Details

Time bar (total: 21.0s)

analyze697.0ms (3.3%)

Algorithm
1×search
Search
TrueOtherFalseIter
0%99.8%0.2%0
0%99.8%0.2%1
0%99.8%0.2%2
0%99.8%0.2%3
0%99.8%0.2%4
0%99.8%0.2%5
0%99.8%0.2%6
0%99.8%0.2%7
0%99.8%0.2%8
1.6%98.2%0.2%9
2.3%97.5%0.2%10
11.7%88.1%0.2%11
12.3%81.3%6.4%12
Compiler

Compiled 18 to 13 computations (27.8% saved)

sample8.1s (38.3%)

Results
2.8s1523×body8192exit
1.7s1860×body1024valid
1.2s4682×body256valid
796.0ms2096×body256invalid
671.0ms1384×body512valid
431.0ms330×body2048valid
146.0ms274×body512invalid
87.0ms185×body1024invalid

preprocess142.0ms (0.7%)

Algorithm
2×egg-herbie
Rules
694×sub-neg_binary64
471×div-sub_binary64
471×fma-neg_binary64
400×fma-def_binary64
318×associate-/l*_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
046140
194126
2235119
3504119
4109798
5240698
6378298
7505198
8667198
9768498
044
Stop Event
1×saturated
1×node limit
Calls
Call 1
Inputs
0
1
2
3
Outputs
0
1
2
3
Call 2
Inputs
(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 1 y) (*.f64 y (exp.f64 z)))) t))
(-.f64 y (/.f64 (log.f64 (+.f64 (-.f64 1 x) (*.f64 x (exp.f64 z)))) t))
(-.f64 z (/.f64 (log.f64 (+.f64 (-.f64 1 y) (*.f64 y (exp.f64 x)))) t))
(-.f64 t (/.f64 (log.f64 (+.f64 (-.f64 1 y) (*.f64 y (exp.f64 z)))) x))
(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 1 z) (*.f64 z (exp.f64 y)))) t))
(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 1 t) (*.f64 t (exp.f64 z)))) y))
(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 1 y) (*.f64 y (exp.f64 t)))) z))
Outputs
(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 1 y) (*.f64 y (exp.f64 z)))) t))
(-.f64 x (/.f64 (log.f64 (fma.f64 y (exp.f64 z) (-.f64 1 y))) t))
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (+.f64 -1 (exp.f64 z)))) t))
(-.f64 x (/.f64 (log1p.f64 (-.f64 (*.f64 y (exp.f64 z)) y)) t))
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))
(-.f64 y (/.f64 (log.f64 (+.f64 (-.f64 1 x) (*.f64 x (exp.f64 z)))) t))
(-.f64 y (/.f64 (log.f64 (fma.f64 x (exp.f64 z) (-.f64 1 x))) t))
(-.f64 y (/.f64 (log1p.f64 (*.f64 x (+.f64 -1 (exp.f64 z)))) t))
(-.f64 y (/.f64 (log1p.f64 (-.f64 (*.f64 x (exp.f64 z)) x)) t))
(-.f64 y (/.f64 (log1p.f64 (*.f64 x (expm1.f64 z))) t))
(-.f64 z (/.f64 (log.f64 (+.f64 (-.f64 1 y) (*.f64 y (exp.f64 x)))) t))
(-.f64 z (/.f64 (log.f64 (fma.f64 y (exp.f64 x) (-.f64 1 y))) t))
(-.f64 z (/.f64 (log1p.f64 (*.f64 y (+.f64 -1 (exp.f64 x)))) t))
(-.f64 z (/.f64 (log1p.f64 (*.f64 y (+.f64 (exp.f64 x) -1))) t))
(-.f64 z (/.f64 (log1p.f64 (*.f64 y (expm1.f64 x))) t))
(-.f64 t (/.f64 (log.f64 (+.f64 (-.f64 1 y) (*.f64 y (exp.f64 z)))) x))
(-.f64 t (/.f64 (log.f64 (fma.f64 y (exp.f64 z) (-.f64 1 y))) x))
(-.f64 t (/.f64 (log1p.f64 (*.f64 y (+.f64 -1 (exp.f64 z)))) x))
(-.f64 t (/.f64 (log1p.f64 (-.f64 (*.f64 y (exp.f64 z)) y)) x))
(-.f64 t (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) x))
(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 1 z) (*.f64 z (exp.f64 y)))) t))
(-.f64 x (/.f64 (log.f64 (fma.f64 z (exp.f64 y) (-.f64 1 z))) t))
(-.f64 x (/.f64 (log1p.f64 (*.f64 z (+.f64 -1 (exp.f64 y)))) t))
(-.f64 x (/.f64 (log1p.f64 (fma.f64 z (exp.f64 y) (neg.f64 z))) t))
(-.f64 x (/.f64 (log1p.f64 (*.f64 z (expm1.f64 y))) t))
(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 1 t) (*.f64 t (exp.f64 z)))) y))
(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 1 t) (*.f64 (exp.f64 z) t))) y))
(-.f64 x (/.f64 (log.f64 (fma.f64 (exp.f64 z) t (-.f64 1 t))) y))
(-.f64 x (/.f64 (log1p.f64 (*.f64 t (+.f64 -1 (exp.f64 z)))) y))
(-.f64 x (/.f64 (log1p.f64 (-.f64 (*.f64 (exp.f64 z) t) t)) y))
(-.f64 x (/.f64 (log1p.f64 (*.f64 t (expm1.f64 z))) y))
(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 1 y) (*.f64 y (exp.f64 t)))) z))
(-.f64 x (/.f64 (log.f64 (fma.f64 y (exp.f64 t) (-.f64 1 y))) z))
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (+.f64 -1 (exp.f64 t)))) z))
(-.f64 x (/.f64 (log1p.f64 (-.f64 (*.f64 y (exp.f64 t)) y)) z))
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 t))) z))
Compiler

Compiled 21 to 16 computations (23.8% saved)

simplify155.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
735×div-sub_binary64
611×fma-def_binary64
545×sub-neg_binary64
473×associate-/l*_binary64
373×fma-neg_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
01320
12318
24817
39617
420614
542714
672714
791514
8103214
9124614
10175614
11337014
12432614
13494914
14574814
15651714
16707214
17761414
18791214
Stop Event
1×node limit
Counts
1 → 2
Calls
Call 1
Inputs
(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 1 y) (*.f64 y (exp.f64 z)))) t))
Outputs
(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 1 y) (*.f64 y (exp.f64 z)))) t))
(-.f64 x (/.f64 (log.f64 (fma.f64 y (exp.f64 z) (-.f64 1 y))) t))
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (+.f64 -1 (exp.f64 z)))) t))
(-.f64 x (/.f64 (log1p.f64 (-.f64 (*.f64 y (exp.f64 z)) y)) t))
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))

eval1.0ms (0%)

Compiler

Compiled 26 to 17 computations (34.6% saved)

prune1.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New112
Fresh101
Picked000
Done000
Total213
Error
0.8b
Counts
3 → 1
Alt Table
Click to see full alt table
StatusErrorProgram
▶0.8b
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))
Compiler

Compiled 13 to 9 computations (30.8% saved)

localize12.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))
✓0.2b
(log1p.f64 (*.f64 y (expm1.f64 z)))
✓3.7b
(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)
Compiler

Compiled 35 to 9 computations (74.3% saved)

series252.0ms (1.2%)

Counts
3 → 108
Calls

27 calls:

TimeVariablePointExpression
41.0ms
t
@0
(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)
39.0ms
x
@0
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))
29.0ms
z
@inf
(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)
27.0ms
z
@-inf
(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)
7.0ms
t
@inf
(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)

rewrite119.0ms (0.6%)

Algorithm
1×batch-egg-rewrite
Rules
727×prod-diff_binary64
547×log-prod_binary64
333×pow-prod-down_binary64
286×pow2_binary64
230×fma-def_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01033
121033
2285633
Stop Event
1×node limit
Counts
3 → 213
Calls
Call 1
Inputs
(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)
(log1p.f64 (*.f64 y (expm1.f64 z)))
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))
Outputs
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simplify75.0ms (0.4%)

Algorithm
1×egg-herbie
Rules
746×fma-def_binary64
570×associate-*r*_binary64
569×associate-*l*_binary64
372×distribute-rgt-in_binary64
351×distribute-lft-in_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01952542
16092459
220622401
Stop Event
1×node limit
Counts
321 → 315
Calls
Call 1
Inputs
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(+.f64 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t) (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (pow.f64 y 2)) t)))
(+.f64 (*.f64 1/3 (/.f64 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 3) (pow.f64 y 3)) t)) (+.f64 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t) (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (pow.f64 y 2)) t))))
(+.f64 (*.f64 -1/4 (/.f64 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 4) (pow.f64 y 4)) t)) (+.f64 (*.f64 1/3 (/.f64 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 3) (pow.f64 y 3)) t)) (+.f64 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t) (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (pow.f64 y 2)) t)))))
(/.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) t)
(+.f64 (/.f64 (log.f64 (-.f64 (exp.f64 z) 1)) t) (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 y)) t)) (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) (*.f64 y t)))))
(-.f64 (+.f64 (/.f64 (log.f64 (-.f64 (exp.f64 z) 1)) t) (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 y)) t)) (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) (*.f64 y t))))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (*.f64 (pow.f64 y 2) t)))))
(-.f64 (+.f64 (/.f64 (log.f64 (-.f64 (exp.f64 z) 1)) t) (+.f64 (*.f64 1/3 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 3) (*.f64 (pow.f64 y 3) t)))) (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 y)) t)) (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) (*.f64 y t)))))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (*.f64 (pow.f64 y 2) t)))))
(/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1)))) t)
(+.f64 (/.f64 (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1))) t) (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 y)) t)) (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) (*.f64 y t)))))
(-.f64 (+.f64 (/.f64 (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1))) t) (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 y)) t)) (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) (*.f64 y t))))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (*.f64 (pow.f64 y 2) t)))))
(-.f64 (+.f64 (/.f64 (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1))) t) (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 y)) t)) (+.f64 (*.f64 1/3 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 3) (*.f64 (pow.f64 y 3) t)))) (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) (*.f64 y t)))))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (*.f64 (pow.f64 y 2) t)))))
(/.f64 (*.f64 y z) t)
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 z 2) (+.f64 (*.f64 -1 (pow.f64 y 2)) y)) t)) (/.f64 (*.f64 y z) t))
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 z 2) (+.f64 (*.f64 -1 (pow.f64 y 2)) y)) t)) (+.f64 (*.f64 1/6 (/.f64 (*.f64 (+.f64 y (+.f64 (*.f64 -3 (pow.f64 y 2)) (*.f64 2 (pow.f64 y 3)))) (pow.f64 z 3)) t)) (/.f64 (*.f64 y z) t)))
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 z 2) (+.f64 (*.f64 -1 (pow.f64 y 2)) y)) t)) (+.f64 (*.f64 1/6 (/.f64 (*.f64 (+.f64 y (+.f64 (*.f64 -3 (pow.f64 y 2)) (*.f64 2 (pow.f64 y 3)))) (pow.f64 z 3)) t)) (+.f64 (/.f64 (*.f64 y z) t) (*.f64 1/24 (/.f64 (*.f64 (+.f64 y (+.f64 (*.f64 -3 (pow.f64 y 2)) (+.f64 (*.f64 12 (pow.f64 y 3)) (+.f64 (*.f64 -4 (pow.f64 y 2)) (*.f64 -6 (pow.f64 y 4)))))) (pow.f64 z 4)) t)))))
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)
(*.f64 (-.f64 (exp.f64 z) 1) y)
(+.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) (*.f64 -1/2 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (pow.f64 y 2))))
(+.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (pow.f64 y 2))) (*.f64 1/3 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 3) (pow.f64 y 3)))))
(+.f64 (*.f64 -1/4 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 4) (pow.f64 y 4))) (+.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (pow.f64 y 2))) (*.f64 1/3 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 3) (pow.f64 y 3))))))
(+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y))))
(+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (+.f64 (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y)) (*.f64 -1 (log.f64 (/.f64 1 y)))))
(-.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (+.f64 (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y)) (*.f64 -1 (log.f64 (/.f64 1 y))))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (pow.f64 y 2)))))
(-.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (+.f64 (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y)) (+.f64 (*.f64 1/3 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 3) (pow.f64 y 3)))) (*.f64 -1 (log.f64 (/.f64 1 y)))))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (pow.f64 y 2)))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (+.f64 (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y)) (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1)))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (+.f64 (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y)) (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1))))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (pow.f64 y 2)))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (+.f64 (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y)) (+.f64 (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1))) (*.f64 1/3 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 3) (pow.f64 y 3))))))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (pow.f64 y 2)))))
(*.f64 y z)
(+.f64 (*.f64 y z) (*.f64 1/2 (*.f64 (pow.f64 z 2) (+.f64 (*.f64 -1 (pow.f64 y 2)) y))))
(+.f64 (*.f64 y z) (+.f64 (*.f64 1/6 (*.f64 (+.f64 (*.f64 -3 (pow.f64 y 2)) (+.f64 y (*.f64 2 (pow.f64 y 3)))) (pow.f64 z 3))) (*.f64 1/2 (*.f64 (pow.f64 z 2) (+.f64 (*.f64 -1 (pow.f64 y 2)) y)))))
(+.f64 (*.f64 y z) (+.f64 (*.f64 1/6 (*.f64 (+.f64 (*.f64 -3 (pow.f64 y 2)) (+.f64 y (*.f64 2 (pow.f64 y 3)))) (pow.f64 z 3))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 z 2) (+.f64 (*.f64 -1 (pow.f64 y 2)) y))) (*.f64 1/24 (*.f64 (+.f64 (*.f64 -3 (pow.f64 y 2)) (+.f64 y (+.f64 (*.f64 12 (pow.f64 y 3)) (+.f64 (*.f64 -4 (pow.f64 y 2)) (*.f64 -6 (pow.f64 y 4)))))) (pow.f64 z 4))))))
(log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y)))
(log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y)))
(log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y)))
(log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y)))
(log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y)))
(log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y)))
(log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y)))
(log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y)))
(*.f64 -1 (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t))
(+.f64 (*.f64 -1 (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)) x)
(+.f64 (*.f64 -1 (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)) x)
(+.f64 (*.f64 -1 (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)) x)
x
(+.f64 (*.f64 -1 (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)) x)
(+.f64 (*.f64 -1 (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)) x)
(+.f64 (*.f64 -1 (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)) x)
x
(+.f64 (*.f64 -1 (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)) x)
(+.f64 (*.f64 -1 (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)) x)
(+.f64 (*.f64 -1 (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)) x)
x
(+.f64 (*.f64 y (-.f64 (/.f64 1 t) (/.f64 (exp.f64 z) t))) x)
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (pow.f64 y 2)) t)) (+.f64 (*.f64 y (-.f64 (/.f64 1 t) (/.f64 (exp.f64 z) t))) x))
(+.f64 (*.f64 -1/3 (/.f64 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 3) (pow.f64 y 3)) t)) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (pow.f64 y 2)) t)) (+.f64 (*.f64 y (-.f64 (/.f64 1 t) (/.f64 (exp.f64 z) t))) x)))
(-.f64 x (+.f64 (/.f64 (log.f64 (-.f64 (exp.f64 z) 1)) t) (*.f64 -1 (/.f64 (log.f64 (/.f64 1 y)) t))))
(-.f64 x (+.f64 (/.f64 (log.f64 (-.f64 (exp.f64 z) 1)) t) (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 y)) t)) (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) (*.f64 y t))))))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (*.f64 (pow.f64 y 2) t)))) x) (+.f64 (/.f64 (log.f64 (-.f64 (exp.f64 z) 1)) t) (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 y)) t)) (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) (*.f64 y t))))))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (*.f64 (pow.f64 y 2) t)))) x) (+.f64 (/.f64 (log.f64 (-.f64 (exp.f64 z) 1)) t) (+.f64 (*.f64 1/3 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 3) (*.f64 (pow.f64 y 3) t)))) (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 y)) t)) (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) (*.f64 y t)))))))
(-.f64 x (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 y)) t)) (/.f64 (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1))) t)))
(-.f64 x (+.f64 (/.f64 (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1))) t) (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 y)) t)) (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) (*.f64 y t))))))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (*.f64 (pow.f64 y 2) t)))) x) (+.f64 (/.f64 (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1))) t) (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 y)) t)) (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) (*.f64 y t))))))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (*.f64 (pow.f64 y 2) t)))) x) (+.f64 (/.f64 (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1))) t) (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 y)) t)) (+.f64 (*.f64 1/3 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 3) (*.f64 (pow.f64 y 3) t)))) (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) (*.f64 y t)))))))
x
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 z 2) (+.f64 (*.f64 -1 (pow.f64 y 2)) y)) t)) x))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) (+.f64 (*.f64 -1/6 (/.f64 (*.f64 (+.f64 y (+.f64 (*.f64 -3 (pow.f64 y 2)) (*.f64 2 (pow.f64 y 3)))) (pow.f64 z 3)) t)) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 z 2) (+.f64 (*.f64 -1 (pow.f64 y 2)) y)) t)) x)))
(-.f64 x (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t))
(-.f64 x (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t))
(-.f64 x (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t))
(-.f64 x (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t))
(-.f64 x (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t))
(-.f64 x (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t))
(-.f64 x (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t))
(-.f64 x (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t))
(*.f64 -1 (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t))
(+.f64 (*.f64 -1 (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)) x)
(+.f64 (*.f64 -1 (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)) x)
(+.f64 (*.f64 -1 (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)) x)
x
(+.f64 (*.f64 -1 (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)) x)
(+.f64 (*.f64 -1 (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)) x)
(+.f64 (*.f64 -1 (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)) x)
x
(+.f64 (*.f64 -1 (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)) x)
(+.f64 (*.f64 -1 (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)) x)
(+.f64 (*.f64 -1 (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)) x)
Outputs
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (expm1.f64 z) (/.f64 t y))
(*.f64 (/.f64 (expm1.f64 z) t) y)
(*.f64 (/.f64 y t) (expm1.f64 z))
(+.f64 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t) (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (pow.f64 y 2)) t)))
(+.f64 (/.f64 (expm1.f64 z) (/.f64 t y)) (*.f64 -1/2 (/.f64 (pow.f64 (expm1.f64 z) 2) (/.f64 t (*.f64 y y)))))
(fma.f64 -1/2 (*.f64 (/.f64 (pow.f64 (expm1.f64 z) 2) t) (*.f64 y y)) (*.f64 (/.f64 (expm1.f64 z) t) y))
(fma.f64 -1/2 (*.f64 (/.f64 (pow.f64 (expm1.f64 z) 2) t) (*.f64 y y)) (*.f64 (/.f64 y t) (expm1.f64 z)))
(+.f64 (*.f64 1/3 (/.f64 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 3) (pow.f64 y 3)) t)) (+.f64 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t) (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (pow.f64 y 2)) t))))
(fma.f64 1/3 (/.f64 (pow.f64 (expm1.f64 z) 3) (/.f64 t (pow.f64 y 3))) (+.f64 (/.f64 (expm1.f64 z) (/.f64 t y)) (*.f64 -1/2 (/.f64 (pow.f64 (expm1.f64 z) 2) (/.f64 t (*.f64 y y))))))
(fma.f64 1/3 (*.f64 (/.f64 (pow.f64 (expm1.f64 z) 3) t) (pow.f64 y 3)) (fma.f64 -1/2 (*.f64 (/.f64 (pow.f64 (expm1.f64 z) 2) t) (*.f64 y y)) (*.f64 (/.f64 (expm1.f64 z) t) y)))
(fma.f64 -1/2 (*.f64 (/.f64 (pow.f64 (expm1.f64 z) 2) t) (*.f64 y y)) (fma.f64 1/3 (*.f64 (/.f64 (pow.f64 (expm1.f64 z) 3) t) (pow.f64 y 3)) (*.f64 (/.f64 y t) (expm1.f64 z))))
(+.f64 (*.f64 -1/4 (/.f64 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 4) (pow.f64 y 4)) t)) (+.f64 (*.f64 1/3 (/.f64 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 3) (pow.f64 y 3)) t)) (+.f64 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t) (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (pow.f64 y 2)) t)))))
(fma.f64 -1/4 (/.f64 (pow.f64 (expm1.f64 z) 4) (/.f64 t (pow.f64 y 4))) (fma.f64 1/3 (/.f64 (pow.f64 (expm1.f64 z) 3) (/.f64 t (pow.f64 y 3))) (+.f64 (/.f64 (expm1.f64 z) (/.f64 t y)) (*.f64 -1/2 (/.f64 (pow.f64 (expm1.f64 z) 2) (/.f64 t (*.f64 y y)))))))
(fma.f64 -1/4 (*.f64 (/.f64 (pow.f64 (expm1.f64 z) 4) t) (pow.f64 y 4)) (fma.f64 1/3 (*.f64 (/.f64 (pow.f64 (expm1.f64 z) 3) t) (pow.f64 y 3)) (fma.f64 -1/2 (*.f64 (/.f64 (pow.f64 (expm1.f64 z) 2) t) (*.f64 y y)) (*.f64 (/.f64 (expm1.f64 z) t) y))))
(fma.f64 -1/4 (*.f64 (/.f64 (pow.f64 (expm1.f64 z) 4) t) (pow.f64 y 4)) (fma.f64 -1/2 (*.f64 (/.f64 (pow.f64 (expm1.f64 z) 2) t) (*.f64 y y)) (fma.f64 1/3 (*.f64 (/.f64 (pow.f64 (expm1.f64 z) 3) t) (pow.f64 y 3)) (*.f64 (/.f64 y t) (expm1.f64 z)))))
(/.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) t)
(/.f64 (+.f64 (log.f64 (expm1.f64 z)) (neg.f64 (neg.f64 (log.f64 y)))) t)
(/.f64 (+.f64 (log.f64 (expm1.f64 z)) (log.f64 y)) t)
(+.f64 (/.f64 (log.f64 (-.f64 (exp.f64 z) 1)) t) (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 y)) t)) (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) (*.f64 y t)))))
(+.f64 (/.f64 (log.f64 (expm1.f64 z)) t) (fma.f64 -1 (/.f64 (neg.f64 (log.f64 y)) t) (/.f64 1 (*.f64 (expm1.f64 z) (*.f64 y t)))))
(+.f64 (/.f64 (log.f64 (expm1.f64 z)) t) (+.f64 (/.f64 (log.f64 y) t) (/.f64 (/.f64 1 (*.f64 (expm1.f64 z) y)) t)))
(+.f64 (/.f64 (/.f64 1 (*.f64 y t)) (expm1.f64 z)) (/.f64 (+.f64 (log.f64 (expm1.f64 z)) (log.f64 y)) t))
(-.f64 (+.f64 (/.f64 (log.f64 (-.f64 (exp.f64 z) 1)) t) (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 y)) t)) (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) (*.f64 y t))))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (*.f64 (pow.f64 y 2) t)))))
(+.f64 (/.f64 (log.f64 (expm1.f64 z)) t) (-.f64 (fma.f64 -1 (/.f64 (neg.f64 (log.f64 y)) t) (/.f64 1 (*.f64 (expm1.f64 z) (*.f64 y t)))) (/.f64 1/2 (*.f64 (pow.f64 (expm1.f64 z) 2) (*.f64 t (*.f64 y y))))))
(+.f64 (/.f64 (log.f64 (expm1.f64 z)) t) (-.f64 (+.f64 (/.f64 (log.f64 y) t) (/.f64 (/.f64 1 (*.f64 (expm1.f64 z) y)) t)) (/.f64 1/2 (*.f64 (pow.f64 (expm1.f64 z) 2) (*.f64 y (*.f64 y t))))))
(+.f64 (/.f64 (/.f64 1 (*.f64 y t)) (expm1.f64 z)) (-.f64 (/.f64 (+.f64 (log.f64 (expm1.f64 z)) (log.f64 y)) t) (/.f64 (/.f64 1/2 (*.f64 t (*.f64 y y))) (pow.f64 (expm1.f64 z) 2))))
(-.f64 (+.f64 (/.f64 (log.f64 (-.f64 (exp.f64 z) 1)) t) (+.f64 (*.f64 1/3 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 3) (*.f64 (pow.f64 y 3) t)))) (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 y)) t)) (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) (*.f64 y t)))))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (*.f64 (pow.f64 y 2) t)))))
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(+.f64 (/.f64 (/.f64 1/2 (*.f64 t (*.f64 y y))) (pow.f64 (expm1.f64 z) 2)) (-.f64 x (+.f64 (+.f64 (/.f64 (/.f64 1 (*.f64 y t)) (expm1.f64 z)) (/.f64 (/.f64 (/.f64 1/3 (pow.f64 y 3)) (pow.f64 (expm1.f64 z) 3)) t)) (/.f64 (-.f64 (log.f64 (neg.f64 (expm1.f64 z))) (log.f64 (/.f64 -1 y))) t))))
x
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(fma.f64 -1 (/.f64 y (/.f64 t z)) x)
(-.f64 x (*.f64 (/.f64 y t) z))
(-.f64 x (*.f64 (/.f64 z t) y))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 z 2) (+.f64 (*.f64 -1 (pow.f64 y 2)) y)) t)) x))
(fma.f64 -1 (/.f64 y (/.f64 t z)) (fma.f64 -1/2 (/.f64 (*.f64 (*.f64 z z) (fma.f64 -1 (*.f64 y y) y)) t) x))
(-.f64 (fma.f64 -1/2 (/.f64 z (/.f64 (/.f64 t (-.f64 y (*.f64 y y))) z)) x) (*.f64 (/.f64 y t) z))
(-.f64 (fma.f64 -1/2 (*.f64 (/.f64 z (/.f64 t z)) (-.f64 y (*.f64 y y))) x) (*.f64 (/.f64 z t) y))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) (+.f64 (*.f64 -1/6 (/.f64 (*.f64 (+.f64 y (+.f64 (*.f64 -3 (pow.f64 y 2)) (*.f64 2 (pow.f64 y 3)))) (pow.f64 z 3)) t)) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 z 2) (+.f64 (*.f64 -1 (pow.f64 y 2)) y)) t)) x)))
(fma.f64 -1 (/.f64 y (/.f64 t z)) (fma.f64 -1/6 (/.f64 (+.f64 y (fma.f64 -3 (*.f64 y y) (*.f64 2 (pow.f64 y 3)))) (/.f64 t (pow.f64 z 3))) (fma.f64 -1/2 (/.f64 (*.f64 (*.f64 z z) (fma.f64 -1 (*.f64 y y) y)) t) x)))
(-.f64 (fma.f64 (*.f64 (/.f64 (fma.f64 (*.f64 y y) -3 (fma.f64 2 (pow.f64 y 3) y)) t) (pow.f64 z 3)) -1/6 (fma.f64 -1/2 (/.f64 z (/.f64 (/.f64 t (-.f64 y (*.f64 y y))) z)) x)) (*.f64 (/.f64 y t) z))
(-.f64 (fma.f64 (*.f64 (/.f64 (fma.f64 2 (pow.f64 y 3) (fma.f64 y (*.f64 y -3) y)) t) (pow.f64 z 3)) -1/6 (fma.f64 -1/2 (*.f64 (/.f64 z (/.f64 t z)) (-.f64 y (*.f64 y y))) x)) (*.f64 (/.f64 z t) y))
(-.f64 x (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t))
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))
(-.f64 x (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t))
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))
(-.f64 x (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t))
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))
(-.f64 x (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t))
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))
(-.f64 x (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t))
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))
(-.f64 x (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t))
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))
(-.f64 x (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t))
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))
(-.f64 x (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t))
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))
(*.f64 -1 (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t))
(neg.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))
(/.f64 (neg.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) t)
(+.f64 (*.f64 -1 (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)) x)
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))
(+.f64 (*.f64 -1 (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)) x)
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))
(+.f64 (*.f64 -1 (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)) x)
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))
x
(+.f64 (*.f64 -1 (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)) x)
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))
(+.f64 (*.f64 -1 (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)) x)
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))
(+.f64 (*.f64 -1 (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)) x)
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))
x
(+.f64 (*.f64 -1 (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)) x)
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))
(+.f64 (*.f64 -1 (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)) x)
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))
(+.f64 (*.f64 -1 (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)) x)
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))

eval147.0ms (0.7%)

Compiler

Compiled 9482 to 3276 computations (65.5% saved)

prune199.0ms (0.9%)

Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New30510315
Fresh000
Picked011
Done000
Total30511316
Error
0b
Counts
316 → 11
Alt Table
Click to see full alt table
StatusErrorProgram
27.7b
(-.f64 x (/.f64 (fma.f64 z y (*.f64 (*.f64 z z) (*.f64 (-.f64 y (*.f64 y y)) 1/2))) t))
✓0.8b
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))
21.3b
(-.f64 x (*.f64 (/.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 1) (/.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) t)))
▶45.6b
(/.f64 (neg.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) t)
▶17.5b
(-.f64 x (*.f64 (/.f64 z t) y))
20.3b
(-.f64 x (pow.f64 (sqrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 2))
16.3b
(-.f64 x (/.f64 (*.f64 z y) t))
18.1b
x
▶33.5b
(pow.f64 (sqrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) 2)
▶0.8b
(-.f64 x (*.f64 (/.f64 1 t) (log1p.f64 (*.f64 y (expm1.f64 z)))))
▶9.7b
(-.f64 x (*.f64 (/.f64 y t) (expm1.f64 z)))
Compiler

Compiled 294 to 197 computations (33% saved)

localize18.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(-.f64 x (*.f64 (/.f64 1 t) (log1p.f64 (*.f64 y (expm1.f64 z)))))
0.2b
(log1p.f64 (*.f64 y (expm1.f64 z)))
✓3.7b
(*.f64 (/.f64 1 t) (log1p.f64 (*.f64 y (expm1.f64 z))))
Compiler

Compiled 43 to 17 computations (60.5% saved)

series17.0ms (0.1%)

Counts
2 → 84
Calls

21 calls:

TimeVariablePointExpression
11.0ms
y
@-inf
(-.f64 x (*.f64 (/.f64 1 t) (log1p.f64 (*.f64 y (expm1.f64 z)))))
0.0ms
t
@0
(*.f64 (/.f64 1 t) (log1p.f64 (*.f64 y (expm1.f64 z))))
0.0ms
y
@-inf
(*.f64 (/.f64 1 t) (log1p.f64 (*.f64 y (expm1.f64 z))))
0.0ms
y
@inf
(*.f64 (/.f64 1 t) (log1p.f64 (*.f64 y (expm1.f64 z))))
0.0ms
y
@inf
(-.f64 x (*.f64 (/.f64 1 t) (log1p.f64 (*.f64 y (expm1.f64 z)))))

rewrite136.0ms (0.6%)

Algorithm
1×batch-egg-rewrite
Rules
863×prod-diff_binary64
604×log-prod_binary64
314×pow2_binary64
244×fma-def_binary64
218×pow1/3_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01225
124725
2317625
Stop Event
1×node limit
Counts
2 → 204
Calls
Call 1
Inputs
(*.f64 (/.f64 1 t) (log1p.f64 (*.f64 y (expm1.f64 z))))
(-.f64 x (*.f64 (/.f64 1 t) (log1p.f64 (*.f64 y (expm1.f64 z)))))
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (/.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) t))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 (/.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) t) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) (fma.f64 (/.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) t) 1 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 2) (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) (fma.f64 (/.f64 -1 t) (log1p.f64 (*.f64 y (expm1.f64 z))) (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))))) (#(struct:change #<rule egg-rr> (2) ((x 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(expm1.f64 z)))) t)) (sqrt.f64 (/.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) t)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (/.f64 1 t) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (sqrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) (sqrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) (-.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) (fma.f64 (/.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) t) 1 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) (-.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 2) (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) (-.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) (fma.f64 (/.f64 -1 t) (log1p.f64 (*.f64 y (expm1.f64 z))) (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 2)) (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 -1 t) 1) (log1p.f64 (*.f64 y (expm1.f64 z))) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 -1 t) (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 2)) (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 -1 t) (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) x)))))

simplify216.0ms (1%)

Algorithm
1×egg-herbie
Rules
574×fma-neg_binary64
494×associate-*r*_binary64
441×associate-*l*_binary64
407×fma-def_binary64
305×associate-/r*_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01541917
14671867
215161809
374681809
Stop Event
1×node limit
Counts
288 → 272
Calls
Call 1
Inputs
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(+.f64 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t) (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (pow.f64 y 2)) t)))
(+.f64 (*.f64 1/3 (/.f64 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 3) (pow.f64 y 3)) t)) (+.f64 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t) (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (pow.f64 y 2)) t))))
(+.f64 (*.f64 -1/4 (/.f64 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 4) (pow.f64 y 4)) t)) (+.f64 (*.f64 1/3 (/.f64 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 3) (pow.f64 y 3)) t)) (+.f64 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t) (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (pow.f64 y 2)) t)))))
(/.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) t)
(+.f64 (/.f64 (log.f64 (-.f64 (exp.f64 z) 1)) t) (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 y)) t)) (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) (*.f64 y t)))))
(-.f64 (+.f64 (/.f64 (log.f64 (-.f64 (exp.f64 z) 1)) t) (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 y)) t)) (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) (*.f64 y t))))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (*.f64 (pow.f64 y 2) t)))))
(-.f64 (+.f64 (/.f64 (log.f64 (-.f64 (exp.f64 z) 1)) t) (+.f64 (*.f64 1/3 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 3) (*.f64 (pow.f64 y 3) t)))) (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 y)) t)) (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) (*.f64 y t)))))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (*.f64 (pow.f64 y 2) t)))))
(/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1)))) t)
(+.f64 (/.f64 (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1))) t) (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 y)) t)) (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) (*.f64 y t)))))
(-.f64 (+.f64 (/.f64 (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1))) t) (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 y)) t)) (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) (*.f64 y t))))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (*.f64 (pow.f64 y 2) t)))))
(-.f64 (+.f64 (/.f64 (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1))) t) (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 y)) t)) (+.f64 (*.f64 1/3 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 3) (*.f64 (pow.f64 y 3) t)))) (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) (*.f64 y t)))))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (*.f64 (pow.f64 y 2) t)))))
(/.f64 (*.f64 y z) t)
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 z 2) (+.f64 (*.f64 -1 (pow.f64 y 2)) y)) t)) (/.f64 (*.f64 y z) t))
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 z 2) (+.f64 (*.f64 -1 (pow.f64 y 2)) y)) t)) (+.f64 (*.f64 1/6 (/.f64 (*.f64 (+.f64 y (+.f64 (*.f64 -3 (pow.f64 y 2)) (*.f64 2 (pow.f64 y 3)))) (pow.f64 z 3)) t)) (/.f64 (*.f64 y z) t)))
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 z 2) (+.f64 (*.f64 -1 (pow.f64 y 2)) y)) t)) (+.f64 (*.f64 1/6 (/.f64 (*.f64 (+.f64 y (+.f64 (*.f64 -3 (pow.f64 y 2)) (*.f64 2 (pow.f64 y 3)))) (pow.f64 z 3)) t)) (+.f64 (/.f64 (*.f64 y z) t) (*.f64 1/24 (/.f64 (*.f64 (+.f64 y (+.f64 (*.f64 -3 (pow.f64 y 2)) (+.f64 (*.f64 12 (pow.f64 y 3)) (+.f64 (*.f64 -4 (pow.f64 y 2)) (*.f64 -6 (pow.f64 y 4)))))) (pow.f64 z 4)) t)))))
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)
(*.f64 -1 (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t))
(+.f64 (*.f64 -1 (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)) x)
(+.f64 (*.f64 -1 (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)) x)
(+.f64 (*.f64 -1 (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)) x)
x
(+.f64 (*.f64 -1 (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)) x)
(+.f64 (*.f64 -1 (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)) x)
(+.f64 (*.f64 -1 (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)) x)
x
(+.f64 (*.f64 -1 (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)) x)
(+.f64 (*.f64 -1 (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)) x)
(+.f64 (*.f64 -1 (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)) x)
(*.f64 -1 (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t))
(+.f64 (*.f64 -1 (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)) x)
(+.f64 (*.f64 -1 (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)) x)
(+.f64 (*.f64 -1 (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)) x)
x
(+.f64 (*.f64 -1 (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)) x)
(+.f64 (*.f64 -1 (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)) x)
(+.f64 (*.f64 -1 (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)) x)
x
(+.f64 (*.f64 -1 (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)) x)
(+.f64 (*.f64 -1 (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)) x)
(+.f64 (*.f64 -1 (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)) x)
x
(+.f64 (*.f64 y (-.f64 (/.f64 1 t) (/.f64 (exp.f64 z) t))) x)
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (pow.f64 y 2)) t)) (+.f64 (*.f64 y (-.f64 (/.f64 1 t) (/.f64 (exp.f64 z) t))) x))
(+.f64 (*.f64 -1/3 (/.f64 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 3) (pow.f64 y 3)) t)) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (pow.f64 y 2)) t)) (+.f64 (*.f64 y (-.f64 (/.f64 1 t) (/.f64 (exp.f64 z) t))) x)))
(-.f64 x (+.f64 (/.f64 (log.f64 (-.f64 (exp.f64 z) 1)) t) (*.f64 -1 (/.f64 (log.f64 (/.f64 1 y)) t))))
(-.f64 x (+.f64 (/.f64 (log.f64 (-.f64 (exp.f64 z) 1)) t) (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 y)) t)) (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) (*.f64 y t))))))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (*.f64 (pow.f64 y 2) t)))) x) (+.f64 (/.f64 (log.f64 (-.f64 (exp.f64 z) 1)) t) (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 y)) t)) (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) (*.f64 y t))))))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (*.f64 (pow.f64 y 2) t)))) x) (+.f64 (/.f64 (log.f64 (-.f64 (exp.f64 z) 1)) t) (+.f64 (*.f64 1/3 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 3) (*.f64 (pow.f64 y 3) t)))) (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 y)) t)) (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) (*.f64 y t)))))))
(-.f64 x (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 y)) t)) (/.f64 (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1))) t)))
(-.f64 x (+.f64 (/.f64 (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1))) t) (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 y)) t)) (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) (*.f64 y t))))))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (*.f64 (pow.f64 y 2) t)))) x) (+.f64 (/.f64 (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1))) t) (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 y)) t)) (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) (*.f64 y t))))))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (*.f64 (pow.f64 y 2) t)))) x) (+.f64 (/.f64 (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1))) t) (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 y)) t)) (+.f64 (*.f64 1/3 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 3) (*.f64 (pow.f64 y 3) t)))) (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) (*.f64 y t)))))))
x
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 z 2) (+.f64 (*.f64 -1 (pow.f64 y 2)) y)) t)) x))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) (+.f64 (*.f64 -1/6 (/.f64 (*.f64 (+.f64 y (+.f64 (*.f64 -3 (pow.f64 y 2)) (*.f64 2 (pow.f64 y 3)))) (pow.f64 z 3)) t)) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 z 2) (+.f64 (*.f64 -1 (pow.f64 y 2)) y)) t)) x)))
(-.f64 x (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t))
(-.f64 x (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t))
(-.f64 x (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t))
(-.f64 x (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t))
(-.f64 x (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t))
(-.f64 x (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t))
(-.f64 x (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t))
(-.f64 x (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t))
Outputs
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)
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(+.f64 (*.f64 -1 (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)) x)
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))
(*.f64 -1 (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t))
(neg.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))
(/.f64 (neg.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) t)
(+.f64 (*.f64 -1 (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)) x)
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))
(+.f64 (*.f64 -1 (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)) x)
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))
(+.f64 (*.f64 -1 (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)) x)
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))
x
(+.f64 (*.f64 -1 (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)) x)
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))
(+.f64 (*.f64 -1 (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)) x)
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))
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(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))
x
(+.f64 (*.f64 -1 (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)) x)
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))
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(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))
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(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))
x
(+.f64 (*.f64 y (-.f64 (/.f64 1 t) (/.f64 (exp.f64 z) t))) x)
(fma.f64 y (-.f64 (/.f64 1 t) (/.f64 (exp.f64 z) t)) x)
(fma.f64 y (-.f64 0 (/.f64 (expm1.f64 z) t)) x)
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (pow.f64 y 2)) t)) (+.f64 (*.f64 y (-.f64 (/.f64 1 t) (/.f64 (exp.f64 z) t))) x))
(fma.f64 1/2 (/.f64 (pow.f64 (expm1.f64 z) 2) (/.f64 t (*.f64 y y))) (fma.f64 y (-.f64 (/.f64 1 t) (/.f64 (exp.f64 z) t)) x))
(fma.f64 (*.f64 (/.f64 (pow.f64 (expm1.f64 z) 2) t) (*.f64 y y)) 1/2 (fma.f64 y (-.f64 (/.f64 1 t) (/.f64 (exp.f64 z) t)) x))
(fma.f64 (*.f64 (*.f64 y y) (/.f64 (pow.f64 (expm1.f64 z) 2) t)) 1/2 (fma.f64 y (-.f64 0 (/.f64 (expm1.f64 z) t)) x))
(+.f64 (*.f64 -1/3 (/.f64 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 3) (pow.f64 y 3)) t)) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (pow.f64 y 2)) t)) (+.f64 (*.f64 y (-.f64 (/.f64 1 t) (/.f64 (exp.f64 z) t))) x)))
(fma.f64 -1/3 (/.f64 (pow.f64 (expm1.f64 z) 3) (/.f64 t (pow.f64 y 3))) (fma.f64 1/2 (/.f64 (pow.f64 (expm1.f64 z) 2) (/.f64 t (*.f64 y y))) (fma.f64 y (-.f64 (/.f64 1 t) (/.f64 (exp.f64 z) t)) x)))
(fma.f64 (*.f64 (/.f64 (pow.f64 (expm1.f64 z) 3) t) (pow.f64 y 3)) -1/3 (fma.f64 (*.f64 (/.f64 (pow.f64 (expm1.f64 z) 2) t) (*.f64 y y)) 1/2 (fma.f64 y (-.f64 (/.f64 1 t) (/.f64 (exp.f64 z) t)) x)))
(fma.f64 (*.f64 (pow.f64 y 3) (/.f64 (pow.f64 (expm1.f64 z) 3) t)) -1/3 (fma.f64 (*.f64 (*.f64 y y) (/.f64 (pow.f64 (expm1.f64 z) 2) t)) 1/2 (fma.f64 y (-.f64 0 (/.f64 (expm1.f64 z) t)) x)))
(-.f64 x (+.f64 (/.f64 (log.f64 (-.f64 (exp.f64 z) 1)) t) (*.f64 -1 (/.f64 (log.f64 (/.f64 1 y)) t))))
(-.f64 x (+.f64 (/.f64 (log.f64 (expm1.f64 z)) t) (/.f64 (neg.f64 (neg.f64 (log.f64 y))) t)))
(-.f64 x (+.f64 (/.f64 (log.f64 (expm1.f64 z)) t) (/.f64 (log.f64 y) t)))
(-.f64 x (/.f64 (+.f64 (log.f64 (expm1.f64 z)) (log.f64 y)) t))
(-.f64 x (+.f64 (/.f64 (log.f64 (-.f64 (exp.f64 z) 1)) t) (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 y)) t)) (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) (*.f64 y t))))))
(-.f64 (-.f64 x (/.f64 (log.f64 (expm1.f64 z)) t)) (fma.f64 -1 (/.f64 (neg.f64 (log.f64 y)) t) (/.f64 1 (*.f64 (expm1.f64 z) (*.f64 y t)))))
(-.f64 (-.f64 (-.f64 x (/.f64 (log.f64 (expm1.f64 z)) t)) (/.f64 1 (*.f64 y (*.f64 (expm1.f64 z) t)))) (/.f64 (log.f64 y) t))
(+.f64 x (-.f64 (/.f64 -1 (*.f64 (*.f64 (expm1.f64 z) y) t)) (/.f64 (+.f64 (log.f64 (expm1.f64 z)) (log.f64 y)) t)))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (*.f64 (pow.f64 y 2) t)))) x) (+.f64 (/.f64 (log.f64 (-.f64 (exp.f64 z) 1)) t) (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 y)) t)) (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) (*.f64 y t))))))
(+.f64 (/.f64 1/2 (*.f64 (pow.f64 (expm1.f64 z) 2) (*.f64 t (*.f64 y y)))) (-.f64 (-.f64 x (/.f64 (log.f64 (expm1.f64 z)) t)) (fma.f64 -1 (/.f64 (neg.f64 (log.f64 y)) t) (/.f64 1 (*.f64 (expm1.f64 z) (*.f64 y t))))))
(+.f64 (/.f64 1/2 (*.f64 t (*.f64 (pow.f64 (expm1.f64 z) 2) (*.f64 y y)))) (-.f64 (-.f64 (-.f64 x (/.f64 (log.f64 (expm1.f64 z)) t)) (/.f64 1 (*.f64 y (*.f64 (expm1.f64 z) t)))) (/.f64 (log.f64 y) t)))
(+.f64 (/.f64 (/.f64 (/.f64 1/2 (*.f64 y y)) t) (pow.f64 (expm1.f64 z) 2)) (+.f64 x (-.f64 (/.f64 -1 (*.f64 (*.f64 (expm1.f64 z) y) t)) (/.f64 (+.f64 (log.f64 (expm1.f64 z)) (log.f64 y)) t))))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (*.f64 (pow.f64 y 2) t)))) x) (+.f64 (/.f64 (log.f64 (-.f64 (exp.f64 z) 1)) t) (+.f64 (*.f64 1/3 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 3) (*.f64 (pow.f64 y 3) t)))) (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 y)) t)) (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) (*.f64 y t)))))))
(+.f64 (/.f64 1/2 (*.f64 (pow.f64 (expm1.f64 z) 2) (*.f64 t (*.f64 y y)))) (-.f64 x (+.f64 (/.f64 (log.f64 (expm1.f64 z)) t) (+.f64 (fma.f64 -1 (/.f64 (neg.f64 (log.f64 y)) t) (/.f64 1 (*.f64 (expm1.f64 z) (*.f64 y t)))) (/.f64 1/3 (*.f64 (pow.f64 (expm1.f64 z) 3) (*.f64 t (pow.f64 y 3))))))))
(-.f64 (+.f64 (/.f64 1/2 (*.f64 t (*.f64 (pow.f64 (expm1.f64 z) 2) (*.f64 y y)))) x) (+.f64 (+.f64 (/.f64 (log.f64 y) t) (/.f64 1 (*.f64 y (*.f64 (expm1.f64 z) t)))) (+.f64 (/.f64 (log.f64 (expm1.f64 z)) t) (/.f64 1/3 (*.f64 (pow.f64 y 3) (*.f64 t (pow.f64 (expm1.f64 z) 3)))))))
(+.f64 x (+.f64 (/.f64 (/.f64 (/.f64 1/2 (*.f64 y y)) t) (pow.f64 (expm1.f64 z) 2)) (-.f64 (-.f64 (/.f64 -1 (*.f64 (*.f64 (expm1.f64 z) y) t)) (/.f64 (+.f64 (log.f64 (expm1.f64 z)) (log.f64 y)) t)) (/.f64 1/3 (*.f64 t (*.f64 (pow.f64 (expm1.f64 z) 3) (pow.f64 y 3)))))))
(-.f64 x (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 y)) t)) (/.f64 (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1))) t)))
(-.f64 x (fma.f64 -1 (/.f64 (log.f64 (/.f64 -1 y)) t) (/.f64 (log.f64 (neg.f64 (expm1.f64 z))) t)))
(-.f64 x (-.f64 (/.f64 (log.f64 (neg.f64 (expm1.f64 z))) t) (/.f64 (log.f64 (/.f64 -1 y)) t)))
(-.f64 x (/.f64 (-.f64 (log.f64 (neg.f64 (expm1.f64 z))) (log.f64 (/.f64 -1 y))) t))
(-.f64 x (+.f64 (/.f64 (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1))) t) (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 y)) t)) (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) (*.f64 y t))))))
(-.f64 x (+.f64 (/.f64 (log.f64 (neg.f64 (expm1.f64 z))) t) (fma.f64 -1 (/.f64 (log.f64 (/.f64 -1 y)) t) (/.f64 1 (*.f64 (expm1.f64 z) (*.f64 y t))))))
(-.f64 x (+.f64 (/.f64 (log.f64 (neg.f64 (expm1.f64 z))) t) (-.f64 (/.f64 1 (*.f64 y (*.f64 (expm1.f64 z) t))) (/.f64 (log.f64 (/.f64 -1 y)) t))))
(-.f64 (-.f64 x (/.f64 1 (*.f64 (*.f64 (expm1.f64 z) y) t))) (/.f64 (-.f64 (log.f64 (neg.f64 (expm1.f64 z))) (log.f64 (/.f64 -1 y))) t))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (*.f64 (pow.f64 y 2) t)))) x) (+.f64 (/.f64 (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1))) t) (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 y)) t)) (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) (*.f64 y t))))))
(+.f64 (/.f64 1/2 (*.f64 (pow.f64 (expm1.f64 z) 2) (*.f64 t (*.f64 y y)))) (-.f64 x (+.f64 (/.f64 (log.f64 (neg.f64 (expm1.f64 z))) t) (fma.f64 -1 (/.f64 (log.f64 (/.f64 -1 y)) t) (/.f64 1 (*.f64 (expm1.f64 z) (*.f64 y t)))))))
(-.f64 (+.f64 (/.f64 1/2 (*.f64 t (*.f64 (pow.f64 (expm1.f64 z) 2) (*.f64 y y)))) x) (+.f64 (/.f64 (log.f64 (neg.f64 (expm1.f64 z))) t) (-.f64 (/.f64 1 (*.f64 y (*.f64 (expm1.f64 z) t))) (/.f64 (log.f64 (/.f64 -1 y)) t))))
(+.f64 (/.f64 (/.f64 (/.f64 1/2 (*.f64 y y)) t) (pow.f64 (expm1.f64 z) 2)) (-.f64 (-.f64 x (/.f64 1 (*.f64 (*.f64 (expm1.f64 z) y) t))) (/.f64 (-.f64 (log.f64 (neg.f64 (expm1.f64 z))) (log.f64 (/.f64 -1 y))) t)))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (*.f64 (pow.f64 y 2) t)))) x) (+.f64 (/.f64 (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1))) t) (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 y)) t)) (+.f64 (*.f64 1/3 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 3) (*.f64 (pow.f64 y 3) t)))) (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) (*.f64 y t)))))))
(-.f64 (+.f64 (/.f64 1/2 (*.f64 (pow.f64 (expm1.f64 z) 2) (*.f64 t (*.f64 y y)))) x) (+.f64 (/.f64 (log.f64 (neg.f64 (expm1.f64 z))) t) (fma.f64 -1 (/.f64 (log.f64 (/.f64 -1 y)) t) (+.f64 (/.f64 1 (*.f64 (expm1.f64 z) (*.f64 y t))) (/.f64 1/3 (*.f64 (pow.f64 (expm1.f64 z) 3) (*.f64 t (pow.f64 y 3))))))))
(+.f64 (/.f64 1/2 (*.f64 t (*.f64 (pow.f64 (expm1.f64 z) 2) (*.f64 y y)))) (-.f64 (-.f64 x (/.f64 (log.f64 (neg.f64 (expm1.f64 z))) t)) (+.f64 (/.f64 1/3 (*.f64 (pow.f64 y 3) (*.f64 t (pow.f64 (expm1.f64 z) 3)))) (-.f64 (/.f64 1 (*.f64 y (*.f64 (expm1.f64 z) t))) (/.f64 (log.f64 (/.f64 -1 y)) t)))))
(-.f64 (+.f64 (/.f64 (/.f64 (/.f64 1/2 (*.f64 y y)) t) (pow.f64 (expm1.f64 z) 2)) x) (+.f64 (+.f64 (/.f64 1 (*.f64 (*.f64 (expm1.f64 z) y) t)) (/.f64 1/3 (*.f64 t (*.f64 (pow.f64 (expm1.f64 z) 3) (pow.f64 y 3))))) (/.f64 (-.f64 (log.f64 (neg.f64 (expm1.f64 z))) (log.f64 (/.f64 -1 y))) t)))
x
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(fma.f64 -1 (/.f64 y (/.f64 t z)) x)
(-.f64 x (*.f64 (/.f64 y t) z))
(-.f64 x (*.f64 (/.f64 z t) y))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 z 2) (+.f64 (*.f64 -1 (pow.f64 y 2)) y)) t)) x))
(fma.f64 -1 (/.f64 y (/.f64 t z)) (fma.f64 -1/2 (/.f64 (*.f64 z z) (/.f64 t (fma.f64 -1 (*.f64 y y) y))) x))
(-.f64 (fma.f64 -1/2 (/.f64 (-.f64 y (*.f64 y y)) (/.f64 t (*.f64 z z))) x) (*.f64 (/.f64 y t) z))
(-.f64 (fma.f64 -1/2 (*.f64 (/.f64 (-.f64 y (*.f64 y y)) t) (*.f64 z z)) x) (*.f64 (/.f64 z t) y))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) (+.f64 (*.f64 -1/6 (/.f64 (*.f64 (+.f64 y (+.f64 (*.f64 -3 (pow.f64 y 2)) (*.f64 2 (pow.f64 y 3)))) (pow.f64 z 3)) t)) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 z 2) (+.f64 (*.f64 -1 (pow.f64 y 2)) y)) t)) x)))
(fma.f64 -1 (/.f64 y (/.f64 t z)) (fma.f64 -1/6 (/.f64 (+.f64 y (fma.f64 -3 (*.f64 y y) (*.f64 2 (pow.f64 y 3)))) (/.f64 t (pow.f64 z 3))) (fma.f64 -1/2 (/.f64 (*.f64 z z) (/.f64 t (fma.f64 -1 (*.f64 y y) y))) x)))
(-.f64 (fma.f64 (*.f64 (/.f64 (+.f64 y (fma.f64 2 (pow.f64 y 3) (*.f64 (*.f64 y y) -3))) t) (pow.f64 z 3)) -1/6 (fma.f64 -1/2 (/.f64 (-.f64 y (*.f64 y y)) (/.f64 t (*.f64 z z))) x)) (*.f64 (/.f64 y t) z))
(-.f64 (fma.f64 (*.f64 (pow.f64 z 3) (/.f64 (fma.f64 y (*.f64 y -3) (fma.f64 2 (pow.f64 y 3) y)) t)) -1/6 (fma.f64 -1/2 (*.f64 (/.f64 (-.f64 y (*.f64 y y)) t) (*.f64 z z)) x)) (*.f64 (/.f64 z t) y))
(-.f64 x (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t))
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))
(-.f64 x (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t))
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))
(-.f64 x (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t))
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))
(-.f64 x (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t))
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))
(-.f64 x (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t))
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))
(-.f64 x (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t))
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))
(-.f64 x (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t))
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))
(-.f64 x (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t))
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))

