Time bar (total: 4.2s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 2 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 3 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 4 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 5 |
| 12.5% | 9.4% | 65.5% | 0.1% | 0% | 25% | 0% | 6 |
| 18.8% | 14% | 60.8% | 0.1% | 0% | 25% | 0% | 7 |
| 20% | 14% | 56.2% | 0.1% | 4.7% | 25% | 0% | 8 |
| 27.7% | 14% | 36.7% | 0.1% | 11.7% | 37.4% | 0% | 9 |
| 32.8% | 14.8% | 30.4% | 0.1% | 17.2% | 37.4% | 0% | 10 |
| 35.4% | 15.5% | 28.3% | 0.1% | 18.6% | 37.4% | 0% | 11 |
| 47.3% | 16.4% | 18.3% | 0.1% | 21.4% | 43.7% | 0% | 12 |
Compiled 13 to 9 computations (30.8% saved)
| 1.4s | 8256× | body | 256 | valid |
| 396.0ms | 3035× | body | 256 | infinite |
| 296.0ms | 2356× | body | 256 | invalid |
| 2× | egg-herbie |
| 1636× | unswap-sqr |
| 1082× | associate-*r* |
| 924× | associate-/r/ |
| 808× | times-frac |
| 788× | associate-*l* |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 24 | 108 |
| 1 | 57 | 92 |
| 2 | 140 | 92 |
| 3 | 286 | 92 |
| 4 | 567 | 92 |
| 5 | 1288 | 92 |
| 6 | 5585 | 92 |
| 0 | 3 | 3 |
| 1× | saturated |
| 1× | node limit |
| Inputs |
|---|
0 |
1 |
2 |
| Outputs |
|---|
0 |
1 |
2 |
| Inputs |
|---|
(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)) |
(exp.f64 (-.f64 (+.f64 y (*.f64 x (log.f64 x))) z)) |
(exp.f64 (-.f64 (+.f64 z (*.f64 y (log.f64 y))) x)) |
(exp.f64 (-.f64 (+.f64 x (*.f64 z (log.f64 z))) y)) |
| Outputs |
|---|
(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)) |
(exp.f64 (+.f64 x (-.f64 (*.f64 y (log.f64 y)) z))) |
(exp.f64 (-.f64 (fma.f64 y (log.f64 y) x) z)) |
(*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z))) |
(/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x))) |
(exp.f64 (-.f64 (+.f64 y (*.f64 x (log.f64 x))) z)) |
(exp.f64 (+.f64 y (-.f64 (*.f64 x (log.f64 x)) z))) |
(exp.f64 (-.f64 (fma.f64 x (log.f64 x) y) z)) |
(*.f64 (pow.f64 x x) (exp.f64 (-.f64 y z))) |
(exp.f64 (-.f64 (+.f64 z (*.f64 y (log.f64 y))) x)) |
(exp.f64 (-.f64 (+.f64 (*.f64 y (log.f64 y)) z) x)) |
(exp.f64 (-.f64 (fma.f64 y (log.f64 y) z) x)) |
(*.f64 (pow.f64 y y) (exp.f64 (-.f64 z x))) |
(exp.f64 (-.f64 (+.f64 x (*.f64 z (log.f64 z))) y)) |
(exp.f64 (+.f64 x (-.f64 (*.f64 z (log.f64 z)) y))) |
(exp.f64 (-.f64 (fma.f64 z (log.f64 z) x) y)) |
(*.f64 (pow.f64 z z) (exp.f64 (-.f64 x y))) |
(/.f64 (pow.f64 z z) (exp.f64 (-.f64 y x))) |
Compiled 15 to 11 computations (26.7% saved)
| 1× | egg-herbie |
| 1060× | associate-*r/ |
| 920× | associate-/l/ |
| 850× | associate-/r/ |
| 716× | unswap-sqr |
| 614× | associate-*l/ |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 27 |
| 1 | 20 | 23 |
| 2 | 45 | 23 |
| 3 | 88 | 23 |
| 4 | 166 | 23 |
| 5 | 327 | 23 |
| 6 | 1059 | 23 |
| 7 | 2513 | 23 |
| 8 | 5596 | 23 |
| 9 | 6725 | 23 |
| 1× | node limit |
| Inputs |
|---|
(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)) |
| Outputs |
|---|
(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)) |
(exp.f64 (+.f64 x (-.f64 (*.f64 y (log.f64 y)) z))) |
(exp.f64 (-.f64 (fma.f64 y (log.f64 y) x) z)) |
(*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z))) |
Compiled 37 to 18 computations (51.4% saved)
3 alts after pruning (3 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 2 | 2 | 4 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 0 | 0 |
| Total | 2 | 3 | 5 |
| Status | Error | Program |
|---|---|---|
| ▶ | 13.8b | (*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z))) |
| ▶ | 0.0b | (exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)) |
Compiled 23 to 15 computations (34.8% saved)
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 x (*.f64 y (log.f64 y))) |
| ✓ | 0.0b | (exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)) |
| ✓ | 0.3b | (*.f64 y (log.f64 y)) |
Compiled 35 to 8 computations (77.1% saved)
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 26.0ms | y | @ | 0 | (*.f64 y (log.f64 y)) |
| 14.0ms | y | @ | -inf | (*.f64 y (log.f64 y)) |
| 8.0ms | y | @ | inf | (*.f64 y (log.f64 y)) |
| 4.0ms | x | @ | 0 | (exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)) |
| 2.0ms | x | @ | 0 | (+.f64 x (*.f64 y (log.f64 y))) |
| 1× | batch-egg-rewrite |
| 1172× | distribute-lft-in |
| 1158× | associate-*r/ |
| 1046× | associate-*l/ |
| 428× | associate-+l+ |
| 264× | +-commutative |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 55 |
| 1 | 233 | 47 |
| 2 | 3230 | 47 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 y (log.f64 y)) |
(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)) |
(+.f64 x (*.f64 y (log.f64 y))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y 0) (*.f64 y (log.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y (log.f64 (sqrt.f64 y))) (*.f64 y (log.f64 (sqrt.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y (log.f64 (cbrt.f64 (*.f64 y y)))) (*.f64 y (log.f64 (cbrt.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 y (log.f64 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y (log.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 y (log.f64 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 y (log.f64 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 y (log.f64 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 y (log.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (-.f64 (pow.f64 y y) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 y (log.f64 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 y (log.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 y (log.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 y (log.f64 y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (pow.f64 y y) 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (exp.f64 (-.f64 (fma.f64 y (log.f64 y) x) z)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 (-.f64 (fma.f64 y (log.f64 y) x) z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (exp.f64 (-.f64 (fma.f64 y (log.f64 y) x) z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (exp.f64 (-.f64 (fma.f64 y (log.f64 y) x) z))) (sqrt.f64 (exp.f64 (-.f64 (fma.f64 y (log.f64 y) x) z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (exp.f64 (-.f64 (fma.f64 y (log.f64 y) x) z))) (pow.f64 (cbrt.f64 (exp.f64 (-.f64 (fma.f64 y (log.f64 y) x) z))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 (fma.f64 y (log.f64 y) x) z))) 2) (cbrt.f64 (exp.f64 (-.f64 (fma.f64 y (log.f64 y) x) z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 y y) (exp.f64 x)) (exp.f64 (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 y y) (exp.f64 x)) (/.f64 1 (exp.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 x) (exp.f64 (-.f64 (*.f64 y (log.f64 y)) z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (exp.f64 z)) (*.f64 (pow.f64 y y) (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (/.f64 (exp.f64 z) (pow.f64 y y)) (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 y y) (exp.f64 x)) (exp.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 y y) (/.f64 (exp.f64 z) (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (exp.f64 x) (/.f64 (exp.f64 z) (pow.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (*.f64 (pow.f64 y y) (exp.f64 x))) (/.f64 (exp.f64 z) (sqrt.f64 (*.f64 (pow.f64 y y) (exp.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (*.f64 (pow.f64 y y) (exp.f64 x))) (cbrt.f64 (*.f64 (pow.f64 y y) (exp.f64 x)))) (/.f64 (exp.f64 z) (cbrt.f64 (*.f64 (pow.f64 y y) (exp.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (pow.f64 y y) (exp.f64 x))) (neg.f64 (exp.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (pow.f64 y y) (exp.f64 x)) 1) (exp.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (neg.f64 (*.f64 (pow.f64 y y) (exp.f64 x)))) (neg.f64 (exp.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (exp.f64 (-.f64 (fma.f64 y (log.f64 y) x) z))) (sqrt.f64 (*.f64 (pow.f64 y y) (exp.f64 x)))) (sqrt.f64 (exp.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 (fma.f64 y (log.f64 y) x) z))) 2) (cbrt.f64 (*.f64 (pow.f64 y y) (exp.f64 x)))) (cbrt.f64 (exp.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (*.f64 (pow.f64 y y) (exp.f64 x))) 1) (neg.f64 (exp.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (*.f64 (pow.f64 y y) (exp.f64 x))) (sqrt.f64 (exp.f64 (-.f64 (fma.f64 y (log.f64 y) x) z)))) (sqrt.f64 (exp.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (*.f64 (pow.f64 y y) (exp.f64 x))) (pow.f64 (cbrt.f64 (exp.f64 (-.f64 (fma.f64 y (log.f64 y) x) z))) 2)) (cbrt.f64 (exp.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (pow.f64 y y) (exp.f64 x)) 1) (exp.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (pow.f64 y y) (exp.f64 x)) (sqrt.f64 (exp.f64 z))) (sqrt.f64 (exp.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (pow.f64 y y) (exp.f64 x)) (*.f64 (cbrt.f64 (exp.f64 z)) (cbrt.f64 (exp.f64 z)))) (cbrt.f64 (exp.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (-.f64 (fma.f64 y (log.f64 y) x) z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (exp.f64 (-.f64 (fma.f64 y (log.f64 y) x) z))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (exp.f64 (-.f64 (fma.f64 y (log.f64 y) x) z))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (-.f64 (fma.f64 y (log.f64 y) x) z)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (-.f64 (fma.f64 y (log.f64 y) x) z))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (-.f64 (fma.f64 y (log.f64 y) x) z))) (sqrt.f64 (-.f64 (fma.f64 y (log.f64 y) x) z)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 (fma.f64 y (log.f64 y) x) z)) 2)) (cbrt.f64 (-.f64 (fma.f64 y (log.f64 y) x) z)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (exp.f64 (-.f64 (fma.f64 y (log.f64 y) x) z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (exp.f64 (-.f64 (fma.f64 y (log.f64 y) x) z))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (exp.f64 (-.f64 (fma.f64 y (log.f64 y) x) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (exp.f64 (-.f64 (fma.f64 y (log.f64 y) x) z)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (exp.f64 (-.f64 (fma.f64 y (log.f64 y) x) z))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (exp.f64 (-.f64 (fma.f64 y (log.f64 y) x) z)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 y (log.f64 y)))) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 y (log.f64 y) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 x)) (-.f64 1 (*.f64 y (log.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 x (/.f64 (-.f64 x (*.f64 y (log.f64 y))) x)) (/.f64 (pow.f64 (*.f64 y (log.f64 y)) 2) (-.f64 x (*.f64 y (log.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 y (log.f64 y)) (exp.f64 (log1p.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 x (exp.f64 (log1p.f64 (*.f64 y (log.f64 y))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 y (log.f64 y) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 y (log.f64 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 y (log.f64 y) x)) (sqrt.f64 (fma.f64 y (log.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 y (log.f64 y) x)) (pow.f64 (cbrt.f64 (fma.f64 y (log.f64 y) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 y (log.f64 y) x)) 2) (cbrt.f64 (fma.f64 y (log.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 y (log.f64 y)) 2)) (/.f64 1 (-.f64 x (*.f64 y (log.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 y (log.f64 y)) 3)) (/.f64 1 (fma.f64 x x (*.f64 (*.f64 y (log.f64 y)) (-.f64 (*.f64 y (log.f64 y)) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 x (*.f64 y (log.f64 y)))) (-.f64 (*.f64 x x) (pow.f64 (*.f64 y (log.f64 y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 x x (*.f64 (*.f64 y (log.f64 y)) (-.f64 (*.f64 y (log.f64 y)) x)))) (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 y (log.f64 y)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 (*.f64 x 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| 1× | egg-herbie |
