y)) (fma.f64 z (neg.f64 (sin.f64 y)) (*.f64 z (sin.f64 y))))) | |
| 0.1b | (*.f64 z (sin.f64 y)) | |
| ✓ | 0.1b | (fma.f64 z (neg.f64 (sin.f64 y)) (fma.f64 z (neg.f64 (sin.f64 y)) (*.f64 z (sin.f64 y)))) |
| 0.1b | (*.f64 x (cos.f64 y)) | |
| ✓ | 53.0b | (fma.f64 z (neg.f64 (sin.f64 y)) (*.f64 z (sin.f64 y))) |
Compiled 63 to 11 computations (82.5% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | -inf | (fma.f64 z (neg.f64 (sin.f64 y)) (*.f64 z (sin.f64 y))) |
| 1.0ms | z | @ | -inf | (fma.f64 z (neg.f64 (sin.f64 y)) (*.f64 z (sin.f64 y))) |
| 1.0ms | z | @ | 0 | (fma.f64 z (neg.f64 (sin.f64 y)) (*.f64 z (sin.f64 y))) |
| 1.0ms | z | @ | inf | (fma.f64 z (neg.f64 (sin.f64 y)) (*.f64 z (sin.f64 y))) |
| 1.0ms | y | @ | 0 | (fma.f64 z (neg.f64 (sin.f64 y)) (fma.f64 z (neg.f64 (sin.f64 y)) (*.f64 z (sin.f64 y)))) |
| 1× | batch-egg-rewrite |
| 689× | pow1_binary64 |
| 630× | add-log-exp_binary64 |
| 629× | log1p-expm1-u_binary64 |
| 629× | expm1-log1p-u_binary64 |
| 616× | add-exp-log_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 36 |
| 1 | 161 | 28 |
| 2 | 2013 | 28 |
| 1× | node limit |
| Inputs |
|---|
(fma.f64 z (neg.f64 (sin.f64 y)) (*.f64 z (sin.f64 y))) |
(fma.f64 z (neg.f64 (sin.f64 y)) (fma.f64 z (neg.f64 (sin.f64 y)) (*.f64 z (sin.f64 y)))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 z (sin.f64 y)) (*.f64 z (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 z (+.f64 (sin.f64 y) (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y)))) (pow.f64 (cbrt.f64 (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y)))) 2) (cbrt.f64 (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y)))) (sqrt.f64 (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (-.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2)) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y))))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 z (sin.f64 y)) (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y))) (*.f64 z (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 z (sin.f64 y) (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 z (sin.f64 y) (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 z (sin.f64 y) (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y))))) (pow.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y))))) 2) (cbrt.f64 (fma.f64 z (sin.f64 y) (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 z (sin.f64 y) (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y))))) (sqrt.f64 (fma.f64 z (sin.f64 y) (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3) (pow.f64 (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y))) 3)) (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (-.f64 (pow.f64 (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y))) 2) (*.f64 (*.f64 z (sin.f64 y)) (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (pow.f64 (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y))) 2)) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 z (sin.f64 y) (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 z (sin.f64 y) (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 z (sin.f64 y) (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 z (sin.f64 y) (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 z (sin.f64 y) (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 z (sin.f64 y) (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 z (sin.f64 y) (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 z (sin.f64 y) (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 z (sin.f64 y) (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y)))))))))) |
| 1× | egg-herbie |
| 751× | fma-def_binary64 |
| 541× | distribute-rgt-in_binary64 |
| 468× | distribute-lft-in_binary64 |
| 464× | distribute-rgt-out_binary64 |
| 349× | *-commutative_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 76 | 460 |
| 1 | 232 | 268 |
| 2 | 714 | 265 |
| 3 | 3733 | 256 |
| 4 | 6827 | 256 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (+.f64 (*.f64 -1 (sin.f64 y)) (sin.f64 y)) z) |
(*.f64 (+.f64 (*.f64 -1 (sin.f64 y)) (sin.f64 y)) z) |
(*.f64 (+.f64 (*.f64 -1 (sin.f64 y)) (sin.f64 y)) z) |
(*.f64 (+.f64 (*.f64 -1 (sin.f64 y)) (sin.f64 y)) z) |
(*.f64 (+.f64 (*.f64 -1 (sin.f64 y)) (sin.f64 y)) z) |
(*.f64 (+.f64 (*.f64 -1 (sin.f64 y)) (sin.f64 y)) z) |
(*.f64 (+.f64 (*.f64 -1 (sin.f64 y)) (sin.f64 y)) z) |
(*.f64 (+.f64 (*.f64 -1 (sin.f64 y)) (sin.f64 y)) z) |
(*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (sin.f64 y)) (sin.f64 y)) z)) |
(*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (sin.f64 y)) (sin.f64 y)) z)) |
(*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (sin.f64 y)) (sin.f64 y)) z)) |
(*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (sin.f64 y)) (sin.f64 y)) z)) |
(*.f64 (+.f64 (*.f64 -1 z) z) y) |
(+.f64 (*.f64 (pow.f64 y 3) (+.f64 (*.f64 -1/6 z) (*.f64 1/6 z))) (*.f64 (+.f64 (*.f64 -1 z) z) y)) |
(+.f64 (*.f64 (pow.f64 y 3) (+.f64 (*.f64 -1/6 z) (*.f64 1/6 z))) (+.f64 (*.f64 (+.f64 (*.f64 1/120 z) (*.f64 -1/120 z)) (pow.f64 y 5)) (*.f64 (+.f64 (*.f64 -1 z) z) y))) |
(+.f64 (*.f64 (pow.f64 y 3) (+.f64 (*.f64 -1/6 z) (*.f64 1/6 z))) (+.f64 (*.f64 (+.f64 (*.f64 -1/5040 z) (*.f64 1/5040 z)) (pow.f64 y 7)) (+.f64 (*.f64 (+.f64 (*.f64 1/120 z) (*.f64 -1/120 z)) (pow.f64 y 5)) (*.f64 (+.f64 (*.f64 -1 z) z) y)))) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y))) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y))) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y))) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y))) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y))) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y))) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y))) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y))) |
(*.f64 (+.f64 (*.f64 -2 (sin.f64 y)) (sin.f64 y)) z) |
(*.f64 (+.f64 (*.f64 -2 (sin.f64 y)) (sin.f64 y)) z) |
(*.f64 (+.f64 (*.f64 -2 (sin.f64 y)) (sin.f64 y)) z) |
(*.f64 (+.f64 (*.f64 -2 (sin.f64 y)) (sin.f64 y)) z) |
(*.f64 (+.f64 (*.f64 -2 (sin.f64 y)) (sin.f64 y)) z) |
(*.f64 (+.f64 (*.f64 -2 (sin.f64 y)) (sin.f64 y)) z) |
(*.f64 (+.f64 (*.f64 -2 (sin.f64 y)) (sin.f64 y)) z) |
(*.f64 (+.f64 (*.f64 -2 (sin.f64 y)) (sin.f64 y)) z) |
(*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (sin.f64 y)) (*.f64 2 (sin.f64 y))) z)) |
(*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (sin.f64 y)) (*.f64 2 (sin.f64 y))) z)) |
(*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (sin.f64 y)) (*.f64 2 (sin.f64 y))) z)) |
(*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (sin.f64 y)) (*.f64 2 (sin.f64 y))) z)) |
(*.f64 (+.f64 (*.f64 -2 z) z) y) |
(+.f64 (*.f64 (+.f64 (*.f64 -2 z) z) y) (*.f64 (+.f64 (*.f64 -1/6 z) (*.f64 1/3 z)) (pow.f64 y 3))) |
(+.f64 (*.f64 (+.f64 (*.f64 -2 z) z) y) (+.f64 (*.f64 (+.f64 (*.f64 -1/6 z) (*.f64 1/3 z)) (pow.f64 y 3)) (*.f64 (+.f64 (*.f64 1/120 z) (*.f64 -1/60 z)) (pow.f64 y 5)))) |
(+.f64 (*.f64 (+.f64 (*.f64 -2 z) z) y) (+.f64 (*.f64 (+.f64 (*.f64 -1/6 z) (*.f64 1/3 z)) (pow.f64 y 3)) (+.f64 (*.f64 (pow.f64 y 7) (+.f64 (*.f64 1/2520 z) (*.f64 -1/5040 z))) (*.f64 (+.f64 (*.f64 1/120 z) (*.f64 -1/60 z)) (pow.f64 y 5))))) |
(+.f64 (*.f64 -2 (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y))) |
(+.f64 (*.f64 -2 (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y))) |
(+.f64 (*.f64 -2 (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y))) |
(+.f64 (*.f64 -2 (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y))) |
(+.f64 (*.f64 -2 (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y))) |
(+.f64 (*.f64 -2 (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y))) |
(+.f64 (*.f64 -2 (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y))) |
(+.f64 (*.f64 -2 (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y))) |
| Outputs |
|---|
(*.f64 (+.f64 (*.f64 -1 (sin.f64 y)) (sin.f64 y)) z) |
(*.f64 (*.f64 0 (sin.f64 y)) z) |
0 |
(*.f64 (+.f64 (*.f64 -1 (sin.f64 y)) (sin.f64 y)) z) |
(*.f64 (*.f64 0 (sin.f64 y)) z) |
0 |
(*.f64 (+.f64 (*.f64 -1 (sin.f64 y)) (sin.f64 y)) z) |
(*.f64 (*.f64 0 (sin.f64 y)) z) |
0 |
(*.f64 (+.f64 (*.f64 -1 (sin.f64 y)) (sin.f64 y)) z) |
(*.f64 (*.f64 0 (sin.f64 y)) z) |
0 |
(*.f64 (+.f64 (*.f64 -1 (sin.f64 y)) (sin.f64 y)) z) |
(*.f64 (*.f64 0 (sin.f64 y)) z) |
0 |
(*.f64 (+.f64 (*.f64 -1 (sin.f64 y)) (sin.f64 y)) z) |
(*.f64 (*.f64 0 (sin.f64 y)) z) |
0 |
(*.f64 (+.f64 (*.f64 -1 (sin.f64 y)) (sin.f64 y)) z) |
(*.f64 (*.f64 0 (sin.f64 y)) z) |
0 |
(*.f64 (+.f64 (*.f64 -1 (sin.f64 y)) (sin.f64 y)) z) |
(*.f64 (*.f64 0 (sin.f64 y)) z) |
0 |
(*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (sin.f64 y)) (sin.f64 y)) z)) |
(*.f64 (*.f64 0 (sin.f64 y)) z) |
0 |
(*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (sin.f64 y)) (sin.f64 y)) z)) |
(*.f64 (*.f64 0 (sin.f64 y)) z) |
0 |
(*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (sin.f64 y)) (sin.f64 y)) z)) |
(*.f64 (*.f64 0 (sin.f64 y)) z) |
0 |
(*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (sin.f64 y)) (sin.f64 y)) z)) |
(*.f64 (*.f64 0 (sin.f64 y)) z) |
0 |
(*.f64 (+.f64 (*.f64 -1 z) z) y) |
(*.f64 (*.f64 0 (sin.f64 y)) z) |
0 |
(+.f64 (*.f64 (pow.f64 y 3) (+.f64 (*.f64 -1/6 z) (*.f64 1/6 z))) (*.f64 (+.f64 (*.f64 -1 z) z) y)) |
(*.f64 (*.f64 0 (sin.f64 y)) z) |
0 |
(+.f64 (*.f64 (pow.f64 y 3) (+.f64 (*.f64 -1/6 z) (*.f64 1/6 z))) (+.f64 (*.f64 (+.f64 (*.f64 1/120 z) (*.f64 -1/120 z)) (pow.f64 y 5)) (*.f64 (+.f64 (*.f64 -1 z) z) y))) |
(*.f64 (*.f64 0 (sin.f64 y)) z) |
0 |
(+.f64 (*.f64 (pow.f64 y 3) (+.f64 (*.f64 -1/6 z) (*.f64 1/6 z))) (+.f64 (*.f64 (+.f64 (*.f64 -1/5040 z) (*.f64 1/5040 z)) (pow.f64 y 7)) (+.f64 (*.f64 (+.f64 (*.f64 1/120 z) (*.f64 -1/120 z)) (pow.f64 y 5)) (*.f64 (+.f64 (*.f64 -1 z) z) y)))) |
(*.f64 (*.f64 0 (sin.f64 y)) z) |
0 |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y))) |
(*.f64 (*.f64 0 (sin.f64 y)) z) |
0 |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y))) |
(*.f64 (*.f64 0 (sin.f64 y)) z) |
0 |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y))) |
(*.f64 (*.f64 0 (sin.f64 y)) z) |
0 |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y))) |
(*.f64 (*.f64 0 (sin.f64 y)) z) |
0 |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y))) |
(*.f64 (*.f64 0 (sin.f64 y)) z) |
0 |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y))) |
(*.f64 (*.f64 0 (sin.f64 y)) z) |
0 |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y))) |
(*.f64 (*.f64 0 (sin.f64 y)) z) |
0 |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y))) |
(*.f64 (*.f64 0 (sin.f64 y)) z) |
0 |
(*.f64 (+.f64 (*.f64 -2 (sin.f64 y)) (sin.f64 y)) z) |
(*.f64 (neg.f64 (sin.f64 y)) z) |
(*.f64 (sin.f64 y) (neg.f64 z)) |
(*.f64 (+.f64 (*.f64 -2 (sin.f64 y)) (sin.f64 y)) z) |
(*.f64 (neg.f64 (sin.f64 y)) z) |
(*.f64 (sin.f64 y) (neg.f64 z)) |
(*.f64 (+.f64 (*.f64 -2 (sin.f64 y)) (sin.f64 y)) z) |
(*.f64 (neg.f64 (sin.f64 y)) z) |
(*.f64 (sin.f64 y) (neg.f64 z)) |
(*.f64 (+.f64 (*.f64 -2 (sin.f64 y)) (sin.f64 y)) z) |
(*.f64 (neg.f64 (sin.f64 y)) z) |
(*.f64 (sin.f64 y) (neg.f64 z)) |
(*.f64 (+.f64 (*.f64 -2 (sin.f64 y)) (sin.f64 y)) z) |
(*.f64 (neg.f64 (sin.f64 y)) z) |
(*.f64 (sin.f64 y) (neg.f64 z)) |
(*.f64 (+.f64 (*.f64 -2 (sin.f64 y)) (sin.f64 y)) z) |
(*.f64 (neg.f64 (sin.f64 y)) z) |
(*.f64 (sin.f64 y) (neg.f64 z)) |
(*.f64 (+.f64 (*.f64 -2 (sin.f64 y)) (sin.f64 y)) z) |
(*.f64 (neg.f64 (sin.f64 y)) z) |
(*.f64 (sin.f64 y) (neg.f64 z)) |
(*.f64 (+.f64 (*.f64 -2 (sin.f64 y)) (sin.f64 y)) z) |
(*.f64 (neg.f64 (sin.f64 y)) z) |
(*.f64 (sin.f64 y) (neg.f64 z)) |
(*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (sin.f64 y)) (*.f64 2 (sin.f64 y))) z)) |
(*.f64 (neg.f64 (sin.f64 y)) z) |
(*.f64 (sin.f64 y) (neg.f64 z)) |
(*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (sin.f64 y)) (*.f64 2 (sin.f64 y))) z)) |
(*.f64 (neg.f64 (sin.f64 y)) z) |
(*.f64 (sin.f64 y) (neg.f64 z)) |
(*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (sin.f64 y)) (*.f64 2 (sin.f64 y))) z)) |
(*.f64 (neg.f64 (sin.f64 y)) z) |
(*.f64 (sin.f64 y) (neg.f64 z)) |
(*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (sin.f64 y)) (*.f64 2 (sin.f64 y))) z)) |
(*.f64 (neg.f64 (sin.f64 y)) z) |
(*.f64 (sin.f64 y) (neg.f64 z)) |
(*.f64 (+.f64 (*.f64 -2 z) z) y) |
(*.f64 y (neg.f64 z)) |
(+.f64 (*.f64 (+.f64 (*.f64 -2 z) z) y) (*.f64 (+.f64 (*.f64 -1/6 z) (*.f64 1/3 z)) (pow.f64 y 3))) |
(fma.f64 (neg.f64 z) y (*.f64 (pow.f64 y 3) (*.f64 z 1/6))) |
(fma.f64 y (neg.f64 z) (*.f64 (pow.f64 y 3) (*.f64 z 1/6))) |
(*.f64 z (+.f64 (neg.f64 y) (*.f64 (pow.f64 y 3) 1/6))) |
(*.f64 z (-.f64 (*.f64 (pow.f64 y 3) 1/6) y)) |
(+.f64 (*.f64 (+.f64 (*.f64 -2 z) z) y) (+.f64 (*.f64 (+.f64 (*.f64 -1/6 z) (*.f64 1/3 z)) (pow.f64 y 3)) (*.f64 (+.f64 (*.f64 1/120 z) (*.f64 -1/60 z)) (pow.f64 y 5)))) |
(fma.f64 (neg.f64 z) y (fma.f64 (*.f64 z 1/6) (pow.f64 y 3) (*.f64 (pow.f64 y 5) (*.f64 z -1/120)))) |
(fma.f64 y (neg.f64 z) (fma.f64 (pow.f64 y 3) (*.f64 z 1/6) (*.f64 z (*.f64 -1/120 (pow.f64 y 5))))) |
(-.f64 (*.f64 z (+.f64 (*.f64 (pow.f64 y 3) 1/6) (*.f64 -1/120 (pow.f64 y 5)))) (*.f64 y z)) |
(*.f64 z (-.f64 (+.f64 (*.f64 -1/120 (pow.f64 y 5)) (*.f64 (pow.f64 y 3) 1/6)) y)) |
(+.f64 (*.f64 (+.f64 (*.f64 -2 z) z) y) (+.f64 (*.f64 (+.f64 (*.f64 -1/6 z) (*.f64 1/3 z)) (pow.f64 y 3)) (+.f64 (*.f64 (pow.f64 y 7) (+.f64 (*.f64 1/2520 z) (*.f64 -1/5040 z))) (*.f64 (+.f64 (*.f64 1/120 z) (*.f64 -1/60 z)) (pow.f64 y 5))))) |
(fma.f64 (neg.f64 z) y (fma.f64 (*.f64 z 1/6) (pow.f64 y 3) (fma.f64 (pow.f64 y 7) (*.f64 z 1/5040) (*.f64 (pow.f64 y 5) (*.f64 z -1/120))))) |
(fma.f64 y (neg.f64 z) (fma.f64 (pow.f64 y 3) (*.f64 z 1/6) (fma.f64 (pow.f64 y 5) (*.f64 z -1/120) (*.f64 z (*.f64 1/5040 (pow.f64 y 7)))))) |
(-.f64 (fma.f64 z (*.f64 1/5040 (pow.f64 y 7)) (*.f64 z (+.f64 (*.f64 (pow.f64 y 3) 1/6) (*.f64 -1/120 (pow.f64 y 5))))) (*.f64 y z)) |
(*.f64 z (+.f64 (+.f64 (*.f64 1/5040 (pow.f64 y 7)) (*.f64 -1/120 (pow.f64 y 5))) (-.f64 (*.f64 (pow.f64 y 3) 1/6) y))) |
(+.f64 (*.f64 -2 (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y))) |
(*.f64 (neg.f64 (sin.f64 y)) z) |
(*.f64 (sin.f64 y) (neg.f64 z)) |
(+.f64 (*.f64 -2 (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y))) |
(*.f64 (neg.f64 (sin.f64 y)) z) |
(*.f64 (sin.f64 y) (neg.f64 z)) |
(+.f64 (*.f64 -2 (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y))) |
(*.f64 (neg.f64 (sin.f64 y)) z) |
(*.f64 (sin.f64 y) (neg.f64 z)) |
(+.f64 (*.f64 -2 (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y))) |
(*.f64 (neg.f64 (sin.f64 y)) z) |
(*.f64 (sin.f64 y) (neg.f64 z)) |
(+.f64 (*.f64 -2 (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y))) |
(*.f64 (neg.f64 (sin.f64 y)) z) |
(*.f64 (sin.f64 y) (neg.f64 z)) |
(+.f64 (*.f64 -2 (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y))) |
(*.f64 (neg.f64 (sin.f64 y)) z) |
(*.f64 (sin.f64 y) (neg.f64 z)) |
(+.f64 (*.f64 -2 (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y))) |
(*.f64 (neg.f64 (sin.f64 y)) z) |
(*.f64 (sin.f64 y) (neg.f64 z)) |
(+.f64 (*.f64 -2 (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y))) |
(*.f64 (neg.f64 (sin.f64 y)) z) |
(*.f64 (sin.f64 y) (neg.f64 z)) |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (+.f64 (*.f64 -1 (*.f64 y z)) x) | |
| ✓ | 0.0b | (+.f64 (*.f64 -1 (*.f64 y z)) x) |
Compiled 22 to 10 computations (54.5% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | 0 | (+.f64 (*.f64 -1 (*.f64 y z)) x) |
| 0.0ms | y | @ | inf | (+.f64 (*.f64 -1 (*.f64 y z)) x) |
| 0.0ms | z | @ | inf | (+.f64 (*.f64 -1 (*.f64 y z)) x) |
| 0.0ms | z | @ | 0 | (+.f64 (*.f64 -1 (*.f64 y z)) x) |
| 0.0ms | x | @ | 0 | (+.f64 (*.f64 -1 (*.f64 y z)) x) |
| 1× | batch-egg-rewrite |
| 782× | pow1_binary64 |
| 723× | add-log-exp_binary64 |
| 723× | log1p-expm1-u_binary64 |
| 723× | expm1-log1p-u_binary64 |
| 708× | add-exp-log_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 8 |
| 1 | 167 | 7 |
| 2 | 2272 | 7 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 (*.f64 -1 (*.f64 y z)) x) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 x (*.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (+.f64 (*.f64 y z) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (*.f64 y z) 2) (-.f64 (*.f64 y z) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 y z) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 y z) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (*.f64 y z) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (*.f64 y z) x)) (pow.f64 (cbrt.f64 (+.f64 (*.f64 y z) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (*.f64 y z) x)) 2) (cbrt.f64 (+.f64 (*.f64 y z) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (*.f64 y z) x)) (sqrt.f64 (+.f64 (*.f64 y z) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (*.f64 y z) 3) (pow.f64 x 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 y z) 2) (*.f64 x (+.f64 (*.f64 y z) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (*.f64 y z) 2) (*.f64 x x)) (/.f64 1 (-.f64 (*.f64 y z) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 y z) 2) (*.f64 x (+.f64 (*.f64 y z) x))) (+.f64 (pow.f64 (*.f64 y z) 3) (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (*.f64 y z) x) (-.f64 (pow.f64 (*.f64 y z) 2) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 y z) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (*.f64 y z) 2) (*.f64 x (+.f64 (*.f64 y z) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 y z) 3) (pow.f64 x 3)) (+.f64 (*.f64 x x) (-.f64 (pow.f64 (*.f64 y z) 2) (*.f64 (*.f64 y z) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 y z) 2) (*.f64 x x)) (-.f64 (*.f64 y z) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 y z) 3) (pow.f64 x 3))) (neg.f64 (+.f64 (pow.f64 (*.f64 y z) 2) (*.f64 x (+.f64 (*.f64 y z) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 y z) 2) (*.f64 x x))) (neg.f64 (-.f64 (*.f64 y z) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 y z) 2)) (+.f64 (*.f64 y z) x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (*.f64 y z) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (*.f64 y z) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (*.f64 y z) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (*.f64 y z) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (*.f64 y z) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (*.f64 y z) x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (*.f64 y z) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (*.f64 y z) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (*.f64 y z) x)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (*.f64 y z) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (*.f64 y z) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y z) -1 x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 y z) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (*.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 y z)) 2) (cbrt.f64 (*.f64 y z)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 y z)) (sqrt.f64 (*.f64 y z)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 y) z x))))) |
| 1× | egg-herbie |
| 38× | fma-def_binary64 |
| 9× | sub-neg_binary64 |
| 6× | +-commutative_binary64 |
| 4× | *-commutative_binary64 |
| 4× | distribute-lft-in_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 34 |
| 1 | 12 | 34 |
| 2 | 25 | 34 |
| 3 | 29 | 34 |
| 4 | 33 | 34 |
| 5 | 51 | 34 |
| 6 | 73 | 34 |
| 7 | 84 | 34 |
| 8 | 96 | 34 |
| 9 | 121 | 34 |
| 1× | saturated |
| Inputs |
|---|
x |
(*.f64 -1 (*.f64 y z)) |
(*.f64 -1 (*.f64 y z)) |
x |
(*.f64 -1 (*.f64 y z)) |
(*.f64 -1 (*.f64 y z)) |
(*.f64 -1 (*.f64 y z)) |
x |
x |
| Outputs |
|---|
x |
(*.f64 -1 (*.f64 y z)) |
(neg.f64 (*.f64 y z)) |
(*.f64 y (neg.f64 z)) |
(*.f64 -1 (*.f64 y z)) |
(neg.f64 (*.f64 y z)) |
(*.f64 y (neg.f64 z)) |
x |
(*.f64 -1 (*.f64 y z)) |
(neg.f64 (*.f64 y z)) |
(*.f64 y (neg.f64 z)) |
(*.f64 -1 (*.f64 y z)) |
(neg.f64 (*.f64 y z)) |
(*.f64 y (neg.f64 z)) |
(*.f64 -1 (*.f64 y z)) |
(neg.f64 (*.f64 y z)) |
(*.f64 y (neg.f64 z)) |
x |
x |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.1b | (*.f64 z (sin.f64 y)) | |
| 0.0b | (-.f64 x (*.f64 z (sin.f64 y))) | |
| ✓ | 0.0b | (-.f64 x (*.f64 z (sin.f64 y))) |
| 0.1b | (*.f64 z (sin.f64 y)) |
Compiled 18 to 6 computations (66.7% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (-.f64 x (*.f64 z (sin.f64 y))) |
| 0.0ms | y | @ | 0 | (-.f64 x (*.f64 z (sin.f64 y))) |
| 0.0ms | y | @ | inf | (-.f64 x (*.f64 z (sin.f64 y))) |
| 0.0ms | x | @ | -inf | (-.f64 x (*.f64 z (sin.f64 y))) |
| 0.0ms | z | @ | -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 | 2081 | 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 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 expm1.f64 (log1p.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 |
| 812× | fma-def_binary64 |
| 703× | distribute-lft-neg-in_binary64 |
| 596× | unswap-sqr_binary64 |
| 544× | associate-*l*_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 26 | 262 |
| 1 | 74 | 241 |
| 2 | 196 | 236 |
| 3 | 506 | 233 |
| 4 | 1504 | 232 |
| 5 | 4249 | 232 |
| 6 | 6525 | 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 (sin.f64 y) (neg.f64 z)) |
(*.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 (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 (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 (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 (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 (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 (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 (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 (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 (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 (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 (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 (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))) x) |
(fma.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) |
(fma.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) |
(fma.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 (sin.f64 y) (neg.f64 z)) |
(*.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 (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 (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 (sin.f64 y) (neg.f64 z) x) |
x |
(+.f64 (*.f64 -1 (*.f64 y z)) x) |
(fma.f64 -1 (*.f64 z y) x) |
(fma.f64 (neg.f64 y) z x) |
(fma.f64 z (neg.f64 y) x) |
(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 (*.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)) |
(-.f64 (fma.f64 z (fma.f64 -1/120 (pow.f64 y 5) (*.f64 1/6 (pow.f64 y 3))) 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 1/6 (pow.f64 y 3) (fma.f64 -1/120 (pow.f64 y 5) (neg.f64 y))) x) |
(fma.f64 z (-.f64 (fma.f64 1/6 (pow.f64 y 3) (*.f64 -1/120 (pow.f64 y 5))) y) x) |
Found 8 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.1b | (*.f64 x (cos.f64 y)) | |
| 0.1b | (*.f64 z (sin.f64 y)) | |
| 0.0b | (sqrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) | |
| 0.0b | (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) | |
| ✓ | 0.0b | (sqrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) |
| 0.1b | (*.f64 z (sin.f64 y)) | |
| 0.1b | (*.f64 x (cos.f64 y)) | |
| ✓ | 0.2b | (pow.f64 (sqrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) 2) |
Compiled 50 to 12 computations (76% saved)
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 35.0ms | x | @ | inf | (sqrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) |
| 3.0ms | x | @ | inf | (pow.f64 (sqrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) 2) |
| 2.0ms | y | @ | 0 | (sqrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) |
| 2.0ms | x | @ | 0 | (pow.f64 (sqrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) 2) |
| 1.0ms | z | @ | inf | (pow.f64 (sqrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) 2) |
| 1× | batch-egg-rewrite |
| 576× | log-prod_binary64 |
| 422× | fma-def_binary64 |
| 374× | pow-prod-down_binary64 |
| 306× | pow2_binary64 |
| 212× | expm1-udef_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 30 |
| 1 | 263 | 30 |
| 2 | 3093 | 30 |
| 1× | node limit |
| Inputs |
|---|
(pow.f64 (sqrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) 2) |
(sqrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) |
| Outputs |
|---|
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y)) (*.f64 z (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3/2 (log.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) 1/6)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/4 (log.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 (sqrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) (sqrt.f64 (fma.f64 z (neg.f64 (sin.f64 y)) (*.f64 z (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) (sqrt.f64 (*.f64 (sin.f64 y) (neg.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 (sqrt.f64 (fma.f64 z (neg.f64 (sin.f64 y)) (*.f64 z (sin.f64 y)))) (sqrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 (sqrt.f64 (*.f64 (sin.f64 y) (neg.f64 z))) (sqrt.f64 (*.f64 x (cos.f64 y)))))))) |
| 1× | egg-herbie |
| 976× | fma-def_binary64 |
| 570× | associate-/r*_binary64 |
| 519× | associate-/l*_binary64 |
| 462× | *-commutative_binary64 |
| 342× | associate-*l/_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 164 | 1254 |
| 1 | 525 | 1144 |
| 2 | 2075 | 1072 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 z (sin.f64 y))) |
(+.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x)) |
(+.f64 (*.f64 (+.f64 (*.f64 -1/4 (/.f64 (pow.f64 (cos.f64 y) 2) (*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 z (sin.f64 y))))) (*.f64 1/4 (/.f64 (pow.f64 (cos.f64 y) 2) (*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 z (sin.f64 y)))))) (pow.f64 x 2)) (+.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))) |
(+.f64 (*.f64 (+.f64 (*.f64 -1/4 (/.f64 (pow.f64 (cos.f64 y) 2) (*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 z (sin.f64 y))))) (*.f64 1/4 (/.f64 (pow.f64 (cos.f64 y) 2) (*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 z (sin.f64 y)))))) (pow.f64 x 2)) (+.f64 (*.f64 (+.f64 (*.f64 1/8 (/.f64 (pow.f64 (cos.f64 y) 3) (*.f64 (pow.f64 (sqrt.f64 -1) 4) (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))))) (*.f64 -1/8 (/.f64 (pow.f64 (cos.f64 y) 3) (*.f64 (pow.f64 (sqrt.f64 -1) 4) (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)))))) (pow.f64 x 3)) (+.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x)))) |
