Time bar (total: 7.0s)
| 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)
| 1.5s | 8256× | body | 256 | valid |
| 638.0ms | 3180× | body | 256 | infinite |
| 333.0ms | 2405× | body | 256 | invalid |
| 2× | egg-herbie |
| 818× | unswap-sqr_binary64 |
| 576× | times-frac_binary64 |
| 387× | associate-*l*_binary64 |
| 364× | associate-*r*_binary64 |
| 352× | associate-/r/_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 22 | 56 |
| 1 | 55 | 48 |
| 2 | 133 | 48 |
| 3 | 299 | 48 |
| 4 | 540 | 48 |
| 5 | 1226 | 48 |
| 6 | 5004 | 48 |
| 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 z x))) |
(exp.f64 (fma.f64 y (log.f64 y) (-.f64 x z))) |
(exp.f64 (-.f64 (+.f64 y (*.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))) |
(/.f64 (pow.f64 y y) (exp.f64 (-.f64 x z))) |
(exp.f64 (-.f64 (+.f64 x (*.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 |
| 508× | unswap-sqr_binary64 |
| 478× | associate-/l/_binary64 |
| 408× | associate-/r/_binary64 |
| 362× | fma-neg_binary64 |
| 337× | fma-def_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 14 |
| 1 | 18 | 12 |
| 2 | 41 | 12 |
| 3 | 89 | 12 |
| 4 | 157 | 12 |
| 5 | 313 | 12 |
| 6 | 968 | 12 |
| 7 | 2560 | 12 |
| 8 | 5278 | 12 |
| 9 | 5976 | 12 |
| 10 | 7425 | 12 |
| 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))) |
(/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x))) |
Compiled 20 to 12 computations (40% saved)
3 alts after pruning (3 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 0 | 2 | 2 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 0 | 0 |
| Total | 0 | 3 | 3 |
| Status | Error | Program |
|---|---|---|
| ▶ | 14.8b | (/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x))) |
| ▶ | 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 (+.f64 x (*.f64 y (log.f64 y))) z) |
| ✓ | 0.0b | (exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)) |
| ✓ | 0.2b | (*.f64 y (log.f64 y)) |
Compiled 35 to 8 computations (77.1% saved)
21 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 31.0ms | y | @ | 0 | (*.f64 y (log.f64 y)) |
| 19.0ms | y | @ | -inf | (*.f64 y (log.f64 y)) |
| 8.0ms | y | @ | inf | (*.f64 y (log.f64 y)) |
| 3.0ms | x | @ | 0 | (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z) |
| 2.0ms | z | @ | 0 | (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z) |
| 1× | batch-egg-rewrite |
| 513× | fma-def_binary64 |
| 494× | log-prod_binary64 |
| 368× | pow-prod-down_binary64 |
| 271× | pow2_binary64 |
| 255× | fma-neg_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 32 |
| 1 | 195 | 28 |
| 2 | 2874 | 28 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 y (log.f64 y)) |
(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)) |
(-.f64 (+.f64 x (*.f64 y (log.f64 y))) z) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 y (log.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 y y)) 2)) (log.f64 (cbrt.f64 (pow.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 y y))) (log.f64 (sqrt.f64 (pow.f64 y 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 (pow.f64 (*.f64 y (log.f64 y)) 2) 1/2)))) (#(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 (sqrt.f64 (*.f64 y (log.f64 y))) 2)))) (#(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 log1p.f64 (-.f64 (pow.f64 y y) 1))))) (#(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 exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 y (log.f64 y)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 y (log.f64 y)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 y (log.f64 y)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 y (log.f64 y))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 y (log.f64 y))) 3) 1/3)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (exp.f64 (-.f64 (fma.f64 y (log.f64 y) x) z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (exp.f64 (-.f64 (fma.f64 y (log.f64 y) x) z)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (exp.f64 (-.f64 (fma.f64 y (log.f64 y) x) z))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (exp.f64 (-.f64 (fma.f64 y (log.f64 y) x) z))))) (log.f64 (sqrt.f64 (exp.f64 (exp.f64 (-.f64 (fma.f64 y (log.f64 y) x) z))))))))) (#(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 (exp.f64 (-.f64 (fma.f64 y (log.f64 y) x) z)) (pow.f64 (exp.f64 1) (fma.f64 (neg.f64 z) 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 (-.f64 (fma.f64 y (log.f64 y) x) z)) (pow.f64 (exp.f64 1) (fma.f64 (neg.f64 (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) 2) z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 (-.f64 (fma.f64 y (log.f64 y) x) z)) (pow.f64 (exp.f64 1) (+.f64 (neg.f64 z) z)))))) (#(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 (exp.f64 x) (exp.f64 (-.f64 (*.f64 y (log.f64 y)) z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 x) (/.f64 (pow.f64 y y) (exp.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 x) (pow.f64 (exp.f64 1) (*.f64 (-.f64 (*.f64 y (log.f64 y)) z) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (exp.f64 x) (pow.f64 y y)) (exp.f64 (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (exp.f64 x) (pow.f64 y y)) (pow.f64 (exp.f64 1) (*.f64 (neg.f64 z) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 y y) (pow.f64 (exp.f64 1) (-.f64 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 (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 (exp.f64 (neg.f64 z)) (*.f64 (exp.f64 x) (pow.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) (exp.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (exp.f64 1) (*.f64 1/2 (-.f64 (fma.f64 y (log.f64 y) x) z))) (pow.f64 (exp.f64 1) (*.f64 1/2 (-.f64 (fma.f64 y (log.f64 y) x) z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (exp.f64 1) (*.f64 2 (*.f64 1/3 (-.f64 (fma.f64 y (log.f64 y) x) z)))) (pow.f64 (exp.f64 1) (*.f64 1/3 (-.f64 (fma.f64 y (log.f64 y) x) z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (exp.f64 z) (*.f64 (exp.f64 x) (pow.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (exp.f64 x) (pow.f64 y y)) (exp.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (exp.f64 x) (pow.f64 y y))) (neg.f64 (exp.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (exp.f64 1) (exp.f64 (log1p.f64 (-.f64 (fma.f64 y (log.f64 y) x) z)))) (pow.f64 (exp.f64 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (exp.f64 1) (/.f64 (pow.f64 (fma.f64 y (log.f64 y) x) 3) (fma.f64 z (+.f64 x (fma.f64 y (log.f64 y) z)) (pow.f64 (fma.f64 y (log.f64 y) x) 2)))) (pow.f64 (exp.f64 1) (/.f64 (pow.f64 z 3) (fma.f64 z (+.f64 x (fma.f64 y (log.f64 y) z)) (pow.f64 (fma.f64 y (log.f64 y) x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (exp.f64 1) (/.f64 (pow.f64 (fma.f64 y (log.f64 y) x) 2) (+.f64 x (fma.f64 y (log.f64 y) z)))) (pow.f64 (exp.f64 1) (/.f64 (*.f64 z z) (+.f64 x (fma.f64 y (log.f64 y) 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 (pow.f64 (exp.f64 (-.f64 (fma.f64 y (log.f64 y) x) z)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (*.f64 (-.f64 (fma.f64 y (log.f64 y) x) z) 3)) 1/3)))) (#(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 (sqrt.f64 (exp.f64 (-.f64 (fma.f64 y (log.f64 y) x) z))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (cbrt.f64 (-.f64 (fma.f64 y (log.f64 y) x) z))) (pow.f64 (cbrt.f64 (-.f64 (fma.f64 y (log.f64 y) x) z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (-.f64 (pow.f64 (fma.f64 y (log.f64 y) x) 3) (pow.f64 z 3))) (/.f64 1 (fma.f64 z (+.f64 x (fma.f64 y (log.f64 y) z)) (pow.f64 (fma.f64 y (log.f64 y) x) 2))))))) (#(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 pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 (fma.f64 y (log.f64 y) x) z)) 2)) (*.f64 (cbrt.f64 (-.f64 (fma.f64 y (log.f64 y) x) z)) 1))))) (#(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 (sqrt.f64 (-.f64 (fma.f64 y (log.f64 y) x) z))) (*.f64 (sqrt.f64 (-.f64 (fma.f64 y (log.f64 y) x) z)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (-.f64 (pow.f64 (fma.f64 y (log.f64 y) x) 2) (*.f64 z z))) (/.f64 1 (+.f64 x (fma.f64 y (log.f64 y) z))))))) (#(struct:change 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(#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (log.f64 y) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) (-.f64 x z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (log.f64 y) (sqrt.f64 y)) (sqrt.f64 y) (-.f64 x z)))))) |
| 1× | egg-herbie |
| 515× | associate-*l/_binary64 |
| 440× | associate-*r/_binary64 |
| 380× | associate-*l*_binary64 |
| 375× | fma-def_binary64 |
| 333× | associate-*r*_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 83 | 1111 |
| 1 | 252 | 1063 |
| 2 | 718 | 957 |
| 3 | 2930 | 920 |
| 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)) |
(+.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))))))) |
(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 (*.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)) 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 (+.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 (*.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)))))) |
(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 -1 z) (+.f64 (*.f64 y (log.f64 y)) x))) |
(exp.f64 (+.f64 (*.f64 -1 z) (+.f64 (*.f64 y (log.f64 y)) x))) |
(exp.f64 (+.f64 (*.f64 -1 z) (+.f64 (*.f64 y (log.f64 y)) x))) |
(exp.f64 (+.f64 (*.f64 -1 z) (+.f64 (*.f64 y (log.f64 y)) x))) |
(-.f64 (*.f64 y (log.f64 y)) z) |
(-.f64 (+.f64 (*.f64 y (log.f64 y)) x) z) |
(-.f64 (+.f64 (*.f64 y (log.f64 y)) x) z) |
(-.f64 (+.f64 (*.f64 y (log.f64 y)) x) z) |
x |
(-.f64 (+.f64 (*.f64 y (log.f64 y)) x) z) |
(-.f64 (+.f64 (*.f64 y (log.f64 y)) x) z) |
(-.f64 (+.f64 (*.f64 y (log.f64 y)) x) z) |
x |
(-.f64 (+.f64 (*.f64 y (log.f64 y)) x) z) |
(-.f64 (+.f64 (*.f64 y (log.f64 y)) x) z) |
(-.f64 (+.f64 (*.f64 y (log.f64 y)) x) z) |
(-.f64 x z) |
(-.f64 (+.f64 (*.f64 y (log.f64 y)) x) z) |
(-.f64 (+.f64 (*.f64 y (log.f64 y)) x) z) |
(-.f64 (+.f64 (*.f64 y (log.f64 y)) x) z) |
(*.f64 -1 (*.f64 y (log.f64 (/.f64 1 y)))) |
(-.f64 (+.f64 (*.f64 -1 (*.f64 y (log.f64 (/.f64 1 y)))) x) z) |
(-.f64 (+.f64 (*.f64 -1 (*.f64 y (log.f64 (/.f64 1 y)))) x) z) |
(-.f64 (+.f64 (*.f64 -1 (*.f64 y (log.f64 (/.f64 1 y)))) x) z) |
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) y) |
(-.f64 (+.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) y) x) z) |
(-.f64 (+.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) y) x) z) |
(-.f64 (+.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) y) x) z) |
(+.f64 (*.f64 y (log.f64 y)) x) |
(+.f64 (*.f64 -1 z) (+.f64 (*.f64 y (log.f64 y)) x)) |
(+.f64 (*.f64 -1 z) (+.f64 (*.f64 y (log.f64 y)) x)) |
(+.f64 (*.f64 -1 z) (+.f64 (*.f64 y (log.f64 y)) x)) |
(*.f64 -1 z) |
(+.f64 (*.f64 -1 z) (+.f64 (*.f64 y (log.f64 y)) x)) |
(+.f64 (*.f64 -1 z) (+.f64 (*.f64 y (log.f64 y)) x)) |
(+.f64 (*.f64 -1 z) (+.f64 (*.f64 y (log.f64 y)) x)) |
(*.f64 -1 z) |
(+.f64 (*.f64 -1 z) (+.f64 (*.f64 y (log.f64 y)) x)) |
(+.f64 (*.f64 -1 z) (+.f64 (*.f64 y (log.f64 y)) x)) |
(+.f64 (*.f64 -1 z) (+.f64 (*.f64 y (log.f64 y)) x)) |
| 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) |
(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) |
(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) |
(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) |
(neg.f64 (*.f64 y (neg.f64 (log.f64 y)))) |
(*.f64 y (neg.f64 (neg.f64 (log.f64 y)))) |
(*.f64 y (log.f64 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 (pow.f64 y y) (exp.f64 z)) (+.f64 1 x)) |
(+.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) (exp.f64 z)) (*.f64 x x)) (*.f64 (+.f64 x 1) (/.f64 (pow.f64 y y) (exp.f64 z)))) |
(*.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) (+.f64 (+.f64 1 x) (*.f64 x (*.f64 x 1/2)))) |
(+.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) (exp.f64 z)) (*.f64 x x)) (*.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))) |
(fma.f64 (+.f64 1 x) (/.f64 (pow.f64 y y) (exp.f64 z)) (*.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) (+.f64 (*.f64 1/6 (pow.f64 x 3)) (*.f64 x (*.f64 x 1/2))))) |
(*.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) (+.f64 (+.f64 1 x) (*.f64 (*.f64 x x) (+.f64 (*.f64 1/6 x) 1/2)))) |
(exp.f64 (-.f64 (+.f64 (*.f64 y (log.f64 y)) x) z)) |
(exp.f64 (-.f64 (fma.f64 y (log.f64 y) x) z)) |
(*.f64 (pow.f64 y y) (exp.f64 (-.f64 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 (pow.f64 y y) (exp.f64 (-.f64 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 (pow.f64 y y) (exp.f64 (-.f64 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 (pow.f64 y y) (exp.f64 (-.f64 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 (pow.f64 y y) (exp.f64 (-.f64 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 (pow.f64 y y) (exp.f64 (-.f64 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 (pow.f64 y y) (exp.f64 (-.f64 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 (pow.f64 y y) (exp.f64 (-.f64 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 (*.f64 y (log.f64 y)) 1) (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 y y) (*.f64 (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 (*.f64 (*.f64 y y) (pow.f64 (log.f64 y) 2)) (exp.f64 (-.f64 x z))) (fma.f64 y (*.f64 (log.f64 y) (exp.f64 (-.f64 x z))) (exp.f64 (-.f64 x z)))) |
(+.f64 (exp.f64 (-.f64 x z)) (*.f64 (exp.f64 (-.f64 x z)) (+.f64 (*.f64 y (log.f64 y)) (*.f64 (*.f64 y y) (*.f64 1/2 (pow.f64 (log.f64 y) 2)))))) |
(*.f64 (exp.f64 (-.f64 x z)) (+.f64 (+.f64 (*.f64 y (log.f64 y)) 1) (*.f64 1/2 (*.f64 (*.f64 y y) (pow.f64 (log.f64 y) 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 y y) (*.f64 (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 1/6 (*.f64 (*.f64 (pow.f64 y 3) (exp.f64 (-.f64 x z))) (pow.f64 (log.f64 y) 3))))) |
(fma.f64 1/2 (*.f64 (*.f64 (*.f64 y y) (pow.f64 (log.f64 y) 2)) (exp.f64 (-.f64 x z))) (fma.f64 y (*.f64 (log.f64 y) (exp.f64 (-.f64 x z))) (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 1/6 (*.f64 (pow.f64 y 3) (pow.f64 (log.f64 y) 3))) (*.f64 (*.f64 y y) (*.f64 1/2 (pow.f64 (log.f64 y) 2)))))) |
(+.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 (*.f64 (*.f64 1/6 (pow.f64 y 3)) (log.f64 y)) (*.f64 1/2 (*.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 (pow.f64 y y) (exp.f64 (-.f64 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 (pow.f64 y y) (exp.f64 (-.f64 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 (pow.f64 y y) (exp.f64 (-.f64 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 (pow.f64 y y) (exp.f64 (-.f64 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 (pow.f64 y y) (exp.f64 (-.f64 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 (pow.f64 y y) (exp.f64 (-.f64 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 (pow.f64 y y) (exp.f64 (-.f64 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 (pow.f64 y y) (exp.f64 (-.f64 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 z (*.f64 (pow.f64 y y) (exp.f64 x)))) |
(*.f64 (pow.f64 y y) (-.f64 (exp.f64 x) (*.f64 z (exp.f64 x)))) |
(+.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 (*.f64 1/2 (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 (*.f64 (*.f64 z z) (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 z (*.f64 z 1/2)) z))) |
(*.f64 (*.f64 (pow.f64 y y) (exp.f64 x)) (-.f64 (+.f64 (*.f64 1/2 (*.f64 z z)) 1) 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)))))) |
(fma.f64 -1/6 (*.f64 (exp.f64 (fma.f64 y (log.f64 y) x)) (pow.f64 z 3)) (+.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 (*.f64 1/2 (exp.f64 (fma.f64 y (log.f64 y) x))) (*.f64 z z))))) |
(fma.f64 -1/6 (*.f64 (*.f64 (pow.f64 y y) (exp.f64 x)) (pow.f64 z 3)) (fma.f64 (pow.f64 y y) (exp.f64 x) (-.f64 (*.f64 1/2 (*.f64 (*.f64 (*.f64 z z) (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 (*.f64 z (*.f64 z 1/2)) z)) (*.f64 (+.f64 (*.f64 -1/6 (pow.f64 z 3)) 1) (*.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 (*.f64 z z) (+.f64 1/2 (*.f64 -1/6 z))) z))) |
(exp.f64 (-.f64 (+.f64 (*.f64 y (log.f64 y)) x) z)) |
(exp.f64 (-.f64 (fma.f64 y (log.f64 y) x) z)) |
(*.f64 (pow.f64 y y) (exp.f64 (-.f64 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 (pow.f64 y y) (exp.f64 (-.f64 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 (pow.f64 y y) (exp.f64 (-.f64 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 (pow.f64 y y) (exp.f64 (-.f64 x z))) |
(*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y)) |
(exp.f64 (+.f64 (*.f64 -1 z) (+.f64 (*.f64 y (log.f64 y)) x))) |
(exp.f64 (-.f64 (fma.f64 y (log.f64 y) x) z)) |
(*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z))) |
(*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y)) |
(exp.f64 (+.f64 (*.f64 -1 z) (+.f64 (*.f64 y (log.f64 y)) x))) |
(exp.f64 (-.f64 (fma.f64 y (log.f64 y) x) z)) |
(*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z))) |
(*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y)) |
(exp.f64 (+.f64 (*.f64 -1 z) (+.f64 (*.f64 y (log.f64 y)) x))) |
(exp.f64 (-.f64 (fma.f64 y (log.f64 y) x) z)) |
(*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z))) |
(*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y)) |
(exp.f64 (+.f64 (*.f64 -1 z) (+.f64 (*.f64 y (log.f64 y)) x))) |
(exp.f64 (-.f64 (fma.f64 y (log.f64 y) x) z)) |
(*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z))) |
(*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y)) |
(-.f64 (*.f64 y (log.f64 y)) z) |
(-.f64 (+.f64 (*.f64 y (log.f64 y)) x) z) |
(-.f64 (fma.f64 y (log.f64 y) x) z) |
(fma.f64 y (log.f64 y) (-.f64 x z)) |
(-.f64 (+.f64 (*.f64 y (log.f64 y)) x) z) |
(-.f64 (fma.f64 y (log.f64 y) x) z) |
(fma.f64 y (log.f64 y) (-.f64 x z)) |
(-.f64 (+.f64 (*.f64 y (log.f64 y)) x) z) |
(-.f64 (fma.f64 y (log.f64 y) x) z) |
(fma.f64 y (log.f64 y) (-.f64 x z)) |
x |
(-.f64 (+.f64 (*.f64 y (log.f64 y)) x) z) |
(-.f64 (fma.f64 y (log.f64 y) x) z) |
(fma.f64 y (log.f64 y) (-.f64 x z)) |
(-.f64 (+.f64 (*.f64 y (log.f64 y)) x) z) |
(-.f64 (fma.f64 y (log.f64 y) x) z) |
(fma.f64 y (log.f64 y) (-.f64 x z)) |
(-.f64 (+.f64 (*.f64 y (log.f64 y)) x) z) |