| 1190× | associate-/r/ |
| 736× | +-commutative |
| 724× | associate-+r+ |
| 686× | associate-*r* |
| 652× | associate-+l+ |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 417 | 7750 |
| 1 | 1155 | 7466 |
| 2 | 5479 | 7330 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -1 (*.f64 y (log.f64 (/.f64 1 y)))) |
(*.f64 -1 (*.f64 y (log.f64 (/.f64 1 y)))) |
(*.f64 -1 (*.f64 y (log.f64 (/.f64 1 y)))) |
(*.f64 -1 (*.f64 y (log.f64 (/.f64 1 y)))) |
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) y) |
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) y) |
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) y) |
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) y) |
(exp.f64 (-.f64 (*.f64 y (log.f64 y)) z)) |
(+.f64 (*.f64 (exp.f64 (-.f64 (*.f64 y (log.f64 y)) z)) x) (exp.f64 (-.f64 (*.f64 y (log.f64 y)) z))) |
(+.f64 (*.f64 1/2 (*.f64 (exp.f64 (-.f64 (*.f64 y (log.f64 y)) z)) (pow.f64 x 2))) (+.f64 (*.f64 (exp.f64 (-.f64 (*.f64 y (log.f64 y)) z)) x) (exp.f64 (-.f64 (*.f64 y (log.f64 y)) z)))) |
(+.f64 (*.f64 1/2 (*.f64 (exp.f64 (-.f64 (*.f64 y (log.f64 y)) z)) (pow.f64 x 2))) (+.f64 (*.f64 (exp.f64 (-.f64 (*.f64 y (log.f64 y)) z)) x) (+.f64 (exp.f64 (-.f64 (*.f64 y (log.f64 y)) z)) (*.f64 1/6 (*.f64 (exp.f64 (-.f64 (*.f64 y (log.f64 y)) z)) (pow.f64 x 3)))))) |
(exp.f64 (-.f64 (+.f64 (*.f64 y (log.f64 y)) x) z)) |
(exp.f64 (-.f64 (+.f64 (*.f64 y (log.f64 y)) x) z)) |
(exp.f64 (-.f64 (+.f64 (*.f64 y (log.f64 y)) x) z)) |
(exp.f64 (-.f64 (+.f64 (*.f64 y (log.f64 y)) x) z)) |
(exp.f64 (-.f64 (*.f64 y (log.f64 y)) (+.f64 (*.f64 -1 x) z))) |
(exp.f64 (-.f64 (*.f64 y (log.f64 y)) (+.f64 (*.f64 -1 x) z))) |
(exp.f64 (-.f64 (*.f64 y (log.f64 y)) (+.f64 (*.f64 -1 x) z))) |
(exp.f64 (-.f64 (*.f64 y (log.f64 y)) (+.f64 (*.f64 -1 x) z))) |
(exp.f64 (-.f64 x z)) |
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(/.f64 (*.f64 (sqrt.f64 (fma.f64 y (log.f64 y) x)) (sqrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 y (log.f64 y)) 3)))) (sqrt.f64 (fma.f64 x x (*.f64 (*.f64 y (log.f64 y)) (-.f64 (*.f64 y (log.f64 y)) x))))) |
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 y (log.f64 y) x)) 2) (cbrt.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 y (log.f64 y)) 2)))) (cbrt.f64 (-.f64 x (*.f64 y (log.f64 y))))) |
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 y (log.f64 y) x)) 2) (cbrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 y (log.f64 y)) 3)))) (cbrt.f64 (fma.f64 x x (*.f64 (*.f64 y (log.f64 y)) (-.f64 (*.f64 y (log.f64 y)) x))))) |
(/.f64 (*.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 y (log.f64 y)) 2)) 1) (-.f64 x (*.f64 y (log.f64 y)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 y (log.f64 y)) 2) (*.f64 x x)) 1) (-.f64 (*.f64 y (log.f64 y)) x)) |
(/.f64 (*.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 y (log.f64 y)) 2))) 1) (neg.f64 (-.f64 x (*.f64 y (log.f64 y))))) |
(/.f64 (*.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 y (log.f64 y)) 3))) 1) (neg.f64 (fma.f64 x x (*.f64 (*.f64 y (log.f64 y)) (-.f64 (*.f64 y (log.f64 y)) x))))) |
(/.f64 (*.f64 (sqrt.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 y (log.f64 y)) 2))) (sqrt.f64 (fma.f64 y (log.f64 y) x))) (sqrt.f64 (-.f64 x (*.f64 y (log.f64 y))))) |
(/.f64 (*.f64 (sqrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 y (log.f64 y)) 3))) (sqrt.f64 (fma.f64 y (log.f64 y) x))) (sqrt.f64 (fma.f64 x x (*.f64 (*.f64 y (log.f64 y)) (-.f64 (*.f64 y (log.f64 y)) x))))) |
(/.f64 (*.f64 (cbrt.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 y (log.f64 y)) 2))) (pow.f64 (cbrt.f64 (fma.f64 y (log.f64 y) x)) 2)) (cbrt.f64 (-.f64 x (*.f64 y (log.f64 y))))) |
(/.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 y (log.f64 y)) 3))) (pow.f64 (cbrt.f64 (fma.f64 y (log.f64 y) x)) 2)) (cbrt.f64 (fma.f64 x x (*.f64 (*.f64 y (log.f64 y)) (-.f64 (*.f64 y (log.f64 y)) x))))) |
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (pow.f64 (*.f64 y (log.f64 y)) 2) (pow.f64 (*.f64 y (log.f64 y)) 2))) (/.f64 1 (-.f64 x (*.f64 y (log.f64 y))))) (+.f64 (pow.f64 (*.f64 y (log.f64 y)) 2) (*.f64 x x))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (pow.f64 (*.f64 y (log.f64 y)) 2) 3)) (/.f64 1 (-.f64 x (*.f64 y (log.f64 y))))) (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 (*.f64 (pow.f64 (*.f64 y (log.f64 y)) 2) (pow.f64 (*.f64 y (log.f64 y)) 2)) (*.f64 (*.f64 x x) (pow.f64 (*.f64 y (log.f64 y)) 2))))) |
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 x 3) (pow.f64 x 3)) (*.f64 (pow.f64 (*.f64 y (log.f64 y)) 3) (pow.f64 (*.f64 y (log.f64 y)) 3))) (/.f64 1 (fma.f64 x x (*.f64 (*.f64 y (log.f64 y)) (-.f64 (*.f64 y (log.f64 y)) x))))) (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 y (log.f64 y)) 3))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (pow.f64 x 3) 3) (pow.f64 (pow.f64 (*.f64 y (log.f64 y)) 3) 3)) (/.f64 1 (fma.f64 x x (*.f64 (*.f64 y (log.f64 y)) (-.f64 (*.f64 y (log.f64 y)) x))))) (+.f64 (*.f64 (pow.f64 x 3) (pow.f64 x 3)) (-.f64 (*.f64 (pow.f64 (*.f64 y (log.f64 y)) 3) (pow.f64 (*.f64 y (log.f64 y)) 3)) (*.f64 (pow.f64 x 3) (pow.f64 (*.f64 y (log.f64 y)) 3))))) |
(/.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 y (log.f64 y)) 2)) 1) (-.f64 x (*.f64 y (log.f64 y)))) |
(/.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 y (log.f64 y)) 2)) (sqrt.f64 (-.f64 x (*.f64 y (log.f64 y))))) (sqrt.f64 (-.f64 x (*.f64 y (log.f64 y))))) |
(/.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 y (log.f64 y)) 2)) (*.f64 (cbrt.f64 (-.f64 x (*.f64 y (log.f64 y)))) (cbrt.f64 (-.f64 x (*.f64 y (log.f64 y)))))) (cbrt.f64 (-.f64 x (*.f64 y (log.f64 y))))) |
(/.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 y (log.f64 y)) 2)) (+.f64 (sqrt.f64 (*.f64 y (log.f64 y))) (sqrt.f64 x))) (-.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 y (log.f64 y))))) |
(/.f64 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 y (log.f64 y)) 3)) 1) (fma.f64 x x (*.f64 (*.f64 y (log.f64 y)) (-.f64 (*.f64 y (log.f64 y)) x)))) |
(/.f64 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 y (log.f64 y)) 3)) (sqrt.f64 (fma.f64 x x (*.f64 (*.f64 y (log.f64 y)) (-.f64 (*.f64 y (log.f64 y)) x))))) (sqrt.f64 (fma.f64 x x (*.f64 (*.f64 y (log.f64 y)) (-.f64 (*.f64 y (log.f64 y)) x))))) |
(/.f64 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 y (log.f64 y)) 3)) (*.f64 (cbrt.f64 (fma.f64 x x (*.f64 (*.f64 y (log.f64 y)) (-.f64 (*.f64 y (log.f64 y)) x)))) (cbrt.f64 (fma.f64 x x (*.f64 (*.f64 y (log.f64 y)) (-.f64 (*.f64 y (log.f64 y)) x)))))) (cbrt.f64 (fma.f64 x x (*.f64 (*.f64 y (log.f64 y)) (-.f64 (*.f64 y (log.f64 y)) x))))) |
(pow.f64 (fma.f64 y (log.f64 y) x) 1) |
(pow.f64 (sqrt.f64 (fma.f64 y (log.f64 y) x)) 2) |
(pow.f64 (cbrt.f64 (fma.f64 y (log.f64 y) x)) 3) |
(pow.f64 (pow.f64 (fma.f64 y (log.f64 y) x) 3) 1/3) |
(sqrt.f64 (pow.f64 (fma.f64 y (log.f64 y) x) 2)) |
(log.f64 (*.f64 (pow.f64 y y) (exp.f64 x))) |
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 y (log.f64 y) x)))) |
(cbrt.f64 (pow.f64 (fma.f64 y (log.f64 y) x) 3)) |
(expm1.f64 (log1p.f64 (fma.f64 y (log.f64 y) x))) |
(exp.f64 (log.f64 (fma.f64 y (log.f64 y) x))) |
(exp.f64 (*.f64 (log.f64 (fma.f64 y (log.f64 y) x)) 1)) |
(log1p.f64 (expm1.f64 (fma.f64 y (log.f64 y) x))) |
(fma.f64 y (log.f64 y) x) |
(fma.f64 (log.f64 y) y x) |
(fma.f64 1 (*.f64 y (log.f64 y)) x) |
(fma.f64 1 x (*.f64 y (log.f64 y))) |
(fma.f64 (sqrt.f64 (*.f64 y (log.f64 y))) (sqrt.f64 (*.f64 y (log.f64 y))) x) |
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 y (log.f64 y))) |
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 y (log.f64 y))) 2) (cbrt.f64 (*.f64 y (log.f64 y))) x) |
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 y (log.f64 y))) |
| Outputs |
|---|
(*.f64 -1 (*.f64 y (log.f64 (/.f64 1 y)))) |
(neg.f64 (*.f64 y (neg.f64 (log.f64 y)))) |
(*.f64 y (neg.f64 (neg.f64 (log.f64 y)))) |
(*.f64 y (log.f64 y)) |
(*.f64 -1 (*.f64 y (log.f64 (/.f64 1 y)))) |
(neg.f64 (*.f64 y (neg.f64 (log.f64 y)))) |
(*.f64 y (neg.f64 (neg.f64 (log.f64 y)))) |
(*.f64 y (log.f64 y)) |
(*.f64 -1 (*.f64 y (log.f64 (/.f64 1 y)))) |
(neg.f64 (*.f64 y (neg.f64 (log.f64 y)))) |
(*.f64 y (neg.f64 (neg.f64 (log.f64 y)))) |
(*.f64 y (log.f64 y)) |
(*.f64 -1 (*.f64 y (log.f64 (/.f64 1 y)))) |
(neg.f64 (*.f64 y (neg.f64 (log.f64 y)))) |
(*.f64 y (neg.f64 (neg.f64 (log.f64 y)))) |
(*.f64 y (log.f64 y)) |
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) y) |
(*.f64 y (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 -1))) |
(*.f64 y (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y)))) |
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) y) |
(*.f64 y (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 -1))) |
(*.f64 y (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y)))) |
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) y) |
(*.f64 y (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 -1))) |
(*.f64 y (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y)))) |
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) y) |
(*.f64 y (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 -1))) |
(*.f64 y (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y)))) |
(exp.f64 (-.f64 (*.f64 y (log.f64 y)) z)) |
(/.f64 (pow.f64 y y) (exp.f64 z)) |
(+.f64 (*.f64 (exp.f64 (-.f64 (*.f64 y (log.f64 y)) z)) x) (exp.f64 (-.f64 (*.f64 y (log.f64 y)) z))) |
(fma.f64 (exp.f64 (-.f64 (*.f64 y (log.f64 y)) z)) x (exp.f64 (-.f64 (*.f64 y (log.f64 y)) z))) |
(*.f64 (+.f64 x 1) (/.f64 (pow.f64 y y) (exp.f64 z))) |
(*.f64 (+.f64 1 x) (/.f64 (pow.f64 y y) (exp.f64 z))) |
(+.f64 (*.f64 1/2 (*.f64 (exp.f64 (-.f64 (*.f64 y (log.f64 y)) z)) (pow.f64 x 2))) (+.f64 (*.f64 (exp.f64 (-.f64 (*.f64 y (log.f64 y)) z)) x) (exp.f64 (-.f64 (*.f64 y (log.f64 y)) z)))) |
(fma.f64 1/2 (*.f64 (exp.f64 (-.f64 (*.f64 y (log.f64 y)) z)) (*.f64 x x)) (fma.f64 (exp.f64 (-.f64 (*.f64 y (log.f64 y)) z)) x (exp.f64 (-.f64 (*.f64 y (log.f64 y)) z)))) |
(fma.f64 1/2 (/.f64 (*.f64 (pow.f64 y y) (*.f64 x x)) (exp.f64 z)) (*.f64 (+.f64 x 1) (/.f64 (pow.f64 y y) (exp.f64 z)))) |
(fma.f64 1/2 (/.f64 (*.f64 (pow.f64 y y) (*.f64 x x)) (exp.f64 z)) (*.f64 (+.f64 1 x) (/.f64 (pow.f64 y y) (exp.f64 z)))) |