x |
(+.f64 (*.f64 -1 (*.f64 y z)) x) |
(+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 (-.f64 (+.f64 (*.f64 1/4 (/.f64 (pow.f64 z 2) x)) (*.f64 -1/2 x)) (pow.f64 (*.f64 -1/2 (*.f64 z (sqrt.f64 (/.f64 1 x)))) 2)) (pow.f64 y 2)) x)) |
(+.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 (-.f64 (*.f64 -1/2 x) (pow.f64 (*.f64 -1/2 (*.f64 z (sqrt.f64 (/.f64 1 x)))) 2)) z) x)))) (*.f64 -1/2 (/.f64 (*.f64 (-.f64 (*.f64 -1/2 x) (pow.f64 (*.f64 -1/2 (*.f64 z (sqrt.f64 (/.f64 1 x)))) 2)) z) x)))) (+.f64 (*.f64 (-.f64 (+.f64 (*.f64 1/4 (/.f64 (pow.f64 z 2) x)) (*.f64 -1/2 x)) (pow.f64 (*.f64 -1/2 (*.f64 z (sqrt.f64 (/.f64 1 x)))) 2)) (pow.f64 y 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 (*.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)) (*.f64 (cos.f64 y) x))) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (*.f64 (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 (sin.f64 y) 3) (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)))) (*.f64 1/8 (/.f64 (pow.f64 (sin.f64 y) 3) (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2))))) (pow.f64 z 3)) (+.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)) (*.f64 (cos.f64 y) x)))) |
(*.f64 (sqrt.f64 -1) (sqrt.f64 (*.f64 z (sin.f64 y)))) |
(+.f64 (*.f64 1/2 (*.f64 (/.f64 (*.f64 (cos.f64 y) x) (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (*.f64 z (sin.f64 y)))))) (*.f64 (sqrt.f64 -1) (sqrt.f64 (*.f64 z (sin.f64 y))))) |
(+.f64 (*.f64 1/2 (*.f64 (/.f64 (*.f64 (cos.f64 y) x) (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (*.f64 z (sin.f64 y)))))) (+.f64 (*.f64 -1/8 (*.f64 (/.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)) (pow.f64 (sqrt.f64 -1) 3)) (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3)))))) (*.f64 (sqrt.f64 -1) (sqrt.f64 (*.f64 z (sin.f64 y)))))) |
(+.f64 (*.f64 1/2 (*.f64 (/.f64 (*.f64 (cos.f64 y) x) (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (*.f64 z (sin.f64 y)))))) (+.f64 (*.f64 1/16 (*.f64 (/.f64 (*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3)) (pow.f64 (sqrt.f64 -1) 5)) (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 z 5) (pow.f64 (sin.f64 y) 5)))))) (+.f64 (*.f64 -1/8 (*.f64 (/.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)) (pow.f64 (sqrt.f64 -1) 3)) (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3)))))) (*.f64 (sqrt.f64 -1) (sqrt.f64 (*.f64 z (sin.f64 y))))))) |
(sqrt.f64 x) |
(+.f64 (sqrt.f64 x) (*.f64 -1/2 (*.f64 (*.f64 y z) (sqrt.f64 (/.f64 1 x))))) |
(+.f64 (*.f64 1/2 (*.f64 (*.f64 (-.f64 (*.f64 -1/2 x) (pow.f64 (*.f64 -1/2 (*.f64 z (sqrt.f64 (/.f64 1 x)))) 2)) (pow.f64 y 2)) (sqrt.f64 (/.f64 1 x)))) (+.f64 (sqrt.f64 x) (*.f64 -1/2 (*.f64 (*.f64 y z) (sqrt.f64 (/.f64 1 x)))))) |
(+.f64 (*.f64 1/2 (*.f64 (*.f64 (-.f64 (*.f64 -1/2 x) (pow.f64 (*.f64 -1/2 (*.f64 z (sqrt.f64 (/.f64 1 x)))) 2)) (pow.f64 y 2)) (sqrt.f64 (/.f64 1 x)))) (+.f64 (sqrt.f64 x) (+.f64 (*.f64 -1/2 (*.f64 (*.f64 (pow.f64 y 3) (+.f64 (*.f64 -1/6 z) (*.f64 -1/2 (/.f64 (*.f64 (-.f64 (*.f64 -1/2 x) (pow.f64 (*.f64 -1/2 (*.f64 z (sqrt.f64 (/.f64 1 x)))) 2)) z) x)))) (sqrt.f64 (/.f64 1 x)))) (*.f64 -1/2 (*.f64 (*.f64 y z) (sqrt.f64 (/.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 (*.f64 z (sin.f64 y)) (sqrt.f64 (/.f64 1 (*.f64 (cos.f64 y) x)))))) |
(+.f64 (sqrt.f64 (*.f64 (cos.f64 y) x)) (+.f64 (*.f64 -1/8 (*.f64 (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)) (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3)))))) (*.f64 -1/2 (*.f64 (*.f64 z (sin.f64 y)) (sqrt.f64 (/.f64 1 (*.f64 (cos.f64 y) x))))))) |
(+.f64 (sqrt.f64 (*.f64 (cos.f64 y) x)) (+.f64 (*.f64 -1/8 (*.f64 (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)) (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3)))))) (+.f64 (*.f64 -1/2 (*.f64 (*.f64 z (sin.f64 y)) (sqrt.f64 (/.f64 1 (*.f64 (cos.f64 y) x))))) (*.f64 -1/16 (*.f64 (*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3)) (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 (cos.f64 y) 5) (pow.f64 x 5))))))))) |
| Outputs |
|---|
(*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 z (sin.f64 y))) |
(*.f64 (sin.f64 y) (neg.f64 z)) |
(+.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x)) |
(fma.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x)) |
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(+.f64 (*.f64 (+.f64 (*.f64 -1/4 (/.f64 (pow.f64 (cos.f64 y) 2) (*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 z (sin.f64 y))))) (*.f64 1/4 (/.f64 (pow.f64 (cos.f64 y) 2) (*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 z (sin.f64 y)))))) (pow.f64 x 2)) (+.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))) |
(fma.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x)) |
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(+.f64 (*.f64 (+.f64 (*.f64 -1/4 (/.f64 (pow.f64 (cos.f64 y) 2) (*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 z (sin.f64 y))))) (*.f64 1/4 (/.f64 (pow.f64 (cos.f64 y) 2) (*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 z (sin.f64 y)))))) (pow.f64 x 2)) (+.f64 (*.f64 (+.f64 (*.f64 1/8 (/.f64 (pow.f64 (cos.f64 y) 3) (*.f64 (pow.f64 (sqrt.f64 -1) 4) (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))))) (*.f64 -1/8 (/.f64 (pow.f64 (cos.f64 y) 3) (*.f64 (pow.f64 (sqrt.f64 -1) 4) (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)))))) (pow.f64 x 3)) (+.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x)))) |
(fma.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x)) |
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
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) |
(+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 (-.f64 (+.f64 (*.f64 1/4 (/.f64 (pow.f64 z 2) x)) (*.f64 -1/2 x)) (pow.f64 (*.f64 -1/2 (*.f64 z (sqrt.f64 (/.f64 1 x)))) 2)) (pow.f64 y 2)) x)) |
(fma.f64 -1 (*.f64 z y) (fma.f64 (-.f64 (fma.f64 1/4 (/.f64 (*.f64 z z) x) (*.f64 x -1/2)) (pow.f64 (*.f64 -1/2 (*.f64 z (sqrt.f64 (/.f64 1 x)))) 2)) (*.f64 y y) x)) |
(-.f64 (fma.f64 (-.f64 (fma.f64 1/4 (/.f64 z (/.f64 x z)) (*.f64 x -1/2)) (pow.f64 (*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 z -1/2)) 2)) (*.f64 y y) x) (*.f64 z y)) |
(fma.f64 y (*.f64 y (fma.f64 x -1/2 (*.f64 1/4 (-.f64 (/.f64 z (/.f64 x z)) (*.f64 (*.f64 z z) (/.f64 1 x)))))) (fma.f64 y (neg.f64 z) x)) |
(+.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 (-.f64 (*.f64 -1/2 x) (pow.f64 (*.f64 -1/2 (*.f64 z (sqrt.f64 (/.f64 1 x)))) 2)) z) x)))) (*.f64 -1/2 (/.f64 (*.f64 (-.f64 (*.f64 -1/2 x) (pow.f64 (*.f64 -1/2 (*.f64 z (sqrt.f64 (/.f64 1 x)))) 2)) z) x)))) (+.f64 (*.f64 (-.f64 (+.f64 (*.f64 1/4 (/.f64 (pow.f64 z 2) x)) (*.f64 -1/2 x)) (pow.f64 (*.f64 -1/2 (*.f64 z (sqrt.f64 (/.f64 1 x)))) 2)) (pow.f64 y 2)) x))) |
(fma.f64 -1 (*.f64 z y) (fma.f64 (pow.f64 y 3) (fma.f64 -1 (fma.f64 -1/6 z (*.f64 -1/2 (/.f64 (-.f64 (*.f64 x -1/2) (pow.f64 (*.f64 -1/2 (*.f64 z (sqrt.f64 (/.f64 1 x)))) 2)) (/.f64 x z)))) (*.f64 -1/2 (/.f64 (-.f64 (*.f64 x -1/2) (pow.f64 (*.f64 -1/2 (*.f64 z (sqrt.f64 (/.f64 1 x)))) 2)) (/.f64 x z)))) (fma.f64 (-.f64 (fma.f64 1/4 (/.f64 (*.f64 z z) x) (*.f64 x -1/2)) (pow.f64 (*.f64 -1/2 (*.f64 z (sqrt.f64 (/.f64 1 x)))) 2)) (*.f64 y y) x))) |
(-.f64 (fma.f64 (pow.f64 y 3) (-.f64 (*.f64 -1/2 (*.f64 (/.f64 (-.f64 (*.f64 x -1/2) (pow.f64 (*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 z -1/2)) 2)) x) z)) (fma.f64 -1/2 (*.f64 (/.f64 (-.f64 (*.f64 x -1/2) (pow.f64 (*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 z -1/2)) 2)) x) z) (*.f64 z -1/6))) (fma.f64 (-.f64 (fma.f64 1/4 (/.f64 z (/.f64 x z)) (*.f64 x -1/2)) (pow.f64 (*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 z -1/2)) 2)) (*.f64 y y) x)) (*.f64 z y)) |
(-.f64 (fma.f64 y (*.f64 y (fma.f64 x -1/2 (*.f64 1/4 (-.f64 (/.f64 z (/.f64 x z)) (*.f64 (*.f64 z z) (/.f64 1 x)))))) (fma.f64 (pow.f64 y 3) (fma.f64 z 1/6 (*.f64 (*.f64 z (/.f64 (fma.f64 x -1/2 (*.f64 -1/4 (*.f64 (*.f64 z z) (/.f64 1 x)))) x)) 0)) x)) (*.f64 z y)) |
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(fma.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x)) |
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(fma.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x)) |
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(fma.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x)) |
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(fma.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x)) |
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(fma.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x)) |
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(fma.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x)) |
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(fma.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x)) |
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(fma.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x)) |
(*.f64 (cos.f64 y) x) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x)) |
(fma.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x)) |
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(+.f64 (*.f64 -1 (*.f64 z (sin.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)) (*.f64 (cos.f64 y) x))) |
(fma.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x)) |
(-.f64 (*.f64 (cos.f64 y) 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) (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)))) (*.f64 1/8 (/.f64 (pow.f64 (sin.f64 y) 3) (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2))))) (pow.f64 z 3)) (+.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)) (*.f64 (cos.f64 y) x)))) |
(fma.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x)) |
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(*.f64 (sqrt.f64 -1) (sqrt.f64 (*.f64 z (sin.f64 y)))) |
(+.f64 (*.f64 1/2 (*.f64 (/.f64 (*.f64 (cos.f64 y) x) (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (*.f64 z (sin.f64 y)))))) (*.f64 (sqrt.f64 -1) (sqrt.f64 (*.f64 z (sin.f64 y))))) |
(fma.f64 1/2 (/.f64 (*.f64 (*.f64 (cos.f64 y) x) (sqrt.f64 (/.f64 1 (*.f64 z (sin.f64 y))))) (sqrt.f64 -1)) (*.f64 (sqrt.f64 -1) (sqrt.f64 (*.f64 z (sin.f64 y))))) |
(fma.f64 (sqrt.f64 -1) (sqrt.f64 (*.f64 z (sin.f64 y))) (*.f64 (*.f64 (/.f64 (cos.f64 y) (sqrt.f64 -1)) x) (*.f64 (sqrt.f64 (/.f64 1 (*.f64 z (sin.f64 y)))) 1/2))) |
(fma.f64 (sqrt.f64 -1) (sqrt.f64 (*.f64 z (sin.f64 y))) (*.f64 (sqrt.f64 (/.f64 (/.f64 1 z) (sin.f64 y))) (/.f64 (*.f64 x 1/2) (/.f64 (sqrt.f64 -1) (cos.f64 y))))) |
(+.f64 (*.f64 1/2 (*.f64 (/.f64 (*.f64 (cos.f64 y) x) (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (*.f64 z (sin.f64 y)))))) (+.f64 (*.f64 -1/8 (*.f64 (/.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)) (pow.f64 (sqrt.f64 -1) 3)) (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3)))))) (*.f64 (sqrt.f64 -1) (sqrt.f64 (*.f64 z (sin.f64 y)))))) |
(fma.f64 1/2 (/.f64 (*.f64 (*.f64 (cos.f64 y) x) (sqrt.f64 (/.f64 1 (*.f64 z (sin.f64 y))))) (sqrt.f64 -1)) (fma.f64 -1/8 (*.f64 (/.f64 (pow.f64 (cos.f64 y) 2) (/.f64 (pow.f64 (sqrt.f64 -1) 3) (*.f64 x x))) (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 z 3))))) (*.f64 (sqrt.f64 -1) (sqrt.f64 (*.f64 z (sin.f64 y)))))) |
(fma.f64 1/2 (*.f64 (*.f64 (/.f64 (cos.f64 y) (sqrt.f64 -1)) x) (sqrt.f64 (/.f64 1 (*.f64 z (sin.f64 y))))) (fma.f64 (sqrt.f64 -1) (sqrt.f64 (*.f64 z (sin.f64 y))) (*.f64 (*.f64 (/.f64 (pow.f64 (cos.f64 y) 2) (*.f64 -1 (sqrt.f64 -1))) (*.f64 x x)) (*.f64 (sqrt.f64 (/.f64 (/.f64 1 (pow.f64 z 3)) (pow.f64 (sin.f64 y) 3))) -1/8)))) |
(fma.f64 (sqrt.f64 -1) (sqrt.f64 (*.f64 z (sin.f64 y))) (fma.f64 (/.f64 (pow.f64 (cos.f64 y) 2) (/.f64 (neg.f64 (sqrt.f64 -1)) (*.f64 x x))) (*.f64 -1/8 (sqrt.f64 (/.f64 (/.f64 1 (pow.f64 z 3)) (pow.f64 (sin.f64 y) 3)))) (*.f64 (sqrt.f64 (/.f64 (/.f64 1 z) (sin.f64 y))) (/.f64 (*.f64 x 1/2) (/.f64 (sqrt.f64 -1) (cos.f64 y)))))) |
(+.f64 (*.f64 1/2 (*.f64 (/.f64 (*.f64 (cos.f64 y) x) (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (*.f64 z (sin.f64 y)))))) (+.f64 (*.f64 1/16 (*.f64 (/.f64 (*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3)) (pow.f64 (sqrt.f64 -1) 5)) (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 z 5) (pow.f64 (sin.f64 y) 5)))))) (+.f64 (*.f64 -1/8 (*.f64 (/.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)) (pow.f64 (sqrt.f64 -1) 3)) (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3)))))) (*.f64 (sqrt.f64 -1) (sqrt.f64 (*.f64 z (sin.f64 y))))))) |
(fma.f64 1/2 (/.f64 (*.f64 (*.f64 (cos.f64 y) x) (sqrt.f64 (/.f64 1 (*.f64 z (sin.f64 y))))) (sqrt.f64 -1)) (fma.f64 1/16 (*.f64 (/.f64 (pow.f64 (cos.f64 y) 3) (/.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 3))) (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 z 5) (pow.f64 (sin.f64 y) 5))))) (fma.f64 -1/8 (*.f64 (/.f64 (pow.f64 (cos.f64 y) 2) (/.f64 (pow.f64 (sqrt.f64 -1) 3) (*.f64 x x))) (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 z 3))))) (*.f64 (sqrt.f64 -1) (sqrt.f64 (*.f64 z (sin.f64 y))))))) |
(fma.f64 1/2 (*.f64 (*.f64 (/.f64 (cos.f64 y) (sqrt.f64 -1)) x) (sqrt.f64 (/.f64 1 (*.f64 z (sin.f64 y))))) (fma.f64 1/16 (*.f64 (*.f64 (/.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 (sqrt.f64 -1) 5)) (pow.f64 x 3)) (sqrt.f64 (/.f64 (/.f64 1 (pow.f64 z 5)) (pow.f64 (sin.f64 y) 5)))) (fma.f64 (sqrt.f64 -1) (sqrt.f64 (*.f64 z (sin.f64 y))) (*.f64 (*.f64 (/.f64 (pow.f64 (cos.f64 y) 2) (*.f64 -1 (sqrt.f64 -1))) (*.f64 x x)) (*.f64 (sqrt.f64 (/.f64 (/.f64 1 (pow.f64 z 3)) (pow.f64 (sin.f64 y) 3))) -1/8))))) |
(fma.f64 1/2 (*.f64 (*.f64 x (/.f64 (cos.f64 y) (sqrt.f64 -1))) (sqrt.f64 (/.f64 (/.f64 1 z) (sin.f64 y)))) (fma.f64 (/.f64 (pow.f64 (cos.f64 y) 2) (/.f64 (neg.f64 (sqrt.f64 -1)) (*.f64 x x))) (*.f64 -1/8 (sqrt.f64 (/.f64 (/.f64 1 (pow.f64 z 3)) (pow.f64 (sin.f64 y) 3)))) (fma.f64 (sqrt.f64 -1) (sqrt.f64 (*.f64 z (sin.f64 y))) (*.f64 (*.f64 (pow.f64 x 3) (/.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 (sqrt.f64 -1) 5))) (*.f64 1/16 (sqrt.f64 (/.f64 (/.f64 1 (pow.f64 z 5)) (pow.f64 (sin.f64 y) 5)))))))) |
(sqrt.f64 x) |
(+.f64 (sqrt.f64 x) (*.f64 -1/2 (*.f64 (*.f64 y z) (sqrt.f64 (/.f64 1 x))))) |
(+.f64 (sqrt.f64 x) (*.f64 -1/2 (*.f64 y (*.f64 z (sqrt.f64 (/.f64 1 x)))))) |
(fma.f64 -1/2 (*.f64 (*.f64 z y) (sqrt.f64 (/.f64 1 x))) (sqrt.f64 x)) |
(fma.f64 y (*.f64 z (*.f64 -1/2 (sqrt.f64 (/.f64 1 x)))) (sqrt.f64 x)) |
(+.f64 (*.f64 1/2 (*.f64 (*.f64 (-.f64 (*.f64 -1/2 x) (pow.f64 (*.f64 -1/2 (*.f64 z (sqrt.f64 (/.f64 1 x)))) 2)) (pow.f64 y 2)) (sqrt.f64 (/.f64 1 x)))) (+.f64 (sqrt.f64 x) (*.f64 -1/2 (*.f64 (*.f64 y z) (sqrt.f64 (/.f64 1 x)))))) |
(fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 (*.f64 y y) (-.f64 (*.f64 x -1/2) (pow.f64 (*.f64 -1/2 (*.f64 z (sqrt.f64 (/.f64 1 x)))) 2)))) (+.f64 (sqrt.f64 x) (*.f64 -1/2 (*.f64 y (*.f64 z (sqrt.f64 (/.f64 1 x))))))) |
(fma.f64 1/2 (*.f64 (-.f64 (*.f64 x -1/2) (pow.f64 (*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 z -1/2)) 2)) (*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 y y))) (fma.f64 -1/2 (*.f64 (*.f64 z y) (sqrt.f64 (/.f64 1 x))) (sqrt.f64 x))) |
(+.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 (/.f64 1 x)) (+.f64 (*.f64 (*.f64 y y) (*.f64 (fma.f64 x -1/2 (*.f64 -1/4 (*.f64 (*.f64 z z) (/.f64 1 x)))) 1/2)) (*.f64 y (*.f64 z -1/2))))) |
(+.f64 (*.f64 1/2 (*.f64 (*.f64 (-.f64 (*.f64 -1/2 x) (pow.f64 (*.f64 -1/2 (*.f64 z (sqrt.f64 (/.f64 1 x)))) 2)) (pow.f64 y 2)) (sqrt.f64 (/.f64 1 x)))) (+.f64 (sqrt.f64 x) (+.f64 (*.f64 -1/2 (*.f64 (*.f64 (pow.f64 y 3) (+.f64 (*.f64 -1/6 z) (*.f64 -1/2 (/.f64 (*.f64 (-.f64 (*.f64 -1/2 x) (pow.f64 (*.f64 -1/2 (*.f64 z (sqrt.f64 (/.f64 1 x)))) 2)) z) x)))) (sqrt.f64 (/.f64 1 x)))) (*.f64 -1/2 (*.f64 (*.f64 y z) (sqrt.f64 (/.f64 1 x))))))) |
(fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 (*.f64 y y) (-.f64 (*.f64 x -1/2) (pow.f64 (*.f64 -1/2 (*.f64 z (sqrt.f64 (/.f64 1 x)))) 2)))) (+.f64 (sqrt.f64 x) (*.f64 -1/2 (+.f64 (*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 (pow.f64 y 3) (fma.f64 -1/6 z (*.f64 -1/2 (/.f64 (-.f64 (*.f64 x -1/2) (pow.f64 (*.f64 -1/2 (*.f64 z (sqrt.f64 (/.f64 1 x)))) 2)) (/.f64 x z)))))) (*.f64 y (*.f64 z (sqrt.f64 (/.f64 1 x)))))))) |
(fma.f64 1/2 (*.f64 (-.f64 (*.f64 x -1/2) (pow.f64 (*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 z -1/2)) 2)) (*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 y y))) (fma.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 x)) (+.f64 (*.f64 (pow.f64 y 3) (fma.f64 -1/2 (*.f64 (/.f64 (-.f64 (*.f64 x -1/2) (pow.f64 (*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 z -1/2)) 2)) x) z) (*.f64 z -1/6))) (*.f64 z y))) (sqrt.f64 x))) |
(+.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 (/.f64 1 x)) (+.f64 (*.f64 (*.f64 y y) (*.f64 (fma.f64 x -1/2 (*.f64 -1/4 (*.f64 (*.f64 z z) (/.f64 1 x)))) 1/2)) (*.f64 -1/2 (fma.f64 (pow.f64 y 3) (fma.f64 -1/2 (*.f64 z (/.f64 (fma.f64 x -1/2 (*.f64 -1/4 (*.f64 (*.f64 z z) (/.f64 1 x)))) x)) (*.f64 z -1/6)) (*.f64 z 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 (*.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 (*.f64 z (sin.f64 y)) (sqrt.f64 (/.f64 1 (*.f64 (cos.f64 y) x)))))) |
(fma.f64 (*.f64 (*.f64 z -1/2) (sin.f64 y)) (sqrt.f64 (/.f64 (/.f64 1 x) (cos.f64 y))) (sqrt.f64 (*.f64 (cos.f64 y) x))) |
(fma.f64 z (*.f64 -1/2 (*.f64 (sin.f64 y) (sqrt.f64 (/.f64 (/.f64 1 x) (cos.f64 y))))) (sqrt.f64 (*.f64 (cos.f64 y) x))) |
(+.f64 (sqrt.f64 (*.f64 (cos.f64 y) x)) (+.f64 (*.f64 -1/8 (*.f64 (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)) (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3)))))) (*.f64 -1/2 (*.f64 (*.f64 z (sin.f64 y)) (sqrt.f64 (/.f64 1 (*.f64 (cos.f64 y) x))))))) |
(+.f64 (sqrt.f64 (*.f64 (cos.f64 y) x)) (fma.f64 -1/8 (*.f64 (*.f64 (*.f64 z z) (pow.f64 (sin.f64 y) 2)) (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3))))) (*.f64 -1/2 (*.f64 (*.f64 z (sin.f64 y)) (sqrt.f64 (/.f64 1 (*.f64 (cos.f64 y) x))))))) |
(+.f64 (*.f64 (*.f64 -1/8 (*.f64 z z)) (*.f64 (pow.f64 (sin.f64 y) 2) (sqrt.f64 (/.f64 (/.f64 1 (pow.f64 x 3)) (pow.f64 (cos.f64 y) 3))))) (fma.f64 (*.f64 (*.f64 z -1/2) (sin.f64 y)) (sqrt.f64 (/.f64 (/.f64 1 x) (cos.f64 y))) (sqrt.f64 (*.f64 (cos.f64 y) x)))) |
(fma.f64 z (*.f64 -1/2 (*.f64 (sin.f64 y) (sqrt.f64 (/.f64 (/.f64 1 x) (cos.f64 y))))) (fma.f64 (sqrt.f64 (/.f64 (/.f64 1 (pow.f64 x 3)) (pow.f64 (cos.f64 y) 3))) (*.f64 (pow.f64 (sin.f64 y) 2) (*.f64 (*.f64 z z) -1/8)) (sqrt.f64 (*.f64 (cos.f64 y) x)))) |
(+.f64 (sqrt.f64 (*.f64 (cos.f64 y) x)) (+.f64 (*.f64 -1/8 (*.f64 (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)) (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3)))))) (+.f64 (*.f64 -1/2 (*.f64 (*.f64 z (sin.f64 y)) (sqrt.f64 (/.f64 1 (*.f64 (cos.f64 y) x))))) (*.f64 -1/16 (*.f64 (*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3)) (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 (cos.f64 y) 5) (pow.f64 x 5))))))))) |
(+.f64 (sqrt.f64 (*.f64 (cos.f64 y) x)) (fma.f64 -1/8 (*.f64 (*.f64 (*.f64 z z) (pow.f64 (sin.f64 y) 2)) (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3))))) (fma.f64 -1/2 (*.f64 (*.f64 z (sin.f64 y)) (sqrt.f64 (/.f64 1 (*.f64 (cos.f64 y) x)))) (*.f64 -1/16 (*.f64 (*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 z 3)) (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 (cos.f64 y) 5) (pow.f64 x 5))))))))) |
(+.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 (/.f64 1 (pow.f64 x 3)) (pow.f64 (cos.f64 y) 3))))) (fma.f64 -1/2 (*.f64 z (*.f64 (sin.f64 y) (sqrt.f64 (/.f64 (/.f64 1 x) (cos.f64 y))))) (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 (cos.f64 y) 5) (pow.f64 x 5)))) (*.f64 (*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 z 3)) -1/16))))) |
(+.f64 (sqrt.f64 (*.f64 (cos.f64 y) x)) (fma.f64 (pow.f64 z 3) (*.f64 -1/16 (*.f64 (pow.f64 (sin.f64 y) 3) (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 (cos.f64 y) 5) (pow.f64 x 5)))))) (fma.f64 z (*.f64 -1/2 (*.f64 (sin.f64 y) (sqrt.f64 (/.f64 (/.f64 1 x) (cos.f64 y))))) (*.f64 (sqrt.f64 (/.f64 (/.f64 1 (pow.f64 x 3)) (pow.f64 (cos.f64 y) 3))) (*.f64 (pow.f64 (sin.f64 y) 2) (*.f64 (*.f64 z z) -1/8)))))) |
Found 8 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.5b | (pow.f64 (cbrt.f64 x) 2) | |
| 0.2b | (*.f64 (cbrt.f64 x) (cos.f64 y)) | |
| 0.2b | (fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (cos.f64 y)) (*.f64 (sin.f64 y) (neg.f64 z))) | |
| 0.1b | (*.f64 (sin.f64 y) (neg.f64 z)) | |
| ✓ | 0.2b | (fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (cos.f64 y)) (*.f64 (sin.f64 y) (neg.f64 z))) |
| ✓ | 0.2b | (*.f64 (cbrt.f64 x) (cos.f64 y)) |
| ✓ | 0.5b | (pow.f64 (cbrt.f64 x) 2) |
| ✓ | 0.6b | (cbrt.f64 x) |
Compiled 44 to 15 computations (65.9% saved)
21 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | x | @ | 0 | (fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (cos.f64 y)) (*.f64 (sin.f64 y) (neg.f64 z))) |
| 2.0ms | y | @ | inf | (fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (cos.f64 y)) (*.f64 (sin.f64 y) (neg.f64 z))) |
| 2.0ms | y | @ | inf | (*.f64 (cbrt.f64 x) (cos.f64 y)) |
| 2.0ms | z | @ | 0 | (fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (cos.f64 y)) (*.f64 (sin.f64 y) (neg.f64 z))) |
| 1.0ms | x | @ | -inf | (pow.f64 (cbrt.f64 x) 2) |
| 1× | batch-egg-rewrite |
| 552× | log-prod_binary64 |
| 357× | pow-prod-down_binary64 |
| 294× | pow2_binary64 |
| 267× | prod-diff_binary64 |
| 218× | pow-unpow_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 41 |
| 1 | 263 | 31 |
| 2 | 3096 | 29 |
| 1× | node limit |
| Inputs |
|---|
(cbrt.f64 x) |
(pow.f64 (cbrt.f64 x) 2) |
(*.f64 (cbrt.f64 x) (cos.f64 y)) |
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (cos.f64 y)) (*.f64 (sin.f64 y) (neg.f64 z))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cbrt.f64 x))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 x)))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) (cbrt.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x 1/6) (pow.f64 x 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 4)) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 x 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 x) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x x) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x 3) 1/9)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 x) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 x) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2/3 (log.f64 x)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (cbrt.f64 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/6 (log.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 x) 1) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 x) 1/3) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (cbrt.f64 x)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (*.f64 2/3 (log.f64 x)) 1) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 x))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (cbrt.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (cbrt.f64 x) 2))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (cbrt.f64 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (cbrt.f64 x) 2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (cbrt.f64 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 x) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 x) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (cbrt.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 4) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (pow.f64 x 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x 1/6) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 5) (cbrt.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 x (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (cbrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cbrt.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2/3 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2/3 (log.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 x) 2/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 x)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/3 (*.f64 2/3 (log.f64 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 x) 1) 2/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 x) 1/3) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (cbrt.f64 x)) 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (*.f64 2/3 (log.f64 x)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 x) 2))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (cbrt.f64 x) (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (cbrt.f64 x)) (cos.f64 y))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (cbrt.f64 x)) (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (cbrt.f64 x)) (cos.f64 y)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (cbrt.f64 x)) (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (cbrt.f64 x) (cos.f64 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (cbrt.f64 x) (cos.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (cbrt.f64 x) (cos.f64 y)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (pow.f64 (cos.f64 y) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (cbrt.f64 x) (cos.f64 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (cbrt.f64 x) (cos.f64 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (cbrt.f64 x) (cos.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (cbrt.f64 x)) (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (cbrt.f64 x) (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 x (pow.f64 (cos.f64 y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (cbrt.f64 x) (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (cbrt.f64 x) (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (cbrt.f64 x) (cos.f64 y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (pow.f64 (cos.f64 y) 3))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (cbrt.f64 x) (cos.f64 y)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (cbrt.f64 x) (cos.f64 y)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (cbrt.f64 x) (cos.f64 y))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (cbrt.f64 x) (cos.f64 y)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 y) z) (*.f64 x (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) (fma.f64 z (sin.f64 y) (*.f64 (sin.f64 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) (fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 (sin.f64 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) (fma.f64 -1 (*.f64 (sin.f64 y) z) (*.f64 (sin.f64 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) (fma.f64 (*.f64 (sin.f64 y) z) 1 (*.f64 (sin.f64 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) z)) 2)) (cbrt.f64 (*.f64 (sin.f64 y) z)) (*.f64 (sin.f64 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 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(fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 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(fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))))))))) |