(-.f64 (fma.f64 y (log.f64 y) x) z) |
(fma.f64 y (log.f64 y) (-.f64 x z)) |
x |
(-.f64 (+.f64 (*.f64 y (log.f64 y)) x) z) |
(-.f64 (fma.f64 y (log.f64 y) x) z) |
(fma.f64 y (log.f64 y) (-.f64 x z)) |
(-.f64 (+.f64 (*.f64 y (log.f64 y)) x) z) |
(-.f64 (fma.f64 y (log.f64 y) x) z) |
(fma.f64 y (log.f64 y) (-.f64 x z)) |
(-.f64 (+.f64 (*.f64 y (log.f64 y)) x) z) |
(-.f64 (fma.f64 y (log.f64 y) x) z) |
(fma.f64 y (log.f64 y) (-.f64 x z)) |
(-.f64 x z) |
(-.f64 (+.f64 (*.f64 y (log.f64 y)) x) z) |
(-.f64 (fma.f64 y (log.f64 y) x) z) |
(fma.f64 y (log.f64 y) (-.f64 x z)) |
(-.f64 (+.f64 (*.f64 y (log.f64 y)) x) z) |
(-.f64 (fma.f64 y (log.f64 y) x) z) |
(fma.f64 y (log.f64 y) (-.f64 x z)) |
(-.f64 (+.f64 (*.f64 y (log.f64 y)) x) z) |
(-.f64 (fma.f64 y (log.f64 y) x) z) |
(fma.f64 y (log.f64 y) (-.f64 x z)) |
(*.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 (*.f64 y (log.f64 (/.f64 1 y)))) x) z) |
(-.f64 (fma.f64 y (log.f64 y) x) z) |
(fma.f64 y (log.f64 y) (-.f64 x z)) |
(-.f64 (+.f64 (*.f64 -1 (*.f64 y (log.f64 (/.f64 1 y)))) x) z) |
(-.f64 (fma.f64 y (log.f64 y) x) z) |
(fma.f64 y (log.f64 y) (-.f64 x z)) |
(-.f64 (+.f64 (*.f64 -1 (*.f64 y (log.f64 (/.f64 1 y)))) x) z) |
(-.f64 (fma.f64 y (log.f64 y) x) z) |
(fma.f64 y (log.f64 y) (-.f64 x z)) |
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.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 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) y) x) z) |
(-.f64 (fma.f64 y (log.f64 y) x) z) |
(fma.f64 y (log.f64 y) (-.f64 x z)) |
(-.f64 (+.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) y) x) z) |
(-.f64 (fma.f64 y (log.f64 y) x) z) |
(fma.f64 y (log.f64 y) (-.f64 x z)) |
(-.f64 (+.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) y) x) z) |
(-.f64 (fma.f64 y (log.f64 y) x) z) |
(fma.f64 y (log.f64 y) (-.f64 x z)) |
(+.f64 (*.f64 y (log.f64 y)) x) |
(fma.f64 y (log.f64 y) x) |
(+.f64 (*.f64 -1 z) (+.f64 (*.f64 y (log.f64 y)) x)) |
(-.f64 (fma.f64 y (log.f64 y) x) z) |
(fma.f64 y (log.f64 y) (-.f64 x z)) |
(+.f64 (*.f64 -1 z) (+.f64 (*.f64 y (log.f64 y)) x)) |
(-.f64 (fma.f64 y (log.f64 y) x) z) |
(fma.f64 y (log.f64 y) (-.f64 x z)) |
(+.f64 (*.f64 -1 z) (+.f64 (*.f64 y (log.f64 y)) x)) |
(-.f64 (fma.f64 y (log.f64 y) x) z) |
(fma.f64 y (log.f64 y) (-.f64 x z)) |
(*.f64 -1 z) |
(neg.f64 z) |
(+.f64 (*.f64 -1 z) (+.f64 (*.f64 y (log.f64 y)) x)) |
(-.f64 (fma.f64 y (log.f64 y) x) z) |
(fma.f64 y (log.f64 y) (-.f64 x z)) |
(+.f64 (*.f64 -1 z) (+.f64 (*.f64 y (log.f64 y)) x)) |
(-.f64 (fma.f64 y (log.f64 y) x) z) |
(fma.f64 y (log.f64 y) (-.f64 x z)) |
(+.f64 (*.f64 -1 z) (+.f64 (*.f64 y (log.f64 y)) x)) |
(-.f64 (fma.f64 y (log.f64 y) x) z) |
(fma.f64 y (log.f64 y) (-.f64 x z)) |
(*.f64 -1 z) |
(neg.f64 z) |
(+.f64 (*.f64 -1 z) (+.f64 (*.f64 y (log.f64 y)) x)) |
(-.f64 (fma.f64 y (log.f64 y) x) z) |
(fma.f64 y (log.f64 y) (-.f64 x z)) |
(+.f64 (*.f64 -1 z) (+.f64 (*.f64 y (log.f64 y)) x)) |
(-.f64 (fma.f64 y (log.f64 y) x) z) |
(fma.f64 y (log.f64 y) (-.f64 x z)) |
(+.f64 (*.f64 -1 z) (+.f64 (*.f64 y (log.f64 y)) x)) |
(-.f64 (fma.f64 y (log.f64 y) x) z) |
(fma.f64 y (log.f64 y) (-.f64 x z)) |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (exp.f64 (-.f64 z x)) |
| ✓ | 0.8b | (/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x))) |
Compiled 24 to 7 computations (70.8% saved)
15 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 13.0ms | z | @ | inf | (/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x))) |
| 11.0ms | x | @ | inf | (/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x))) |
| 1.0ms | x | @ | -inf | (/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x))) |
| 1.0ms | x | @ | 0 | (/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x))) |
| 1.0ms | y | @ | 0 | (/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x))) |
| 1× | batch-egg-rewrite |
| 487× | prod-diff_binary64 |
| 458× | log-prod_binary64 |
| 273× | pow-prod-down_binary64 |
| 248× | pow2_binary64 |
| 198× | pow-pow_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 18 |
| 1 | 177 | 18 |
| 2 | 2506 | 18 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x))) |
(exp.f64 (-.f64 z x)) |
| Outputs |
|---|
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(fma.f64 y (log.f64 y) (neg.f64 (-.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (fma.f64 y (log.f64 y) (neg.f64 (-.f64 z x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (fma.f64 y (log.f64 y) (neg.f64 (-.f64 z x)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/3 (fma.f64 y (log.f64 y) (neg.f64 (-.f64 z x)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/2 (fma.f64 y (log.f64 y) (neg.f64 (-.f64 z x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 (-.f64 z x) (*.f64 y (log.f64 y))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (fma.f64 y (log.f64 y) (neg.f64 (-.f64 z x))) 1) 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (exp.f64 (-.f64 z x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (exp.f64 (-.f64 z x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (exp.f64 (-.f64 z x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (exp.f64 (-.f64 z x))))) (log.f64 (sqrt.f64 (exp.f64 (exp.f64 (-.f64 z x))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (exp.f64 (-.f64 z x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 (-.f64 z x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 (-.f64 z x)) (pow.f64 (exp.f64 1) (fma.f64 (neg.f64 x) 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 (-.f64 z x)) (pow.f64 (exp.f64 1) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 (-.f64 z x)) (pow.f64 (exp.f64 1) (+.f64 (neg.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x 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egg-rr> (2) ((x /.f64 1 (/.f64 (exp.f64 x) (exp.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (exp.f64 z) (exp.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (exp.f64 z)) (neg.f64 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (exp.f64 1) (exp.f64 (log1p.f64 (-.f64 z x)))) (pow.f64 (exp.f64 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (exp.f64 1) (/.f64 (pow.f64 z 3) (fma.f64 x (+.f64 z x) (*.f64 z z)))) (pow.f64 (exp.f64 1) (/.f64 (pow.f64 x 3) (fma.f64 x (+.f64 z x) (*.f64 z z)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (exp.f64 1) (/.f64 (*.f64 z z) (+.f64 z x))) (pow.f64 (exp.f64 1) (/.f64 (*.f64 x x) (+.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (-.f64 z x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (-.f64 z x)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (-.f64 z x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (exp.f64 (-.f64 z x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (exp.f64 (-.f64 z x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 z x)) 2)) (cbrt.f64 (-.f64 z x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 z x)) 2)) (*.f64 (cbrt.f64 (-.f64 z x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (+.f64 z x)) (-.f64 z x)) (/.f64 1 (+.f64 z x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (-.f64 z x))) (sqrt.f64 (-.f64 z x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (-.f64 z x))) (*.f64 (sqrt.f64 (-.f64 z x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (-.f64 (pow.f64 z 3) (pow.f64 x 3))) (/.f64 1 (fma.f64 x (+.f64 z x) (*.f64 z z))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (-.f64 z x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (cbrt.f64 (-.f64 z x))) (pow.f64 (cbrt.f64 (-.f64 z x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 1 (expm1.f64 (-.f64 z x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (exp.f64 x) (exp.f64 z)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 1) 1) (-.f64 z x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 z x)) 2)) 1) (cbrt.f64 (-.f64 z x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 z x)) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 z x)) 2))) (cbrt.f64 (cbrt.f64 (-.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 z x)) 2)) (cbrt.f64 (sqrt.f64 (-.f64 z x)))) (cbrt.f64 (sqrt.f64 (-.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 z x)) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 z x))) 2)) (cbrt.f64 (cbrt.f64 (-.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 z x)) 2)) (sqrt.f64 (cbrt.f64 (-.f64 z x)))) (sqrt.f64 (cbrt.f64 (-.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (-.f64 z x))) 1) (sqrt.f64 (-.f64 z x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (-.f64 z x))) (cbrt.f64 (-.f64 z x))) (cbrt.f64 (sqrt.f64 (-.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (-.f64 z x))) (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 z x)) 2))) (sqrt.f64 (cbrt.f64 (-.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (-.f64 z x))) (sqrt.f64 (sqrt.f64 (-.f64 z x)))) (sqrt.f64 (sqrt.f64 (-.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 1) (cbrt.f64 (-.f64 z x))) (pow.f64 (cbrt.f64 (-.f64 z x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 1) (pow.f64 (cbrt.f64 (-.f64 z x)) 2)) (cbrt.f64 (-.f64 z x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 1) (sqrt.f64 (-.f64 z x))) (sqrt.f64 (-.f64 z x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 1) (-.f64 (pow.f64 z 3) (pow.f64 x 3))) (/.f64 1 (fma.f64 x (+.f64 z x) (*.f64 z z))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 1) (-.f64 (*.f64 z z) (*.f64 x x))) (/.f64 1 (+.f64 z x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 1) (+.f64 (sqrt.f64 z) (sqrt.f64 x))) (-.f64 (sqrt.f64 z) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (exp.f64 (-.f64 z x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (exp.f64 (-.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (exp.f64 (-.f64 z x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (exp.f64 (-.f64 z x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (exp.f64 (-.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (exp.f64 (-.f64 z x)))))))) |
| 1× | egg-herbie |
| 655× | fma-def_binary64 |
| 552× | associate-*r*_binary64 |
| 532× | associate-*l*_binary64 |
| 365× | unsub-neg_binary64 |
| 261× | associate-/l*_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 109 | 849 |
| 1 | 356 | 760 |
| 2 | 1306 | 640 |
| 3 | 7477 | 638 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 1 (exp.f64 (-.f64 z x))) |
(+.f64 (/.f64 1 (exp.f64 (-.f64 z x))) (/.f64 (*.f64 y (log.f64 y)) (exp.f64 (-.f64 z x)))) |
(+.f64 (/.f64 1 (exp.f64 (-.f64 z x))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 y 2) (pow.f64 (log.f64 y) 2)) (exp.f64 (-.f64 z x)))) (/.f64 (*.f64 y (log.f64 y)) (exp.f64 (-.f64 z x))))) |
(+.f64 (/.f64 1 (exp.f64 (-.f64 z x))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 y 2) (pow.f64 (log.f64 y) 2)) (exp.f64 (-.f64 z x)))) (+.f64 (/.f64 (*.f64 y (log.f64 y)) (exp.f64 (-.f64 z x))) (*.f64 1/6 (/.f64 (*.f64 (pow.f64 y 3) (pow.f64 (log.f64 y) 3)) (exp.f64 (-.f64 z x))))))) |
(/.f64 (pow.f64 y y) (exp.f64 (neg.f64 x))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 y y) z) (exp.f64 (neg.f64 x)))) (/.f64 (pow.f64 y y) (exp.f64 (neg.f64 x)))) |
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 y y) (exp.f64 (neg.f64 x)))) (*.f64 -1 (/.f64 (pow.f64 y y) (exp.f64 (neg.f64 x))))) (pow.f64 z 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 y y) z) (exp.f64 (neg.f64 x)))) (/.f64 (pow.f64 y y) (exp.f64 (neg.f64 x))))) |
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 y y) (exp.f64 (neg.f64 x)))) (*.f64 -1 (/.f64 (pow.f64 y y) (exp.f64 (neg.f64 x))))) (pow.f64 z 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 y y) z) (exp.f64 (neg.f64 x)))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 z 3) (+.f64 (*.f64 -1 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 y y) (exp.f64 (neg.f64 x)))) (*.f64 -1 (/.f64 (pow.f64 y y) (exp.f64 (neg.f64 x)))))) (+.f64 (*.f64 1/6 (/.f64 (pow.f64 y y) (exp.f64 (neg.f64 x)))) (*.f64 -1/2 (/.f64 (pow.f64 y y) (exp.f64 (neg.f64 x)))))))) (/.f64 (pow.f64 y y) (exp.f64 (neg.f64 x)))))) |
(/.f64 (pow.f64 y y) (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) x)))) |
(/.f64 (pow.f64 y y) (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) x)))) |
(/.f64 (pow.f64 y y) (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) x)))) |
(/.f64 (pow.f64 y y) (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) x)))) |
(/.f64 (pow.f64 y y) (exp.f64 z)) |
(+.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) (/.f64 (*.f64 (pow.f64 y y) x) (exp.f64 z))) |
(+.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) (+.f64 (/.f64 (*.f64 (pow.f64 y y) x) (exp.f64 z)) (*.f64 -1 (*.f64 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 y y) (exp.f64 z))) (*.f64 -1 (/.f64 (pow.f64 y y) (exp.f64 z)))) (pow.f64 x 2))))) |
(+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) (+.f64 (*.f64 -1/6 (/.f64 (pow.f64 y y) (exp.f64 z))) (*.f64 -1 (/.f64 (pow.f64 y y) (exp.f64 z))))) (pow.f64 x 3))) (+.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) (+.f64 (/.f64 (*.f64 (pow.f64 y y) x) (exp.f64 z)) (*.f64 -1 (*.f64 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 y y) (exp.f64 z))) (*.f64 -1 (/.f64 (pow.f64 y y) (exp.f64 z)))) (pow.f64 x 2)))))) |
(/.f64 (pow.f64 y y) (exp.f64 (+.f64 (*.f64 -1 x) z))) |
(/.f64 (pow.f64 y y) (exp.f64 (+.f64 (*.f64 -1 x) z))) |
(/.f64 (pow.f64 y y) (exp.f64 (+.f64 (*.f64 -1 x) z))) |
(/.f64 (pow.f64 y y) (exp.f64 (+.f64 (*.f64 -1 x) z))) |
(exp.f64 (neg.f64 x)) |
(+.f64 (exp.f64 (neg.f64 x)) (*.f64 (exp.f64 (neg.f64 x)) z)) |
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 (*.f64 1/2 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 z 2))) (*.f64 (exp.f64 (neg.f64 x)) z))) |
(+.f64 (*.f64 1/6 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 z 3))) (+.f64 (exp.f64 (neg.f64 x)) (+.f64 (*.f64 1/2 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 z 2))) (*.f64 (exp.f64 (neg.f64 x)) z)))) |
(exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) x))) |
(exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) x))) |
(exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) x))) |
(exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) x))) |
(exp.f64 z) |
(+.f64 (exp.f64 z) (*.f64 -1 (*.f64 (exp.f64 z) x))) |
(+.f64 (*.f64 1/2 (*.f64 (exp.f64 z) (pow.f64 x 2))) (+.f64 (exp.f64 z) (*.f64 -1 (*.f64 (exp.f64 z) x)))) |
(+.f64 (*.f64 1/2 (*.f64 (exp.f64 z) (pow.f64 x 2))) (+.f64 (exp.f64 z) (+.f64 (*.f64 -1 (*.f64 (exp.f64 z) x)) (*.f64 -1/6 (*.f64 (exp.f64 z) (pow.f64 x 3)))))) |
(exp.f64 (+.f64 (*.f64 -1 x) z)) |
(exp.f64 (+.f64 (*.f64 -1 x) z)) |
(exp.f64 (+.f64 (*.f64 -1 x) z)) |
(exp.f64 (+.f64 (*.f64 -1 x) z)) |
| Outputs |
|---|
(/.f64 1 (exp.f64 (-.f64 z x))) |
(exp.f64 (neg.f64 (-.f64 z x))) |
(exp.f64 (-.f64 x z)) |
(+.f64 (/.f64 1 (exp.f64 (-.f64 z x))) (/.f64 (*.f64 y (log.f64 y)) (exp.f64 (-.f64 z x)))) |
(+.f64 (exp.f64 (neg.f64 (-.f64 z x))) (/.f64 y (/.f64 (exp.f64 (-.f64 z x)) (log.f64 y)))) |
(+.f64 (exp.f64 (neg.f64 (-.f64 z x))) (/.f64 (*.f64 y (log.f64 y)) (exp.f64 (-.f64 z x)))) |
(fma.f64 (/.f64 y (exp.f64 (-.f64 z x))) (log.f64 y) (exp.f64 (-.f64 x z))) |
(+.f64 (/.f64 1 (exp.f64 (-.f64 z x))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 y 2) (pow.f64 (log.f64 y) 2)) (exp.f64 (-.f64 z x)))) (/.f64 (*.f64 y (log.f64 y)) (exp.f64 (-.f64 z x))))) |
(+.f64 (exp.f64 (neg.f64 (-.f64 z x))) (fma.f64 1/2 (/.f64 (*.f64 y y) (/.f64 (exp.f64 (-.f64 z x)) (pow.f64 (log.f64 y) 2))) (/.f64 y (/.f64 (exp.f64 (-.f64 z x)) (log.f64 y))))) |
(+.f64 (exp.f64 (neg.f64 (-.f64 z x))) (fma.f64 1/2 (*.f64 (/.f64 (*.f64 y y) (exp.f64 (-.f64 z x))) (pow.f64 (log.f64 y) 2)) (/.f64 (*.f64 y (log.f64 y)) (exp.f64 (-.f64 z x))))) |
(fma.f64 1/2 (*.f64 (pow.f64 (log.f64 y) 2) (/.f64 y (/.f64 (exp.f64 (-.f64 z x)) y))) (fma.f64 (/.f64 y (exp.f64 (-.f64 z x))) (log.f64 y) (exp.f64 (-.f64 x z)))) |
(+.f64 (/.f64 1 (exp.f64 (-.f64 z x))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 y 2) (pow.f64 (log.f64 y) 2)) (exp.f64 (-.f64 z x)))) (+.f64 (/.f64 (*.f64 y (log.f64 y)) (exp.f64 (-.f64 z x))) (*.f64 1/6 (/.f64 (*.f64 (pow.f64 y 3) (pow.f64 (log.f64 y) 3)) (exp.f64 (-.f64 z x))))))) |
(+.f64 (exp.f64 (neg.f64 (-.f64 z x))) (+.f64 (fma.f64 1/2 (/.f64 (*.f64 y y) (/.f64 (exp.f64 (-.f64 z x)) (pow.f64 (log.f64 y) 2))) (/.f64 y (/.f64 (exp.f64 (-.f64 z x)) (log.f64 y)))) (*.f64 1/6 (/.f64 (*.f64 (pow.f64 y 3) (pow.f64 (log.f64 y) 3)) (exp.f64 (-.f64 z x)))))) |
(+.f64 (exp.f64 (neg.f64 (-.f64 z x))) (fma.f64 1/2 (*.f64 (/.f64 (*.f64 y y) (exp.f64 (-.f64 z x))) (pow.f64 (log.f64 y) 2)) (fma.f64 1/6 (/.f64 (pow.f64 (log.f64 y) 3) (/.f64 (exp.f64 (-.f64 z x)) (pow.f64 y 3))) (/.f64 (*.f64 y (log.f64 y)) (exp.f64 (-.f64 z x)))))) |
(+.f64 (fma.f64 (/.f64 y (exp.f64 (-.f64 z x))) (log.f64 y) (exp.f64 (-.f64 x z))) (fma.f64 1/6 (*.f64 (/.f64 (pow.f64 (log.f64 y) 3) (exp.f64 (-.f64 z x))) (pow.f64 y 3)) (/.f64 1/2 (/.f64 (exp.f64 (-.f64 z x)) (*.f64 y (*.f64 y (pow.f64 (log.f64 y) 2))))))) |
(/.f64 (pow.f64 y y) (exp.f64 (neg.f64 x))) |
(*.f64 (pow.f64 y y) (exp.f64 x)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 y y) z) (exp.f64 (neg.f64 x)))) (/.f64 (pow.f64 y y) (exp.f64 (neg.f64 x)))) |
(fma.f64 -1 (/.f64 (pow.f64 y y) (/.f64 (exp.f64 (neg.f64 x)) z)) (/.f64 (pow.f64 y y) (exp.f64 (neg.f64 x)))) |
(-.f64 (/.f64 (pow.f64 y y) (exp.f64 (neg.f64 x))) (/.f64 z (/.f64 (exp.f64 (neg.f64 x)) (pow.f64 y y)))) |
(*.f64 (exp.f64 x) (-.f64 (pow.f64 y y) (*.f64 z (pow.f64 y y)))) |
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 y y) (exp.f64 (neg.f64 x)))) (*.f64 -1 (/.f64 (pow.f64 y y) (exp.f64 (neg.f64 x))))) (pow.f64 z 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 y y) z) (exp.f64 (neg.f64 x)))) (/.f64 (pow.f64 y y) (exp.f64 (neg.f64 x))))) |
(fma.f64 -1 (*.f64 (/.f64 (*.f64 -1/2 (pow.f64 y y)) (exp.f64 (neg.f64 x))) (*.f64 z z)) (fma.f64 -1 (/.f64 (pow.f64 y y) (/.f64 (exp.f64 (neg.f64 x)) z)) (/.f64 (pow.f64 y y) (exp.f64 (neg.f64 x))))) |
(fma.f64 (*.f64 1/2 (/.f64 (pow.f64 y y) (exp.f64 (neg.f64 x)))) (*.f64 z z) (-.f64 (/.f64 (pow.f64 y y) (exp.f64 (neg.f64 x))) (/.f64 z (/.f64 (exp.f64 (neg.f64 x)) (pow.f64 y y))))) |