(+.f64 (*.f64 1/2 (*.f64 (exp.f64 (-.f64 (*.f64 y (log.f64 y)) z)) (pow.f64 x 2))) (+.f64 (*.f64 (exp.f64 (-.f64 (*.f64 y (log.f64 y)) z)) x) (+.f64 (exp.f64 (-.f64 (*.f64 y (log.f64 y)) z)) (*.f64 1/6 (*.f64 (exp.f64 (-.f64 (*.f64 y (log.f64 y)) z)) (pow.f64 x 3)))))) |
(fma.f64 1/2 (*.f64 (exp.f64 (-.f64 (*.f64 y (log.f64 y)) z)) (*.f64 x x)) (+.f64 (fma.f64 (exp.f64 (-.f64 (*.f64 y (log.f64 y)) z)) x (exp.f64 (-.f64 (*.f64 y (log.f64 y)) z))) (*.f64 1/6 (*.f64 (exp.f64 (-.f64 (*.f64 y (log.f64 y)) z)) (pow.f64 x 3))))) |
(+.f64 (fma.f64 1/2 (/.f64 (*.f64 (pow.f64 y y) (*.f64 x x)) (exp.f64 z)) (*.f64 (+.f64 x 1) (/.f64 (pow.f64 y y) (exp.f64 z)))) (*.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) (*.f64 (pow.f64 x 3) 1/6))) |
(+.f64 (fma.f64 1/2 (/.f64 (*.f64 (pow.f64 y y) (*.f64 x x)) (exp.f64 z)) (*.f64 (+.f64 1 x) (/.f64 (pow.f64 y y) (exp.f64 z)))) (*.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) (*.f64 (pow.f64 x 3) 1/6))) |
(exp.f64 (-.f64 (+.f64 (*.f64 y (log.f64 y)) x) z)) |
(exp.f64 (-.f64 (fma.f64 y (log.f64 y) x) z)) |
(*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y)) |
(exp.f64 (-.f64 (+.f64 (*.f64 y (log.f64 y)) x) z)) |
(exp.f64 (-.f64 (fma.f64 y (log.f64 y) x) z)) |
(*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y)) |
(exp.f64 (-.f64 (+.f64 (*.f64 y (log.f64 y)) x) z)) |
(exp.f64 (-.f64 (fma.f64 y (log.f64 y) x) z)) |
(*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y)) |
(exp.f64 (-.f64 (+.f64 (*.f64 y (log.f64 y)) x) z)) |
(exp.f64 (-.f64 (fma.f64 y (log.f64 y) x) z)) |
(*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y)) |
(exp.f64 (-.f64 (*.f64 y (log.f64 y)) (+.f64 (*.f64 -1 x) z))) |
(exp.f64 (-.f64 (fma.f64 y (log.f64 y) x) z)) |
(*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y)) |
(exp.f64 (-.f64 (*.f64 y (log.f64 y)) (+.f64 (*.f64 -1 x) z))) |
(exp.f64 (-.f64 (fma.f64 y (log.f64 y) x) z)) |
(*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y)) |
(exp.f64 (-.f64 (*.f64 y (log.f64 y)) (+.f64 (*.f64 -1 x) z))) |
(exp.f64 (-.f64 (fma.f64 y (log.f64 y) x) z)) |
(*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y)) |
(exp.f64 (-.f64 (*.f64 y (log.f64 y)) (+.f64 (*.f64 -1 x) z))) |
(exp.f64 (-.f64 (fma.f64 y (log.f64 y) x) z)) |
(*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y)) |
(exp.f64 (-.f64 x z)) |
(+.f64 (*.f64 y (*.f64 (exp.f64 (-.f64 x z)) (log.f64 y))) (exp.f64 (-.f64 x z))) |
(fma.f64 y (*.f64 (log.f64 y) (exp.f64 (-.f64 x z))) (exp.f64 (-.f64 x z))) |
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 y 2) (*.f64 (exp.f64 (-.f64 x z)) (pow.f64 (log.f64 y) 2)))) (+.f64 (*.f64 y (*.f64 (exp.f64 (-.f64 x z)) (log.f64 y))) (exp.f64 (-.f64 x z)))) |
(fma.f64 1/2 (*.f64 (*.f64 (*.f64 y y) (exp.f64 (-.f64 x z))) (pow.f64 (log.f64 y) 2)) (fma.f64 y (*.f64 (log.f64 y) (exp.f64 (-.f64 x z))) (exp.f64 (-.f64 x z)))) |
(fma.f64 1/2 (*.f64 (exp.f64 (-.f64 x z)) (pow.f64 (*.f64 y (log.f64 y)) 2)) (fma.f64 y (*.f64 (log.f64 y) (exp.f64 (-.f64 x z))) (exp.f64 (-.f64 x z)))) |
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 y 2) (*.f64 (exp.f64 (-.f64 x z)) (pow.f64 (log.f64 y) 2)))) (+.f64 (*.f64 y (*.f64 (exp.f64 (-.f64 x z)) (log.f64 y))) (+.f64 (exp.f64 (-.f64 x z)) (*.f64 1/6 (*.f64 (pow.f64 y 3) (*.f64 (exp.f64 (-.f64 x z)) (pow.f64 (log.f64 y) 3))))))) |
(fma.f64 1/2 (*.f64 (*.f64 (*.f64 y y) (exp.f64 (-.f64 x z))) (pow.f64 (log.f64 y) 2)) (+.f64 (fma.f64 y (*.f64 (log.f64 y) (exp.f64 (-.f64 x z))) (exp.f64 (-.f64 x z))) (*.f64 (*.f64 1/6 (pow.f64 y 3)) (*.f64 (exp.f64 (-.f64 x z)) (pow.f64 (log.f64 y) 3))))) |
(fma.f64 1/2 (*.f64 (exp.f64 (-.f64 x z)) (pow.f64 (*.f64 y (log.f64 y)) 2)) (fma.f64 y (*.f64 (log.f64 y) (exp.f64 (-.f64 x z))) (fma.f64 1/6 (*.f64 (exp.f64 (-.f64 x z)) (pow.f64 (*.f64 y (log.f64 y)) 3)) (exp.f64 (-.f64 x z))))) |
(exp.f64 (-.f64 (+.f64 (*.f64 y (log.f64 y)) x) z)) |
(exp.f64 (-.f64 (fma.f64 y (log.f64 y) x) z)) |
(*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y)) |
(exp.f64 (-.f64 (+.f64 (*.f64 y (log.f64 y)) x) z)) |
(exp.f64 (-.f64 (fma.f64 y (log.f64 y) x) z)) |
(*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y)) |
(exp.f64 (-.f64 (+.f64 (*.f64 y (log.f64 y)) x) z)) |
(exp.f64 (-.f64 (fma.f64 y (log.f64 y) x) z)) |
(*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y)) |
(exp.f64 (-.f64 (+.f64 (*.f64 y (log.f64 y)) x) z)) |
(exp.f64 (-.f64 (fma.f64 y (log.f64 y) x) z)) |
(*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y)) |
(exp.f64 (-.f64 (+.f64 (*.f64 y (log.f64 y)) x) z)) |
(exp.f64 (-.f64 (fma.f64 y (log.f64 y) x) z)) |
(*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y)) |
(exp.f64 (-.f64 (+.f64 (*.f64 y (log.f64 y)) x) z)) |
(exp.f64 (-.f64 (fma.f64 y (log.f64 y) x) z)) |
(*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y)) |
(exp.f64 (-.f64 (+.f64 (*.f64 y (log.f64 y)) x) z)) |
(exp.f64 (-.f64 (fma.f64 y (log.f64 y) x) z)) |
(*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y)) |
(exp.f64 (-.f64 (+.f64 (*.f64 y (log.f64 y)) x) z)) |
(exp.f64 (-.f64 (fma.f64 y (log.f64 y) x) z)) |
(*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y)) |
(exp.f64 (+.f64 (*.f64 y (log.f64 y)) x)) |
(exp.f64 (fma.f64 y (log.f64 y) x)) |
(*.f64 (pow.f64 y y) (exp.f64 x)) |
(+.f64 (exp.f64 (+.f64 (*.f64 y (log.f64 y)) x)) (*.f64 -1 (*.f64 (exp.f64 (+.f64 (*.f64 y (log.f64 y)) x)) z))) |
(+.f64 (exp.f64 (fma.f64 y (log.f64 y) x)) (neg.f64 (*.f64 z (exp.f64 (fma.f64 y (log.f64 y) x))))) |
(-.f64 (*.f64 (pow.f64 y y) (exp.f64 x)) (*.f64 (pow.f64 y y) (*.f64 (exp.f64 x) z))) |
(+.f64 (exp.f64 (+.f64 (*.f64 y (log.f64 y)) x)) (+.f64 (*.f64 -1 (*.f64 (exp.f64 (+.f64 (*.f64 y (log.f64 y)) x)) z)) (*.f64 1/2 (*.f64 (exp.f64 (+.f64 (*.f64 y (log.f64 y)) x)) (pow.f64 z 2))))) |
(+.f64 (exp.f64 (fma.f64 y (log.f64 y) x)) (fma.f64 -1 (*.f64 z (exp.f64 (fma.f64 y (log.f64 y) x))) (*.f64 1/2 (*.f64 (exp.f64 (fma.f64 y (log.f64 y) x)) (*.f64 z z))))) |
(fma.f64 (pow.f64 y y) (exp.f64 x) (-.f64 (*.f64 1/2 (*.f64 (pow.f64 y y) (*.f64 (exp.f64 x) (*.f64 z z)))) (*.f64 (pow.f64 y y) (*.f64 (exp.f64 x) z)))) |
(+.f64 (*.f64 -1/6 (*.f64 (exp.f64 (+.f64 (*.f64 y (log.f64 y)) x)) (pow.f64 z 3))) (+.f64 (exp.f64 (+.f64 (*.f64 y (log.f64 y)) x)) (+.f64 (*.f64 -1 (*.f64 (exp.f64 (+.f64 (*.f64 y (log.f64 y)) x)) z)) (*.f64 1/2 (*.f64 (exp.f64 (+.f64 (*.f64 y (log.f64 y)) x)) (pow.f64 z 2)))))) |
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(/.f64 (*.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 y (log.f64 y)) 2)) 1) (-.f64 x (*.f64 y (log.f64 y)))) |
(fma.f64 y (log.f64 y) x) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 y (log.f64 y)) 2) (*.f64 x x)) 1) (-.f64 (*.f64 y (log.f64 y)) x)) |
(fma.f64 y (log.f64 y) x) |
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(fma.f64 y (log.f64 y) x) |
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(/.f64 (*.f64 (cbrt.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 y (log.f64 y)) 2))) (pow.f64 (cbrt.f64 (fma.f64 y (log.f64 y) x)) 2)) (cbrt.f64 (-.f64 x (*.f64 y (log.f64 y))))) |
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(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 y (log.f64 y) x)) 2) (cbrt.f64 (-.f64 x (*.f64 y (log.f64 y))))) (cbrt.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 y (log.f64 y)) 2)))) |
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(/.f64 (pow.f64 (cbrt.f64 (fma.f64 y (log.f64 y) x)) 2) (/.f64 (cbrt.f64 (fma.f64 x x (*.f64 (*.f64 y (log.f64 y)) (fma.f64 y (log.f64 y) (neg.f64 x))))) (cbrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 y (log.f64 y)) 3))))) |
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(*.f64 (/.f64 (fma.f64 x x (pow.f64 (*.f64 y (log.f64 y)) 2)) (fma.f64 x x (pow.f64 (*.f64 y (log.f64 y)) 2))) (fma.f64 y (log.f64 y) x)) |
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(/.f64 (/.f64 (-.f64 (pow.f64 x 6) (pow.f64 (pow.f64 (*.f64 y (log.f64 y)) 2) 3)) (-.f64 x (*.f64 y (log.f64 y)))) (+.f64 (*.f64 x (pow.f64 x 3)) (*.f64 (pow.f64 (*.f64 y (log.f64 y)) 2) (+.f64 (pow.f64 (*.f64 y (log.f64 y)) 2) (*.f64 x x))))) |
(/.f64 (/.f64 (-.f64 (pow.f64 x 6) (pow.f64 (*.f64 y (log.f64 y)) 6)) (-.f64 x (*.f64 y (log.f64 y)))) (fma.f64 (pow.f64 (*.f64 y (log.f64 y)) 2) (fma.f64 x x (pow.f64 (*.f64 y (log.f64 y)) 2)) (pow.f64 x 4))) |
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 x 3) (pow.f64 x 3)) (*.f64 (pow.f64 (*.f64 y (log.f64 y)) 3) (pow.f64 (*.f64 y (log.f64 y)) 3))) (/.f64 1 (fma.f64 x x (*.f64 (*.f64 y (log.f64 y)) (-.f64 (*.f64 y (log.f64 y)) x))))) (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 y (log.f64 y)) 3))) |
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(/.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 y (log.f64 y)) 2)) 1) (-.f64 x (*.f64 y (log.f64 y)))) |
(fma.f64 y (log.f64 y) x) |
(/.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 y (log.f64 y)) 2)) (sqrt.f64 (-.f64 x (*.f64 y (log.f64 y))))) (sqrt.f64 (-.f64 x (*.f64 y (log.f64 y))))) |
(fma.f64 y (log.f64 y) x) |
(/.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 y (log.f64 y)) 2)) (*.f64 (cbrt.f64 (-.f64 x (*.f64 y (log.f64 y)))) (cbrt.f64 (-.f64 x (*.f64 y (log.f64 y)))))) (cbrt.f64 (-.f64 x (*.f64 y (log.f64 y))))) |
(fma.f64 y (log.f64 y) x) |
(/.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 y (log.f64 y)) 2)) (+.f64 (sqrt.f64 (*.f64 y (log.f64 y))) (sqrt.f64 x))) (-.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 y (log.f64 y))))) |
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 y (log.f64 y)) 2)) (*.f64 (-.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 y (log.f64 y)))) (+.f64 (sqrt.f64 (*.f64 y (log.f64 y))) (sqrt.f64 x)))) |
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 y (log.f64 y)) 2)) (*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 y (log.f64 y)))) (-.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 y (log.f64 y)))))) |
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(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 y (log.f64 y)) 3)) (fma.f64 x x (*.f64 (*.f64 y (log.f64 y)) (fma.f64 y (log.f64 y) (neg.f64 x))))) |
(/.f64 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 y (log.f64 y)) 3)) (*.f64 (cbrt.f64 (fma.f64 x x (*.f64 (*.f64 y (log.f64 y)) (-.f64 (*.f64 y (log.f64 y)) x)))) (cbrt.f64 (fma.f64 x x (*.f64 (*.f64 y (log.f64 y)) (-.f64 (*.f64 y (log.f64 y)) x)))))) (cbrt.f64 (fma.f64 x x (*.f64 (*.f64 y (log.f64 y)) (-.f64 (*.f64 y (log.f64 y)) x))))) |
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 y (log.f64 y)) 3)) (fma.f64 x x (*.f64 (*.f64 y (log.f64 y)) (fma.f64 y (log.f64 y) (neg.f64 x))))) |
(pow.f64 (fma.f64 y (log.f64 y) x) 1) |
(fma.f64 y (log.f64 y) x) |
(pow.f64 (sqrt.f64 (fma.f64 y (log.f64 y) x)) 2) |
(fma.f64 y (log.f64 y) x) |
(pow.f64 (cbrt.f64 (fma.f64 y (log.f64 y) x)) 3) |
(fma.f64 y (log.f64 y) x) |
(pow.f64 (pow.f64 (fma.f64 y (log.f64 y) x) 3) 1/3) |
(fma.f64 y (log.f64 y) x) |
(sqrt.f64 (pow.f64 (fma.f64 y (log.f64 y) x) 2)) |
(fabs.f64 (fma.f64 y (log.f64 y) x)) |
(log.f64 (*.f64 (pow.f64 y y) (exp.f64 x))) |
(fma.f64 y (log.f64 y) x) |
