Details

Time bar (total: 22.4s)

analyze598.0ms (2.7%)

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)

sample7.6s (33.8%)

Results
2.2s1569×body8192exit
1.9s1852×body1024valid
1.5s4674×body256valid
939.0ms1402×body512valid
455.0ms328×body2048valid
428.0ms2021×body256invalid
89.0ms185×body1024invalid
82.0ms271×body512invalid

preprocess128.0ms (0.6%)

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)

simplify152.0ms (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
0.5b
Counts
3 → 1
Alt Table
Click to see full alt table
StatusErrorProgram
▶0.5b
(-.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 4 expressions with local error:

NewErrorProgram
✓0.0b
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))
✓0.0b
(*.f64 y (expm1.f64 z))
✓0.2b
(log1p.f64 (*.f64 y (expm1.f64 z)))
✓3.0b
(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)
Compiler

Compiled 35 to 9 computations (74.3% saved)

series221.0ms (1%)

Counts
4 → 132
Calls

33 calls:

TimeVariablePointExpression
154.0ms
z
@inf
(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)
22.0ms
z
@-inf
(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)
20.0ms
t
@0
(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)
8.0ms
t
@inf
(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)
2.0ms
x
@0
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))

rewrite283.0ms (1.3%)

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
01039
121039
2285639
Stop Event
1×node limit
Counts
4 → 233
Calls
Call 1
Inputs
(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)
(log1p.f64 (*.f64 y (expm1.f64 z)))
(*.f64 y (expm1.f64 z))
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))
Outputs
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simplify214.0ms (1%)

Algorithm
1×egg-herbie
Rules
912×fma-def_binary64
609×associate-*l*_binary64
603×associate-*r*_binary64
372×distribute-rgt-in_binary64
351×distribute-lft-in_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02072738
16482655
221662603
Stop Event
1×node limit
Counts
365 → 341
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 (-.f64 (exp.f64 z) 1) y)
(*.f64 (-.f64 (exp.f64 z) 1) y)
(*.f64 (-.f64 (exp.f64 z) 1) y)
(*.f64 (-.f64 (exp.f64 z) 1) y)
(*.f64 (-.f64 (exp.f64 z) 1) y)
(*.f64 (-.f64 (exp.f64 z) 1) y)
(*.f64 (-.f64 (exp.f64 z) 1) y)
(*.f64 (-.f64 (exp.f64 z) 1) y)
(*.f64 (-.f64 (exp.f64 z) 1) y)
(*.f64 (-.f64 (exp.f64 z) 1) y)
(*.f64 (-.f64 (exp.f64 z) 1) y)
(*.f64 (-.f64 (exp.f64 z) 1) y)
(*.f64 y z)
(+.f64 (*.f64 y z) (*.f64 1/2 (*.f64 y (pow.f64 z 2))))
(+.f64 (*.f64 y z) (+.f64 (*.f64 1/2 (*.f64 y (pow.f64 z 2))) (*.f64 1/6 (*.f64 y (pow.f64 z 3)))))
(+.f64 (*.f64 y z) (+.f64 (*.f64 1/2 (*.f64 y (pow.f64 z 2))) (+.f64 (*.f64 1/24 (*.f64 y (pow.f64 z 4))) (*.f64 1/6 (*.f64 y (pow.f64 z 3))))))
(*.f64 (-.f64 (exp.f64 z) 1) y)
(*.f64 (-.f64 (exp.f64 z) 1) y)
(*.f64 (-.f64 (exp.f64 z) 1) y)
(*.f64 (-.f64 (exp.f64 z) 1) y)
(*.f64 (-.f64 (exp.f64 z) 1) y)
(*.f64 (-.f64 (exp.f64 z) 1) y)
(*.f64 (-.f64 (exp.f64 z) 1) y)
(*.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 (*.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))
(+.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 (/.f64 (expm1.f64 z) t) y (*.f64 (/.f64 (pow.f64 (expm1.f64 z) 3) t) (*.f64 (pow.f64 y 3) 1/3))))
(+.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 (/.f64 (expm1.f64 z) t) y (*.f64 (/.f64 (pow.f64 (expm1.f64 z) 3) t) (*.f64 (pow.f64 y 3) 1/3)))))
(/.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 (expm1.f64 z)) (*.f64 y t)) (/.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 (log.f64 y) t) (-.f64 (/.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 (log.f64 (expm1.f64 z)) (log.f64 y)) t) (-.f64 (/.f64 (/.f64 1 (expm1.f64 z)) (*.f64 y t)) (/.f64 (/.f64 (/.f64 1/2 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)))))
(+.f64 (/.f64 (log.f64 (expm1.f64 z)) t) (-.f64 (+.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 1/2 (*.f64 (pow.f64 (expm1.f64 z) 2) (*.f64 t (*.f64 y y))))))
(+.f64 (/.f64 (log.f64 (expm1.f64 z)) t) (+.f64 (/.f64 1/3 (*.f64 (pow.f64 (expm1.f64 z) 3) (*.f64 t (pow.f64 y 3)))) (+.f64 (/.f64 (log.f64 y) t) (-.f64 (/.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 (/.f64 1/3 (pow.f64 y 3)) (pow.f64 (expm1.f64 z) 3)) t) (+.f64 (/.f64 (+.f64 (log.f64 (expm1.f64 z)) (log.f64 y)) t) (-.f64 (/.f64 (/.f64 1 (expm1.f64 z)) (*.f64 y t)) (/.f64 (/.f64 (/.f64 1/2 t) (*.f64 y y)) (pow.f64 (expm1.f64 z) 2)))))
(/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1)))) t)
(/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 (neg.f64 (expm1.f64 z)))) t)
(/.f64 (-.f64 (log.f64 (neg.f64 (expm1.f64 z))) (log.f64 (/.f64 -1 y))) 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 (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 (*.f64 (expm1.f64 z) y)) t) (-.f64 (/.f64 (log.f64 (neg.f64 (expm1.f64 z))) t) (/.f64 (log.f64 (/.f64 -1 y)) t)))
(+.f64 (/.f64 (/.f64 1 (expm1.f64 z)) (*.f64 y t)) (/.f64 (-.f64 (log.f64 (neg.f64 (expm1.f64 z))) (log.f64 (/.f64 -1 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 (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 1/2 (*.f64 (pow.f64 (expm1.f64 z) 2) (*.f64 t (*.f64 y y)))))
(+.f64 (/.f64 (log.f64 (neg.f64 (expm1.f64 z))) t) (-.f64 (-.f64 (/.f64 (/.f64 1 (*.f64 (expm1.f64 z) y)) t) (/.f64 (log.f64 (/.f64 -1 y)) t)) (/.f64 1/2 (*.f64 (pow.f64 (expm1.f64 z) 2) (*.f64 y (*.f64 y t))))))
(+.f64 (/.f64 (-.f64 (log.f64 (neg.f64 (expm1.f64 z))) (log.f64 (/.f64 -1 y))) t) (-.f64 (/.f64 (/.f64 1 (expm1.f64 z)) (*.f64 y t)) (/.f64 (/.f64 (/.f64 1/2 t) (*.f64 y y)) (pow.f64 (expm1.f64 z) 2))))
(-.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 (log.f64 (neg.f64 (expm1.f64 z))) t) (-.f64 (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 1/2 (*.f64 (pow.f64 (expm1.f64 z) 2) (*.f64 t (*.f64 y y))))))
(+.f64 (/.f64 (log.f64 (neg.f64 (expm1.f64 z))) t) (+.f64 (+.f64 (/.f64 1/3 (*.f64 (pow.f64 (expm1.f64 z) 3) (*.f64 t (pow.f64 y 3)))) (-.f64 (/.f64 (/.f64 1 (*.f64 (expm1.f64 z) y)) t) (/.f64 (log.f64 (/.f64 -1 y)) t))) (/.f64 -1/2 (*.f64 (pow.f64 (expm1.f64 z) 2) (*.f64 y (*.f64 y t))))))
(+.f64 (+.f64 (/.f64 (/.f64 1 (expm1.f64 z)) (*.f64 y t)) (/.f64 (-.f64 (log.f64 (neg.f64 (expm1.f64 z))) (log.f64 (/.f64 -1 y))) t)) (+.f64 (/.f64 (/.f64 (/.f64 1/3 (pow.f64 y 3)) (pow.f64 (expm1.f64 z) 3)) t) (/.f64 (/.f64 -1/2 (pow.f64 (expm1.f64 z) 2)) (*.f64 t (*.f64 y y)))))
(/.f64 (*.f64 y z) t)
(/.f64 y (/.f64 t z))
(*.f64 (/.f64 y t) z)
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 z 2) (+.f64 (*.f64 -1 (pow.f64 y 2)) y)) t)) (/.f64 (*.f64 y z) t))
(fma.f64 1/2 (/.f64 (*.f64 z z) (/.f64 t (fma.f64 -1 (*.f64 y y) y))) (/.f64 y (/.f64 t z)))
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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 (*.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))

eval230.0ms (1%)

Compiler

Compiled 9896 to 3499 computations (64.6% saved)

prune182.0ms (0.8%)

Pruning

17 alts after pruning (16 fresh and 1 done)

PrunedKeptTotal
New32516341
Fresh000
Picked011
Done000
Total32517342
Error
0.2b
Counts
342 → 17
Alt Table
Click to see full alt table
StatusErrorProgram
17.3b
(-.f64 x (/.f64 (log1p.f64 (fma.f64 y (*.f64 z (*.f64 z 1/2)) (*.f64 y (+.f64 z (*.f64 1/6 (pow.f64 z 3)))))) t))
▶0.6b
(-.f64 x (pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) -1))
▶20.6b
(-.f64 x (*.f64 (/.f64 y t) z))
0.6b
(fma.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (/.f64 1 t) x)
▶20.2b
(-.f64 x (/.f64 (exp.f64 (log.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) t))
21.8b
x
34.8b
(-.f64 x (+.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))))))
41.5b
(/.f64 (neg.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) t)
18.2b
(-.f64 x (/.f64 (*.f64 z y) t))
19.1b
(-.f64 x (/.f64 (log1p.f64 (+.f64 (*.f64 y z) (+.f64 (*.f64 1/2 (*.f64 y (pow.f64 z 2))) (+.f64 (*.f64 1/24 (*.f64 y (pow.f64 z 4))) (*.f64 1/6 (*.f64 y (pow.f64 z 3))))))) t))
✓0.5b
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))
17.6b
(-.f64 x (/.f64 (log1p.f64 (*.f64 z (+.f64 (*.f64 y (*.f64 1/2 z)) y))) t))
▶9.7b
(-.f64 x (/.f64 (*.f64 (expm1.f64 z) y) t))
9.9b
(-.f64 x (*.f64 (/.f64 (expm1.f64 z) t) y))
1.9b
(pow.f64 (cbrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) 3)
1.0b
(-.f64 x (*.f64 (pow.f64 (cbrt.f64 t) -2) (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (cbrt.f64 t))))
▶0.6b
(-.f64 x (*.f64 (/.f64 1 t) (log1p.f64 (*.f64 y (expm1.f64 z)))))
Compiler

Compiled 648 to 465 computations (28.2% saved)

localize17.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(-.f64 x (pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) -1))
0.2b
(log1p.f64 (*.f64 y (expm1.f64 z)))
✓0.6b
(pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) -1)
✓2.8b
(/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z))))
Compiler

Compiled 47 to 14 computations (70.2% saved)

series67.0ms (0.3%)

Counts
3 → 120
Calls

30 calls:

TimeVariablePointExpression
28.0ms
y
@inf
(pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) -1)
7.0ms
t
@-inf
(pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) -1)
5.0ms
y
@-inf
(pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) -1)
3.0ms
y
@-inf
(-.f64 x (pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) -1))
2.0ms
z
@0
(pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) -1)

rewrite145.0ms (0.6%)

Algorithm
1×batch-egg-rewrite
Rules
657×prod-diff_binary64
609×log-prod_binary64
328×pow2_binary64
228×pow1/3_binary64
225×expm1-udef_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01242
125236
2329436
Stop Event
1×node limit
Counts
3 → 230
Calls
Call 1
Inputs
(/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z))))
(pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) -1)
(-.f64 x (pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) -1))
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (fma.f64 y (expm1.f64 z) 1) (/.f64 1 t))) 2)) (log.f64 (cbrt.f64 (pow.f64 (fma.f64 y (expm1.f64 z) 1) (/.f64 1 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (fma.f64 y (expm1.f64 z) 1) (/.f64 1 t)))) (log.f64 (sqrt.f64 (pow.f64 (fma.f64 y (expm1.f64 z) 1) (/.f64 1 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (/.f64 1 t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y 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simplify473.0ms (2.1%)

Algorithm
1×egg-herbie
Rules
431×associate-*r*_binary64
381×fma-def_binary64
339×associate-*l*_binary64
314×associate-/r*_binary64
300×distribute-rgt-in_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04086667
115376170
275736129
Stop Event
1×node limit
Counts
350 → 332
Calls
Call 1
Inputs
(/.f64 t (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))))
(/.f64 t (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))))
(/.f64 t (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))))
(/.f64 t (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))))
(/.f64 t (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))))
(/.f64 t (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))))
(/.f64 t (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))))
(/.f64 t (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))))
(/.f64 t (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))))
(/.f64 t (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))))
(/.f64 t (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))))
(/.f64 t (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))))
(/.f64 t (*.f64 (-.f64 (exp.f64 z) 1) y))
(+.f64 (/.f64 t (*.f64 (-.f64 (exp.f64 z) 1) y)) (*.f64 1/2 t))
(+.f64 (/.f64 t (*.f64 (-.f64 (exp.f64 z) 1) y)) (+.f64 (*.f64 1/2 t) (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/4 (*.f64 (-.f64 (exp.f64 z) 1) t)) (*.f64 1/3 (*.f64 (-.f64 (exp.f64 z) 1) t))) y))))
(+.f64 (/.f64 t (*.f64 (-.f64 (exp.f64 z) 1) y)) (+.f64 (*.f64 1/2 t) (+.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) (+.f64 (*.f64 -1/4 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) t)) (+.f64 (*.f64 1/2 (*.f64 (-.f64 (exp.f64 z) 1) (+.f64 (*.f64 -1/4 (*.f64 (-.f64 (exp.f64 z) 1) t)) (*.f64 1/3 (*.f64 (-.f64 (exp.f64 z) 1) t))))) (*.f64 1/6 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) t)))))) (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/4 (*.f64 (-.f64 (exp.f64 z) 1) t)) (*.f64 1/3 (*.f64 (-.f64 (exp.f64 z) 1) t))) y)))))
(/.f64 t (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))))
(+.f64 (/.f64 t (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y))))) (*.f64 -1 (/.f64 t (*.f64 (pow.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) 2) (*.f64 (-.f64 (exp.f64 z) 1) y)))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/2 (/.f64 t (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (pow.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) 2)))) (*.f64 -1 (/.f64 t (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (pow.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) 3))))) (pow.f64 y 2))) (+.f64 (/.f64 t (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y))))) (*.f64 -1 (/.f64 t (*.f64 (pow.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) 2) (*.f64 (-.f64 (exp.f64 z) 1) y))))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/2 (/.f64 t (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (pow.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) 2)))) (*.f64 -1 (/.f64 t (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (pow.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) 3))))) (pow.f64 y 2))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/2 (/.f64 t (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 3) (pow.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) 3)))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/2 (/.f64 t (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (pow.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) 2)))) (*.f64 -1 (/.f64 t (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (pow.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) 3))))) (*.f64 (-.f64 (exp.f64 z) 1) (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y))))))) (*.f64 1/3 (/.f64 t (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 3) (pow.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) 2)))))) (pow.f64 y 3))) (+.f64 (/.f64 t (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y))))) (*.f64 -1 (/.f64 t (*.f64 (pow.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) 2) (*.f64 (-.f64 (exp.f64 z) 1) y)))))))
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(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1)))) 2) (+.f64 (*.f64 -1/3 (/.f64 t (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 3) (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1)))) 2)))) (+.f64 (*.f64 -1 (/.f64 t (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 3) (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1)))) 4)))) (*.f64 -1 (/.f64 t (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 3) (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1)))) 3))))))) (pow.f64 t 2))) (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1)))) (+.f64 (*.f64 -1 (/.f64 t (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1)))) 3)))) (*.f64 -1/2 (/.f64 t (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1)))) 2)))))) (*.f64 (-.f64 (exp.f64 z) 1) (pow.f64 t 2))) (/.f64 1 (*.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1)))) 2) (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 3) t))))) (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1)))) (+.f64 (*.f64 -1 (/.f64 t (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1)))) 3)))) (*.f64 -1/2 (/.f64 t (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1)))) 2)))))) (*.f64 (-.f64 (exp.f64 z) 1) (pow.f64 t 2))))) (pow.f64 y 3))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1)))) 2) (+.f64 (*.f64 -1 (/.f64 t (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1)))) 3)))) (*.f64 -1/2 (/.f64 t (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1)))) 2)))))) (*.f64 (pow.f64 y 2) (pow.f64 t 2)))) x)) (+.f64 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1)))) (*.f64 (pow.f64 y 2) 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)))))))
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 (pow.f64 z 3) (+.f64 (*.f64 -1/4 (/.f64 (pow.f64 (+.f64 (*.f64 -1 (pow.f64 y 2)) y) 2) (*.f64 y t))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 y 2) (+.f64 (*.f64 1/6 (/.f64 (*.f64 t (+.f64 (*.f64 -3 (pow.f64 y 2)) (+.f64 y (*.f64 2 (pow.f64 y 3))))) (pow.f64 y 2))) (*.f64 -1/4 (/.f64 (*.f64 t (pow.f64 (+.f64 (*.f64 -1 (pow.f64 y 2)) y) 2)) (pow.f64 y 3))))) (pow.f64 t 2))))) (+.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 t (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))))
(/.f64 t (log1p.f64 (*.f64 (expm1.f64 z) y)))
(/.f64 t (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))))
(/.f64 t (log1p.f64 (*.f64 (expm1.f64 z) y)))
(/.f64 t (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))))
(/.f64 t (log1p.f64 (*.f64 (expm1.f64 z) y)))
(/.f64 t (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))))
(/.f64 t (log1p.f64 (*.f64 (expm1.f64 z) y)))
(/.f64 t (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))))
(/.f64 t (log1p.f64 (*.f64 (expm1.f64 z) y)))
(/.f64 t (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))))
(/.f64 t (log1p.f64 (*.f64 (expm1.f64 z) y)))
(/.f64 t (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))))
(/.f64 t (log1p.f64 (*.f64 (expm1.f64 z) y)))
(/.f64 t (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))))
(/.f64 t (log1p.f64 (*.f64 (expm1.f64 z) y)))
(/.f64 t (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))))
(/.f64 t (log1p.f64 (*.f64 (expm1.f64 z) y)))
(/.f64 t (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))))
(/.f64 t (log1p.f64 (*.f64 (expm1.f64 z) y)))
(/.f64 t (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))))
(/.f64 t (log1p.f64 (*.f64 (expm1.f64 z) y)))
(/.f64 t (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))))
(/.f64 t (log1p.f64 (*.f64 (expm1.f64 z) y)))
(/.f64 t (*.f64 (-.f64 (exp.f64 z) 1) y))
(/.f64 t (*.f64 (expm1.f64 z) y))
(+.f64 (/.f64 t (*.f64 (-.f64 (exp.f64 z) 1) y)) (*.f64 1/2 t))
(+.f64 (/.f64 t (*.f64 (expm1.f64 z) y)) (*.f64 t 1/2))
(fma.f64 t 1/2 (/.f64 t (*.f64 (expm1.f64 z) y)))
(+.f64 (/.f64 t (*.f64 (-.f64 (exp.f64 z) 1) y)) (+.f64 (*.f64 1/2 t) (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/4 (*.f64 (-.f64 (exp.f64 z) 1) t)) (*.f64 1/3 (*.f64 (-.f64 (exp.f64 z) 1) t))) y))))
(+.f64 (/.f64 t (*.f64 (expm1.f64 z) y)) (fma.f64 1/2 t (neg.f64 (*.f64 y (*.f64 (*.f64 t (expm1.f64 z)) 1/12)))))
(-.f64 (fma.f64 t 1/2 (/.f64 t (*.f64 (expm1.f64 z) y))) (*.f64 y (*.f64 t (*.f64 (expm1.f64 z) 1/12))))
(+.f64 (/.f64 t (*.f64 (-.f64 (exp.f64 z) 1) y)) (+.f64 (*.f64 1/2 t) (+.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) (+.f64 (*.f64 -1/4 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) t)) (+.f64 (*.f64 1/2 (*.f64 (-.f64 (exp.f64 z) 1) (+.f64 (*.f64 -1/4 (*.f64 (-.f64 (exp.f64 z) 1) t)) (*.f64 1/3 (*.f64 (-.f64 (exp.f64 z) 1) t))))) (*.f64 1/6 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) t)))))) (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/4 (*.f64 (-.f64 (exp.f64 z) 1) t)) (*.f64 1/3 (*.f64 (-.f64 (exp.f64 z) 1) t))) y)))))
(+.f64 (/.f64 t (*.f64 (expm1.f64 z) y)) (fma.f64 1/2 t (*.f64 -1 (+.f64 (*.f64 (*.f64 y y) (fma.f64 -1/4 (*.f64 t (pow.f64 (expm1.f64 z) 2)) (fma.f64 1/2 (*.f64 (expm1.f64 z) (*.f64 (*.f64 t (expm1.f64 z)) 1/12)) (*.f64 (*.f64 t (pow.f64 (expm1.f64 z) 2)) 1/6)))) (*.f64 y (*.f64 (*.f64 t (expm1.f64 z)) 1/12))))))
(+.f64 (fma.f64 t 1/2 (/.f64 t (*.f64 (expm1.f64 z) y))) (neg.f64 (fma.f64 (*.f64 y y) (fma.f64 -1/4 (*.f64 t (pow.f64 (expm1.f64 z) 2)) (fma.f64 1/2 (*.f64 (*.f64 t (pow.f64 (expm1.f64 z) 2)) 1/12) (*.f64 t (*.f64 (pow.f64 (expm1.f64 z) 2) 1/6)))) (*.f64 y (*.f64 t (*.f64 (expm1.f64 z) 1/12))))))
(/.f64 t (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))))
(/.f64 t (+.f64 (log.f64 (expm1.f64 z)) (neg.f64 (neg.f64 (log.f64 y)))))
(/.f64 t (+.f64 (log.f64 (expm1.f64 z)) (log.f64 y)))
(+.f64 (/.f64 t (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y))))) (*.f64 -1 (/.f64 t (*.f64 (pow.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) 2) (*.f64 (-.f64 (exp.f64 z) 1) y)))))
(+.f64 (/.f64 t (+.f64 (log.f64 (expm1.f64 z)) (neg.f64 (neg.f64 (log.f64 y))))) (neg.f64 (/.f64 (/.f64 t (pow.f64 (+.f64 (log.f64 (expm1.f64 z)) (neg.f64 (neg.f64 (log.f64 y)))) 2)) (*.f64 (expm1.f64 z) y))))
(-.f64 (/.f64 t (+.f64 (log.f64 (expm1.f64 z)) (log.f64 y))) (/.f64 (/.f64 t (*.f64 (expm1.f64 z) y)) (pow.f64 (+.f64 (log.f64 (expm1.f64 z)) (log.f64 y)) 2)))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/2 (/.f64 t (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (pow.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) 2)))) (*.f64 -1 (/.f64 t (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (pow.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) 3))))) (pow.f64 y 2))) (+.f64 (/.f64 t (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y))))) (*.f64 -1 (/.f64 t (*.f64 (pow.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) 2) (*.f64 (-.f64 (exp.f64 z) 1) y))))))
(fma.f64 -1 (/.f64 (fma.f64 -1/2 (/.f64 (/.f64 t (pow.f64 (expm1.f64 z) 2)) (pow.f64 (+.f64 (log.f64 (expm1.f64 z)) (neg.f64 (neg.f64 (log.f64 y)))) 2)) (neg.f64 (/.f64 (/.f64 t (pow.f64 (expm1.f64 z) 2)) (pow.f64 (+.f64 (log.f64 (expm1.f64 z)) (neg.f64 (neg.f64 (log.f64 y)))) 3)))) (*.f64 y y)) (+.f64 (/.f64 t (+.f64 (log.f64 (expm1.f64 z)) (neg.f64 (neg.f64 (log.f64 y))))) (neg.f64 (/.f64 (/.f64 t (pow.f64 (+.f64 (log.f64 (expm1.f64 z)) (neg.f64 (neg.f64 (log.f64 y)))) 2)) (*.f64 (expm1.f64 z) y)))))
(-.f64 (-.f64 (/.f64 t (+.f64 (log.f64 (expm1.f64 z)) (log.f64 y))) (/.f64 (/.f64 t (*.f64 (expm1.f64 z) y)) (pow.f64 (+.f64 (log.f64 (expm1.f64 z)) (log.f64 y)) 2))) (/.f64 (-.f64 (*.f64 (/.f64 -1/2 (pow.f64 (expm1.f64 z) 2)) (/.f64 t (pow.f64 (+.f64 (log.f64 (expm1.f64 z)) (log.f64 y)) 2))) (/.f64 (/.f64 t (pow.f64 (expm1.f64 z) 2)) (pow.f64 (+.f64 (log.f64 (expm1.f64 z)) (log.f64 y)) 3))) (*.f64 y y)))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/2 (/.f64 t (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (pow.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) 2)))) (*.f64 -1 (/.f64 t (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (pow.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) 3))))) (pow.f64 y 2))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/2 (/.f64 t (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 3) (pow.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) 3)))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/2 (/.f64 t (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (pow.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) 2)))) (*.f64 -1 (/.f64 t (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (pow.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) 3))))) (*.f64 (-.f64 (exp.f64 z) 1) (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y))))))) (*.f64 1/3 (/.f64 t (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 3) (pow.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) 2)))))) (pow.f64 y 3))) (+.f64 (/.f64 t (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y))))) (*.f64 -1 (/.f64 t (*.f64 (pow.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) 2) (*.f64 (-.f64 (exp.f64 z) 1) y)))))))
(fma.f64 -1 (/.f64 (fma.f64 -1/2 (/.f64 (/.f64 t (pow.f64 (expm1.f64 z) 2)) (pow.f64 (+.f64 (log.f64 (expm1.f64 z)) (neg.f64 (neg.f64 (log.f64 y)))) 2)) (neg.f64 (/.f64 (/.f64 t (pow.f64 (expm1.f64 z) 2)) (pow.f64 (+.f64 (log.f64 (expm1.f64 z)) (neg.f64 (neg.f64 (log.f64 y)))) 3)))) (*.f64 y y)) (fma.f64 -1 (/.f64 (fma.f64 1/2 (/.f64 (/.f64 t (pow.f64 (expm1.f64 z) 3)) (pow.f64 (+.f64 (log.f64 (expm1.f64 z)) (neg.f64 (neg.f64 (log.f64 y)))) 3)) (fma.f64 -1 (/.f64 (fma.f64 -1/2 (/.f64 (/.f64 t (pow.f64 (expm1.f64 z) 2)) (pow.f64 (+.f64 (log.f64 (expm1.f64 z)) (neg.f64 (neg.f64 (log.f64 y)))) 2)) (neg.f64 (/.f64 (/.f64 t (pow.f64 (expm1.f64 z) 2)) (pow.f64 (+.f64 (log.f64 (expm1.f64 z)) (neg.f64 (neg.f64 (log.f64 y)))) 3)))) (*.f64 (expm1.f64 z) (+.f64 (log.f64 (expm1.f64 z)) (neg.f64 (neg.f64 (log.f64 y)))))) (/.f64 (*.f64 1/3 t) (*.f64 (pow.f64 (+.f64 (log.f64 (expm1.f64 z)) (neg.f64 (neg.f64 (log.f64 y)))) 2) (pow.f64 (expm1.f64 z) 3))))) (pow.f64 y 3)) (+.f64 (/.f64 t (+.f64 (log.f64 (expm1.f64 z)) (neg.f64 (neg.f64 (log.f64 y))))) (neg.f64 (/.f64 (/.f64 t (pow.f64 (+.f64 (log.f64 (expm1.f64 z)) (neg.f64 (neg.f64 (log.f64 y)))) 2)) (*.f64 (expm1.f64 z) y))))))
(-.f64 (-.f64 (-.f64 (/.f64 t (+.f64 (log.f64 (expm1.f64 z)) (log.f64 y))) (/.f64 (/.f64 t (*.f64 (expm1.f64 z) y)) (pow.f64 (+.f64 (log.f64 (expm1.f64 z)) (log.f64 y)) 2))) (/.f64 (fma.f64 1/2 (/.f64 (/.f64 t (pow.f64 (expm1.f64 z) 3)) (pow.f64 (+.f64 (log.f64 (expm1.f64 z)) (log.f64 y)) 3)) (-.f64 (*.f64 1/3 (/.f64 (/.f64 t (pow.f64 (expm1.f64 z) 3)) (pow.f64 (+.f64 (log.f64 (expm1.f64 z)) (log.f64 y)) 2))) (/.f64 (-.f64 (*.f64 (/.f64 -1/2 (pow.f64 (expm1.f64 z) 2)) (/.f64 t (pow.f64 (+.f64 (log.f64 (expm1.f64 z)) (log.f64 y)) 2))) (/.f64 (/.f64 t (pow.f64 (expm1.f64 z) 2)) (pow.f64 (+.f64 (log.f64 (expm1.f64 z)) (log.f64 y)) 3))) (*.f64 (expm1.f64 z) (+.f64 (log.f64 (expm1.f64 z)) (log.f64 y)))))) (pow.f64 y 3))) (/.f64 (-.f64 (*.f64 (/.f64 -1/2 (pow.f64 (expm1.f64 z) 2)) (/.f64 t (pow.f64 (+.f64 (log.f64 (expm1.f64 z)) (log.f64 y)) 2))) (/.f64 (/.f64 t (pow.f64 (expm1.f64 z) 2)) (pow.f64 (+.f64 (log.f64 (expm1.f64 z)) (log.f64 y)) 3))) (*.f64 y y)))
(/.f64 t (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1)))))
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(-.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 y t) z))
✓6.7b
(*.f64 (/.f64 y t) z)
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 y t) z)
1.0ms
y
@0
(*.f64 (/.f64 y t) z)
1.0ms
y
@inf
(*.f64 (/.f64 y t) z)
1.0ms
t
@0
(*.f64 (/.f64 y t) z)
1.0ms
z
@0
(*.f64 (/.f64 y t) z)