(-.f64 (*.f64 (pow.f64 y y) (exp.f64 x)) (*.f64 (*.f64 (pow.f64 y y) (exp.f64 x)) (+.f64 (*.f64 z (*.f64 z -1/2)) z))) |
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 y y) (exp.f64 (neg.f64 x)))) (*.f64 -1 (/.f64 (pow.f64 y y) (exp.f64 (neg.f64 x))))) (pow.f64 z 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 y y) z) (exp.f64 (neg.f64 x)))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 z 3) (+.f64 (*.f64 -1 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 y y) (exp.f64 (neg.f64 x)))) (*.f64 -1 (/.f64 (pow.f64 y y) (exp.f64 (neg.f64 x)))))) (+.f64 (*.f64 1/6 (/.f64 (pow.f64 y y) (exp.f64 (neg.f64 x)))) (*.f64 -1/2 (/.f64 (pow.f64 y y) (exp.f64 (neg.f64 x)))))))) (/.f64 (pow.f64 y y) (exp.f64 (neg.f64 x)))))) |
(fma.f64 -1 (*.f64 (/.f64 (*.f64 -1/2 (pow.f64 y y)) (exp.f64 (neg.f64 x))) (*.f64 z z)) (fma.f64 -1 (/.f64 (pow.f64 y y) (/.f64 (exp.f64 (neg.f64 x)) z)) (fma.f64 -1 (*.f64 (pow.f64 z 3) (fma.f64 -1 (/.f64 (*.f64 -1/2 (pow.f64 y y)) (exp.f64 (neg.f64 x))) (*.f64 (/.f64 (pow.f64 y y) (exp.f64 (neg.f64 x))) -1/3))) (/.f64 (pow.f64 y y) (exp.f64 (neg.f64 x)))))) |
(fma.f64 (*.f64 1/2 (/.f64 (pow.f64 y y) (exp.f64 (neg.f64 x)))) (*.f64 z z) (-.f64 (-.f64 (/.f64 (pow.f64 y y) (exp.f64 (neg.f64 x))) (*.f64 (pow.f64 z 3) (fma.f64 (/.f64 (pow.f64 y y) (exp.f64 (neg.f64 x))) -1/3 (*.f64 1/2 (/.f64 (pow.f64 y y) (exp.f64 (neg.f64 x))))))) (/.f64 z (/.f64 (exp.f64 (neg.f64 x)) (pow.f64 y y))))) |
(-.f64 (-.f64 (*.f64 (pow.f64 y y) (exp.f64 x)) (*.f64 1/6 (*.f64 (*.f64 (pow.f64 z 3) (pow.f64 y y)) (exp.f64 x)))) (*.f64 (*.f64 (pow.f64 y y) (exp.f64 x)) (+.f64 (*.f64 z (*.f64 z -1/2)) z))) |
(/.f64 (pow.f64 y y) (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) x)))) |
(/.f64 (pow.f64 y y) (exp.f64 (neg.f64 (fma.f64 -1 z x)))) |
(/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x))) |
(*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y)) |
(/.f64 (pow.f64 y y) (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) x)))) |
(/.f64 (pow.f64 y y) (exp.f64 (neg.f64 (fma.f64 -1 z x)))) |
(/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x))) |
(*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y)) |
(/.f64 (pow.f64 y y) (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) x)))) |
(/.f64 (pow.f64 y y) (exp.f64 (neg.f64 (fma.f64 -1 z x)))) |
(/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x))) |
(*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y)) |
(/.f64 (pow.f64 y y) (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) x)))) |
(/.f64 (pow.f64 y y) (exp.f64 (neg.f64 (fma.f64 -1 z x)))) |
(/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x))) |
(*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y)) |
(/.f64 (pow.f64 y y) (exp.f64 z)) |
(+.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) (/.f64 (*.f64 (pow.f64 y y) x) (exp.f64 z))) |
(+.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) (/.f64 (pow.f64 y y) (/.f64 (exp.f64 z) x))) |
(+.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) (/.f64 x (/.f64 (exp.f64 z) (pow.f64 y y)))) |
(fma.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) x (/.f64 (pow.f64 y y) (exp.f64 z))) |
(+.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) (+.f64 (/.f64 (*.f64 (pow.f64 y y) x) (exp.f64 z)) (*.f64 -1 (*.f64 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 y y) (exp.f64 z))) (*.f64 -1 (/.f64 (pow.f64 y y) (exp.f64 z)))) (pow.f64 x 2))))) |
(+.f64 (+.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) (/.f64 (pow.f64 y y) (/.f64 (exp.f64 z) x))) (neg.f64 (*.f64 (*.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) -1/2) (*.f64 x x)))) |
(+.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) (-.f64 (/.f64 x (/.f64 (exp.f64 z) (pow.f64 y y))) (*.f64 (/.f64 (*.f64 (pow.f64 y y) -1/2) (exp.f64 z)) (*.f64 x x)))) |
(+.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) (*.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) (-.f64 x (*.f64 -1/2 (*.f64 x x))))) |
(+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) (+.f64 (*.f64 -1/6 (/.f64 (pow.f64 y y) (exp.f64 z))) (*.f64 -1 (/.f64 (pow.f64 y y) (exp.f64 z))))) (pow.f64 x 3))) (+.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) (+.f64 (/.f64 (*.f64 (pow.f64 y y) x) (exp.f64 z)) (*.f64 -1 (*.f64 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 y y) (exp.f64 z))) (*.f64 -1 (/.f64 (pow.f64 y y) (exp.f64 z)))) (pow.f64 x 2)))))) |
(fma.f64 -1 (*.f64 (+.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) (*.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) -7/6)) (pow.f64 x 3)) (+.f64 (+.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) (/.f64 (pow.f64 y y) (/.f64 (exp.f64 z) x))) (neg.f64 (*.f64 (*.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) -1/2) (*.f64 x x))))) |
(-.f64 (+.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) (-.f64 (/.f64 x (/.f64 (exp.f64 z) (pow.f64 y y))) (*.f64 (/.f64 (*.f64 (pow.f64 y y) -1/2) (exp.f64 z)) (*.f64 x x)))) (*.f64 (fma.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) -7/6 (/.f64 (pow.f64 y y) (exp.f64 z))) (pow.f64 x 3))) |
(+.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) (-.f64 (*.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) (-.f64 x (*.f64 -1/2 (*.f64 x x)))) (*.f64 (*.f64 (/.f64 -1/6 (exp.f64 z)) (pow.f64 y y)) (pow.f64 x 3)))) |
(/.f64 (pow.f64 y y) (exp.f64 (+.f64 (*.f64 -1 x) z))) |
(/.f64 (pow.f64 y y) (exp.f64 (neg.f64 (fma.f64 -1 z x)))) |
(/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x))) |
(*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y)) |
(/.f64 (pow.f64 y y) (exp.f64 (+.f64 (*.f64 -1 x) z))) |
(/.f64 (pow.f64 y y) (exp.f64 (neg.f64 (fma.f64 -1 z x)))) |
(/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x))) |
(*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y)) |
(/.f64 (pow.f64 y y) (exp.f64 (+.f64 (*.f64 -1 x) z))) |
(/.f64 (pow.f64 y y) (exp.f64 (neg.f64 (fma.f64 -1 z x)))) |
(/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x))) |
(*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y)) |
(/.f64 (pow.f64 y y) (exp.f64 (+.f64 (*.f64 -1 x) z))) |
(/.f64 (pow.f64 y y) (exp.f64 (neg.f64 (fma.f64 -1 z x)))) |
(/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x))) |
(*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y)) |
(exp.f64 (neg.f64 x)) |
(+.f64 (exp.f64 (neg.f64 x)) (*.f64 (exp.f64 (neg.f64 x)) z)) |
(+.f64 (exp.f64 (neg.f64 x)) (*.f64 z (exp.f64 (neg.f64 x)))) |
(*.f64 (+.f64 z 1) (exp.f64 (neg.f64 x))) |
(/.f64 (+.f64 1 z) (exp.f64 x)) |
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 (*.f64 1/2 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 z 2))) (*.f64 (exp.f64 (neg.f64 x)) z))) |
(+.f64 (exp.f64 (neg.f64 x)) (fma.f64 1/2 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 z z)) (*.f64 z (exp.f64 (neg.f64 x))))) |
(+.f64 (exp.f64 (neg.f64 x)) (fma.f64 1/2 (*.f64 z (/.f64 z (exp.f64 x))) (/.f64 z (exp.f64 x)))) |
(*.f64 (exp.f64 (neg.f64 x)) (+.f64 (+.f64 1 z) (*.f64 z (*.f64 z 1/2)))) |
(+.f64 (*.f64 1/6 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 z 3))) (+.f64 (exp.f64 (neg.f64 x)) (+.f64 (*.f64 1/2 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 z 2))) (*.f64 (exp.f64 (neg.f64 x)) z)))) |
(fma.f64 1/6 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 z 3)) (+.f64 (exp.f64 (neg.f64 x)) (fma.f64 1/2 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 z z)) (*.f64 z (exp.f64 (neg.f64 x)))))) |
(+.f64 (fma.f64 1/2 (*.f64 z (/.f64 z (exp.f64 x))) (/.f64 z (exp.f64 x))) (fma.f64 (/.f64 1/6 (exp.f64 x)) (pow.f64 z 3) (exp.f64 (neg.f64 x)))) |
(fma.f64 1/6 (/.f64 (pow.f64 z 3) (exp.f64 x)) (*.f64 (exp.f64 (neg.f64 x)) (+.f64 (+.f64 1 z) (*.f64 z (*.f64 z 1/2))))) |
(exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) x))) |
(exp.f64 (neg.f64 (fma.f64 -1 z x))) |
(exp.f64 (-.f64 z x)) |
(exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) x))) |
(exp.f64 (neg.f64 (fma.f64 -1 z x))) |
(exp.f64 (-.f64 z x)) |
(exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) x))) |
(exp.f64 (neg.f64 (fma.f64 -1 z x))) |
(exp.f64 (-.f64 z x)) |
(exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) x))) |
(exp.f64 (neg.f64 (fma.f64 -1 z x))) |
(exp.f64 (-.f64 z x)) |
(exp.f64 z) |
(+.f64 (exp.f64 z) (*.f64 -1 (*.f64 (exp.f64 z) x))) |
(+.f64 (exp.f64 z) (neg.f64 (*.f64 x (exp.f64 z)))) |
(-.f64 (exp.f64 z) (*.f64 x (exp.f64 z))) |
(fma.f64 x (neg.f64 (exp.f64 z)) (exp.f64 z)) |
(+.f64 (*.f64 1/2 (*.f64 (exp.f64 z) (pow.f64 x 2))) (+.f64 (exp.f64 z) (*.f64 -1 (*.f64 (exp.f64 z) x)))) |
(fma.f64 1/2 (*.f64 (exp.f64 z) (*.f64 x x)) (+.f64 (exp.f64 z) (neg.f64 (*.f64 x (exp.f64 z))))) |
(-.f64 (fma.f64 1/2 (*.f64 x (*.f64 x (exp.f64 z))) (exp.f64 z)) (*.f64 x (exp.f64 z))) |
(+.f64 (exp.f64 z) (*.f64 (exp.f64 z) (+.f64 (*.f64 (*.f64 1/2 x) x) (neg.f64 x)))) |
(+.f64 (exp.f64 z) (*.f64 (exp.f64 z) (-.f64 (*.f64 (*.f64 1/2 x) x) x))) |
(+.f64 (*.f64 1/2 (*.f64 (exp.f64 z) (pow.f64 x 2))) (+.f64 (exp.f64 z) (+.f64 (*.f64 -1 (*.f64 (exp.f64 z) x)) (*.f64 -1/6 (*.f64 (exp.f64 z) (pow.f64 x 3)))))) |
(fma.f64 1/2 (*.f64 (exp.f64 z) (*.f64 x x)) (+.f64 (exp.f64 z) (fma.f64 -1 (*.f64 x (exp.f64 z)) (*.f64 -1/6 (*.f64 (exp.f64 z) (pow.f64 x 3)))))) |
(+.f64 (-.f64 (fma.f64 1/2 (*.f64 x (*.f64 x (exp.f64 z))) (exp.f64 z)) (*.f64 x (exp.f64 z))) (*.f64 (exp.f64 z) (*.f64 (pow.f64 x 3) -1/6))) |
(+.f64 (exp.f64 z) (fma.f64 1/2 (*.f64 (exp.f64 z) (*.f64 x x)) (*.f64 (exp.f64 z) (-.f64 (*.f64 -1/6 (pow.f64 x 3)) x)))) |
(+.f64 (fma.f64 (exp.f64 z) (*.f64 -1/6 (pow.f64 x 3)) (exp.f64 z)) (*.f64 (exp.f64 z) (-.f64 (*.f64 (*.f64 1/2 x) x) x))) |
(exp.f64 (+.f64 (*.f64 -1 x) z)) |
(exp.f64 (neg.f64 (fma.f64 -1 z x))) |
(exp.f64 (-.f64 z x)) |
(exp.f64 (+.f64 (*.f64 -1 x) z)) |
(exp.f64 (neg.f64 (fma.f64 -1 z x))) |
(exp.f64 (-.f64 z x)) |
(exp.f64 (+.f64 (*.f64 -1 x) z)) |
(exp.f64 (neg.f64 (fma.f64 -1 z x))) |
(exp.f64 (-.f64 z x)) |
(exp.f64 (+.f64 (*.f64 -1 x) z)) |
(exp.f64 (neg.f64 (fma.f64 -1 z x))) |
(exp.f64 (-.f64 z x)) |
Compiled 7034 to 2240 computations (68.2% saved)
5 alts after pruning (5 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 412 | 5 | 417 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 1 | 0 | 1 |
| Total | 414 | 5 | 419 |
| Status | Error | Program |
|---|---|---|
| ▶ | 20.3b | (exp.f64 x) |
| ▶ | 0.7b | (exp.f64 (-.f64 x z)) |
| ▶ | 26.6b | (/.f64 (pow.f64 y y) (exp.f64 z)) |
| ▶ | 18.7b | (exp.f64 (neg.f64 z)) |
| ▶ | 29.2b | (/.f64 (pow.f64 y y) (/.f64 (+.f64 1 z) (exp.f64 x))) |
Compiled 80 to 58 computations (27.5% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (exp.f64 (-.f64 x z)) |
Compiled 12 to 5 computations (58.3% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (exp.f64 (-.f64 x z)) |
| 1.0ms | z | @ | 0 | (exp.f64 (-.f64 x z)) |
| 1.0ms | z | @ | -inf | (exp.f64 (-.f64 x z)) |
| 0.0ms | x | @ | -inf | (exp.f64 (-.f64 x z)) |
| 0.0ms | z | @ | inf | (exp.f64 (-.f64 x z)) |
| 1× | batch-egg-rewrite |
| 601× | pow1_binary64 |
| 559× | add-log-exp_binary64 |
| 559× | log1p-expm1-u_binary64 |
| 559× | expm1-log1p-u_binary64 |
| 546× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5 | 6 |
| 1 | 107 | 6 |
| 2 | 1489 | 6 |
| 1× | node limit |
| Inputs |
|---|
(exp.f64 (-.f64 x z)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (expm1.f64 (-.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (exp.f64 (-.f64 x z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 (-.f64 x z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (exp.f64 (-.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 x) (exp.f64 (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (exp.f64 (-.f64 x z))) (pow.f64 (cbrt.f64 (exp.f64 (-.f64 x z))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 x z))) 2) (cbrt.f64 (exp.f64 (-.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (exp.f64 (-.f64 x z))) (sqrt.f64 (exp.f64 (-.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (exp.f64 z) (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (exp.f64 x) (exp.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (exp.f64 x)) (neg.f64 (exp.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (-.f64 x z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (-.f64 x z)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (exp.f64 (-.f64 x z))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (exp.f64 (-.f64 x z))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (-.f64 x z))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (-.f64 x z))) (sqrt.f64 (-.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 x z)) 2)) (cbrt.f64 (-.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (exp.f64 (-.f64 x z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (exp.f64 (-.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (exp.f64 (-.f64 x z)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (exp.f64 (-.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (exp.f64 (-.f64 x z)))))))) |
| 1× | egg-herbie |
| 737× | unsub-neg_binary64 |
| 719× | fma-neg_binary64 |
| 538× | cancel-sign-sub-inv_binary64 |
| 426× | unswap-sqr_binary64 |
| 381× | times-frac_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 44 | 239 |
| 1 | 132 | 196 |
| 2 | 355 | 173 |
| 3 | 1265 | 163 |
| 4 | 3705 | 157 |
| 1× | node limit |
| Inputs |
|---|
(exp.f64 (neg.f64 z)) |
(+.f64 (exp.f64 (neg.f64 z)) (*.f64 (exp.f64 (neg.f64 z)) x)) |
(+.f64 (exp.f64 (neg.f64 z)) (+.f64 (*.f64 (exp.f64 (neg.f64 z)) x) (*.f64 1/2 (*.f64 (exp.f64 (neg.f64 z)) (pow.f64 x 2))))) |
(+.f64 (exp.f64 (neg.f64 z)) (+.f64 (*.f64 1/6 (*.f64 (exp.f64 (neg.f64 z)) (pow.f64 x 3))) (+.f64 (*.f64 (exp.f64 (neg.f64 z)) x) (*.f64 1/2 (*.f64 (exp.f64 (neg.f64 z)) (pow.f64 x 2)))))) |
(exp.f64 (neg.f64 (+.f64 (*.f64 -1 x) z))) |
(exp.f64 (neg.f64 (+.f64 (*.f64 -1 x) z))) |
(exp.f64 (neg.f64 (+.f64 (*.f64 -1 x) z))) |
(exp.f64 (neg.f64 (+.f64 (*.f64 -1 x) z))) |
(exp.f64 x) |
(+.f64 (*.f64 -1 (*.f64 z (exp.f64 x))) (exp.f64 x)) |
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 z 2) (exp.f64 x))) (+.f64 (*.f64 -1 (*.f64 z (exp.f64 x))) (exp.f64 x))) |
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 z 2) (exp.f64 x))) (+.f64 (*.f64 -1 (*.f64 z (exp.f64 x))) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 z 3) (exp.f64 x))) (exp.f64 x)))) |
(exp.f64 (+.f64 (*.f64 -1 z) x)) |
(exp.f64 (+.f64 (*.f64 -1 z) x)) |
(exp.f64 (+.f64 (*.f64 -1 z) x)) |
(exp.f64 (+.f64 (*.f64 -1 z) x)) |
| Outputs |
|---|
(exp.f64 (neg.f64 z)) |
(+.f64 (exp.f64 (neg.f64 z)) (*.f64 (exp.f64 (neg.f64 z)) x)) |
(*.f64 (+.f64 x 1) (exp.f64 (neg.f64 z))) |
(/.f64 (+.f64 x 1) (exp.f64 z)) |
(+.f64 (exp.f64 (neg.f64 z)) (+.f64 (*.f64 (exp.f64 (neg.f64 z)) x) (*.f64 1/2 (*.f64 (exp.f64 (neg.f64 z)) (pow.f64 x 2))))) |
(+.f64 (exp.f64 (neg.f64 z)) (fma.f64 (exp.f64 (neg.f64 z)) x (*.f64 1/2 (*.f64 (exp.f64 (neg.f64 z)) (*.f64 x x))))) |
(+.f64 (exp.f64 (neg.f64 z)) (fma.f64 1/2 (*.f64 x (/.f64 x (exp.f64 z))) (/.f64 x (exp.f64 z)))) |
(*.f64 (exp.f64 (neg.f64 z)) (+.f64 (+.f64 x 1) (*.f64 x (*.f64 x 1/2)))) |
(/.f64 (+.f64 1 (fma.f64 x (*.f64 x 1/2) x)) (exp.f64 z)) |
(+.f64 (exp.f64 (neg.f64 z)) (+.f64 (*.f64 1/6 (*.f64 (exp.f64 (neg.f64 z)) (pow.f64 x 3))) (+.f64 (*.f64 (exp.f64 (neg.f64 z)) x) (*.f64 1/2 (*.f64 (exp.f64 (neg.f64 z)) (pow.f64 x 2)))))) |
(+.f64 (exp.f64 (neg.f64 z)) (fma.f64 1/6 (*.f64 (exp.f64 (neg.f64 z)) (pow.f64 x 3)) (fma.f64 (exp.f64 (neg.f64 z)) x (*.f64 1/2 (*.f64 (exp.f64 (neg.f64 z)) (*.f64 x x)))))) |
(+.f64 (exp.f64 (neg.f64 z)) (fma.f64 (/.f64 1/6 (exp.f64 z)) (pow.f64 x 3) (fma.f64 1/2 (*.f64 x (/.f64 x (exp.f64 z))) (/.f64 x (exp.f64 z))))) |
(fma.f64 1/6 (/.f64 (pow.f64 x 3) (exp.f64 z)) (*.f64 (exp.f64 (neg.f64 z)) (+.f64 (+.f64 x 1) (*.f64 x (*.f64 x 1/2))))) |
(*.f64 (exp.f64 (neg.f64 z)) (+.f64 (+.f64 x 1) (*.f64 (*.f64 x x) (+.f64 (*.f64 x 1/6) 1/2)))) |
(exp.f64 (neg.f64 (+.f64 (*.f64 -1 x) z))) |
(exp.f64 (neg.f64 (fma.f64 -1 x z))) |
(exp.f64 (-.f64 x z)) |
(exp.f64 (neg.f64 (+.f64 (*.f64 -1 x) z))) |
(exp.f64 (neg.f64 (fma.f64 -1 x z))) |
(exp.f64 (-.f64 x z)) |
(exp.f64 (neg.f64 (+.f64 (*.f64 -1 x) z))) |
(exp.f64 (neg.f64 (fma.f64 -1 x z))) |
(exp.f64 (-.f64 x z)) |
(exp.f64 (neg.f64 (+.f64 (*.f64 -1 x) z))) |
(exp.f64 (neg.f64 (fma.f64 -1 x z))) |
(exp.f64 (-.f64 x z)) |
(exp.f64 x) |
(+.f64 (*.f64 -1 (*.f64 z (exp.f64 x))) (exp.f64 x)) |
(fma.f64 -1 (*.f64 z (exp.f64 x)) (exp.f64 x)) |
(-.f64 (exp.f64 x) (*.f64 z (exp.f64 x))) |
(*.f64 (exp.f64 x) (fma.f64 z -1 1)) |
(*.f64 (exp.f64 x) (-.f64 1 z)) |
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 z 2) (exp.f64 x))) (+.f64 (*.f64 -1 (*.f64 z (exp.f64 x))) (exp.f64 x))) |
(fma.f64 1/2 (*.f64 (exp.f64 x) (*.f64 z z)) (fma.f64 -1 (*.f64 z (exp.f64 x)) (exp.f64 x))) |
(+.f64 (exp.f64 x) (*.f64 (exp.f64 x) (+.f64 (*.f64 1/2 (*.f64 z z)) (neg.f64 z)))) |
(fma.f64 (exp.f64 x) (-.f64 (*.f64 z (*.f64 z 1/2)) z) (exp.f64 x)) |
(*.f64 (exp.f64 x) (+.f64 1 (-.f64 (*.f64 z (*.f64 z 1/2)) z))) |
(*.f64 (exp.f64 x) (fma.f64 z (*.f64 z 1/2) (-.f64 1 z))) |
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 z 2) (exp.f64 x))) (+.f64 (*.f64 -1 (*.f64 z (exp.f64 x))) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 z 3) (exp.f64 x))) (exp.f64 x)))) |
(fma.f64 1/2 (*.f64 (exp.f64 x) (*.f64 z z)) (fma.f64 -1 (*.f64 z (exp.f64 x)) (fma.f64 -1/6 (*.f64 (exp.f64 x) (pow.f64 z 3)) (exp.f64 x)))) |
(+.f64 (fma.f64 -1/6 (*.f64 (exp.f64 x) (pow.f64 z 3)) (exp.f64 x)) (*.f64 (exp.f64 x) (+.f64 (*.f64 1/2 (*.f64 z z)) (neg.f64 z)))) |
(fma.f64 1/2 (*.f64 z (*.f64 z (exp.f64 x))) (*.f64 (exp.f64 x) (-.f64 (fma.f64 -1/6 (pow.f64 z 3) 1) z))) |
(*.f64 (exp.f64 x) (+.f64 (fma.f64 -1/6 (pow.f64 z 3) 1) (-.f64 (*.f64 z (*.f64 z 1/2)) z))) |
(exp.f64 (+.f64 (*.f64 -1 z) x)) |
(exp.f64 (neg.f64 (fma.f64 -1 x z))) |
(exp.f64 (-.f64 x z)) |
(exp.f64 (+.f64 (*.f64 -1 z) x)) |
(exp.f64 (neg.f64 (fma.f64 -1 x z))) |
(exp.f64 (-.f64 x z)) |