| 1× | egg-herbie |
| 875× | fma-neg_binary64 |
| 571× | distribute-rgt-neg-in_binary64 |
| 353× | distribute-lft-neg-in_binary64 |
| 349× | *-commutative_binary64 |
| 301× | cancel-sign-sub-inv_binary64 |
Useful iterations: 5 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 56 | 572 |
| 1 | 157 | 489 |
| 2 | 427 | 479 |
| 3 | 1530 | 473 |
| 4 | 3282 | 471 |
| 5 | 4741 | 467 |
| 6 | 6854 | 467 |
| 1× | node limit |
| Inputs |
|---|
(pow.f64 x 1/3) |
(+.f64 (pow.f64 x 1/3) (*.f64 -1/2 (*.f64 (pow.f64 (*.f64 1 x) 1/3) (pow.f64 y 2)))) |
(+.f64 (pow.f64 x 1/3) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 (*.f64 1 x) 1/3) (pow.f64 y 2))) (*.f64 1/24 (*.f64 (pow.f64 (*.f64 1 x) 1/3) (pow.f64 y 4))))) |
(+.f64 (pow.f64 x 1/3) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 (*.f64 1 x) 1/3) (pow.f64 y 2))) (+.f64 (*.f64 -1/720 (*.f64 (pow.f64 (*.f64 1 x) 1/3) (pow.f64 y 6))) (*.f64 1/24 (*.f64 (pow.f64 (*.f64 1 x) 1/3) (pow.f64 y 4)))))) |
(*.f64 (pow.f64 (*.f64 1 x) 1/3) (cos.f64 y)) |
(*.f64 (pow.f64 (*.f64 1 x) 1/3) (cos.f64 y)) |
(*.f64 (pow.f64 (*.f64 1 x) 1/3) (cos.f64 y)) |
(*.f64 (pow.f64 (*.f64 1 x) 1/3) (cos.f64 y)) |
(*.f64 (pow.f64 (*.f64 1 x) 1/3) (cos.f64 y)) |
(*.f64 (pow.f64 (*.f64 1 x) 1/3) (cos.f64 y)) |
(*.f64 (pow.f64 (*.f64 1 x) 1/3) (cos.f64 y)) |
(*.f64 (pow.f64 (*.f64 1 x) 1/3) (cos.f64 y)) |
(*.f64 -1 (*.f64 z (sin.f64 y))) |
(*.f64 -1 (*.f64 z (sin.f64 y))) |
(*.f64 -1 (*.f64 z (sin.f64 y))) |
(*.f64 (pow.f64 1 1/3) x) |
(+.f64 (*.f64 (pow.f64 1 1/3) x) (*.f64 -1 (*.f64 y z))) |
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 1 1/3) (*.f64 (pow.f64 y 2) x))) (+.f64 (*.f64 (pow.f64 1 1/3) x) (*.f64 -1 (*.f64 y z)))) |
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 1 1/3) (*.f64 (pow.f64 y 2) x))) (+.f64 (*.f64 (pow.f64 1 1/3) x) (+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 1/6 (*.f64 (pow.f64 y 3) z))))) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (pow.f64 1 1/3) (*.f64 (cos.f64 y) x))) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (pow.f64 1 1/3) (*.f64 (cos.f64 y) x))) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (pow.f64 1 1/3) (*.f64 (cos.f64 y) x))) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (pow.f64 1 1/3) (*.f64 (cos.f64 y) x))) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (pow.f64 1 1/3) (*.f64 (cos.f64 y) x))) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (pow.f64 1 1/3) (*.f64 (cos.f64 y) x))) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (pow.f64 1 1/3) (*.f64 (cos.f64 y) x))) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (pow.f64 1 1/3) (*.f64 (cos.f64 y) x))) |
(*.f64 (pow.f64 1 1/3) (*.f64 (cos.f64 y) x)) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (pow.f64 1 1/3) (*.f64 (cos.f64 y) x))) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (pow.f64 1 1/3) (*.f64 (cos.f64 y) x))) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (pow.f64 1 1/3) (*.f64 (cos.f64 y) x))) |
(*.f64 -1 (*.f64 z (sin.f64 y))) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (pow.f64 1 1/3) (*.f64 (cos.f64 y) x))) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (pow.f64 1 1/3) (*.f64 (cos.f64 y) x))) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (pow.f64 1 1/3) (*.f64 (cos.f64 y) x))) |
(*.f64 -1 (*.f64 z (sin.f64 y))) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (pow.f64 1 1/3) (*.f64 (cos.f64 y) x))) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (pow.f64 1 1/3) (*.f64 (cos.f64 y) x))) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (pow.f64 1 1/3) (*.f64 (cos.f64 y) x))) |
| Outputs |
|---|
(pow.f64 x 1/3) |
(cbrt.f64 x) |
(+.f64 (pow.f64 x 1/3) (*.f64 -1/2 (*.f64 (pow.f64 (*.f64 1 x) 1/3) (pow.f64 y 2)))) |
(+.f64 (cbrt.f64 x) (*.f64 -1/2 (*.f64 (cbrt.f64 x) (*.f64 y y)))) |
(fma.f64 (*.f64 -1/2 (cbrt.f64 x)) (*.f64 y y) (cbrt.f64 x)) |
(*.f64 (+.f64 (*.f64 -1/2 (*.f64 y y)) 1) (cbrt.f64 x)) |
(fma.f64 -1/2 (*.f64 (cbrt.f64 x) (*.f64 y y)) (cbrt.f64 x)) |
(+.f64 (pow.f64 x 1/3) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 (*.f64 1 x) 1/3) (pow.f64 y 2))) (*.f64 1/24 (*.f64 (pow.f64 (*.f64 1 x) 1/3) (pow.f64 y 4))))) |
(+.f64 (cbrt.f64 x) (fma.f64 -1/2 (*.f64 (cbrt.f64 x) (*.f64 y y)) (*.f64 1/24 (*.f64 (cbrt.f64 x) (pow.f64 y 4))))) |
(+.f64 (cbrt.f64 x) (fma.f64 -1/2 (*.f64 (cbrt.f64 x) (*.f64 y y)) (*.f64 (*.f64 1/24 (pow.f64 y 4)) (cbrt.f64 x)))) |
(+.f64 (cbrt.f64 x) (*.f64 (cbrt.f64 x) (+.f64 (*.f64 1/24 (pow.f64 y 4)) (*.f64 -1/2 (*.f64 y y))))) |
(*.f64 (cbrt.f64 x) (+.f64 (*.f64 -1/2 (*.f64 y y)) (+.f64 1 (*.f64 1/24 (pow.f64 y 4))))) |
(*.f64 (cbrt.f64 x) (+.f64 1 (*.f64 (*.f64 y y) (+.f64 -1/2 (*.f64 (*.f64 y y) 1/24))))) |
(+.f64 (pow.f64 x 1/3) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 (*.f64 1 x) 1/3) (pow.f64 y 2))) (+.f64 (*.f64 -1/720 (*.f64 (pow.f64 (*.f64 1 x) 1/3) (pow.f64 y 6))) (*.f64 1/24 (*.f64 (pow.f64 (*.f64 1 x) 1/3) (pow.f64 y 4)))))) |
(+.f64 (cbrt.f64 x) (fma.f64 -1/2 (*.f64 (cbrt.f64 x) (*.f64 y y)) (fma.f64 -1/720 (*.f64 (cbrt.f64 x) (pow.f64 y 6)) (*.f64 1/24 (*.f64 (cbrt.f64 x) (pow.f64 y 4)))))) |
(+.f64 (fma.f64 1/24 (*.f64 (cbrt.f64 x) (pow.f64 y 4)) (*.f64 (pow.f64 y 6) (*.f64 (cbrt.f64 x) -1/720))) (fma.f64 (*.f64 -1/2 (cbrt.f64 x)) (*.f64 y y) (cbrt.f64 x))) |
(+.f64 (cbrt.f64 x) (fma.f64 (cbrt.f64 x) (*.f64 -1/720 (pow.f64 y 6)) (*.f64 (cbrt.f64 x) (+.f64 (*.f64 1/24 (pow.f64 y 4)) (*.f64 -1/2 (*.f64 y y)))))) |
(+.f64 (cbrt.f64 x) (*.f64 (cbrt.f64 x) (+.f64 (*.f64 -1/2 (*.f64 y y)) (+.f64 (*.f64 -1/720 (pow.f64 y 6)) (*.f64 1/24 (pow.f64 y 4)))))) |
(*.f64 (cbrt.f64 x) (+.f64 (+.f64 1 (*.f64 -1/720 (pow.f64 y 6))) (*.f64 (*.f64 y y) (+.f64 -1/2 (*.f64 (*.f64 y y) 1/24))))) |
(*.f64 (cbrt.f64 x) (+.f64 1 (+.f64 (*.f64 -1/720 (pow.f64 y 6)) (*.f64 (*.f64 y y) (+.f64 -1/2 (*.f64 (*.f64 y y) 1/24)))))) |
(*.f64 (pow.f64 (*.f64 1 x) 1/3) (cos.f64 y)) |
(*.f64 (cbrt.f64 x) (cos.f64 y)) |
(*.f64 (pow.f64 (*.f64 1 x) 1/3) (cos.f64 y)) |
(*.f64 (cbrt.f64 x) (cos.f64 y)) |
(*.f64 (pow.f64 (*.f64 1 x) 1/3) (cos.f64 y)) |
(*.f64 (cbrt.f64 x) (cos.f64 y)) |
(*.f64 (pow.f64 (*.f64 1 x) 1/3) (cos.f64 y)) |
(*.f64 (cbrt.f64 x) (cos.f64 y)) |
(*.f64 (pow.f64 (*.f64 1 x) 1/3) (cos.f64 y)) |
(*.f64 (cbrt.f64 x) (cos.f64 y)) |
(*.f64 (pow.f64 (*.f64 1 x) 1/3) (cos.f64 y)) |
(*.f64 (cbrt.f64 x) (cos.f64 y)) |
(*.f64 (pow.f64 (*.f64 1 x) 1/3) (cos.f64 y)) |
(*.f64 (cbrt.f64 x) (cos.f64 y)) |
(*.f64 (pow.f64 (*.f64 1 x) 1/3) (cos.f64 y)) |
(*.f64 (cbrt.f64 x) (cos.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 (pow.f64 1 1/3) x) |
x |
(+.f64 (*.f64 (pow.f64 1 1/3) x) (*.f64 -1 (*.f64 y z))) |
(+.f64 x (neg.f64 (*.f64 y z))) |
(-.f64 x (*.f64 y z)) |
(fma.f64 z (neg.f64 y) x) |
(fma.f64 y (neg.f64 z) x) |
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 1 1/3) (*.f64 (pow.f64 y 2) x))) (+.f64 (*.f64 (pow.f64 1 1/3) x) (*.f64 -1 (*.f64 y z)))) |
(+.f64 (+.f64 x (neg.f64 (*.f64 y z))) (*.f64 -1/2 (*.f64 x (*.f64 y y)))) |
(-.f64 (fma.f64 -1/2 (*.f64 x (*.f64 y y)) x) (*.f64 y z)) |
(fma.f64 -1/2 (*.f64 x (*.f64 y y)) (fma.f64 z (neg.f64 y) x)) |
(-.f64 x (*.f64 y (-.f64 z (*.f64 -1/2 (*.f64 x y))))) |
(+.f64 x (*.f64 y (fma.f64 y (*.f64 x -1/2) (neg.f64 z)))) |
(fma.f64 y (-.f64 (*.f64 -1/2 (*.f64 x y)) z) x) |
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 1 1/3) (*.f64 (pow.f64 y 2) x))) (+.f64 (*.f64 (pow.f64 1 1/3) x) (+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 1/6 (*.f64 (pow.f64 y 3) z))))) |
(+.f64 (*.f64 -1/2 (*.f64 x (*.f64 y y))) (+.f64 x (fma.f64 -1 (*.f64 y z) (*.f64 1/6 (*.f64 z (pow.f64 y 3)))))) |
(+.f64 (*.f64 z (+.f64 (neg.f64 y) (*.f64 1/6 (pow.f64 y 3)))) (fma.f64 -1/2 (*.f64 x (*.f64 y y)) x)) |
(fma.f64 -1/2 (*.f64 x (*.f64 y y)) (fma.f64 z (fma.f64 1/6 (pow.f64 y 3) (neg.f64 y)) x)) |
(fma.f64 (*.f64 y y) (*.f64 x -1/2) (fma.f64 z (-.f64 (*.f64 1/6 (pow.f64 y 3)) y) x)) |
(fma.f64 -1/2 (*.f64 x (*.f64 y y)) (fma.f64 z (-.f64 (*.f64 1/6 (pow.f64 y 3)) y) x)) |
(fma.f64 y (fma.f64 -1/2 (*.f64 x y) (*.f64 z (fma.f64 y (*.f64 y 1/6) -1))) x) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (pow.f64 1 1/3) (*.f64 (cos.f64 y) x))) |
(fma.f64 -1 (*.f64 z (sin.f64 y)) (*.f64 1 (*.f64 x (cos.f64 y)))) |
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (pow.f64 1 1/3) (*.f64 (cos.f64 y) x))) |
(fma.f64 -1 (*.f64 z (sin.f64 y)) (*.f64 1 (*.f64 x (cos.f64 y)))) |
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (pow.f64 1 1/3) (*.f64 (cos.f64 y) x))) |
(fma.f64 -1 (*.f64 z (sin.f64 y)) (*.f64 1 (*.f64 x (cos.f64 y)))) |
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (pow.f64 1 1/3) (*.f64 (cos.f64 y) x))) |
(fma.f64 -1 (*.f64 z (sin.f64 y)) (*.f64 1 (*.f64 x (cos.f64 y)))) |
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (pow.f64 1 1/3) (*.f64 (cos.f64 y) x))) |
(fma.f64 -1 (*.f64 z (sin.f64 y)) (*.f64 1 (*.f64 x (cos.f64 y)))) |
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (pow.f64 1 1/3) (*.f64 (cos.f64 y) x))) |
(fma.f64 -1 (*.f64 z (sin.f64 y)) (*.f64 1 (*.f64 x (cos.f64 y)))) |
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (pow.f64 1 1/3) (*.f64 (cos.f64 y) x))) |
(fma.f64 -1 (*.f64 z (sin.f64 y)) (*.f64 1 (*.f64 x (cos.f64 y)))) |
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (pow.f64 1 1/3) (*.f64 (cos.f64 y) x))) |
(fma.f64 -1 (*.f64 z (sin.f64 y)) (*.f64 1 (*.f64 x (cos.f64 y)))) |
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(*.f64 (pow.f64 1 1/3) (*.f64 (cos.f64 y) x)) |
(*.f64 1 (*.f64 x (cos.f64 y))) |
(*.f64 x (cos.f64 y)) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (pow.f64 1 1/3) (*.f64 (cos.f64 y) x))) |
(fma.f64 -1 (*.f64 z (sin.f64 y)) (*.f64 1 (*.f64 x (cos.f64 y)))) |
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (pow.f64 1 1/3) (*.f64 (cos.f64 y) x))) |
(fma.f64 -1 (*.f64 z (sin.f64 y)) (*.f64 1 (*.f64 x (cos.f64 y)))) |
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (pow.f64 1 1/3) (*.f64 (cos.f64 y) x))) |
(fma.f64 -1 (*.f64 z (sin.f64 y)) (*.f64 1 (*.f64 x (cos.f64 y)))) |
(-.f64 (*.f64 x (cos.f64 y)) (*.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 z (neg.f64 (sin.f64 y))) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (pow.f64 1 1/3) (*.f64 (cos.f64 y) x))) |
(fma.f64 -1 (*.f64 z (sin.f64 y)) (*.f64 1 (*.f64 x (cos.f64 y)))) |
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (pow.f64 1 1/3) (*.f64 (cos.f64 y) x))) |
(fma.f64 -1 (*.f64 z (sin.f64 y)) (*.f64 1 (*.f64 x (cos.f64 y)))) |
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (pow.f64 1 1/3) (*.f64 (cos.f64 y) x))) |
(fma.f64 -1 (*.f64 z (sin.f64 y)) (*.f64 1 (*.f64 x (cos.f64 y)))) |
(-.f64 (*.f64 x (cos.f64 y)) (*.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 z (neg.f64 (sin.f64 y))) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (pow.f64 1 1/3) (*.f64 (cos.f64 y) x))) |
(fma.f64 -1 (*.f64 z (sin.f64 y)) (*.f64 1 (*.f64 x (cos.f64 y)))) |
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (pow.f64 1 1/3) (*.f64 (cos.f64 y) x))) |
(fma.f64 -1 (*.f64 z (sin.f64 y)) (*.f64 1 (*.f64 x (cos.f64 y)))) |
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (pow.f64 1 1/3) (*.f64 (cos.f64 y) x))) |
(fma.f64 -1 (*.f64 z (sin.f64 y)) (*.f64 1 (*.f64 x (cos.f64 y)))) |
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
Compiled 20425 to 5983 computations (70.7% saved)
26 alts after pruning (25 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 860 | 24 | 884 |
| Fresh | 10 | 1 | 11 |
| Picked | 1 | 0 | 1 |
| Done | 4 | 1 | 5 |
| Total | 875 | 26 | 901 |
| Status | Error | Program |
|---|---|---|
| ▶ | 35.2b | (pow.f64 (sqrt.f64 (-.f64 (pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) 3) (*.f64 z (sin.f64 y)))) 2) |
| 30.7b | (-.f64 x (*.f64 y z)) | |
| 30.7b | (fma.f64 (neg.f64 y) z x) | |
| ▶ | 0.4b | (fma.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (*.f64 (cbrt.f64 (cos.f64 y)) x) (*.f64 (sin.f64 y) (neg.f64 z))) |
| ▶ | 37.3b | (exp.f64 (log.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))) |
| 34.9b | (*.f64 (pow.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) 1/4) (pow.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) 3/4)) | |
| 33.2b | (fma.f64 (*.f64 (cos.f64 y) (sqrt.f64 x)) (sqrt.f64 x) (*.f64 (sin.f64 y) (neg.f64 z))) | |
| 39.1b | (*.f64 (+.f64 (*.f64 y z) x) 1) | |
| 41.4b | (pow.f64 (sqrt.f64 (-.f64 x (*.f64 z (sin.f64 y)))) 2) | |
| 35.1b | (pow.f64 (pow.f64 (pow.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) 1/4) 2) 2) | |
| 34.2b | (/.f64 1 (/.f64 (+.f64 x (*.f64 z (sin.f64 y))) (-.f64 (*.f64 x x) (pow.f64 (*.f64 z (sin.f64 y)) 2)))) | |
| 46.0b | (-.f64 (+.f64 1 (+.f64 (*.f64 y z) x)) 1) | |
| ▶ | 54.2b | (*.f64 y (neg.f64 z)) |
| 0.6b | (+.f64 (*.f64 x (cos.f64 y)) (fma.f64 z (neg.f64 (sin.f64 y)) (fma.f64 z (neg.f64 (sin.f64 y)) (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 3)))) | |
| 32.0b | (+.f64 x (*.f64 y (-.f64 (*.f64 x (*.f64 y -1/2)) z))) | |
| 1.4b | (fma.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 3) 2) (*.f64 (cbrt.f64 x) (cos.f64 y)) (*.f64 (sin.f64 y) (neg.f64 z))) | |
| 27.2b | (+.f64 (*.f64 x (cos.f64 y)) (fma.f64 z (neg.f64 (sin.f64 y)) (fma.f64 z (neg.f64 (sin.f64 y)) (pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 2)))) | |
| ✓ | 0.1b | (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 24.8b | (*.f64 x (cos.f64 y)) | |
| 14.4b | (fma.f64 (sqrt.f64 (cos.f64 y)) (*.f64 (sqrt.f64 (cos.f64 y)) x) (*.f64 (sin.f64 y) (neg.f64 z))) | |
| ▶ | 37.7b | (*.f64 z (neg.f64 (sin.f64 y))) |
| 45.6b | (pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) x)) 2) | |
| 37.8b | x | |
| 13.5b | (+.f64 x (fma.f64 z (neg.f64 (sin.f64 y)) (fma.f64 z (neg.f64 (sin.f64 y)) (*.f64 z (sin.f64 y))))) | |
| 13.9b | (-.f64 x (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 3)) | |
| 43.5b | (pow.f64 (cbrt.f64 (pow.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) 3/2)) 2) |
Compiled 746 to 487 computations (34.7% saved)
Found 8 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.2b | (pow.f64 (cbrt.f64 (cos.f64 y)) 2) | |
| 0.1b | (*.f64 (cbrt.f64 (cos.f64 y)) x) | |
| 0.1b | (*.f64 (sin.f64 y) (neg.f64 z)) | |
| 0.1b | (fma.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (*.f64 (cbrt.f64 (cos.f64 y)) x) (*.f64 (sin.f64 y) (neg.f64 z))) | |
| ✓ | 0.1b | (*.f64 (sin.f64 y) (neg.f64 z)) |
| ✓ | 0.1b | (*.f64 (cbrt.f64 (cos.f64 y)) x) |
| ✓ | 0.2b | (pow.f64 (cbrt.f64 (cos.f64 y)) 2) |
| ✓ | 0.4b | (cbrt.f64 (cos.f64 y)) |
Compiled 47 to 15 computations (68.1% saved)
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | y | @ | inf | (cbrt.f64 (cos.f64 y)) |
| 2.0ms | x | @ | 0 | (*.f64 (cbrt.f64 (cos.f64 y)) x) |
| 2.0ms | y | @ | inf | (*.f64 (cbrt.f64 (cos.f64 y)) x) |
| 2.0ms | y | @ | -inf | (*.f64 (cbrt.f64 (cos.f64 y)) x) |
| 1.0ms | y | @ | -inf | (cbrt.f64 (cos.f64 y)) |
| 1× | batch-egg-rewrite |
| 970× | pow1_binary64 |
| 890× | add-log-exp_binary64 |
| 889× | log1p-expm1-u_binary64 |
| 889× | expm1-log1p-u_binary64 |
| 119× | add-sqr-sqrt_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 29 |
| 1 | 242 | 27 |
| 2 | 2817 | 27 |
| 1× | node limit |
| Inputs |
|---|
(cbrt.f64 (cos.f64 y)) |
(pow.f64 (cbrt.f64 (cos.f64 y)) 2) |
(*.f64 (cbrt.f64 (cos.f64 y)) x) |
(*.f64 (sin.f64 y) (neg.f64 z)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (cos.f64 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cos.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 2) (cbrt.f64 (cbrt.f64 (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cos.f64 y) 1/6) (pow.f64 (cos.f64 y) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 4))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (cos.f64 y)) 1/3) (pow.f64 (sqrt.f64 (cos.f64 y)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cos.f64 y) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cos.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cos.f64 y) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (cbrt.f64 (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (cos.f64 y)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (cbrt.f64 (cos.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) (cbrt.f64 (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 4)) (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cos.f64 y)) (pow.f64 (cos.f64 y) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cos.f64 y) 1/6) (*.f64 (pow.f64 (cos.f64 y) 1/6) (cbrt.f64 (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (cos.f64 y)) (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 2)) (cbrt.f64 (cbrt.f64 (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (cos.f64 y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (cbrt.f64 (cos.f64 y)) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (cbrt.f64 (cos.f64 y)) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (cbrt.f64 (cos.f64 y)) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (cbrt.f64 (cos.f64 y)) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (cbrt.f64 (cos.f64 y)) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (cbrt.f64 (cos.f64 y)) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (cbrt.f64 (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (cbrt.f64 (cos.f64 y)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (cbrt.f64 (cos.f64 y)) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (cos.f64 y) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3) (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (cbrt.f64 (cos.f64 y)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (cbrt.f64 (cos.f64 y)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (cbrt.f64 (cos.f64 y)) x))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 (sin.f64 y) z))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.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 z) (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.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 cbrt.f64 (*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 z 3)))))) (#(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)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sin.f64 y) z))))))) |
| 1× | egg-herbie |
| 913× | fma-neg_binary64 |
| 604× | distribute-rgt-neg-in_binary64 |
| 500× | distribute-lft-neg-in_binary64 |
| 395× | unswap-sqr_binary64 |
| 376× | distribute-lft-out_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 77 | 679 |
| 1 | 202 | 665 |
| 2 | 540 | 642 |
| 3 | 1778 | 639 |
| 4 | 3251 | 637 |
| 5 | 5892 | 637 |
| 1× | node limit |
| Inputs |
|---|
1 |
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2))) |
(+.f64 (*.f64 -1/72 (pow.f64 y 4)) (+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))) |
(+.f64 (*.f64 -23/6480 (pow.f64 y 6)) (+.f64 (*.f64 -1/72 (pow.f64 y 4)) (+.f64 1 (*.f64 -1/6 (pow.f64 y 2))))) |
(pow.f64 (cos.f64 y) 1/3) |
(pow.f64 (cos.f64 y) 1/3) |
(pow.f64 (cos.f64 y) 1/3) |
(pow.f64 (cos.f64 y) 1/3) |
(pow.f64 (cos.f64 y) 1/3) |
(pow.f64 (cos.f64 y) 1/3) |
(pow.f64 (cos.f64 y) 1/3) |
(pow.f64 (cos.f64 y) 1/3) |
1 |
(+.f64 1 (*.f64 -1/3 (pow.f64 y 2))) |
(+.f64 1 (+.f64 (*.f64 -1/3 (pow.f64 y 2)) (*.f64 -1/405 (pow.f64 y 6)))) |
(+.f64 1 (+.f64 (*.f64 -1/1701 (pow.f64 y 8)) (+.f64 (*.f64 -1/3 (pow.f64 y 2)) (*.f64 -1/405 (pow.f64 y 6))))) |
(pow.f64 (pow.f64 (cos.f64 y) 2) 1/3) |
(pow.f64 (pow.f64 (cos.f64 y) 2) 1/3) |
(pow.f64 (pow.f64 (cos.f64 y) 2) 1/3) |
(pow.f64 (pow.f64 (cos.f64 y) 2) 1/3) |
(pow.f64 (pow.f64 (cos.f64 y) 2) 1/3) |
(pow.f64 (pow.f64 (cos.f64 y) 2) 1/3) |
(pow.f64 (pow.f64 (cos.f64 y) 2) 1/3) |
(pow.f64 (pow.f64 (cos.f64 y) 2) 1/3) |
x |
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 2) x)) x) |
(+.f64 (*.f64 -1/72 (*.f64 (pow.f64 y 4) x)) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 2) x)) x)) |
(+.f64 (*.f64 -1/72 (*.f64 (pow.f64 y 4) x)) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 -23/6480 (*.f64 (pow.f64 y 6) x)) x))) |
(*.f64 (pow.f64 (*.f64 1 (cos.f64 y)) 1/3) x) |
(*.f64 (pow.f64 (*.f64 1 (cos.f64 y)) 1/3) x) |
(*.f64 (pow.f64 (*.f64 1 (cos.f64 y)) 1/3) x) |
(*.f64 (pow.f64 (*.f64 1 (cos.f64 y)) 1/3) x) |
(*.f64 (pow.f64 (*.f64 1 (cos.f64 y)) 1/3) x) |
(*.f64 (pow.f64 (*.f64 1 (cos.f64 y)) 1/3) x) |
(*.f64 (pow.f64 (*.f64 1 (cos.f64 y)) 1/3) x) |
(*.f64 (pow.f64 (*.f64 1 (cos.f64 y)) 1/3) x) |
(*.f64 (pow.f64 (*.f64 1 (cos.f64 y)) 1/3) x) |
(*.f64 (pow.f64 (*.f64 1 (cos.f64 y)) 1/3) x) |
(*.f64 (pow.f64 (*.f64 1 (cos.f64 y)) 1/3) x) |
(*.f64 (pow.f64 (*.f64 1 (cos.f64 y)) 1/3) x) |
(*.f64 (pow.f64 (*.f64 1 (cos.f64 y)) 1/3) x) |
(*.f64 (pow.f64 (*.f64 1 (cos.f64 y)) 1/3) x) |
(*.f64 (pow.f64 (*.f64 1 (cos.f64 y)) 1/3) x) |
(*.f64 (pow.f64 (*.f64 1 (cos.f64 y)) 1/3) x) |
(*.f64 (pow.f64 (*.f64 1 (cos.f64 y)) 1/3) x) |
(*.f64 (pow.f64 (*.f64 1 (cos.f64 y)) 1/3) x) |
(*.f64 (pow.f64 (*.f64 1 (cos.f64 y)) 1/3) x) |
(*.f64 (pow.f64 (*.f64 1 (cos.f64 y)) 1/3) x) |
(*.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 |
|---|
1 |
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2))) |
(+.f64 1 (*.f64 -1/6 (*.f64 y y))) |
(fma.f64 -1/6 (*.f64 y y) 1) |
(+.f64 (*.f64 -1/72 (pow.f64 y 4)) (+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))) |
(fma.f64 -1/72 (pow.f64 y 4) (+.f64 1 (*.f64 -1/6 (*.f64 y y)))) |
(fma.f64 -1/72 (pow.f64 y 4) (fma.f64 -1/6 (*.f64 y y) 1)) |
(fma.f64 -1/6 (*.f64 y y) (fma.f64 -1/72 (pow.f64 y 4) 1)) |
(+.f64 (*.f64 -23/6480 (pow.f64 y 6)) (+.f64 (*.f64 -1/72 (pow.f64 y 4)) (+.f64 1 (*.f64 -1/6 (pow.f64 y 2))))) |
(fma.f64 -23/6480 (pow.f64 y 6) (fma.f64 -1/72 (pow.f64 y 4) (+.f64 1 (*.f64 -1/6 (*.f64 y y))))) |
(fma.f64 -23/6480 (pow.f64 y 6) (fma.f64 -1/72 (pow.f64 y 4) (fma.f64 -1/6 (*.f64 y y) 1))) |
(fma.f64 -23/6480 (pow.f64 y 6) (fma.f64 -1/6 (*.f64 y y) (fma.f64 -1/72 (pow.f64 y 4) 1))) |
(pow.f64 (cos.f64 y) 1/3) |
(cbrt.f64 (cos.f64 y)) |
(pow.f64 (cos.f64 y) 1/3) |
(cbrt.f64 (cos.f64 y)) |
(pow.f64 (cos.f64 y) 1/3) |
(cbrt.f64 (cos.f64 y)) |
(pow.f64 (cos.f64 y) 1/3) |
(cbrt.f64 (cos.f64 y)) |
(pow.f64 (cos.f64 y) 1/3) |
(cbrt.f64 (cos.f64 y)) |
(pow.f64 (cos.f64 y) 1/3) |
(cbrt.f64 (cos.f64 y)) |
(pow.f64 (cos.f64 y) 1/3) |
(cbrt.f64 (cos.f64 y)) |
(pow.f64 (cos.f64 y) 1/3) |
(cbrt.f64 (cos.f64 y)) |
1 |
(+.f64 1 (*.f64 -1/3 (pow.f64 y 2))) |
(+.f64 1 (*.f64 (*.f64 y y) -1/3)) |
(fma.f64 (*.f64 y y) -1/3 1) |
(fma.f64 y (*.f64 y -1/3) 1) |
(+.f64 1 (+.f64 (*.f64 -1/3 (pow.f64 y 2)) (*.f64 -1/405 (pow.f64 y 6)))) |
(+.f64 1 (fma.f64 -1/3 (*.f64 y y) (*.f64 (pow.f64 y 6) -1/405))) |
(+.f64 1 (fma.f64 (pow.f64 y 6) -1/405 (*.f64 y (*.f64 y -1/3)))) |
(fma.f64 y (*.f64 y -1/3) (fma.f64 (pow.f64 y 6) -1/405 1)) |
(fma.f64 (pow.f64 y 6) -1/405 (fma.f64 y (*.f64 y -1/3) 1)) |
(+.f64 1 (+.f64 (*.f64 -1/1701 (pow.f64 y 8)) (+.f64 (*.f64 -1/3 (pow.f64 y 2)) (*.f64 -1/405 (pow.f64 y 6))))) |
(+.f64 1 (fma.f64 -1/1701 (pow.f64 y 8) (fma.f64 -1/3 (*.f64 y y) (*.f64 (pow.f64 y 6) -1/405)))) |
(+.f64 1 (fma.f64 -1/1701 (pow.f64 y 8) (fma.f64 (pow.f64 y 6) -1/405 (*.f64 y (*.f64 y -1/3))))) |
(fma.f64 -1/1701 (pow.f64 y 8) (fma.f64 y (*.f64 y -1/3) (fma.f64 (pow.f64 y 6) -1/405 1))) |
(fma.f64 -1/1701 (pow.f64 y 8) (fma.f64 (pow.f64 y 6) -1/405 (fma.f64 y (*.f64 y -1/3) 1))) |
(pow.f64 (pow.f64 (cos.f64 y) 2) 1/3) |
(cbrt.f64 (pow.f64 (cos.f64 y) 2)) |
(pow.f64 (pow.f64 (cos.f64 y) 2) 1/3) |
(cbrt.f64 (pow.f64 (cos.f64 y) 2)) |
(pow.f64 (pow.f64 (cos.f64 y) 2) 1/3) |
(cbrt.f64 (pow.f64 (cos.f64 y) 2)) |
(pow.f64 (pow.f64 (cos.f64 y) 2) 1/3) |
(cbrt.f64 (pow.f64 (cos.f64 y) 2)) |
(pow.f64 (pow.f64 (cos.f64 y) 2) 1/3) |
(cbrt.f64 (pow.f64 (cos.f64 y) 2)) |
(pow.f64 (pow.f64 (cos.f64 y) 2) 1/3) |
(cbrt.f64 (pow.f64 (cos.f64 y) 2)) |
(pow.f64 (pow.f64 (cos.f64 y) 2) 1/3) |
(cbrt.f64 (pow.f64 (cos.f64 y) 2)) |
(pow.f64 (pow.f64 (cos.f64 y) 2) 1/3) |
(cbrt.f64 (pow.f64 (cos.f64 y) 2)) |
x |
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 2) x)) x) |
(fma.f64 -1/6 (*.f64 (*.f64 y y) x) x) |
(*.f64 (fma.f64 -1/6 (*.f64 y y) 1) x) |
(+.f64 (*.f64 -1/72 (*.f64 (pow.f64 y 4) x)) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 2) x)) x)) |
(fma.f64 -1/72 (*.f64 (pow.f64 y 4) x) (fma.f64 -1/6 (*.f64 (*.f64 y y) x) x)) |
(fma.f64 -1/72 (*.f64 (pow.f64 y 4) x) (*.f64 (fma.f64 -1/6 (*.f64 y y) 1) x)) |
(*.f64 x (fma.f64 -1/72 (pow.f64 y 4) (fma.f64 -1/6 (*.f64 y y) 1))) |
(*.f64 (fma.f64 -1/6 (*.f64 y y) (fma.f64 -1/72 (pow.f64 y 4) 1)) x) |
(+.f64 (*.f64 -1/72 (*.f64 (pow.f64 y 4) x)) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 -23/6480 (*.f64 (pow.f64 y 6) x)) x))) |
(fma.f64 -1/72 (*.f64 (pow.f64 y 4) x) (fma.f64 -1/6 (*.f64 (*.f64 y y) x) (fma.f64 -23/6480 (*.f64 (pow.f64 y 6) x) x))) |
(fma.f64 -1/72 (*.f64 (pow.f64 y 4) x) (*.f64 x (fma.f64 -23/6480 (pow.f64 y 6) (fma.f64 -1/6 (*.f64 y y) 1)))) |
(*.f64 x (fma.f64 -23/6480 (pow.f64 y 6) (fma.f64 -1/6 (*.f64 y y) (fma.f64 -1/72 (pow.f64 y 4) 1)))) |
(*.f64 (pow.f64 (*.f64 1 (cos.f64 y)) 1/3) x) |
(*.f64 x (cbrt.f64 (cos.f64 y))) |
(*.f64 (pow.f64 (*.f64 1 (cos.f64 y)) 1/3) x) |
(*.f64 x (cbrt.f64 (cos.f64 y))) |
(*.f64 (pow.f64 (*.f64 1 (cos.f64 y)) 1/3) x) |
(*.f64 x (cbrt.f64 (cos.f64 y))) |
(*.f64 (pow.f64 (*.f64 1 (cos.f64 y)) 1/3) x) |
(*.f64 x (cbrt.f64 (cos.f64 y))) |
(*.f64 (pow.f64 (*.f64 1 (cos.f64 y)) 1/3) x) |
(*.f64 x (cbrt.f64 (cos.f64 y))) |
(*.f64 (pow.f64 (*.f64 1 (cos.f64 y)) 1/3) x) |
(*.f64 x (cbrt.f64 (cos.f64 y))) |
(*.f64 (pow.f64 (*.f64 1 (cos.f64 y)) 1/3) x) |
(*.f64 x (cbrt.f64 (cos.f64 y))) |
(*.f64 (pow.f64 (*.f64 1 (cos.f64 y)) 1/3) x) |
(*.f64 x (cbrt.f64 (cos.f64 y))) |