rewrite226.0ms (1%)

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 y t) z)
(-.f64 x (*.f64 (/.f64 y t) z))
Outputs
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(#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 (/.f64 y t) z))) (-.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 (/.f64 y t) z))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 (/.f64 y t) z))) (pow.f64 (cbrt.f64 (*.f64 (/.f64 y t) z)) 2) (*.f64 (/.f64 y t) z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 y t) z)) 2)) (cbrt.f64 (*.f64 (/.f64 y t) z)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 (neg.f64 y) t) 1) z x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 (neg.f64 y) t) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 (neg.f64 y) t) (sqrt.f64 z)) (sqrt.f64 z) x)))))

simplify73.0ms (0.3%)

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 → 204
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)
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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))
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(/.f64 (*.f64 y z) t)
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(*.f64 (/.f64 y t) z)
(*.f64 z (/.f64 y t))
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(/.f64 (*.f64 y z) t)
(/.f64 y (/.f64 t z))
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(*.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))
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(*.f64 z (/.f64 y t))
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(*.f64 (/.f64 y t) z)
(*.f64 z (/.f64 y 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 (*.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 (*.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))
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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)
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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 t) z)
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(*.f64 y (/.f64 z t))
(/.f64 (*.f64 y z) t)
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(*.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))
(*.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))

localize51.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(-.f64 x (/.f64 (*.f64 (expm1.f64 z) y) t))
✓0.0b
(*.f64 (expm1.f64 z) y)
✓2.9b
(/.f64 (*.f64 (expm1.f64 z) y) t)
Compiler

Compiled 28 to 8 computations (71.4% saved)

series11.0ms (0.1%)

Counts
3 → 108
Calls

27 calls:

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

rewrite161.0ms (0.7%)

Algorithm
1×batch-egg-rewrite
Rules
587×prod-diff_binary64
541×log-prod_binary64
339×pow-prod-down_binary64
270×pow2_binary64
222×fma-def_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0927
119427
2280327
Stop Event
1×node limit
Counts
3 → 261
Calls
Call 1
Inputs
(/.f64 (*.f64 (expm1.f64 z) y) t)
(*.f64 (expm1.f64 z) y)
(-.f64 x (/.f64 (*.f64 (expm1.f64 z) y) t))
Outputs
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simplify118.0ms (0.5%)

Algorithm
1×egg-herbie
Rules
952×fma-def_binary64
533×associate-*r*_binary64
522×associate-*l*_binary64
514×cancel-sign-sub-inv_binary64
345×associate-/l*_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
0621138
11741129
24461126
313921077
458611076
Stop Event
1×node limit
Counts
369 → 294
Calls
Call 1
Inputs
(/.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 (*.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 y z)
(+.f64 (*.f64 y z) (*.f64 1/2 (*.f64 y (pow.f64 z 2))))
(+.f64 (*.f64 y z) (+.f64 (*.f64 1/2 (*.f64 y (pow.f64 z 2))) (*.f64 1/6 (*.f64 y (pow.f64 z 3)))))
(+.f64 (*.f64 y z) (+.f64 (*.f64 1/2 (*.f64 y (pow.f64 z 2))) (+.f64 (*.f64 1/24 (*.f64 y (pow.f64 z 4))) (*.f64 1/6 (*.f64 y (pow.f64 z 3))))))
(*.f64 (-.f64 (exp.f64 z) 1) y)
(*.f64 (-.f64 (exp.f64 z) 1) y)
(*.f64 (-.f64 (exp.f64 z) 1) y)
(*.f64 (-.f64 (exp.f64 z) 1) y)
(*.f64 (-.f64 (exp.f64 z) 1) y)
(*.f64 (-.f64 (exp.f64 z) 1) y)
(*.f64 (-.f64 (exp.f64 z) 1) y)
(*.f64 (-.f64 (exp.f64 z) 1) y)
(*.f64 (-.f64 (exp.f64 z) 1) y)
(*.f64 (-.f64 (exp.f64 z) 1) y)
(*.f64 (-.f64 (exp.f64 z) 1) y)
(*.f64 (-.f64 (exp.f64 z) 1) y)
(*.f64 (-.f64 (exp.f64 z) 1) y)
(*.f64 (-.f64 (exp.f64 z) 1) y)
(*.f64 (-.f64 (exp.f64 z) 1) y)
(*.f64 (-.f64 (exp.f64 z) 1) y)
(*.f64 (-.f64 (exp.f64 z) 1) y)
(*.f64 (-.f64 (exp.f64 z) 1) y)
(*.f64 (-.f64 (exp.f64 z) 1) y)
(*.f64 (-.f64 (exp.f64 z) 1) y)
(*.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))
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)
Outputs
(/.f64 (*.f64 y z) t)
(*.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 (*.f64 y z) t) (*.f64 1/2 (/.f64 y (/.f64 t (*.f64 z z)))))
(fma.f64 1/2 (*.f64 (/.f64 y t) (*.f64 z z)) (*.f64 (/.f64 y t) z))
(fma.f64 (/.f64 y t) z (/.f64 y (/.f64 (/.f64 (/.f64 t z) z) 1/2)))
(*.f64 (/.f64 y t) (fma.f64 z (*.f64 z 1/2) z))
(+.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 (*.f64 y (pow.f64 z 3)) t) (+.f64 (/.f64 (*.f64 y z) t) (*.f64 1/2 (/.f64 y (/.f64 t (*.f64 z z))))))
(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 z (/.f64 y t) (*.f64 (/.f64 y t) (*.f64 (*.f64 z z) (+.f64 (*.f64 z 1/6) 1/2))))
(fma.f64 y (/.f64 z t) (*.f64 (/.f64 y t) (*.f64 (*.f64 z z) (+.f64 (*.f64 z 1/6) 1/2))))
(+.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 (*.f64 y (pow.f64 z 4)) t) (fma.f64 1/6 (/.f64 (*.f64 y (pow.f64 z 3)) t) (+.f64 (/.f64 (*.f64 y z) t) (*.f64 1/2 (/.f64 y (/.f64 t (*.f64 z z)))))))
(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 1/6 (*.f64 (pow.f64 z 3) (/.f64 y t)) (fma.f64 1/24 (*.f64 (pow.f64 z 4) (/.f64 y t)) (fma.f64 (/.f64 y t) z (/.f64 y (/.f64 (/.f64 (/.f64 t z) z) 1/2)))))
(+.f64 (*.f64 (/.f64 y t) (fma.f64 z (*.f64 z 1/2) z)) (*.f64 (/.f64 y t) (*.f64 (pow.f64 z 3) (+.f64 1/6 (*.f64 z 1/24)))))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (*.f64 y (expm1.f64 z)) t)
(*.f64 (/.f64 (expm1.f64 z) t) y)
(*.f64 y (/.f64 (expm1.f64 z) t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (*.f64 y (expm1.f64 z)) t)
(*.f64 (/.f64 (expm1.f64 z) t) y)
(*.f64 y (/.f64 (expm1.f64 z) t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (*.f64 y (expm1.f64 z)) t)
(*.f64 (/.f64 (expm1.f64 z) t) y)
(*.f64 y (/.f64 (expm1.f64 z) t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (*.f64 y (expm1.f64 z)) t)
(*.f64 (/.f64 (expm1.f64 z) t) y)
(*.f64 y (/.f64 (expm1.f64 z) t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (*.f64 y (expm1.f64 z)) t)
(*.f64 (/.f64 (expm1.f64 z) t) y)
(*.f64 y (/.f64 (expm1.f64 z) t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (*.f64 y (expm1.f64 z)) t)
(*.f64 (/.f64 (expm1.f64 z) t) y)
(*.f64 y (/.f64 (expm1.f64 z) t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (*.f64 y (expm1.f64 z)) t)
(*.f64 (/.f64 (expm1.f64 z) t) y)
(*.f64 y (/.f64 (expm1.f64 z) t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (*.f64 y (expm1.f64 z)) t)
(*.f64 (/.f64 (expm1.f64 z) t) y)
(*.f64 y (/.f64 (expm1.f64 z) t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (*.f64 y (expm1.f64 z)) t)
(*.f64 (/.f64 (expm1.f64 z) t) y)
(*.f64 y (/.f64 (expm1.f64 z) t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (*.f64 y (expm1.f64 z)) t)
(*.f64 (/.f64 (expm1.f64 z) t) y)
(*.f64 y (/.f64 (expm1.f64 z) t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (*.f64 y (expm1.f64 z)) t)
(*.f64 (/.f64 (expm1.f64 z) t) y)
(*.f64 y (/.f64 (expm1.f64 z) t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (*.f64 y (expm1.f64 z)) t)
(*.f64 (/.f64 (expm1.f64 z) t) y)
(*.f64 y (/.f64 (expm1.f64 z) t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (*.f64 y (expm1.f64 z)) t)
(*.f64 (/.f64 (expm1.f64 z) t) y)
(*.f64 y (/.f64 (expm1.f64 z) t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (*.f64 y (expm1.f64 z)) t)
(*.f64 (/.f64 (expm1.f64 z) t) y)
(*.f64 y (/.f64 (expm1.f64 z) t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (*.f64 y (expm1.f64 z)) t)
(*.f64 (/.f64 (expm1.f64 z) t) y)
(*.f64 y (/.f64 (expm1.f64 z) t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (*.f64 y (expm1.f64 z)) t)
(*.f64 (/.f64 (expm1.f64 z) t) y)
(*.f64 y (/.f64 (expm1.f64 z) t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (*.f64 y (expm1.f64 z)) t)
(*.f64 (/.f64 (expm1.f64 z) t) y)
(*.f64 y (/.f64 (expm1.f64 z) t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (*.f64 y (expm1.f64 z)) t)
(*.f64 (/.f64 (expm1.f64 z) t) y)
(*.f64 y (/.f64 (expm1.f64 z) t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (*.f64 y (expm1.f64 z)) t)
(*.f64 (/.f64 (expm1.f64 z) t) y)
(*.f64 y (/.f64 (expm1.f64 z) t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (*.f64 y (expm1.f64 z)) t)
(*.f64 (/.f64 (expm1.f64 z) t) y)
(*.f64 y (/.f64 (expm1.f64 z) t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (*.f64 y (expm1.f64 z)) t)
(*.f64 (/.f64 (expm1.f64 z) t) y)
(*.f64 y (/.f64 (expm1.f64 z) t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (*.f64 y (expm1.f64 z)) t)
(*.f64 (/.f64 (expm1.f64 z) t) y)
(*.f64 y (/.f64 (expm1.f64 z) t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (*.f64 y (expm1.f64 z)) t)
(*.f64 (/.f64 (expm1.f64 z) t) y)
(*.f64 y (/.f64 (expm1.f64 z) t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (*.f64 y (expm1.f64 z)) t)
(*.f64 (/.f64 (expm1.f64 z) t) y)
(*.f64 y (/.f64 (expm1.f64 z) t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (*.f64 y (expm1.f64 z)) t)
(*.f64 (/.f64 (expm1.f64 z) t) y)
(*.f64 y (/.f64 (expm1.f64 z) t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (*.f64 y (expm1.f64 z)) t)
(*.f64 (/.f64 (expm1.f64 z) t) y)
(*.f64 y (/.f64 (expm1.f64 z) t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (*.f64 y (expm1.f64 z)) t)
(*.f64 (/.f64 (expm1.f64 z) t) y)
(*.f64 y (/.f64 (expm1.f64 z) t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (*.f64 y (expm1.f64 z)) t)
(*.f64 (/.f64 (expm1.f64 z) t) y)
(*.f64 y (/.f64 (expm1.f64 z) t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (*.f64 y (expm1.f64 z)) t)
(*.f64 (/.f64 (expm1.f64 z) t) y)
(*.f64 y (/.f64 (expm1.f64 z) t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (*.f64 y (expm1.f64 z)) t)
(*.f64 (/.f64 (expm1.f64 z) t) y)
(*.f64 y (/.f64 (expm1.f64 z) t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (*.f64 y (expm1.f64 z)) t)
(*.f64 (/.f64 (expm1.f64 z) t) y)
(*.f64 y (/.f64 (expm1.f64 z) t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (*.f64 y (expm1.f64 z)) t)
(*.f64 (/.f64 (expm1.f64 z) t) y)
(*.f64 y (/.f64 (expm1.f64 z) t))
(*.f64 y z)
(+.f64 (*.f64 y z) (*.f64 1/2 (*.f64 y (pow.f64 z 2))))
(fma.f64 y z (*.f64 1/2 (*.f64 y (*.f64 z z))))
(fma.f64 (*.f64 y 1/2) (*.f64 z z) (*.f64 y z))
(*.f64 z (+.f64 y (*.f64 y (*.f64 1/2 z))))
(*.f64 y (fma.f64 z (*.f64 z 1/2) z))
(*.f64 z (fma.f64 y (*.f64 z 1/2) y))
(+.f64 (*.f64 y z) (+.f64 (*.f64 1/2 (*.f64 y (pow.f64 z 2))) (*.f64 1/6 (*.f64 y (pow.f64 z 3)))))
(fma.f64 y z (fma.f64 1/2 (*.f64 y (*.f64 z z)) (*.f64 1/6 (*.f64 y (pow.f64 z 3)))))
(fma.f64 y z (fma.f64 1/2 (*.f64 y (*.f64 z z)) (*.f64 y (*.f64 (pow.f64 z 3) 1/6))))
(fma.f64 y z (*.f64 y (+.f64 (*.f64 z (*.f64 z 1/2)) (*.f64 1/6 (pow.f64 z 3)))))
(*.f64 z (+.f64 y (*.f64 z (*.f64 y (+.f64 1/2 (*.f64 z 1/6))))))
(*.f64 y (+.f64 z (*.f64 (*.f64 z z) (+.f64 (*.f64 z 1/6) 1/2))))
(+.f64 (*.f64 y z) (+.f64 (*.f64 1/2 (*.f64 y (pow.f64 z 2))) (+.f64 (*.f64 1/24 (*.f64 y (pow.f64 z 4))) (*.f64 1/6 (*.f64 y (pow.f64 z 3))))))
(fma.f64 y z (fma.f64 1/2 (*.f64 y (*.f64 z z)) (fma.f64 1/24 (*.f64 y (pow.f64 z 4)) (*.f64 1/6 (*.f64 y (pow.f64 z 3))))))
(fma.f64 y z (fma.f64 1/2 (*.f64 y (*.f64 z z)) (fma.f64 1/6 (*.f64 y (pow.f64 z 3)) (*.f64 y (*.f64 (pow.f64 z 4) 1/24)))))
(fma.f64 y z (fma.f64 y (*.f64 z (*.f64 z 1/2)) (*.f64 y (+.f64 (*.f64 1/6 (pow.f64 z 3)) (*.f64 1/24 (pow.f64 z 4))))))
(*.f64 y (+.f64 (fma.f64 z (*.f64 z 1/2) z) (*.f64 (pow.f64 z 3) (+.f64 1/6 (*.f64 z 1/24)))))
(*.f64 (-.f64 (exp.f64 z) 1) y)
(*.f64 y (expm1.f64 z))
(*.f64 (-.f64 (exp.f64 z) 1) y)
(*.f64 y (expm1.f64 z))
(*.f64 (-.f64 (exp.f64 z) 1) y)
(*.f64 y (expm1.f64 z))
(*.f64 (-.f64 (exp.f64 z) 1) y)
(*.f64 y (expm1.f64 z))
(*.f64 (-.f64 (exp.f64 z) 1) y)
(*.f64 y (expm1.f64 z))
(*.f64 (-.f64 (exp.f64 z) 1) y)
(*.f64 y (expm1.f64 z))
(*.f64 (-.f64 (exp.f64 z) 1) y)
(*.f64 y (expm1.f64 z))
(*.f64 (-.f64 (exp.f64 z) 1) y)
(*.f64 y (expm1.f64 z))
(*.f64 (-.f64 (exp.f64 z) 1) y)
(*.f64 y (expm1.f64 z))
(*.f64 (-.f64 (exp.f64 z) 1) y)
(*.f64 y (expm1.f64 z))
(*.f64 (-.f64 (exp.f64 z) 1) y)
(*.f64 y (expm1.f64 z))
(*.f64 (-.f64 (exp.f64 z) 1) y)
(*.f64 y (expm1.f64 z))
(*.f64 (-.f64 (exp.f64 z) 1) y)
(*.f64 y (expm1.f64 z))
(*.f64 (-.f64 (exp.f64 z) 1) y)
(*.f64 y (expm1.f64 z))
(*.f64 (-.f64 (exp.f64 z) 1) y)
(*.f64 y (expm1.f64 z))
(*.f64 (-.f64 (exp.f64 z) 1) y)
(*.f64 y (expm1.f64 z))
(*.f64 (-.f64 (exp.f64 z) 1) y)
(*.f64 y (expm1.f64 z))
(*.f64 (-.f64 (exp.f64 z) 1) y)
(*.f64 y (expm1.f64 z))
(*.f64 (-.f64 (exp.f64 z) 1) y)
(*.f64 y (expm1.f64 z))
(*.f64 (-.f64 (exp.f64 z) 1) y)
(*.f64 y (expm1.f64 z))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(neg.f64 (/.f64 (*.f64 y (expm1.f64 z)) t))
(/.f64 (neg.f64 (expm1.f64 z)) (/.f64 t y))
(*.f64 (/.f64 (expm1.f64 z) t) (neg.f64 y))
(*.f64 (/.f64 (neg.f64 y) 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 (*.f64 y (expm1.f64 z)) t))
(-.f64 x (*.f64 (/.f64 (expm1.f64 z) t) y))
(-.f64 x (*.f64 y (/.f64 (expm1.f64 z) t)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)) x)
(-.f64 x (/.f64 (*.f64 y (expm1.f64 z)) t))
(-.f64 x (*.f64 (/.f64 (expm1.f64 z) t) y))
(-.f64 x (*.f64 y (/.f64 (expm1.f64 z) t)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)) x)
(-.f64 x (/.f64 (*.f64 y (expm1.f64 z)) t))
(-.f64 x (*.f64 (/.f64 (expm1.f64 z) t) y))
(-.f64 x (*.f64 y (/.f64 (expm1.f64 z) t)))
x
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)) x)
(-.f64 x (/.f64 (*.f64 y (expm1.f64 z)) t))
(-.f64 x (*.f64 (/.f64 (expm1.f64 z) t) y))
(-.f64 x (*.f64 y (/.f64 (expm1.f64 z) t)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)) x)
(-.f64 x (/.f64 (*.f64 y (expm1.f64 z)) t))
(-.f64 x (*.f64 (/.f64 (expm1.f64 z) t) y))
(-.f64 x (*.f64 y (/.f64 (expm1.f64 z) t)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)) x)
(-.f64 x (/.f64 (*.f64 y (expm1.f64 z)) t))
(-.f64 x (*.f64 (/.f64 (expm1.f64 z) t) y))
(-.f64 x (*.f64 y (/.f64 (expm1.f64 z) t)))
x
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)) x)
(-.f64 x (/.f64 (*.f64 y (expm1.f64 z)) t))
(-.f64 x (*.f64 (/.f64 (expm1.f64 z) t) y))
(-.f64 x (*.f64 y (/.f64 (expm1.f64 z) t)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)) x)
(-.f64 x (/.f64 (*.f64 y (expm1.f64 z)) t))
(-.f64 x (*.f64 (/.f64 (expm1.f64 z) t) y))
(-.f64 x (*.f64 y (/.f64 (expm1.f64 z) t)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)) x)
(-.f64 x (/.f64 (*.f64 y (expm1.f64 z)) t))
(-.f64 x (*.f64 (/.f64 (expm1.f64 z) t) y))
(-.f64 x (*.f64 y (/.f64 (expm1.f64 z) t)))
x
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(fma.f64 -1 (/.f64 (*.f64 y z) t) 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 (*.f64 y z) t) (fma.f64 -1/2 (/.f64 y (/.f64 t (*.f64 z z))) x))
(-.f64 (fma.f64 (*.f64 (/.f64 y t) (*.f64 z z)) -1/2 x) (*.f64 (/.f64 y t) z))
(-.f64 (fma.f64 (*.f64 (*.f64 z (/.f64 y t)) z) -1/2 x) (*.f64 z (/.f64 y t)))
(-.f64 x (*.f64 (/.f64 y t) (fma.f64 z (*.f64 z 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 -1/6 (/.f64 (*.f64 y (pow.f64 z 3)) t)) x)))
(fma.f64 -1 (/.f64 (*.f64 y z) t) (fma.f64 -1/2 (/.f64 y (/.f64 t (*.f64 z z))) (fma.f64 -1/6 (/.f64 (*.f64 y (pow.f64 z 3)) t) 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 (fma.f64 (*.f64 (/.f64 z t) (*.f64 y z)) -1/2 x) (*.f64 (/.f64 y t) (fma.f64 1/6 (pow.f64 z 3) z)))
(-.f64 x (fma.f64 y (/.f64 z t) (*.f64 (/.f64 y t) (*.f64 (*.f64 z z) (+.f64 (*.f64 z 1/6) 1/2)))))
(-.f64 x (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(-.f64 x (/.f64 (*.f64 y (expm1.f64 z)) t))
(-.f64 x (*.f64 (/.f64 (expm1.f64 z) t) y))
(-.f64 x (*.f64 y (/.f64 (expm1.f64 z) t)))
(-.f64 x (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(-.f64 x (/.f64 (*.f64 y (expm1.f64 z)) t))
(-.f64 x (*.f64 (/.f64 (expm1.f64 z) t) y))
(-.f64 x (*.f64 y (/.f64 (expm1.f64 z) t)))
(-.f64 x (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(-.f64 x (/.f64 (*.f64 y (expm1.f64 z)) t))
(-.f64 x (*.f64 (/.f64 (expm1.f64 z) t) y))
(-.f64 x (*.f64 y (/.f64 (expm1.f64 z) t)))
(-.f64 x (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(-.f64 x (/.f64 (*.f64 y (expm1.f64 z)) t))
(-.f64 x (*.f64 (/.f64 (expm1.f64 z) t) y))
(-.f64 x (*.f64 y (/.f64 (expm1.f64 z) t)))
(-.f64 x (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(-.f64 x (/.f64 (*.f64 y (expm1.f64 z)) t))
(-.f64 x (*.f64 (/.f64 (expm1.f64 z) t) y))
(-.f64 x (*.f64 y (/.f64 (expm1.f64 z) t)))
(-.f64 x (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(-.f64 x (/.f64 (*.f64 y (expm1.f64 z)) t))
(-.f64 x (*.f64 (/.f64 (expm1.f64 z) t) y))
(-.f64 x (*.f64 y (/.f64 (expm1.f64 z) t)))
(-.f64 x (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(-.f64 x (/.f64 (*.f64 y (expm1.f64 z)) t))
(-.f64 x (*.f64 (/.f64 (expm1.f64 z) t) y))
(-.f64 x (*.f64 y (/.f64 (expm1.f64 z) t)))
(-.f64 x (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(-.f64 x (/.f64 (*.f64 y (expm1.f64 z)) t))
(-.f64 x (*.f64 (/.f64 (expm1.f64 z) t) y))
(-.f64 x (*.f64 y (/.f64 (expm1.f64 z) t)))
x
(+.f64 (*.f64 y (-.f64 (/.f64 1 t) (/.f64 (exp.f64 z) t))) x)
(-.f64 x (/.f64 (*.f64 y (expm1.f64 z)) t))
(-.f64 x (*.f64 (/.f64 (expm1.f64 z) t) y))
(-.f64 x (*.f64 y (/.f64 (expm1.f64 z) t)))
(+.f64 (*.f64 y (-.f64 (/.f64 1 t) (/.f64 (exp.f64 z) t))) x)
(-.f64 x (/.f64 (*.f64 y (expm1.f64 z)) t))
(-.f64 x (*.f64 (/.f64 (expm1.f64 z) t) y))
(-.f64 x (*.f64 y (/.f64 (expm1.f64 z) t)))
(+.f64 (*.f64 y (-.f64 (/.f64 1 t) (/.f64 (exp.f64 z) t))) x)
(-.f64 x (/.f64 (*.f64 y (expm1.f64 z)) t))
(-.f64 x (*.f64 (/.f64 (expm1.f64 z) t) y))
(-.f64 x (*.f64 y (/.f64 (expm1.f64 z) t)))
(*.f64 y (-.f64 (/.f64 1 t) (/.f64 (exp.f64 z) t)))
(neg.f64 (/.f64 (*.f64 y (expm1.f64 z)) t))
(/.f64 (neg.f64 (expm1.f64 z)) (/.f64 t y))
(*.f64 (/.f64 (expm1.f64 z) t) (neg.f64 y))
(*.f64 (/.f64 (neg.f64 y) 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 (*.f64 y (expm1.f64 z)) t))
(-.f64 x (*.f64 (/.f64 (expm1.f64 z) t) y))
(-.f64 x (*.f64 y (/.f64 (expm1.f64 z) t)))
(+.f64 (*.f64 y (-.f64 (/.f64 1 t) (/.f64 (exp.f64 z) t))) x)
(-.f64 x (/.f64 (*.f64 y (expm1.f64 z)) t))
(-.f64 x (*.f64 (/.f64 (expm1.f64 z) t) y))
(-.f64 x (*.f64 y (/.f64 (expm1.f64 z) t)))
(+.f64 (*.f64 y (-.f64 (/.f64 1 t) (/.f64 (exp.f64 z) t))) x)
(-.f64 x (/.f64 (*.f64 y (expm1.f64 z)) t))
(-.f64 x (*.f64 (/.f64 (expm1.f64 z) t) y))
(-.f64 x (*.f64 y (/.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 (expm1.f64 z)) (/.f64 t y))
(*.f64 (/.f64 (expm1.f64 z) t) (neg.f64 y))
(*.f64 (/.f64 (neg.f64 y) 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 (*.f64 y (expm1.f64 z)) t))
(-.f64 x (*.f64 (/.f64 (expm1.f64 z) t) y))
(-.f64 x (*.f64 y (/.f64 (expm1.f64 z) t)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)) x)
(-.f64 x (/.f64 (*.f64 y (expm1.f64 z)) t))
(-.f64 x (*.f64 (/.f64 (expm1.f64 z) t) y))
(-.f64 x (*.f64 y (/.f64 (expm1.f64 z) t)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)) x)
(-.f64 x (/.f64 (*.f64 y (expm1.f64 z)) t))
(-.f64 x (*.f64 (/.f64 (expm1.f64 z) t) y))
(-.f64 x (*.f64 y (/.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 (expm1.f64 z)) (/.f64 t y))
(*.f64 (/.f64 (expm1.f64 z) t) (neg.f64 y))
(*.f64 (/.f64 (neg.f64 y) 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 (*.f64 y (expm1.f64 z)) t))
(-.f64 x (*.f64 (/.f64 (expm1.f64 z) t) y))
(-.f64 x (*.f64 y (/.f64 (expm1.f64 z) t)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)) x)
(-.f64 x (/.f64 (*.f64 y (expm1.f64 z)) t))
(-.f64 x (*.f64 (/.f64 (expm1.f64 z) t) y))
(-.f64 x (*.f64 y (/.f64 (expm1.f64 z) t)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)) x)
(-.f64 x (/.f64 (*.f64 y (expm1.f64 z)) t))
(-.f64 x (*.f64 (/.f64 (expm1.f64 z) t) y))
(-.f64 x (*.f64 y (/.f64 (expm1.f64 z) t)))
x
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)) x)
(-.f64 x (/.f64 (*.f64 y (expm1.f64 z)) t))
(-.f64 x (*.f64 (/.f64 (expm1.f64 z) t) y))
(-.f64 x (*.f64 y (/.f64 (expm1.f64 z) t)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)) x)
(-.f64 x (/.f64 (*.f64 y (expm1.f64 z)) t))
(-.f64 x (*.f64 (/.f64 (expm1.f64 z) t) y))
(-.f64 x (*.f64 y (/.f64 (expm1.f64 z) t)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)) x)
(-.f64 x (/.f64 (*.f64 y (expm1.f64 z)) t))
(-.f64 x (*.f64 (/.f64 (expm1.f64 z) t) y))
(-.f64 x (*.f64 y (/.f64 (expm1.f64 z) t)))
x
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)) x)
(-.f64 x (/.f64 (*.f64 y (expm1.f64 z)) t))
(-.f64 x (*.f64 (/.f64 (expm1.f64 z) t) y))
(-.f64 x (*.f64 y (/.f64 (expm1.f64 z) t)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)) x)
(-.f64 x (/.f64 (*.f64 y (expm1.f64 z)) t))
(-.f64 x (*.f64 (/.f64 (expm1.f64 z) t) y))
(-.f64 x (*.f64 y (/.f64 (expm1.f64 z) t)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)) x)
(-.f64 x (/.f64 (*.f64 y (expm1.f64 z)) t))
(-.f64 x (*.f64 (/.f64 (expm1.f64 z) t) y))
(-.f64 x (*.f64 y (/.f64 (expm1.f64 z) t)))