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 y (log.f64 y) x)))) |
(fma.f64 y (log.f64 y) x) |
(cbrt.f64 (pow.f64 (fma.f64 y (log.f64 y) x) 3)) |
(fma.f64 y (log.f64 y) x) |
(expm1.f64 (log1p.f64 (fma.f64 y (log.f64 y) x))) |
(fma.f64 y (log.f64 y) x) |
(exp.f64 (log.f64 (fma.f64 y (log.f64 y) x))) |
(fma.f64 y (log.f64 y) x) |
(exp.f64 (*.f64 (log.f64 (fma.f64 y (log.f64 y) x)) 1)) |
(fma.f64 y (log.f64 y) x) |
(log1p.f64 (expm1.f64 (fma.f64 y (log.f64 y) x))) |
(fma.f64 y (log.f64 y) x) |
(fma.f64 y (log.f64 y) x) |
(fma.f64 (log.f64 y) y x) |
(fma.f64 y (log.f64 y) x) |
(fma.f64 1 (*.f64 y (log.f64 y)) x) |
(fma.f64 y (log.f64 y) x) |
(fma.f64 1 x (*.f64 y (log.f64 y))) |
(fma.f64 y (log.f64 y) x) |
(fma.f64 (sqrt.f64 (*.f64 y (log.f64 y))) (sqrt.f64 (*.f64 y (log.f64 y))) x) |
(fma.f64 y (log.f64 y) x) |
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 y (log.f64 y))) |
(fma.f64 y (log.f64 y) x) |
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 y (log.f64 y))) 2) (cbrt.f64 (*.f64 y (log.f64 y))) x) |
(fma.f64 y (log.f64 y) x) |
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 y (log.f64 y))) |
(fma.f64 y (log.f64 y) x) |
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.5b | (*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z))) |
Compiled 24 to 7 computations (70.8% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 14.0ms | x | @ | inf | (*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z))) |
| 8.0ms | z | @ | inf | (*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z))) |
| 0.0ms | x | @ | 0 | (*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z))) |
| 0.0ms | z | @ | 0 | (*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z))) |
| 0.0ms | y | @ | inf | (*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z))) |
| 1× | batch-egg-rewrite |
| 974× | *-commutative |
| 910× | unswap-sqr |
| 582× | swap-sqr |
| 572× | associate-*r/ |
| 434× | sqr-pow |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 23 |
| 1 | 210 | 23 |
| 2 | 2744 | 23 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 y y) (/.f64 (exp.f64 z) (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (exp.f64 x) (/.f64 (exp.f64 z) (pow.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 y y) (exp.f64 x)) (exp.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 y y) (neg.f64 (exp.f64 x))) (neg.f64 (exp.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (*.f64 (pow.f64 y y) (exp.f64 x))) (exp.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (pow.f64 y y) (sqrt.f64 (exp.f64 (-.f64 x z)))) (sqrt.f64 (exp.f64 x))) (sqrt.f64 (exp.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (pow.f64 y y) (cbrt.f64 (exp.f64 (*.f64 (-.f64 x z) 2)))) (cbrt.f64 (exp.f64 x))) (cbrt.f64 (exp.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (exp.f64 x)) (pow.f64 y y)) (neg.f64 (exp.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (pow.f64 y y) (exp.f64 x)) 1) (exp.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (exp.f64 x)) (*.f64 (pow.f64 y y) (sqrt.f64 (exp.f64 (-.f64 x z))))) (sqrt.f64 (exp.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (pow.f64 y y) (exp.f64 x)) 1) (exp.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (pow.f64 y y) (exp.f64 x)) (sqrt.f64 (exp.f64 z))) (sqrt.f64 (exp.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (pow.f64 y y) (exp.f64 x)) (*.f64 (cbrt.f64 (exp.f64 z)) (cbrt.f64 (exp.f64 z)))) (cbrt.f64 (exp.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (pow.f64 y y)) (exp.f64 (-.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (exp.f64 (-.f64 x z)) 3) (pow.f64 (pow.f64 y y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (-.f64 x z) (*.f64 y (log.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z))))))))) |
| 1× | egg-herbie |
| 1146× | distribute-lft-in |
| 934× | fma-def |
| 810× | *-commutative |
| 742× | associate-*r/ |
| 706× | associate-/l* |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 144 | 1858 |
| 1 | 400 | 1634 |
| 2 | 1590 | 1514 |
| 3 | 6275 | 1514 |
| 1× | node limit |
| Inputs |
|---|
(exp.f64 (-.f64 x z)) |
(+.f64 (*.f64 y (*.f64 (exp.f64 (-.f64 x z)) (log.f64 y))) (exp.f64 (-.f64 x z))) |
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 y 2) (*.f64 (exp.f64 (-.f64 x z)) (pow.f64 (log.f64 y) 2)))) (+.f64 (*.f64 y (*.f64 (exp.f64 (-.f64 x z)) (log.f64 y))) (exp.f64 (-.f64 x z)))) |
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 y 2) (*.f64 (exp.f64 (-.f64 x z)) (pow.f64 (log.f64 y) 2)))) (+.f64 (*.f64 y (*.f64 (exp.f64 (-.f64 x z)) (log.f64 y))) (+.f64 (exp.f64 (-.f64 x z)) (*.f64 1/6 (*.f64 (pow.f64 y 3) (*.f64 (exp.f64 (-.f64 x z)) (pow.f64 (log.f64 y) 3))))))) |
(*.f64 (exp.f64 (neg.f64 z)) (pow.f64 y y)) |
(+.f64 (*.f64 (exp.f64 (neg.f64 z)) (pow.f64 y y)) (*.f64 (exp.f64 (neg.f64 z)) (*.f64 (pow.f64 y y) x))) |
(+.f64 (*.f64 1/2 (*.f64 (exp.f64 (neg.f64 z)) (*.f64 (pow.f64 y y) (pow.f64 x 2)))) (+.f64 (*.f64 (exp.f64 (neg.f64 z)) (pow.f64 y y)) (*.f64 (exp.f64 (neg.f64 z)) (*.f64 (pow.f64 y y) x)))) |
(+.f64 (*.f64 1/6 (*.f64 (exp.f64 (neg.f64 z)) (*.f64 (pow.f64 y y) (pow.f64 x 3)))) (+.f64 (*.f64 1/2 (*.f64 (exp.f64 (neg.f64 z)) (*.f64 (pow.f64 y y) (pow.f64 x 2)))) (+.f64 (*.f64 (exp.f64 (neg.f64 z)) (pow.f64 y y)) (*.f64 (exp.f64 (neg.f64 z)) (*.f64 (pow.f64 y y) x))))) |
(*.f64 (pow.f64 y y) (exp.f64 (neg.f64 (+.f64 (*.f64 -1 x) z)))) |
(*.f64 (pow.f64 y y) (exp.f64 (neg.f64 (+.f64 (*.f64 -1 x) z)))) |
(*.f64 (pow.f64 y y) (exp.f64 (neg.f64 (+.f64 (*.f64 -1 x) z)))) |
(*.f64 (pow.f64 y y) (exp.f64 (neg.f64 (+.f64 (*.f64 -1 x) z)))) |
(*.f64 (pow.f64 y y) (exp.f64 x)) |
(+.f64 (*.f64 (pow.f64 y y) (exp.f64 x)) (*.f64 -1 (*.f64 (pow.f64 y y) (*.f64 (exp.f64 x) z)))) |
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 y y) (*.f64 (exp.f64 x) (pow.f64 z 2)))) (+.f64 (*.f64 (pow.f64 y y) (exp.f64 x)) (*.f64 -1 (*.f64 (pow.f64 y y) (*.f64 (exp.f64 x) z))))) |
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y y) (*.f64 (exp.f64 x) (pow.f64 z 3)))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 y y) (*.f64 (exp.f64 x) (pow.f64 z 2)))) (+.f64 (*.f64 (pow.f64 y y) (exp.f64 x)) (*.f64 -1 (*.f64 (pow.f64 y y) (*.f64 (exp.f64 x) z)))))) |
(*.f64 (exp.f64 (+.f64 (*.f64 -1 z) x)) (pow.f64 y y)) |
(*.f64 (exp.f64 (+.f64 (*.f64 -1 z) x)) (pow.f64 y y)) |
(*.f64 (exp.f64 (+.f64 (*.f64 -1 z) x)) (pow.f64 y y)) |
(*.f64 (exp.f64 (+.f64 (*.f64 -1 z) x)) (pow.f64 y y)) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z))))) 1) |
(/.f64 (pow.f64 y y) (/.f64 (exp.f64 z) (exp.f64 x))) |
(/.f64 (exp.f64 x) (/.f64 (exp.f64 z) (pow.f64 y y))) |
(/.f64 (*.f64 (pow.f64 y y) (exp.f64 x)) (exp.f64 z)) |
(/.f64 (*.f64 (pow.f64 y y) (neg.f64 (exp.f64 x))) (neg.f64 (exp.f64 z))) |
(/.f64 (*.f64 1 (*.f64 (pow.f64 y y) (exp.f64 x))) (exp.f64 z)) |
(/.f64 (*.f64 (*.f64 (pow.f64 y y) (sqrt.f64 (exp.f64 (-.f64 x z)))) (sqrt.f64 (exp.f64 x))) (sqrt.f64 (exp.f64 z))) |
(/.f64 (*.f64 (*.f64 (pow.f64 y y) (cbrt.f64 (exp.f64 (*.f64 (-.f64 x z) 2)))) (cbrt.f64 (exp.f64 x))) (cbrt.f64 (exp.f64 z))) |
(/.f64 (*.f64 (neg.f64 (exp.f64 x)) (pow.f64 y y)) (neg.f64 (exp.f64 z))) |
(/.f64 (*.f64 (*.f64 (pow.f64 y y) (exp.f64 x)) 1) (exp.f64 z)) |
(/.f64 (*.f64 (sqrt.f64 (exp.f64 x)) (*.f64 (pow.f64 y y) (sqrt.f64 (exp.f64 (-.f64 x z))))) (sqrt.f64 (exp.f64 z))) |
(/.f64 (/.f64 (*.f64 (pow.f64 y y) (exp.f64 x)) 1) (exp.f64 z)) |
(/.f64 (/.f64 (*.f64 (pow.f64 y y) (exp.f64 x)) (sqrt.f64 (exp.f64 z))) (sqrt.f64 (exp.f64 z))) |
(/.f64 (/.f64 (*.f64 (pow.f64 y y) (exp.f64 x)) (*.f64 (cbrt.f64 (exp.f64 z)) (cbrt.f64 (exp.f64 z)))) (cbrt.f64 (exp.f64 z))) |
(pow.f64 (*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z))) 1) |
(pow.f64 (sqrt.f64 (*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z)))) 2) |
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z)))) 3) |
(pow.f64 (pow.f64 (*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z))) 3) 1/3) |
(sqrt.f64 (pow.f64 (*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z))) 2)) |
(log.f64 (pow.f64 (exp.f64 (pow.f64 y y)) (exp.f64 (-.f64 x z)))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z)))))) |
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z))) 3)) |
(cbrt.f64 (*.f64 (pow.f64 (exp.f64 (-.f64 x z)) 3) (pow.f64 (pow.f64 y y) 3))) |
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z))))) |
(exp.f64 (+.f64 (-.f64 x z) (*.f64 y (log.f64 y)))) |
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z))))) |
| Outputs |
|---|
(exp.f64 (-.f64 x z)) |
(+.f64 (*.f64 y (*.f64 (exp.f64 (-.f64 x z)) (log.f64 y))) (exp.f64 (-.f64 x z))) |
(fma.f64 y (*.f64 (exp.f64 (-.f64 x z)) (log.f64 y)) (exp.f64 (-.f64 x z))) |
(*.f64 (+.f64 (*.f64 y (log.f64 y)) 1) (exp.f64 (-.f64 x z))) |
(*.f64 (+.f64 1 (*.f64 y (log.f64 y))) (exp.f64 (-.f64 x z))) |
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 y 2) (*.f64 (exp.f64 (-.f64 x z)) (pow.f64 (log.f64 y) 2)))) (+.f64 (*.f64 y (*.f64 (exp.f64 (-.f64 x z)) (log.f64 y))) (exp.f64 (-.f64 x z)))) |
(fma.f64 1/2 (*.f64 (*.f64 (*.f64 y y) (exp.f64 (-.f64 x z))) (pow.f64 (log.f64 y) 2)) (fma.f64 y (*.f64 (exp.f64 (-.f64 x z)) (log.f64 y)) (exp.f64 (-.f64 x z)))) |
(fma.f64 1/2 (*.f64 (exp.f64 (-.f64 x z)) (*.f64 (pow.f64 (log.f64 y) 2) (*.f64 y y))) (fma.f64 y (*.f64 (exp.f64 (-.f64 x z)) (log.f64 y)) (exp.f64 (-.f64 x z)))) |
(+.f64 (exp.f64 (-.f64 x z)) (*.f64 (exp.f64 (-.f64 x z)) (+.f64 (*.f64 y (log.f64 y)) (*.f64 (pow.f64 (log.f64 y) 2) (*.f64 y (*.f64 y 1/2)))))) |
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 y 2) (*.f64 (exp.f64 (-.f64 x z)) (pow.f64 (log.f64 y) 2)))) (+.f64 (*.f64 y (*.f64 (exp.f64 (-.f64 x z)) (log.f64 y))) (+.f64 (exp.f64 (-.f64 x z)) (*.f64 1/6 (*.f64 (pow.f64 y 3) (*.f64 (exp.f64 (-.f64 x z)) (pow.f64 (log.f64 y) 3))))))) |
(fma.f64 1/2 (*.f64 (*.f64 (*.f64 y y) (exp.f64 (-.f64 x z))) (pow.f64 (log.f64 y) 2)) (+.f64 (fma.f64 y (*.f64 (exp.f64 (-.f64 x z)) (log.f64 y)) (exp.f64 (-.f64 x z))) (*.f64 (*.f64 1/6 (pow.f64 y 3)) (*.f64 (exp.f64 (-.f64 x z)) (pow.f64 (log.f64 y) 3))))) |
(fma.f64 1/2 (*.f64 (exp.f64 (-.f64 x z)) (*.f64 (pow.f64 (log.f64 y) 2) (*.f64 y y))) (fma.f64 y (*.f64 (exp.f64 (-.f64 x z)) (log.f64 y)) (fma.f64 1/6 (*.f64 (exp.f64 (-.f64 x z)) (*.f64 (pow.f64 (log.f64 y) 3) (pow.f64 y 3))) (exp.f64 (-.f64 x z))))) |
(+.f64 (*.f64 (+.f64 (*.f64 y (log.f64 y)) 1) (exp.f64 (-.f64 x z))) (*.f64 (exp.f64 (-.f64 x z)) (+.f64 (*.f64 (pow.f64 (log.f64 y) 3) (*.f64 1/6 (pow.f64 y 3))) (*.f64 (pow.f64 (log.f64 y) 2) (*.f64 y (*.f64 y 1/2)))))) |
(+.f64 (*.f64 (+.f64 1 (*.f64 y (log.f64 y))) (exp.f64 (-.f64 x z))) (*.f64 (exp.f64 (-.f64 x z)) (+.f64 (*.f64 (pow.f64 (log.f64 y) 3) (*.f64 1/6 (pow.f64 y 3))) (*.f64 (pow.f64 (log.f64 y) 2) (*.f64 y (*.f64 y 1/2)))))) |
(*.f64 (exp.f64 (neg.f64 z)) (pow.f64 y y)) |
(/.f64 (pow.f64 y y) (exp.f64 z)) |
(+.f64 (*.f64 (exp.f64 (neg.f64 z)) (pow.f64 y y)) (*.f64 (exp.f64 (neg.f64 z)) (*.f64 (pow.f64 y y) x))) |
(*.f64 (exp.f64 (neg.f64 z)) (+.f64 (pow.f64 y y) (*.f64 x (pow.f64 y y)))) |
(*.f64 (exp.f64 (neg.f64 z)) (*.f64 (+.f64 x 1) (pow.f64 y y))) |