localize8.0ms (0%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(-.f64 x (*.f64 (/.f64 z t) y))
✓6.9b
(*.f64 (/.f64 z t) y)
Compiler

Compiled 23 to 7 computations (69.6% saved)

series11.0ms (0.1%)

Counts
2 → 84
Calls

21 calls:

TimeVariablePointExpression
2.0ms
t
@inf
(*.f64 (/.f64 z t) y)
1.0ms
z
@0
(*.f64 (/.f64 z t) y)
1.0ms
t
@0
(*.f64 (/.f64 z t) y)
1.0ms
z
@inf
(*.f64 (/.f64 z t) y)
1.0ms
y
@inf
(*.f64 (/.f64 z t) y)

rewrite104.0ms (0.5%)

Algorithm
1×batch-egg-rewrite
Rules
667×prod-diff_binary64
502×log-prod_binary64
321×pow-prod-down_binary64
253×pow2_binary64
215×fma-def_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0817
117917
2262217
Stop Event
1×node limit
Counts
2 → 198
Calls
Call 1
Inputs
(*.f64 (/.f64 z t) y)
(-.f64 x (*.f64 (/.f64 z t) y))
Outputs
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(#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 1 (*.f64 (*.f64 (/.f64 z t) (neg.f64 y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 x (*.f64 (/.f64 z t) y)) 1 (fma.f64 (/.f64 (neg.f64 z) t) y (*.f64 (/.f64 z t) y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 x (*.f64 (/.f64 z t) y)) 1 (fma.f64 (*.f64 (/.f64 z t) (neg.f64 y)) 1 (*.f64 (/.f64 z t) y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 x (*.f64 (/.f64 z t) y)) 1 (fma.f64 (neg.f64 (cbrt.f64 (*.f64 (/.f64 z t) y))) (pow.f64 (cbrt.f64 (*.f64 (/.f64 z t) y)) 2) (*.f64 (/.f64 z t) y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (*.f64 (/.f64 z t) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (*.f64 (*.f64 (/.f64 z t) (neg.f64 y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (-.f64 x (*.f64 (/.f64 z t) y)) (fma.f64 (/.f64 (neg.f64 z) t) y (*.f64 (/.f64 z t) y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (-.f64 x (*.f64 (/.f64 z 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(#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 (/.f64 z t) y))) (-.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 (/.f64 z t) y))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 (/.f64 z t) y))) (pow.f64 (cbrt.f64 (*.f64 (/.f64 z t) y)) 2) (*.f64 (/.f64 z t) y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 z t) y)) 2)) (cbrt.f64 (*.f64 (/.f64 z t) y)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 (neg.f64 z) t) 1) y x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 (neg.f64 z) t) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 (neg.f64 z) t) (sqrt.f64 y)) (sqrt.f64 y) x)))))

simplify189.0ms (0.9%)

Algorithm
1×egg-herbie
Rules
365×fma-def_binary64
220×fma-neg_binary64
81×cancel-sign-sub-inv_binary64
54×associate-/l*_binary64
44×distribute-rgt-in_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
010708
119672
241672
380672
4141672
5214672
6300672
7378672
8482672
9747672
101170672
111326672
121445672
131450672
Stop Event
1×saturated
Counts
282 → 205
Calls
Call 1
Inputs
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(*.f64 -1 (/.f64 (*.f64 y z) t))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
x
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
x
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
x
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(*.f64 -1 (/.f64 (*.f64 y z) t))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(*.f64 -1 (/.f64 (*.f64 y z) t))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(*.f64 -1 (/.f64 (*.f64 y z) t))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
x
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
x
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
x
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(*.f64 -1 (/.f64 (*.f64 y z) t))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(*.f64 -1 (/.f64 (*.f64 y z) t))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
Outputs
(/.f64 (*.f64 y z) t)
(/.f64 y (/.f64 t z))
(*.f64 (/.f64 y t) z)
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(/.f64 (*.f64 y z) t)
(/.f64 y (/.f64 t z))
(*.f64 (/.f64 y t) z)
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(/.f64 (*.f64 y z) t)
(/.f64 y (/.f64 t z))
(*.f64 (/.f64 y t) z)
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(/.f64 (*.f64 y z) t)
(/.f64 y (/.f64 t z))
(*.f64 (/.f64 y t) z)
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(/.f64 (*.f64 y z) t)
(/.f64 y (/.f64 t z))
(*.f64 (/.f64 y t) z)
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(/.f64 (*.f64 y z) t)
(/.f64 y (/.f64 t z))
(*.f64 (/.f64 y t) z)
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(/.f64 (*.f64 y z) t)
(/.f64 y (/.f64 t z))
(*.f64 (/.f64 y t) z)
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(/.f64 (*.f64 y z) t)
(/.f64 y (/.f64 t z))
(*.f64 (/.f64 y t) z)
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(/.f64 (*.f64 y z) t)
(/.f64 y (/.f64 t z))
(*.f64 (/.f64 y t) z)
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(/.f64 (*.f64 y z) t)
(/.f64 y (/.f64 t z))
(*.f64 (/.f64 y t) z)
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(/.f64 (*.f64 y z) t)
(/.f64 y (/.f64 t z))
(*.f64 (/.f64 y t) z)
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(/.f64 (*.f64 y z) t)
(/.f64 y (/.f64 t z))
(*.f64 (/.f64 y t) z)
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(/.f64 (*.f64 y z) t)
(/.f64 y (/.f64 t z))
(*.f64 (/.f64 y t) z)
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(/.f64 (*.f64 y z) t)
(/.f64 y (/.f64 t z))
(*.f64 (/.f64 y t) z)
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(/.f64 (*.f64 y z) t)
(/.f64 y (/.f64 t z))
(*.f64 (/.f64 y t) z)
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(/.f64 (*.f64 y z) t)
(/.f64 y (/.f64 t z))
(*.f64 (/.f64 y t) z)
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
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(*.f64 y (/.f64 (neg.f64 z) t))
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(-.f64 x (*.f64 (/.f64 y t) z))
(-.f64 x (*.f64 z (/.f64 y t)))
(-.f64 x (*.f64 y (/.f64 z t)))
(-.f64 x (/.f64 (*.f64 y z) t))
x
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(-.f64 x (*.f64 (/.f64 y t) z))
(-.f64 x (*.f64 z (/.f64 y t)))
(-.f64 x (*.f64 y (/.f64 z t)))
(-.f64 x (/.f64 (*.f64 y z) t))
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(-.f64 x (/.f64 (*.f64 y z) t))
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(fma.f64 -1 (/.f64 y (/.f64 t z)) x)
(-.f64 x (*.f64 (/.f64 y t) z))
(-.f64 x (*.f64 z (/.f64 y t)))
(-.f64 x (*.f64 y (/.f64 z t)))
(-.f64 x (/.f64 (*.f64 y z) t))
x
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
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(-.f64 x (*.f64 (/.f64 y t) z))
(-.f64 x (*.f64 z (/.f64 y t)))
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(-.f64 x (/.f64 (*.f64 y z) t))
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(-.f64 x (*.f64 (/.f64 y t) z))
(-.f64 x (*.f64 z (/.f64 y t)))
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(-.f64 x (/.f64 (*.f64 y z) t))
x
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(fma.f64 -1 (/.f64 y (/.f64 t z)) x)
(-.f64 x (*.f64 (/.f64 y t) z))
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(-.f64 x (*.f64 y (/.f64 z t)))
(-.f64 x (/.f64 (*.f64 y z) t))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(fma.f64 -1 (/.f64 y (/.f64 t z)) x)
(-.f64 x (*.f64 (/.f64 y t) z))
(-.f64 x (*.f64 z (/.f64 y t)))
(-.f64 x (*.f64 y (/.f64 z t)))
(-.f64 x (/.f64 (*.f64 y z) t))
(*.f64 -1 (/.f64 (*.f64 y z) t))
(neg.f64 (/.f64 y (/.f64 t z)))
(/.f64 (neg.f64 (*.f64 y z)) t)
(/.f64 (neg.f64 y) (/.f64 t z))
(*.f64 y (/.f64 (neg.f64 z) t))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(fma.f64 -1 (/.f64 y (/.f64 t z)) x)
(-.f64 x (*.f64 (/.f64 y t) z))
(-.f64 x (*.f64 z (/.f64 y t)))
(-.f64 x (*.f64 y (/.f64 z t)))
(-.f64 x (/.f64 (*.f64 y z) t))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(fma.f64 -1 (/.f64 y (/.f64 t z)) x)
(-.f64 x (*.f64 (/.f64 y t) z))
(-.f64 x (*.f64 z (/.f64 y t)))
(-.f64 x (*.f64 y (/.f64 z t)))
(-.f64 x (/.f64 (*.f64 y z) t))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(fma.f64 -1 (/.f64 y (/.f64 t z)) x)
(-.f64 x (*.f64 (/.f64 y t) z))
(-.f64 x (*.f64 z (/.f64 y t)))
(-.f64 x (*.f64 y (/.f64 z t)))
(-.f64 x (/.f64 (*.f64 y z) t))
(*.f64 -1 (/.f64 (*.f64 y z) t))
(neg.f64 (/.f64 y (/.f64 t z)))
(/.f64 (neg.f64 (*.f64 y z)) t)
(/.f64 (neg.f64 y) (/.f64 t z))
(*.f64 y (/.f64 (neg.f64 z) t))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(fma.f64 -1 (/.f64 y (/.f64 t z)) x)
(-.f64 x (*.f64 (/.f64 y t) z))
(-.f64 x (*.f64 z (/.f64 y t)))
(-.f64 x (*.f64 y (/.f64 z t)))
(-.f64 x (/.f64 (*.f64 y z) t))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(fma.f64 -1 (/.f64 y (/.f64 t z)) x)
(-.f64 x (*.f64 (/.f64 y t) z))
(-.f64 x (*.f64 z (/.f64 y t)))
(-.f64 x (*.f64 y (/.f64 z t)))
(-.f64 x (/.f64 (*.f64 y z) t))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(fma.f64 -1 (/.f64 y (/.f64 t z)) x)
(-.f64 x (*.f64 (/.f64 y t) z))
(-.f64 x (*.f64 z (/.f64 y t)))
(-.f64 x (*.f64 y (/.f64 z t)))
(-.f64 x (/.f64 (*.f64 y z) t))
(*.f64 -1 (/.f64 (*.f64 y z) t))
(neg.f64 (/.f64 y (/.f64 t z)))
(/.f64 (neg.f64 (*.f64 y z)) t)
(/.f64 (neg.f64 y) (/.f64 t z))
(*.f64 y (/.f64 (neg.f64 z) t))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(fma.f64 -1 (/.f64 y (/.f64 t z)) x)
(-.f64 x (*.f64 (/.f64 y t) z))
(-.f64 x (*.f64 z (/.f64 y t)))
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(-.f64 x (/.f64 (*.f64 y z) t))
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(-.f64 x (*.f64 z (/.f64 y t)))
(-.f64 x (*.f64 y (/.f64 z t)))
(-.f64 x (/.f64 (*.f64 y z) t))
x
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(fma.f64 -1 (/.f64 y (/.f64 t z)) x)
(-.f64 x (*.f64 (/.f64 y t) z))
(-.f64 x (*.f64 z (/.f64 y t)))
(-.f64 x (*.f64 y (/.f64 z t)))
(-.f64 x (/.f64 (*.f64 y z) t))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(fma.f64 -1 (/.f64 y (/.f64 t z)) x)
(-.f64 x (*.f64 (/.f64 y t) z))
(-.f64 x (*.f64 z (/.f64 y t)))
(-.f64 x (*.f64 y (/.f64 z t)))
(-.f64 x (/.f64 (*.f64 y z) t))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(fma.f64 -1 (/.f64 y (/.f64 t z)) x)
(-.f64 x (*.f64 (/.f64 y t) z))
(-.f64 x (*.f64 z (/.f64 y t)))
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(-.f64 x (/.f64 (*.f64 y z) t))
x
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(-.f64 x (*.f64 (/.f64 y t) z))
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(-.f64 x (*.f64 y (/.f64 z t)))
(-.f64 x (/.f64 (*.f64 y z) t))
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(fma.f64 -1 (/.f64 y (/.f64 t z)) x)
(-.f64 x (*.f64 (/.f64 y t) z))
(-.f64 x (*.f64 z (/.f64 y t)))
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(-.f64 x (/.f64 (*.f64 y z) t))
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(fma.f64 -1 (/.f64 y (/.f64 t z)) x)
(-.f64 x (*.f64 (/.f64 y t) z))
(-.f64 x (*.f64 z (/.f64 y t)))
(-.f64 x (*.f64 y (/.f64 z t)))
(-.f64 x (/.f64 (*.f64 y z) t))
x
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(fma.f64 -1 (/.f64 y (/.f64 t z)) x)
(-.f64 x (*.f64 (/.f64 y t) z))
(-.f64 x (*.f64 z (/.f64 y t)))
(-.f64 x (*.f64 y (/.f64 z t)))
(-.f64 x (/.f64 (*.f64 y z) t))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(fma.f64 -1 (/.f64 y (/.f64 t z)) x)
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(fma.f64 -1 (/.f64 y (/.f64 t z)) x)
(-.f64 x (*.f64 (/.f64 y t) z))
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(-.f64 x (*.f64 y (/.f64 z t)))
(-.f64 x (/.f64 (*.f64 y z) t))
(*.f64 -1 (/.f64 (*.f64 y z) t))
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(/.f64 (neg.f64 (*.f64 y z)) t)
(/.f64 (neg.f64 y) (/.f64 t z))
(*.f64 y (/.f64 (neg.f64 z) t))
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(fma.f64 -1 (/.f64 y (/.f64 t z)) x)
(-.f64 x (*.f64 (/.f64 y t) z))
(-.f64 x (*.f64 z (/.f64 y t)))
(-.f64 x (*.f64 y (/.f64 z t)))
(-.f64 x (/.f64 (*.f64 y z) t))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(fma.f64 -1 (/.f64 y (/.f64 t z)) x)
(-.f64 x (*.f64 (/.f64 y t) z))
(-.f64 x (*.f64 z (/.f64 y t)))
(-.f64 x (*.f64 y (/.f64 z t)))
(-.f64 x (/.f64 (*.f64 y z) t))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(fma.f64 -1 (/.f64 y (/.f64 t z)) x)
(-.f64 x (*.f64 (/.f64 y t) z))
(-.f64 x (*.f64 z (/.f64 y t)))
(-.f64 x (*.f64 y (/.f64 z t)))
(-.f64 x (/.f64 (*.f64 y z) t))
(*.f64 -1 (/.f64 (*.f64 y z) t))
(neg.f64 (/.f64 y (/.f64 t z)))
(/.f64 (neg.f64 (*.f64 y z)) t)
(/.f64 (neg.f64 y) (/.f64 t z))
(*.f64 y (/.f64 (neg.f64 z) t))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(fma.f64 -1 (/.f64 y (/.f64 t z)) x)
(-.f64 x (*.f64 (/.f64 y t) z))
(-.f64 x (*.f64 z (/.f64 y t)))
(-.f64 x (*.f64 y (/.f64 z t)))
(-.f64 x (/.f64 (*.f64 y z) t))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(fma.f64 -1 (/.f64 y (/.f64 t z)) x)
(-.f64 x (*.f64 (/.f64 y t) z))
(-.f64 x (*.f64 z (/.f64 y t)))
(-.f64 x (*.f64 y (/.f64 z t)))
(-.f64 x (/.f64 (*.f64 y z) t))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(fma.f64 -1 (/.f64 y (/.f64 t z)) x)
(-.f64 x (*.f64 (/.f64 y t) z))
(-.f64 x (*.f64 z (/.f64 y t)))
(-.f64 x (*.f64 y (/.f64 z t)))
(-.f64 x (/.f64 (*.f64 y z) t))

localize51.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(-.f64 x (*.f64 (/.f64 y t) (expm1.f64 z)))
✓2.7b
(*.f64 (/.f64 y t) (expm1.f64 z))
Compiler

Compiled 27 to 8 computations (70.4% saved)

series38.0ms (0.2%)

Counts
2 → 84
Calls

21 calls:

TimeVariablePointExpression
24.0ms
z
@0
(*.f64 (/.f64 y t) (expm1.f64 z))
5.0ms
z
@-inf
(*.f64 (/.f64 y t) (expm1.f64 z))
1.0ms
y
@0
(*.f64 (/.f64 y t) (expm1.f64 z))
1.0ms
t
@inf
(*.f64 (/.f64 y t) (expm1.f64 z))
1.0ms
z
@inf
(*.f64 (/.f64 y t) (expm1.f64 z))

rewrite168.0ms (0.8%)

Algorithm
1×batch-egg-rewrite
Rules
667×prod-diff_binary64
540×log-prod_binary64
340×pow-prod-down_binary64
273×pow2_binary64
222×fma-def_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0921
119721
2281021
Stop Event
1×node limit
Counts
2 → 192
Calls
Call 1
Inputs
(*.f64 (/.f64 y t) (expm1.f64 z))
(-.f64 x (*.f64 (/.f64 y t) (expm1.f64 z)))
Outputs
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egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 (/.f64 y t) (expm1.f64 z)))) (-.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 (/.f64 y t) (expm1.f64 z)))) (fma.f64 (*.f64 (/.f64 y t) (neg.f64 (expm1.f64 z))) 1 (*.f64 (/.f64 y t) (expm1.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 (/.f64 y t) (expm1.f64 z)))) (-.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 (/.f64 y t) (expm1.f64 z)))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 (/.f64 y t) (expm1.f64 z)))) (pow.f64 (cbrt.f64 (*.f64 (/.f64 y t) (expm1.f64 z))) 2) (*.f64 (/.f64 y t) (expm1.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 y t) (expm1.f64 z))) 2)) (cbrt.f64 (*.f64 (/.f64 y t) (expm1.f64 z))) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 (neg.f64 y) t) 1) (expm1.f64 z) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 (neg.f64 y) t) (pow.f64 (cbrt.f64 (expm1.f64 z)) 2)) (cbrt.f64 (expm1.f64 z)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 (neg.f64 y) t) (sqrt.f64 (expm1.f64 z))) (sqrt.f64 (expm1.f64 z)) x)))))

simplify69.0ms (0.3%)

Algorithm
1×egg-herbie
Rules
522×cancel-sign-sub-inv_binary64
517×associate-*r*_binary64
512×associate-*l/_binary64
439×associate-/l/_binary64
418×associate-*l*_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
053942
1143933
2355933
31038911
44171888
Stop Event
1×node limit
Counts
276 → 216
Calls
Call 1
Inputs
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (*.f64 y z) t)
(+.f64 (/.f64 (*.f64 y z) t) (*.f64 1/2 (/.f64 (*.f64 y (pow.f64 z 2)) t)))
(+.f64 (*.f64 1/6 (/.f64 (*.f64 y (pow.f64 z 3)) t)) (+.f64 (/.f64 (*.f64 y z) t) (*.f64 1/2 (/.f64 (*.f64 y (pow.f64 z 2)) t))))
(+.f64 (*.f64 1/24 (/.f64 (*.f64 y (pow.f64 z 4)) t)) (+.f64 (*.f64 1/6 (/.f64 (*.f64 y (pow.f64 z 3)) t)) (+.f64 (/.f64 (*.f64 y z) t) (*.f64 1/2 (/.f64 (*.f64 y (pow.f64 z 2)) t)))))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)) x)
x
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)) x)
x
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)) x)
x
(+.f64 (*.f64 y (-.f64 (/.f64 1 t) (/.f64 (exp.f64 z) t))) x)
(+.f64 (*.f64 y (-.f64 (/.f64 1 t) (/.f64 (exp.f64 z) t))) x)
(+.f64 (*.f64 y (-.f64 (/.f64 1 t) (/.f64 (exp.f64 z) t))) x)
(*.f64 y (-.f64 (/.f64 1 t) (/.f64 (exp.f64 z) t)))
(+.f64 (*.f64 y (-.f64 (/.f64 1 t) (/.f64 (exp.f64 z) t))) x)
(+.f64 (*.f64 y (-.f64 (/.f64 1 t) (/.f64 (exp.f64 z) t))) x)
(+.f64 (*.f64 y (-.f64 (/.f64 1 t) (/.f64 (exp.f64 z) t))) x)
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)) x)
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)) x)
x
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)) x)
x
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)) x)
x
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 y (pow.f64 z 2)) t)) x))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 y (pow.f64 z 2)) t)) (+.f64 (*.f64 -1/6 (/.f64 (*.f64 y (pow.f64 z 3)) t)) x)))
(-.f64 x (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(-.f64 x (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(-.f64 x (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(-.f64 x (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(-.f64 x (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(-.f64 x (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(-.f64 x (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(-.f64 x (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
Outputs
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (expm1.f64 z) (/.f64 t y))
(*.f64 (/.f64 y t) (expm1.f64 z))
(*.f64 (expm1.f64 z) (/.f64 y t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (expm1.f64 z) (/.f64 t y))
(*.f64 (/.f64 y t) (expm1.f64 z))
(*.f64 (expm1.f64 z) (/.f64 y t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (expm1.f64 z) (/.f64 t y))
(*.f64 (/.f64 y t) (expm1.f64 z))
(*.f64 (expm1.f64 z) (/.f64 y t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (expm1.f64 z) (/.f64 t y))
(*.f64 (/.f64 y t) (expm1.f64 z))
(*.f64 (expm1.f64 z) (/.f64 y t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (expm1.f64 z) (/.f64 t y))
(*.f64 (/.f64 y t) (expm1.f64 z))
(*.f64 (expm1.f64 z) (/.f64 y t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (expm1.f64 z) (/.f64 t y))
(*.f64 (/.f64 y t) (expm1.f64 z))
(*.f64 (expm1.f64 z) (/.f64 y t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (expm1.f64 z) (/.f64 t y))
(*.f64 (/.f64 y t) (expm1.f64 z))
(*.f64 (expm1.f64 z) (/.f64 y t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (expm1.f64 z) (/.f64 t y))
(*.f64 (/.f64 y t) (expm1.f64 z))
(*.f64 (expm1.f64 z) (/.f64 y t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (expm1.f64 z) (/.f64 t y))
(*.f64 (/.f64 y t) (expm1.f64 z))
(*.f64 (expm1.f64 z) (/.f64 y t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (expm1.f64 z) (/.f64 t y))
(*.f64 (/.f64 y t) (expm1.f64 z))
(*.f64 (expm1.f64 z) (/.f64 y t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (expm1.f64 z) (/.f64 t y))
(*.f64 (/.f64 y t) (expm1.f64 z))
(*.f64 (expm1.f64 z) (/.f64 y t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (expm1.f64 z) (/.f64 t y))
(*.f64 (/.f64 y t) (expm1.f64 z))
(*.f64 (expm1.f64 z) (/.f64 y t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (expm1.f64 z) (/.f64 t y))
(*.f64 (/.f64 y t) (expm1.f64 z))
(*.f64 (expm1.f64 z) (/.f64 y t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (expm1.f64 z) (/.f64 t y))
(*.f64 (/.f64 y t) (expm1.f64 z))
(*.f64 (expm1.f64 z) (/.f64 y t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (expm1.f64 z) (/.f64 t y))
(*.f64 (/.f64 y t) (expm1.f64 z))
(*.f64 (expm1.f64 z) (/.f64 y t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (expm1.f64 z) (/.f64 t y))
(*.f64 (/.f64 y t) (expm1.f64 z))
(*.f64 (expm1.f64 z) (/.f64 y t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (expm1.f64 z) (/.f64 t y))
(*.f64 (/.f64 y t) (expm1.f64 z))
(*.f64 (expm1.f64 z) (/.f64 y t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (expm1.f64 z) (/.f64 t y))
(*.f64 (/.f64 y t) (expm1.f64 z))
(*.f64 (expm1.f64 z) (/.f64 y t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (expm1.f64 z) (/.f64 t y))
(*.f64 (/.f64 y t) (expm1.f64 z))
(*.f64 (expm1.f64 z) (/.f64 y t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (expm1.f64 z) (/.f64 t y))
(*.f64 (/.f64 y t) (expm1.f64 z))
(*.f64 (expm1.f64 z) (/.f64 y t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (expm1.f64 z) (/.f64 t y))
(*.f64 (/.f64 y t) (expm1.f64 z))
(*.f64 (expm1.f64 z) (/.f64 y t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (expm1.f64 z) (/.f64 t y))
(*.f64 (/.f64 y t) (expm1.f64 z))
(*.f64 (expm1.f64 z) (/.f64 y t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (expm1.f64 z) (/.f64 t y))
(*.f64 (/.f64 y t) (expm1.f64 z))
(*.f64 (expm1.f64 z) (/.f64 y t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (expm1.f64 z) (/.f64 t y))
(*.f64 (/.f64 y t) (expm1.f64 z))
(*.f64 (expm1.f64 z) (/.f64 y t))
(/.f64 (*.f64 y z) t)
(/.f64 y (/.f64 t z))
(*.f64 (/.f64 y t) z)
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(+.f64 (/.f64 (*.f64 y z) t) (*.f64 1/2 (/.f64 (*.f64 y (pow.f64 z 2)) t)))
(+.f64 (/.f64 y (/.f64 t z)) (*.f64 1/2 (/.f64 (*.f64 y (*.f64 z z)) t)))
(fma.f64 1/2 (*.f64 (/.f64 y t) (*.f64 z z)) (*.f64 (/.f64 y t) z))
(fma.f64 1/2 (*.f64 (*.f64 z (/.f64 y t)) z) (*.f64 z (/.f64 y t)))
(*.f64 (/.f64 y t) (-.f64 z (*.f64 z (*.f64 z -1/2))))
(+.f64 (*.f64 1/6 (/.f64 (*.f64 y (pow.f64 z 3)) t)) (+.f64 (/.f64 (*.f64 y z) t) (*.f64 1/2 (/.f64 (*.f64 y (pow.f64 z 2)) t))))
(fma.f64 1/6 (/.f64 y (/.f64 t (pow.f64 z 3))) (+.f64 (/.f64 y (/.f64 t z)) (*.f64 1/2 (/.f64 (*.f64 y (*.f64 z z)) t))))
(fma.f64 1/6 (*.f64 (/.f64 y t) (pow.f64 z 3)) (fma.f64 1/2 (*.f64 (/.f64 y t) (*.f64 z z)) (*.f64 (/.f64 y t) z)))
(fma.f64 1/2 (*.f64 (*.f64 z (/.f64 y t)) z) (fma.f64 1/6 (*.f64 (pow.f64 z 3) (/.f64 y t)) (*.f64 z (/.f64 y t))))
(fma.f64 1/2 (*.f64 y (/.f64 z (/.f64 t z))) (*.f64 (/.f64 y t) (-.f64 z (*.f64 (pow.f64 z 3) -1/6))))
(*.f64 (/.f64 y t) (-.f64 z (*.f64 (*.f64 z z) (+.f64 -1/2 (*.f64 z -1/6)))))
(+.f64 (*.f64 1/24 (/.f64 (*.f64 y (pow.f64 z 4)) t)) (+.f64 (*.f64 1/6 (/.f64 (*.f64 y (pow.f64 z 3)) t)) (+.f64 (/.f64 (*.f64 y z) t) (*.f64 1/2 (/.f64 (*.f64 y (pow.f64 z 2)) t)))))
(fma.f64 1/24 (/.f64 y (/.f64 t (pow.f64 z 4))) (fma.f64 1/6 (/.f64 y (/.f64 t (pow.f64 z 3))) (+.f64 (/.f64 y (/.f64 t z)) (*.f64 1/2 (/.f64 (*.f64 y (*.f64 z z)) t)))))
(fma.f64 1/24 (*.f64 (/.f64 y t) (pow.f64 z 4)) (fma.f64 1/6 (*.f64 (/.f64 y t) (pow.f64 z 3)) (fma.f64 1/2 (*.f64 (/.f64 y t) (*.f64 z z)) (*.f64 (/.f64 y t) z))))
(fma.f64 1/24 (*.f64 (pow.f64 z 4) (/.f64 y t)) (fma.f64 1/2 (*.f64 (*.f64 z (/.f64 y t)) z) (fma.f64 1/6 (*.f64 (pow.f64 z 3) (/.f64 y t)) (*.f64 z (/.f64 y t)))))
(+.f64 (*.f64 (/.f64 y t) (-.f64 z (*.f64 z (*.f64 z -1/2)))) (*.f64 (/.f64 y t) (+.f64 (*.f64 1/6 (pow.f64 z 3)) (*.f64 1/24 (pow.f64 z 4)))))
(*.f64 (/.f64 y t) (+.f64 (-.f64 z (*.f64 z (*.f64 z -1/2))) (*.f64 (pow.f64 z 3) (+.f64 (*.f64 z 1/24) 1/6))))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (expm1.f64 z) (/.f64 t y))
(*.f64 (/.f64 y t) (expm1.f64 z))
(*.f64 (expm1.f64 z) (/.f64 y t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (expm1.f64 z) (/.f64 t y))
(*.f64 (/.f64 y t) (expm1.f64 z))
(*.f64 (expm1.f64 z) (/.f64 y t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (expm1.f64 z) (/.f64 t y))
(*.f64 (/.f64 y t) (expm1.f64 z))
(*.f64 (expm1.f64 z) (/.f64 y t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (expm1.f64 z) (/.f64 t y))
(*.f64 (/.f64 y t) (expm1.f64 z))
(*.f64 (expm1.f64 z) (/.f64 y t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (expm1.f64 z) (/.f64 t y))
(*.f64 (/.f64 y t) (expm1.f64 z))
(*.f64 (expm1.f64 z) (/.f64 y t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (expm1.f64 z) (/.f64 t y))
(*.f64 (/.f64 y t) (expm1.f64 z))
(*.f64 (expm1.f64 z) (/.f64 y t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (expm1.f64 z) (/.f64 t y))
(*.f64 (/.f64 y t) (expm1.f64 z))
(*.f64 (expm1.f64 z) (/.f64 y t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (expm1.f64 z) (/.f64 t y))
(*.f64 (/.f64 y t) (expm1.f64 z))
(*.f64 (expm1.f64 z) (/.f64 y t))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(neg.f64 (/.f64 (expm1.f64 z) (/.f64 t y)))
(/.f64 (neg.f64 (expm1.f64 z)) (/.f64 t y))
(*.f64 (/.f64 (expm1.f64 z) t) (neg.f64 y))
(/.f64 (neg.f64 y) (/.f64 t (expm1.f64 z)))
(*.f64 (expm1.f64 z) (/.f64 (neg.f64 y) t))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)) x)
(-.f64 x (/.f64 (expm1.f64 z) (/.f64 t y)))
(-.f64 x (*.f64 (/.f64 y t) (expm1.f64 z)))
(-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)) x)
(-.f64 x (/.f64 (expm1.f64 z) (/.f64 t y)))
(-.f64 x (*.f64 (/.f64 y t) (expm1.f64 z)))
(-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)) x)
(-.f64 x (/.f64 (expm1.f64 z) (/.f64 t y)))
(-.f64 x (*.f64 (/.f64 y t) (expm1.f64 z)))
(-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t)))
x
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)) x)
(-.f64 x (/.f64 (expm1.f64 z) (/.f64 t y)))
(-.f64 x (*.f64 (/.f64 y t) (expm1.f64 z)))
(-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)) x)
(-.f64 x (/.f64 (expm1.f64 z) (/.f64 t y)))
(-.f64 x (*.f64 (/.f64 y t) (expm1.f64 z)))
(-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)) x)
(-.f64 x (/.f64 (expm1.f64 z) (/.f64 t y)))
(-.f64 x (*.f64 (/.f64 y t) (expm1.f64 z)))
(-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t)))
x
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)) x)
(-.f64 x (/.f64 (expm1.f64 z) (/.f64 t y)))
(-.f64 x (*.f64 (/.f64 y t) (expm1.f64 z)))
(-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)) x)
(-.f64 x (/.f64 (expm1.f64 z) (/.f64 t y)))
(-.f64 x (*.f64 (/.f64 y t) (expm1.f64 z)))
(-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)) x)
(-.f64 x (/.f64 (expm1.f64 z) (/.f64 t y)))
(-.f64 x (*.f64 (/.f64 y t) (expm1.f64 z)))
(-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t)))
x
(+.f64 (*.f64 y (-.f64 (/.f64 1 t) (/.f64 (exp.f64 z) t))) x)
(-.f64 x (/.f64 (expm1.f64 z) (/.f64 t y)))
(-.f64 x (*.f64 (/.f64 y t) (expm1.f64 z)))
(-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t)))
(+.f64 (*.f64 y (-.f64 (/.f64 1 t) (/.f64 (exp.f64 z) t))) x)
(-.f64 x (/.f64 (expm1.f64 z) (/.f64 t y)))
(-.f64 x (*.f64 (/.f64 y t) (expm1.f64 z)))
(-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t)))
(+.f64 (*.f64 y (-.f64 (/.f64 1 t) (/.f64 (exp.f64 z) t))) x)
(-.f64 x (/.f64 (expm1.f64 z) (/.f64 t y)))
(-.f64 x (*.f64 (/.f64 y t) (expm1.f64 z)))
(-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t)))
(*.f64 y (-.f64 (/.f64 1 t) (/.f64 (exp.f64 z) t)))
(neg.f64 (/.f64 (expm1.f64 z) (/.f64 t y)))
(/.f64 (neg.f64 (expm1.f64 z)) (/.f64 t y))
(*.f64 (/.f64 (expm1.f64 z) t) (neg.f64 y))
(/.f64 (neg.f64 y) (/.f64 t (expm1.f64 z)))
(*.f64 (expm1.f64 z) (/.f64 (neg.f64 y) t))
(+.f64 (*.f64 y (-.f64 (/.f64 1 t) (/.f64 (exp.f64 z) t))) x)
(-.f64 x (/.f64 (expm1.f64 z) (/.f64 t y)))
(-.f64 x (*.f64 (/.f64 y t) (expm1.f64 z)))
(-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t)))
(+.f64 (*.f64 y (-.f64 (/.f64 1 t) (/.f64 (exp.f64 z) t))) x)
(-.f64 x (/.f64 (expm1.f64 z) (/.f64 t y)))
(-.f64 x (*.f64 (/.f64 y t) (expm1.f64 z)))
(-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t)))
(+.f64 (*.f64 y (-.f64 (/.f64 1 t) (/.f64 (exp.f64 z) t))) x)
(-.f64 x (/.f64 (expm1.f64 z) (/.f64 t y)))
(-.f64 x (*.f64 (/.f64 y t) (expm1.f64 z)))
(-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t)))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(neg.f64 (/.f64 (expm1.f64 z) (/.f64 t y)))
(/.f64 (neg.f64 (expm1.f64 z)) (/.f64 t y))
(*.f64 (/.f64 (expm1.f64 z) t) (neg.f64 y))
(/.f64 (neg.f64 y) (/.f64 t (expm1.f64 z)))
(*.f64 (expm1.f64 z) (/.f64 (neg.f64 y) t))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)) x)
(-.f64 x (/.f64 (expm1.f64 z) (/.f64 t y)))
(-.f64 x (*.f64 (/.f64 y t) (expm1.f64 z)))
(-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)) x)
(-.f64 x (/.f64 (expm1.f64 z) (/.f64 t y)))
(-.f64 x (*.f64 (/.f64 y t) (expm1.f64 z)))
(-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)) x)
(-.f64 x (/.f64 (expm1.f64 z) (/.f64 t y)))
(-.f64 x (*.f64 (/.f64 y t) (expm1.f64 z)))
(-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t)))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(neg.f64 (/.f64 (expm1.f64 z) (/.f64 t y)))
(/.f64 (neg.f64 (expm1.f64 z)) (/.f64 t y))
(*.f64 (/.f64 (expm1.f64 z) t) (neg.f64 y))
(/.f64 (neg.f64 y) (/.f64 t (expm1.f64 z)))
(*.f64 (expm1.f64 z) (/.f64 (neg.f64 y) t))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)) x)
(-.f64 x (/.f64 (expm1.f64 z) (/.f64 t y)))
(-.f64 x (*.f64 (/.f64 y t) (expm1.f64 z)))
(-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)) x)
(-.f64 x (/.f64 (expm1.f64 z) (/.f64 t y)))
(-.f64 x (*.f64 (/.f64 y t) (expm1.f64 z)))
(-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)) x)
(-.f64 x (/.f64 (expm1.f64 z) (/.f64 t y)))
(-.f64 x (*.f64 (/.f64 y t) (expm1.f64 z)))
(-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t)))
x
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)) x)
(-.f64 x (/.f64 (expm1.f64 z) (/.f64 t y)))
(-.f64 x (*.f64 (/.f64 y t) (expm1.f64 z)))
(-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)) x)
(-.f64 x (/.f64 (expm1.f64 z) (/.f64 t y)))
(-.f64 x (*.f64 (/.f64 y t) (expm1.f64 z)))
(-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)) x)
(-.f64 x (/.f64 (expm1.f64 z) (/.f64 t y)))
(-.f64 x (*.f64 (/.f64 y t) (expm1.f64 z)))
(-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t)))
x
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)) x)
(-.f64 x (/.f64 (expm1.f64 z) (/.f64 t y)))
(-.f64 x (*.f64 (/.f64 y t) (expm1.f64 z)))
(-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)) x)
(-.f64 x (/.f64 (expm1.f64 z) (/.f64 t y)))
(-.f64 x (*.f64 (/.f64 y t) (expm1.f64 z)))
(-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)) x)
(-.f64 x (/.f64 (expm1.f64 z) (/.f64 t y)))
(-.f64 x (*.f64 (/.f64 y t) (expm1.f64 z)))
(-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t)))
x
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(fma.f64 -1 (/.f64 y (/.f64 t z)) x)
(-.f64 x (*.f64 (/.f64 y t) z))
(-.f64 x (*.f64 z (/.f64 y t)))
(-.f64 x (*.f64 y (/.f64 z t)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 y (pow.f64 z 2)) t)) x))
(fma.f64 -1 (/.f64 y (/.f64 t z)) (fma.f64 -1/2 (/.f64 (*.f64 y (*.f64 z z)) t) x))
(-.f64 (fma.f64 (*.f64 (/.f64 y t) (*.f64 z z)) -1/2 x) (*.f64 (/.f64 y t) z))
(fma.f64 (*.f64 (*.f64 z (/.f64 y t)) z) -1/2 (-.f64 x (*.f64 z (/.f64 y t))))
(+.f64 x (*.f64 (/.f64 y t) (-.f64 (*.f64 z (*.f64 z -1/2)) z)))
(-.f64 x (*.f64 (/.f64 y t) (-.f64 z (*.f64 z (*.f64 z -1/2)))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 y (pow.f64 z 2)) t)) (+.f64 (*.f64 -1/6 (/.f64 (*.f64 y (pow.f64 z 3)) t)) x)))
(fma.f64 -1 (/.f64 y (/.f64 t z)) (fma.f64 -1/2 (/.f64 (*.f64 y (*.f64 z z)) t) (fma.f64 -1/6 (/.f64 y (/.f64 t (pow.f64 z 3))) x)))
(-.f64 (fma.f64 (*.f64 (/.f64 y t) (*.f64 z z)) -1/2 (fma.f64 (*.f64 (/.f64 y t) (pow.f64 z 3)) -1/6 x)) (*.f64 (/.f64 y t) z))
(-.f64 (fma.f64 (*.f64 (*.f64 z (/.f64 y t)) z) -1/2 (fma.f64 (*.f64 (pow.f64 z 3) (/.f64 y t)) -1/6 x)) (*.f64 z (/.f64 y t)))
(+.f64 x (fma.f64 (*.f64 y (/.f64 z (/.f64 t z))) -1/2 (*.f64 (/.f64 y t) (-.f64 (*.f64 (pow.f64 z 3) -1/6) z))))
(+.f64 x (*.f64 (/.f64 y t) (-.f64 (*.f64 (*.f64 z z) (+.f64 -1/2 (*.f64 z -1/6))) z)))
(-.f64 x (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(-.f64 x (/.f64 (expm1.f64 z) (/.f64 t y)))
(-.f64 x (*.f64 (/.f64 y t) (expm1.f64 z)))
(-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t)))
(-.f64 x (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(-.f64 x (/.f64 (expm1.f64 z) (/.f64 t y)))
(-.f64 x (*.f64 (/.f64 y t) (expm1.f64 z)))
(-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t)))
(-.f64 x (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(-.f64 x (/.f64 (expm1.f64 z) (/.f64 t y)))
(-.f64 x (*.f64 (/.f64 y t) (expm1.f64 z)))
(-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t)))
(-.f64 x (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(-.f64 x (/.f64 (expm1.f64 z) (/.f64 t y)))
(-.f64 x (*.f64 (/.f64 y t) (expm1.f64 z)))
(-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t)))
(-.f64 x (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(-.f64 x (/.f64 (expm1.f64 z) (/.f64 t y)))
(-.f64 x (*.f64 (/.f64 y t) (expm1.f64 z)))
(-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t)))
(-.f64 x (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(-.f64 x (/.f64 (expm1.f64 z) (/.f64 t y)))
(-.f64 x (*.f64 (/.f64 y t) (expm1.f64 z)))
(-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t)))
(-.f64 x (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(-.f64 x (/.f64 (expm1.f64 z) (/.f64 t y)))
(-.f64 x (*.f64 (/.f64 y t) (expm1.f64 z)))
(-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t)))
(-.f64 x (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(-.f64 x (/.f64 (expm1.f64 z) (/.f64 t y)))
(-.f64 x (*.f64 (/.f64 y t) (expm1.f64 z)))
(-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t)))