(*.f64 (pow.f64 (*.f64 1 (cos.f64 y)) 1/3) x) |
(*.f64 x (cbrt.f64 (cos.f64 y))) |
(*.f64 (pow.f64 (*.f64 1 (cos.f64 y)) 1/3) x) |
(*.f64 x (cbrt.f64 (cos.f64 y))) |
(*.f64 (pow.f64 (*.f64 1 (cos.f64 y)) 1/3) x) |
(*.f64 x (cbrt.f64 (cos.f64 y))) |
(*.f64 (pow.f64 (*.f64 1 (cos.f64 y)) 1/3) x) |
(*.f64 x (cbrt.f64 (cos.f64 y))) |
(*.f64 (pow.f64 (*.f64 1 (cos.f64 y)) 1/3) x) |
(*.f64 x (cbrt.f64 (cos.f64 y))) |
(*.f64 (pow.f64 (*.f64 1 (cos.f64 y)) 1/3) x) |
(*.f64 x (cbrt.f64 (cos.f64 y))) |
(*.f64 (pow.f64 (*.f64 1 (cos.f64 y)) 1/3) x) |
(*.f64 x (cbrt.f64 (cos.f64 y))) |
(*.f64 (pow.f64 (*.f64 1 (cos.f64 y)) 1/3) x) |
(*.f64 x (cbrt.f64 (cos.f64 y))) |
(*.f64 (pow.f64 (*.f64 1 (cos.f64 y)) 1/3) x) |
(*.f64 x (cbrt.f64 (cos.f64 y))) |
(*.f64 (pow.f64 (*.f64 1 (cos.f64 y)) 1/3) x) |
(*.f64 x (cbrt.f64 (cos.f64 y))) |
(*.f64 (pow.f64 (*.f64 1 (cos.f64 y)) 1/3) x) |
(*.f64 x (cbrt.f64 (cos.f64 y))) |
(*.f64 (pow.f64 (*.f64 1 (cos.f64 y)) 1/3) x) |
(*.f64 x (cbrt.f64 (cos.f64 y))) |
(*.f64 -1 (*.f64 y z)) |
(neg.f64 (*.f64 y z)) |
(*.f64 y (neg.f64 z)) |
(*.f64 z (neg.f64 y)) |
(+.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 (fma.f64 1/6 (pow.f64 y 3) (neg.f64 y))) |
(*.f64 z (-.f64 (*.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 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 1/6 (pow.f64 y 3)) (*.f64 -1/120 (pow.f64 y 5)))) (*.f64 y z)) |
(*.f64 z (-.f64 (fma.f64 1/6 (pow.f64 y 3) (*.f64 -1/120 (pow.f64 y 5))) 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 1/6 (pow.f64 y 3)) (*.f64 -1/120 (pow.f64 y 5)))) (*.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 (fma.f64 1/5040 (pow.f64 y 7) (-.f64 (fma.f64 1/6 (pow.f64 y 3) (*.f64 -1/120 (pow.f64 y 5))) y))) |
(*.f64 z (fma.f64 -1/120 (pow.f64 y 5) (fma.f64 1/6 (pow.f64 y 3) (-.f64 (*.f64 1/5040 (pow.f64 y 7)) y)))) |
(*.f64 -1 (*.f64 z (sin.f64 y))) |
(neg.f64 (*.f64 z (sin.f64 y))) |
(*.f64 z (neg.f64 (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 -1 (*.f64 z (sin.f64 y))) |
(neg.f64 (*.f64 z (sin.f64 y))) |
(*.f64 z (neg.f64 (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 -1 (*.f64 z (sin.f64 y))) |
(neg.f64 (*.f64 z (sin.f64 y))) |
(*.f64 z (neg.f64 (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 -1 (*.f64 z (sin.f64 y))) |
(neg.f64 (*.f64 z (sin.f64 y))) |
(*.f64 z (neg.f64 (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 -1 (*.f64 z (sin.f64 y))) |
(neg.f64 (*.f64 z (sin.f64 y))) |
(*.f64 z (neg.f64 (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 -1 (*.f64 z (sin.f64 y))) |
(neg.f64 (*.f64 z (sin.f64 y))) |
(*.f64 z (neg.f64 (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 -1 (*.f64 z (sin.f64 y))) |
(neg.f64 (*.f64 z (sin.f64 y))) |
(*.f64 z (neg.f64 (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 -1 (*.f64 z (sin.f64 y))) |
(neg.f64 (*.f64 z (sin.f64 y))) |
(*.f64 z (neg.f64 (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 -1 (*.f64 z (sin.f64 y))) |
(neg.f64 (*.f64 z (sin.f64 y))) |
(*.f64 z (neg.f64 (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 -1 (*.f64 z (sin.f64 y))) |
(neg.f64 (*.f64 z (sin.f64 y))) |
(*.f64 z (neg.f64 (sin.f64 y))) |
(*.f64 -1 (*.f64 z (sin.f64 y))) |
(neg.f64 (*.f64 z (sin.f64 y))) |
(*.f64 z (neg.f64 (sin.f64 y))) |
Compiled 11 to 5 computations (54.5% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.1b | (*.f64 z (neg.f64 (sin.f64 y))) | |
| ✓ | 0.1b | (*.f64 z (neg.f64 (sin.f64 y))) |
Compiled 15 to 6 computations (60% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | z | @ | 0 | (*.f64 z (neg.f64 (sin.f64 y))) |
| 0.0ms | y | @ | 0 | (*.f64 z (neg.f64 (sin.f64 y))) |
| 0.0ms | z | @ | -inf | (*.f64 z (neg.f64 (sin.f64 y))) |
| 0.0ms | z | @ | inf | (*.f64 z (neg.f64 (sin.f64 y))) |
| 0.0ms | y | @ | -inf | (*.f64 z (neg.f64 (sin.f64 y))) |
| 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 | 1543 | 6 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 z (neg.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 (+.f64 1 (*.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)) 3) 1/3)))) (#(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 neg.f64 (*.f64 z (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 cbrt.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3))))) (#(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 expm1.f64 (log1p.f64 (*.f64 z (sin.f64 y)))))))) |
| 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 | 636 | 226 |
| 4 | 2086 | 226 |
| 5 | 4305 | 226 |
| 6 | 6269 | 226 |
| 7 | 7804 | 226 |
| 1× | node limit |
| Inputs |
|---|
(*.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 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))) |
| Outputs |
|---|
(*.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 -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 -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 -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 -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 -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 -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 -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 -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 -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 -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 -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 -1 (*.f64 y z)) |
(neg.f64 (*.f64 z y)) |
(*.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 z y) (*.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 (*.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 z y) (fma.f64 -1/120 (*.f64 z (pow.f64 y 5)) (*.f64 1/6 (*.f64 z (pow.f64 y 3))))) |
(-.f64 (*.f64 z (+.f64 (*.f64 1/6 (pow.f64 y 3)) (*.f64 -1/120 (pow.f64 y 5)))) (*.f64 z y)) |
(*.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 z y) (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 1/6 (pow.f64 y 3)) (*.f64 -1/120 (pow.f64 y 5)))) (*.f64 z y))) |
(*.f64 z (+.f64 (-.f64 (*.f64 1/5040 (pow.f64 y 7)) y) (fma.f64 1/6 (pow.f64 y 3) (*.f64 -1/120 (pow.f64 y 5))))) |
(*.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 -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 -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 -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 -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 -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 -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 -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 -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)) |
Found 8 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.1b | (*.f64 x (cos.f64 y)) | |
| 0.1b | (*.f64 z (sin.f64 y)) | |
| 0.0b | (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) | |
| 0.0b | (log.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) | |
| 0.0b | (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) | |
| 0.1b | (*.f64 z (sin.f64 y)) | |
| 0.1b | (*.f64 x (cos.f64 y)) | |
| ✓ | 2.6b | (exp.f64 (log.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))) |
Compiled 48 to 10 computations (79.2% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (exp.f64 (log.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))) |
| 0.0ms | x | @ | -inf | (exp.f64 (log.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))) |
| 0.0ms | z | @ | inf | (exp.f64 (log.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))) |
| 0.0ms | y | @ | inf | (exp.f64 (log.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))) |
| 0.0ms | x | @ | inf | (exp.f64 (log.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))) |
| 1× | batch-egg-rewrite |
| 556× | log-prod_binary64 |
| 412× | exp-prod_binary64 |
| 396× | fma-def_binary64 |
| 356× | pow-prod-down_binary64 |
| 288× | pow2_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 14 |
| 1 | 222 | 14 |
| 2 | 2846 | 14 |
| 1× | node limit |
| Inputs |
|---|
(exp.f64 (log.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))) |
| Outputs |
|---|
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(*.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)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (cbrt.f64 (cos.f64 y)) (*.f64 (sin.f64 y) (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (cbrt.f64 (cos.f64 y)) (*.f64 (*.f64 (sin.f64 y) (neg.f64 z)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (cbrt.f64 (cos.f64 y)) (fma.f64 z (neg.f64 (sin.f64 y)) (fma.f64 z (neg.f64 (sin.f64 y)) (*.f64 z (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (cbrt.f64 (cos.f64 y)) (neg.f64 (-.f64 (*.f64 z (sin.f64 y)) (fma.f64 z (neg.f64 (sin.f64 y)) (*.f64 z (sin.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)) (*.f64 (sin.f64 y) (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)) (*.f64 (*.f64 (sin.f64 y) (neg.f64 z)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)) (fma.f64 z (neg.f64 (sin.f64 y)) (fma.f64 z (neg.f64 (sin.f64 y)) (*.f64 z (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)) (neg.f64 (-.f64 (*.f64 z (sin.f64 y)) (fma.f64 z (neg.f64 (sin.f64 y)) (*.f64 z (sin.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cos.f64 y) (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 (*.f64 (cos.f64 y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.f64 (*.f64 (sin.f64 y) (neg.f64 z)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cos.f64 y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (fma.f64 z (neg.f64 (sin.f64 y)) (fma.f64 z (neg.f64 (sin.f64 y)) (*.f64 z (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cos.f64 y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (neg.f64 (-.f64 (*.f64 z (sin.f64 y)) (fma.f64 z (neg.f64 (sin.f64 y)) (*.f64 z (sin.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cos.f64 y) (sqrt.f64 x)) (sqrt.f64 x) (*.f64 (sin.f64 y) (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cos.f64 y) (sqrt.f64 x)) (sqrt.f64 x) (*.f64 (*.f64 (sin.f64 y) (neg.f64 z)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cos.f64 y) (sqrt.f64 x)) (sqrt.f64 x) (fma.f64 z (neg.f64 (sin.f64 y)) (fma.f64 z (neg.f64 (sin.f64 y)) (*.f64 z (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cos.f64 y) (sqrt.f64 x)) (sqrt.f64 x) (neg.f64 (-.f64 (*.f64 z (sin.f64 y)) (fma.f64 z (neg.f64 (sin.f64 y)) (*.f64 z (sin.f64 y)))))))))) |
| 1× | egg-herbie |
| 829× | distribute-rgt-neg-in_binary64 |
| 716× | distribute-lft-neg-in_binary64 |
| 469× | distribute-lft-out--_binary64 |
| 446× | cancel-sign-sub-inv_binary64 |
| 341× | fma-def_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 30 | 461 |
| 1 | 85 | 458 |
| 2 | 205 | 458 |
| 3 | 516 | 454 |
| 4 | 1786 | 454 |
| 5 | 4396 | 454 |
| 1× | node limit |
| Inputs |
|---|
(*.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 (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 (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)) |
x |
(+.f64 (*.f64 -1 (*.f64 y z)) x) |
(+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) x)) |
(+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) (+.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 (*.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))) (*.f64 (cos.f64 y) x)) |
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(fma.f64 z (neg.f64 (sin.f64 y)) (*.f64 (cos.f64 y) x)) |
(fma.f64 (sin.f64 y) (neg.f64 z) (*.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))) |
(fma.f64 z (neg.f64 (sin.f64 y)) (*.f64 (cos.f64 y) x)) |
(fma.f64 (sin.f64 y) (neg.f64 z) (*.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))) |
(fma.f64 z (neg.f64 (sin.f64 y)) (*.f64 (cos.f64 y) x)) |
(fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 (cos.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))) |
(fma.f64 z (neg.f64 (sin.f64 y)) (*.f64 (cos.f64 y) x)) |
(fma.f64 (sin.f64 y) (neg.f64 z) (*.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))) |
(fma.f64 z (neg.f64 (sin.f64 y)) (*.f64 (cos.f64 y) x)) |
(fma.f64 (sin.f64 y) (neg.f64 z) (*.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))) |
(fma.f64 z (neg.f64 (sin.f64 y)) (*.f64 (cos.f64 y) x)) |
(fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 (cos.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))) |
(fma.f64 z (neg.f64 (sin.f64 y)) (*.f64 (cos.f64 y) x)) |
(fma.f64 (sin.f64 y) (neg.f64 z) (*.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))) |
(fma.f64 z (neg.f64 (sin.f64 y)) (*.f64 (cos.f64 y) x)) |
(fma.f64 (sin.f64 y) (neg.f64 z) (*.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))) |
(fma.f64 z (neg.f64 (sin.f64 y)) (*.f64 (cos.f64 y) x)) |
(fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 (cos.f64 y) 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) |
(fma.f64 y (neg.f64 z) x) |
(+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) x)) |
(fma.f64 -1 (*.f64 z y) (fma.f64 -1/2 (*.f64 x (*.f64 y y)) x)) |
(-.f64 (fma.f64 (*.f64 (*.f64 -1/2 y) y) x x) (*.f64 z y)) |
(-.f64 (*.f64 x (fma.f64 (*.f64 y -1/2) y 1)) (*.f64 z y)) |
(+.f64 x (*.f64 y (-.f64 (*.f64 y (*.f64 x -1/2)) z))) |
(+.f64 x (*.f64 y (fma.f64 y (*.f64 x -1/2) (neg.f64 z)))) |
(+.f64 x (*.f64 y (fma.f64 x (*.f64 y -1/2) (neg.f64 z)))) |
(+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 y 3) z)) x))) |
(fma.f64 -1 (*.f64 z y) (fma.f64 -1/2 (*.f64 x (*.f64 y y)) (fma.f64 1/6 (*.f64 z (pow.f64 y 3)) x))) |
(-.f64 (fma.f64 (*.f64 (*.f64 -1/2 y) y) x (fma.f64 1/6 (*.f64 z (pow.f64 y 3)) x)) (*.f64 z y)) |
(-.f64 (fma.f64 (pow.f64 y 3) (*.f64 z 1/6) (*.f64 x (fma.f64 (*.f64 y -1/2) y 1))) (*.f64 z y)) |
(fma.f64 x (fma.f64 y (*.f64 y -1/2) 1) (*.f64 z (-.f64 (*.f64 1/6 (pow.f64 y 3)) y))) |
(fma.f64 x (fma.f64 y (*.f64 y -1/2) 1) (*.f64 z (fma.f64 1/6 (pow.f64 y 3) (neg.f64 y)))) |
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(fma.f64 z (neg.f64 (sin.f64 y)) (*.f64 (cos.f64 y) x)) |
(fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 (cos.f64 y) x)) |
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(fma.f64 z (neg.f64 (sin.f64 y)) (*.f64 (cos.f64 y) x)) |
(fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 (cos.f64 y) x)) |
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(fma.f64 z (neg.f64 (sin.f64 y)) (*.f64 (cos.f64 y) x)) |
(fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 (cos.f64 y) x)) |
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(fma.f64 z (neg.f64 (sin.f64 y)) (*.f64 (cos.f64 y) x)) |
(fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 (cos.f64 y) x)) |
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(fma.f64 z (neg.f64 (sin.f64 y)) (*.f64 (cos.f64 y) x)) |
(fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 (cos.f64 y) x)) |
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(fma.f64 z (neg.f64 (sin.f64 y)) (*.f64 (cos.f64 y) x)) |
(fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 (cos.f64 y) x)) |
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(fma.f64 z (neg.f64 (sin.f64 y)) (*.f64 (cos.f64 y) x)) |
(fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 (cos.f64 y) x)) |
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(fma.f64 z (neg.f64 (sin.f64 y)) (*.f64 (cos.f64 y) x)) |
(fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 (cos.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))) |
(fma.f64 z (neg.f64 (sin.f64 y)) (*.f64 (cos.f64 y) x)) |
(fma.f64 (sin.f64 y) (neg.f64 z) (*.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))) |
(fma.f64 z (neg.f64 (sin.f64 y)) (*.f64 (cos.f64 y) x)) |
(fma.f64 (sin.f64 y) (neg.f64 z) (*.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))) |
(fma.f64 z (neg.f64 (sin.f64 y)) (*.f64 (cos.f64 y) x)) |
(fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 (cos.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 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x)) |
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(fma.f64 z (neg.f64 (sin.f64 y)) (*.f64 (cos.f64 y) x)) |
(fma.f64 (sin.f64 y) (neg.f64 z) (*.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))) |
(fma.f64 z (neg.f64 (sin.f64 y)) (*.f64 (cos.f64 y) x)) |
(fma.f64 (sin.f64 y) (neg.f64 z) (*.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))) |
(fma.f64 z (neg.f64 (sin.f64 y)) (*.f64 (cos.f64 y) x)) |
(fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 (cos.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 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x)) |
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(fma.f64 z (neg.f64 (sin.f64 y)) (*.f64 (cos.f64 y) x)) |
(fma.f64 (sin.f64 y) (neg.f64 z) (*.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))) |
(fma.f64 z (neg.f64 (sin.f64 y)) (*.f64 (cos.f64 y) x)) |
(fma.f64 (sin.f64 y) (neg.f64 z) (*.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))) |
(fma.f64 z (neg.f64 (sin.f64 y)) (*.f64 (cos.f64 y) x)) |
(fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 (cos.f64 y) x)) |
Found 8 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.1b | (*.f64 x (cos.f64 y)) | |
| 0.1b | (*.f64 z (sin.f64 y)) | |
| 0.0b | (sqrt.f64 (-.f64 (pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) 3) (*.f64 z (sin.f64 y)))) | |
| 0.0b | (-.f64 (pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) 3) (*.f64 z (sin.f64 y))) | |
| 0.1b | (*.f64 x (cos.f64 y)) | |
| ✓ | 0.2b | (pow.f64 (sqrt.f64 (-.f64 (pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) 3) (*.f64 z (sin.f64 y)))) 2) |
| ✓ | 0.7b | (cbrt.f64 (*.f64 x (cos.f64 y))) |
| ✓ | 0.7b | (pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) 3) |
Compiled 72 to 25 computations (65.3% saved)
21 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 7.0ms | y | @ | inf | (pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) 3) |
| 3.0ms | z | @ | 0 | (pow.f64 (sqrt.f64 (-.f64 (pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) 3) (*.f64 z (sin.f64 y)))) 2) |
| 3.0ms | y | @ | 0 | (pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) 3) |
| 2.0ms | y | @ | inf | (pow.f64 (sqrt.f64 (-.f64 (pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) 3) (*.f64 z (sin.f64 y)))) 2) |
| 2.0ms | y | @ | -inf | (pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) 3) |
| 1× | batch-egg-rewrite |
| 639× | log-prod_binary64 |
| 429× | pow-prod-down_binary64 |
| 359× | fma-def_binary64 |
| 337× | pow2_binary64 |
| 234× | expm1-udef_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 28 |
| 1 | 323 | 28 |
| 2 | 3518 | 28 |
| 1× | node limit |
| Inputs |
|---|
(pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) 3) |
(cbrt.f64 (*.f64 x (cos.f64 y))) |
(pow.f64 (sqrt.f64 (-.f64 (pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) 3) (*.f64 z (sin.f64 y)))) 2) |
| Outputs |
|---|
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cbrt.f64 (*.f64 x (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (*.f64 x (cos.f64 y))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (*.f64 x (cos.f64 y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (*.f64 x (cos.f64 y)))))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (*.f64 x (cos.f64 y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (*.f64 x (cos.f64 y))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (*.f64 x (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (cos.f64 y)))) (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) 2)) (cbrt.f64 (cbrt.f64 (*.f64 x (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 x) (cbrt.f64 (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 x (cos.f64 y)) 1/6) (pow.f64 (*.f64 x (cos.f64 y)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (*.f64 x (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (cos.f64 y)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (cos.f64 y)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) 2)) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (cos.f64 y)) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3) 1/9)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (*.f64 x (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (*.f64 x (cos.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 x (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (*.f64 x (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (cos.f64 y))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x (cos.f64 y)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 x (cos.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 (*.f64 (sin.f64 y) (neg.f64 z)) (*.f64 x (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))))) (#(struct:change #<rule 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(#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (fma.f64 x (cos.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))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) (sqrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) (cbrt.f64 (pow.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) 2)) (cbrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))))) 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y))))))) |
| 1× | egg-herbie |
| 529× | times-frac_binary64 |
| 410× | *-commutative_binary64 |
| 399× | associate-+l+_binary64 |
| 358× | associate-+r+_binary64 |
| 335× | fma-neg_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 165 | 959 |
| 1 | 562 | 835 |
| 2 | 2021 | 800 |
| 3 | 7453 | 763 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (pow.f64 1 1/3) x) |
(+.f64 (*.f64 (pow.f64 1 1/3) x) (*.f64 (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 1 1/3) x)) (*.f64 -1/6 (*.f64 (pow.f64 1 1/3) x))) (pow.f64 y 2))) |
(+.f64 (*.f64 (pow.f64 1 1/3) x) (+.f64 (*.f64 (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 1 1/3) x)) (*.f64 -1/6 (*.f64 (pow.f64 1 1/3) x))) (pow.f64 y 2)) (*.f64 (pow.f64 y 4) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 1 1/3) (-.f64 (*.f64 1/24 x) (*.f64 1/12 x)))) (+.f64 (*.f64 1/18 (*.f64 (pow.f64 1 1/3) x)) (*.f64 (+.f64 (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 x) 1/3) (-.f64 (*.f64 1/24 x) (*.f64 1/12 x)))) (*.f64 1/36 (pow.f64 (*.f64 1 (pow.f64 x 2)) 1/3))) (pow.f64 (*.f64 1 x) 1/3))))))) |
(+.f64 (*.f64 (pow.f64 1 1/3) x) (+.f64 (*.f64 (+.f64 (*.f64 -1/6 (*.f64 (+.f64 (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 x) 1/3) (-.f64 (*.f64 1/24 x) (*.f64 1/12 x)))) (*.f64 1/36 (pow.f64 (*.f64 1 (pow.f64 x 2)) 1/3))) (pow.f64 (*.f64 1 x) 1/3))) (+.f64 (*.f64 (pow.f64 (*.f64 1 x) 1/3) (+.f64 (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 x) 1/3) (-.f64 (*.f64 -1/720 x) (+.f64 (*.f64 -1/3 (-.f64 (*.f64 1/24 x) (*.f64 1/12 x))) (*.f64 -1/216 x))))) (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 1 x) 1/3) (-.f64 (*.f64 1/24 x) (*.f64 1/12 x)))))) (+.f64 (*.f64 1/3 (*.f64 (-.f64 (*.f64 -1/720 x) (+.f64 (*.f64 -1/3 (-.f64 (*.f64 1/24 x) (*.f64 1/12 x))) (*.f64 -1/216 x))) (pow.f64 1 1/3))) (*.f64 -1/9 (*.f64 (pow.f64 1 1/3) (-.f64 (*.f64 1/24 x) (*.f64 1/12 x))))))) (pow.f64 y 6)) (+.f64 (*.f64 (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 1 1/3) x)) (*.f64 -1/6 (*.f64 (pow.f64 1 1/3) x))) (pow.f64 y 2)) (*.f64 (pow.f64 y 4) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 1 1/3) (-.f64 (*.f64 1/24 x) (*.f64 1/12 x)))) (+.f64 (*.f64 1/18 (*.f64 (pow.f64 1 1/3) x)) (*.f64 (+.f64 (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 x) 1/3) (-.f64 (*.f64 1/24 x) (*.f64 1/12 x)))) (*.f64 1/36 (pow.f64 (*.f64 1 (pow.f64 x 2)) 1/3))) (pow.f64 (*.f64 1 x) 1/3)))))))) |
(*.f64 (pow.f64 1 1/3) (*.f64 (cos.f64 y) x)) |
(*.f64 (pow.f64 1 1/3) (*.f64 (cos.f64 y) x)) |
(*.f64 (pow.f64 1 1/3) (*.f64 (cos.f64 y) x)) |
(*.f64 (pow.f64 1 1/3) (*.f64 (cos.f64 y) x)) |
(*.f64 (pow.f64 1 1/3) (*.f64 (cos.f64 y) x)) |
(*.f64 (pow.f64 1 1/3) (*.f64 (cos.f64 y) x)) |
(*.f64 (pow.f64 1 1/3) (*.f64 (cos.f64 y) x)) |
(*.f64 (pow.f64 1 1/3) (*.f64 (cos.f64 y) x)) |
(pow.f64 x 1/3) |
(+.f64 (pow.f64 x 1/3) (*.f64 -1/6 (*.f64 (pow.f64 (*.f64 1 x) 1/3) (pow.f64 y 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 4) (-.f64 (*.f64 1/24 x) (*.f64 1/12 x))))) (*.f64 -1/6 (*.f64 (pow.f64 (*.f64 1 x) 1/3) (pow.f64 y 2))))) |
(+.f64 (pow.f64 x 1/3) (+.f64 (*.f64 1/3 (*.f64 (*.f64 (-.f64 (*.f64 -1/720 x) (+.f64 (*.f64 -1/3 (-.f64 (*.f64 1/24 x) (*.f64 1/12 x))) (*.f64 -1/216 x))) (pow.f64 y 6)) (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3))) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3) (*.f64 (pow.f64 y 4) (-.f64 (*.f64 1/24 x) (*.f64 1/12 x))))) (*.f64 -1/6 (*.f64 (pow.f64 (*.f64 1 x) 1/3) (pow.f64 y 2)))))) |
(pow.f64 (*.f64 (cos.f64 y) x) 1/3) |
(pow.f64 (*.f64 (cos.f64 y) x) 1/3) |
(pow.f64 (*.f64 (cos.f64 y) x) 1/3) |
(pow.f64 (*.f64 (cos.f64 y) x) 1/3) |
(pow.f64 (*.f64 (cos.f64 y) x) 1/3) |
(pow.f64 (*.f64 (cos.f64 y) x) 1/3) |
(pow.f64 (*.f64 (cos.f64 y) x) 1/3) |
(pow.f64 (*.f64 (cos.f64 y) x) 1/3) |
(*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 z (sin.f64 y))) |
(*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 z (sin.f64 y))) |
(*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 z (sin.f64 y))) |
(*.f64 (pow.f64 1 1/3) x) |
(+.f64 (*.f64 -1 (*.f64 (pow.f64 1 1/3) (*.f64 y z))) (*.f64 (pow.f64 1 1/3) x)) |
(+.f64 (*.f64 -1 (*.f64 (pow.f64 1 1/3) (*.f64 y z))) (+.f64 (*.f64 (pow.f64 1 1/3) x) (*.f64 (pow.f64 y 2) (+.f64 (*.f64 1/4 (*.f64 (pow.f64 1 1/3) (/.f64 (pow.f64 z 2) x))) (*.f64 (pow.f64 1 1/3) (-.f64 (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 1 1/3) x)) (*.f64 -1/6 (*.f64 (pow.f64 1 1/3) x))) (pow.f64 (*.f64 -1/2 (*.f64 (pow.f64 1 1/6) (*.f64 z (sqrt.f64 (/.f64 1 x))))) 2))))))) |
(+.f64 (*.f64 -1 (*.f64 (pow.f64 1 1/3) (*.f64 y z))) (+.f64 (*.f64 (pow.f64 1 1/3) x) (+.f64 (*.f64 (pow.f64 y 2) (+.f64 (*.f64 1/4 (*.f64 (pow.f64 1 1/3) (/.f64 (pow.f64 z 2) x))) (*.f64 (pow.f64 1 1/3) (-.f64 (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 1 1/3) x)) (*.f64 -1/6 (*.f64 (pow.f64 1 1/3) x))) (pow.f64 (*.f64 -1/2 (*.f64 (pow.f64 1 1/6) (*.f64 z (sqrt.f64 (/.f64 1 x))))) 2))))) (*.f64 (pow.f64 y 3) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 1 1/3) (/.f64 (*.f64 z (-.f64 (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 1 1/3) x)) (*.f64 -1/6 (*.f64 (pow.f64 1 1/3) x))) (pow.f64 (*.f64 -1/2 (*.f64 (pow.f64 1 1/6) (*.f64 z (sqrt.f64 (/.f64 1 x))))) 2))) x))) (*.f64 -1 (*.f64 (pow.f64 1 1/3) (+.f64 (*.f64 -1/6 z) (*.f64 -1/2 (*.f64 (pow.f64 1 1/3) (/.f64 (*.f64 z (-.f64 (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 1 1/3) x)) (*.f64 -1/6 (*.f64 (pow.f64 1 1/3) x))) (pow.f64 (*.f64 -1/2 (*.f64 (pow.f64 1 1/6) (*.f64 z (sqrt.f64 (/.f64 1 x))))) 2))) x))))))))))) |