localize27.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(-.f64 x (*.f64 (/.f64 1 t) (log1p.f64 (*.f64 y (expm1.f64 z)))))
0.0b
(*.f64 y (expm1.f64 z))
0.2b
(log1p.f64 (*.f64 y (expm1.f64 z)))
✓3.1b
(*.f64 (/.f64 1 t) (log1p.f64 (*.f64 y (expm1.f64 z))))
Compiler

Compiled 43 to 17 computations (60.5% saved)

series12.0ms (0.1%)

Counts
2 → 84
Calls

21 calls:

TimeVariablePointExpression
1.0ms
y
@-inf
(*.f64 (/.f64 1 t) (log1p.f64 (*.f64 y (expm1.f64 z))))
1.0ms
y
@-inf
(-.f64 x (*.f64 (/.f64 1 t) (log1p.f64 (*.f64 y (expm1.f64 z)))))
1.0ms
y
@inf
(*.f64 (/.f64 1 t) (log1p.f64 (*.f64 y (expm1.f64 z))))
1.0ms
y
@inf
(-.f64 x (*.f64 (/.f64 1 t) (log1p.f64 (*.f64 y (expm1.f64 z)))))
1.0ms
z
@0
(*.f64 (/.f64 1 t) (log1p.f64 (*.f64 y (expm1.f64 z))))

rewrite235.0ms (1%)

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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(*.f64 y (expm1.f64 z))))) (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) x)))))

simplify436.0ms (1.9%)

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)
(/.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)
(/.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)
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (expm1.f64 z) (/.f64 t y))
(/.f64 y (/.f64 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 y (/.f64 t (expm1.f64 z))))
(fma.f64 -1/2 (*.f64 (*.f64 y y) (/.f64 (pow.f64 (expm1.f64 z) 2) t)) (/.f64 y (/.f64 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 y (/.f64 t (expm1.f64 z)))))
(fma.f64 1/3 (*.f64 (pow.f64 y 3) (/.f64 (pow.f64 (expm1.f64 z) 3) t)) (fma.f64 -1/2 (*.f64 (*.f64 y y) (/.f64 (pow.f64 (expm1.f64 z) 2) t)) (/.f64 y (/.f64 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 y (/.f64 t (expm1.f64 z))))))
(fma.f64 1/3 (*.f64 (pow.f64 y 3) (/.f64 (pow.f64 (expm1.f64 z) 3) t)) (fma.f64 -1/4 (*.f64 (pow.f64 y 4) (/.f64 (pow.f64 (expm1.f64 z) 4) t)) (fma.f64 -1/2 (*.f64 (*.f64 y y) (/.f64 (pow.f64 (expm1.f64 z) 2) t)) (/.f64 y (/.f64 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 y) t) (+.f64 (/.f64 (log.f64 (expm1.f64 z)) t) (/.f64 1 (*.f64 y (*.f64 (expm1.f64 z) t)))))
(+.f64 (/.f64 1 (*.f64 (*.f64 (expm1.f64 z) y) t)) (/.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 (/.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 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 1 (*.f64 y (*.f64 (expm1.f64 z) t)))) (/.f64 -1/2 (*.f64 t (*.f64 (pow.f64 (expm1.f64 z) 2) (*.f64 y y))))))
(+.f64 (/.f64 1 (*.f64 (*.f64 (expm1.f64 z) y) t)) (-.f64 (/.f64 (+.f64 (log.f64 (expm1.f64 z)) (log.f64 y)) t) (/.f64 (/.f64 (/.f64 1/2 (*.f64 y y)) t) (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)))))
(-.f64 (+.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 1/2 (*.f64 (pow.f64 (expm1.f64 z) 2) (*.f64 t (*.f64 y y)))))
(+.f64 (+.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 (+.f64 (/.f64 (log.f64 y) t) (/.f64 1 (*.f64 y (*.f64 (expm1.f64 z) t)))) (/.f64 -1/2 (*.f64 t (*.f64 (pow.f64 (expm1.f64 z) 2) (*.f64 y y))))))
(+.f64 (+.f64 (/.f64 1 (*.f64 (*.f64 (expm1.f64 z) y) t)) (/.f64 (+.f64 (log.f64 (expm1.f64 z)) (log.f64 y)) t)) (+.f64 (/.f64 1/3 (*.f64 t (*.f64 (pow.f64 (expm1.f64 z) 3) (pow.f64 y 3)))) (/.f64 (/.f64 -1/2 (pow.f64 (expm1.f64 z) 2)) (*.f64 t (*.f64 y y)))))
(/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1)))) t)
(/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 (neg.f64 (expm1.f64 z)))) t)
(/.f64 (-.f64 (log.f64 (neg.f64 (expm1.f64 z))) (log.f64 (/.f64 -1 y))) 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 (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 (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 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 (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 (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 1/2 (*.f64 (pow.f64 (expm1.f64 z) 2) (*.f64 t (*.f64 y y)))))
(+.f64 (-.f64 (/.f64 1 (*.f64 y (*.f64 (expm1.f64 z) t))) (/.f64 (log.f64 (/.f64 -1 y)) t)) (-.f64 (/.f64 (log.f64 (neg.f64 (expm1.f64 z))) t) (/.f64 1/2 (*.f64 t (*.f64 (pow.f64 (expm1.f64 z) 2) (*.f64 y y))))))
(+.f64 (/.f64 1 (*.f64 (*.f64 (expm1.f64 z) y) t)) (-.f64 (/.f64 (-.f64 (log.f64 (neg.f64 (expm1.f64 z))) (log.f64 (/.f64 -1 y))) t) (/.f64 (/.f64 (/.f64 1/2 (*.f64 y y)) t) (pow.f64 (expm1.f64 z) 2))))
(-.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 (log.f64 (neg.f64 (expm1.f64 z))) t) (-.f64 (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 1/2 (*.f64 (pow.f64 (expm1.f64 z) 2) (*.f64 t (*.f64 y y))))))
(+.f64 (+.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 (log.f64 (neg.f64 (expm1.f64 z))) t) (/.f64 1/2 (*.f64 t (*.f64 (pow.f64 (expm1.f64 z) 2) (*.f64 y y))))))
(+.f64 (/.f64 1/3 (*.f64 t (*.f64 (pow.f64 (expm1.f64 z) 3) (pow.f64 y 3)))) (+.f64 (/.f64 1 (*.f64 (*.f64 (expm1.f64 z) y) t)) (-.f64 (/.f64 (-.f64 (log.f64 (neg.f64 (expm1.f64 z))) (log.f64 (/.f64 -1 y))) t) (/.f64 (/.f64 (/.f64 1/2 (*.f64 y y)) t) (pow.f64 (expm1.f64 z) 2)))))
(/.f64 (*.f64 y z) t)
(/.f64 y (/.f64 t z))
(*.f64 (/.f64 y t) z)
(*.f64 (/.f64 z t) y)
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 z 2) (+.f64 (*.f64 -1 (pow.f64 y 2)) y)) t)) (/.f64 (*.f64 y z) t))
(fma.f64 1/2 (/.f64 (*.f64 z z) (/.f64 t (fma.f64 -1 (*.f64 y y) y))) (/.f64 y (/.f64 t z)))
(fma.f64 1/2 (/.f64 (-.f64 y (*.f64 y y)) (/.f64 t (*.f64 z z))) (*.f64 (/.f64 y t) z))
(fma.f64 1/2 (*.f64 (/.f64 (-.f64 y (*.f64 y y)) t) (*.f64 z z)) (*.f64 (/.f64 z t) y))
(+.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)))
(fma.f64 1/2 (/.f64 (*.f64 z z) (/.f64 t (fma.f64 -1 (*.f64 y y) y))) (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))) (/.f64 y (/.f64 t z))))
(fma.f64 1/2 (/.f64 (-.f64 y (*.f64 y y)) (/.f64 t (*.f64 z z))) (fma.f64 1/6 (*.f64 (/.f64 (+.f64 y (fma.f64 2 (pow.f64 y 3) (*.f64 (*.f64 y y) -3))) t) (pow.f64 z 3)) (*.f64 (/.f64 y t) z)))
(fma.f64 1/2 (*.f64 (/.f64 (-.f64 y (*.f64 y y)) t) (*.f64 z z)) (fma.f64 1/6 (*.f64 (pow.f64 z 3) (/.f64 (fma.f64 y (*.f64 y -3) (fma.f64 2 (pow.f64 y 3) y)) t)) (*.f64 (/.f64 z t) y)))
(+.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)))))
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(/.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)
(/.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)
(*.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))
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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 -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))
(*.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))
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))

localize29.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.2b
(log1p.f64 (*.f64 y (expm1.f64 z)))
✓1.5b
(/.f64 (exp.f64 (log.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) t)
✓2.0b
(exp.f64 (log.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))))
✓11.2b
(log.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))
Compiler

Compiled 52 to 11 computations (78.8% saved)

series54.0ms (0.2%)

Counts
3 → 84
Calls

21 calls:

TimeVariablePointExpression
26.0ms
z
@inf
(log.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))
16.0ms
z
@-inf
(log.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))
2.0ms
y
@inf
(log.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))
2.0ms
y
@-inf
(log.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))
2.0ms
z
@0
(log.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))

rewrite69.0ms (0.3%)

Algorithm
1×batch-egg-rewrite
Rules
867×pow1_binary64
794×add-log-exp_binary64
794×expm1-log1p-u_binary64
793×log1p-expm1-u_binary64
774×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01029
118329
2216629
Stop Event
1×node limit
Counts
3 → 68
Calls
Call 1
Inputs
(log.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))
(exp.f64 (log.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))))
(/.f64 (exp.f64 (log.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) t)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 2)) (log.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) (log.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (log.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) (pow.f64 (cbrt.f64 (log.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) 2) (cbrt.f64 (log.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) (sqrt.f64 (log.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (-.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (log1p.f64 (*.f64 y (expm1.f64 z)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log1p.f64 (*.f64 y (expm1.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 2) (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) 2)) (cbrt.f64 (log.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))))) (sqrt.f64 (log.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 (*.f64 y (expm1.f64 z)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (*.f64 y (expm1.f64 z)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (/.f64 1 t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 2) (*.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (/.f64 1 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.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))))) (#(struct:change #<rule egg-rr> (2) ((x *.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)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (*.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (/.f64 1 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) (sqrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (/.f64 1 (neg.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 t) (log1p.f64 (*.f64 y (expm1.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 2) 1) (/.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 1) (/.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 t) 2)) (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (cbrt.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 2) (pow.f64 (cbrt.f64 t) 2)) (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (pow.f64 (cbrt.f64 t) 2)) (/.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (cbrt.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 t)) (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (sqrt.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 2) (sqrt.f64 t)) (/.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (sqrt.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 3) (pow.f64 t 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))))))

simplify83.0ms (0.4%)