(exp.f64 (+.f64 (*.f64 -1 z) x)) |
(exp.f64 (neg.f64 (fma.f64 -1 x z))) |
(exp.f64 (-.f64 x z)) |
(exp.f64 (+.f64 (*.f64 -1 z) x)) |
(exp.f64 (neg.f64 (fma.f64 -1 x z))) |
(exp.f64 (-.f64 x z)) |
Compiled 6 to 4 computations (33.3% saved)
Compiled 9 to 5 computations (44.4% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.7b | (/.f64 (pow.f64 y y) (exp.f64 z)) |
Compiled 16 to 6 computations (62.5% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | y | @ | -inf | (/.f64 (pow.f64 y y) (exp.f64 z)) |
| 1.0ms | y | @ | 0 | (/.f64 (pow.f64 y y) (exp.f64 z)) |
| 1.0ms | z | @ | 0 | (/.f64 (pow.f64 y y) (exp.f64 z)) |
| 1.0ms | z | @ | inf | (/.f64 (pow.f64 y y) (exp.f64 z)) |
| 1.0ms | y | @ | inf | (/.f64 (pow.f64 y y) (exp.f64 z)) |
| 1× | batch-egg-rewrite |
| 657× | pow1_binary64 |
| 608× | add-log-exp_binary64 |
| 608× | log1p-expm1-u_binary64 |
| 608× | expm1-log1p-u_binary64 |
| 592× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 9 |
| 1 | 125 | 9 |
| 2 | 1639 | 9 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (pow.f64 y y) (exp.f64 z)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.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 (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 (cbrt.f64 (pow.f64 (*.f64 y y) y)) (*.f64 (cbrt.f64 (pow.f64 y y)) (exp.f64 (neg.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 (neg.f64 (pow.f64 y y)) (/.f64 1 (neg.f64 (exp.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 (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 (/.f64 (cbrt.f64 (pow.f64 (*.f64 y y) y)) 1) (/.f64 (cbrt.f64 (pow.f64 y y)) (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 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 (cbrt.f64 (pow.f64 (*.f64 y y) y)) (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 *.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 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 (cbrt.f64 (pow.f64 (*.f64 y y) y)) (sqrt.f64 (exp.f64 z))) (/.f64 (cbrt.f64 (pow.f64 y y)) (sqrt.f64 (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 (pow.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) 3) 1/3)))) (#(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 (sqrt.f64 (/.f64 (pow.f64 y y) (exp.f64 z))) 2)))) (#(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 cbrt.f64 (pow.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (pow.f64 y y) 3) (pow.f64 (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 log1p.f64 (expm1.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)))))) |
| 1× | egg-herbie |
| 372× | fma-def_binary64 |
| 359× | associate-/l*_binary64 |
| 351× | distribute-rgt-out_binary64 |
| 321× | associate-/r*_binary64 |
| 270× | associate-*l*_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 52 | 223 |
| 1 | 170 | 210 |
| 2 | 568 | 186 |
| 3 | 3416 | 178 |
| 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)))) |
| 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 (exp.f64 (neg.f64 z)) (/.f64 (*.f64 y (log.f64 y)) (exp.f64 z))) |
(+.f64 (exp.f64 (neg.f64 z)) (*.f64 (/.f64 y (exp.f64 z)) (log.f64 y))) |
(fma.f64 (/.f64 y (exp.f64 z)) (log.f64 y) (exp.f64 (neg.f64 z))) |
(+.f64 (/.f64 1 (exp.f64 z)) (+.f64 (*.f64 1/2 (/.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 (exp.f64 (neg.f64 z)) (fma.f64 1/2 (/.f64 (*.f64 (*.f64 y y) (pow.f64 (log.f64 y) 2)) (exp.f64 z)) (/.f64 (*.f64 y (log.f64 y)) (exp.f64 z)))) |
(+.f64 (exp.f64 (neg.f64 z)) (fma.f64 1/2 (*.f64 (/.f64 (*.f64 y y) (exp.f64 z)) (pow.f64 (log.f64 y) 2)) (*.f64 (/.f64 y (exp.f64 z)) (log.f64 y)))) |
(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)))) |
(fma.f64 1/2 (*.f64 (pow.f64 (log.f64 y) 2) (*.f64 (/.f64 y (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 (exp.f64 (neg.f64 z)) (fma.f64 1/6 (/.f64 (*.f64 (pow.f64 y 3) (pow.f64 (log.f64 y) 3)) (exp.f64 z)) (fma.f64 1/2 (/.f64 (*.f64 (*.f64 y y) (pow.f64 (log.f64 y) 2)) (exp.f64 z)) (/.f64 (*.f64 y (log.f64 y)) (exp.f64 z))))) |
(+.f64 (exp.f64 (neg.f64 z)) (fma.f64 1/6 (*.f64 (/.f64 (pow.f64 y 3) (exp.f64 z)) (pow.f64 (log.f64 y) 3)) (fma.f64 1/2 (*.f64 (/.f64 (*.f64 y y) (exp.f64 z)) (pow.f64 (log.f64 y) 2)) (*.f64 (/.f64 y (exp.f64 z)) (log.f64 y))))) |
(fma.f64 1/6 (*.f64 (/.f64 (pow.f64 (log.f64 y) 3) (exp.f64 z)) (pow.f64 y 3)) (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))))) |
(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 (/.f64 y (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 (+.f64 (neg.f64 z) 1) (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 z (*.f64 z -1/2))))) |
(*.f64 (pow.f64 y y) (-.f64 1 (+.f64 z (*.f64 z (*.f64 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))) |
(fma.f64 (pow.f64 z 3) (*.f64 (pow.f64 y y) -1/6) (-.f64 (pow.f64 y y) (*.f64 (pow.f64 y y) (+.f64 z (*.f64 z (*.f64 z -1/2)))))) |
(fma.f64 (pow.f64 z 3) (*.f64 (pow.f64 y y) -1/6) (*.f64 (pow.f64 y y) (-.f64 1 (+.f64 z (*.f64 z (*.f64 z -1/2)))))) |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (/.f64 (+.f64 1 z) (exp.f64 x)) |
| ✓ | 0.3b | (/.f64 (pow.f64 y y) (/.f64 (+.f64 1 z) (exp.f64 x))) |
Compiled 31 to 15 computations (51.6% saved)
15 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 32.0ms | z | @ | 0 | (/.f64 (+.f64 1 z) (exp.f64 x)) |
| 2.0ms | y | @ | 0 | (/.f64 (pow.f64 y y) (/.f64 (+.f64 1 z) (exp.f64 x))) |
| 2.0ms | y | @ | inf | (/.f64 (pow.f64 y y) (/.f64 (+.f64 1 z) (exp.f64 x))) |
| 2.0ms | x | @ | inf | (/.f64 (pow.f64 y y) (/.f64 (+.f64 1 z) (exp.f64 x))) |
| 2.0ms | y | @ | -inf | (/.f64 (pow.f64 y y) (/.f64 (+.f64 1 z) (exp.f64 x))) |
| 1× | batch-egg-rewrite |
| 566× | log-prod_binary64 |
| 317× | pow-prod-down_binary64 |
| 286× | pow2_binary64 |
| 229× | pow-unpow_binary64 |
| 211× | pow-pow_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 24 |
| 1 | 215 | 22 |
| 2 | 3033 | 22 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (pow.f64 y y) (/.f64 (+.f64 1 z) (exp.f64 x))) |
(/.f64 (+.f64 1 z) (exp.f64 x)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (pow.f64 y y) (exp.f64 (-.f64 x (log1p.f64 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 y y)) (exp.f64 (-.f64 x (log1p.f64 z))))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 y y)) (exp.f64 (-.f64 x (log1p.f64 z)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 y y)) (exp.f64 (-.f64 x (log1p.f64 z)))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 y y)) (exp.f64 (-.f64 x (log1p.f64 z)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 y y) (exp.f64 (-.f64 x (log1p.f64 z)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 y y) (exp.f64 (-.f64 x (log1p.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (pow.f64 y y) (exp.f64 (-.f64 x (log1p.f64 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 x) (/.f64 (pow.f64 y y) (+.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 y y) (exp.f64 (-.f64 x (log1p.f64 z)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 y (+.f64 y y))) (*.f64 (cbrt.f64 (pow.f64 y y)) (exp.f64 (-.f64 x (log1p.f64 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (pow.f64 y y) (exp.f64 (-.f64 x (log1p.f64 z))))) (cbrt.f64 (pow.f64 (*.f64 (pow.f64 y y) (exp.f64 (-.f64 x (log1p.f64 z)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 (pow.f64 y y) (exp.f64 (-.f64 x (log1p.f64 z)))) 2)) (cbrt.f64 (*.f64 (pow.f64 y y) (exp.f64 (-.f64 x (log1p.f64 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (pow.f64 y y) (exp.f64 (-.f64 x (log1p.f64 z))))) (sqrt.f64 (*.f64 (pow.f64 y y) (exp.f64 (-.f64 x (log1p.f64 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (pow.f64 y y)) (/.f64 1 (neg.f64 (exp.f64 (-.f64 (log1p.f64 z) x)))))))) (#(struct:change #<rule 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(#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 y y) (exp.f64 (-.f64 x (log1p.f64 z)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (pow.f64 y y) (exp.f64 (-.f64 x (log1p.f64 z)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 y (*.f64 y 3)) (pow.f64 (exp.f64 (-.f64 x (log1p.f64 z))) -3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (pow.f64 y y) (exp.f64 (-.f64 x (log1p.f64 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (pow.f64 y y) (exp.f64 (-.f64 x (log1p.f64 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (fma.f64 y (log.f64 y) (-.f64 x (log1p.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (fma.f64 y (log.f64 y) (-.f64 x (log1p.f64 z))) 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (exp.f64 (-.f64 (log1p.f64 z) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (exp.f64 (-.f64 (log1p.f64 z) x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (exp.f64 (-.f64 (log1p.f64 z) x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (exp.f64 (-.f64 (log1p.f64 z) x))))) (log.f64 (sqrt.f64 (exp.f64 (exp.f64 (-.f64 (log1p.f64 z) x))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (exp.f64 (-.f64 (log1p.f64 z) x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (exp.f64 (-.f64 (log1p.f64 z) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 z) (exp.f64 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 (-.f64 (log1p.f64 z) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (exp.f64 (-.f64 (log1p.f64 z) x))) (cbrt.f64 (pow.f64 (exp.f64 (-.f64 (log1p.f64 z) x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 (log1p.f64 z) x)) 2)) (cbrt.f64 (exp.f64 (-.f64 (log1p.f64 z) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 1 z) 2)) (*.f64 (cbrt.f64 (+.f64 1 z)) (exp.f64 (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (exp.f64 (-.f64 (log1p.f64 z) x))) (sqrt.f64 (exp.f64 (-.f64 (log1p.f64 z) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 1 z)) (*.f64 (sqrt.f64 (+.f64 1 z)) (exp.f64 (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (+.f64 1 z)) (/.f64 1 (neg.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 (neg.f64 x)) (+.f64 1 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 1 z) 2)) 1) (/.f64 (cbrt.f64 (+.f64 1 z)) (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 1 z)) 1) (/.f64 (sqrt.f64 (+.f64 1 z)) (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) -2) (/.f64 (+.f64 1 z) (cbrt.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 1 z) 2)) (pow.f64 (cbrt.f64 (exp.f64 x)) 2)) (cbrt.f64 (exp.f64 (-.f64 (log1p.f64 z) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 1 z)) (pow.f64 (cbrt.f64 (exp.f64 x)) 2)) (/.f64 (sqrt.f64 (+.f64 1 z)) (cbrt.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (exp.f64 x) -1/2) (/.f64 (+.f64 1 z) (sqrt.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 1 z) 2)) (sqrt.f64 (exp.f64 x))) (/.f64 (cbrt.f64 (+.f64 1 z)) (sqrt.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (-.f64 (log1p.f64 z) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (-.f64 (log1p.f64 z) x)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (-.f64 x (log1p.f64 z))) -3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (exp.f64 (-.f64 (log1p.f64 z) x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (exp.f64 (-.f64 (log1p.f64 z) x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (-.f64 x (log1p.f64 z))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (+.f64 1 z) 3) (pow.f64 (exp.f64 x) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (exp.f64 (-.f64 x (log1p.f64 z))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 1 z) (neg.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (exp.f64 (-.f64 (log1p.f64 z) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (exp.f64 (-.f64 (log1p.f64 z) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (exp.f64 (-.f64 (log1p.f64 z) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (exp.f64 (-.f64 x (log1p.f64 z))) -3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (+.f64 1 z) 3) (pow.f64 (exp.f64 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (exp.f64 (-.f64 (log1p.f64 z) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (exp.f64 (-.f64 (log1p.f64 z) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log1p.f64 z) x))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 (log1p.f64 z) x) 1)))))) |
| 1× | egg-herbie |
| 571× | fma-def_binary64 |
| 497× | associate-*l*_binary64 |
| 481× | associate-*r*_binary64 |
| 340× | unsub-neg_binary64 |
| 282× | associate-+l+_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 106 | 1234 |
| 1 | 356 | 1200 |
| 2 | 1222 | 1069 |
| 3 | 6947 | 1069 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (exp.f64 x) (+.f64 1 z)) |
(+.f64 (/.f64 (*.f64 y (*.f64 (exp.f64 x) (log.f64 y))) (+.f64 1 z)) (/.f64 (exp.f64 x) (+.f64 1 z))) |
(+.f64 (/.f64 (*.f64 y (*.f64 (exp.f64 x) (log.f64 y))) (+.f64 1 z)) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 y 2) (*.f64 (exp.f64 x) (pow.f64 (log.f64 y) 2))) (+.f64 1 z))) (/.f64 (exp.f64 x) (+.f64 1 z)))) |
(+.f64 (/.f64 (*.f64 y (*.f64 (exp.f64 x) (log.f64 y))) (+.f64 1 z)) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 y 2) (*.f64 (exp.f64 x) (pow.f64 (log.f64 y) 2))) (+.f64 1 z))) (+.f64 (*.f64 1/6 (/.f64 (*.f64 (pow.f64 y 3) (*.f64 (exp.f64 x) (pow.f64 (log.f64 y) 3))) (+.f64 1 z))) (/.f64 (exp.f64 x) (+.f64 1 z))))) |
(/.f64 (*.f64 (pow.f64 y y) (exp.f64 x)) (+.f64 1 z)) |
(/.f64 (*.f64 (pow.f64 y y) (exp.f64 x)) (+.f64 1 z)) |
(/.f64 (*.f64 (pow.f64 y y) (exp.f64 x)) (+.f64 1 z)) |
(/.f64 (*.f64 (pow.f64 y y) (exp.f64 x)) (+.f64 1 z)) |
(/.f64 (*.f64 (pow.f64 y y) (exp.f64 x)) (+.f64 1 z)) |
(/.f64 (*.f64 (pow.f64 y y) (exp.f64 x)) (+.f64 1 z)) |
(/.f64 (*.f64 (pow.f64 y y) (exp.f64 x)) (+.f64 1 z)) |
(/.f64 (*.f64 (pow.f64 y y) (exp.f64 x)) (+.f64 1 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 (pow.f64 y y) (*.f64 (pow.f64 z 2) (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 (*.f64 (pow.f64 y y) (*.f64 (exp.f64 x) (pow.f64 z 3)))) (+.f64 (*.f64 (pow.f64 y y) (*.f64 (pow.f64 z 2) (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 (pow.f64 y y) (exp.f64 x)) z) |
(+.f64 (/.f64 (*.f64 (pow.f64 y y) (exp.f64 x)) z) (*.f64 -1 (/.f64 (*.f64 (pow.f64 y y) (exp.f64 x)) (pow.f64 z 2)))) |
(+.f64 (/.f64 (*.f64 (pow.f64 y y) (exp.f64 x)) z) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 y y) (exp.f64 x)) (pow.f64 z 2))) (/.f64 (*.f64 (pow.f64 y y) (exp.f64 x)) (pow.f64 z 3)))) |
(+.f64 (/.f64 (*.f64 (pow.f64 y y) (exp.f64 x)) z) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 y y) (exp.f64 x)) (pow.f64 z 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 y y) (exp.f64 x)) (pow.f64 z 4))) (/.f64 (*.f64 (pow.f64 y y) (exp.f64 x)) (pow.f64 z 3))))) |
(/.f64 (*.f64 (pow.f64 y y) (exp.f64 x)) z) |
(+.f64 (/.f64 (*.f64 (pow.f64 y y) (exp.f64 x)) z) (*.f64 -1 (/.f64 (*.f64 (pow.f64 y y) (exp.f64 x)) (pow.f64 z 2)))) |
(+.f64 (/.f64 (*.f64 (pow.f64 y y) (exp.f64 x)) z) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 y y) (exp.f64 x)) (pow.f64 z 2))) (/.f64 (*.f64 (pow.f64 y y) (exp.f64 x)) (pow.f64 z 3)))) |
(+.f64 (/.f64 (*.f64 (pow.f64 y y) (exp.f64 x)) z) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 y y) (exp.f64 x)) (pow.f64 z 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 y y) (exp.f64 x)) (pow.f64 z 4))) (/.f64 (*.f64 (pow.f64 y y) (exp.f64 x)) (pow.f64 z 3))))) |
(/.f64 (pow.f64 y y) (+.f64 1 z)) |
(+.f64 (/.f64 (*.f64 (pow.f64 y y) x) (+.f64 1 z)) (/.f64 (pow.f64 y y) (+.f64 1 z))) |
(+.f64 (/.f64 (*.f64 (pow.f64 y y) x) (+.f64 1 z)) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 y y) (pow.f64 x 2)) (+.f64 1 z))) (/.f64 (pow.f64 y y) (+.f64 1 z)))) |
(+.f64 (/.f64 (*.f64 (pow.f64 y y) x) (+.f64 1 z)) (+.f64 (*.f64 1/6 (/.f64 (*.f64 (pow.f64 y y) (pow.f64 x 3)) (+.f64 1 z))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 y y) (pow.f64 x 2)) (+.f64 1 z))) (/.f64 (pow.f64 y y) (+.f64 1 z))))) |
(/.f64 (*.f64 (pow.f64 y y) (exp.f64 x)) (+.f64 1 z)) |
(/.f64 (*.f64 (pow.f64 y y) (exp.f64 x)) (+.f64 1 z)) |
(/.f64 (*.f64 (pow.f64 y y) (exp.f64 x)) (+.f64 1 z)) |
(/.f64 (*.f64 (pow.f64 y y) (exp.f64 x)) (+.f64 1 z)) |
(/.f64 (*.f64 (pow.f64 y y) (exp.f64 x)) (+.f64 1 z)) |
(/.f64 (*.f64 (pow.f64 y y) (exp.f64 x)) (+.f64 1 z)) |
(/.f64 (*.f64 (pow.f64 y y) (exp.f64 x)) (+.f64 1 z)) |
(/.f64 (*.f64 (pow.f64 y y) (exp.f64 x)) (+.f64 1 z)) |
(/.f64 1 (exp.f64 x)) |
(+.f64 (/.f64 1 (exp.f64 x)) (/.f64 z (exp.f64 x))) |
(+.f64 (/.f64 1 (exp.f64 x)) (/.f64 z (exp.f64 x))) |
(+.f64 (/.f64 1 (exp.f64 x)) (/.f64 z (exp.f64 x))) |
(/.f64 z (exp.f64 x)) |
(+.f64 (/.f64 1 (exp.f64 x)) (/.f64 z (exp.f64 x))) |
(+.f64 (/.f64 1 (exp.f64 x)) (/.f64 z (exp.f64 x))) |
(+.f64 (/.f64 1 (exp.f64 x)) (/.f64 z (exp.f64 x))) |
(/.f64 z (exp.f64 x)) |
(+.f64 (/.f64 1 (exp.f64 x)) (/.f64 z (exp.f64 x))) |
(+.f64 (/.f64 1 (exp.f64 x)) (/.f64 z (exp.f64 x))) |
(+.f64 (/.f64 1 (exp.f64 x)) (/.f64 z (exp.f64 x))) |
(+.f64 1 z) |
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 (+.f64 1 z) x)) z)) |
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (+.f64 1 z)) (*.f64 1/2 (+.f64 1 z))) (pow.f64 x 2))) (+.f64 1 (+.f64 (*.f64 -1 (*.f64 (+.f64 1 z) x)) z))) |
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (+.f64 1 z)) (*.f64 1/2 (+.f64 1 z))) (pow.f64 x 2))) (+.f64 1 (+.f64 (*.f64 -1 (*.f64 (+.f64 1 z) x)) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/2 (+.f64 1 z)) (+.f64 (*.f64 -1 (+.f64 (*.f64 -1 (+.f64 1 z)) (*.f64 1/2 (+.f64 1 z)))) (*.f64 1/6 (+.f64 1 z)))) (pow.f64 x 3))) z)))) |
| Outputs |
|---|
(/.f64 (exp.f64 x) (+.f64 1 z)) |
(+.f64 (/.f64 (*.f64 y (*.f64 (exp.f64 x) (log.f64 y))) (+.f64 1 z)) (/.f64 (exp.f64 x) (+.f64 1 z))) |
(+.f64 (/.f64 (exp.f64 x) (+.f64 1 z)) (/.f64 y (/.f64 (+.f64 1 z) (*.f64 (exp.f64 x) (log.f64 y))))) |
(+.f64 (/.f64 (exp.f64 x) (+.f64 1 z)) (*.f64 (/.f64 y (+.f64 1 z)) (*.f64 (exp.f64 x) (log.f64 y)))) |
(fma.f64 (/.f64 y (+.f64 1 z)) (*.f64 (exp.f64 x) (log.f64 y)) (/.f64 (exp.f64 x) (+.f64 1 z))) |
(+.f64 (/.f64 (*.f64 y (*.f64 (exp.f64 x) (log.f64 y))) (+.f64 1 z)) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 y 2) (*.f64 (exp.f64 x) (pow.f64 (log.f64 y) 2))) (+.f64 1 z))) (/.f64 (exp.f64 x) (+.f64 1 z)))) |