(-.f64 (*.f64 (pow.f64 1 1/3) (*.f64 (cos.f64 y) x)) (*.f64 z (sin.f64 y))) |
(-.f64 (*.f64 (pow.f64 1 1/3) (*.f64 (cos.f64 y) x)) (*.f64 z (sin.f64 y))) |
(-.f64 (*.f64 (pow.f64 1 1/3) (*.f64 (cos.f64 y) x)) (*.f64 z (sin.f64 y))) |
(-.f64 (*.f64 (pow.f64 1 1/3) (*.f64 (cos.f64 y) x)) (*.f64 z (sin.f64 y))) |
(-.f64 (*.f64 (pow.f64 1 1/3) (*.f64 (cos.f64 y) x)) (*.f64 z (sin.f64 y))) |
(-.f64 (*.f64 (pow.f64 1 1/3) (*.f64 (cos.f64 y) x)) (*.f64 z (sin.f64 y))) |
(-.f64 (*.f64 (pow.f64 1 1/3) (*.f64 (cos.f64 y) x)) (*.f64 z (sin.f64 y))) |
(-.f64 (*.f64 (pow.f64 1 1/3) (*.f64 (cos.f64 y) x)) (*.f64 z (sin.f64 y))) |
(*.f64 (pow.f64 1 1/3) (*.f64 (cos.f64 y) x)) |
(+.f64 (*.f64 -1 (*.f64 (pow.f64 1 1/3) (*.f64 z (sin.f64 y)))) (*.f64 (pow.f64 1 1/3) (*.f64 (cos.f64 y) x))) |
(+.f64 (*.f64 -1 (*.f64 (pow.f64 1 1/3) (*.f64 z (sin.f64 y)))) (+.f64 (*.f64 (pow.f64 1 1/3) (*.f64 (cos.f64 y) x)) (*.f64 (pow.f64 z 2) (+.f64 (*.f64 1/4 (*.f64 (pow.f64 1 1/3) (/.f64 (pow.f64 (sin.f64 y) 2) (*.f64 (cos.f64 y) x)))) (*.f64 -1/4 (*.f64 (pow.f64 1 1/3) (/.f64 (pow.f64 (sin.f64 y) 2) (*.f64 (cos.f64 y) x)))))))) |
(+.f64 (*.f64 -1 (*.f64 (pow.f64 1 1/3) (*.f64 z (sin.f64 y)))) (+.f64 (*.f64 (pow.f64 1 1/3) (*.f64 (cos.f64 y) x)) (+.f64 (*.f64 (pow.f64 z 2) (+.f64 (*.f64 1/4 (*.f64 (pow.f64 1 1/3) (/.f64 (pow.f64 (sin.f64 y) 2) (*.f64 (cos.f64 y) x)))) (*.f64 -1/4 (*.f64 (pow.f64 1 1/3) (/.f64 (pow.f64 (sin.f64 y) 2) (*.f64 (cos.f64 y) x)))))) (*.f64 (pow.f64 z 3) (+.f64 (*.f64 -1/8 (*.f64 (pow.f64 1 1/3) (/.f64 (pow.f64 (sin.f64 y) 3) (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2))))) (*.f64 1/8 (*.f64 (pow.f64 1 1/3) (/.f64 (pow.f64 (sin.f64 y) 3) (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)))))))))) |
| Outputs |
|---|
(*.f64 (pow.f64 1 1/3) x) |
x |
(+.f64 (*.f64 (pow.f64 1 1/3) x) (*.f64 (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 1 1/3) x)) (*.f64 -1/6 (*.f64 (pow.f64 1 1/3) x))) (pow.f64 y 2))) |
(+.f64 x (*.f64 (*.f64 x -1/2) (*.f64 y y))) |
(fma.f64 (*.f64 x -1/2) (*.f64 y y) x) |
(+.f64 (*.f64 (pow.f64 1 1/3) x) (+.f64 (*.f64 (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 1 1/3) x)) (*.f64 -1/6 (*.f64 (pow.f64 1 1/3) x))) (pow.f64 y 2)) (*.f64 (pow.f64 y 4) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 1 1/3) (-.f64 (*.f64 1/24 x) (*.f64 1/12 x)))) (+.f64 (*.f64 1/18 (*.f64 (pow.f64 1 1/3) x)) (*.f64 (+.f64 (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 x) 1/3) (-.f64 (*.f64 1/24 x) (*.f64 1/12 x)))) (*.f64 1/36 (pow.f64 (*.f64 1 (pow.f64 x 2)) 1/3))) (pow.f64 (*.f64 1 x) 1/3))))))) |
(+.f64 x (fma.f64 (*.f64 x -1/2) (*.f64 y y) (*.f64 (pow.f64 y 4) (+.f64 (*.f64 1/3 (*.f64 x -1/24)) (fma.f64 1/18 x (*.f64 (fma.f64 2/3 (*.f64 (*.f64 x -1/24) (cbrt.f64 (/.f64 1 x))) (*.f64 1/36 (cbrt.f64 (*.f64 x x)))) (cbrt.f64 x))))))) |
(+.f64 x (fma.f64 (pow.f64 y 4) (fma.f64 1/3 (*.f64 x -1/24) (fma.f64 (fma.f64 2/3 (*.f64 x (*.f64 -1/24 (cbrt.f64 (/.f64 1 x)))) (*.f64 1/36 (cbrt.f64 (*.f64 x x)))) (cbrt.f64 x) (*.f64 x 1/18))) (*.f64 x (*.f64 -1/2 (*.f64 y y))))) |
(+.f64 x (fma.f64 (pow.f64 y 4) (+.f64 (*.f64 x -1/72) (fma.f64 (fma.f64 (*.f64 2/3 (cbrt.f64 (/.f64 1 x))) (*.f64 x -1/24) (*.f64 1/36 (cbrt.f64 (*.f64 x x)))) (cbrt.f64 x) (*.f64 x 1/18))) (*.f64 x (*.f64 (*.f64 y y) -1/2)))) |
(+.f64 (*.f64 (pow.f64 1 1/3) x) (+.f64 (*.f64 (+.f64 (*.f64 -1/6 (*.f64 (+.f64 (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 x) 1/3) (-.f64 (*.f64 1/24 x) (*.f64 1/12 x)))) (*.f64 1/36 (pow.f64 (*.f64 1 (pow.f64 x 2)) 1/3))) (pow.f64 (*.f64 1 x) 1/3))) (+.f64 (*.f64 (pow.f64 (*.f64 1 x) 1/3) (+.f64 (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 x) 1/3) (-.f64 (*.f64 -1/720 x) (+.f64 (*.f64 -1/3 (-.f64 (*.f64 1/24 x) (*.f64 1/12 x))) (*.f64 -1/216 x))))) (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 1 x) 1/3) (-.f64 (*.f64 1/24 x) (*.f64 1/12 x)))))) (+.f64 (*.f64 1/3 (*.f64 (-.f64 (*.f64 -1/720 x) (+.f64 (*.f64 -1/3 (-.f64 (*.f64 1/24 x) (*.f64 1/12 x))) (*.f64 -1/216 x))) (pow.f64 1 1/3))) (*.f64 -1/9 (*.f64 (pow.f64 1 1/3) (-.f64 (*.f64 1/24 x) (*.f64 1/12 x))))))) (pow.f64 y 6)) (+.f64 (*.f64 (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 1 1/3) x)) (*.f64 -1/6 (*.f64 (pow.f64 1 1/3) x))) (pow.f64 y 2)) (*.f64 (pow.f64 y 4) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 1 1/3) (-.f64 (*.f64 1/24 x) (*.f64 1/12 x)))) (+.f64 (*.f64 1/18 (*.f64 (pow.f64 1 1/3) x)) (*.f64 (+.f64 (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 x) 1/3) (-.f64 (*.f64 1/24 x) (*.f64 1/12 x)))) (*.f64 1/36 (pow.f64 (*.f64 1 (pow.f64 x 2)) 1/3))) (pow.f64 (*.f64 1 x) 1/3)))))))) |
(+.f64 x (fma.f64 (fma.f64 -1/6 (*.f64 (fma.f64 2/3 (*.f64 (*.f64 x -1/24) (cbrt.f64 (/.f64 1 x))) (*.f64 1/36 (cbrt.f64 (*.f64 x x)))) (cbrt.f64 x)) (fma.f64 (cbrt.f64 x) (fma.f64 2/3 (*.f64 (cbrt.f64 (/.f64 1 x)) (-.f64 (*.f64 x -1/720) (fma.f64 -1/3 (*.f64 x -1/24) (*.f64 x -1/216)))) (*.f64 (*.f64 (*.f64 x -1/24) (cbrt.f64 (/.f64 1 x))) -1/9)) (fma.f64 1/3 (*.f64 1 (-.f64 (*.f64 x -1/720) (fma.f64 -1/3 (*.f64 x -1/24) (*.f64 x -1/216)))) (*.f64 -1/9 (*.f64 x -1/24))))) (pow.f64 y 6) (fma.f64 (*.f64 x -1/2) (*.f64 y y) (*.f64 (pow.f64 y 4) (+.f64 (*.f64 1/3 (*.f64 x -1/24)) (fma.f64 1/18 x (*.f64 (fma.f64 2/3 (*.f64 (*.f64 x -1/24) (cbrt.f64 (/.f64 1 x))) (*.f64 1/36 (cbrt.f64 (*.f64 x x)))) (cbrt.f64 x)))))))) |
(+.f64 x (fma.f64 (+.f64 (fma.f64 1/3 (-.f64 (*.f64 x -1/720) (fma.f64 x -1/216 (*.f64 x 1/72))) (*.f64 (*.f64 -1/9 x) -1/24)) (*.f64 (cbrt.f64 x) (+.f64 (*.f64 -1/6 (fma.f64 2/3 (*.f64 x (*.f64 -1/24 (cbrt.f64 (/.f64 1 x)))) (*.f64 1/36 (cbrt.f64 (*.f64 x x))))) (fma.f64 (*.f64 2/3 (cbrt.f64 (/.f64 1 x))) (-.f64 (*.f64 x -1/720) (fma.f64 x -1/216 (*.f64 x 1/72))) (*.f64 (cbrt.f64 (/.f64 1 x)) (*.f64 (*.f64 -1/9 x) -1/24)))))) (pow.f64 y 6) (fma.f64 (pow.f64 y 4) (fma.f64 1/3 (*.f64 x -1/24) (fma.f64 (fma.f64 2/3 (*.f64 x (*.f64 -1/24 (cbrt.f64 (/.f64 1 x)))) (*.f64 1/36 (cbrt.f64 (*.f64 x x)))) (cbrt.f64 x) (*.f64 x 1/18))) (*.f64 x (*.f64 -1/2 (*.f64 y y)))))) |
(+.f64 x (fma.f64 (+.f64 (fma.f64 1/3 (+.f64 (*.f64 x -11/720) (*.f64 x 1/216)) (*.f64 -1/24 (*.f64 x -1/9))) (*.f64 (cbrt.f64 x) (+.f64 (*.f64 (cbrt.f64 (/.f64 1 x)) (+.f64 (*.f64 2/3 (+.f64 (*.f64 x -11/720) (*.f64 x 1/216))) (*.f64 -1/24 (*.f64 x -1/9)))) (*.f64 -1/6 (fma.f64 (*.f64 2/3 (cbrt.f64 (/.f64 1 x))) (*.f64 x -1/24) (*.f64 1/36 (cbrt.f64 (*.f64 x x)))))))) (pow.f64 y 6) (fma.f64 (pow.f64 y 4) (+.f64 (*.f64 x -1/72) (fma.f64 (fma.f64 (*.f64 2/3 (cbrt.f64 (/.f64 1 x))) (*.f64 x -1/24) (*.f64 1/36 (cbrt.f64 (*.f64 x x)))) (cbrt.f64 x) (*.f64 x 1/18))) (*.f64 x (*.f64 (*.f64 y y) -1/2))))) |
(+.f64 x (fma.f64 (+.f64 (fma.f64 1/3 (fma.f64 x 7/2160 (*.f64 x -1/72)) (*.f64 -1/24 (*.f64 x -1/9))) (*.f64 (cbrt.f64 x) (+.f64 (*.f64 (cbrt.f64 (/.f64 1 x)) (+.f64 (*.f64 2/3 (fma.f64 x 7/2160 (*.f64 x -1/72))) (*.f64 -1/24 (*.f64 x -1/9)))) (*.f64 -1/6 (fma.f64 (*.f64 2/3 (cbrt.f64 (/.f64 1 x))) (*.f64 x -1/24) (*.f64 1/36 (cbrt.f64 (*.f64 x x)))))))) (pow.f64 y 6) (fma.f64 (pow.f64 y 4) (+.f64 (*.f64 x -1/72) (fma.f64 (fma.f64 (*.f64 2/3 (cbrt.f64 (/.f64 1 x))) (*.f64 x -1/24) (*.f64 1/36 (cbrt.f64 (*.f64 x x)))) (cbrt.f64 x) (*.f64 x 1/18))) (*.f64 x (*.f64 (*.f64 y y) -1/2))))) |
(*.f64 (pow.f64 1 1/3) (*.f64 (cos.f64 y) x)) |
(*.f64 1 (*.f64 x (cos.f64 y))) |
(*.f64 x (cos.f64 y)) |
(*.f64 (pow.f64 1 1/3) (*.f64 (cos.f64 y) x)) |
(*.f64 1 (*.f64 x (cos.f64 y))) |
(*.f64 x (cos.f64 y)) |
(*.f64 (pow.f64 1 1/3) (*.f64 (cos.f64 y) x)) |
(*.f64 1 (*.f64 x (cos.f64 y))) |
(*.f64 x (cos.f64 y)) |
(*.f64 (pow.f64 1 1/3) (*.f64 (cos.f64 y) x)) |
(*.f64 1 (*.f64 x (cos.f64 y))) |
(*.f64 x (cos.f64 y)) |
(*.f64 (pow.f64 1 1/3) (*.f64 (cos.f64 y) x)) |
(*.f64 1 (*.f64 x (cos.f64 y))) |
(*.f64 x (cos.f64 y)) |
(*.f64 (pow.f64 1 1/3) (*.f64 (cos.f64 y) x)) |
(*.f64 1 (*.f64 x (cos.f64 y))) |
(*.f64 x (cos.f64 y)) |
(*.f64 (pow.f64 1 1/3) (*.f64 (cos.f64 y) x)) |
(*.f64 1 (*.f64 x (cos.f64 y))) |
(*.f64 x (cos.f64 y)) |
(*.f64 (pow.f64 1 1/3) (*.f64 (cos.f64 y) x)) |
(*.f64 1 (*.f64 x (cos.f64 y))) |
(*.f64 x (cos.f64 y)) |
(pow.f64 x 1/3) |
(cbrt.f64 x) |
(+.f64 (pow.f64 x 1/3) (*.f64 -1/6 (*.f64 (pow.f64 (*.f64 1 x) 1/3) (pow.f64 y 2)))) |
(+.f64 (cbrt.f64 x) (*.f64 -1/6 (*.f64 (*.f64 y y) (cbrt.f64 x)))) |
(fma.f64 -1/6 (*.f64 (*.f64 y y) (cbrt.f64 x)) (cbrt.f64 x)) |
(*.f64 (+.f64 (*.f64 -1/6 (*.f64 y y)) 1) (cbrt.f64 x)) |
(+.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 4) (-.f64 (*.f64 1/24 x) (*.f64 1/12 x))))) (*.f64 -1/6 (*.f64 (pow.f64 (*.f64 1 x) 1/3) (pow.f64 y 2))))) |
(+.f64 (cbrt.f64 x) (fma.f64 1/3 (*.f64 (cbrt.f64 (/.f64 1 (*.f64 x x))) (*.f64 (pow.f64 y 4) (*.f64 x -1/24))) (*.f64 -1/6 (*.f64 (*.f64 y y) (cbrt.f64 x))))) |
(+.f64 (cbrt.f64 x) (fma.f64 1/3 (*.f64 (cbrt.f64 (/.f64 1 (*.f64 x x))) (*.f64 x (*.f64 -1/24 (pow.f64 y 4)))) (*.f64 -1/6 (*.f64 (*.f64 y y) (cbrt.f64 x))))) |
(+.f64 (*.f64 (*.f64 x -1/72) (*.f64 (pow.f64 y 4) (cbrt.f64 (/.f64 1 (*.f64 x x))))) (*.f64 (+.f64 (*.f64 -1/6 (*.f64 y y)) 1) (cbrt.f64 x))) |
(+.f64 (pow.f64 x 1/3) (+.f64 (*.f64 1/3 (*.f64 (*.f64 (-.f64 (*.f64 -1/720 x) (+.f64 (*.f64 -1/3 (-.f64 (*.f64 1/24 x) (*.f64 1/12 x))) (*.f64 -1/216 x))) (pow.f64 y 6)) (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3))) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3) (*.f64 (pow.f64 y 4) (-.f64 (*.f64 1/24 x) (*.f64 1/12 x))))) (*.f64 -1/6 (*.f64 (pow.f64 (*.f64 1 x) 1/3) (pow.f64 y 2)))))) |
(+.f64 (cbrt.f64 x) (fma.f64 1/3 (*.f64 (-.f64 (*.f64 x -1/720) (fma.f64 -1/3 (*.f64 x -1/24) (*.f64 x -1/216))) (*.f64 (pow.f64 y 6) (cbrt.f64 (/.f64 1 (*.f64 x x))))) (fma.f64 1/3 (*.f64 (cbrt.f64 (/.f64 1 (*.f64 x x))) (*.f64 (pow.f64 y 4) (*.f64 x -1/24))) (*.f64 -1/6 (*.f64 (*.f64 y y) (cbrt.f64 x)))))) |
(+.f64 (*.f64 1/3 (+.f64 (*.f64 (-.f64 (*.f64 x -1/720) (fma.f64 x -1/216 (*.f64 x 1/72))) (*.f64 (pow.f64 y 6) (cbrt.f64 (/.f64 1 (*.f64 x x))))) (*.f64 (cbrt.f64 (/.f64 1 (*.f64 x x))) (*.f64 x (*.f64 -1/24 (pow.f64 y 4)))))) (fma.f64 -1/6 (*.f64 (*.f64 y y) (cbrt.f64 x)) (cbrt.f64 x))) |
(+.f64 (*.f64 1/3 (*.f64 (cbrt.f64 (/.f64 1 (*.f64 x x))) (+.f64 (*.f64 (+.f64 (*.f64 x -11/720) (*.f64 x 1/216)) (pow.f64 y 6)) (*.f64 x (*.f64 (pow.f64 y 4) -1/24))))) (*.f64 (+.f64 (*.f64 -1/6 (*.f64 y y)) 1) (cbrt.f64 x))) |
(+.f64 (*.f64 1/3 (*.f64 (cbrt.f64 (/.f64 1 (*.f64 x x))) (+.f64 (*.f64 (fma.f64 x 7/2160 (*.f64 x -1/72)) (pow.f64 y 6)) (*.f64 x (*.f64 (pow.f64 y 4) -1/24))))) (*.f64 (+.f64 (*.f64 -1/6 (*.f64 y y)) 1) (cbrt.f64 x))) |
(pow.f64 (*.f64 (cos.f64 y) x) 1/3) |
(cbrt.f64 (*.f64 x (cos.f64 y))) |
(pow.f64 (*.f64 (cos.f64 y) x) 1/3) |
(cbrt.f64 (*.f64 x (cos.f64 y))) |
(pow.f64 (*.f64 (cos.f64 y) x) 1/3) |
(cbrt.f64 (*.f64 x (cos.f64 y))) |
(pow.f64 (*.f64 (cos.f64 y) x) 1/3) |
(cbrt.f64 (*.f64 x (cos.f64 y))) |
(pow.f64 (*.f64 (cos.f64 y) x) 1/3) |
(cbrt.f64 (*.f64 x (cos.f64 y))) |
(pow.f64 (*.f64 (cos.f64 y) x) 1/3) |
(cbrt.f64 (*.f64 x (cos.f64 y))) |
(pow.f64 (*.f64 (cos.f64 y) x) 1/3) |
(cbrt.f64 (*.f64 x (cos.f64 y))) |
(pow.f64 (*.f64 (cos.f64 y) x) 1/3) |
(cbrt.f64 (*.f64 x (cos.f64 y))) |
(*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 z (sin.f64 y))) |
(*.f64 (sin.f64 y) (neg.f64 z)) |
(*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 z (sin.f64 y))) |
(*.f64 (sin.f64 y) (neg.f64 z)) |
(*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 z (sin.f64 y))) |
(*.f64 (sin.f64 y) (neg.f64 z)) |
(*.f64 (pow.f64 1 1/3) x) |
x |
(+.f64 (*.f64 -1 (*.f64 (pow.f64 1 1/3) (*.f64 y z))) (*.f64 (pow.f64 1 1/3) x)) |
(+.f64 x (*.f64 -1 (*.f64 y z))) |
(-.f64 x (*.f64 y z)) |
(+.f64 (*.f64 -1 (*.f64 (pow.f64 1 1/3) (*.f64 y z))) (+.f64 (*.f64 (pow.f64 1 1/3) x) (*.f64 (pow.f64 y 2) (+.f64 (*.f64 1/4 (*.f64 (pow.f64 1 1/3) (/.f64 (pow.f64 z 2) x))) (*.f64 (pow.f64 1 1/3) (-.f64 (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 1 1/3) x)) (*.f64 -1/6 (*.f64 (pow.f64 1 1/3) x))) (pow.f64 (*.f64 -1/2 (*.f64 (pow.f64 1 1/6) (*.f64 z (sqrt.f64 (/.f64 1 x))))) 2))))))) |
(+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 x (*.f64 (*.f64 y y) (+.f64 (*.f64 1/4 (/.f64 (*.f64 z z) x)) (*.f64 1 (-.f64 (*.f64 x -1/2) (pow.f64 (*.f64 -1/2 (*.f64 z (sqrt.f64 (/.f64 1 x)))) 2))))))) |
(-.f64 (fma.f64 (*.f64 y y) (fma.f64 1/4 (/.f64 z (/.f64 x z)) (-.f64 (*.f64 x -1/2) (pow.f64 (*.f64 z (*.f64 (sqrt.f64 (/.f64 1 x)) -1/2)) 2))) x) (*.f64 y z)) |
(-.f64 (fma.f64 (*.f64 y y) (fma.f64 1/4 (*.f64 z (/.f64 z x)) (-.f64 (*.f64 x -1/2) (pow.f64 (*.f64 z (*.f64 -1/2 (sqrt.f64 (/.f64 1 x)))) 2))) x) (*.f64 y z)) |
(+.f64 x (*.f64 y (-.f64 (*.f64 y (fma.f64 1/4 (*.f64 z (/.f64 z x)) (fma.f64 x -1/2 (*.f64 (*.f64 z (/.f64 z x)) -1/4)))) z))) |
(+.f64 (*.f64 -1 (*.f64 (pow.f64 1 1/3) (*.f64 y z))) (+.f64 (*.f64 (pow.f64 1 1/3) x) (+.f64 (*.f64 (pow.f64 y 2) (+.f64 (*.f64 1/4 (*.f64 (pow.f64 1 1/3) (/.f64 (pow.f64 z 2) x))) (*.f64 (pow.f64 1 1/3) (-.f64 (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 1 1/3) x)) (*.f64 -1/6 (*.f64 (pow.f64 1 1/3) x))) (pow.f64 (*.f64 -1/2 (*.f64 (pow.f64 1 1/6) (*.f64 z (sqrt.f64 (/.f64 1 x))))) 2))))) (*.f64 (pow.f64 y 3) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 1 1/3) (/.f64 (*.f64 z (-.f64 (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 1 1/3) x)) (*.f64 -1/6 (*.f64 (pow.f64 1 1/3) x))) (pow.f64 (*.f64 -1/2 (*.f64 (pow.f64 1 1/6) (*.f64 z (sqrt.f64 (/.f64 1 x))))) 2))) x))) (*.f64 -1 (*.f64 (pow.f64 1 1/3) (+.f64 (*.f64 -1/6 z) (*.f64 -1/2 (*.f64 (pow.f64 1 1/3) (/.f64 (*.f64 z (-.f64 (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 1 1/3) x)) (*.f64 -1/6 (*.f64 (pow.f64 1 1/3) x))) (pow.f64 (*.f64 -1/2 (*.f64 (pow.f64 1 1/6) (*.f64 z (sqrt.f64 (/.f64 1 x))))) 2))) x))))))))))) |
(+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 x (fma.f64 (*.f64 y y) (+.f64 (*.f64 1/4 (/.f64 (*.f64 z z) x)) (*.f64 1 (-.f64 (*.f64 x -1/2) (pow.f64 (*.f64 -1/2 (*.f64 z (sqrt.f64 (/.f64 1 x)))) 2)))) (*.f64 (pow.f64 y 3) (+.f64 (*.f64 -1/2 (/.f64 z (/.f64 x (-.f64 (*.f64 x -1/2) (pow.f64 (*.f64 -1/2 (*.f64 z (sqrt.f64 (/.f64 1 x)))) 2))))) (*.f64 -1 (fma.f64 -1/6 z (*.f64 -1/2 (/.f64 z (/.f64 x (-.f64 (*.f64 x -1/2) (pow.f64 (*.f64 -1/2 (*.f64 z (sqrt.f64 (/.f64 1 x)))) 2)))))))))))) |
(+.f64 (fma.f64 (pow.f64 y 3) (-.f64 (/.f64 (*.f64 -1/2 z) (/.f64 x (-.f64 (*.f64 x -1/2) (pow.f64 (*.f64 z (*.f64 (sqrt.f64 (/.f64 1 x)) -1/2)) 2)))) (fma.f64 -1/6 z (/.f64 (*.f64 -1/2 z) (/.f64 x (-.f64 (*.f64 x -1/2) (pow.f64 (*.f64 z (*.f64 (sqrt.f64 (/.f64 1 x)) -1/2)) 2)))))) (*.f64 y (*.f64 y (fma.f64 1/4 (/.f64 z (/.f64 x z)) (-.f64 (*.f64 x -1/2) (pow.f64 (*.f64 z (*.f64 (sqrt.f64 (/.f64 1 x)) -1/2)) 2)))))) (-.f64 x (*.f64 y z))) |
(+.f64 (*.f64 (*.f64 y y) (+.f64 (fma.f64 1/4 (*.f64 z (/.f64 z x)) (-.f64 (*.f64 x -1/2) (pow.f64 (*.f64 z (*.f64 -1/2 (sqrt.f64 (/.f64 1 x)))) 2))) (*.f64 y (-.f64 (*.f64 (/.f64 (*.f64 z -1/2) x) (-.f64 (*.f64 x -1/2) (pow.f64 (*.f64 z (*.f64 -1/2 (sqrt.f64 (/.f64 1 x)))) 2))) (fma.f64 -1/6 z (*.f64 (/.f64 (*.f64 z -1/2) x) (-.f64 (*.f64 x -1/2) (pow.f64 (*.f64 z (*.f64 -1/2 (sqrt.f64 (/.f64 1 x)))) 2)))))))) (-.f64 x (*.f64 y z))) |
(+.f64 x (+.f64 (*.f64 (pow.f64 y 3) (fma.f64 -1/2 (*.f64 z (/.f64 (fma.f64 x -1/2 (*.f64 (*.f64 z (/.f64 z x)) -1/4)) x)) (fma.f64 (*.f64 z (/.f64 (fma.f64 x -1/2 (*.f64 (*.f64 z (/.f64 z x)) -1/4)) x)) 1/2 (*.f64 z 1/6)))) (*.f64 y (-.f64 (*.f64 y (fma.f64 1/4 (*.f64 z (/.f64 z x)) (fma.f64 x -1/2 (*.f64 (*.f64 z (/.f64 z x)) -1/4)))) z)))) |
(-.f64 (*.f64 (pow.f64 1 1/3) (*.f64 (cos.f64 y) x)) (*.f64 z (sin.f64 y))) |
(fma.f64 1 (*.f64 x (cos.f64 y)) (neg.f64 (*.f64 z (sin.f64 y)))) |
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) (neg.f64 z))) |
(fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) (neg.f64 z))) |
(-.f64 (*.f64 (pow.f64 1 1/3) (*.f64 (cos.f64 y) x)) (*.f64 z (sin.f64 y))) |
(fma.f64 1 (*.f64 x (cos.f64 y)) (neg.f64 (*.f64 z (sin.f64 y)))) |
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) (neg.f64 z))) |
(fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) (neg.f64 z))) |
(-.f64 (*.f64 (pow.f64 1 1/3) (*.f64 (cos.f64 y) x)) (*.f64 z (sin.f64 y))) |
(fma.f64 1 (*.f64 x (cos.f64 y)) (neg.f64 (*.f64 z (sin.f64 y)))) |
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) (neg.f64 z))) |
(fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) (neg.f64 z))) |
(-.f64 (*.f64 (pow.f64 1 1/3) (*.f64 (cos.f64 y) x)) (*.f64 z (sin.f64 y))) |
(fma.f64 1 (*.f64 x (cos.f64 y)) (neg.f64 (*.f64 z (sin.f64 y)))) |
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) (neg.f64 z))) |
(fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) (neg.f64 z))) |
(-.f64 (*.f64 (pow.f64 1 1/3) (*.f64 (cos.f64 y) x)) (*.f64 z (sin.f64 y))) |
(fma.f64 1 (*.f64 x (cos.f64 y)) (neg.f64 (*.f64 z (sin.f64 y)))) |
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) (neg.f64 z))) |
(fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) (neg.f64 z))) |
(-.f64 (*.f64 (pow.f64 1 1/3) (*.f64 (cos.f64 y) x)) (*.f64 z (sin.f64 y))) |
(fma.f64 1 (*.f64 x (cos.f64 y)) (neg.f64 (*.f64 z (sin.f64 y)))) |
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) (neg.f64 z))) |
(fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) (neg.f64 z))) |
(-.f64 (*.f64 (pow.f64 1 1/3) (*.f64 (cos.f64 y) x)) (*.f64 z (sin.f64 y))) |
(fma.f64 1 (*.f64 x (cos.f64 y)) (neg.f64 (*.f64 z (sin.f64 y)))) |
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) (neg.f64 z))) |
(fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) (neg.f64 z))) |
(-.f64 (*.f64 (pow.f64 1 1/3) (*.f64 (cos.f64 y) x)) (*.f64 z (sin.f64 y))) |
(fma.f64 1 (*.f64 x (cos.f64 y)) (neg.f64 (*.f64 z (sin.f64 y)))) |
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) (neg.f64 z))) |
(fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) (neg.f64 z))) |
(*.f64 (pow.f64 1 1/3) (*.f64 (cos.f64 y) x)) |
(*.f64 1 (*.f64 x (cos.f64 y))) |
(*.f64 x (cos.f64 y)) |
(+.f64 (*.f64 -1 (*.f64 (pow.f64 1 1/3) (*.f64 z (sin.f64 y)))) (*.f64 (pow.f64 1 1/3) (*.f64 (cos.f64 y) x))) |
(fma.f64 1 (*.f64 x (cos.f64 y)) (neg.f64 (*.f64 z (sin.f64 y)))) |
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) (neg.f64 z))) |
(fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) (neg.f64 z))) |
(+.f64 (*.f64 -1 (*.f64 (pow.f64 1 1/3) (*.f64 z (sin.f64 y)))) (+.f64 (*.f64 (pow.f64 1 1/3) (*.f64 (cos.f64 y) x)) (*.f64 (pow.f64 z 2) (+.f64 (*.f64 1/4 (*.f64 (pow.f64 1 1/3) (/.f64 (pow.f64 (sin.f64 y) 2) (*.f64 (cos.f64 y) x)))) (*.f64 -1/4 (*.f64 (pow.f64 1 1/3) (/.f64 (pow.f64 (sin.f64 y) 2) (*.f64 (cos.f64 y) x)))))))) |
(fma.f64 1 (*.f64 x (cos.f64 y)) (neg.f64 (*.f64 z (sin.f64 y)))) |
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) (neg.f64 z))) |
(fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) (neg.f64 z))) |
(+.f64 (*.f64 -1 (*.f64 (pow.f64 1 1/3) (*.f64 z (sin.f64 y)))) (+.f64 (*.f64 (pow.f64 1 1/3) (*.f64 (cos.f64 y) x)) (+.f64 (*.f64 (pow.f64 z 2) (+.f64 (*.f64 1/4 (*.f64 (pow.f64 1 1/3) (/.f64 (pow.f64 (sin.f64 y) 2) (*.f64 (cos.f64 y) x)))) (*.f64 -1/4 (*.f64 (pow.f64 1 1/3) (/.f64 (pow.f64 (sin.f64 y) 2) (*.f64 (cos.f64 y) x)))))) (*.f64 (pow.f64 z 3) (+.f64 (*.f64 -1/8 (*.f64 (pow.f64 1 1/3) (/.f64 (pow.f64 (sin.f64 y) 3) (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2))))) (*.f64 1/8 (*.f64 (pow.f64 1 1/3) (/.f64 (pow.f64 (sin.f64 y) 3) (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)))))))))) |
(fma.f64 1 (*.f64 x (cos.f64 y)) (neg.f64 (*.f64 z (sin.f64 y)))) |
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) (neg.f64 z))) |
(fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) (neg.f64 z))) |
Compiled 19757 to 5934 computations (70% saved)
26 alts after pruning (20 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 879 | 5 | 884 |
| Fresh | 5 | 15 | 20 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 5 | 5 |
| Total | 884 | 26 | 910 |
| Status | Error | Program |
|---|---|---|
| ✓ | 35.2b | (pow.f64 (sqrt.f64 (-.f64 (pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) 3) (*.f64 z (sin.f64 y)))) 2) |
| ✓ | 0.4b | (fma.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (*.f64 (cbrt.f64 (cos.f64 y)) x) (*.f64 (sin.f64 y) (neg.f64 z))) |
| ✓ | 37.3b | (exp.f64 (log.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))) |
| 34.9b | (*.f64 (pow.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) 1/4) (pow.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) 3/4)) | |
| 33.2b | (fma.f64 (*.f64 (cos.f64 y) (sqrt.f64 x)) (sqrt.f64 x) (*.f64 (sin.f64 y) (neg.f64 z))) | |
| 46.0b | (-.f64 (+.f64 1 (+.f64 (*.f64 y z) x)) 1) | |
| ▶ | 41.4b | (pow.f64 (sqrt.f64 (-.f64 x (*.f64 z (sin.f64 y)))) 2) |
| ▶ | 35.1b | (pow.f64 (pow.f64 (pow.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) 1/4) 2) 2) |
| 34.2b | (/.f64 1 (/.f64 (+.f64 x (*.f64 z (sin.f64 y))) (-.f64 (*.f64 x x) (pow.f64 (*.f64 z (sin.f64 y)) 2)))) | |
| ✓ | 54.2b | (*.f64 y (neg.f64 z)) |
| ▶ | 0.6b | (+.f64 (*.f64 x (cos.f64 y)) (fma.f64 z (neg.f64 (sin.f64 y)) (fma.f64 z (neg.f64 (sin.f64 y)) (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 3)))) |
| 32.0b | (+.f64 x (*.f64 y (-.f64 (*.f64 x (*.f64 y -1/2)) z))) | |
| 1.4b | (fma.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 3) 2) (*.f64 (cbrt.f64 x) (cos.f64 y)) (*.f64 (sin.f64 y) (neg.f64 z))) | |
| 27.2b | (+.f64 (*.f64 x (cos.f64 y)) (fma.f64 z (neg.f64 (sin.f64 y)) (fma.f64 z (neg.f64 (sin.f64 y)) (pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 2)))) | |
| ✓ | 0.1b | (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| ▶ | 24.8b | (*.f64 x (cos.f64 y)) |
| 45.6b | (pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) x)) 2) | |
| 37.8b | x | |
| ✓ | 37.7b | (*.f64 z (neg.f64 (sin.f64 y))) |
| 14.4b | (fma.f64 (sqrt.f64 (cos.f64 y)) (*.f64 (sqrt.f64 (cos.f64 y)) x) (*.f64 (sin.f64 y) (neg.f64 z))) | |
| 39.1b | (*.f64 (+.f64 (*.f64 y z) x) 1) | |
| ▶ | 30.7b | (-.f64 x (*.f64 y z)) |
| 13.5b | (+.f64 x (fma.f64 z (neg.f64 (sin.f64 y)) (fma.f64 z (neg.f64 (sin.f64 y)) (*.f64 z (sin.f64 y))))) | |
| 30.7b | (fma.f64 y (neg.f64 z) x) | |
| 13.9b | (-.f64 x (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 3)) | |
| 43.5b | (pow.f64 (cbrt.f64 (pow.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) 3/2)) 2) |
Compiled 680 to 440 computations (35.3% saved)
Found 8 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.1b | (*.f64 x (cos.f64 y)) | |
| 0.1b | (*.f64 z (sin.f64 y)) | |
| 0.1b | (fma.f64 z (neg.f64 (sin.f64 y)) (fma.f64 z (neg.f64 (sin.f64 y)) (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 3))) | |
| 0.0b | (+.f64 (*.f64 x (cos.f64 y)) (fma.f64 z (neg.f64 (sin.f64 y)) (fma.f64 z (neg.f64 (sin.f64 y)) (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 3)))) | |
| 0.1b | (*.f64 x (cos.f64 y)) | |
| ✓ | 0.6b | (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 3) |
| ✓ | 7.1b | (cbrt.f64 (*.f64 z (sin.f64 y))) |
| ✓ | 52.3b | (fma.f64 z (neg.f64 (sin.f64 y)) (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 3)) |
Compiled 85 to 24 computations (71.8% saved)
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 20.0ms | y | @ | inf | (fma.f64 z (neg.f64 (sin.f64 y)) (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 3)) |
| 2.0ms | y | @ | -inf | (fma.f64 z (neg.f64 (sin.f64 y)) (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 3)) |
| 1.0ms | y | @ | 0 | (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 3) |
| 1.0ms | z | @ | 0 | (fma.f64 z (neg.f64 (sin.f64 y)) (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 3)) |
| 1.0ms | z | @ | -inf | (fma.f64 z (neg.f64 (sin.f64 y)) (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 3)) |
| 1× | batch-egg-rewrite |
| 765× | pow1_binary64 |
| 713× | add-log-exp_binary64 |
| 712× | log1p-expm1-u_binary64 |
| 712× | expm1-log1p-u_binary64 |
| 696× | add-exp-log_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 28 |
| 1 | 212 | 25 |
| 2 | 2286 | 25 |
| 1× | node limit |
| Inputs |
|---|
(fma.f64 z (neg.f64 (sin.f64 y)) (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 3)) |
(cbrt.f64 (*.f64 z (sin.f64 y))) |
(pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 3) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 z (sin.f64 y)) (*.f64 z (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 z (+.f64 (sin.f64 y) (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y)))) (cbrt.f64 (pow.f64 (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y))) 2)) (cbrt.f64 (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y)))) (sqrt.f64 (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (-.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2)) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y))))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (cbrt.f64 (*.f64 z (sin.f64 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (*.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 z) (cbrt.f64 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))) (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))) (pow.f64 (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2)) (cbrt.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 z (sin.f64 y)) 1/6) (pow.f64 (*.f64 z (sin.f64 y)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2) 1/3) (cbrt.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (*.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 1/3) (pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 z (sin.f64 y)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 z (sin.f64 y)) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 z (sin.f64 y))))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.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 (cbrt.f64 (*.f64 z (sin.f64 y))) (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 z (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2) (cbrt.f64 (*.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 z) (*.f64 (cbrt.f64 (sin.f64 y)) (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 z) 2) (*.f64 (cbrt.f64 z) (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2)) (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))) (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2)))))) (#(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 (*.f64 z (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)) 1/6) (*.f64 (pow.f64 (*.f64 z (sin.f64 y)) 1/6) (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2)))))) (#(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 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2)) 3) (cbrt.f64 (*.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (*.f64 z (sin.f64 y)) 1/6) 3) (pow.f64 (pow.f64 (*.f64 z (sin.f64 y)) 1/6) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 z -1) (sin.f64 y))))) (#(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) (pow.f64 (cbrt.f64 z) 2)) (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 (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2) 1) (cbrt.f64 (*.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2) (cbrt.f64 z)) (cbrt.f64 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2))) (cbrt.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2) (pow.f64 (*.f64 z (sin.f64 y)) 1/6)) (pow.f64 (*.f64 z (sin.f64 y)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 z (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 cbrt.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 z 3)))))) (#(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 expm1.f64 (log1p.f64 (*.f64 z (sin.f64 y)))))))) |