localize11.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.2b
(log1p.f64 (*.f64 (expm1.f64 z) y))
✓3.7b
(/.f64 (neg.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) t)
Compiler

Compiled 32 to 9 computations (71.9% saved)

series7.0ms (0%)

Counts
2 → 60
Calls

15 calls:

TimeVariablePointExpression
1.0ms
z
@0
(/.f64 (neg.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) t)
1.0ms
y
@0
(/.f64 (neg.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) t)
1.0ms
y
@inf
(/.f64 (neg.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) t)
1.0ms
y
@-inf
(/.f64 (neg.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) t)
1.0ms
z
@inf
(/.f64 (neg.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) t)

rewrite204.0ms (1%)

Algorithm
1×batch-egg-rewrite
Rules
814×pow1_binary64
747×add-log-exp_binary64
746×expm1-log1p-u_binary64
745×log1p-expm1-u_binary64
729×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0921
118419
2244719
Stop Event
1×node limit
Counts
2 → 64
Calls
Call 1
Inputs
(/.f64 (neg.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) t)
(log1p.f64 (*.f64 (expm1.f64 z) y))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 0 t) (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (/.f64 1 t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (/.f64 1 (neg.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) 2) (cbrt.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) 2) (*.f64 (cbrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) (/.f64 1 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) (sqrt.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) (*.f64 (sqrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) (/.f64 1 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 t) (log1p.f64 (*.f64 (expm1.f64 z) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) 2) 1) (/.f64 (cbrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) 1) (/.f64 (sqrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 t) 2)) (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (cbrt.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) 2) (pow.f64 (cbrt.f64 t) 2)) (cbrt.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) (pow.f64 (cbrt.f64 t) 2)) (/.f64 (sqrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) (cbrt.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (pow.f64 (cbrt.f64 t) 2)) (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (cbrt.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 t)) (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (sqrt.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) 2) (sqrt.f64 t)) (/.f64 (cbrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) (sqrt.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (sqrt.f64 t)) (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (sqrt.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 t (log1p.f64 (*.f64 (expm1.f64 z) y))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) 3) (pow.f64 t 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log1p.f64 (*.f64 (expm1.f64 z) y)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (log1p.f64 (*.f64 (expm1.f64 z) y)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (log1p.f64 (*.f64 (expm1.f64 z) y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log1p.f64 (*.f64 (expm1.f64 z) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) 2) (cbrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) 2) (neg.f64 (cbrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) (sqrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) (neg.f64 (sqrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (log1p.f64 (*.f64 (expm1.f64 z) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sqrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)))) (sqrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) 2)) (cbrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -1 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) 2)) (cbrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -1 (sqrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)))) (sqrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 0 (pow.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) 3)) (+.f64 0 (+.f64 (pow.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) 2) (*.f64 0 (log1p.f64 (*.f64 (expm1.f64 z) y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 0 (pow.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) 2)) (log1p.f64 (*.f64 (expm1.f64 z) y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 (*.f64 (expm1.f64 z) y) 1))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))))))))

simplify57.0ms (0.3%)

Algorithm
1×egg-herbie
Rules
685×associate-*r*_binary64
683×associate-*l*_binary64
645×fma-def_binary64
392×distribute-rgt-in_binary64
389×distribute-lft-in_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01561601
14851534
217101525
Stop Event
1×node limit
Counts
124 → 131
Calls
Call 1
Inputs
(*.f64 -1 (/.f64 (*.f64 y z) t))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 z 2) (+.f64 (*.f64 -1 (pow.f64 y 2)) y)) t)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) (+.f64 (*.f64 -1/6 (/.f64 (*.f64 (pow.f64 z 3) (+.f64 (*.f64 -3 (pow.f64 y 2)) (+.f64 y (*.f64 2 (pow.f64 y 3))))) t)) (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 z 2) (+.f64 (*.f64 -1 (pow.f64 y 2)) y)) t))))
(+.f64 (*.f64 -1/24 (/.f64 (*.f64 (pow.f64 z 4) (+.f64 (*.f64 -3 (pow.f64 y 2)) (+.f64 y (+.f64 (*.f64 12 (pow.f64 y 3)) (+.f64 (*.f64 -4 (pow.f64 y 2)) (*.f64 -6 (pow.f64 y 4))))))) t)) (+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) (+.f64 (*.f64 -1/6 (/.f64 (*.f64 (pow.f64 z 3) (+.f64 (*.f64 -3 (pow.f64 y 2)) (+.f64 y (*.f64 2 (pow.f64 y 3))))) t)) (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 z 2) (+.f64 (*.f64 -1 (pow.f64 y 2)) y)) t)))))
(*.f64 -1 (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t))
(*.f64 -1 (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t))
(*.f64 -1 (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t))
(*.f64 -1 (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t))
(*.f64 -1 (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t))
(*.f64 -1 (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t))
(*.f64 -1 (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t))
(*.f64 -1 (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (pow.f64 y 2)) t)) (*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)))
(+.f64 (*.f64 -1/3 (/.f64 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 3) (pow.f64 y 3)) t)) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (pow.f64 y 2)) t)) (*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))))
(+.f64 (*.f64 -1/3 (/.f64 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 3) (pow.f64 y 3)) t)) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (pow.f64 y 2)) t)) (+.f64 (*.f64 1/4 (/.f64 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 4) (pow.f64 y 4)) t)) (*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)))))
(*.f64 -1 (/.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) t))
(-.f64 (*.f64 -1 (/.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) t)) (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) (*.f64 y t))))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (*.f64 (pow.f64 y 2) t)))) (*.f64 -1 (/.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) t))) (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) (*.f64 y t))))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (*.f64 (pow.f64 y 2) t)))) (*.f64 -1 (/.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) t))) (+.f64 (*.f64 1/3 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 3) (*.f64 (pow.f64 y 3) t)))) (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) (*.f64 y t)))))
(*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1)))) t))
(-.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1)))) t)) (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) (*.f64 y t))))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (*.f64 (pow.f64 y 2) t)))) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1)))) t))) (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) (*.f64 y t))))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (*.f64 (pow.f64 y 2) t)))) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1)))) t))) (+.f64 (*.f64 1/3 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 3) (*.f64 (pow.f64 y 3) t)))) (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) (*.f64 y t)))))
(*.f64 -1 (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t))
(*.f64 -1 (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t))
(*.f64 -1 (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t))
(*.f64 -1 (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t))
(*.f64 -1 (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t))
(*.f64 -1 (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t))
(*.f64 -1 (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t))
(*.f64 -1 (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t))
(*.f64 -1 (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t))
(*.f64 -1 (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t))
(*.f64 -1 (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t))
(*.f64 -1 (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t))
(*.f64 y z)
(+.f64 (*.f64 y z) (*.f64 1/2 (*.f64 (pow.f64 z 2) (+.f64 (*.f64 -1 (pow.f64 y 2)) y))))
(+.f64 (*.f64 y z) (+.f64 (*.f64 1/6 (*.f64 (+.f64 (*.f64 -3 (pow.f64 y 2)) (+.f64 y (*.f64 2 (pow.f64 y 3)))) (pow.f64 z 3))) (*.f64 1/2 (*.f64 (pow.f64 z 2) (+.f64 (*.f64 -1 (pow.f64 y 2)) y)))))
(+.f64 (*.f64 y z) (+.f64 (*.f64 1/6 (*.f64 (+.f64 (*.f64 -3 (pow.f64 y 2)) (+.f64 y (*.f64 2 (pow.f64 y 3)))) (pow.f64 z 3))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 z 2) (+.f64 (*.f64 -1 (pow.f64 y 2)) y))) (*.f64 1/24 (*.f64 (+.f64 (*.f64 -3 (pow.f64 y 2)) (+.f64 y (+.f64 (*.f64 12 (pow.f64 y 3)) (+.f64 (*.f64 -4 (pow.f64 y 2)) (*.f64 -6 (pow.f64 y 4)))))) (pow.f64 z 4))))))
(log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y)))
(log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y)))
(log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y)))
(log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y)))
(log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y)))
(log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y)))
(log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y)))
(log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y)))
(*.f64 (-.f64 (exp.f64 z) 1) y)
(+.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) (*.f64 -1/2 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (pow.f64 y 2))))
(+.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (pow.f64 y 2))) (*.f64 1/3 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 3) (pow.f64 y 3)))))
(+.f64 (*.f64 -1/4 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 4) (pow.f64 y 4))) (+.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (pow.f64 y 2))) (*.f64 1/3 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 3) (pow.f64 y 3))))))
(+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y))))
(+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (+.f64 (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y)) (*.f64 -1 (log.f64 (/.f64 1 y)))))
(-.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (+.f64 (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y)) (*.f64 -1 (log.f64 (/.f64 1 y))))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (pow.f64 y 2)))))
(-.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (+.f64 (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y)) (+.f64 (*.f64 1/3 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 3) (pow.f64 y 3)))) (*.f64 -1 (log.f64 (/.f64 1 y)))))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (pow.f64 y 2)))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (+.f64 (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y)) (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1)))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (+.f64 (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y)) (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1))))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (pow.f64 y 2)))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (+.f64 (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y)) (+.f64 (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1))) (*.f64 1/3 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 3) (pow.f64 y 3))))))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (pow.f64 y 2)))))
Outputs
(*.f64 -1 (/.f64 (*.f64 y z) t))
(neg.f64 (/.f64 y (/.f64 t z)))
(/.f64 (neg.f64 (*.f64 y z)) t)
(*.f64 (/.f64 y t) (neg.f64 z))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 z 2) (+.f64 (*.f64 -1 (pow.f64 y 2)) y)) t)))
(fma.f64 -1 (/.f64 y (/.f64 t z)) (*.f64 -1/2 (/.f64 (*.f64 z z) (/.f64 t (fma.f64 -1 (*.f64 y y) y)))))
(-.f64 (*.f64 -1/2 (*.f64 (/.f64 (*.f64 z z) t) (-.f64 y (*.f64 y y)))) (*.f64 (/.f64 y t) z))
(-.f64 (*.f64 (/.f64 -1/2 t) (*.f64 z (*.f64 z (fma.f64 y (neg.f64 y) y)))) (*.f64 (/.f64 y t) z))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) (+.f64 (*.f64 -1/6 (/.f64 (*.f64 (pow.f64 z 3) (+.f64 (*.f64 -3 (pow.f64 y 2)) (+.f64 y (*.f64 2 (pow.f64 y 3))))) t)) (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 z 2) (+.f64 (*.f64 -1 (pow.f64 y 2)) y)) t))))
(fma.f64 -1 (/.f64 y (/.f64 t z)) (fma.f64 -1/6 (/.f64 (pow.f64 z 3) (/.f64 t (fma.f64 -3 (*.f64 y y) (+.f64 y (*.f64 2 (pow.f64 y 3)))))) (*.f64 -1/2 (/.f64 (*.f64 z z) (/.f64 t (fma.f64 -1 (*.f64 y y) y))))))
(-.f64 (fma.f64 -1/6 (*.f64 (/.f64 (pow.f64 z 3) t) (fma.f64 (*.f64 y y) -3 (fma.f64 2 (pow.f64 y 3) y))) (*.f64 -1/2 (*.f64 (/.f64 (*.f64 z z) t) (-.f64 y (*.f64 y y))))) (*.f64 (/.f64 y t) z))
(-.f64 (fma.f64 -1/6 (*.f64 (/.f64 (pow.f64 z 3) t) (fma.f64 y (*.f64 y -3) (fma.f64 2 (pow.f64 y 3) y))) (*.f64 (/.f64 -1/2 t) (*.f64 z (*.f64 z (fma.f64 y (neg.f64 y) y))))) (*.f64 (/.f64 y t) z))
(+.f64 (*.f64 -1/24 (/.f64 (*.f64 (pow.f64 z 4) (+.f64 (*.f64 -3 (pow.f64 y 2)) (+.f64 y (+.f64 (*.f64 12 (pow.f64 y 3)) (+.f64 (*.f64 -4 (pow.f64 y 2)) (*.f64 -6 (pow.f64 y 4))))))) t)) (+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) (+.f64 (*.f64 -1/6 (/.f64 (*.f64 (pow.f64 z 3) (+.f64 (*.f64 -3 (pow.f64 y 2)) (+.f64 y (*.f64 2 (pow.f64 y 3))))) t)) (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 z 2) (+.f64 (*.f64 -1 (pow.f64 y 2)) y)) t)))))
(fma.f64 -1/24 (/.f64 (pow.f64 z 4) (/.f64 t (fma.f64 -3 (*.f64 y y) (+.f64 y (fma.f64 12 (pow.f64 y 3) (fma.f64 -4 (*.f64 y y) (*.f64 -6 (pow.f64 y 4)))))))) (fma.f64 -1 (/.f64 y (/.f64 t z)) (fma.f64 -1/6 (/.f64 (pow.f64 z 3) (/.f64 t (fma.f64 -3 (*.f64 y y) (+.f64 y (*.f64 2 (pow.f64 y 3)))))) (*.f64 -1/2 (/.f64 (*.f64 z z) (/.f64 t (fma.f64 -1 (*.f64 y y) y)))))))
(fma.f64 -1/24 (*.f64 (/.f64 (pow.f64 z 4) t) (+.f64 (fma.f64 (pow.f64 y 3) 12 (fma.f64 (*.f64 y y) -4 (*.f64 -6 (pow.f64 y 4)))) (fma.f64 (*.f64 y y) -3 y))) (-.f64 (fma.f64 -1/6 (*.f64 (/.f64 (pow.f64 z 3) t) (fma.f64 (*.f64 y y) -3 (fma.f64 2 (pow.f64 y 3) y))) (*.f64 -1/2 (*.f64 (/.f64 (*.f64 z z) t) (-.f64 y (*.f64 y y))))) (*.f64 (/.f64 y t) z)))
(-.f64 (fma.f64 -1/24 (*.f64 (/.f64 (pow.f64 z 4) t) (+.f64 (fma.f64 -6 (pow.f64 y 4) (*.f64 (*.f64 y y) (+.f64 (*.f64 12 y) -4))) (fma.f64 y (*.f64 y -3) y))) (fma.f64 -1/6 (*.f64 (/.f64 (pow.f64 z 3) t) (fma.f64 y (*.f64 y -3) (fma.f64 2 (pow.f64 y 3) y))) (*.f64 (/.f64 -1/2 t) (*.f64 z (*.f64 z (fma.f64 y (neg.f64 y) y)))))) (*.f64 (/.f64 y t) z))
(*.f64 -1 (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t))
(neg.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))
(/.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) t)
(*.f64 -1 (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t))
(neg.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))
(/.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) t)
(*.f64 -1 (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t))
(neg.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))
(/.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) t)
(*.f64 -1 (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t))
(neg.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))
(/.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) t)
(*.f64 -1 (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t))
(neg.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))
(/.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) t)
(*.f64 -1 (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t))
(neg.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))
(/.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) t)
(*.f64 -1 (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t))
(neg.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))
(/.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) t)
(*.f64 -1 (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t))
(neg.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))
(/.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) t)
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(neg.f64 (/.f64 (expm1.f64 z) (/.f64 t y)))
(/.f64 (neg.f64 (expm1.f64 z)) (/.f64 t y))
(*.f64 (/.f64 (expm1.f64 z) t) (neg.f64 y))
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (pow.f64 y 2)) t)) (*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)))
(fma.f64 1/2 (/.f64 (pow.f64 (expm1.f64 z) 2) (/.f64 t (*.f64 y y))) (neg.f64 (/.f64 (expm1.f64 z) (/.f64 t y))))
(fma.f64 1/2 (/.f64 (*.f64 y y) (/.f64 t (pow.f64 (expm1.f64 z) 2))) (/.f64 (neg.f64 (expm1.f64 z)) (/.f64 t y)))
(fma.f64 1/2 (*.f64 (/.f64 (*.f64 y y) t) (pow.f64 (expm1.f64 z) 2)) (*.f64 (/.f64 (expm1.f64 z) t) (neg.f64 y)))
(+.f64 (*.f64 -1/3 (/.f64 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 3) (pow.f64 y 3)) t)) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (pow.f64 y 2)) t)) (*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))))
(fma.f64 -1/3 (/.f64 (pow.f64 (expm1.f64 z) 3) (/.f64 t (pow.f64 y 3))) (fma.f64 1/2 (/.f64 (pow.f64 (expm1.f64 z) 2) (/.f64 t (*.f64 y y))) (neg.f64 (/.f64 (expm1.f64 z) (/.f64 t y)))))
(-.f64 (fma.f64 -1/3 (/.f64 (pow.f64 (expm1.f64 z) 3) (/.f64 t (pow.f64 y 3))) (*.f64 1/2 (/.f64 (*.f64 y y) (/.f64 t (pow.f64 (expm1.f64 z) 2))))) (*.f64 (/.f64 (expm1.f64 z) t) y))
(-.f64 (fma.f64 1/2 (*.f64 (/.f64 (*.f64 y y) t) (pow.f64 (expm1.f64 z) 2)) (*.f64 -1/3 (*.f64 (/.f64 (pow.f64 y 3) t) (pow.f64 (expm1.f64 z) 3)))) (*.f64 (/.f64 y t) (expm1.f64 z)))
(+.f64 (*.f64 -1/3 (/.f64 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 3) (pow.f64 y 3)) t)) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (pow.f64 y 2)) t)) (+.f64 (*.f64 1/4 (/.f64 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 4) (pow.f64 y 4)) t)) (*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)))))
(fma.f64 -1/3 (/.f64 (pow.f64 (expm1.f64 z) 3) (/.f64 t (pow.f64 y 3))) (fma.f64 1/2 (/.f64 (pow.f64 (expm1.f64 z) 2) (/.f64 t (*.f64 y y))) (fma.f64 1/4 (/.f64 (pow.f64 (expm1.f64 z) 4) (/.f64 t (pow.f64 y 4))) (neg.f64 (/.f64 (expm1.f64 z) (/.f64 t y))))))
(fma.f64 -1/3 (/.f64 (pow.f64 (expm1.f64 z) 3) (/.f64 t (pow.f64 y 3))) (-.f64 (fma.f64 1/2 (/.f64 (*.f64 y y) (/.f64 t (pow.f64 (expm1.f64 z) 2))) (*.f64 1/4 (/.f64 (pow.f64 y 4) (/.f64 t (pow.f64 (expm1.f64 z) 4))))) (*.f64 (/.f64 (expm1.f64 z) t) y)))
(-.f64 (fma.f64 -1/3 (*.f64 (/.f64 (pow.f64 y 3) t) (pow.f64 (expm1.f64 z) 3)) (fma.f64 1/2 (*.f64 (/.f64 (*.f64 y y) t) (pow.f64 (expm1.f64 z) 2)) (*.f64 1/4 (*.f64 (/.f64 (pow.f64 y 4) t) (pow.f64 (expm1.f64 z) 4))))) (*.f64 (/.f64 y t) (expm1.f64 z)))
(*.f64 -1 (/.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) t))
(neg.f64 (/.f64 (+.f64 (log.f64 (expm1.f64 z)) (neg.f64 (neg.f64 (log.f64 y)))) t))
(/.f64 (neg.f64 (+.f64 (log.f64 (expm1.f64 z)) (log.f64 y))) t)
(/.f64 (-.f64 (neg.f64 (log.f64 (expm1.f64 z))) (log.f64 y)) t)
(-.f64 (*.f64 -1 (/.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) t)) (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) (*.f64 y t))))
(-.f64 (neg.f64 (/.f64 (+.f64 (log.f64 (expm1.f64 z)) (neg.f64 (neg.f64 (log.f64 y)))) t)) (/.f64 1 (*.f64 (expm1.f64 z) (*.f64 y t))))
(fma.f64 -1 (/.f64 (+.f64 (log.f64 (expm1.f64 z)) (log.f64 y)) t) (/.f64 -1 (*.f64 (expm1.f64 z) (*.f64 y t))))
(-.f64 (/.f64 (/.f64 -1 y) (*.f64 (expm1.f64 z) t)) (/.f64 (+.f64 (log.f64 (expm1.f64 z)) (log.f64 y)) t))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (*.f64 (pow.f64 y 2) t)))) (*.f64 -1 (/.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) t))) (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) (*.f64 y t))))
(+.f64 (/.f64 1/2 (*.f64 (pow.f64 (expm1.f64 z) 2) (*.f64 t (*.f64 y y)))) (-.f64 (neg.f64 (/.f64 (+.f64 (log.f64 (expm1.f64 z)) (neg.f64 (neg.f64 (log.f64 y)))) t)) (/.f64 1 (*.f64 (expm1.f64 z) (*.f64 y t)))))
(+.f64 (-.f64 (/.f64 1/2 (*.f64 (pow.f64 (expm1.f64 z) 2) (*.f64 y (*.f64 y t)))) (/.f64 (+.f64 (log.f64 (expm1.f64 z)) (log.f64 y)) t)) (/.f64 -1 (*.f64 (expm1.f64 z) (*.f64 y t))))
(-.f64 (/.f64 1/2 (*.f64 y (*.f64 (*.f64 y t) (pow.f64 (expm1.f64 z) 2)))) (+.f64 (/.f64 (+.f64 (log.f64 (expm1.f64 z)) (log.f64 y)) t) (/.f64 (/.f64 (/.f64 1 y) (expm1.f64 z)) t)))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (*.f64 (pow.f64 y 2) t)))) (*.f64 -1 (/.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) t))) (+.f64 (*.f64 1/3 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 3) (*.f64 (pow.f64 y 3) t)))) (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) (*.f64 y t)))))
(+.f64 (/.f64 1/2 (*.f64 (pow.f64 (expm1.f64 z) 2) (*.f64 t (*.f64 y y)))) (-.f64 (neg.f64 (/.f64 (+.f64 (log.f64 (expm1.f64 z)) (neg.f64 (neg.f64 (log.f64 y)))) t)) (+.f64 (/.f64 1 (*.f64 (expm1.f64 z) (*.f64 y t))) (/.f64 1/3 (*.f64 (pow.f64 (expm1.f64 z) 3) (*.f64 t (pow.f64 y 3)))))))
(+.f64 (-.f64 (-.f64 (/.f64 1/2 (*.f64 (pow.f64 (expm1.f64 z) 2) (*.f64 y (*.f64 y t)))) (/.f64 (+.f64 (log.f64 (expm1.f64 z)) (log.f64 y)) t)) (/.f64 1/3 (*.f64 t (*.f64 (pow.f64 y 3) (pow.f64 (expm1.f64 z) 3))))) (/.f64 -1 (*.f64 (expm1.f64 z) (*.f64 y t))))
(+.f64 (-.f64 (/.f64 (/.f64 -1 y) (*.f64 (expm1.f64 z) t)) (/.f64 (+.f64 (log.f64 (expm1.f64 z)) (log.f64 y)) t)) (+.f64 (/.f64 1/2 (*.f64 y (*.f64 (*.f64 y t) (pow.f64 (expm1.f64 z) 2)))) (/.f64 -1/3 (*.f64 (pow.f64 y 3) (*.f64 (pow.f64 (expm1.f64 z) 3) t)))))
(*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1)))) t))
(neg.f64 (/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 (neg.f64 (expm1.f64 z)))) t))
(/.f64 (neg.f64 (-.f64 (log.f64 (neg.f64 (expm1.f64 z))) (log.f64 (/.f64 -1 y)))) t)
(-.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1)))) t)) (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) (*.f64 y t))))
(-.f64 (neg.f64 (/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 (neg.f64 (expm1.f64 z)))) t)) (/.f64 1 (*.f64 (expm1.f64 z) (*.f64 y t))))
(fma.f64 -1 (/.f64 (-.f64 (log.f64 (neg.f64 (expm1.f64 z))) (log.f64 (/.f64 -1 y))) t) (/.f64 -1 (*.f64 (expm1.f64 z) (*.f64 y t))))
(-.f64 (/.f64 (/.f64 -1 y) (*.f64 (expm1.f64 z) t)) (/.f64 (-.f64 (log.f64 (neg.f64 (expm1.f64 z))) (log.f64 (/.f64 -1 y))) t))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (*.f64 (pow.f64 y 2) t)))) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1)))) t))) (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) (*.f64 y t))))
(+.f64 (/.f64 1/2 (*.f64 (pow.f64 (expm1.f64 z) 2) (*.f64 t (*.f64 y y)))) (-.f64 (neg.f64 (/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 (neg.f64 (expm1.f64 z)))) t)) (/.f64 1 (*.f64 (expm1.f64 z) (*.f64 y t)))))
(+.f64 (-.f64 (/.f64 1/2 (*.f64 (pow.f64 (expm1.f64 z) 2) (*.f64 y (*.f64 y t)))) (/.f64 (-.f64 (log.f64 (neg.f64 (expm1.f64 z))) (log.f64 (/.f64 -1 y))) t)) (/.f64 -1 (*.f64 (expm1.f64 z) (*.f64 y t))))
(+.f64 (/.f64 1/2 (*.f64 y (*.f64 (*.f64 y t) (pow.f64 (expm1.f64 z) 2)))) (-.f64 (/.f64 (/.f64 -1 y) (*.f64 (expm1.f64 z) t)) (/.f64 (-.f64 (log.f64 (neg.f64 (expm1.f64 z))) (log.f64 (/.f64 -1 y))) t)))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (*.f64 (pow.f64 y 2) t)))) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1)))) t))) (+.f64 (*.f64 1/3 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 3) (*.f64 (pow.f64 y 3) t)))) (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) (*.f64 y t)))))
(-.f64 (+.f64 (/.f64 1/2 (*.f64 (pow.f64 (expm1.f64 z) 2) (*.f64 t (*.f64 y y)))) (neg.f64 (/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 (neg.f64 (expm1.f64 z)))) t))) (+.f64 (/.f64 1 (*.f64 (expm1.f64 z) (*.f64 y t))) (/.f64 1/3 (*.f64 (pow.f64 (expm1.f64 z) 3) (*.f64 t (pow.f64 y 3))))))
(-.f64 (-.f64 (/.f64 1/2 (*.f64 (pow.f64 (expm1.f64 z) 2) (*.f64 y (*.f64 y t)))) (/.f64 (-.f64 (log.f64 (neg.f64 (expm1.f64 z))) (log.f64 (/.f64 -1 y))) t)) (+.f64 (/.f64 1 (*.f64 (expm1.f64 z) (*.f64 y t))) (/.f64 1/3 (*.f64 t (*.f64 (pow.f64 y 3) (pow.f64 (expm1.f64 z) 3))))))
(-.f64 (/.f64 1/2 (*.f64 y (*.f64 (*.f64 y t) (pow.f64 (expm1.f64 z) 2)))) (-.f64 (/.f64 (-.f64 (log.f64 (neg.f64 (expm1.f64 z))) (log.f64 (/.f64 -1 y))) t) (+.f64 (/.f64 (/.f64 -1 y) (*.f64 (expm1.f64 z) t)) (/.f64 -1/3 (*.f64 (pow.f64 y 3) (*.f64 (pow.f64 (expm1.f64 z) 3) t))))))
(*.f64 -1 (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t))
(neg.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))
(/.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) t)
(*.f64 -1 (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t))
(neg.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))
(/.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) t)
(*.f64 -1 (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t))
(neg.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))
(/.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) t)
(*.f64 -1 (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t))
(neg.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))
(/.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) t)
(*.f64 -1 (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t))
(neg.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))
(/.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) t)
(*.f64 -1 (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t))
(neg.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))
(/.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) t)
(*.f64 -1 (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t))
(neg.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))
(/.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) t)
(*.f64 -1 (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t))
(neg.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))
(/.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) t)
(*.f64 -1 (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t))
(neg.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))
(/.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) t)
(*.f64 -1 (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t))
(neg.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))
(/.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) t)
(*.f64 -1 (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t))
(neg.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))
(/.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) t)
(*.f64 -1 (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t))
(neg.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))
(/.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) t)
(*.f64 y z)
(+.f64 (*.f64 y z) (*.f64 1/2 (*.f64 (pow.f64 z 2) (+.f64 (*.f64 -1 (pow.f64 y 2)) y))))
(fma.f64 y z (*.f64 (*.f64 (*.f64 z z) (fma.f64 -1 (*.f64 y y) y)) 1/2))
(fma.f64 y z (*.f64 (*.f64 z z) (*.f64 (-.f64 y (*.f64 y y)) 1/2)))
(fma.f64 y z (*.f64 z (*.f64 z (*.f64 (fma.f64 y (neg.f64 y) y) 1/2))))
(+.f64 (*.f64 y z) (+.f64 (*.f64 1/6 (*.f64 (+.f64 (*.f64 -3 (pow.f64 y 2)) (+.f64 y (*.f64 2 (pow.f64 y 3)))) (pow.f64 z 3))) (*.f64 1/2 (*.f64 (pow.f64 z 2) (+.f64 (*.f64 -1 (pow.f64 y 2)) y)))))
(fma.f64 y z (fma.f64 1/6 (*.f64 (pow.f64 z 3) (fma.f64 -3 (*.f64 y y) (+.f64 y (*.f64 2 (pow.f64 y 3))))) (*.f64 (*.f64 (*.f64 z z) (fma.f64 -1 (*.f64 y y) y)) 1/2)))
(fma.f64 y z (fma.f64 (*.f64 (*.f64 z z) (-.f64 y (*.f64 y y))) 1/2 (*.f64 (pow.f64 z 3) (*.f64 (fma.f64 (*.f64 y y) -3 (fma.f64 2 (pow.f64 y 3) y)) 1/6))))
(fma.f64 y z (*.f64 (*.f64 z z) (+.f64 (*.f64 1/2 (fma.f64 y (neg.f64 y) y)) (*.f64 (fma.f64 1/6 (fma.f64 y (*.f64 y -3) y) (*.f64 1/3 (pow.f64 y 3))) z))))
(+.f64 (*.f64 y z) (+.f64 (*.f64 1/6 (*.f64 (+.f64 (*.f64 -3 (pow.f64 y 2)) (+.f64 y (*.f64 2 (pow.f64 y 3)))) (pow.f64 z 3))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 z 2) (+.f64 (*.f64 -1 (pow.f64 y 2)) y))) (*.f64 1/24 (*.f64 (+.f64 (*.f64 -3 (pow.f64 y 2)) (+.f64 y (+.f64 (*.f64 12 (pow.f64 y 3)) (+.f64 (*.f64 -4 (pow.f64 y 2)) (*.f64 -6 (pow.f64 y 4)))))) (pow.f64 z 4))))))
(fma.f64 y z (fma.f64 1/6 (*.f64 (pow.f64 z 3) (fma.f64 -3 (*.f64 y y) (+.f64 y (*.f64 2 (pow.f64 y 3))))) (fma.f64 1/2 (*.f64 (*.f64 z z) (fma.f64 -1 (*.f64 y y) y)) (*.f64 (*.f64 (pow.f64 z 4) (fma.f64 -3 (*.f64 y y) (+.f64 y (fma.f64 12 (pow.f64 y 3) (fma.f64 -4 (*.f64 y y) (*.f64 -6 (pow.f64 y 4))))))) 1/24))))
(fma.f64 y z (fma.f64 1/6 (*.f64 (pow.f64 z 3) (fma.f64 (*.f64 y y) -3 (fma.f64 2 (pow.f64 y 3) y))) (fma.f64 (*.f64 (+.f64 (fma.f64 (pow.f64 y 3) 12 (fma.f64 (*.f64 y y) -4 (*.f64 -6 (pow.f64 y 4)))) (fma.f64 (*.f64 y y) -3 y)) 1/24) (pow.f64 z 4) (*.f64 (*.f64 z z) (*.f64 (-.f64 y (*.f64 y y)) 1/2)))))
(fma.f64 y z (fma.f64 (pow.f64 z 4) (fma.f64 (+.f64 (*.f64 (*.f64 y y) (+.f64 (*.f64 12 y) -4)) (fma.f64 -6 (pow.f64 y 4) y)) 1/24 (*.f64 (*.f64 y y) -1/8)) (*.f64 (*.f64 z z) (+.f64 (*.f64 1/2 (fma.f64 y (neg.f64 y) y)) (*.f64 (fma.f64 1/6 (fma.f64 y (*.f64 y -3) y) (*.f64 1/3 (pow.f64 y 3))) z)))))
(log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y)))
(log1p.f64 (*.f64 y (expm1.f64 z)))
(log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y)))
(log1p.f64 (*.f64 y (expm1.f64 z)))
(log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y)))
(log1p.f64 (*.f64 y (expm1.f64 z)))
(log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y)))
(log1p.f64 (*.f64 y (expm1.f64 z)))
(log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y)))
(log1p.f64 (*.f64 y (expm1.f64 z)))
(log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y)))
(log1p.f64 (*.f64 y (expm1.f64 z)))
(log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y)))
(log1p.f64 (*.f64 y (expm1.f64 z)))
(log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y)))
(log1p.f64 (*.f64 y (expm1.f64 z)))
(*.f64 (-.f64 (exp.f64 z) 1) y)
(*.f64 y (expm1.f64 z))
(+.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) (*.f64 -1/2 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (pow.f64 y 2))))
(fma.f64 (expm1.f64 z) y (*.f64 -1/2 (*.f64 (*.f64 y y) (pow.f64 (expm1.f64 z) 2))))
(fma.f64 (*.f64 -1/2 (pow.f64 (expm1.f64 z) 2)) (*.f64 y y) (*.f64 y (expm1.f64 z)))
(*.f64 y (+.f64 (*.f64 (pow.f64 (expm1.f64 z) 2) (*.f64 -1/2 y)) (expm1.f64 z)))
(+.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (pow.f64 y 2))) (*.f64 1/3 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 3) (pow.f64 y 3)))))
(fma.f64 (expm1.f64 z) y (fma.f64 -1/2 (*.f64 (*.f64 y y) (pow.f64 (expm1.f64 z) 2)) (*.f64 (*.f64 (pow.f64 y 3) (pow.f64 (expm1.f64 z) 3)) 1/3)))
(fma.f64 y (expm1.f64 z) (fma.f64 -1/2 (*.f64 y (*.f64 y (pow.f64 (expm1.f64 z) 2))) (*.f64 (pow.f64 (expm1.f64 z) 3) (*.f64 (pow.f64 y 3) 1/3))))
(fma.f64 (pow.f64 y 3) (*.f64 (pow.f64 (expm1.f64 z) 3) 1/3) (*.f64 y (+.f64 (*.f64 (pow.f64 (expm1.f64 z) 2) (*.f64 -1/2 y)) (expm1.f64 z))))
(+.f64 (*.f64 -1/4 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 4) (pow.f64 y 4))) (+.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (pow.f64 y 2))) (*.f64 1/3 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 3) (pow.f64 y 3))))))
(fma.f64 -1/4 (*.f64 (pow.f64 y 4) (pow.f64 (expm1.f64 z) 4)) (fma.f64 (expm1.f64 z) y (fma.f64 -1/2 (*.f64 (*.f64 y y) (pow.f64 (expm1.f64 z) 2)) (*.f64 (*.f64 (pow.f64 y 3) (pow.f64 (expm1.f64 z) 3)) 1/3))))
(fma.f64 (*.f64 (pow.f64 y 4) (pow.f64 (expm1.f64 z) 4)) -1/4 (fma.f64 y (expm1.f64 z) (fma.f64 -1/2 (*.f64 y (*.f64 y (pow.f64 (expm1.f64 z) 2))) (*.f64 (pow.f64 (expm1.f64 z) 3) (*.f64 (pow.f64 y 3) 1/3)))))
(fma.f64 (pow.f64 y 4) (*.f64 (pow.f64 (expm1.f64 z) 4) -1/4) (fma.f64 (pow.f64 y 3) (*.f64 (pow.f64 (expm1.f64 z) 3) 1/3) (*.f64 y (+.f64 (*.f64 (pow.f64 (expm1.f64 z) 2) (*.f64 -1/2 y)) (expm1.f64 z)))))
(+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y))))
(+.f64 (log.f64 (expm1.f64 z)) (neg.f64 (neg.f64 (log.f64 y))))
(+.f64 (log.f64 (expm1.f64 z)) (log.f64 y))
(+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (+.f64 (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y)) (*.f64 -1 (log.f64 (/.f64 1 y)))))
(+.f64 (log.f64 (expm1.f64 z)) (+.f64 (neg.f64 (neg.f64 (log.f64 y))) (/.f64 1 (*.f64 y (expm1.f64 z)))))
(+.f64 (+.f64 (log.f64 (expm1.f64 z)) (log.f64 y)) (/.f64 1 (*.f64 y (expm1.f64 z))))
(+.f64 (log.f64 (expm1.f64 z)) (+.f64 (log.f64 y) (/.f64 (/.f64 1 y) (expm1.f64 z))))
(-.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (+.f64 (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y)) (*.f64 -1 (log.f64 (/.f64 1 y))))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (pow.f64 y 2)))))
(-.f64 (+.f64 (log.f64 (expm1.f64 z)) (+.f64 (neg.f64 (neg.f64 (log.f64 y))) (/.f64 1 (*.f64 y (expm1.f64 z))))) (/.f64 1/2 (*.f64 (*.f64 y y) (pow.f64 (expm1.f64 z) 2))))
(+.f64 (log.f64 (expm1.f64 z)) (-.f64 (+.f64 (log.f64 y) (/.f64 1 (*.f64 y (expm1.f64 z)))) (/.f64 (/.f64 1/2 (*.f64 y y)) (pow.f64 (expm1.f64 z) 2))))
(+.f64 (+.f64 (log.f64 (expm1.f64 z)) (/.f64 (/.f64 1 y) (expm1.f64 z))) (+.f64 (log.f64 y) (/.f64 (/.f64 -1/2 (pow.f64 (expm1.f64 z) 2)) (*.f64 y y))))
(-.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (+.f64 (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y)) (+.f64 (*.f64 1/3 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 3) (pow.f64 y 3)))) (*.f64 -1 (log.f64 (/.f64 1 y)))))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (pow.f64 y 2)))))
(-.f64 (+.f64 (log.f64 (expm1.f64 z)) (+.f64 (/.f64 1 (*.f64 y (expm1.f64 z))) (+.f64 (neg.f64 (neg.f64 (log.f64 y))) (/.f64 1/3 (*.f64 (pow.f64 y 3) (pow.f64 (expm1.f64 z) 3)))))) (/.f64 1/2 (*.f64 (*.f64 y y) (pow.f64 (expm1.f64 z) 2))))
(+.f64 (+.f64 (+.f64 (log.f64 y) (/.f64 1 (*.f64 y (expm1.f64 z)))) (/.f64 1/3 (*.f64 (pow.f64 y 3) (pow.f64 (expm1.f64 z) 3)))) (-.f64 (log.f64 (expm1.f64 z)) (/.f64 (/.f64 1/2 (*.f64 y y)) (pow.f64 (expm1.f64 z) 2))))
(+.f64 (+.f64 (+.f64 (log.f64 (expm1.f64 z)) (/.f64 (/.f64 1 y) (expm1.f64 z))) (+.f64 (log.f64 y) (/.f64 (/.f64 -1/2 (pow.f64 (expm1.f64 z) 2)) (*.f64 y y)))) (/.f64 1/3 (*.f64 (pow.f64 y 3) (pow.f64 (expm1.f64 z) 3))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1))))
(fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 (neg.f64 (expm1.f64 z))))
(-.f64 (log.f64 (neg.f64 (expm1.f64 z))) (log.f64 (/.f64 -1 y)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (+.f64 (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y)) (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1)))))
(fma.f64 -1 (log.f64 (/.f64 -1 y)) (+.f64 (log.f64 (neg.f64 (expm1.f64 z))) (/.f64 1 (*.f64 y (expm1.f64 z)))))
(+.f64 (-.f64 (log.f64 (neg.f64 (expm1.f64 z))) (log.f64 (/.f64 -1 y))) (/.f64 1 (*.f64 y (expm1.f64 z))))
(+.f64 (log.f64 (neg.f64 (expm1.f64 z))) (-.f64 (/.f64 (/.f64 1 y) (expm1.f64 z)) (log.f64 (/.f64 -1 y))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (+.f64 (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y)) (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1))))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (pow.f64 y 2)))))
(-.f64 (fma.f64 -1 (log.f64 (/.f64 -1 y)) (+.f64 (log.f64 (neg.f64 (expm1.f64 z))) (/.f64 1 (*.f64 y (expm1.f64 z))))) (/.f64 1/2 (*.f64 (*.f64 y y) (pow.f64 (expm1.f64 z) 2))))
(+.f64 (+.f64 (-.f64 (log.f64 (neg.f64 (expm1.f64 z))) (log.f64 (/.f64 -1 y))) (/.f64 1 (*.f64 y (expm1.f64 z)))) (/.f64 -1/2 (*.f64 y (*.f64 y (pow.f64 (expm1.f64 z) 2)))))
(+.f64 (log.f64 (neg.f64 (expm1.f64 z))) (-.f64 (-.f64 (/.f64 (/.f64 1 y) (expm1.f64 z)) (log.f64 (/.f64 -1 y))) (/.f64 1/2 (*.f64 y (*.f64 y (pow.f64 (expm1.f64 z) 2))))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (+.f64 (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y)) (+.f64 (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1))) (*.f64 1/3 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 3) (pow.f64 y 3))))))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (pow.f64 y 2)))))
(-.f64 (fma.f64 -1 (log.f64 (/.f64 -1 y)) (+.f64 (/.f64 1 (*.f64 y (expm1.f64 z))) (+.f64 (log.f64 (neg.f64 (expm1.f64 z))) (/.f64 1/3 (*.f64 (pow.f64 y 3) (pow.f64 (expm1.f64 z) 3)))))) (/.f64 1/2 (*.f64 (*.f64 y y) (pow.f64 (expm1.f64 z) 2))))
(+.f64 (+.f64 (+.f64 (-.f64 (log.f64 (neg.f64 (expm1.f64 z))) (log.f64 (/.f64 -1 y))) (/.f64 1 (*.f64 y (expm1.f64 z)))) (/.f64 1/3 (*.f64 (pow.f64 y 3) (pow.f64 (expm1.f64 z) 3)))) (/.f64 -1/2 (*.f64 y (*.f64 y (pow.f64 (expm1.f64 z) 2)))))
(+.f64 (/.f64 (/.f64 1 y) (expm1.f64 z)) (+.f64 (+.f64 (/.f64 1/3 (*.f64 (pow.f64 y 3) (pow.f64 (expm1.f64 z) 3))) (-.f64 (log.f64 (neg.f64 (expm1.f64 z))) (log.f64 (/.f64 -1 y)))) (/.f64 (/.f64 -1/2 (pow.f64 (expm1.f64 z) 2)) (*.f64 y y))))