(/.f64 (*.f64 (pow.f64 y y) (+.f64 x 1)) (exp.f64 z)) |
(+.f64 (*.f64 1/2 (*.f64 (exp.f64 (neg.f64 z)) (*.f64 (pow.f64 y y) (pow.f64 x 2)))) (+.f64 (*.f64 (exp.f64 (neg.f64 z)) (pow.f64 y y)) (*.f64 (exp.f64 (neg.f64 z)) (*.f64 (pow.f64 y y) x)))) |
(fma.f64 1/2 (*.f64 (*.f64 (exp.f64 (neg.f64 z)) (pow.f64 y y)) (*.f64 x x)) (*.f64 (exp.f64 (neg.f64 z)) (+.f64 (pow.f64 y y) (*.f64 x (pow.f64 y y))))) |
(fma.f64 1/2 (*.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) (*.f64 x x)) (*.f64 (exp.f64 (neg.f64 z)) (*.f64 (+.f64 x 1) (pow.f64 y y)))) |
(*.f64 (exp.f64 (neg.f64 z)) (+.f64 (*.f64 (pow.f64 y y) (+.f64 x 1)) (*.f64 1/2 (*.f64 x (*.f64 x (pow.f64 y y)))))) |
(+.f64 (*.f64 1/6 (*.f64 (exp.f64 (neg.f64 z)) (*.f64 (pow.f64 y y) (pow.f64 x 3)))) (+.f64 (*.f64 1/2 (*.f64 (exp.f64 (neg.f64 z)) (*.f64 (pow.f64 y y) (pow.f64 x 2)))) (+.f64 (*.f64 (exp.f64 (neg.f64 z)) (pow.f64 y y)) (*.f64 (exp.f64 (neg.f64 z)) (*.f64 (pow.f64 y y) x))))) |
(fma.f64 1/6 (*.f64 (*.f64 (exp.f64 (neg.f64 z)) (pow.f64 y y)) (pow.f64 x 3)) (fma.f64 1/2 (*.f64 (*.f64 (exp.f64 (neg.f64 z)) (pow.f64 y y)) (*.f64 x x)) (*.f64 (exp.f64 (neg.f64 z)) (+.f64 (pow.f64 y y) (*.f64 x (pow.f64 y y)))))) |
(fma.f64 1/6 (*.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) (pow.f64 x 3)) (fma.f64 1/2 (*.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) (*.f64 x x)) (*.f64 (exp.f64 (neg.f64 z)) (*.f64 (+.f64 x 1) (pow.f64 y y))))) |
(+.f64 (/.f64 (*.f64 (pow.f64 y y) (+.f64 x 1)) (exp.f64 z)) (*.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) (+.f64 (*.f64 1/2 (*.f64 x x)) (*.f64 1/6 (pow.f64 x 3))))) |
(+.f64 (/.f64 (*.f64 (pow.f64 y y) (+.f64 x 1)) (exp.f64 z)) (*.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) (+.f64 (*.f64 1/6 (pow.f64 x 3)) (*.f64 1/2 (*.f64 x x))))) |
(*.f64 (pow.f64 y y) (exp.f64 (neg.f64 (+.f64 (*.f64 -1 x) z)))) |
(*.f64 (pow.f64 y y) (exp.f64 (neg.f64 (fma.f64 -1 x z)))) |
(/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x))) |
(*.f64 (pow.f64 y y) (exp.f64 (neg.f64 (+.f64 (*.f64 -1 x) z)))) |
(*.f64 (pow.f64 y y) (exp.f64 (neg.f64 (fma.f64 -1 x z)))) |
(/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x))) |
(*.f64 (pow.f64 y y) (exp.f64 (neg.f64 (+.f64 (*.f64 -1 x) z)))) |
(*.f64 (pow.f64 y y) (exp.f64 (neg.f64 (fma.f64 -1 x z)))) |
(/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x))) |
(*.f64 (pow.f64 y y) (exp.f64 (neg.f64 (+.f64 (*.f64 -1 x) z)))) |
(*.f64 (pow.f64 y y) (exp.f64 (neg.f64 (fma.f64 -1 x z)))) |
(/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x))) |
(*.f64 (pow.f64 y y) (exp.f64 x)) |
(+.f64 (*.f64 (pow.f64 y y) (exp.f64 x)) (*.f64 -1 (*.f64 (pow.f64 y y) (*.f64 (exp.f64 x) z)))) |
(fma.f64 (pow.f64 y y) (exp.f64 x) (neg.f64 (*.f64 (pow.f64 y y) (*.f64 z (exp.f64 x))))) |
(-.f64 (*.f64 (pow.f64 y y) (exp.f64 x)) (*.f64 z (*.f64 (pow.f64 y y) (exp.f64 x)))) |
(*.f64 (*.f64 (pow.f64 y y) (exp.f64 x)) (-.f64 1 z)) |
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 y y) (*.f64 (exp.f64 x) (pow.f64 z 2)))) (+.f64 (*.f64 (pow.f64 y y) (exp.f64 x)) (*.f64 -1 (*.f64 (pow.f64 y y) (*.f64 (exp.f64 x) z))))) |
(fma.f64 1/2 (*.f64 (pow.f64 y y) (*.f64 (exp.f64 x) (*.f64 z z))) (fma.f64 (pow.f64 y y) (exp.f64 x) (neg.f64 (*.f64 (pow.f64 y y) (*.f64 z (exp.f64 x)))))) |
(-.f64 (fma.f64 1/2 (*.f64 (exp.f64 x) (*.f64 (*.f64 z z) (pow.f64 y y))) (*.f64 (pow.f64 y y) (exp.f64 x))) (*.f64 z (*.f64 (pow.f64 y y) (exp.f64 x)))) |
(fma.f64 (pow.f64 y y) (exp.f64 x) (*.f64 (*.f64 (pow.f64 y y) (exp.f64 x)) (+.f64 (*.f64 1/2 (*.f64 z z)) (neg.f64 z)))) |
(fma.f64 (pow.f64 y y) (exp.f64 x) (*.f64 (*.f64 (pow.f64 y y) (exp.f64 x)) (+.f64 (neg.f64 z) (*.f64 1/2 (*.f64 z z))))) |
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y y) (*.f64 (exp.f64 x) (pow.f64 z 3)))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 y y) (*.f64 (exp.f64 x) (pow.f64 z 2)))) (+.f64 (*.f64 (pow.f64 y y) (exp.f64 x)) (*.f64 -1 (*.f64 (pow.f64 y y) (*.f64 (exp.f64 x) z)))))) |
(fma.f64 -1/6 (*.f64 (pow.f64 y y) (*.f64 (exp.f64 x) (pow.f64 z 3))) (fma.f64 1/2 (*.f64 (pow.f64 y y) (*.f64 (exp.f64 x) (*.f64 z z))) (fma.f64 (pow.f64 y y) (exp.f64 x) (neg.f64 (*.f64 (pow.f64 y y) (*.f64 z (exp.f64 x))))))) |
(fma.f64 -1/6 (*.f64 (exp.f64 x) (*.f64 (pow.f64 z 3) (pow.f64 y y))) (-.f64 (fma.f64 1/2 (*.f64 (exp.f64 x) (*.f64 (*.f64 z z) (pow.f64 y y))) (*.f64 (pow.f64 y y) (exp.f64 x))) (*.f64 z (*.f64 (pow.f64 y y) (exp.f64 x))))) |
(+.f64 (*.f64 (*.f64 (pow.f64 y y) (exp.f64 x)) (-.f64 1 z)) (*.f64 (*.f64 (pow.f64 y y) (exp.f64 x)) (+.f64 (*.f64 1/2 (*.f64 z z)) (*.f64 -1/6 (pow.f64 z 3))))) |
(+.f64 (*.f64 (*.f64 (pow.f64 y y) (exp.f64 x)) (-.f64 1 z)) (*.f64 (*.f64 (pow.f64 y y) (exp.f64 x)) (+.f64 (*.f64 -1/6 (pow.f64 z 3)) (*.f64 1/2 (*.f64 z z))))) |
(*.f64 (exp.f64 (+.f64 (*.f64 -1 z) x)) (pow.f64 y y)) |
(*.f64 (pow.f64 y y) (exp.f64 (neg.f64 (fma.f64 -1 x z)))) |
(/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x))) |
(*.f64 (exp.f64 (+.f64 (*.f64 -1 z) x)) (pow.f64 y y)) |
(*.f64 (pow.f64 y y) (exp.f64 (neg.f64 (fma.f64 -1 x z)))) |
(/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x))) |
(*.f64 (exp.f64 (+.f64 (*.f64 -1 z) x)) (pow.f64 y y)) |
(*.f64 (pow.f64 y y) (exp.f64 (neg.f64 (fma.f64 -1 x z)))) |
(/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x))) |
(*.f64 (exp.f64 (+.f64 (*.f64 -1 z) x)) (pow.f64 y y)) |
(*.f64 (pow.f64 y y) (exp.f64 (neg.f64 (fma.f64 -1 x z)))) |
(/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z))))) 1) |
(*.f64 (pow.f64 y y) (exp.f64 (neg.f64 (fma.f64 -1 x z)))) |
(/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x))) |
(/.f64 (pow.f64 y y) (/.f64 (exp.f64 z) (exp.f64 x))) |
(*.f64 (pow.f64 y y) (exp.f64 (neg.f64 (fma.f64 -1 x z)))) |
(/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x))) |
(/.f64 (exp.f64 x) (/.f64 (exp.f64 z) (pow.f64 y y))) |
(*.f64 (pow.f64 y y) (exp.f64 (neg.f64 (fma.f64 -1 x z)))) |
(/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x))) |
(/.f64 (*.f64 (pow.f64 y y) (exp.f64 x)) (exp.f64 z)) |
(*.f64 (pow.f64 y y) (exp.f64 (neg.f64 (fma.f64 -1 x z)))) |
(/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x))) |
(/.f64 (*.f64 (pow.f64 y y) (neg.f64 (exp.f64 x))) (neg.f64 (exp.f64 z))) |
(*.f64 (pow.f64 y y) (exp.f64 (neg.f64 (fma.f64 -1 x z)))) |
(/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x))) |
(/.f64 (*.f64 1 (*.f64 (pow.f64 y y) (exp.f64 x))) (exp.f64 z)) |
(*.f64 (pow.f64 y y) (exp.f64 (neg.f64 (fma.f64 -1 x z)))) |
(/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x))) |
(/.f64 (*.f64 (*.f64 (pow.f64 y y) (sqrt.f64 (exp.f64 (-.f64 x z)))) (sqrt.f64 (exp.f64 x))) (sqrt.f64 (exp.f64 z))) |
(/.f64 (*.f64 (pow.f64 y y) (sqrt.f64 (exp.f64 (-.f64 x z)))) (/.f64 (sqrt.f64 (exp.f64 z)) (sqrt.f64 (exp.f64 x)))) |
(/.f64 (pow.f64 y y) (/.f64 (/.f64 (sqrt.f64 (exp.f64 z)) (sqrt.f64 (exp.f64 x))) (sqrt.f64 (exp.f64 (-.f64 x z))))) |
(*.f64 (sqrt.f64 (exp.f64 x)) (/.f64 (pow.f64 y y) (/.f64 (sqrt.f64 (exp.f64 z)) (sqrt.f64 (exp.f64 (-.f64 x z)))))) |
(/.f64 (*.f64 (*.f64 (pow.f64 y y) (cbrt.f64 (exp.f64 (*.f64 (-.f64 x z) 2)))) (cbrt.f64 (exp.f64 x))) (cbrt.f64 (exp.f64 z))) |
(/.f64 (*.f64 (pow.f64 y y) (cbrt.f64 (pow.f64 (exp.f64 (-.f64 x z)) 2))) (/.f64 (cbrt.f64 (exp.f64 z)) (cbrt.f64 (exp.f64 x)))) |
(*.f64 (/.f64 (*.f64 (pow.f64 y y) (cbrt.f64 (pow.f64 (exp.f64 (-.f64 x z)) 2))) (cbrt.f64 (exp.f64 z))) (cbrt.f64 (exp.f64 x))) |
(*.f64 (/.f64 (pow.f64 y y) (cbrt.f64 (exp.f64 z))) (*.f64 (cbrt.f64 (pow.f64 (exp.f64 2) (-.f64 x z))) (cbrt.f64 (exp.f64 x)))) |
(/.f64 (*.f64 (neg.f64 (exp.f64 x)) (pow.f64 y y)) (neg.f64 (exp.f64 z))) |
(*.f64 (pow.f64 y y) (exp.f64 (neg.f64 (fma.f64 -1 x z)))) |
(/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x))) |
(/.f64 (*.f64 (*.f64 (pow.f64 y y) (exp.f64 x)) 1) (exp.f64 z)) |
(*.f64 (pow.f64 y y) (exp.f64 (neg.f64 (fma.f64 -1 x z)))) |
(/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x))) |
(/.f64 (*.f64 (sqrt.f64 (exp.f64 x)) (*.f64 (pow.f64 y y) (sqrt.f64 (exp.f64 (-.f64 x z))))) (sqrt.f64 (exp.f64 z))) |
(/.f64 (*.f64 (pow.f64 y y) (sqrt.f64 (exp.f64 (-.f64 x z)))) (/.f64 (sqrt.f64 (exp.f64 z)) (sqrt.f64 (exp.f64 x)))) |
(/.f64 (pow.f64 y y) (/.f64 (/.f64 (sqrt.f64 (exp.f64 z)) (sqrt.f64 (exp.f64 x))) (sqrt.f64 (exp.f64 (-.f64 x z))))) |
(*.f64 (sqrt.f64 (exp.f64 x)) (/.f64 (pow.f64 y y) (/.f64 (sqrt.f64 (exp.f64 z)) (sqrt.f64 (exp.f64 (-.f64 x z)))))) |
(/.f64 (/.f64 (*.f64 (pow.f64 y y) (exp.f64 x)) 1) (exp.f64 z)) |
(*.f64 (pow.f64 y y) (exp.f64 (neg.f64 (fma.f64 -1 x z)))) |
(/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x))) |
(/.f64 (/.f64 (*.f64 (pow.f64 y y) (exp.f64 x)) (sqrt.f64 (exp.f64 z))) (sqrt.f64 (exp.f64 z))) |
(*.f64 (pow.f64 y y) (exp.f64 (neg.f64 (fma.f64 -1 x z)))) |
(/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x))) |
(/.f64 (/.f64 (*.f64 (pow.f64 y y) (exp.f64 x)) (*.f64 (cbrt.f64 (exp.f64 z)) (cbrt.f64 (exp.f64 z)))) (cbrt.f64 (exp.f64 z))) |
(*.f64 (pow.f64 y y) (exp.f64 (neg.f64 (fma.f64 -1 x z)))) |
(/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x))) |
(pow.f64 (*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z))) 1) |
(*.f64 (pow.f64 y y) (exp.f64 (neg.f64 (fma.f64 -1 x z)))) |
(/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x))) |
(pow.f64 (sqrt.f64 (*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z)))) 2) |
(*.f64 (pow.f64 y y) (exp.f64 (neg.f64 (fma.f64 -1 x z)))) |
(/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x))) |
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z)))) 3) |
(*.f64 (pow.f64 y y) (exp.f64 (neg.f64 (fma.f64 -1 x z)))) |
(/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x))) |
(pow.f64 (pow.f64 (*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z))) 3) 1/3) |
(*.f64 (pow.f64 y y) (exp.f64 (neg.f64 (fma.f64 -1 x z)))) |
(/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x))) |
(sqrt.f64 (pow.f64 (*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z))) 2)) |
(*.f64 (pow.f64 y y) (exp.f64 (neg.f64 (fma.f64 -1 x z)))) |
(/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x))) |
(log.f64 (pow.f64 (exp.f64 (pow.f64 y y)) (exp.f64 (-.f64 x z)))) |
(*.f64 (pow.f64 y y) (exp.f64 (neg.f64 (fma.f64 -1 x z)))) |
(/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z)))))) |
(*.f64 (pow.f64 y y) (exp.f64 (neg.f64 (fma.f64 -1 x z)))) |
(/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x))) |
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z))) 3)) |
(*.f64 (pow.f64 y y) (exp.f64 (neg.f64 (fma.f64 -1 x z)))) |
(/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x))) |
(cbrt.f64 (*.f64 (pow.f64 (exp.f64 (-.f64 x z)) 3) (pow.f64 (pow.f64 y y) 3))) |
(*.f64 (pow.f64 y y) (exp.f64 (neg.f64 (fma.f64 -1 x z)))) |
(/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x))) |
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z))))) |
(*.f64 (pow.f64 y y) (exp.f64 (neg.f64 (fma.f64 -1 x z)))) |
(/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x))) |
(exp.f64 (+.f64 (-.f64 x z) (*.f64 y (log.f64 y)))) |