| 1× | egg-herbie |
| 624× | fma-def_binary64 |
| 565× | distribute-rgt-neg-in_binary64 |
| 496× | fma-neg_binary64 |
| 475× | cancel-sign-sub-inv_binary64 |
| 428× | distribute-lft-neg-in_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 28 | 282 |
| 1 | 83 | 190 |
| 2 | 218 | 183 |
| 3 | 580 | 183 |
| 4 | 1554 | 183 |
| 5 | 3239 | 183 |
| 6 | 4984 | 183 |
| 7 | 6462 | 183 |
| 8 | 7016 | 183 |
| 9 | 7584 | 183 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -1 (*.f64 z (sin.f64 y))) |
(*.f64 -1 (*.f64 z (sin.f64 y))) |
(*.f64 -1 (*.f64 z (sin.f64 y))) |
(*.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 (*.f64 z (sin.f64 y))) (*.f64 (pow.f64 1 1/3) (*.f64 z (sin.f64 y)))) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (pow.f64 1 1/3) (*.f64 z (sin.f64 y)))) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (pow.f64 1 1/3) (*.f64 z (sin.f64 y)))) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (pow.f64 1 1/3) (*.f64 z (sin.f64 y)))) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (pow.f64 1 1/3) (*.f64 z (sin.f64 y)))) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (pow.f64 1 1/3) (*.f64 z (sin.f64 y)))) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (pow.f64 1 1/3) (*.f64 z (sin.f64 y)))) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (pow.f64 1 1/3) (*.f64 z (sin.f64 y)))) |
(pow.f64 (*.f64 z (sin.f64 y)) 1/3) |
(pow.f64 (*.f64 z (sin.f64 y)) 1/3) |
(pow.f64 (*.f64 z (sin.f64 y)) 1/3) |
(pow.f64 (*.f64 z (sin.f64 y)) 1/3) |
(pow.f64 (*.f64 z (sin.f64 y)) 1/3) |
(pow.f64 (*.f64 z (sin.f64 y)) 1/3) |
(pow.f64 (*.f64 z (sin.f64 y)) 1/3) |
(pow.f64 (*.f64 z (sin.f64 y)) 1/3) |
(*.f64 (pow.f64 1 1/3) (*.f64 z (sin.f64 y))) |
(*.f64 (pow.f64 1 1/3) (*.f64 z (sin.f64 y))) |
(*.f64 (pow.f64 1 1/3) (*.f64 z (sin.f64 y))) |
(*.f64 (pow.f64 1 1/3) (*.f64 z (sin.f64 y))) |
(*.f64 (pow.f64 1 1/3) (*.f64 z (sin.f64 y))) |
(*.f64 (pow.f64 1 1/3) (*.f64 z (sin.f64 y))) |
(*.f64 (pow.f64 1 1/3) (*.f64 z (sin.f64 y))) |
(*.f64 (pow.f64 1 1/3) (*.f64 z (sin.f64 y))) |
| Outputs |
|---|
(*.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 y z)) |
(neg.f64 (*.f64 z y)) |
(*.f64 z (neg.f64 y)) |
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 1/6 (*.f64 (pow.f64 y 3) z))) |
(fma.f64 -1 (*.f64 z y) (*.f64 1/6 (*.f64 z (pow.f64 y 3)))) |
(*.f64 z (+.f64 (*.f64 1/6 (pow.f64 y 3)) (neg.f64 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 z y) (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 z y)) |
(*.f64 z (-.f64 (fma.f64 1/6 (pow.f64 y 3) (*.f64 -1/120 (pow.f64 y 5))) y)) |
(*.f64 z (-.f64 (fma.f64 -1/120 (pow.f64 y 5) (*.f64 1/6 (pow.f64 y 3))) 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 (*.f64 z (sin.f64 y))) (*.f64 (pow.f64 1 1/3) (*.f64 z (sin.f64 y)))) |
(*.f64 (*.f64 z (sin.f64 y)) 0) |
0 |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (pow.f64 1 1/3) (*.f64 z (sin.f64 y)))) |
(*.f64 (*.f64 z (sin.f64 y)) 0) |
0 |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (pow.f64 1 1/3) (*.f64 z (sin.f64 y)))) |
(*.f64 (*.f64 z (sin.f64 y)) 0) |
0 |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (pow.f64 1 1/3) (*.f64 z (sin.f64 y)))) |
(*.f64 (*.f64 z (sin.f64 y)) 0) |
0 |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (pow.f64 1 1/3) (*.f64 z (sin.f64 y)))) |
(*.f64 (*.f64 z (sin.f64 y)) 0) |
0 |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (pow.f64 1 1/3) (*.f64 z (sin.f64 y)))) |
(*.f64 (*.f64 z (sin.f64 y)) 0) |
0 |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (pow.f64 1 1/3) (*.f64 z (sin.f64 y)))) |
(*.f64 (*.f64 z (sin.f64 y)) 0) |
0 |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (pow.f64 1 1/3) (*.f64 z (sin.f64 y)))) |
(*.f64 (*.f64 z (sin.f64 y)) 0) |
0 |
(pow.f64 (*.f64 z (sin.f64 y)) 1/3) |
(cbrt.f64 (*.f64 z (sin.f64 y))) |
(pow.f64 (*.f64 z (sin.f64 y)) 1/3) |
(cbrt.f64 (*.f64 z (sin.f64 y))) |
(pow.f64 (*.f64 z (sin.f64 y)) 1/3) |
(cbrt.f64 (*.f64 z (sin.f64 y))) |
(pow.f64 (*.f64 z (sin.f64 y)) 1/3) |
(cbrt.f64 (*.f64 z (sin.f64 y))) |
(pow.f64 (*.f64 z (sin.f64 y)) 1/3) |
(cbrt.f64 (*.f64 z (sin.f64 y))) |
(pow.f64 (*.f64 z (sin.f64 y)) 1/3) |
(cbrt.f64 (*.f64 z (sin.f64 y))) |
(pow.f64 (*.f64 z (sin.f64 y)) 1/3) |
(cbrt.f64 (*.f64 z (sin.f64 y))) |
(pow.f64 (*.f64 z (sin.f64 y)) 1/3) |
(cbrt.f64 (*.f64 z (sin.f64 y))) |
(*.f64 (pow.f64 1 1/3) (*.f64 z (sin.f64 y))) |
(*.f64 (*.f64 z (sin.f64 y)) 1) |
(*.f64 z (sin.f64 y)) |
(*.f64 (pow.f64 1 1/3) (*.f64 z (sin.f64 y))) |
(*.f64 (*.f64 z (sin.f64 y)) 1) |
(*.f64 z (sin.f64 y)) |
(*.f64 (pow.f64 1 1/3) (*.f64 z (sin.f64 y))) |
(*.f64 (*.f64 z (sin.f64 y)) 1) |
(*.f64 z (sin.f64 y)) |
(*.f64 (pow.f64 1 1/3) (*.f64 z (sin.f64 y))) |
(*.f64 (*.f64 z (sin.f64 y)) 1) |
(*.f64 z (sin.f64 y)) |
(*.f64 (pow.f64 1 1/3) (*.f64 z (sin.f64 y))) |
(*.f64 (*.f64 z (sin.f64 y)) 1) |
(*.f64 z (sin.f64 y)) |
(*.f64 (pow.f64 1 1/3) (*.f64 z (sin.f64 y))) |
(*.f64 (*.f64 z (sin.f64 y)) 1) |
(*.f64 z (sin.f64 y)) |
(*.f64 (pow.f64 1 1/3) (*.f64 z (sin.f64 y))) |
(*.f64 (*.f64 z (sin.f64 y)) 1) |
(*.f64 z (sin.f64 y)) |
(*.f64 (pow.f64 1 1/3) (*.f64 z (sin.f64 y))) |
(*.f64 (*.f64 z (sin.f64 y)) 1) |
(*.f64 z (sin.f64 y)) |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (-.f64 x (*.f64 y z)) | |
| ✓ | 0.0b | (-.f64 x (*.f64 y z)) |
Compiled 14 to 5 computations (64.3% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (-.f64 x (*.f64 y z)) |
| 0.0ms | z | @ | -inf | (-.f64 x (*.f64 y z)) |
| 0.0ms | x | @ | inf | (-.f64 x (*.f64 y z)) |
| 0.0ms | y | @ | -inf | (-.f64 x (*.f64 y z)) |
| 0.0ms | z | @ | 0 | (-.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 | 1857 | 7 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 x (*.f64 y z)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 y (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 (*.f64 y (neg.f64 z)) 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 y (neg.f64 z)) 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 y (neg.f64 z)) 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 y (neg.f64 z)) 3)) (+.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 y (neg.f64 z)) (*.f64 y (neg.f64 z))) (*.f64 x (*.f64 y (neg.f64 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 y (neg.f64 z)) (*.f64 y (neg.f64 z)))) (-.f64 x (*.f64 y (neg.f64 z))))))) (#(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 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 expm1.f64 (log1p.f64 (-.f64 x (*.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (*.f64 y (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 y (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 y (neg.f64 z))))))) |
| 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 | 195 | 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 (*.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 (*.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 (*.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 (*.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 (*.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 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.1b | (*.f64 x (cos.f64 y)) | |
| 0.1b | (*.f64 x (cos.f64 y)) |
Compiled 11 to 5 computations (54.5% saved)
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 0 | 0 |
| 1× | saturated |
| Inputs |
|---|
| Outputs |
|---|
Found 8 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.2b | (pow.f64 (sqrt.f64 (-.f64 x (*.f64 z (sin.f64 y)))) 2) | |
| 0.1b | (*.f64 z (sin.f64 y)) | |
| 0.0b | (sqrt.f64 (-.f64 x (*.f64 z (sin.f64 y)))) | |
| 0.0b | (-.f64 x (*.f64 z (sin.f64 y))) | |
| 0.0b | (-.f64 x (*.f64 z (sin.f64 y))) | |
| ✓ | 0.0b | (sqrt.f64 (-.f64 x (*.f64 z (sin.f64 y)))) |
| 0.1b | (*.f64 z (sin.f64 y)) | |
| ✓ | 0.2b | (pow.f64 (sqrt.f64 (-.f64 x (*.f64 z (sin.f64 y)))) 2) |
Compiled 35 to 10 computations (71.4% saved)
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | 0 | (pow.f64 (sqrt.f64 (-.f64 x (*.f64 z (sin.f64 y)))) 2) |
| 1.0ms | x | @ | -inf | (pow.f64 (sqrt.f64 (-.f64 x (*.f64 z (sin.f64 y)))) 2) |
| 1.0ms | z | @ | inf | (pow.f64 (sqrt.f64 (-.f64 x (*.f64 z (sin.f64 y)))) 2) |
| 1.0ms | x | @ | inf | (pow.f64 (sqrt.f64 (-.f64 x (*.f64 z (sin.f64 y)))) 2) |
| 1.0ms | z | @ | -inf | (pow.f64 (sqrt.f64 (-.f64 x (*.f64 z (sin.f64 y)))) 2) |
| 1× | batch-egg-rewrite |
| 979× | pow1_binary64 |
| 908× | add-log-exp_binary64 |
| 907× | log1p-expm1-u_binary64 |
| 907× | expm1-log1p-u_binary64 |
| 101× | add-sqr-sqrt_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 20 |
| 1 | 216 | 20 |
| 2 | 2513 | 20 |
| 1× | node limit |
| Inputs |
|---|
(pow.f64 (sqrt.f64 (-.f64 x (*.f64 z (sin.f64 y)))) 2) |
(sqrt.f64 (-.f64 x (*.f64 z (sin.f64 y)))) |
| Outputs |
|---|
((#(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 (*.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)))) (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 z (neg.f64 (sin.f64 y))) x)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 x (*.f64 z (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (-.f64 x (*.f64 z (sin.f64 y))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 x 3) (fma.f64 x x (*.f64 (*.f64 z (sin.f64 y)) (+.f64 x (*.f64 z (sin.f64 y)))))) (/.f64 (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) (+.f64 x (*.f64 z (sin.f64 y)))) (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (+.f64 x (*.f64 z (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 x (*.f64 z (sin.f64 y))) 1)))) (#(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 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)))) (cbrt.f64 (pow.f64 (-.f64 x (*.f64 z (sin.f64 y))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 x (*.f64 z (sin.f64 y)))) (*.f64 (cbrt.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 (cbrt.f64 (pow.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 (pow.f64 (-.f64 x (*.f64 z (sin.f64 y))) 1/4) (*.f64 (pow.f64 (-.f64 x (*.f64 z (sin.f64 y))) 1/4) (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 (-.f64 x (*.f64 z (sin.f64 y)))) (pow.f64 (-.f64 x (*.f64 z (sin.f64 y))) 1/4)) (pow.f64 (-.f64 x (*.f64 z (sin.f64 y))) 1/4))))) (#(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 (*.f64 (sqrt.f64 (-.f64 x (*.f64 z (sin.f64 y)))) (cbrt.f64 (-.f64 x (*.f64 z (sin.f64 y))))) (cbrt.f64 (sqrt.f64 (-.f64 x (*.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 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 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 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 expm1.f64 (log1p.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)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (-.f64 x (*.f64 z (sin.f64 y)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 x (*.f64 z (sin.f64 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (-.f64 x (*.f64 z (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (-.f64 x (*.f64 z (sin.f64 y))))) (cbrt.f64 (-.f64 x (*.f64 z (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 x (*.f64 z (sin.f64 y)))) (cbrt.f64 (sqrt.f64 (-.f64 x (*.f64 z (sin.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (-.f64 x (*.f64 z (sin.f64 y))) 1/4) (pow.f64 (-.f64 x (*.f64 z (sin.f64 y))) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (-.f64 x (*.f64 z (sin.f64 y))) 2))) (sqrt.f64 (cbrt.f64 (-.f64 x (*.f64 z (sin.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (-.f64 x (*.f64 z (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (-.f64 x (*.f64 z (sin.f64 y))) 2)) 1/2) (pow.f64 (cbrt.f64 (-.f64 x (*.f64 z (sin.f64 y)))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 z (sin.f64 y)) 3))) (sqrt.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 (sqrt.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 z (sin.f64 y)) 2))) (sqrt.f64 (+.f64 x (*.f64 z (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 x (*.f64 z (sin.f64 y))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.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))) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 x (*.f64 z (sin.f64 y))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 x (*.f64 z (sin.f64 y))) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (-.f64 x (*.f64 z (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (-.f64 x (*.f64 z (sin.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.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))) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (-.f64 x (*.f64 z (sin.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (-.f64 x (*.f64 z (sin.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (-.f64 x (*.f64 z (sin.f64 y)))))))))) |
| 1× | egg-herbie |
| 791× | associate-*l*_binary64 |
| 790× | associate-*r*_binary64 |
| 761× | fma-def_binary64 |
| 353× | associate-/r*_binary64 |
| 308× | *-commutative_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 148 | 1046 |
| 1 | 457 | 850 |
| 2 | 1546 | 769 |
| 3 | 7853 | 769 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 z (sin.f64 y))) |
(+.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 z (sin.f64 y))) x) |
(+.f64 (*.f64 (+.f64 (*.f64 1/64 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 6) (*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3))))) (+.f64 (*.f64 1/16 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 6) (*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3))))) (*.f64 -1 (+.f64 (*.f64 1/16 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 6) (*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3))))) (pow.f64 (*.f64 -1/8 (*.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)) (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3)))))) 2))))) (pow.f64 x 4)) (+.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 z (sin.f64 y))) x)) |
(+.f64 (*.f64 (+.f64 (*.f64 1/64 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 6) (*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3))))) (+.f64 (*.f64 1/16 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 6) (*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3))))) (*.f64 -1 (+.f64 (*.f64 1/16 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 6) (*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3))))) (pow.f64 (*.f64 -1/8 (*.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)) (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3)))))) 2))))) (pow.f64 x 4)) (+.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 z (sin.f64 y))) x)) |
x |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (*.f64 (+.f64 (*.f64 -1/4 (/.f64 (pow.f64 (sin.f64 y) 2) x)) (*.f64 1/4 (/.f64 (pow.f64 (sin.f64 y) 2) 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 x 2))) (*.f64 -1/8 (/.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 2)))) (pow.f64 z 3)) (+.f64 (*.f64 (+.f64 (*.f64 -1/4 (/.f64 (pow.f64 (sin.f64 y) 2) x)) (*.f64 1/4 (/.f64 (pow.f64 (sin.f64 y) 2) x))) (pow.f64 z 2)) x))) |
x |
(+.f64 (*.f64 -1 (*.f64 y z)) x) |
(+.f64 (*.f64 (+.f64 (*.f64 1/4 (/.f64 (pow.f64 z 2) x)) (*.f64 -1/4 (/.f64 (pow.f64 z 2) x))) (pow.f64 y 2)) (+.f64 (*.f64 -1 (*.f64 y z)) x)) |
(+.f64 (*.f64 (+.f64 (*.f64 1/4 (/.f64 (pow.f64 z 2) x)) (*.f64 -1/4 (/.f64 (pow.f64 z 2) x))) (pow.f64 y 2)) (+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 (+.f64 (*.f64 1/8 (/.f64 (pow.f64 z 3) (pow.f64 x 2))) (*.f64 -1 (+.f64 (*.f64 -1/6 z) (*.f64 1/8 (/.f64 (pow.f64 z 3) (pow.f64 x 2)))))) (pow.f64 y 3)) 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))) |
(*.f64 (sqrt.f64 -1) (sqrt.f64 (*.f64 z (sin.f64 y)))) |
(+.f64 (*.f64 1/2 (*.f64 (/.f64 x (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (*.f64 z (sin.f64 y)))))) (*.f64 (sqrt.f64 -1) (sqrt.f64 (*.f64 z (sin.f64 y))))) |
(+.f64 (*.f64 1/2 (*.f64 (/.f64 x (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (*.f64 z (sin.f64 y)))))) (+.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 (*.f64 z (sin.f64 y)))) (*.f64 -1/8 (*.f64 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 -1) 3)) (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3)))))))) |
(+.f64 (*.f64 1/2 (*.f64 (/.f64 x (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (*.f64 z (sin.f64 y)))))) (+.f64 (*.f64 1/16 (*.f64 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 5)) (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 z 5) (pow.f64 (sin.f64 y) 5)))))) (+.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 (*.f64 z (sin.f64 y)))) (*.f64 -1/8 (*.f64 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 -1) 3)) (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3))))))))) |
(sqrt.f64 x) |
(+.f64 (*.f64 -1/2 (*.f64 (*.f64 z (sin.f64 y)) (sqrt.f64 (/.f64 1 x)))) (sqrt.f64 x)) |
(+.f64 (*.f64 -1/2 (*.f64 (*.f64 z (sin.f64 y)) (sqrt.f64 (/.f64 1 x)))) (+.f64 (*.f64 -1/8 (*.f64 (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)) (sqrt.f64 (/.f64 1 (pow.f64 x 3))))) (sqrt.f64 x))) |
(+.f64 (*.f64 -1/2 (*.f64 (*.f64 z (sin.f64 y)) (sqrt.f64 (/.f64 1 x)))) (+.f64 (*.f64 -1/8 (*.f64 (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)) (sqrt.f64 (/.f64 1 (pow.f64 x 3))))) (+.f64 (sqrt.f64 x) (*.f64 -1/16 (*.f64 (*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3)) (sqrt.f64 (/.f64 1 (pow.f64 x 5)))))))) |
(sqrt.f64 x) |
(+.f64 (sqrt.f64 x) (*.f64 -1/2 (*.f64 (*.f64 y z) (sqrt.f64 (/.f64 1 x))))) |
(+.f64 (*.f64 -1/8 (*.f64 (*.f64 (pow.f64 y 2) (pow.f64 z 2)) (sqrt.f64 (/.f64 1 (pow.f64 x 3))))) (+.f64 (sqrt.f64 x) (*.f64 -1/2 (*.f64 (*.f64 y z) (sqrt.f64 (/.f64 1 x)))))) |
(+.f64 (*.f64 -1/8 (*.f64 (*.f64 (pow.f64 y 2) (pow.f64 z 2)) (sqrt.f64 (/.f64 1 (pow.f64 x 3))))) (+.f64 (*.f64 -1/2 (*.f64 (*.f64 (+.f64 (*.f64 -1/6 z) (*.f64 1/8 (/.f64 (pow.f64 z 3) (pow.f64 x 2)))) (pow.f64 y 3)) (sqrt.f64 (/.f64 1 x)))) (+.f64 (sqrt.f64 x) (*.f64 -1/2 (*.f64 (*.f64 y z) (sqrt.f64 (/.f64 1 x))))))) |
| Outputs |
|---|
(*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 z (sin.f64 y))) |
(*.f64 z (neg.f64 (sin.f64 y))) |
(+.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 z (sin.f64 y))) x) |
(fma.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 z (sin.f64 y)) x) |
(-.f64 x (*.f64 z (sin.f64 y))) |
(+.f64 (*.f64 (+.f64 (*.f64 1/64 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 6) (*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3))))) (+.f64 (*.f64 1/16 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 6) (*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3))))) (*.f64 -1 (+.f64 (*.f64 1/16 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 6) (*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3))))) (pow.f64 (*.f64 -1/8 (*.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)) (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3)))))) 2))))) (pow.f64 x 4)) (+.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 z (sin.f64 y))) x)) |
(fma.f64 (+.f64 (/.f64 1/64 (*.f64 (pow.f64 (sqrt.f64 -1) 6) (*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3)))) (+.f64 (/.f64 1/16 (*.f64 (pow.f64 (sqrt.f64 -1) 6) (*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3)))) (neg.f64 (+.f64 (/.f64 1/16 (*.f64 (pow.f64 (sqrt.f64 -1) 6) (*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3)))) (pow.f64 (*.f64 -1/8 (*.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)) (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3)))))) 2))))) (pow.f64 x 4) (fma.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 z (sin.f64 y)) x)) |
(fma.f64 (-.f64 (*.f64 (/.f64 -1 (*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3))) 5/64) (+.f64 (/.f64 -1/16 (*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3))) (pow.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 1 (pow.f64 z 3)) (pow.f64 (sin.f64 y) 3))) (*.f64 -1/8 (/.f64 -1 (sqrt.f64 -1)))) 2))) (pow.f64 x 4) (-.f64 x (*.f64 z (sin.f64 y)))) |
(fma.f64 (-.f64 (/.f64 (/.f64 -1/64 (pow.f64 z 3)) (pow.f64 (sin.f64 y) 3)) (pow.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 1 (pow.f64 z 3)) (pow.f64 (sin.f64 y) 3))) (/.f64 1/8 (sqrt.f64 -1))) 2)) (pow.f64 x 4) (-.f64 x (*.f64 z (sin.f64 y)))) |
(+.f64 (*.f64 (+.f64 (*.f64 1/64 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 6) (*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3))))) (+.f64 (*.f64 1/16 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 6) (*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3))))) (*.f64 -1 (+.f64 (*.f64 1/16 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 6) (*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3))))) (pow.f64 (*.f64 -1/8 (*.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)) (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3)))))) 2))))) (pow.f64 x 4)) (+.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 z (sin.f64 y))) x)) |
(fma.f64 (+.f64 (/.f64 1/64 (*.f64 (pow.f64 (sqrt.f64 -1) 6) (*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3)))) (+.f64 (/.f64 1/16 (*.f64 (pow.f64 (sqrt.f64 -1) 6) (*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3)))) (neg.f64 (+.f64 (/.f64 1/16 (*.f64 (pow.f64 (sqrt.f64 -1) 6) (*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3)))) (pow.f64 (*.f64 -1/8 (*.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)) (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3)))))) 2))))) (pow.f64 x 4) (fma.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 z (sin.f64 y)) x)) |
(fma.f64 (-.f64 (*.f64 (/.f64 -1 (*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3))) 5/64) (+.f64 (/.f64 -1/16 (*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3))) (pow.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 1 (pow.f64 z 3)) (pow.f64 (sin.f64 y) 3))) (*.f64 -1/8 (/.f64 -1 (sqrt.f64 -1)))) 2))) (pow.f64 x 4) (-.f64 x (*.f64 z (sin.f64 y)))) |
(fma.f64 (-.f64 (/.f64 (/.f64 -1/64 (pow.f64 z 3)) (pow.f64 (sin.f64 y) 3)) (pow.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 1 (pow.f64 z 3)) (pow.f64 (sin.f64 y) 3))) (/.f64 1/8 (sqrt.f64 -1))) 2)) (pow.f64 x 4) (-.f64 x (*.f64 z (sin.f64 y)))) |
x |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x) |
(fma.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 z (sin.f64 y)) x) |
(-.f64 x (*.f64 z (sin.f64 y))) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (*.f64 (+.f64 (*.f64 -1/4 (/.f64 (pow.f64 (sin.f64 y) 2) x)) (*.f64 1/4 (/.f64 (pow.f64 (sin.f64 y) 2) x))) (pow.f64 z 2)) x)) |
(fma.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 z (sin.f64 y)) x) |
(-.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 x 2))) (*.f64 -1/8 (/.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 2)))) (pow.f64 z 3)) (+.f64 (*.f64 (+.f64 (*.f64 -1/4 (/.f64 (pow.f64 (sin.f64 y) 2) x)) (*.f64 1/4 (/.f64 (pow.f64 (sin.f64 y) 2) x))) (pow.f64 z 2)) x))) |
(fma.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 z (sin.f64 y)) x) |
(-.f64 x (*.f64 z (sin.f64 y))) |
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) |
(+.f64 (*.f64 (+.f64 (*.f64 1/4 (/.f64 (pow.f64 z 2) x)) (*.f64 -1/4 (/.f64 (pow.f64 z 2) x))) (pow.f64 y 2)) (+.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) |
(+.f64 (*.f64 (+.f64 (*.f64 1/4 (/.f64 (pow.f64 z 2) x)) (*.f64 -1/4 (/.f64 (pow.f64 z 2) x))) (pow.f64 y 2)) (+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 (+.f64 (*.f64 1/8 (/.f64 (pow.f64 z 3) (pow.f64 x 2))) (*.f64 -1 (+.f64 (*.f64 -1/6 z) (*.f64 1/8 (/.f64 (pow.f64 z 3) (pow.f64 x 2)))))) (pow.f64 y 3)) x))) |
(fma.f64 (*.f64 (/.f64 (*.f64 z z) x) 0) (*.f64 y y) (fma.f64 -1 (*.f64 z y) (fma.f64 (fma.f64 1/8 (/.f64 (pow.f64 z 3) (*.f64 x x)) (neg.f64 (fma.f64 -1/6 z (*.f64 1/8 (/.f64 (pow.f64 z 3) (*.f64 x x)))))) (pow.f64 y 3) x))) |
(fma.f64 (*.f64 y y) 0 (-.f64 (fma.f64 (-.f64 (*.f64 1/8 (/.f64 (pow.f64 z 3) (*.f64 x x))) (fma.f64 1/8 (/.f64 (pow.f64 z 3) (*.f64 x x)) (*.f64 z -1/6))) (pow.f64 y 3) x) (*.f64 z y))) |
(fma.f64 (fma.f64 z 1/6 (*.f64 (/.f64 (pow.f64 z 3) (*.f64 x x)) 0)) (pow.f64 y 3) (fma.f64 y (neg.f64 z) x)) |
(-.f64 x (*.f64 z (sin.f64 y))) |
(fma.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 z (sin.f64 y)) x) |
(-.f64 x (*.f64 z (sin.f64 y))) |
(fma.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 z (sin.f64 y)) x) |
(-.f64 x (*.f64 z (sin.f64 y))) |
(fma.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 z (sin.f64 y)) x) |
(-.f64 x (*.f64 z (sin.f64 y))) |
(fma.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 z (sin.f64 y)) x) |
(-.f64 x (*.f64 z (sin.f64 y))) |
(fma.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 z (sin.f64 y)) x) |
(-.f64 x (*.f64 z (sin.f64 y))) |
(fma.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 z (sin.f64 y)) x) |
(-.f64 x (*.f64 z (sin.f64 y))) |
(fma.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 z (sin.f64 y)) x) |
(-.f64 x (*.f64 z (sin.f64 y))) |
(fma.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 z (sin.f64 y)) x) |