localize42.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(sqrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))
0.2b
(log1p.f64 (*.f64 y (expm1.f64 z)))
✓0.3b
(pow.f64 (sqrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) 2)
3.7b
(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)
Compiler

Compiled 58 to 13 computations (77.6% saved)

series33.0ms (0.2%)

Counts
2 → 72
Calls

24 calls:

TimeVariablePointExpression
4.0ms
z
@inf
(pow.f64 (sqrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) 2)
3.0ms
y
@inf
(pow.f64 (sqrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) 2)
3.0ms
x
@0
(pow.f64 (sqrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) 2)
2.0ms
y
@-inf
(pow.f64 (sqrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) 2)
2.0ms
x
@-inf
(pow.f64 (sqrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) 2)

rewrite273.0ms (1.3%)

Algorithm
1×batch-egg-rewrite
Rules
727×prod-diff_binary64
605×log-prod_binary64
324×pow2_binary64
257×fma-def_binary64
226×pow1/3_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01330
127530
2328930
Stop Event
1×node limit
Counts
2 → 203
Calls
Call 1
Inputs
(pow.f64 (sqrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) 2)
(sqrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))
Outputs
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simplify262.0ms (1.2%)

Algorithm
1×egg-herbie
Rules
584×distribute-rgt-in_binary64
563×distribute-lft-in_binary64
318×fma-def_binary64
236×*-commutative_binary64
218×associate-*r*_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03424182
111083845
243903583
Stop Event
1×node limit
Counts
275 → 289
Calls
Call 1
Inputs
(/.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y)))) t)
(+.f64 (/.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y)))) t) x)
(+.f64 (/.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y)))) t) (+.f64 x (*.f64 (+.f64 (*.f64 1/4 (/.f64 t (*.f64 (pow.f64 (sqrt.f64 -1) 2) (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y)))))) (*.f64 -1/4 (/.f64 t (*.f64 (pow.f64 (sqrt.f64 -1) 2) (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))))))) (pow.f64 x 2))))
(+.f64 (*.f64 (+.f64 (*.f64 1/8 (/.f64 (pow.f64 t 2) (*.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) 2)))) (*.f64 -1/8 (/.f64 (pow.f64 t 2) (*.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) 2))))) (pow.f64 x 3)) (+.f64 (/.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y)))) t) (+.f64 x (*.f64 (+.f64 (*.f64 1/4 (/.f64 t (*.f64 (pow.f64 (sqrt.f64 -1) 2) (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y)))))) (*.f64 -1/4 (/.f64 t (*.f64 (pow.f64 (sqrt.f64 -1) 2) (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))))))) (pow.f64 x 2)))))
x
(+.f64 (*.f64 y (-.f64 (/.f64 1 t) (/.f64 (exp.f64 z) t))) x)
(+.f64 (*.f64 (+.f64 (*.f64 1/4 (/.f64 (pow.f64 (-.f64 (/.f64 1 t) (/.f64 (exp.f64 z) t)) 2) x)) (*.f64 -1 (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) t)) (pow.f64 (*.f64 1/2 (*.f64 (-.f64 (/.f64 1 t) (/.f64 (exp.f64 z) t)) (sqrt.f64 (/.f64 1 x)))) 2)))) (pow.f64 y 2)) (+.f64 (*.f64 y (-.f64 (/.f64 1 t) (/.f64 (exp.f64 z) t))) x))
(+.f64 (*.f64 (+.f64 (*.f64 1/4 (/.f64 (pow.f64 (-.f64 (/.f64 1 t) (/.f64 (exp.f64 z) t)) 2) x)) (*.f64 -1 (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) t)) (pow.f64 (*.f64 1/2 (*.f64 (-.f64 (/.f64 1 t) (/.f64 (exp.f64 z) t)) (sqrt.f64 (/.f64 1 x)))) 2)))) (pow.f64 y 2)) (+.f64 (*.f64 (pow.f64 y 3) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) t)) (pow.f64 (*.f64 1/2 (*.f64 (-.f64 (/.f64 1 t) (/.f64 (exp.f64 z) t)) (sqrt.f64 (/.f64 1 x)))) 2)) (-.f64 (/.f64 1 t) (/.f64 (exp.f64 z) t))) x)) (*.f64 -1 (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) t)) (pow.f64 (*.f64 1/2 (*.f64 (-.f64 (/.f64 1 t) (/.f64 (exp.f64 z) t)) (sqrt.f64 (/.f64 1 x)))) 2)) (-.f64 (/.f64 1 t) (/.f64 (exp.f64 z) t))) x)) (*.f64 1/3 (/.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 3) t)))))) (+.f64 (*.f64 y (-.f64 (/.f64 1 t) (/.f64 (exp.f64 z) t))) x)))
(-.f64 x (+.f64 (/.f64 (log.f64 (-.f64 (exp.f64 z) 1)) t) (*.f64 -1 (/.f64 (log.f64 (/.f64 1 y)) t))))
(-.f64 x (+.f64 (/.f64 (log.f64 (-.f64 (exp.f64 z) 1)) t) (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 y)) t)) (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) (*.f64 y t))))))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (*.f64 (pow.f64 y 2) t)))) x) (+.f64 (/.f64 (log.f64 (-.f64 (exp.f64 z) 1)) t) (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 y)) t)) (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) (*.f64 y t))))))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (*.f64 (pow.f64 y 2) t)))) (+.f64 (*.f64 -1/2 (/.f64 (-.f64 (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) t))) (pow.f64 (*.f64 -1/2 (*.f64 (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) t)) (sqrt.f64 (/.f64 1 (-.f64 x (+.f64 (/.f64 (log.f64 (-.f64 (exp.f64 z) 1)) t) (*.f64 -1 (/.f64 (log.f64 (/.f64 1 y)) t)))))))) 2)) (*.f64 (-.f64 (exp.f64 z) 1) (*.f64 (pow.f64 y 3) (*.f64 (-.f64 x (+.f64 (/.f64 (log.f64 (-.f64 (exp.f64 z) 1)) t) (*.f64 -1 (/.f64 (log.f64 (/.f64 1 y)) t)))) t))))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/3 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 3) t))) (*.f64 -1/2 (/.f64 (-.f64 (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) t))) (pow.f64 (*.f64 -1/2 (*.f64 (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) t)) (sqrt.f64 (/.f64 1 (-.f64 x (+.f64 (/.f64 (log.f64 (-.f64 (exp.f64 z) 1)) t) (*.f64 -1 (/.f64 (log.f64 (/.f64 1 y)) t)))))))) 2)) (*.f64 (-.f64 (exp.f64 z) 1) (*.f64 t (-.f64 x (+.f64 (/.f64 (log.f64 (-.f64 (exp.f64 z) 1)) t) (*.f64 -1 (/.f64 (log.f64 (/.f64 1 y)) t))))))))) (pow.f64 y 3))) x))) (+.f64 (/.f64 (log.f64 (-.f64 (exp.f64 z) 1)) t) (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 y)) t)) (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) (*.f64 y t))))))
(-.f64 x (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 y)) t)) (/.f64 (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1))) t)))
(-.f64 x (+.f64 (/.f64 (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1))) t) (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 y)) t)) (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) (*.f64 y t))))))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (*.f64 (pow.f64 y 2) t)))) x) (+.f64 (/.f64 (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1))) t) (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 y)) t)) (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) (*.f64 y t))))))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (*.f64 (pow.f64 y 2) t)))) x) (+.f64 (/.f64 (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1))) t) (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 y)) t)) (+.f64 (*.f64 1/3 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 3) (*.f64 (pow.f64 y 3) t)))) (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) (*.f64 y t)))))))
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(+.f64 (*.f64 -1/2 (*.f64 (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t) (sqrt.f64 (/.f64 1 x)))) (+.f64 (*.f64 -1/8 (*.f64 (/.f64 (pow.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) 2) (pow.f64 t 2)) (sqrt.f64 (/.f64 1 (pow.f64 x 3))))) (+.f64 (sqrt.f64 x) (*.f64 -1/16 (*.f64 (/.f64 (pow.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) 3) (pow.f64 t 3)) (sqrt.f64 (/.f64 1 (pow.f64 x 5))))))))
Outputs
(/.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y)))) t)
(/.f64 (pow.f64 (sqrt.f64 -1) 2) (/.f64 t (log1p.f64 (*.f64 (expm1.f64 z) y))))
(/.f64 (neg.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) t)
(+.f64 (/.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y)))) t) x)
(+.f64 (/.f64 (pow.f64 (sqrt.f64 -1) 2) (/.f64 t (log1p.f64 (*.f64 (expm1.f64 z) y)))) x)
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))
(+.f64 (/.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y)))) t) (+.f64 x (*.f64 (+.f64 (*.f64 1/4 (/.f64 t (*.f64 (pow.f64 (sqrt.f64 -1) 2) (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y)))))) (*.f64 -1/4 (/.f64 t (*.f64 (pow.f64 (sqrt.f64 -1) 2) (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))))))) (pow.f64 x 2))))
(+.f64 (/.f64 (pow.f64 (sqrt.f64 -1) 2) (/.f64 t (log1p.f64 (*.f64 (expm1.f64 z) y)))) x)
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))
(+.f64 (*.f64 (+.f64 (*.f64 1/8 (/.f64 (pow.f64 t 2) (*.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) 2)))) (*.f64 -1/8 (/.f64 (pow.f64 t 2) (*.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) 2))))) (pow.f64 x 3)) (+.f64 (/.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y)))) t) (+.f64 x (*.f64 (+.f64 (*.f64 1/4 (/.f64 t (*.f64 (pow.f64 (sqrt.f64 -1) 2) (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y)))))) (*.f64 -1/4 (/.f64 t (*.f64 (pow.f64 (sqrt.f64 -1) 2) (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))))))) (pow.f64 x 2)))))
(+.f64 (/.f64 (pow.f64 (sqrt.f64 -1) 2) (/.f64 t (log1p.f64 (*.f64 (expm1.f64 z) y)))) x)
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))
x
(+.f64 (*.f64 y (-.f64 (/.f64 1 t) (/.f64 (exp.f64 z) t))) x)
(fma.f64 y (-.f64 (/.f64 1 t) (/.f64 (exp.f64 z) t)) x)
(+.f64 (*.f64 (+.f64 (*.f64 1/4 (/.f64 (pow.f64 (-.f64 (/.f64 1 t) (/.f64 (exp.f64 z) t)) 2) x)) (*.f64 -1 (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) t)) (pow.f64 (*.f64 1/2 (*.f64 (-.f64 (/.f64 1 t) (/.f64 (exp.f64 z) t)) (sqrt.f64 (/.f64 1 x)))) 2)))) (pow.f64 y 2)) (+.f64 (*.f64 y (-.f64 (/.f64 1 t) (/.f64 (exp.f64 z) t))) x))
(fma.f64 (fma.f64 1/4 (/.f64 (pow.f64 (-.f64 (/.f64 1 t) (/.f64 (exp.f64 z) t)) 2) x) (neg.f64 (fma.f64 -1/2 (/.f64 (pow.f64 (expm1.f64 z) 2) t) (pow.f64 (*.f64 1/2 (*.f64 (-.f64 (/.f64 1 t) (/.f64 (exp.f64 z) t)) (sqrt.f64 (/.f64 1 x)))) 2)))) (*.f64 y y) (fma.f64 y (-.f64 (/.f64 1 t) (/.f64 (exp.f64 z) t)) x))
(fma.f64 (-.f64 (*.f64 1/4 (/.f64 (pow.f64 (-.f64 (/.f64 1 t) (/.f64 (exp.f64 z) t)) 2) x)) (fma.f64 -1/2 (/.f64 (pow.f64 (expm1.f64 z) 2) t) (pow.f64 (*.f64 (-.f64 (/.f64 1 t) (/.f64 (exp.f64 z) t)) (*.f64 (sqrt.f64 (/.f64 1 x)) 1/2)) 2))) (*.f64 y y) (fma.f64 y (-.f64 (/.f64 1 t) (/.f64 (exp.f64 z) t)) x))
(fma.f64 (-.f64 (*.f64 1/4 (/.f64 (pow.f64 (-.f64 (/.f64 1 t) (/.f64 (exp.f64 z) t)) 2) x)) (fma.f64 -1/2 (/.f64 (pow.f64 (expm1.f64 z) 2) t) (*.f64 1/4 (*.f64 (pow.f64 (-.f64 (/.f64 1 t) (/.f64 (exp.f64 z) t)) 2) (/.f64 1 x))))) (*.f64 y y) (fma.f64 y (-.f64 (/.f64 1 t) (/.f64 (exp.f64 z) t)) x))
(+.f64 (*.f64 (+.f64 (*.f64 1/4 (/.f64 (pow.f64 (-.f64 (/.f64 1 t) (/.f64 (exp.f64 z) t)) 2) x)) (*.f64 -1 (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) t)) (pow.f64 (*.f64 1/2 (*.f64 (-.f64 (/.f64 1 t) (/.f64 (exp.f64 z) t)) (sqrt.f64 (/.f64 1 x)))) 2)))) (pow.f64 y 2)) (+.f64 (*.f64 (pow.f64 y 3) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) t)) (pow.f64 (*.f64 1/2 (*.f64 (-.f64 (/.f64 1 t) (/.f64 (exp.f64 z) t)) (sqrt.f64 (/.f64 1 x)))) 2)) (-.f64 (/.f64 1 t) (/.f64 (exp.f64 z) t))) x)) (*.f64 -1 (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) t)) (pow.f64 (*.f64 1/2 (*.f64 (-.f64 (/.f64 1 t) (/.f64 (exp.f64 z) t)) (sqrt.f64 (/.f64 1 x)))) 2)) (-.f64 (/.f64 1 t) (/.f64 (exp.f64 z) t))) x)) (*.f64 1/3 (/.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 3) t)))))) (+.f64 (*.f64 y (-.f64 (/.f64 1 t) (/.f64 (exp.f64 z) t))) x)))
(fma.f64 (fma.f64 1/4 (/.f64 (pow.f64 (-.f64 (/.f64 1 t) (/.f64 (exp.f64 z) t)) 2) x) (neg.f64 (fma.f64 -1/2 (/.f64 (pow.f64 (expm1.f64 z) 2) t) (pow.f64 (*.f64 1/2 (*.f64 (-.f64 (/.f64 1 t) (/.f64 (exp.f64 z) t)) (sqrt.f64 (/.f64 1 x)))) 2)))) (*.f64 y y) (fma.f64 (pow.f64 y 3) (fma.f64 -1/2 (/.f64 (fma.f64 -1/2 (/.f64 (pow.f64 (expm1.f64 z) 2) t) (pow.f64 (*.f64 1/2 (*.f64 (-.f64 (/.f64 1 t) (/.f64 (exp.f64 z) t)) (sqrt.f64 (/.f64 1 x)))) 2)) (/.f64 x (-.f64 (/.f64 1 t) (/.f64 (exp.f64 z) t)))) (neg.f64 (fma.f64 -1/2 (/.f64 (fma.f64 -1/2 (/.f64 (pow.f64 (expm1.f64 z) 2) t) (pow.f64 (*.f64 1/2 (*.f64 (-.f64 (/.f64 1 t) (/.f64 (exp.f64 z) t)) (sqrt.f64 (/.f64 1 x)))) 2)) (/.f64 x (-.f64 (/.f64 1 t) (/.f64 (exp.f64 z) t)))) (/.f64 (*.f64 1/3 (pow.f64 (expm1.f64 z) 3)) t)))) (fma.f64 y (-.f64 (/.f64 1 t) (/.f64 (exp.f64 z) t)) x)))
(fma.f64 (-.f64 (*.f64 1/4 (/.f64 (pow.f64 (-.f64 (/.f64 1 t) (/.f64 (exp.f64 z) t)) 2) x)) (fma.f64 -1/2 (/.f64 (pow.f64 (expm1.f64 z) 2) t) (pow.f64 (*.f64 (-.f64 (/.f64 1 t) (/.f64 (exp.f64 z) t)) (*.f64 (sqrt.f64 (/.f64 1 x)) 1/2)) 2))) (*.f64 y y) (fma.f64 (pow.f64 y 3) (fma.f64 -1/2 (/.f64 (fma.f64 -1/2 (/.f64 (pow.f64 (expm1.f64 z) 2) t) (pow.f64 (*.f64 (-.f64 (/.f64 1 t) (/.f64 (exp.f64 z) t)) (*.f64 (sqrt.f64 (/.f64 1 x)) 1/2)) 2)) (/.f64 x (-.f64 (/.f64 1 t) (/.f64 (exp.f64 z) t)))) (+.f64 (*.f64 1/2 (/.f64 (fma.f64 -1/2 (/.f64 (pow.f64 (expm1.f64 z) 2) t) (pow.f64 (*.f64 (-.f64 (/.f64 1 t) (/.f64 (exp.f64 z) t)) (*.f64 (sqrt.f64 (/.f64 1 x)) 1/2)) 2)) (/.f64 x (-.f64 (/.f64 1 t) (/.f64 (exp.f64 z) t))))) (*.f64 (/.f64 (pow.f64 (expm1.f64 z) 3) t) -1/3))) (fma.f64 y (-.f64 (/.f64 1 t) (/.f64 (exp.f64 z) t)) x)))
(fma.f64 (-.f64 (*.f64 1/4 (/.f64 (pow.f64 (-.f64 (/.f64 1 t) (/.f64 (exp.f64 z) t)) 2) x)) (fma.f64 -1/2 (/.f64 (pow.f64 (expm1.f64 z) 2) t) (*.f64 1/4 (*.f64 (pow.f64 (-.f64 (/.f64 1 t) (/.f64 (exp.f64 z) t)) 2) (/.f64 1 x))))) (*.f64 y y) (fma.f64 (pow.f64 y 3) (+.f64 (*.f64 (/.f64 (fma.f64 -1/2 (/.f64 (pow.f64 (expm1.f64 z) 2) t) (*.f64 1/4 (*.f64 (pow.f64 (-.f64 (/.f64 1 t) (/.f64 (exp.f64 z) t)) 2) (/.f64 1 x)))) (/.f64 x (-.f64 (/.f64 1 t) (/.f64 (exp.f64 z) t)))) 0) (*.f64 (/.f64 (pow.f64 (expm1.f64 z) 3) t) -1/3)) (fma.f64 y (-.f64 (/.f64 1 t) (/.f64 (exp.f64 z) t)) x)))
(-.f64 x (+.f64 (/.f64 (log.f64 (-.f64 (exp.f64 z) 1)) t) (*.f64 -1 (/.f64 (log.f64 (/.f64 1 y)) t))))
(-.f64 (-.f64 x (/.f64 (log.f64 (expm1.f64 z)) t)) (neg.f64 (/.f64 (neg.f64 (log.f64 y)) t)))
(-.f64 x (-.f64 (/.f64 (log.f64 (expm1.f64 z)) t) (/.f64 (neg.f64 (log.f64 y)) t)))
(-.f64 x (+.f64 (/.f64 (log.f64 (expm1.f64 z)) t) (/.f64 (log.f64 y) t)))
(-.f64 x (+.f64 (/.f64 (log.f64 (-.f64 (exp.f64 z) 1)) t) (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 y)) t)) (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) (*.f64 y t))))))
(-.f64 (-.f64 x (/.f64 (log.f64 (expm1.f64 z)) t)) (fma.f64 -1 (/.f64 (neg.f64 (log.f64 y)) t) (/.f64 (/.f64 1 (expm1.f64 z)) (*.f64 y t))))
(-.f64 x (+.f64 (/.f64 (log.f64 (expm1.f64 z)) t) (-.f64 (/.f64 1 (*.f64 (expm1.f64 z) (*.f64 y t))) (/.f64 (neg.f64 (log.f64 y)) t))))
(-.f64 (-.f64 x (/.f64 (log.f64 (expm1.f64 z)) t)) (+.f64 (/.f64 (log.f64 y) t) (/.f64 (/.f64 (/.f64 1 t) (expm1.f64 z)) y)))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (*.f64 (pow.f64 y 2) t)))) x) (+.f64 (/.f64 (log.f64 (-.f64 (exp.f64 z) 1)) t) (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 y)) t)) (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) (*.f64 y t))))))
(+.f64 (/.f64 1/2 (*.f64 (pow.f64 (expm1.f64 z) 2) (*.f64 t (*.f64 y y)))) (-.f64 (-.f64 x (/.f64 (log.f64 (expm1.f64 z)) t)) (fma.f64 -1 (/.f64 (neg.f64 (log.f64 y)) t) (/.f64 (/.f64 1 (expm1.f64 z)) (*.f64 y t)))))
(-.f64 (+.f64 x (/.f64 1/2 (*.f64 (pow.f64 (expm1.f64 z) 2) (*.f64 t (*.f64 y y))))) (+.f64 (/.f64 (log.f64 (expm1.f64 z)) t) (-.f64 (/.f64 1 (*.f64 (expm1.f64 z) (*.f64 y t))) (/.f64 (neg.f64 (log.f64 y)) t))))
(+.f64 (-.f64 (-.f64 x (/.f64 (log.f64 (expm1.f64 z)) t)) (+.f64 (/.f64 (log.f64 y) t) (/.f64 (/.f64 (/.f64 1 t) (expm1.f64 z)) y))) (/.f64 1/2 (*.f64 t (*.f64 (pow.f64 (expm1.f64 z) 2) (*.f64 y y)))))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (*.f64 (pow.f64 y 2) t)))) (+.f64 (*.f64 -1/2 (/.f64 (-.f64 (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) t))) (pow.f64 (*.f64 -1/2 (*.f64 (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) t)) (sqrt.f64 (/.f64 1 (-.f64 x (+.f64 (/.f64 (log.f64 (-.f64 (exp.f64 z) 1)) t) (*.f64 -1 (/.f64 (log.f64 (/.f64 1 y)) t)))))))) 2)) (*.f64 (-.f64 (exp.f64 z) 1) (*.f64 (pow.f64 y 3) (*.f64 (-.f64 x (+.f64 (/.f64 (log.f64 (-.f64 (exp.f64 z) 1)) t) (*.f64 -1 (/.f64 (log.f64 (/.f64 1 y)) t)))) t))))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/3 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 3) t))) (*.f64 -1/2 (/.f64 (-.f64 (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) t))) (pow.f64 (*.f64 -1/2 (*.f64 (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) t)) (sqrt.f64 (/.f64 1 (-.f64 x (+.f64 (/.f64 (log.f64 (-.f64 (exp.f64 z) 1)) t) (*.f64 -1 (/.f64 (log.f64 (/.f64 1 y)) t)))))))) 2)) (*.f64 (-.f64 (exp.f64 z) 1) (*.f64 t (-.f64 x (+.f64 (/.f64 (log.f64 (-.f64 (exp.f64 z) 1)) t) (*.f64 -1 (/.f64 (log.f64 (/.f64 1 y)) t))))))))) (pow.f64 y 3))) x))) (+.f64 (/.f64 (log.f64 (-.f64 (exp.f64 z) 1)) t) (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 y)) t)) (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) (*.f64 y t))))))
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(-.f64 x (fma.f64 -1 (/.f64 (log.f64 (/.f64 -1 y)) t) (/.f64 (log.f64 (neg.f64 (expm1.f64 z))) t)))
(-.f64 x (-.f64 (/.f64 (log.f64 (neg.f64 (expm1.f64 z))) t) (/.f64 (log.f64 (/.f64 -1 y)) t)))
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eval663.0ms (3.2%)

Compiler

Compiled 39209 to 14747 computations (62.4% saved)

prune273.0ms (1.3%)

Pruning

18 alts after pruning (13 fresh and 5 done)

PrunedKeptTotal
New1286101296
Fresh235
Picked011
Done145
Total1289181307
Error
0b
Counts
1307 → 18
Alt Table
Click to see full alt table
StatusErrorProgram
17.2b
(-.f64 x (/.f64 y (/.f64 t z)))
27.7b
(-.f64 x (/.f64 (fma.f64 z y (*.f64 (*.f64 z z) (*.f64 (-.f64 y (*.f64 y y)) 1/2))) t))
✓0.8b
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))
▶16.4b
(-.f64 x (/.f64 z (/.f64 t y)))
▶16.3b
(-.f64 x (/.f64 (*.f64 z y) t))
57.9b
(-.f64 x (+.f64 (/.f64 (log.f64 (expm1.f64 z)) t) (/.f64 (log.f64 y) t)))
56.1b
(*.f64 (/.f64 y t) (neg.f64 z))
✓45.6b
(/.f64 (neg.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) t)
▶58.6b
(/.f64 (neg.f64 (*.f64 (-.f64 (exp.f64 z) 1) y)) t)
✓9.7b
(-.f64 x (*.f64 (/.f64 y t) (expm1.f64 z)))
45.7b
(*.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (/.f64 1 (neg.f64 t)))
41.5b
(pow.f64 (sqrt.f64 x) 2)
▶54.9b
(/.f64 (neg.f64 (*.f64 y z)) t)
▶55.2b
(*.f64 y (/.f64 (neg.f64 z) t))
18.1b
x
51.4b
(/.f64 (neg.f64 (*.f64 y (expm1.f64 z))) t)
✓33.5b
(pow.f64 (sqrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) 2)
✓0.8b
(-.f64 x (*.f64 (/.f64 1 t) (log1p.f64 (*.f64 y (expm1.f64 z)))))
Compiler

Compiled 367 to 257 computations (30% saved)

localize8.0ms (0%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(-.f64 x (/.f64 (*.f64 z y) t))
✓5.1b
(/.f64 (*.f64 z y) t)
Compiler

Compiled 23 to 7 computations (69.6% saved)

series5.0ms (0%)

Counts
2 → 84
Calls

21 calls:

TimeVariablePointExpression
0.0ms
z
@0
(/.f64 (*.f64 z y) t)
0.0ms
t
@-inf
(/.f64 (*.f64 z y) t)
0.0ms
z
@-inf
(-.f64 x (/.f64 (*.f64 z y) t))
0.0ms
z
@inf
(/.f64 (*.f64 z y) t)
0.0ms
x
@-inf
(-.f64 x (/.f64 (*.f64 z y) t))

rewrite176.0ms (0.8%)

Algorithm
1×batch-egg-rewrite
Rules
587×prod-diff_binary64
503×log-prod_binary64
320×pow-prod-down_binary64
250×pow2_binary64
215×fma-def_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0817
117617
2261317
Stop Event
1×node limit
Counts
2 → 250
Calls
Call 1
Inputs
(/.f64 (*.f64 z y) t)
(-.f64 x (/.f64 (*.f64 z y) t))
Outputs
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simplify126.0ms (0.6%)

Algorithm
1×egg-herbie
Rules
365×fma-def_binary64
220×fma-neg_binary64
81×cancel-sign-sub-inv_binary64
54×associate-/l*_binary64
44×distribute-rgt-in_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
010708
119672
241672
380672
4141672
5214672
6300672
7378672
8482672
9747672
101170672
111326672
121445672
131450672
Stop Event
1×saturated
Counts
334 → 257
Calls
Call 1
Inputs
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(*.f64 -1 (/.f64 (*.f64 y z) t))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
x
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
x
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
x
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(*.f64 -1 (/.f64 (*.f64 y z) t))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
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(-.f64 x (*.f64 z (/.f64 y t)))
(-.f64 x (*.f64 y (/.f64 z t)))
(-.f64 x (/.f64 (*.f64 y z) t))
x
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(fma.f64 -1 (/.f64 y (/.f64 t z)) x)
(-.f64 x (*.f64 (/.f64 y t) z))
(-.f64 x (*.f64 z (/.f64 y t)))
(-.f64 x (*.f64 y (/.f64 z t)))
(-.f64 x (/.f64 (*.f64 y z) t))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(fma.f64 -1 (/.f64 y (/.f64 t z)) x)
(-.f64 x (*.f64 (/.f64 y t) z))
(-.f64 x (*.f64 z (/.f64 y t)))
(-.f64 x (*.f64 y (/.f64 z t)))
(-.f64 x (/.f64 (*.f64 y z) t))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(fma.f64 -1 (/.f64 y (/.f64 t z)) x)
(-.f64 x (*.f64 (/.f64 y t) z))
(-.f64 x (*.f64 z (/.f64 y t)))
(-.f64 x (*.f64 y (/.f64 z t)))
(-.f64 x (/.f64 (*.f64 y z) t))

localize8.0ms (0%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓6.9b
(*.f64 y (/.f64 (neg.f64 z) t))
Compiler

Compiled 19 to 7 computations (63.2% saved)

series3.0ms (0%)

Counts
1 → 36
Calls

9 calls:

TimeVariablePointExpression
1.0ms
y
@0
(*.f64 y (/.f64 (neg.f64 z) t))
0.0ms
t
@0
(*.f64 y (/.f64 (neg.f64 z) t))
0.0ms
z
@0
(*.f64 y (/.f64 (neg.f64 z) t))
0.0ms
y
@inf
(*.f64 y (/.f64 (neg.f64 z) t))
0.0ms
y
@-inf
(*.f64 y (/.f64 (neg.f64 z) t))

rewrite54.0ms (0.3%)

Algorithm
1×batch-egg-rewrite
Rules
695×pow1_binary64
641×add-log-exp_binary64
640×log1p-expm1-u_binary64
640×expm1-log1p-u_binary64
626×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
079
11507
221507
Stop Event
1×node limit
Counts
1 → 21
Calls
Call 1
Inputs
(*.f64 y (/.f64 (neg.f64 z) t))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 y (/.f64 z t))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 y (/.f64 t z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 t (*.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y z) t)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y z) (neg.f64 t))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 y z) 1) t)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 y z) (cbrt.f64 (*.f64 t t))) (cbrt.f64 t))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 y z) (sqrt.f64 t)) (sqrt.f64 t))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y (/.f64 z t)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 y (/.f64 z t)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 y (/.f64 z t))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 y (/.f64 z t))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 y (/.f64 z t)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 y (/.f64 z t)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (/.f64 z t)) y))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 y (/.f64 z t)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 y 3) (pow.f64 (/.f64 z t) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 z t) 3) (pow.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 y (/.f64 z t))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 y (/.f64 z t))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 y (/.f64 z t))))))))