(+.f64 (/.f64 y (/.f64 (+.f64 1 z) (*.f64 (exp.f64 x) (log.f64 y)))) (fma.f64 1/2 (/.f64 (*.f64 y y) (/.f64 (+.f64 1 z) (*.f64 (exp.f64 x) (pow.f64 (log.f64 y) 2)))) (/.f64 (exp.f64 x) (+.f64 1 z)))) |
(+.f64 (*.f64 (/.f64 y (+.f64 1 z)) (*.f64 (exp.f64 x) (log.f64 y))) (fma.f64 1/2 (*.f64 (/.f64 (*.f64 y y) (+.f64 1 z)) (*.f64 (exp.f64 x) (pow.f64 (log.f64 y) 2))) (/.f64 (exp.f64 x) (+.f64 1 z)))) |
(fma.f64 1/2 (*.f64 (*.f64 (exp.f64 x) (pow.f64 (log.f64 y) 2)) (/.f64 y (/.f64 (+.f64 1 z) y))) (fma.f64 (/.f64 y (+.f64 1 z)) (*.f64 (exp.f64 x) (log.f64 y)) (/.f64 (exp.f64 x) (+.f64 1 z)))) |
(+.f64 (/.f64 (*.f64 y (*.f64 (exp.f64 x) (log.f64 y))) (+.f64 1 z)) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 y 2) (*.f64 (exp.f64 x) (pow.f64 (log.f64 y) 2))) (+.f64 1 z))) (+.f64 (*.f64 1/6 (/.f64 (*.f64 (pow.f64 y 3) (*.f64 (exp.f64 x) (pow.f64 (log.f64 y) 3))) (+.f64 1 z))) (/.f64 (exp.f64 x) (+.f64 1 z))))) |
(+.f64 (/.f64 y (/.f64 (+.f64 1 z) (*.f64 (exp.f64 x) (log.f64 y)))) (fma.f64 1/2 (/.f64 (*.f64 y y) (/.f64 (+.f64 1 z) (*.f64 (exp.f64 x) (pow.f64 (log.f64 y) 2)))) (fma.f64 1/6 (/.f64 (pow.f64 y 3) (/.f64 (+.f64 1 z) (*.f64 (exp.f64 x) (pow.f64 (log.f64 y) 3)))) (/.f64 (exp.f64 x) (+.f64 1 z))))) |
(+.f64 (*.f64 (/.f64 y (+.f64 1 z)) (*.f64 (exp.f64 x) (log.f64 y))) (fma.f64 1/2 (*.f64 (/.f64 (*.f64 y y) (+.f64 1 z)) (*.f64 (exp.f64 x) (pow.f64 (log.f64 y) 2))) (fma.f64 1/6 (*.f64 (/.f64 (pow.f64 y 3) (+.f64 1 z)) (*.f64 (exp.f64 x) (pow.f64 (log.f64 y) 3))) (/.f64 (exp.f64 x) (+.f64 1 z))))) |
(fma.f64 1/2 (*.f64 (*.f64 (exp.f64 x) (pow.f64 (log.f64 y) 2)) (/.f64 y (/.f64 (+.f64 1 z) y))) (fma.f64 (/.f64 y (+.f64 1 z)) (*.f64 (exp.f64 x) (log.f64 y)) (fma.f64 1/6 (*.f64 (*.f64 (exp.f64 x) (pow.f64 (log.f64 y) 3)) (/.f64 (pow.f64 y 3) (+.f64 1 z))) (/.f64 (exp.f64 x) (+.f64 1 z))))) |
(/.f64 (*.f64 (pow.f64 y y) (exp.f64 x)) (+.f64 1 z)) |
(/.f64 (pow.f64 y y) (/.f64 (+.f64 1 z) (exp.f64 x))) |
(*.f64 (/.f64 (pow.f64 y y) (+.f64 1 z)) (exp.f64 x)) |
(/.f64 (exp.f64 x) (/.f64 (+.f64 1 z) (pow.f64 y y))) |
(/.f64 (*.f64 (pow.f64 y y) (exp.f64 x)) (+.f64 1 z)) |
(/.f64 (pow.f64 y y) (/.f64 (+.f64 1 z) (exp.f64 x))) |
(*.f64 (/.f64 (pow.f64 y y) (+.f64 1 z)) (exp.f64 x)) |
(/.f64 (exp.f64 x) (/.f64 (+.f64 1 z) (pow.f64 y y))) |
(/.f64 (*.f64 (pow.f64 y y) (exp.f64 x)) (+.f64 1 z)) |
(/.f64 (pow.f64 y y) (/.f64 (+.f64 1 z) (exp.f64 x))) |
(*.f64 (/.f64 (pow.f64 y y) (+.f64 1 z)) (exp.f64 x)) |
(/.f64 (exp.f64 x) (/.f64 (+.f64 1 z) (pow.f64 y y))) |
(/.f64 (*.f64 (pow.f64 y y) (exp.f64 x)) (+.f64 1 z)) |
(/.f64 (pow.f64 y y) (/.f64 (+.f64 1 z) (exp.f64 x))) |
(*.f64 (/.f64 (pow.f64 y y) (+.f64 1 z)) (exp.f64 x)) |
(/.f64 (exp.f64 x) (/.f64 (+.f64 1 z) (pow.f64 y y))) |
(/.f64 (*.f64 (pow.f64 y y) (exp.f64 x)) (+.f64 1 z)) |
(/.f64 (pow.f64 y y) (/.f64 (+.f64 1 z) (exp.f64 x))) |
(*.f64 (/.f64 (pow.f64 y y) (+.f64 1 z)) (exp.f64 x)) |
(/.f64 (exp.f64 x) (/.f64 (+.f64 1 z) (pow.f64 y y))) |
(/.f64 (*.f64 (pow.f64 y y) (exp.f64 x)) (+.f64 1 z)) |
(/.f64 (pow.f64 y y) (/.f64 (+.f64 1 z) (exp.f64 x))) |
(*.f64 (/.f64 (pow.f64 y y) (+.f64 1 z)) (exp.f64 x)) |
(/.f64 (exp.f64 x) (/.f64 (+.f64 1 z) (pow.f64 y y))) |
(/.f64 (*.f64 (pow.f64 y y) (exp.f64 x)) (+.f64 1 z)) |
(/.f64 (pow.f64 y y) (/.f64 (+.f64 1 z) (exp.f64 x))) |
(*.f64 (/.f64 (pow.f64 y y) (+.f64 1 z)) (exp.f64 x)) |
(/.f64 (exp.f64 x) (/.f64 (+.f64 1 z) (pow.f64 y y))) |
(/.f64 (*.f64 (pow.f64 y y) (exp.f64 x)) (+.f64 1 z)) |
(/.f64 (pow.f64 y y) (/.f64 (+.f64 1 z) (exp.f64 x))) |
(*.f64 (/.f64 (pow.f64 y y) (+.f64 1 z)) (exp.f64 x)) |
(/.f64 (exp.f64 x) (/.f64 (+.f64 1 z) (pow.f64 y y))) |
(*.f64 (pow.f64 y y) (exp.f64 x)) |
(*.f64 (exp.f64 x) (pow.f64 y y)) |
(+.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 (*.f64 (exp.f64 x) (pow.f64 y y)) z))) |
(-.f64 (*.f64 (exp.f64 x) (pow.f64 y y)) (*.f64 (exp.f64 x) (*.f64 (pow.f64 y y) z))) |
(*.f64 (pow.f64 y y) (-.f64 (exp.f64 x) (*.f64 (exp.f64 x) z))) |
(+.f64 (*.f64 (pow.f64 y y) (*.f64 (pow.f64 z 2) (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) (*.f64 (exp.f64 x) (*.f64 z z)) (fma.f64 (pow.f64 y y) (exp.f64 x) (neg.f64 (*.f64 (*.f64 (exp.f64 x) (pow.f64 y y)) z)))) |
(-.f64 (*.f64 (pow.f64 y y) (+.f64 (*.f64 (exp.f64 x) (*.f64 z z)) (exp.f64 x))) (*.f64 (exp.f64 x) (*.f64 (pow.f64 y y) z))) |
(*.f64 (pow.f64 y y) (-.f64 (*.f64 (+.f64 (*.f64 z z) 1) (exp.f64 x)) (*.f64 (exp.f64 x) z))) |
(+.f64 (*.f64 -1 (*.f64 (pow.f64 y y) (*.f64 (exp.f64 x) (pow.f64 z 3)))) (+.f64 (*.f64 (pow.f64 y y) (*.f64 (pow.f64 z 2) (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 -1 (*.f64 (*.f64 (exp.f64 x) (pow.f64 y y)) (pow.f64 z 3)) (fma.f64 (pow.f64 y y) (*.f64 (exp.f64 x) (*.f64 z z)) (fma.f64 (pow.f64 y y) (exp.f64 x) (neg.f64 (*.f64 (*.f64 (exp.f64 x) (pow.f64 y y)) z))))) |
(-.f64 (-.f64 (*.f64 (pow.f64 y y) (+.f64 (*.f64 (exp.f64 x) (*.f64 z z)) (exp.f64 x))) (*.f64 (exp.f64 x) (*.f64 (pow.f64 y y) z))) (*.f64 (exp.f64 x) (*.f64 (pow.f64 y y) (pow.f64 z 3)))) |
(fma.f64 (exp.f64 x) (*.f64 (+.f64 (*.f64 z z) 1) (pow.f64 y y)) (*.f64 (*.f64 (exp.f64 x) (neg.f64 (pow.f64 y y))) (+.f64 z (pow.f64 z 3)))) |
(fma.f64 (exp.f64 x) (*.f64 (+.f64 (*.f64 z z) 1) (pow.f64 y y)) (*.f64 (*.f64 (exp.f64 x) (pow.f64 y y)) (-.f64 (neg.f64 z) (pow.f64 z 3)))) |
(/.f64 (*.f64 (pow.f64 y y) (exp.f64 x)) z) |
(/.f64 (*.f64 (exp.f64 x) (pow.f64 y y)) z) |
(*.f64 (/.f64 (pow.f64 y y) z) (exp.f64 x)) |
(*.f64 (exp.f64 x) (/.f64 (pow.f64 y y) z)) |
(+.f64 (/.f64 (*.f64 (pow.f64 y y) (exp.f64 x)) z) (*.f64 -1 (/.f64 (*.f64 (pow.f64 y y) (exp.f64 x)) (pow.f64 z 2)))) |
(+.f64 (/.f64 (*.f64 (exp.f64 x) (pow.f64 y y)) z) (neg.f64 (/.f64 (pow.f64 y y) (/.f64 (*.f64 z z) (exp.f64 x))))) |
(-.f64 (*.f64 (/.f64 (pow.f64 y y) z) (exp.f64 x)) (*.f64 (/.f64 (pow.f64 y y) (*.f64 z z)) (exp.f64 x))) |
(*.f64 (/.f64 (pow.f64 y y) z) (-.f64 (exp.f64 x) (/.f64 (exp.f64 x) z))) |
(+.f64 (/.f64 (*.f64 (pow.f64 y y) (exp.f64 x)) z) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 y y) (exp.f64 x)) (pow.f64 z 2))) (/.f64 (*.f64 (pow.f64 y y) (exp.f64 x)) (pow.f64 z 3)))) |
(+.f64 (/.f64 (*.f64 (exp.f64 x) (pow.f64 y y)) z) (fma.f64 -1 (/.f64 (pow.f64 y y) (/.f64 (*.f64 z z) (exp.f64 x))) (/.f64 (*.f64 (exp.f64 x) (pow.f64 y y)) (pow.f64 z 3)))) |
(+.f64 (*.f64 (/.f64 (pow.f64 y y) z) (exp.f64 x)) (-.f64 (/.f64 (exp.f64 x) (/.f64 (pow.f64 z 3) (pow.f64 y y))) (*.f64 (/.f64 (pow.f64 y y) (*.f64 z z)) (exp.f64 x)))) |
(fma.f64 (/.f64 (pow.f64 y y) z) (exp.f64 x) (*.f64 (/.f64 (pow.f64 y y) (*.f64 z z)) (-.f64 (/.f64 (exp.f64 x) z) (exp.f64 x)))) |
(+.f64 (/.f64 (*.f64 (pow.f64 y y) (exp.f64 x)) z) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 y y) (exp.f64 x)) (pow.f64 z 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 y y) (exp.f64 x)) (pow.f64 z 4))) (/.f64 (*.f64 (pow.f64 y y) (exp.f64 x)) (pow.f64 z 3))))) |
(+.f64 (/.f64 (*.f64 (exp.f64 x) (pow.f64 y y)) z) (fma.f64 -1 (/.f64 (pow.f64 y y) (/.f64 (*.f64 z z) (exp.f64 x))) (fma.f64 -1 (/.f64 (*.f64 (exp.f64 x) (pow.f64 y y)) (pow.f64 z 4)) (/.f64 (*.f64 (exp.f64 x) (pow.f64 y y)) (pow.f64 z 3))))) |
(+.f64 (*.f64 (/.f64 (pow.f64 y y) z) (exp.f64 x)) (-.f64 (-.f64 (/.f64 (exp.f64 x) (/.f64 (pow.f64 z 3) (pow.f64 y y))) (/.f64 (exp.f64 x) (/.f64 (pow.f64 z 4) (pow.f64 y y)))) (*.f64 (/.f64 (pow.f64 y y) (*.f64 z z)) (exp.f64 x)))) |
(+.f64 (*.f64 (/.f64 (pow.f64 y y) z) (-.f64 (exp.f64 x) (/.f64 (exp.f64 x) z))) (*.f64 (exp.f64 x) (-.f64 (/.f64 (pow.f64 y y) (pow.f64 z 3)) (/.f64 (pow.f64 y y) (pow.f64 z 4))))) |
(/.f64 (*.f64 (pow.f64 y y) (exp.f64 x)) z) |
(/.f64 (*.f64 (exp.f64 x) (pow.f64 y y)) z) |
(*.f64 (/.f64 (pow.f64 y y) z) (exp.f64 x)) |
(*.f64 (exp.f64 x) (/.f64 (pow.f64 y y) z)) |
(+.f64 (/.f64 (*.f64 (pow.f64 y y) (exp.f64 x)) z) (*.f64 -1 (/.f64 (*.f64 (pow.f64 y y) (exp.f64 x)) (pow.f64 z 2)))) |
(+.f64 (/.f64 (*.f64 (exp.f64 x) (pow.f64 y y)) z) (neg.f64 (/.f64 (pow.f64 y y) (/.f64 (*.f64 z z) (exp.f64 x))))) |
(-.f64 (*.f64 (/.f64 (pow.f64 y y) z) (exp.f64 x)) (*.f64 (/.f64 (pow.f64 y y) (*.f64 z z)) (exp.f64 x))) |
(*.f64 (/.f64 (pow.f64 y y) z) (-.f64 (exp.f64 x) (/.f64 (exp.f64 x) z))) |
(+.f64 (/.f64 (*.f64 (pow.f64 y y) (exp.f64 x)) z) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 y y) (exp.f64 x)) (pow.f64 z 2))) (/.f64 (*.f64 (pow.f64 y y) (exp.f64 x)) (pow.f64 z 3)))) |
(+.f64 (/.f64 (*.f64 (exp.f64 x) (pow.f64 y y)) z) (fma.f64 -1 (/.f64 (pow.f64 y y) (/.f64 (*.f64 z z) (exp.f64 x))) (/.f64 (*.f64 (exp.f64 x) (pow.f64 y y)) (pow.f64 z 3)))) |
(+.f64 (*.f64 (/.f64 (pow.f64 y y) z) (exp.f64 x)) (-.f64 (/.f64 (exp.f64 x) (/.f64 (pow.f64 z 3) (pow.f64 y y))) (*.f64 (/.f64 (pow.f64 y y) (*.f64 z z)) (exp.f64 x)))) |
(fma.f64 (/.f64 (pow.f64 y y) z) (exp.f64 x) (*.f64 (/.f64 (pow.f64 y y) (*.f64 z z)) (-.f64 (/.f64 (exp.f64 x) z) (exp.f64 x)))) |
(+.f64 (/.f64 (*.f64 (pow.f64 y y) (exp.f64 x)) z) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 y y) (exp.f64 x)) (pow.f64 z 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 y y) (exp.f64 x)) (pow.f64 z 4))) (/.f64 (*.f64 (pow.f64 y y) (exp.f64 x)) (pow.f64 z 3))))) |
(+.f64 (/.f64 (*.f64 (exp.f64 x) (pow.f64 y y)) z) (fma.f64 -1 (/.f64 (pow.f64 y y) (/.f64 (*.f64 z z) (exp.f64 x))) (fma.f64 -1 (/.f64 (*.f64 (exp.f64 x) (pow.f64 y y)) (pow.f64 z 4)) (/.f64 (*.f64 (exp.f64 x) (pow.f64 y y)) (pow.f64 z 3))))) |
(+.f64 (*.f64 (/.f64 (pow.f64 y y) z) (exp.f64 x)) (-.f64 (-.f64 (/.f64 (exp.f64 x) (/.f64 (pow.f64 z 3) (pow.f64 y y))) (/.f64 (exp.f64 x) (/.f64 (pow.f64 z 4) (pow.f64 y y)))) (*.f64 (/.f64 (pow.f64 y y) (*.f64 z z)) (exp.f64 x)))) |
(+.f64 (*.f64 (/.f64 (pow.f64 y y) z) (-.f64 (exp.f64 x) (/.f64 (exp.f64 x) z))) (*.f64 (exp.f64 x) (-.f64 (/.f64 (pow.f64 y y) (pow.f64 z 3)) (/.f64 (pow.f64 y y) (pow.f64 z 4))))) |
(/.f64 (pow.f64 y y) (+.f64 1 z)) |
(+.f64 (/.f64 (*.f64 (pow.f64 y y) x) (+.f64 1 z)) (/.f64 (pow.f64 y y) (+.f64 1 z))) |
(+.f64 (/.f64 (pow.f64 y y) (+.f64 1 z)) (/.f64 (pow.f64 y y) (/.f64 (+.f64 1 z) x))) |
(+.f64 (/.f64 (pow.f64 y y) (+.f64 1 z)) (*.f64 (/.f64 (pow.f64 y y) (+.f64 1 z)) x)) |
(fma.f64 (/.f64 (pow.f64 y y) (+.f64 1 z)) x (/.f64 (pow.f64 y y) (+.f64 1 z))) |
(+.f64 (/.f64 (*.f64 (pow.f64 y y) x) (+.f64 1 z)) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 y y) (pow.f64 x 2)) (+.f64 1 z))) (/.f64 (pow.f64 y y) (+.f64 1 z)))) |
(+.f64 (/.f64 (pow.f64 y y) (/.f64 (+.f64 1 z) x)) (fma.f64 1/2 (/.f64 (pow.f64 y y) (/.f64 (+.f64 1 z) (*.f64 x x))) (/.f64 (pow.f64 y y) (+.f64 1 z)))) |
(+.f64 (*.f64 (/.f64 (pow.f64 y y) (+.f64 1 z)) x) (fma.f64 1/2 (/.f64 (*.f64 x x) (/.f64 (+.f64 1 z) (pow.f64 y y))) (/.f64 (pow.f64 y y) (+.f64 1 z)))) |
(fma.f64 (/.f64 (pow.f64 y y) (+.f64 1 z)) x (fma.f64 1/2 (/.f64 (pow.f64 y y) (/.f64 (+.f64 1 z) (*.f64 x x))) (/.f64 (pow.f64 y y) (+.f64 1 z)))) |
(+.f64 (/.f64 (*.f64 (pow.f64 y y) x) (+.f64 1 z)) (+.f64 (*.f64 1/6 (/.f64 (*.f64 (pow.f64 y y) (pow.f64 x 3)) (+.f64 1 z))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 y y) (pow.f64 x 2)) (+.f64 1 z))) (/.f64 (pow.f64 y y) (+.f64 1 z))))) |
(+.f64 (/.f64 (pow.f64 y y) (/.f64 (+.f64 1 z) x)) (fma.f64 1/6 (/.f64 (pow.f64 y y) (/.f64 (+.f64 1 z) (pow.f64 x 3))) (fma.f64 1/2 (/.f64 (pow.f64 y y) (/.f64 (+.f64 1 z) (*.f64 x x))) (/.f64 (pow.f64 y y) (+.f64 1 z))))) |
(+.f64 (*.f64 (/.f64 (pow.f64 y y) (+.f64 1 z)) x) (fma.f64 1/6 (*.f64 (/.f64 (pow.f64 y y) (+.f64 1 z)) (pow.f64 x 3)) (fma.f64 1/2 (/.f64 (*.f64 x x) (/.f64 (+.f64 1 z) (pow.f64 y y))) (/.f64 (pow.f64 y y) (+.f64 1 z))))) |
(fma.f64 1/6 (/.f64 (pow.f64 x 3) (/.f64 (+.f64 1 z) (pow.f64 y y))) (fma.f64 (/.f64 (pow.f64 y y) (+.f64 1 z)) x (fma.f64 1/2 (/.f64 (pow.f64 y y) (/.f64 (+.f64 1 z) (*.f64 x x))) (/.f64 (pow.f64 y y) (+.f64 1 z))))) |
(/.f64 (*.f64 (pow.f64 y y) (exp.f64 x)) (+.f64 1 z)) |
(/.f64 (pow.f64 y y) (/.f64 (+.f64 1 z) (exp.f64 x))) |
(*.f64 (/.f64 (pow.f64 y y) (+.f64 1 z)) (exp.f64 x)) |
(/.f64 (exp.f64 x) (/.f64 (+.f64 1 z) (pow.f64 y y))) |
(/.f64 (*.f64 (pow.f64 y y) (exp.f64 x)) (+.f64 1 z)) |
(/.f64 (pow.f64 y y) (/.f64 (+.f64 1 z) (exp.f64 x))) |
(*.f64 (/.f64 (pow.f64 y y) (+.f64 1 z)) (exp.f64 x)) |
(/.f64 (exp.f64 x) (/.f64 (+.f64 1 z) (pow.f64 y y))) |
(/.f64 (*.f64 (pow.f64 y y) (exp.f64 x)) (+.f64 1 z)) |
(/.f64 (pow.f64 y y) (/.f64 (+.f64 1 z) (exp.f64 x))) |
(*.f64 (/.f64 (pow.f64 y y) (+.f64 1 z)) (exp.f64 x)) |
(/.f64 (exp.f64 x) (/.f64 (+.f64 1 z) (pow.f64 y y))) |
(/.f64 (*.f64 (pow.f64 y y) (exp.f64 x)) (+.f64 1 z)) |
(/.f64 (pow.f64 y y) (/.f64 (+.f64 1 z) (exp.f64 x))) |
(*.f64 (/.f64 (pow.f64 y y) (+.f64 1 z)) (exp.f64 x)) |
(/.f64 (exp.f64 x) (/.f64 (+.f64 1 z) (pow.f64 y y))) |
(/.f64 (*.f64 (pow.f64 y y) (exp.f64 x)) (+.f64 1 z)) |
(/.f64 (pow.f64 y y) (/.f64 (+.f64 1 z) (exp.f64 x))) |
(*.f64 (/.f64 (pow.f64 y y) (+.f64 1 z)) (exp.f64 x)) |
(/.f64 (exp.f64 x) (/.f64 (+.f64 1 z) (pow.f64 y y))) |
(/.f64 (*.f64 (pow.f64 y y) (exp.f64 x)) (+.f64 1 z)) |
(/.f64 (pow.f64 y y) (/.f64 (+.f64 1 z) (exp.f64 x))) |
(*.f64 (/.f64 (pow.f64 y y) (+.f64 1 z)) (exp.f64 x)) |
(/.f64 (exp.f64 x) (/.f64 (+.f64 1 z) (pow.f64 y y))) |
(/.f64 (*.f64 (pow.f64 y y) (exp.f64 x)) (+.f64 1 z)) |
(/.f64 (pow.f64 y y) (/.f64 (+.f64 1 z) (exp.f64 x))) |
(*.f64 (/.f64 (pow.f64 y y) (+.f64 1 z)) (exp.f64 x)) |
(/.f64 (exp.f64 x) (/.f64 (+.f64 1 z) (pow.f64 y y))) |
(/.f64 (*.f64 (pow.f64 y y) (exp.f64 x)) (+.f64 1 z)) |
(/.f64 (pow.f64 y y) (/.f64 (+.f64 1 z) (exp.f64 x))) |
(*.f64 (/.f64 (pow.f64 y y) (+.f64 1 z)) (exp.f64 x)) |
(/.f64 (exp.f64 x) (/.f64 (+.f64 1 z) (pow.f64 y y))) |
(/.f64 1 (exp.f64 x)) |
(exp.f64 (neg.f64 x)) |
(+.f64 (/.f64 1 (exp.f64 x)) (/.f64 z (exp.f64 x))) |
(+.f64 (exp.f64 (neg.f64 x)) (/.f64 z (exp.f64 x))) |
(+.f64 (/.f64 1 (exp.f64 x)) (/.f64 z (exp.f64 x))) |
(+.f64 (exp.f64 (neg.f64 x)) (/.f64 z (exp.f64 x))) |
(+.f64 (/.f64 1 (exp.f64 x)) (/.f64 z (exp.f64 x))) |
(+.f64 (exp.f64 (neg.f64 x)) (/.f64 z (exp.f64 x))) |
(/.f64 z (exp.f64 x)) |
(+.f64 (/.f64 1 (exp.f64 x)) (/.f64 z (exp.f64 x))) |
(+.f64 (exp.f64 (neg.f64 x)) (/.f64 z (exp.f64 x))) |
(+.f64 (/.f64 1 (exp.f64 x)) (/.f64 z (exp.f64 x))) |
(+.f64 (exp.f64 (neg.f64 x)) (/.f64 z (exp.f64 x))) |
(+.f64 (/.f64 1 (exp.f64 x)) (/.f64 z (exp.f64 x))) |
(+.f64 (exp.f64 (neg.f64 x)) (/.f64 z (exp.f64 x))) |
(/.f64 z (exp.f64 x)) |
(+.f64 (/.f64 1 (exp.f64 x)) (/.f64 z (exp.f64 x))) |
(+.f64 (exp.f64 (neg.f64 x)) (/.f64 z (exp.f64 x))) |
(+.f64 (/.f64 1 (exp.f64 x)) (/.f64 z (exp.f64 x))) |
(+.f64 (exp.f64 (neg.f64 x)) (/.f64 z (exp.f64 x))) |
(+.f64 (/.f64 1 (exp.f64 x)) (/.f64 z (exp.f64 x))) |
(+.f64 (exp.f64 (neg.f64 x)) (/.f64 z (exp.f64 x))) |
(+.f64 1 z) |
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 (+.f64 1 z) x)) z)) |
(+.f64 1 (fma.f64 -1 (*.f64 x (+.f64 1 z)) z)) |
(+.f64 1 (-.f64 z (*.f64 x (+.f64 1 z)))) |
(fma.f64 x (-.f64 -1 z) (+.f64 1 z)) |
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (+.f64 1 z)) (*.f64 1/2 (+.f64 1 z))) (pow.f64 x 2))) (+.f64 1 (+.f64 (*.f64 -1 (*.f64 (+.f64 1 z) x)) z))) |
(fma.f64 -1 (*.f64 (*.f64 x x) (+.f64 -1/2 (*.f64 -1/2 z))) (+.f64 1 (fma.f64 -1 (*.f64 x (+.f64 1 z)) z))) |
(+.f64 (-.f64 z (*.f64 x (+.f64 1 z))) (fma.f64 (+.f64 1/2 (*.f64 z 1/2)) (*.f64 x x) 1)) |
(+.f64 1 (fma.f64 (*.f64 x x) (fma.f64 z 1/2 1/2) (-.f64 z (fma.f64 x z x)))) |
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (+.f64 1 z)) (*.f64 1/2 (+.f64 1 z))) (pow.f64 x 2))) (+.f64 1 (+.f64 (*.f64 -1 (*.f64 (+.f64 1 z) x)) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/2 (+.f64 1 z)) (+.f64 (*.f64 -1 (+.f64 (*.f64 -1 (+.f64 1 z)) (*.f64 1/2 (+.f64 1 z)))) (*.f64 1/6 (+.f64 1 z)))) (pow.f64 x 3))) z)))) |
(fma.f64 -1 (*.f64 (*.f64 x x) (+.f64 -1/2 (*.f64 -1/2 z))) (+.f64 1 (fma.f64 -1 (*.f64 x (+.f64 1 z)) (fma.f64 -1 (*.f64 (pow.f64 x 3) (fma.f64 -1/2 (+.f64 1 z) (fma.f64 -1 (+.f64 -1/2 (*.f64 -1/2 z)) (+.f64 1/6 (*.f64 z 1/6))))) z)))) |
(+.f64 (-.f64 (-.f64 z (*.f64 (pow.f64 x 3) (+.f64 (+.f64 1/6 (*.f64 z 1/6)) (*.f64 0 (+.f64 -1/2 (*.f64 z -1/2)))))) (*.f64 x (+.f64 1 z))) (fma.f64 (+.f64 1/2 (*.f64 z 1/2)) (*.f64 x x) 1)) |
(+.f64 1 (fma.f64 (*.f64 x x) (fma.f64 z 1/2 1/2) (fma.f64 (pow.f64 x 3) (*.f64 (+.f64 1 z) -1/6) (-.f64 z (fma.f64 x z x))))) |
Compiled 3323 to 1254 computations (62.3% saved)
6 alts after pruning (2 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 216 | 2 | 218 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 4 | 4 |
| Total | 217 | 6 | 223 |
| Status | Error | Program |
|---|---|---|
| ✓ | 0.7b | (exp.f64 (-.f64 x z)) |
| ▶ | 45.6b | (pow.f64 y y) |
| ✓ | 20.3b | (exp.f64 x) |
| ✓ | 26.6b | (/.f64 (pow.f64 y y) (exp.f64 z)) |
| ✓ | 18.7b | (exp.f64 (neg.f64 z)) |
| ▶ | 19.9b | (/.f64 (exp.f64 x) (+.f64 1 z)) |
Compiled 42 to 31 computations (26.2% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (/.f64 (exp.f64 x) (+.f64 1 z)) |
Compiled 17 to 10 computations (41.2% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | (/.f64 (exp.f64 x) (+.f64 1 z)) |
| 1.0ms | x | @ | 0 | (/.f64 (exp.f64 x) (+.f64 1 z)) |
| 1.0ms | x | @ | -inf | (/.f64 (exp.f64 x) (+.f64 1 z)) |
| 1.0ms | z | @ | inf | (/.f64 (exp.f64 x) (+.f64 1 z)) |
| 1.0ms | z | @ | 0 | (/.f64 (exp.f64 x) (+.f64 1 z)) |
| 1× | batch-egg-rewrite |
| 765× | pow1_binary64 |
| 710× | add-log-exp_binary64 |
| 710× | log1p-expm1-u_binary64 |
| 710× | expm1-log1p-u_binary64 |
| 695× | add-exp-log_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 9 |
| 1 | 143 | 8 |
