Time bar (total: 11.9s)
| 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 | 1941× | body | 1024 | valid |
| 1.3s | 5319× | body | 256 | valid |
| 568.0ms | 992× | body | 512 | valid |
| 3.0ms | 4× | body | 2048 | valid |
| 2× | egg-herbie |
| 516× | fma-def_binary64 |
| 380× | fma-neg_binary64 |
| 132× | 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 | 1136 | 56 |
| 8 | 1674 | 56 |
| 9 | 1919 | 56 |
| 10 | 1945 | 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))) |
(fma.f64 y (cos.f64 x) (neg.f64 (*.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 y (neg.f64 (sin.f64 z)))) |
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 | 409 | 14 |
| 9 | 525 | 14 |
| 10 | 583 | 14 |
| 11 | 589 | 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 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| ✓ | 0.1b | (*.f64 x (cos.f64 y)) |
| ✓ | 0.1b | (*.f64 z (sin.f64 y)) |
Compiled 27 to 8 computations (70.4% saved)
21 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 16.0ms | y | @ | inf | (*.f64 x (cos.f64 y)) |
| 1.0ms | z | @ | 0 | (*.f64 z (sin.f64 y)) |
| 1.0ms | x | @ | -inf | (*.f64 x (cos.f64 y)) |
| 1.0ms | y | @ | 0 | (*.f64 z (sin.f64 y)) |
| 1.0ms | x | @ | 0 | (*.f64 x (cos.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 z (sin.f64 y)) |
(*.f64 x (cos.f64 y)) |
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 z (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 z) (sin.f64 y))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 z) (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 z) (sin.f64 y)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 z) (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 z (sin.f64 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 z (sin.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (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 expm1.f64 (log1p.f64 (*.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 z (sin.f64 y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 z (sin.f64 y)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 z (sin.f64 y)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x 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 +.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 expm1.f64 (log1p.f64 (*.f64 x (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (cos.f64 y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x (cos.f64 y)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x (cos.f64 y)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 x (cos.f64 y))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 x (cos.f64 y))) 3) 1/3)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.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 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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 |
| 460× | *-commutative_binary64 |
| 430× | distribute-rgt-neg-in_binary64 |
| 403× | distribute-lft-out_binary64 |
| 374× | sub-neg_binary64 |
| 328× | cancel-sign-sub-inv_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 60 | 721 |
| 1 | 170 | 715 |
| 2 | 472 | 698 |
| 3 | 1512 | 693 |
| 4 | 2746 | 693 |
| 5 | 5554 | 693 |
| 6 | 7478 | 693 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 y z) |
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)) (*.f64 y z)) |
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)) (+.f64 (*.f64 y z) (*.f64 1/120 (*.f64 (pow.f64 y 5) z)))) |
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)) (+.f64 (*.f64 y z) (+.f64 (*.f64 -1/5040 (*.f64 (pow.f64 y 7) z)) (*.f64 1/120 (*.f64 (pow.f64 y 5) z))))) |
(*.f64 (cos.f64 y) 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 -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 y z) |
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)) (*.f64 y z)) |
(fma.f64 -1/6 (*.f64 z (pow.f64 y 3)) (*.f64 y z)) |
(*.f64 z (+.f64 y (*.f64 -1/6 (pow.f64 y 3)))) |
(*.f64 z (fma.f64 -1/6 (pow.f64 y 3) y)) |
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)) (+.f64 (*.f64 y z) (*.f64 1/120 (*.f64 (pow.f64 y 5) z)))) |
(fma.f64 -1/6 (*.f64 z (pow.f64 y 3)) (fma.f64 y z (*.f64 1/120 (*.f64 z (pow.f64 y 5))))) |
(fma.f64 -1/6 (*.f64 z (pow.f64 y 3)) (*.f64 z (+.f64 y (*.f64 1/120 (pow.f64 y 5))))) |
(*.f64 z (+.f64 (*.f64 -1/6 (pow.f64 y 3)) (fma.f64 1/120 (pow.f64 y 5) y))) |
(+.f64 (*.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 (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 y (*.f64 y -1/2)) x) |
(+.f64 (*.f64 1/24 (*.f64 (pow.f64 y 4) x)) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) x)) |
(fma.f64 1/24 (*.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 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 (*.f64 -1/720 (pow.f64 y 6)) (fma.f64 x (fma.f64 1/24 (pow.f64 y 4) (*.f64 y (*.f64 y -1/2))) x)) |
(*.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 -1 (*.f64 z (sin.f64 y))) |
(neg.f64 (*.f64 z (sin.f64 y))) |
(*.f64 z (neg.f64 (sin.f64 y))) |
(*.f64 (sin.f64 y) (neg.f64 z)) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x)) |
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(fma.f64 (cos.f64 y) x (*.f64 z (neg.f64 (sin.f64 y)))) |
(fma.f64 z (neg.f64 (sin.f64 y)) (*.f64 (cos.f64 y) x)) |
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) (neg.f64 z))) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x)) |
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(fma.f64 (cos.f64 y) x (*.f64 z (neg.f64 (sin.f64 y)))) |
(fma.f64 z (neg.f64 (sin.f64 y)) (*.f64 (cos.f64 y) x)) |
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) (neg.f64 z))) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x)) |
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(fma.f64 (cos.f64 y) x (*.f64 z (neg.f64 (sin.f64 y)))) |
(fma.f64 z (neg.f64 (sin.f64 y)) (*.f64 (cos.f64 y) x)) |
(fma.f64 (cos.f64 y) x (*.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 (cos.f64 y) x (*.f64 z (neg.f64 (sin.f64 y)))) |
(fma.f64 z (neg.f64 (sin.f64 y)) (*.f64 (cos.f64 y) x)) |
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) (neg.f64 z))) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x)) |
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(fma.f64 (cos.f64 y) x (*.f64 z (neg.f64 (sin.f64 y)))) |
(fma.f64 z (neg.f64 (sin.f64 y)) (*.f64 (cos.f64 y) x)) |
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) (neg.f64 z))) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x)) |
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(fma.f64 (cos.f64 y) x (*.f64 z (neg.f64 (sin.f64 y)))) |
(fma.f64 z (neg.f64 (sin.f64 y)) (*.f64 (cos.f64 y) x)) |
(fma.f64 (cos.f64 y) x (*.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 (cos.f64 y) x (*.f64 z (neg.f64 (sin.f64 y)))) |
(fma.f64 z (neg.f64 (sin.f64 y)) (*.f64 (cos.f64 y) x)) |
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) (neg.f64 z))) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x)) |
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(fma.f64 (cos.f64 y) x (*.f64 z (neg.f64 (sin.f64 y)))) |
(fma.f64 z (neg.f64 (sin.f64 y)) (*.f64 (cos.f64 y) x)) |
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) (neg.f64 z))) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x)) |
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(fma.f64 (cos.f64 y) x (*.f64 z (neg.f64 (sin.f64 y)))) |
(fma.f64 z (neg.f64 (sin.f64 y)) (*.f64 (cos.f64 y) x)) |
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) (neg.f64 z))) |
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)) |
(fma.f64 x (*.f64 y (*.f64 y -1/2)) (-.f64 x (*.f64 y z))) |
(-.f64 x (*.f64 y (-.f64 z (*.f64 x (*.f64 y -1/2))))) |
(+.f64 x (*.f64 y (-.f64 (*.f64 y (*.f64 x -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 y (*.f64 y -1/2)) (fma.f64 (*.f64 z (pow.f64 y 3)) 1/6 x)) (*.f64 y z)) |
(-.f64 (fma.f64 x (*.f64 y (*.f64 y -1/2)) x) (*.f64 z (fma.f64 -1/6 (pow.f64 y 3) y))) |
(-.f64 x (fma.f64 z (fma.f64 -1/6 (pow.f64 y 3) y) (*.f64 (*.f64 y y) (*.f64 x 1/2)))) |
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(fma.f64 (cos.f64 y) x (*.f64 z (neg.f64 (sin.f64 y)))) |
(fma.f64 z (neg.f64 (sin.f64 y)) (*.f64 (cos.f64 y) x)) |
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) (neg.f64 z))) |
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(fma.f64 (cos.f64 y) x (*.f64 z (neg.f64 (sin.f64 y)))) |
(fma.f64 z (neg.f64 (sin.f64 y)) (*.f64 (cos.f64 y) x)) |
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) (neg.f64 z))) |
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(fma.f64 (cos.f64 y) x (*.f64 z (neg.f64 (sin.f64 y)))) |
(fma.f64 z (neg.f64 (sin.f64 y)) (*.f64 (cos.f64 y) x)) |
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) (neg.f64 z))) |
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(fma.f64 (cos.f64 y) x (*.f64 z (neg.f64 (sin.f64 y)))) |
(fma.f64 z (neg.f64 (sin.f64 y)) (*.f64 (cos.f64 y) x)) |
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) (neg.f64 z))) |
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(fma.f64 (cos.f64 y) x (*.f64 z (neg.f64 (sin.f64 y)))) |
(fma.f64 z (neg.f64 (sin.f64 y)) (*.f64 (cos.f64 y) x)) |
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) (neg.f64 z))) |
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(fma.f64 (cos.f64 y) x (*.f64 z (neg.f64 (sin.f64 y)))) |
(fma.f64 z (neg.f64 (sin.f64 y)) (*.f64 (cos.f64 y) x)) |
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) (neg.f64 z))) |
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(fma.f64 (cos.f64 y) x (*.f64 z (neg.f64 (sin.f64 y)))) |
(fma.f64 z (neg.f64 (sin.f64 y)) (*.f64 (cos.f64 y) x)) |
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) (neg.f64 z))) |
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(fma.f64 (cos.f64 y) x (*.f64 z (neg.f64 (sin.f64 y)))) |
(fma.f64 z (neg.f64 (sin.f64 y)) (*.f64 (cos.f64 y) x)) |
(fma.f64 (cos.f64 y) x (*.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 (cos.f64 y) x (*.f64 z (neg.f64 (sin.f64 y)))) |
(fma.f64 z (neg.f64 (sin.f64 y)) (*.f64 (cos.f64 y) x)) |
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) (neg.f64 z))) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x)) |
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(fma.f64 (cos.f64 y) x (*.f64 z (neg.f64 (sin.f64 y)))) |
(fma.f64 z (neg.f64 (sin.f64 y)) (*.f64 (cos.f64 y) x)) |
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) (neg.f64 z))) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x)) |
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(fma.f64 (cos.f64 y) x (*.f64 z (neg.f64 (sin.f64 y)))) |
(fma.f64 z (neg.f64 (sin.f64 y)) (*.f64 (cos.f64 y) x)) |
(fma.f64 (cos.f64 y) x (*.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 (*.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 (cos.f64 y) x (*.f64 z (neg.f64 (sin.f64 y)))) |
(fma.f64 z (neg.f64 (sin.f64 y)) (*.f64 (cos.f64 y) x)) |
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) (neg.f64 z))) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x)) |
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(fma.f64 (cos.f64 y) x (*.f64 z (neg.f64 (sin.f64 y)))) |
(fma.f64 z (neg.f64 (sin.f64 y)) (*.f64 (cos.f64 y) x)) |
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) (neg.f64 z))) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x)) |
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(fma.f64 (cos.f64 y) x (*.f64 z (neg.f64 (sin.f64 y)))) |
(fma.f64 z (neg.f64 (sin.f64 y)) (*.f64 (cos.f64 y) x)) |
(fma.f64 (cos.f64 y) x (*.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 (*.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 (cos.f64 y) x (*.f64 z (neg.f64 (sin.f64 y)))) |
(fma.f64 z (neg.f64 (sin.f64 y)) (*.f64 (cos.f64 y) x)) |
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) (neg.f64 z))) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x)) |
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(fma.f64 (cos.f64 y) x (*.f64 z (neg.f64 (sin.f64 y)))) |
(fma.f64 z (neg.f64 (sin.f64 y)) (*.f64 (cos.f64 y) x)) |
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) (neg.f64 z))) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x)) |
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(fma.f64 (cos.f64 y) x (*.f64 z (neg.f64 (sin.f64 y)))) |
(fma.f64 z (neg.f64 (sin.f64 y)) (*.f64 (cos.f64 y) x)) |
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) (neg.f64 z))) |
Compiled 5135 to 1132 computations (78% saved)
18 alts after pruning (17 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 236 | 17 | 253 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 236 | 18 | 254 |
| Status | Error | Program |
|---|---|---|
| 0.9b | (fma.f64 (*.f64 (cos.f64 y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.f64 (sin.f64 y) (neg.f64 z))) | |
| ▶ | 30.5b | (+.f64 (*.f64 -1 (*.f64 y z)) x) |
| ▶ | 27.6b | (-.f64 (*.f64 x (cos.f64 y)) (pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 2)) |
| 28.1b | (-.f64 (*.f64 x (cos.f64 y)) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)) (*.f64 y z))) | |
| 38.4b | (*.f64 (sin.f64 y) (neg.f64 z)) | |
| 20.3b | (-.f64 (*.f64 x (cos.f64 y)) (*.f64 y z)) | |
| 27.1b | (pow.f64 (sqrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) 2) | |
| 29.8b | (*.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2)) (/.f64 1 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))))) | |
| ▶ | 14.6b | (fma.f64 (*.f64 x (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)) (*.f64 (sin.f64 y) (neg.f64 z))) |
| ▶ | 0.1b | (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y))) |
| ✓ | 0.1b | (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 29.3b | (-.f64 (cbrt.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3)) (*.f64 z (sin.f64 y))) | |
| 1.2b | (pow.f64 (cbrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) 3) | |
| 32.6b | (fma.f64 (*.f64 (neg.f64 z) (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y)) (*.f64 x (cos.f64 y))) | |
| ▶ | 15.6b | (-.f64 x (*.f64 z (sin.f64 y))) |
| 30.7b | (fma.f64 (*.f64 (cos.f64 y) (sqrt.f64 x)) (sqrt.f64 x) (*.f64 (sin.f64 y) (neg.f64 z))) | |
| 32.0b | (+.f64 x (*.f64 y (-.f64 (*.f64 y (*.f64 x -1/2)) z))) | |
| 30.5b | (fma.f64 z (neg.f64 y) x) |
Compiled 504 to 334 computations (33.7% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y))) |
| 0.1b | (*.f64 x (cos.f64 y)) |
Compiled 25 to 8 computations (68% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | inf | (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y))) |
| 1.0ms | z | @ | inf | (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y))) |
| 0.0ms | y | @ | -inf | (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y))) |
| 0.0ms | y | @ | 0 | (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y))) |
| 0.0ms | z | @ | 0 | (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y))) |
| 1× | batch-egg-rewrite |
| 788× | pow1_binary64 |
| 719× | add-log-exp_binary64 |
| 718× | log1p-expm1-u_binary64 |
| 718× | expm1-log1p-u_binary64 |
| 702× | add-exp-log_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 14 |
| 1 | 179 | 12 |
| 2 | 2188 | 12 |
| 1× | node limit |
| Inputs |
|---|
(fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z))))) (#(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 (*.f64 (*.f64 (sin.f64 y) z) 1) (*.f64 x (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))) (pow.f64 (cbrt.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))) 2) (cbrt.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))) (sqrt.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 y) z) 3) (pow.f64 (*.f64 x (cos.f64 y)) 3)) (+.f64 (*.f64 (*.f64 (sin.f64 y) z) (*.f64 (sin.f64 y) z)) (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (*.f64 (*.f64 (sin.f64 y) z) (*.f64 x (cos.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 (sin.f64 y) z) (*.f64 (sin.f64 y) z)) (pow.f64 (*.f64 x (cos.f64 y)) 2)) (-.f64 (*.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))) 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 cbrt.f64 (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))))))))) |
| 1× | egg-herbie |
| 830× | distribute-rgt-neg-in_binary64 |
| 717× | distribute-lft-neg-in_binary64 |
| 473× | distribute-lft-out--_binary64 |
| 444× | cancel-sign-sub-inv_binary64 |
| 341× | fma-def_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 29 | 487 |
| 1 | 79 | 458 |
| 2 | 198 | 458 |
| 3 | 509 | 454 |
| 4 | 1811 | 454 |
| 5 | 4429 | 454 |
| 1× | node limit |
| Inputs |
|---|
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 -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 (*.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 (*.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 -1 (*.f64 z (sin.f64 y))) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x)) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x)) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x)) |
(*.f64 -1 (*.f64 z (sin.f64 y))) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x)) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x)) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x)) |
(*.f64 -1 (*.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)) |
| Outputs |
|---|
x |
(+.f64 (*.f64 -1 (*.f64 y z)) x) |
(fma.f64 -1 (*.f64 y z) x) |
(-.f64 x (*.f64 y z)) |
(fma.f64 y (neg.f64 z) x) |
(+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 -1/2 (*.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 x (*.f64 y y)) x) (*.f64 y z)) |
(fma.f64 (*.f64 y y) (*.f64 x -1/2) (-.f64 x (*.f64 y z))) |
(+.f64 x (*.f64 y (-.f64 (*.f64 y (*.f64 x -1/2)) 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 x (*.f64 y y)) (fma.f64 1/6 (*.f64 z (pow.f64 y 3)) x)) (*.f64 y z)) |
(-.f64 (fma.f64 (fma.f64 -1/2 (*.f64 y y) 1) x (*.f64 z (*.f64 1/6 (pow.f64 y 3)))) (*.f64 y z)) |
(fma.f64 x (fma.f64 y (*.f64 y -1/2) 1) (*.f64 z (-.f64 (*.f64 1/6 (pow.f64 y 3)) y))) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x)) |
(fma.f64 -1 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y))) |
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) (neg.f64 z))) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x)) |
(fma.f64 -1 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y))) |
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) (neg.f64 z))) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x)) |
(fma.f64 -1 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y))) |
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) (neg.f64 z))) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x)) |
(fma.f64 -1 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y))) |
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) (neg.f64 z))) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x)) |
(fma.f64 -1 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y))) |
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) (neg.f64 z))) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x)) |
(fma.f64 -1 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y))) |
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) (neg.f64 z))) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x)) |
(fma.f64 -1 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y))) |
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) (neg.f64 z))) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x)) |
(fma.f64 -1 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y))) |
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) (neg.f64 z))) |
(*.f64 (cos.f64 y) x) |
(*.f64 x (cos.f64 y)) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x)) |
(fma.f64 -1 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y))) |
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) (neg.f64 z))) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x)) |
(fma.f64 -1 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y))) |
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) (neg.f64 z))) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x)) |
(fma.f64 -1 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y))) |
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) (neg.f64 z))) |
(*.f64 -1 (*.f64 z (sin.f64 y))) |
(neg.f64 (*.f64 z (sin.f64 y))) |
(*.f64 (sin.f64 y) (neg.f64 z)) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x)) |
(fma.f64 -1 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y))) |
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) (neg.f64 z))) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x)) |
(fma.f64 -1 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y))) |
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) (neg.f64 z))) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x)) |
(fma.f64 -1 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y))) |
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) (neg.f64 z))) |
(*.f64 -1 (*.f64 z (sin.f64 y))) |
(neg.f64 (*.f64 z (sin.f64 y))) |
(*.f64 (sin.f64 y) (neg.f64 z)) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x)) |
(fma.f64 -1 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y))) |
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) (neg.f64 z))) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x)) |
(fma.f64 -1 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y))) |
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) (neg.f64 z))) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x)) |
(fma.f64 -1 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y))) |
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) (neg.f64 z))) |
(*.f64 -1 (*.f64 z (sin.f64 y))) |
(neg.f64 (*.f64 z (sin.f64 y))) |
(*.f64 (sin.f64 y) (neg.f64 z)) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x)) |
(fma.f64 -1 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y))) |
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) (neg.f64 z))) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x)) |
(fma.f64 -1 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y))) |
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) (neg.f64 z))) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x)) |
(fma.f64 -1 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y))) |
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) (neg.f64 z))) |
(*.f64 (cos.f64 y) x) |
(*.f64 x (cos.f64 y)) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x)) |
(fma.f64 -1 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y))) |
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) (neg.f64 z))) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x)) |
(fma.f64 -1 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y))) |
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) (neg.f64 z))) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x)) |
(fma.f64 -1 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y))) |
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) (neg.f64 z))) |
(*.f64 (cos.f64 y) x) |
(*.f64 x (cos.f64 y)) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x)) |
(fma.f64 -1 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y))) |
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) (neg.f64 z))) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x)) |
(fma.f64 -1 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y))) |
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) (neg.f64 z))) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x)) |
(fma.f64 -1 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y))) |
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) (neg.f64 z))) |
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 (*.f64 -1 (*.f64 y z)) x) |
Compiled 22 to 10 computations (54.5% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | y | @ | inf | (+.f64 (*.f64 -1 (*.f64 y z)) x) |
| 1.0ms | y | @ | 0 | (+.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 | 2276 | 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 expm1.f64 (log1p.f64 (+.f64 (*.f64 y z) x)))))) (#(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 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 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 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 | z | @ | inf | (-.f64 x (*.f64 z (sin.f64 y))) |
| 0.0ms | x | @ | inf | (-.f64 x (*.f64 z (sin.f64 y))) |
| 1× | batch-egg-rewrite |
| 833× | pow1_binary64 |
| 770× | add-log-exp_binary64 |
| 770× | log1p-expm1-u_binary64 |
| 770× | expm1-log1p-u_binary64 |
| 753× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 9 |
| 1 | 151 | 9 |