(*.f64 (sqrt.f64 -1) (sqrt.f64 (*.f64 z (sin.f64 y)))) |
(+.f64 (*.f64 1/2 (*.f64 (/.f64 x (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (*.f64 z (sin.f64 y)))))) (*.f64 (sqrt.f64 -1) (sqrt.f64 (*.f64 z (sin.f64 y))))) |
(fma.f64 1/2 (*.f64 (/.f64 x (sqrt.f64 -1)) (sqrt.f64 (/.f64 (/.f64 1 z) (sin.f64 y)))) (*.f64 (sqrt.f64 -1) (sqrt.f64 (*.f64 z (sin.f64 y))))) |
(fma.f64 (sqrt.f64 -1) (sqrt.f64 (*.f64 z (sin.f64 y))) (*.f64 (sqrt.f64 (/.f64 (/.f64 1 z) (sin.f64 y))) (*.f64 1/2 (/.f64 x (sqrt.f64 -1))))) |
(fma.f64 (sqrt.f64 -1) (sqrt.f64 (*.f64 z (sin.f64 y))) (*.f64 (sqrt.f64 (/.f64 1 (*.f64 z (sin.f64 y)))) (*.f64 1/2 (/.f64 x (sqrt.f64 -1))))) |
(+.f64 (*.f64 1/2 (*.f64 (/.f64 x (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (*.f64 z (sin.f64 y)))))) (+.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 (*.f64 z (sin.f64 y)))) (*.f64 -1/8 (*.f64 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 -1) 3)) (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3)))))))) |
(fma.f64 1/2 (*.f64 (/.f64 x (sqrt.f64 -1)) (sqrt.f64 (/.f64 (/.f64 1 z) (sin.f64 y)))) (fma.f64 (sqrt.f64 -1) (sqrt.f64 (*.f64 z (sin.f64 y))) (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3)))) (/.f64 (*.f64 x x) (pow.f64 (sqrt.f64 -1) 3)))))) |
(fma.f64 1/2 (*.f64 (/.f64 x (sqrt.f64 -1)) (sqrt.f64 (/.f64 (/.f64 1 z) (sin.f64 y)))) (fma.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 (/.f64 1 (pow.f64 z 3)) (pow.f64 (sin.f64 y) 3))) (/.f64 (/.f64 (*.f64 x x) -1) (sqrt.f64 -1))) (*.f64 (sqrt.f64 -1) (sqrt.f64 (*.f64 z (sin.f64 y)))))) |
(fma.f64 (sqrt.f64 -1) (sqrt.f64 (*.f64 z (sin.f64 y))) (fma.f64 (sqrt.f64 (/.f64 (/.f64 1 (pow.f64 z 3)) (pow.f64 (sin.f64 y) 3))) (*.f64 1/8 (/.f64 x (/.f64 (sqrt.f64 -1) x))) (*.f64 (sqrt.f64 (/.f64 1 (*.f64 z (sin.f64 y)))) (*.f64 1/2 (/.f64 x (sqrt.f64 -1)))))) |
(+.f64 (*.f64 1/2 (*.f64 (/.f64 x (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (*.f64 z (sin.f64 y)))))) (+.f64 (*.f64 1/16 (*.f64 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 5)) (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 z 5) (pow.f64 (sin.f64 y) 5)))))) (+.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 (*.f64 z (sin.f64 y)))) (*.f64 -1/8 (*.f64 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 -1) 3)) (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3))))))))) |
(fma.f64 1/2 (*.f64 (/.f64 x (sqrt.f64 -1)) (sqrt.f64 (/.f64 (/.f64 1 z) (sin.f64 y)))) (fma.f64 1/16 (*.f64 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 5)) (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 z 5) (pow.f64 (sin.f64 y) 5))))) (fma.f64 (sqrt.f64 -1) (sqrt.f64 (*.f64 z (sin.f64 y))) (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3)))) (/.f64 (*.f64 x x) (pow.f64 (sqrt.f64 -1) 3))))))) |
(fma.f64 1/2 (*.f64 (/.f64 x (sqrt.f64 -1)) (sqrt.f64 (/.f64 (/.f64 1 z) (sin.f64 y)))) (fma.f64 1/16 (*.f64 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 5)) (sqrt.f64 (/.f64 (/.f64 1 (pow.f64 z 5)) (pow.f64 (sin.f64 y) 5)))) (fma.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 (/.f64 1 (pow.f64 z 3)) (pow.f64 (sin.f64 y) 3))) (/.f64 (/.f64 (*.f64 x x) -1) (sqrt.f64 -1))) (*.f64 (sqrt.f64 -1) (sqrt.f64 (*.f64 z (sin.f64 y))))))) |
(fma.f64 1/16 (*.f64 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 5)) (sqrt.f64 (/.f64 (/.f64 1 (pow.f64 z 5)) (pow.f64 (sin.f64 y) 5)))) (fma.f64 (sqrt.f64 -1) (sqrt.f64 (*.f64 z (sin.f64 y))) (fma.f64 (sqrt.f64 (/.f64 (/.f64 1 (pow.f64 z 3)) (pow.f64 (sin.f64 y) 3))) (*.f64 1/8 (/.f64 x (/.f64 (sqrt.f64 -1) x))) (*.f64 (sqrt.f64 (/.f64 1 (*.f64 z (sin.f64 y)))) (*.f64 1/2 (/.f64 x (sqrt.f64 -1))))))) |
(sqrt.f64 x) |
(+.f64 (*.f64 -1/2 (*.f64 (*.f64 z (sin.f64 y)) (sqrt.f64 (/.f64 1 x)))) (sqrt.f64 x)) |
(fma.f64 -1/2 (*.f64 z (*.f64 (sin.f64 y) (sqrt.f64 (/.f64 1 x)))) (sqrt.f64 x)) |
(fma.f64 (*.f64 z -1/2) (*.f64 (sin.f64 y) (sqrt.f64 (/.f64 1 x))) (sqrt.f64 x)) |
(+.f64 (*.f64 -1/2 (*.f64 (*.f64 z (sin.f64 y)) (sqrt.f64 (/.f64 1 x)))) (+.f64 (*.f64 -1/8 (*.f64 (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)) (sqrt.f64 (/.f64 1 (pow.f64 x 3))))) (sqrt.f64 x))) |
(fma.f64 -1/2 (*.f64 z (*.f64 (sin.f64 y) (sqrt.f64 (/.f64 1 x)))) (fma.f64 -1/8 (*.f64 (*.f64 z z) (*.f64 (pow.f64 (sin.f64 y) 2) (sqrt.f64 (/.f64 1 (pow.f64 x 3))))) (sqrt.f64 x))) |
(fma.f64 -1/2 (*.f64 z (*.f64 (sin.f64 y) (sqrt.f64 (/.f64 1 x)))) (fma.f64 -1/8 (*.f64 (pow.f64 (sin.f64 y) 2) (*.f64 z (*.f64 z (sqrt.f64 (/.f64 1 (pow.f64 x 3)))))) (sqrt.f64 x))) |
(fma.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (*.f64 (pow.f64 (sin.f64 y) 2) (*.f64 -1/8 (*.f64 z z))) (fma.f64 (*.f64 z -1/2) (*.f64 (sin.f64 y) (sqrt.f64 (/.f64 1 x))) (sqrt.f64 x))) |
(+.f64 (*.f64 -1/2 (*.f64 (*.f64 z (sin.f64 y)) (sqrt.f64 (/.f64 1 x)))) (+.f64 (*.f64 -1/8 (*.f64 (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)) (sqrt.f64 (/.f64 1 (pow.f64 x 3))))) (+.f64 (sqrt.f64 x) (*.f64 -1/16 (*.f64 (*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3)) (sqrt.f64 (/.f64 1 (pow.f64 x 5)))))))) |
(fma.f64 -1/2 (*.f64 z (*.f64 (sin.f64 y) (sqrt.f64 (/.f64 1 x)))) (fma.f64 -1/8 (*.f64 (*.f64 z z) (*.f64 (pow.f64 (sin.f64 y) 2) (sqrt.f64 (/.f64 1 (pow.f64 x 3))))) (+.f64 (sqrt.f64 x) (*.f64 -1/16 (*.f64 (*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3)) (sqrt.f64 (/.f64 1 (pow.f64 x 5)))))))) |
(fma.f64 -1/2 (*.f64 z (*.f64 (sin.f64 y) (sqrt.f64 (/.f64 1 x)))) (fma.f64 -1/8 (*.f64 (pow.f64 (sin.f64 y) 2) (*.f64 z (*.f64 z (sqrt.f64 (/.f64 1 (pow.f64 x 3)))))) (fma.f64 -1/16 (*.f64 (pow.f64 (sin.f64 y) 3) (*.f64 (pow.f64 z 3) (sqrt.f64 (/.f64 1 (pow.f64 x 5))))) (sqrt.f64 x)))) |
(fma.f64 z (*.f64 (sin.f64 y) (*.f64 -1/2 (sqrt.f64 (/.f64 1 x)))) (fma.f64 (pow.f64 z 3) (*.f64 (pow.f64 (sin.f64 y) 3) (*.f64 -1/16 (sqrt.f64 (/.f64 1 (pow.f64 x 5))))) (fma.f64 -1/8 (*.f64 z (*.f64 (*.f64 z (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (pow.f64 (sin.f64 y) 2))) (sqrt.f64 x)))) |
(sqrt.f64 x) |
(+.f64 (sqrt.f64 x) (*.f64 -1/2 (*.f64 (*.f64 y z) (sqrt.f64 (/.f64 1 x))))) |
(+.f64 (sqrt.f64 x) (*.f64 (*.f64 -1/2 (*.f64 z y)) (sqrt.f64 (/.f64 1 x)))) |
(fma.f64 (*.f64 (*.f64 -1/2 z) y) (sqrt.f64 (/.f64 1 x)) (sqrt.f64 x)) |
(fma.f64 -1/2 (*.f64 (*.f64 z y) (sqrt.f64 (/.f64 1 x))) (sqrt.f64 x)) |
(+.f64 (*.f64 -1/8 (*.f64 (*.f64 (pow.f64 y 2) (pow.f64 z 2)) (sqrt.f64 (/.f64 1 (pow.f64 x 3))))) (+.f64 (sqrt.f64 x) (*.f64 -1/2 (*.f64 (*.f64 y z) (sqrt.f64 (/.f64 1 x)))))) |
(fma.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (*.f64 (*.f64 z z) (*.f64 y y))) (+.f64 (sqrt.f64 x) (*.f64 (*.f64 -1/2 (*.f64 z y)) (sqrt.f64 (/.f64 1 x))))) |
(fma.f64 (*.f64 (*.f64 -1/8 (*.f64 y y)) (*.f64 z z)) (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (fma.f64 (*.f64 (*.f64 -1/2 z) y) (sqrt.f64 (/.f64 1 x)) (sqrt.f64 x))) |
(fma.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (*.f64 z (*.f64 (*.f64 z (*.f64 y y)) -1/8)) (fma.f64 -1/2 (*.f64 (*.f64 z y) (sqrt.f64 (/.f64 1 x))) (sqrt.f64 x))) |
(+.f64 (*.f64 -1/8 (*.f64 (*.f64 (pow.f64 y 2) (pow.f64 z 2)) (sqrt.f64 (/.f64 1 (pow.f64 x 3))))) (+.f64 (*.f64 -1/2 (*.f64 (*.f64 (+.f64 (*.f64 -1/6 z) (*.f64 1/8 (/.f64 (pow.f64 z 3) (pow.f64 x 2)))) (pow.f64 y 3)) (sqrt.f64 (/.f64 1 x)))) (+.f64 (sqrt.f64 x) (*.f64 -1/2 (*.f64 (*.f64 y z) (sqrt.f64 (/.f64 1 x))))))) |
(fma.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (*.f64 (*.f64 z z) (*.f64 y y))) (fma.f64 -1/2 (*.f64 (fma.f64 -1/6 z (*.f64 1/8 (/.f64 (pow.f64 z 3) (*.f64 x x)))) (*.f64 (pow.f64 y 3) (sqrt.f64 (/.f64 1 x)))) (+.f64 (sqrt.f64 x) (*.f64 (*.f64 -1/2 (*.f64 z y)) (sqrt.f64 (/.f64 1 x)))))) |
(fma.f64 -1/8 (*.f64 (*.f64 z z) (*.f64 (*.f64 y y) (sqrt.f64 (/.f64 1 (pow.f64 x 3))))) (fma.f64 -1/2 (*.f64 (fma.f64 1/8 (/.f64 (pow.f64 z 3) (*.f64 x x)) (*.f64 z -1/6)) (*.f64 (pow.f64 y 3) (sqrt.f64 (/.f64 1 x)))) (fma.f64 (*.f64 (*.f64 -1/2 z) y) (sqrt.f64 (/.f64 1 x)) (sqrt.f64 x)))) |
(+.f64 (fma.f64 (*.f64 y y) (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (*.f64 -1/8 (*.f64 z z))) (sqrt.f64 x)) (*.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 x))) (+.f64 (*.f64 (fma.f64 (/.f64 1/8 x) (/.f64 (pow.f64 z 3) x) (*.f64 z -1/6)) (pow.f64 y 3)) (*.f64 z y)))) |
Found 8 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.1b | (*.f64 x (cos.f64 y)) | |
| 0.1b | (*.f64 z (sin.f64 y)) | |
| 0.0b | (pow.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) 1/4) | |
| 0.0b | (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) | |
| 0.1b | (*.f64 z (sin.f64 y)) | |
| 0.1b | (*.f64 x (cos.f64 y)) | |
| ✓ | 0.2b | (pow.f64 (pow.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) 1/4) 2) |
| ✓ | 0.2b | (pow.f64 (pow.f64 (pow.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) 1/4) 2) 2) |
Compiled 68 to 22 computations (67.6% saved)
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 67.0ms | y | @ | inf | (pow.f64 (pow.f64 (pow.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) 1/4) 2) 2) |
| 38.0ms | y | @ | -inf | (pow.f64 (pow.f64 (pow.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) 1/4) 2) 2) |
| 20.0ms | x | @ | inf | (pow.f64 (pow.f64 (pow.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) 1/4) 2) 2) |
| 9.0ms | z | @ | inf | (pow.f64 (pow.f64 (pow.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) 1/4) 2) 2) |
| 5.0ms | z | @ | -inf | (pow.f64 (pow.f64 (pow.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) 1/4) 2) 2) |
| 1× | batch-egg-rewrite |
| 646× | log-prod_binary64 |
| 447× | fma-def_binary64 |
| 350× | pow2_binary64 |
| 240× | expm1-udef_binary64 |
| 240× | log1p-udef_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 37 |
| 1 | 314 | 30 |
| 2 | 3772 | 30 |
| 1× | node limit |
| Inputs |
|---|
(pow.f64 (pow.f64 (pow.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) 1/4) 2) 2) |
(pow.f64 (pow.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) 1/4) 2) |
| Outputs |
|---|
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) 1/4) (pow.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) 1/6) (cbrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) 1/6) (*.f64 (pow.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) 1/12) (pow.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) (pow.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) 1/8) (*.f64 (pow.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) 1/8) (pow.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) 1/8) 3) (pow.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) 1/8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) 1/4) (pow.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) 1/6)) (pow.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) 1/12))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2))) (sqrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3))) (hypot.f64 (*.f64 x (cos.f64 y)) (sqrt.f64 (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 (sqrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) (sqrt.f64 (fma.f64 z (neg.f64 (sin.f64 y)) (*.f64 z (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) (sqrt.f64 (*.f64 (sin.f64 y) (neg.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 (sqrt.f64 (fma.f64 z (neg.f64 (sin.f64 y)) (*.f64 z (sin.f64 y)))) (sqrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 (sqrt.f64 (*.f64 (sin.f64 y) (neg.f64 z))) (sqrt.f64 (*.f64 x (cos.f64 y)))))))) |
| 1× | egg-herbie |
| 743× | associate-*r*_binary64 |
| 617× | fma-def_binary64 |
| 582× | times-frac_binary64 |
| 523× | associate-*l*_binary64 |
| 434× | associate-/l*_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 573 | 9256 |
| 1 | 2090 | 8251 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 z (sin.f64 y))) |
(+.f64 (*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 (cos.f64 y) x))) (*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 z (sin.f64 y)))) |
(+.f64 (*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 (cos.f64 y) x))) (+.f64 (*.f64 (+.f64 (*.f64 1/4 (/.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 (cos.f64 y) 2)) (*.f64 z (sin.f64 y)))) (*.f64 2 (*.f64 (*.f64 (sqrt.f64 -1) (+.f64 (*.f64 1/16 (*.f64 (*.f64 (sqrt.f64 -1) (pow.f64 (cos.f64 y) 2)) (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3)))))) (*.f64 2 (*.f64 (*.f64 (+.f64 (*.f64 1/32 (/.f64 (pow.f64 (cos.f64 y) 2) (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)))) (*.f64 -1/8 (/.f64 (pow.f64 (cos.f64 y) 2) (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))))) (sqrt.f64 -1)) (sqrt.f64 (*.f64 z (sin.f64 y))))))) (sqrt.f64 (*.f64 z (sin.f64 y)))))) (pow.f64 x 2)) (*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 z (sin.f64 y))))) |
(+.f64 (*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 (cos.f64 y) x))) (+.f64 (*.f64 (+.f64 (*.f64 1/4 (/.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 (cos.f64 y) 2)) (*.f64 z (sin.f64 y)))) (*.f64 2 (*.f64 (*.f64 (sqrt.f64 -1) (+.f64 (*.f64 1/16 (*.f64 (*.f64 (sqrt.f64 -1) (pow.f64 (cos.f64 y) 2)) (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3)))))) (*.f64 2 (*.f64 (*.f64 (+.f64 (*.f64 1/32 (/.f64 (pow.f64 (cos.f64 y) 2) (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)))) (*.f64 -1/8 (/.f64 (pow.f64 (cos.f64 y) 2) (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))))) (sqrt.f64 -1)) (sqrt.f64 (*.f64 z (sin.f64 y))))))) (sqrt.f64 (*.f64 z (sin.f64 y)))))) (pow.f64 x 2)) (+.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 z (sin.f64 y))) (*.f64 (pow.f64 x 3) (+.f64 (*.f64 -1 (*.f64 (*.f64 (sqrt.f64 -1) (*.f64 (+.f64 (*.f64 1/16 (*.f64 (*.f64 (sqrt.f64 -1) (pow.f64 (cos.f64 y) 2)) (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3)))))) (*.f64 2 (*.f64 (*.f64 (+.f64 (*.f64 1/32 (/.f64 (pow.f64 (cos.f64 y) 2) (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)))) (*.f64 -1/8 (/.f64 (pow.f64 (cos.f64 y) 2) (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))))) (sqrt.f64 -1)) (sqrt.f64 (*.f64 z (sin.f64 y)))))) (cos.f64 y))) (sqrt.f64 (/.f64 1 (*.f64 z (sin.f64 y)))))) (*.f64 2 (*.f64 (*.f64 (sqrt.f64 -1) (+.f64 (*.f64 -1/2 (*.f64 (*.f64 (sqrt.f64 -1) (*.f64 (+.f64 (*.f64 1/32 (/.f64 (pow.f64 (cos.f64 y) 2) (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)))) (*.f64 -1/8 (/.f64 (pow.f64 (cos.f64 y) 2) (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))))) (cos.f64 y))) (sqrt.f64 (/.f64 1 (*.f64 z (sin.f64 y)))))) (*.f64 2 (*.f64 (*.f64 (sqrt.f64 -1) (+.f64 (*.f64 -1/12 (/.f64 (pow.f64 (cos.f64 y) 3) (*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3)))) (+.f64 (*.f64 -1/384 (/.f64 (pow.f64 (cos.f64 y) 3) (*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3)))) (*.f64 1/32 (/.f64 (pow.f64 (cos.f64 y) 3) (*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3))))))) (sqrt.f64 (*.f64 z (sin.f64 y))))))) (sqrt.f64 (*.f64 z (sin.f64 y)))))))))) |
(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (cos.f64 y))))) 4) |
(+.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (cos.f64 y))))) 4) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (cos.f64 y))))) 4) (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x)))) |
(+.f64 (*.f64 1/4 (/.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (cos.f64 y))))) 4) (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))) (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)))) (+.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (cos.f64 y))))) 4) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (cos.f64 y))))) 4) (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))) (*.f64 2 (/.f64 (*.f64 (+.f64 (*.f64 1/16 (/.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (cos.f64 y))))) 2) (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))) (pow.f64 (cos.f64 y) 2))) (*.f64 2 (*.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (cos.f64 y))))) 2) (+.f64 (*.f64 1/32 (/.f64 (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)) (pow.f64 (cos.f64 y) 2))) (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)) (pow.f64 (cos.f64 y) 2))))))) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (cos.f64 y))))) 2)) (pow.f64 x 2)))))) |
(+.f64 (*.f64 2 (/.f64 (*.f64 (+.f64 (*.f64 2 (*.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (cos.f64 y))))) 2) (+.f64 (*.f64 1/32 (/.f64 (*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3)) (pow.f64 (cos.f64 y) 3))) (+.f64 (*.f64 -1/12 (/.f64 (*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3)) (pow.f64 (cos.f64 y) 3))) (*.f64 -1/384 (/.f64 (*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3)) (pow.f64 (cos.f64 y) 3))))))) (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (cos.f64 y))))) 2) (*.f64 z (*.f64 (+.f64 (*.f64 1/32 (/.f64 (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)) (pow.f64 (cos.f64 y) 2))) (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)) (pow.f64 (cos.f64 y) 2)))) (sin.f64 y)))) (cos.f64 y)))) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (cos.f64 y))))) 2)) (pow.f64 x 3))) (+.f64 (*.f64 1/4 (/.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (cos.f64 y))))) 4) (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))) (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)))) (+.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (cos.f64 y))))) 4) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 1/16 (/.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (cos.f64 y))))) 2) (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))) (pow.f64 (cos.f64 y) 2))) (*.f64 2 (*.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (cos.f64 y))))) 2) (+.f64 (*.f64 1/32 (/.f64 (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)) (pow.f64 (cos.f64 y) 2))) (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)) (pow.f64 (cos.f64 y) 2))))))) (*.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (cos.f64 y))))) 2) (*.f64 z (sin.f64 y)))) (*.f64 (cos.f64 y) (pow.f64 x 3)))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (cos.f64 y))))) 4) (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))) (*.f64 2 (/.f64 (*.f64 (+.f64 (*.f64 1/16 (/.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (cos.f64 y))))) 2) (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))) (pow.f64 (cos.f64 y) 2))) (*.f64 2 (*.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (cos.f64 y))))) 2) (+.f64 (*.f64 1/32 (/.f64 (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)) (pow.f64 (cos.f64 y) 2))) (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)) (pow.f64 (cos.f64 y) 2))))))) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (cos.f64 y))))) 2)) (pow.f64 x 2)))))))) |
(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -1 (cos.f64 y))) (*.f64 -1 (log.f64 (/.f64 -1 x)))))) 4) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -1 (cos.f64 y))) (*.f64 -1 (log.f64 (/.f64 -1 x)))))) 4) (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -1 (cos.f64 y))) (*.f64 -1 (log.f64 (/.f64 -1 x)))))) 4)) |
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x |
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(-.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))) |
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(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
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(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(*.f64 (cos.f64 y) x) |
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(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 z))) (log.f64 (neg.f64 (sin.f64 y)))))) 4) |
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(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -1 (cos.f64 y))) (*.f64 -1 (log.f64 (/.f64 -1 x)))))) 2) |
(+.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -1 (cos.f64 y))) (*.f64 -1 (log.f64 (/.f64 -1 x)))))) 2) (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -1 (cos.f64 y))) (*.f64 -1 (log.f64 (/.f64 -1 x)))))) 2) (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x)))) |
(+.f64 (*.f64 2 (/.f64 (*.f64 (+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)) (pow.f64 (cos.f64 y) 2))) (*.f64 1/32 (/.f64 (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)) (pow.f64 (cos.f64 y) 2)))) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -1 (cos.f64 y))) (*.f64 -1 (log.f64 (/.f64 -1 x)))))) 2)) (pow.f64 x 2))) (+.f64 (*.f64 1/16 (/.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -1 (cos.f64 y))) (*.f64 -1 (log.f64 (/.f64 -1 x)))))) 2) (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))) (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)))) (+.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -1 (cos.f64 y))) (*.f64 -1 (log.f64 (/.f64 -1 x)))))) 2) (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -1 (cos.f64 y))) (*.f64 -1 (log.f64 (/.f64 -1 x)))))) 2) (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x)))))) |
(+.f64 (*.f64 2 (/.f64 (*.f64 (+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)) (pow.f64 (cos.f64 y) 2))) (*.f64 1/32 (/.f64 (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)) (pow.f64 (cos.f64 y) 2)))) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -1 (cos.f64 y))) (*.f64 -1 (log.f64 (/.f64 -1 x)))))) 2)) (pow.f64 x 2))) (+.f64 (*.f64 1/16 (/.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -1 (cos.f64 y))) (*.f64 -1 (log.f64 (/.f64 -1 x)))))) 2) (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))) (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)))) (+.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -1 (cos.f64 y))) (*.f64 -1 (log.f64 (/.f64 -1 x)))))) 2) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -1 (cos.f64 y))) (*.f64 -1 (log.f64 (/.f64 -1 x)))))) 2) (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))) (*.f64 -1 (/.f64 (+.f64 (*.f64 2 (*.f64 (+.f64 (*.f64 1/384 (/.f64 (*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3)) (pow.f64 (cos.f64 y) 3))) (+.f64 (*.f64 1/12 (/.f64 (*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3)) (pow.f64 (cos.f64 y) 3))) (*.f64 -1/32 (/.f64 (*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3)) (pow.f64 (cos.f64 y) 3))))) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -1 (cos.f64 y))) (*.f64 -1 (log.f64 (/.f64 -1 x)))))) 2))) (*.f64 1/2 (/.f64 (*.f64 (+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)) (pow.f64 (cos.f64 y) 2))) (*.f64 1/32 (/.f64 (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)) (pow.f64 (cos.f64 y) 2)))) (*.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -1 (cos.f64 y))) (*.f64 -1 (log.f64 (/.f64 -1 x)))))) 2) (*.f64 z (sin.f64 y)))) (cos.f64 y)))) (pow.f64 x 3))))))) |
(sqrt.f64 x) |
(+.f64 (sqrt.f64 x) (*.f64 -1/2 (*.f64 (*.f64 y z) (sqrt.f64 (/.f64 1 x))))) |
(+.f64 (*.f64 (pow.f64 y 2) (+.f64 (*.f64 2 (*.f64 (+.f64 (*.f64 1/32 (/.f64 (pow.f64 z 2) (pow.f64 x 2))) (*.f64 1/8 (-.f64 (*.f64 -1 (/.f64 (pow.f64 z 2) (pow.f64 x 2))) 1))) (sqrt.f64 x))) (*.f64 1/16 (*.f64 (pow.f64 z 2) (sqrt.f64 (/.f64 1 (pow.f64 x 3))))))) (+.f64 (sqrt.f64 x) (*.f64 -1/2 (*.f64 (*.f64 y z) (sqrt.f64 (/.f64 1 x)))))) |
(+.f64 (*.f64 (+.f64 (*.f64 2 (*.f64 (+.f64 (*.f64 -1/384 (/.f64 (pow.f64 z 3) (pow.f64 x 3))) (+.f64 (*.f64 1/24 (+.f64 (*.f64 -3 (/.f64 z x)) (+.f64 (/.f64 z x) (*.f64 -2 (/.f64 (pow.f64 z 3) (pow.f64 x 3)))))) (*.f64 -1/32 (/.f64 (*.f64 (-.f64 (*.f64 -1 (/.f64 (pow.f64 z 2) (pow.f64 x 2))) 1) z) x)))) (sqrt.f64 x))) (+.f64 (*.f64 -1/4 (*.f64 (*.f64 z (+.f64 (*.f64 1/32 (/.f64 (pow.f64 z 2) (pow.f64 x 2))) (*.f64 1/8 (-.f64 (*.f64 -1 (/.f64 (pow.f64 z 2) (pow.f64 x 2))) 1)))) (sqrt.f64 (/.f64 1 x)))) (*.f64 -1/4 (*.f64 (*.f64 (+.f64 (*.f64 1/32 (/.f64 (pow.f64 z 2) (pow.f64 x 2))) (*.f64 1/8 (-.f64 (*.f64 -1 (/.f64 (pow.f64 z 2) (pow.f64 x 2))) 1))) z) (sqrt.f64 (/.f64 1 x)))))) (pow.f64 y 3)) (+.f64 (*.f64 (pow.f64 y 2) (+.f64 (*.f64 2 (*.f64 (+.f64 (*.f64 1/32 (/.f64 (pow.f64 z 2) (pow.f64 x 2))) (*.f64 1/8 (-.f64 (*.f64 -1 (/.f64 (pow.f64 z 2) (pow.f64 x 2))) 1))) (sqrt.f64 x))) (*.f64 1/16 (*.f64 (pow.f64 z 2) (sqrt.f64 (/.f64 1 (pow.f64 x 3))))))) (+.f64 (sqrt.f64 x) (*.f64 -1/2 (*.f64 (*.f64 y z) (sqrt.f64 (/.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 (*.f64 z (sin.f64 y)) (sqrt.f64 (/.f64 1 (*.f64 (cos.f64 y) x)))))) |
(+.f64 (sqrt.f64 (*.f64 (cos.f64 y) x)) (+.f64 (*.f64 (+.f64 (*.f64 2 (*.f64 (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 (sin.f64 y) 2) (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)))) (*.f64 1/32 (/.f64 (pow.f64 (sin.f64 y) 2) (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2))))) (sqrt.f64 (*.f64 (cos.f64 y) x)))) (*.f64 1/16 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3)))) (pow.f64 (sin.f64 y) 2)))) (pow.f64 z 2)) (*.f64 -1/2 (*.f64 (*.f64 z (sin.f64 y)) (sqrt.f64 (/.f64 1 (*.f64 (cos.f64 y) x))))))) |
(+.f64 (sqrt.f64 (*.f64 (cos.f64 y) x)) (+.f64 (*.f64 (+.f64 (*.f64 2 (*.f64 (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 (sin.f64 y) 2) (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)))) (*.f64 1/32 (/.f64 (pow.f64 (sin.f64 y) 2) (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2))))) (sqrt.f64 (*.f64 (cos.f64 y) x)))) (*.f64 1/16 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3)))) (pow.f64 (sin.f64 y) 2)))) (pow.f64 z 2)) (+.f64 (*.f64 -1/2 (*.f64 (*.f64 z (sin.f64 y)) (sqrt.f64 (/.f64 1 (*.f64 (cos.f64 y) x))))) (*.f64 (pow.f64 z 3) (+.f64 (*.f64 2 (*.f64 (sqrt.f64 (*.f64 (cos.f64 y) x)) (+.f64 (*.f64 -1/384 (/.f64 (pow.f64 (sin.f64 y) 3) (*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3)))) (+.f64 (*.f64 1/32 (/.f64 (pow.f64 (sin.f64 y) 3) (*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3)))) (*.f64 -1/12 (/.f64 (pow.f64 (sin.f64 y) 3) (*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3)))))))) (*.f64 -1/2 (*.f64 (*.f64 (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 (sin.f64 y) 2) (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)))) (*.f64 1/32 (/.f64 (pow.f64 (sin.f64 y) 2) (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2))))) (sin.f64 y)) (sqrt.f64 (/.f64 1 (*.f64 (cos.f64 y) x)))))))))) |
(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 z))) (log.f64 (neg.f64 (sin.f64 y)))))) 2) |
(+.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 z))) (log.f64 (neg.f64 (sin.f64 y)))))) 2) (*.f64 -1/2 (/.f64 (*.f64 (cos.f64 y) (*.f64 x (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 z))) (log.f64 (neg.f64 (sin.f64 y)))))) 2))) (*.f64 z (sin.f64 y))))) |