simplify27.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
145×fma-def_binary64
46×fma-neg_binary64
24×sub-neg_binary64
18×div-sub_binary64
14×associate-/l*_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
08324
115324
235324
369324
4114324
5162324
6202324
7238324
8275324
9394324
10445324
Stop Event
1×saturated
Counts
57 → 23
Calls
Call 1
Inputs
(*.f64 -1 (/.f64 (*.f64 y z) t))
(*.f64 -1 (/.f64 (*.f64 y z) t))
(*.f64 -1 (/.f64 (*.f64 y z) t))
(*.f64 -1 (/.f64 (*.f64 y z) t))
(*.f64 -1 (/.f64 (*.f64 y z) t))
(*.f64 -1 (/.f64 (*.f64 y z) t))
(*.f64 -1 (/.f64 (*.f64 y z) t))
(*.f64 -1 (/.f64 (*.f64 y z) t))
(*.f64 -1 (/.f64 (*.f64 y z) t))
(*.f64 -1 (/.f64 (*.f64 y z) t))
(*.f64 -1 (/.f64 (*.f64 y z) t))
(*.f64 -1 (/.f64 (*.f64 y z) t))
(*.f64 -1 (/.f64 (*.f64 y z) t))
(*.f64 -1 (/.f64 (*.f64 y z) t))
(*.f64 -1 (/.f64 (*.f64 y z) t))
(*.f64 -1 (/.f64 (*.f64 y z) t))
(*.f64 -1 (/.f64 (*.f64 y z) t))
(*.f64 -1 (/.f64 (*.f64 y z) t))
(*.f64 -1 (/.f64 (*.f64 y z) t))
(*.f64 -1 (/.f64 (*.f64 y z) t))
(*.f64 -1 (/.f64 (*.f64 y z) t))
(*.f64 -1 (/.f64 (*.f64 y z) t))
(*.f64 -1 (/.f64 (*.f64 y z) t))
(*.f64 -1 (/.f64 (*.f64 y z) t))
(*.f64 -1 (/.f64 (*.f64 y z) t))
(*.f64 -1 (/.f64 (*.f64 y z) t))
(*.f64 -1 (/.f64 (*.f64 y z) t))
(*.f64 -1 (/.f64 (*.f64 y z) t))
(*.f64 -1 (/.f64 (*.f64 y z) t))
(*.f64 -1 (/.f64 (*.f64 y z) t))
(*.f64 -1 (/.f64 (*.f64 y z) t))
(*.f64 -1 (/.f64 (*.f64 y z) t))
(*.f64 -1 (/.f64 (*.f64 y z) t))
(*.f64 -1 (/.f64 (*.f64 y z) t))
(*.f64 -1 (/.f64 (*.f64 y z) t))
(*.f64 -1 (/.f64 (*.f64 y z) t))
Outputs
(*.f64 -1 (/.f64 (*.f64 y z) t))
(neg.f64 (/.f64 y (/.f64 t z)))
(/.f64 (neg.f64 (*.f64 y z)) t)
(*.f64 (neg.f64 (/.f64 y t)) z)
(*.f64 z (/.f64 (neg.f64 y) t))
(*.f64 y (neg.f64 (/.f64 z t)))
(*.f64 -1 (/.f64 (*.f64 y z) t))
(neg.f64 (/.f64 y (/.f64 t z)))
(/.f64 (neg.f64 (*.f64 y z)) t)
(*.f64 (neg.f64 (/.f64 y t)) z)
(*.f64 z (/.f64 (neg.f64 y) t))
(*.f64 y (neg.f64 (/.f64 z t)))
(*.f64 -1 (/.f64 (*.f64 y z) t))
(neg.f64 (/.f64 y (/.f64 t z)))
(/.f64 (neg.f64 (*.f64 y z)) t)
(*.f64 (neg.f64 (/.f64 y t)) z)
(*.f64 z (/.f64 (neg.f64 y) t))
(*.f64 y (neg.f64 (/.f64 z t)))
(*.f64 -1 (/.f64 (*.f64 y z) t))
(neg.f64 (/.f64 y (/.f64 t z)))
(/.f64 (neg.f64 (*.f64 y z)) t)
(*.f64 (neg.f64 (/.f64 y t)) z)
(*.f64 z (/.f64 (neg.f64 y) t))
(*.f64 y (neg.f64 (/.f64 z t)))
(*.f64 -1 (/.f64 (*.f64 y z) t))
(neg.f64 (/.f64 y (/.f64 t z)))
(/.f64 (neg.f64 (*.f64 y z)) t)
(*.f64 (neg.f64 (/.f64 y t)) z)
(*.f64 z (/.f64 (neg.f64 y) t))
(*.f64 y (neg.f64 (/.f64 z t)))
(*.f64 -1 (/.f64 (*.f64 y z) t))
(neg.f64 (/.f64 y (/.f64 t z)))
(/.f64 (neg.f64 (*.f64 y z)) t)
(*.f64 (neg.f64 (/.f64 y t)) z)
(*.f64 z (/.f64 (neg.f64 y) t))
(*.f64 y (neg.f64 (/.f64 z t)))
(*.f64 -1 (/.f64 (*.f64 y z) t))
(neg.f64 (/.f64 y (/.f64 t z)))
(/.f64 (neg.f64 (*.f64 y z)) t)
(*.f64 (neg.f64 (/.f64 y t)) z)
(*.f64 z (/.f64 (neg.f64 y) t))
(*.f64 y (neg.f64 (/.f64 z t)))
(*.f64 -1 (/.f64 (*.f64 y z) t))
(neg.f64 (/.f64 y (/.f64 t z)))
(/.f64 (neg.f64 (*.f64 y z)) t)
(*.f64 (neg.f64 (/.f64 y t)) z)
(*.f64 z (/.f64 (neg.f64 y) t))
(*.f64 y (neg.f64 (/.f64 z t)))
(*.f64 -1 (/.f64 (*.f64 y z) t))
(neg.f64 (/.f64 y (/.f64 t z)))
(/.f64 (neg.f64 (*.f64 y z)) t)
(*.f64 (neg.f64 (/.f64 y t)) z)
(*.f64 z (/.f64 (neg.f64 y) t))
(*.f64 y (neg.f64 (/.f64 z t)))
(*.f64 -1 (/.f64 (*.f64 y z) t))
(neg.f64 (/.f64 y (/.f64 t z)))
(/.f64 (neg.f64 (*.f64 y z)) t)
(*.f64 (neg.f64 (/.f64 y t)) z)
(*.f64 z (/.f64 (neg.f64 y) t))
(*.f64 y (neg.f64 (/.f64 z t)))
(*.f64 -1 (/.f64 (*.f64 y z) t))
(neg.f64 (/.f64 y (/.f64 t z)))
(/.f64 (neg.f64 (*.f64 y z)) t)
(*.f64 (neg.f64 (/.f64 y t)) z)
(*.f64 z (/.f64 (neg.f64 y) t))
(*.f64 y (neg.f64 (/.f64 z t)))
(*.f64 -1 (/.f64 (*.f64 y z) t))
(neg.f64 (/.f64 y (/.f64 t z)))
(/.f64 (neg.f64 (*.f64 y z)) t)
(*.f64 (neg.f64 (/.f64 y t)) z)
(*.f64 z (/.f64 (neg.f64 y) t))
(*.f64 y (neg.f64 (/.f64 z t)))
(*.f64 -1 (/.f64 (*.f64 y z) t))
(neg.f64 (/.f64 y (/.f64 t z)))
(/.f64 (neg.f64 (*.f64 y z)) t)
(*.f64 (neg.f64 (/.f64 y t)) z)
(*.f64 z (/.f64 (neg.f64 y) t))
(*.f64 y (neg.f64 (/.f64 z t)))
(*.f64 -1 (/.f64 (*.f64 y z) t))
(neg.f64 (/.f64 y (/.f64 t z)))
(/.f64 (neg.f64 (*.f64 y z)) t)
(*.f64 (neg.f64 (/.f64 y t)) z)
(*.f64 z (/.f64 (neg.f64 y) t))
(*.f64 y (neg.f64 (/.f64 z t)))
(*.f64 -1 (/.f64 (*.f64 y z) t))
(neg.f64 (/.f64 y (/.f64 t z)))
(/.f64 (neg.f64 (*.f64 y z)) t)
(*.f64 (neg.f64 (/.f64 y t)) z)
(*.f64 z (/.f64 (neg.f64 y) t))
(*.f64 y (neg.f64 (/.f64 z t)))
(*.f64 -1 (/.f64 (*.f64 y z) t))
(neg.f64 (/.f64 y (/.f64 t z)))
(/.f64 (neg.f64 (*.f64 y z)) t)
(*.f64 (neg.f64 (/.f64 y t)) z)
(*.f64 z (/.f64 (neg.f64 y) t))
(*.f64 y (neg.f64 (/.f64 z t)))
(*.f64 -1 (/.f64 (*.f64 y z) t))
(neg.f64 (/.f64 y (/.f64 t z)))
(/.f64 (neg.f64 (*.f64 y z)) t)
(*.f64 (neg.f64 (/.f64 y t)) z)
(*.f64 z (/.f64 (neg.f64 y) t))
(*.f64 y (neg.f64 (/.f64 z t)))
(*.f64 -1 (/.f64 (*.f64 y z) t))
(neg.f64 (/.f64 y (/.f64 t z)))
(/.f64 (neg.f64 (*.f64 y z)) t)
(*.f64 (neg.f64 (/.f64 y t)) z)
(*.f64 z (/.f64 (neg.f64 y) t))
(*.f64 y (neg.f64 (/.f64 z t)))
(*.f64 -1 (/.f64 (*.f64 y z) t))
(neg.f64 (/.f64 y (/.f64 t z)))
(/.f64 (neg.f64 (*.f64 y z)) t)
(*.f64 (neg.f64 (/.f64 y t)) z)
(*.f64 z (/.f64 (neg.f64 y) t))
(*.f64 y (neg.f64 (/.f64 z t)))
(*.f64 -1 (/.f64 (*.f64 y z) t))
(neg.f64 (/.f64 y (/.f64 t z)))
(/.f64 (neg.f64 (*.f64 y z)) t)
(*.f64 (neg.f64 (/.f64 y t)) z)
(*.f64 z (/.f64 (neg.f64 y) t))
(*.f64 y (neg.f64 (/.f64 z t)))
(*.f64 -1 (/.f64 (*.f64 y z) t))
(neg.f64 (/.f64 y (/.f64 t z)))
(/.f64 (neg.f64 (*.f64 y z)) t)
(*.f64 (neg.f64 (/.f64 y t)) z)
(*.f64 z (/.f64 (neg.f64 y) t))
(*.f64 y (neg.f64 (/.f64 z t)))
(*.f64 -1 (/.f64 (*.f64 y z) t))
(neg.f64 (/.f64 y (/.f64 t z)))
(/.f64 (neg.f64 (*.f64 y z)) t)
(*.f64 (neg.f64 (/.f64 y t)) z)
(*.f64 z (/.f64 (neg.f64 y) t))
(*.f64 y (neg.f64 (/.f64 z t)))
(*.f64 -1 (/.f64 (*.f64 y z) t))
(neg.f64 (/.f64 y (/.f64 t z)))
(/.f64 (neg.f64 (*.f64 y z)) t)
(*.f64 (neg.f64 (/.f64 y t)) z)
(*.f64 z (/.f64 (neg.f64 y) t))
(*.f64 y (neg.f64 (/.f64 z t)))
(*.f64 -1 (/.f64 (*.f64 y z) t))
(neg.f64 (/.f64 y (/.f64 t z)))
(/.f64 (neg.f64 (*.f64 y z)) t)
(*.f64 (neg.f64 (/.f64 y t)) z)
(*.f64 z (/.f64 (neg.f64 y) t))
(*.f64 y (neg.f64 (/.f64 z t)))
(*.f64 -1 (/.f64 (*.f64 y z) t))
(neg.f64 (/.f64 y (/.f64 t z)))
(/.f64 (neg.f64 (*.f64 y z)) t)
(*.f64 (neg.f64 (/.f64 y t)) z)
(*.f64 z (/.f64 (neg.f64 y) t))
(*.f64 y (neg.f64 (/.f64 z t)))
(*.f64 -1 (/.f64 (*.f64 y z) t))
(neg.f64 (/.f64 y (/.f64 t z)))
(/.f64 (neg.f64 (*.f64 y z)) t)
(*.f64 (neg.f64 (/.f64 y t)) z)
(*.f64 z (/.f64 (neg.f64 y) t))
(*.f64 y (neg.f64 (/.f64 z t)))
(*.f64 -1 (/.f64 (*.f64 y z) t))
(neg.f64 (/.f64 y (/.f64 t z)))
(/.f64 (neg.f64 (*.f64 y z)) t)
(*.f64 (neg.f64 (/.f64 y t)) z)
(*.f64 z (/.f64 (neg.f64 y) t))
(*.f64 y (neg.f64 (/.f64 z t)))
(*.f64 -1 (/.f64 (*.f64 y z) t))
(neg.f64 (/.f64 y (/.f64 t z)))
(/.f64 (neg.f64 (*.f64 y z)) t)
(*.f64 (neg.f64 (/.f64 y t)) z)
(*.f64 z (/.f64 (neg.f64 y) t))
(*.f64 y (neg.f64 (/.f64 z t)))
(*.f64 -1 (/.f64 (*.f64 y z) t))
(neg.f64 (/.f64 y (/.f64 t z)))
(/.f64 (neg.f64 (*.f64 y z)) t)
(*.f64 (neg.f64 (/.f64 y t)) z)
(*.f64 z (/.f64 (neg.f64 y) t))
(*.f64 y (neg.f64 (/.f64 z t)))
(*.f64 -1 (/.f64 (*.f64 y z) t))
(neg.f64 (/.f64 y (/.f64 t z)))
(/.f64 (neg.f64 (*.f64 y z)) t)
(*.f64 (neg.f64 (/.f64 y t)) z)
(*.f64 z (/.f64 (neg.f64 y) t))
(*.f64 y (neg.f64 (/.f64 z t)))
(*.f64 -1 (/.f64 (*.f64 y z) t))
(neg.f64 (/.f64 y (/.f64 t z)))
(/.f64 (neg.f64 (*.f64 y z)) t)
(*.f64 (neg.f64 (/.f64 y t)) z)
(*.f64 z (/.f64 (neg.f64 y) t))
(*.f64 y (neg.f64 (/.f64 z t)))
(*.f64 -1 (/.f64 (*.f64 y z) t))
(neg.f64 (/.f64 y (/.f64 t z)))
(/.f64 (neg.f64 (*.f64 y z)) t)
(*.f64 (neg.f64 (/.f64 y t)) z)
(*.f64 z (/.f64 (neg.f64 y) t))
(*.f64 y (neg.f64 (/.f64 z t)))
(*.f64 -1 (/.f64 (*.f64 y z) t))
(neg.f64 (/.f64 y (/.f64 t z)))
(/.f64 (neg.f64 (*.f64 y z)) t)
(*.f64 (neg.f64 (/.f64 y t)) z)
(*.f64 z (/.f64 (neg.f64 y) t))
(*.f64 y (neg.f64 (/.f64 z t)))
(*.f64 -1 (/.f64 (*.f64 y z) t))
(neg.f64 (/.f64 y (/.f64 t z)))
(/.f64 (neg.f64 (*.f64 y z)) t)
(*.f64 (neg.f64 (/.f64 y t)) z)
(*.f64 z (/.f64 (neg.f64 y) t))
(*.f64 y (neg.f64 (/.f64 z t)))
(*.f64 -1 (/.f64 (*.f64 y z) t))
(neg.f64 (/.f64 y (/.f64 t z)))
(/.f64 (neg.f64 (*.f64 y z)) t)
(*.f64 (neg.f64 (/.f64 y t)) z)
(*.f64 z (/.f64 (neg.f64 y) t))
(*.f64 y (neg.f64 (/.f64 z t)))
(*.f64 -1 (/.f64 (*.f64 y z) t))
(neg.f64 (/.f64 y (/.f64 t z)))
(/.f64 (neg.f64 (*.f64 y z)) t)
(*.f64 (neg.f64 (/.f64 y t)) z)
(*.f64 z (/.f64 (neg.f64 y) t))
(*.f64 y (neg.f64 (/.f64 z t)))

localize8.0ms (0%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓5.1b
(/.f64 (neg.f64 (*.f64 y z)) t)
Compiler

Compiled 20 to 7 computations (65% saved)

series3.0ms (0%)

Counts
1 → 36
Calls

9 calls:

TimeVariablePointExpression
0.0ms
y
@0
(/.f64 (neg.f64 (*.f64 y z)) t)
0.0ms
y
@-inf
(/.f64 (neg.f64 (*.f64 y z)) t)
0.0ms
y
@inf
(/.f64 (neg.f64 (*.f64 y z)) t)
0.0ms
z
@inf
(/.f64 (neg.f64 (*.f64 y z)) t)
0.0ms
z
@-inf
(/.f64 (neg.f64 (*.f64 y z)) t)

rewrite56.0ms (0.3%)

Algorithm
1×batch-egg-rewrite
Rules
736×pow1_binary64
681×add-log-exp_binary64
680×log1p-expm1-u_binary64
680×expm1-log1p-u_binary64
667×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
079
11527
222287
Stop Event
1×node limit
Counts
1 → 50
Calls
Call 1
Inputs
(/.f64 (neg.f64 (*.f64 y z)) t)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 y (/.f64 t z)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 y (/.f64 t z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 0 t) (/.f64 y (/.f64 t z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (*.f64 (neg.f64 z) (/.f64 1 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y z) (/.f64 1 t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y z) (/.f64 1 (neg.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (/.f64 t z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 y (/.f64 t z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 y z)) 2) (*.f64 (cbrt.f64 (*.f64 y z)) (/.f64 1 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 y (/.f64 t z))) (pow.f64 (cbrt.f64 (/.f64 y (/.f64 t z))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 y (/.f64 t z))) 2) (cbrt.f64 (/.f64 y (/.f64 t z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 y z)) (*.f64 (sqrt.f64 (*.f64 y z)) (/.f64 1 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 y (/.f64 t z))) (sqrt.f64 (/.f64 y (/.f64 t z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 t) (*.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 y (/.f64 t z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 y) (*.f64 z (/.f64 1 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y 1) (/.f64 (neg.f64 z) t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y 1) (/.f64 z t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 y z)) 2) 1) (/.f64 (cbrt.f64 (*.f64 y z)) t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 y z)) 1) (/.f64 (sqrt.f64 (*.f64 y z)) t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (neg.f64 y) 1) (/.f64 z t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (pow.f64 (cbrt.f64 t) 2)) (/.f64 (neg.f64 z) (cbrt.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (pow.f64 (cbrt.f64 t) 2)) (/.f64 z (cbrt.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 t) 2)) (/.f64 (*.f64 y z) (cbrt.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 y z)) 2) (pow.f64 (cbrt.f64 t) 2)) (cbrt.f64 (/.f64 y (/.f64 t z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 y z)) (pow.f64 (cbrt.f64 t) 2)) (/.f64 (sqrt.f64 (*.f64 y z)) (cbrt.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (pow.f64 (cbrt.f64 t) 2)) (/.f64 (*.f64 y z) (cbrt.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (neg.f64 y) (pow.f64 (cbrt.f64 t) 2)) (/.f64 z (cbrt.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (sqrt.f64 t)) (/.f64 (neg.f64 z) (sqrt.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (sqrt.f64 t)) (/.f64 z (sqrt.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 t)) (/.f64 (*.f64 y z) (sqrt.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 y z)) 2) (sqrt.f64 t)) (/.f64 (cbrt.f64 (*.f64 y z)) (sqrt.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (sqrt.f64 t)) (/.f64 (*.f64 y z) (sqrt.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (neg.f64 y) (sqrt.f64 t)) (/.f64 z (sqrt.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 z (sqrt.f64 t)) (/.f64 y (sqrt.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 z 1) (/.f64 y t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 z (pow.f64 (cbrt.f64 t) 2)) (/.f64 y (cbrt.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 y (/.f64 t z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 y (/.f64 t z)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 y (/.f64 t z))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 y (/.f64 t z))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 t (*.f64 y z)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 y (/.f64 t z)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 y (/.f64 t z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 y (/.f64 t z))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 y (/.f64 t z)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 y z) 3) (pow.f64 t 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 y (/.f64 t z))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 y (/.f64 t z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 y (/.f64 t z))))))))

simplify30.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
145×fma-def_binary64
46×fma-neg_binary64
24×sub-neg_binary64
18×div-sub_binary64
14×associate-/l*_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
08324
115324
235324
369324
4114324
5162324
6202324
7238324
8275324
9394324
10445324
Stop Event
1×saturated
Counts
86 → 52
Calls
Call 1
Inputs
(*.f64 -1 (/.f64 (*.f64 y z) t))
(*.f64 -1 (/.f64 (*.f64 y z) t))
(*.f64 -1 (/.f64 (*.f64 y z) t))
(*.f64 -1 (/.f64 (*.f64 y z) t))
(*.f64 -1 (/.f64 (*.f64 y z) t))
(*.f64 -1 (/.f64 (*.f64 y z) t))
(*.f64 -1 (/.f64 (*.f64 y z) t))
(*.f64 -1 (/.f64 (*.f64 y z) t))
(*.f64 -1 (/.f64 (*.f64 y z) t))
(*.f64 -1 (/.f64 (*.f64 y z) t))
(*.f64 -1 (/.f64 (*.f64 y z) t))
(*.f64 -1 (/.f64 (*.f64 y z) t))
(*.f64 -1 (/.f64 (*.f64 y z) t))
(*.f64 -1 (/.f64 (*.f64 y z) t))
(*.f64 -1 (/.f64 (*.f64 y z) t))
(*.f64 -1 (/.f64 (*.f64 y z) t))
(*.f64 -1 (/.f64 (*.f64 y z) t))
(*.f64 -1 (/.f64 (*.f64 y z) t))
(*.f64 -1 (/.f64 (*.f64 y z) t))
(*.f64 -1 (/.f64 (*.f64 y z) t))
(*.f64 -1 (/.f64 (*.f64 y z) t))
(*.f64 -1 (/.f64 (*.f64 y z) t))
(*.f64 -1 (/.f64 (*.f64 y z) t))
(*.f64 -1 (/.f64 (*.f64 y z) t))
(*.f64 -1 (/.f64 (*.f64 y z) t))
(*.f64 -1 (/.f64 (*.f64 y z) t))
(*.f64 -1 (/.f64 (*.f64 y z) t))
(*.f64 -1 (/.f64 (*.f64 y z) t))
(*.f64 -1 (/.f64 (*.f64 y z) t))
(*.f64 -1 (/.f64 (*.f64 y z) t))
(*.f64 -1 (/.f64 (*.f64 y z) t))
(*.f64 -1 (/.f64 (*.f64 y z) t))
(*.f64 -1 (/.f64 (*.f64 y z) t))
(*.f64 -1 (/.f64 (*.f64 y z) t))
(*.f64 -1 (/.f64 (*.f64 y z) t))
(*.f64 -1 (/.f64 (*.f64 y z) t))
Outputs
(*.f64 -1 (/.f64 (*.f64 y z) t))
(neg.f64 (/.f64 y (/.f64 t z)))
(/.f64 (neg.f64 (*.f64 y z)) t)
(*.f64 (neg.f64 (/.f64 y t)) z)
(*.f64 z (/.f64 (neg.f64 y) t))
(*.f64 y (neg.f64 (/.f64 z t)))
(*.f64 -1 (/.f64 (*.f64 y z) t))
(neg.f64 (/.f64 y (/.f64 t z)))
(/.f64 (neg.f64 (*.f64 y z)) t)
(*.f64 (neg.f64 (/.f64 y t)) z)
(*.f64 z (/.f64 (neg.f64 y) t))
(*.f64 y (neg.f64 (/.f64 z t)))
(*.f64 -1 (/.f64 (*.f64 y z) t))
(neg.f64 (/.f64 y (/.f64 t z)))
(/.f64 (neg.f64 (*.f64 y z)) t)
(*.f64 (neg.f64 (/.f64 y t)) z)
(*.f64 z (/.f64 (neg.f64 y) t))
(*.f64 y (neg.f64 (/.f64 z t)))
(*.f64 -1 (/.f64 (*.f64 y z) t))
(neg.f64 (/.f64 y (/.f64 t z)))
(/.f64 (neg.f64 (*.f64 y z)) t)
(*.f64 (neg.f64 (/.f64 y t)) z)
(*.f64 z (/.f64 (neg.f64 y) t))
(*.f64 y (neg.f64 (/.f64 z t)))
(*.f64 -1 (/.f64 (*.f64 y z) t))
(neg.f64 (/.f64 y (/.f64 t z)))
(/.f64 (neg.f64 (*.f64 y z)) t)
(*.f64 (neg.f64 (/.f64 y t)) z)
(*.f64 z (/.f64 (neg.f64 y) t))
(*.f64 y (neg.f64 (/.f64 z t)))
(*.f64 -1 (/.f64 (*.f64 y z) t))
(neg.f64 (/.f64 y (/.f64 t z)))
(/.f64 (neg.f64 (*.f64 y z)) t)
(*.f64 (neg.f64 (/.f64 y t)) z)
(*.f64 z (/.f64 (neg.f64 y) t))
(*.f64 y (neg.f64 (/.f64 z t)))
(*.f64 -1 (/.f64 (*.f64 y z) t))
(neg.f64 (/.f64 y (/.f64 t z)))
(/.f64 (neg.f64 (*.f64 y z)) t)
(*.f64 (neg.f64 (/.f64 y t)) z)
(*.f64 z (/.f64 (neg.f64 y) t))
(*.f64 y (neg.f64 (/.f64 z t)))
(*.f64 -1 (/.f64 (*.f64 y z) t))
(neg.f64 (/.f64 y (/.f64 t z)))
(/.f64 (neg.f64 (*.f64 y z)) t)
(*.f64 (neg.f64 (/.f64 y t)) z)
(*.f64 z (/.f64 (neg.f64 y) t))
(*.f64 y (neg.f64 (/.f64 z t)))
(*.f64 -1 (/.f64 (*.f64 y z) t))
(neg.f64 (/.f64 y (/.f64 t z)))
(/.f64 (neg.f64 (*.f64 y z)) t)
(*.f64 (neg.f64 (/.f64 y t)) z)
(*.f64 z (/.f64 (neg.f64 y) t))
(*.f64 y (neg.f64 (/.f64 z t)))
(*.f64 -1 (/.f64 (*.f64 y z) t))
(neg.f64 (/.f64 y (/.f64 t z)))
(/.f64 (neg.f64 (*.f64 y z)) t)
(*.f64 (neg.f64 (/.f64 y t)) z)
(*.f64 z (/.f64 (neg.f64 y) t))
(*.f64 y (neg.f64 (/.f64 z t)))
(*.f64 -1 (/.f64 (*.f64 y z) t))
(neg.f64 (/.f64 y (/.f64 t z)))
(/.f64 (neg.f64 (*.f64 y z)) t)
(*.f64 (neg.f64 (/.f64 y t)) z)
(*.f64 z (/.f64 (neg.f64 y) t))
(*.f64 y (neg.f64 (/.f64 z t)))
(*.f64 -1 (/.f64 (*.f64 y z) t))
(neg.f64 (/.f64 y (/.f64 t z)))
(/.f64 (neg.f64 (*.f64 y z)) t)
(*.f64 (neg.f64 (/.f64 y t)) z)
(*.f64 z (/.f64 (neg.f64 y) t))
(*.f64 y (neg.f64 (/.f64 z t)))
(*.f64 -1 (/.f64 (*.f64 y z) t))
(neg.f64 (/.f64 y (/.f64 t z)))
(/.f64 (neg.f64 (*.f64 y z)) t)
(*.f64 (neg.f64 (/.f64 y t)) z)
(*.f64 z (/.f64 (neg.f64 y) t))
(*.f64 y (neg.f64 (/.f64 z t)))
(*.f64 -1 (/.f64 (*.f64 y z) t))
(neg.f64 (/.f64 y (/.f64 t z)))
(/.f64 (neg.f64 (*.f64 y z)) t)
(*.f64 (neg.f64 (/.f64 y t)) z)
(*.f64 z (/.f64 (neg.f64 y) t))
(*.f64 y (neg.f64 (/.f64 z t)))
(*.f64 -1 (/.f64 (*.f64 y z) t))
(neg.f64 (/.f64 y (/.f64 t z)))
(/.f64 (neg.f64 (*.f64 y z)) t)
(*.f64 (neg.f64 (/.f64 y t)) z)
(*.f64 z (/.f64 (neg.f64 y) t))
(*.f64 y (neg.f64 (/.f64 z t)))
(*.f64 -1 (/.f64 (*.f64 y z) t))
(neg.f64 (/.f64 y (/.f64 t z)))
(/.f64 (neg.f64 (*.f64 y z)) t)
(*.f64 (neg.f64 (/.f64 y t)) z)
(*.f64 z (/.f64 (neg.f64 y) t))
(*.f64 y (neg.f64 (/.f64 z t)))
(*.f64 -1 (/.f64 (*.f64 y z) t))
(neg.f64 (/.f64 y (/.f64 t z)))
(/.f64 (neg.f64 (*.f64 y z)) t)
(*.f64 (neg.f64 (/.f64 y t)) z)
(*.f64 z (/.f64 (neg.f64 y) t))
(*.f64 y (neg.f64 (/.f64 z t)))
(*.f64 -1 (/.f64 (*.f64 y z) t))
(neg.f64 (/.f64 y (/.f64 t z)))
(/.f64 (neg.f64 (*.f64 y z)) t)
(*.f64 (neg.f64 (/.f64 y t)) z)
(*.f64 z (/.f64 (neg.f64 y) t))
(*.f64 y (neg.f64 (/.f64 z t)))
(*.f64 -1 (/.f64 (*.f64 y z) t))
(neg.f64 (/.f64 y (/.f64 t z)))
(/.f64 (neg.f64 (*.f64 y z)) t)
(*.f64 (neg.f64 (/.f64 y t)) z)
(*.f64 z (/.f64 (neg.f64 y) t))
(*.f64 y (neg.f64 (/.f64 z t)))
(*.f64 -1 (/.f64 (*.f64 y z) t))
(neg.f64 (/.f64 y (/.f64 t z)))
(/.f64 (neg.f64 (*.f64 y z)) t)
(*.f64 (neg.f64 (/.f64 y t)) z)
(*.f64 z (/.f64 (neg.f64 y) t))
(*.f64 y (neg.f64 (/.f64 z t)))
(*.f64 -1 (/.f64 (*.f64 y z) t))
(neg.f64 (/.f64 y (/.f64 t z)))
(/.f64 (neg.f64 (*.f64 y z)) t)
(*.f64 (neg.f64 (/.f64 y t)) z)
(*.f64 z (/.f64 (neg.f64 y) t))
(*.f64 y (neg.f64 (/.f64 z t)))
(*.f64 -1 (/.f64 (*.f64 y z) t))
(neg.f64 (/.f64 y (/.f64 t z)))
(/.f64 (neg.f64 (*.f64 y z)) t)
(*.f64 (neg.f64 (/.f64 y t)) z)
(*.f64 z (/.f64 (neg.f64 y) t))
(*.f64 y (neg.f64 (/.f64 z t)))
(*.f64 -1 (/.f64 (*.f64 y z) t))
(neg.f64 (/.f64 y (/.f64 t z)))
(/.f64 (neg.f64 (*.f64 y z)) t)
(*.f64 (neg.f64 (/.f64 y t)) z)
(*.f64 z (/.f64 (neg.f64 y) t))
(*.f64 y (neg.f64 (/.f64 z t)))
(*.f64 -1 (/.f64 (*.f64 y z) t))
(neg.f64 (/.f64 y (/.f64 t z)))
(/.f64 (neg.f64 (*.f64 y z)) t)
(*.f64 (neg.f64 (/.f64 y t)) z)
(*.f64 z (/.f64 (neg.f64 y) t))
(*.f64 y (neg.f64 (/.f64 z t)))
(*.f64 -1 (/.f64 (*.f64 y z) t))
(neg.f64 (/.f64 y (/.f64 t z)))
(/.f64 (neg.f64 (*.f64 y z)) t)
(*.f64 (neg.f64 (/.f64 y t)) z)
(*.f64 z (/.f64 (neg.f64 y) t))
(*.f64 y (neg.f64 (/.f64 z t)))
(*.f64 -1 (/.f64 (*.f64 y z) t))
(neg.f64 (/.f64 y (/.f64 t z)))
(/.f64 (neg.f64 (*.f64 y z)) t)
(*.f64 (neg.f64 (/.f64 y t)) z)
(*.f64 z (/.f64 (neg.f64 y) t))
(*.f64 y (neg.f64 (/.f64 z t)))
(*.f64 -1 (/.f64 (*.f64 y z) t))
(neg.f64 (/.f64 y (/.f64 t z)))
(/.f64 (neg.f64 (*.f64 y z)) t)
(*.f64 (neg.f64 (/.f64 y t)) z)
(*.f64 z (/.f64 (neg.f64 y) t))
(*.f64 y (neg.f64 (/.f64 z t)))
(*.f64 -1 (/.f64 (*.f64 y z) t))
(neg.f64 (/.f64 y (/.f64 t z)))
(/.f64 (neg.f64 (*.f64 y z)) t)
(*.f64 (neg.f64 (/.f64 y t)) z)
(*.f64 z (/.f64 (neg.f64 y) t))
(*.f64 y (neg.f64 (/.f64 z t)))
(*.f64 -1 (/.f64 (*.f64 y z) t))
(neg.f64 (/.f64 y (/.f64 t z)))
(/.f64 (neg.f64 (*.f64 y z)) t)
(*.f64 (neg.f64 (/.f64 y t)) z)
(*.f64 z (/.f64 (neg.f64 y) t))
(*.f64 y (neg.f64 (/.f64 z t)))
(*.f64 -1 (/.f64 (*.f64 y z) t))
(neg.f64 (/.f64 y (/.f64 t z)))
(/.f64 (neg.f64 (*.f64 y z)) t)
(*.f64 (neg.f64 (/.f64 y t)) z)
(*.f64 z (/.f64 (neg.f64 y) t))
(*.f64 y (neg.f64 (/.f64 z t)))
(*.f64 -1 (/.f64 (*.f64 y z) t))
(neg.f64 (/.f64 y (/.f64 t z)))
(/.f64 (neg.f64 (*.f64 y z)) t)
(*.f64 (neg.f64 (/.f64 y t)) z)
(*.f64 z (/.f64 (neg.f64 y) t))
(*.f64 y (neg.f64 (/.f64 z t)))
(*.f64 -1 (/.f64 (*.f64 y z) t))
(neg.f64 (/.f64 y (/.f64 t z)))
(/.f64 (neg.f64 (*.f64 y z)) t)
(*.f64 (neg.f64 (/.f64 y t)) z)
(*.f64 z (/.f64 (neg.f64 y) t))
(*.f64 y (neg.f64 (/.f64 z t)))
(*.f64 -1 (/.f64 (*.f64 y z) t))
(neg.f64 (/.f64 y (/.f64 t z)))
(/.f64 (neg.f64 (*.f64 y z)) t)
(*.f64 (neg.f64 (/.f64 y t)) z)
(*.f64 z (/.f64 (neg.f64 y) t))
(*.f64 y (neg.f64 (/.f64 z t)))
(*.f64 -1 (/.f64 (*.f64 y z) t))
(neg.f64 (/.f64 y (/.f64 t z)))
(/.f64 (neg.f64 (*.f64 y z)) t)
(*.f64 (neg.f64 (/.f64 y t)) z)
(*.f64 z (/.f64 (neg.f64 y) t))
(*.f64 y (neg.f64 (/.f64 z t)))
(*.f64 -1 (/.f64 (*.f64 y z) t))
(neg.f64 (/.f64 y (/.f64 t z)))
(/.f64 (neg.f64 (*.f64 y z)) t)
(*.f64 (neg.f64 (/.f64 y t)) z)
(*.f64 z (/.f64 (neg.f64 y) t))
(*.f64 y (neg.f64 (/.f64 z t)))
(*.f64 -1 (/.f64 (*.f64 y z) t))
(neg.f64 (/.f64 y (/.f64 t z)))
(/.f64 (neg.f64 (*.f64 y z)) t)
(*.f64 (neg.f64 (/.f64 y t)) z)
(*.f64 z (/.f64 (neg.f64 y) t))
(*.f64 y (neg.f64 (/.f64 z t)))

localize8.0ms (0%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(-.f64 x (/.f64 z (/.f64 t y)))
✓4.5b
(/.f64 z (/.f64 t y))
Compiler

Compiled 23 to 7 computations (69.6% saved)

series35.0ms (0.2%)

Counts
2 → 84
Calls

21 calls:

TimeVariablePointExpression
29.0ms
t
@-inf
(/.f64 z (/.f64 t y))
0.0ms
y
@0
(/.f64 z (/.f64 t y))
0.0ms
z
@0
(/.f64 z (/.f64 t y))
0.0ms
z
@inf
(/.f64 z (/.f64 t y))
0.0ms
x
@0
(-.f64 x (/.f64 z (/.f64 t y)))

rewrite111.0ms (0.5%)

Algorithm
1×batch-egg-rewrite
Rules
710×prod-diff_binary64
534×log-prod_binary64
305×pow-prod-down_binary64
260×pow2_binary64
226×fma-def_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0817
118217
2281317
Stop Event
1×node limit
Counts
2 → 253
Calls
Call 1
Inputs
(/.f64 z (/.f64 t y))
(-.f64 x (/.f64 z (/.f64 t y)))
Outputs
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simplify76.0ms (0.4%)

Algorithm
1×egg-herbie
Rules
365×fma-def_binary64
220×fma-neg_binary64
81×cancel-sign-sub-inv_binary64
54×associate-/l*_binary64
44×distribute-rgt-in_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
010708
119672
241672
380672
4141672
5214672
6300672
7378672
8482672
9747672
101170672
111326672
121445672
131450672
Stop Event
1×saturated
Counts
337 → 259
Calls
Call 1
Inputs
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
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(*.f64 -1 (/.f64 (*.f64 y z) t))
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(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
x
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
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(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
x
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
x
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(*.f64 -1 (/.f64 (*.f64 y z) t))
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(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(*.f64 -1 (/.f64 (*.f64 y z) t))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
Outputs
(/.f64 (*.f64 y z) t)
(/.f64 y (/.f64 t z))
(*.f64 (/.f64 y t) z)
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(/.f64 (*.f64 y z) t)
(/.f64 y (/.f64 t z))
(*.f64 (/.f64 y t) z)
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(/.f64 (*.f64 y z) t)
(/.f64 y (/.f64 t z))
(*.f64 (/.f64 y t) z)
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(/.f64 (*.f64 y z) t)
(/.f64 y (/.f64 t z))
(*.f64 (/.f64 y t) z)
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(/.f64 (*.f64 y z) t)
(/.f64 y (/.f64 t z))
(*.f64 (/.f64 y t) z)
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(/.f64 (*.f64 y z) t)
(/.f64 y (/.f64 t z))
(*.f64 (/.f64 y t) z)
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(/.f64 (*.f64 y z) t)
(/.f64 y (/.f64 t z))
(*.f64 (/.f64 y t) z)
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(/.f64 (*.f64 y z) t)
(/.f64 y (/.f64 t z))
(*.f64 (/.f64 y t) z)
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(/.f64 (*.f64 y z) t)
(/.f64 y (/.f64 t z))
(*.f64 (/.f64 y t) z)
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(/.f64 (*.f64 y z) t)
(/.f64 y (/.f64 t z))
(*.f64 (/.f64 y t) z)
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(/.f64 (*.f64 y z) t)
(/.f64 y (/.f64 t z))
(*.f64 (/.f64 y t) z)
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(/.f64 (*.f64 y z) t)
(/.f64 y (/.f64 t z))
(*.f64 (/.f64 y t) z)
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(/.f64 (*.f64 y z) t)
(/.f64 y (/.f64 t z))
(*.f64 (/.f64 y t) z)
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(/.f64 (*.f64 y z) t)
(/.f64 y (/.f64 t z))
(*.f64 (/.f64 y t) z)
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(/.f64 (*.f64 y z) t)
(/.f64 y (/.f64 t z))
(*.f64 (/.f64 y t) z)
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(/.f64 (*.f64 y z) t)
(/.f64 y (/.f64 t z))
(*.f64 (/.f64 y t) z)
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(/.f64 (*.f64 y z) t)
(/.f64 y (/.f64 t z))
(*.f64 (/.f64 y t) z)
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(/.f64 (*.f64 y z) t)
(/.f64 y (/.f64 t z))
(*.f64 (/.f64 y t) z)
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(/.f64 (*.f64 y z) t)
(/.f64 y (/.f64 t z))
(*.f64 (/.f64 y t) z)
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(/.f64 (*.f64 y z) t)
(/.f64 y (/.f64 t z))
(*.f64 (/.f64 y t) z)
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(/.f64 (*.f64 y z) t)
(/.f64 y (/.f64 t z))
(*.f64 (/.f64 y t) z)
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(/.f64 (*.f64 y z) t)
(/.f64 y (/.f64 t z))
(*.f64 (/.f64 y t) z)
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(/.f64 (*.f64 y z) t)
(/.f64 y (/.f64 t z))
(*.f64 (/.f64 y t) z)
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(/.f64 (*.f64 y z) t)
(/.f64 y (/.f64 t z))
(*.f64 (/.f64 y t) z)
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(/.f64 (*.f64 y z) t)
(/.f64 y (/.f64 t z))
(*.f64 (/.f64 y t) z)
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(/.f64 (*.f64 y z) t)
(/.f64 y (/.f64 t z))
(*.f64 (/.f64 y t) z)
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(/.f64 (*.f64 y z) t)
(/.f64 y (/.f64 t z))
(*.f64 (/.f64 y t) z)
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(/.f64 (*.f64 y z) t)
(/.f64 y (/.f64 t z))
(*.f64 (/.f64 y t) z)
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(/.f64 (*.f64 y z) t)
(/.f64 y (/.f64 t z))
(*.f64 (/.f64 y t) z)
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(/.f64 (*.f64 y z) t)
(/.f64 y (/.f64 t z))
(*.f64 (/.f64 y t) z)
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(/.f64 (*.f64 y z) t)
(/.f64 y (/.f64 t z))
(*.f64 (/.f64 y t) z)
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(/.f64 (*.f64 y z) t)
(/.f64 y (/.f64 t z))
(*.f64 (/.f64 y t) z)
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(/.f64 (*.f64 y z) t)
(/.f64 y (/.f64 t z))
(*.f64 (/.f64 y t) z)
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(/.f64 (*.f64 y z) t)
(/.f64 y (/.f64 t z))
(*.f64 (/.f64 y t) z)
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(/.f64 (*.f64 y z) t)
(/.f64 y (/.f64 t z))
(*.f64 (/.f64 y t) z)
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(/.f64 (*.f64 y z) t)
(/.f64 y (/.f64 t z))
(*.f64 (/.f64 y t) z)
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(*.f64 -1 (/.f64 (*.f64 y z) t))
(neg.f64 (/.f64 y (/.f64 t z)))
(/.f64 (neg.f64 (*.f64 y z)) t)
(/.f64 (neg.f64 y) (/.f64 t z))
(*.f64 y (/.f64 (neg.f64 z) t))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(fma.f64 -1 (/.f64 y (/.f64 t z)) x)
(-.f64 x (*.f64 (/.f64 y t) z))
(-.f64 x (*.f64 z (/.f64 y t)))
(-.f64 x (*.f64 y (/.f64 z t)))
(-.f64 x (/.f64 (*.f64 y z) t))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(fma.f64 -1 (/.f64 y (/.f64 t z)) x)
(-.f64 x (*.f64 (/.f64 y t) z))
(-.f64 x (*.f64 z (/.f64 y t)))
(-.f64 x (*.f64 y (/.f64 z t)))
(-.f64 x (/.f64 (*.f64 y z) t))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(fma.f64 -1 (/.f64 y (/.f64 t z)) x)
(-.f64 x (*.f64 (/.f64 y t) z))
(-.f64 x (*.f64 z (/.f64 y t)))
(-.f64 x (*.f64 y (/.f64 z t)))
(-.f64 x (/.f64 (*.f64 y z) t))
x
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(fma.f64 -1 (/.f64 y (/.f64 t z)) x)
(-.f64 x (*.f64 (/.f64 y t) z))
(-.f64 x (*.f64 z (/.f64 y t)))
(-.f64 x (*.f64 y (/.f64 z t)))
(-.f64 x (/.f64 (*.f64 y z) t))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(fma.f64 -1 (/.f64 y (/.f64 t z)) x)
(-.f64 x (*.f64 (/.f64 y t) z))
(-.f64 x (*.f64 z (/.f64 y t)))
(-.f64 x (*.f64 y (/.f64 z t)))
(-.f64 x (/.f64 (*.f64 y z) t))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(fma.f64 -1 (/.f64 y (/.f64 t z)) x)
(-.f64 x (*.f64 (/.f64 y t) z))
(-.f64 x (*.f64 z (/.f64 y t)))
(-.f64 x (*.f64 y (/.f64 z t)))
(-.f64 x (/.f64 (*.f64 y z) t))
x
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(fma.f64 -1 (/.f64 y (/.f64 t z)) x)
(-.f64 x (*.f64 (/.f64 y t) z))
(-.f64 x (*.f64 z (/.f64 y t)))
(-.f64 x (*.f64 y (/.f64 z t)))
(-.f64 x (/.f64 (*.f64 y z) t))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(fma.f64 -1 (/.f64 y (/.f64 t z)) x)
(-.f64 x (*.f64 (/.f64 y t) z))
(-.f64 x (*.f64 z (/.f64 y t)))
(-.f64 x (*.f64 y (/.f64 z t)))
(-.f64 x (/.f64 (*.f64 y z) t))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(fma.f64 -1 (/.f64 y (/.f64 t z)) x)
(-.f64 x (*.f64 (/.f64 y t) z))
(-.f64 x (*.f64 z (/.f64 y t)))
(-.f64 x (*.f64 y (/.f64 z t)))
(-.f64 x (/.f64 (*.f64 y z) t))
x
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(fma.f64 -1 (/.f64 y (/.f64 t z)) x)
(-.f64 x (*.f64 (/.f64 y t) z))
(-.f64 x (*.f64 z (/.f64 y t)))
(-.f64 x (*.f64 y (/.f64 z t)))
(-.f64 x (/.f64 (*.f64 y z) t))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(fma.f64 -1 (/.f64 y (/.f64 t z)) x)
(-.f64 x (*.f64 (/.f64 y t) z))
(-.f64 x (*.f64 z (/.f64 y t)))
(-.f64 x (*.f64 y (/.f64 z t)))
(-.f64 x (/.f64 (*.f64 y z) t))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(fma.f64 -1 (/.f64 y (/.f64 t z)) x)
(-.f64 x (*.f64 (/.f64 y t) z))
(-.f64 x (*.f64 z (/.f64 y t)))
(-.f64 x (*.f64 y (/.f64 z t)))
(-.f64 x (/.f64 (*.f64 y z) t))
(*.f64 -1 (/.f64 (*.f64 y z) t))
(neg.f64 (/.f64 y (/.f64 t z)))
(/.f64 (neg.f64 (*.f64 y z)) t)
(/.f64 (neg.f64 y) (/.f64 t z))
(*.f64 y (/.f64 (neg.f64 z) t))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(fma.f64 -1 (/.f64 y (/.f64 t z)) x)
(-.f64 x (*.f64 (/.f64 y t) z))
(-.f64 x (*.f64 z (/.f64 y t)))
(-.f64 x (*.f64 y (/.f64 z t)))
(-.f64 x (/.f64 (*.f64 y z) t))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(fma.f64 -1 (/.f64 y (/.f64 t z)) x)
(-.f64 x (*.f64 (/.f64 y t) z))
(-.f64 x (*.f64 z (/.f64 y t)))
(-.f64 x (*.f64 y (/.f64 z t)))
(-.f64 x (/.f64 (*.f64 y z) t))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(fma.f64 -1 (/.f64 y (/.f64 t z)) x)
(-.f64 x (*.f64 (/.f64 y t) z))
(-.f64 x (*.f64 z (/.f64 y t)))
(-.f64 x (*.f64 y (/.f64 z t)))
(-.f64 x (/.f64 (*.f64 y z) t))
(*.f64 -1 (/.f64 (*.f64 y z) t))
(neg.f64 (/.f64 y (/.f64 t z)))
(/.f64 (neg.f64 (*.f64 y z)) t)
(/.f64 (neg.f64 y) (/.f64 t z))
(*.f64 y (/.f64 (neg.f64 z) t))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(fma.f64 -1 (/.f64 y (/.f64 t z)) x)
(-.f64 x (*.f64 (/.f64 y t) z))
(-.f64 x (*.f64 z (/.f64 y t)))
(-.f64 x (*.f64 y (/.f64 z t)))
(-.f64 x (/.f64 (*.f64 y z) t))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(fma.f64 -1 (/.f64 y (/.f64 t z)) x)
(-.f64 x (*.f64 (/.f64 y t) z))
(-.f64 x (*.f64 z (/.f64 y t)))
(-.f64 x (*.f64 y (/.f64 z t)))
(-.f64 x (/.f64 (*.f64 y z) t))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(fma.f64 -1 (/.f64 y (/.f64 t z)) x)
(-.f64 x (*.f64 (/.f64 y t) z))
(-.f64 x (*.f64 z (/.f64 y t)))
(-.f64 x (*.f64 y (/.f64 z t)))
(-.f64 x (/.f64 (*.f64 y z) t))
(*.f64 -1 (/.f64 (*.f64 y z) t))
(neg.f64 (/.f64 y (/.f64 t z)))
(/.f64 (neg.f64 (*.f64 y z)) t)
(/.f64 (neg.f64 y) (/.f64 t z))
(*.f64 y (/.f64 (neg.f64 z) t))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(fma.f64 -1 (/.f64 y (/.f64 t z)) x)
(-.f64 x (*.f64 (/.f64 y t) z))
(-.f64 x (*.f64 z (/.f64 y t)))
(-.f64 x (*.f64 y (/.f64 z t)))
(-.f64 x (/.f64 (*.f64 y z) t))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(fma.f64 -1 (/.f64 y (/.f64 t z)) x)
(-.f64 x (*.f64 (/.f64 y t) z))
(-.f64 x (*.f64 z (/.f64 y t)))
(-.f64 x (*.f64 y (/.f64 z t)))
(-.f64 x (/.f64 (*.f64 y z) t))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(fma.f64 -1 (/.f64 y (/.f64 t z)) x)
(-.f64 x (*.f64 (/.f64 y t) z))
(-.f64 x (*.f64 z (/.f64 y t)))
(-.f64 x (*.f64 y (/.f64 z t)))
(-.f64 x (/.f64 (*.f64 y z) t))
x
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(fma.f64 -1 (/.f64 y (/.f64 t z)) x)
(-.f64 x (*.f64 (/.f64 y t) z))
(-.f64 x (*.f64 z (/.f64 y t)))
(-.f64 x (*.f64 y (/.f64 z t)))
(-.f64 x (/.f64 (*.f64 y z) t))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(fma.f64 -1 (/.f64 y (/.f64 t z)) x)
(-.f64 x (*.f64 (/.f64 y t) z))
(-.f64 x (*.f64 z (/.f64 y t)))
(-.f64 x (*.f64 y (/.f64 z t)))
(-.f64 x (/.f64 (*.f64 y z) t))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(fma.f64 -1 (/.f64 y (/.f64 t z)) x)
(-.f64 x (*.f64 (/.f64 y t) z))
(-.f64 x (*.f64 z (/.f64 y t)))
(-.f64 x (*.f64 y (/.f64 z t)))
(-.f64 x (/.f64 (*.f64 y z) t))
x
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(fma.f64 -1 (/.f64 y (/.f64 t z)) x)
(-.f64 x (*.f64 (/.f64 y t) z))
(-.f64 x (*.f64 z (/.f64 y t)))
(-.f64 x (*.f64 y (/.f64 z t)))
(-.f64 x (/.f64 (*.f64 y z) t))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(fma.f64 -1 (/.f64 y (/.f64 t z)) x)
(-.f64 x (*.f64 (/.f64 y t) z))
(-.f64 x (*.f64 z (/.f64 y t)))
(-.f64 x (*.f64 y (/.f64 z t)))
(-.f64 x (/.f64 (*.f64 y z) t))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(fma.f64 -1 (/.f64 y (/.f64 t z)) x)
(-.f64 x (*.f64 (/.f64 y t) z))
(-.f64 x (*.f64 z (/.f64 y t)))
(-.f64 x (*.f64 y (/.f64 z t)))
(-.f64 x (/.f64 (*.f64 y z) t))
x
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(fma.f64 -1 (/.f64 y (/.f64 t z)) x)
(-.f64 x (*.f64 (/.f64 y t) z))
(-.f64 x (*.f64 z (/.f64 y t)))
(-.f64 x (*.f64 y (/.f64 z t)))
(-.f64 x (/.f64 (*.f64 y z) t))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(fma.f64 -1 (/.f64 y (/.f64 t z)) x)
(-.f64 x (*.f64 (/.f64 y t) z))
(-.f64 x (*.f64 z (/.f64 y t)))
(-.f64 x (*.f64 y (/.f64 z t)))
(-.f64 x (/.f64 (*.f64 y z) t))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(fma.f64 -1 (/.f64 y (/.f64 t z)) x)
(-.f64 x (*.f64 (/.f64 y t) z))
(-.f64 x (*.f64 z (/.f64 y t)))
(-.f64 x (*.f64 y (/.f64 z t)))
(-.f64 x (/.f64 (*.f64 y z) t))
(*.f64 -1 (/.f64 (*.f64 y z) t))
(neg.f64 (/.f64 y (/.f64 t z)))
(/.f64 (neg.f64 (*.f64 y z)) t)
(/.f64 (neg.f64 y) (/.f64 t z))
(*.f64 y (/.f64 (neg.f64 z) t))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(fma.f64 -1 (/.f64 y (/.f64 t z)) x)
(-.f64 x (*.f64 (/.f64 y t) z))
(-.f64 x (*.f64 z (/.f64 y t)))
(-.f64 x (*.f64 y (/.f64 z t)))
(-.f64 x (/.f64 (*.f64 y z) t))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(fma.f64 -1 (/.f64 y (/.f64 t z)) x)
(-.f64 x (*.f64 (/.f64 y t) z))
(-.f64 x (*.f64 z (/.f64 y t)))
(-.f64 x (*.f64 y (/.f64 z t)))
(-.f64 x (/.f64 (*.f64 y z) t))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(fma.f64 -1 (/.f64 y (/.f64 t z)) x)
(-.f64 x (*.f64 (/.f64 y t) z))
(-.f64 x (*.f64 z (/.f64 y t)))
(-.f64 x (*.f64 y (/.f64 z t)))
(-.f64 x (/.f64 (*.f64 y z) t))
(*.f64 -1 (/.f64 (*.f64 y z) t))
(neg.f64 (/.f64 y (/.f64 t z)))
(/.f64 (neg.f64 (*.f64 y z)) t)
(/.f64 (neg.f64 y) (/.f64 t z))
(*.f64 y (/.f64 (neg.f64 z) t))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(fma.f64 -1 (/.f64 y (/.f64 t z)) x)
(-.f64 x (*.f64 (/.f64 y t) z))
(-.f64 x (*.f64 z (/.f64 y t)))
(-.f64 x (*.f64 y (/.f64 z t)))
(-.f64 x (/.f64 (*.f64 y z) t))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(fma.f64 -1 (/.f64 y (/.f64 t z)) x)
(-.f64 x (*.f64 (/.f64 y t) z))
(-.f64 x (*.f64 z (/.f64 y t)))
(-.f64 x (*.f64 y (/.f64 z t)))
(-.f64 x (/.f64 (*.f64 y z) t))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(fma.f64 -1 (/.f64 y (/.f64 t z)) x)
(-.f64 x (*.f64 (/.f64 y t) z))
(-.f64 x (*.f64 z (/.f64 y t)))
(-.f64 x (*.f64 y (/.f64 z t)))
(-.f64 x (/.f64 (*.f64 y z) t))