| 2 | 2084 | 9 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 x (*.f64 z (sin.f64 y))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 (sin.f64 y) (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 (*.f64 (sin.f64 y) (neg.f64 z)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (*.f64 z (sin.f64 y))) (fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (*.f64 z (sin.f64 y))) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (*.f64 z (sin.f64 y))) (fma.f64 (*.f64 (sin.f64 y) (neg.f64 z)) 1 (*.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (*.f64 z (sin.f64 y))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))) (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2) (*.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (*.f64 z (sin.f64 y))) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 z (sin.f64 y)))) (sqrt.f64 (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 y) (neg.f64 z)) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 x (*.f64 z (sin.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 x (*.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 x (*.f64 z (sin.f64 y)))) (pow.f64 (cbrt.f64 (-.f64 x (*.f64 z (sin.f64 y)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 x (*.f64 z (sin.f64 y)))) 2) (cbrt.f64 (-.f64 x (*.f64 z (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 x (*.f64 z (sin.f64 y)))) (sqrt.f64 (-.f64 x (*.f64 z (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (/.f64 1 (fma.f64 x x (*.f64 (*.f64 z (sin.f64 y)) (+.f64 x (*.f64 z (sin.f64 y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 z (sin.f64 y)) 2)) (/.f64 1 (+.f64 x (*.f64 z (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 z (sin.f64 y)))) (-.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 z (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x x (*.f64 (*.f64 z (sin.f64 y)) (+.f64 x (*.f64 z (sin.f64 y))))) (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 z (sin.f64 y)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 x (*.f64 z (sin.f64 y))) (-.f64 (*.f64 x x) (pow.f64 (*.f64 z (sin.f64 y)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (fma.f64 x x (*.f64 (*.f64 z (sin.f64 y)) (+.f64 x (*.f64 z (sin.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 z (sin.f64 y)) 2)) (+.f64 x (*.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 z (sin.f64 y)) 3))) (neg.f64 (fma.f64 x x (*.f64 (*.f64 z (sin.f64 y)) (+.f64 x (*.f64 z (sin.f64 y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 z (sin.f64 y)) 2))) (neg.f64 (+.f64 x (*.f64 z (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 (sin.f64 y) (neg.f64 z)) 3)) (+.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 (sin.f64 y) (neg.f64 z)) (*.f64 (sin.f64 y) (neg.f64 z))) (*.f64 x (*.f64 (sin.f64 y) (neg.f64 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (sin.f64 y) (neg.f64 z)) (*.f64 (sin.f64 y) (neg.f64 z)))) (-.f64 x (*.f64 (sin.f64 y) (neg.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 x (*.f64 z (sin.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 x (*.f64 z (sin.f64 y))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 x (*.f64 z (sin.f64 y)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 x (*.f64 z (sin.f64 y)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 x (*.f64 z (sin.f64 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 x (*.f64 z (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 x (*.f64 z (sin.f64 y))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 x (*.f64 z (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 x (*.f64 z (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 x (*.f64 z (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (*.f64 (sin.f64 y) (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 (sin.f64 y) (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (sin.f64 y) (neg.f64 z))))))) |
| 1× | egg-herbie |
| 825× | distribute-rgt-neg-in_binary64 |
| 809× | fma-def_binary64 |
| 703× | distribute-lft-neg-in_binary64 |
| 596× | unswap-sqr_binary64 |
| 549× | associate-*l*_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 26 | 262 |
| 1 | 74 | 241 |
| 2 | 196 | 236 |
| 3 | 502 | 233 |
| 4 | 1500 | 232 |
| 5 | 4261 | 232 |
| 6 | 6535 | 232 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -1 (*.f64 z (sin.f64 y))) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x) |
x |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x) |
x |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x) |
x |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x) |
(*.f64 -1 (*.f64 z (sin.f64 y))) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x) |
(*.f64 -1 (*.f64 z (sin.f64 y))) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x) |
x |
(+.f64 (*.f64 -1 (*.f64 y z)) x) |
(+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 y 3) z)) x)) |
(+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 -1/120 (*.f64 (pow.f64 y 5) z)) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 y 3) z)) x))) |
| Outputs |
|---|
(*.f64 -1 (*.f64 z (sin.f64 y))) |
(neg.f64 (*.f64 z (sin.f64 y))) |
(*.f64 z (neg.f64 (sin.f64 y))) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x) |
(fma.f64 -1 (*.f64 z (sin.f64 y)) x) |
(-.f64 x (*.f64 z (sin.f64 y))) |
(fma.f64 z (neg.f64 (sin.f64 y)) x) |
(fma.f64 (sin.f64 y) (neg.f64 z) x) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x) |
(fma.f64 -1 (*.f64 z (sin.f64 y)) x) |
(-.f64 x (*.f64 z (sin.f64 y))) |
(fma.f64 z (neg.f64 (sin.f64 y)) x) |
(fma.f64 (sin.f64 y) (neg.f64 z) x) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x) |
(fma.f64 -1 (*.f64 z (sin.f64 y)) x) |
(-.f64 x (*.f64 z (sin.f64 y))) |
(fma.f64 z (neg.f64 (sin.f64 y)) x) |
(fma.f64 (sin.f64 y) (neg.f64 z) x) |
x |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x) |
(fma.f64 -1 (*.f64 z (sin.f64 y)) x) |
(-.f64 x (*.f64 z (sin.f64 y))) |
(fma.f64 z (neg.f64 (sin.f64 y)) x) |
(fma.f64 (sin.f64 y) (neg.f64 z) x) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x) |
(fma.f64 -1 (*.f64 z (sin.f64 y)) x) |
(-.f64 x (*.f64 z (sin.f64 y))) |
(fma.f64 z (neg.f64 (sin.f64 y)) x) |
(fma.f64 (sin.f64 y) (neg.f64 z) x) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x) |
(fma.f64 -1 (*.f64 z (sin.f64 y)) x) |
(-.f64 x (*.f64 z (sin.f64 y))) |
(fma.f64 z (neg.f64 (sin.f64 y)) x) |
(fma.f64 (sin.f64 y) (neg.f64 z) x) |
x |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x) |
(fma.f64 -1 (*.f64 z (sin.f64 y)) x) |
(-.f64 x (*.f64 z (sin.f64 y))) |
(fma.f64 z (neg.f64 (sin.f64 y)) x) |
(fma.f64 (sin.f64 y) (neg.f64 z) x) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x) |
(fma.f64 -1 (*.f64 z (sin.f64 y)) x) |
(-.f64 x (*.f64 z (sin.f64 y))) |
(fma.f64 z (neg.f64 (sin.f64 y)) x) |
(fma.f64 (sin.f64 y) (neg.f64 z) x) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x) |
(fma.f64 -1 (*.f64 z (sin.f64 y)) x) |
(-.f64 x (*.f64 z (sin.f64 y))) |
(fma.f64 z (neg.f64 (sin.f64 y)) x) |
(fma.f64 (sin.f64 y) (neg.f64 z) x) |
x |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x) |
(fma.f64 -1 (*.f64 z (sin.f64 y)) x) |
(-.f64 x (*.f64 z (sin.f64 y))) |
(fma.f64 z (neg.f64 (sin.f64 y)) x) |
(fma.f64 (sin.f64 y) (neg.f64 z) x) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x) |
(fma.f64 -1 (*.f64 z (sin.f64 y)) x) |
(-.f64 x (*.f64 z (sin.f64 y))) |
(fma.f64 z (neg.f64 (sin.f64 y)) x) |
(fma.f64 (sin.f64 y) (neg.f64 z) x) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x) |
(fma.f64 -1 (*.f64 z (sin.f64 y)) x) |
(-.f64 x (*.f64 z (sin.f64 y))) |
(fma.f64 z (neg.f64 (sin.f64 y)) x) |
(fma.f64 (sin.f64 y) (neg.f64 z) x) |
(*.f64 -1 (*.f64 z (sin.f64 y))) |
(neg.f64 (*.f64 z (sin.f64 y))) |
(*.f64 z (neg.f64 (sin.f64 y))) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x) |
(fma.f64 -1 (*.f64 z (sin.f64 y)) x) |
(-.f64 x (*.f64 z (sin.f64 y))) |
(fma.f64 z (neg.f64 (sin.f64 y)) x) |
(fma.f64 (sin.f64 y) (neg.f64 z) x) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x) |
(fma.f64 -1 (*.f64 z (sin.f64 y)) x) |
(-.f64 x (*.f64 z (sin.f64 y))) |
(fma.f64 z (neg.f64 (sin.f64 y)) x) |
(fma.f64 (sin.f64 y) (neg.f64 z) x) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x) |
(fma.f64 -1 (*.f64 z (sin.f64 y)) x) |
(-.f64 x (*.f64 z (sin.f64 y))) |
(fma.f64 z (neg.f64 (sin.f64 y)) x) |
(fma.f64 (sin.f64 y) (neg.f64 z) x) |
(*.f64 -1 (*.f64 z (sin.f64 y))) |
(neg.f64 (*.f64 z (sin.f64 y))) |
(*.f64 z (neg.f64 (sin.f64 y))) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x) |
(fma.f64 -1 (*.f64 z (sin.f64 y)) x) |
(-.f64 x (*.f64 z (sin.f64 y))) |
(fma.f64 z (neg.f64 (sin.f64 y)) x) |
(fma.f64 (sin.f64 y) (neg.f64 z) x) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x) |
(fma.f64 -1 (*.f64 z (sin.f64 y)) x) |
(-.f64 x (*.f64 z (sin.f64 y))) |
(fma.f64 z (neg.f64 (sin.f64 y)) x) |
(fma.f64 (sin.f64 y) (neg.f64 z) x) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x) |
(fma.f64 -1 (*.f64 z (sin.f64 y)) x) |
(-.f64 x (*.f64 z (sin.f64 y))) |
(fma.f64 z (neg.f64 (sin.f64 y)) x) |
(fma.f64 (sin.f64 y) (neg.f64 z) x) |
x |
(+.f64 (*.f64 -1 (*.f64 y z)) x) |
(fma.f64 -1 (*.f64 z y) x) |
(-.f64 x (*.f64 z y)) |
(fma.f64 z (neg.f64 y) x) |
(+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 y 3) z)) x)) |
(fma.f64 -1 (*.f64 z y) (fma.f64 1/6 (*.f64 z (pow.f64 y 3)) x)) |
(-.f64 (fma.f64 1/6 (*.f64 z (pow.f64 y 3)) x) (*.f64 z y)) |
(fma.f64 z (fma.f64 -1 y (*.f64 1/6 (pow.f64 y 3))) x) |
(fma.f64 z (-.f64 (*.f64 1/6 (pow.f64 y 3)) y) x) |
(fma.f64 z (fma.f64 1/6 (pow.f64 y 3) (neg.f64 y)) x) |
(+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 -1/120 (*.f64 (pow.f64 y 5) z)) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 y 3) z)) x))) |
(fma.f64 -1 (*.f64 z y) (fma.f64 -1/120 (*.f64 z (pow.f64 y 5)) (fma.f64 1/6 (*.f64 z (pow.f64 y 3)) x))) |
(-.f64 (fma.f64 -1/120 (*.f64 z (pow.f64 y 5)) (fma.f64 1/6 (*.f64 z (pow.f64 y 3)) x)) (*.f64 z y)) |
(fma.f64 z (fma.f64 -1/120 (pow.f64 y 5) (*.f64 1/6 (pow.f64 y 3))) (-.f64 x (*.f64 z y))) |
(fma.f64 z (fma.f64 -1 y (fma.f64 1/6 (pow.f64 y 3) (*.f64 -1/120 (pow.f64 y 5)))) x) |
(fma.f64 z (fma.f64 -1/120 (pow.f64 y 5) (fma.f64 1/6 (pow.f64 y 3) (neg.f64 y))) x) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.1b | (*.f64 x (cos.f64 y)) | |
| 0.1b | (*.f64 z (sin.f64 y)) | |
| ✓ | 0.2b | (pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 2) |
| ✓ | 10.1b | (sqrt.f64 (*.f64 z (sin.f64 y))) |
Compiled 43 to 14 computations (67.4% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | y | @ | 0 | (pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 2) |
| 1.0ms | z | @ | -inf | (pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 2) |
| 1.0ms | z | @ | 0 | (sqrt.f64 (*.f64 z (sin.f64 y))) |
| 1.0ms | z | @ | 0 | (pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 2) |
| 1.0ms | y | @ | 0 | (sqrt.f64 (*.f64 z (sin.f64 y))) |
| 1× | batch-egg-rewrite |
| 613× | pow1_binary64 |
| 565× | add-log-exp_binary64 |
| 565× | log1p-expm1-u_binary64 |
| 565× | expm1-log1p-u_binary64 |
| 551× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 14 |
| 1 | 163 | 14 |
| 2 | 1592 | 14 |
| 1× | node limit |
| Inputs |
|---|
(sqrt.f64 (*.f64 z (sin.f64 y))) |
(pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 2) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (sqrt.f64 (*.f64 z (sin.f64 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (*.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) (cbrt.f64 (sqrt.f64 (*.f64 z (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (*.f64 z (sin.f64 y)))) (cbrt.f64 (*.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 z) (sqrt.f64 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 z (sin.f64 y)) 1/4) (pow.f64 (*.f64 z (sin.f64 y)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2)) (sqrt.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (*.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2) 1/2) (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 z (sin.f64 y)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 z (sin.f64 y)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 z (sin.f64 y)) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (*.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (*.f64 z (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 z (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 z (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (*.f64 z (sin.f64 y))))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.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 (sqrt.f64 (*.f64 z (sin.f64 y))) (sqrt.f64 (*.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 z (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 z (sin.f64 y)))) (sqrt.f64 (*.f64 z (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (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 (pow.f64 (cbrt.f64 z) 2) (*.f64 (cbrt.f64 z) (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (*.f64 (cbrt.f64 (sin.f64 y)) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 (*.f64 z (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 z (sin.f64 y)) 1/4) (*.f64 (pow.f64 (*.f64 z (sin.f64 y)) 1/4) (sqrt.f64 (*.f64 z (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sin.f64 y)) (*.f64 (sqrt.f64 (sin.f64 y)) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) (pow.f64 (*.f64 z (sin.f64 y)) 1/4)) (pow.f64 (*.f64 z (sin.f64 y)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 z (pow.f64 (cbrt.f64 (sin.f64 y)) 2)) (cbrt.f64 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 z (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 y) (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 (sqrt.f64 (*.f64 z (sin.f64 y))) (cbrt.f64 (*.f64 z (sin.f64 y)))) (cbrt.f64 (sqrt.f64 (*.f64 z (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) (sqrt.f64 z)) (sqrt.f64 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 z) (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 z (sin.f64 y)))))))) |
| 1× | egg-herbie |
| 1× | *-commutative_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5 | 48 |
| 1 | 6 | 48 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 z (sin.f64 y)) |
(*.f64 z (sin.f64 y)) |
(*.f64 z (sin.f64 y)) |
(*.f64 z (sin.f64 y)) |
(*.f64 z (sin.f64 y)) |
(*.f64 z (sin.f64 y)) |
(*.f64 z (sin.f64 y)) |
(*.f64 z (sin.f64 y)) |
| Outputs |
|---|
(*.f64 z (sin.f64 y)) |
(*.f64 z (sin.f64 y)) |
(*.f64 z (sin.f64 y)) |
(*.f64 z (sin.f64 y)) |
(*.f64 z (sin.f64 y)) |
(*.f64 z (sin.f64 y)) |
(*.f64 z (sin.f64 y)) |
(*.f64 z (sin.f64 y)) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.1b | (sqrt.f64 (cos.f64 y)) |
| ✓ | 0.1b | (fma.f64 (*.f64 x (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)) (*.f64 (sin.f64 y) (neg.f64 z))) |
| ✓ | 0.1b | (*.f64 x (sqrt.f64 (cos.f64 y))) |
| ✓ | 0.1b | (*.f64 (sin.f64 y) (neg.f64 z)) |
Compiled 39 to 10 computations (74.4% saved)
24 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | y | @ | inf | (*.f64 x (sqrt.f64 (cos.f64 y))) |
| 2.0ms | y | @ | inf | (sqrt.f64 (cos.f64 y)) |
| 1.0ms | z | @ | 0 | (fma.f64 (*.f64 x (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)) (*.f64 (sin.f64 y) (neg.f64 z))) |
| 1.0ms | x | @ | 0 | (*.f64 x (sqrt.f64 (cos.f64 y))) |
| 1.0ms | y | @ | -inf | (*.f64 x (sqrt.f64 (cos.f64 y))) |
| 1× | batch-egg-rewrite |
| 963× | pow1_binary64 |
| 881× | add-log-exp_binary64 |
| 880× | log1p-expm1-u_binary64 |
| 880× | expm1-log1p-u_binary64 |
| 113× | add-sqr-sqrt_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 44 |
| 1 | 221 | 33 |
| 2 | 2729 | 33 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (sin.f64 y) (neg.f64 z)) |
(*.f64 x (sqrt.f64 (cos.f64 y))) |
(fma.f64 (*.f64 x (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)) (*.f64 (sin.f64 y) (neg.f64 z))) |
(sqrt.f64 (cos.f64 y)) |
| Outputs |
|---|
((#(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 expm1.f64 (log1p.f64 (*.f64 (sin.f64 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sin.f64 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (sin.f64 y) z))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x (sqrt.f64 (cos.f64 y))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (sqrt.f64 (cos.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (sqrt.f64 (cos.f64 y))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (sqrt.f64 (cos.f64 y)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (sqrt.f64 (cos.f64 y)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (cos.f64 y) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (sqrt.f64 (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x (sqrt.f64 (cos.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (sqrt.f64 (cos.f64 y))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (cos.f64 y) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (cos.f64 y) 3/2) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (sqrt.f64 (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (sqrt.f64 (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (sqrt.f64 (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 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x (cos.f64 y)) 1) (*.f64 (sin.f64 y) z))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (*.f64 (sin.f64 y) z) (*.f64 x (cos.f64 y))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 (sin.f64 y) z) (*.f64 x (cos.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (*.f64 (sin.f64 y) z) (*.f64 x (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (*.f64 (sin.f64 y) z) (*.f64 x (cos.f64 y)))) (pow.f64 (cbrt.f64 (+.f64 (*.f64 (sin.f64 y) z) (*.f64 x (cos.f64 y)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (*.f64 (sin.f64 y) z) (*.f64 x (cos.f64 y)))) 2) (cbrt.f64 (+.f64 (*.f64 (sin.f64 y) z) (*.f64 x (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (*.f64 (sin.f64 y) z) (*.f64 x (cos.f64 y)))) (sqrt.f64 (+.f64 (*.f64 (sin.f64 y) z) (*.f64 x (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 (sin.f64 y) z) 3)) (+.f64 (*.f64 (*.f64 x (cos.f64 y)) (*.f64 x (cos.f64 y))) (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) 2) (*.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 x (cos.f64 y)) (*.f64 x (cos.f64 y))) (pow.f64 (*.f64 (sin.f64 y) z) 2)) (+.f64 (*.f64 (sin.f64 y) z) (*.f64 x (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (*.f64 (sin.f64 y) z) (*.f64 x (cos.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (*.f64 (sin.f64 y) z) (*.f64 x (cos.f64 y))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (*.f64 (sin.f64 y) z) (*.f64 x (cos.f64 y)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (*.f64 (sin.f64 y) z) (*.f64 x (cos.f64 y)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (*.f64 (sin.f64 y) z) (*.f64 x (cos.f64 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (*.f64 (sin.f64 y) z) (*.f64 x (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 (*.f64 (sin.f64 y) z) (*.f64 x (cos.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (*.f64 (sin.f64 y) z) (*.f64 x (cos.f64 y))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (*.f64 (sin.f64 y) z) (*.f64 x (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (*.f64 (sin.f64 y) z) (*.f64 x (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (*.f64 (sin.f64 y) z) (*.f64 x (cos.f64 y))))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (cos.f64 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cos.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 (sqrt.f64 (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (cos.f64 y))) (cbrt.f64 (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cos.f64 y) 1/4) (pow.f64 (cos.f64 y) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (sqrt.f64 (cbrt.f64 (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) 1/2) (pow.f64 (cbrt.f64 (cos.f64 y)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cos.f64 y) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (cos.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cos.f64 y) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (cos.f64 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cos.f64 y) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (cos.f64 y) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (cos.f64 y)))))))) |
| 1× | egg-herbie |
| 692× | distribute-rgt-neg-in_binary64 |
| 575× | fma-neg_binary64 |
| 558× | cancel-sign-sub-inv_binary64 |
| 436× | *-commutative_binary64 |
| 390× | distribute-lft-out_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 70 | 1008 |
| 1 | 188 | 970 |
| 2 | 516 | 948 |
| 3 | 1648 | 943 |
| 4 | 3186 | 941 |
| 5 | 6966 | 941 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -1 (*.f64 y z)) |
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 1/6 (*.f64 (pow.f64 y 3) z))) |
(+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 -1/120 (*.f64 (pow.f64 y 5) z)) (*.f64 1/6 (*.f64 (pow.f64 y 3) z)))) |
(+.f64 (*.f64 1/5040 (*.f64 (pow.f64 y 7) z)) (+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 -1/120 (*.f64 (pow.f64 y 5) z)) (*.f64 1/6 (*.f64 (pow.f64 y 3) z))))) |
(*.f64 -1 (*.f64 z (sin.f64 y))) |
(*.f64 -1 (*.f64 z (sin.f64 y))) |
(*.f64 -1 (*.f64 z (sin.f64 y))) |
(*.f64 -1 (*.f64 z (sin.f64 y))) |
(*.f64 -1 (*.f64 z (sin.f64 y))) |
(*.f64 -1 (*.f64 z (sin.f64 y))) |
(*.f64 -1 (*.f64 z (sin.f64 y))) |
(*.f64 -1 (*.f64 z (sin.f64 y))) |
(*.f64 -1 (*.f64 z (sin.f64 y))) |
(*.f64 -1 (*.f64 z (sin.f64 y))) |
(*.f64 -1 (*.f64 z (sin.f64 y))) |
(*.f64 -1 (*.f64 z (sin.f64 y))) |
(*.f64 -1 (*.f64 z (sin.f64 y))) |
(*.f64 -1 (*.f64 z (sin.f64 y))) |
(*.f64 -1 (*.f64 z (sin.f64 y))) |
(*.f64 -1 (*.f64 z (sin.f64 y))) |
(*.f64 -1 (*.f64 z (sin.f64 y))) |
(*.f64 -1 (*.f64 z (sin.f64 y))) |
(*.f64 -1 (*.f64 z (sin.f64 y))) |
(*.f64 -1 (*.f64 z (sin.f64 y))) |
(*.f64 (sqrt.f64 (cos.f64 y)) x) |
(*.f64 (sqrt.f64 (cos.f64 y)) x) |
(*.f64 (sqrt.f64 (cos.f64 y)) x) |
(*.f64 (sqrt.f64 (cos.f64 y)) x) |
(*.f64 (sqrt.f64 (cos.f64 y)) x) |
(*.f64 (sqrt.f64 (cos.f64 y)) x) |
(*.f64 (sqrt.f64 (cos.f64 y)) x) |
(*.f64 (sqrt.f64 (cos.f64 y)) x) |
(*.f64 (sqrt.f64 (cos.f64 y)) x) |
(*.f64 (sqrt.f64 (cos.f64 y)) x) |
(*.f64 (sqrt.f64 (cos.f64 y)) x) |
(*.f64 (sqrt.f64 (cos.f64 y)) x) |
x |
(+.f64 (*.f64 -1/4 (*.f64 (pow.f64 y 2) x)) x) |
(+.f64 (*.f64 -1/96 (*.f64 (pow.f64 y 4) x)) (+.f64 (*.f64 -1/4 (*.f64 (pow.f64 y 2) x)) x)) |
(+.f64 (*.f64 -19/5760 (*.f64 (pow.f64 y 6) x)) (+.f64 (*.f64 -1/96 (*.f64 (pow.f64 y 4) x)) (+.f64 (*.f64 -1/4 (*.f64 (pow.f64 y 2) x)) x))) |
(*.f64 (sqrt.f64 (cos.f64 y)) x) |
(*.f64 (sqrt.f64 (cos.f64 y)) x) |
(*.f64 (sqrt.f64 (cos.f64 y)) x) |
(*.f64 (sqrt.f64 (cos.f64 y)) x) |
(*.f64 (sqrt.f64 (cos.f64 y)) x) |
(*.f64 (sqrt.f64 (cos.f64 y)) x) |
(*.f64 (sqrt.f64 (cos.f64 y)) x) |
(*.f64 (sqrt.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 (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 -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 (*.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 (*.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 -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)) |
1 |
(+.f64 (*.f64 -1/4 (pow.f64 y 2)) 1) |
(+.f64 (*.f64 -1/4 (pow.f64 y 2)) (+.f64 1 (*.f64 -1/96 (pow.f64 y 4)))) |
(+.f64 (*.f64 -1/4 (pow.f64 y 2)) (+.f64 1 (+.f64 (*.f64 -1/96 (pow.f64 y 4)) (*.f64 -19/5760 (pow.f64 y 6))))) |
| Outputs |
|---|
(*.f64 -1 (*.f64 y z)) |
(neg.f64 (*.f64 y 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 (*.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 (-.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 (*.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 1/5040 (pow.f64 y 7) (-.f64 (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)) |
(*.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 (sqrt.f64 (cos.f64 y)) x) |
(*.f64 (sqrt.f64 (cos.f64 y)) x) |
(*.f64 (sqrt.f64 (cos.f64 y)) x) |
(*.f64 (sqrt.f64 (cos.f64 y)) x) |
(*.f64 (sqrt.f64 (cos.f64 y)) x) |
(*.f64 (sqrt.f64 (cos.f64 y)) x) |
(*.f64 (sqrt.f64 (cos.f64 y)) x) |
(*.f64 (sqrt.f64 (cos.f64 y)) x) |
(*.f64 (sqrt.f64 (cos.f64 y)) x) |
(*.f64 (sqrt.f64 (cos.f64 y)) x) |
(*.f64 (sqrt.f64 (cos.f64 y)) x) |
(*.f64 (sqrt.f64 (cos.f64 y)) x) |
x |
(+.f64 (*.f64 -1/4 (*.f64 (pow.f64 y 2) x)) x) |
(fma.f64 -1/4 (*.f64 x (*.f64 y y)) x) |
(*.f64 (fma.f64 -1/4 (*.f64 y y) 1) x) |
(*.f64 x (fma.f64 y (*.f64 y -1/4) 1)) |
(*.f64 x (fma.f64 -1/4 (*.f64 y y) 1)) |
(+.f64 (*.f64 -1/96 (*.f64 (pow.f64 y 4) x)) (+.f64 (*.f64 -1/4 (*.f64 (pow.f64 y 2) x)) x)) |
(fma.f64 -1/96 (*.f64 x (pow.f64 y 4)) (fma.f64 -1/4 (*.f64 x (*.f64 y y)) x)) |
(fma.f64 -1/96 (*.f64 x (pow.f64 y 4)) (*.f64 (fma.f64 -1/4 (*.f64 y y) 1) x)) |
(fma.f64 x (fma.f64 -1/96 (pow.f64 y 4) (*.f64 y (*.f64 y -1/4))) x) |
(fma.f64 x (fma.f64 y (*.f64 y -1/4) (*.f64 -1/96 (pow.f64 y 4))) x) |
(+.f64 (*.f64 -19/5760 (*.f64 (pow.f64 y 6) x)) (+.f64 (*.f64 -1/96 (*.f64 (pow.f64 y 4) x)) (+.f64 (*.f64 -1/4 (*.f64 (pow.f64 y 2) x)) x))) |
(fma.f64 -19/5760 (*.f64 x (pow.f64 y 6)) (fma.f64 -1/96 (*.f64 x (pow.f64 y 4)) (fma.f64 -1/4 (*.f64 x (*.f64 y y)) x))) |
(+.f64 (*.f64 (fma.f64 -1/4 (*.f64 y y) 1) x) (*.f64 x (fma.f64 -1/96 (pow.f64 y 4) (*.f64 -19/5760 (pow.f64 y 6))))) |
(+.f64 x (*.f64 x (fma.f64 y (*.f64 y -1/4) (fma.f64 -1/96 (pow.f64 y 4) (*.f64 -19/5760 (pow.f64 y 6)))))) |
(*.f64 x (fma.f64 y (*.f64 y -1/4) (fma.f64 -1/96 (pow.f64 y 4) (fma.f64 -19/5760 (pow.f64 y 6) 1)))) |
(*.f64 x (fma.f64 -1/4 (*.f64 y y) (fma.f64 -1/96 (pow.f64 y 4) (fma.f64 -19/5760 (pow.f64 y 6) 1)))) |
(*.f64 (sqrt.f64 (cos.f64 y)) x) |
(*.f64 (sqrt.f64 (cos.f64 y)) x) |
(*.f64 (sqrt.f64 (cos.f64 y)) x) |
(*.f64 (sqrt.f64 (cos.f64 y)) x) |
(*.f64 (sqrt.f64 (cos.f64 y)) x) |
(*.f64 (sqrt.f64 (cos.f64 y)) x) |
(*.f64 (sqrt.f64 (cos.f64 y)) x) |
(*.f64 (sqrt.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 (sin.f64 y) (neg.f64 z)) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x)) |
(fma.f64 -1 (*.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 (cos.f64 y) x)) |
(fma.f64 -1 (*.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 (cos.f64 y) x)) |
(fma.f64 -1 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x)) |
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(*.f64 (cos.f64 y) x) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x)) |
(fma.f64 -1 (*.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 (cos.f64 y) x)) |
(fma.f64 -1 (*.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 (cos.f64 y) x)) |
(fma.f64 -1 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x)) |
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(*.f64 (cos.f64 y) x) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x)) |
(fma.f64 -1 (*.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 (cos.f64 y) x)) |
(fma.f64 -1 (*.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 (cos.f64 y) x)) |
(fma.f64 -1 (*.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 y z) x) |
(fma.f64 (neg.f64 y) z x) |
(fma.f64 y (neg.f64 z) x) |
(-.f64 x (*.f64 y z)) |
(+.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 (*.f64 y (*.f64 y x)) -1/2 x) (*.f64 y z)) |
(-.f64 (*.f64 x (fma.f64 (*.f64 y y) -1/2 1)) (*.f64 y z)) |
(+.f64 x (*.f64 y (-.f64 (*.f64 y (*.f64 x -1/2)) 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 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 (*.f64 y (*.f64 y x)) -1/2 (fma.f64 (*.f64 1/6 (pow.f64 y 3)) z x)) (*.f64 y z)) |
(+.f64 (*.f64 z (fma.f64 1/6 (pow.f64 y 3) (neg.f64 y))) (*.f64 x (fma.f64 (*.f64 y y) -1/2 1))) |
(fma.f64 x (fma.f64 (*.f64 y y) -1/2 1) (*.f64 z (fma.f64 1/6 (pow.f64 y 3) (neg.f64 y)))) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x)) |
(fma.f64 -1 (*.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 (cos.f64 y) x)) |
(fma.f64 -1 (*.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 (cos.f64 y) x)) |
(fma.f64 -1 (*.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 (cos.f64 y) x)) |
(fma.f64 -1 (*.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 (cos.f64 y) x)) |
(fma.f64 -1 (*.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 (cos.f64 y) x)) |
(fma.f64 -1 (*.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 (cos.f64 y) x)) |
(fma.f64 -1 (*.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 (cos.f64 y) x)) |
(fma.f64 -1 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x)) |