(*.f64 (pow.f64 y y) (exp.f64 (neg.f64 (fma.f64 -1 x z)))) |
(/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x))) |
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z))))) |
(*.f64 (pow.f64 y y) (exp.f64 (neg.f64 (fma.f64 -1 x z)))) |
(/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x))) |
Compiled 7174 to 2258 computations (68.5% saved)
2 alts after pruning (2 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 319 | 2 | 321 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 1 | 0 | 1 |
| Total | 321 | 2 | 323 |
| Status | Error | Program |
|---|---|---|
| ▶ | 28.7b | (/.f64 (pow.f64 y y) (exp.f64 z)) |
| ▶ | 1.1b | (exp.f64 (-.f64 x z)) |
Compiled 16 to 11 computations (31.3% saved)
Compiled 12 to 5 computations (58.3% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.2b | (/.f64 (pow.f64 y y) (exp.f64 z)) |
Compiled 16 to 6 computations (62.5% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | y | @ | 0 | (/.f64 (pow.f64 y y) (exp.f64 z)) |
| 0.0ms | z | @ | 0 | (/.f64 (pow.f64 y y) (exp.f64 z)) |
| 0.0ms | y | @ | inf | (/.f64 (pow.f64 y y) (exp.f64 z)) |
| 0.0ms | z | @ | inf | (/.f64 (pow.f64 y y) (exp.f64 z)) |
| 0.0ms | z | @ | -inf | (/.f64 (pow.f64 y y) (exp.f64 z)) |
| 1× | batch-egg-rewrite |
| 1678× | add-sqr-sqrt |
| 1662× | *-un-lft-identity |
| 1544× | add-cube-cbrt |
| 1524× | add-cbrt-cube |
| 168× | pow1 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 17 |
| 1 | 164 | 17 |
| 2 | 2126 | 17 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (pow.f64 y y) (exp.f64 z)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (pow.f64 y y) (exp.f64 z)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 y y) (exp.f64 (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (pow.f64 y y) (exp.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (pow.f64 y y) (exp.f64 z))) (sqrt.f64 (/.f64 (pow.f64 y y) (exp.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 y y)) (*.f64 (sqrt.f64 (pow.f64 y y)) (exp.f64 (neg.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (pow.f64 y y) (exp.f64 z))) (pow.f64 (cbrt.f64 (/.f64 (pow.f64 y y) (exp.f64 z))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 y y) (exp.f64 z))) 2) (cbrt.f64 (/.f64 (pow.f64 y y) (exp.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 y y)) 2) (*.f64 (cbrt.f64 (pow.f64 y y)) (exp.f64 (neg.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 (neg.f64 z)) (pow.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (pow.f64 y y)) (/.f64 1 (neg.f64 (exp.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (exp.f64 z))) (/.f64 (pow.f64 y y) (sqrt.f64 (exp.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (exp.f64 z)) 2)) (/.f64 (pow.f64 y y) (cbrt.f64 (exp.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (pow.f64 y y)) 1) (/.f64 (sqrt.f64 (pow.f64 y y)) (exp.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (pow.f64 y y)) (pow.f64 (cbrt.f64 (exp.f64 z)) 2)) (/.f64 (sqrt.f64 (pow.f64 y y)) (cbrt.f64 (exp.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (pow.f64 y y)) 2) 1) (/.f64 (cbrt.f64 (pow.f64 y y)) (exp.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (pow.f64 y y)) 2) (sqrt.f64 (exp.f64 z))) (/.f64 (cbrt.f64 (pow.f64 y y)) (sqrt.f64 (exp.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (pow.f64 y y)) 2) (pow.f64 (cbrt.f64 (exp.f64 z)) 2)) (cbrt.f64 (/.f64 (pow.f64 y y) (exp.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (pow.f64 y y) (exp.f64 z))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (pow.f64 y y) (exp.f64 z))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (exp.f64 z) (pow.f64 y y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (pow.f64 y y) (neg.f64 (exp.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (pow.f64 y y) (exp.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (pow.f64 y y) (exp.f64 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (pow.f64 y y) (exp.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 y (log.f64 y)) z))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 (*.f64 y (log.f64 y)) z) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (pow.f64 y y) (exp.f64 z)))))))) |
| 1× | egg-herbie |
| 1278× | associate--r+ |
| 1076× | associate-+l- |
| 1024× | associate-+r- |
| 808× | fma-def |
| 612× | associate-*r/ |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 128 | 1136 |
| 1 | 363 | 1086 |
| 2 | 1389 | 1038 |
| 3 | 5995 | 1038 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 1 (exp.f64 z)) |
(+.f64 (/.f64 1 (exp.f64 z)) (/.f64 (*.f64 y (log.f64 y)) (exp.f64 z))) |
(+.f64 (/.f64 1 (exp.f64 z)) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 y 2) (pow.f64 (log.f64 y) 2)) (exp.f64 z))) (/.f64 (*.f64 y (log.f64 y)) (exp.f64 z)))) |
(+.f64 (/.f64 1 (exp.f64 z)) (+.f64 (*.f64 1/6 (/.f64 (*.f64 (pow.f64 y 3) (pow.f64 (log.f64 y) 3)) (exp.f64 z))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 y 2) (pow.f64 (log.f64 y) 2)) (exp.f64 z))) (/.f64 (*.f64 y (log.f64 y)) (exp.f64 z))))) |
(pow.f64 y y) |
(+.f64 (*.f64 -1 (*.f64 (pow.f64 y y) z)) (pow.f64 y y)) |
(+.f64 (*.f64 -1 (*.f64 (pow.f64 y y) z)) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (pow.f64 y y)) (*.f64 1/2 (pow.f64 y y))) (pow.f64 z 2))) (pow.f64 y y))) |
(+.f64 (*.f64 -1 (*.f64 (pow.f64 y y) z)) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (+.f64 (*.f64 -1 (pow.f64 y y)) (*.f64 1/2 (pow.f64 y y)))) (+.f64 (*.f64 -1/2 (pow.f64 y y)) (*.f64 1/6 (pow.f64 y y)))) (pow.f64 z 3))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (pow.f64 y y)) (*.f64 1/2 (pow.f64 y y))) (pow.f64 z 2))) (pow.f64 y y)))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 (pow.f64 y y) (exp.f64 z)))) 1) |
(*.f64 (pow.f64 y y) (exp.f64 (neg.f64 z))) |
(*.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) 1) |
(*.f64 1 (/.f64 (pow.f64 y y) (exp.f64 z))) |
(*.f64 (sqrt.f64 (/.f64 (pow.f64 y y) (exp.f64 z))) (sqrt.f64 (/.f64 (pow.f64 y y) (exp.f64 z)))) |
(*.f64 (sqrt.f64 (pow.f64 y y)) (*.f64 (sqrt.f64 (pow.f64 y y)) (exp.f64 (neg.f64 z)))) |
(*.f64 (cbrt.f64 (/.f64 (pow.f64 y y) (exp.f64 z))) (pow.f64 (cbrt.f64 (/.f64 (pow.f64 y y) (exp.f64 z))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 y y) (exp.f64 z))) 2) (cbrt.f64 (/.f64 (pow.f64 y y) (exp.f64 z)))) |
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 y y)) 2) (*.f64 (cbrt.f64 (pow.f64 y y)) (exp.f64 (neg.f64 z)))) |
(*.f64 (exp.f64 (neg.f64 z)) (pow.f64 y y)) |
(*.f64 (neg.f64 (pow.f64 y y)) (/.f64 1 (neg.f64 (exp.f64 z)))) |
(*.f64 (/.f64 1 (sqrt.f64 (exp.f64 z))) (/.f64 (pow.f64 y y) (sqrt.f64 (exp.f64 z)))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (exp.f64 z)) 2)) (/.f64 (pow.f64 y y) (cbrt.f64 (exp.f64 z)))) |
(*.f64 (/.f64 (sqrt.f64 (pow.f64 y y)) 1) (/.f64 (sqrt.f64 (pow.f64 y y)) (exp.f64 z))) |
(*.f64 (/.f64 (sqrt.f64 (pow.f64 y y)) (pow.f64 (cbrt.f64 (exp.f64 z)) 2)) (/.f64 (sqrt.f64 (pow.f64 y y)) (cbrt.f64 (exp.f64 z)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (pow.f64 y y)) 2) 1) (/.f64 (cbrt.f64 (pow.f64 y y)) (exp.f64 z))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (pow.f64 y y)) 2) (sqrt.f64 (exp.f64 z))) (/.f64 (cbrt.f64 (pow.f64 y y)) (sqrt.f64 (exp.f64 z)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (pow.f64 y y)) 2) (pow.f64 (cbrt.f64 (exp.f64 z)) 2)) (cbrt.f64 (/.f64 (pow.f64 y y) (exp.f64 z)))) |
(pow.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) 1) |
(pow.f64 (sqrt.f64 (/.f64 (pow.f64 y y) (exp.f64 z))) 2) |
(pow.f64 (cbrt.f64 (/.f64 (pow.f64 y y) (exp.f64 z))) 3) |
(pow.f64 (pow.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) 3) 1/3) |
(pow.f64 (/.f64 (exp.f64 z) (pow.f64 y y)) -1) |
(neg.f64 (/.f64 (pow.f64 y y) (neg.f64 (exp.f64 z)))) |
(sqrt.f64 (pow.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) 2)) |
(log.f64 (exp.f64 (/.f64 (pow.f64 y y) (exp.f64 z)))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (pow.f64 y y) (exp.f64 z))))) |
(cbrt.f64 (pow.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) 3)) |
(expm1.f64 (log1p.f64 (/.f64 (pow.f64 y y) (exp.f64 z)))) |
(exp.f64 (-.f64 (*.f64 y (log.f64 y)) z)) |
(exp.f64 (*.f64 (-.f64 (*.f64 y (log.f64 y)) z) 1)) |
(log1p.f64 (expm1.f64 (/.f64 (pow.f64 y y) (exp.f64 z)))) |
| Outputs |
|---|
(/.f64 1 (exp.f64 z)) |
(exp.f64 (neg.f64 z)) |
(+.f64 (/.f64 1 (exp.f64 z)) (/.f64 (*.f64 y (log.f64 y)) (exp.f64 z))) |
(+.f64 (/.f64 y (/.f64 (exp.f64 z) (log.f64 y))) (exp.f64 (neg.f64 z))) |
(+.f64 (*.f64 (/.f64 y (exp.f64 z)) (log.f64 y)) (exp.f64 (neg.f64 z))) |
(fma.f64 (/.f64 y (exp.f64 z)) (log.f64 y) (exp.f64 (neg.f64 z))) |
(+.f64 (/.f64 1 (exp.f64 z)) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 y 2) (pow.f64 (log.f64 y) 2)) (exp.f64 z))) (/.f64 (*.f64 y (log.f64 y)) (exp.f64 z)))) |
(+.f64 (fma.f64 1/2 (/.f64 (*.f64 y y) (/.f64 (exp.f64 z) (pow.f64 (log.f64 y) 2))) (/.f64 y (/.f64 (exp.f64 z) (log.f64 y)))) (exp.f64 (neg.f64 z))) |
(+.f64 (fma.f64 1/2 (/.f64 (pow.f64 (log.f64 y) 2) (/.f64 (exp.f64 z) (*.f64 y y))) (*.f64 (/.f64 y (exp.f64 z)) (log.f64 y))) (exp.f64 (neg.f64 z))) |
(fma.f64 1/2 (*.f64 (pow.f64 (log.f64 y) 2) (/.f64 y (/.f64 (exp.f64 z) y))) (fma.f64 (/.f64 y (exp.f64 z)) (log.f64 y) (exp.f64 (neg.f64 z)))) |
(+.f64 (/.f64 1 (exp.f64 z)) (+.f64 (*.f64 1/6 (/.f64 (*.f64 (pow.f64 y 3) (pow.f64 (log.f64 y) 3)) (exp.f64 z))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 y 2) (pow.f64 (log.f64 y) 2)) (exp.f64 z))) (/.f64 (*.f64 y (log.f64 y)) (exp.f64 z))))) |
(+.f64 (fma.f64 1/6 (/.f64 (pow.f64 y 3) (/.f64 (exp.f64 z) (pow.f64 (log.f64 y) 3))) (fma.f64 1/2 (/.f64 (*.f64 y y) (/.f64 (exp.f64 z) (pow.f64 (log.f64 y) 2))) (/.f64 y (/.f64 (exp.f64 z) (log.f64 y))))) (exp.f64 (neg.f64 z))) |
(+.f64 (fma.f64 1/6 (*.f64 (/.f64 (pow.f64 y 3) (exp.f64 z)) (pow.f64 (log.f64 y) 3)) (fma.f64 1/2 (/.f64 (pow.f64 (log.f64 y) 2) (/.f64 (exp.f64 z) (*.f64 y y))) (*.f64 (/.f64 y (exp.f64 z)) (log.f64 y)))) (exp.f64 (neg.f64 z))) |
(fma.f64 1/6 (*.f64 (pow.f64 (log.f64 y) 3) (/.f64 (pow.f64 y 3) (exp.f64 z))) (fma.f64 1/2 (*.f64 (pow.f64 (log.f64 y) 2) (/.f64 y (/.f64 (exp.f64 z) y))) (fma.f64 (/.f64 y (exp.f64 z)) (log.f64 y) (exp.f64 (neg.f64 z))))) |
(pow.f64 y y) |
(+.f64 (*.f64 -1 (*.f64 (pow.f64 y y) z)) (pow.f64 y y)) |
(fma.f64 -1 (*.f64 z (pow.f64 y y)) (pow.f64 y y)) |
(-.f64 (pow.f64 y y) (*.f64 z (pow.f64 y y))) |
(*.f64 (pow.f64 y y) (-.f64 1 z)) |
(+.f64 (*.f64 -1 (*.f64 (pow.f64 y y) z)) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (pow.f64 y y)) (*.f64 1/2 (pow.f64 y y))) (pow.f64 z 2))) (pow.f64 y y))) |
(fma.f64 -1 (*.f64 z (pow.f64 y y)) (fma.f64 -1 (*.f64 (*.f64 (pow.f64 y y) -1/2) (*.f64 z z)) (pow.f64 y y))) |
(-.f64 (fma.f64 (*.f64 1/2 (pow.f64 y y)) (*.f64 z z) (pow.f64 y y)) (*.f64 z (pow.f64 y y))) |
(-.f64 (pow.f64 y y) (*.f64 (pow.f64 y y) (+.f64 z (*.f64 (*.f64 z z) -1/2)))) |
(+.f64 (*.f64 -1 (*.f64 (pow.f64 y y) z)) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (+.f64 (*.f64 -1 (pow.f64 y y)) (*.f64 1/2 (pow.f64 y y)))) (+.f64 (*.f64 -1/2 (pow.f64 y y)) (*.f64 1/6 (pow.f64 y y)))) (pow.f64 z 3))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (pow.f64 y y)) (*.f64 1/2 (pow.f64 y y))) (pow.f64 z 2))) (pow.f64 y y)))) |