| 2 | 1902 | 8 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (exp.f64 x) (+.f64 1 z)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (exp.f64 (-.f64 x (log1p.f64 z)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 x) (/.f64 1 (+.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (exp.f64 (-.f64 x (log1p.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 (-.f64 x (log1p.f64 z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) (*.f64 (cbrt.f64 (exp.f64 x)) (/.f64 1 (+.f64 1 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (exp.f64 (-.f64 x (log1p.f64 z)))) (pow.f64 (cbrt.f64 (exp.f64 (-.f64 x (log1p.f64 z)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 x (log1p.f64 z)))) 2) (cbrt.f64 (exp.f64 (-.f64 x (log1p.f64 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (exp.f64 x)) (*.f64 (sqrt.f64 (exp.f64 x)) (/.f64 1 (+.f64 1 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (exp.f64 (-.f64 x (log1p.f64 z)))) (sqrt.f64 (exp.f64 (-.f64 x (log1p.f64 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (exp.f64 x)) (/.f64 1 (+.f64 (neg.f64 z) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 1 z)) (exp.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) 1) (/.f64 (cbrt.f64 (exp.f64 x)) (+.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (exp.f64 x)) 1) (/.f64 (sqrt.f64 (exp.f64 x)) (+.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 z)) 2)) (/.f64 (exp.f64 x) (cbrt.f64 (+.f64 1 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) (pow.f64 (cbrt.f64 (+.f64 1 z)) 2)) (cbrt.f64 (exp.f64 (-.f64 x (log1p.f64 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (exp.f64 x)) (pow.f64 (cbrt.f64 (+.f64 1 z)) 2)) (/.f64 (sqrt.f64 (exp.f64 x)) (cbrt.f64 (+.f64 1 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (hypot.f64 1 (sqrt.f64 z))) (/.f64 (exp.f64 x) (hypot.f64 1 (sqrt.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) (hypot.f64 1 (sqrt.f64 z))) (/.f64 (cbrt.f64 (exp.f64 x)) (hypot.f64 1 (sqrt.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (exp.f64 x) (+.f64 1 (pow.f64 z 3))) (+.f64 1 (-.f64 (*.f64 z z) z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (exp.f64 x) (-.f64 1 (*.f64 z z))) (-.f64 1 z))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (-.f64 x (log1p.f64 z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (-.f64 x (log1p.f64 z))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (exp.f64 (-.f64 x (log1p.f64 z)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (exp.f64 (-.f64 x (log1p.f64 z)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (-.f64 (log1p.f64 z) x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (exp.f64 x) (+.f64 (neg.f64 z) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (exp.f64 (-.f64 x (log1p.f64 z))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (exp.f64 (-.f64 x (log1p.f64 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (exp.f64 (-.f64 x (log1p.f64 z))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (+.f64 1 z) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (exp.f64 (-.f64 x (log1p.f64 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (exp.f64 (-.f64 x (log1p.f64 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 x (log1p.f64 z))))))) |
| 1× | egg-herbie |
| 642× | associate-/l*_binary64 |
| 630× | fma-def_binary64 |
| 492× | associate-/l/_binary64 |
| 279× | associate-/r/_binary64 |
| 266× | unswap-sqr_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 48 | 357 |
| 1 | 129 | 338 |
| 2 | 329 | 312 |
| 3 | 1032 | 291 |
| 4 | 4188 | 272 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 1 (+.f64 1 z)) |
(+.f64 (/.f64 x (+.f64 1 z)) (/.f64 1 (+.f64 1 z))) |
(+.f64 (/.f64 x (+.f64 1 z)) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 z))) (/.f64 1 (+.f64 1 z)))) |
(+.f64 (*.f64 1/6 (/.f64 (pow.f64 x 3) (+.f64 1 z))) (+.f64 (/.f64 x (+.f64 1 z)) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 z))) (/.f64 1 (+.f64 1 z))))) |
(exp.f64 x) |
(+.f64 (*.f64 -1 (*.f64 z (exp.f64 x))) (exp.f64 x)) |
(+.f64 (*.f64 -1 (*.f64 z (exp.f64 x))) (+.f64 (exp.f64 x) (*.f64 (exp.f64 x) (pow.f64 z 2)))) |
(+.f64 (*.f64 -1 (*.f64 (pow.f64 z 3) (exp.f64 x))) (+.f64 (*.f64 -1 (*.f64 z (exp.f64 x))) (+.f64 (exp.f64 x) (*.f64 (exp.f64 x) (pow.f64 z 2))))) |
(/.f64 (exp.f64 x) z) |
(+.f64 (/.f64 (exp.f64 x) z) (*.f64 -1 (/.f64 (exp.f64 x) (pow.f64 z 2)))) |
(+.f64 (/.f64 (exp.f64 x) z) (+.f64 (*.f64 -1 (/.f64 (exp.f64 x) (pow.f64 z 2))) (/.f64 (exp.f64 x) (pow.f64 z 3)))) |
(+.f64 (/.f64 (exp.f64 x) z) (+.f64 (*.f64 -1 (/.f64 (exp.f64 x) (pow.f64 z 2))) (+.f64 (*.f64 -1 (/.f64 (exp.f64 x) (pow.f64 z 4))) (/.f64 (exp.f64 x) (pow.f64 z 3))))) |
(/.f64 (exp.f64 x) z) |
(+.f64 (/.f64 (exp.f64 x) z) (*.f64 -1 (/.f64 (exp.f64 x) (pow.f64 z 2)))) |
(+.f64 (/.f64 (exp.f64 x) z) (+.f64 (*.f64 -1 (/.f64 (exp.f64 x) (pow.f64 z 2))) (/.f64 (exp.f64 x) (pow.f64 z 3)))) |
(+.f64 (/.f64 (exp.f64 x) z) (+.f64 (*.f64 -1 (/.f64 (exp.f64 x) (pow.f64 z 2))) (+.f64 (*.f64 -1 (/.f64 (exp.f64 x) (pow.f64 z 4))) (/.f64 (exp.f64 x) (pow.f64 z 3))))) |
| Outputs |
|---|
(/.f64 1 (+.f64 1 z)) |
(+.f64 (/.f64 x (+.f64 1 z)) (/.f64 1 (+.f64 1 z))) |
(+.f64 (/.f64 1 (+.f64 1 z)) (/.f64 x (+.f64 1 z))) |
(+.f64 (/.f64 x (+.f64 1 z)) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 z))) (/.f64 1 (+.f64 1 z)))) |
(+.f64 (/.f64 x (+.f64 1 z)) (fma.f64 1/2 (/.f64 (*.f64 x x) (+.f64 1 z)) (/.f64 1 (+.f64 1 z)))) |
(+.f64 (/.f64 x (+.f64 1 z)) (fma.f64 1/2 (/.f64 x (/.f64 (+.f64 1 z) x)) (/.f64 1 (+.f64 1 z)))) |
(+.f64 (/.f64 1 (+.f64 1 z)) (fma.f64 1/2 (/.f64 (*.f64 x x) (+.f64 1 z)) (/.f64 x (+.f64 1 z)))) |
(+.f64 (*.f64 1/6 (/.f64 (pow.f64 x 3) (+.f64 1 z))) (+.f64 (/.f64 x (+.f64 1 z)) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 z))) (/.f64 1 (+.f64 1 z))))) |
(fma.f64 1/6 (/.f64 (pow.f64 x 3) (+.f64 1 z)) (+.f64 (/.f64 x (+.f64 1 z)) (fma.f64 1/2 (/.f64 (*.f64 x x) (+.f64 1 z)) (/.f64 1 (+.f64 1 z))))) |
(+.f64 (fma.f64 1/2 (/.f64 x (/.f64 (+.f64 1 z) x)) (/.f64 1 (+.f64 1 z))) (fma.f64 1/6 (/.f64 (pow.f64 x 3) (+.f64 1 z)) (/.f64 x (+.f64 1 z)))) |
(+.f64 (/.f64 x (+.f64 1 z)) (fma.f64 1/6 (/.f64 (pow.f64 x 3) (+.f64 1 z)) (fma.f64 1/2 (/.f64 (*.f64 x x) (+.f64 1 z)) (/.f64 1 (+.f64 1 z))))) |
(+.f64 (/.f64 x (+.f64 1 z)) (fma.f64 1/2 (/.f64 x (/.f64 (+.f64 1 z) x)) (fma.f64 1/6 (/.f64 (pow.f64 x 3) (+.f64 1 z)) (/.f64 1 (+.f64 1 z))))) |
(+.f64 (/.f64 1 (+.f64 1 z)) (+.f64 (/.f64 x (+.f64 1 z)) (*.f64 (/.f64 (*.f64 x x) (+.f64 1 z)) (+.f64 1/2 (*.f64 x 1/6))))) |
(exp.f64 x) |
(+.f64 (*.f64 -1 (*.f64 z (exp.f64 x))) (exp.f64 x)) |
(fma.f64 -1 (*.f64 z (exp.f64 x)) (exp.f64 x)) |
(-.f64 (exp.f64 x) (*.f64 z (exp.f64 x))) |
(*.f64 (exp.f64 x) (fma.f64 z -1 1)) |
(*.f64 (exp.f64 x) (-.f64 1 z)) |
(+.f64 (*.f64 -1 (*.f64 z (exp.f64 x))) (+.f64 (exp.f64 x) (*.f64 (exp.f64 x) (pow.f64 z 2)))) |
(+.f64 (fma.f64 -1 (*.f64 z (exp.f64 x)) (exp.f64 x)) (*.f64 (exp.f64 x) (*.f64 z z))) |
(-.f64 (fma.f64 (exp.f64 x) (*.f64 z z) (exp.f64 x)) (*.f64 z (exp.f64 x))) |
(*.f64 (exp.f64 x) (-.f64 (fma.f64 z z 1) z)) |
(+.f64 (*.f64 -1 (*.f64 (pow.f64 z 3) (exp.f64 x))) (+.f64 (*.f64 -1 (*.f64 z (exp.f64 x))) (+.f64 (exp.f64 x) (*.f64 (exp.f64 x) (pow.f64 z 2))))) |
(fma.f64 -1 (*.f64 (exp.f64 x) (pow.f64 z 3)) (+.f64 (fma.f64 -1 (*.f64 z (exp.f64 x)) (exp.f64 x)) (*.f64 (exp.f64 x) (*.f64 z z)))) |
(+.f64 (fma.f64 (exp.f64 x) (*.f64 z z) (exp.f64 x)) (*.f64 (exp.f64 x) (+.f64 (neg.f64 (pow.f64 z 3)) (neg.f64 z)))) |
(fma.f64 (fma.f64 z z 1) (exp.f64 x) (*.f64 (exp.f64 x) (-.f64 (neg.f64 (pow.f64 z 3)) z))) |
(*.f64 (fma.f64 z z 1) (*.f64 (exp.f64 x) (-.f64 1 z))) |
(/.f64 (exp.f64 x) z) |
(+.f64 (/.f64 (exp.f64 x) z) (*.f64 -1 (/.f64 (exp.f64 x) (pow.f64 z 2)))) |
(+.f64 (/.f64 (exp.f64 x) z) (neg.f64 (/.f64 (exp.f64 x) (*.f64 z z)))) |
(-.f64 (/.f64 (exp.f64 x) z) (/.f64 (exp.f64 x) (*.f64 z z))) |
(*.f64 (+.f64 (/.f64 -1 z) 1) (/.f64 (exp.f64 x) z)) |
(*.f64 (/.f64 (exp.f64 x) z) (+.f64 1 (/.f64 -1 z))) |
(+.f64 (/.f64 (exp.f64 x) z) (+.f64 (*.f64 -1 (/.f64 (exp.f64 x) (pow.f64 z 2))) (/.f64 (exp.f64 x) (pow.f64 z 3)))) |
(+.f64 (/.f64 (exp.f64 x) z) (fma.f64 -1 (/.f64 (exp.f64 x) (*.f64 z z)) (/.f64 (exp.f64 x) (pow.f64 z 3)))) |
(+.f64 (/.f64 (exp.f64 x) z) (-.f64 (/.f64 (exp.f64 x) (pow.f64 z 3)) (/.f64 (exp.f64 x) (*.f64 z z)))) |
(+.f64 (*.f64 (+.f64 (/.f64 -1 z) 1) (/.f64 (exp.f64 x) z)) (/.f64 (exp.f64 x) (pow.f64 z 3))) |
(fma.f64 (+.f64 1 (/.f64 -1 z)) (/.f64 (exp.f64 x) z) (/.f64 (exp.f64 x) (pow.f64 z 3))) |
(+.f64 (/.f64 (exp.f64 x) z) (+.f64 (*.f64 -1 (/.f64 (exp.f64 x) (pow.f64 z 2))) (+.f64 (*.f64 -1 (/.f64 (exp.f64 x) (pow.f64 z 4))) (/.f64 (exp.f64 x) (pow.f64 z 3))))) |
(+.f64 (/.f64 (exp.f64 x) z) (fma.f64 -1 (/.f64 (exp.f64 x) (*.f64 z z)) (fma.f64 -1 (/.f64 (exp.f64 x) (pow.f64 z 4)) (/.f64 (exp.f64 x) (pow.f64 z 3))))) |
(+.f64 (/.f64 (exp.f64 x) z) (-.f64 (-.f64 (/.f64 (exp.f64 x) (pow.f64 z 3)) (/.f64 (exp.f64 x) (pow.f64 z 4))) (/.f64 (exp.f64 x) (*.f64 z z)))) |
(+.f64 (*.f64 (+.f64 (/.f64 -1 z) 1) (/.f64 (exp.f64 x) z)) (-.f64 (/.f64 (exp.f64 x) (pow.f64 z 3)) (/.f64 (exp.f64 x) (pow.f64 z 4)))) |
(fma.f64 (+.f64 1 (/.f64 -1 z)) (/.f64 (exp.f64 x) z) (*.f64 (+.f64 1 (/.f64 -1 z)) (/.f64 (exp.f64 x) (pow.f64 z 3)))) |
(*.f64 (+.f64 1 (/.f64 -1 z)) (+.f64 (/.f64 (exp.f64 x) z) (/.f64 (exp.f64 x) (pow.f64 z 3)))) |
(/.f64 (exp.f64 x) z) |
(+.f64 (/.f64 (exp.f64 x) z) (*.f64 -1 (/.f64 (exp.f64 x) (pow.f64 z 2)))) |
(+.f64 (/.f64 (exp.f64 x) z) (neg.f64 (/.f64 (exp.f64 x) (*.f64 z z)))) |
(-.f64 (/.f64 (exp.f64 x) z) (/.f64 (exp.f64 x) (*.f64 z z))) |
(*.f64 (+.f64 (/.f64 -1 z) 1) (/.f64 (exp.f64 x) z)) |
(*.f64 (/.f64 (exp.f64 x) z) (+.f64 1 (/.f64 -1 z))) |
(+.f64 (/.f64 (exp.f64 x) z) (+.f64 (*.f64 -1 (/.f64 (exp.f64 x) (pow.f64 z 2))) (/.f64 (exp.f64 x) (pow.f64 z 3)))) |
(+.f64 (/.f64 (exp.f64 x) z) (fma.f64 -1 (/.f64 (exp.f64 x) (*.f64 z z)) (/.f64 (exp.f64 x) (pow.f64 z 3)))) |
(+.f64 (/.f64 (exp.f64 x) z) (-.f64 (/.f64 (exp.f64 x) (pow.f64 z 3)) (/.f64 (exp.f64 x) (*.f64 z z)))) |
(+.f64 (*.f64 (+.f64 (/.f64 -1 z) 1) (/.f64 (exp.f64 x) z)) (/.f64 (exp.f64 x) (pow.f64 z 3))) |
(fma.f64 (+.f64 1 (/.f64 -1 z)) (/.f64 (exp.f64 x) z) (/.f64 (exp.f64 x) (pow.f64 z 3))) |
(+.f64 (/.f64 (exp.f64 x) z) (+.f64 (*.f64 -1 (/.f64 (exp.f64 x) (pow.f64 z 2))) (+.f64 (*.f64 -1 (/.f64 (exp.f64 x) (pow.f64 z 4))) (/.f64 (exp.f64 x) (pow.f64 z 3))))) |
(+.f64 (/.f64 (exp.f64 x) z) (fma.f64 -1 (/.f64 (exp.f64 x) (*.f64 z z)) (fma.f64 -1 (/.f64 (exp.f64 x) (pow.f64 z 4)) (/.f64 (exp.f64 x) (pow.f64 z 3))))) |
(+.f64 (/.f64 (exp.f64 x) z) (-.f64 (-.f64 (/.f64 (exp.f64 x) (pow.f64 z 3)) (/.f64 (exp.f64 x) (pow.f64 z 4))) (/.f64 (exp.f64 x) (*.f64 z z)))) |
(+.f64 (*.f64 (+.f64 (/.f64 -1 z) 1) (/.f64 (exp.f64 x) z)) (-.f64 (/.f64 (exp.f64 x) (pow.f64 z 3)) (/.f64 (exp.f64 x) (pow.f64 z 4)))) |
(fma.f64 (+.f64 1 (/.f64 -1 z)) (/.f64 (exp.f64 x) z) (*.f64 (+.f64 1 (/.f64 -1 z)) (/.f64 (exp.f64 x) (pow.f64 z 3)))) |
(*.f64 (+.f64 1 (/.f64 -1 z)) (+.f64 (/.f64 (exp.f64 x) z) (/.f64 (exp.f64 x) (pow.f64 z 3)))) |
Compiled 7 to 4 computations (42.9% saved)
Compiled 677 to 358 computations (47.1% saved)
9 alts after pruning (3 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 51 | 3 | 54 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 5 | 5 |
| Total | 51 | 9 | 60 |
| Status | Error | Program |
|---|---|---|
| ✓ | 0.7b | (exp.f64 (-.f64 x z)) |
| ✓ | 45.6b | (pow.f64 y y) |
| ▶ | 45.2b | (+.f64 (/.f64 x (+.f64 1 z)) (/.f64 1 (+.f64 1 z))) |
| ✓ | 19.9b | (/.f64 (exp.f64 x) (+.f64 1 z)) |
| ✓ | 20.3b | (exp.f64 x) |
| ✓ | 26.6b | (/.f64 (pow.f64 y y) (exp.f64 z)) |
| ▶ | 45.7b | (+.f64 (/.f64 1 (+.f64 1 z)) (+.f64 (/.f64 x (+.f64 1 z)) (*.f64 (/.f64 (*.f64 x x) (+.f64 1 z)) (+.f64 1/2 (*.f64 x 1/6))))) |
| ✓ | 18.7b | (exp.f64 (neg.f64 z)) |
| ▶ | 44.9b | (/.f64 1 (+.f64 1 z)) |
Compiled 92 to 70 computations (23.9% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (/.f64 1 (+.f64 1 z)) |
| ✓ | 0.1b | (*.f64 (/.f64 (*.f64 x x) (+.f64 1 z)) (+.f64 1/2 (*.f64 x 1/6))) |
| ✓ | 0.3b | (*.f64 x 1/6) |
| ✓ | 3.8b | (/.f64 (*.f64 x x) (+.f64 1 z)) |
Compiled 96 to 62 computations (35.4% saved)
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | z | @ | 0 | (*.f64 (/.f64 (*.f64 x x) (+.f64 1 z)) (+.f64 1/2 (*.f64 x 1/6))) |
| 1.0ms | x | @ | 0 | (/.f64 (*.f64 x x) (+.f64 1 z)) |
| 1.0ms | x | @ | inf | (/.f64 (*.f64 x x) (+.f64 1 z)) |
| 1.0ms | x | @ | inf | (*.f64 (/.f64 (*.f64 x x) (+.f64 1 z)) (+.f64 1/2 (*.f64 x 1/6))) |
| 1.0ms | x | @ | 0 | (*.f64 (/.f64 (*.f64 x x) (+.f64 1 z)) (+.f64 1/2 (*.f64 x 1/6))) |
| 1× | batch-egg-rewrite |
| 683× | log-prod_binary64 |
| 464× | prod-diff_binary64 |
| 295× | fma-def_binary64 |
| 247× | expm1-udef_binary64 |
| 247× | log1p-udef_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 40 |
| 1 | 293 | 38 |
| 2 | 4099 | 38 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (*.f64 x x) (+.f64 1 z)) |
(*.f64 x 1/6) |
(*.f64 (/.f64 (*.f64 x x) (+.f64 1 z)) (+.f64 1/2 (*.f64 x 1/6))) |
(/.f64 1 (+.f64 1 z)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (/.f64 x (+.f64 1 z)) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (*.f64 (/.f64 x (+.f64 1 z)) x))) (cbrt.f64 (exp.f64 (*.f64 (/.f64 x (+.f64 1 z)) x))))) (log.f64 (cbrt.f64 (exp.f64 (*.f64 (/.f64 x (+.f64 1 z)) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 (/.f64 x (+.f64 1 z)) x)))) (log.f64 (sqrt.f64 (exp.f64 (*.f64 (/.f64 x (+.f64 1 z)) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 x (+.f64 1 z)) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 1 (/.f64 (+.f64 1 z) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 x (/.f64 1 (+.f64 1 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x x) (/.f64 1 (+.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (/.f64 x (+.f64 1 z)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 x (+.f64 1 z)) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 1 z)) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 x 4)) (*.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 1 (+.f64 1 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (/.f64 x (+.f64 1 z)) x)) (pow.f64 (cbrt.f64 (*.f64 (/.f64 x (+.f64 1 z)) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 x (+.f64 1 z)) x)) 2) (cbrt.f64 (*.f64 (/.f64 x (+.f64 1 z)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 1 z) -1/2) (/.f64 (*.f64 x x) (sqrt.f64 (+.f64 1 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (sqrt.f64 (+.f64 1 z))) (/.f64 x (sqrt.f64 (+.f64 1 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (neg.f64 x)) (/.f64 1 (+.f64 -1 (neg.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x 1) (/.f64 x (+.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (+.f64 1 z)) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) 1) (/.f64 (pow.f64 (cbrt.f64 x) 2) (+.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (cbrt.f64 (pow.f64 (+.f64 1 z) 2))) (/.f64 x (cbrt.f64 (+.f64 1 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (pow.f64 (+.f64 1 z) 2))) (/.f64 (*.f64 x x) (cbrt.f64 (+.f64 1 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) (cbrt.f64 (pow.f64 (+.f64 1 z) 2))) (cbrt.f64 (*.f64 (/.f64 x (+.f64 1 z)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) (sqrt.f64 (+.f64 1 z))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (+.f64 1 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x x) (+.f64 1 (pow.f64 z 3))) (fma.f64 z (-.f64 z 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x x) (-.f64 1 (*.f64 z z))) (-.f64 1 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 x x) (cbrt.f64 (pow.f64 (+.f64 1 z) -2))) (cbrt.f64 (/.f64 1 (+.f64 1 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 x x) (pow.f64 (+.f64 1 z) -1/2)) (pow.f64 (+.f64 1 z) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 x (+.f64 1 z)) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 x (+.f64 1 z)) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 x (+.f64 1 z)) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (sqrt.f64 (+.f64 1 z))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 1 z) (*.f64 x x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 x x) (+.f64 -1 (neg.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 x 4) (pow.f64 (+.f64 1 z) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (/.f64 x (+.f64 1 z)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 x (+.f64 1 z)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 x (+.f64 1 z)) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (+.f64 1 z) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (/.f64 1 (+.f64 1 z)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 x (+.f64 1 z)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 x (+.f64 1 z)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 2 (log.f64 x)) (log1p.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 (*.f64 2 (log.f64 x)) (log1p.f64 z)) 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 x 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 1/6) x)) (cbrt.f64 (pow.f64 (exp.f64 1/6) x)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 1/6) x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/6) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/6) x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x 1/6))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x 1/6) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x 1/6)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x 1/6)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/216 (pow.f64 x 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (*.f64 x x) 1/36))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/6) x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 1/216 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x 1/6)) 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (*.f64 (/.f64 x (+.f64 1 z)) x) (fma.f64 x 1/6 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 (*.f64 x x) 1/2) (+.f64 1 z)) (*.f64 (*.f64 (/.f64 x (+.f64 1 z)) x) (*.f64 x 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (/.f64 x (+.f64 1 z)) x) (*.f64 x 1/6)) (/.f64 (*.f64 (*.f64 x x) 1/2) (+.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (*.f64 (*.f64 x x) 1/2) (+.f64 1 z)) 1) (*.f64 (*.f64 (*.f64 (/.f64 x (+.f64 1 z)) x) (*.f64 x 1/6)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 x 1/6 1/2)) (*.f64 (/.f64 x (+.f64 1 z)) x))) (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 x 1/6 1/2)) (*.f64 (/.f64 x (+.f64 1 z)) x))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 x 1/6 1/2)) (*.f64 (/.f64 x (+.f64 1 z)) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 x 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 1 (+.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 1 z)))) (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 1 z)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 1 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 1 z))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 1 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 1 z)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (+.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 1 z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1 (+.f64 1 z))) (cbrt.f64 (pow.f64 (+.f64 1 z) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 1 z) -2)) (cbrt.f64 (/.f64 1 (+.f64 1 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 1 z) -1/2) (pow.f64 (+.f64 1 z) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (+.f64 -1 (neg.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (+.f64 1 z) 2)) -1) (pow.f64 (cbrt.f64 (+.f64 1 z)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (+.f64 1 z)) -1) (pow.f64 (sqrt.f64 (+.f64 1 z)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 1 (pow.f64 z 3))) (fma.f64 z (-.f64 z 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 1 (*.f64 z z))) (-.f64 1 z))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 1 z) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (+.f64 1 z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1 (+.f64 1 z)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 1 (+.f64 1 z))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 z) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 1 z) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (+.f64 1 z))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 1 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1 (+.f64 1 z)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (+.f64 1 z))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (+.f64 1 z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log1p.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 z) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log1p.f64 z)) 1)))))) |