localize21.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(/.f64 (neg.f64 (*.f64 (-.f64 (exp.f64 z) 1) y)) t)
✓2.7b
(-.f64 (exp.f64 z) 1)
Compiler

Compiled 36 to 20 computations (44.4% saved)

series8.0ms (0%)

Counts
2 → 40
Calls

12 calls:

TimeVariablePointExpression
1.0ms
y
@inf
(/.f64 (neg.f64 (*.f64 (-.f64 (exp.f64 z) 1) y)) t)
1.0ms
z
@inf
(/.f64 (neg.f64 (*.f64 (-.f64 (exp.f64 z) 1) y)) t)
1.0ms
z
@-inf
(/.f64 (neg.f64 (*.f64 (-.f64 (exp.f64 z) 1) y)) t)
1.0ms
t
@0
(/.f64 (neg.f64 (*.f64 (-.f64 (exp.f64 z) 1) y)) t)
1.0ms
t
@inf
(/.f64 (neg.f64 (*.f64 (-.f64 (exp.f64 z) 1) y)) t)

rewrite87.0ms (0.4%)

Algorithm
1×batch-egg-rewrite
Rules
511×log-prod_binary64
390×exp-prod_binary64
288×pow-prod-down_binary64
238×pow2_binary64
222×pow-unpow_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01014
121212
2296512
Stop Event
1×node limit
Counts
2 → 116
Calls
Call 1
Inputs
(-.f64 (exp.f64 z) 1)
(/.f64 (neg.f64 (*.f64 (-.f64 (exp.f64 z) 1) y)) t)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 z) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (expm1.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (exp.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (expm1.f64 z))) 2)) (log.f64 (cbrt.f64 (exp.f64 (expm1.f64 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (expm1.f64 z)))) (log.f64 (sqrt.f64 (exp.f64 (expm1.f64 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (expm1.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (expm1.f64 z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (expm1.f64 z)) (pow.f64 (cbrt.f64 (expm1.f64 z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (expm1.f64 z)) 2) (cbrt.f64 (expm1.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (expm1.f64 z)) (sqrt.f64 (expm1.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (expm1.f64 (*.f64 3 z)) (/.f64 1 (+.f64 (pow.f64 (exp.f64 z) 2) (+.f64 (exp.f64 z) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (expm1.f64 (+.f64 z z)) (/.f64 1 (+.f64 (exp.f64 z) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (exp.f64 z)) 1) (expm1.f64 (*.f64 1/2 z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (exp.f64 z) 2) (+.f64 (exp.f64 z) 1)) (expm1.f64 (*.f64 3 z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (exp.f64 z) 1) (expm1.f64 (+.f64 z z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (expm1.f64 (*.f64 3 z)) (+.f64 (pow.f64 (exp.f64 z) 2) (+.f64 (exp.f64 z) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (expm1.f64 (*.f64 3 z)) (+.f64 (pow.f64 (exp.f64 z) 2) (-.f64 1 (*.f64 (exp.f64 z) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (expm1.f64 (+.f64 z z)) (+.f64 (exp.f64 z) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (expm1.f64 (*.f64 3 z))) (neg.f64 (+.f64 (pow.f64 (exp.f64 z) 2) (+.f64 (exp.f64 z) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (expm1.f64 (+.f64 z z))) (neg.f64 (+.f64 (exp.f64 z) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (expm1.f64 z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (expm1.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (expm1.f64 z) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (expm1.f64 z) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (expm1.f64 z)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (expm1.f64 z)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 z) 2) (+.f64 (exp.f64 z) 1)) (expm1.f64 (*.f64 3 z))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 (exp.f64 z) 1) (expm1.f64 (+.f64 z z))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (expm1.f64 z))) 2)) (cbrt.f64 (log.f64 (expm1.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (expm1.f64 z)))) (sqrt.f64 (log.f64 (expm1.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (expm1.f64 z) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (expm1.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (expm1.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (expm1.f64 z) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 z)))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (expm1.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (expm1.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (expm1.f64 z)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (expm1.f64 z))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (expm1.f64 z))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (expm1.f64 z))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (expm1.f64 z)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (exp.f64 z) 1 -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (exp.f64 z) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (exp.f64 z)) (cbrt.f64 (pow.f64 (exp.f64 z) 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (exp.f64 z) 2)) (cbrt.f64 (exp.f64 z)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (exp.f64 z) 2)) (*.f64 (cbrt.f64 (exp.f64 z)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (exp.f64 z)) (sqrt.f64 (exp.f64 z)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (exp.f64 z)) (*.f64 (sqrt.f64 (exp.f64 z)) 1) -1)))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (expm1.f64 z) (/.f64 t y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (expm1.f64 z) (/.f64 t y)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (expm1.f64 z) (/.f64 t y))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (expm1.f64 z) (/.f64 t y))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (expm1.f64 z) (/.f64 t y))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 (expm1.f64 z) (/.f64 t y)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (expm1.f64 z) (/.f64 t y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 0 t) (/.f64 (expm1.f64 z) (/.f64 t y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (expm1.f64 z) (/.f64 t y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (expm1.f64 z) (*.f64 (neg.f64 y) (/.f64 1 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (expm1.f64 z) y) (/.f64 1 t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (expm1.f64 z) y) (/.f64 1 (neg.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (expm1.f64 z) (/.f64 t y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 (expm1.f64 z) y) 2)) (*.f64 (cbrt.f64 (*.f64 (expm1.f64 z) y)) (/.f64 1 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (expm1.f64 z) (/.f64 t y))) (cbrt.f64 (pow.f64 (/.f64 (expm1.f64 z) (/.f64 t y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 (expm1.f64 z) (/.f64 t y)) 2)) (cbrt.f64 (/.f64 (expm1.f64 z) (/.f64 t y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (expm1.f64 z) y)) (*.f64 (sqrt.f64 (*.f64 (expm1.f64 z) y)) (/.f64 1 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (expm1.f64 z) (/.f64 t y))) (sqrt.f64 (/.f64 (expm1.f64 z) (/.f64 t y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 t) (*.f64 (expm1.f64 z) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (expm1.f64 z) (/.f64 t y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (expm1.f64 z)) (*.f64 y (/.f64 1 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (expm1.f64 z) 1) (/.f64 (neg.f64 y) t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (expm1.f64 z) 1) (/.f64 y t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 (expm1.f64 z) y) 2)) 1) (/.f64 (cbrt.f64 (*.f64 (expm1.f64 z) y)) t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 (expm1.f64 z) y)) 1) (/.f64 (sqrt.f64 (*.f64 (expm1.f64 z) y)) t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (neg.f64 (expm1.f64 z)) 1) (/.f64 y t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 t) -2) (/.f64 (*.f64 (expm1.f64 z) y) (cbrt.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (expm1.f64 z) (cbrt.f64 (*.f64 t t))) (/.f64 (neg.f64 y) (cbrt.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (expm1.f64 z) (cbrt.f64 (*.f64 t t))) (/.f64 y (cbrt.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 (expm1.f64 z) y) 2)) (cbrt.f64 (*.f64 t t))) (cbrt.f64 (/.f64 (expm1.f64 z) (/.f64 t y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 (expm1.f64 z) y)) (cbrt.f64 (*.f64 t t))) (/.f64 (sqrt.f64 (*.f64 (expm1.f64 z) y)) (cbrt.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (cbrt.f64 (*.f64 t t))) (/.f64 (*.f64 (expm1.f64 z) y) (cbrt.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (neg.f64 (expm1.f64 z)) (cbrt.f64 (*.f64 t t))) (/.f64 y (cbrt.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 t -1/2) (/.f64 (*.f64 (expm1.f64 z) y) (sqrt.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (expm1.f64 z) (sqrt.f64 t)) (/.f64 (neg.f64 y) (sqrt.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (expm1.f64 z) (sqrt.f64 t)) (/.f64 y (sqrt.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 (expm1.f64 z) y) 2)) (sqrt.f64 t)) (/.f64 (cbrt.f64 (*.f64 (expm1.f64 z) y)) (sqrt.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (sqrt.f64 t)) (/.f64 (*.f64 (expm1.f64 z) y) (sqrt.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (neg.f64 (expm1.f64 z)) (sqrt.f64 t)) (/.f64 y (sqrt.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (sqrt.f64 t)) (/.f64 (expm1.f64 z) (sqrt.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y 1) (/.f64 (expm1.f64 z) t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (cbrt.f64 (*.f64 t t))) (/.f64 (expm1.f64 z) (cbrt.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (expm1.f64 z) (/.f64 t y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (/.f64 (expm1.f64 z) (/.f64 t y))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (expm1.f64 z) (/.f64 t y)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (expm1.f64 z) (/.f64 t y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (expm1.f64 z) (/.f64 t y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (expm1.f64 z) (/.f64 t y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 t (*.f64 (expm1.f64 z) y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (*.f64 (expm1.f64 z) y) 3) (pow.f64 t 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 t (*.f64 (expm1.f64 z) y)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (expm1.f64 z) (/.f64 t y)))) 2)) (cbrt.f64 (log.f64 (/.f64 (expm1.f64 z) (/.f64 t y)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 (expm1.f64 z) (/.f64 t y))))) (sqrt.f64 (log.f64 (/.f64 (expm1.f64 z) (/.f64 t y)))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (expm1.f64 z) (/.f64 t y)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (expm1.f64 z) (/.f64 t y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (expm1.f64 z) (/.f64 t y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (expm1.f64 z) (/.f64 t y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 1 (+.f64 1 (expm1.f64 (/.f64 (expm1.f64 z) (/.f64 t y))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (expm1.f64 z) (/.f64 t y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 (expm1.f64 z) y) 3) (pow.f64 t 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (expm1.f64 z) (/.f64 t y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (expm1.f64 z) (/.f64 t y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (expm1.f64 z) (/.f64 t y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (expm1.f64 z) (/.f64 t y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 (expm1.f64 z) (/.f64 t y)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (expm1.f64 z) (/.f64 t y)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (expm1.f64 z) (/.f64 t y)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 t (*.f64 (expm1.f64 z) y))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (expm1.f64 z) (/.f64 t y))) 1) 1))))))

simplify70.0ms (0.3%)

Algorithm
1×egg-herbie
Rules
719×cancel-sign-sub-inv_binary64
564×fma-neg_binary64
515×associate-*r*_binary64
512×fma-def_binary64
463×associate-*l*_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
051519
1135512
2348512
31064486
44413468
Stop Event
1×node limit
Counts
156 → 134
Calls
Call 1
Inputs
z
(+.f64 (*.f64 1/2 (pow.f64 z 2)) z)
(+.f64 (*.f64 1/2 (pow.f64 z 2)) (+.f64 z (*.f64 1/6 (pow.f64 z 3))))
(+.f64 (*.f64 1/24 (pow.f64 z 4)) (+.f64 (*.f64 1/2 (pow.f64 z 2)) (+.f64 z (*.f64 1/6 (pow.f64 z 3)))))
(*.f64 -1 (/.f64 (*.f64 y z) t))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) (*.f64 -1/2 (/.f64 (*.f64 y (pow.f64 z 2)) t)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 y (pow.f64 z 2)) t)) (*.f64 -1/6 (/.f64 (*.f64 y (pow.f64 z 3)) t))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 y (pow.f64 z 2)) t)) (+.f64 (*.f64 -1/24 (/.f64 (*.f64 y (pow.f64 z 4)) t)) (*.f64 -1/6 (/.f64 (*.f64 y (pow.f64 z 3)) t)))))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(/.f64 (*.f64 y (-.f64 1 (exp.f64 z))) t)
(/.f64 (*.f64 y (-.f64 1 (exp.f64 z))) t)
(/.f64 (*.f64 y (-.f64 1 (exp.f64 z))) t)
(/.f64 (*.f64 y (-.f64 1 (exp.f64 z))) t)
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
Outputs
z
(+.f64 (*.f64 1/2 (pow.f64 z 2)) z)
(fma.f64 1/2 (*.f64 z z) z)
(fma.f64 z (*.f64 z 1/2) z)
(*.f64 z (fma.f64 z 1/2 1))
(+.f64 (*.f64 1/2 (pow.f64 z 2)) (+.f64 z (*.f64 1/6 (pow.f64 z 3))))
(fma.f64 1/2 (*.f64 z z) (+.f64 z (*.f64 1/6 (pow.f64 z 3))))
(fma.f64 1/2 (*.f64 z z) (fma.f64 1/6 (pow.f64 z 3) z))
(fma.f64 z (*.f64 z 1/2) (fma.f64 1/6 (pow.f64 z 3) z))
(fma.f64 (*.f64 z z) (fma.f64 z 1/6 1/2) z)
(+.f64 (*.f64 1/24 (pow.f64 z 4)) (+.f64 (*.f64 1/2 (pow.f64 z 2)) (+.f64 z (*.f64 1/6 (pow.f64 z 3)))))
(fma.f64 1/24 (pow.f64 z 4) (fma.f64 1/2 (*.f64 z z) (+.f64 z (*.f64 1/6 (pow.f64 z 3)))))
(fma.f64 1/24 (pow.f64 z 4) (fma.f64 1/2 (*.f64 z z) (fma.f64 1/6 (pow.f64 z 3) z)))
(fma.f64 z (*.f64 z 1/2) (fma.f64 1/24 (pow.f64 z 4) (fma.f64 1/6 (pow.f64 z 3) z)))
(fma.f64 (*.f64 z z) (fma.f64 z 1/6 1/2) (fma.f64 1/24 (pow.f64 z 4) z))
(fma.f64 z (*.f64 z (fma.f64 z 1/6 1/2)) (fma.f64 1/24 (pow.f64 z 4) z))
(*.f64 -1 (/.f64 (*.f64 y z) t))
(neg.f64 (/.f64 (*.f64 z y) t))
(/.f64 (neg.f64 (*.f64 z y)) t)
(*.f64 (/.f64 y t) (neg.f64 z))
(*.f64 z (/.f64 (neg.f64 y) t))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) (*.f64 -1/2 (/.f64 (*.f64 y (pow.f64 z 2)) t)))
(fma.f64 -1 (/.f64 (*.f64 z y) t) (*.f64 -1/2 (/.f64 (*.f64 (*.f64 z z) y) t)))
(fma.f64 -1/2 (*.f64 (/.f64 y t) (*.f64 z z)) (/.f64 (neg.f64 (*.f64 z y)) t))
(-.f64 (*.f64 -1/2 (*.f64 (*.f64 z z) (/.f64 y t))) (*.f64 z (/.f64 y t)))
(*.f64 (/.f64 y t) (-.f64 (*.f64 z (*.f64 z -1/2)) z))
(*.f64 (*.f64 y (/.f64 z t)) (-.f64 (*.f64 z -1/2) 1))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 y (pow.f64 z 2)) t)) (*.f64 -1/6 (/.f64 (*.f64 y (pow.f64 z 3)) t))))
(fma.f64 -1 (/.f64 (*.f64 z y) t) (fma.f64 -1/2 (/.f64 (*.f64 (*.f64 z z) y) t) (*.f64 -1/6 (/.f64 (*.f64 (pow.f64 z 3) y) t))))
(-.f64 (fma.f64 -1/2 (*.f64 (/.f64 y t) (*.f64 z z)) (*.f64 -1/6 (*.f64 (/.f64 y t) (pow.f64 z 3)))) (/.f64 (*.f64 z y) t))
(-.f64 (fma.f64 -1/2 (*.f64 (*.f64 z z) (/.f64 y t)) (*.f64 -1/6 (/.f64 (*.f64 (pow.f64 z 3) y) t))) (*.f64 z (/.f64 y t)))
(fma.f64 -1/2 (*.f64 z (/.f64 z (/.f64 t y))) (*.f64 (/.f64 y t) (-.f64 (*.f64 (pow.f64 z 3) -1/6) z)))
(*.f64 (/.f64 y t) (-.f64 (*.f64 (*.f64 z z) (+.f64 -1/2 (*.f64 z -1/6))) z))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 y (pow.f64 z 2)) t)) (+.f64 (*.f64 -1/24 (/.f64 (*.f64 y (pow.f64 z 4)) t)) (*.f64 -1/6 (/.f64 (*.f64 y (pow.f64 z 3)) t)))))
(fma.f64 -1 (/.f64 (*.f64 z y) t) (fma.f64 -1/2 (/.f64 (*.f64 (*.f64 z z) y) t) (fma.f64 -1/24 (/.f64 (*.f64 (pow.f64 z 4) y) t) (*.f64 -1/6 (/.f64 (*.f64 (pow.f64 z 3) y) t)))))
(-.f64 (fma.f64 -1/2 (*.f64 (/.f64 y t) (*.f64 z z)) (fma.f64 -1/6 (*.f64 (/.f64 y t) (pow.f64 z 3)) (*.f64 -1/24 (*.f64 (/.f64 y t) (pow.f64 z 4))))) (/.f64 (*.f64 z y) t))
(-.f64 (fma.f64 -1/2 (*.f64 (*.f64 z z) (/.f64 y t)) (fma.f64 -1/6 (/.f64 (*.f64 (pow.f64 z 3) y) t) (*.f64 -1/24 (*.f64 (/.f64 (pow.f64 z 4) t) y)))) (*.f64 z (/.f64 y t)))
(+.f64 (*.f64 (/.f64 y t) (-.f64 (*.f64 z (*.f64 z -1/2)) z)) (*.f64 (/.f64 y t) (+.f64 (*.f64 (pow.f64 z 3) -1/6) (*.f64 (pow.f64 z 4) -1/24))))
(*.f64 (/.f64 y t) (-.f64 (*.f64 (*.f64 z z) (+.f64 -1/2 (*.f64 z -1/6))) (fma.f64 1/24 (pow.f64 z 4) z)))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(neg.f64 (/.f64 (*.f64 y (expm1.f64 z)) t))
(/.f64 (neg.f64 (*.f64 y (expm1.f64 z))) t)
(*.f64 (neg.f64 (expm1.f64 z)) (/.f64 y t))
(*.f64 y (/.f64 (neg.f64 (expm1.f64 z)) t))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(neg.f64 (/.f64 (*.f64 y (expm1.f64 z)) t))
(/.f64 (neg.f64 (*.f64 y (expm1.f64 z))) t)
(*.f64 (neg.f64 (expm1.f64 z)) (/.f64 y t))
(*.f64 y (/.f64 (neg.f64 (expm1.f64 z)) t))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(neg.f64 (/.f64 (*.f64 y (expm1.f64 z)) t))
(/.f64 (neg.f64 (*.f64 y (expm1.f64 z))) t)
(*.f64 (neg.f64 (expm1.f64 z)) (/.f64 y t))
(*.f64 y (/.f64 (neg.f64 (expm1.f64 z)) t))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(neg.f64 (/.f64 (*.f64 y (expm1.f64 z)) t))
(/.f64 (neg.f64 (*.f64 y (expm1.f64 z))) t)
(*.f64 (neg.f64 (expm1.f64 z)) (/.f64 y t))
(*.f64 y (/.f64 (neg.f64 (expm1.f64 z)) t))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(neg.f64 (/.f64 (*.f64 y (expm1.f64 z)) t))
(/.f64 (neg.f64 (*.f64 y (expm1.f64 z))) t)
(*.f64 (neg.f64 (expm1.f64 z)) (/.f64 y t))
(*.f64 y (/.f64 (neg.f64 (expm1.f64 z)) t))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(neg.f64 (/.f64 (*.f64 y (expm1.f64 z)) t))
(/.f64 (neg.f64 (*.f64 y (expm1.f64 z))) t)
(*.f64 (neg.f64 (expm1.f64 z)) (/.f64 y t))
(*.f64 y (/.f64 (neg.f64 (expm1.f64 z)) t))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(neg.f64 (/.f64 (*.f64 y (expm1.f64 z)) t))
(/.f64 (neg.f64 (*.f64 y (expm1.f64 z))) t)
(*.f64 (neg.f64 (expm1.f64 z)) (/.f64 y t))
(*.f64 y (/.f64 (neg.f64 (expm1.f64 z)) t))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(neg.f64 (/.f64 (*.f64 y (expm1.f64 z)) t))
(/.f64 (neg.f64 (*.f64 y (expm1.f64 z))) t)
(*.f64 (neg.f64 (expm1.f64 z)) (/.f64 y t))
(*.f64 y (/.f64 (neg.f64 (expm1.f64 z)) t))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(neg.f64 (/.f64 (*.f64 y (expm1.f64 z)) t))
(/.f64 (neg.f64 (*.f64 y (expm1.f64 z))) t)
(*.f64 (neg.f64 (expm1.f64 z)) (/.f64 y t))
(*.f64 y (/.f64 (neg.f64 (expm1.f64 z)) t))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(neg.f64 (/.f64 (*.f64 y (expm1.f64 z)) t))
(/.f64 (neg.f64 (*.f64 y (expm1.f64 z))) t)
(*.f64 (neg.f64 (expm1.f64 z)) (/.f64 y t))
(*.f64 y (/.f64 (neg.f64 (expm1.f64 z)) t))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(neg.f64 (/.f64 (*.f64 y (expm1.f64 z)) t))
(/.f64 (neg.f64 (*.f64 y (expm1.f64 z))) t)
(*.f64 (neg.f64 (expm1.f64 z)) (/.f64 y t))
(*.f64 y (/.f64 (neg.f64 (expm1.f64 z)) t))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(neg.f64 (/.f64 (*.f64 y (expm1.f64 z)) t))
(/.f64 (neg.f64 (*.f64 y (expm1.f64 z))) t)
(*.f64 (neg.f64 (expm1.f64 z)) (/.f64 y t))
(*.f64 y (/.f64 (neg.f64 (expm1.f64 z)) t))
(/.f64 (*.f64 y (-.f64 1 (exp.f64 z))) t)
(neg.f64 (/.f64 (*.f64 y (expm1.f64 z)) t))
(/.f64 (neg.f64 (*.f64 y (expm1.f64 z))) t)
(*.f64 (neg.f64 (expm1.f64 z)) (/.f64 y t))
(*.f64 y (/.f64 (neg.f64 (expm1.f64 z)) t))
(/.f64 (*.f64 y (-.f64 1 (exp.f64 z))) t)
(neg.f64 (/.f64 (*.f64 y (expm1.f64 z)) t))
(/.f64 (neg.f64 (*.f64 y (expm1.f64 z))) t)
(*.f64 (neg.f64 (expm1.f64 z)) (/.f64 y t))
(*.f64 y (/.f64 (neg.f64 (expm1.f64 z)) t))
(/.f64 (*.f64 y (-.f64 1 (exp.f64 z))) t)
(neg.f64 (/.f64 (*.f64 y (expm1.f64 z)) t))
(/.f64 (neg.f64 (*.f64 y (expm1.f64 z))) t)
(*.f64 (neg.f64 (expm1.f64 z)) (/.f64 y t))
(*.f64 y (/.f64 (neg.f64 (expm1.f64 z)) t))
(/.f64 (*.f64 y (-.f64 1 (exp.f64 z))) t)
(neg.f64 (/.f64 (*.f64 y (expm1.f64 z)) t))
(/.f64 (neg.f64 (*.f64 y (expm1.f64 z))) t)
(*.f64 (neg.f64 (expm1.f64 z)) (/.f64 y t))
(*.f64 y (/.f64 (neg.f64 (expm1.f64 z)) t))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(neg.f64 (/.f64 (*.f64 y (expm1.f64 z)) t))
(/.f64 (neg.f64 (*.f64 y (expm1.f64 z))) t)
(*.f64 (neg.f64 (expm1.f64 z)) (/.f64 y t))
(*.f64 y (/.f64 (neg.f64 (expm1.f64 z)) t))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(neg.f64 (/.f64 (*.f64 y (expm1.f64 z)) t))
(/.f64 (neg.f64 (*.f64 y (expm1.f64 z))) t)
(*.f64 (neg.f64 (expm1.f64 z)) (/.f64 y t))
(*.f64 y (/.f64 (neg.f64 (expm1.f64 z)) t))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(neg.f64 (/.f64 (*.f64 y (expm1.f64 z)) t))
(/.f64 (neg.f64 (*.f64 y (expm1.f64 z))) t)
(*.f64 (neg.f64 (expm1.f64 z)) (/.f64 y t))
(*.f64 y (/.f64 (neg.f64 (expm1.f64 z)) t))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(neg.f64 (/.f64 (*.f64 y (expm1.f64 z)) t))
(/.f64 (neg.f64 (*.f64 y (expm1.f64 z))) t)
(*.f64 (neg.f64 (expm1.f64 z)) (/.f64 y t))
(*.f64 y (/.f64 (neg.f64 (expm1.f64 z)) t))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(neg.f64 (/.f64 (*.f64 y (expm1.f64 z)) t))
(/.f64 (neg.f64 (*.f64 y (expm1.f64 z))) t)
(*.f64 (neg.f64 (expm1.f64 z)) (/.f64 y t))
(*.f64 y (/.f64 (neg.f64 (expm1.f64 z)) t))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(neg.f64 (/.f64 (*.f64 y (expm1.f64 z)) t))
(/.f64 (neg.f64 (*.f64 y (expm1.f64 z))) t)
(*.f64 (neg.f64 (expm1.f64 z)) (/.f64 y t))
(*.f64 y (/.f64 (neg.f64 (expm1.f64 z)) t))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(neg.f64 (/.f64 (*.f64 y (expm1.f64 z)) t))
(/.f64 (neg.f64 (*.f64 y (expm1.f64 z))) t)
(*.f64 (neg.f64 (expm1.f64 z)) (/.f64 y t))
(*.f64 y (/.f64 (neg.f64 (expm1.f64 z)) t))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(neg.f64 (/.f64 (*.f64 y (expm1.f64 z)) t))
(/.f64 (neg.f64 (*.f64 y (expm1.f64 z))) t)
(*.f64 (neg.f64 (expm1.f64 z)) (/.f64 y t))
(*.f64 y (/.f64 (neg.f64 (expm1.f64 z)) t))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(neg.f64 (/.f64 (*.f64 y (expm1.f64 z)) t))
(/.f64 (neg.f64 (*.f64 y (expm1.f64 z))) t)
(*.f64 (neg.f64 (expm1.f64 z)) (/.f64 y t))
(*.f64 y (/.f64 (neg.f64 (expm1.f64 z)) t))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(neg.f64 (/.f64 (*.f64 y (expm1.f64 z)) t))
(/.f64 (neg.f64 (*.f64 y (expm1.f64 z))) t)
(*.f64 (neg.f64 (expm1.f64 z)) (/.f64 y t))
(*.f64 y (/.f64 (neg.f64 (expm1.f64 z)) t))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(neg.f64 (/.f64 (*.f64 y (expm1.f64 z)) t))
(/.f64 (neg.f64 (*.f64 y (expm1.f64 z))) t)
(*.f64 (neg.f64 (expm1.f64 z)) (/.f64 y t))
(*.f64 y (/.f64 (neg.f64 (expm1.f64 z)) t))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(neg.f64 (/.f64 (*.f64 y (expm1.f64 z)) t))
(/.f64 (neg.f64 (*.f64 y (expm1.f64 z))) t)
(*.f64 (neg.f64 (expm1.f64 z)) (/.f64 y t))
(*.f64 y (/.f64 (neg.f64 (expm1.f64 z)) t))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(neg.f64 (/.f64 (*.f64 y (expm1.f64 z)) t))
(/.f64 (neg.f64 (*.f64 y (expm1.f64 z))) t)
(*.f64 (neg.f64 (expm1.f64 z)) (/.f64 y t))
(*.f64 y (/.f64 (neg.f64 (expm1.f64 z)) t))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(neg.f64 (/.f64 (*.f64 y (expm1.f64 z)) t))
(/.f64 (neg.f64 (*.f64 y (expm1.f64 z))) t)
(*.f64 (neg.f64 (expm1.f64 z)) (/.f64 y t))
(*.f64 y (/.f64 (neg.f64 (expm1.f64 z)) t))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(neg.f64 (/.f64 (*.f64 y (expm1.f64 z)) t))
(/.f64 (neg.f64 (*.f64 y (expm1.f64 z))) t)
(*.f64 (neg.f64 (expm1.f64 z)) (/.f64 y t))
(*.f64 y (/.f64 (neg.f64 (expm1.f64 z)) t))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(neg.f64 (/.f64 (*.f64 y (expm1.f64 z)) t))
(/.f64 (neg.f64 (*.f64 y (expm1.f64 z))) t)
(*.f64 (neg.f64 (expm1.f64 z)) (/.f64 y t))
(*.f64 y (/.f64 (neg.f64 (expm1.f64 z)) t))

eval230.0ms (1.1%)

Compiler

Compiled 15751 to 5082 computations (67.7% saved)

prune247.0ms (1.2%)

Pruning

20 alts after pruning (11 fresh and 9 done)

PrunedKeptTotal
New7196725
Fresh358
Picked101
Done099
Total72320743
Error
0b
Counts
743 → 20
Alt Table
Click to see full alt table
StatusErrorProgram
▶41.5b
(pow.f64 (sqrt.f64 x) 2)
▶16.9b
(-.f64 x (*.f64 z (*.f64 y (/.f64 1 t))))
27.7b
(-.f64 x (/.f64 (fma.f64 z y (*.f64 (*.f64 z z) (*.f64 (-.f64 y (*.f64 y y)) 1/2))) t))
✓0.8b
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))
51.4b
(/.f64 (neg.f64 (*.f64 (expm1.f64 z) y)) t)
✓54.9b
(/.f64 (neg.f64 (*.f64 y z)) t)
✓16.4b
(-.f64 x (/.f64 z (/.f64 t y)))
✓16.3b
(-.f64 x (/.f64 (*.f64 z y) t))
57.9b
(-.f64 x (+.f64 (/.f64 (log.f64 (expm1.f64 z)) t) (/.f64 (log.f64 y) t)))
18.1b
x
▶16.3b
(-.f64 x (*.f64 (/.f64 1 t) (/.f64 z (/.f64 1 y))))
✓9.7b
(-.f64 x (*.f64 (/.f64 y t) (expm1.f64 z)))
45.7b
(*.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (/.f64 1 (neg.f64 t)))
✓55.2b
(*.f64 y (/.f64 (neg.f64 z) t))
▶58.6b
(/.f64 (*.f64 y (-.f64 1 (exp.f64 z))) t)
55.2b
(neg.f64 (/.f64 y (/.f64 t z)))
▶62.4b
(/.f64 y (/.f64 t z))
✓45.6b
(/.f64 (neg.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) t)
✓33.5b
(pow.f64 (sqrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) 2)
✓0.8b
(-.f64 x (*.f64 (/.f64 1 t) (log1p.f64 (*.f64 y (expm1.f64 z)))))
Compiler

Compiled 375 to 265 computations (29.3% saved)

localize34.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(-.f64 x (*.f64 (/.f64 1 t) (/.f64 z (/.f64 1 y))))
✓0.2b
(/.f64 z (/.f64 1 y))
✓5.1b
(*.f64 (/.f64 1 t) (/.f64 z (/.f64 1 y)))
Compiler

Compiled 40 to 25 computations (37.5% saved)

series17.0ms (0.1%)

Counts
3 → 108
Calls

27 calls:

TimeVariablePointExpression
1.0ms
y
@inf
(/.f64 z (/.f64 1 y))
1.0ms
y
@-inf
(/.f64 z (/.f64 1 y))
1.0ms
z
@inf
(/.f64 z (/.f64 1 y))
1.0ms
z
@-inf
(/.f64 z (/.f64 1 y))
1.0ms
t
@0
(*.f64 (/.f64 1 t) (/.f64 z (/.f64 1 y)))

rewrite299.0ms (1.4%)

Algorithm
1×batch-egg-rewrite
Rules
762×prod-diff_binary64
645×log-prod_binary64
241×fma-def_binary64
239×egg-rr
218×expm1-udef_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01130
124721
2360221
Stop Event
1×node limit
Counts
3 → 327
Calls
Call 1
Inputs
(*.f64 (/.f64 1 t) (/.f64 z (/.f64 1 y)))
(/.f64 z (/.f64 1 y))
(-.f64 x (*.f64 (/.f64 1 t) (/.f64 z (/.f64 1 y))))
Outputs
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(2) ((x fma.f64 (*.f64 (/.f64 -1 t) (pow.f64 (cbrt.f64 (*.f64 z y)) 2)) (cbrt.f64 (*.f64 z y)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 -1 t) (sqrt.f64 (*.f64 z y))) (sqrt.f64 (*.f64 z y)) x)))))

simplify84.0ms (0.4%)