Algorithm
1×egg-herbie
Rules
730×associate-/r*_binary64
651×associate-+r+_binary64
352×associate-/l*_binary64
261×fma-def_binary64
206×associate-*l/_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02832809
18972665
234702630
Stop Event
1×node limit
Counts
152 → 169
Calls
Call 1
Inputs
(+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (log.f64 y))
(+.f64 (*.f64 -1/2 (*.f64 (-.f64 (exp.f64 z) 1) y)) (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (log.f64 y)))
(+.f64 (*.f64 -1/2 (*.f64 (-.f64 (exp.f64 z) 1) y)) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 y 2) (+.f64 (*.f64 -1/4 (pow.f64 (-.f64 (exp.f64 z) 1) 2)) (*.f64 2/3 (pow.f64 (-.f64 (exp.f64 z) 1) 2))))) (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (log.f64 y))))
(+.f64 (*.f64 -1/2 (*.f64 (-.f64 (exp.f64 z) 1) y)) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 y 2) (+.f64 (*.f64 -1/4 (pow.f64 (-.f64 (exp.f64 z) 1) 2)) (*.f64 2/3 (pow.f64 (-.f64 (exp.f64 z) 1) 2))))) (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 y 3) (+.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 3) (+.f64 (*.f64 -3/2 (pow.f64 (-.f64 (exp.f64 z) 1) 3)) (*.f64 -1/4 (pow.f64 (-.f64 (exp.f64 z) 1) 3)))))) (log.f64 y)))))
(log.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))))
(+.f64 (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) (*.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) y))) (log.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y))))))
(+.f64 (*.f64 -1/2 (/.f64 (+.f64 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))))) (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (pow.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) 2)))) (pow.f64 y 2))) (+.f64 (/.f64 1 (*.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) (*.f64 (-.f64 (exp.f64 z) 1) y))) (log.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))))))
(+.f64 (*.f64 -1/2 (/.f64 (+.f64 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))))) (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (pow.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) 2)))) (pow.f64 y 2))) (+.f64 (*.f64 1/6 (/.f64 (+.f64 (*.f64 2 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 3) (pow.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) 3)))) (+.f64 (*.f64 2 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 3) (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y))))))) (*.f64 3 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 3) (pow.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) 2)))))) (pow.f64 y 3))) (+.f64 (/.f64 1 (*.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) (*.f64 (-.f64 (exp.f64 z) 1) y))) (log.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y))))))))
(log.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1)))))
(+.f64 (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1)))) y))) (log.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1))))))
(+.f64 (log.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1))))) (+.f64 (/.f64 1 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1)))) (*.f64 (-.f64 (exp.f64 z) 1) y))) (*.f64 -1/2 (/.f64 (+.f64 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1)))))) (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1)))) 2)))) (pow.f64 y 2)))))
(+.f64 (*.f64 1/6 (/.f64 (+.f64 (*.f64 2 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 3) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1))))))) (+.f64 (*.f64 3 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 3) (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1)))) 2)))) (*.f64 2 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 3) (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1)))) 3)))))) (pow.f64 y 3))) (+.f64 (log.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1))))) (+.f64 (/.f64 1 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1)))) (*.f64 (-.f64 (exp.f64 z) 1) y))) (*.f64 -1/2 (/.f64 (+.f64 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1)))))) (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1)))) 2)))) (pow.f64 y 2))))))
(+.f64 (log.f64 z) (log.f64 y))
(+.f64 (log.f64 z) (+.f64 (*.f64 1/2 (/.f64 (*.f64 z (+.f64 (*.f64 -1 (pow.f64 y 2)) y)) y)) (log.f64 y)))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 z 2) (+.f64 (*.f64 1/3 (/.f64 (+.f64 y (+.f64 (*.f64 -3 (pow.f64 y 2)) (*.f64 2 (pow.f64 y 3)))) y)) (*.f64 -1/4 (/.f64 (pow.f64 (+.f64 (*.f64 -1 (pow.f64 y 2)) y) 2) (pow.f64 y 2)))))) (+.f64 (log.f64 z) (+.f64 (*.f64 1/2 (/.f64 (*.f64 z (+.f64 (*.f64 -1 (pow.f64 y 2)) y)) y)) (log.f64 y))))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 z 2) (+.f64 (*.f64 1/3 (/.f64 (+.f64 y (+.f64 (*.f64 -3 (pow.f64 y 2)) (*.f64 2 (pow.f64 y 3)))) y)) (*.f64 -1/4 (/.f64 (pow.f64 (+.f64 (*.f64 -1 (pow.f64 y 2)) y) 2) (pow.f64 y 2)))))) (+.f64 (log.f64 z) (+.f64 (*.f64 1/2 (/.f64 (*.f64 z (+.f64 (*.f64 -1 (pow.f64 y 2)) y)) y)) (+.f64 (*.f64 1/6 (*.f64 (+.f64 (*.f64 1/4 (/.f64 (pow.f64 (+.f64 (*.f64 -1 (pow.f64 y 2)) y) 3) (pow.f64 y 3))) (+.f64 (*.f64 1/4 (/.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)))))) y)) (*.f64 -1/2 (/.f64 (*.f64 (+.f64 y (+.f64 (*.f64 -3 (pow.f64 y 2)) (*.f64 2 (pow.f64 y 3)))) (+.f64 (*.f64 -1 (pow.f64 y 2)) y)) (pow.f64 y 2))))) (pow.f64 z 3))) (log.f64 y)))))
(log.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))))
(log.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))))
(log.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))))
(log.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))))
(log.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))))
(log.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))))
(log.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))))
(log.f64 (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)))))
(*.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 (-.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)
Outputs
(+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (log.f64 y))
(+.f64 (log.f64 (expm1.f64 z)) (log.f64 y))
(+.f64 (*.f64 -1/2 (*.f64 (-.f64 (exp.f64 z) 1) y)) (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (log.f64 y)))
(fma.f64 -1/2 (*.f64 (expm1.f64 z) y) (+.f64 (log.f64 (expm1.f64 z)) (log.f64 y)))
(+.f64 (log.f64 y) (fma.f64 -1/2 (*.f64 (expm1.f64 z) y) (log.f64 (expm1.f64 z))))
(+.f64 (*.f64 -1/2 (*.f64 (-.f64 (exp.f64 z) 1) y)) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 y 2) (+.f64 (*.f64 -1/4 (pow.f64 (-.f64 (exp.f64 z) 1) 2)) (*.f64 2/3 (pow.f64 (-.f64 (exp.f64 z) 1) 2))))) (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (log.f64 y))))
(fma.f64 -1/2 (*.f64 (expm1.f64 z) y) (fma.f64 1/2 (*.f64 (*.f64 y y) (*.f64 (pow.f64 (expm1.f64 z) 2) 5/12)) (+.f64 (log.f64 (expm1.f64 z)) (log.f64 y))))
(fma.f64 -1/2 (*.f64 (expm1.f64 z) y) (+.f64 (log.f64 y) (fma.f64 1/2 (*.f64 (*.f64 y y) (*.f64 (pow.f64 (expm1.f64 z) 2) 5/12)) (log.f64 (expm1.f64 z)))))
(fma.f64 -1/2 (*.f64 (expm1.f64 z) y) (fma.f64 1/2 (*.f64 (pow.f64 (expm1.f64 z) 2) (*.f64 5/12 (*.f64 y y))) (+.f64 (log.f64 (expm1.f64 z)) (log.f64 y))))
(+.f64 (*.f64 -1/2 (*.f64 (-.f64 (exp.f64 z) 1) y)) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 y 2) (+.f64 (*.f64 -1/4 (pow.f64 (-.f64 (exp.f64 z) 1) 2)) (*.f64 2/3 (pow.f64 (-.f64 (exp.f64 z) 1) 2))))) (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 y 3) (+.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 3) (+.f64 (*.f64 -3/2 (pow.f64 (-.f64 (exp.f64 z) 1) 3)) (*.f64 -1/4 (pow.f64 (-.f64 (exp.f64 z) 1) 3)))))) (log.f64 y)))))
(fma.f64 -1/2 (*.f64 (expm1.f64 z) y) (fma.f64 1/2 (*.f64 (*.f64 y y) (*.f64 (pow.f64 (expm1.f64 z) 2) 5/12)) (+.f64 (log.f64 (expm1.f64 z)) (fma.f64 1/6 (*.f64 (pow.f64 y 3) (+.f64 (pow.f64 (expm1.f64 z) 3) (*.f64 (pow.f64 (expm1.f64 z) 3) -7/4))) (log.f64 y)))))
(fma.f64 -1/2 (*.f64 (expm1.f64 z) y) (+.f64 (fma.f64 1/6 (*.f64 (pow.f64 y 3) (fma.f64 (pow.f64 (expm1.f64 z) 3) -7/4 (pow.f64 (expm1.f64 z) 3))) (log.f64 y)) (fma.f64 1/2 (*.f64 (*.f64 y y) (*.f64 (pow.f64 (expm1.f64 z) 2) 5/12)) (log.f64 (expm1.f64 z)))))
(fma.f64 -1/2 (*.f64 (expm1.f64 z) y) (+.f64 (fma.f64 1/6 (*.f64 (pow.f64 y 3) (*.f64 (pow.f64 (expm1.f64 z) 3) -3/4)) (log.f64 y)) (fma.f64 1/2 (*.f64 (pow.f64 (expm1.f64 z) 2) (*.f64 5/12 (*.f64 y y))) (log.f64 (expm1.f64 z)))))
(log.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))))
(log.f64 (+.f64 (log.f64 (expm1.f64 z)) (neg.f64 (neg.f64 (log.f64 y)))))
(log.f64 (+.f64 (log.f64 (expm1.f64 z)) (log.f64 y)))
(+.f64 (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) (*.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) y))) (log.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y))))))
(+.f64 (log.f64 (+.f64 (log.f64 (expm1.f64 z)) (neg.f64 (neg.f64 (log.f64 y))))) (/.f64 (/.f64 1 (expm1.f64 z)) (*.f64 y (+.f64 (log.f64 (expm1.f64 z)) (neg.f64 (neg.f64 (log.f64 y)))))))
(+.f64 (log.f64 (+.f64 (log.f64 (expm1.f64 z)) (log.f64 y))) (/.f64 1 (*.f64 y (*.f64 (expm1.f64 z) (+.f64 (log.f64 (expm1.f64 z)) (log.f64 y))))))
(+.f64 (*.f64 -1/2 (/.f64 (+.f64 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))))) (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (pow.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) 2)))) (pow.f64 y 2))) (+.f64 (/.f64 1 (*.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) (*.f64 (-.f64 (exp.f64 z) 1) y))) (log.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))))))
(fma.f64 -1/2 (/.f64 (+.f64 (/.f64 (/.f64 1 (pow.f64 (expm1.f64 z) 2)) (+.f64 (log.f64 (expm1.f64 z)) (neg.f64 (neg.f64 (log.f64 y))))) (/.f64 (/.f64 1 (pow.f64 (expm1.f64 z) 2)) (pow.f64 (+.f64 (log.f64 (expm1.f64 z)) (neg.f64 (neg.f64 (log.f64 y)))) 2))) (*.f64 y y)) (+.f64 (log.f64 (+.f64 (log.f64 (expm1.f64 z)) (neg.f64 (neg.f64 (log.f64 y))))) (/.f64 1 (*.f64 (*.f64 (expm1.f64 z) y) (+.f64 (log.f64 (expm1.f64 z)) (neg.f64 (neg.f64 (log.f64 y))))))))
(fma.f64 -1/2 (/.f64 (+.f64 (/.f64 (/.f64 1 (pow.f64 (expm1.f64 z) 2)) (+.f64 (log.f64 (expm1.f64 z)) (log.f64 y))) (/.f64 1 (*.f64 (pow.f64 (expm1.f64 z) 2) (pow.f64 (+.f64 (log.f64 (expm1.f64 z)) (log.f64 y)) 2)))) (*.f64 y y)) (+.f64 (log.f64 (+.f64 (log.f64 (expm1.f64 z)) (log.f64 y))) (/.f64 1 (*.f64 y (*.f64 (expm1.f64 z) (+.f64 (log.f64 (expm1.f64 z)) (log.f64 y)))))))
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(+.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 (pow.f64 (expm1.f64 z) 4) (/.f64 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 y 4) t) (pow.f64 (expm1.f64 z) 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 (expm1.f64 z) (/.f64 t y)))))
(/.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 1 (*.f64 (expm1.f64 z) (*.f64 y t)))))
(+.f64 (/.f64 1 (*.f64 (expm1.f64 z) (*.f64 y t))) (/.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 (*.f64 y y) t)))))
(+.f64 (+.f64 (/.f64 (log.f64 y) t) (/.f64 1 (*.f64 (expm1.f64 z) (*.f64 y t)))) (+.f64 (/.f64 (log.f64 (expm1.f64 z)) t) (/.f64 -1/2 (*.f64 (*.f64 y y) (*.f64 (pow.f64 (expm1.f64 z) 2) t)))))
(+.f64 (/.f64 1 (*.f64 (expm1.f64 z) (*.f64 y t))) (-.f64 (/.f64 (+.f64 (log.f64 (expm1.f64 z)) (log.f64 y)) t) (/.f64 (/.f64 (/.f64 1/2 y) (*.f64 y t)) (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)))))
(+.f64 (/.f64 (log.f64 (expm1.f64 z)) t) (-.f64 (+.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 (pow.f64 y 3) t)))) (/.f64 1/2 (*.f64 (pow.f64 (expm1.f64 z) 2) (*.f64 (*.f64 y y) t)))))
(+.f64 (+.f64 (/.f64 1 (*.f64 (expm1.f64 z) (*.f64 y t))) (+.f64 (/.f64 (log.f64 y) t) (/.f64 1/3 (*.f64 (pow.f64 y 3) (*.f64 t (pow.f64 (expm1.f64 z) 3)))))) (-.f64 (/.f64 (log.f64 (expm1.f64 z)) t) (/.f64 1/2 (*.f64 (*.f64 y y) (*.f64 (pow.f64 (expm1.f64 z) 2) t)))))
(+.f64 (+.f64 (/.f64 1 (*.f64 (expm1.f64 z) (*.f64 y t))) (/.f64 (+.f64 (log.f64 (expm1.f64 z)) (log.f64 y)) t)) (+.f64 (/.f64 1/3 (*.f64 (pow.f64 y 3) (*.f64 t (pow.f64 (expm1.f64 z) 3)))) (/.f64 (/.f64 -1/2 (*.f64 y (*.f64 y t))) (pow.f64 (expm1.f64 z) 2))))
(/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1)))) t)
(/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 (neg.f64 (expm1.f64 z)))) t)
(/.f64 (-.f64 (log.f64 (neg.f64 (expm1.f64 z))) (log.f64 (/.f64 -1 y))) 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 (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 (log.f64 (neg.f64 (expm1.f64 z))) t) (-.f64 (/.f64 1 (*.f64 (expm1.f64 z) (*.f64 y t))) (/.f64 (log.f64 (/.f64 -1 y)) t)))
(+.f64 (/.f64 1 (*.f64 (expm1.f64 z) (*.f64 y t))) (/.f64 (-.f64 (log.f64 (neg.f64 (expm1.f64 z))) (log.f64 (/.f64 -1 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 (log.f64 (neg.f64 (expm1.f64 z))) t) (-.f64 (fma.f64 -1 (/.f64 (log.f64 (/.f64 -1 y)) t) (/.f64 1 (*.f64 (expm1.f64 z) (*.f64 y t)))) (/.f64 1/2 (*.f64 (pow.f64 (expm1.f64 z) 2) (*.f64 (*.f64 y y) t)))))
(+.f64 (/.f64 (log.f64 (neg.f64 (expm1.f64 z))) t) (+.f64 (-.f64 (/.f64 1 (*.f64 (expm1.f64 z) (*.f64 y t))) (/.f64 (log.f64 (/.f64 -1 y)) t)) (/.f64 -1/2 (*.f64 (*.f64 y y) (*.f64 (pow.f64 (expm1.f64 z) 2) t)))))
(+.f64 (/.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 (/.f64 -1/2 (*.f64 y (*.f64 y t))) (pow.f64 (expm1.f64 z) 2))))
(-.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 (log.f64 (neg.f64 (expm1.f64 z))) t) (-.f64 (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 (pow.f64 y 3) t))))) (/.f64 1/2 (*.f64 (pow.f64 (expm1.f64 z) 2) (*.f64 (*.f64 y y) t)))))
(+.f64 (/.f64 (log.f64 (neg.f64 (expm1.f64 z))) t) (+.f64 (+.f64 (/.f64 1/3 (*.f64 (pow.f64 y 3) (*.f64 t (pow.f64 (expm1.f64 z) 3)))) (-.f64 (/.f64 1 (*.f64 (expm1.f64 z) (*.f64 y t))) (/.f64 (log.f64 (/.f64 -1 y)) t))) (/.f64 -1/2 (*.f64 (*.f64 y y) (*.f64 (pow.f64 (expm1.f64 z) 2) t)))))
(+.f64 (+.f64 (/.f64 1 (*.f64 (expm1.f64 z) (*.f64 y t))) (/.f64 (-.f64 (log.f64 (neg.f64 (expm1.f64 z))) (log.f64 (/.f64 -1 y))) t)) (+.f64 (/.f64 1/3 (*.f64 (pow.f64 y 3) (*.f64 t (pow.f64 (expm1.f64 z) 3)))) (/.f64 (/.f64 -1/2 (*.f64 y (*.f64 y t))) (pow.f64 (expm1.f64 z) 2))))
(/.f64 (*.f64 y z) t)
(/.f64 y (/.f64 t z))
(*.f64 (/.f64 z t) y)
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 z 2) (+.f64 (*.f64 -1 (pow.f64 y 2)) y)) t)) (/.f64 (*.f64 y z) t))
(fma.f64 1/2 (/.f64 (*.f64 (fma.f64 -1 (*.f64 y y) y) (*.f64 z z)) t) (/.f64 y (/.f64 t z)))
(fma.f64 1/2 (*.f64 (/.f64 (*.f64 z z) t) (-.f64 y (*.f64 y y))) (/.f64 y (/.f64 t z)))
(fma.f64 1/2 (*.f64 (/.f64 z (/.f64 t z)) (-.f64 y (*.f64 y y))) (*.f64 (/.f64 z t) y))
(+.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)))
(fma.f64 1/2 (/.f64 (*.f64 (fma.f64 -1 (*.f64 y y) y) (*.f64 z z)) t) (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))) (/.f64 y (/.f64 t z))))
(fma.f64 1/2 (*.f64 (/.f64 (*.f64 z z) t) (-.f64 y (*.f64 y y))) (fma.f64 1/6 (/.f64 (fma.f64 (*.f64 y y) -3 (fma.f64 2 (pow.f64 y 3) y)) (/.f64 t (pow.f64 z 3))) (/.f64 y (/.f64 t z))))
(fma.f64 1/2 (*.f64 (/.f64 z (/.f64 t z)) (-.f64 y (*.f64 y y))) (fma.f64 1/6 (*.f64 (/.f64 (fma.f64 (*.f64 y y) -3 (fma.f64 2 (pow.f64 y 3) y)) t) (pow.f64 z 3)) (*.f64 (/.f64 z t) y)))
(+.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)))))
(fma.f64 1/2 (/.f64 (*.f64 (fma.f64 -1 (*.f64 y y) y) (*.f64 z z)) t) (+.f64 (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))) (/.f64 y (/.f64 t z))) (*.f64 1/24 (/.f64 (+.f64 y (fma.f64 -3 (*.f64 y y) (fma.f64 12 (pow.f64 y 3) (fma.f64 -4 (*.f64 y y) (*.f64 -6 (pow.f64 y 4)))))) (/.f64 t (pow.f64 z 4))))))
(fma.f64 1/2 (*.f64 (/.f64 (*.f64 z z) t) (-.f64 y (*.f64 y y))) (fma.f64 1/6 (/.f64 (fma.f64 (*.f64 y y) -3 (fma.f64 2 (pow.f64 y 3) y)) (/.f64 t (pow.f64 z 3))) (fma.f64 1/24 (*.f64 (/.f64 (+.f64 y (fma.f64 (*.f64 y y) -3 (fma.f64 (pow.f64 y 3) 12 (fma.f64 (*.f64 y y) -4 (*.f64 -6 (pow.f64 y 4)))))) t) (pow.f64 z 4)) (/.f64 y (/.f64 t z)))))
(fma.f64 1/2 (*.f64 (/.f64 z (/.f64 t z)) (-.f64 y (*.f64 y y))) (fma.f64 1/6 (*.f64 (/.f64 (fma.f64 (*.f64 y y) -3 (fma.f64 2 (pow.f64 y 3) y)) t) (pow.f64 z 3)) (fma.f64 1/24 (*.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)) t) (pow.f64 z 4)) (*.f64 (/.f64 z t) y))))
(/.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)
(/.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)
(/.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)
(/.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)
(/.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)

eval897.0ms (4%)

Compiler

Compiled 46618 to 19318 computations (58.6% saved)

prune379.0ms (1.7%)

Pruning

22 alts after pruning (19 fresh and 3 done)

PrunedKeptTotal
New1447181465
Fresh10111
Picked011
Done325
Total1460221482
Error
0.2b
Counts
1482 → 22
Alt Table
Click to see full alt table
StatusErrorProgram
18.2b
(-.f64 x (/.f64 1 (/.f64 t (*.f64 y z))))
✓20.2b
(-.f64 x (/.f64 (exp.f64 (log.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) t))
20.5b
(-.f64 x (/.f64 z (/.f64 t y)))
17.6b
(-.f64 x (/.f64 (log1p.f64 (*.f64 z (+.f64 (*.f64 y (*.f64 1/2 z)) y))) t))
▶0.6b
(-.f64 x (/.f64 1 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z))))))
▶56.8b
(*.f64 y (-.f64 (/.f64 1 t) (/.f64 (exp.f64 z) t)))
0.6b
(fma.f64 (/.f64 -1 t) (log1p.f64 (*.f64 y (expm1.f64 z))) x)
✓9.7b
(-.f64 x (/.f64 (*.f64 (expm1.f64 z) y) t))
22.0b
(-.f64 x (/.f64 (*.f64 y (+.f64 z (*.f64 (*.f64 z z) (+.f64 (*.f64 z 1/6) 1/2)))) t))
21.8b
x
17.6b
(-.f64 x (*.f64 (/.f64 1 t) (log1p.f64 (*.f64 z (+.f64 (*.f64 y (*.f64 1/2 z)) y)))))
▶18.2b
(-.f64 x (*.f64 (/.f64 1 t) (*.f64 z y)))
9.9b
(-.f64 x (*.f64 y (*.f64 (expm1.f64 z) (/.f64 1 t))))
16.1b
(-.f64 x (pow.f64 (+.f64 (/.f64 t (*.f64 (-.f64 (exp.f64 z) 1) y)) (*.f64 1/2 t)) -1))
✓0.5b
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))
1.9b
(pow.f64 (cbrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) 3)
18.7b
(-.f64 x (/.f64 y (/.f64 t z)))
0.6b
(-.f64 x (/.f64 (/.f64 1 t) (/.f64 1 (log1p.f64 (*.f64 y (expm1.f64 z))))))
▶41.5b
(/.f64 (neg.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) t)
▶53.3b
(*.f64 y (/.f64 (neg.f64 z) t))
18.2b
(-.f64 x (/.f64 (*.f64 z y) t))
50.8b
(*.f64 (expm1.f64 z) (/.f64 (neg.f64 y) t))
Compiler

Compiled 567 to 400 computations (29.5% saved)

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(*.f64 y (expm1.f64 z))
0.2b
(log1p.f64 (*.f64 y (expm1.f64 z)))
✓0.6b
(/.f64 1 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))))
2.8b
(/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z))))
Compiler

Compiled 47 to 14 computations (70.2% saved)

series3.0ms (0%)

Counts
1 → 36
Calls

9 calls:

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

rewrite64.0ms (0.3%)

Algorithm
1×batch-egg-rewrite
Rules
955×pow1_binary64
877×add-log-exp_binary64
877×expm1-log1p-u_binary64
876×log1p-expm1-u_binary64
855×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01014
120011
2246411
Stop Event
1×node limit
Counts
1 → 36
Calls
Call 1
Inputs
(/.f64 1 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (/.f64 1 t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.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))))) (#(struct:change #<rule egg-rr> (2) ((x *.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)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) (sqrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (/.f64 (neg.f64 t) (log1p.f64 (*.f64 y (expm1.f64 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 t) (log1p.f64 (*.f64 y (expm1.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 t) (pow.f64 (/.f64 1 (log1p.f64 (*.f64 y (expm1.f64 z)))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z))))) 2) -1) (pow.f64 (cbrt.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z))))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z))))) -1) (pow.f64 (sqrt.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z))))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 2) 1) (/.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 1) (/.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 t) 2)) (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (cbrt.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 2) (pow.f64 (cbrt.f64 t) 2)) (/.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (cbrt.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (pow.f64 (cbrt.f64 t) 2)) (/.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (cbrt.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 t)) (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (sqrt.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 2) (sqrt.f64 t)) (/.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (sqrt.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (sqrt.f64 t)) (/.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (sqrt.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (neg.f64 t)) (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 t) 1) (log1p.f64 (*.f64 y (expm1.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.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)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 t) (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 3) (pow.f64 t 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))))))

simplify65.0ms (0.3%)