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(*.f64 (cos.f64 y) x) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x)) |
(fma.f64 -1 (*.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 (cos.f64 y) x)) |
(fma.f64 -1 (*.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 (cos.f64 y) x)) |
(fma.f64 -1 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x)) |
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(*.f64 -1 (*.f64 z (sin.f64 y))) |
(neg.f64 (*.f64 z (sin.f64 y))) |
(*.f64 z (neg.f64 (sin.f64 y))) |
(*.f64 (sin.f64 y) (neg.f64 z)) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x)) |
(fma.f64 -1 (*.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 (cos.f64 y) x)) |
(fma.f64 -1 (*.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 (cos.f64 y) x)) |
(fma.f64 -1 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x)) |
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(*.f64 -1 (*.f64 z (sin.f64 y))) |
(neg.f64 (*.f64 z (sin.f64 y))) |
(*.f64 z (neg.f64 (sin.f64 y))) |
(*.f64 (sin.f64 y) (neg.f64 z)) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x)) |
(fma.f64 -1 (*.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 (cos.f64 y) x)) |
(fma.f64 -1 (*.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 (cos.f64 y) x)) |
(fma.f64 -1 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x)) |
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
1 |
(+.f64 (*.f64 -1/4 (pow.f64 y 2)) 1) |
(fma.f64 -1/4 (*.f64 y y) 1) |
(fma.f64 y (*.f64 y -1/4) 1) |
(+.f64 (*.f64 -1/4 (pow.f64 y 2)) (+.f64 1 (*.f64 -1/96 (pow.f64 y 4)))) |
(+.f64 (fma.f64 -1/4 (*.f64 y y) 1) (*.f64 -1/96 (pow.f64 y 4))) |
(fma.f64 -1/4 (*.f64 y y) (fma.f64 -1/96 (pow.f64 y 4) 1)) |
(fma.f64 y (*.f64 y -1/4) (fma.f64 -1/96 (pow.f64 y 4) 1)) |
(+.f64 (*.f64 -1/4 (pow.f64 y 2)) (+.f64 1 (+.f64 (*.f64 -1/96 (pow.f64 y 4)) (*.f64 -19/5760 (pow.f64 y 6))))) |
(+.f64 (fma.f64 -1/4 (*.f64 y y) 1) (fma.f64 -1/96 (pow.f64 y 4) (*.f64 -19/5760 (pow.f64 y 6)))) |
(fma.f64 y (*.f64 y -1/4) (fma.f64 -1/96 (pow.f64 y 4) (fma.f64 -19/5760 (pow.f64 y 6) 1))) |
(fma.f64 -1/4 (*.f64 y y) (fma.f64 -1/96 (pow.f64 y 4) (fma.f64 -19/5760 (pow.f64 y 6) 1))) |
Compiled 6663 to 2214 computations (66.8% saved)
24 alts after pruning (20 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 423 | 15 | 438 |
| Fresh | 7 | 5 | 12 |
| Picked | 0 | 1 | 1 |
| Done | 2 | 3 | 5 |
| Total | 432 | 24 | 456 |
| Status | Error | Program |
|---|---|---|
| ▶ | 52.7b | (*.f64 y (neg.f64 z)) |
| ▶ | 0.9b | (fma.f64 (*.f64 (cos.f64 y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.f64 (sin.f64 y) (neg.f64 z))) |
| 37.4b | (*.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 z (sin.f64 y)) 2)) (/.f64 1 (+.f64 x (*.f64 z (sin.f64 y))))) | |
| 29.3b | (-.f64 (cbrt.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3)) (*.f64 z (sin.f64 y))) | |
| ▶ | 37.0b | (pow.f64 (sqrt.f64 (-.f64 x (*.f64 z (sin.f64 y)))) 2) |
| 15.6b | (fma.f64 (sin.f64 y) (neg.f64 z) x) | |
| ✓ | 14.6b | (fma.f64 (*.f64 x (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)) (*.f64 (sin.f64 y) (neg.f64 z))) |
| 16.4b | (pow.f64 (cbrt.f64 (-.f64 x (*.f64 z (sin.f64 y)))) 3) | |
| 1.2b | (pow.f64 (cbrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) 3) | |
| 35.0b | (-.f64 x (pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 2)) | |
| 38.4b | (*.f64 (sin.f64 y) (neg.f64 z)) | |
| ✓ | 0.1b | (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y))) |
| ✓ | 0.1b | (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 30.5b | (-.f64 x (*.f64 y z)) | |
| 30.5b | (fma.f64 (neg.f64 y) z x) | |
| ✓ | 15.6b | (-.f64 x (*.f64 z (sin.f64 y))) |
| ▶ | 31.7b | (-.f64 x (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)) (*.f64 y z))) |
| 40.3b | (*.f64 (+.f64 (*.f64 y z) x) 1) | |
| 30.7b | (fma.f64 (*.f64 (cos.f64 y) (sqrt.f64 x)) (sqrt.f64 x) (*.f64 (sin.f64 y) (neg.f64 z))) | |
| 24.5b | (*.f64 (cos.f64 y) x) | |
| 39.3b | x | |
| 14.6b | (fma.f64 (*.f64 x (sqrt.f64 (cos.f64 y))) (cbrt.f64 (pow.f64 (cos.f64 y) 3/2)) (*.f64 (sin.f64 y) (neg.f64 z))) | |
| ▶ | 32.0b | (+.f64 x (*.f64 y (-.f64 (*.f64 y (*.f64 x -1/2)) z))) |
| 47.1b | (-.f64 (+.f64 1 (+.f64 (*.f64 y z) x)) 1) |
Compiled 534 to 365 computations (31.6% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.1b | (*.f64 (cos.f64 y) (pow.f64 (cbrt.f64 x) 2)) |
| ✓ | 0.2b | (fma.f64 (*.f64 (cos.f64 y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.f64 (sin.f64 y) (neg.f64 z))) |
| ✓ | 0.5b | (pow.f64 (cbrt.f64 x) 2) |
| ✓ | 0.6b | (cbrt.f64 x) |
Compiled 46 to 18 computations (60.9% saved)
21 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | y | @ | inf | (fma.f64 (*.f64 (cos.f64 y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.f64 (sin.f64 y) (neg.f64 z))) |
| 2.0ms | x | @ | -inf | (pow.f64 (cbrt.f64 x) 2) |
| 2.0ms | x | @ | -inf | (fma.f64 (*.f64 (cos.f64 y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.f64 (sin.f64 y) (neg.f64 z))) |
| 2.0ms | z | @ | 0 | (fma.f64 (*.f64 (cos.f64 y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.f64 (sin.f64 y) (neg.f64 z))) |
| 1.0ms | y | @ | 0 | (fma.f64 (*.f64 (cos.f64 y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.f64 (sin.f64 y) (neg.f64 z))) |
| 1× | batch-egg-rewrite |
| 552× | log-prod_binary64 |
| 356× | pow-prod-down_binary64 |
| 294× | pow2_binary64 |
| 267× | prod-diff_binary64 |
| 220× | pow-unpow_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 44 |
| 1 | 263 | 34 |
| 2 | 3098 | 32 |
| 1× | node limit |
| Inputs |
|---|
(cbrt.f64 x) |
(pow.f64 (cbrt.f64 x) 2) |
(fma.f64 (*.f64 (cos.f64 y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.f64 (sin.f64 y) (neg.f64 z))) |
(*.f64 (cos.f64 y) (pow.f64 (cbrt.f64 x) 2)) |
| 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 (cbrt.f64 (*.f64 x (cbrt.f64 x)))) (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 expm1.f64 (log1p.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 +.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) (cbrt.f64 (*.f64 x (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x (cbrt.f64 x))) (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 expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 x) 2)))))) (#(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)))))) |
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(sqrt.f64 z))))) (fma.f64 (neg.f64 (sqrt.f64 z)) (*.f64 (sin.f64 y) (sqrt.f64 z)) (*.f64 (sqrt.f64 z) (*.f64 (sin.f64 y) (sqrt.f64 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1 (*.f64 (cos.f64 y) x) (neg.f64 (*.f64 (sqrt.f64 z) (*.f64 (sin.f64 y) (sqrt.f64 z))))) (fma.f64 (neg.f64 (sqrt.f64 z)) (*.f64 (sin.f64 y) (sqrt.f64 z)) (*.f64 (sqrt.f64 z) (*.f64 (sin.f64 y) (sqrt.f64 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (cbrt.f64 (pow.f64 (*.f64 (cbrt.f64 x) (sqrt.f64 (cos.f64 y))) 4)) (*.f64 (cbrt.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (cos.f64 y))) (cbrt.f64 x)) (neg.f64 (*.f64 (sqrt.f64 z) (*.f64 (sin.f64 y) (sqrt.f64 z))))) (fma.f64 (neg.f64 (sqrt.f64 z)) (*.f64 (sin.f64 y) (sqrt.f64 z)) (*.f64 (sqrt.f64 z) (*.f64 (sin.f64 y) (sqrt.f64 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (*.f64 (cbrt.f64 x) (sqrt.f64 (cos.f64 y))) (*.f64 (*.f64 (cbrt.f64 x) (sqrt.f64 (cos.f64 y))) (cbrt.f64 x)) (neg.f64 (*.f64 (sqrt.f64 z) (*.f64 (sin.f64 y) (sqrt.f64 z))))) (fma.f64 (neg.f64 (sqrt.f64 z)) (*.f64 (sin.f64 y) (sqrt.f64 z)) (*.f64 (sqrt.f64 z) (*.f64 (sin.f64 y) (sqrt.f64 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)) 2) (cbrt.f64 (*.f64 (cos.f64 y) x)) (neg.f64 (*.f64 (sqrt.f64 z) (*.f64 (sin.f64 y) (sqrt.f64 z))))) (fma.f64 (neg.f64 (sqrt.f64 z)) (*.f64 (sin.f64 y) (sqrt.f64 z)) (*.f64 (sqrt.f64 z) (*.f64 (sin.f64 y) (sqrt.f64 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (sqrt.f64 (*.f64 (cos.f64 y) x)) (sqrt.f64 (*.f64 (cos.f64 y) x)) (neg.f64 (*.f64 (sqrt.f64 z) (*.f64 (sin.f64 y) (sqrt.f64 z))))) (fma.f64 (neg.f64 (sqrt.f64 z)) (*.f64 (sin.f64 y) (sqrt.f64 z)) (*.f64 (sqrt.f64 z) (*.f64 (sin.f64 y) (sqrt.f64 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (pow.f64 (*.f64 (*.f64 (cbrt.f64 x) (sqrt.f64 (cos.f64 y))) (cbrt.f64 (cbrt.f64 x))) 2) (cbrt.f64 (cbrt.f64 x)) (neg.f64 (*.f64 (sqrt.f64 z) (*.f64 (sin.f64 y) (sqrt.f64 z))))) (fma.f64 (neg.f64 (sqrt.f64 z)) (*.f64 (sin.f64 y) (sqrt.f64 z)) (*.f64 (sqrt.f64 z) (*.f64 (sin.f64 y) (sqrt.f64 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (*.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (cos.f64 y)) (pow.f64 x 1/6)) (pow.f64 x 1/6) (neg.f64 (*.f64 (sqrt.f64 z) (*.f64 (sin.f64 y) (sqrt.f64 z))))) (fma.f64 (neg.f64 (sqrt.f64 z)) (*.f64 (sin.f64 y) (sqrt.f64 z)) (*.f64 (sqrt.f64 z) (*.f64 (sin.f64 y) (sqrt.f64 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (cos.f64 y) x) (*.f64 (sin.f64 y) z))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))) (pow.f64 (cbrt.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))) 2) (cbrt.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))) (sqrt.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) x) 3) (pow.f64 (*.f64 (sin.f64 y) z) 3)) (+.f64 (pow.f64 (*.f64 (cos.f64 y) x) 2) (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) 2) (*.f64 (*.f64 (cos.f64 y) x) (*.f64 (sin.f64 y) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) 2) (pow.f64 (*.f64 (sin.f64 y) z) 2)) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (exp.f64 (*.f64 (cos.f64 y) x)) (pow.f64 (exp.f64 z) (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (exp.f64 (*.f64 (cos.f64 y) x)) (+.f64 1 (expm1.f64 (*.f64 (sin.f64 y) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (exp.f64 z) (sin.f64 y)) (exp.f64 (*.f64 (cos.f64 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 y) z))) (exp.f64 (*.f64 (cos.f64 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (*.f64 (cos.f64 y) x)) (+.f64 1 (expm1.f64 (*.f64 (sin.f64 y) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))) 1) 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (pow.f64 (cbrt.f64 x) 2) (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (cos.f64 y)) (pow.f64 (cbrt.f64 x) 2))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (cos.f64 y)) (pow.f64 (cbrt.f64 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (cos.f64 y)) (pow.f64 (cbrt.f64 x) 2)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (cos.f64 y)) (pow.f64 (cbrt.f64 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (cos.f64 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (cos.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (cbrt.f64 x) (sqrt.f64 (cos.f64 y))) 4) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 x x) (pow.f64 (cos.f64 y) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (cos.f64 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (cbrt.f64 x) (sqrt.f64 (cos.f64 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (cbrt.f64 x) (sqrt.f64 (cos.f64 y))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (cos.f64 y)) (pow.f64 (cbrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (*.f64 x x) (pow.f64 (cos.f64 y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 (cos.f64 y)) (*.f64 2/3 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (+.f64 (log.f64 (cos.f64 y)) (*.f64 2/3 (log.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 x x) (pow.f64 (cos.f64 y) 3))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (cos.f64 y)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (cbrt.f64 x) (sqrt.f64 (cos.f64 y)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (+.f64 (log.f64 (cos.f64 y)) (*.f64 2/3 (log.f64 x))) 1) 1)))))) |
| 1× | egg-herbie |
| 921× | fma-neg_binary64 |
| 449× | distribute-rgt-neg-in_binary64 |
| 364× | *-commutative_binary64 |
| 322× | distribute-lft-neg-in_binary64 |
| 318× | cancel-sign-sub-inv_binary64 |
Useful iterations: 5 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 57 | 628 |
| 1 | 170 | 539 |
| 2 | 465 | 521 |
| 3 | 1616 | 512 |
| 4 | 3451 | 507 |
| 5 | 5027 | 503 |
| 6 | 7329 | 503 |
| 1× | node limit |
| Inputs |
|---|
(*.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 -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) (*.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))) |
(pow.f64 (pow.f64 x 2) 1/3) |
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 (*.f64 1 (pow.f64 x 2)) 1/3) (pow.f64 y 2))) (pow.f64 (pow.f64 x 2) 1/3)) |
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 (*.f64 1 (pow.f64 x 2)) 1/3) (pow.f64 y 2))) (+.f64 (*.f64 1/24 (*.f64 (pow.f64 (*.f64 1 (pow.f64 x 2)) 1/3) (pow.f64 y 4))) (pow.f64 (pow.f64 x 2) 1/3))) |
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 (*.f64 1 (pow.f64 x 2)) 1/3) (pow.f64 y 2))) (+.f64 (*.f64 1/24 (*.f64 (pow.f64 (*.f64 1 (pow.f64 x 2)) 1/3) (pow.f64 y 4))) (+.f64 (pow.f64 (pow.f64 x 2) 1/3) (*.f64 -1/720 (*.f64 (pow.f64 (*.f64 1 (pow.f64 x 2)) 1/3) (pow.f64 y 6)))))) |
(*.f64 (pow.f64 (*.f64 1 (pow.f64 x 2)) 1/3) (cos.f64 y)) |
(*.f64 (pow.f64 (*.f64 1 (pow.f64 x 2)) 1/3) (cos.f64 y)) |
(*.f64 (pow.f64 (*.f64 1 (pow.f64 x 2)) 1/3) (cos.f64 y)) |
(*.f64 (pow.f64 (*.f64 1 (pow.f64 x 2)) 1/3) (cos.f64 y)) |
(*.f64 (pow.f64 (*.f64 1 (pow.f64 x 2)) 1/3) (cos.f64 y)) |
(*.f64 (pow.f64 (*.f64 1 (pow.f64 x 2)) 1/3) (cos.f64 y)) |
(*.f64 (pow.f64 (*.f64 1 (pow.f64 x 2)) 1/3) (cos.f64 y)) |
(*.f64 (pow.f64 (*.f64 1 (pow.f64 x 2)) 1/3) (cos.f64 y)) |
| Outputs |
|---|
(*.f64 (pow.f64 1 1/3) x) |
(*.f64 1 x) |
x |
(+.f64 (*.f64 (pow.f64 1 1/3) x) (*.f64 -1 (*.f64 y z))) |
(fma.f64 1 x (neg.f64 (*.f64 y z))) |
(-.f64 x (*.f64 y z)) |
(fma.f64 z (neg.f64 y) 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 (fma.f64 1 x (neg.f64 (*.f64 y z))) (*.f64 -1/2 (*.f64 x (*.f64 y y)))) |
(fma.f64 -1/2 (*.f64 x (*.f64 y y)) (-.f64 x (*.f64 y z))) |
(-.f64 (fma.f64 -1/2 (*.f64 x (*.f64 y y)) x) (*.f64 y z)) |
(+.f64 x (*.f64 y (-.f64 (*.f64 y (*.f64 x -1/2)) z))) |
(+.f64 x (*.f64 y (fma.f64 -1/2 (*.f64 x y) (neg.f64 z)))) |
(fma.f64 y (fma.f64 -1/2 (*.f64 x 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 (*.f64 -1 (*.f64 y z)) (*.f64 1/6 (*.f64 (pow.f64 y 3) z))))) |
(+.f64 (*.f64 -1/2 (*.f64 x (*.f64 y y))) (fma.f64 1 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 z (-.f64 (*.f64 1/6 (pow.f64 y 3)) y) (fma.f64 -1/2 (*.f64 x (*.f64 y 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 x (*.f64 -1/2 (*.f64 y y)) (fma.f64 z (-.f64 (*.f64 1/6 (pow.f64 y 3)) y) x)) |
(fma.f64 y (fma.f64 y (*.f64 x -1/2) (*.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)))) |
(fma.f64 (cos.f64 y) x (*.f64 z (neg.f64 (sin.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)))) |
(fma.f64 (cos.f64 y) x (*.f64 z (neg.f64 (sin.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)))) |
(fma.f64 (cos.f64 y) x (*.f64 z (neg.f64 (sin.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)))) |
(fma.f64 (cos.f64 y) x (*.f64 z (neg.f64 (sin.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)))) |
(fma.f64 (cos.f64 y) x (*.f64 z (neg.f64 (sin.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)))) |
(fma.f64 (cos.f64 y) x (*.f64 z (neg.f64 (sin.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)))) |
(fma.f64 (cos.f64 y) x (*.f64 z (neg.f64 (sin.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)))) |
(fma.f64 (cos.f64 y) x (*.f64 z (neg.f64 (sin.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 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 (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)))) |
(fma.f64 (cos.f64 y) x (*.f64 z (neg.f64 (sin.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)))) |
(fma.f64 (cos.f64 y) x (*.f64 z (neg.f64 (sin.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)))) |
(fma.f64 (cos.f64 y) x (*.f64 z (neg.f64 (sin.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 z (neg.f64 (sin.f64 y))) |
(*.f64 (sin.f64 y) (neg.f64 z)) |
(+.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)))) |
(fma.f64 (cos.f64 y) x (*.f64 z (neg.f64 (sin.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)))) |
(fma.f64 (cos.f64 y) x (*.f64 z (neg.f64 (sin.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)))) |
(fma.f64 (cos.f64 y) x (*.f64 z (neg.f64 (sin.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 z (neg.f64 (sin.f64 y))) |
(*.f64 (sin.f64 y) (neg.f64 z)) |
(+.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)))) |
(fma.f64 (cos.f64 y) x (*.f64 z (neg.f64 (sin.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)))) |
(fma.f64 (cos.f64 y) x (*.f64 z (neg.f64 (sin.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)))) |
(fma.f64 (cos.f64 y) x (*.f64 z (neg.f64 (sin.f64 y)))) |
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(pow.f64 (pow.f64 x 2) 1/3) |
(cbrt.f64 (*.f64 x x)) |
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 (*.f64 1 (pow.f64 x 2)) 1/3) (pow.f64 y 2))) (pow.f64 (pow.f64 x 2) 1/3)) |
(fma.f64 -1/2 (*.f64 (*.f64 y y) (cbrt.f64 (*.f64 x x))) (cbrt.f64 (*.f64 x x))) |
(fma.f64 -1/2 (*.f64 y (*.f64 y (cbrt.f64 (*.f64 x x)))) (cbrt.f64 (*.f64 x x))) |
(*.f64 (+.f64 (*.f64 -1/2 (*.f64 y y)) 1) (cbrt.f64 (*.f64 x x))) |
(*.f64 (cbrt.f64 (*.f64 x x)) (+.f64 1 (*.f64 -1/2 (*.f64 y y)))) |
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 (*.f64 1 (pow.f64 x 2)) 1/3) (pow.f64 y 2))) (+.f64 (*.f64 1/24 (*.f64 (pow.f64 (*.f64 1 (pow.f64 x 2)) 1/3) (pow.f64 y 4))) (pow.f64 (pow.f64 x 2) 1/3))) |
(fma.f64 -1/2 (*.f64 (*.f64 y y) (cbrt.f64 (*.f64 x x))) (fma.f64 1/24 (*.f64 (cbrt.f64 (*.f64 x x)) (pow.f64 y 4)) (cbrt.f64 (*.f64 x x)))) |
(fma.f64 -1/2 (*.f64 y (*.f64 y (cbrt.f64 (*.f64 x x)))) (fma.f64 1/24 (*.f64 (cbrt.f64 (*.f64 x x)) (pow.f64 y 4)) (cbrt.f64 (*.f64 x x)))) |
(+.f64 (cbrt.f64 (*.f64 x x)) (*.f64 (cbrt.f64 (*.f64 x x)) (+.f64 (*.f64 -1/2 (*.f64 y y)) (*.f64 1/24 (pow.f64 y 4))))) |
(*.f64 (cbrt.f64 (*.f64 x x)) (+.f64 (*.f64 -1/2 (*.f64 y y)) (+.f64 1 (*.f64 1/24 (pow.f64 y 4))))) |
(*.f64 (cbrt.f64 (*.f64 x x)) (+.f64 1 (+.f64 (*.f64 -1/2 (*.f64 y y)) (*.f64 1/24 (pow.f64 y 4))))) |
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 (*.f64 1 (pow.f64 x 2)) 1/3) (pow.f64 y 2))) (+.f64 (*.f64 1/24 (*.f64 (pow.f64 (*.f64 1 (pow.f64 x 2)) 1/3) (pow.f64 y 4))) (+.f64 (pow.f64 (pow.f64 x 2) 1/3) (*.f64 -1/720 (*.f64 (pow.f64 (*.f64 1 (pow.f64 x 2)) 1/3) (pow.f64 y 6)))))) |
(fma.f64 -1/2 (*.f64 (*.f64 y y) (cbrt.f64 (*.f64 x x))) (+.f64 (fma.f64 1/24 (*.f64 (cbrt.f64 (*.f64 x x)) (pow.f64 y 4)) (cbrt.f64 (*.f64 x x))) (*.f64 -1/720 (*.f64 (cbrt.f64 (*.f64 x x)) (pow.f64 y 6))))) |
(fma.f64 -1/2 (*.f64 y (*.f64 y (cbrt.f64 (*.f64 x x)))) (fma.f64 1/24 (*.f64 (cbrt.f64 (*.f64 x x)) (pow.f64 y 4)) (fma.f64 -1/720 (*.f64 (cbrt.f64 (*.f64 x x)) (pow.f64 y 6)) (cbrt.f64 (*.f64 x x))))) |
(+.f64 (*.f64 (+.f64 (*.f64 -1/2 (*.f64 y y)) 1) (cbrt.f64 (*.f64 x x))) (*.f64 (cbrt.f64 (*.f64 x x)) (+.f64 (*.f64 -1/720 (pow.f64 y 6)) (*.f64 1/24 (pow.f64 y 4))))) |
(+.f64 (cbrt.f64 (*.f64 x x)) (*.f64 (cbrt.f64 (*.f64 x 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 (*.f64 x x)) (+.f64 (+.f64 1 (*.f64 -1/2 (*.f64 y y))) (+.f64 (*.f64 -1/720 (pow.f64 y 6)) (*.f64 1/24 (pow.f64 y 4))))) |
(*.f64 (cbrt.f64 (*.f64 x x)) (+.f64 1 (+.f64 (*.f64 -1/720 (pow.f64 y 6)) (+.f64 (*.f64 -1/2 (*.f64 y y)) (*.f64 1/24 (pow.f64 y 4)))))) |
(*.f64 (pow.f64 (*.f64 1 (pow.f64 x 2)) 1/3) (cos.f64 y)) |
(*.f64 (cos.f64 y) (cbrt.f64 (*.f64 x x))) |
(*.f64 (pow.f64 (*.f64 1 (pow.f64 x 2)) 1/3) (cos.f64 y)) |
(*.f64 (cos.f64 y) (cbrt.f64 (*.f64 x x))) |
(*.f64 (pow.f64 (*.f64 1 (pow.f64 x 2)) 1/3) (cos.f64 y)) |
(*.f64 (cos.f64 y) (cbrt.f64 (*.f64 x x))) |
(*.f64 (pow.f64 (*.f64 1 (pow.f64 x 2)) 1/3) (cos.f64 y)) |
(*.f64 (cos.f64 y) (cbrt.f64 (*.f64 x x))) |
(*.f64 (pow.f64 (*.f64 1 (pow.f64 x 2)) 1/3) (cos.f64 y)) |
(*.f64 (cos.f64 y) (cbrt.f64 (*.f64 x x))) |
(*.f64 (pow.f64 (*.f64 1 (pow.f64 x 2)) 1/3) (cos.f64 y)) |
(*.f64 (cos.f64 y) (cbrt.f64 (*.f64 x x))) |
(*.f64 (pow.f64 (*.f64 1 (pow.f64 x 2)) 1/3) (cos.f64 y)) |
(*.f64 (cos.f64 y) (cbrt.f64 (*.f64 x x))) |
(*.f64 (pow.f64 (*.f64 1 (pow.f64 x 2)) 1/3) (cos.f64 y)) |
(*.f64 (cos.f64 y) (cbrt.f64 (*.f64 x x))) |
Compiled 11 to 5 computations (54.5% saved)
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (-.f64 (*.f64 y (*.f64 x -1/2)) z) |
| ✓ | 0.0b | (+.f64 x (*.f64 y (-.f64 (*.f64 y (*.f64 x -1/2)) z))) |
| ✓ | 0.1b | (*.f64 y (-.f64 (*.f64 y (*.f64 x -1/2)) z)) |
Compiled 42 to 24 computations (42.9% saved)
27 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | -inf | (*.f64 y (-.f64 (*.f64 y (*.f64 x -1/2)) z)) |
| 1.0ms | y | @ | 0 | (*.f64 y (-.f64 (*.f64 y (*.f64 x -1/2)) z)) |
| 1.0ms | y | @ | inf | (*.f64 y (-.f64 (*.f64 y (*.f64 x -1/2)) z)) |
| 1.0ms | y | @ | -inf | (*.f64 y (-.f64 (*.f64 y (*.f64 x -1/2)) z)) |
| 1.0ms | x | @ | inf | (*.f64 y (-.f64 (*.f64 y (*.f64 x -1/2)) z)) |
| 1× | batch-egg-rewrite |
| 586× | log-prod_binary64 |
| 478× | fma-def_binary64 |
| 424× | pow-prod-down_binary64 |
| 304× | pow2_binary64 |
| 245× | fma-neg_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 39 |
| 1 | 223 | 37 |
| 2 | 3162 | 37 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 y (-.f64 (*.f64 y (*.f64 x -1/2)) z)) |
(+.f64 x (*.f64 y (-.f64 (*.f64 y (*.f64 x -1/2)) z))) |
(-.f64 (*.f64 y (*.f64 x -1/2)) z) |
| Outputs |
|---|
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| 1× | egg-herbie |
| 608× | fma-def_binary64 |
| 606× | fma-neg_binary64 |
| 498× | unswap-sqr_binary64 |
| 366× | distribute-rgt-neg-in_binary64 |
| 316× | cancel-sign-sub-inv_binary64 |
Useful iterations: 11 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 31 | 1477 |
| 1 | 80 | 1342 |
| 2 | 186 | 1342 |
| 3 | 445 | 1231 |
| 4 | 1374 | 1183 |
| 5 | 3975 | 1183 |
| 6 | 5404 | 1183 |
| 7 | 6045 | 1183 |
| 8 | 7034 | 1183 |
| 9 | 7238 | 1183 |
| 10 | 7491 | 1183 |
| 11 | 7771 | 1167 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -1 (*.f64 y z)) |
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 -1/2 (*.f64 (pow.f64 y 2) x))) |
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 -1/2 (*.f64 (pow.f64 y 2) x))) |
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 -1/2 (*.f64 (pow.f64 y 2) x))) |
(*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) |
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 -1/2 (*.f64 (pow.f64 y 2) x))) |
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 -1/2 (*.f64 (pow.f64 y 2) x))) |
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 -1/2 (*.f64 (pow.f64 y 2) x))) |
(*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) |
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 -1/2 (*.f64 (pow.f64 y 2) x))) |
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 -1/2 (*.f64 (pow.f64 y 2) x))) |
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 -1/2 (*.f64 (pow.f64 y 2) x))) |
(*.f64 -1 (*.f64 y z)) |
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 -1/2 (*.f64 (pow.f64 y 2) x))) |
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 -1/2 (*.f64 (pow.f64 y 2) x))) |
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 -1/2 (*.f64 (pow.f64 y 2) x))) |
(*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) |
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 -1/2 (*.f64 (pow.f64 y 2) x))) |
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 -1/2 (*.f64 (pow.f64 y 2) x))) |
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 -1/2 (*.f64 (pow.f64 y 2) x))) |
(*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) |
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 -1/2 (*.f64 (pow.f64 y 2) x))) |
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 -1/2 (*.f64 (pow.f64 y 2) x))) |
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 -1/2 (*.f64 (pow.f64 y 2) x))) |
(*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) |
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 -1/2 (*.f64 (pow.f64 y 2) x))) |
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 -1/2 (*.f64 (pow.f64 y 2) x))) |
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 -1/2 (*.f64 (pow.f64 y 2) x))) |
(*.f64 -1 (*.f64 y z)) |
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 -1/2 (*.f64 (pow.f64 y 2) x))) |
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 -1/2 (*.f64 (pow.f64 y 2) x))) |
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 -1/2 (*.f64 (pow.f64 y 2) x))) |
(*.f64 -1 (*.f64 y z)) |
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 -1/2 (*.f64 (pow.f64 y 2) x))) |
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 -1/2 (*.f64 (pow.f64 y 2) x))) |
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 -1/2 (*.f64 (pow.f64 y 2) x))) |
(*.f64 -1 (*.f64 y z)) |
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 y 2))) x)) |
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 y 2))) x)) |
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 y 2))) x)) |
(*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 y 2))) x) |
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 y 2))) x)) |
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 y 2))) x)) |
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 y 2))) x)) |
(*.f64 -1 (*.f64 (-.f64 (*.f64 1/2 (pow.f64 y 2)) 1) x)) |
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 -1 (*.f64 (-.f64 (*.f64 1/2 (pow.f64 y 2)) 1) x))) |
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 -1 (*.f64 (-.f64 (*.f64 1/2 (pow.f64 y 2)) 1) x))) |
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 -1 (*.f64 (-.f64 (*.f64 1/2 (pow.f64 y 2)) 1) 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)) x)) |
(*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) |
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 -1/2 (*.f64 (pow.f64 y 2) 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)) x)) |
(*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) |
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 -1/2 (*.f64 (pow.f64 y 2) 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)) x)) |
(+.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)) 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)) x)) |
(*.f64 -1 (*.f64 y z)) |
(+.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)) x)) |
(+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) x)) |
(*.f64 -1 (*.f64 y z)) |
(+.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)) x)) |
(+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) x)) |
(*.f64 -1 z) |
(+.f64 (*.f64 -1 z) (*.f64 -1/2 (*.f64 y x))) |