Algorithm
1×egg-herbie
Rules
365×fma-def_binary64
220×fma-neg_binary64
81×cancel-sign-sub-inv_binary64
54×associate-/l*_binary64
44×distribute-rgt-in_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
010804
119768
241768
380768
4141768
5214768
6300768
7378768
8482768
9747768
101170768
111326768
121445768
131450768
Stop Event
1×saturated
Counts
435 → 334
Calls
Call 1
Inputs
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(*.f64 y z)
(*.f64 y z)
(*.f64 y z)
(*.f64 y z)
(*.f64 y z)
(*.f64 y z)
(*.f64 y z)
(*.f64 y z)
(*.f64 y z)
(*.f64 y z)
(*.f64 y z)
(*.f64 y z)
(*.f64 y z)
(*.f64 y z)
(*.f64 y z)
(*.f64 y z)
(*.f64 y z)
(*.f64 y z)
(*.f64 y z)
(*.f64 y z)
(*.f64 y z)
(*.f64 y z)
(*.f64 y z)
(*.f64 y z)
(*.f64 -1 (/.f64 (*.f64 y z) t))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
x
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
x
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(*.f64 -1 (/.f64 (*.f64 y z) t))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
x
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
x
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
x
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(*.f64 -1 (/.f64 (*.f64 y z) t))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(*.f64 -1 (/.f64 (*.f64 y z) t))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
x
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(*.f64 -1 (/.f64 (*.f64 y z) t))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(*.f64 -1 (/.f64 (*.f64 y z) t))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
Outputs
(/.f64 (*.f64 y z) t)
(/.f64 y (/.f64 t z))
(*.f64 (/.f64 y t) z)
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(/.f64 (*.f64 y z) t)
(/.f64 y (/.f64 t z))
(*.f64 (/.f64 y t) z)
(*.f64 z (/.f64 y t))
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(/.f64 (*.f64 y z) t)
(/.f64 y (/.f64 t z))
(*.f64 (/.f64 y t) z)
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(/.f64 (*.f64 y z) t)
(/.f64 y (/.f64 t z))
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(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(/.f64 (*.f64 y z) t)
(/.f64 y (/.f64 t z))
(*.f64 (/.f64 y t) z)
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(/.f64 (*.f64 y z) t)
(/.f64 y (/.f64 t z))
(*.f64 (/.f64 y t) z)
(*.f64 z (/.f64 y t))
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(/.f64 (*.f64 y z) t)
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(/.f64 (*.f64 y z) t)
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(*.f64 (/.f64 y t) z)
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(/.f64 (*.f64 y z) t)
(/.f64 y (/.f64 t z))
(*.f64 (/.f64 y t) z)
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(/.f64 (*.f64 y z) t)
(/.f64 y (/.f64 t z))
(*.f64 (/.f64 y t) z)
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(/.f64 (*.f64 y z) t)
(/.f64 y (/.f64 t z))
(*.f64 (/.f64 y t) z)
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(/.f64 (*.f64 y z) t)
(/.f64 y (/.f64 t z))
(*.f64 (/.f64 y t) z)
(*.f64 z (/.f64 y t))
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(/.f64 (*.f64 y z) t)
(/.f64 y (/.f64 t z))
(*.f64 (/.f64 y t) z)
(*.f64 z (/.f64 y t))
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(/.f64 (*.f64 y z) t)
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(*.f64 (/.f64 y t) z)
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(/.f64 (*.f64 y z) t)
(/.f64 y (/.f64 t z))
(*.f64 (/.f64 y t) z)
(*.f64 z (/.f64 y t))
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(/.f64 (*.f64 y z) t)
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(*.f64 (/.f64 y t) z)
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(/.f64 (*.f64 y z) t)
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(*.f64 y z)
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(*.f64 y z)
(*.f64 y z)
(*.f64 y z)
(*.f64 y z)
(*.f64 y z)
(*.f64 y z)
(*.f64 -1 (/.f64 (*.f64 y z) t))
(neg.f64 (/.f64 y (/.f64 t z)))
(/.f64 (neg.f64 (*.f64 y z)) t)
(/.f64 (neg.f64 y) (/.f64 t z))
(*.f64 y (/.f64 (neg.f64 z) t))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(fma.f64 -1 (/.f64 y (/.f64 t z)) x)
(-.f64 x (*.f64 (/.f64 y t) z))
(-.f64 x (*.f64 z (/.f64 y t)))
(-.f64 x (*.f64 y (/.f64 z t)))
(-.f64 x (/.f64 (*.f64 y z) t))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(fma.f64 -1 (/.f64 y (/.f64 t z)) x)
(-.f64 x (*.f64 (/.f64 y t) z))
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(-.f64 x (*.f64 y (/.f64 z t)))
(-.f64 x (/.f64 (*.f64 y z) t))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(fma.f64 -1 (/.f64 y (/.f64 t z)) x)
(-.f64 x (*.f64 (/.f64 y t) z))
(-.f64 x (*.f64 z (/.f64 y t)))
(-.f64 x (*.f64 y (/.f64 z t)))
(-.f64 x (/.f64 (*.f64 y z) t))
x
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(fma.f64 -1 (/.f64 y (/.f64 t z)) x)
(-.f64 x (*.f64 (/.f64 y t) z))
(-.f64 x (*.f64 z (/.f64 y t)))
(-.f64 x (*.f64 y (/.f64 z t)))
(-.f64 x (/.f64 (*.f64 y z) t))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(fma.f64 -1 (/.f64 y (/.f64 t z)) x)
(-.f64 x (*.f64 (/.f64 y t) z))
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(-.f64 x (*.f64 y (/.f64 z t)))
(-.f64 x (/.f64 (*.f64 y z) t))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(fma.f64 -1 (/.f64 y (/.f64 t z)) x)
(-.f64 x (*.f64 (/.f64 y t) z))
(-.f64 x (*.f64 z (/.f64 y t)))
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(-.f64 x (/.f64 (*.f64 y z) t))
x
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
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(-.f64 x (*.f64 (/.f64 y t) z))
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(-.f64 x (/.f64 (*.f64 y z) t))
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(fma.f64 -1 (/.f64 y (/.f64 t z)) x)
(-.f64 x (*.f64 (/.f64 y t) z))
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(-.f64 x (*.f64 y (/.f64 z t)))
(-.f64 x (/.f64 (*.f64 y z) t))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(fma.f64 -1 (/.f64 y (/.f64 t z)) x)
(-.f64 x (*.f64 (/.f64 y t) z))
(-.f64 x (*.f64 z (/.f64 y t)))
(-.f64 x (*.f64 y (/.f64 z t)))
(-.f64 x (/.f64 (*.f64 y z) t))
(*.f64 -1 (/.f64 (*.f64 y z) t))
(neg.f64 (/.f64 y (/.f64 t z)))
(/.f64 (neg.f64 (*.f64 y z)) t)
(/.f64 (neg.f64 y) (/.f64 t z))
(*.f64 y (/.f64 (neg.f64 z) t))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(fma.f64 -1 (/.f64 y (/.f64 t z)) x)
(-.f64 x (*.f64 (/.f64 y t) z))
(-.f64 x (*.f64 z (/.f64 y t)))
(-.f64 x (*.f64 y (/.f64 z t)))
(-.f64 x (/.f64 (*.f64 y z) t))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(fma.f64 -1 (/.f64 y (/.f64 t z)) x)
(-.f64 x (*.f64 (/.f64 y t) z))
(-.f64 x (*.f64 z (/.f64 y t)))
(-.f64 x (*.f64 y (/.f64 z t)))
(-.f64 x (/.f64 (*.f64 y z) t))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(fma.f64 -1 (/.f64 y (/.f64 t z)) x)
(-.f64 x (*.f64 (/.f64 y t) z))
(-.f64 x (*.f64 z (/.f64 y t)))
(-.f64 x (*.f64 y (/.f64 z t)))
(-.f64 x (/.f64 (*.f64 y z) t))
x
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(fma.f64 -1 (/.f64 y (/.f64 t z)) x)
(-.f64 x (*.f64 (/.f64 y t) z))
(-.f64 x (*.f64 z (/.f64 y t)))
(-.f64 x (*.f64 y (/.f64 z t)))
(-.f64 x (/.f64 (*.f64 y z) t))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(fma.f64 -1 (/.f64 y (/.f64 t z)) x)
(-.f64 x (*.f64 (/.f64 y t) z))
(-.f64 x (*.f64 z (/.f64 y t)))
(-.f64 x (*.f64 y (/.f64 z t)))
(-.f64 x (/.f64 (*.f64 y z) t))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(fma.f64 -1 (/.f64 y (/.f64 t z)) x)
(-.f64 x (*.f64 (/.f64 y t) z))
(-.f64 x (*.f64 z (/.f64 y t)))
(-.f64 x (*.f64 y (/.f64 z t)))
(-.f64 x (/.f64 (*.f64 y z) t))
x
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(fma.f64 -1 (/.f64 y (/.f64 t z)) x)
(-.f64 x (*.f64 (/.f64 y t) z))
(-.f64 x (*.f64 z (/.f64 y t)))
(-.f64 x (*.f64 y (/.f64 z t)))
(-.f64 x (/.f64 (*.f64 y z) t))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(fma.f64 -1 (/.f64 y (/.f64 t z)) x)
(-.f64 x (*.f64 (/.f64 y t) z))
(-.f64 x (*.f64 z (/.f64 y t)))
(-.f64 x (*.f64 y (/.f64 z t)))
(-.f64 x (/.f64 (*.f64 y z) t))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(fma.f64 -1 (/.f64 y (/.f64 t z)) x)
(-.f64 x (*.f64 (/.f64 y t) z))
(-.f64 x (*.f64 z (/.f64 y t)))
(-.f64 x (*.f64 y (/.f64 z t)))
(-.f64 x (/.f64 (*.f64 y z) t))
x
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(fma.f64 -1 (/.f64 y (/.f64 t z)) x)
(-.f64 x (*.f64 (/.f64 y t) z))
(-.f64 x (*.f64 z (/.f64 y t)))
(-.f64 x (*.f64 y (/.f64 z t)))
(-.f64 x (/.f64 (*.f64 y z) t))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(fma.f64 -1 (/.f64 y (/.f64 t z)) x)
(-.f64 x (*.f64 (/.f64 y t) z))
(-.f64 x (*.f64 z (/.f64 y t)))
(-.f64 x (*.f64 y (/.f64 z t)))
(-.f64 x (/.f64 (*.f64 y z) t))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(fma.f64 -1 (/.f64 y (/.f64 t z)) x)
(-.f64 x (*.f64 (/.f64 y t) z))
(-.f64 x (*.f64 z (/.f64 y t)))
(-.f64 x (*.f64 y (/.f64 z t)))
(-.f64 x (/.f64 (*.f64 y z) t))
(*.f64 -1 (/.f64 (*.f64 y z) t))
(neg.f64 (/.f64 y (/.f64 t z)))
(/.f64 (neg.f64 (*.f64 y z)) t)
(/.f64 (neg.f64 y) (/.f64 t z))
(*.f64 y (/.f64 (neg.f64 z) t))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(fma.f64 -1 (/.f64 y (/.f64 t z)) x)
(-.f64 x (*.f64 (/.f64 y t) z))
(-.f64 x (*.f64 z (/.f64 y t)))
(-.f64 x (*.f64 y (/.f64 z t)))
(-.f64 x (/.f64 (*.f64 y z) t))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(fma.f64 -1 (/.f64 y (/.f64 t z)) x)
(-.f64 x (*.f64 (/.f64 y t) z))
(-.f64 x (*.f64 z (/.f64 y t)))
(-.f64 x (*.f64 y (/.f64 z t)))
(-.f64 x (/.f64 (*.f64 y z) t))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(fma.f64 -1 (/.f64 y (/.f64 t z)) x)
(-.f64 x (*.f64 (/.f64 y t) z))
(-.f64 x (*.f64 z (/.f64 y t)))
(-.f64 x (*.f64 y (/.f64 z t)))
(-.f64 x (/.f64 (*.f64 y z) t))
(*.f64 -1 (/.f64 (*.f64 y z) t))
(neg.f64 (/.f64 y (/.f64 t z)))
(/.f64 (neg.f64 (*.f64 y z)) t)
(/.f64 (neg.f64 y) (/.f64 t z))
(*.f64 y (/.f64 (neg.f64 z) t))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(fma.f64 -1 (/.f64 y (/.f64 t z)) x)
(-.f64 x (*.f64 (/.f64 y t) z))
(-.f64 x (*.f64 z (/.f64 y t)))
(-.f64 x (*.f64 y (/.f64 z t)))
(-.f64 x (/.f64 (*.f64 y z) t))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(fma.f64 -1 (/.f64 y (/.f64 t z)) x)
(-.f64 x (*.f64 (/.f64 y t) z))
(-.f64 x (*.f64 z (/.f64 y t)))
(-.f64 x (*.f64 y (/.f64 z t)))
(-.f64 x (/.f64 (*.f64 y z) t))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(fma.f64 -1 (/.f64 y (/.f64 t z)) x)
(-.f64 x (*.f64 (/.f64 y t) z))
(-.f64 x (*.f64 z (/.f64 y t)))
(-.f64 x (*.f64 y (/.f64 z t)))
(-.f64 x (/.f64 (*.f64 y z) t))
x
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(fma.f64 -1 (/.f64 y (/.f64 t z)) x)
(-.f64 x (*.f64 (/.f64 y t) z))
(-.f64 x (*.f64 z (/.f64 y t)))
(-.f64 x (*.f64 y (/.f64 z t)))
(-.f64 x (/.f64 (*.f64 y z) t))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(fma.f64 -1 (/.f64 y (/.f64 t z)) x)
(-.f64 x (*.f64 (/.f64 y t) z))
(-.f64 x (*.f64 z (/.f64 y t)))
(-.f64 x (*.f64 y (/.f64 z t)))
(-.f64 x (/.f64 (*.f64 y z) t))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(fma.f64 -1 (/.f64 y (/.f64 t z)) x)
(-.f64 x (*.f64 (/.f64 y t) z))
(-.f64 x (*.f64 z (/.f64 y t)))
(-.f64 x (*.f64 y (/.f64 z t)))
(-.f64 x (/.f64 (*.f64 y z) t))
(*.f64 -1 (/.f64 (*.f64 y z) t))
(neg.f64 (/.f64 y (/.f64 t z)))
(/.f64 (neg.f64 (*.f64 y z)) t)
(/.f64 (neg.f64 y) (/.f64 t z))
(*.f64 y (/.f64 (neg.f64 z) t))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(fma.f64 -1 (/.f64 y (/.f64 t z)) x)
(-.f64 x (*.f64 (/.f64 y t) z))
(-.f64 x (*.f64 z (/.f64 y t)))
(-.f64 x (*.f64 y (/.f64 z t)))
(-.f64 x (/.f64 (*.f64 y z) t))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(fma.f64 -1 (/.f64 y (/.f64 t z)) x)
(-.f64 x (*.f64 (/.f64 y t) z))
(-.f64 x (*.f64 z (/.f64 y t)))
(-.f64 x (*.f64 y (/.f64 z t)))
(-.f64 x (/.f64 (*.f64 y z) t))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(fma.f64 -1 (/.f64 y (/.f64 t z)) x)
(-.f64 x (*.f64 (/.f64 y t) z))
(-.f64 x (*.f64 z (/.f64 y t)))
(-.f64 x (*.f64 y (/.f64 z t)))
(-.f64 x (/.f64 (*.f64 y z) t))
(*.f64 -1 (/.f64 (*.f64 y z) t))
(neg.f64 (/.f64 y (/.f64 t z)))
(/.f64 (neg.f64 (*.f64 y z)) t)
(/.f64 (neg.f64 y) (/.f64 t z))
(*.f64 y (/.f64 (neg.f64 z) t))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(fma.f64 -1 (/.f64 y (/.f64 t z)) x)
(-.f64 x (*.f64 (/.f64 y t) z))
(-.f64 x (*.f64 z (/.f64 y t)))
(-.f64 x (*.f64 y (/.f64 z t)))
(-.f64 x (/.f64 (*.f64 y z) t))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(fma.f64 -1 (/.f64 y (/.f64 t z)) x)
(-.f64 x (*.f64 (/.f64 y t) z))
(-.f64 x (*.f64 z (/.f64 y t)))
(-.f64 x (*.f64 y (/.f64 z t)))
(-.f64 x (/.f64 (*.f64 y z) t))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(fma.f64 -1 (/.f64 y (/.f64 t z)) x)
(-.f64 x (*.f64 (/.f64 y t) z))
(-.f64 x (*.f64 z (/.f64 y t)))
(-.f64 x (*.f64 y (/.f64 z t)))
(-.f64 x (/.f64 (*.f64 y z) t))

localize6.0ms (0%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓7.0b
(/.f64 y (/.f64 t z))
Compiler

Compiled 15 to 6 computations (60% saved)

series2.0ms (0%)

Counts
1 → 36
Calls

9 calls:

TimeVariablePointExpression
0.0ms
y
@0
(/.f64 y (/.f64 t z))
0.0ms
z
@-inf
(/.f64 y (/.f64 t z))
0.0ms
y
@-inf
(/.f64 y (/.f64 t z))
0.0ms
t
@inf
(/.f64 y (/.f64 t z))
0.0ms
t
@-inf
(/.f64 y (/.f64 t z))

rewrite59.0ms (0.3%)

Algorithm
1×batch-egg-rewrite
Rules
780×pow1_binary64
724×add-log-exp_binary64
724×log1p-expm1-u_binary64
724×expm1-log1p-u_binary64
707×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
11317
219157
Stop Event
1×node limit
Counts
1 → 41
Calls
Call 1
Inputs
(/.f64 y (/.f64 t z))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 y (/.f64 z t))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (/.f64 z t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 z (/.f64 y t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y (/.f64 z t)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 y (/.f64 z t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 y (/.f64 z t))) (pow.f64 (cbrt.f64 (*.f64 y (/.f64 z t))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 y (/.f64 z t))) 2) (cbrt.f64 (*.f64 y (/.f64 z t))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) (/.f64 z t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 y (/.f64 z t))) (sqrt.f64 (*.f64 y (/.f64 z t))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (/.f64 z t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 y) (/.f64 1 (/.f64 (neg.f64 t) z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 z t) y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y t) z)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 t) (/.f64 y (/.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) t) (/.f64 (cbrt.f64 y) (/.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 y) t) (/.f64 (sqrt.f64 y) (/.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) 1) (/.f64 (cbrt.f64 y) (/.f64 t z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 y) 1) (/.f64 (sqrt.f64 y) (/.f64 t z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 t z)) 2)) (/.f64 y (cbrt.f64 (/.f64 t z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (cbrt.f64 (/.f64 t z)) 2)) (cbrt.f64 (*.f64 y (/.f64 z t))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 (/.f64 t z)) 2)) (/.f64 (sqrt.f64 y) (cbrt.f64 (/.f64 t z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (/.f64 t z))) (/.f64 y (sqrt.f64 (/.f64 t z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (sqrt.f64 (/.f64 t z))) (/.f64 (cbrt.f64 y) (sqrt.f64 (/.f64 t z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y 1) (/.f64 z t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (neg.f64 t)) (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 y t) 1) z)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 y t) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 y t) (sqrt.f64 z)) (sqrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y (/.f64 z t)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 y (/.f64 z t)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 y (/.f64 z t))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 y (/.f64 z t))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 t (*.f64 y z)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 y (/.f64 (neg.f64 t) z)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 y (/.f64 z t)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 y) (/.f64 z t)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 y (/.f64 z t)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 y 3) (pow.f64 (/.f64 t z) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 y (/.f64 z t))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 y (/.f64 z t))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 y (/.f64 z t))))))))

simplify19.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
3×*-commutative_binary64
2×associate-/l*_binary64
2×associate-/r/_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06252
19252
213252
316252
417252
Stop Event
1×saturated
Counts
77 → 42
Calls
Call 1
Inputs
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
Outputs
(/.f64 (*.f64 y z) t)
(/.f64 y (/.f64 t z))
(*.f64 (/.f64 y t) z)
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(/.f64 (*.f64 y z) t)
(/.f64 y (/.f64 t z))
(*.f64 (/.f64 y t) z)
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(/.f64 (*.f64 y z) t)
(/.f64 y (/.f64 t z))
(*.f64 (/.f64 y t) z)
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(/.f64 (*.f64 y z) t)
(/.f64 y (/.f64 t z))
(*.f64 (/.f64 y t) z)
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(/.f64 (*.f64 y z) t)
(/.f64 y (/.f64 t z))
(*.f64 (/.f64 y t) z)
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(/.f64 (*.f64 y z) t)
(/.f64 y (/.f64 t z))
(*.f64 (/.f64 y t) z)
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(/.f64 (*.f64 y z) t)
(/.f64 y (/.f64 t z))
(*.f64 (/.f64 y t) z)
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(/.f64 (*.f64 y z) t)
(/.f64 y (/.f64 t z))
(*.f64 (/.f64 y t) z)
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(/.f64 (*.f64 y z) t)
(/.f64 y (/.f64 t z))
(*.f64 (/.f64 y t) z)
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(/.f64 (*.f64 y z) t)
(/.f64 y (/.f64 t z))
(*.f64 (/.f64 y t) z)
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(/.f64 (*.f64 y z) t)
(/.f64 y (/.f64 t z))
(*.f64 (/.f64 y t) z)
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(/.f64 (*.f64 y z) t)
(/.f64 y (/.f64 t z))
(*.f64 (/.f64 y t) z)
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(/.f64 (*.f64 y z) t)
(/.f64 y (/.f64 t z))
(*.f64 (/.f64 y t) z)
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(/.f64 (*.f64 y z) t)
(/.f64 y (/.f64 t z))
(*.f64 (/.f64 y t) z)
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(/.f64 (*.f64 y z) t)
(/.f64 y (/.f64 t z))
(*.f64 (/.f64 y t) z)
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(/.f64 (*.f64 y z) t)
(/.f64 y (/.f64 t z))
(*.f64 (/.f64 y t) z)
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(/.f64 (*.f64 y z) t)
(/.f64 y (/.f64 t z))
(*.f64 (/.f64 y t) z)
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(/.f64 (*.f64 y z) t)
(/.f64 y (/.f64 t z))
(*.f64 (/.f64 y t) z)
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(/.f64 (*.f64 y z) t)
(/.f64 y (/.f64 t z))
(*.f64 (/.f64 y t) z)
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(/.f64 (*.f64 y z) t)
(/.f64 y (/.f64 t z))
(*.f64 (/.f64 y t) z)
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(/.f64 (*.f64 y z) t)
(/.f64 y (/.f64 t z))
(*.f64 (/.f64 y t) z)
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(/.f64 (*.f64 y z) t)
(/.f64 y (/.f64 t z))
(*.f64 (/.f64 y t) z)
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(/.f64 (*.f64 y z) t)
(/.f64 y (/.f64 t z))
(*.f64 (/.f64 y t) z)
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(/.f64 (*.f64 y z) t)
(/.f64 y (/.f64 t z))
(*.f64 (/.f64 y t) z)
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(/.f64 (*.f64 y z) t)
(/.f64 y (/.f64 t z))
(*.f64 (/.f64 y t) z)
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(/.f64 (*.f64 y z) t)
(/.f64 y (/.f64 t z))
(*.f64 (/.f64 y t) z)
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(/.f64 (*.f64 y z) t)
(/.f64 y (/.f64 t z))
(*.f64 (/.f64 y t) z)
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(/.f64 (*.f64 y z) t)
(/.f64 y (/.f64 t z))
(*.f64 (/.f64 y t) z)
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(/.f64 (*.f64 y z) t)
(/.f64 y (/.f64 t z))
(*.f64 (/.f64 y t) z)
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(/.f64 (*.f64 y z) t)
(/.f64 y (/.f64 t z))
(*.f64 (/.f64 y t) z)
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(/.f64 (*.f64 y z) t)
(/.f64 y (/.f64 t z))
(*.f64 (/.f64 y t) z)
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(/.f64 (*.f64 y z) t)
(/.f64 y (/.f64 t z))
(*.f64 (/.f64 y t) z)
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(/.f64 (*.f64 y z) t)
(/.f64 y (/.f64 t z))
(*.f64 (/.f64 y t) z)
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(/.f64 (*.f64 y z) t)
(/.f64 y (/.f64 t z))
(*.f64 (/.f64 y t) z)
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(/.f64 (*.f64 y z) t)
(/.f64 y (/.f64 t z))
(*.f64 (/.f64 y t) z)
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(/.f64 (*.f64 y z) t)
(/.f64 y (/.f64 t z))
(*.f64 (/.f64 y t) z)
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))

localize13.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(-.f64 x (*.f64 z (*.f64 y (/.f64 1 t))))
✓0.2b
(*.f64 y (/.f64 1 t))
✓4.6b
(*.f64 z (*.f64 y (/.f64 1 t)))
Compiler

Compiled 33 to 19 computations (42.4% saved)

series11.0ms (0.1%)

Counts
3 → 108
Calls

27 calls:

TimeVariablePointExpression
3.0ms
y
@inf
(-.f64 x (*.f64 z (*.f64 y (/.f64 1 t))))
0.0ms
y
@-inf
(*.f64 y (/.f64 1 t))
0.0ms
y
@0
(*.f64 y (/.f64 1 t))
0.0ms
t
@-inf
(*.f64 y (/.f64 1 t))
0.0ms
t
@0
(*.f64 y (/.f64 1 t))

rewrite101.0ms (0.5%)

Algorithm
1×batch-egg-rewrite
Rules
785×prod-diff_binary64
561×log-prod_binary64
278×pow2_binary64
238×fma-def_binary64
200×pow-unpow_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01021
121521
2292121
Stop Event
1×node limit
Counts
3 → 232
Calls
Call 1
Inputs
(*.f64 z (*.f64 y (/.f64 1 t)))
(*.f64 y (/.f64 1 t))
(-.f64 x (*.f64 z (*.f64 y (/.f64 1 t))))
Outputs
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(/.f64 y t))) (sqrt.f64 (/.f64 y t)) x)))))

simplify84.0ms (0.4%)

Algorithm
1×egg-herbie
Rules
365×fma-def_binary64
220×fma-neg_binary64
81×cancel-sign-sub-inv_binary64
54×associate-/l*_binary64
44×distribute-rgt-in_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
011804
120768
241768
380768
4141768
5214768
6300768
7379768
8483768
9748768
101172768
111330768
121450768
131455768
Stop Event
1×saturated
Counts
340 → 239
Calls
Call 1
Inputs
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 y t)
(/.f64 y t)
(/.f64 y t)
(/.f64 y t)
(/.f64 y t)
(/.f64 y t)
(/.f64 y t)
(/.f64 y t)
(/.f64 y t)
(/.f64 y t)
(/.f64 y t)
(/.f64 y t)
(/.f64 y t)
(/.f64 y t)
(/.f64 y t)
(/.f64 y t)
(/.f64 y t)
(/.f64 y t)
(/.f64 y t)
(/.f64 y t)
(/.f64 y t)
(/.f64 y t)
(/.f64 y t)
(/.f64 y t)
(*.f64 -1 (/.f64 (*.f64 y z) t))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
x
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
x
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
x
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(*.f64 -1 (/.f64 (*.f64 y z) t))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(*.f64 -1 (/.f64 (*.f64 y z) t))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
x
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(*.f64 -1 (/.f64 (*.f64 y z) t))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(*.f64 -1 (/.f64 (*.f64 y z) t))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(*.f64 -1 (/.f64 (*.f64 y z) t))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
x
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
x
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
Outputs
(/.f64 (*.f64 y z) t)
(/.f64 y (/.f64 t z))
(*.f64 (/.f64 y t) z)
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(/.f64 z (/.f64 t y))
(/.f64 (*.f64 y z) t)
(/.f64 y (/.f64 t z))
(*.f64 (/.f64 y t) z)
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(/.f64 z (/.f64 t y))
(/.f64 (*.f64 y z) t)
(/.f64 y (/.f64 t z))
(*.f64 (/.f64 y t) z)
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
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(/.f64 (*.f64 y z) t)
(/.f64 y (/.f64 t z))
(*.f64 (/.f64 y t) z)
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(/.f64 z (/.f64 t y))
(/.f64 (*.f64 y z) t)
(/.f64 y (/.f64 t z))
(*.f64 (/.f64 y t) z)
(*.f64 z (/.f64 y t))
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(/.f64 (*.f64 y z) t)
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(*.f64 (/.f64 y t) z)
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(/.f64 (*.f64 y z) t)
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(*.f64 (/.f64 y t) z)
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
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(/.f64 (*.f64 y z) t)
(/.f64 y (/.f64 t z))
(*.f64 (/.f64 y t) z)
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(*.f64 y (/.f64 z t))
(/.f64 z (/.f64 t y))
(/.f64 (*.f64 y z) t)
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(*.f64 (/.f64 y t) z)
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(/.f64 z (/.f64 t y))
(/.f64 (*.f64 y z) t)
(/.f64 y (/.f64 t z))
(*.f64 (/.f64 y t) z)
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(/.f64 z (/.f64 t y))
(/.f64 (*.f64 y z) t)
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(*.f64 (/.f64 y t) z)
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(/.f64 z (/.f64 t y))
(/.f64 (*.f64 y z) t)
(/.f64 y (/.f64 t z))
(*.f64 (/.f64 y t) z)
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(/.f64 z (/.f64 t y))
(/.f64 (*.f64 y z) t)
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(*.f64 (/.f64 y t) z)
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(/.f64 z (/.f64 t y))
(/.f64 (*.f64 y z) t)
(/.f64 y (/.f64 t z))
(*.f64 (/.f64 y t) z)
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(/.f64 z (/.f64 t y))
(/.f64 (*.f64 y z) t)
(/.f64 y (/.f64 t z))
(*.f64 (/.f64 y t) z)
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(/.f64 z (/.f64 t y))
(/.f64 (*.f64 y z) t)
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(*.f64 (/.f64 y t) z)
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(/.f64 z (/.f64 t y))
(/.f64 (*.f64 y z) t)
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(*.f64 (/.f64 y t) z)
(*.f64 z (/.f64 y t))
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(/.f64 z (/.f64 t y))
(/.f64 (*.f64 y z) t)
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(*.f64 (/.f64 y t) z)
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(*.f64 y (/.f64 z t))
(/.f64 z (/.f64 t y))
(/.f64 (*.f64 y z) t)
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(*.f64 (/.f64 y t) z)
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(/.f64 (*.f64 y z) t)
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(*.f64 (/.f64 y t) z)
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(/.f64 z (/.f64 t y))
(/.f64 (*.f64 y z) t)
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(/.f64 (*.f64 y z) t)
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(*.f64 (/.f64 y t) z)
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(/.f64 (*.f64 y z) t)
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(/.f64 (*.f64 y z) t)
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(*.f64 (/.f64 y t) z)
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(/.f64 (*.f64 y z) t)
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(/.f64 z (/.f64 t y))
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(*.f64 (/.f64 y t) z)
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(/.f64 z (/.f64 t y))
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(*.f64 (/.f64 y t) z)
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(/.f64 (*.f64 y z) t)
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(*.f64 (/.f64 y t) z)
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(/.f64 z (/.f64 t y))
(/.f64 (*.f64 y z) t)
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(*.f64 (/.f64 y t) z)
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(/.f64 z (/.f64 t y))
(/.f64 (*.f64 y z) t)
(/.f64 y (/.f64 t z))
(*.f64 (/.f64 y t) z)
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(/.f64 z (/.f64 t y))
(/.f64 (*.f64 y z) t)
(/.f64 y (/.f64 t z))
(*.f64 (/.f64 y t) z)
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(/.f64 z (/.f64 t y))
(/.f64 (*.f64 y z) t)
(/.f64 y (/.f64 t z))
(*.f64 (/.f64 y t) z)
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(/.f64 z (/.f64 t y))
(/.f64 y t)
(/.f64 y t)
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(/.f64 y t)
(/.f64 y t)
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(/.f64 y t)
(/.f64 y t)
(/.f64 y t)
(/.f64 y t)
(/.f64 y t)
(/.f64 y t)
(/.f64 y t)
(*.f64 -1 (/.f64 (*.f64 y z) t))
(neg.f64 (/.f64 y (/.f64 t z)))
(/.f64 (neg.f64 (*.f64 y z)) t)
(*.f64 (/.f64 y t) (neg.f64 z))
(*.f64 y (/.f64 (neg.f64 z) t))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(fma.f64 -1 (/.f64 y (/.f64 t z)) x)
(-.f64 x (*.f64 (/.f64 y t) z))
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(-.f64 x (*.f64 y (/.f64 z t)))
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(fma.f64 -1 (/.f64 y (/.f64 t z)) x)
(-.f64 x (*.f64 (/.f64 y t) z))
(-.f64 x (*.f64 z (/.f64 y t)))
(-.f64 x (*.f64 y (/.f64 z t)))
(-.f64 x (/.f64 z (/.f64 t y)))
x
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(-.f64 x (*.f64 (/.f64 y t) z))
(-.f64 x (*.f64 z (/.f64 y t)))
(-.f64 x (*.f64 y (/.f64 z t)))
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(-.f64 x (/.f64 z (/.f64 t y)))
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(-.f64 x (*.f64 z (/.f64 y t)))
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x
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x
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(-.f64 x (*.f64 y (/.f64 z t)))
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(fma.f64 -1 (/.f64 y (/.f64 t z)) x)
(-.f64 x (*.f64 (/.f64 y t) z))
(-.f64 x (*.f64 z (/.f64 y t)))
(-.f64 x (*.f64 y (/.f64 z t)))
(-.f64 x (/.f64 z (/.f64 t y)))
(*.f64 -1 (/.f64 (*.f64 y z) t))
(neg.f64 (/.f64 y (/.f64 t z)))
(/.f64 (neg.f64 (*.f64 y z)) t)
(*.f64 (/.f64 y t) (neg.f64 z))
(*.f64 y (/.f64 (neg.f64 z) t))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(fma.f64 -1 (/.f64 y (/.f64 t z)) x)
(-.f64 x (*.f64 (/.f64 y t) z))
(-.f64 x (*.f64 z (/.f64 y t)))
(-.f64 x (*.f64 y (/.f64 z t)))
(-.f64 x (/.f64 z (/.f64 t y)))
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(fma.f64 -1 (/.f64 y (/.f64 t z)) x)
(-.f64 x (*.f64 (/.f64 y t) z))
(-.f64 x (*.f64 z (/.f64 y t)))
(-.f64 x (*.f64 y (/.f64 z t)))
(-.f64 x (/.f64 z (/.f64 t y)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(fma.f64 -1 (/.f64 y (/.f64 t z)) x)
(-.f64 x (*.f64 (/.f64 y t) z))
(-.f64 x (*.f64 z (/.f64 y t)))
(-.f64 x (*.f64 y (/.f64 z t)))
(-.f64 x (/.f64 z (/.f64 t y)))
(*.f64 -1 (/.f64 (*.f64 y z) t))
(neg.f64 (/.f64 y (/.f64 t z)))
(/.f64 (neg.f64 (*.f64 y z)) t)
(*.f64 (/.f64 y t) (neg.f64 z))
(*.f64 y (/.f64 (neg.f64 z) t))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(fma.f64 -1 (/.f64 y (/.f64 t z)) x)
(-.f64 x (*.f64 (/.f64 y t) z))
(-.f64 x (*.f64 z (/.f64 y t)))
(-.f64 x (*.f64 y (/.f64 z t)))
(-.f64 x (/.f64 z (/.f64 t y)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(fma.f64 -1 (/.f64 y (/.f64 t z)) x)
(-.f64 x (*.f64 (/.f64 y t) z))
(-.f64 x (*.f64 z (/.f64 y t)))
(-.f64 x (*.f64 y (/.f64 z t)))
(-.f64 x (/.f64 z (/.f64 t y)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(fma.f64 -1 (/.f64 y (/.f64 t z)) x)
(-.f64 x (*.f64 (/.f64 y t) z))
(-.f64 x (*.f64 z (/.f64 y t)))
(-.f64 x (*.f64 y (/.f64 z t)))
(-.f64 x (/.f64 z (/.f64 t y)))
x
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(fma.f64 -1 (/.f64 y (/.f64 t z)) x)
(-.f64 x (*.f64 (/.f64 y t) z))
(-.f64 x (*.f64 z (/.f64 y t)))
(-.f64 x (*.f64 y (/.f64 z t)))
(-.f64 x (/.f64 z (/.f64 t y)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(fma.f64 -1 (/.f64 y (/.f64 t z)) x)
(-.f64 x (*.f64 (/.f64 y t) z))
(-.f64 x (*.f64 z (/.f64 y t)))
(-.f64 x (*.f64 y (/.f64 z t)))
(-.f64 x (/.f64 z (/.f64 t y)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(fma.f64 -1 (/.f64 y (/.f64 t z)) x)
(-.f64 x (*.f64 (/.f64 y t) z))
(-.f64 x (*.f64 z (/.f64 y t)))
(-.f64 x (*.f64 y (/.f64 z t)))
(-.f64 x (/.f64 z (/.f64 t y)))
(*.f64 -1 (/.f64 (*.f64 y z) t))
(neg.f64 (/.f64 y (/.f64 t z)))
(/.f64 (neg.f64 (*.f64 y z)) t)
(*.f64 (/.f64 y t) (neg.f64 z))
(*.f64 y (/.f64 (neg.f64 z) t))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(fma.f64 -1 (/.f64 y (/.f64 t z)) x)
(-.f64 x (*.f64 (/.f64 y t) z))
(-.f64 x (*.f64 z (/.f64 y t)))
(-.f64 x (*.f64 y (/.f64 z t)))
(-.f64 x (/.f64 z (/.f64 t y)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(fma.f64 -1 (/.f64 y (/.f64 t z)) x)
(-.f64 x (*.f64 (/.f64 y t) z))
(-.f64 x (*.f64 z (/.f64 y t)))
(-.f64 x (*.f64 y (/.f64 z t)))
(-.f64 x (/.f64 z (/.f64 t y)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(fma.f64 -1 (/.f64 y (/.f64 t z)) x)
(-.f64 x (*.f64 (/.f64 y t) z))
(-.f64 x (*.f64 z (/.f64 y t)))
(-.f64 x (*.f64 y (/.f64 z t)))
(-.f64 x (/.f64 z (/.f64 t y)))
(*.f64 -1 (/.f64 (*.f64 y z) t))
(neg.f64 (/.f64 y (/.f64 t z)))
(/.f64 (neg.f64 (*.f64 y z)) t)
(*.f64 (/.f64 y t) (neg.f64 z))
(*.f64 y (/.f64 (neg.f64 z) t))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(fma.f64 -1 (/.f64 y (/.f64 t z)) x)
(-.f64 x (*.f64 (/.f64 y t) z))
(-.f64 x (*.f64 z (/.f64 y t)))
(-.f64 x (*.f64 y (/.f64 z t)))
(-.f64 x (/.f64 z (/.f64 t y)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(fma.f64 -1 (/.f64 y (/.f64 t z)) x)
(-.f64 x (*.f64 (/.f64 y t) z))
(-.f64 x (*.f64 z (/.f64 y t)))
(-.f64 x (*.f64 y (/.f64 z t)))
(-.f64 x (/.f64 z (/.f64 t y)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(fma.f64 -1 (/.f64 y (/.f64 t z)) x)
(-.f64 x (*.f64 (/.f64 y t) z))
(-.f64 x (*.f64 z (/.f64 y t)))
(-.f64 x (*.f64 y (/.f64 z t)))
(-.f64 x (/.f64 z (/.f64 t y)))
(*.f64 -1 (/.f64 (*.f64 y z) t))
(neg.f64 (/.f64 y (/.f64 t z)))
(/.f64 (neg.f64 (*.f64 y z)) t)
(*.f64 (/.f64 y t) (neg.f64 z))
(*.f64 y (/.f64 (neg.f64 z) t))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(fma.f64 -1 (/.f64 y (/.f64 t z)) x)
(-.f64 x (*.f64 (/.f64 y t) z))
(-.f64 x (*.f64 z (/.f64 y t)))
(-.f64 x (*.f64 y (/.f64 z t)))
(-.f64 x (/.f64 z (/.f64 t y)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(fma.f64 -1 (/.f64 y (/.f64 t z)) x)
(-.f64 x (*.f64 (/.f64 y t) z))
(-.f64 x (*.f64 z (/.f64 y t)))
(-.f64 x (*.f64 y (/.f64 z t)))
(-.f64 x (/.f64 z (/.f64 t y)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(fma.f64 -1 (/.f64 y (/.f64 t z)) x)
(-.f64 x (*.f64 (/.f64 y t) z))
(-.f64 x (*.f64 z (/.f64 y t)))
(-.f64 x (*.f64 y (/.f64 z t)))
(-.f64 x (/.f64 z (/.f64 t y)))
x
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(fma.f64 -1 (/.f64 y (/.f64 t z)) x)
(-.f64 x (*.f64 (/.f64 y t) z))
(-.f64 x (*.f64 z (/.f64 y t)))
(-.f64 x (*.f64 y (/.f64 z t)))
(-.f64 x (/.f64 z (/.f64 t y)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(fma.f64 -1 (/.f64 y (/.f64 t z)) x)
(-.f64 x (*.f64 (/.f64 y t) z))
(-.f64 x (*.f64 z (/.f64 y t)))
(-.f64 x (*.f64 y (/.f64 z t)))
(-.f64 x (/.f64 z (/.f64 t y)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(fma.f64 -1 (/.f64 y (/.f64 t z)) x)
(-.f64 x (*.f64 (/.f64 y t) z))
(-.f64 x (*.f64 z (/.f64 y t)))
(-.f64 x (*.f64 y (/.f64 z t)))
(-.f64 x (/.f64 z (/.f64 t y)))
x
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(fma.f64 -1 (/.f64 y (/.f64 t z)) x)
(-.f64 x (*.f64 (/.f64 y t) z))
(-.f64 x (*.f64 z (/.f64 y t)))
(-.f64 x (*.f64 y (/.f64 z t)))
(-.f64 x (/.f64 z (/.f64 t y)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(fma.f64 -1 (/.f64 y (/.f64 t z)) x)
(-.f64 x (*.f64 (/.f64 y t) z))
(-.f64 x (*.f64 z (/.f64 y t)))
(-.f64 x (*.f64 y (/.f64 z t)))
(-.f64 x (/.f64 z (/.f64 t y)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(fma.f64 -1 (/.f64 y (/.f64 t z)) x)
(-.f64 x (*.f64 (/.f64 y t) z))
(-.f64 x (*.f64 z (/.f64 y t)))
(-.f64 x (*.f64 y (/.f64 z t)))
(-.f64 x (/.f64 z (/.f64 t y)))

localize11.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(/.f64 (*.f64 y (-.f64 1 (exp.f64 z))) t)
✓2.7b
(-.f64 1 (exp.f64 z))
Compiler

Compiled 28 to 15 computations (46.4% saved)

series12.0ms (0.1%)

Counts
2 → 8
Calls

12 calls:

TimeVariablePointExpression
4.0ms
t
@inf
(/.f64 (*.f64 y (-.f64 1 (exp.f64 z))) t)
2.0ms
z
@-inf
(/.f64 (*.f64 y (-.f64 1 (exp.f64 z))) t)
1.0ms
z
@inf
(/.f64 (*.f64 y (-.f64 1 (exp.f64 z))) t)
1.0ms
y
@0
(/.f64 (*.f64 y (-.f64 1 (exp.f64 z))) t)
1.0ms
t
@0
(/.f64 (*.f64 y (-.f64 1 (exp.f64 z))) t)

rewrite75.0ms (0.4%)

Algorithm
1×batch-egg-rewrite
Rules
487×log-prod_binary64
379×exp-prod_binary64
328×prod-exp_binary64
285×pow-prod-down_binary64
248×pow2_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0918
118518
2249918
Stop Event
1×node limit
Counts
2 → 114
Calls
Call 1
Inputs
(-.f64 1 (exp.f64 z))
(/.f64 (*.f64 y (-.f64 1 (exp.f64 z))) t)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (neg.f64 (exp.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (neg.f64 (exp.f64 z)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 1 (exp.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (exp.f64 z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 1 (exp.f64 z)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (-.f64 1 (exp.f64 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 1 (exp.f64 z))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 1 (exp.f64 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 1 (exp.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (exp.f64 z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 1 (exp.f64 z))) (cbrt.f64 (pow.f64 (-.f64 1 (exp.f64 z)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (-.f64 1 (exp.f64 z)) 2)) (cbrt.f64 (-.f64 1 (exp.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 1 (exp.f64 z))) (sqrt.f64 (-.f64 1 (exp.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (exp.f64 (*.f64 z 3))) (/.f64 1 (fma.f64 (exp.f64 z) (+.f64 1 (exp.f64 z)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 (exp.f64 z) 2)) (/.f64 1 (+.f64 1 (exp.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (exp.f64 z) (+.f64 1 (exp.f64 z)) 1) (-.f64 1 (exp.f64 (*.f64 z 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (exp.f64 z)) (-.f64 1 (pow.f64 (exp.f64 z) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (exp.f64 (*.f64 z 3))) (fma.f64 (exp.f64 z) (+.f64 1 (exp.f64 z)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (exp.f64 z) 2)) (+.f64 1 (exp.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (exp.f64 (*.f64 z 3)))) (neg.f64 (fma.f64 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (/.f64 y t) (-.f64 1 (exp.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 y t)) (-.f64 1 (exp.f64 z)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 y t)) (-.f64 1 (exp.f64 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 y t)) (-.f64 1 (exp.f64 z))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 y t)) (-.f64 1 (exp.f64 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 y t) (-.f64 1 (exp.f64 z))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (/.f64 y t) (-.f64 1 (exp.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (exp.f64 z)) (*.f64 y (/.f64 1 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (/.f64 1 (/.f64 t (-.f64 1 (exp.f64 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (*.f64 (-.f64 1 (exp.f64 z)) (/.f64 1 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 1 (exp.f64 z)) y) (/.f64 1 t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 y t) (-.f64 1 (exp.f64 z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (/.f64 y t) (-.f64 1 (exp.f64 z)))) (pow.f64 (cbrt.f64 (*.f64 (/.f64 y t) (-.f64 1 (exp.f64 z)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 y t) (-.f64 1 (exp.f64 z)))) 2) (cbrt.f64 (*.f64 (/.f64 y t) (-.f64 1 (exp.f64 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1 (exp.f64 z)) y)) 2) (*.f64 (cbrt.f64 (*.f64 (-.f64 1 (exp.f64 z)) y)) (/.f64 1 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (/.f64 y t) (-.f64 1 (exp.f64 z)))) (sqrt.f64 (*.f64 (/.f64 y t) (-.f64 1 (exp.f64 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (-.f64 1 (exp.f64 z)) y)) (*.f64 (sqrt.f64 (*.f64 (-.f64 1 (exp.f64 z)) y)) (/.f64 1 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 1 (exp.f64 z)) (neg.f64 y)) (/.f64 1 (neg.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 t) (*.f64 (-.f64 1 (exp.f64 z)) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 (exp.f64 z)) 1) (/.f64 y t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y t) (-.f64 1 (exp.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y 1) (/.f64 (-.f64 1 (exp.f64 z)) t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1 (exp.f64 z)) y)) 2) 1) (/.f64 (cbrt.f64 (*.f64 (-.f64 1 (exp.f64 z)) y)) t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 (-.f64 1 (exp.f64 z)) y)) 1) (/.f64 (sqrt.f64 (*.f64 (-.f64 1 (exp.f64 z)) y)) t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 t) -2) (/.f64 (*.f64 (-.f64 1 (exp.f64 z)) y) (cbrt.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 (exp.f64 z)) (cbrt.f64 (*.f64 t t))) (/.f64 y (cbrt.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (cbrt.f64 (*.f64 t t))) (/.f64 (-.f64 1 (exp.f64 z)) (cbrt.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1 (exp.f64 z)) y)) 2) (cbrt.f64 (*.f64 t t))) (cbrt.f64 (*.f64 (/.f64 y t) (-.f64 1 (exp.f64 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 (-.f64 1 (exp.f64 z)) y)) (cbrt.f64 (*.f64 t t))) (/.f64 (sqrt.f64 (*.f64 (-.f64 1 (exp.f64 z)) y)) (cbrt.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 t -1/2) (/.f64 (*.f64 (-.f64 1 (exp.f64 z)) y) (sqrt.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 (exp.f64 z)) (sqrt.f64 t)) (/.f64 y (sqrt.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (sqrt.f64 t)) (/.f64 (-.f64 1 (exp.f64 z)) (sqrt.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1 (exp.f64 z)) y)) 2) (sqrt.f64 t)) (/.f64 (cbrt.f64 (*.f64 (-.f64 1 (exp.f64 z)) y)) (sqrt.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 y t) (-.f64 1 (exp.f64 z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (*.f64 (/.f64 y t) (-.f64 1 (exp.f64 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 y t) (-.f64 1 (exp.f64 z))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 t (*.f64 (-.f64 1 (exp.f64 z)) y)) -3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 y t) (-.f64 1 (exp.f64 z)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 y t) (-.f64 1 (exp.f64 z)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 t (*.f64 (-.f64 1 (exp.f64 z)) y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (*.f64 (-.f64 1 (exp.f64 z)) y) 3) (pow.f64 t 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 t (*.f64 (-.f64 1 (exp.f64 z)) y)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (/.f64 y t) (-.f64 1 (exp.f64 z))))) 2)) (cbrt.f64 (log.f64 (*.f64 (/.f64 y t) (-.f64 1 (exp.f64 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 (/.f64 y t) (-.f64 1 (exp.f64 z)))))) (sqrt.f64 (log.f64 (*.f64 (/.f64 y t) (-.f64 1 (exp.f64 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 (-.f64 1 (exp.f64 z)) y) (neg.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (/.f64 y t) (-.f64 1 (exp.f64 z))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (/.f64 y t)) (-.f64 1 (exp.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 y t) (-.f64 1 (exp.f64 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 t (*.f64 (-.f64 1 (exp.f64 z)) y)) -3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 (-.f64 1 (exp.f64 z)) y) 3) (pow.f64 t 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 y t) (-.f64 1 (exp.f64 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 y t) (-.f64 1 (exp.f64 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 y t) (-.f64 1 (exp.f64 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 y t) (-.f64 1 (exp.f64 z)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 (/.f64 y t) (-.f64 1 (exp.f64 z))))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (/.f64 y t) (-.f64 1 (exp.f64 z))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (/.f64 y t) (-.f64 1 (exp.f64 z))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 t (*.f64 (-.f64 1 (exp.f64 z)) y))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (/.f64 y t) (-.f64 1 (exp.f64 z)))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 y) 1) (log.f64 (/.f64 t (-.f64 1 (exp.f64 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 (*.f64 (-.f64 1 (exp.f64 z)) y)) 1) (log.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 (*.f64 (-.f64 1 (exp.f64 z)) y)) (*.f64 (log.f64 t) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 (*.f64 (-.f64 1 (exp.f64 z)) y)) 1) (*.f64 (log.f64 t) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (*.f64 (-.f64 1 (exp.f64 z)) y)) 1) (neg.f64 (log.f64 t))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (neg.f64 (log.f64 t)) (*.f64 (log.f64 (*.f64 (-.f64 1 (exp.f64 z)) y)) 1)))))))

simplify58.0ms (0.3%)