Algorithm
1×egg-herbie
Rules
409×associate-*r*_binary64
390×unswap-sqr_binary64
376×associate-*l*_binary64
333×cancel-sign-sub-inv_binary64
309×fma-def_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0120924
1343896
21080873
35421865
Stop Event
1×node limit
Counts
72 → 70
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)
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)
(/.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)
(/.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)
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (expm1.f64 z) (/.f64 t y))
(*.f64 y (/.f64 (expm1.f64 z) 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 (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 (expm1.f64 z) (/.f64 t y)))
(fma.f64 -1/2 (*.f64 (*.f64 y y) (/.f64 (pow.f64 (expm1.f64 z) 2) t)) (*.f64 y (/.f64 (expm1.f64 z) t)))
(*.f64 y (+.f64 (/.f64 (expm1.f64 z) t) (/.f64 (*.f64 -1/2 (pow.f64 (expm1.f64 z) 2)) (/.f64 t y))))
(+.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 (expm1.f64 z) (/.f64 t y))))
(fma.f64 -1/2 (*.f64 (*.f64 y y) (/.f64 (pow.f64 (expm1.f64 z) 2) t)) (fma.f64 1/3 (*.f64 (pow.f64 y 3) (/.f64 (pow.f64 (expm1.f64 z) 3) t)) (*.f64 y (/.f64 (expm1.f64 z) t))))
(fma.f64 1/3 (*.f64 (pow.f64 y 3) (/.f64 (pow.f64 (expm1.f64 z) 3) t)) (*.f64 y (+.f64 (/.f64 (expm1.f64 z) t) (/.f64 (*.f64 -1/2 (pow.f64 (expm1.f64 z) 2)) (/.f64 t y)))))
(+.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 (expm1.f64 z) (/.f64 t y)))))
(fma.f64 -1/4 (*.f64 (pow.f64 y 4) (/.f64 (pow.f64 (expm1.f64 z) 4) t)) (fma.f64 -1/2 (*.f64 (*.f64 y y) (/.f64 (pow.f64 (expm1.f64 z) 2) t)) (fma.f64 1/3 (*.f64 (pow.f64 y 3) (/.f64 (pow.f64 (expm1.f64 z) 3) t)) (*.f64 y (/.f64 (expm1.f64 z) t)))))
(fma.f64 -1/4 (*.f64 (pow.f64 y 4) (/.f64 (pow.f64 (expm1.f64 z) 4) t)) (fma.f64 1/3 (*.f64 (pow.f64 y 3) (/.f64 (pow.f64 (expm1.f64 z) 3) t)) (*.f64 y (+.f64 (/.f64 (expm1.f64 z) t) (/.f64 (*.f64 -1/2 (pow.f64 (expm1.f64 z) 2)) (/.f64 t y))))))
(/.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 (/.f64 1 (expm1.f64 z)) (*.f64 y t))))
(+.f64 (/.f64 (log.f64 (expm1.f64 z)) t) (+.f64 (/.f64 (log.f64 y) t) (/.f64 1 (*.f64 (expm1.f64 z) (*.f64 y t)))))
(+.f64 (/.f64 1 (*.f64 (*.f64 (expm1.f64 z) y) t)) (/.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 (/.f64 1 (expm1.f64 z)) (*.f64 y t))) (/.f64 1/2 (*.f64 (pow.f64 (expm1.f64 z) 2) (*.f64 t (*.f64 y y))))))
(+.f64 (+.f64 (/.f64 (log.f64 (expm1.f64 z)) t) (+.f64 (/.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 y (*.f64 y t)))))
(+.f64 (/.f64 1 (*.f64 (*.f64 (expm1.f64 z) y) t)) (-.f64 (/.f64 (+.f64 (log.f64 (expm1.f64 z)) (log.f64 y)) t) (/.f64 1/2 (*.f64 y (*.f64 y (*.f64 t (pow.f64 (expm1.f64 z) 2)))))))
(+.f64 (/.f64 -1/2 (*.f64 y (*.f64 y (*.f64 t (pow.f64 (expm1.f64 z) 2))))) (+.f64 (/.f64 1 (*.f64 (*.f64 (expm1.f64 z) y) t)) (/.f64 (+.f64 (log.f64 (expm1.f64 z)) (log.f64 y)) t)))
(-.f64 (+.f64 (/.f64 (log.f64 (-.f64 (exp.f64 z) 1)) t) (+.f64 (*.f64 1/3 (/.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 (/.f64 (log.f64 (expm1.f64 z)) t) (/.f64 1/3 (*.f64 (pow.f64 (expm1.f64 z) 3) (*.f64 t (pow.f64 y 3))))) (fma.f64 -1 (/.f64 (neg.f64 (log.f64 y)) t) (/.f64 (/.f64 1 (expm1.f64 z)) (*.f64 y t)))) (/.f64 1/2 (*.f64 (pow.f64 (expm1.f64 z) 2) (*.f64 t (*.f64 y y)))))
(+.f64 (+.f64 (/.f64 (log.f64 (expm1.f64 z)) t) (+.f64 (/.f64 1 (*.f64 (expm1.f64 z) (*.f64 y t))) (+.f64 (/.f64 (log.f64 y) t) (/.f64 1/3 (*.f64 (pow.f64 (expm1.f64 z) 3) (*.f64 t (pow.f64 y 3))))))) (/.f64 -1/2 (*.f64 (pow.f64 (expm1.f64 z) 2) (*.f64 y (*.f64 y t)))))
(+.f64 (+.f64 (+.f64 (/.f64 1 (*.f64 (*.f64 (expm1.f64 z) y) t)) (/.f64 (/.f64 1/3 (pow.f64 y 3)) (*.f64 t (pow.f64 (expm1.f64 z) 3)))) (/.f64 (+.f64 (log.f64 (expm1.f64 z)) (log.f64 y)) t)) (/.f64 -1/2 (*.f64 y (*.f64 y (*.f64 t (pow.f64 (expm1.f64 z) 2))))))
(+.f64 (+.f64 (/.f64 -1/2 (*.f64 y (*.f64 y (*.f64 t (pow.f64 (expm1.f64 z) 2))))) (+.f64 (/.f64 1 (*.f64 (*.f64 (expm1.f64 z) y) t)) (/.f64 (+.f64 (log.f64 (expm1.f64 z)) (log.f64 y)) t))) (/.f64 (/.f64 1/3 (pow.f64 y 3)) (*.f64 t (pow.f64 (expm1.f64 z) 3))))
(/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1)))) t)
(/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 (neg.f64 (expm1.f64 z)))) t)
(/.f64 (-.f64 (log.f64 (neg.f64 (expm1.f64 z))) (log.f64 (/.f64 -1 y))) 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 (log.f64 (neg.f64 (expm1.f64 z))) t) (fma.f64 -1 (/.f64 (log.f64 (/.f64 -1 y)) t) (/.f64 (/.f64 1 (expm1.f64 z)) (*.f64 y t))))
(+.f64 (/.f64 (log.f64 (neg.f64 (expm1.f64 z))) t) (-.f64 (/.f64 1 (*.f64 (expm1.f64 z) (*.f64 y t))) (/.f64 (log.f64 (/.f64 -1 y)) t)))
(+.f64 (/.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 (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 (neg.f64 (expm1.f64 z))) t) (fma.f64 -1 (/.f64 (log.f64 (/.f64 -1 y)) t) (/.f64 (/.f64 1 (expm1.f64 z)) (*.f64 y t)))) (/.f64 1/2 (*.f64 (pow.f64 (expm1.f64 z) 2) (*.f64 t (*.f64 y y)))))
(+.f64 (+.f64 (/.f64 (log.f64 (neg.f64 (expm1.f64 z))) t) (-.f64 (/.f64 1 (*.f64 (expm1.f64 z) (*.f64 y t))) (/.f64 (log.f64 (/.f64 -1 y)) t))) (/.f64 -1/2 (*.f64 (pow.f64 (expm1.f64 z) 2) (*.f64 y (*.f64 y t)))))
(+.f64 (/.f64 1 (*.f64 (*.f64 (expm1.f64 z) y) t)) (-.f64 (/.f64 (-.f64 (log.f64 (neg.f64 (expm1.f64 z))) (log.f64 (/.f64 -1 y))) t) (/.f64 1/2 (*.f64 y (*.f64 y (*.f64 t (pow.f64 (expm1.f64 z) 2)))))))
(+.f64 (/.f64 1 (*.f64 (*.f64 (expm1.f64 z) y) t)) (+.f64 (/.f64 (-.f64 (log.f64 (neg.f64 (expm1.f64 z))) (log.f64 (/.f64 -1 y))) t) (/.f64 -1/2 (*.f64 y (*.f64 y (*.f64 t (pow.f64 (expm1.f64 z) 2)))))))
(-.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 (log.f64 (neg.f64 (expm1.f64 z))) t) (-.f64 (fma.f64 -1 (/.f64 (log.f64 (/.f64 -1 y)) t) (+.f64 (/.f64 (/.f64 1 (expm1.f64 z)) (*.f64 y t)) (/.f64 1/3 (*.f64 (pow.f64 (expm1.f64 z) 3) (*.f64 t (pow.f64 y 3)))))) (/.f64 1/2 (*.f64 (pow.f64 (expm1.f64 z) 2) (*.f64 t (*.f64 y y))))))
(+.f64 (/.f64 (log.f64 (neg.f64 (expm1.f64 z))) t) (+.f64 (+.f64 (/.f64 1/3 (*.f64 (pow.f64 (expm1.f64 z) 3) (*.f64 t (pow.f64 y 3)))) (-.f64 (/.f64 1 (*.f64 (expm1.f64 z) (*.f64 y t))) (/.f64 (log.f64 (/.f64 -1 y)) t))) (/.f64 -1/2 (*.f64 (pow.f64 (expm1.f64 z) 2) (*.f64 y (*.f64 y t))))))
(+.f64 (+.f64 (/.f64 1 (*.f64 (*.f64 (expm1.f64 z) y) t)) (/.f64 (/.f64 1/3 (pow.f64 y 3)) (*.f64 t (pow.f64 (expm1.f64 z) 3)))) (+.f64 (/.f64 (-.f64 (log.f64 (neg.f64 (expm1.f64 z))) (log.f64 (/.f64 -1 y))) t) (/.f64 -1/2 (*.f64 y (*.f64 y (*.f64 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 1 (*.f64 (*.f64 (expm1.f64 z) y) t)) (+.f64 (/.f64 (/.f64 1/3 (pow.f64 y 3)) (*.f64 t (pow.f64 (expm1.f64 z) 3))) (/.f64 -1/2 (*.f64 y (*.f64 y (*.f64 t (pow.f64 (expm1.f64 z) 2))))))))
(/.f64 (*.f64 y z) t)
(/.f64 y (/.f64 t z))
(/.f64 z (/.f64 t y))
(*.f64 z (/.f64 y 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))
(fma.f64 1/2 (/.f64 (*.f64 z z) (/.f64 t (fma.f64 -1 (*.f64 y y) y))) (/.f64 y (/.f64 t z)))
(fma.f64 1/2 (*.f64 (/.f64 (*.f64 z z) t) (-.f64 y (*.f64 y y))) (/.f64 z (/.f64 t y)))
(fma.f64 1/2 (*.f64 (-.f64 y (*.f64 y y)) (/.f64 (*.f64 z z) t)) (*.f64 z (/.f64 y 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)))
(fma.f64 1/2 (/.f64 (*.f64 z z) (/.f64 t (fma.f64 -1 (*.f64 y y) y))) (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))) (/.f64 y (/.f64 t z))))
(fma.f64 1/2 (*.f64 (/.f64 (*.f64 z z) t) (-.f64 y (*.f64 y y))) (fma.f64 1/6 (/.f64 (+.f64 y (fma.f64 2 (pow.f64 y 3) (*.f64 (*.f64 -3 y) y))) (/.f64 t (pow.f64 z 3))) (/.f64 z (/.f64 t y))))
(fma.f64 (/.f64 y t) z (fma.f64 1/2 (*.f64 (-.f64 y (*.f64 y y)) (/.f64 (*.f64 z z) t)) (*.f64 (/.f64 1/6 t) (*.f64 (fma.f64 2 (pow.f64 y 3) (fma.f64 y (*.f64 y -3) y)) (pow.f64 z 3)))))
(+.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)))))
(fma.f64 1/2 (/.f64 (*.f64 z z) (/.f64 t (fma.f64 -1 (*.f64 y y) y))) (+.f64 (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))) (/.f64 y (/.f64 t z))) (*.f64 1/24 (/.f64 (+.f64 y (fma.f64 -3 (*.f64 y y) (fma.f64 12 (pow.f64 y 3) (fma.f64 -4 (*.f64 y y) (*.f64 (pow.f64 y 4) -6))))) (/.f64 t (pow.f64 z 4))))))
(fma.f64 1/2 (*.f64 (/.f64 (*.f64 z z) t) (-.f64 y (*.f64 y y))) (fma.f64 1/6 (/.f64 (+.f64 y (fma.f64 2 (pow.f64 y 3) (*.f64 (*.f64 -3 y) y))) (/.f64 t (pow.f64 z 3))) (fma.f64 1/24 (*.f64 (/.f64 (+.f64 y (fma.f64 (*.f64 y y) -3 (fma.f64 (pow.f64 y 3) 12 (fma.f64 (*.f64 y y) -4 (*.f64 (pow.f64 y 4) -6))))) t) (pow.f64 z 4)) (/.f64 z (/.f64 t y)))))
(fma.f64 1/6 (*.f64 (/.f64 (pow.f64 z 3) t) (fma.f64 2 (pow.f64 y 3) (fma.f64 y (*.f64 y -3) y))) (fma.f64 1/2 (*.f64 (-.f64 y (*.f64 y y)) (/.f64 (*.f64 z z) t)) (fma.f64 1/24 (*.f64 (pow.f64 z 4) (/.f64 (+.f64 (fma.f64 (pow.f64 y 4) -6 (*.f64 (*.f64 y y) (+.f64 (*.f64 y 12) -4))) (fma.f64 y (*.f64 y -3) y)) t)) (*.f64 z (/.f64 y t)))))
(fma.f64 1/6 (*.f64 (/.f64 (pow.f64 z 3) t) (fma.f64 2 (pow.f64 y 3) (fma.f64 y (*.f64 y -3) y))) (fma.f64 1/2 (*.f64 (-.f64 y (*.f64 y y)) (/.f64 (*.f64 z z) t)) (fma.f64 1/24 (*.f64 (pow.f64 z 4) (/.f64 (+.f64 y (+.f64 (*.f64 (pow.f64 y 3) (+.f64 12 (*.f64 y -6))) (*.f64 (*.f64 y y) -7))) t)) (*.f64 z (/.f64 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)
(/.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)
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)

localize7.0ms (0%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓5.8b
(*.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
0.0ms
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
z
@inf
(*.f64 y (/.f64 (neg.f64 z) t))
0.0ms
t
@-inf
(*.f64 y (/.f64 (neg.f64 z) t))

rewrite54.0ms (0.2%)

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))))))))

simplify28.0ms (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)))

localize11.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(-.f64 x (*.f64 (/.f64 1 t) (*.f64 z y)))
✓3.5b
(*.f64 (/.f64 1 t) (*.f64 z y))
Compiler

Compiled 31 to 15 computations (51.6% saved)

series5.0ms (0%)

Counts
2 → 84
Calls

21 calls:

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

rewrite107.0ms (0.5%)

Algorithm
1×batch-egg-rewrite
Rules
846×prod-diff_binary64
562×log-prod_binary64
278×pow2_binary64
252×fma-def_binary64
237×egg-rr
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01017
121317
2290017
Stop Event
1×node limit
Counts
2 → 267
Calls
Call 1
Inputs
(*.f64 (/.f64 1 t) (*.f64 z y))
(-.f64 x (*.f64 (/.f64 1 t) (*.f64 z y)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 y (/.f64 z t)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (/.f64 z t))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (/.f64 z t)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (/.f64 z t)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (/.f64 z t)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 y (/.f64 z t)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 t (*.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 z (/.f64 t y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 y (/.f64 t z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 z y) t)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (*.f64 z y)) 2) (/.f64 t (cbrt.f64 (*.f64 z y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (*.f64 z y)) (/.f64 t (sqrt.f64 (*.f64 z y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 z y)) (neg.f64 t))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 z y) (sqrt.f64 t)) (sqrt.f64 t))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 z y) 1) t)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 z y) (pow.f64 (cbrt.f64 t) 2)) (cbrt.f64 t))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (*.f64 z y)) (neg.f64 t))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 z y) -1) (neg.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)) 2) 1/2)))) (#(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 (pow.f64 (*.f64 y (/.f64 z t)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 t (*.f64 z y)) -1)))) (#(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 log.f64 (+.f64 1 (expm1.f64 (*.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 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))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 y (/.f64 z t))) 1))))))
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(-.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 y (/.f64 z t)))) (fma.f64 (/.f64 -1 t) (*.f64 z y) (*.f64 y (/.f64 z t))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 y (/.f64 z t)))) (-.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 y (/.f64 z t)))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 y (/.f64 z t)))) (cbrt.f64 (pow.f64 (*.f64 y (/.f64 z t)) 2)) (*.f64 y (/.f64 z t))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 y (/.f64 z t)))) (-.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 y (/.f64 z t)))) (fma.f64 (neg.f64 y) (/.f64 z t) (*.f64 y (/.f64 z t))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (*.f64 y (/.f64 z t)) 2))) (cbrt.f64 (*.f64 y (/.f64 z t))) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (/.f64 z t)) y x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 -1 t) 1) (*.f64 z y) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 -1 t) z) y x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 -1 t) y) z x)))) (#(struct:change #<rule egg-rr> (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)))))

simplify76.0ms (0.3%)

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
351 → 274
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)
(*.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))
(*.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))
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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 -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))
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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))
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))

localize13.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(/.f64 (exp.f64 z) t)
✓0.1b
(*.f64 y (-.f64 (/.f64 1 t) (/.f64 (exp.f64 z) t)))
✓2.2b
(-.f64 (/.f64 1 t) (/.f64 (exp.f64 z) t))
Compiler

Compiled 35 to 16 computations (54.3% saved)

series14.0ms (0.1%)

Counts
3 → 36
Calls

21 calls:

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

rewrite109.0ms (0.5%)

Algorithm
1×batch-egg-rewrite
Rules
760×prod-diff_binary64
537×log-prod_binary64
296×fma-def_binary64
282×pow2_binary64
227×egg-rr
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01027
121327
2307527
Stop Event
1×node limit
Counts
3 → 299
Calls
Call 1
Inputs
(-.f64 (/.f64 1 t) (/.f64 (exp.f64 z) t))
(*.f64 y (-.f64 (/.f64 1 t) (/.f64 (exp.f64 z) t)))
(/.f64 (exp.f64 z) t)
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (/.f64 (-.f64 1 (exp.f64 z)) t) y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 t) y) (*.f64 (/.f64 (neg.f64 (exp.f64 z)) t) y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y (/.f64 1 t)) (*.f64 y (/.f64 (neg.f64 (exp.f64 z)) t)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 (-.f64 1 (exp.f64 z)) t)) y)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 (-.f64 1 (exp.f64 z)) t)) y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 (-.f64 1 (exp.f64 z)) t)) y))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 (-.f64 1 (exp.f64 z)) t)) y))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 (-.f64 1 (exp.f64 z)) t) y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 t (*.f64 t (exp.f64 z))) y) (*.f64 t t))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (exp.f64 z)) y) t)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 t -3) (pow.f64 (/.f64 (exp.f64 z) t) 3)) y) (fma.f64 (/.f64 (exp.f64 z) t) (+.f64 (/.f64 1 t) (/.f64 (exp.f64 z) t)) (pow.f64 t -2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 t -2) (pow.f64 (/.f64 (exp.f64 z) t) 2)) y) (+.f64 (/.f64 1 t) (/.f64 (exp.f64 z) t)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (-.f64 t (*.f64 t (exp.f64 z)))) (*.f64 t t))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (-.f64 1 (exp.f64 z))) t)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (-.f64 (pow.f64 t -3) (pow.f64 (/.f64 (exp.f64 z) t) 3))) (fma.f64 (/.f64 (exp.f64 z) t) (+.f64 (/.f64 1 t) (/.f64 (exp.f64 z) t)) (pow.f64 t -2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (-.f64 (pow.f64 t -2) (pow.f64 (/.f64 (exp.f64 z) t) 2))) (+.f64 (/.f64 1 t) (/.f64 (exp.f64 z) t)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 (-.f64 1 (exp.f64 z)) t) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 (-.f64 1 (exp.f64 z)) t) y) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 (-.f64 1 (exp.f64 z)) t) y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 (-.f64 1 (exp.f64 z)) t) y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 (-.f64 1 (exp.f64 z)) t) y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (/.f64 (-.f64 1 (exp.f64 z)) t) 3) (pow.f64 y 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 y 3) (pow.f64 (/.f64 (-.f64 1 (exp.f64 z)) t) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (/.f64 (-.f64 1 (exp.f64 z)) t) y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (/.f64 (-.f64 1 (exp.f64 z)) t)) y))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 (-.f64 1 (exp.f64 z)) t) y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 (-.f64 1 (exp.f64 z)) t) y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 (-.f64 1 (exp.f64 z)) t) 3) (pow.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 y 3) (pow.f64 (/.f64 (-.f64 1 (exp.f64 z)) t) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 (-.f64 1 (exp.f64 z)) t) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 (-.f64 1 (exp.f64 z)) t) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 (-.f64 1 (exp.f64 z)) t) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 (-.f64 1 (exp.f64 z)) t) y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 t) y (*.f64 (/.f64 (neg.f64 (exp.f64 z)) t) y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y (/.f64 1 t) (*.f64 y (/.f64 (neg.f64 (exp.f64 z)) t)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (exp.f64 z) t))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (exp.f64 z) t))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (exp.f64 z) t)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (exp.f64 z) t)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (exp.f64 z) t)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (exp.f64 z) t))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (exp.f64 z) t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 t) (exp.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 z) (/.f64 1 t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (exp.f64 z) t) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (exp.f64 z)) 2) (*.f64 (cbrt.f64 (exp.f64 z)) (/.f64 1 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (exp.f64 z) t)) (pow.f64 (cbrt.f64 (/.f64 (exp.f64 z) t)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (exp.f64 z) t)) 2) (cbrt.f64 (/.f64 (exp.f64 z) t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (exp.f64 z)) (*.f64 (sqrt.f64 (exp.f64 z)) (/.f64 1 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (exp.f64 z) t)) (sqrt.f64 (/.f64 (exp.f64 z) t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 t -1/2) (/.f64 (exp.f64 z) (sqrt.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (exp.f64 z)) (/.f64 1 (neg.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 t) 2)) (/.f64 (exp.f64 z) (cbrt.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (exp.f64 z)) 2) 1) (/.f64 (cbrt.f64 (exp.f64 z)) t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (exp.f64 z)) 1) (/.f64 (sqrt.f64 (exp.f64 z)) t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (exp.f64 z)) 2) (pow.f64 (cbrt.f64 t) 2)) (cbrt.f64 (/.f64 (exp.f64 z) t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (exp.f64 z)) (pow.f64 (cbrt.f64 t) 2)) (/.f64 (sqrt.f64 (exp.f64 z)) (cbrt.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (exp.f64 z)) 2) (sqrt.f64 t)) (/.f64 (cbrt.f64 (exp.f64 z)) (sqrt.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (exp.f64 z) (cbrt.f64 (pow.f64 t -2))) (cbrt.f64 (/.f64 1 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (exp.f64 z) (pow.f64 t -1/2)) (pow.f64 t -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (exp.f64 z) t) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (exp.f64 z) t) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (exp.f64 z) t)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (exp.f64 z) t)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (exp.f64 z) t) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 t (exp.f64 z)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 t (exp.f64 z)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (exp.f64 z) (neg.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (exp.f64 z) t) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (exp.f64 z) t)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (exp.f64 z) t))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (exp.f64 z) t) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (exp.f64 z) t)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (exp.f64 z) t)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 z (log.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 z (log.f64 t)) 1))))))

simplify78.0ms (0.3%)