(+.f64 (*.f64 1/16 (/.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (*.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 z))) (log.f64 (neg.f64 (sin.f64 y)))))) 2) (pow.f64 x 2))) (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)))) (+.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 z))) (log.f64 (neg.f64 (sin.f64 y)))))) 2) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (cos.f64 y) (*.f64 x (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 z))) (log.f64 (neg.f64 (sin.f64 y)))))) 2))) (*.f64 z (sin.f64 y)))) (*.f64 2 (/.f64 (*.f64 (+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)) (pow.f64 (sin.f64 y) 2))) (*.f64 1/32 (/.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)) (pow.f64 (sin.f64 y) 2)))) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 z))) (log.f64 (neg.f64 (sin.f64 y)))))) 2)) (pow.f64 z 2)))))) |
(+.f64 (*.f64 1/16 (/.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (*.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 z))) (log.f64 (neg.f64 (sin.f64 y)))))) 2) (pow.f64 x 2))) (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)))) (+.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 z))) (log.f64 (neg.f64 (sin.f64 y)))))) 2) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (cos.f64 y) (*.f64 x (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 z))) (log.f64 (neg.f64 (sin.f64 y)))))) 2))) (*.f64 z (sin.f64 y)))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)) (pow.f64 (sin.f64 y) 2))) (*.f64 1/32 (/.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)) (pow.f64 (sin.f64 y) 2)))) (*.f64 (cos.f64 y) (*.f64 x (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 z))) (log.f64 (neg.f64 (sin.f64 y)))))) 2)))) (*.f64 (pow.f64 z 3) (sin.f64 y)))) (+.f64 (*.f64 2 (/.f64 (*.f64 (+.f64 (*.f64 -1/12 (/.f64 (*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3)) (pow.f64 (sin.f64 y) 3))) (+.f64 (*.f64 -1/384 (/.f64 (*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3)) (pow.f64 (sin.f64 y) 3))) (*.f64 1/32 (/.f64 (*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3)) (pow.f64 (sin.f64 y) 3))))) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 z))) (log.f64 (neg.f64 (sin.f64 y)))))) 2)) (pow.f64 z 3))) (*.f64 2 (/.f64 (*.f64 (+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)) (pow.f64 (sin.f64 y) 2))) (*.f64 1/32 (/.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)) (pow.f64 (sin.f64 y) 2)))) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 z))) (log.f64 (neg.f64 (sin.f64 y)))))) 2)) (pow.f64 z 2)))))))) |
(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 z))) (log.f64 (neg.f64 (*.f64 -1 (sin.f64 y))))))) 2) |
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 z))) (log.f64 (neg.f64 (*.f64 -1 (sin.f64 y))))))) 2) (*.f64 (cos.f64 y) x)) (*.f64 z (sin.f64 y)))) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 z))) (log.f64 (neg.f64 (*.f64 -1 (sin.f64 y))))))) 2)) |
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 z))) (log.f64 (neg.f64 (*.f64 -1 (sin.f64 y))))))) 2) (*.f64 (cos.f64 y) x)) (*.f64 z (sin.f64 y)))) (+.f64 (*.f64 2 (/.f64 (*.f64 (+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)) (pow.f64 (sin.f64 y) 2))) (*.f64 1/32 (/.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)) (pow.f64 (sin.f64 y) 2)))) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 z))) (log.f64 (neg.f64 (*.f64 -1 (sin.f64 y))))))) 2)) (pow.f64 z 2))) (+.f64 (*.f64 1/16 (/.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 z))) (log.f64 (neg.f64 (*.f64 -1 (sin.f64 y))))))) 2) (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2))) (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)))) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 z))) (log.f64 (neg.f64 (*.f64 -1 (sin.f64 y))))))) 2)))) |
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 z))) (log.f64 (neg.f64 (*.f64 -1 (sin.f64 y))))))) 2) (*.f64 (cos.f64 y) x)) (*.f64 z (sin.f64 y)))) (+.f64 (*.f64 2 (/.f64 (*.f64 (+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)) (pow.f64 (sin.f64 y) 2))) (*.f64 1/32 (/.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)) (pow.f64 (sin.f64 y) 2)))) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 z))) (log.f64 (neg.f64 (*.f64 -1 (sin.f64 y))))))) 2)) (pow.f64 z 2))) (+.f64 (*.f64 1/16 (/.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 z))) (log.f64 (neg.f64 (*.f64 -1 (sin.f64 y))))))) 2) (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2))) (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)))) (+.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 z))) (log.f64 (neg.f64 (*.f64 -1 (sin.f64 y))))))) 2) (*.f64 -1 (/.f64 (+.f64 (*.f64 2 (*.f64 (+.f64 (*.f64 1/12 (/.f64 (*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3)) (pow.f64 (sin.f64 y) 3))) (+.f64 (*.f64 -1/32 (/.f64 (*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3)) (pow.f64 (sin.f64 y) 3))) (*.f64 1/384 (/.f64 (*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3)) (pow.f64 (sin.f64 y) 3))))) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 z))) (log.f64 (neg.f64 (*.f64 -1 (sin.f64 y))))))) 2))) (*.f64 1/2 (/.f64 (*.f64 (+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)) (pow.f64 (sin.f64 y) 2))) (*.f64 1/32 (/.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)) (pow.f64 (sin.f64 y) 2)))) (*.f64 (cos.f64 y) (*.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 z))) (log.f64 (neg.f64 (*.f64 -1 (sin.f64 y))))))) 2) x))) (sin.f64 y)))) (pow.f64 z 3))))))) |
| Outputs |
|---|
(*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 z (sin.f64 y))) |
(*.f64 z (neg.f64 (sin.f64 y))) |
(+.f64 (*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 (cos.f64 y) x))) (*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 z (sin.f64 y)))) |
(fma.f64 -1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 (cos.f64 y) x)) (*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 z (sin.f64 y)))) |
(fma.f64 1 (*.f64 (cos.f64 y) x) (*.f64 z (neg.f64 (sin.f64 y)))) |
(+.f64 (*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 (cos.f64 y) x))) (+.f64 (*.f64 (+.f64 (*.f64 1/4 (/.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 (cos.f64 y) 2)) (*.f64 z (sin.f64 y)))) (*.f64 2 (*.f64 (*.f64 (sqrt.f64 -1) (+.f64 (*.f64 1/16 (*.f64 (*.f64 (sqrt.f64 -1) (pow.f64 (cos.f64 y) 2)) (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3)))))) (*.f64 2 (*.f64 (*.f64 (+.f64 (*.f64 1/32 (/.f64 (pow.f64 (cos.f64 y) 2) (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)))) (*.f64 -1/8 (/.f64 (pow.f64 (cos.f64 y) 2) (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))))) (sqrt.f64 -1)) (sqrt.f64 (*.f64 z (sin.f64 y))))))) (sqrt.f64 (*.f64 z (sin.f64 y)))))) (pow.f64 x 2)) (*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 z (sin.f64 y))))) |
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(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (cos.f64 y))))) 4) |
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(pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 x) (log.f64 (cos.f64 y)))) 4) |
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x |
(+.f64 (*.f64 -1 (*.f64 y z)) x) |
(fma.f64 -1 (*.f64 z y) x) |
(-.f64 x (*.f64 z y)) |
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(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 z))) (log.f64 (neg.f64 (sin.f64 y)))))) 4) |
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(sqrt.f64 x) |
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(fma.f64 (*.f64 (*.f64 -1/2 z) y) (sqrt.f64 (/.f64 1 x)) (sqrt.f64 x)) |
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(fma.f64 -1/2 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (fma.f64 -1 (log.f64 (/.f64 -1 z)) (log.f64 (*.f64 1 (sin.f64 y))))) 2) (/.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x))) (fma.f64 2 (/.f64 (*.f64 (/.f64 (pow.f64 (cos.f64 y) 2) (/.f64 (pow.f64 (sin.f64 y) 2) (*.f64 x x))) -3/32) (/.f64 (*.f64 z z) (pow.f64 (pow.f64 (exp.f64 1/4) (fma.f64 -1 (log.f64 (/.f64 -1 z)) (log.f64 (*.f64 1 (sin.f64 y))))) 2))) (fma.f64 1/16 (*.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (fma.f64 -1 (log.f64 (/.f64 -1 z)) (log.f64 (*.f64 1 (sin.f64 y))))) 2) (*.f64 z z)) (/.f64 (pow.f64 (cos.f64 y) 2) (/.f64 (pow.f64 (sin.f64 y) 2) (*.f64 x x)))) (pow.f64 (pow.f64 (exp.f64 1/4) (fma.f64 -1 (log.f64 (/.f64 -1 z)) (log.f64 (*.f64 1 (sin.f64 y))))) 2)))) |
(fma.f64 -1/2 (*.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (sin.f64 y)) (log.f64 (/.f64 -1 z)))) 2) z) (/.f64 (cos.f64 y) (/.f64 (sin.f64 y) x))) (fma.f64 2 (/.f64 (*.f64 (/.f64 (*.f64 x (*.f64 x (pow.f64 (cos.f64 y) 2))) (pow.f64 (sin.f64 y) 2)) -3/32) (/.f64 z (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (sin.f64 y)) (log.f64 (/.f64 -1 z)))) 2) z))) (fma.f64 1/16 (*.f64 (/.f64 (*.f64 x (*.f64 x (pow.f64 (cos.f64 y) 2))) (pow.f64 (sin.f64 y) 2)) (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (sin.f64 y)) (log.f64 (/.f64 -1 z)))) 2) (*.f64 z z))) (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (sin.f64 y)) (log.f64 (/.f64 -1 z)))) 2)))) |
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 z))) (log.f64 (neg.f64 (*.f64 -1 (sin.f64 y))))))) 2) (*.f64 (cos.f64 y) x)) (*.f64 z (sin.f64 y)))) (+.f64 (*.f64 2 (/.f64 (*.f64 (+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)) (pow.f64 (sin.f64 y) 2))) (*.f64 1/32 (/.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)) (pow.f64 (sin.f64 y) 2)))) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 z))) (log.f64 (neg.f64 (*.f64 -1 (sin.f64 y))))))) 2)) (pow.f64 z 2))) (+.f64 (*.f64 1/16 (/.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 z))) (log.f64 (neg.f64 (*.f64 -1 (sin.f64 y))))))) 2) (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2))) (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)))) (+.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 z))) (log.f64 (neg.f64 (*.f64 -1 (sin.f64 y))))))) 2) (*.f64 -1 (/.f64 (+.f64 (*.f64 2 (*.f64 (+.f64 (*.f64 1/12 (/.f64 (*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3)) (pow.f64 (sin.f64 y) 3))) (+.f64 (*.f64 -1/32 (/.f64 (*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3)) (pow.f64 (sin.f64 y) 3))) (*.f64 1/384 (/.f64 (*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3)) (pow.f64 (sin.f64 y) 3))))) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 z))) (log.f64 (neg.f64 (*.f64 -1 (sin.f64 y))))))) 2))) (*.f64 1/2 (/.f64 (*.f64 (+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)) (pow.f64 (sin.f64 y) 2))) (*.f64 1/32 (/.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)) (pow.f64 (sin.f64 y) 2)))) (*.f64 (cos.f64 y) (*.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 z))) (log.f64 (neg.f64 (*.f64 -1 (sin.f64 y))))))) 2) x))) (sin.f64 y)))) (pow.f64 z 3))))))) |
(fma.f64 -1/2 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (fma.f64 -1 (log.f64 (/.f64 -1 z)) (log.f64 (*.f64 1 (sin.f64 y))))) 2) (/.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x))) (fma.f64 2 (/.f64 (*.f64 (/.f64 (pow.f64 (cos.f64 y) 2) (/.f64 (pow.f64 (sin.f64 y) 2) (*.f64 x x))) -3/32) (/.f64 (*.f64 z z) (pow.f64 (pow.f64 (exp.f64 1/4) (fma.f64 -1 (log.f64 (/.f64 -1 z)) (log.f64 (*.f64 1 (sin.f64 y))))) 2))) (+.f64 (fma.f64 1/16 (*.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (fma.f64 -1 (log.f64 (/.f64 -1 z)) (log.f64 (*.f64 1 (sin.f64 y))))) 2) (*.f64 z z)) (/.f64 (pow.f64 (cos.f64 y) 2) (/.f64 (pow.f64 (sin.f64 y) 2) (*.f64 x x)))) (pow.f64 (pow.f64 (exp.f64 1/4) (fma.f64 -1 (log.f64 (/.f64 -1 z)) (log.f64 (*.f64 1 (sin.f64 y))))) 2)) (neg.f64 (/.f64 (fma.f64 2 (*.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (fma.f64 -1 (log.f64 (/.f64 -1 z)) (log.f64 (*.f64 1 (sin.f64 y))))) 2) (fma.f64 1/12 (/.f64 (*.f64 (pow.f64 x 3) (pow.f64 (cos.f64 y) 3)) (pow.f64 (sin.f64 y) 3)) (*.f64 (/.f64 (*.f64 (pow.f64 x 3) (pow.f64 (cos.f64 y) 3)) (pow.f64 (sin.f64 y) 3)) -11/384))) (*.f64 1/2 (/.f64 (*.f64 (/.f64 (pow.f64 (cos.f64 y) 2) (/.f64 (pow.f64 (sin.f64 y) 2) (*.f64 x x))) -3/32) (/.f64 (sin.f64 y) (*.f64 (cos.f64 y) (*.f64 x (pow.f64 (pow.f64 (exp.f64 1/4) (fma.f64 -1 (log.f64 (/.f64 -1 z)) (log.f64 (*.f64 1 (sin.f64 y))))) 2))))))) (pow.f64 z 3)))))) |
(fma.f64 -1/2 (*.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (sin.f64 y)) (log.f64 (/.f64 -1 z)))) 2) z) (/.f64 (cos.f64 y) (/.f64 (sin.f64 y) x))) (fma.f64 2 (/.f64 (*.f64 (/.f64 (*.f64 x (*.f64 x (pow.f64 (cos.f64 y) 2))) (pow.f64 (sin.f64 y) 2)) -3/32) (/.f64 z (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (sin.f64 y)) (log.f64 (/.f64 -1 z)))) 2) z))) (-.f64 (fma.f64 1/16 (*.f64 (/.f64 (*.f64 x (*.f64 x (pow.f64 (cos.f64 y) 2))) (pow.f64 (sin.f64 y) 2)) (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (sin.f64 y)) (log.f64 (/.f64 -1 z)))) 2) (*.f64 z z))) (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (sin.f64 y)) (log.f64 (/.f64 -1 z)))) 2)) (/.f64 (fma.f64 2 (*.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (sin.f64 y)) (log.f64 (/.f64 -1 z)))) 2) (*.f64 (*.f64 (/.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 (sin.f64 y) 3)) (pow.f64 x 3)) 7/128)) (/.f64 1/2 (/.f64 (sin.f64 y) (*.f64 (*.f64 (*.f64 (/.f64 (*.f64 x (*.f64 x (pow.f64 (cos.f64 y) 2))) (pow.f64 (sin.f64 y) 2)) (*.f64 -3/32 (cos.f64 y))) x) (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (sin.f64 y)) (log.f64 (/.f64 -1 z)))) 2))))) (pow.f64 z 3))))) |
Compiled 26485 to 12276 computations (53.6% saved)
27 alts after pruning (20 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 768 | 11 | 779 |
| Fresh | 6 | 9 | 15 |
| Picked | 1 | 0 | 1 |
| Done | 3 | 7 | 10 |
| Total | 778 | 27 | 805 |
| Status | Error | Program |
|---|---|---|
| ✓ | 35.2b | (pow.f64 (sqrt.f64 (-.f64 (pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) 3) (*.f64 z (sin.f64 y)))) 2) |
| ✓ | 0.4b | (fma.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (*.f64 (cbrt.f64 (cos.f64 y)) x) (*.f64 (sin.f64 y) (neg.f64 z))) |
| 47.0b | (exp.f64 (log.f64 (*.f64 x (cos.f64 y)))) | |
| 13.9b | (+.f64 x (fma.f64 z (neg.f64 (sin.f64 y)) (fma.f64 z (neg.f64 (sin.f64 y)) (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 3)))) | |
| 37.8b | x | |
| 52.6b | (pow.f64 (sqrt.f64 (*.f64 z (neg.f64 (sin.f64 y)))) 2) | |
| 34.2b | (/.f64 1 (/.f64 (+.f64 x (*.f64 z (sin.f64 y))) (-.f64 (*.f64 x x) (pow.f64 (*.f64 z (sin.f64 y)) 2)))) | |
| 46.0b | (-.f64 (+.f64 1 (+.f64 (*.f64 y z) x)) 1) | |
| 45.1b | (pow.f64 (pow.f64 (pow.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 y z)) 1/4) 2) 2) | |
| ✓ | 54.2b | (*.f64 y (neg.f64 z)) |
| 44.2b | (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 y (neg.f64 z)) (*.f64 y (neg.f64 z)))) (-.f64 x (*.f64 y (neg.f64 z)))) | |
| 32.0b | (+.f64 x (*.f64 y (-.f64 (*.f64 x (*.f64 y -1/2)) z))) | |
| 1.4b | (fma.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 3) 2) (*.f64 (cbrt.f64 x) (cos.f64 y)) (*.f64 (sin.f64 y) (neg.f64 z))) | |
| 45.6b | (pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) x)) 2) | |
| 27.2b | (+.f64 (*.f64 x (cos.f64 y)) (fma.f64 z (neg.f64 (sin.f64 y)) (fma.f64 z (neg.f64 (sin.f64 y)) (pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 2)))) | |
| ✓ | 30.7b | (-.f64 x (*.f64 y z)) |
| 14.4b | (fma.f64 (sqrt.f64 (cos.f64 y)) (*.f64 (sqrt.f64 (cos.f64 y)) x) (*.f64 (sin.f64 y) (neg.f64 z))) | |
| ✓ | 0.1b | (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 34.9b | (*.f64 (pow.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) 3/4) (pow.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) 1/4)) | |
| ✓ | 24.8b | (*.f64 x (cos.f64 y)) |
| 0.6b | (+.f64 (*.f64 x (cos.f64 y)) (fma.f64 z (neg.f64 (sin.f64 y)) (fma.f64 z (neg.f64 (sin.f64 y)) (*.f64 (cbrt.f64 z) (*.f64 (cbrt.f64 (sin.f64 y)) (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2)))))) | |
| ✓ | 37.7b | (*.f64 z (neg.f64 (sin.f64 y))) |
| 39.1b | (*.f64 (+.f64 (*.f64 y z) x) 1) | |
| 13.5b | (+.f64 x (fma.f64 z (neg.f64 (sin.f64 y)) (fma.f64 z (neg.f64 (sin.f64 y)) (*.f64 z (sin.f64 y))))) | |
| 33.2b | (fma.f64 (*.f64 (cos.f64 y) (sqrt.f64 x)) (sqrt.f64 x) (*.f64 (sin.f64 y) (neg.f64 z))) | |
| 30.7b | (fma.f64 y (neg.f64 z) x) | |
| 13.9b | (-.f64 x (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 3)) |
Compiled 409 to 258 computations (36.9% saved)
| Inputs |
|---|
x |
(*.f64 y (neg.f64 z)) |
(-.f64 x (*.f64 y z)) |
(*.f64 (+.f64 (*.f64 y z) x) 1) |
(-.f64 (+.f64 1 (+.f64 (*.f64 y z) x)) 1) |
(+.f64 x (*.f64 y (-.f64 (*.f64 x (*.f64 y -1/2)) z))) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 y (neg.f64 z)) (*.f64 y (neg.f64 z)))) (-.f64 x (*.f64 y (neg.f64 z)))) |
(*.f64 x (cos.f64 y)) |
(fma.f64 y (neg.f64 z) x) |
(*.f64 z (neg.f64 (sin.f64 y))) |
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(exp.f64 (log.f64 (*.f64 x (cos.f64 y)))) |
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) x)) 2) |
(pow.f64 (sqrt.f64 (*.f64 z (neg.f64 (sin.f64 y)))) 2) |
(-.f64 x (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 3)) |
(/.f64 1 (/.f64 (+.f64 x (*.f64 z (sin.f64 y))) (-.f64 (*.f64 x x) (pow.f64 (*.f64 z (sin.f64 y)) 2)))) |
(pow.f64 (pow.f64 (pow.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 y z)) 1/4) 2) 2) |
(fma.f64 (*.f64 (cos.f64 y) (sqrt.f64 x)) (sqrt.f64 x) (*.f64 (sin.f64 y) (neg.f64 z))) |
(+.f64 x (fma.f64 z (neg.f64 (sin.f64 y)) (fma.f64 z (neg.f64 (sin.f64 y)) (*.f64 z (sin.f64 y))))) |
(fma.f64 (sqrt.f64 (cos.f64 y)) (*.f64 (sqrt.f64 (cos.f64 y)) x) (*.f64 (sin.f64 y) (neg.f64 z))) |
(pow.f64 (sqrt.f64 (-.f64 (pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) 3) (*.f64 z (sin.f64 y)))) 2) |
(*.f64 (pow.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) 3/4) (pow.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) 1/4)) |
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (*.f64 (cbrt.f64 (cos.f64 y)) x) (*.f64 (sin.f64 y) (neg.f64 z))) |
(+.f64 x (fma.f64 z (neg.f64 (sin.f64 y)) (fma.f64 z (neg.f64 (sin.f64 y)) (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 3)))) |
(fma.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 3) 2) (*.f64 (cbrt.f64 x) (cos.f64 y)) (*.f64 (sin.f64 y) (neg.f64 z))) |
(+.f64 (*.f64 x (cos.f64 y)) (fma.f64 z (neg.f64 (sin.f64 y)) (fma.f64 z (neg.f64 (sin.f64 y)) (pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 2)))) |
(+.f64 (*.f64 x (cos.f64 y)) (fma.f64 z (neg.f64 (sin.f64 y)) (fma.f64 z (neg.f64 (sin.f64 y)) (*.f64 (cbrt.f64 z) (*.f64 (cbrt.f64 (sin.f64 y)) (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2)))))) |
| Outputs |
|---|
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
4 calls:
| 14.0ms | x |
| 14.0ms | y |
| 13.0ms | (-.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 355 to 132 computations (62.8% saved)
| Inputs |
|---|
x |
(*.f64 y (neg.f64 z)) |
(-.f64 x (*.f64 y z)) |
(*.f64 (+.f64 (*.f64 y z) x) 1) |
(-.f64 (+.f64 1 (+.f64 (*.f64 y z) x)) 1) |
(+.f64 x (*.f64 y (-.f64 (*.f64 x (*.f64 y -1/2)) z))) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 y (neg.f64 z)) (*.f64 y (neg.f64 z)))) (-.f64 x (*.f64 y (neg.f64 z)))) |
(*.f64 x (cos.f64 y)) |
(fma.f64 y (neg.f64 z) x) |
(*.f64 z (neg.f64 (sin.f64 y))) |
| Outputs |
|---|
(*.f64 z (neg.f64 (sin.f64 y))) |
(+.f64 x (*.f64 y (-.f64 (*.f64 x (*.f64 y -1/2)) z))) |
(*.f64 x (cos.f64 y)) |
(*.f64 z (neg.f64 (sin.f64 y))) |
(*.f64 x (cos.f64 y)) |
3 calls:
| 41.0ms | z |
| 38.0ms | x |
| 28.0ms | y |
| Error | Segments | Branch |
|---|---|---|
| 12.4b | 7 | x |
| 11.1b | 5 | y |
| 12.2b | 7 | z |
Compiled 86 to 40 computations (53.5% saved)
| 4× | binary-search |
| Time | Left | Right |
|---|---|---|
| 116.0ms | 4.3070129533503156e+273 | 6.726982212474957e+274 |
| 110.0ms | 1.869434613823888e+154 | 3.7207288477357165e+161 |
| 34.0ms | 1.5402447850575905e-7 | 0.011147630301063862 |
| 39.0ms | -901.760773367421 | -1.0491666815934236e-10 |
Compiled 18 to 13 computations (27.8% saved)
| Inputs |
|---|
x |
(*.f64 y (neg.f64 z)) |
(-.f64 x (*.f64 y z)) |
(*.f64 (+.f64 (*.f64 y z) x) 1) |
(-.f64 (+.f64 1 (+.f64 (*.f64 y z) x)) 1) |
(+.f64 x (*.f64 y (-.f64 (*.f64 x (*.f64 y -1/2)) z))) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 y (neg.f64 z)) (*.f64 y (neg.f64 z)))) (-.f64 x (*.f64 y (neg.f64 z)))) |
(*.f64 x (cos.f64 y)) |
(fma.f64 y (neg.f64 z) x) |
| Outputs |
|---|
(*.f64 x (cos.f64 y)) |
(+.f64 x (*.f64 y (-.f64 (*.f64 x (*.f64 y -1/2)) z))) |
(*.f64 x (cos.f64 y)) |
3 calls:
| 21.0ms | x |
| 15.0ms | z |
| 15.0ms | y |
| Error | Segments | Branch |
|---|---|---|
| 20.4b | 3 | x |
| 16.6b | 3 | y |
| 19.9b | 3 | z |
Compiled 81 to 37 computations (54.3% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 35.0ms | 1.5402447850575905e-7 | 0.011147630301063862 |
| 36.0ms | -901.760773367421 | -1.0491666815934236e-10 |
Compiled 18 to 13 computations (27.8% saved)
| Inputs |
|---|
x |
(*.f64 y (neg.f64 z)) |
(-.f64 x (*.f64 y z)) |
(*.f64 (+.f64 (*.f64 y z) x) 1) |
(-.f64 (+.f64 1 (+.f64 (*.f64 y z) x)) 1) |
(+.f64 x (*.f64 y (-.f64 (*.f64 x (*.f64 y -1/2)) z))) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 y (neg.f64 z)) (*.f64 y (neg.f64 z)))) (-.f64 x (*.f64 y (neg.f64 z)))) |
| Outputs |
|---|
(-.f64 x (*.f64 y z)) |
3 calls:
| 5.0ms | y |
| 5.0ms | z |
| 5.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 30.7b | 1 | x |
| 30.7b | 1 | y |
| 30.7b | 1 | z |
Compiled 72 to 34 computations (52.8% saved)
Total -27.6b remaining (-79.3%)
Threshold costs -27.6b (-79.3%)
| Inputs |
|---|
x |
(*.f64 y (neg.f64 z)) |
| Outputs |
|---|
(*.f64 y (neg.f64 z)) |
x |
(*.f64 y (neg.f64 z)) |
3 calls:
| 9.0ms | x |
| 8.0ms | z |
| 3.0ms | y |
| Error | Segments | Branch |
|---|---|---|
| 36.0b | 3 | x |
| 37.8b | 1 | y |
| 34.8b | 3 | z |
Compiled 20 to 14 computations (30% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 59.0ms | 1.7624802837630254e+193 | 2.1524971661486087e+194 |
| 60.0ms | -3.0050395976929094e+221 | -2.2721934532230194e+217 |
Compiled 18 to 13 computations (27.8% saved)
| 1× | egg-herbie |
| 13× | *-commutative_binary64 |
| 9× | +-commutative_binary64 |
| 8× | sub-neg_binary64 |
| 5× | neg-sub0_binary64 |
| 5× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 42 | 155 |
| 1 | 69 | 155 |
| 2 | 84 | 155 |
| 3 | 92 | 155 |
| 4 | 95 | 155 |
| 1× | saturated |
| Inputs |
|---|
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(if (<=.f64 y -3965985823159031/4398046511104) (*.f64 z (neg.f64 (sin.f64 y))) (if (<=.f64 y 5818880278696581/37778931862957161709568) (+.f64 x (*.f64 y (-.f64 (*.f64 x (*.f64 y -1/2)) z))) (if (<=.f64 y 18694346138238879340934212925585052720348448789933090708397961159278267011422239674140142527870914863913320234254924235449793567340246621135185732438065152) (*.f64 x (cos.f64 y)) (if (<=.f64 y 4307012953350315637294838890231070831241840786755581122205357088666162343031327218515743254468591111320154629132960825407992631055868021754996427417861056088460855606075817192332058703003321461317060159449918084345037056710222368954037272282001648585441926317084505895075840) (*.f64 z (neg.f64 (sin.f64 y))) (*.f64 x (cos.f64 y)))))) |
(if (<=.f64 y -3965985823159031/4398046511104) (*.f64 x (cos.f64 y)) (if (<=.f64 y 5818880278696581/37778931862957161709568) (+.f64 x (*.f64 y (-.f64 (*.f64 x (*.f64 y -1/2)) z))) (*.f64 x (cos.f64 y)))) |
(-.f64 x (*.f64 y z)) |
(if (<=.f64 z -300503959769290938717398314506711743715179909553366775164131050072164125601658119830288431892741439694588735974944504830345432042646574058244269232339717879602467322990115354465133709353282650240424634572932368843631755264) (*.f64 y (neg.f64 z)) (if (<=.f64 z 17624802837630254051780781360388149395679206328209013519984195560738516750806735796878664427157076184910852784080420052317957177043604134406446341886396442617677821367526107660276557195121786880) x (*.f64 y (neg.f64 z)))) |
x |
| Outputs |
|---|
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(if (<=.f64 y -3965985823159031/4398046511104) (*.f64 z (neg.f64 (sin.f64 y))) (if (<=.f64 y 5818880278696581/37778931862957161709568) (+.f64 x (*.f64 y (-.f64 (*.f64 x (*.f64 y -1/2)) z))) (if (<=.f64 y 18694346138238879340934212925585052720348448789933090708397961159278267011422239674140142527870914863913320234254924235449793567340246621135185732438065152) (*.f64 x (cos.f64 y)) (if (<=.f64 y 4307012953350315637294838890231070831241840786755581122205357088666162343031327218515743254468591111320154629132960825407992631055868021754996427417861056088460855606075817192332058703003321461317060159449918084345037056710222368954037272282001648585441926317084505895075840) (*.f64 z (neg.f64 (sin.f64 y))) (*.f64 x (cos.f64 y)))))) |
(if (<=.f64 y -3965985823159031/4398046511104) (*.f64 (sin.f64 y) (neg.f64 z)) (if (<=.f64 y 5818880278696581/37778931862957161709568) (+.f64 x (*.f64 y (-.f64 (*.f64 x (*.f64 y -1/2)) z))) (if (<=.f64 y 18694346138238879340934212925585052720348448789933090708397961159278267011422239674140142527870914863913320234254924235449793567340246621135185732438065152) (*.f64 x (cos.f64 y)) (if (<=.f64 y 4307012953350315637294838890231070831241840786755581122205357088666162343031327218515743254468591111320154629132960825407992631055868021754996427417861056088460855606075817192332058703003321461317060159449918084345037056710222368954037272282001648585441926317084505895075840) (*.f64 (sin.f64 y) (neg.f64 z)) (*.f64 x (cos.f64 y)))))) |
(if (<=.f64 y -3965985823159031/4398046511104) (*.f64 x (cos.f64 y)) (if (<=.f64 y 5818880278696581/37778931862957161709568) (+.f64 x (*.f64 y (-.f64 (*.f64 x (*.f64 y -1/2)) z))) (*.f64 x (cos.f64 y)))) |
(-.f64 x (*.f64 y z)) |
(if (<=.f64 z -300503959769290938717398314506711743715179909553366775164131050072164125601658119830288431892741439694588735974944504830345432042646574058244269232339717879602467322990115354465133709353282650240424634572932368843631755264) (*.f64 y (neg.f64 z)) (if (<=.f64 z 17624802837630254051780781360388149395679206328209013519984195560738516750806735796878664427157076184910852784080420052317957177043604134406446341886396442617677821367526107660276557195121786880) x (*.f64 y (neg.f64 z)))) |
x |
| 1× | fuel |
Compiled 229 to 119 computations (48% saved)
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