(+.f64 (*.f64 -1 z) (*.f64 -1/2 (*.f64 y x))) |
(+.f64 (*.f64 -1 z) (*.f64 -1/2 (*.f64 y x))) |
(*.f64 -1/2 (*.f64 y x)) |
(+.f64 (*.f64 -1 z) (*.f64 -1/2 (*.f64 y x))) |
(+.f64 (*.f64 -1 z) (*.f64 -1/2 (*.f64 y x))) |
(+.f64 (*.f64 -1 z) (*.f64 -1/2 (*.f64 y x))) |
(*.f64 -1/2 (*.f64 y x)) |
(+.f64 (*.f64 -1 z) (*.f64 -1/2 (*.f64 y x))) |
(+.f64 (*.f64 -1 z) (*.f64 -1/2 (*.f64 y x))) |
(+.f64 (*.f64 -1 z) (*.f64 -1/2 (*.f64 y x))) |
(*.f64 -1 z) |
(+.f64 (*.f64 -1 z) (*.f64 -1/2 (*.f64 y x))) |
(+.f64 (*.f64 -1 z) (*.f64 -1/2 (*.f64 y x))) |
(+.f64 (*.f64 -1 z) (*.f64 -1/2 (*.f64 y x))) |
(*.f64 -1/2 (*.f64 y x)) |
(+.f64 (*.f64 -1 z) (*.f64 -1/2 (*.f64 y x))) |
(+.f64 (*.f64 -1 z) (*.f64 -1/2 (*.f64 y x))) |
(+.f64 (*.f64 -1 z) (*.f64 -1/2 (*.f64 y x))) |
(*.f64 -1/2 (*.f64 y x)) |
(+.f64 (*.f64 -1 z) (*.f64 -1/2 (*.f64 y x))) |
(+.f64 (*.f64 -1 z) (*.f64 -1/2 (*.f64 y x))) |
(+.f64 (*.f64 -1 z) (*.f64 -1/2 (*.f64 y x))) |
(*.f64 -1/2 (*.f64 y x)) |
(+.f64 (*.f64 -1 z) (*.f64 -1/2 (*.f64 y x))) |
(+.f64 (*.f64 -1 z) (*.f64 -1/2 (*.f64 y x))) |
(+.f64 (*.f64 -1 z) (*.f64 -1/2 (*.f64 y x))) |
(*.f64 -1 z) |
(+.f64 (*.f64 -1 z) (*.f64 -1/2 (*.f64 y x))) |
(+.f64 (*.f64 -1 z) (*.f64 -1/2 (*.f64 y x))) |
(+.f64 (*.f64 -1 z) (*.f64 -1/2 (*.f64 y x))) |
(*.f64 -1 z) |
(+.f64 (*.f64 -1 z) (*.f64 -1/2 (*.f64 y x))) |
(+.f64 (*.f64 -1 z) (*.f64 -1/2 (*.f64 y x))) |
(+.f64 (*.f64 -1 z) (*.f64 -1/2 (*.f64 y x))) |
| Outputs |
|---|
(*.f64 -1 (*.f64 y z)) |
(neg.f64 (*.f64 y z)) |
(*.f64 z (neg.f64 y)) |
(*.f64 y (neg.f64 z)) |
(*.f64 y z) |
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 -1/2 (*.f64 (pow.f64 y 2) x))) |
(fma.f64 -1 (*.f64 y z) (*.f64 -1/2 (*.f64 (*.f64 y y) x))) |
(-.f64 (*.f64 -1/2 (*.f64 y (*.f64 y x))) (*.f64 y z)) |
(-.f64 (*.f64 y (*.f64 -1/2 (*.f64 y x))) (*.f64 y z)) |
(*.f64 y (-.f64 (*.f64 -1/2 (*.f64 y x)) z)) |
(*.f64 y (+.f64 z (*.f64 y (*.f64 x 1/2)))) |
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 -1/2 (*.f64 (pow.f64 y 2) x))) |
(fma.f64 -1 (*.f64 y z) (*.f64 -1/2 (*.f64 (*.f64 y y) x))) |
(-.f64 (*.f64 -1/2 (*.f64 y (*.f64 y x))) (*.f64 y z)) |
(-.f64 (*.f64 y (*.f64 -1/2 (*.f64 y x))) (*.f64 y z)) |
(*.f64 y (-.f64 (*.f64 -1/2 (*.f64 y x)) z)) |
(*.f64 y (+.f64 z (*.f64 y (*.f64 x 1/2)))) |
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 -1/2 (*.f64 (pow.f64 y 2) x))) |
(fma.f64 -1 (*.f64 y z) (*.f64 -1/2 (*.f64 (*.f64 y y) x))) |
(-.f64 (*.f64 -1/2 (*.f64 y (*.f64 y x))) (*.f64 y z)) |
(-.f64 (*.f64 y (*.f64 -1/2 (*.f64 y x))) (*.f64 y z)) |
(*.f64 y (-.f64 (*.f64 -1/2 (*.f64 y x)) z)) |
(*.f64 y (+.f64 z (*.f64 y (*.f64 x 1/2)))) |
(*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) |
(*.f64 -1/2 (*.f64 (*.f64 y y) x)) |
(*.f64 -1/2 (*.f64 y (*.f64 y x))) |
(*.f64 y (*.f64 -1/2 (*.f64 y x))) |
(*.f64 (*.f64 y x) (*.f64 y -1/2)) |
(*.f64 y (*.f64 y (*.f64 x 1/2))) |
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 -1/2 (*.f64 (pow.f64 y 2) x))) |
(fma.f64 -1 (*.f64 y z) (*.f64 -1/2 (*.f64 (*.f64 y y) x))) |
(-.f64 (*.f64 -1/2 (*.f64 y (*.f64 y x))) (*.f64 y z)) |
(-.f64 (*.f64 y (*.f64 -1/2 (*.f64 y x))) (*.f64 y z)) |
(*.f64 y (-.f64 (*.f64 -1/2 (*.f64 y x)) z)) |
(*.f64 y (+.f64 z (*.f64 y (*.f64 x 1/2)))) |
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 -1/2 (*.f64 (pow.f64 y 2) x))) |
(fma.f64 -1 (*.f64 y z) (*.f64 -1/2 (*.f64 (*.f64 y y) x))) |
(-.f64 (*.f64 -1/2 (*.f64 y (*.f64 y x))) (*.f64 y z)) |
(-.f64 (*.f64 y (*.f64 -1/2 (*.f64 y x))) (*.f64 y z)) |
(*.f64 y (-.f64 (*.f64 -1/2 (*.f64 y x)) z)) |
(*.f64 y (+.f64 z (*.f64 y (*.f64 x 1/2)))) |
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 -1/2 (*.f64 (pow.f64 y 2) x))) |
(fma.f64 -1 (*.f64 y z) (*.f64 -1/2 (*.f64 (*.f64 y y) x))) |
(-.f64 (*.f64 -1/2 (*.f64 y (*.f64 y x))) (*.f64 y z)) |
(-.f64 (*.f64 y (*.f64 -1/2 (*.f64 y x))) (*.f64 y z)) |
(*.f64 y (-.f64 (*.f64 -1/2 (*.f64 y x)) z)) |
(*.f64 y (+.f64 z (*.f64 y (*.f64 x 1/2)))) |
(*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) |
(*.f64 -1/2 (*.f64 (*.f64 y y) x)) |
(*.f64 -1/2 (*.f64 y (*.f64 y x))) |
(*.f64 y (*.f64 -1/2 (*.f64 y x))) |
(*.f64 (*.f64 y x) (*.f64 y -1/2)) |
(*.f64 y (*.f64 y (*.f64 x 1/2))) |
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 -1/2 (*.f64 (pow.f64 y 2) x))) |
(fma.f64 -1 (*.f64 y z) (*.f64 -1/2 (*.f64 (*.f64 y y) x))) |
(-.f64 (*.f64 -1/2 (*.f64 y (*.f64 y x))) (*.f64 y z)) |
(-.f64 (*.f64 y (*.f64 -1/2 (*.f64 y x))) (*.f64 y z)) |
(*.f64 y (-.f64 (*.f64 -1/2 (*.f64 y x)) z)) |
(*.f64 y (+.f64 z (*.f64 y (*.f64 x 1/2)))) |
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 -1/2 (*.f64 (pow.f64 y 2) x))) |
(fma.f64 -1 (*.f64 y z) (*.f64 -1/2 (*.f64 (*.f64 y y) x))) |
(-.f64 (*.f64 -1/2 (*.f64 y (*.f64 y x))) (*.f64 y z)) |
(-.f64 (*.f64 y (*.f64 -1/2 (*.f64 y x))) (*.f64 y z)) |
(*.f64 y (-.f64 (*.f64 -1/2 (*.f64 y x)) z)) |
(*.f64 y (+.f64 z (*.f64 y (*.f64 x 1/2)))) |
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 -1/2 (*.f64 (pow.f64 y 2) x))) |
(fma.f64 -1 (*.f64 y z) (*.f64 -1/2 (*.f64 (*.f64 y y) x))) |
(-.f64 (*.f64 -1/2 (*.f64 y (*.f64 y x))) (*.f64 y z)) |
(-.f64 (*.f64 y (*.f64 -1/2 (*.f64 y x))) (*.f64 y z)) |
(*.f64 y (-.f64 (*.f64 -1/2 (*.f64 y x)) z)) |
(*.f64 y (+.f64 z (*.f64 y (*.f64 x 1/2)))) |
(*.f64 -1 (*.f64 y z)) |
(neg.f64 (*.f64 y z)) |
(*.f64 z (neg.f64 y)) |
(*.f64 y (neg.f64 z)) |
(*.f64 y z) |
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 -1/2 (*.f64 (pow.f64 y 2) x))) |
(fma.f64 -1 (*.f64 y z) (*.f64 -1/2 (*.f64 (*.f64 y y) x))) |
(-.f64 (*.f64 -1/2 (*.f64 y (*.f64 y x))) (*.f64 y z)) |
(-.f64 (*.f64 y (*.f64 -1/2 (*.f64 y x))) (*.f64 y z)) |
(*.f64 y (-.f64 (*.f64 -1/2 (*.f64 y x)) z)) |
(*.f64 y (+.f64 z (*.f64 y (*.f64 x 1/2)))) |
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 -1/2 (*.f64 (pow.f64 y 2) x))) |
(fma.f64 -1 (*.f64 y z) (*.f64 -1/2 (*.f64 (*.f64 y y) x))) |
(-.f64 (*.f64 -1/2 (*.f64 y (*.f64 y x))) (*.f64 y z)) |
(-.f64 (*.f64 y (*.f64 -1/2 (*.f64 y x))) (*.f64 y z)) |
(*.f64 y (-.f64 (*.f64 -1/2 (*.f64 y x)) z)) |
(*.f64 y (+.f64 z (*.f64 y (*.f64 x 1/2)))) |
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 -1/2 (*.f64 (pow.f64 y 2) x))) |
(fma.f64 -1 (*.f64 y z) (*.f64 -1/2 (*.f64 (*.f64 y y) x))) |
(-.f64 (*.f64 -1/2 (*.f64 y (*.f64 y x))) (*.f64 y z)) |
(-.f64 (*.f64 y (*.f64 -1/2 (*.f64 y x))) (*.f64 y z)) |
(*.f64 y (-.f64 (*.f64 -1/2 (*.f64 y x)) z)) |
(*.f64 y (+.f64 z (*.f64 y (*.f64 x 1/2)))) |
(*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) |
(*.f64 -1/2 (*.f64 (*.f64 y y) x)) |
(*.f64 -1/2 (*.f64 y (*.f64 y x))) |
(*.f64 y (*.f64 -1/2 (*.f64 y x))) |
(*.f64 (*.f64 y x) (*.f64 y -1/2)) |
(*.f64 y (*.f64 y (*.f64 x 1/2))) |
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 -1/2 (*.f64 (pow.f64 y 2) x))) |
(fma.f64 -1 (*.f64 y z) (*.f64 -1/2 (*.f64 (*.f64 y y) x))) |
(-.f64 (*.f64 -1/2 (*.f64 y (*.f64 y x))) (*.f64 y z)) |
(-.f64 (*.f64 y (*.f64 -1/2 (*.f64 y x))) (*.f64 y z)) |
(*.f64 y (-.f64 (*.f64 -1/2 (*.f64 y x)) z)) |
(*.f64 y (+.f64 z (*.f64 y (*.f64 x 1/2)))) |
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 -1/2 (*.f64 (pow.f64 y 2) x))) |
(fma.f64 -1 (*.f64 y z) (*.f64 -1/2 (*.f64 (*.f64 y y) x))) |
(-.f64 (*.f64 -1/2 (*.f64 y (*.f64 y x))) (*.f64 y z)) |
(-.f64 (*.f64 y (*.f64 -1/2 (*.f64 y x))) (*.f64 y z)) |
(*.f64 y (-.f64 (*.f64 -1/2 (*.f64 y x)) z)) |
(*.f64 y (+.f64 z (*.f64 y (*.f64 x 1/2)))) |
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 -1/2 (*.f64 (pow.f64 y 2) x))) |
(fma.f64 -1 (*.f64 y z) (*.f64 -1/2 (*.f64 (*.f64 y y) x))) |
(-.f64 (*.f64 -1/2 (*.f64 y (*.f64 y x))) (*.f64 y z)) |
(-.f64 (*.f64 y (*.f64 -1/2 (*.f64 y x))) (*.f64 y z)) |
(*.f64 y (-.f64 (*.f64 -1/2 (*.f64 y x)) z)) |
(*.f64 y (+.f64 z (*.f64 y (*.f64 x 1/2)))) |
(*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) |
(*.f64 -1/2 (*.f64 (*.f64 y y) x)) |
(*.f64 -1/2 (*.f64 y (*.f64 y x))) |
(*.f64 y (*.f64 -1/2 (*.f64 y x))) |
(*.f64 (*.f64 y x) (*.f64 y -1/2)) |
(*.f64 y (*.f64 y (*.f64 x 1/2))) |
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 -1/2 (*.f64 (pow.f64 y 2) x))) |
(fma.f64 -1 (*.f64 y z) (*.f64 -1/2 (*.f64 (*.f64 y y) x))) |
(-.f64 (*.f64 -1/2 (*.f64 y (*.f64 y x))) (*.f64 y z)) |
(-.f64 (*.f64 y (*.f64 -1/2 (*.f64 y x))) (*.f64 y z)) |
(*.f64 y (-.f64 (*.f64 -1/2 (*.f64 y x)) z)) |
(*.f64 y (+.f64 z (*.f64 y (*.f64 x 1/2)))) |
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 -1/2 (*.f64 (pow.f64 y 2) x))) |
(fma.f64 -1 (*.f64 y z) (*.f64 -1/2 (*.f64 (*.f64 y y) x))) |
(-.f64 (*.f64 -1/2 (*.f64 y (*.f64 y x))) (*.f64 y z)) |
(-.f64 (*.f64 y (*.f64 -1/2 (*.f64 y x))) (*.f64 y z)) |
(*.f64 y (-.f64 (*.f64 -1/2 (*.f64 y x)) z)) |
(*.f64 y (+.f64 z (*.f64 y (*.f64 x 1/2)))) |
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 -1/2 (*.f64 (pow.f64 y 2) x))) |
(fma.f64 -1 (*.f64 y z) (*.f64 -1/2 (*.f64 (*.f64 y y) x))) |
(-.f64 (*.f64 -1/2 (*.f64 y (*.f64 y x))) (*.f64 y z)) |
(-.f64 (*.f64 y (*.f64 -1/2 (*.f64 y x))) (*.f64 y z)) |
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x |
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(+.f64 x (*.f64 y (-.f64 (*.f64 -1/2 (*.f64 y x)) z))) |
(fma.f64 y (-.f64 (*.f64 -1/2 (*.f64 y x)) z) x) |
(fma.f64 y (-.f64 (*.f64 y (*.f64 x 1/2)) z) x) |
(+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) x)) |
(fma.f64 -1 (*.f64 y z) (*.f64 x (+.f64 1 (*.f64 -1/2 (*.f64 y y))))) |
(-.f64 (*.f64 x (fma.f64 -1/2 (*.f64 y y) 1)) (*.f64 y z)) |
(+.f64 x (*.f64 y (-.f64 (*.f64 -1/2 (*.f64 y x)) z))) |
(fma.f64 y (-.f64 (*.f64 -1/2 (*.f64 y x)) z) x) |
(fma.f64 y (-.f64 (*.f64 y (*.f64 x 1/2)) z) x) |
(*.f64 -1 (*.f64 y z)) |
(neg.f64 (*.f64 y z)) |
(*.f64 z (neg.f64 y)) |
(*.f64 y (neg.f64 z)) |
(*.f64 y z) |
(+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) x)) |
(fma.f64 -1 (*.f64 y z) (*.f64 x (+.f64 1 (*.f64 -1/2 (*.f64 y y))))) |
(-.f64 (*.f64 x (fma.f64 -1/2 (*.f64 y y) 1)) (*.f64 y z)) |
(+.f64 x (*.f64 y (-.f64 (*.f64 -1/2 (*.f64 y x)) z))) |
(fma.f64 y (-.f64 (*.f64 -1/2 (*.f64 y x)) z) x) |
(fma.f64 y (-.f64 (*.f64 y (*.f64 x 1/2)) z) x) |
(+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) x)) |
(fma.f64 -1 (*.f64 y z) (*.f64 x (+.f64 1 (*.f64 -1/2 (*.f64 y y))))) |
(-.f64 (*.f64 x (fma.f64 -1/2 (*.f64 y y) 1)) (*.f64 y z)) |
(+.f64 x (*.f64 y (-.f64 (*.f64 -1/2 (*.f64 y x)) z))) |
(fma.f64 y (-.f64 (*.f64 -1/2 (*.f64 y x)) z) x) |
(fma.f64 y (-.f64 (*.f64 y (*.f64 x 1/2)) z) x) |
(+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) x)) |
(fma.f64 -1 (*.f64 y z) (*.f64 x (+.f64 1 (*.f64 -1/2 (*.f64 y y))))) |
(-.f64 (*.f64 x (fma.f64 -1/2 (*.f64 y y) 1)) (*.f64 y z)) |
(+.f64 x (*.f64 y (-.f64 (*.f64 -1/2 (*.f64 y x)) z))) |
(fma.f64 y (-.f64 (*.f64 -1/2 (*.f64 y x)) z) x) |
(fma.f64 y (-.f64 (*.f64 y (*.f64 x 1/2)) z) x) |
(*.f64 -1 z) |
(neg.f64 z) |
(+.f64 (*.f64 -1 z) (*.f64 -1/2 (*.f64 y x))) |
(fma.f64 -1 z (*.f64 -1/2 (*.f64 y x))) |
(-.f64 (*.f64 y (*.f64 x -1/2)) z) |
(-.f64 (*.f64 -1/2 (*.f64 y x)) z) |
(-.f64 (*.f64 y (*.f64 x 1/2)) z) |
(+.f64 (*.f64 -1 z) (*.f64 -1/2 (*.f64 y x))) |
(fma.f64 -1 z (*.f64 -1/2 (*.f64 y x))) |
(-.f64 (*.f64 y (*.f64 x -1/2)) z) |
(-.f64 (*.f64 -1/2 (*.f64 y x)) z) |
(-.f64 (*.f64 y (*.f64 x 1/2)) z) |
(+.f64 (*.f64 -1 z) (*.f64 -1/2 (*.f64 y x))) |
(fma.f64 -1 z (*.f64 -1/2 (*.f64 y x))) |
(-.f64 (*.f64 y (*.f64 x -1/2)) z) |
(-.f64 (*.f64 -1/2 (*.f64 y x)) z) |
(-.f64 (*.f64 y (*.f64 x 1/2)) z) |
(*.f64 -1/2 (*.f64 y x)) |
(*.f64 y (*.f64 x -1/2)) |
(*.f64 y (*.f64 x 1/2)) |
(+.f64 (*.f64 -1 z) (*.f64 -1/2 (*.f64 y x))) |
(fma.f64 -1 z (*.f64 -1/2 (*.f64 y x))) |
(-.f64 (*.f64 y (*.f64 x -1/2)) z) |
(-.f64 (*.f64 -1/2 (*.f64 y x)) z) |
(-.f64 (*.f64 y (*.f64 x 1/2)) z) |
(+.f64 (*.f64 -1 z) (*.f64 -1/2 (*.f64 y x))) |
(fma.f64 -1 z (*.f64 -1/2 (*.f64 y x))) |
(-.f64 (*.f64 y (*.f64 x -1/2)) z) |
(-.f64 (*.f64 -1/2 (*.f64 y x)) z) |
(-.f64 (*.f64 y (*.f64 x 1/2)) z) |
(+.f64 (*.f64 -1 z) (*.f64 -1/2 (*.f64 y x))) |
(fma.f64 -1 z (*.f64 -1/2 (*.f64 y x))) |
(-.f64 (*.f64 y (*.f64 x -1/2)) z) |
(-.f64 (*.f64 -1/2 (*.f64 y x)) z) |
(-.f64 (*.f64 y (*.f64 x 1/2)) z) |
(*.f64 -1/2 (*.f64 y x)) |
(*.f64 y (*.f64 x -1/2)) |
(*.f64 y (*.f64 x 1/2)) |
(+.f64 (*.f64 -1 z) (*.f64 -1/2 (*.f64 y x))) |
(fma.f64 -1 z (*.f64 -1/2 (*.f64 y x))) |
(-.f64 (*.f64 y (*.f64 x -1/2)) z) |
(-.f64 (*.f64 -1/2 (*.f64 y x)) z) |
(-.f64 (*.f64 y (*.f64 x 1/2)) z) |
(+.f64 (*.f64 -1 z) (*.f64 -1/2 (*.f64 y x))) |
(fma.f64 -1 z (*.f64 -1/2 (*.f64 y x))) |
(-.f64 (*.f64 y (*.f64 x -1/2)) z) |
(-.f64 (*.f64 -1/2 (*.f64 y x)) z) |
(-.f64 (*.f64 y (*.f64 x 1/2)) z) |
(+.f64 (*.f64 -1 z) (*.f64 -1/2 (*.f64 y x))) |
(fma.f64 -1 z (*.f64 -1/2 (*.f64 y x))) |
(-.f64 (*.f64 y (*.f64 x -1/2)) z) |
(-.f64 (*.f64 -1/2 (*.f64 y x)) z) |
(-.f64 (*.f64 y (*.f64 x 1/2)) z) |
(*.f64 -1 z) |
(neg.f64 z) |
(+.f64 (*.f64 -1 z) (*.f64 -1/2 (*.f64 y x))) |
(fma.f64 -1 z (*.f64 -1/2 (*.f64 y x))) |
(-.f64 (*.f64 y (*.f64 x -1/2)) z) |
(-.f64 (*.f64 -1/2 (*.f64 y x)) z) |
(-.f64 (*.f64 y (*.f64 x 1/2)) z) |
(+.f64 (*.f64 -1 z) (*.f64 -1/2 (*.f64 y x))) |
(fma.f64 -1 z (*.f64 -1/2 (*.f64 y x))) |
(-.f64 (*.f64 y (*.f64 x -1/2)) z) |
(-.f64 (*.f64 -1/2 (*.f64 y x)) z) |
(-.f64 (*.f64 y (*.f64 x 1/2)) z) |
(+.f64 (*.f64 -1 z) (*.f64 -1/2 (*.f64 y x))) |
(fma.f64 -1 z (*.f64 -1/2 (*.f64 y x))) |
(-.f64 (*.f64 y (*.f64 x -1/2)) z) |
(-.f64 (*.f64 -1/2 (*.f64 y x)) z) |
(-.f64 (*.f64 y (*.f64 x 1/2)) z) |
(*.f64 -1/2 (*.f64 y x)) |
(*.f64 y (*.f64 x -1/2)) |
(*.f64 y (*.f64 x 1/2)) |
(+.f64 (*.f64 -1 z) (*.f64 -1/2 (*.f64 y x))) |
(fma.f64 -1 z (*.f64 -1/2 (*.f64 y x))) |
(-.f64 (*.f64 y (*.f64 x -1/2)) z) |
(-.f64 (*.f64 -1/2 (*.f64 y x)) z) |
(-.f64 (*.f64 y (*.f64 x 1/2)) z) |
(+.f64 (*.f64 -1 z) (*.f64 -1/2 (*.f64 y x))) |
(fma.f64 -1 z (*.f64 -1/2 (*.f64 y x))) |
(-.f64 (*.f64 y (*.f64 x -1/2)) z) |
(-.f64 (*.f64 -1/2 (*.f64 y x)) z) |
(-.f64 (*.f64 y (*.f64 x 1/2)) z) |
(+.f64 (*.f64 -1 z) (*.f64 -1/2 (*.f64 y x))) |
(fma.f64 -1 z (*.f64 -1/2 (*.f64 y x))) |
(-.f64 (*.f64 y (*.f64 x -1/2)) z) |
(-.f64 (*.f64 -1/2 (*.f64 y x)) z) |
(-.f64 (*.f64 y (*.f64 x 1/2)) z) |
(*.f64 -1/2 (*.f64 y x)) |
(*.f64 y (*.f64 x -1/2)) |
(*.f64 y (*.f64 x 1/2)) |
(+.f64 (*.f64 -1 z) (*.f64 -1/2 (*.f64 y x))) |
(fma.f64 -1 z (*.f64 -1/2 (*.f64 y x))) |
(-.f64 (*.f64 y (*.f64 x -1/2)) z) |
(-.f64 (*.f64 -1/2 (*.f64 y x)) z) |
(-.f64 (*.f64 y (*.f64 x 1/2)) z) |
(+.f64 (*.f64 -1 z) (*.f64 -1/2 (*.f64 y x))) |
(fma.f64 -1 z (*.f64 -1/2 (*.f64 y x))) |
(-.f64 (*.f64 y (*.f64 x -1/2)) z) |
(-.f64 (*.f64 -1/2 (*.f64 y x)) z) |
(-.f64 (*.f64 y (*.f64 x 1/2)) z) |
(+.f64 (*.f64 -1 z) (*.f64 -1/2 (*.f64 y x))) |
(fma.f64 -1 z (*.f64 -1/2 (*.f64 y x))) |
(-.f64 (*.f64 y (*.f64 x -1/2)) z) |
(-.f64 (*.f64 -1/2 (*.f64 y x)) z) |
(-.f64 (*.f64 y (*.f64 x 1/2)) z) |
(*.f64 -1/2 (*.f64 y x)) |
(*.f64 y (*.f64 x -1/2)) |
(*.f64 y (*.f64 x 1/2)) |
(+.f64 (*.f64 -1 z) (*.f64 -1/2 (*.f64 y x))) |
(fma.f64 -1 z (*.f64 -1/2 (*.f64 y x))) |
(-.f64 (*.f64 y (*.f64 x -1/2)) z) |
(-.f64 (*.f64 -1/2 (*.f64 y x)) z) |
(-.f64 (*.f64 y (*.f64 x 1/2)) z) |
(+.f64 (*.f64 -1 z) (*.f64 -1/2 (*.f64 y x))) |
(fma.f64 -1 z (*.f64 -1/2 (*.f64 y x))) |
(-.f64 (*.f64 y (*.f64 x -1/2)) z) |
(-.f64 (*.f64 -1/2 (*.f64 y x)) z) |
(-.f64 (*.f64 y (*.f64 x 1/2)) z) |
(+.f64 (*.f64 -1 z) (*.f64 -1/2 (*.f64 y x))) |
(fma.f64 -1 z (*.f64 -1/2 (*.f64 y x))) |
(-.f64 (*.f64 y (*.f64 x -1/2)) z) |
(-.f64 (*.f64 -1/2 (*.f64 y x)) z) |
(-.f64 (*.f64 y (*.f64 x 1/2)) z) |
(*.f64 -1 z) |
(neg.f64 z) |
(+.f64 (*.f64 -1 z) (*.f64 -1/2 (*.f64 y x))) |
(fma.f64 -1 z (*.f64 -1/2 (*.f64 y x))) |
(-.f64 (*.f64 y (*.f64 x -1/2)) z) |
(-.f64 (*.f64 -1/2 (*.f64 y x)) z) |
(-.f64 (*.f64 y (*.f64 x 1/2)) z) |
(+.f64 (*.f64 -1 z) (*.f64 -1/2 (*.f64 y x))) |
(fma.f64 -1 z (*.f64 -1/2 (*.f64 y x))) |
(-.f64 (*.f64 y (*.f64 x -1/2)) z) |
(-.f64 (*.f64 -1/2 (*.f64 y x)) z) |
(-.f64 (*.f64 y (*.f64 x 1/2)) z) |
(+.f64 (*.f64 -1 z) (*.f64 -1/2 (*.f64 y x))) |
(fma.f64 -1 z (*.f64 -1/2 (*.f64 y x))) |
(-.f64 (*.f64 y (*.f64 x -1/2)) z) |
(-.f64 (*.f64 -1/2 (*.f64 y x)) z) |
(-.f64 (*.f64 y (*.f64 x 1/2)) z) |
(*.f64 -1 z) |
(neg.f64 z) |
(+.f64 (*.f64 -1 z) (*.f64 -1/2 (*.f64 y x))) |
(fma.f64 -1 z (*.f64 -1/2 (*.f64 y x))) |
(-.f64 (*.f64 y (*.f64 x -1/2)) z) |
(-.f64 (*.f64 -1/2 (*.f64 y x)) z) |
(-.f64 (*.f64 y (*.f64 x 1/2)) z) |
(+.f64 (*.f64 -1 z) (*.f64 -1/2 (*.f64 y x))) |
(fma.f64 -1 z (*.f64 -1/2 (*.f64 y x))) |
(-.f64 (*.f64 y (*.f64 x -1/2)) z) |
(-.f64 (*.f64 -1/2 (*.f64 y x)) z) |
(-.f64 (*.f64 y (*.f64 x 1/2)) z) |
(+.f64 (*.f64 -1 z) (*.f64 -1/2 (*.f64 y x))) |
(fma.f64 -1 z (*.f64 -1/2 (*.f64 y x))) |
(-.f64 (*.f64 y (*.f64 x -1/2)) z) |
(-.f64 (*.f64 -1/2 (*.f64 y x)) z) |
(-.f64 (*.f64 y (*.f64 x 1/2)) z) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (-.f64 x (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)) (*.f64 y z))) |
| ✓ | 0.1b | (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)) |
| ✓ | 3.6b | (*.f64 (pow.f64 y 3) z) |
| ✓ | 6.2b | (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)) (*.f64 y z)) |
Compiled 50 to 29 computations (42% saved)
27 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | y | @ | -inf | (-.f64 x (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)) (*.f64 y z))) |
| 1.0ms | z | @ | 0 | (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)) (*.f64 y z)) |
| 1.0ms | z | @ | inf | (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)) (*.f64 y z)) |
| 1.0ms | x | @ | 0 | (-.f64 x (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)) (*.f64 y z))) |
| 1.0ms | y | @ | 0 | (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)) (*.f64 y z)) |
| 1× | batch-egg-rewrite |
| 670× | fma-def_binary64 |
| 661× | log-prod_binary64 |
| 346× | pow2_binary64 |
| 281× | fma-neg_binary64 |
| 237× | pow1/3_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 48 |
| 1 | 273 | 46 |
| 2 | 3732 | 42 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)) (*.f64 y z)) |
(*.f64 (pow.f64 y 3) z) |
(*.f64 -1/6 (*.f64 (pow.f64 y 3) z)) |
(-.f64 x (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)) (*.f64 y z))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 z (fma.f64 -1/6 (pow.f64 y 3) y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 1/36 (*.f64 (pow.f64 y 6) (*.f64 z z))) (*.f64 z (-.f64 (*.f64 -1/6 (pow.f64 y 3)) y))) (/.f64 (pow.f64 (*.f64 y z) 2) (*.f64 z (-.f64 (*.f64 -1/6 (pow.f64 y 3)) y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 z (fma.f64 -1/6 (pow.f64 y 3) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 z (+.f64 y (*.f64 -1/6 (pow.f64 y 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 z (fma.f64 -1/6 (pow.f64 y 3) y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 z (fma.f64 -1/6 (pow.f64 y 3) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 z (fma.f64 -1/6 (pow.f64 y 3) y))) (pow.f64 (cbrt.f64 (*.f64 z (fma.f64 -1/6 (pow.f64 y 3) y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 z (fma.f64 -1/6 (pow.f64 y 3) y))) 2) (cbrt.f64 (*.f64 z (fma.f64 -1/6 (pow.f64 y 3) y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 z (fma.f64 -1/6 (pow.f64 y 3) y))) (sqrt.f64 (*.f64 z (fma.f64 -1/6 (pow.f64 y 3) y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 -1/216 (pow.f64 (*.f64 (pow.f64 y 3) z) 3) (pow.f64 (*.f64 y z) 3)) (/.f64 1 (fma.f64 (*.f64 y z) (-.f64 (*.f64 y z) (*.f64 -1/6 (*.f64 (pow.f64 y 3) z))) (*.f64 1/36 (*.f64 (pow.f64 y 6) (*.f64 z z))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 1/36 (*.f64 (pow.f64 y 6) (*.f64 z z))) (pow.f64 (*.f64 y z) 2)) (/.f64 1 (*.f64 z (-.f64 (*.f64 -1/6 (pow.f64 y 3)) y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (*.f64 y z) (-.f64 (*.f64 y z) (*.f64 -1/6 (*.f64 (pow.f64 y 3) z))) (*.f64 1/36 (*.f64 (pow.f64 y 6) (*.f64 z z)))) (fma.f64 -1/216 (pow.f64 (*.f64 (pow.f64 y 3) z) 3) (pow.f64 (*.f64 y z) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 z (-.f64 (*.f64 -1/6 (pow.f64 y 3)) 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3) z)))) (neg.f64 (*.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)))) (-.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)))) (*.f64 (neg.f64 y) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)))) (-.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)))) (*.f64 (neg.f64 z) y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)))) (-.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)))) (*.f64 -1 (*.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)))) (-.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)))) (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 y z)) 2)) (cbrt.f64 (*.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)))) (-.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)))) (*.f64 (neg.f64 (sqrt.f64 (*.f64 y z))) (sqrt.f64 (*.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 z (fma.f64 -1/6 (pow.f64 y 3) y)))) (-.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 z (fma.f64 -1/6 (pow.f64 y 3) y)))) (fma.f64 (neg.f64 (*.f64 z (fma.f64 -1/6 (pow.f64 y 3) y))) 1 (*.f64 z (fma.f64 -1/6 (pow.f64 y 3) y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 z (fma.f64 -1/6 (pow.f64 y 3) y)))) (-.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 z (fma.f64 -1/6 (pow.f64 y 3) y)))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 z (fma.f64 -1/6 (pow.f64 y 3) y)))) (pow.f64 (cbrt.f64 (*.f64 z (fma.f64 -1/6 (pow.f64 y 3) y))) 2) (*.f64 z (fma.f64 -1/6 (pow.f64 y 3) y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 z (fma.f64 -1/6 (pow.f64 y 3) y)))) (-.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 z (fma.f64 -1/6 (pow.f64 y 3) y)))) (+.f64 (neg.f64 (*.f64 z (fma.f64 -1/6 (pow.f64 y 3) y))) (*.f64 z (fma.f64 -1/6 (pow.f64 y 3) y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 z (fma.f64 -1/6 (pow.f64 y 3) y))) 2)) (cbrt.f64 (*.f64 z (fma.f64 -1/6 (pow.f64 y 3) y))) x))))) |
| 1× | egg-herbie |
| 1186× | fma-def_binary64 |
| 1140× | fma-neg_binary64 |
| 490× | distribute-rgt-neg-in_binary64 |
| 480× | cancel-sign-sub-inv_binary64 |
| 428× | unswap-sqr_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 40 | 820 |
| 1 | 114 | 654 |
| 2 | 283 | 654 |
| 3 | 870 | 654 |
| 4 | 2361 | 654 |
| 5 | 4012 | 654 |
| 6 | 4763 | 654 |
| 7 | 5058 | 654 |
| 8 | 5431 | 654 |
| 9 | 6246 | 654 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 y z) |
(*.f64 -1/6 (*.f64 (pow.f64 y 3) z)) |
(+.f64 (*.f64 y z) (*.f64 -1/6 (*.f64 (pow.f64 y 3) z))) |
(+.f64 (*.f64 y z) (*.f64 -1/6 (*.f64 (pow.f64 y 3) z))) |
(+.f64 (*.f64 y z) (*.f64 -1/6 (*.f64 (pow.f64 y 3) z))) |
(*.f64 -1/6 (*.f64 (pow.f64 y 3) z)) |
(+.f64 (*.f64 y z) (*.f64 -1/6 (*.f64 (pow.f64 y 3) z))) |
(+.f64 (*.f64 y z) (*.f64 -1/6 (*.f64 (pow.f64 y 3) z))) |
(+.f64 (*.f64 y z) (*.f64 -1/6 (*.f64 (pow.f64 y 3) z))) |
(*.f64 (+.f64 (*.f64 -1/6 (pow.f64 y 3)) y) z) |
(*.f64 (+.f64 (*.f64 -1/6 (pow.f64 y 3)) y) z) |
(*.f64 (+.f64 (*.f64 -1/6 (pow.f64 y 3)) y) z) |
(*.f64 (+.f64 (*.f64 -1/6 (pow.f64 y 3)) y) z) |
(*.f64 (+.f64 (*.f64 -1/6 (pow.f64 y 3)) y) z) |
(*.f64 (+.f64 (*.f64 -1/6 (pow.f64 y 3)) y) z) |
(*.f64 (+.f64 (*.f64 -1/6 (pow.f64 y 3)) y) z) |
(*.f64 (+.f64 (*.f64 -1/6 (pow.f64 y 3)) y) z) |
(*.f64 -1 (*.f64 (+.f64 (*.f64 -1 y) (*.f64 1/6 (pow.f64 y 3))) z)) |
(*.f64 -1 (*.f64 (+.f64 (*.f64 -1 y) (*.f64 1/6 (pow.f64 y 3))) z)) |
(*.f64 -1 (*.f64 (+.f64 (*.f64 -1 y) (*.f64 1/6 (pow.f64 y 3))) z)) |
(*.f64 -1 (*.f64 (+.f64 (*.f64 -1 y) (*.f64 1/6 (pow.f64 y 3))) z)) |
(*.f64 -1 (+.f64 (*.f64 y z) (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)))) |
(+.f64 (*.f64 -1 (+.f64 (*.f64 y z) (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)))) x) |
(+.f64 (*.f64 -1 (+.f64 (*.f64 y z) (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)))) x) |
(+.f64 (*.f64 -1 (+.f64 (*.f64 y z) (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)))) x) |
x |
(+.f64 (*.f64 -1 (+.f64 (*.f64 y z) (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)))) x) |
(+.f64 (*.f64 -1 (+.f64 (*.f64 y z) (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)))) x) |
(+.f64 (*.f64 -1 (+.f64 (*.f64 y z) (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)))) x) |
x |
(+.f64 (*.f64 -1 (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)) (*.f64 y z))) x) |
(+.f64 (*.f64 -1 (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)) (*.f64 y z))) x) |
(+.f64 (*.f64 -1 (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)) (*.f64 y z))) x) |
x |
(+.f64 (*.f64 -1 (*.f64 y z)) x) |
(+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 y 3) z)) x)) |
(+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 y 3) z)) x)) |
(*.f64 1/6 (*.f64 (pow.f64 y 3) z)) |
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 1/6 (*.f64 (pow.f64 y 3) z))) |
(+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 x (*.f64 1/6 (*.f64 (pow.f64 y 3) z)))) |
(+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 x (*.f64 1/6 (*.f64 (pow.f64 y 3) z)))) |
(*.f64 1/6 (*.f64 (pow.f64 y 3) z)) |
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 1/6 (*.f64 (pow.f64 y 3) z))) |
(+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 x (*.f64 1/6 (*.f64 (pow.f64 y 3) z)))) |
(+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 x (*.f64 1/6 (*.f64 (pow.f64 y 3) z)))) |
x |
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/6 (pow.f64 y 3)) y) z)) x) |
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/6 (pow.f64 y 3)) y) z)) x) |
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/6 (pow.f64 y 3)) y) z)) x) |
(*.f64 -1 (*.f64 (+.f64 (*.f64 -1/6 (pow.f64 y 3)) y) z)) |
(+.f64 x (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/6 (pow.f64 y 3)) y) z))) |
(+.f64 x (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/6 (pow.f64 y 3)) y) z))) |
(+.f64 x (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/6 (pow.f64 y 3)) y) z))) |
(*.f64 z (+.f64 (*.f64 1/6 (pow.f64 y 3)) (*.f64 -1 y))) |
(+.f64 (*.f64 z (+.f64 (*.f64 1/6 (pow.f64 y 3)) (*.f64 -1 y))) x) |
(+.f64 (*.f64 z (+.f64 (*.f64 1/6 (pow.f64 y 3)) (*.f64 -1 y))) x) |
(+.f64 (*.f64 z (+.f64 (*.f64 1/6 (pow.f64 y 3)) (*.f64 -1 y))) x) |
| Outputs |
|---|
(*.f64 y z) |
(*.f64 -1/6 (*.f64 (pow.f64 y 3) z)) |
(*.f64 -1/6 (*.f64 z (pow.f64 y 3))) |
(*.f64 (pow.f64 y 3) (*.f64 z -1/6)) |
(*.f64 z (*.f64 -1/6 (pow.f64 y 3))) |
(+.f64 (*.f64 y z) (*.f64 -1/6 (*.f64 (pow.f64 y 3) z))) |