Algorithm
1×egg-herbie
Rules
797×fma-neg_binary64
568×fma-def_binary64
488×distribute-rgt-neg-in_binary64
444×associate-*l*_binary64
442×distribute-lft-neg-in_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
042174
1117168
2304166
3988130
44180116
Stop Event
1×node limit
Counts
122 → 130
Calls
Call 1
Inputs
(*.f64 -1 z)
(+.f64 (*.f64 -1 z) (*.f64 -1/2 (pow.f64 z 2)))
(+.f64 (*.f64 -1 z) (+.f64 (*.f64 -1/2 (pow.f64 z 2)) (*.f64 -1/6 (pow.f64 z 3))))
(+.f64 (*.f64 -1 z) (+.f64 (*.f64 -1/2 (pow.f64 z 2)) (+.f64 (*.f64 -1/6 (pow.f64 z 3)) (*.f64 -1/24 (pow.f64 z 4)))))
(*.f64 -1 (/.f64 (*.f64 y z) t))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) (*.f64 -1/2 (/.f64 (*.f64 y (pow.f64 z 2)) t)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 y (pow.f64 z 2)) t)) (*.f64 -1/6 (/.f64 (*.f64 y (pow.f64 z 3)) t))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 y (pow.f64 z 2)) t)) (+.f64 (*.f64 -1/24 (/.f64 (*.f64 y (pow.f64 z 4)) t)) (*.f64 -1/6 (/.f64 (*.f64 y (pow.f64 z 3)) t)))))
Outputs
(*.f64 -1 z)
(neg.f64 z)
(+.f64 (*.f64 -1 z) (*.f64 -1/2 (pow.f64 z 2)))
(fma.f64 -1 z (*.f64 -1/2 (*.f64 z z)))
(-.f64 (*.f64 -1/2 (*.f64 z z)) z)
(*.f64 z (fma.f64 z -1/2 -1))
(+.f64 (*.f64 -1 z) (+.f64 (*.f64 -1/2 (pow.f64 z 2)) (*.f64 -1/6 (pow.f64 z 3))))
(fma.f64 -1 z (fma.f64 -1/2 (*.f64 z z) (*.f64 -1/6 (pow.f64 z 3))))
(-.f64 (fma.f64 -1/2 (*.f64 z z) (*.f64 -1/6 (pow.f64 z 3))) z)
(-.f64 (*.f64 (*.f64 z z) (+.f64 (*.f64 z -1/6) -1/2)) z)
(-.f64 (*.f64 (*.f64 z z) (fma.f64 z -1/6 -1/2)) z)
(+.f64 (*.f64 -1 z) (+.f64 (*.f64 -1/2 (pow.f64 z 2)) (+.f64 (*.f64 -1/6 (pow.f64 z 3)) (*.f64 -1/24 (pow.f64 z 4)))))
(fma.f64 -1 z (fma.f64 -1/2 (*.f64 z z) (fma.f64 -1/6 (pow.f64 z 3) (*.f64 -1/24 (pow.f64 z 4)))))
(-.f64 (fma.f64 -1/2 (*.f64 z z) (fma.f64 -1/6 (pow.f64 z 3) (*.f64 -1/24 (pow.f64 z 4)))) z)
(-.f64 (fma.f64 -1/24 (pow.f64 z 4) (*.f64 (*.f64 z z) (+.f64 (*.f64 z -1/6) -1/2))) z)
(fma.f64 -1/24 (pow.f64 z 4) (-.f64 (*.f64 (*.f64 z z) (fma.f64 z -1/6 -1/2)) z))
(fma.f64 z (*.f64 z (fma.f64 z -1/6 -1/2)) (-.f64 (*.f64 -1/24 (pow.f64 z 4)) z))
(*.f64 -1 (/.f64 (*.f64 y z) t))
(neg.f64 (/.f64 (*.f64 z y) t))
(/.f64 (*.f64 (neg.f64 z) y) t)
(*.f64 (/.f64 y t) (neg.f64 z))
(*.f64 (neg.f64 z) (/.f64 y t))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) (*.f64 -1/2 (/.f64 (*.f64 y (pow.f64 z 2)) t)))
(fma.f64 -1 (/.f64 (*.f64 z y) t) (*.f64 -1/2 (/.f64 y (/.f64 t (*.f64 z z)))))
(-.f64 (*.f64 -1/2 (*.f64 (/.f64 y t) (*.f64 z z))) (*.f64 (/.f64 y t) z))
(-.f64 (*.f64 -1/2 (/.f64 (*.f64 z z) (/.f64 t y))) (*.f64 z (/.f64 y t)))
(*.f64 (/.f64 y t) (*.f64 z (fma.f64 z -1/2 -1)))
(*.f64 (*.f64 z (/.f64 y t)) (fma.f64 z -1/2 -1))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 y (pow.f64 z 2)) t)) (*.f64 -1/6 (/.f64 (*.f64 y (pow.f64 z 3)) t))))
(fma.f64 -1 (/.f64 (*.f64 z y) t) (fma.f64 -1/2 (/.f64 y (/.f64 t (*.f64 z z))) (*.f64 -1/6 (/.f64 (*.f64 (pow.f64 z 3) y) t))))
(-.f64 (fma.f64 -1/2 (*.f64 (/.f64 y t) (*.f64 z z)) (*.f64 -1/6 (*.f64 (/.f64 y t) (pow.f64 z 3)))) (*.f64 (/.f64 y t) z))
(-.f64 (fma.f64 -1/2 (/.f64 (*.f64 z z) (/.f64 t y)) (*.f64 -1/6 (*.f64 (pow.f64 z 3) (/.f64 y t)))) (*.f64 z (/.f64 y t)))
(-.f64 (*.f64 (/.f64 y t) (*.f64 (*.f64 z z) (fma.f64 z -1/6 -1/2))) (*.f64 z (/.f64 y t)))
(*.f64 (/.f64 y t) (-.f64 (*.f64 (*.f64 z z) (fma.f64 z -1/6 -1/2)) z))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 y (pow.f64 z 2)) t)) (+.f64 (*.f64 -1/24 (/.f64 (*.f64 y (pow.f64 z 4)) t)) (*.f64 -1/6 (/.f64 (*.f64 y (pow.f64 z 3)) t)))))
(fma.f64 -1 (/.f64 (*.f64 z y) t) (fma.f64 -1/2 (/.f64 y (/.f64 t (*.f64 z z))) (fma.f64 -1/24 (/.f64 (*.f64 (pow.f64 z 4) y) t) (*.f64 -1/6 (/.f64 (*.f64 (pow.f64 z 3) y) t)))))
(-.f64 (fma.f64 -1/2 (*.f64 (/.f64 y t) (*.f64 z z)) (fma.f64 -1/6 (*.f64 (/.f64 y t) (pow.f64 z 3)) (*.f64 -1/24 (*.f64 (/.f64 y t) (pow.f64 z 4))))) (*.f64 (/.f64 y t) z))
(-.f64 (fma.f64 -1/2 (/.f64 (*.f64 z z) (/.f64 t y)) (fma.f64 -1/6 (*.f64 (pow.f64 z 3) (/.f64 y t)) (*.f64 -1/24 (*.f64 (pow.f64 z 4) (/.f64 y t))))) (*.f64 z (/.f64 y t)))
(+.f64 (*.f64 (/.f64 y t) (*.f64 z (fma.f64 z -1/2 -1))) (*.f64 (/.f64 y t) (*.f64 (pow.f64 z 3) (+.f64 -1/6 (*.f64 z -1/24)))))
(*.f64 (/.f64 y t) (fma.f64 z (*.f64 z (fma.f64 z -1/6 -1/2)) (-.f64 (*.f64 -1/24 (pow.f64 z 4)) z)))

localize6.0ms (0%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.3b
(pow.f64 (sqrt.f64 x) 2)
Compiler

Compiled 12 to 8 computations (33.3% saved)

series3.0ms (0%)

Counts
1 → 0
Calls

3 calls:

TimeVariablePointExpression
1.0ms
x
@-inf
(pow.f64 (sqrt.f64 x) 2)
1.0ms
x
@0
(pow.f64 (sqrt.f64 x) 2)
1.0ms
x
@inf
(pow.f64 (sqrt.f64 x) 2)

rewrite48.0ms (0.2%)

Algorithm
1×batch-egg-rewrite
Rules
323×pow1_binary64
315×add-sqr-sqrt_binary64
306×*-un-lft-identity_binary64
302×add-log-exp_binary64
302×log1p-expm1-u_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
051
11041
28801
Stop Event
1×node limit
Counts
1 → 39
Calls
Call 1
Inputs
(pow.f64 (sqrt.f64 x) 2)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 x))) (log.f64 (sqrt.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (cbrt.f64 (exp.f64 (+.f64 x x)))) (log.f64 (cbrt.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 x) (cbrt.f64 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 x) (pow.f64 (*.f64 x (cbrt.f64 x)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 x) (*.f64 (cbrt.f64 (*.f64 x x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x 1/4) (pow.f64 x 3/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x 1/4) (*.f64 (pow.f64 x 3/4) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x (cbrt.f64 x))) (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 x x))) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (*.f64 x x))) (*.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x 1/8) (*.f64 (pow.f64 x 1/8) (pow.f64 x 3/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x 1/6) (pow.f64 x 5/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x 1/6) (*.f64 (pow.f64 (sqrt.f64 x) 1/6) (pow.f64 x 3/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x 3/4) (pow.f64 x 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x 5/6) (pow.f64 x 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x (pow.f64 (cbrt.f64 x) 5))) (cbrt.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 x) 5)) (pow.f64 x 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 x (cbrt.f64 x)) 1/2) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 x) 5) 1/2) (pow.f64 x 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 x (pow.f64 (cbrt.f64 x) 5)) 1/3) (cbrt.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 1 x) 3) 1) (+.f64 (*.f64 (+.f64 1 x) (+.f64 1 x)) (+.f64 1 (*.f64 (+.f64 1 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (+.f64 1 x) (+.f64 1 x)) 1) (+.f64 (+.f64 1 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 x)))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x . x)))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x x)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 x)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 x)) 3))))))

simplify9.0ms (0%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
000
Stop Event
1×saturated
Counts
39 → 39
Calls
Call 1
Inputs
Outputs

eval366.0ms (1.7%)

Compiler

Compiled 17027 to 6403 computations (62.4% saved)

prune186.0ms (0.9%)

Pruning

30 alts after pruning (17 fresh and 13 done)

PrunedKeptTotal
New77311784
Fresh066
Picked011
Done11213
Total77430804
Error
0b
Counts
804 → 30
Alt Table
Click to see full alt table
StatusErrorProgram
✓41.5b
(pow.f64 (sqrt.f64 x) 2)
✓16.9b
(-.f64 x (*.f64 z (*.f64 y (/.f64 1 t))))
50.7b
(sqrt.f64 (*.f64 x x))
✓0.8b
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))
51.3b
(/.f64 (-.f64 (*.f64 (+.f64 1 x) (+.f64 1 x)) 1) (+.f64 (+.f64 1 x) 1))
27.7b
(-.f64 x (/.f64 (fma.f64 z y (*.f64 (*.f64 z z) (*.f64 (-.f64 y (*.f64 y y)) 1/2))) t))
40.3b
(*.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 x))
51.4b
(/.f64 (neg.f64 (*.f64 (expm1.f64 z) y)) t)
✓54.9b
(/.f64 (neg.f64 (*.f64 y z)) t)
✓16.4b
(-.f64 x (/.f64 z (/.f64 t y)))
✓16.3b
(-.f64 x (/.f64 (*.f64 z y) t))
57.9b
(-.f64 x (+.f64 (/.f64 (log.f64 (expm1.f64 z)) t) (/.f64 (log.f64 y) t)))
18.1b
x
✓16.3b
(-.f64 x (*.f64 (/.f64 1 t) (/.f64 z (/.f64 1 y))))
32.3b
(-.f64 (+.f64 1 x) 1)
✓45.6b
(/.f64 (neg.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) t)
51.6b
(exp.f64 (*.f64 (log.f64 (*.f64 x x)) 1/2))
43.2b
(*.f64 (pow.f64 x 5/6) (pow.f64 x 1/6))
✓33.5b
(pow.f64 (sqrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) 2)
17.5b
(-.f64 x (/.f64 (/.f64 z t) (/.f64 1 y)))
43.3b
(exp.f64 (log.f64 x))
✓0.8b
(-.f64 x (*.f64 (/.f64 1 t) (log1p.f64 (*.f64 y (expm1.f64 z)))))
16.5b
(-.f64 x (/.f64 (neg.f64 z) (*.f64 t (/.f64 -1 y))))
✓9.7b
(-.f64 x (*.f64 (/.f64 y t) (expm1.f64 z)))
45.7b
(*.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (/.f64 1 (neg.f64 t)))
40.6b
(fabs.f64 x)
✓55.2b
(*.f64 y (/.f64 (neg.f64 z) t))
✓58.6b
(/.f64 (*.f64 y (-.f64 1 (exp.f64 z))) t)
55.2b
(neg.f64 (/.f64 y (/.f64 t z)))
43.5b
(exp.f64 (*.f64 (*.f64 3 (log.f64 x)) 1/3))
Compiler

Compiled 356 to 263 computations (26.1% saved)

regimes185.0ms (0.9%)

Counts
39 → 1
Calls
Call 1
Inputs
x
(-.f64 (+.f64 1 x) 1)
(/.f64 y (/.f64 t z))
(neg.f64 (/.f64 y (/.f64 t z)))
(*.f64 (/.f64 y t) (neg.f64 z))
(/.f64 (neg.f64 (*.f64 y z)) t)
(*.f64 y (/.f64 (neg.f64 z) t))
(-.f64 x (/.f64 y (/.f64 t z)))
(-.f64 x (/.f64 z (/.f64 t y)))
(-.f64 x (*.f64 (/.f64 z t) y))
(-.f64 x (/.f64 (*.f64 z y) t))
(-.f64 x (/.f64 (/.f64 z t) (/.f64 1 y)))
(-.f64 x (*.f64 z (*.f64 y (/.f64 1 t))))
(-.f64 x (/.f64 (neg.f64 z) (*.f64 t (/.f64 -1 y))))
(-.f64 x (*.f64 (/.f64 1 t) (/.f64 z (/.f64 1 y))))
(/.f64 (-.f64 (*.f64 (+.f64 1 x) (+.f64 1 x)) 1) (+.f64 (+.f64 1 x) 1))
(fabs.f64 x)
(sqrt.f64 (*.f64 x x))
(/.f64 (neg.f64 (*.f64 (expm1.f64 z) y)) t)
(/.f64 (neg.f64 (*.f64 y (expm1.f64 z))) t)
(/.f64 (*.f64 y (-.f64 1 (exp.f64 z))) t)
(-.f64 x (*.f64 (/.f64 y t) (expm1.f64 z)))
(/.f64 (neg.f64 (*.f64 (-.f64 (exp.f64 z) 1) y)) t)
(-.f64 x (/.f64 (fma.f64 z y (*.f64 (*.f64 z z) (*.f64 (-.f64 y (*.f64 y y)) 1/2))) t))
(exp.f64 (log.f64 x))
(pow.f64 (sqrt.f64 x) 2)
(*.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 x))
(exp.f64 (*.f64 (log.f64 (*.f64 x x)) 1/2))
(*.f64 (pow.f64 x 5/6) (pow.f64 x 1/6))
(exp.f64 (*.f64 (*.f64 3 (log.f64 x)) 1/3))
(/.f64 (neg.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) t)
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))
(*.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (/.f64 1 (neg.f64 t)))
(-.f64 x (*.f64 (/.f64 1 t) (log1p.f64 (*.f64 y (expm1.f64 z)))))
(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 1 y) (*.f64 y (exp.f64 z)))) t))
(-.f64 x (+.f64 (/.f64 (log.f64 (expm1.f64 z)) t) (/.f64 (log.f64 y) t)))
(-.f64 x (pow.f64 (sqrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 2))
(pow.f64 (sqrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) 2)
(-.f64 x (*.f64 (/.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 1) (/.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) t)))
Outputs
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))
Calls

13 calls:

40.0ms
(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 1 y) (*.f64 y (exp.f64 z)))) t))
28.0ms
x
23.0ms
y
22.0ms
t
20.0ms
z
Results
ErrorSegmentsBranch
0.8b1x
0.8b1y
0.8b1z
0.8b1t
0.8b1(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 1 y) (*.f64 y (exp.f64 z)))) t))
0.8b1(/.f64 (log.f64 (+.f64 (-.f64 1 y) (*.f64 y (exp.f64 z)))) t)
0.8b1(/.f64 (log.f64 (+.f64 (-.f64 1 y) (*.f64 y (exp.f64 z)))) t)
0.8b1(log.f64 (+.f64 (-.f64 1 y) (*.f64 y (exp.f64 z))))
0.8b1(log.f64 (+.f64 (-.f64 1 y) (*.f64 y (exp.f64 z))))
0.8b1(+.f64 (-.f64 1 y) (*.f64 y (exp.f64 z)))
0.8b1(+.f64 (-.f64 1 y) (*.f64 y (exp.f64 z)))
0.8b1(exp.f64 z)
0.8b1(exp.f64 z)
Compiler

Compiled 454 to 253 computations (44.3% saved)

regimes220.0ms (1%)

Counts
31 → 3
Calls
Call 1
Inputs
x
(-.f64 (+.f64 1 x) 1)
(/.f64 y (/.f64 t z))
(neg.f64 (/.f64 y (/.f64 t z)))
(*.f64 (/.f64 y t) (neg.f64 z))
(/.f64 (neg.f64 (*.f64 y z)) t)
(*.f64 y (/.f64 (neg.f64 z) t))
(-.f64 x (/.f64 y (/.f64 t z)))
(-.f64 x (/.f64 z (/.f64 t y)))
(-.f64 x (*.f64 (/.f64 z t) y))
(-.f64 x (/.f64 (*.f64 z y) t))
(-.f64 x (/.f64 (/.f64 z t) (/.f64 1 y)))
(-.f64 x (*.f64 z (*.f64 y (/.f64 1 t))))
(-.f64 x (/.f64 (neg.f64 z) (*.f64 t (/.f64 -1 y))))
(-.f64 x (*.f64 (/.f64 1 t) (/.f64 z (/.f64 1 y))))
(/.f64 (-.f64 (*.f64 (+.f64 1 x) (+.f64 1 x)) 1) (+.f64 (+.f64 1 x) 1))
(fabs.f64 x)
(sqrt.f64 (*.f64 x x))
(/.f64 (neg.f64 (*.f64 (expm1.f64 z) y)) t)
(/.f64 (neg.f64 (*.f64 y (expm1.f64 z))) t)
(/.f64 (*.f64 y (-.f64 1 (exp.f64 z))) t)
(-.f64 x (*.f64 (/.f64 y t) (expm1.f64 z)))
(/.f64 (neg.f64 (*.f64 (-.f64 (exp.f64 z) 1) y)) t)
(-.f64 x (/.f64 (fma.f64 z y (*.f64 (*.f64 z z) (*.f64 (-.f64 y (*.f64 y y)) 1/2))) t))
(exp.f64 (log.f64 x))
(pow.f64 (sqrt.f64 x) 2)
(*.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 x))
(exp.f64 (*.f64 (log.f64 (*.f64 x x)) 1/2))
(*.f64 (pow.f64 x 5/6) (pow.f64 x 1/6))
(exp.f64 (*.f64 (*.f64 3 (log.f64 x)) 1/3))
(/.f64 (neg.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) t)
Outputs
(/.f64 (neg.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) t)
(-.f64 x (*.f64 (/.f64 y t) (expm1.f64 z)))
(-.f64 x (/.f64 (*.f64 z y) t))
Calls

6 calls:

86.0ms
y
68.0ms
x
31.0ms
z
16.0ms
t
5.0ms
(exp.f64 z)
Results
ErrorSegmentsBranch
8.3b3x
6.7b3y
8.1b2z
9.7b1t
8.2b2(exp.f64 z)
8.2b2(exp.f64 z)
Compiler

Compiled 259 to 144 computations (44.4% saved)

bsearch507.0ms (2.4%)

Algorithm
2×binary-search
Steps
TimeLeftRight
105.0ms
3.857928309588683e+51
4.702075959844424e+61
402.0ms
-6.431150359424059e+168
-1.0612811641598818e+161
Compiler

Compiled 508 to 359 computations (29.3% saved)

regimes202.0ms (1%)

Counts
30 → 2
Calls
Call 1
Inputs
x
(-.f64 (+.f64 1 x) 1)
(/.f64 y (/.f64 t z))
(neg.f64 (/.f64 y (/.f64 t z)))
(*.f64 (/.f64 y t) (neg.f64 z))
(/.f64 (neg.f64 (*.f64 y z)) t)
(*.f64 y (/.f64 (neg.f64 z) t))
(-.f64 x (/.f64 y (/.f64 t z)))
(-.f64 x (/.f64 z (/.f64 t y)))
(-.f64 x (*.f64 (/.f64 z t) y))
(-.f64 x (/.f64 (*.f64 z y) t))
(-.f64 x (/.f64 (/.f64 z t) (/.f64 1 y)))
(-.f64 x (*.f64 z (*.f64 y (/.f64 1 t))))
(-.f64 x (/.f64 (neg.f64 z) (*.f64 t (/.f64 -1 y))))
(-.f64 x (*.f64 (/.f64 1 t) (/.f64 z (/.f64 1 y))))
(/.f64 (-.f64 (*.f64 (+.f64 1 x) (+.f64 1 x)) 1) (+.f64 (+.f64 1 x) 1))
(fabs.f64 x)
(sqrt.f64 (*.f64 x x))
(/.f64 (neg.f64 (*.f64 (expm1.f64 z) y)) t)
(/.f64 (neg.f64 (*.f64 y (expm1.f64 z))) t)
(/.f64 (*.f64 y (-.f64 1 (exp.f64 z))) t)
(-.f64 x (*.f64 (/.f64 y t) (expm1.f64 z)))
(/.f64 (neg.f64 (*.f64 (-.f64 (exp.f64 z) 1) y)) t)
(-.f64 x (/.f64 (fma.f64 z y (*.f64 (*.f64 z z) (*.f64 (-.f64 y (*.f64 y y)) 1/2))) t))
(exp.f64 (log.f64 x))
(pow.f64 (sqrt.f64 x) 2)
(*.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 x))
(exp.f64 (*.f64 (log.f64 (*.f64 x x)) 1/2))
(*.f64 (pow.f64 x 5/6) (pow.f64 x 1/6))
(exp.f64 (*.f64 (*.f64 3 (log.f64 x)) 1/3))
Outputs
(-.f64 x (*.f64 (/.f64 y t) (expm1.f64 z)))
(-.f64 x (/.f64 (*.f64 z y) t))
Calls

6 calls:

78.0ms
y
65.0ms
z
20.0ms
t
18.0ms
x
8.0ms
(exp.f64 z)
Results
ErrorSegmentsBranch
9.7b1x
8.5b2y
8.1b2z
9.7b1t
8.2b2(exp.f64 z)
8.2b2(exp.f64 z)
Compiler

Compiled 251 to 141 computations (43.8% saved)

bsearch825.0ms (3.9%)

Algorithm
1×binary-search
Steps
TimeLeftRight
824.0ms
-2.166572067474004e-134
-2.518760820757627e-136
Compiler

Compiled 199 to 137 computations (31.2% saved)

regimes190.0ms (0.9%)

Counts
21 → 2
Calls
Call 1
Inputs
x
(-.f64 (+.f64 1 x) 1)
(/.f64 y (/.f64 t z))
(neg.f64 (/.f64 y (/.f64 t z)))
(*.f64 (/.f64 y t) (neg.f64 z))
(/.f64 (neg.f64 (*.f64 y z)) t)
(*.f64 y (/.f64 (neg.f64 z) t))
(-.f64 x (/.f64 y (/.f64 t z)))
(-.f64 x (/.f64 z (/.f64 t y)))
(-.f64 x (*.f64 (/.f64 z t) y))
(-.f64 x (/.f64 (*.f64 z y) t))
(-.f64 x (/.f64 (/.f64 z t) (/.f64 1 y)))
(-.f64 x (*.f64 z (*.f64 y (/.f64 1 t))))
(-.f64 x (/.f64 (neg.f64 z) (*.f64 t (/.f64 -1 y))))
(-.f64 x (*.f64 (/.f64 1 t) (/.f64 z (/.f64 1 y))))
(/.f64 (-.f64 (*.f64 (+.f64 1 x) (+.f64 1 x)) 1) (+.f64 (+.f64 1 x) 1))
(fabs.f64 x)
(sqrt.f64 (*.f64 x x))
(/.f64 (neg.f64 (*.f64 (expm1.f64 z) y)) t)
(/.f64 (neg.f64 (*.f64 y (expm1.f64 z))) t)
(/.f64 (*.f64 y (-.f64 1 (exp.f64 z))) t)
Outputs
x
(-.f64 x (/.f64 (*.f64 z y) t))
Calls

6 calls:

65.0ms
y
47.0ms
z
35.0ms
t
25.0ms
x
6.0ms
(exp.f64 z)
Results
ErrorSegmentsBranch
14.4b2x
14.1b3y
10.7b2z
14.5b2t
10.7b2(exp.f64 z)
10.7b2(exp.f64 z)
Compiler

Compiled 181 to 103 computations (43.1% saved)

bsearch0.0ms (0%)

Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
0.02342122133522497
0.9989561485945997
Compiler

Compiled 24 to 18 computations (25% saved)

regimes80.0ms (0.4%)

Counts
10 → 2
Calls
Call 1
Inputs
x
(-.f64 (+.f64 1 x) 1)
(/.f64 y (/.f64 t z))
(neg.f64 (/.f64 y (/.f64 t z)))
(*.f64 (/.f64 y t) (neg.f64 z))
(/.f64 (neg.f64 (*.f64 y z)) t)
(*.f64 y (/.f64 (neg.f64 z) t))
(-.f64 x (/.f64 y (/.f64 t z)))
(-.f64 x (/.f64 z (/.f64 t y)))
(-.f64 x (*.f64 (/.f64 z t) y))
Outputs
x
(-.f64 x (*.f64 (/.f64 z t) y))
Calls

4 calls:

27.0ms
y
20.0ms
t
16.0ms
x
13.0ms
z
Results
ErrorSegmentsBranch
14.6b2x
13.4b4y
11.0b2z
15.4b2t
Compiler

Compiled 80 to 42 computations (47.5% saved)

bsearch349.0ms (1.7%)

Algorithm
1×binary-search
Steps
TimeLeftRight
349.0ms
-3.7541127729312582
-0.0010443965977113975
Compiler

Compiled 168 to 122 computations (27.4% saved)

regimes196.0ms (0.9%)

Counts
9 → 2
Calls
Call 1
Inputs
x
(-.f64 (+.f64 1 x) 1)
(/.f64 y (/.f64 t z))
(neg.f64 (/.f64 y (/.f64 t z)))
(*.f64 (/.f64 y t) (neg.f64 z))
(/.f64 (neg.f64 (*.f64 y z)) t)
(*.f64 y (/.f64 (neg.f64 z) t))
(-.f64 x (/.f64 y (/.f64 t z)))
(-.f64 x (/.f64 z (/.f64 t y)))
Outputs
x
(-.f64 x (/.f64 y (/.f64 t z)))
Calls

4 calls:

78.0ms
x
69.0ms
t
29.0ms
y
16.0ms
z
Results
ErrorSegmentsBranch
14.6b2x
13.5b4y
11.0b2z
15.4b2t
Compiler

Compiled 73 to 39 computations (46.6% saved)

bsearch363.0ms (1.7%)

Algorithm
1×binary-search
Steps
TimeLeftRight
363.0ms
-3.7541127729312582
-0.0010443965977113975
Compiler

Compiled 168 to 122 computations (27.4% saved)

regimes55.0ms (0.3%)

Counts
7 → 3
Calls
Call 1
Inputs
x
(-.f64 (+.f64 1 x) 1)
(/.f64 y (/.f64 t z))
(neg.f64 (/.f64 y (/.f64 t z)))
(*.f64 (/.f64 y t) (neg.f64 z))
(/.f64 (neg.f64 (*.f64 y z)) t)
(*.f64 y (/.f64 (neg.f64 z) t))
Outputs
x
(/.f64 (neg.f64 (*.f64 y z)) t)
x
Calls

4 calls:

21.0ms
t
20.0ms
x
6.0ms
y
6.0ms
z
Results
ErrorSegmentsBranch
16.2b3x
18.1b1y
18.1b1z
17.0b3t
Compiler

Compiled 59 to 35 computations (40.7% saved)

bsearch604.0ms (2.9%)

Algorithm
2×binary-search
Steps
TimeLeftRight
323.0ms
3.8827981236615874e-191
1.4302419616822644e-189
281.0ms
-6.139603006870538e-212
-3.6126449664846515e-212
Compiler

Compiled 24 to 18 computations (25% saved)

regimes119.0ms (0.6%)

Counts
5 → 3
Calls
Call 1
Inputs
x
(-.f64 (+.f64 1 x) 1)
(/.f64 y (/.f64 t z))
(neg.f64 (/.f64 y (/.f64 t z)))
(*.f64 (/.f64 y t) (neg.f64 z))
Outputs
x
(*.f64 (/.f64 y t) (neg.f64 z))
x
Calls

4 calls:

43.0ms
t
34.0ms
z
30.0ms
x
9.0ms
y
Results
ErrorSegmentsBranch
16.2b3x
18.1b1y
18.1b1z
17.0b3t
Compiler

Compiled 47 to 30 computations (36.2% saved)

bsearch519.0ms (2.5%)

Algorithm
2×binary-search
Steps
TimeLeftRight
277.0ms
4.868590619286073e-228
8.180251656410001e-226
242.0ms
-1.3756221580554794e-186
-4.902232871606891e-192
Compiler

Compiled 24 to 18 computations (25% saved)

regimes78.0ms (0.4%)

Counts
4 → 3
Calls
Call 1
Inputs
x
(-.f64 (+.f64 1 x) 1)
(/.f64 y (/.f64 t z))
(neg.f64 (/.f64 y (/.f64 t z)))
Outputs
x
(neg.f64 (/.f64 y (/.f64 t z)))
x
Calls

4 calls:

28.0ms
x
28.0ms
t
10.0ms
z
9.0ms
y
Results
ErrorSegmentsBranch
16.7b3x
18.1b1y
18.1b1z
17.0b3t
Compiler

Compiled 41 to 27 computations (34.1% saved)

bsearch416.0ms (2%)

Algorithm
2×binary-search
Steps
TimeLeftRight
189.0ms
3.8827981236615874e-191
1.4302419616822644e-189
226.0ms
-6.139603006870538e-212
-3.6126449664846515e-212
Compiler

Compiled 24 to 18 computations (25% saved)

regimes66.0ms (0.3%)

Accuracy

Total -44.3b remaining (-244.6%)

Threshold costs -44.3b (-244.6%)

Counts
3 → 1
Calls
Call 1
Inputs
x
(-.f64 (+.f64 1 x) 1)
(/.f64 y (/.f64 t z))
Outputs
x
Calls

4 calls:

35.0ms
z
11.0ms
x
9.0ms
y
9.0ms
t
Results
ErrorSegmentsBranch
18.1b1x
18.1b1y
18.1b1z
18.1b1t
Compiler

Compiled 35 to 26 computations (25.7% saved)

simplify35.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
19×*-commutative_binary64
18×+-commutative_binary64
18×sub-neg_binary64
13×neg-sub0_binary64
13×neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
064212
1104212
2150212
3173212
4183212
5184212
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))
(if (<=.f64 y -6400000000000000247097563439484892177881731295446428093083125092388953025055535530892633072290762901987568057783241921945044946530349344564682675031912360473646514307072) (/.f64 (neg.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) t) (if (<=.f64 y 46999999999999998334819205315458827276434300242377841626316800) (-.f64 x (*.f64 (/.f64 y t) (expm1.f64 z))) (-.f64 x (/.f64 (*.f64 z y) t))))
(if (<=.f64 z -8797237258720881/409173825987017733751648712103449894027080255755383098685411421012016724550584319360408761540738019643860835515945008876152157068235674131666065948672) (-.f64 x (*.f64 (/.f64 y t) (expm1.f64 z))) (-.f64 x (/.f64 (*.f64 z y) t)))
(if (<=.f64 (exp.f64 z) 737869762948382080/18446744073709551616) x (-.f64 x (/.f64 (*.f64 z y) t)))
(if (<=.f64 z -19369081277395028/18446744073709551616) x (-.f64 x (*.f64 (/.f64 z t) y)))
(if (<=.f64 z -19369081277395028/18446744073709551616) x (-.f64 x (/.f64 y (/.f64 t z))))
(if (<=.f64 x -5817776335272427/94758184344525691842589080106353915726128296943157752144717531617800961467674370503593652882607817257720198406807316479868870852301929589321550737002025216015896910157522577243058183937475491017166931103132108688408987234729984) x (if (<=.f64 x 6232924135967095/160526608323619796973907161953128926560984491052953303817696560762595585763460718448293046151049452246917204860112860647980329353338128780002679894123897731016699941135511614935048332454965903237038978629632) (/.f64 (neg.f64 (*.f64 y z)) t) x))
(if (<=.f64 x -26956049727473700/19595533242629369747791401605606558418088927130487463844933662202465281465266200982457647235235528838735010358900495684567911298014908298340170885513171109743249504533143507682501017145381579984990109696) x (if (<=.f64 x 8310741124398849/1707011694817242694164442058424641996069058130512872489061441999811593532881313810309486643423117898430190057111918909554147533223454557460573019149396692491800360340355587726966548041193424390330615044130786970107312831497593974090537952608256) (*.f64 (/.f64 y t) (neg.f64 z)) x))
(if (<=.f64 x -5817776335272427/94758184344525691842589080106353915726128296943157752144717531617800961467674370503593652882607817257720198406807316479868870852301929589321550737002025216015896910157522577243058183937475491017166931103132108688408987234729984) x (if (<=.f64 x 6232924135967095/160526608323619796973907161953128926560984491052953303817696560762595585763460718448293046151049452246917204860112860647980329353338128780002679894123897731016699941135511614935048332454965903237038978629632) (neg.f64 (/.f64 y (/.f64 t z))) x))
x
Outputs
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))
(if (<=.f64 y -6400000000000000247097563439484892177881731295446428093083125092388953025055535530892633072290762901987568057783241921945044946530349344564682675031912360473646514307072) (/.f64 (neg.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) t) (if (<=.f64 y 46999999999999998334819205315458827276434300242377841626316800) (-.f64 x (*.f64 (/.f64 y t) (expm1.f64 z))) (-.f64 x (/.f64 (*.f64 z y) t))))
(if (<=.f64 y -6400000000000000247097563439484892177881731295446428093083125092388953025055535530892633072290762901987568057783241921945044946530349344564682675031912360473646514307072) (/.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) t) (if (<=.f64 y 46999999999999998334819205315458827276434300242377841626316800) (-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t))) (-.f64 x (/.f64 (*.f64 y z) t))))
(if (<=.f64 z -8797237258720881/409173825987017733751648712103449894027080255755383098685411421012016724550584319360408761540738019643860835515945008876152157068235674131666065948672) (-.f64 x (*.f64 (/.f64 y t) (expm1.f64 z))) (-.f64 x (/.f64 (*.f64 z y) t)))
(if (<=.f64 z -8797237258720881/409173825987017733751648712103449894027080255755383098685411421012016724550584319360408761540738019643860835515945008876152157068235674131666065948672) (-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t))) (-.f64 x (/.f64 (*.f64 y z) t)))
(if (<=.f64 (exp.f64 z) 737869762948382080/18446744073709551616) x (-.f64 x (/.f64 (*.f64 z y) t)))
(if (<=.f64 (exp.f64 z) 5764607523034235/144115188075855872) x (-.f64 x (/.f64 (*.f64 y z) t)))
(if (<=.f64 z -19369081277395028/18446744073709551616) x (-.f64 x (*.f64 (/.f64 z t) y)))
(if (<=.f64 z -4842270319348757/4611686018427387904) x (-.f64 x (*.f64 y (/.f64 z t))))
(if (<=.f64 z -19369081277395028/18446744073709551616) x (-.f64 x (/.f64 y (/.f64 t z))))
(if (<=.f64 z -4842270319348757/4611686018427387904) x (-.f64 x (/.f64 y (/.f64 t z))))
(if (<=.f64 x -5817776335272427/94758184344525691842589080106353915726128296943157752144717531617800961467674370503593652882607817257720198406807316479868870852301929589321550737002025216015896910157522577243058183937475491017166931103132108688408987234729984) x (if (<=.f64 x 6232924135967095/160526608323619796973907161953128926560984491052953303817696560762595585763460718448293046151049452246917204860112860647980329353338128780002679894123897731016699941135511614935048332454965903237038978629632) (/.f64 (neg.f64 (*.f64 y z)) t) x))
(if (<=.f64 x -5817776335272427/94758184344525691842589080106353915726128296943157752144717531617800961467674370503593652882607817257720198406807316479868870852301929589321550737002025216015896910157522577243058183937475491017166931103132108688408987234729984) x (if (<=.f64 x 6232924135967095/160526608323619796973907161953128926560984491052953303817696560762595585763460718448293046151049452246917204860112860647980329353338128780002679894123897731016699941135511614935048332454965903237038978629632) (/.f64 (*.f64 (neg.f64 y) z) t) x))
(if (<=.f64 x -5817776335272427/94758184344525691842589080106353915726128296943157752144717531617800961467674370503593652882607817257720198406807316479868870852301929589321550737002025216015896910157522577243058183937475491017166931103132108688408987234729984) x (if (<=.f64 x 6232924135967095/160526608323619796973907161953128926560984491052953303817696560762595585763460718448293046151049452246917204860112860647980329353338128780002679894123897731016699941135511614935048332454965903237038978629632) (/.f64 (*.f64 z (neg.f64 y)) t) x))
(if (<=.f64 x -26956049727473700/19595533242629369747791401605606558418088927130487463844933662202465281465266200982457647235235528838735010358900495684567911298014908298340170885513171109743249504533143507682501017145381579984990109696) x (if (<=.f64 x 8310741124398849/1707011694817242694164442058424641996069058130512872489061441999811593532881313810309486643423117898430190057111918909554147533223454557460573019149396692491800360340355587726966548041193424390330615044130786970107312831497593974090537952608256) (*.f64 (/.f64 y t) (neg.f64 z)) x))
(if (<=.f64 x -6739012431868425/4898883310657342436947850401401639604522231782621865961233415550616320366316550245614411808808882209683752589725123921141977824503727074585042721378292777435812376133285876920625254286345394996247527424) x (if (<=.f64 x 8310741124398849/1707011694817242694164442058424641996069058130512872489061441999811593532881313810309486643423117898430190057111918909554147533223454557460573019149396692491800360340355587726966548041193424390330615044130786970107312831497593974090537952608256) (*.f64 (/.f64 y t) (neg.f64 z)) x))
(if (<=.f64 x -6739012431868425/4898883310657342436947850401401639604522231782621865961233415550616320366316550245614411808808882209683752589725123921141977824503727074585042721378292777435812376133285876920625254286345394996247527424) x (if (<=.f64 x 8310741124398849/1707011694817242694164442058424641996069058130512872489061441999811593532881313810309486643423117898430190057111918909554147533223454557460573019149396692491800360340355587726966548041193424390330615044130786970107312831497593974090537952608256) (*.f64 z (/.f64 (neg.f64 y) t)) x))
(if (<=.f64 x -5817776335272427/94758184344525691842589080106353915726128296943157752144717531617800961467674370503593652882607817257720198406807316479868870852301929589321550737002025216015896910157522577243058183937475491017166931103132108688408987234729984) x (if (<=.f64 x 6232924135967095/160526608323619796973907161953128926560984491052953303817696560762595585763460718448293046151049452246917204860112860647980329353338128780002679894123897731016699941135511614935048332454965903237038978629632) (neg.f64 (/.f64 y (/.f64 t z))) x))
(if (<=.f64 x -5817776335272427/94758184344525691842589080106353915726128296943157752144717531617800961467674370503593652882607817257720198406807316479868870852301929589321550737002025216015896910157522577243058183937475491017166931103132108688408987234729984) x (if (<=.f64 x 6232924135967095/160526608323619796973907161953128926560984491052953303817696560762595585763460718448293046151049452246917204860112860647980329353338128780002679894123897731016699941135511614935048332454965903237038978629632) (/.f64 (neg.f64 y) (/.f64 t z)) x))
x
Compiler

Compiled 185 to 118 computations (36.2% saved)

soundness306.0ms (1.5%)

Algorithm
1×egg-herbie
Rules
735×div-sub_binary64
611×fma-def_binary64
545×sub-neg_binary64
473×associate-/l*_binary64
373×fma-neg_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
01320
12318
24817
39617
420614
542714
672714
791514
8103214
9124614
10175614
11337014
12432614
13494914
14574814
15651714
16707214
17761414
18791214
Stop Event
1×node limit
Compiler

Compiled 226 to 161 computations (28.8% saved)

end112.0ms (0.5%)

Compiler

Compiled 149 to 66 computations (55.7% saved)

Profiling

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