(fma.f64 -1 (*.f64 z (pow.f64 y y)) (fma.f64 -1 (*.f64 (fma.f64 -1 (*.f64 (pow.f64 y y) -1/2) (*.f64 (pow.f64 y y) -1/3)) (pow.f64 z 3)) (fma.f64 -1 (*.f64 (*.f64 (pow.f64 y y) -1/2) (*.f64 z z)) (pow.f64 y y)))) |
(-.f64 (-.f64 (fma.f64 (*.f64 1/2 (pow.f64 y y)) (*.f64 z z) (pow.f64 y y)) (*.f64 (fma.f64 (pow.f64 y y) -1/3 (*.f64 1/2 (pow.f64 y y))) (pow.f64 z 3))) (*.f64 z (pow.f64 y y))) |
(-.f64 (-.f64 (pow.f64 y y) (*.f64 (pow.f64 y y) (+.f64 z (*.f64 (*.f64 z z) -1/2)))) (*.f64 (*.f64 1/6 (pow.f64 y y)) (pow.f64 z 3))) |
(-.f64 (*.f64 (pow.f64 y y) (-.f64 1 z)) (*.f64 (*.f64 z z) (+.f64 (*.f64 (pow.f64 y y) -1/2) (*.f64 z (*.f64 1/6 (pow.f64 y y)))))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 (pow.f64 y y) (exp.f64 z)))) 1) |
(/.f64 (pow.f64 y y) (exp.f64 z)) |
(*.f64 (pow.f64 y y) (exp.f64 (neg.f64 z))) |
(/.f64 (pow.f64 y y) (exp.f64 z)) |
(*.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) 1) |
(/.f64 (pow.f64 y y) (exp.f64 z)) |
(*.f64 1 (/.f64 (pow.f64 y y) (exp.f64 z))) |
(/.f64 (pow.f64 y y) (exp.f64 z)) |
(*.f64 (sqrt.f64 (/.f64 (pow.f64 y y) (exp.f64 z))) (sqrt.f64 (/.f64 (pow.f64 y y) (exp.f64 z)))) |
(/.f64 (pow.f64 y y) (exp.f64 z)) |
(*.f64 (sqrt.f64 (pow.f64 y y)) (*.f64 (sqrt.f64 (pow.f64 y y)) (exp.f64 (neg.f64 z)))) |
(/.f64 (pow.f64 y y) (exp.f64 z)) |
(*.f64 (cbrt.f64 (/.f64 (pow.f64 y y) (exp.f64 z))) (pow.f64 (cbrt.f64 (/.f64 (pow.f64 y y) (exp.f64 z))) 2)) |
(/.f64 (pow.f64 y y) (exp.f64 z)) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 y y) (exp.f64 z))) 2) (cbrt.f64 (/.f64 (pow.f64 y y) (exp.f64 z)))) |
(/.f64 (pow.f64 y y) (exp.f64 z)) |
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 y y)) 2) (*.f64 (cbrt.f64 (pow.f64 y y)) (exp.f64 (neg.f64 z)))) |
(/.f64 (pow.f64 y y) (exp.f64 z)) |
(*.f64 (exp.f64 (neg.f64 z)) (pow.f64 y y)) |
(/.f64 (pow.f64 y y) (exp.f64 z)) |
(*.f64 (neg.f64 (pow.f64 y y)) (/.f64 1 (neg.f64 (exp.f64 z)))) |
(/.f64 (pow.f64 y y) (exp.f64 z)) |
(*.f64 (/.f64 1 (sqrt.f64 (exp.f64 z))) (/.f64 (pow.f64 y y) (sqrt.f64 (exp.f64 z)))) |
(/.f64 (/.f64 (pow.f64 y y) (sqrt.f64 (exp.f64 z))) (sqrt.f64 (exp.f64 z))) |
(/.f64 (pow.f64 y y) (*.f64 (sqrt.f64 (exp.f64 z)) (sqrt.f64 (exp.f64 z)))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (exp.f64 z)) 2)) (/.f64 (pow.f64 y y) (cbrt.f64 (exp.f64 z)))) |
(/.f64 (/.f64 (pow.f64 y y) (cbrt.f64 (exp.f64 z))) (pow.f64 (cbrt.f64 (exp.f64 z)) 2)) |
(/.f64 (pow.f64 y y) (*.f64 (pow.f64 (cbrt.f64 (exp.f64 z)) 2) (cbrt.f64 (exp.f64 z)))) |
(*.f64 (/.f64 (sqrt.f64 (pow.f64 y y)) 1) (/.f64 (sqrt.f64 (pow.f64 y y)) (exp.f64 z))) |
(/.f64 (pow.f64 y y) (exp.f64 z)) |
(*.f64 (/.f64 (sqrt.f64 (pow.f64 y y)) (pow.f64 (cbrt.f64 (exp.f64 z)) 2)) (/.f64 (sqrt.f64 (pow.f64 y y)) (cbrt.f64 (exp.f64 z)))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (exp.f64 z)) 2)) (/.f64 (pow.f64 y y) (cbrt.f64 (exp.f64 z)))) |
(/.f64 (/.f64 (pow.f64 y y) (cbrt.f64 (exp.f64 z))) (pow.f64 (cbrt.f64 (exp.f64 z)) 2)) |
(/.f64 (pow.f64 y y) (*.f64 (pow.f64 (cbrt.f64 (exp.f64 z)) 2) (cbrt.f64 (exp.f64 z)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (pow.f64 y y)) 2) 1) (/.f64 (cbrt.f64 (pow.f64 y y)) (exp.f64 z))) |
(/.f64 (pow.f64 y y) (exp.f64 z)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (pow.f64 y y)) 2) (sqrt.f64 (exp.f64 z))) (/.f64 (cbrt.f64 (pow.f64 y y)) (sqrt.f64 (exp.f64 z)))) |
(*.f64 (/.f64 1 (sqrt.f64 (exp.f64 z))) (/.f64 (pow.f64 y y) (sqrt.f64 (exp.f64 z)))) |
(/.f64 (/.f64 (pow.f64 y y) (sqrt.f64 (exp.f64 z))) (sqrt.f64 (exp.f64 z))) |
(/.f64 (pow.f64 y y) (*.f64 (sqrt.f64 (exp.f64 z)) (sqrt.f64 (exp.f64 z)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (pow.f64 y y)) 2) (pow.f64 (cbrt.f64 (exp.f64 z)) 2)) (cbrt.f64 (/.f64 (pow.f64 y y) (exp.f64 z)))) |
(*.f64 (cbrt.f64 (/.f64 (pow.f64 y y) (exp.f64 z))) (/.f64 (pow.f64 (cbrt.f64 (pow.f64 y y)) 2) (pow.f64 (cbrt.f64 (exp.f64 z)) 2))) |
(pow.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) 1) |
(/.f64 (pow.f64 y y) (exp.f64 z)) |
(pow.f64 (sqrt.f64 (/.f64 (pow.f64 y y) (exp.f64 z))) 2) |
(/.f64 (pow.f64 y y) (exp.f64 z)) |
(pow.f64 (cbrt.f64 (/.f64 (pow.f64 y y) (exp.f64 z))) 3) |
(/.f64 (pow.f64 y y) (exp.f64 z)) |
(pow.f64 (pow.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) 3) 1/3) |
(/.f64 (pow.f64 y y) (exp.f64 z)) |
(pow.f64 (/.f64 (exp.f64 z) (pow.f64 y y)) -1) |
(/.f64 (pow.f64 y y) (exp.f64 z)) |
(neg.f64 (/.f64 (pow.f64 y y) (neg.f64 (exp.f64 z)))) |
(/.f64 (pow.f64 y y) (exp.f64 z)) |
(sqrt.f64 (pow.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) 2)) |
(/.f64 (pow.f64 y y) (exp.f64 z)) |
(log.f64 (exp.f64 (/.f64 (pow.f64 y y) (exp.f64 z)))) |
(/.f64 (pow.f64 y y) (exp.f64 z)) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (pow.f64 y y) (exp.f64 z))))) |
(/.f64 (pow.f64 y y) (exp.f64 z)) |
(cbrt.f64 (pow.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) 3)) |
(/.f64 (pow.f64 y y) (exp.f64 z)) |
(expm1.f64 (log1p.f64 (/.f64 (pow.f64 y y) (exp.f64 z)))) |
(/.f64 (pow.f64 y y) (exp.f64 z)) |
(exp.f64 (-.f64 (*.f64 y (log.f64 y)) z)) |
(/.f64 (pow.f64 y y) (exp.f64 z)) |
(exp.f64 (*.f64 (-.f64 (*.f64 y (log.f64 y)) z) 1)) |
(/.f64 (pow.f64 y y) (exp.f64 z)) |
(log1p.f64 (expm1.f64 (/.f64 (pow.f64 y y) (exp.f64 z)))) |
(/.f64 (pow.f64 y y) (exp.f64 z)) |
Compiled 1044 to 367 computations (64.8% saved)
4 alts after pruning (3 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 63 | 3 | 66 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 1 | 1 |
| Total | 64 | 4 | 68 |
| Status | Error | Program |
|---|---|---|
| ▶ | 43.1b | (pow.f64 y y) |
| ▶ | 43.1b | (*.f64 (pow.f64 y y) (-.f64 1 z)) |
| ✓ | 1.1b | (exp.f64 (-.f64 x z)) |
| ▶ | 20.8b | (exp.f64 (neg.f64 z)) |
Compiled 29 to 21 computations (27.6% saved)
Compiled 9 to 5 computations (44.4% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (*.f64 (pow.f64 y y) (-.f64 1 z)) |
Compiled 19 to 10 computations (47.4% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | y | @ | 0 | (*.f64 (pow.f64 y y) (-.f64 1 z)) |
| 0.0ms | y | @ | inf | (*.f64 (pow.f64 y y) (-.f64 1 z)) |
| 0.0ms | z | @ | inf | (*.f64 (pow.f64 y y) (-.f64 1 z)) |
| 0.0ms | y | @ | -inf | (*.f64 (pow.f64 y y) (-.f64 1 z)) |
| 0.0ms | z | @ | 0 | (*.f64 (pow.f64 y y) (-.f64 1 z)) |
| 1× | batch-egg-rewrite |
| 1706× | add-sqr-sqrt |
| 1686× | *-un-lft-identity |
| 1572× | add-cube-cbrt |
| 1554× | add-cbrt-cube |
| 166× | pow1 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 19 |
| 1 | 167 | 19 |
| 2 | 2114 | 19 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (pow.f64 y y) (-.f64 1 z)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 y y) (*.f64 (pow.f64 y y) (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 y y) (*.f64 (neg.f64 z) (pow.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 y y) (-.f64 1 z)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 y y) (-.f64 1 (*.f64 z z))) (+.f64 1 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 y y) (-.f64 1 (pow.f64 z 3))) (+.f64 1 (fma.f64 z z z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (*.f64 z z)) (pow.f64 y y)) (+.f64 1 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 z 3)) (pow.f64 y y)) (+.f64 1 (fma.f64 z z z)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 y y) (-.f64 1 z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (pow.f64 y y) (-.f64 1 z))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (pow.f64 y y) (-.f64 1 z))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (pow.f64 y y) (-.f64 1 z)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (pow.f64 y y) (-.f64 1 z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (-.f64 1 z)) (pow.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 y y) (-.f64 1 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (pow.f64 y y) (-.f64 1 z)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (pow.f64 y y) (-.f64 1 z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (pow.f64 y y) (-.f64 1 z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 y y) (-.f64 1 z))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (pow.f64 y y) (-.f64 1 z)))))))) |
| 1× | egg-herbie |
| 1226× | associate-*r* |
| 1112× | associate-*l* |
| 664× | log-prod |
| 520× | +-commutative |
| 416× | fma-def |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 87 | 1047 |
| 1 | 225 | 1043 |
| 2 | 781 | 1027 |
| 3 | 4407 | 1009 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 1 z) |
(-.f64 (+.f64 (*.f64 y (*.f64 (-.f64 1 z) (log.f64 y))) 1) z) |
(-.f64 (+.f64 (*.f64 y (*.f64 (-.f64 1 z) (log.f64 y))) (+.f64 1 (*.f64 1/2 (*.f64 (pow.f64 y 2) (*.f64 (-.f64 1 z) (pow.f64 (log.f64 y) 2)))))) z) |
(-.f64 (+.f64 (*.f64 y (*.f64 (-.f64 1 z) (log.f64 y))) (+.f64 1 (+.f64 (*.f64 1/6 (*.f64 (pow.f64 y 3) (*.f64 (-.f64 1 z) (pow.f64 (log.f64 y) 3)))) (*.f64 1/2 (*.f64 (pow.f64 y 2) (*.f64 (-.f64 1 z) (pow.f64 (log.f64 y) 2))))))) z) |
(*.f64 (-.f64 1 z) (pow.f64 y y)) |
(*.f64 (-.f64 1 z) (pow.f64 y y)) |
(*.f64 (-.f64 1 z) (pow.f64 y y)) |
(*.f64 (-.f64 1 z) (pow.f64 y y)) |
(*.f64 (-.f64 1 z) (pow.f64 y y)) |
(*.f64 (-.f64 1 z) (pow.f64 y y)) |
(*.f64 (-.f64 1 z) (pow.f64 y y)) |
(*.f64 (-.f64 1 z) (pow.f64 y y)) |
(pow.f64 y y) |
(+.f64 (*.f64 -1 (*.f64 (pow.f64 y y) z)) (pow.f64 y y)) |
(+.f64 (*.f64 -1 (*.f64 (pow.f64 y y) z)) (pow.f64 y y)) |
(+.f64 (*.f64 -1 (*.f64 (pow.f64 y y) z)) (pow.f64 y y)) |
(*.f64 -1 (*.f64 (pow.f64 y y) z)) |
(+.f64 (*.f64 -1 (*.f64 (pow.f64 y y) z)) (pow.f64 y y)) |
(+.f64 (*.f64 -1 (*.f64 (pow.f64 y y) z)) (pow.f64 y y)) |
(+.f64 (*.f64 -1 (*.f64 (pow.f64 y y) z)) (pow.f64 y y)) |
(*.f64 -1 (*.f64 (pow.f64 y y) z)) |
(+.f64 (*.f64 -1 (*.f64 (pow.f64 y y) z)) (pow.f64 y y)) |
(+.f64 (*.f64 -1 (*.f64 (pow.f64 y y) z)) (pow.f64 y y)) |
(+.f64 (*.f64 -1 (*.f64 (pow.f64 y y) z)) (pow.f64 y y)) |
(+.f64 (pow.f64 y y) (*.f64 (pow.f64 y y) (neg.f64 z))) |
(+.f64 (pow.f64 y y) (*.f64 (neg.f64 z) (pow.f64 y y))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 y y) (-.f64 1 z)))) 1) |
(/.f64 (*.f64 (pow.f64 y y) (-.f64 1 (*.f64 z z))) (+.f64 1 z)) |
(/.f64 (*.f64 (pow.f64 y y) (-.f64 1 (pow.f64 z 3))) (+.f64 1 (fma.f64 z z z))) |
(/.f64 (*.f64 (-.f64 1 (*.f64 z z)) (pow.f64 y y)) (+.f64 1 z)) |
(/.f64 (*.f64 (-.f64 1 (pow.f64 z 3)) (pow.f64 y y)) (+.f64 1 (fma.f64 z z z))) |
(pow.f64 (*.f64 (pow.f64 y y) (-.f64 1 z)) 1) |
(pow.f64 (sqrt.f64 (*.f64 (pow.f64 y y) (-.f64 1 z))) 2) |
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 y y) (-.f64 1 z))) 3) |
(pow.f64 (pow.f64 (*.f64 (pow.f64 y y) (-.f64 1 z)) 3) 1/3) |
(sqrt.f64 (pow.f64 (*.f64 (pow.f64 y y) (-.f64 1 z)) 2)) |
(log.f64 (pow.f64 (exp.f64 (-.f64 1 z)) (pow.f64 y y))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 y y) (-.f64 1 z))))) |
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 y y) (-.f64 1 z)) 3)) |
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 y y) (-.f64 1 z)))) |