(fma.f64 -1/6 (*.f64 z (pow.f64 y 3)) (*.f64 y z)) |
(*.f64 z (fma.f64 -1/6 (pow.f64 y 3) y)) |
(+.f64 (*.f64 y z) (*.f64 -1/6 (*.f64 (pow.f64 y 3) z))) |
(fma.f64 -1/6 (*.f64 z (pow.f64 y 3)) (*.f64 y z)) |
(*.f64 z (fma.f64 -1/6 (pow.f64 y 3) y)) |
(+.f64 (*.f64 y z) (*.f64 -1/6 (*.f64 (pow.f64 y 3) z))) |
(fma.f64 -1/6 (*.f64 z (pow.f64 y 3)) (*.f64 y z)) |
(*.f64 z (fma.f64 -1/6 (pow.f64 y 3) y)) |
(*.f64 -1/6 (*.f64 (pow.f64 y 3) z)) |
(*.f64 -1/6 (*.f64 z (pow.f64 y 3))) |
(*.f64 (pow.f64 y 3) (*.f64 z -1/6)) |
(*.f64 z (*.f64 -1/6 (pow.f64 y 3))) |
(+.f64 (*.f64 y z) (*.f64 -1/6 (*.f64 (pow.f64 y 3) z))) |
(fma.f64 -1/6 (*.f64 z (pow.f64 y 3)) (*.f64 y z)) |
(*.f64 z (fma.f64 -1/6 (pow.f64 y 3) y)) |
(+.f64 (*.f64 y z) (*.f64 -1/6 (*.f64 (pow.f64 y 3) z))) |
(fma.f64 -1/6 (*.f64 z (pow.f64 y 3)) (*.f64 y z)) |
(*.f64 z (fma.f64 -1/6 (pow.f64 y 3) y)) |
(+.f64 (*.f64 y z) (*.f64 -1/6 (*.f64 (pow.f64 y 3) z))) |
(fma.f64 -1/6 (*.f64 z (pow.f64 y 3)) (*.f64 y z)) |
(*.f64 z (fma.f64 -1/6 (pow.f64 y 3) y)) |
(*.f64 (+.f64 (*.f64 -1/6 (pow.f64 y 3)) y) z) |
(fma.f64 -1/6 (*.f64 z (pow.f64 y 3)) (*.f64 y z)) |
(*.f64 z (fma.f64 -1/6 (pow.f64 y 3) y)) |
(*.f64 (+.f64 (*.f64 -1/6 (pow.f64 y 3)) y) z) |
(fma.f64 -1/6 (*.f64 z (pow.f64 y 3)) (*.f64 y z)) |
(*.f64 z (fma.f64 -1/6 (pow.f64 y 3) y)) |
(*.f64 (+.f64 (*.f64 -1/6 (pow.f64 y 3)) y) z) |
(fma.f64 -1/6 (*.f64 z (pow.f64 y 3)) (*.f64 y z)) |
(*.f64 z (fma.f64 -1/6 (pow.f64 y 3) y)) |
(*.f64 (+.f64 (*.f64 -1/6 (pow.f64 y 3)) y) z) |
(fma.f64 -1/6 (*.f64 z (pow.f64 y 3)) (*.f64 y z)) |
(*.f64 z (fma.f64 -1/6 (pow.f64 y 3) y)) |
(*.f64 (+.f64 (*.f64 -1/6 (pow.f64 y 3)) y) z) |
(fma.f64 -1/6 (*.f64 z (pow.f64 y 3)) (*.f64 y z)) |
(*.f64 z (fma.f64 -1/6 (pow.f64 y 3) y)) |
(*.f64 (+.f64 (*.f64 -1/6 (pow.f64 y 3)) y) z) |
(fma.f64 -1/6 (*.f64 z (pow.f64 y 3)) (*.f64 y z)) |
(*.f64 z (fma.f64 -1/6 (pow.f64 y 3) y)) |
(*.f64 (+.f64 (*.f64 -1/6 (pow.f64 y 3)) y) z) |
(fma.f64 -1/6 (*.f64 z (pow.f64 y 3)) (*.f64 y z)) |
(*.f64 z (fma.f64 -1/6 (pow.f64 y 3) y)) |
(*.f64 (+.f64 (*.f64 -1/6 (pow.f64 y 3)) y) z) |
(fma.f64 -1/6 (*.f64 z (pow.f64 y 3)) (*.f64 y z)) |
(*.f64 z (fma.f64 -1/6 (pow.f64 y 3) y)) |
(*.f64 -1 (*.f64 (+.f64 (*.f64 -1 y) (*.f64 1/6 (pow.f64 y 3))) z)) |
(fma.f64 -1/6 (*.f64 z (pow.f64 y 3)) (*.f64 y z)) |
(*.f64 z (fma.f64 -1/6 (pow.f64 y 3) y)) |
(*.f64 -1 (*.f64 (+.f64 (*.f64 -1 y) (*.f64 1/6 (pow.f64 y 3))) z)) |
(fma.f64 -1/6 (*.f64 z (pow.f64 y 3)) (*.f64 y z)) |
(*.f64 z (fma.f64 -1/6 (pow.f64 y 3) y)) |
(*.f64 -1 (*.f64 (+.f64 (*.f64 -1 y) (*.f64 1/6 (pow.f64 y 3))) z)) |
(fma.f64 -1/6 (*.f64 z (pow.f64 y 3)) (*.f64 y z)) |
(*.f64 z (fma.f64 -1/6 (pow.f64 y 3) y)) |
(*.f64 -1 (*.f64 (+.f64 (*.f64 -1 y) (*.f64 1/6 (pow.f64 y 3))) z)) |
(fma.f64 -1/6 (*.f64 z (pow.f64 y 3)) (*.f64 y z)) |
(*.f64 z (fma.f64 -1/6 (pow.f64 y 3) y)) |
(*.f64 -1 (+.f64 (*.f64 y z) (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)))) |
(neg.f64 (fma.f64 -1/6 (*.f64 z (pow.f64 y 3)) (*.f64 y z))) |
(*.f64 z (-.f64 (*.f64 (pow.f64 y 3) 1/6) y)) |
(*.f64 z (fma.f64 (pow.f64 y 3) 1/6 (neg.f64 y))) |
(*.f64 (fma.f64 -1/6 (pow.f64 y 3) y) (neg.f64 z)) |
(+.f64 (*.f64 -1 (+.f64 (*.f64 y z) (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)))) x) |
(fma.f64 -1 (fma.f64 -1/6 (*.f64 z (pow.f64 y 3)) (*.f64 y z)) x) |
(fma.f64 z (-.f64 (*.f64 (pow.f64 y 3) 1/6) y) x) |
(fma.f64 z (fma.f64 (pow.f64 y 3) 1/6 (neg.f64 y)) x) |
(fma.f64 (fma.f64 -1/6 (pow.f64 y 3) y) (neg.f64 z) x) |
(+.f64 (*.f64 -1 (+.f64 (*.f64 y z) (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)))) x) |
(fma.f64 -1 (fma.f64 -1/6 (*.f64 z (pow.f64 y 3)) (*.f64 y z)) x) |
(fma.f64 z (-.f64 (*.f64 (pow.f64 y 3) 1/6) y) x) |
(fma.f64 z (fma.f64 (pow.f64 y 3) 1/6 (neg.f64 y)) x) |
(fma.f64 (fma.f64 -1/6 (pow.f64 y 3) y) (neg.f64 z) x) |
(+.f64 (*.f64 -1 (+.f64 (*.f64 y z) (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)))) x) |
(fma.f64 -1 (fma.f64 -1/6 (*.f64 z (pow.f64 y 3)) (*.f64 y z)) x) |
(fma.f64 z (-.f64 (*.f64 (pow.f64 y 3) 1/6) y) x) |
(fma.f64 z (fma.f64 (pow.f64 y 3) 1/6 (neg.f64 y)) x) |
(fma.f64 (fma.f64 -1/6 (pow.f64 y 3) y) (neg.f64 z) x) |
x |
(+.f64 (*.f64 -1 (+.f64 (*.f64 y z) (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)))) x) |
(fma.f64 -1 (fma.f64 -1/6 (*.f64 z (pow.f64 y 3)) (*.f64 y z)) x) |
(fma.f64 z (-.f64 (*.f64 (pow.f64 y 3) 1/6) y) x) |
(fma.f64 z (fma.f64 (pow.f64 y 3) 1/6 (neg.f64 y)) x) |
(fma.f64 (fma.f64 -1/6 (pow.f64 y 3) y) (neg.f64 z) x) |
(+.f64 (*.f64 -1 (+.f64 (*.f64 y z) (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)))) x) |
(fma.f64 -1 (fma.f64 -1/6 (*.f64 z (pow.f64 y 3)) (*.f64 y z)) x) |
(fma.f64 z (-.f64 (*.f64 (pow.f64 y 3) 1/6) y) x) |
(fma.f64 z (fma.f64 (pow.f64 y 3) 1/6 (neg.f64 y)) x) |
(fma.f64 (fma.f64 -1/6 (pow.f64 y 3) y) (neg.f64 z) x) |
(+.f64 (*.f64 -1 (+.f64 (*.f64 y z) (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)))) x) |
(fma.f64 -1 (fma.f64 -1/6 (*.f64 z (pow.f64 y 3)) (*.f64 y z)) x) |
(fma.f64 z (-.f64 (*.f64 (pow.f64 y 3) 1/6) y) x) |
(fma.f64 z (fma.f64 (pow.f64 y 3) 1/6 (neg.f64 y)) x) |
(fma.f64 (fma.f64 -1/6 (pow.f64 y 3) y) (neg.f64 z) x) |
x |
(+.f64 (*.f64 -1 (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)) (*.f64 y z))) x) |
(fma.f64 -1 (fma.f64 -1/6 (*.f64 z (pow.f64 y 3)) (*.f64 y z)) x) |
(fma.f64 z (-.f64 (*.f64 (pow.f64 y 3) 1/6) y) x) |
(fma.f64 z (fma.f64 (pow.f64 y 3) 1/6 (neg.f64 y)) x) |
(fma.f64 (fma.f64 -1/6 (pow.f64 y 3) y) (neg.f64 z) x) |
(+.f64 (*.f64 -1 (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)) (*.f64 y z))) x) |
(fma.f64 -1 (fma.f64 -1/6 (*.f64 z (pow.f64 y 3)) (*.f64 y z)) x) |
(fma.f64 z (-.f64 (*.f64 (pow.f64 y 3) 1/6) y) x) |
(fma.f64 z (fma.f64 (pow.f64 y 3) 1/6 (neg.f64 y)) x) |
(fma.f64 (fma.f64 -1/6 (pow.f64 y 3) y) (neg.f64 z) x) |
(+.f64 (*.f64 -1 (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)) (*.f64 y z))) x) |
(fma.f64 -1 (fma.f64 -1/6 (*.f64 z (pow.f64 y 3)) (*.f64 y z)) x) |
(fma.f64 z (-.f64 (*.f64 (pow.f64 y 3) 1/6) y) x) |
(fma.f64 z (fma.f64 (pow.f64 y 3) 1/6 (neg.f64 y)) x) |
(fma.f64 (fma.f64 -1/6 (pow.f64 y 3) y) (neg.f64 z) x) |
x |
(+.f64 (*.f64 -1 (*.f64 y z)) x) |
(fma.f64 -1 (*.f64 y z) x) |
(-.f64 x (*.f64 y z)) |
(fma.f64 y (neg.f64 z) x) |
(+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 y 3) z)) x)) |
(fma.f64 -1 (fma.f64 -1/6 (*.f64 z (pow.f64 y 3)) (*.f64 y z)) x) |
(fma.f64 z (-.f64 (*.f64 (pow.f64 y 3) 1/6) y) x) |
(fma.f64 z (fma.f64 (pow.f64 y 3) 1/6 (neg.f64 y)) x) |
(fma.f64 (fma.f64 -1/6 (pow.f64 y 3) y) (neg.f64 z) x) |
(+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 y 3) z)) x)) |
(fma.f64 -1 (fma.f64 -1/6 (*.f64 z (pow.f64 y 3)) (*.f64 y z)) x) |
(fma.f64 z (-.f64 (*.f64 (pow.f64 y 3) 1/6) y) x) |
(fma.f64 z (fma.f64 (pow.f64 y 3) 1/6 (neg.f64 y)) x) |
(fma.f64 (fma.f64 -1/6 (pow.f64 y 3) y) (neg.f64 z) x) |
(*.f64 1/6 (*.f64 (pow.f64 y 3) z)) |
(*.f64 (*.f64 z (pow.f64 y 3)) 1/6) |
(*.f64 (pow.f64 y 3) (*.f64 z 1/6)) |
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 1/6 (*.f64 (pow.f64 y 3) z))) |
(neg.f64 (fma.f64 -1/6 (*.f64 z (pow.f64 y 3)) (*.f64 y z))) |
(*.f64 z (-.f64 (*.f64 (pow.f64 y 3) 1/6) y)) |
(*.f64 z (fma.f64 (pow.f64 y 3) 1/6 (neg.f64 y))) |
(*.f64 (fma.f64 -1/6 (pow.f64 y 3) y) (neg.f64 z)) |
(+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 x (*.f64 1/6 (*.f64 (pow.f64 y 3) z)))) |
(fma.f64 -1 (fma.f64 -1/6 (*.f64 z (pow.f64 y 3)) (*.f64 y z)) x) |
(fma.f64 z (-.f64 (*.f64 (pow.f64 y 3) 1/6) y) x) |
(fma.f64 z (fma.f64 (pow.f64 y 3) 1/6 (neg.f64 y)) x) |
(fma.f64 (fma.f64 -1/6 (pow.f64 y 3) y) (neg.f64 z) x) |
(+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 x (*.f64 1/6 (*.f64 (pow.f64 y 3) z)))) |
(fma.f64 -1 (fma.f64 -1/6 (*.f64 z (pow.f64 y 3)) (*.f64 y z)) x) |
(fma.f64 z (-.f64 (*.f64 (pow.f64 y 3) 1/6) y) x) |
(fma.f64 z (fma.f64 (pow.f64 y 3) 1/6 (neg.f64 y)) x) |
(fma.f64 (fma.f64 -1/6 (pow.f64 y 3) y) (neg.f64 z) x) |
(*.f64 1/6 (*.f64 (pow.f64 y 3) z)) |
(*.f64 (*.f64 z (pow.f64 y 3)) 1/6) |
(*.f64 (pow.f64 y 3) (*.f64 z 1/6)) |
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 1/6 (*.f64 (pow.f64 y 3) z))) |
(neg.f64 (fma.f64 -1/6 (*.f64 z (pow.f64 y 3)) (*.f64 y z))) |
(*.f64 z (-.f64 (*.f64 (pow.f64 y 3) 1/6) y)) |
(*.f64 z (fma.f64 (pow.f64 y 3) 1/6 (neg.f64 y))) |
(*.f64 (fma.f64 -1/6 (pow.f64 y 3) y) (neg.f64 z)) |
(+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 x (*.f64 1/6 (*.f64 (pow.f64 y 3) z)))) |
(fma.f64 -1 (fma.f64 -1/6 (*.f64 z (pow.f64 y 3)) (*.f64 y z)) x) |
(fma.f64 z (-.f64 (*.f64 (pow.f64 y 3) 1/6) y) x) |
(fma.f64 z (fma.f64 (pow.f64 y 3) 1/6 (neg.f64 y)) x) |
(fma.f64 (fma.f64 -1/6 (pow.f64 y 3) y) (neg.f64 z) x) |
(+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 x (*.f64 1/6 (*.f64 (pow.f64 y 3) z)))) |
(fma.f64 -1 (fma.f64 -1/6 (*.f64 z (pow.f64 y 3)) (*.f64 y z)) x) |
(fma.f64 z (-.f64 (*.f64 (pow.f64 y 3) 1/6) y) x) |
(fma.f64 z (fma.f64 (pow.f64 y 3) 1/6 (neg.f64 y)) x) |
(fma.f64 (fma.f64 -1/6 (pow.f64 y 3) y) (neg.f64 z) x) |
x |
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/6 (pow.f64 y 3)) y) z)) x) |
(fma.f64 -1 (fma.f64 -1/6 (*.f64 z (pow.f64 y 3)) (*.f64 y z)) x) |
(fma.f64 z (-.f64 (*.f64 (pow.f64 y 3) 1/6) y) x) |
(fma.f64 z (fma.f64 (pow.f64 y 3) 1/6 (neg.f64 y)) x) |
(fma.f64 (fma.f64 -1/6 (pow.f64 y 3) y) (neg.f64 z) x) |
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/6 (pow.f64 y 3)) y) z)) x) |
(fma.f64 -1 (fma.f64 -1/6 (*.f64 z (pow.f64 y 3)) (*.f64 y z)) x) |
(fma.f64 z (-.f64 (*.f64 (pow.f64 y 3) 1/6) y) x) |
(fma.f64 z (fma.f64 (pow.f64 y 3) 1/6 (neg.f64 y)) x) |
(fma.f64 (fma.f64 -1/6 (pow.f64 y 3) y) (neg.f64 z) x) |
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/6 (pow.f64 y 3)) y) z)) x) |
(fma.f64 -1 (fma.f64 -1/6 (*.f64 z (pow.f64 y 3)) (*.f64 y z)) x) |
(fma.f64 z (-.f64 (*.f64 (pow.f64 y 3) 1/6) y) x) |
(fma.f64 z (fma.f64 (pow.f64 y 3) 1/6 (neg.f64 y)) x) |
(fma.f64 (fma.f64 -1/6 (pow.f64 y 3) y) (neg.f64 z) x) |
(*.f64 -1 (*.f64 (+.f64 (*.f64 -1/6 (pow.f64 y 3)) y) z)) |
(neg.f64 (fma.f64 -1/6 (*.f64 z (pow.f64 y 3)) (*.f64 y z))) |
(*.f64 z (-.f64 (*.f64 (pow.f64 y 3) 1/6) y)) |
(*.f64 z (fma.f64 (pow.f64 y 3) 1/6 (neg.f64 y))) |
(*.f64 (fma.f64 -1/6 (pow.f64 y 3) y) (neg.f64 z)) |
(+.f64 x (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/6 (pow.f64 y 3)) y) z))) |
(fma.f64 -1 (fma.f64 -1/6 (*.f64 z (pow.f64 y 3)) (*.f64 y z)) x) |
(fma.f64 z (-.f64 (*.f64 (pow.f64 y 3) 1/6) y) x) |
(fma.f64 z (fma.f64 (pow.f64 y 3) 1/6 (neg.f64 y)) x) |
(fma.f64 (fma.f64 -1/6 (pow.f64 y 3) y) (neg.f64 z) x) |
(+.f64 x (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/6 (pow.f64 y 3)) y) z))) |
(fma.f64 -1 (fma.f64 -1/6 (*.f64 z (pow.f64 y 3)) (*.f64 y z)) x) |
(fma.f64 z (-.f64 (*.f64 (pow.f64 y 3) 1/6) y) x) |
(fma.f64 z (fma.f64 (pow.f64 y 3) 1/6 (neg.f64 y)) x) |
(fma.f64 (fma.f64 -1/6 (pow.f64 y 3) y) (neg.f64 z) x) |
(+.f64 x (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/6 (pow.f64 y 3)) y) z))) |
(fma.f64 -1 (fma.f64 -1/6 (*.f64 z (pow.f64 y 3)) (*.f64 y z)) x) |
(fma.f64 z (-.f64 (*.f64 (pow.f64 y 3) 1/6) y) x) |
(fma.f64 z (fma.f64 (pow.f64 y 3) 1/6 (neg.f64 y)) x) |
(fma.f64 (fma.f64 -1/6 (pow.f64 y 3) y) (neg.f64 z) x) |
(*.f64 z (+.f64 (*.f64 1/6 (pow.f64 y 3)) (*.f64 -1 y))) |
(neg.f64 (fma.f64 -1/6 (*.f64 z (pow.f64 y 3)) (*.f64 y z))) |
(*.f64 z (-.f64 (*.f64 (pow.f64 y 3) 1/6) y)) |
(*.f64 z (fma.f64 (pow.f64 y 3) 1/6 (neg.f64 y))) |
(*.f64 (fma.f64 -1/6 (pow.f64 y 3) y) (neg.f64 z)) |
(+.f64 (*.f64 z (+.f64 (*.f64 1/6 (pow.f64 y 3)) (*.f64 -1 y))) x) |
(fma.f64 -1 (fma.f64 -1/6 (*.f64 z (pow.f64 y 3)) (*.f64 y z)) x) |
(fma.f64 z (-.f64 (*.f64 (pow.f64 y 3) 1/6) y) x) |
(fma.f64 z (fma.f64 (pow.f64 y 3) 1/6 (neg.f64 y)) x) |
(fma.f64 (fma.f64 -1/6 (pow.f64 y 3) y) (neg.f64 z) x) |
(+.f64 (*.f64 z (+.f64 (*.f64 1/6 (pow.f64 y 3)) (*.f64 -1 y))) x) |
(fma.f64 -1 (fma.f64 -1/6 (*.f64 z (pow.f64 y 3)) (*.f64 y z)) x) |
(fma.f64 z (-.f64 (*.f64 (pow.f64 y 3) 1/6) y) x) |
(fma.f64 z (fma.f64 (pow.f64 y 3) 1/6 (neg.f64 y)) x) |
(fma.f64 (fma.f64 -1/6 (pow.f64 y 3) y) (neg.f64 z) x) |
(+.f64 (*.f64 z (+.f64 (*.f64 1/6 (pow.f64 y 3)) (*.f64 -1 y))) x) |
(fma.f64 -1 (fma.f64 -1/6 (*.f64 z (pow.f64 y 3)) (*.f64 y z)) x) |
(fma.f64 z (-.f64 (*.f64 (pow.f64 y 3) 1/6) y) x) |
(fma.f64 z (fma.f64 (pow.f64 y 3) 1/6 (neg.f64 y)) x) |
(fma.f64 (fma.f64 -1/6 (pow.f64 y 3) y) (neg.f64 z) x) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (-.f64 x (*.f64 z (sin.f64 y))) | |
| ✓ | 0.0b | (sqrt.f64 (-.f64 x (*.f64 z (sin.f64 y)))) |
| 0.1b | (*.f64 z (sin.f64 y)) | |
| ✓ | 0.3b | (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 | |
|---|---|---|---|---|
| 14.0ms | x | @ | 0 | (pow.f64 (sqrt.f64 (-.f64 x (*.f64 z (sin.f64 y)))) 2) |
| 3.0ms | x | @ | -inf | (pow.f64 (sqrt.f64 (-.f64 x (*.f64 z (sin.f64 y)))) 2) |
| 2.0ms | z | @ | inf | (pow.f64 (sqrt.f64 (-.f64 x (*.f64 z (sin.f64 y)))) 2) |
| 2.0ms | z | @ | 0 | (sqrt.f64 (-.f64 x (*.f64 z (sin.f64 y)))) |
| 2.0ms | x | @ | 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 | 2517 | 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)))) (pow.f64 (cbrt.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 (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 (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 expm1.f64 (log1p.f64 (-.f64 x (*.f64 z (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 x (*.f64 z (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 x (*.f64 z (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (*.f64 z (neg.f64 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 x x)) (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 (pow.f64 (cbrt.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 (pow.f64 (cbrt.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 (*.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 /.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 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 expm1.f64 (log1p.f64 (sqrt.f64 (-.f64 x (*.f64 z (sin.f64 y))))))))) (#(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)))))))))) |
| 1× | egg-herbie |
| 788× | associate-*r*_binary64 |
| 785× | associate-*l*_binary64 |
| 761× | fma-def_binary64 |
| 346× | associate-/r*_binary64 |
| 306× | *-commutative_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 148 | 1046 |
| 1 | 457 | 850 |
| 2 | 1586 | 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) |
(fma.f64 (neg.f64 z) (sin.f64 y) x) |
(fma.f64 z (neg.f64 (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)) |
(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) (fma.f64 (neg.f64 z) (sin.f64 y) x)) |
(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) (fma.f64 z (neg.f64 (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)) |
(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) (fma.f64 (neg.f64 z) (sin.f64 y) x)) |
(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) (fma.f64 z (neg.f64 (sin.f64 y)) x)) |
x |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x) |
(fma.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 z (sin.f64 y)) x) |
(fma.f64 (neg.f64 z) (sin.f64 y) x) |
(fma.f64 z (neg.f64 (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)) |
(fma.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 z (sin.f64 y)) x) |
(fma.f64 (neg.f64 z) (sin.f64 y) x) |
(fma.f64 z (neg.f64 (sin.f64 y)) 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))) |
(fma.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 z (sin.f64 y)) x) |
(fma.f64 (neg.f64 z) (sin.f64 y) x) |
(fma.f64 z (neg.f64 (sin.f64 y)) x) |
x |
(+.f64 (*.f64 -1 (*.f64 y z)) x) |
(fma.f64 -1 (*.f64 z y) x) |
(-.f64 x (*.f64 z y)) |
(+.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)) |
(+.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) (-.f64 x (*.f64 z y))) |
(-.f64 x (*.f64 z (sin.f64 y))) |
(fma.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 z (sin.f64 y)) x) |
(fma.f64 (neg.f64 z) (sin.f64 y) x) |
(fma.f64 z (neg.f64 (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) |
(fma.f64 (neg.f64 z) (sin.f64 y) x) |
(fma.f64 z (neg.f64 (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) |
(fma.f64 (neg.f64 z) (sin.f64 y) x) |
(fma.f64 z (neg.f64 (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) |
(fma.f64 (neg.f64 z) (sin.f64 y) x) |
(fma.f64 z (neg.f64 (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) |
(fma.f64 (neg.f64 z) (sin.f64 y) x) |
(fma.f64 z (neg.f64 (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) |
(fma.f64 (neg.f64 z) (sin.f64 y) x) |
(fma.f64 z (neg.f64 (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) |
(fma.f64 (neg.f64 z) (sin.f64 y) x) |
(fma.f64 z (neg.f64 (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) |
(fma.f64 (neg.f64 z) (sin.f64 y) x) |
(fma.f64 z (neg.f64 (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 1 (*.f64 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 (/.f64 x (sqrt.f64 -1)) (*.f64 (sqrt.f64 (/.f64 (/.f64 1 z) (sin.f64 y))) 1/2))) |
(fma.f64 (sqrt.f64 -1) (sqrt.f64 (*.f64 z (sin.f64 y))) (*.f64 (sqrt.f64 (/.f64 1 (*.f64 z (sin.f64 y)))) (/.f64 (*.f64 x 1/2) (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 1 (*.f64 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 (*.f64 x 1/2) (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 1 (*.f64 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 (*.f64 x 1/2) (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 (*.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 z (*.f64 (sin.f64 y) (*.f64 -1/2 (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 (*.f64 z (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 (*.f64 z z) (sqrt.f64 (/.f64 1 (pow.f64 x 3))))) (sqrt.f64 x))) |
(fma.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (*.f64 -1/8 (*.f64 (pow.f64 (sin.f64 y) 2) (*.f64 z z))) (fma.f64 z (*.f64 (sin.f64 y) (*.f64 -1/2 (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 (*.f64 z (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 (*.f64 z z) (sqrt.f64 (/.f64 1 (pow.f64 x 3))))) (fma.f64 -1/16 (*.f64 (pow.f64 z 3) (*.f64 (pow.f64 (sin.f64 y) 3) (sqrt.f64 (/.f64 1 (pow.f64 x 5))))) (sqrt.f64 x)))) |
(fma.f64 -1/8 (*.f64 z (*.f64 z (*.f64 (pow.f64 (sin.f64 y) 2) (sqrt.f64 (/.f64 1 (pow.f64 x 3)))))) (fma.f64 z (*.f64 (sin.f64 y) (*.f64 -1/2 (sqrt.f64 (/.f64 1 x)))) (fma.f64 (pow.f64 z 3) (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 5))) (*.f64 (pow.f64 (sin.f64 y) 3) -1/16)) (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 z y) -1/2) (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 (*.f64 y y) (*.f64 (*.f64 z z) (sqrt.f64 (/.f64 1 (pow.f64 x 3))))) (+.f64 (sqrt.f64 x) (*.f64 (*.f64 -1/2 (*.f64 z y)) (sqrt.f64 (/.f64 1 x))))) |
(fma.f64 -1/8 (*.f64 (*.f64 y y) (*.f64 (*.f64 z z) (sqrt.f64 (/.f64 1 (pow.f64 x 3))))) (fma.f64 (*.f64 (*.f64 z y) -1/2) (sqrt.f64 (/.f64 1 x)) (sqrt.f64 x))) |
(fma.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (*.f64 (*.f64 y y) (*.f64 -1/8 (*.f64 z z))) (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 (*.f64 y y) (*.f64 (*.f64 z z) (sqrt.f64 (/.f64 1 (pow.f64 x 3))))) (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 y y) (*.f64 (*.f64 z z) (sqrt.f64 (/.f64 1 (pow.f64 x 3))))) (fma.f64 (*.f64 (*.f64 -1/2 (fma.f64 1/8 (/.f64 (pow.f64 z 3) (*.f64 x x)) (*.f64 z -1/6))) (pow.f64 y 3)) (sqrt.f64 (/.f64 1 x)) (fma.f64 (*.f64 (*.f64 z y) -1/2) (sqrt.f64 (/.f64 1 x)) (sqrt.f64 x)))) |
(+.f64 (fma.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (*.f64 (*.f64 y y) (*.f64 -1/8 (*.f64 z z))) (sqrt.f64 x)) (*.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 x))) (+.f64 (*.f64 z y) (*.f64 (fma.f64 (/.f64 1/8 x) (/.f64 (pow.f64 z 3) x) (*.f64 z -1/6)) (pow.f64 y 3))))) |
Compiled 21300 to 9439 computations (55.7% saved)
26 alts after pruning (19 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 964 | 8 | 972 |
| Fresh | 4 | 11 | 15 |
| Picked | 1 | 0 | 1 |
| Done | 1 | 7 | 8 |
| Total | 970 | 26 | 996 |
| Status | Error | Program |
|---|---|---|
| 41.6b | (+.f64 x (*.f64 y (*.f64 -1/2 (*.f64 y x)))) | |
| ✓ | 52.7b | (*.f64 y (neg.f64 z)) |
| ✓ | 0.9b | (fma.f64 (*.f64 (cos.f64 y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.f64 (sin.f64 y) (neg.f64 z))) |
| ▶ | 15.6b | (fma.f64 (sin.f64 y) (neg.f64 z) x) |
| ✓ | 14.6b | (fma.f64 (*.f64 x (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)) (*.f64 (sin.f64 y) (neg.f64 z))) |
| ▶ | 1.2b | (fma.f64 (*.f64 (cos.f64 y) (pow.f64 (cbrt.f64 x) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 3) (*.f64 (sin.f64 y) (neg.f64 z))) |
| 41.5b | (+.f64 x (*.f64 y (*.f64 y (*.f64 x 1/2)))) | |
| 16.4b | (pow.f64 (cbrt.f64 (-.f64 x (*.f64 z (sin.f64 y)))) 3) | |
| 1.2b | (pow.f64 (cbrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) 3) | |
| 30.5b | (-.f64 x (*.f64 z y)) | |
| 14.6b | (fma.f64 (*.f64 x (sqrt.f64 (cos.f64 y))) (cbrt.f64 (pow.f64 (cos.f64 y) 3/2)) (*.f64 (sin.f64 y) (neg.f64 z))) | |
| ▶ | 40.3b | (+.f64 x (*.f64 y z)) |
| 35.0b | (-.f64 x (pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 2)) | |
| 39.3b | x | |
| ▶ | 37.4b | (*.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 z (sin.f64 y)) 2)) (/.f64 1 (+.f64 x (*.f64 z (sin.f64 y))))) |
| 38.4b | (*.f64 (sin.f64 y) (neg.f64 z)) | |
| ✓ | 0.1b | (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y))) |
| ✓ | 0.1b | (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 30.5b | (fma.f64 (neg.f64 y) z x) | |
| ✓ | 15.6b | (-.f64 x (*.f64 z (sin.f64 y))) |
| ✓ | 31.7b | (-.f64 x (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)) (*.f64 y z))) |
| 30.7b | (fma.f64 (*.f64 (cos.f64 y) (sqrt.f64 x)) (sqrt.f64 x) (*.f64 (sin.f64 y) (neg.f64 z))) | |
| 24.5b | (*.f64 (cos.f64 y) x) | |
| 50.1b | (pow.f64 (sqrt.f64 (*.f64 z (neg.f64 (sin.f64 y)))) 2) | |
| ▶ | 47.1b | (-.f64 (+.f64 1 (+.f64 (*.f64 y z) x)) 1) |
| 29.3b | (-.f64 (cbrt.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3)) (*.f64 z (sin.f64 y))) |
Compiled 549 to 377 computations (31.3% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.5b | (pow.f64 (cbrt.f64 x) 2) | |
| 0.6b | (cbrt.f64 x) | |
| ✓ | 0.6b | (cbrt.f64 (cbrt.f64 x)) |
| ✓ | 0.7b | (pow.f64 (cbrt.f64 (cbrt.f64 x)) 3) |
Compiled 58 to 24 computations (58.6% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 32.0ms | x | @ | 0 | (pow.f64 (cbrt.f64 (cbrt.f64 x)) 3) |
| 9.0ms | x | @ | inf | (pow.f64 (cbrt.f64 (cbrt.f64 x)) 3) |
| 4.0ms | x | @ | -inf | (pow.f64 (cbrt.f64 (cbrt.f64 x)) 3) |
| 0.0ms | x | @ | -inf | (cbrt.f64 (cbrt.f64 x)) |
| 0.0ms | x | @ | 0 | (cbrt.f64 (cbrt.f64 x)) |
| 1× | batch-egg-rewrite |
| 408× | pow1_binary64 |
| 400× | add-sqr-sqrt_binary64 |
| 387× | add-log-exp_binary64 |
| 387× | log1p-expm1-u_binary64 |
| 387× | expm1-log1p-u_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 8 |
| 1 | 124 | 8 |
| 2 | 1121 | 8 |
| 1× | node limit |
| Inputs |
|---|
(pow.f64 (cbrt.f64 (cbrt.f64 x)) 3) |
(cbrt.f64 (cbrt.f64 x)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (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 (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 (+.f64 1 (cbrt.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 x) (pow.f64 1 1/3))))) (#(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 (cbrt.f64 (cbrt.f64 x)) (pow.f64 (*.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 x))) (cbrt.f64 (cbrt.f64 x))) 3/2))))) (#(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 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 x))) 2) (*.f64 (cbrt.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 (pow.f64 (cbrt.f64 x) 1/6) (*.f64 (pow.f64 (cbrt.f64 x) 1/6) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 3/2) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 x) 1/6) 3/2) (pow.f64 (pow.f64 x 1/6) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 x))) 2)) (cbrt.f64 (cbrt.f64 (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) (pow.f64 (cbrt.f64 x) 1/6)) (pow.f64 (cbrt.f64 x) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 1 1/3) 3) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (cbrt.f64 x))) 1/3) (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2)) 1/3) (cbrt.f64 (cbrt.f64 (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 x 1/6)) 1/3) (pow.f64 (cbrt.f64 x) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 x 1/6) 3/2) (pow.f64 (pow.f64 (cbrt.f64 x) 1/6) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 x))) 2) 2) 3/2) (cbrt.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (cbrt.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 x))) 2)) 3/2) (pow.f64 (cbrt.f64 x) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 1 3/2) 2) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 x)))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.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 +.f64 0 (cbrt.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (cbrt.f64 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (cbrt.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (cbrt.f64 x))))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (cbrt.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (cbrt.f64 (cbrt.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 x)) (pow.f64 1 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 x)) (pow.f64 1 1/9))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 x))) (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 x))) 2) (cbrt.f64 (cbrt.f64 (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 1/6) (pow.f64 (cbrt.f64 x) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) 1/6)) (pow.f64 (*.f64 (pow.f64 (cbrt.f64 x) 1/6) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 x))) 2)) (pow.f64 (*.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 x))) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 3/2) (cbrt.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/9) (cbrt.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 1/9) (pow.f64 (pow.f64 (cbrt.f64 x) 2) 1/9))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 x) 2) 1/9) (pow.f64 (cbrt.f64 x) 1/9))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 x) 1/9) (pow.f64 (sqrt.f64 x) 1/9))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (cbrt.f64 x))) 1/9) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) 1/9))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2)) 1/9) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 1/9))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 x 1/6)) 1/9) (pow.f64 (pow.f64 x 1/6) 1/9))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 1 1/3) 1/3) (cbrt.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 x))) 2)) 1/3) (cbrt.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) (pow.f64 (cbrt.f64 x) 1/6)) 1/3) (cbrt.f64 (pow.f64 (cbrt.f64 x) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 x)))) 2) 3) (cbrt.f64 (cbrt.f64 (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 x)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 x)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 x))) 2)) 2) 3/2) (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 x))) 2)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 x))) 2)) 3/2) (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 x))) 2)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 x 1/9)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 x) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 x))) 2) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 x) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 1/9 (log.f64 x))))))) |