Algorithm
1×egg-herbie
Rules
538×cancel-sign-sub-inv_binary64
531×fma-neg_binary64
435×fma-def_binary64
404×associate-*l/_binary64
384×*-commutative_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
068519
1190514
2449514
31222468
43284451
57680451
Stop Event
1×node limit
Counts
335 → 325
Calls
Call 1
Inputs
(/.f64 (-.f64 1 (exp.f64 z)) t)
(/.f64 (-.f64 1 (exp.f64 z)) t)
(/.f64 (-.f64 1 (exp.f64 z)) t)
(/.f64 (-.f64 1 (exp.f64 z)) t)
(/.f64 (-.f64 1 (exp.f64 z)) t)
(/.f64 (-.f64 1 (exp.f64 z)) t)
(/.f64 (-.f64 1 (exp.f64 z)) t)
(/.f64 (-.f64 1 (exp.f64 z)) t)
(/.f64 (+.f64 1 (*.f64 -1 (exp.f64 z))) t)
(/.f64 (+.f64 1 (*.f64 -1 (exp.f64 z))) t)
(/.f64 (+.f64 1 (*.f64 -1 (exp.f64 z))) t)
(/.f64 (+.f64 1 (*.f64 -1 (exp.f64 z))) t)
(*.f64 -1 (/.f64 z t))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 z 2) t)) (*.f64 -1 (/.f64 z t)))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 z 2) t)) (+.f64 (*.f64 -1/6 (/.f64 (pow.f64 z 3) t)) (*.f64 -1 (/.f64 z t))))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 z 2) t)) (+.f64 (*.f64 -1/6 (/.f64 (pow.f64 z 3) t)) (+.f64 (*.f64 -1/24 (/.f64 (pow.f64 z 4) t)) (*.f64 -1 (/.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 (*.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 (*.f64 y (-.f64 1 (exp.f64 z))) t)
(/.f64 (*.f64 y (+.f64 1 (*.f64 -1 (exp.f64 z)))) t)
(/.f64 (*.f64 y (+.f64 1 (*.f64 -1 (exp.f64 z)))) t)
(/.f64 (*.f64 y (+.f64 1 (*.f64 -1 (exp.f64 z)))) t)
(/.f64 (*.f64 y (+.f64 1 (*.f64 -1 (exp.f64 z)))) t)
(*.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 t)
(+.f64 (/.f64 z t) (/.f64 1 t))
(+.f64 (/.f64 z t) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 z 2) t)) (/.f64 1 t)))
(+.f64 (/.f64 z t) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 z 2) t)) (+.f64 (/.f64 1 t) (*.f64 1/6 (/.f64 (pow.f64 z 3) t)))))
Outputs
(/.f64 (-.f64 1 (exp.f64 z)) t)
(/.f64 (neg.f64 (expm1.f64 z)) t)
(/.f64 (-.f64 1 (exp.f64 z)) t)
(/.f64 (neg.f64 (expm1.f64 z)) t)
(/.f64 (-.f64 1 (exp.f64 z)) t)
(/.f64 (neg.f64 (expm1.f64 z)) t)
(/.f64 (-.f64 1 (exp.f64 z)) t)
(/.f64 (neg.f64 (expm1.f64 z)) t)
(/.f64 (-.f64 1 (exp.f64 z)) t)
(/.f64 (neg.f64 (expm1.f64 z)) t)
(/.f64 (-.f64 1 (exp.f64 z)) t)
(/.f64 (neg.f64 (expm1.f64 z)) t)
(/.f64 (-.f64 1 (exp.f64 z)) t)
(/.f64 (neg.f64 (expm1.f64 z)) t)
(/.f64 (-.f64 1 (exp.f64 z)) t)
(/.f64 (neg.f64 (expm1.f64 z)) t)
(/.f64 (+.f64 1 (*.f64 -1 (exp.f64 z))) t)
(/.f64 (-.f64 1 (exp.f64 z)) t)
(/.f64 (neg.f64 (expm1.f64 z)) t)
(/.f64 (+.f64 1 (*.f64 -1 (exp.f64 z))) t)
(/.f64 (-.f64 1 (exp.f64 z)) t)
(/.f64 (neg.f64 (expm1.f64 z)) t)
(/.f64 (+.f64 1 (*.f64 -1 (exp.f64 z))) t)
(/.f64 (-.f64 1 (exp.f64 z)) t)
(/.f64 (neg.f64 (expm1.f64 z)) t)
(/.f64 (+.f64 1 (*.f64 -1 (exp.f64 z))) t)
(/.f64 (-.f64 1 (exp.f64 z)) t)
(/.f64 (neg.f64 (expm1.f64 z)) t)
(*.f64 -1 (/.f64 z t))
(neg.f64 (/.f64 z t))
(/.f64 (neg.f64 z) t)
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 z 2) t)) (*.f64 -1 (/.f64 z t)))
(fma.f64 -1/2 (/.f64 (*.f64 z z) t) (neg.f64 (/.f64 z t)))
(fma.f64 -1/2 (/.f64 z (/.f64 t z)) (/.f64 (neg.f64 z) t))
(-.f64 (*.f64 -1/2 (*.f64 (/.f64 z t) z)) (/.f64 z t))
(-.f64 (*.f64 (*.f64 z z) (/.f64 -1/2 t)) (/.f64 z t))
(-.f64 (*.f64 -1/2 (/.f64 z (/.f64 t z))) (/.f64 z t))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 z 2) t)) (+.f64 (*.f64 -1/6 (/.f64 (pow.f64 z 3) t)) (*.f64 -1 (/.f64 z t))))
(fma.f64 -1/2 (/.f64 (*.f64 z z) t) (fma.f64 -1/6 (/.f64 (pow.f64 z 3) t) (neg.f64 (/.f64 z t))))
(fma.f64 -1/2 (/.f64 z (/.f64 t z)) (fma.f64 -1/6 (/.f64 (pow.f64 z 3) t) (/.f64 (neg.f64 z) t)))
(fma.f64 -1/2 (*.f64 (/.f64 z t) z) (-.f64 (*.f64 -1/6 (/.f64 (pow.f64 z 3) t)) (/.f64 z t)))
(-.f64 (*.f64 (*.f64 z z) (+.f64 (/.f64 -1/2 t) (*.f64 (/.f64 -1/6 t) z))) (/.f64 z t))
(fma.f64 z (*.f64 z (+.f64 (/.f64 -1/2 t) (/.f64 -1/6 (/.f64 t z)))) (/.f64 (neg.f64 z) t))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 z 2) t)) (+.f64 (*.f64 -1/6 (/.f64 (pow.f64 z 3) t)) (+.f64 (*.f64 -1/24 (/.f64 (pow.f64 z 4) t)) (*.f64 -1 (/.f64 z t)))))
(fma.f64 -1/2 (/.f64 (*.f64 z z) t) (fma.f64 -1/6 (/.f64 (pow.f64 z 3) t) (fma.f64 -1/24 (/.f64 (pow.f64 z 4) t) (neg.f64 (/.f64 z t)))))
(fma.f64 -1/2 (/.f64 z (/.f64 t z)) (-.f64 (fma.f64 -1/6 (/.f64 (pow.f64 z 3) t) (/.f64 -1/24 (/.f64 t (pow.f64 z 4)))) (/.f64 z t)))
(fma.f64 -1/2 (*.f64 (/.f64 z t) z) (-.f64 (fma.f64 -1/6 (/.f64 (pow.f64 z 3) t) (*.f64 -1/24 (/.f64 (pow.f64 z 4) t))) (/.f64 z t)))
(-.f64 (fma.f64 -1/24 (/.f64 (pow.f64 z 4) t) (*.f64 (*.f64 z z) (+.f64 (/.f64 -1/2 t) (*.f64 (/.f64 -1/6 t) z)))) (/.f64 z t))
(-.f64 (*.f64 (*.f64 z z) (+.f64 (*.f64 z (+.f64 (/.f64 -1/6 t) (/.f64 -1/24 (/.f64 t z)))) (/.f64 -1/2 t))) (/.f64 z t))
(/.f64 (*.f64 y (-.f64 1 (exp.f64 z))) t)
(/.f64 y (/.f64 t (-.f64 1 (exp.f64 z))))
(*.f64 (/.f64 y t) (-.f64 1 (exp.f64 z)))
(*.f64 (-.f64 1 (exp.f64 z)) (/.f64 y t))
(*.f64 (neg.f64 (expm1.f64 z)) (/.f64 y t))
(/.f64 (*.f64 y (-.f64 1 (exp.f64 z))) t)
(/.f64 y (/.f64 t (-.f64 1 (exp.f64 z))))
(*.f64 (/.f64 y t) (-.f64 1 (exp.f64 z)))
(*.f64 (-.f64 1 (exp.f64 z)) (/.f64 y t))
(*.f64 (neg.f64 (expm1.f64 z)) (/.f64 y t))
(/.f64 (*.f64 y (-.f64 1 (exp.f64 z))) t)
(/.f64 y (/.f64 t (-.f64 1 (exp.f64 z))))
(*.f64 (/.f64 y t) (-.f64 1 (exp.f64 z)))
(*.f64 (-.f64 1 (exp.f64 z)) (/.f64 y t))
(*.f64 (neg.f64 (expm1.f64 z)) (/.f64 y t))
(/.f64 (*.f64 y (-.f64 1 (exp.f64 z))) t)
(/.f64 y (/.f64 t (-.f64 1 (exp.f64 z))))
(*.f64 (/.f64 y t) (-.f64 1 (exp.f64 z)))
(*.f64 (-.f64 1 (exp.f64 z)) (/.f64 y t))
(*.f64 (neg.f64 (expm1.f64 z)) (/.f64 y t))
(/.f64 (*.f64 y (-.f64 1 (exp.f64 z))) t)
(/.f64 y (/.f64 t (-.f64 1 (exp.f64 z))))
(*.f64 (/.f64 y t) (-.f64 1 (exp.f64 z)))
(*.f64 (-.f64 1 (exp.f64 z)) (/.f64 y t))
(*.f64 (neg.f64 (expm1.f64 z)) (/.f64 y t))
(/.f64 (*.f64 y (-.f64 1 (exp.f64 z))) t)
(/.f64 y (/.f64 t (-.f64 1 (exp.f64 z))))
(*.f64 (/.f64 y t) (-.f64 1 (exp.f64 z)))
(*.f64 (-.f64 1 (exp.f64 z)) (/.f64 y t))
(*.f64 (neg.f64 (expm1.f64 z)) (/.f64 y t))
(/.f64 (*.f64 y (-.f64 1 (exp.f64 z))) t)
(/.f64 y (/.f64 t (-.f64 1 (exp.f64 z))))
(*.f64 (/.f64 y t) (-.f64 1 (exp.f64 z)))
(*.f64 (-.f64 1 (exp.f64 z)) (/.f64 y t))
(*.f64 (neg.f64 (expm1.f64 z)) (/.f64 y t))
(/.f64 (*.f64 y (-.f64 1 (exp.f64 z))) t)
(/.f64 y (/.f64 t (-.f64 1 (exp.f64 z))))
(*.f64 (/.f64 y t) (-.f64 1 (exp.f64 z)))
(*.f64 (-.f64 1 (exp.f64 z)) (/.f64 y t))
(*.f64 (neg.f64 (expm1.f64 z)) (/.f64 y t))
(/.f64 (*.f64 y (+.f64 1 (*.f64 -1 (exp.f64 z)))) t)
(/.f64 y (/.f64 t (-.f64 1 (exp.f64 z))))
(*.f64 (/.f64 y t) (-.f64 1 (exp.f64 z)))
(*.f64 (-.f64 1 (exp.f64 z)) (/.f64 y t))
(*.f64 (neg.f64 (expm1.f64 z)) (/.f64 y t))
(/.f64 (*.f64 y (+.f64 1 (*.f64 -1 (exp.f64 z)))) t)
(/.f64 y (/.f64 t (-.f64 1 (exp.f64 z))))
(*.f64 (/.f64 y t) (-.f64 1 (exp.f64 z)))
(*.f64 (-.f64 1 (exp.f64 z)) (/.f64 y t))
(*.f64 (neg.f64 (expm1.f64 z)) (/.f64 y t))
(/.f64 (*.f64 y (+.f64 1 (*.f64 -1 (exp.f64 z)))) t)
(/.f64 y (/.f64 t (-.f64 1 (exp.f64 z))))
(*.f64 (/.f64 y t) (-.f64 1 (exp.f64 z)))
(*.f64 (-.f64 1 (exp.f64 z)) (/.f64 y t))
(*.f64 (neg.f64 (expm1.f64 z)) (/.f64 y t))
(/.f64 (*.f64 y (+.f64 1 (*.f64 -1 (exp.f64 z)))) t)
(/.f64 y (/.f64 t (-.f64 1 (exp.f64 z))))
(*.f64 (/.f64 y t) (-.f64 1 (exp.f64 z)))
(*.f64 (-.f64 1 (exp.f64 z)) (/.f64 y t))
(*.f64 (neg.f64 (expm1.f64 z)) (/.f64 y t))
(*.f64 -1 (/.f64 (*.f64 y z) t))
(neg.f64 (/.f64 y (/.f64 t z)))
(/.f64 (*.f64 (neg.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 y (/.f64 t z)) (/.f64 (*.f64 -1/2 (*.f64 (*.f64 z z) y)) t))
(-.f64 (/.f64 (*.f64 -1/2 (*.f64 (*.f64 z z) y)) t) (/.f64 y (/.f64 t z)))
(-.f64 (*.f64 -1/2 (*.f64 (*.f64 z z) (/.f64 y t))) (*.f64 z (/.f64 y t)))
(*.f64 (/.f64 y t) (-.f64 (*.f64 -1/2 (*.f64 z z)) z))
(*.f64 (/.f64 y t) (fma.f64 -1/2 (*.f64 z z) (neg.f64 z)))
(+.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 y (/.f64 t z)) (fma.f64 -1/2 (/.f64 y (/.f64 t (*.f64 z z))) (*.f64 -1/6 (/.f64 y (/.f64 t (pow.f64 z 3))))))
(-.f64 (fma.f64 -1/6 (*.f64 (/.f64 y t) (pow.f64 z 3)) (/.f64 (*.f64 -1/2 (*.f64 (*.f64 z z) y)) t)) (/.f64 y (/.f64 t z)))
(-.f64 (fma.f64 -1/2 (*.f64 (*.f64 z z) (/.f64 y t)) (*.f64 -1/6 (*.f64 (pow.f64 z 3) (/.f64 y t)))) (*.f64 z (/.f64 y t)))
(fma.f64 (/.f64 -1/6 t) (*.f64 (pow.f64 z 3) y) (*.f64 (/.f64 y t) (-.f64 (*.f64 -1/2 (*.f64 z z)) z)))
(*.f64 (/.f64 y t) (-.f64 (*.f64 (*.f64 z z) (+.f64 (*.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 y (/.f64 t z)) (fma.f64 -1/2 (/.f64 y (/.f64 t (*.f64 z z))) (fma.f64 -1/24 (/.f64 y (/.f64 t (pow.f64 z 4))) (*.f64 -1/6 (/.f64 y (/.f64 t (pow.f64 z 3)))))))
(-.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 (*.f64 (*.f64 -1/24 y) (pow.f64 z 4)) t))) (/.f64 y (/.f64 t z)))
(-.f64 (fma.f64 -1/2 (*.f64 (*.f64 z z) (/.f64 y t)) (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 (*.f64 -1/2 (*.f64 z z)) z)) (*.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 (*.f64 z z) (+.f64 (*.f64 z -1/6) -1/2)) (+.f64 z (*.f64 1/24 (pow.f64 z 4)))))
(/.f64 1 t)
(+.f64 (/.f64 z t) (/.f64 1 t))
(+.f64 (/.f64 z t) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 z 2) t)) (/.f64 1 t)))
(+.f64 (/.f64 z t) (fma.f64 1/2 (/.f64 (*.f64 z z) t) (/.f64 1 t)))
(+.f64 (/.f64 z t) (fma.f64 (/.f64 z (/.f64 t z)) 1/2 (/.f64 1 t)))
(+.f64 (/.f64 z t) (fma.f64 (*.f64 (/.f64 z t) z) 1/2 (/.f64 1 t)))
(+.f64 (/.f64 z t) (fma.f64 (*.f64 z (/.f64 z t)) 1/2 (/.f64 1 t)))
(+.f64 (/.f64 z t) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 z 2) t)) (+.f64 (/.f64 1 t) (*.f64 1/6 (/.f64 (pow.f64 z 3) t)))))
(+.f64 (/.f64 z t) (+.f64 (fma.f64 1/2 (/.f64 (*.f64 z z) t) (/.f64 1 t)) (*.f64 (/.f64 (pow.f64 z 3) t) 1/6)))
(+.f64 (/.f64 z t) (fma.f64 (/.f64 z (/.f64 t z)) 1/2 (fma.f64 (/.f64 (pow.f64 z 3) t) 1/6 (/.f64 1 t))))
(+.f64 (/.f64 z t) (fma.f64 (*.f64 (/.f64 z t) z) 1/2 (fma.f64 (/.f64 (pow.f64 z 3) t) 1/6 (/.f64 1 t))))
(+.f64 (/.f64 z t) (fma.f64 (/.f64 1/6 t) (pow.f64 z 3) (fma.f64 (*.f64 z (/.f64 z t)) 1/2 (/.f64 1 t))))

localize11.0ms (0%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(*.f64 (expm1.f64 z) y)
✓0.2b
(log1p.f64 (*.f64 (expm1.f64 z) y))
✓3.0b
(/.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
@inf
(/.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
z
@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)

rewrite62.0ms (0.3%)

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)))
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(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))))

eval518.0ms (2.3%)

Compiler

Compiled 25971 to 11976 computations (53.9% saved)

prune263.0ms (1.2%)

Pruning

29 alts after pruning (23 fresh and 6 done)

PrunedKeptTotal
New987171004
Fresh8614
Picked011
Done257
Total997291026
Error
0.2b
Counts
1026 → 29
Alt Table
Click to see full alt table
StatusErrorProgram
1.9b
(pow.f64 (cbrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) 3)
16.1b
(-.f64 x (/.f64 1 (+.f64 (/.f64 t (*.f64 (-.f64 (exp.f64 z) 1) y)) (*.f64 1/2 t))))
▶0.6b
(fma.f64 (/.f64 -1 t) (log1p.f64 (*.f64 y (expm1.f64 z))) x)
✓9.7b
(-.f64 x (/.f64 (*.f64 (expm1.f64 z) y) t))
22.0b
(-.f64 x (/.f64 (*.f64 y (+.f64 z (*.f64 (*.f64 z z) (+.f64 (*.f64 z 1/6) 1/2)))) t))
62.2b
(/.f64 (*.f64 y z) t)
0.6b
(-.f64 x (/.f64 (/.f64 1 t) (/.f64 1 (log1p.f64 (*.f64 y (expm1.f64 z))))))
18.7b
(-.f64 x (/.f64 y (/.f64 t z)))
49.4b
(/.f64 (neg.f64 (exp.f64 (log.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))))) t)
55.8b
(*.f64 (/.f64 y t) (neg.f64 z))
53.6b
(*.f64 y (-.f64 (*.f64 (*.f64 z z) (+.f64 (*.f64 z (+.f64 (/.f64 -1/6 t) (/.f64 -1/24 (/.f64 t z)))) (/.f64 -1/2 t))) (/.f64 z t)))
▶20.5b
(-.f64 x (/.f64 z (/.f64 t y)))
▶62.2b
(/.f64 y (/.f64 t z))
✓18.2b
(-.f64 x (*.f64 (/.f64 1 t) (*.f64 z y)))
61.9b
(*.f64 y (-.f64 (/.f64 1 t) (/.f64 1 t)))
53.5b
(*.f64 y (-.f64 (*.f64 -1/2 (/.f64 z (/.f64 t z))) (/.f64 z t)))
✓53.3b
(*.f64 y (/.f64 (neg.f64 z) t))
49.4b
(/.f64 (neg.f64 (log1p.f64 (*.f64 y z))) t)
▶48.1b
(/.f64 (neg.f64 (*.f64 y (expm1.f64 z))) t)
48.2b
(*.f64 (/.f64 (expm1.f64 z) t) (neg.f64 y))
21.8b
x
18.2b
(-.f64 x (/.f64 (*.f64 z y) t))
▶56.2b
(*.f64 (/.f64 y t) (-.f64 (*.f64 (*.f64 z z) (+.f64 (*.f64 z -1/6) -1/2)) z))
18.2b
(-.f64 x (/.f64 1 (/.f64 t (*.f64 z y))))
✓0.6b
(-.f64 x (/.f64 1 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z))))))
53.2b
(/.f64 (*.f64 y z) (neg.f64 t))
✓41.5b
(/.f64 (neg.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) t)
17.6b
(-.f64 x (*.f64 (/.f64 1 t) (log1p.f64 (*.f64 z (+.f64 (*.f64 y (*.f64 1/2 z)) y)))))
✓0.5b
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))
Compiler

Compiled 714 to 501 computations (29.8% saved)

localize14.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(*.f64 y (expm1.f64 z))
0.2b
(log1p.f64 (*.f64 y (expm1.f64 z)))
✓0.3b
(fma.f64 (/.f64 -1 t) (log1p.f64 (*.f64 y (expm1.f64 z))) x)
Compiler

Compiled 33 to 13 computations (60.6% saved)

series7.0ms (0%)

Counts
1 → 48
Calls

12 calls:

TimeVariablePointExpression
1.0ms
z
@inf
(fma.f64 (/.f64 -1 t) (log1p.f64 (*.f64 y (expm1.f64 z))) x)
1.0ms
t
@0
(fma.f64 (/.f64 -1 t) (log1p.f64 (*.f64 y (expm1.f64 z))) x)
1.0ms
y
@inf
(fma.f64 (/.f64 -1 t) (log1p.f64 (*.f64 y (expm1.f64 z))) x)
1.0ms
y
@-inf
(fma.f64 (/.f64 -1 t) (log1p.f64 (*.f64 y (expm1.f64 z))) x)
1.0ms
z
@-inf
(fma.f64 (/.f64 -1 t) (log1p.f64 (*.f64 y (expm1.f64 z))) x)

rewrite66.0ms (0.3%)