| 1× | egg-herbie |
| 553× | fma-def_binary64 |
| 382× | associate-/l/_binary64 |
| 356× | distribute-rgt-out--_binary64 |
| 317× | distribute-rgt-in_binary64 |
| 300× | distribute-rgt-neg-in_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 81 | 1440 |
| 1 | 247 | 1322 |
| 2 | 843 | 1199 |
| 3 | 4258 | 1106 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (pow.f64 x 2) (+.f64 1 z)) |
(/.f64 (pow.f64 x 2) (+.f64 1 z)) |
(/.f64 (pow.f64 x 2) (+.f64 1 z)) |
(/.f64 (pow.f64 x 2) (+.f64 1 z)) |
(/.f64 (pow.f64 x 2) (+.f64 1 z)) |
(/.f64 (pow.f64 x 2) (+.f64 1 z)) |
(/.f64 (pow.f64 x 2) (+.f64 1 z)) |
(/.f64 (pow.f64 x 2) (+.f64 1 z)) |
(/.f64 (pow.f64 x 2) (+.f64 1 z)) |
(/.f64 (pow.f64 x 2) (+.f64 1 z)) |
(/.f64 (pow.f64 x 2) (+.f64 1 z)) |
(/.f64 (pow.f64 x 2) (+.f64 1 z)) |
(pow.f64 x 2) |
(+.f64 (*.f64 -1 (*.f64 z (pow.f64 x 2))) (pow.f64 x 2)) |
(+.f64 (*.f64 -1 (*.f64 z (pow.f64 x 2))) (+.f64 (pow.f64 x 2) (*.f64 (pow.f64 z 2) (pow.f64 x 2)))) |
(+.f64 (*.f64 -1 (*.f64 z (pow.f64 x 2))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 z 3) (pow.f64 x 2))) (+.f64 (pow.f64 x 2) (*.f64 (pow.f64 z 2) (pow.f64 x 2))))) |
(/.f64 (pow.f64 x 2) z) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 z 2))) (/.f64 (pow.f64 x 2) z)) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 z 2))) (+.f64 (/.f64 (pow.f64 x 2) z) (/.f64 (pow.f64 x 2) (pow.f64 z 3)))) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 z 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 z 4))) (+.f64 (/.f64 (pow.f64 x 2) z) (/.f64 (pow.f64 x 2) (pow.f64 z 3))))) |
(/.f64 (pow.f64 x 2) z) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 z 2))) (/.f64 (pow.f64 x 2) z)) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 z 2))) (+.f64 (/.f64 (pow.f64 x 2) z) (/.f64 (pow.f64 x 2) (pow.f64 z 3)))) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 z 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 z 4))) (+.f64 (/.f64 (pow.f64 x 2) z) (/.f64 (pow.f64 x 2) (pow.f64 z 3))))) |
(*.f64 1/6 x) |
(*.f64 1/6 x) |
(*.f64 1/6 x) |
(*.f64 1/6 x) |
(*.f64 1/6 x) |
(*.f64 1/6 x) |
(*.f64 1/6 x) |
(*.f64 1/6 x) |
(*.f64 1/6 x) |
(*.f64 1/6 x) |
(*.f64 1/6 x) |
(*.f64 1/6 x) |
(*.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 z))) |
(+.f64 (*.f64 1/6 (/.f64 (pow.f64 x 3) (+.f64 1 z))) (*.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 z)))) |
(+.f64 (*.f64 1/6 (/.f64 (pow.f64 x 3) (+.f64 1 z))) (*.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 z)))) |
(+.f64 (*.f64 1/6 (/.f64 (pow.f64 x 3) (+.f64 1 z))) (*.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 z)))) |
(*.f64 1/6 (/.f64 (pow.f64 x 3) (+.f64 1 z))) |
(+.f64 (*.f64 1/6 (/.f64 (pow.f64 x 3) (+.f64 1 z))) (*.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 z)))) |
(+.f64 (*.f64 1/6 (/.f64 (pow.f64 x 3) (+.f64 1 z))) (*.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 z)))) |
(+.f64 (*.f64 1/6 (/.f64 (pow.f64 x 3) (+.f64 1 z))) (*.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 z)))) |
(*.f64 1/6 (/.f64 (pow.f64 x 3) (+.f64 1 z))) |
(+.f64 (*.f64 1/6 (/.f64 (pow.f64 x 3) (+.f64 1 z))) (*.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 z)))) |
(+.f64 (*.f64 1/6 (/.f64 (pow.f64 x 3) (+.f64 1 z))) (*.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 z)))) |
(+.f64 (*.f64 1/6 (/.f64 (pow.f64 x 3) (+.f64 1 z))) (*.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 z)))) |
(*.f64 (+.f64 1/2 (*.f64 1/6 x)) (pow.f64 x 2)) |
(+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 (*.f64 1/6 x)) (*.f64 z (pow.f64 x 2)))) (*.f64 (+.f64 1/2 (*.f64 1/6 x)) (pow.f64 x 2))) |
(+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 (*.f64 1/6 x)) (*.f64 z (pow.f64 x 2)))) (+.f64 (*.f64 (+.f64 1/2 (*.f64 1/6 x)) (pow.f64 x 2)) (*.f64 (+.f64 1/2 (*.f64 1/6 x)) (*.f64 (pow.f64 z 2) (pow.f64 x 2))))) |
(+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 (*.f64 1/6 x)) (*.f64 z (pow.f64 x 2)))) (+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 (*.f64 1/6 x)) (*.f64 (pow.f64 z 3) (pow.f64 x 2)))) (+.f64 (*.f64 (+.f64 1/2 (*.f64 1/6 x)) (pow.f64 x 2)) (*.f64 (+.f64 1/2 (*.f64 1/6 x)) (*.f64 (pow.f64 z 2) (pow.f64 x 2)))))) |
(/.f64 (*.f64 (+.f64 1/2 (*.f64 1/6 x)) (pow.f64 x 2)) z) |
(+.f64 (/.f64 (*.f64 (+.f64 1/2 (*.f64 1/6 x)) (pow.f64 x 2)) z) (*.f64 -1 (/.f64 (*.f64 (+.f64 1/2 (*.f64 1/6 x)) (pow.f64 x 2)) (pow.f64 z 2)))) |
(+.f64 (/.f64 (*.f64 (+.f64 1/2 (*.f64 1/6 x)) (pow.f64 x 2)) z) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1/2 (*.f64 1/6 x)) (pow.f64 x 2)) (pow.f64 z 2))) (/.f64 (*.f64 (+.f64 1/2 (*.f64 1/6 x)) (pow.f64 x 2)) (pow.f64 z 3)))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1/2 (*.f64 1/6 x)) (pow.f64 x 2)) (pow.f64 z 4))) (+.f64 (/.f64 (*.f64 (+.f64 1/2 (*.f64 1/6 x)) (pow.f64 x 2)) z) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1/2 (*.f64 1/6 x)) (pow.f64 x 2)) (pow.f64 z 2))) (/.f64 (*.f64 (+.f64 1/2 (*.f64 1/6 x)) (pow.f64 x 2)) (pow.f64 z 3))))) |
(/.f64 (*.f64 (+.f64 1/2 (*.f64 1/6 x)) (pow.f64 x 2)) z) |
(+.f64 (/.f64 (*.f64 (+.f64 1/2 (*.f64 1/6 x)) (pow.f64 x 2)) z) (*.f64 -1 (/.f64 (*.f64 (+.f64 1/2 (*.f64 1/6 x)) (pow.f64 x 2)) (pow.f64 z 2)))) |
(+.f64 (/.f64 (*.f64 (+.f64 1/2 (*.f64 1/6 x)) (pow.f64 x 2)) z) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1/2 (*.f64 1/6 x)) (pow.f64 x 2)) (pow.f64 z 2))) (/.f64 (*.f64 (+.f64 1/2 (*.f64 1/6 x)) (pow.f64 x 2)) (pow.f64 z 3)))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1/2 (*.f64 1/6 x)) (pow.f64 x 2)) (pow.f64 z 4))) (+.f64 (/.f64 (*.f64 (+.f64 1/2 (*.f64 1/6 x)) (pow.f64 x 2)) z) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1/2 (*.f64 1/6 x)) (pow.f64 x 2)) (pow.f64 z 2))) (/.f64 (*.f64 (+.f64 1/2 (*.f64 1/6 x)) (pow.f64 x 2)) (pow.f64 z 3))))) |
1 |
(+.f64 (*.f64 -1 z) 1) |
(+.f64 (*.f64 -1 z) (+.f64 (pow.f64 z 2) 1)) |
(+.f64 (*.f64 -1 z) (+.f64 (*.f64 -1 (pow.f64 z 3)) (+.f64 (pow.f64 z 2) 1))) |
(/.f64 1 z) |
(-.f64 (/.f64 1 z) (/.f64 1 (pow.f64 z 2))) |
(-.f64 (+.f64 (/.f64 1 (pow.f64 z 3)) (/.f64 1 z)) (/.f64 1 (pow.f64 z 2))) |
(-.f64 (+.f64 (/.f64 1 (pow.f64 z 3)) (/.f64 1 z)) (+.f64 (/.f64 1 (pow.f64 z 2)) (/.f64 1 (pow.f64 z 4)))) |
(/.f64 1 z) |
(-.f64 (/.f64 1 z) (/.f64 1 (pow.f64 z 2))) |
(-.f64 (+.f64 (/.f64 1 (pow.f64 z 3)) (/.f64 1 z)) (/.f64 1 (pow.f64 z 2))) |
(-.f64 (+.f64 (/.f64 1 (pow.f64 z 3)) (/.f64 1 z)) (+.f64 (/.f64 1 (pow.f64 z 2)) (/.f64 1 (pow.f64 z 4)))) |
| Outputs |
|---|
(/.f64 (pow.f64 x 2) (+.f64 1 z)) |
(/.f64 (*.f64 x x) (+.f64 1 z)) |
(/.f64 x (/.f64 (+.f64 1 z) x)) |
(/.f64 (pow.f64 x 2) (+.f64 1 z)) |
(/.f64 (*.f64 x x) (+.f64 1 z)) |
(/.f64 x (/.f64 (+.f64 1 z) x)) |
(/.f64 (pow.f64 x 2) (+.f64 1 z)) |
(/.f64 (*.f64 x x) (+.f64 1 z)) |
(/.f64 x (/.f64 (+.f64 1 z) x)) |
(/.f64 (pow.f64 x 2) (+.f64 1 z)) |
(/.f64 (*.f64 x x) (+.f64 1 z)) |
(/.f64 x (/.f64 (+.f64 1 z) x)) |
(/.f64 (pow.f64 x 2) (+.f64 1 z)) |
(/.f64 (*.f64 x x) (+.f64 1 z)) |
(/.f64 x (/.f64 (+.f64 1 z) x)) |
(/.f64 (pow.f64 x 2) (+.f64 1 z)) |
(/.f64 (*.f64 x x) (+.f64 1 z)) |
(/.f64 x (/.f64 (+.f64 1 z) x)) |
(/.f64 (pow.f64 x 2) (+.f64 1 z)) |
(/.f64 (*.f64 x x) (+.f64 1 z)) |
(/.f64 x (/.f64 (+.f64 1 z) x)) |
(/.f64 (pow.f64 x 2) (+.f64 1 z)) |
(/.f64 (*.f64 x x) (+.f64 1 z)) |
(/.f64 x (/.f64 (+.f64 1 z) x)) |
(/.f64 (pow.f64 x 2) (+.f64 1 z)) |
(/.f64 (*.f64 x x) (+.f64 1 z)) |
(/.f64 x (/.f64 (+.f64 1 z) x)) |
(/.f64 (pow.f64 x 2) (+.f64 1 z)) |
(/.f64 (*.f64 x x) (+.f64 1 z)) |
(/.f64 x (/.f64 (+.f64 1 z) x)) |
(/.f64 (pow.f64 x 2) (+.f64 1 z)) |
(/.f64 (*.f64 x x) (+.f64 1 z)) |
(/.f64 x (/.f64 (+.f64 1 z) x)) |
(/.f64 (pow.f64 x 2) (+.f64 1 z)) |
(/.f64 (*.f64 x x) (+.f64 1 z)) |
(/.f64 x (/.f64 (+.f64 1 z) x)) |
(pow.f64 x 2) |
(*.f64 x x) |
(+.f64 (*.f64 -1 (*.f64 z (pow.f64 x 2))) (pow.f64 x 2)) |
(fma.f64 -1 (*.f64 (*.f64 x x) z) (*.f64 x x)) |
(*.f64 (-.f64 1 z) (*.f64 x x)) |
(*.f64 x (-.f64 x (*.f64 x z))) |
(*.f64 (*.f64 x x) (-.f64 1 z)) |
(+.f64 (*.f64 -1 (*.f64 z (pow.f64 x 2))) (+.f64 (pow.f64 x 2) (*.f64 (pow.f64 z 2) (pow.f64 x 2)))) |
(fma.f64 -1 (*.f64 (*.f64 x x) z) (*.f64 (+.f64 1 (*.f64 z z)) (*.f64 x x))) |
(*.f64 (*.f64 x x) (-.f64 (fma.f64 z z 1) z)) |
(*.f64 x (*.f64 x (-.f64 (fma.f64 z z 1) z))) |
(*.f64 x (*.f64 x (fma.f64 z z (-.f64 1 z)))) |
(+.f64 (*.f64 -1 (*.f64 z (pow.f64 x 2))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 z 3) (pow.f64 x 2))) (+.f64 (pow.f64 x 2) (*.f64 (pow.f64 z 2) (pow.f64 x 2))))) |
(fma.f64 -1 (*.f64 (*.f64 x x) z) (fma.f64 -1 (*.f64 (*.f64 x x) (pow.f64 z 3)) (*.f64 (+.f64 1 (*.f64 z z)) (*.f64 x x)))) |
(-.f64 (*.f64 (*.f64 x x) (-.f64 (fma.f64 z z 1) (pow.f64 z 3))) (*.f64 x (*.f64 x z))) |
(*.f64 (*.f64 x x) (-.f64 (-.f64 (fma.f64 z z 1) z) (pow.f64 z 3))) |
(*.f64 (fma.f64 z z 1) (*.f64 (*.f64 x x) (-.f64 1 z))) |
(/.f64 (pow.f64 x 2) z) |
(/.f64 (*.f64 x x) z) |
(/.f64 x (/.f64 z x)) |
(*.f64 (/.f64 x z) x) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 z 2))) (/.f64 (pow.f64 x 2) z)) |
(fma.f64 -1 (/.f64 (*.f64 x x) (*.f64 z z)) (/.f64 (*.f64 x x) z)) |
(-.f64 (/.f64 x (/.f64 z x)) (/.f64 x (/.f64 (*.f64 z z) x))) |
(*.f64 (+.f64 (/.f64 -1 z) 1) (*.f64 (/.f64 x z) x)) |
(*.f64 (/.f64 x z) (-.f64 x (/.f64 x z))) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 z 2))) (+.f64 (/.f64 (pow.f64 x 2) z) (/.f64 (pow.f64 x 2) (pow.f64 z 3)))) |
(+.f64 (fma.f64 -1 (/.f64 (*.f64 x x) (*.f64 z z)) (/.f64 (*.f64 x x) z)) (/.f64 (*.f64 x x) (pow.f64 z 3))) |
(-.f64 (+.f64 (/.f64 x (/.f64 z x)) (/.f64 (*.f64 x x) (pow.f64 z 3))) (/.f64 x (/.f64 (*.f64 z z) x))) |
(+.f64 (*.f64 (+.f64 (/.f64 -1 z) 1) (*.f64 (/.f64 x z) x)) (*.f64 (/.f64 x (pow.f64 z 3)) x)) |
(+.f64 (*.f64 (/.f64 x z) (-.f64 x (/.f64 x z))) (*.f64 (/.f64 x (pow.f64 z 3)) x)) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 z 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 z 4))) (+.f64 (/.f64 (pow.f64 x 2) z) (/.f64 (pow.f64 x 2) (pow.f64 z 3))))) |
(fma.f64 -1 (/.f64 (*.f64 x x) (*.f64 z z)) (fma.f64 -1 (/.f64 (*.f64 x x) (pow.f64 z 4)) (+.f64 (/.f64 (*.f64 x x) z) (/.f64 (*.f64 x x) (pow.f64 z 3))))) |
(-.f64 (-.f64 (+.f64 (/.f64 x (/.f64 z x)) (/.f64 (*.f64 x x) (pow.f64 z 3))) (/.f64 (*.f64 x x) (pow.f64 z 4))) (/.f64 x (/.f64 (*.f64 z z) x))) |
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(/.f64 (pow.f64 x 2) z) |
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(*.f64 (/.f64 x z) x) |
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(fma.f64 (/.f64 (*.f64 x x) (+.f64 1 z)) 1/2 (/.f64 1/6 (/.f64 (+.f64 1 z) (pow.f64 x 3)))) |
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(*.f64 x (*.f64 x (fma.f64 x 1/6 1/2))) |
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(*.f64 (fma.f64 x 1/6 1/2) (*.f64 (/.f64 x z) (-.f64 x (/.f64 x z)))) |
(+.f64 (/.f64 (*.f64 (+.f64 1/2 (*.f64 1/6 x)) (pow.f64 x 2)) z) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1/2 (*.f64 1/6 x)) (pow.f64 x 2)) (pow.f64 z 2))) (/.f64 (*.f64 (+.f64 1/2 (*.f64 1/6 x)) (pow.f64 x 2)) (pow.f64 z 3)))) |
(+.f64 (/.f64 (+.f64 (*.f64 x 1/6) 1/2) (/.f64 z (*.f64 x x))) (fma.f64 -1 (/.f64 (+.f64 (*.f64 x 1/6) 1/2) (/.f64 (*.f64 z z) (*.f64 x x))) (/.f64 (+.f64 (*.f64 x 1/6) 1/2) (/.f64 (pow.f64 z 3) (*.f64 x x))))) |
(+.f64 (/.f64 (*.f64 x x) (/.f64 z (fma.f64 x 1/6 1/2))) (-.f64 (/.f64 (fma.f64 x 1/6 1/2) (/.f64 (pow.f64 z 3) (*.f64 x x))) (/.f64 (*.f64 x x) (/.f64 (*.f64 z z) (fma.f64 x 1/6 1/2))))) |
(fma.f64 (/.f64 (fma.f64 x 1/6 1/2) z) (*.f64 x x) (*.f64 (/.f64 (fma.f64 x 1/6 1/2) (*.f64 z z)) (-.f64 (*.f64 (/.f64 x z) x) (*.f64 x x)))) |
(*.f64 (/.f64 (fma.f64 x 1/6 1/2) z) (-.f64 (+.f64 (*.f64 x x) (*.f64 (/.f64 x z) (/.f64 x z))) (*.f64 (/.f64 x z) x))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1/2 (*.f64 1/6 x)) (pow.f64 x 2)) (pow.f64 z 4))) (+.f64 (/.f64 (*.f64 (+.f64 1/2 (*.f64 1/6 x)) (pow.f64 x 2)) z) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1/2 (*.f64 1/6 x)) (pow.f64 x 2)) (pow.f64 z 2))) (/.f64 (*.f64 (+.f64 1/2 (*.f64 1/6 x)) (pow.f64 x 2)) (pow.f64 z 3))))) |
(fma.f64 -1 (/.f64 (+.f64 (*.f64 x 1/6) 1/2) (/.f64 (pow.f64 z 4) (*.f64 x x))) (+.f64 (/.f64 (+.f64 (*.f64 x 1/6) 1/2) (/.f64 z (*.f64 x x))) (fma.f64 -1 (/.f64 (+.f64 (*.f64 x 1/6) 1/2) (/.f64 (*.f64 z z) (*.f64 x x))) (/.f64 (+.f64 (*.f64 x 1/6) 1/2) (/.f64 (pow.f64 z 3) (*.f64 x x)))))) |
(-.f64 (+.f64 (/.f64 (*.f64 x x) (/.f64 z (fma.f64 x 1/6 1/2))) (-.f64 (/.f64 (fma.f64 x 1/6 1/2) (/.f64 (pow.f64 z 3) (*.f64 x x))) (/.f64 (*.f64 x x) (/.f64 (*.f64 z z) (fma.f64 x 1/6 1/2))))) (*.f64 (/.f64 (fma.f64 x 1/6 1/2) (pow.f64 z 4)) (*.f64 x x))) |
(-.f64 (fma.f64 (/.f64 (fma.f64 x 1/6 1/2) z) (*.f64 x x) (*.f64 (/.f64 (fma.f64 x 1/6 1/2) (*.f64 z z)) (-.f64 (*.f64 (/.f64 x z) x) (*.f64 x x)))) (*.f64 (*.f64 x x) (/.f64 (fma.f64 x 1/6 1/2) (pow.f64 z 4)))) |
(+.f64 (*.f64 (fma.f64 x 1/6 1/2) (*.f64 (/.f64 x z) (-.f64 x (/.f64 x z)))) (*.f64 (fma.f64 x 1/6 1/2) (*.f64 (/.f64 x (pow.f64 z 3)) (-.f64 x (/.f64 x z))))) |
1 |
(+.f64 (*.f64 -1 z) 1) |
(fma.f64 -1 z 1) |
(-.f64 1 z) |
(+.f64 (*.f64 -1 z) (+.f64 (pow.f64 z 2) 1)) |
(fma.f64 -1 z (+.f64 1 (*.f64 z z))) |
(-.f64 (fma.f64 z z 1) z) |
(fma.f64 z z (-.f64 1 z)) |
(+.f64 (*.f64 -1 z) (+.f64 (*.f64 -1 (pow.f64 z 3)) (+.f64 (pow.f64 z 2) 1))) |
(fma.f64 -1 z (fma.f64 -1 (pow.f64 z 3) (+.f64 1 (*.f64 z z)))) |
(-.f64 (-.f64 (fma.f64 z z 1) (pow.f64 z 3)) z) |
(-.f64 (-.f64 (fma.f64 z z 1) z) (pow.f64 z 3)) |
(-.f64 (fma.f64 z z 1) (+.f64 z (pow.f64 z 3))) |
(/.f64 1 z) |
(-.f64 (/.f64 1 z) (/.f64 1 (pow.f64 z 2))) |
(-.f64 (/.f64 1 z) (/.f64 1 (*.f64 z z))) |
(+.f64 (/.f64 1 z) (/.f64 -1 (*.f64 z z))) |
(+.f64 (/.f64 1 z) (/.f64 (/.f64 -1 z) z)) |
(-.f64 (+.f64 (/.f64 1 (pow.f64 z 3)) (/.f64 1 z)) (/.f64 1 (pow.f64 z 2))) |
(+.f64 (/.f64 1 (pow.f64 z 3)) (-.f64 (/.f64 1 z) (/.f64 1 (*.f64 z z)))) |
(+.f64 (/.f64 1 z) (-.f64 (/.f64 1 (pow.f64 z 3)) (/.f64 1 (*.f64 z z)))) |
(+.f64 (/.f64 1 z) (+.f64 (/.f64 1 (pow.f64 z 3)) (/.f64 (/.f64 -1 z) z))) |
(+.f64 (/.f64 1 z) (+.f64 (/.f64 1 (pow.f64 z 3)) (/.f64 -1 (*.f64 z z)))) |
(-.f64 (+.f64 (/.f64 1 (pow.f64 z 3)) (/.f64 1 z)) (+.f64 (/.f64 1 (pow.f64 z 2)) (/.f64 1 (pow.f64 z 4)))) |
(+.f64 (/.f64 1 (pow.f64 z 3)) (-.f64 (/.f64 1 z) (+.f64 (/.f64 1 (*.f64 z z)) (/.f64 1 (pow.f64 z 4))))) |
(+.f64 (/.f64 1 (pow.f64 z 3)) (+.f64 (/.f64 1 z) (-.f64 (/.f64 (/.f64 -1 z) z) (/.f64 1 (pow.f64 z 4))))) |
(+.f64 (+.f64 (/.f64 1 z) (/.f64 -1 (*.f64 z z))) (+.f64 (/.f64 1 (pow.f64 z 3)) (/.f64 -1 (pow.f64 z 4)))) |
(/.f64 1 z) |
(-.f64 (/.f64 1 z) (/.f64 1 (pow.f64 z 2))) |
(-.f64 (/.f64 1 z) (/.f64 1 (*.f64 z z))) |
(+.f64 (/.f64 1 z) (/.f64 -1 (*.f64 z z))) |
(+.f64 (/.f64 1 z) (/.f64 (/.f64 -1 z) z)) |
(-.f64 (+.f64 (/.f64 1 (pow.f64 z 3)) (/.f64 1 z)) (/.f64 1 (pow.f64 z 2))) |
(+.f64 (/.f64 1 (pow.f64 z 3)) (-.f64 (/.f64 1 z) (/.f64 1 (*.f64 z z)))) |
(+.f64 (/.f64 1 z) (-.f64 (/.f64 1 (pow.f64 z 3)) (/.f64 1 (*.f64 z z)))) |
(+.f64 (/.f64 1 z) (+.f64 (/.f64 1 (pow.f64 z 3)) (/.f64 (/.f64 -1 z) z))) |
(+.f64 (/.f64 1 z) (+.f64 (/.f64 1 (pow.f64 z 3)) (/.f64 -1 (*.f64 z z)))) |
(-.f64 (+.f64 (/.f64 1 (pow.f64 z 3)) (/.f64 1 z)) (+.f64 (/.f64 1 (pow.f64 z 2)) (/.f64 1 (pow.f64 z 4)))) |
(+.f64 (/.f64 1 (pow.f64 z 3)) (-.f64 (/.f64 1 z) (+.f64 (/.f64 1 (*.f64 z z)) (/.f64 1 (pow.f64 z 4))))) |
(+.f64 (/.f64 1 (pow.f64 z 3)) (+.f64 (/.f64 1 z) (-.f64 (/.f64 (/.f64 -1 z) z) (/.f64 1 (pow.f64 z 4))))) |
(+.f64 (+.f64 (/.f64 1 z) (/.f64 -1 (*.f64 z z))) (+.f64 (/.f64 1 (pow.f64 z 3)) (/.f64 -1 (pow.f64 z 4)))) |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (/.f64 x (+.f64 1 z)) |
| 0.0b | (/.f64 1 (+.f64 1 z)) |
Compiled 30 to 21 computations (30% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | (/.f64 x (+.f64 1 z)) |
| 1.0ms | x | @ | -inf | (/.f64 x (+.f64 1 z)) |
| 1.0ms | x | @ | 0 | (/.f64 x (+.f64 1 z)) |
| 1.0ms | z | @ | 0 | (/.f64 x (+.f64 1 z)) |