| 1× | egg-herbie |
| 1227× | sqr-pow_binary64 |
| 1010× | unswap-sqr_binary64 |
| 612× | cube-prod_binary64 |
| 456× | unpow3_binary64 |
| 445× | cube-mult_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 21 | 252 |
| 1 | 56 | 228 |
| 2 | 102 | 228 |
| 3 | 213 | 228 |
| 4 | 682 | 184 |
| 5 | 1259 | 184 |
| 6 | 2792 | 184 |
| 7 | 2942 | 184 |
| 8 | 3164 | 184 |
| 9 | 3433 | 184 |
| 10 | 3759 | 184 |
| 11 | 4221 | 184 |
| 12 | 4825 | 184 |
| 13 | 5579 | 184 |
| 14 | 6084 | 184 |
| 15 | 6490 | 184 |
| 16 | 6818 | 184 |
| 17 | 7170 | 184 |
| 18 | 7340 | 184 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 x 1/3)) |
(*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 x 1/3)) |
(*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 x 1/3)) |
(*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 x 1/3)) |
(pow.f64 x 1/3) |
(pow.f64 x 1/3) |
(pow.f64 x 1/3) |
(pow.f64 x 1/3) |
(*.f64 (pow.f64 (*.f64 -1 x) 1/3) (*.f64 (pow.f64 1 1/9) (cbrt.f64 -1))) |
(*.f64 (pow.f64 (*.f64 -1 x) 1/3) (*.f64 (pow.f64 1 1/9) (cbrt.f64 -1))) |
(*.f64 (pow.f64 (*.f64 -1 x) 1/3) (*.f64 (pow.f64 1 1/9) (cbrt.f64 -1))) |
(*.f64 (pow.f64 (*.f64 -1 x) 1/3) (*.f64 (pow.f64 1 1/9) (cbrt.f64 -1))) |
(pow.f64 x 1/9) |
(pow.f64 x 1/9) |
(pow.f64 x 1/9) |
(pow.f64 x 1/9) |
(pow.f64 x 1/9) |
(pow.f64 x 1/9) |
(pow.f64 x 1/9) |
(pow.f64 x 1/9) |
(*.f64 (pow.f64 (*.f64 -1 x) 1/9) (pow.f64 (*.f64 1 (cbrt.f64 -1)) 1/3)) |
(*.f64 (pow.f64 (*.f64 -1 x) 1/9) (pow.f64 (*.f64 1 (cbrt.f64 -1)) 1/3)) |
(*.f64 (pow.f64 (*.f64 -1 x) 1/9) (pow.f64 (*.f64 1 (cbrt.f64 -1)) 1/3)) |
(*.f64 (pow.f64 (*.f64 -1 x) 1/9) (pow.f64 (*.f64 1 (cbrt.f64 -1)) 1/3)) |
| Outputs |
|---|
(*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 x 1/3)) |
(*.f64 1 (cbrt.f64 x)) |
(cbrt.f64 x) |
(*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 x 1/3)) |
(*.f64 1 (cbrt.f64 x)) |
(cbrt.f64 x) |
(*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 x 1/3)) |
(*.f64 1 (cbrt.f64 x)) |
(cbrt.f64 x) |
(*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 x 1/3)) |
(*.f64 1 (cbrt.f64 x)) |
(cbrt.f64 x) |
(pow.f64 x 1/3) |
(*.f64 1 (cbrt.f64 x)) |
(cbrt.f64 x) |
(pow.f64 x 1/3) |
(*.f64 1 (cbrt.f64 x)) |
(cbrt.f64 x) |
(pow.f64 x 1/3) |
(*.f64 1 (cbrt.f64 x)) |
(cbrt.f64 x) |
(pow.f64 x 1/3) |
(*.f64 1 (cbrt.f64 x)) |
(cbrt.f64 x) |
(*.f64 (pow.f64 (*.f64 -1 x) 1/3) (*.f64 (pow.f64 1 1/9) (cbrt.f64 -1))) |
(*.f64 (cbrt.f64 (neg.f64 x)) (cbrt.f64 -1)) |
(*.f64 (pow.f64 (*.f64 -1 x) 1/3) (*.f64 (pow.f64 1 1/9) (cbrt.f64 -1))) |
(*.f64 (cbrt.f64 (neg.f64 x)) (cbrt.f64 -1)) |
(*.f64 (pow.f64 (*.f64 -1 x) 1/3) (*.f64 (pow.f64 1 1/9) (cbrt.f64 -1))) |
(*.f64 (cbrt.f64 (neg.f64 x)) (cbrt.f64 -1)) |
(*.f64 (pow.f64 (*.f64 -1 x) 1/3) (*.f64 (pow.f64 1 1/9) (cbrt.f64 -1))) |
(*.f64 (cbrt.f64 (neg.f64 x)) (cbrt.f64 -1)) |
(pow.f64 x 1/9) |
(*.f64 (pow.f64 x 1/18) (pow.f64 x 1/18)) |
(pow.f64 (pow.f64 x 1/36) 4) |
(pow.f64 (pow.f64 x 1/72) 8) |
(pow.f64 x 1/9) |
(*.f64 (pow.f64 x 1/18) (pow.f64 x 1/18)) |
(pow.f64 (pow.f64 x 1/36) 4) |
(pow.f64 (pow.f64 x 1/72) 8) |
(pow.f64 x 1/9) |
(*.f64 (pow.f64 x 1/18) (pow.f64 x 1/18)) |
(pow.f64 (pow.f64 x 1/36) 4) |
(pow.f64 (pow.f64 x 1/72) 8) |
(pow.f64 x 1/9) |
(*.f64 (pow.f64 x 1/18) (pow.f64 x 1/18)) |
(pow.f64 (pow.f64 x 1/36) 4) |
(pow.f64 (pow.f64 x 1/72) 8) |
(pow.f64 x 1/9) |
(*.f64 (pow.f64 x 1/18) (pow.f64 x 1/18)) |
(pow.f64 (pow.f64 x 1/36) 4) |
(pow.f64 (pow.f64 x 1/72) 8) |
(pow.f64 x 1/9) |
(*.f64 (pow.f64 x 1/18) (pow.f64 x 1/18)) |
(pow.f64 (pow.f64 x 1/36) 4) |
(pow.f64 (pow.f64 x 1/72) 8) |
(pow.f64 x 1/9) |
(*.f64 (pow.f64 x 1/18) (pow.f64 x 1/18)) |
(pow.f64 (pow.f64 x 1/36) 4) |
(pow.f64 (pow.f64 x 1/72) 8) |
(pow.f64 x 1/9) |
(*.f64 (pow.f64 x 1/18) (pow.f64 x 1/18)) |
(pow.f64 (pow.f64 x 1/36) 4) |
(pow.f64 (pow.f64 x 1/72) 8) |
(*.f64 (pow.f64 (*.f64 -1 x) 1/9) (pow.f64 (*.f64 1 (cbrt.f64 -1)) 1/3)) |
(*.f64 (*.f64 (pow.f64 (neg.f64 x) 1/18) (pow.f64 (neg.f64 x) 1/18)) (cbrt.f64 (cbrt.f64 -1))) |
(*.f64 (pow.f64 (neg.f64 x) 1/18) (*.f64 (pow.f64 (neg.f64 x) 1/18) (cbrt.f64 (cbrt.f64 -1)))) |
(*.f64 (pow.f64 (pow.f64 (neg.f64 x) 1/36) 4) (cbrt.f64 (cbrt.f64 -1))) |
(*.f64 (pow.f64 (*.f64 -1 x) 1/9) (pow.f64 (*.f64 1 (cbrt.f64 -1)) 1/3)) |
(*.f64 (*.f64 (pow.f64 (neg.f64 x) 1/18) (pow.f64 (neg.f64 x) 1/18)) (cbrt.f64 (cbrt.f64 -1))) |
(*.f64 (pow.f64 (neg.f64 x) 1/18) (*.f64 (pow.f64 (neg.f64 x) 1/18) (cbrt.f64 (cbrt.f64 -1)))) |
(*.f64 (pow.f64 (pow.f64 (neg.f64 x) 1/36) 4) (cbrt.f64 (cbrt.f64 -1))) |
(*.f64 (pow.f64 (*.f64 -1 x) 1/9) (pow.f64 (*.f64 1 (cbrt.f64 -1)) 1/3)) |
(*.f64 (*.f64 (pow.f64 (neg.f64 x) 1/18) (pow.f64 (neg.f64 x) 1/18)) (cbrt.f64 (cbrt.f64 -1))) |
(*.f64 (pow.f64 (neg.f64 x) 1/18) (*.f64 (pow.f64 (neg.f64 x) 1/18) (cbrt.f64 (cbrt.f64 -1)))) |
(*.f64 (pow.f64 (pow.f64 (neg.f64 x) 1/36) 4) (cbrt.f64 (cbrt.f64 -1))) |
(*.f64 (pow.f64 (*.f64 -1 x) 1/9) (pow.f64 (*.f64 1 (cbrt.f64 -1)) 1/3)) |
(*.f64 (*.f64 (pow.f64 (neg.f64 x) 1/18) (pow.f64 (neg.f64 x) 1/18)) (cbrt.f64 (cbrt.f64 -1))) |
(*.f64 (pow.f64 (neg.f64 x) 1/18) (*.f64 (pow.f64 (neg.f64 x) 1/18) (cbrt.f64 (cbrt.f64 -1)))) |
(*.f64 (pow.f64 (pow.f64 (neg.f64 x) 1/36) 4) (cbrt.f64 (cbrt.f64 -1))) |
Compiled 14 to 5 computations (64.3% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 3.4b | (-.f64 (+.f64 1 (+.f64 (*.f64 y z) x)) 1) |
Compiled 31 to 12 computations (61.3% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | y | @ | 0 | (-.f64 (+.f64 1 (+.f64 (*.f64 y z) x)) 1) |
| 0.0ms | y | @ | -inf | (-.f64 (+.f64 1 (+.f64 (*.f64 y z) x)) 1) |
| 0.0ms | x | @ | -inf | (-.f64 (+.f64 1 (+.f64 (*.f64 y z) x)) 1) |
| 0.0ms | z | @ | -inf | (-.f64 (+.f64 1 (+.f64 (*.f64 y z) x)) 1) |
| 0.0ms | z | @ | 0 | (-.f64 (+.f64 1 (+.f64 (*.f64 y z) x)) 1) |
| 1× | batch-egg-rewrite |
| 559× | fma-def_binary64 |
| 427× | log-prod_binary64 |
| 323× | exp-prod_binary64 |
| 320× | pow-prod-down_binary64 |
| 305× | fma-neg_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 11 |
| 1 | 206 | 5 |
| 2 | 3041 | 5 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (+.f64 1 (+.f64 (*.f64 y z) x)) 1) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 x (fma.f64 y z -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (+.f64 x (fma.f64 y z -1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y z) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 y z x) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 y z (+.f64 x 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 y z x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (fma.f64 y z (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x (fma.f64 y z -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 y z 1) (+.f64 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 y z x))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 y z x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 y z x)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 y z x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 y z x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 y z x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 y z x)) (pow.f64 (cbrt.f64 (fma.f64 y z x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 y z x)) 2) (cbrt.f64 (fma.f64 y z x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 y z x)) (sqrt.f64 (fma.f64 y z x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (expm1.f64 (*.f64 3 (log1p.f64 (fma.f64 y z x)))) (/.f64 1 (+.f64 (pow.f64 (fma.f64 y z (+.f64 x 1)) 2) (+.f64 (fma.f64 y z x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (*.f64 y z) 3) (pow.f64 x 3)) (/.f64 1 (fma.f64 x (-.f64 x (*.f64 y z)) (pow.f64 (*.f64 y z) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (expm1.f64 (*.f64 2 (log1p.f64 (fma.f64 y z x)))) (/.f64 1 (+.f64 (fma.f64 y z x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (*.f64 y z) 2) (*.f64 x x)) (/.f64 1 (fma.f64 y z (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (fma.f64 y z (+.f64 x 1))) 1) (expm1.f64 (*.f64 1/2 (log1p.f64 (fma.f64 y z x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (fma.f64 y z (+.f64 x 1)) 2) (+.f64 (fma.f64 y z x) 2)) (expm1.f64 (*.f64 3 (log1p.f64 (fma.f64 y z x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (fma.f64 y z x) 2) (expm1.f64 (*.f64 2 (log1p.f64 (fma.f64 y z x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x (-.f64 x (*.f64 y z)) (pow.f64 (*.f64 y z) 2)) (+.f64 (pow.f64 (*.f64 y z) 3) (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 y z (neg.f64 x)) (-.f64 (pow.f64 (*.f64 y z) 2) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (expm1.f64 (*.f64 3 (log1p.f64 (fma.f64 y z x)))) 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(fma.f64 y z x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (expm1.f64 (*.f64 2 (log1p.f64 (fma.f64 y z x))))) (neg.f64 (+.f64 (fma.f64 y z x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 y z) 3) (pow.f64 x 3))) (neg.f64 (fma.f64 x (-.f64 x (*.f64 y z)) (pow.f64 (*.f64 y z) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 y z) 2) (*.f64 x x))) (neg.f64 (fma.f64 y z (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (+.f64 x (fma.f64 y z -1)) 3)) (+.f64 1 (-.f64 (pow.f64 (+.f64 x (fma.f64 y z -1)) 2) (+.f64 x (fma.f64 y z -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (+.f64 x (fma.f64 y z -1)) 2)) (-.f64 1 (+.f64 x (fma.f64 y z -1))))))) (#(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 pow.f64 (fma.f64 y z x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (fma.f64 y z x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 y z x) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 y z x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 y z x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 y z x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 (pow.f64 (fma.f64 y z (+.f64 x 1)) 2) (+.f64 (fma.f64 y z x) 2)) (expm1.f64 (*.f64 3 (log1p.f64 (fma.f64 y z x))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 (fma.f64 y z x) 2) (expm1.f64 (*.f64 2 (log1p.f64 (fma.f64 y z x))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 x (-.f64 x (*.f64 y z)) (pow.f64 (*.f64 y z) 2)) (+.f64 (pow.f64 (*.f64 y z) 3) (pow.f64 x 3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 y z (neg.f64 x)) (-.f64 (pow.f64 (*.f64 y z) 2) (*.f64 x x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 y z x))) 2)) (cbrt.f64 (log.f64 (fma.f64 y z x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 y z x)))) (sqrt.f64 (log.f64 (fma.f64 y z x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 y z x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 y z x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 y z x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 y z))) (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (exp.f64 y) z) (+.f64 1 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 y z))) (+.f64 1 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (pow.f64 (exp.f64 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 x) (+.f64 1 (expm1.f64 (*.f64 y z)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (+.f64 1 (expm1.f64 (*.f64 y z)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 y z x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 (sqrt.f64 (fma.f64 y z x)) (sqrt.f64 (*.f64 (fma.f64 y z x) (+.f64 x (fma.f64 y z -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 y z x)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (*.f64 (log1p.f64 (fma.f64 y z x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 y z x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 y z x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 y z x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 y z x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 y z x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 y z x))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 y z x)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 y z x)) 3) 1/3))))) (#(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 1 (fma.f64 y z x) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 y z (+.f64 x 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 x (fma.f64 y z -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 y z 1) (+.f64 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y z x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 z y x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y z) 1 x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 1 (*.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 y z x) 1 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 y z (+.f64 x 1)) 1 -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (fma.f64 y z (+.f64 x 1))) (pow.f64 (cbrt.f64 (fma.f64 y z (+.f64 x 1))) 2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 y z (+.f64 x 1))) 2) (cbrt.f64 (fma.f64 y z (+.f64 x 1))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 y z (+.f64 x 1))) 2) (*.f64 (cbrt.f64 (fma.f64 y z (+.f64 x 1))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 y z)) (pow.f64 (cbrt.f64 (*.f64 y z)) 2) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 y z)) 2) (cbrt.f64 (*.f64 y z)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (*.f64 y z))))) (#(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 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) z) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (fma.f64 y z x)) (pow.f64 (cbrt.f64 (fma.f64 y z x)) 2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 y z x)) 2) (cbrt.f64 (fma.f64 y z x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 z) 2) (*.f64 (cbrt.f64 z) y) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 y z (+.f64 x 1))) (sqrt.f64 (fma.f64 y z (+.f64 x 1))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 y z (+.f64 x 1))) (*.f64 (sqrt.f64 (fma.f64 y z (+.f64 x 1))) 1) -1)))) (#(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 (sqrt.f64 y) (*.f64 (sqrt.f64 y) z) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 y z x)) (sqrt.f64 (fma.f64 y z x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) y) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (expm1.f64 (*.f64 3 (log1p.f64 (fma.f64 y z x)))) (/.f64 1 (+.f64 (pow.f64 (fma.f64 y z (+.f64 x 1)) 2) (+.f64 (fma.f64 y z x) 2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (pow.f64 (*.f64 y z) 3) (pow.f64 x 3)) (/.f64 1 (fma.f64 x (-.f64 x (*.f64 y z)) (pow.f64 (*.f64 y z) 2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 1 (pow.f64 (fma.f64 y z x) 3)) (/.f64 1 (fma.f64 (fma.f64 y z x) (+.f64 x (fma.f64 y z -1)) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (expm1.f64 (*.f64 2 (log1p.f64 (fma.f64 y z x)))) (/.f64 1 (+.f64 (fma.f64 y z x) 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (*.f64 y z) 2) (*.f64 x x)) (/.f64 1 (fma.f64 y z (neg.f64 x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 1 (pow.f64 (fma.f64 y z x) 2)) (/.f64 1 (-.f64 1 (fma.f64 y z x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 x (fma.f64 y z -1))) 2) (cbrt.f64 (+.f64 x (fma.f64 y z -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 y z 1)) 2) (cbrt.f64 (fma.f64 y z 1)) (+.f64 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 x (fma.f64 y z -1))) (sqrt.f64 (+.f64 x (fma.f64 y z -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 y z 1)) (sqrt.f64 (fma.f64 y z 1)) (+.f64 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (fma.f64 y z (+.f64 x 1))) 1) (expm1.f64 (*.f64 1/2 (log1p.f64 (fma.f64 y z x)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (fma.f64 y z x)) 1) (-.f64 (sqrt.f64 (fma.f64 y z x)) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y (sqrt.f64 z)) (sqrt.f64 z) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 z (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 z (sqrt.f64 y)) (sqrt.f64 y) x))))) |
| 1× | egg-herbie |
| 2× | fma-def_binary64 |
| 1× | +-commutative_binary64 |
| 1× | *-commutative_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 159 |
| 1 | 9 | 159 |
| 2 | 10 | 159 |
| 1× | saturated |
| Inputs |
|---|
x |
(+.f64 (*.f64 y z) x) |
(+.f64 (*.f64 y z) x) |
(+.f64 (*.f64 y z) x) |
(*.f64 y z) |
(+.f64 (*.f64 y z) x) |
(+.f64 (*.f64 y z) x) |
(+.f64 (*.f64 y z) x) |
(*.f64 y z) |
(+.f64 (*.f64 y z) x) |
(+.f64 (*.f64 y z) x) |
(+.f64 (*.f64 y z) x) |
x |
(+.f64 (*.f64 y z) x) |
(+.f64 (*.f64 y z) x) |
(+.f64 (*.f64 y z) x) |
(*.f64 y z) |
(+.f64 (*.f64 y z) x) |
(+.f64 (*.f64 y z) x) |
(+.f64 (*.f64 y z) x) |
(*.f64 y z) |
(+.f64 (*.f64 y z) x) |
(+.f64 (*.f64 y z) x) |
(+.f64 (*.f64 y z) x) |
(*.f64 y z) |
(+.f64 (*.f64 y z) x) |
(+.f64 (*.f64 y z) x) |
(+.f64 (*.f64 y z) x) |
x |
(+.f64 (*.f64 y z) x) |
(+.f64 (*.f64 y z) x) |
(+.f64 (*.f64 y z) x) |
x |
(+.f64 (*.f64 y z) x) |
(+.f64 (*.f64 y z) x) |
(+.f64 (*.f64 y z) x) |
| Outputs |
|---|
x |
(+.f64 (*.f64 y z) x) |
(fma.f64 y z x) |
(+.f64 (*.f64 y z) x) |
(fma.f64 y z x) |
(+.f64 (*.f64 y z) x) |
(fma.f64 y z x) |
(*.f64 y z) |
(+.f64 (*.f64 y z) x) |
(fma.f64 y z x) |
(+.f64 (*.f64 y z) x) |
(fma.f64 y z x) |
(+.f64 (*.f64 y z) x) |
(fma.f64 y z x) |
(*.f64 y z) |
(+.f64 (*.f64 y z) x) |
(fma.f64 y z x) |
(+.f64 (*.f64 y z) x) |
(fma.f64 y z x) |
(+.f64 (*.f64 y z) x) |
(fma.f64 y z x) |
x |
(+.f64 (*.f64 y z) x) |
(fma.f64 y z x) |
(+.f64 (*.f64 y z) x) |
(fma.f64 y z x) |
(+.f64 (*.f64 y z) x) |
(fma.f64 y z x) |
(*.f64 y z) |
(+.f64 (*.f64 y z) x) |
(fma.f64 y z x) |
(+.f64 (*.f64 y z) x) |
(fma.f64 y z x) |
(+.f64 (*.f64 y z) x) |
(fma.f64 y z x) |
(*.f64 y z) |
(+.f64 (*.f64 y z) x) |
(fma.f64 y z x) |
(+.f64 (*.f64 y z) x) |
(fma.f64 y z x) |
(+.f64 (*.f64 y z) x) |
(fma.f64 y z x) |
(*.f64 y z) |
(+.f64 (*.f64 y z) x) |
(fma.f64 y z x) |
(+.f64 (*.f64 y z) x) |
(fma.f64 y z x) |
(+.f64 (*.f64 y z) x) |
(fma.f64 y z x) |
x |
(+.f64 (*.f64 y z) x) |
(fma.f64 y z x) |
(+.f64 (*.f64 y z) x) |
(fma.f64 y z x) |
(+.f64 (*.f64 y z) x) |
(fma.f64 y z x) |
x |
(+.f64 (*.f64 y z) x) |
(fma.f64 y z x) |
(+.f64 (*.f64 y z) x) |
(fma.f64 y z x) |
(+.f64 (*.f64 y z) x) |
(fma.f64 y z x) |
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (fma.f64 (sin.f64 y) (neg.f64 z) x) |
Compiled 16 to 6 computations (62.5% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | y | @ | 0 | (fma.f64 (sin.f64 y) (neg.f64 z) x) |
| 0.0ms | x | @ | -inf | (fma.f64 (sin.f64 y) (neg.f64 z) x) |
| 0.0ms | y | @ | -inf | (fma.f64 (sin.f64 y) (neg.f64 z) x) |
| 0.0ms | y | @ | inf | (fma.f64 (sin.f64 y) (neg.f64 z) x) |
| 0.0ms | z | @ | -inf | (fma.f64 (sin.f64 y) (neg.f64 z) x) |
| 1× | batch-egg-rewrite |
| 597× | pow1_binary64 |
| 546× | add-log-exp_binary64 |
| 545× | log1p-expm1-u_binary64 |
| 545× | expm1-log1p-u_binary64 |
| 533× | add-exp-log_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 9 |
| 1 | 140 | 7 |
| 2 | 1712 | 7 |
| 1× | node limit |
| Inputs |
|---|
(fma.f64 (sin.f64 y) (neg.f64 z) x) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 (sin.f64 y) z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 y) z) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (sin.f64 y) z) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 (sin.f64 y) z x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (sin.f64 y) z x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (sin.f64 y) z x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (sin.f64 y) z x)) (pow.f64 (cbrt.f64 (fma.f64 (sin.f64 y) z x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 (sin.f64 y) z x)) 2) (cbrt.f64 (fma.f64 (sin.f64 y) z x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (sin.f64 y) z x)) (sqrt.f64 (fma.f64 (sin.f64 y) z x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 y) z) 3) (pow.f64 x 3)) (+.f64 (*.f64 (*.f64 (sin.f64 y) z) (*.f64 (sin.f64 y) z)) (-.f64 (*.f64 x x) (*.f64 (*.f64 (sin.f64 y) z) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 (sin.f64 y) z) (*.f64 (sin.f64 y) z)) (*.f64 x x)) (-.f64 (*.f64 (sin.f64 y) z) x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (sin.f64 y) z x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (sin.f64 y) z x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (sin.f64 y) z x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (sin.f64 y) z x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (sin.f64 y) z x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 (sin.f64 y) z x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (sin.f64 y) z x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (sin.f64 y) z x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (sin.f64 y) z x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (sin.f64 y) z x))))))) |
| 1× | egg-herbie |
| 825× | distribute-rgt-neg-in_binary64 |
| 811× | fma-def_binary64 |
| 704× | distribute-lft-neg-in_binary64 |
| 596× | unswap-sqr_binary64 |
| 547× | associate-*l*_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 26 | 342 |
| 1 | 74 | 313 |
| 2 | 196 | 308 |
| 3 | 505 | 305 |
| 4 | 1513 | 304 |
| 5 | 4258 | 304 |
| 6 | 6533 | 304 |
| 1× | node limit |
| Inputs |
|---|
x |
(+.f64 (*.f64 -1 (*.f64 y z)) x) |
(+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 y 3) z)) x)) |
(+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 -1/120 (*.f64 (pow.f64 y 5) z)) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 y 3) z)) x))) |
(+.f64 (*.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 (*.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 (*.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) |
(*.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) |
| Outputs |
|---|
x |
(+.f64 (*.f64 -1 (*.f64 y z)) x) |
(fma.f64 -1 (*.f64 y z) x) |
(-.f64 x (*.f64 y z)) |
(fma.f64 y (neg.f64 z) x) |
(+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 y 3) z)) x)) |
(fma.f64 -1 (*.f64 y z) (fma.f64 1/6 (*.f64 z (pow.f64 y 3)) x)) |
(-.f64 (fma.f64 1/6 (*.f64 z (pow.f64 y 3)) x) (*.f64 y z)) |
(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) |
(+.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 y z) (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 y z)) |
(-.f64 (fma.f64 z (fma.f64 -1/120 (pow.f64 y 5) (*.f64 1/6 (pow.f64 y 3))) x) (*.f64 y z)) |
(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 -1/120 (pow.f64 y 5) (*.f64 1/6 (pow.f64 y 3))) y) 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 (*.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 (*.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 (*.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 (*.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 (*.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) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.1b | (*.f64 z (sin.f64 y)) | |
| ✓ | 0.3b | (pow.f64 (*.f64 z (sin.f64 y)) 2) |
| ✓ | 2.7b | (-.f64 (*.f64 x x) (pow.f64 (*.f64 z (sin.f64 y)) 2)) |
| ✓ | 28.1b | (*.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 z (sin.f64 y)) 2)) (/.f64 1 (+.f64 x (*.f64 z (sin.f64 y))))) |
Compiled 66 to 22 computations (66.7% saved)
24 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | z | @ | 0 | (*.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 z (sin.f64 y)) 2)) (/.f64 1 (+.f64 x (*.f64 z (sin.f64 y))))) |
| 2.0ms | z | @ | inf | (-.f64 (*.f64 x x) (pow.f64 (*.f64 z (sin.f64 y)) 2)) |
| 1.0ms | y | @ | inf | (*.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 z (sin.f64 y)) 2)) (/.f64 1 (+.f64 x (*.f64 z (sin.f64 y))))) |
| 1.0ms | y | @ | -inf | (*.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 z (sin.f64 y)) 2)) (/.f64 1 (+.f64 x (*.f64 z (sin.f64 y))))) |
| 1.0ms | x | @ | 0 | (*.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 z (sin.f64 y)) 2)) (/.f64 1 (+.f64 x (*.f64 z (sin.f64 y))))) |
| 1× | batch-egg-rewrite |
| 692× | log-prod_binary64 |
| 600× | fma-def_binary64 |
| 252× | pow1/3_binary64 |
| 249× | expm1-udef_binary64 |
| 249× | log1p-udef_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 50 |
| 1 | 306 | 33 |
| 2 | 4149 | 33 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 z (sin.f64 y)) 2)) (/.f64 1 (+.f64 x (*.f64 z (sin.f64 y))))) |
(-.f64 (*.f64 x x) (pow.f64 (*.f64 z (sin.f64 y)) 2)) |