(exp.f64 (log.f64 (*.f64 (pow.f64 y y) (-.f64 1 z)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 y y) (-.f64 1 z))) 1)) |
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 y y) (-.f64 1 z)))) |
| Outputs |
|---|
(-.f64 1 z) |
(-.f64 (+.f64 (*.f64 y (*.f64 (-.f64 1 z) (log.f64 y))) 1) z) |
(-.f64 (fma.f64 y (*.f64 (-.f64 1 z) (log.f64 y)) 1) z) |
(*.f64 (+.f64 (log.f64 (pow.f64 y y)) 1) (-.f64 1 z)) |
(*.f64 (+.f64 1 (log.f64 (pow.f64 y y))) (-.f64 1 z)) |
(-.f64 (+.f64 (*.f64 y (*.f64 (-.f64 1 z) (log.f64 y))) (+.f64 1 (*.f64 1/2 (*.f64 (pow.f64 y 2) (*.f64 (-.f64 1 z) (pow.f64 (log.f64 y) 2)))))) z) |
(-.f64 (+.f64 (fma.f64 y (*.f64 (-.f64 1 z) (log.f64 y)) 1) (*.f64 (*.f64 1/2 (*.f64 y y)) (*.f64 (-.f64 1 z) (pow.f64 (log.f64 y) 2)))) z) |
(-.f64 (fma.f64 y (*.f64 (-.f64 1 z) (log.f64 y)) (fma.f64 1/2 (*.f64 y (*.f64 y (*.f64 (-.f64 1 z) (pow.f64 (log.f64 y) 2)))) 1)) z) |
(+.f64 (-.f64 1 z) (*.f64 (-.f64 1 z) (+.f64 (*.f64 (*.f64 y y) (*.f64 1/2 (pow.f64 (log.f64 y) 2))) (log.f64 (pow.f64 y y))))) |
(+.f64 1 (-.f64 (*.f64 (*.f64 (-.f64 1 z) (log.f64 y)) (+.f64 (*.f64 (log.f64 y) (*.f64 y (*.f64 y 1/2))) y)) z)) |
(-.f64 (+.f64 (*.f64 y (*.f64 (-.f64 1 z) (log.f64 y))) (+.f64 1 (+.f64 (*.f64 1/6 (*.f64 (pow.f64 y 3) (*.f64 (-.f64 1 z) (pow.f64 (log.f64 y) 3)))) (*.f64 1/2 (*.f64 (pow.f64 y 2) (*.f64 (-.f64 1 z) (pow.f64 (log.f64 y) 2))))))) z) |
(-.f64 (+.f64 (fma.f64 y (*.f64 (-.f64 1 z) (log.f64 y)) 1) (fma.f64 1/6 (*.f64 (pow.f64 y 3) (*.f64 (-.f64 1 z) (pow.f64 (log.f64 y) 3))) (*.f64 (*.f64 1/2 (*.f64 y y)) (*.f64 (-.f64 1 z) (pow.f64 (log.f64 y) 2))))) z) |
(+.f64 (fma.f64 y (*.f64 (-.f64 1 z) (log.f64 y)) 1) (-.f64 (fma.f64 1/2 (*.f64 y (*.f64 y (*.f64 (-.f64 1 z) (pow.f64 (log.f64 y) 2)))) (*.f64 1/6 (*.f64 (-.f64 1 z) (*.f64 (pow.f64 (log.f64 y) 3) (pow.f64 y 3))))) z)) |
(+.f64 (*.f64 (+.f64 (log.f64 (pow.f64 y y)) 1) (-.f64 1 z)) (*.f64 (-.f64 1 z) (+.f64 (*.f64 (*.f64 y y) (*.f64 1/2 (pow.f64 (log.f64 y) 2))) (*.f64 (pow.f64 (log.f64 y) 3) (*.f64 1/6 (pow.f64 y 3)))))) |
(+.f64 (-.f64 1 z) (*.f64 (-.f64 1 z) (+.f64 (log.f64 (pow.f64 y y)) (*.f64 (pow.f64 (log.f64 y) 2) (+.f64 (*.f64 (*.f64 1/6 (pow.f64 y 3)) (log.f64 y)) (*.f64 y (*.f64 y 1/2))))))) |
(*.f64 (-.f64 1 z) (pow.f64 y y)) |
(*.f64 (-.f64 1 z) (pow.f64 y y)) |
(*.f64 (-.f64 1 z) (pow.f64 y y)) |
(*.f64 (-.f64 1 z) (pow.f64 y y)) |
(*.f64 (-.f64 1 z) (pow.f64 y y)) |
(*.f64 (-.f64 1 z) (pow.f64 y y)) |
(*.f64 (-.f64 1 z) (pow.f64 y y)) |
(*.f64 (-.f64 1 z) (pow.f64 y y)) |
(pow.f64 y y) |
(+.f64 (*.f64 -1 (*.f64 (pow.f64 y y) z)) (pow.f64 y y)) |
(*.f64 (-.f64 1 z) (pow.f64 y y)) |
(+.f64 (*.f64 -1 (*.f64 (pow.f64 y y) z)) (pow.f64 y y)) |
(*.f64 (-.f64 1 z) (pow.f64 y y)) |
(+.f64 (*.f64 -1 (*.f64 (pow.f64 y y) z)) (pow.f64 y y)) |
(*.f64 (-.f64 1 z) (pow.f64 y y)) |
(*.f64 -1 (*.f64 (pow.f64 y y) z)) |
(*.f64 (pow.f64 y y) (neg.f64 z)) |
(*.f64 z (neg.f64 (pow.f64 y y))) |
(+.f64 (*.f64 -1 (*.f64 (pow.f64 y y) z)) (pow.f64 y y)) |
(*.f64 (-.f64 1 z) (pow.f64 y y)) |
(+.f64 (*.f64 -1 (*.f64 (pow.f64 y y) z)) (pow.f64 y y)) |
(*.f64 (-.f64 1 z) (pow.f64 y y)) |
(+.f64 (*.f64 -1 (*.f64 (pow.f64 y y) z)) (pow.f64 y y)) |
(*.f64 (-.f64 1 z) (pow.f64 y y)) |
(*.f64 -1 (*.f64 (pow.f64 y y) z)) |
(*.f64 (pow.f64 y y) (neg.f64 z)) |
(*.f64 z (neg.f64 (pow.f64 y y))) |
(+.f64 (*.f64 -1 (*.f64 (pow.f64 y y) z)) (pow.f64 y y)) |
(*.f64 (-.f64 1 z) (pow.f64 y y)) |
(+.f64 (*.f64 -1 (*.f64 (pow.f64 y y) z)) (pow.f64 y y)) |
(*.f64 (-.f64 1 z) (pow.f64 y y)) |
(+.f64 (*.f64 -1 (*.f64 (pow.f64 y y) z)) (pow.f64 y y)) |
(*.f64 (-.f64 1 z) (pow.f64 y y)) |
(+.f64 (pow.f64 y y) (*.f64 (pow.f64 y y) (neg.f64 z))) |
(*.f64 (-.f64 1 z) (pow.f64 y y)) |
(+.f64 (pow.f64 y y) (*.f64 (neg.f64 z) (pow.f64 y y))) |
(*.f64 (-.f64 1 z) (pow.f64 y y)) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 y y) (-.f64 1 z)))) 1) |
(*.f64 (-.f64 1 z) (pow.f64 y y)) |
(/.f64 (*.f64 (pow.f64 y y) (-.f64 1 (*.f64 z z))) (+.f64 1 z)) |
(/.f64 (-.f64 1 (*.f64 z z)) (/.f64 (+.f64 1 z) (pow.f64 y y))) |
(*.f64 (/.f64 (pow.f64 y y) (+.f64 1 z)) (-.f64 1 (*.f64 z z))) |
(*.f64 (pow.f64 y y) (/.f64 (-.f64 1 (*.f64 z z)) (+.f64 1 z))) |
(/.f64 (*.f64 (pow.f64 y y) (-.f64 1 (pow.f64 z 3))) (+.f64 1 (fma.f64 z z z))) |
(/.f64 (-.f64 1 (pow.f64 z 3)) (/.f64 (+.f64 1 (fma.f64 z z z)) (pow.f64 y y))) |
(*.f64 (pow.f64 y y) (/.f64 (-.f64 1 (pow.f64 z 3)) (+.f64 1 (fma.f64 z z z)))) |
(/.f64 (*.f64 (-.f64 1 (*.f64 z z)) (pow.f64 y y)) (+.f64 1 z)) |
(/.f64 (-.f64 1 (*.f64 z z)) (/.f64 (+.f64 1 z) (pow.f64 y y))) |
(*.f64 (/.f64 (pow.f64 y y) (+.f64 1 z)) (-.f64 1 (*.f64 z z))) |
(*.f64 (pow.f64 y y) (/.f64 (-.f64 1 (*.f64 z z)) (+.f64 1 z))) |
(/.f64 (*.f64 (-.f64 1 (pow.f64 z 3)) (pow.f64 y y)) (+.f64 1 (fma.f64 z z z))) |
(/.f64 (*.f64 (pow.f64 y y) (-.f64 1 (pow.f64 z 3))) (+.f64 1 (fma.f64 z z z))) |
(/.f64 (-.f64 1 (pow.f64 z 3)) (/.f64 (+.f64 1 (fma.f64 z z z)) (pow.f64 y y))) |
(*.f64 (pow.f64 y y) (/.f64 (-.f64 1 (pow.f64 z 3)) (+.f64 1 (fma.f64 z z z)))) |
(pow.f64 (*.f64 (pow.f64 y y) (-.f64 1 z)) 1) |
(*.f64 (-.f64 1 z) (pow.f64 y y)) |
(pow.f64 (sqrt.f64 (*.f64 (pow.f64 y y) (-.f64 1 z))) 2) |
(*.f64 (-.f64 1 z) (pow.f64 y y)) |
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 y y) (-.f64 1 z))) 3) |
(*.f64 (-.f64 1 z) (pow.f64 y y)) |
(pow.f64 (pow.f64 (*.f64 (pow.f64 y y) (-.f64 1 z)) 3) 1/3) |
(*.f64 (-.f64 1 z) (pow.f64 y y)) |
(sqrt.f64 (pow.f64 (*.f64 (pow.f64 y y) (-.f64 1 z)) 2)) |
(*.f64 (-.f64 1 z) (pow.f64 y y)) |
(log.f64 (pow.f64 (exp.f64 (-.f64 1 z)) (pow.f64 y y))) |
(*.f64 (-.f64 1 z) (pow.f64 y y)) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 y y) (-.f64 1 z))))) |
(*.f64 (-.f64 1 z) (pow.f64 y y)) |
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 y y) (-.f64 1 z)) 3)) |
(*.f64 (-.f64 1 z) (pow.f64 y y)) |
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 y y) (-.f64 1 z)))) |
(*.f64 (-.f64 1 z) (pow.f64 y y)) |
(exp.f64 (log.f64 (*.f64 (pow.f64 y y) (-.f64 1 z)))) |
(*.f64 (-.f64 1 z) (pow.f64 y y)) |
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 y y) (-.f64 1 z))) 1)) |
(*.f64 (-.f64 1 z) (pow.f64 y y)) |
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 y y) (-.f64 1 z)))) |
(*.f64 (-.f64 1 z) (pow.f64 y y)) |
Compiled 7 to 4 computations (42.9% saved)
Compiled 679 to 382 computations (43.7% saved)
5 alts after pruning (1 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 44 | 1 | 45 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 3 | 3 |
| Total | 44 | 5 | 49 |
| Status | Error | Program |
|---|---|---|
| ✓ | 43.1b | (pow.f64 y y) |
| ▶ | 43.8b | (-.f64 1 z) |
| ✓ | 43.1b | (*.f64 (pow.f64 y y) (-.f64 1 z)) |
| ✓ | 1.1b | (exp.f64 (-.f64 x z)) |
| ✓ | 20.8b | (exp.f64 (neg.f64 z)) |
Compiled 35 to 26 computations (25.7% saved)
Compiled 8 to 6 computations (25% saved)
Compiled 3 to 3 computations (0% saved)
5 alts after pruning (0 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 0 | 0 | 0 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 4 | 4 |
| Total | 0 | 5 | 5 |
| Status | Error | Program |
|---|---|---|
| ✓ | 43.1b | (pow.f64 y y) |
| ✓ | 43.8b | (-.f64 1 z) |
| ✓ | 43.1b | (*.f64 (pow.f64 y y) (-.f64 1 z)) |
| ✓ | 1.1b | (exp.f64 (-.f64 x z)) |
| ✓ | 20.8b | (exp.f64 (neg.f64 z)) |
Compiled 35 to 26 computations (25.7% saved)
| Inputs |
|---|
(-.f64 1 z) |
(exp.f64 (neg.f64 z)) |
(pow.f64 y y) |
(exp.f64 (-.f64 x z)) |
(*.f64 (pow.f64 y y) (-.f64 1 z)) |
(/.f64 (pow.f64 y y) (exp.f64 z)) |
(*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z))) |
(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)) |
| Outputs |
|---|
(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)) |
7 calls:
| 6.0ms | (*.f64 y (log.f64 y)) |
| 6.0ms | (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z) |
| 5.0ms | x |
| 5.0ms | (+.f64 x (*.f64 y (log.f64 y))) |
| 5.0ms | z |
| Error | Segments | Branch |
|---|---|---|
| 0.0b | 1 | x |
| 0.0b | 1 | y |
| 0.0b | 1 | z |
| 0.0b | 1 | (exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)) |
| 0.0b | 1 | (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z) |
| 0.0b | 1 | (+.f64 x (*.f64 y (log.f64 y))) |
| 0.0b | 1 | (*.f64 y (log.f64 y)) |
Compiled 97 to 56 computations (42.3% saved)
| Inputs |
|---|
(-.f64 1 z) |
(exp.f64 (neg.f64 z)) |
(pow.f64 y y) |
(exp.f64 (-.f64 x z)) |
(*.f64 (pow.f64 y y) (-.f64 1 z)) |
(/.f64 (pow.f64 y y) (exp.f64 z)) |
(*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z))) |
| Outputs |
|---|
(*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z))) |
(exp.f64 (-.f64 x z)) |
3 calls:
| 9.0ms | y |
| 5.0ms | z |
| 5.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 1.1b | 1 | x |
| 0b | 2 | y |
| 1.1b | 1 | z |
Compiled 49 to 25 computations (49% saved)
| 1× | binary-search |
| Time | Left | Right |
|---|---|---|
| 17.0ms | 3.9923615749485695 | 396.5765592393157 |
| 13.0ms | 112× | body | 256 | valid |
| 3.0ms | 21× | body | 256 | infinite |
Compiled 158 to 111 computations (29.7% saved)
| Inputs |
|---|
(-.f64 1 z) |
(exp.f64 (neg.f64 z)) |
(pow.f64 y y) |
(exp.f64 (-.f64 x z)) |
(*.f64 (pow.f64 y y) (-.f64 1 z)) |
(/.f64 (pow.f64 y y) (exp.f64 z)) |
| Outputs |
|---|
(exp.f64 (-.f64 x z)) |
3 calls:
| 6.0ms | y |
| 4.0ms | z |
| 4.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 1.1b | 1 | x |
| 1.1b | 1 | y |
| 1.1b | 1 | z |
Compiled 41 to 24 computations (41.5% saved)
Total -23.5b remaining (-113%)
Threshold costs -23.5b (-113%)
| Inputs |
|---|
(-.f64 1 z) |
(exp.f64 (neg.f64 z)) |
(pow.f64 y y) |
| Outputs |
|---|
(exp.f64 (neg.f64 z)) |
3 calls:
| 6.0ms | z |
| 3.0ms | x |
| 3.0ms | y |
| Error | Segments | Branch |
|---|---|---|
| 20.8b | 1 | x |
| 20.8b | 1 | y |
| 20.8b | 1 | z |
Compiled 24 to 17 computations (29.2% saved)
| 1× | egg-herbie |
| 10× | +-commutative |
| 8× | sub-neg |
| 6× | *-commutative |
| 2× | 1-exp |
| 2× | neg-mul-1 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 25 | 97 |
| 1 | 36 | 97 |
| 2 | 41 | 97 |
| 3 | 42 | 97 |
| 1× | done |
| 1× | saturated |
| Inputs |
|---|
(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)) |
(if (<=.f64 y 145) (*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z))) (exp.f64 (-.f64 x z))) |
(exp.f64 (-.f64 x z)) |
(exp.f64 (neg.f64 z)) |
(-.f64 1 z) |
| Outputs |
|---|
(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)) |
(if (<=.f64 y 145) (*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z))) (exp.f64 (-.f64 x z))) |
(exp.f64 (-.f64 x z)) |
(exp.f64 (neg.f64 z)) |
(-.f64 1 z) |
Compiled 50 to 33 computations (34% saved)
| 1× | egg-herbie |
| 1060× | associate-*r/ |
| 920× | associate-/l/ |
| 850× | associate-/r/ |
| 716× | unswap-sqr |
| 614× | associate-*l/ |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 27 |
| 1 | 20 | 23 |
| 2 | 45 | 23 |
| 3 | 88 | 23 |
| 4 | 166 | 23 |
| 5 | 327 | 23 |
| 6 | 1059 | 23 |
| 7 | 2513 | 23 |
| 8 | 5596 | 23 |
| 9 | 6725 | 23 |
| 1× | node limit |
Compiled 58 to 22 computations (62.1% saved)
Compiled 38 to 19 computations (50% saved)
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