Algorithm
1×batch-egg-rewrite
Rules
495×log-prod_binary64
390×exp-prod_binary64
329×prod-exp_binary64
286×pow-prod-down_binary64
275×pow2_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01115
121415
2248115
Stop Event
1×node limit
Counts
1 → 36
Calls
Call 1
Inputs
(fma.f64 (/.f64 -1 t) (log1p.f64 (*.f64 y (expm1.f64 z))) x)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t)) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 (/.f64 -1 t) (log1p.f64 (*.f64 y (expm1.f64 z))) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t)) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 (/.f64 -1 t) (log1p.f64 (*.f64 y (expm1.f64 z))) x))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 (/.f64 -1 t) (log1p.f64 (*.f64 y (expm1.f64 z))) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (/.f64 -1 t) (log1p.f64 (*.f64 y (expm1.f64 z))) x)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (/.f64 -1 t) (log1p.f64 (*.f64 y (expm1.f64 z))) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (/.f64 -1 t) (log1p.f64 (*.f64 y (expm1.f64 z))) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (/.f64 -1 t) (log1p.f64 (*.f64 y (expm1.f64 z))) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (/.f64 -1 t) (log1p.f64 (*.f64 y (expm1.f64 z))) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (/.f64 -1 t) (log1p.f64 (*.f64 y (expm1.f64 z))) x)) (cbrt.f64 (pow.f64 (fma.f64 (/.f64 -1 t) (log1p.f64 (*.f64 y (expm1.f64 z))) x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (fma.f64 (/.f64 -1 t) (log1p.f64 (*.f64 y (expm1.f64 z))) x) 2)) (cbrt.f64 (fma.f64 (/.f64 -1 t) (log1p.f64 (*.f64 y (expm1.f64 z))) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (/.f64 -1 t) (log1p.f64 (*.f64 y (expm1.f64 z))) x)) (sqrt.f64 (fma.f64 (/.f64 -1 t) (log1p.f64 (*.f64 y (expm1.f64 z))) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t)) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t)) 2) (-.f64 (*.f64 x x) (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t)) 2) (*.f64 x x)) (-.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t)) x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (/.f64 -1 t) (log1p.f64 (*.f64 y (expm1.f64 z))) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (/.f64 -1 t) (log1p.f64 (*.f64 y (expm1.f64 z))) x) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (/.f64 -1 t) (log1p.f64 (*.f64 y (expm1.f64 z))) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (/.f64 -1 t) (log1p.f64 (*.f64 y (expm1.f64 z))) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (/.f64 -1 t) (log1p.f64 (*.f64 y (expm1.f64 z))) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (fma.f64 (/.f64 -1 t) (log1p.f64 (*.f64 y (expm1.f64 z))) x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 (/.f64 -1 t) (log1p.f64 (*.f64 y (expm1.f64 z))) x))) 2)) (cbrt.f64 (log.f64 (fma.f64 (/.f64 -1 t) (log1p.f64 (*.f64 y (expm1.f64 z))) x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 (/.f64 -1 t) (log1p.f64 (*.f64 y (expm1.f64 z))) x)))) (sqrt.f64 (log.f64 (fma.f64 (/.f64 -1 t) (log1p.f64 (*.f64 y (expm1.f64 z))) x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (/.f64 -1 t) (log1p.f64 (*.f64 y (expm1.f64 z))) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 (/.f64 -1 t) (log1p.f64 (*.f64 y (expm1.f64 z))) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 (/.f64 -1 t) (log1p.f64 (*.f64 y (expm1.f64 z))) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (pow.f64 (fma.f64 y (expm1.f64 z) 1) (/.f64 -1 t))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (fma.f64 y (expm1.f64 z) 1) (/.f64 -1 t)) (+.f64 1 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (/.f64 -1 t) (log1p.f64 (*.f64 y (expm1.f64 z))) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (/.f64 -1 t) (log1p.f64 (*.f64 y (expm1.f64 z))) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (/.f64 -1 t) (log1p.f64 (*.f64 y (expm1.f64 z))) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (/.f64 -1 t) (log1p.f64 (*.f64 y (expm1.f64 z))) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 (/.f64 -1 t) (log1p.f64 (*.f64 y (expm1.f64 z))) x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 (/.f64 -1 t) (log1p.f64 (*.f64 y (expm1.f64 z))) x))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 (/.f64 -1 t) (log1p.f64 (*.f64 y (expm1.f64 z))) x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 (/.f64 -1 t) (log1p.f64 (*.f64 y (expm1.f64 z))) x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 (/.f64 -1 t) (log1p.f64 (*.f64 y (expm1.f64 z))) x)) 1) 1))))))

simplify63.0ms (0.3%)

Algorithm
1×egg-herbie
Rules
540×cancel-sign-sub-inv_binary64
497×associate-/l/_binary64
374×associate-*r*_binary64
363×associate-*l*_binary64
294×fma-neg_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
097997
1304933
21000933
34713931
Stop Event
1×node limit
Counts
84 → 69
Calls
Call 1
Inputs
(*.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 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)) x)
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (pow.f64 y 2)) t)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) 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 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)) x)))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) t)) x)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) t)) x) (/.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 (/.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) t)) x)) (/.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 (/.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) t)) x)) (+.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 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1)))) t)) x)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1)))) t)) x) (/.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 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1)))) t)) x)) (/.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 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1)))) t)) x)) (+.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 (pow.f64 z 3) (+.f64 (*.f64 -3 (pow.f64 y 2)) (+.f64 y (*.f64 2 (pow.f64 y 3))))) 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 (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 (*.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 (*.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)
Outputs
(*.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)
(fma.f64 -1 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) 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)
(fma.f64 -1 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) 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)
(fma.f64 -1 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) 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)
(fma.f64 -1 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) 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)
(fma.f64 -1 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) 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)
(fma.f64 -1 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) 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)
(fma.f64 -1 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) 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)
(fma.f64 -1 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) 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)
(fma.f64 -1 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) x)
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))
x
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)) x)
(fma.f64 -1 (/.f64 (expm1.f64 z) (/.f64 t y)) x)
(-.f64 x (*.f64 (/.f64 (expm1.f64 z) t) y))
(-.f64 x (*.f64 y (/.f64 (expm1.f64 z) t)))
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (pow.f64 y 2)) t)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)) x))
(fma.f64 1/2 (/.f64 (pow.f64 (expm1.f64 z) 2) (/.f64 t (*.f64 y y))) (fma.f64 -1 (/.f64 (expm1.f64 z) (/.f64 t y)) x))
(fma.f64 1/2 (/.f64 (pow.f64 (expm1.f64 z) 2) (/.f64 t (*.f64 y y))) (-.f64 x (*.f64 (/.f64 (expm1.f64 z) t) y)))
(-.f64 (fma.f64 1/2 (*.f64 (/.f64 (pow.f64 (expm1.f64 z) 2) (/.f64 t y)) y) x) (*.f64 y (/.f64 (expm1.f64 z) t)))
(+.f64 x (*.f64 y (-.f64 (/.f64 (*.f64 1/2 (pow.f64 (expm1.f64 z) 2)) (/.f64 t y)) (/.f64 (expm1.f64 z) 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 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) 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 -1 (/.f64 (expm1.f64 z) (/.f64 t y)) x)))
(fma.f64 -1/3 (*.f64 (/.f64 (pow.f64 (expm1.f64 z) 3) t) (pow.f64 y 3)) (fma.f64 1/2 (/.f64 (pow.f64 (expm1.f64 z) 2) (/.f64 t (*.f64 y y))) (-.f64 x (*.f64 (/.f64 (expm1.f64 z) t) y))))
(fma.f64 1/2 (*.f64 (/.f64 (pow.f64 (expm1.f64 z) 2) (/.f64 t y)) y) (fma.f64 -1/3 (*.f64 (pow.f64 y 3) (/.f64 (pow.f64 (expm1.f64 z) 3) t)) (-.f64 x (*.f64 y (/.f64 (expm1.f64 z) t)))))
(+.f64 x (fma.f64 -1/3 (*.f64 (pow.f64 y 3) (/.f64 (pow.f64 (expm1.f64 z) 3) t)) (*.f64 y (-.f64 (/.f64 (*.f64 1/2 (pow.f64 (expm1.f64 z) 2)) (/.f64 t y)) (/.f64 (expm1.f64 z) t)))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) t)) x)
(fma.f64 -1 (/.f64 (+.f64 (log.f64 (expm1.f64 z)) (neg.f64 (neg.f64 (log.f64 y)))) t) x)
(-.f64 x (/.f64 (+.f64 (log.f64 (expm1.f64 z)) (log.f64 y)) t))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) t)) x) (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) (*.f64 y t))))
(-.f64 (fma.f64 -1 (/.f64 (+.f64 (log.f64 (expm1.f64 z)) (neg.f64 (neg.f64 (log.f64 y)))) t) x) (/.f64 (/.f64 1 (expm1.f64 z)) (*.f64 y t)))
(+.f64 (-.f64 x (/.f64 (+.f64 (log.f64 (expm1.f64 z)) (log.f64 y)) t)) (/.f64 -1 (*.f64 (expm1.f64 z) (*.f64 y t))))
(-.f64 (+.f64 x (/.f64 -1 (*.f64 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 (*.f64 -1 (/.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) t)) x)) (/.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 (fma.f64 -1 (/.f64 (+.f64 (log.f64 (expm1.f64 z)) (neg.f64 (neg.f64 (log.f64 y)))) t) x) (/.f64 (/.f64 1 (expm1.f64 z)) (*.f64 y t))))
(+.f64 (-.f64 x (/.f64 (+.f64 (log.f64 (expm1.f64 z)) (log.f64 y)) t)) (-.f64 (/.f64 1/2 (*.f64 t (*.f64 y (*.f64 y (pow.f64 (expm1.f64 z) 2))))) (/.f64 1 (*.f64 (expm1.f64 z) (*.f64 y t)))))
(+.f64 (-.f64 x (-.f64 (/.f64 (+.f64 (log.f64 (expm1.f64 z)) (log.f64 y)) t) (/.f64 (/.f64 (/.f64 1/2 t) (*.f64 y y)) (pow.f64 (expm1.f64 z) 2)))) (/.f64 -1 (*.f64 (expm1.f64 z) (*.f64 y t))))
(+.f64 (-.f64 x (/.f64 (+.f64 (log.f64 (expm1.f64 z)) (log.f64 y)) t)) (+.f64 (/.f64 (/.f64 (/.f64 1/2 (*.f64 y y)) (pow.f64 (expm1.f64 z) 2)) t) (/.f64 -1 (*.f64 y (*.f64 (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 (*.f64 -1 (/.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) t)) x)) (+.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 (fma.f64 -1 (/.f64 (+.f64 (log.f64 (expm1.f64 z)) (neg.f64 (neg.f64 (log.f64 y)))) t) x) (/.f64 1/2 (*.f64 (pow.f64 (expm1.f64 z) 2) (*.f64 t (*.f64 y y))))) (+.f64 (/.f64 (/.f64 1 (expm1.f64 z)) (*.f64 y t)) (/.f64 1/3 (*.f64 (pow.f64 (expm1.f64 z) 3) (*.f64 t (pow.f64 y 3))))))
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(-.f64 x (/.f64 (-.f64 (log.f64 (neg.f64 (expm1.f64 z))) (log.f64 (/.f64 -1 y))) t))
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(+.f64 (-.f64 (+.f64 x (/.f64 (/.f64 (/.f64 1/2 t) (*.f64 y y)) (pow.f64 (expm1.f64 z) 2))) (/.f64 (-.f64 (log.f64 (neg.f64 (expm1.f64 z))) (log.f64 (/.f64 -1 y))) t)) (/.f64 -1 (*.f64 (expm1.f64 z) (*.f64 y t))))
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(-.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 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1)))) t)) x)) (+.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)))) (fma.f64 -1 (/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 (neg.f64 (expm1.f64 z)))) t) x)) (+.f64 (/.f64 (/.f64 1 (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 y (*.f64 y (pow.f64 (expm1.f64 z) 2))))) (-.f64 (-.f64 x (/.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 (pow.f64 (expm1.f64 z) 3) (*.f64 t (pow.f64 y 3)))))))
(+.f64 (-.f64 (+.f64 x (/.f64 (/.f64 (/.f64 1/2 t) (*.f64 y y)) (pow.f64 (expm1.f64 z) 2))) (/.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 (pow.f64 (expm1.f64 z) 3) (*.f64 t (pow.f64 y 3))))))
(+.f64 x (+.f64 (/.f64 (-.f64 (log.f64 (/.f64 -1 y)) (log.f64 (neg.f64 (expm1.f64 z)))) t) (+.f64 (/.f64 (/.f64 (/.f64 1/2 (*.f64 y y)) (pow.f64 (expm1.f64 z) 2)) t) (+.f64 (/.f64 -1 (*.f64 y (*.f64 (expm1.f64 z) t))) (/.f64 (/.f64 -1/3 (*.f64 (pow.f64 (expm1.f64 z) 3) (pow.f64 y 3))) t)))))
x
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(fma.f64 -1 (/.f64 (*.f64 z y) t) x)
(-.f64 x (/.f64 z (/.f64 t y)))
(-.f64 x (*.f64 z (/.f64 y t)))
(+.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 (*.f64 z y) t) (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 (*.f64 z z) t) (-.f64 y (*.f64 y y))) x) (/.f64 z (/.f64 t y)))
(-.f64 (fma.f64 -1/2 (*.f64 (fma.f64 y (neg.f64 y) y) (/.f64 z (/.f64 t z))) x) (*.f64 z (/.f64 y t)))
(-.f64 (fma.f64 -1/2 (*.f64 (-.f64 y (*.f64 y y)) (/.f64 z (/.f64 t z))) x) (*.f64 z (/.f64 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 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 z 2) (+.f64 (*.f64 -1 (pow.f64 y 2)) y)) t)) x)))
(fma.f64 -1 (/.f64 (*.f64 z y) t) (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)))))) (fma.f64 -1/2 (/.f64 (*.f64 z z) (/.f64 t (fma.f64 -1 (*.f64 y y) y))) x)))
(-.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))) (fma.f64 -1/2 (*.f64 (/.f64 (*.f64 z z) t) (-.f64 y (*.f64 y y))) x)) (/.f64 z (/.f64 t y)))
(-.f64 (fma.f64 -1/2 (*.f64 (fma.f64 y (neg.f64 y) y) (/.f64 z (/.f64 t z))) (fma.f64 -1/6 (*.f64 (fma.f64 2 (pow.f64 y 3) (fma.f64 y (*.f64 y -3) y)) (/.f64 (pow.f64 z 3) t)) x)) (*.f64 z (/.f64 y t)))
(-.f64 (fma.f64 -1/2 (*.f64 (-.f64 y (*.f64 y y)) (/.f64 z (/.f64 t z))) (fma.f64 -1/6 (*.f64 (fma.f64 y (*.f64 y -3) (fma.f64 2 (pow.f64 y 3) y)) (/.f64 (pow.f64 z 3) t)) x)) (*.f64 z (/.f64 y t)))
(+.f64 (*.f64 -1 (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)) x)
(fma.f64 -1 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) 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)
(fma.f64 -1 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) 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)
(fma.f64 -1 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) 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)
(fma.f64 -1 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) 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)
(fma.f64 -1 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) 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)
(fma.f64 -1 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) 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)
(fma.f64 -1 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) 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)
(fma.f64 -1 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) 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)
(fma.f64 -1 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) 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)
(fma.f64 -1 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) 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)
(fma.f64 -1 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) 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)
(fma.f64 -1 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) 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)
(fma.f64 -1 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) 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)
(fma.f64 -1 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) 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)
(fma.f64 -1 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) 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)
(fma.f64 -1 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) 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)
(fma.f64 -1 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) x)
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))

localize6.0ms (0%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓5.8b
(/.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
t
@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
z
@-inf
(/.f64 y (/.f64 t z))

rewrite109.0ms (0.5%)

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))))))))

simplify13.0ms (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))

localize14.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(-.f64 x (/.f64 z (/.f64 t y)))
✓6.7b
(/.f64 z (/.f64 t y))
Compiler

Compiled 23 to 7 computations (69.6% saved)

series5.0ms (0%)

Counts
2 → 84
Calls

21 calls:

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

rewrite184.0ms (0.8%)

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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simplify82.0ms (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 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
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(*.f64 -1 (/.f64 (*.f64 y z) t))
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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)
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)
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(*.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))
(*.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)
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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))
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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)
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(/.f64 (*.f64 y z) t)
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(/.f64 y (/.f64 t z))
(*.f64 (/.f64 y t) z)
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(*.f64 (/.f64 y t) z)
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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 z) 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 -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))
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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 (*.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)
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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))
(+.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)
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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))
(+.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)
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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))
(+.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))
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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)
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(*.f64 -1 (/.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))
(+.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))

localize36.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 (*.f64 z -1/6) -1/2)
✓0.1b
(*.f64 (*.f64 z z) (+.f64 (*.f64 z -1/6) -1/2))
✓0.3b
(*.f64 z -1/6)
✓8.1b
(*.f64 (/.f64 y t) (-.f64 (*.f64 (*.f64 z z) (+.f64 (*.f64 z -1/6) -1/2)) z))
Compiler

Compiled 58 to 32 computations (44.8% saved)

series12.0ms (0.1%)

Counts
4 → 72
Calls

18 calls:

TimeVariablePointExpression
2.0ms
y
@0
(*.f64 (/.f64 y t) (-.f64 (*.f64 (*.f64 z z) (+.f64 (*.f64 z -1/6) -1/2)) z))
1.0ms
t
@0
(*.f64 (/.f64 y t) (-.f64 (*.f64 (*.f64 z z) (+.f64 (*.f64 z -1/6) -1/2)) z))
1.0ms
z
@inf
(*.f64 (/.f64 y t) (-.f64 (*.f64 (*.f64 z z) (+.f64 (*.f64 z -1/6) -1/2)) z))
1.0ms
z
@0
(*.f64 (/.f64 y t) (-.f64 (*.f64 (*.f64 z z) (+.f64 (*.f64 z -1/6) -1/2)) z))
1.0ms
z
@-inf
(*.f64 (/.f64 y t) (-.f64 (*.f64 (*.f64 z z) (+.f64 (*.f64 z -1/6) -1/2)) z))

rewrite273.0ms (1.2%)

Algorithm
1×batch-egg-rewrite
Rules
761×log-prod_binary64
568×fma-def_binary64
276×fma-neg_binary64
267×expm1-udef_binary64
267×log1p-udef_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01340
129940
2429140
Stop Event
1×node limit
Counts
4 → 162
Calls
Call 1
Inputs
(*.f64 (/.f64 y t) (-.f64 (*.f64 (*.f64 z z) (+.f64 (*.f64 z -1/6) -1/2)) z))
(*.f64 z -1/6)
(*.f64 (*.f64 z z) (+.f64 (*.f64 z -1/6) -1/2))
(+.f64 (*.f64 z -1/6) -1/2)
Outputs
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simplify93.0ms (0.4%)