(pow.f64 (*.f64 z (sin.f64 y)) 2) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (neg.f64 (*.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 (neg.f64 z) (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 (neg.f64 (sin.f64 y)) z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 -1 (*.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 (neg.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 x (*.f64 (neg.f64 (sqrt.f64 (*.f64 z (sin.f64 y)))) (sqrt.f64 (*.f64 z (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 x (*.f64 z (sin.f64 y))))))) (#(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 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(*.f64 z (sin.f64 y)) 2)) (pow.f64 x 4))) (+.f64 (neg.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2)) (pow.f64 (*.f64 z (sin.f64 y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 x 6) (pow.f64 (*.f64 z (sin.f64 y)) 6)) (/.f64 1 (fma.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (fma.f64 x x (pow.f64 (*.f64 z (sin.f64 y)) 2)) (pow.f64 x 4))) (fma.f64 (neg.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2)) 1 (pow.f64 (*.f64 z (sin.f64 y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 x 6) (pow.f64 (*.f64 z (sin.f64 y)) 6)) (/.f64 1 (fma.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (fma.f64 x x (pow.f64 (*.f64 z (sin.f64 y)) 2)) (pow.f64 x 4))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2)) (cbrt.f64 (pow.f64 (*.f64 z (sin.f64 y)) 4)) (pow.f64 (*.f64 z (sin.f64 y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 x 6) (pow.f64 (*.f64 z (sin.f64 y)) 6)) (/.f64 1 (fma.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (fma.f64 x x (pow.f64 (*.f64 z 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(pow.f64 x 4) (pow.f64 (*.f64 z (sin.f64 y)) 4)) (/.f64 1 (fma.f64 x x (pow.f64 (*.f64 z (sin.f64 y)) 2))) (fma.f64 (neg.f64 (pow.f64 (sin.f64 y) 2)) (*.f64 z z) (pow.f64 (*.f64 z (sin.f64 y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (sqrt.f64 x)) (sqrt.f64 x) (neg.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (sqrt.f64 x)) (sqrt.f64 x) (*.f64 (neg.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 (neg.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2))) (cbrt.f64 (neg.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2)))) (cbrt.f64 (neg.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2))) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (neg.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2))) (sqrt.f64 (neg.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2))) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (*.f64 z (sin.f64 y)) 4))) (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (*.f64 z z)) (pow.f64 (sin.f64 y) 2) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (neg.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.f64 (neg.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2)) 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (*.f64 z (sin.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2))) (cbrt.f64 (exp.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 z (*.f64 (sin.f64 y) (*.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 y) (*.f64 z (*.f64 z (sin.f64 y))))))) (#(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 (pow.f64 (*.f64 z (sin.f64 y)) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (*.f64 z (sin.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 z (sin.f64 y)) 4)) (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2) (cbrt.f64 (pow.f64 (*.f64 z (sin.f64 y)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2) (*.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) (*.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 z z) (pow.f64 (sin.f64 y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sin.f64 y) 2) (*.f64 z z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 3) (sqrt.f64 (*.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 z (sin.f64 y)) z) (sin.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 z (sin.f64 y)) (sin.f64 y)) z)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 z (sin.f64 y)) (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2)) (cbrt.f64 (*.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 z (sin.f64 y)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 z (sin.f64 y)) 6))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2)) 1)))))) |
| 1× | egg-herbie |
| 537× | distribute-lft-out_binary64 |
| 478× | distribute-rgt-out_binary64 |
| 439× | fma-def_binary64 |
| 438× | fma-neg_binary64 |
| 365× | associate-*l*_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 72 | 1455 |
| 1 | 218 | 1420 |
| 2 | 667 | 1387 |
| 3 | 3064 | 1377 |
| 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))) |
(/.f64 (-.f64 (pow.f64 x 2) (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))) (+.f64 (*.f64 z (sin.f64 y)) x)) |
(/.f64 (-.f64 (pow.f64 x 2) (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))) (+.f64 (*.f64 z (sin.f64 y)) x)) |
(/.f64 (-.f64 (pow.f64 x 2) (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))) (+.f64 (*.f64 z (sin.f64 y)) x)) |
(/.f64 (-.f64 (pow.f64 x 2) (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))) (+.f64 (*.f64 z (sin.f64 y)) x)) |
(/.f64 (-.f64 (pow.f64 x 2) (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))) (+.f64 (*.f64 z (sin.f64 y)) x)) |
(/.f64 (-.f64 (pow.f64 x 2) (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))) (+.f64 (*.f64 z (sin.f64 y)) x)) |
(/.f64 (-.f64 (pow.f64 x 2) (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))) (+.f64 (*.f64 z (sin.f64 y)) x)) |
(/.f64 (-.f64 (pow.f64 x 2) (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))) (+.f64 (*.f64 z (sin.f64 y)) x)) |
(*.f64 -1 (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))) |
(+.f64 (pow.f64 x 2) (*.f64 -1 (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)))) |
(+.f64 (pow.f64 x 2) (*.f64 -1 (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)))) |
(+.f64 (pow.f64 x 2) (*.f64 -1 (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)))) |
(pow.f64 x 2) |
(+.f64 (pow.f64 x 2) (*.f64 -1 (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)))) |
(+.f64 (pow.f64 x 2) (*.f64 -1 (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)))) |
(+.f64 (pow.f64 x 2) (*.f64 -1 (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)))) |
(pow.f64 x 2) |
(+.f64 (pow.f64 x 2) (*.f64 -1 (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)))) |
(+.f64 (pow.f64 x 2) (*.f64 -1 (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)))) |
(+.f64 (pow.f64 x 2) (*.f64 -1 (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)))) |
(pow.f64 x 2) |
(+.f64 (pow.f64 x 2) (*.f64 -1 (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)))) |
(+.f64 (pow.f64 x 2) (*.f64 -1 (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)))) |
(+.f64 (pow.f64 x 2) (*.f64 -1 (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)))) |
(*.f64 -1 (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))) |
(+.f64 (pow.f64 x 2) (*.f64 -1 (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)))) |
(+.f64 (pow.f64 x 2) (*.f64 -1 (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)))) |
(+.f64 (pow.f64 x 2) (*.f64 -1 (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)))) |
(*.f64 -1 (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))) |
(+.f64 (pow.f64 x 2) (*.f64 -1 (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)))) |
(+.f64 (pow.f64 x 2) (*.f64 -1 (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)))) |
(+.f64 (pow.f64 x 2) (*.f64 -1 (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)))) |
(pow.f64 x 2) |
(+.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) (pow.f64 z 2))) (pow.f64 x 2)) |
(+.f64 (*.f64 1/3 (*.f64 (pow.f64 y 4) (pow.f64 z 2))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) (pow.f64 z 2))) (pow.f64 x 2))) |
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 1/36 (pow.f64 z 2)) (*.f64 1/60 (pow.f64 z 2))) (pow.f64 y 6))) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 y 4) (pow.f64 z 2))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) (pow.f64 z 2))) (pow.f64 x 2)))) |
(-.f64 (pow.f64 x 2) (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))) |
(-.f64 (pow.f64 x 2) (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))) |
(-.f64 (pow.f64 x 2) (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))) |
(-.f64 (pow.f64 x 2) (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))) |
(-.f64 (pow.f64 x 2) (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))) |
(-.f64 (pow.f64 x 2) (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))) |
(-.f64 (pow.f64 x 2) (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))) |
(-.f64 (pow.f64 x 2) (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))) |
(*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)) |
(*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)) |
(*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)) |
(*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)) |
(*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)) |
(*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)) |
(*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)) |
(*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)) |
(*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)) |
(*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)) |
(*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)) |
(*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)) |
(*.f64 (pow.f64 y 2) (pow.f64 z 2)) |
(+.f64 (*.f64 -1/3 (*.f64 (pow.f64 y 4) (pow.f64 z 2))) (*.f64 (pow.f64 y 2) (pow.f64 z 2))) |
(+.f64 (*.f64 -1/3 (*.f64 (pow.f64 y 4) (pow.f64 z 2))) (+.f64 (*.f64 (+.f64 (*.f64 1/36 (pow.f64 z 2)) (*.f64 1/60 (pow.f64 z 2))) (pow.f64 y 6)) (*.f64 (pow.f64 y 2) (pow.f64 z 2)))) |
(+.f64 (*.f64 -1/3 (*.f64 (pow.f64 y 4) (pow.f64 z 2))) (+.f64 (*.f64 (+.f64 (*.f64 1/36 (pow.f64 z 2)) (*.f64 1/60 (pow.f64 z 2))) (pow.f64 y 6)) (+.f64 (*.f64 (pow.f64 y 2) (pow.f64 z 2)) (*.f64 (pow.f64 y 8) (+.f64 (*.f64 -1/360 (pow.f64 z 2)) (*.f64 -1/2520 (pow.f64 z 2))))))) |
(*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)) |
(*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)) |
(*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)) |
(*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)) |
(*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)) |
(*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)) |
(*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)) |
(*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)) |
| 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 (*.f64 -1 (*.f64 z (sin.f64 y))) x) |
(fma.f64 -1 (*.f64 z (sin.f64 y)) x) |
(fma.f64 (neg.f64 z) (sin.f64 y) x) |
(fma.f64 z (neg.f64 (sin.f64 y)) x) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x) |
(fma.f64 -1 (*.f64 z (sin.f64 y)) x) |
(fma.f64 (neg.f64 z) (sin.f64 y) x) |
(fma.f64 z (neg.f64 (sin.f64 y)) x) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x) |
(fma.f64 -1 (*.f64 z (sin.f64 y)) x) |
(fma.f64 (neg.f64 z) (sin.f64 y) x) |
(fma.f64 z (neg.f64 (sin.f64 y)) x) |
x |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x) |
(fma.f64 -1 (*.f64 z (sin.f64 y)) x) |
(fma.f64 (neg.f64 z) (sin.f64 y) x) |
(fma.f64 z (neg.f64 (sin.f64 y)) x) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x) |
(fma.f64 -1 (*.f64 z (sin.f64 y)) x) |
(fma.f64 (neg.f64 z) (sin.f64 y) x) |
(fma.f64 z (neg.f64 (sin.f64 y)) x) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x) |
(fma.f64 -1 (*.f64 z (sin.f64 y)) x) |
(fma.f64 (neg.f64 z) (sin.f64 y) x) |
(fma.f64 z (neg.f64 (sin.f64 y)) x) |
x |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x) |
(fma.f64 -1 (*.f64 z (sin.f64 y)) x) |
(fma.f64 (neg.f64 z) (sin.f64 y) x) |
(fma.f64 z (neg.f64 (sin.f64 y)) x) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x) |
(fma.f64 -1 (*.f64 z (sin.f64 y)) x) |
(fma.f64 (neg.f64 z) (sin.f64 y) x) |
(fma.f64 z (neg.f64 (sin.f64 y)) x) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x) |
(fma.f64 -1 (*.f64 z (sin.f64 y)) x) |
(fma.f64 (neg.f64 z) (sin.f64 y) x) |
(fma.f64 z (neg.f64 (sin.f64 y)) x) |
x |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x) |
(fma.f64 -1 (*.f64 z (sin.f64 y)) x) |
(fma.f64 (neg.f64 z) (sin.f64 y) x) |
(fma.f64 z (neg.f64 (sin.f64 y)) x) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x) |
(fma.f64 -1 (*.f64 z (sin.f64 y)) x) |
(fma.f64 (neg.f64 z) (sin.f64 y) x) |
(fma.f64 z (neg.f64 (sin.f64 y)) x) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x) |
(fma.f64 -1 (*.f64 z (sin.f64 y)) x) |
(fma.f64 (neg.f64 z) (sin.f64 y) x) |
(fma.f64 z (neg.f64 (sin.f64 y)) x) |
(*.f64 -1 (*.f64 z (sin.f64 y))) |
(neg.f64 (*.f64 z (sin.f64 y))) |
(*.f64 z (neg.f64 (sin.f64 y))) |
(*.f64 (sin.f64 y) (neg.f64 z)) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x) |
(fma.f64 -1 (*.f64 z (sin.f64 y)) x) |
(fma.f64 (neg.f64 z) (sin.f64 y) x) |
(fma.f64 z (neg.f64 (sin.f64 y)) x) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x) |
(fma.f64 -1 (*.f64 z (sin.f64 y)) x) |
(fma.f64 (neg.f64 z) (sin.f64 y) x) |
(fma.f64 z (neg.f64 (sin.f64 y)) x) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x) |
(fma.f64 -1 (*.f64 z (sin.f64 y)) x) |
(fma.f64 (neg.f64 z) (sin.f64 y) x) |
(fma.f64 z (neg.f64 (sin.f64 y)) x) |
(*.f64 -1 (*.f64 z (sin.f64 y))) |
(neg.f64 (*.f64 z (sin.f64 y))) |
(*.f64 z (neg.f64 (sin.f64 y))) |
(*.f64 (sin.f64 y) (neg.f64 z)) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x) |
(fma.f64 -1 (*.f64 z (sin.f64 y)) x) |
(fma.f64 (neg.f64 z) (sin.f64 y) x) |
(fma.f64 z (neg.f64 (sin.f64 y)) x) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x) |
(fma.f64 -1 (*.f64 z (sin.f64 y)) x) |
(fma.f64 (neg.f64 z) (sin.f64 y) x) |
(fma.f64 z (neg.f64 (sin.f64 y)) x) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x) |
(fma.f64 -1 (*.f64 z (sin.f64 y)) x) |
(fma.f64 (neg.f64 z) (sin.f64 y) x) |
(fma.f64 z (neg.f64 (sin.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) |
(+.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) |
(+.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)) |
(-.f64 x (*.f64 z (-.f64 y (fma.f64 -1/120 (pow.f64 y 5) (*.f64 1/6 (pow.f64 y 3)))))) |
(/.f64 (-.f64 (pow.f64 x 2) (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))) (+.f64 (*.f64 z (sin.f64 y)) x)) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 z z) (pow.f64 (sin.f64 y) 2))) (fma.f64 z (sin.f64 y) x)) |
(/.f64 (*.f64 (fma.f64 z (sin.f64 y) x) (fma.f64 z (neg.f64 (sin.f64 y)) x)) (fma.f64 z (sin.f64 y) x)) |
(/.f64 (-.f64 (pow.f64 x 2) (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))) (+.f64 (*.f64 z (sin.f64 y)) x)) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 z z) (pow.f64 (sin.f64 y) 2))) (fma.f64 z (sin.f64 y) x)) |
(/.f64 (*.f64 (fma.f64 z (sin.f64 y) x) (fma.f64 z (neg.f64 (sin.f64 y)) x)) (fma.f64 z (sin.f64 y) x)) |
(/.f64 (-.f64 (pow.f64 x 2) (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))) (+.f64 (*.f64 z (sin.f64 y)) x)) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 z z) (pow.f64 (sin.f64 y) 2))) (fma.f64 z (sin.f64 y) x)) |
(/.f64 (*.f64 (fma.f64 z (sin.f64 y) x) (fma.f64 z (neg.f64 (sin.f64 y)) x)) (fma.f64 z (sin.f64 y) x)) |
(/.f64 (-.f64 (pow.f64 x 2) (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))) (+.f64 (*.f64 z (sin.f64 y)) x)) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 z z) (pow.f64 (sin.f64 y) 2))) (fma.f64 z (sin.f64 y) x)) |
(/.f64 (*.f64 (fma.f64 z (sin.f64 y) x) (fma.f64 z (neg.f64 (sin.f64 y)) x)) (fma.f64 z (sin.f64 y) x)) |
(/.f64 (-.f64 (pow.f64 x 2) (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))) (+.f64 (*.f64 z (sin.f64 y)) x)) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 z z) (pow.f64 (sin.f64 y) 2))) (fma.f64 z (sin.f64 y) x)) |
(/.f64 (*.f64 (fma.f64 z (sin.f64 y) x) (fma.f64 z (neg.f64 (sin.f64 y)) x)) (fma.f64 z (sin.f64 y) x)) |
(/.f64 (-.f64 (pow.f64 x 2) (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))) (+.f64 (*.f64 z (sin.f64 y)) x)) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 z z) (pow.f64 (sin.f64 y) 2))) (fma.f64 z (sin.f64 y) x)) |
(/.f64 (*.f64 (fma.f64 z (sin.f64 y) x) (fma.f64 z (neg.f64 (sin.f64 y)) x)) (fma.f64 z (sin.f64 y) x)) |
(/.f64 (-.f64 (pow.f64 x 2) (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))) (+.f64 (*.f64 z (sin.f64 y)) x)) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 z z) (pow.f64 (sin.f64 y) 2))) (fma.f64 z (sin.f64 y) x)) |
(/.f64 (*.f64 (fma.f64 z (sin.f64 y) x) (fma.f64 z (neg.f64 (sin.f64 y)) x)) (fma.f64 z (sin.f64 y) x)) |
(/.f64 (-.f64 (pow.f64 x 2) (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))) (+.f64 (*.f64 z (sin.f64 y)) x)) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 z z) (pow.f64 (sin.f64 y) 2))) (fma.f64 z (sin.f64 y) x)) |
(/.f64 (*.f64 (fma.f64 z (sin.f64 y) x) (fma.f64 z (neg.f64 (sin.f64 y)) x)) (fma.f64 z (sin.f64 y) x)) |
(*.f64 -1 (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))) |
(neg.f64 (*.f64 (*.f64 z z) (pow.f64 (sin.f64 y) 2))) |
(*.f64 (pow.f64 (sin.f64 y) 2) (*.f64 z (neg.f64 z))) |
(*.f64 z (neg.f64 (*.f64 z (pow.f64 (sin.f64 y) 2)))) |
(*.f64 (*.f64 z z) (neg.f64 (pow.f64 (sin.f64 y) 2))) |
(+.f64 (pow.f64 x 2) (*.f64 -1 (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)))) |
(-.f64 (*.f64 x x) (*.f64 (*.f64 z z) (pow.f64 (sin.f64 y) 2))) |
(*.f64 (fma.f64 z (sin.f64 y) x) (fma.f64 z (neg.f64 (sin.f64 y)) x)) |
(+.f64 (pow.f64 x 2) (*.f64 -1 (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)))) |
(-.f64 (*.f64 x x) (*.f64 (*.f64 z z) (pow.f64 (sin.f64 y) 2))) |
(*.f64 (fma.f64 z (sin.f64 y) x) (fma.f64 z (neg.f64 (sin.f64 y)) x)) |
(+.f64 (pow.f64 x 2) (*.f64 -1 (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)))) |
(-.f64 (*.f64 x x) (*.f64 (*.f64 z z) (pow.f64 (sin.f64 y) 2))) |
(*.f64 (fma.f64 z (sin.f64 y) x) (fma.f64 z (neg.f64 (sin.f64 y)) x)) |
(pow.f64 x 2) |
(*.f64 x x) |
(+.f64 (pow.f64 x 2) (*.f64 -1 (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)))) |
(-.f64 (*.f64 x x) (*.f64 (*.f64 z z) (pow.f64 (sin.f64 y) 2))) |
(*.f64 (fma.f64 z (sin.f64 y) x) (fma.f64 z (neg.f64 (sin.f64 y)) x)) |
(+.f64 (pow.f64 x 2) (*.f64 -1 (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)))) |
(-.f64 (*.f64 x x) (*.f64 (*.f64 z z) (pow.f64 (sin.f64 y) 2))) |
(*.f64 (fma.f64 z (sin.f64 y) x) (fma.f64 z (neg.f64 (sin.f64 y)) x)) |
(+.f64 (pow.f64 x 2) (*.f64 -1 (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)))) |
(-.f64 (*.f64 x x) (*.f64 (*.f64 z z) (pow.f64 (sin.f64 y) 2))) |
(*.f64 (fma.f64 z (sin.f64 y) x) (fma.f64 z (neg.f64 (sin.f64 y)) x)) |
(pow.f64 x 2) |
(*.f64 x x) |
(+.f64 (pow.f64 x 2) (*.f64 -1 (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)))) |
(-.f64 (*.f64 x x) (*.f64 (*.f64 z z) (pow.f64 (sin.f64 y) 2))) |
(*.f64 (fma.f64 z (sin.f64 y) x) (fma.f64 z (neg.f64 (sin.f64 y)) x)) |
(+.f64 (pow.f64 x 2) (*.f64 -1 (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)))) |
(-.f64 (*.f64 x x) (*.f64 (*.f64 z z) (pow.f64 (sin.f64 y) 2))) |
(*.f64 (fma.f64 z (sin.f64 y) x) (fma.f64 z (neg.f64 (sin.f64 y)) x)) |
(+.f64 (pow.f64 x 2) (*.f64 -1 (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)))) |
(-.f64 (*.f64 x x) (*.f64 (*.f64 z z) (pow.f64 (sin.f64 y) 2))) |
(*.f64 (fma.f64 z (sin.f64 y) x) (fma.f64 z (neg.f64 (sin.f64 y)) x)) |
(pow.f64 x 2) |
(*.f64 x x) |
(+.f64 (pow.f64 x 2) (*.f64 -1 (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)))) |
(-.f64 (*.f64 x x) (*.f64 (*.f64 z z) (pow.f64 (sin.f64 y) 2))) |
(*.f64 (fma.f64 z (sin.f64 y) x) (fma.f64 z (neg.f64 (sin.f64 y)) x)) |
(+.f64 (pow.f64 x 2) (*.f64 -1 (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)))) |
(-.f64 (*.f64 x x) (*.f64 (*.f64 z z) (pow.f64 (sin.f64 y) 2))) |
(*.f64 (fma.f64 z (sin.f64 y) x) (fma.f64 z (neg.f64 (sin.f64 y)) x)) |
(+.f64 (pow.f64 x 2) (*.f64 -1 (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)))) |
(-.f64 (*.f64 x x) (*.f64 (*.f64 z z) (pow.f64 (sin.f64 y) 2))) |
(*.f64 (fma.f64 z (sin.f64 y) x) (fma.f64 z (neg.f64 (sin.f64 y)) x)) |
(*.f64 -1 (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))) |
(neg.f64 (*.f64 (*.f64 z z) (pow.f64 (sin.f64 y) 2))) |
(*.f64 (pow.f64 (sin.f64 y) 2) (*.f64 z (neg.f64 z))) |
(*.f64 z (neg.f64 (*.f64 z (pow.f64 (sin.f64 y) 2)))) |
(*.f64 (*.f64 z z) (neg.f64 (pow.f64 (sin.f64 y) 2))) |
(+.f64 (pow.f64 x 2) (*.f64 -1 (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)))) |
(-.f64 (*.f64 x x) (*.f64 (*.f64 z z) (pow.f64 (sin.f64 y) 2))) |
(*.f64 (fma.f64 z (sin.f64 y) x) (fma.f64 z (neg.f64 (sin.f64 y)) x)) |
(+.f64 (pow.f64 x 2) (*.f64 -1 (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)))) |
(-.f64 (*.f64 x x) (*.f64 (*.f64 z z) (pow.f64 (sin.f64 y) 2))) |
(*.f64 (fma.f64 z (sin.f64 y) x) (fma.f64 z (neg.f64 (sin.f64 y)) x)) |
(+.f64 (pow.f64 x 2) (*.f64 -1 (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)))) |
(-.f64 (*.f64 x x) (*.f64 (*.f64 z z) (pow.f64 (sin.f64 y) 2))) |
(*.f64 (fma.f64 z (sin.f64 y) x) (fma.f64 z (neg.f64 (sin.f64 y)) x)) |
(*.f64 -1 (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))) |
(neg.f64 (*.f64 (*.f64 z z) (pow.f64 (sin.f64 y) 2))) |
(*.f64 (pow.f64 (sin.f64 y) 2) (*.f64 z (neg.f64 z))) |
(*.f64 z (neg.f64 (*.f64 z (pow.f64 (sin.f64 y) 2)))) |
(*.f64 (*.f64 z z) (neg.f64 (pow.f64 (sin.f64 y) 2))) |
(+.f64 (pow.f64 x 2) (*.f64 -1 (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)))) |
(-.f64 (*.f64 x x) (*.f64 (*.f64 z z) (pow.f64 (sin.f64 y) 2))) |
(*.f64 (fma.f64 z (sin.f64 y) x) (fma.f64 z (neg.f64 (sin.f64 y)) x)) |
(+.f64 (pow.f64 x 2) (*.f64 -1 (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)))) |
(-.f64 (*.f64 x x) (*.f64 (*.f64 z z) (pow.f64 (sin.f64 y) 2))) |
(*.f64 (fma.f64 z (sin.f64 y) x) (fma.f64 z (neg.f64 (sin.f64 y)) x)) |
(+.f64 (pow.f64 x 2) (*.f64 -1 (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)))) |
(-.f64 (*.f64 x x) (*.f64 (*.f64 z z) (pow.f64 (sin.f64 y) 2))) |
(*.f64 (fma.f64 z (sin.f64 y) x) (fma.f64 z (neg.f64 (sin.f64 y)) x)) |
(pow.f64 x 2) |
(*.f64 x x) |
(+.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) (pow.f64 z 2))) (pow.f64 x 2)) |
(fma.f64 -1 (*.f64 (*.f64 z z) (*.f64 y y)) (*.f64 x x)) |
(-.f64 (*.f64 x x) (*.f64 (*.f64 z y) (*.f64 z y))) |
(-.f64 (*.f64 x x) (*.f64 z (*.f64 z (*.f64 y y)))) |
(+.f64 (*.f64 1/3 (*.f64 (pow.f64 y 4) (pow.f64 z 2))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) (pow.f64 z 2))) (pow.f64 x 2))) |
(fma.f64 1/3 (*.f64 (*.f64 z z) (pow.f64 y 4)) (fma.f64 -1 (*.f64 (*.f64 z z) (*.f64 y y)) (*.f64 x x))) |
(+.f64 (*.f64 x x) (*.f64 (*.f64 z z) (+.f64 (*.f64 1/3 (pow.f64 y 4)) (*.f64 (neg.f64 y) y)))) |
(fma.f64 (*.f64 z z) (-.f64 (*.f64 1/3 (pow.f64 y 4)) (*.f64 y y)) (*.f64 x x)) |
(fma.f64 (*.f64 z z) (*.f64 y (-.f64 (*.f64 (pow.f64 y 3) 1/3) y)) (*.f64 x x)) |
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 1/36 (pow.f64 z 2)) (*.f64 1/60 (pow.f64 z 2))) (pow.f64 y 6))) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 y 4) (pow.f64 z 2))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) (pow.f64 z 2))) (pow.f64 x 2)))) |
(fma.f64 -1 (*.f64 (*.f64 (*.f64 z z) 2/45) (pow.f64 y 6)) (fma.f64 1/3 (*.f64 (*.f64 z z) (pow.f64 y 4)) (fma.f64 -1 (*.f64 (*.f64 z z) (*.f64 y y)) (*.f64 x x)))) |
(-.f64 (+.f64 (*.f64 x x) (*.f64 (*.f64 z z) (+.f64 (*.f64 1/3 (pow.f64 y 4)) (*.f64 (neg.f64 y) y)))) (*.f64 (*.f64 (pow.f64 y 6) (*.f64 z z)) 2/45)) |
(fma.f64 (pow.f64 y 6) (*.f64 (*.f64 z z) -2/45) (fma.f64 (*.f64 z z) (-.f64 (*.f64 1/3 (pow.f64 y 4)) (*.f64 y y)) (*.f64 x x))) |
(+.f64 (*.f64 x x) (*.f64 (*.f64 z z) (-.f64 (*.f64 y (-.f64 (*.f64 (pow.f64 y 3) 1/3) y)) (*.f64 (pow.f64 y 6) 2/45)))) |
(-.f64 (pow.f64 x 2) (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))) |
(-.f64 (*.f64 x x) (*.f64 (*.f64 z z) (pow.f64 (sin.f64 y) 2))) |
(*.f64 (fma.f64 z (sin.f64 y) x) (fma.f64 z (neg.f64 (sin.f64 y)) x)) |
(-.f64 (pow.f64 x 2) (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))) |
(-.f64 (*.f64 x x) (*.f64 (*.f64 z z) (pow.f64 (sin.f64 y) 2))) |
(*.f64 (fma.f64 z (sin.f64 y) x) (fma.f64 z (neg.f64 (sin.f64 y)) x)) |
(-.f64 (pow.f64 x 2) (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))) |
(-.f64 (*.f64 x x) (*.f64 (*.f64 z z) (pow.f64 (sin.f64 y) 2))) |
(*.f64 (fma.f64 z (sin.f64 y) x) (fma.f64 z (neg.f64 (sin.f64 y)) x)) |
(-.f64 (pow.f64 x 2) (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))) |
(-.f64 (*.f64 x x) (*.f64 (*.f64 z z) (pow.f64 (sin.f64 y) 2))) |
(*.f64 (fma.f64 z (sin.f64 y) x) (fma.f64 z (neg.f64 (sin.f64 y)) x)) |
(-.f64 (pow.f64 x 2) (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))) |
(-.f64 (*.f64 x x) (*.f64 (*.f64 z z) (pow.f64 (sin.f64 y) 2))) |
(*.f64 (fma.f64 z (sin.f64 y) x) (fma.f64 z (neg.f64 (sin.f64 y)) x)) |
(-.f64 (pow.f64 x 2) (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))) |
(-.f64 (*.f64 x x) (*.f64 (*.f64 z z) (pow.f64 (sin.f64 y) 2))) |
(*.f64 (fma.f64 z (sin.f64 y) x) (fma.f64 z (neg.f64 (sin.f64 y)) x)) |
(-.f64 (pow.f64 x 2) (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))) |
(-.f64 (*.f64 x x) (*.f64 (*.f64 z z) (pow.f64 (sin.f64 y) 2))) |
(*.f64 (fma.f64 z (sin.f64 y) x) (fma.f64 z (neg.f64 (sin.f64 y)) x)) |
(-.f64 (pow.f64 x 2) (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))) |
(-.f64 (*.f64 x x) (*.f64 (*.f64 z z) (pow.f64 (sin.f64 y) 2))) |
(*.f64 (fma.f64 z (sin.f64 y) x) (fma.f64 z (neg.f64 (sin.f64 y)) x)) |
(*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)) |
(*.f64 (*.f64 z z) (pow.f64 (sin.f64 y) 2)) |
(*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)) |
(*.f64 (*.f64 z z) (pow.f64 (sin.f64 y) 2)) |
(*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)) |
(*.f64 (*.f64 z z) (pow.f64 (sin.f64 y) 2)) |
(*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)) |
(*.f64 (*.f64 z z) (pow.f64 (sin.f64 y) 2)) |
(*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)) |
(*.f64 (*.f64 z z) (pow.f64 (sin.f64 y) 2)) |
(*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)) |
(*.f64 (*.f64 z z) (pow.f64 (sin.f64 y) 2)) |
(*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)) |
(*.f64 (*.f64 z z) (pow.f64 (sin.f64 y) 2)) |
(*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)) |
(*.f64 (*.f64 z z) (pow.f64 (sin.f64 y) 2)) |
(*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)) |
(*.f64 (*.f64 z z) (pow.f64 (sin.f64 y) 2)) |
(*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)) |
(*.f64 (*.f64 z z) (pow.f64 (sin.f64 y) 2)) |
(*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)) |
(*.f64 (*.f64 z z) (pow.f64 (sin.f64 y) 2)) |
(*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)) |
(*.f64 (*.f64 z z) (pow.f64 (sin.f64 y) 2)) |
(*.f64 (pow.f64 y 2) (pow.f64 z 2)) |
(*.f64 (*.f64 z z) (*.f64 y y)) |
(*.f64 (*.f64 z y) (*.f64 z y)) |
(*.f64 z (*.f64 z (*.f64 y y))) |
(+.f64 (*.f64 -1/3 (*.f64 (pow.f64 y 4) (pow.f64 z 2))) (*.f64 (pow.f64 y 2) (pow.f64 z 2))) |
(fma.f64 -1/3 (*.f64 (*.f64 z z) (pow.f64 y 4)) (*.f64 (*.f64 z z) (*.f64 y y))) |
(*.f64 (*.f64 z z) (+.f64 (*.f64 y y) (*.f64 (pow.f64 y 4) -1/3))) |
(*.f64 z (*.f64 z (fma.f64 y y (*.f64 (pow.f64 y 4) -1/3)))) |
(+.f64 (*.f64 -1/3 (*.f64 (pow.f64 y 4) (pow.f64 z 2))) (+.f64 (*.f64 (+.f64 (*.f64 1/36 (pow.f64 z 2)) (*.f64 1/60 (pow.f64 z 2))) (pow.f64 y 6)) (*.f64 (pow.f64 y 2) (pow.f64 z 2)))) |