| 1.0ms | z | @ | inf | (/.f64 x (+.f64 1 z)) |
| 1× | batch-egg-rewrite |
| 697× | pow1_binary64 |
| 649× | add-log-exp_binary64 |
| 649× | log1p-expm1-u_binary64 |
| 649× | expm1-log1p-u_binary64 |
| 636× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 7 |
| 1 | 127 | 7 |
| 2 | 1724 | 7 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 x (+.f64 1 z)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 x (+.f64 1 z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 1 (+.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 x (+.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (+.f64 1 z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 x (+.f64 1 z))) (pow.f64 (cbrt.f64 (/.f64 x (+.f64 1 z))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 x (+.f64 1 z))) 2) (cbrt.f64 (/.f64 x (+.f64 1 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 1 (+.f64 1 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 x (+.f64 1 z))) (sqrt.f64 (/.f64 x (+.f64 1 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1 (+.f64 1 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 x) (/.f64 1 (neg.f64 (+.f64 1 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 1 z)) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (+.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (+.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 z)) 2)) (/.f64 x (cbrt.f64 (+.f64 1 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (+.f64 1 z)) 2)) (cbrt.f64 (/.f64 x (+.f64 1 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (+.f64 1 z)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 1 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (+.f64 1 z))) (/.f64 x (sqrt.f64 (+.f64 1 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (+.f64 1 z))) (/.f64 (cbrt.f64 x) (sqrt.f64 (+.f64 1 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (+.f64 1 (pow.f64 z 3))) (-.f64 (+.f64 1 (*.f64 z z)) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (-.f64 1 (*.f64 z z))) (-.f64 1 z))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (+.f64 1 z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 x (+.f64 1 z)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 x (+.f64 1 z))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 x (+.f64 1 z))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 1 z) x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 x (neg.f64 (+.f64 1 z))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 x (+.f64 1 z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 x (+.f64 1 z))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 x (+.f64 1 z)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (+.f64 1 z) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 x (+.f64 1 z))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 x (+.f64 1 z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 x) (log1p.f64 z))))))) |
| 1× | egg-herbie |
| 679× | associate-/r*_binary64 |
| 595× | fma-def_binary64 |
| 399× | associate-/l*_binary64 |
| 398× | associate-/l/_binary64 |
| 257× | distribute-rgt-neg-in_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 28 | 197 |
| 1 | 83 | 185 |
| 2 | 237 | 179 |
| 3 | 818 | 165 |
| 4 | 3610 | 151 |
| 1× | node limit |
| Inputs |
|---|
x |
(+.f64 (*.f64 -1 (*.f64 z x)) x) |
(+.f64 (*.f64 (pow.f64 z 2) x) (+.f64 (*.f64 -1 (*.f64 z x)) x)) |
(+.f64 (*.f64 (pow.f64 z 2) x) (+.f64 (*.f64 -1 (*.f64 (pow.f64 z 3) x)) (+.f64 (*.f64 -1 (*.f64 z x)) x))) |
(/.f64 x z) |
(+.f64 (*.f64 -1 (/.f64 x (pow.f64 z 2))) (/.f64 x z)) |
(+.f64 (/.f64 x (pow.f64 z 3)) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 z 2))) (/.f64 x z))) |
(+.f64 (*.f64 -1 (/.f64 x (pow.f64 z 4))) (+.f64 (/.f64 x (pow.f64 z 3)) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 z 2))) (/.f64 x z)))) |
(/.f64 x z) |
(+.f64 (*.f64 -1 (/.f64 x (pow.f64 z 2))) (/.f64 x z)) |
(+.f64 (/.f64 x (pow.f64 z 3)) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 z 2))) (/.f64 x z))) |
(+.f64 (*.f64 -1 (/.f64 x (pow.f64 z 4))) (+.f64 (/.f64 x (pow.f64 z 3)) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 z 2))) (/.f64 x z)))) |
| Outputs |
|---|
x |
(+.f64 (*.f64 -1 (*.f64 z x)) x) |
(fma.f64 -1 (*.f64 x z) x) |
(-.f64 x (*.f64 x z)) |
(+.f64 (*.f64 (pow.f64 z 2) x) (+.f64 (*.f64 -1 (*.f64 z x)) x)) |
(fma.f64 (*.f64 z z) x (fma.f64 -1 (*.f64 x z) x)) |
(fma.f64 x (*.f64 z z) (-.f64 x (*.f64 x z))) |
(fma.f64 x (-.f64 (*.f64 z z) z) x) |
(fma.f64 z (*.f64 x (+.f64 -1 z)) x) |
(*.f64 x (-.f64 (fma.f64 z z 1) z)) |
(+.f64 (*.f64 (pow.f64 z 2) x) (+.f64 (*.f64 -1 (*.f64 (pow.f64 z 3) x)) (+.f64 (*.f64 -1 (*.f64 z x)) x))) |
(fma.f64 (*.f64 z z) x (fma.f64 -1 (*.f64 x (pow.f64 z 3)) (fma.f64 -1 (*.f64 x z) x))) |
(fma.f64 x (*.f64 z z) (-.f64 (-.f64 x (*.f64 x z)) (*.f64 x (pow.f64 z 3)))) |
(-.f64 (fma.f64 x (-.f64 (*.f64 z z) z) x) (*.f64 x (pow.f64 z 3))) |
(*.f64 (fma.f64 z z 1) (-.f64 x (*.f64 x z))) |
(*.f64 x (*.f64 (fma.f64 z z 1) (-.f64 1 z))) |
(/.f64 x z) |
(+.f64 (*.f64 -1 (/.f64 x (pow.f64 z 2))) (/.f64 x z)) |
(fma.f64 -1 (/.f64 x (*.f64 z z)) (/.f64 x z)) |
(-.f64 (/.f64 x z) (/.f64 (/.f64 x z) z)) |
(-.f64 (/.f64 x z) (/.f64 x (*.f64 z z))) |
(/.f64 (+.f64 1 (/.f64 -1 z)) (/.f64 z x)) |
(+.f64 (/.f64 x (pow.f64 z 3)) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 z 2))) (/.f64 x z))) |
(+.f64 (fma.f64 -1 (/.f64 x (*.f64 z z)) (/.f64 x z)) (/.f64 x (pow.f64 z 3))) |
(+.f64 (-.f64 (/.f64 x z) (/.f64 (/.f64 x z) z)) (/.f64 x (pow.f64 z 3))) |
(fma.f64 (+.f64 1 (/.f64 -1 z)) (/.f64 x z) (/.f64 x (pow.f64 z 3))) |
(+.f64 (*.f64 -1 (/.f64 x (pow.f64 z 4))) (+.f64 (/.f64 x (pow.f64 z 3)) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 z 2))) (/.f64 x z)))) |
(fma.f64 -1 (/.f64 x (pow.f64 z 4)) (+.f64 (fma.f64 -1 (/.f64 x (*.f64 z z)) (/.f64 x z)) (/.f64 x (pow.f64 z 3)))) |
(-.f64 (+.f64 (-.f64 (/.f64 x z) (/.f64 (/.f64 x z) z)) (/.f64 x (pow.f64 z 3))) (/.f64 x (pow.f64 z 4))) |
(+.f64 (-.f64 (/.f64 x z) (/.f64 (/.f64 x z) z)) (-.f64 (/.f64 x (pow.f64 z 3)) (/.f64 x (pow.f64 z 4)))) |
(-.f64 (fma.f64 (+.f64 1 (/.f64 -1 z)) (/.f64 x z) (/.f64 x (pow.f64 z 3))) (/.f64 x (pow.f64 z 4))) |
(*.f64 (+.f64 1 (/.f64 -1 z)) (+.f64 (/.f64 x z) (/.f64 x (pow.f64 z 3)))) |
(/.f64 x z) |
(+.f64 (*.f64 -1 (/.f64 x (pow.f64 z 2))) (/.f64 x z)) |
(fma.f64 -1 (/.f64 x (*.f64 z z)) (/.f64 x z)) |
(-.f64 (/.f64 x z) (/.f64 (/.f64 x z) z)) |
(-.f64 (/.f64 x z) (/.f64 x (*.f64 z z))) |
(/.f64 (+.f64 1 (/.f64 -1 z)) (/.f64 z x)) |
(+.f64 (/.f64 x (pow.f64 z 3)) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 z 2))) (/.f64 x z))) |
(+.f64 (fma.f64 -1 (/.f64 x (*.f64 z z)) (/.f64 x z)) (/.f64 x (pow.f64 z 3))) |
(+.f64 (-.f64 (/.f64 x z) (/.f64 (/.f64 x z) z)) (/.f64 x (pow.f64 z 3))) |
(fma.f64 (+.f64 1 (/.f64 -1 z)) (/.f64 x z) (/.f64 x (pow.f64 z 3))) |
(+.f64 (*.f64 -1 (/.f64 x (pow.f64 z 4))) (+.f64 (/.f64 x (pow.f64 z 3)) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 z 2))) (/.f64 x z)))) |
(fma.f64 -1 (/.f64 x (pow.f64 z 4)) (+.f64 (fma.f64 -1 (/.f64 x (*.f64 z z)) (/.f64 x z)) (/.f64 x (pow.f64 z 3)))) |
(-.f64 (+.f64 (-.f64 (/.f64 x z) (/.f64 (/.f64 x z) z)) (/.f64 x (pow.f64 z 3))) (/.f64 x (pow.f64 z 4))) |
(+.f64 (-.f64 (/.f64 x z) (/.f64 (/.f64 x z) z)) (-.f64 (/.f64 x (pow.f64 z 3)) (/.f64 x (pow.f64 z 4)))) |
(-.f64 (fma.f64 (+.f64 1 (/.f64 -1 z)) (/.f64 x z) (/.f64 x (pow.f64 z 3))) (/.f64 x (pow.f64 z 4))) |
(*.f64 (+.f64 1 (/.f64 -1 z)) (+.f64 (/.f64 x z) (/.f64 x (pow.f64 z 3)))) |
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (/.f64 1 (+.f64 1 z)) |
Compiled 13 to 10 computations (23.1% saved)
Compiled 9349 to 6659 computations (28.8% saved)
18 alts after pruning (11 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 352 | 11 | 363 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 2 | 6 | 8 |
| Total | 354 | 18 | 372 |
| Status | Error | Program |
|---|---|---|
| 45.8b | (+.f64 (/.f64 1 (+.f64 1 z)) (+.f64 (/.f64 x (+.f64 1 z)) (/.f64 (*.f64 (-.f64 1/4 (*.f64 (*.f64 x x) 1/36)) (*.f64 (/.f64 x (+.f64 1 z)) x)) (+.f64 1/2 (*.f64 -1/6 x))))) | |
| ✓ | 20.3b | (exp.f64 x) |
| 45.8b | (+.f64 (/.f64 x (+.f64 1 z)) 1) | |
| ✓ | 0.7b | (exp.f64 (-.f64 x z)) |
| ✓ | 45.6b | (pow.f64 y y) |
| 62.0b | (+.f64 (/.f64 1 z) (/.f64 (/.f64 -1 z) z)) | |
| 45.9b | (-.f64 1 z) | |
| ✓ | 18.7b | (exp.f64 (neg.f64 z)) |
| 61.4b | (/.f64 1 z) | |
| ✓ | 19.9b | (/.f64 (exp.f64 x) (+.f64 1 z)) |
| 28.8b | (*.f64 (/.f64 1 (-.f64 1 (*.f64 z z))) (-.f64 1 z)) | |
| ✓ | 44.9b | (/.f64 1 (+.f64 1 z)) |
| 45.5b | (+.f64 x (/.f64 1 (+.f64 1 z))) | |
| 46.2b | (+.f64 1 (+.f64 (/.f64 x (+.f64 1 z)) (*.f64 (/.f64 (*.f64 x x) (+.f64 1 z)) (+.f64 1/2 (*.f64 x 1/6))))) | |
| 45.8b | 1 | |
| ✓ | 26.6b | (/.f64 (pow.f64 y y) (exp.f64 z)) |
| 45.9b | (+.f64 (/.f64 x (+.f64 1 z)) (-.f64 1 z)) | |
| 45.7b | (+.f64 (/.f64 1 (+.f64 1 z)) (+.f64 (/.f64 x (+.f64 1 z)) (*.f64 (*.f64 (/.f64 x (+.f64 1 z)) x) (+.f64 1/2 (*.f64 x 1/6))))) |
Compiled 212 to 163 computations (23.1% saved)
| Inputs |
|---|
1 |
(-.f64 1 z) |
(/.f64 1 z) |
(/.f64 1 (+.f64 1 z)) |
(+.f64 (/.f64 x (+.f64 1 z)) 1) |
(+.f64 x (/.f64 1 (+.f64 1 z))) |
(+.f64 (/.f64 1 z) (/.f64 (/.f64 -1 z) z)) |
(+.f64 (/.f64 x (+.f64 1 z)) (-.f64 1 z)) |
(*.f64 (/.f64 1 (-.f64 1 (*.f64 z z))) (-.f64 1 z)) |
(+.f64 (/.f64 x (+.f64 1 z)) (/.f64 1 (+.f64 1 z))) |
(+.f64 1 (+.f64 (/.f64 x (+.f64 1 z)) (*.f64 (/.f64 (*.f64 x x) (+.f64 1 z)) (+.f64 1/2 (*.f64 x 1/6))))) |
(+.f64 (/.f64 1 (+.f64 1 z)) (+.f64 (/.f64 x (+.f64 1 z)) (*.f64 (*.f64 (/.f64 x (+.f64 1 z)) x) (+.f64 1/2 (*.f64 x 1/6))))) |
(+.f64 (/.f64 1 (+.f64 1 z)) (+.f64 (/.f64 x (+.f64 1 z)) (*.f64 (/.f64 (*.f64 x x) (+.f64 1 z)) (+.f64 1/2 (*.f64 x 1/6))))) |
(+.f64 (/.f64 1 (+.f64 1 z)) (+.f64 (/.f64 x (+.f64 1 z)) (/.f64 (*.f64 (-.f64 1/4 (*.f64 (*.f64 x x) 1/36)) (*.f64 (/.f64 x (+.f64 1 z)) x)) (+.f64 1/2 (*.f64 -1/6 x))))) |
(exp.f64 x) |
(pow.f64 y y) |
(exp.f64 (neg.f64 z)) |
(exp.f64 (-.f64 x z)) |
(/.f64 (exp.f64 x) (+.f64 1 z)) |
(/.f64 (pow.f64 y y) (exp.f64 z)) |
(/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x))) |
(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)) |
(/.f64 (pow.f64 y y) (/.f64 (+.f64 1 z) (exp.f64 x))) |
| Outputs |
|---|
(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)) |
7 calls:
| 33.0ms | z |
| 13.0ms | (*.f64 y (log.f64 y)) |
| 12.0ms | (+.f64 x (*.f64 y (log.f64 y))) |
| 12.0ms | y |
| 12.0ms | x |
| 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 275 to 181 computations (34.2% saved)
| Inputs |
|---|
1 |
(-.f64 1 z) |
(/.f64 1 z) |
(/.f64 1 (+.f64 1 z)) |
(+.f64 (/.f64 x (+.f64 1 z)) 1) |
(+.f64 x (/.f64 1 (+.f64 1 z))) |
(+.f64 (/.f64 1 z) (/.f64 (/.f64 -1 z) z)) |
(+.f64 (/.f64 x (+.f64 1 z)) (-.f64 1 z)) |
(*.f64 (/.f64 1 (-.f64 1 (*.f64 z z))) (-.f64 1 z)) |
(+.f64 (/.f64 x (+.f64 1 z)) (/.f64 1 (+.f64 1 z))) |
(+.f64 1 (+.f64 (/.f64 x (+.f64 1 z)) (*.f64 (/.f64 (*.f64 x x) (+.f64 1 z)) (+.f64 1/2 (*.f64 x 1/6))))) |
(+.f64 (/.f64 1 (+.f64 1 z)) (+.f64 (/.f64 x (+.f64 1 z)) (*.f64 (*.f64 (/.f64 x (+.f64 1 z)) x) (+.f64 1/2 (*.f64 x 1/6))))) |
(+.f64 (/.f64 1 (+.f64 1 z)) (+.f64 (/.f64 x (+.f64 1 z)) (*.f64 (/.f64 (*.f64 x x) (+.f64 1 z)) (+.f64 1/2 (*.f64 x 1/6))))) |
(+.f64 (/.f64 1 (+.f64 1 z)) (+.f64 (/.f64 x (+.f64 1 z)) (/.f64 (*.f64 (-.f64 1/4 (*.f64 (*.f64 x x) 1/36)) (*.f64 (/.f64 x (+.f64 1 z)) x)) (+.f64 1/2 (*.f64 -1/6 x))))) |
(exp.f64 x) |
(pow.f64 y y) |
(exp.f64 (neg.f64 z)) |
(exp.f64 (-.f64 x z)) |
(/.f64 (exp.f64 x) (+.f64 1 z)) |
(/.f64 (pow.f64 y y) (exp.f64 z)) |
(/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x))) |
| Outputs |
|---|
(exp.f64 (-.f64 x z)) |
3 calls:
| 12.0ms | z |
| 12.0ms | y |
| 10.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 0.7b | 1 | x |
| 0.7b | 1 | y |
| 0.7b | 1 | z |
Compiled 217 to 146 computations (32.7% saved)
| Inputs |
|---|
1 |
(-.f64 1 z) |
(/.f64 1 z) |
(/.f64 1 (+.f64 1 z)) |
(+.f64 (/.f64 x (+.f64 1 z)) 1) |
(+.f64 x (/.f64 1 (+.f64 1 z))) |
(+.f64 (/.f64 1 z) (/.f64 (/.f64 -1 z) z)) |
(+.f64 (/.f64 x (+.f64 1 z)) (-.f64 1 z)) |
(*.f64 (/.f64 1 (-.f64 1 (*.f64 z z))) (-.f64 1 z)) |
(+.f64 (/.f64 x (+.f64 1 z)) (/.f64 1 (+.f64 1 z))) |
(+.f64 1 (+.f64 (/.f64 x (+.f64 1 z)) (*.f64 (/.f64 (*.f64 x x) (+.f64 1 z)) (+.f64 1/2 (*.f64 x 1/6))))) |
(+.f64 (/.f64 1 (+.f64 1 z)) (+.f64 (/.f64 x (+.f64 1 z)) (*.f64 (*.f64 (/.f64 x (+.f64 1 z)) x) (+.f64 1/2 (*.f64 x 1/6))))) |
(+.f64 (/.f64 1 (+.f64 1 z)) (+.f64 (/.f64 x (+.f64 1 z)) (*.f64 (/.f64 (*.f64 x x) (+.f64 1 z)) (+.f64 1/2 (*.f64 x 1/6))))) |
(+.f64 (/.f64 1 (+.f64 1 z)) (+.f64 (/.f64 x (+.f64 1 z)) (/.f64 (*.f64 (-.f64 1/4 (*.f64 (*.f64 x x) 1/36)) (*.f64 (/.f64 x (+.f64 1 z)) x)) (+.f64 1/2 (*.f64 -1/6 x))))) |
(exp.f64 x) |
(pow.f64 y y) |
(exp.f64 (neg.f64 z)) |
| Outputs |
|---|
(exp.f64 x) |
(exp.f64 (neg.f64 z)) |
3 calls:
| 100.0ms | y |
| 54.0ms | x |
| 19.0ms | z |
| Error | Segments | Branch |
|---|---|---|
| 1.1b | 2 | x |
| 12.8b | 8 | y |
| 1.3b | 2 | z |
Compiled 193 to 136 computations (29.5% saved)
| 1× | binary-search |
| Time | Left | Right |
|---|---|---|
| 243.0ms | -3.707975907042672e-11 | -4.017076523917912e-22 |
Compiled 148 to 123 computations (16.9% saved)
| Inputs |
|---|
1 |
(-.f64 1 z) |
(/.f64 1 z) |
(/.f64 1 (+.f64 1 z)) |
(+.f64 (/.f64 x (+.f64 1 z)) 1) |
(+.f64 x (/.f64 1 (+.f64 1 z))) |
(+.f64 (/.f64 1 z) (/.f64 (/.f64 -1 z) z)) |
(+.f64 (/.f64 x (+.f64 1 z)) (-.f64 1 z)) |
(*.f64 (/.f64 1 (-.f64 1 (*.f64 z z))) (-.f64 1 z)) |
(+.f64 (/.f64 x (+.f64 1 z)) (/.f64 1 (+.f64 1 z))) |
(+.f64 1 (+.f64 (/.f64 x (+.f64 1 z)) (*.f64 (/.f64 (*.f64 x x) (+.f64 1 z)) (+.f64 1/2 (*.f64 x 1/6))))) |
(+.f64 (/.f64 1 (+.f64 1 z)) (+.f64 (/.f64 x (+.f64 1 z)) (*.f64 (*.f64 (/.f64 x (+.f64 1 z)) x) (+.f64 1/2 (*.f64 x 1/6))))) |
(+.f64 (/.f64 1 (+.f64 1 z)) (+.f64 (/.f64 x (+.f64 1 z)) (*.f64 (/.f64 (*.f64 x x) (+.f64 1 z)) (+.f64 1/2 (*.f64 x 1/6))))) |
(+.f64 (/.f64 1 (+.f64 1 z)) (+.f64 (/.f64 x (+.f64 1 z)) (/.f64 (*.f64 (-.f64 1/4 (*.f64 (*.f64 x x) 1/36)) (*.f64 (/.f64 x (+.f64 1 z)) x)) (+.f64 1/2 (*.f64 -1/6 x))))) |
(exp.f64 x) |
(pow.f64 y y) |
| Outputs |
|---|
(exp.f64 x) |
(*.f64 (/.f64 1 (-.f64 1 (*.f64 z z))) (-.f64 1 z)) |
3 calls:
| 48.0ms | y |
| 34.0ms | z |
| 32.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 8.8b | 2 | x |
| 19.1b | 3 | y |
| 8.6b | 2 | z |
Compiled 190 to 134 computations (29.5% saved)
| 1× | binary-search |
| Time | Left | Right |
|---|---|---|
| 75.0ms | 2.2000348352314893e+149 | 9.080073683024432e+168 |
Compiled 18 to 13 computations (27.8% saved)
| Inputs |
|---|
1 |
(-.f64 1 z) |
(/.f64 1 z) |
(/.f64 1 (+.f64 1 z)) |
(+.f64 (/.f64 x (+.f64 1 z)) 1) |
(+.f64 x (/.f64 1 (+.f64 1 z))) |
(+.f64 (/.f64 1 z) (/.f64 (/.f64 -1 z) z)) |
(+.f64 (/.f64 x (+.f64 1 z)) (-.f64 1 z)) |
(*.f64 (/.f64 1 (-.f64 1 (*.f64 z z))) (-.f64 1 z)) |
(+.f64 (/.f64 x (+.f64 1 z)) (/.f64 1 (+.f64 1 z))) |
(+.f64 1 (+.f64 (/.f64 x (+.f64 1 z)) (*.f64 (/.f64 (*.f64 x x) (+.f64 1 z)) (+.f64 1/2 (*.f64 x 1/6))))) |
(+.f64 (/.f64 1 (+.f64 1 z)) (+.f64 (/.f64 x (+.f64 1 z)) (*.f64 (*.f64 (/.f64 x (+.f64 1 z)) x) (+.f64 1/2 (*.f64 x 1/6))))) |
(+.f64 (/.f64 1 (+.f64 1 z)) (+.f64 (/.f64 x (+.f64 1 z)) (*.f64 (/.f64 (*.f64 x x) (+.f64 1 z)) (+.f64 1/2 (*.f64 x 1/6))))) |
(+.f64 (/.f64 1 (+.f64 1 z)) (+.f64 (/.f64 x (+.f64 1 z)) (/.f64 (*.f64 (-.f64 1/4 (*.f64 (*.f64 x x) 1/36)) (*.f64 (/.f64 x (+.f64 1 z)) x)) (+.f64 1/2 (*.f64 -1/6 x))))) |
| Outputs |
|---|
(*.f64 (/.f64 1 (-.f64 1 (*.f64 z z))) (-.f64 1 z)) |
3 calls:
| 18.0ms | y |
| 17.0ms | x |
| 17.0ms | z |
| Error | Segments | Branch |
|---|---|---|
| 28.8b | 1 | x |
| 28.8b | 1 | y |
| 28.8b | 1 | z |
Compiled 185 to 132 computations (28.6% saved)
| Inputs |
|---|
1 |
(-.f64 1 z) |
(/.f64 1 z) |
(/.f64 1 (+.f64 1 z)) |
(+.f64 (/.f64 x (+.f64 1 z)) 1) |
(+.f64 x (/.f64 1 (+.f64 1 z))) |
(+.f64 (/.f64 1 z) (/.f64 (/.f64 -1 z) z)) |
(+.f64 (/.f64 x (+.f64 1 z)) (-.f64 1 z)) |
| Outputs |
|---|
(/.f64 1 (+.f64 1 z)) |
3 calls:
| 7.0ms | z |
| 6.0ms | x |
| 6.0ms | y |
| Error | Segments | Branch |
|---|---|---|
| 44.9b | 1 | x |
| 44.9b | 1 | y |
| 44.9b | 1 | z |
Compiled 59 to 43 computations (27.1% saved)
Total -16.7b remaining (-36.5%)
Threshold costs -16.7b (-36.5%)
| Inputs |
|---|
1 |
(-.f64 1 z) |
(/.f64 1 z) |
| Outputs |
|---|
1 |
3 calls:
| 4.0ms | y |
| 4.0ms | x |
| 4.0ms | z |
| Error | Segments | Branch |
|---|---|---|
| 45.8b | 1 | x |
| 45.8b | 1 | y |
| 45.8b | 1 | z |
Compiled 22 to 17 computations (22.7% saved)
| 1× | egg-herbie |
| 8× | +-commutative_binary64 |
| 6× | sub-neg_binary64 |
| 4× | *-commutative_binary64 |
| 2× | neg-sub0_binary64 |
| 2× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 29 | 83 |
| 1 | 45 | 83 |
| 2 | 54 | 83 |
| 3 | 57 | 83 |
| 4 | 58 | 83 |
| 1× | fuel |
| 1× | saturated |
| Inputs |
|---|
(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)) |
(exp.f64 (-.f64 x z)) |
(if (<=.f64 x -8613397412686255/21267647932558653966460912964485513216) (exp.f64 x) (exp.f64 (neg.f64 z))) |
(if (<=.f64 z 220003483523148932295491529147603117640560935155527191368771851132052299685224720390933654019868130228565396087227573206999081747133298722855144390656) (exp.f64 x) (*.f64 (/.f64 1 (-.f64 1 (*.f64 z z))) (-.f64 1 z))) |
(*.f64 (/.f64 1 (-.f64 1 (*.f64 z z))) (-.f64 1 z)) |
(/.f64 1 (+.f64 1 z)) |
1 |
| Outputs |
|---|
(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)) |
(exp.f64 (-.f64 x z)) |
(if (<=.f64 x -8613397412686255/21267647932558653966460912964485513216) (exp.f64 x) (exp.f64 (neg.f64 z))) |
(if (<=.f64 z 220003483523148932295491529147603117640560935155527191368771851132052299685224720390933654019868130228565396087227573206999081747133298722855144390656) (exp.f64 x) (*.f64 (/.f64 1 (-.f64 1 (*.f64 z z))) (-.f64 1 z))) |
(*.f64 (/.f64 1 (-.f64 1 (*.f64 z z))) (-.f64 1 z)) |
(/.f64 1 (+.f64 1 z)) |
(/.f64 1 (+.f64 z 1)) |
1 |
Compiled 77 to 59 computations (23.4% saved)
Compiled 59 to 39 computations (33.9% saved)
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