(fma.f64 -1/3 (*.f64 (*.f64 z z) (pow.f64 y 4)) (fma.f64 (*.f64 (*.f64 z z) 2/45) (pow.f64 y 6) (*.f64 (*.f64 z z) (*.f64 y y)))) |
(+.f64 (*.f64 (*.f64 (pow.f64 y 6) (*.f64 z z)) 2/45) (*.f64 (*.f64 z z) (+.f64 (*.f64 y y) (*.f64 (pow.f64 y 4) -1/3)))) |
(*.f64 (*.f64 z z) (+.f64 (*.f64 (pow.f64 y 6) 2/45) (fma.f64 y y (*.f64 (pow.f64 y 4) -1/3)))) |
(+.f64 (*.f64 -1/3 (*.f64 (pow.f64 y 4) (pow.f64 z 2))) (+.f64 (*.f64 (+.f64 (*.f64 1/36 (pow.f64 z 2)) (*.f64 1/60 (pow.f64 z 2))) (pow.f64 y 6)) (+.f64 (*.f64 (pow.f64 y 2) (pow.f64 z 2)) (*.f64 (pow.f64 y 8) (+.f64 (*.f64 -1/360 (pow.f64 z 2)) (*.f64 -1/2520 (pow.f64 z 2))))))) |
(fma.f64 -1/3 (*.f64 (*.f64 z z) (pow.f64 y 4)) (fma.f64 (*.f64 (*.f64 z z) 2/45) (pow.f64 y 6) (fma.f64 (*.f64 y y) (*.f64 z z) (*.f64 (pow.f64 y 8) (*.f64 (*.f64 z z) -1/315))))) |
(+.f64 (+.f64 (*.f64 (*.f64 (pow.f64 y 6) (*.f64 z z)) 2/45) (*.f64 (*.f64 z z) (+.f64 (*.f64 y y) (*.f64 (pow.f64 y 4) -1/3)))) (*.f64 (*.f64 z z) (*.f64 -1/315 (pow.f64 y 8)))) |
(+.f64 (*.f64 (*.f64 z z) (+.f64 (*.f64 (pow.f64 y 6) 2/45) (fma.f64 y y (*.f64 (pow.f64 y 4) -1/3)))) (*.f64 z (*.f64 (*.f64 z -1/315) (pow.f64 y 8)))) |
(*.f64 (*.f64 z z) (+.f64 (fma.f64 y y (*.f64 (pow.f64 y 4) -1/3)) (+.f64 (*.f64 (pow.f64 y 6) 2/45) (*.f64 (pow.f64 y 8) -1/315)))) |
(*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)) |
(*.f64 (*.f64 z z) (pow.f64 (sin.f64 y) 2)) |
(*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)) |
(*.f64 (*.f64 z z) (pow.f64 (sin.f64 y) 2)) |
(*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)) |
(*.f64 (*.f64 z z) (pow.f64 (sin.f64 y) 2)) |
(*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)) |
(*.f64 (*.f64 z z) (pow.f64 (sin.f64 y) 2)) |
(*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)) |
(*.f64 (*.f64 z z) (pow.f64 (sin.f64 y) 2)) |
(*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)) |
(*.f64 (*.f64 z z) (pow.f64 (sin.f64 y) 2)) |
(*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)) |
(*.f64 (*.f64 z z) (pow.f64 (sin.f64 y) 2)) |
(*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)) |
(*.f64 (*.f64 z z) (pow.f64 (sin.f64 y) 2)) |
Compiled 20105 to 7562 computations (62.4% saved)
27 alts after pruning (15 fresh and 12 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 816 | 3 | 819 |
| Fresh | 2 | 12 | 14 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 11 | 11 |
| Total | 818 | 27 | 845 |
| Status | Error | Program |
|---|---|---|
| 41.6b | (+.f64 x (*.f64 y (*.f64 -1/2 (*.f64 y x)))) | |
| ✓ | 52.7b | (*.f64 y (neg.f64 z)) |
| ✓ | 0.9b | (fma.f64 (*.f64 (cos.f64 y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.f64 (sin.f64 y) (neg.f64 z))) |
| ✓ | 15.6b | (fma.f64 (sin.f64 y) (neg.f64 z) x) |
| ✓ | 14.6b | (fma.f64 (*.f64 x (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)) (*.f64 (sin.f64 y) (neg.f64 z))) |
| ✓ | 1.2b | (fma.f64 (*.f64 (cos.f64 y) (pow.f64 (cbrt.f64 x) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 3) (*.f64 (sin.f64 y) (neg.f64 z))) |
| 38.4b | (*.f64 (sin.f64 y) (neg.f64 z)) | |
| 41.5b | (+.f64 x (*.f64 y (*.f64 y (*.f64 x 1/2)))) | |
| 16.4b | (pow.f64 (cbrt.f64 (-.f64 x (*.f64 z (sin.f64 y)))) 3) | |
| 1.2b | (pow.f64 (cbrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) 3) | |
| 30.5b | (-.f64 x (*.f64 z y)) | |
| 14.6b | (fma.f64 (*.f64 x (sqrt.f64 (cos.f64 y))) (cbrt.f64 (pow.f64 (cos.f64 y) 3/2)) (*.f64 (sin.f64 y) (neg.f64 z))) | |
| ✓ | 40.3b | (+.f64 x (*.f64 y z)) |
| 35.0b | (-.f64 x (pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 2)) | |
| ✓ | 37.4b | (*.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 z (sin.f64 y)) 2)) (/.f64 1 (+.f64 x (*.f64 z (sin.f64 y))))) |
| ✓ | 0.1b | (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y))) |
| ✓ | 0.1b | (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 30.5b | (fma.f64 (neg.f64 y) z x) | |
| 62.1b | (*.f64 y z) | |
| ✓ | 15.6b | (-.f64 x (*.f64 z (sin.f64 y))) |
| ✓ | 31.7b | (-.f64 x (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)) (*.f64 y z))) |
| 30.7b | (fma.f64 (*.f64 (cos.f64 y) (sqrt.f64 x)) (sqrt.f64 x) (*.f64 (sin.f64 y) (neg.f64 z))) | |
| 24.5b | (*.f64 (cos.f64 y) x) | |
| 50.1b | (pow.f64 (sqrt.f64 (*.f64 z (neg.f64 (sin.f64 y)))) 2) | |
| ✓ | 47.1b | (-.f64 (+.f64 1 (+.f64 (*.f64 y z) x)) 1) |
| 39.3b | x | |
| 29.3b | (-.f64 (cbrt.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3)) (*.f64 z (sin.f64 y))) |
Compiled 328 to 224 computations (31.7% saved)
| Inputs |
|---|
x |
x |
x |
(*.f64 y z) |
(*.f64 y (neg.f64 z)) |
(-.f64 x (*.f64 z y)) |
(+.f64 x (*.f64 y z)) |
(-.f64 x (*.f64 y z)) |
(*.f64 (+.f64 (*.f64 y z) x) 1) |
(+.f64 (*.f64 -1 (*.f64 y z)) x) |
(+.f64 x (*.f64 y (*.f64 -1/2 (*.f64 y x)))) |
(+.f64 x (*.f64 y (*.f64 y (*.f64 x 1/2)))) |
(-.f64 (+.f64 1 (+.f64 (*.f64 y z) x)) 1) |
(+.f64 x (*.f64 y (-.f64 (*.f64 y (*.f64 x -1/2)) z))) |
(*.f64 (cos.f64 y) x) |
(*.f64 (sin.f64 y) (neg.f64 z)) |
(*.f64 (sin.f64 y) (neg.f64 z)) |
(fma.f64 (neg.f64 y) z x) |
(*.f64 (sin.f64 y) (neg.f64 z)) |
(fma.f64 z (neg.f64 y) x) |
(-.f64 x (*.f64 z (sin.f64 y))) |
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 y z)) |
(-.f64 x (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)) (*.f64 y z))) |
(fma.f64 (sin.f64 y) (neg.f64 z) x) |
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(-.f64 (*.f64 x (cos.f64 y)) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)) (*.f64 y z))) |
(pow.f64 (sqrt.f64 (*.f64 z (neg.f64 (sin.f64 y)))) 2) |
(pow.f64 (sqrt.f64 (-.f64 x (*.f64 z (sin.f64 y)))) 2) |
(pow.f64 (cbrt.f64 (-.f64 x (*.f64 z (sin.f64 y)))) 3) |
(-.f64 x (pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 2)) |
(fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y))) |
(*.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 z (sin.f64 y)) 2)) (/.f64 1 (+.f64 x (*.f64 z (sin.f64 y))))) |
(*.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 z (sin.f64 y)) 2)) (/.f64 1 (+.f64 x (*.f64 z (sin.f64 y))))) |
(-.f64 (*.f64 x (cos.f64 y)) (pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 2)) |
(pow.f64 (sqrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) 2) |
(-.f64 (cbrt.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3)) (*.f64 z (sin.f64 y))) |
(pow.f64 (cbrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) 3) |
(fma.f64 (*.f64 (cos.f64 y) (sqrt.f64 x)) (sqrt.f64 x) (*.f64 (sin.f64 y) (neg.f64 z))) |
(fma.f64 (*.f64 x (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)) (*.f64 (sin.f64 y) (neg.f64 z))) |
(fma.f64 (*.f64 (neg.f64 z) (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y)) (*.f64 x (cos.f64 y))) |
(fma.f64 (*.f64 (cos.f64 y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.f64 (sin.f64 y) (neg.f64 z))) |
(fma.f64 (*.f64 x (sqrt.f64 (cos.f64 y))) (cbrt.f64 (pow.f64 (cos.f64 y) 3/2)) (*.f64 (sin.f64 y) (neg.f64 z))) |
(*.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2)) (/.f64 1 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))))) |
(fma.f64 (*.f64 (cos.f64 y) (pow.f64 (cbrt.f64 x) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 3) (*.f64 (sin.f64 y) (neg.f64 z))) |
| Outputs |
|---|
(fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y))) |
5 calls:
| 105.0ms | z |
| 70.0ms | x |
| 59.0ms | y |
| 43.0ms | (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 42.0ms | (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| Error | Segments | Branch |
|---|---|---|
| 0.1b | 1 | x |
| 0.1b | 1 | y |
| 0.1b | 1 | z |
| 0.1b | 1 | (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 0.1b | 1 | (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
Compiled 447 to 165 computations (63.1% saved)
| Inputs |
|---|
x |
x |
x |
(*.f64 y z) |
(*.f64 y (neg.f64 z)) |
(-.f64 x (*.f64 z y)) |
(+.f64 x (*.f64 y z)) |
(-.f64 x (*.f64 y z)) |
(*.f64 (+.f64 (*.f64 y z) x) 1) |
(+.f64 (*.f64 -1 (*.f64 y z)) x) |
(+.f64 x (*.f64 y (*.f64 -1/2 (*.f64 y x)))) |
(+.f64 x (*.f64 y (*.f64 y (*.f64 x 1/2)))) |
(-.f64 (+.f64 1 (+.f64 (*.f64 y z) x)) 1) |
(+.f64 x (*.f64 y (-.f64 (*.f64 y (*.f64 x -1/2)) z))) |
(*.f64 (cos.f64 y) x) |
(*.f64 (sin.f64 y) (neg.f64 z)) |
(*.f64 (sin.f64 y) (neg.f64 z)) |
(fma.f64 (neg.f64 y) z x) |
(*.f64 (sin.f64 y) (neg.f64 z)) |
(fma.f64 z (neg.f64 y) x) |
(-.f64 x (*.f64 z (sin.f64 y))) |
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 y z)) |
(-.f64 x (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)) (*.f64 y z))) |
(fma.f64 (sin.f64 y) (neg.f64 z) x) |
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(-.f64 (*.f64 x (cos.f64 y)) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)) (*.f64 y z))) |
(pow.f64 (sqrt.f64 (*.f64 z (neg.f64 (sin.f64 y)))) 2) |
(pow.f64 (sqrt.f64 (-.f64 x (*.f64 z (sin.f64 y)))) 2) |
(pow.f64 (cbrt.f64 (-.f64 x (*.f64 z (sin.f64 y)))) 3) |
(-.f64 x (pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 2)) |
| Outputs |
|---|
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
4 calls:
| 58.0ms | y |
| 57.0ms | x |
| 55.0ms | (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 31.0ms | 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 226 to 95 computations (58% saved)
| Inputs |
|---|
x |
x |
x |
(*.f64 y z) |
(*.f64 y (neg.f64 z)) |
(-.f64 x (*.f64 z y)) |
(+.f64 x (*.f64 y z)) |
(-.f64 x (*.f64 y z)) |
(*.f64 (+.f64 (*.f64 y z) x) 1) |
(+.f64 (*.f64 -1 (*.f64 y z)) x) |
(+.f64 x (*.f64 y (*.f64 -1/2 (*.f64 y x)))) |
(+.f64 x (*.f64 y (*.f64 y (*.f64 x 1/2)))) |
(-.f64 (+.f64 1 (+.f64 (*.f64 y z) x)) 1) |
(+.f64 x (*.f64 y (-.f64 (*.f64 y (*.f64 x -1/2)) z))) |
(*.f64 (cos.f64 y) x) |
(*.f64 (sin.f64 y) (neg.f64 z)) |
(*.f64 (sin.f64 y) (neg.f64 z)) |
(fma.f64 (neg.f64 y) z x) |
(*.f64 (sin.f64 y) (neg.f64 z)) |
(fma.f64 z (neg.f64 y) x) |
(-.f64 x (*.f64 z (sin.f64 y))) |
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 y z)) |
(-.f64 x (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)) (*.f64 y z))) |
(fma.f64 (sin.f64 y) (neg.f64 z) x) |
| Outputs |
|---|
(*.f64 (cos.f64 y) x) |
(fma.f64 (sin.f64 y) (neg.f64 z) x) |
(*.f64 (cos.f64 y) x) |
3 calls:
| 108.0ms | y |
| 78.0ms | x |
| 49.0ms | z |
| Error | Segments | Branch |
|---|---|---|
| 7.2b | 3 | x |
| 10.5b | 6 | y |
| 8.3b | 3 | z |
Compiled 154 to 64 computations (58.4% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 86.0ms | 9.896522597872772e+38 | 4.0356090112706295e+44 |
| 61.0ms | -9.022991087177669e-7 | -4.395532202361312e-8 |
Compiled 18 to 13 computations (27.8% saved)
| Inputs |
|---|
x |
x |
x |
(*.f64 y z) |
(*.f64 y (neg.f64 z)) |
(-.f64 x (*.f64 z y)) |
(+.f64 x (*.f64 y z)) |
(-.f64 x (*.f64 y z)) |
(*.f64 (+.f64 (*.f64 y z) x) 1) |
(+.f64 (*.f64 -1 (*.f64 y z)) x) |
(+.f64 x (*.f64 y (*.f64 -1/2 (*.f64 y x)))) |
(+.f64 x (*.f64 y (*.f64 y (*.f64 x 1/2)))) |
(-.f64 (+.f64 1 (+.f64 (*.f64 y z) x)) 1) |
(+.f64 x (*.f64 y (-.f64 (*.f64 y (*.f64 x -1/2)) z))) |
(*.f64 (cos.f64 y) x) |
(*.f64 (sin.f64 y) (neg.f64 z)) |
(*.f64 (sin.f64 y) (neg.f64 z)) |
(fma.f64 (neg.f64 y) z x) |
(*.f64 (sin.f64 y) (neg.f64 z)) |
(fma.f64 z (neg.f64 y) x) |
(-.f64 x (*.f64 z (sin.f64 y))) |
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 y z)) |
(-.f64 x (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)) (*.f64 y z))) |
| Outputs |
|---|
(*.f64 (cos.f64 y) x) |
(-.f64 x (*.f64 z (sin.f64 y))) |
(*.f64 (cos.f64 y) x) |
3 calls:
| 79.0ms | y |
| 47.0ms | x |
| 35.0ms | z |
| Error | Segments | Branch |
|---|---|---|
| 7.2b | 3 | x |
| 10.5b | 6 | y |
| 8.3b | 3 | z |
Compiled 148 to 63 computations (57.4% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 102.0ms | 9.896522597872772e+38 | 4.0356090112706295e+44 |
| 62.0ms | -9.022991087177669e-7 | -4.395532202361312e-8 |
Compiled 18 to 13 computations (27.8% saved)
| Inputs |
|---|
x |
x |
x |
(*.f64 y z) |
(*.f64 y (neg.f64 z)) |
(-.f64 x (*.f64 z y)) |
(+.f64 x (*.f64 y z)) |
(-.f64 x (*.f64 y z)) |
(*.f64 (+.f64 (*.f64 y z) x) 1) |
(+.f64 (*.f64 -1 (*.f64 y z)) x) |
(+.f64 x (*.f64 y (*.f64 -1/2 (*.f64 y x)))) |
(+.f64 x (*.f64 y (*.f64 y (*.f64 x 1/2)))) |
(-.f64 (+.f64 1 (+.f64 (*.f64 y z) x)) 1) |
(+.f64 x (*.f64 y (-.f64 (*.f64 y (*.f64 x -1/2)) z))) |
(*.f64 (cos.f64 y) x) |
(*.f64 (sin.f64 y) (neg.f64 z)) |
(*.f64 (sin.f64 y) (neg.f64 z)) |
(fma.f64 (neg.f64 y) z x) |
(*.f64 (sin.f64 y) (neg.f64 z)) |
(fma.f64 z (neg.f64 y) x) |
| Outputs |
|---|
(*.f64 (cos.f64 y) x) |
(*.f64 (sin.f64 y) (neg.f64 z)) |
(*.f64 (cos.f64 y) x) |
(*.f64 (sin.f64 y) (neg.f64 z)) |
(*.f64 (cos.f64 y) x) |
(fma.f64 (neg.f64 y) z x) |
(*.f64 (cos.f64 y) x) |
3 calls:
| 103.0ms | y |
| 50.0ms | z |
| 33.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 13.7b | 3 | x |
| 11.0b | 7 | y |
| 11.9b | 5 | z |
Compiled 121 to 52 computations (57% saved)
| 6× | binary-search |
| Time | Left | Right |
|---|---|---|
| 77.0ms | 0.08839147709823608 | 6.904028969813479 |
| 39.0ms | -16478034.072394175 | -10604636.769083364 |
| 72.0ms | -7.568392764912005e+83 | -7.571247561117888e+80 |
| 116.0ms | -1.6551753127859233e+187 | -1.3670252685500282e+187 |
| 114.0ms | -7.73123433079739e+213 | -4.010715378716946e+212 |
| 163.0ms | -3.5842381778848335e+280 | -2.458758370196345e+270 |
Compiled 18 to 13 computations (27.8% saved)
| Inputs |
|---|
x |
x |
x |
(*.f64 y z) |
(*.f64 y (neg.f64 z)) |
(-.f64 x (*.f64 z y)) |
(+.f64 x (*.f64 y z)) |
(-.f64 x (*.f64 y z)) |
(*.f64 (+.f64 (*.f64 y z) x) 1) |
(+.f64 (*.f64 -1 (*.f64 y z)) x) |
(+.f64 x (*.f64 y (*.f64 -1/2 (*.f64 y x)))) |
(+.f64 x (*.f64 y (*.f64 y (*.f64 x 1/2)))) |
(-.f64 (+.f64 1 (+.f64 (*.f64 y z) x)) 1) |
(+.f64 x (*.f64 y (-.f64 (*.f64 y (*.f64 x -1/2)) z))) |
(*.f64 (cos.f64 y) x) |
(*.f64 (sin.f64 y) (neg.f64 z)) |
(*.f64 (sin.f64 y) (neg.f64 z)) |
| Outputs |
|---|
(*.f64 (cos.f64 y) x) |
(*.f64 (sin.f64 y) (neg.f64 z)) |
(*.f64 (cos.f64 y) x) |
(*.f64 (sin.f64 y) (neg.f64 z)) |
(*.f64 (cos.f64 y) x) |
(-.f64 x (*.f64 z y)) |
(*.f64 (cos.f64 y) x) |
3 calls:
| 101.0ms | y |
| 49.0ms | z |
| 25.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 13.7b | 3 | x |
| 11.0b | 7 | y |
| 11.9b | 5 | z |
Compiled 106 to 49 computations (53.8% saved)
| 6× | binary-search |
| Time | Left | Right |
|---|---|---|
| 56.0ms | 0.08839147709823608 | 6.904028969813479 |
| 45.0ms | -16478034.072394175 | -10604636.769083364 |
| 75.0ms | -7.568392764912005e+83 | -7.571247561117888e+80 |
| 111.0ms | -1.6551753127859233e+187 | -1.3670252685500282e+187 |
| 152.0ms | -7.73123433079739e+213 | -4.010715378716946e+212 |
| 151.0ms | -3.5842381778848335e+280 | -2.458758370196345e+270 |
Compiled 18 to 13 computations (27.8% saved)
| Inputs |
|---|
x |
x |
x |
(*.f64 y z) |
(*.f64 y (neg.f64 z)) |
(-.f64 x (*.f64 z y)) |
(+.f64 x (*.f64 y z)) |
(-.f64 x (*.f64 y z)) |
(*.f64 (+.f64 (*.f64 y z) x) 1) |
(+.f64 (*.f64 -1 (*.f64 y z)) x) |
(+.f64 x (*.f64 y (*.f64 -1/2 (*.f64 y x)))) |
(+.f64 x (*.f64 y (*.f64 y (*.f64 x 1/2)))) |
(-.f64 (+.f64 1 (+.f64 (*.f64 y z) x)) 1) |
(+.f64 x (*.f64 y (-.f64 (*.f64 y (*.f64 x -1/2)) z))) |
(*.f64 (cos.f64 y) x) |
| Outputs |
|---|
(*.f64 (cos.f64 y) x) |
(-.f64 x (*.f64 z y)) |
(*.f64 (cos.f64 y) x) |
3 calls:
| 45.0ms | x |
| 43.0ms | y |
| 42.0ms | z |
| Error | Segments | Branch |
|---|---|---|
| 18.2b | 3 | x |
| 14.9b | 3 | y |
| 18.9b | 3 | z |
Compiled 96 to 47 computations (51% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 57.0ms | 0.08839147709823608 | 6.904028969813479 |
| 65.0ms | -16478034.072394175 | -10604636.769083364 |
Compiled 18 to 13 computations (27.8% saved)
| Inputs |
|---|
x |
x |
x |
(*.f64 y z) |
(*.f64 y (neg.f64 z)) |
(-.f64 x (*.f64 z y)) |
(+.f64 x (*.f64 y z)) |
(-.f64 x (*.f64 y z)) |
(*.f64 (+.f64 (*.f64 y z) x) 1) |
(+.f64 (*.f64 -1 (*.f64 y z)) x) |
(+.f64 x (*.f64 y (*.f64 -1/2 (*.f64 y x)))) |
(+.f64 x (*.f64 y (*.f64 y (*.f64 x 1/2)))) |
(-.f64 (+.f64 1 (+.f64 (*.f64 y z) x)) 1) |
(+.f64 x (*.f64 y (-.f64 (*.f64 y (*.f64 x -1/2)) z))) |
| Outputs |
|---|
(-.f64 x (*.f64 z y)) |
3 calls:
| 16.0ms | z |
| 15.0ms | x |
| 15.0ms | y |
| Error | Segments | Branch |
|---|---|---|
| 30.5b | 1 | x |
| 30.5b | 1 | y |
| 30.5b | 1 | z |
Compiled 92 to 45 computations (51.1% saved)
| Inputs |
|---|
x |
x |
x |
(*.f64 y z) |
(*.f64 y (neg.f64 z)) |
| Outputs |
|---|
x |
(*.f64 y (neg.f64 z)) |
3 calls:
| 26.0ms | y |
| 26.0ms | x |
| 17.0ms | z |
| Error | Segments | Branch |
|---|---|---|
| 36.7b | 3 | x |
| 37.8b | 3 | y |
| 35.7b | 2 | z |
Compiled 25 to 15 computations (40% saved)
| 1× | binary-search |
| Time | Left | Right |
|---|---|---|
| 102.0ms | 2.5084330127203226e+66 | 7.567312516655829e+74 |
Compiled 18 to 13 computations (27.8% saved)
Total -23.1b remaining (-58.8%)
Threshold costs -23.1b (-58.8%)
| Inputs |
|---|
x |
x |
x |
(*.f64 y z) |
| Outputs |
|---|
x |
3 calls:
| 9.0ms | z |
| 8.0ms | y |
| 8.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 39.3b | 1 | x |
| 39.3b | 1 | y |
| 39.3b | 1 | z |
Compiled 21 to 13 computations (38.1% saved)
| 1× | egg-herbie |
| 10× | *-commutative_binary64 |
| 8× | +-commutative_binary64 |
| 8× | sub-neg_binary64 |
| 6× | cancel-sign-sub-inv_binary64 |
| 5× | neg-sub0_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 56 | 312 |
| 1 | 81 | 312 |
| 2 | 100 | 312 |
| 3 | 108 | 312 |
| 4 | 112 | 312 |
| 5 | 113 | 312 |
| 1× | fuel |
| 1× | saturated |
| Inputs |
|---|
(fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y))) |
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(if (<=.f64 x -8521974137063873/9444732965739290427392) (*.f64 (cos.f64 y) x) (if (<=.f64 x 989652259787277160986706970304187465728) (fma.f64 (sin.f64 y) (neg.f64 z) x) (*.f64 (cos.f64 y) x))) |
(if (<=.f64 x -8521974137063873/9444732965739290427392) (*.f64 (cos.f64 y) x) (if (<=.f64 x 989652259787277160986706970304187465728) (-.f64 x (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))) |
(if (<=.f64 y -35842381778848334593084748317289868123110239032669650138840725378990983062634340124981423310228040868589118044311014950325833100614034335279866623975204394786899511318531148679529007761295531794970904476296049510523744555132499078257616172479945962347410118319772110582206334763008) (*.f64 (cos.f64 y) x) (if (<=.f64 y -7731234330797390218459609206827994840741265724685444951773957676317046720286916913926377078902197716610308268486969771806984420191009229451277907086238106523464731719125073814660069823715934527296640503825882415104) (*.f64 (sin.f64 y) (neg.f64 z)) (if (<=.f64 y -16551753127859232648373331454702849988017578769505670130453150669975857257508069702555482865846186819758165656356366190825881307899974270540330659143572912015832896776043317328714305372160) (*.f64 (cos.f64 y) x) (if (<=.f64 y -756839276491200494687580260184881766139205208693981277258710704126750127410494046208) (*.f64 (sin.f64 y) (neg.f64 z)) (if (<=.f64 y -70772617443306680/4294967296) (*.f64 (cos.f64 y) x) (if (<=.f64 y 1630534956328320000/18446744073709551616) (fma.f64 (neg.f64 y) z x) (*.f64 (cos.f64 y) x))))))) |
(if (<=.f64 y -35842381778848334593084748317289868123110239032669650138840725378990983062634340124981423310228040868589118044311014950325833100614034335279866623975204394786899511318531148679529007761295531794970904476296049510523744555132499078257616172479945962347410118319772110582206334763008) (*.f64 (cos.f64 y) x) (if (<=.f64 y -7731234330797390218459609206827994840741265724685444951773957676317046720286916913926377078902197716610308268486969771806984420191009229451277907086238106523464731719125073814660069823715934527296640503825882415104) (*.f64 (sin.f64 y) (neg.f64 z)) (if (<=.f64 y -16551753127859232648373331454702849988017578769505670130453150669975857257508069702555482865846186819758165656356366190825881307899974270540330659143572912015832896776043317328714305372160) (*.f64 (cos.f64 y) x) (if (<=.f64 y -756839276491200494687580260184881766139205208693981277258710704126750127410494046208) (*.f64 (sin.f64 y) (neg.f64 z)) (if (<=.f64 y -70772617443306680/4294967296) (*.f64 (cos.f64 y) x) (if (<=.f64 y 1630534956328320000/18446744073709551616) (-.f64 x (*.f64 z y)) (*.f64 (cos.f64 y) x))))))) |
(if (<=.f64 y -70772617443306680/4294967296) (*.f64 (cos.f64 y) x) (if (<=.f64 y 1630534956328320000/18446744073709551616) (-.f64 x (*.f64 z y)) (*.f64 (cos.f64 y) x))) |
(-.f64 x (*.f64 z y)) |
(if (<=.f64 z 2508433012720322619641291703922526153590568359016115180449464057856) x (*.f64 y (neg.f64 z))) |
x |
| Outputs |
|---|
(fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y))) |
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z)) |
(if (<=.f64 x -8521974137063873/9444732965739290427392) (*.f64 (cos.f64 y) x) (if (<=.f64 x 989652259787277160986706970304187465728) (fma.f64 (sin.f64 y) (neg.f64 z) x) (*.f64 (cos.f64 y) x))) |
(if (<=.f64 x -8521974137063873/9444732965739290427392) (*.f64 x (cos.f64 y)) (if (<=.f64 x 989652259787277160986706970304187465728) (fma.f64 (sin.f64 y) (neg.f64 z) x) (*.f64 x (cos.f64 y)))) |
(if (<=.f64 x -8521974137063873/9444732965739290427392) (*.f64 (cos.f64 y) x) (if (<=.f64 x 989652259787277160986706970304187465728) (-.f64 x (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))) |
(if (<=.f64 x -8521974137063873/9444732965739290427392) (*.f64 x (cos.f64 y)) (if (<=.f64 x 989652259787277160986706970304187465728) (-.f64 x (*.f64 (sin.f64 y) z)) (*.f64 x (cos.f64 y)))) |
(if (<=.f64 y -35842381778848334593084748317289868123110239032669650138840725378990983062634340124981423310228040868589118044311014950325833100614034335279866623975204394786899511318531148679529007761295531794970904476296049510523744555132499078257616172479945962347410118319772110582206334763008) (*.f64 (cos.f64 y) x) (if (<=.f64 y -7731234330797390218459609206827994840741265724685444951773957676317046720286916913926377078902197716610308268486969771806984420191009229451277907086238106523464731719125073814660069823715934527296640503825882415104) (*.f64 (sin.f64 y) (neg.f64 z)) (if (<=.f64 y -16551753127859232648373331454702849988017578769505670130453150669975857257508069702555482865846186819758165656356366190825881307899974270540330659143572912015832896776043317328714305372160) (*.f64 (cos.f64 y) x) (if (<=.f64 y -756839276491200494687580260184881766139205208693981277258710704126750127410494046208) (*.f64 (sin.f64 y) (neg.f64 z)) (if (<=.f64 y -70772617443306680/4294967296) (*.f64 (cos.f64 y) x) (if (<=.f64 y 1630534956328320000/18446744073709551616) (fma.f64 (neg.f64 y) z x) (*.f64 (cos.f64 y) x))))))) |
(if (<=.f64 y -35842381778848334593084748317289868123110239032669650138840725378990983062634340124981423310228040868589118044311014950325833100614034335279866623975204394786899511318531148679529007761295531794970904476296049510523744555132499078257616172479945962347410118319772110582206334763008) (*.f64 x (cos.f64 y)) (if (<=.f64 y -7731234330797390218459609206827994840741265724685444951773957676317046720286916913926377078902197716610308268486969771806984420191009229451277907086238106523464731719125073814660069823715934527296640503825882415104) (*.f64 (sin.f64 y) (neg.f64 z)) (if (<=.f64 y -16551753127859232648373331454702849988017578769505670130453150669975857257508069702555482865846186819758165656356366190825881307899974270540330659143572912015832896776043317328714305372160) (*.f64 x (cos.f64 y)) (if (<=.f64 y -756839276491200494687580260184881766139205208693981277258710704126750127410494046208) (*.f64 (sin.f64 y) (neg.f64 z)) (if (<=.f64 y -8846577180413335/536870912) (*.f64 x (cos.f64 y)) (if (<=.f64 y 1592319293289375/18014398509481984) (fma.f64 (neg.f64 y) z x) (*.f64 x (cos.f64 y)))))))) |
(if (<=.f64 y -35842381778848334593084748317289868123110239032669650138840725378990983062634340124981423310228040868589118044311014950325833100614034335279866623975204394786899511318531148679529007761295531794970904476296049510523744555132499078257616172479945962347410118319772110582206334763008) (*.f64 (cos.f64 y) x) (if (<=.f64 y -7731234330797390218459609206827994840741265724685444951773957676317046720286916913926377078902197716610308268486969771806984420191009229451277907086238106523464731719125073814660069823715934527296640503825882415104) (*.f64 (sin.f64 y) (neg.f64 z)) (if (<=.f64 y -16551753127859232648373331454702849988017578769505670130453150669975857257508069702555482865846186819758165656356366190825881307899974270540330659143572912015832896776043317328714305372160) (*.f64 (cos.f64 y) x) (if (<=.f64 y -756839276491200494687580260184881766139205208693981277258710704126750127410494046208) (*.f64 (sin.f64 y) (neg.f64 z)) (if (<=.f64 y -70772617443306680/4294967296) (*.f64 (cos.f64 y) x) (if (<=.f64 y 1630534956328320000/18446744073709551616) (-.f64 x (*.f64 z y)) (*.f64 (cos.f64 y) x))))))) |
(if (<=.f64 y -35842381778848334593084748317289868123110239032669650138840725378990983062634340124981423310228040868589118044311014950325833100614034335279866623975204394786899511318531148679529007761295531794970904476296049510523744555132499078257616172479945962347410118319772110582206334763008) (*.f64 x (cos.f64 y)) (if (<=.f64 y -7731234330797390218459609206827994840741265724685444951773957676317046720286916913926377078902197716610308268486969771806984420191009229451277907086238106523464731719125073814660069823715934527296640503825882415104) (*.f64 (sin.f64 y) (neg.f64 z)) (if (<=.f64 y -16551753127859232648373331454702849988017578769505670130453150669975857257508069702555482865846186819758165656356366190825881307899974270540330659143572912015832896776043317328714305372160) (*.f64 x (cos.f64 y)) (if (<=.f64 y -756839276491200494687580260184881766139205208693981277258710704126750127410494046208) (*.f64 (sin.f64 y) (neg.f64 z)) (if (<=.f64 y -8846577180413335/536870912) (*.f64 x (cos.f64 y)) (if (<=.f64 y 1592319293289375/18014398509481984) (-.f64 x (*.f64 y z)) (*.f64 x (cos.f64 y)))))))) |
(if (<=.f64 y -70772617443306680/4294967296) (*.f64 (cos.f64 y) x) (if (<=.f64 y 1630534956328320000/18446744073709551616) (-.f64 x (*.f64 z y)) (*.f64 (cos.f64 y) x))) |
(if (<=.f64 y -8846577180413335/536870912) (*.f64 x (cos.f64 y)) (if (<=.f64 y 1592319293289375/18014398509481984) (-.f64 x (*.f64 y z)) (*.f64 x (cos.f64 y)))) |
(-.f64 x (*.f64 z y)) |
(-.f64 x (*.f64 y z)) |
(if (<=.f64 z 2508433012720322619641291703922526153590568359016115180449464057856) x (*.f64 y (neg.f64 z))) |
x |
Compiled 238 to 129 computations (45.8% saved)
Compiled 211 to 75 computations (64.5% saved)
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