Algorithm
1×egg-herbie
Rules
560×distribute-rgt-out_binary64
536×associate-/r*_binary64
434×fma-neg_binary64
433×associate-/r/_binary64
376×cancel-sign-sub-inv_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
033959
186931
2207931
3609847
42629847
Stop Event
1×node limit
Counts
234 → 182
Calls
Call 1
Inputs
(/.f64 (*.f64 y (-.f64 (*.f64 (pow.f64 z 2) (-.f64 (*.f64 -1/6 z) 1/2)) z)) t)
(/.f64 (*.f64 y (-.f64 (*.f64 (pow.f64 z 2) (-.f64 (*.f64 -1/6 z) 1/2)) z)) t)
(/.f64 (*.f64 y (-.f64 (*.f64 (pow.f64 z 2) (-.f64 (*.f64 -1/6 z) 1/2)) z)) t)
(/.f64 (*.f64 y (-.f64 (*.f64 (pow.f64 z 2) (-.f64 (*.f64 -1/6 z) 1/2)) z)) t)
(/.f64 (*.f64 y (-.f64 (*.f64 (pow.f64 z 2) (-.f64 (*.f64 -1/6 z) 1/2)) z)) t)
(/.f64 (*.f64 y (-.f64 (*.f64 (pow.f64 z 2) (-.f64 (*.f64 -1/6 z) 1/2)) z)) t)
(/.f64 (*.f64 y (-.f64 (*.f64 (pow.f64 z 2) (-.f64 (*.f64 -1/6 z) 1/2)) z)) t)
(/.f64 (*.f64 y (-.f64 (*.f64 (pow.f64 z 2) (-.f64 (*.f64 -1/6 z) 1/2)) z)) t)
(/.f64 (*.f64 y (-.f64 (*.f64 (pow.f64 z 2) (-.f64 (*.f64 -1/6 z) 1/2)) z)) t)
(/.f64 (*.f64 y (-.f64 (*.f64 (pow.f64 z 2) (-.f64 (*.f64 -1/6 z) 1/2)) z)) t)
(/.f64 (*.f64 y (-.f64 (*.f64 (pow.f64 z 2) (-.f64 (*.f64 -1/6 z) 1/2)) z)) t)
(/.f64 (*.f64 y (-.f64 (*.f64 (pow.f64 z 2) (-.f64 (*.f64 -1/6 z) 1/2)) z)) t)
(/.f64 (*.f64 y (-.f64 (*.f64 (pow.f64 z 2) (-.f64 (*.f64 -1/6 z) 1/2)) z)) t)
(/.f64 (*.f64 y (-.f64 (*.f64 (pow.f64 z 2) (-.f64 (*.f64 -1/6 z) 1/2)) z)) t)
(/.f64 (*.f64 y (-.f64 (*.f64 (pow.f64 z 2) (-.f64 (*.f64 -1/6 z) 1/2)) z)) t)
(/.f64 (*.f64 y (-.f64 (*.f64 (pow.f64 z 2) (-.f64 (*.f64 -1/6 z) 1/2)) z)) t)
(/.f64 (*.f64 y (-.f64 (*.f64 (pow.f64 z 2) (-.f64 (*.f64 -1/6 z) 1/2)) z)) t)
(/.f64 (*.f64 y (-.f64 (*.f64 (pow.f64 z 2) (-.f64 (*.f64 -1/6 z) 1/2)) z)) t)
(/.f64 (*.f64 y (-.f64 (*.f64 (pow.f64 z 2) (-.f64 (*.f64 -1/6 z) 1/2)) z)) t)
(/.f64 (*.f64 y (-.f64 (*.f64 (pow.f64 z 2) (-.f64 (*.f64 -1/6 z) 1/2)) z)) t)
(/.f64 (*.f64 y (-.f64 (*.f64 (pow.f64 z 2) (-.f64 (*.f64 -1/6 z) 1/2)) z)) t)
(/.f64 (*.f64 y (-.f64 (*.f64 (pow.f64 z 2) (-.f64 (*.f64 -1/6 z) 1/2)) z)) t)
(/.f64 (*.f64 y (-.f64 (*.f64 (pow.f64 z 2) (-.f64 (*.f64 -1/6 z) 1/2)) z)) t)
(/.f64 (*.f64 y (-.f64 (*.f64 (pow.f64 z 2) (-.f64 (*.f64 -1/6 z) 1/2)) z)) t)
(*.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 -1/6 (/.f64 (*.f64 y (pow.f64 z 3)) t))))
(*.f64 -1/6 (/.f64 (*.f64 y (pow.f64 z 3)) 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 -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 -1/6 (/.f64 (*.f64 y (pow.f64 z 3)) t))))
(*.f64 -1/6 (/.f64 (*.f64 y (pow.f64 z 3)) 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 -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 -1/6 (/.f64 (*.f64 y (pow.f64 z 3)) t))))
(*.f64 -1/6 z)
(*.f64 -1/6 z)
(*.f64 -1/6 z)
(*.f64 -1/6 z)
(*.f64 -1/6 z)
(*.f64 -1/6 z)
(*.f64 -1/6 z)
(*.f64 -1/6 z)
(*.f64 -1/6 z)
(*.f64 -1/6 z)
(*.f64 -1/6 z)
(*.f64 -1/6 z)
(*.f64 -1/2 (pow.f64 z 2))
(+.f64 (*.f64 -1/2 (pow.f64 z 2)) (*.f64 -1/6 (pow.f64 z 3)))
(+.f64 (*.f64 -1/2 (pow.f64 z 2)) (*.f64 -1/6 (pow.f64 z 3)))
(+.f64 (*.f64 -1/2 (pow.f64 z 2)) (*.f64 -1/6 (pow.f64 z 3)))
(*.f64 -1/6 (pow.f64 z 3))
(+.f64 (*.f64 -1/2 (pow.f64 z 2)) (*.f64 -1/6 (pow.f64 z 3)))
(+.f64 (*.f64 -1/2 (pow.f64 z 2)) (*.f64 -1/6 (pow.f64 z 3)))
(+.f64 (*.f64 -1/2 (pow.f64 z 2)) (*.f64 -1/6 (pow.f64 z 3)))
(*.f64 -1/6 (pow.f64 z 3))
(+.f64 (*.f64 -1/2 (pow.f64 z 2)) (*.f64 -1/6 (pow.f64 z 3)))
(+.f64 (*.f64 -1/2 (pow.f64 z 2)) (*.f64 -1/6 (pow.f64 z 3)))
(+.f64 (*.f64 -1/2 (pow.f64 z 2)) (*.f64 -1/6 (pow.f64 z 3)))
-1/2
(-.f64 (*.f64 -1/6 z) 1/2)
(-.f64 (*.f64 -1/6 z) 1/2)
(-.f64 (*.f64 -1/6 z) 1/2)
(*.f64 -1/6 z)
(-.f64 (*.f64 -1/6 z) 1/2)
(-.f64 (*.f64 -1/6 z) 1/2)
(-.f64 (*.f64 -1/6 z) 1/2)
(*.f64 -1/6 z)
(-.f64 (*.f64 -1/6 z) 1/2)
(-.f64 (*.f64 -1/6 z) 1/2)
(-.f64 (*.f64 -1/6 z) 1/2)
Outputs
(/.f64 (*.f64 y (-.f64 (*.f64 (pow.f64 z 2) (-.f64 (*.f64 -1/6 z) 1/2)) z)) t)
(/.f64 y (/.f64 t (-.f64 (*.f64 (*.f64 z z) (fma.f64 -1/6 z -1/2)) z)))
(*.f64 (/.f64 y t) (-.f64 (*.f64 (*.f64 z z) (fma.f64 z -1/6 -1/2)) z))
(*.f64 (fma.f64 z (*.f64 z (fma.f64 z -1/6 -1/2)) (neg.f64 z)) (/.f64 y t))
(*.f64 y (/.f64 (*.f64 z (fma.f64 z (fma.f64 z -1/6 -1/2) -1)) t))
(*.f64 (*.f64 z (/.f64 y t)) (fma.f64 z (fma.f64 z -1/6 -1/2) -1))
(/.f64 (*.f64 y (-.f64 (*.f64 (pow.f64 z 2) (-.f64 (*.f64 -1/6 z) 1/2)) z)) t)
(/.f64 y (/.f64 t (-.f64 (*.f64 (*.f64 z z) (fma.f64 -1/6 z -1/2)) z)))
(*.f64 (/.f64 y t) (-.f64 (*.f64 (*.f64 z z) (fma.f64 z -1/6 -1/2)) z))
(*.f64 (fma.f64 z (*.f64 z (fma.f64 z -1/6 -1/2)) (neg.f64 z)) (/.f64 y t))
(*.f64 y (/.f64 (*.f64 z (fma.f64 z (fma.f64 z -1/6 -1/2) -1)) t))
(*.f64 (*.f64 z (/.f64 y t)) (fma.f64 z (fma.f64 z -1/6 -1/2) -1))
(/.f64 (*.f64 y (-.f64 (*.f64 (pow.f64 z 2) (-.f64 (*.f64 -1/6 z) 1/2)) z)) t)
(/.f64 y (/.f64 t (-.f64 (*.f64 (*.f64 z z) (fma.f64 -1/6 z -1/2)) z)))
(*.f64 (/.f64 y t) (-.f64 (*.f64 (*.f64 z z) (fma.f64 z -1/6 -1/2)) z))
(*.f64 (fma.f64 z (*.f64 z (fma.f64 z -1/6 -1/2)) (neg.f64 z)) (/.f64 y t))
(*.f64 y (/.f64 (*.f64 z (fma.f64 z (fma.f64 z -1/6 -1/2) -1)) t))
(*.f64 (*.f64 z (/.f64 y t)) (fma.f64 z (fma.f64 z -1/6 -1/2) -1))
(/.f64 (*.f64 y (-.f64 (*.f64 (pow.f64 z 2) (-.f64 (*.f64 -1/6 z) 1/2)) z)) t)
(/.f64 y (/.f64 t (-.f64 (*.f64 (*.f64 z z) (fma.f64 -1/6 z -1/2)) z)))
(*.f64 (/.f64 y t) (-.f64 (*.f64 (*.f64 z z) (fma.f64 z -1/6 -1/2)) z))
(*.f64 (fma.f64 z (*.f64 z (fma.f64 z -1/6 -1/2)) (neg.f64 z)) (/.f64 y t))
(*.f64 y (/.f64 (*.f64 z (fma.f64 z (fma.f64 z -1/6 -1/2) -1)) t))
(*.f64 (*.f64 z (/.f64 y t)) (fma.f64 z (fma.f64 z -1/6 -1/2) -1))
(/.f64 (*.f64 y (-.f64 (*.f64 (pow.f64 z 2) (-.f64 (*.f64 -1/6 z) 1/2)) z)) t)
(/.f64 y (/.f64 t (-.f64 (*.f64 (*.f64 z z) (fma.f64 -1/6 z -1/2)) z)))
(*.f64 (/.f64 y t) (-.f64 (*.f64 (*.f64 z z) (fma.f64 z -1/6 -1/2)) z))
(*.f64 (fma.f64 z (*.f64 z (fma.f64 z -1/6 -1/2)) (neg.f64 z)) (/.f64 y t))
(*.f64 y (/.f64 (*.f64 z (fma.f64 z (fma.f64 z -1/6 -1/2) -1)) t))
(*.f64 (*.f64 z (/.f64 y t)) (fma.f64 z (fma.f64 z -1/6 -1/2) -1))
(/.f64 (*.f64 y (-.f64 (*.f64 (pow.f64 z 2) (-.f64 (*.f64 -1/6 z) 1/2)) z)) t)
(/.f64 y (/.f64 t (-.f64 (*.f64 (*.f64 z z) (fma.f64 -1/6 z -1/2)) z)))
(*.f64 (/.f64 y t) (-.f64 (*.f64 (*.f64 z z) (fma.f64 z -1/6 -1/2)) z))
(*.f64 (fma.f64 z (*.f64 z (fma.f64 z -1/6 -1/2)) (neg.f64 z)) (/.f64 y t))
(*.f64 y (/.f64 (*.f64 z (fma.f64 z (fma.f64 z -1/6 -1/2) -1)) t))
(*.f64 (*.f64 z (/.f64 y t)) (fma.f64 z (fma.f64 z -1/6 -1/2) -1))
(/.f64 (*.f64 y (-.f64 (*.f64 (pow.f64 z 2) (-.f64 (*.f64 -1/6 z) 1/2)) z)) t)
(/.f64 y (/.f64 t (-.f64 (*.f64 (*.f64 z z) (fma.f64 -1/6 z -1/2)) z)))
(*.f64 (/.f64 y t) (-.f64 (*.f64 (*.f64 z z) (fma.f64 z -1/6 -1/2)) z))
(*.f64 (fma.f64 z (*.f64 z (fma.f64 z -1/6 -1/2)) (neg.f64 z)) (/.f64 y t))
(*.f64 y (/.f64 (*.f64 z (fma.f64 z (fma.f64 z -1/6 -1/2) -1)) t))
(*.f64 (*.f64 z (/.f64 y t)) (fma.f64 z (fma.f64 z -1/6 -1/2) -1))
(/.f64 (*.f64 y (-.f64 (*.f64 (pow.f64 z 2) (-.f64 (*.f64 -1/6 z) 1/2)) z)) t)
(/.f64 y (/.f64 t (-.f64 (*.f64 (*.f64 z z) (fma.f64 -1/6 z -1/2)) z)))
(*.f64 (/.f64 y t) (-.f64 (*.f64 (*.f64 z z) (fma.f64 z -1/6 -1/2)) z))
(*.f64 (fma.f64 z (*.f64 z (fma.f64 z -1/6 -1/2)) (neg.f64 z)) (/.f64 y t))
(*.f64 y (/.f64 (*.f64 z (fma.f64 z (fma.f64 z -1/6 -1/2) -1)) t))
(*.f64 (*.f64 z (/.f64 y t)) (fma.f64 z (fma.f64 z -1/6 -1/2) -1))
(/.f64 (*.f64 y (-.f64 (*.f64 (pow.f64 z 2) (-.f64 (*.f64 -1/6 z) 1/2)) z)) t)
(/.f64 y (/.f64 t (-.f64 (*.f64 (*.f64 z z) (fma.f64 -1/6 z -1/2)) z)))
(*.f64 (/.f64 y t) (-.f64 (*.f64 (*.f64 z z) (fma.f64 z -1/6 -1/2)) z))
(*.f64 (fma.f64 z (*.f64 z (fma.f64 z -1/6 -1/2)) (neg.f64 z)) (/.f64 y t))
(*.f64 y (/.f64 (*.f64 z (fma.f64 z (fma.f64 z -1/6 -1/2) -1)) t))
(*.f64 (*.f64 z (/.f64 y t)) (fma.f64 z (fma.f64 z -1/6 -1/2) -1))
(/.f64 (*.f64 y (-.f64 (*.f64 (pow.f64 z 2) (-.f64 (*.f64 -1/6 z) 1/2)) z)) t)
(/.f64 y (/.f64 t (-.f64 (*.f64 (*.f64 z z) (fma.f64 -1/6 z -1/2)) z)))
(*.f64 (/.f64 y t) (-.f64 (*.f64 (*.f64 z z) (fma.f64 z -1/6 -1/2)) z))
(*.f64 (fma.f64 z (*.f64 z (fma.f64 z -1/6 -1/2)) (neg.f64 z)) (/.f64 y t))
(*.f64 y (/.f64 (*.f64 z (fma.f64 z (fma.f64 z -1/6 -1/2) -1)) t))
(*.f64 (*.f64 z (/.f64 y t)) (fma.f64 z (fma.f64 z -1/6 -1/2) -1))
(/.f64 (*.f64 y (-.f64 (*.f64 (pow.f64 z 2) (-.f64 (*.f64 -1/6 z) 1/2)) z)) t)
(/.f64 y (/.f64 t (-.f64 (*.f64 (*.f64 z z) (fma.f64 -1/6 z -1/2)) z)))
(*.f64 (/.f64 y t) (-.f64 (*.f64 (*.f64 z z) (fma.f64 z -1/6 -1/2)) z))
(*.f64 (fma.f64 z (*.f64 z (fma.f64 z -1/6 -1/2)) (neg.f64 z)) (/.f64 y t))
(*.f64 y (/.f64 (*.f64 z (fma.f64 z (fma.f64 z -1/6 -1/2) -1)) t))
(*.f64 (*.f64 z (/.f64 y t)) (fma.f64 z (fma.f64 z -1/6 -1/2) -1))
(/.f64 (*.f64 y (-.f64 (*.f64 (pow.f64 z 2) (-.f64 (*.f64 -1/6 z) 1/2)) z)) t)
(/.f64 y (/.f64 t (-.f64 (*.f64 (*.f64 z z) (fma.f64 -1/6 z -1/2)) z)))
(*.f64 (/.f64 y t) (-.f64 (*.f64 (*.f64 z z) (fma.f64 z -1/6 -1/2)) z))
(*.f64 (fma.f64 z (*.f64 z (fma.f64 z -1/6 -1/2)) (neg.f64 z)) (/.f64 y t))
(*.f64 y (/.f64 (*.f64 z (fma.f64 z (fma.f64 z -1/6 -1/2) -1)) t))
(*.f64 (*.f64 z (/.f64 y t)) (fma.f64 z (fma.f64 z -1/6 -1/2) -1))
(/.f64 (*.f64 y (-.f64 (*.f64 (pow.f64 z 2) (-.f64 (*.f64 -1/6 z) 1/2)) z)) t)
(/.f64 y (/.f64 t (-.f64 (*.f64 (*.f64 z z) (fma.f64 -1/6 z -1/2)) z)))
(*.f64 (/.f64 y t) (-.f64 (*.f64 (*.f64 z z) (fma.f64 z -1/6 -1/2)) z))
(*.f64 (fma.f64 z (*.f64 z (fma.f64 z -1/6 -1/2)) (neg.f64 z)) (/.f64 y t))
(*.f64 y (/.f64 (*.f64 z (fma.f64 z (fma.f64 z -1/6 -1/2) -1)) t))
(*.f64 (*.f64 z (/.f64 y t)) (fma.f64 z (fma.f64 z -1/6 -1/2) -1))
(/.f64 (*.f64 y (-.f64 (*.f64 (pow.f64 z 2) (-.f64 (*.f64 -1/6 z) 1/2)) z)) t)
(/.f64 y (/.f64 t (-.f64 (*.f64 (*.f64 z z) (fma.f64 -1/6 z -1/2)) z)))
(*.f64 (/.f64 y t) (-.f64 (*.f64 (*.f64 z z) (fma.f64 z -1/6 -1/2)) z))
(*.f64 (fma.f64 z (*.f64 z (fma.f64 z -1/6 -1/2)) (neg.f64 z)) (/.f64 y t))
(*.f64 y (/.f64 (*.f64 z (fma.f64 z (fma.f64 z -1/6 -1/2) -1)) t))
(*.f64 (*.f64 z (/.f64 y t)) (fma.f64 z (fma.f64 z -1/6 -1/2) -1))
(/.f64 (*.f64 y (-.f64 (*.f64 (pow.f64 z 2) (-.f64 (*.f64 -1/6 z) 1/2)) z)) t)
(/.f64 y (/.f64 t (-.f64 (*.f64 (*.f64 z z) (fma.f64 -1/6 z -1/2)) z)))
(*.f64 (/.f64 y t) (-.f64 (*.f64 (*.f64 z z) (fma.f64 z -1/6 -1/2)) z))
(*.f64 (fma.f64 z (*.f64 z (fma.f64 z -1/6 -1/2)) (neg.f64 z)) (/.f64 y t))
(*.f64 y (/.f64 (*.f64 z (fma.f64 z (fma.f64 z -1/6 -1/2) -1)) t))
(*.f64 (*.f64 z (/.f64 y t)) (fma.f64 z (fma.f64 z -1/6 -1/2) -1))
(/.f64 (*.f64 y (-.f64 (*.f64 (pow.f64 z 2) (-.f64 (*.f64 -1/6 z) 1/2)) z)) t)
(/.f64 y (/.f64 t (-.f64 (*.f64 (*.f64 z z) (fma.f64 -1/6 z -1/2)) z)))
(*.f64 (/.f64 y t) (-.f64 (*.f64 (*.f64 z z) (fma.f64 z -1/6 -1/2)) z))
(*.f64 (fma.f64 z (*.f64 z (fma.f64 z -1/6 -1/2)) (neg.f64 z)) (/.f64 y t))
(*.f64 y (/.f64 (*.f64 z (fma.f64 z (fma.f64 z -1/6 -1/2) -1)) t))
(*.f64 (*.f64 z (/.f64 y t)) (fma.f64 z (fma.f64 z -1/6 -1/2) -1))
(/.f64 (*.f64 y (-.f64 (*.f64 (pow.f64 z 2) (-.f64 (*.f64 -1/6 z) 1/2)) z)) t)
(/.f64 y (/.f64 t (-.f64 (*.f64 (*.f64 z z) (fma.f64 -1/6 z -1/2)) z)))
(*.f64 (/.f64 y t) (-.f64 (*.f64 (*.f64 z z) (fma.f64 z -1/6 -1/2)) z))
(*.f64 (fma.f64 z (*.f64 z (fma.f64 z -1/6 -1/2)) (neg.f64 z)) (/.f64 y t))
(*.f64 y (/.f64 (*.f64 z (fma.f64 z (fma.f64 z -1/6 -1/2) -1)) t))
(*.f64 (*.f64 z (/.f64 y t)) (fma.f64 z (fma.f64 z -1/6 -1/2) -1))
(/.f64 (*.f64 y (-.f64 (*.f64 (pow.f64 z 2) (-.f64 (*.f64 -1/6 z) 1/2)) z)) t)
(/.f64 y (/.f64 t (-.f64 (*.f64 (*.f64 z z) (fma.f64 -1/6 z -1/2)) z)))
(*.f64 (/.f64 y t) (-.f64 (*.f64 (*.f64 z z) (fma.f64 z -1/6 -1/2)) z))
(*.f64 (fma.f64 z (*.f64 z (fma.f64 z -1/6 -1/2)) (neg.f64 z)) (/.f64 y t))
(*.f64 y (/.f64 (*.f64 z (fma.f64 z (fma.f64 z -1/6 -1/2) -1)) t))
(*.f64 (*.f64 z (/.f64 y t)) (fma.f64 z (fma.f64 z -1/6 -1/2) -1))
(/.f64 (*.f64 y (-.f64 (*.f64 (pow.f64 z 2) (-.f64 (*.f64 -1/6 z) 1/2)) z)) t)
(/.f64 y (/.f64 t (-.f64 (*.f64 (*.f64 z z) (fma.f64 -1/6 z -1/2)) z)))
(*.f64 (/.f64 y t) (-.f64 (*.f64 (*.f64 z z) (fma.f64 z -1/6 -1/2)) z))
(*.f64 (fma.f64 z (*.f64 z (fma.f64 z -1/6 -1/2)) (neg.f64 z)) (/.f64 y t))
(*.f64 y (/.f64 (*.f64 z (fma.f64 z (fma.f64 z -1/6 -1/2) -1)) t))
(*.f64 (*.f64 z (/.f64 y t)) (fma.f64 z (fma.f64 z -1/6 -1/2) -1))
(/.f64 (*.f64 y (-.f64 (*.f64 (pow.f64 z 2) (-.f64 (*.f64 -1/6 z) 1/2)) z)) t)
(/.f64 y (/.f64 t (-.f64 (*.f64 (*.f64 z z) (fma.f64 -1/6 z -1/2)) z)))
(*.f64 (/.f64 y t) (-.f64 (*.f64 (*.f64 z z) (fma.f64 z -1/6 -1/2)) z))
(*.f64 (fma.f64 z (*.f64 z (fma.f64 z -1/6 -1/2)) (neg.f64 z)) (/.f64 y t))
(*.f64 y (/.f64 (*.f64 z (fma.f64 z (fma.f64 z -1/6 -1/2) -1)) t))
(*.f64 (*.f64 z (/.f64 y t)) (fma.f64 z (fma.f64 z -1/6 -1/2) -1))
(/.f64 (*.f64 y (-.f64 (*.f64 (pow.f64 z 2) (-.f64 (*.f64 -1/6 z) 1/2)) z)) t)
(/.f64 y (/.f64 t (-.f64 (*.f64 (*.f64 z z) (fma.f64 -1/6 z -1/2)) z)))
(*.f64 (/.f64 y t) (-.f64 (*.f64 (*.f64 z z) (fma.f64 z -1/6 -1/2)) z))
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(*.f64 y (/.f64 (*.f64 z (fma.f64 z (fma.f64 z -1/6 -1/2) -1)) t))
(*.f64 (*.f64 z (/.f64 y t)) (fma.f64 z (fma.f64 z -1/6 -1/2) -1))
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(/.f64 y (/.f64 t (-.f64 (*.f64 (*.f64 z z) (fma.f64 -1/6 z -1/2)) z)))
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(*.f64 (fma.f64 z (*.f64 z (fma.f64 z -1/6 -1/2)) (neg.f64 z)) (/.f64 y t))
(*.f64 y (/.f64 (*.f64 z (fma.f64 z (fma.f64 z -1/6 -1/2) -1)) t))
(*.f64 (*.f64 z (/.f64 y t)) (fma.f64 z (fma.f64 z -1/6 -1/2) -1))
(/.f64 (*.f64 y (-.f64 (*.f64 (pow.f64 z 2) (-.f64 (*.f64 -1/6 z) 1/2)) z)) t)
(/.f64 y (/.f64 t (-.f64 (*.f64 (*.f64 z z) (fma.f64 -1/6 z -1/2)) z)))
(*.f64 (/.f64 y t) (-.f64 (*.f64 (*.f64 z z) (fma.f64 z -1/6 -1/2)) z))
(*.f64 (fma.f64 z (*.f64 z (fma.f64 z -1/6 -1/2)) (neg.f64 z)) (/.f64 y t))
(*.f64 y (/.f64 (*.f64 z (fma.f64 z (fma.f64 z -1/6 -1/2) -1)) t))
(*.f64 (*.f64 z (/.f64 y t)) (fma.f64 z (fma.f64 z -1/6 -1/2) -1))
(/.f64 (*.f64 y (-.f64 (*.f64 (pow.f64 z 2) (-.f64 (*.f64 -1/6 z) 1/2)) z)) t)
(/.f64 y (/.f64 t (-.f64 (*.f64 (*.f64 z z) (fma.f64 -1/6 z -1/2)) z)))
(*.f64 (/.f64 y t) (-.f64 (*.f64 (*.f64 z z) (fma.f64 z -1/6 -1/2)) z))
(*.f64 (fma.f64 z (*.f64 z (fma.f64 z -1/6 -1/2)) (neg.f64 z)) (/.f64 y t))
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(*.f64 (*.f64 z (/.f64 y t)) (fma.f64 z (fma.f64 z -1/6 -1/2) -1))
(*.f64 -1 (/.f64 (*.f64 y z) t))
(neg.f64 (/.f64 y (/.f64 t z)))
(/.f64 (*.f64 (neg.f64 z) y) t)
(*.f64 (/.f64 y t) (neg.f64 z))
(/.f64 y (/.f64 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 y (/.f64 t z)) (*.f64 -1/2 (/.f64 y (/.f64 t (*.f64 z z)))))
(-.f64 (*.f64 -1/2 (/.f64 y (/.f64 t (*.f64 z z)))) (*.f64 (/.f64 y t) z))
(-.f64 (/.f64 (*.f64 (*.f64 y z) (*.f64 z -1/2)) t) (/.f64 y (/.f64 t z)))
(*.f64 (/.f64 y t) (fma.f64 (*.f64 z z) -1/2 (neg.f64 z)))
(/.f64 (*.f64 z (-.f64 (*.f64 (*.f64 y z) -1/2) y)) t)
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(*.f64 (fma.f64 z (*.f64 z (fma.f64 z -1/6 -1/2)) (neg.f64 z)) (/.f64 y t))
(*.f64 y (/.f64 (*.f64 z (fma.f64 z (fma.f64 z -1/6 -1/2) -1)) t))
(*.f64 (*.f64 z (/.f64 y t)) (fma.f64 z (fma.f64 z -1/6 -1/2) -1))
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(*.f64 (fma.f64 z (*.f64 z (fma.f64 z -1/6 -1/2)) (neg.f64 z)) (/.f64 y t))
(*.f64 y (/.f64 (*.f64 z (fma.f64 z (fma.f64 z -1/6 -1/2) -1)) t))
(*.f64 (*.f64 z (/.f64 y t)) (fma.f64 z (fma.f64 z -1/6 -1/2) -1))
(*.f64 -1/6 (/.f64 (*.f64 y (pow.f64 z 3)) t))
(*.f64 -1/6 (/.f64 y (/.f64 t (pow.f64 z 3))))
(/.f64 (*.f64 y (pow.f64 z 3)) (/.f64 t -1/6))
(*.f64 -1/6 (*.f64 y (/.f64 (pow.f64 z 3) t)))
(*.f64 -1/6 (*.f64 (pow.f64 z 3) (/.f64 y 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 -1/2 (/.f64 y (/.f64 t (*.f64 z z))) (*.f64 -1/6 (/.f64 y (/.f64 t (pow.f64 z 3)))))
(fma.f64 -1/6 (/.f64 (*.f64 y (pow.f64 z 3)) t) (*.f64 -1/2 (/.f64 y (/.f64 t (*.f64 z z)))))
(fma.f64 -1/6 (*.f64 (pow.f64 z 3) (/.f64 y t)) (/.f64 (*.f64 (*.f64 y z) (*.f64 z -1/2)) t))
(*.f64 z (*.f64 (*.f64 z (fma.f64 z -1/6 -1/2)) (/.f64 y t)))
(*.f64 (fma.f64 z -1/6 -1/2) (*.f64 (*.f64 z z) (/.f64 y 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 y (/.f64 t (-.f64 (*.f64 (*.f64 z z) (fma.f64 -1/6 z -1/2)) z)))
(*.f64 (/.f64 y t) (-.f64 (*.f64 (*.f64 z z) (fma.f64 z -1/6 -1/2)) z))
(*.f64 (fma.f64 z (*.f64 z (fma.f64 z -1/6 -1/2)) (neg.f64 z)) (/.f64 y t))
(*.f64 y (/.f64 (*.f64 z (fma.f64 z (fma.f64 z -1/6 -1/2) -1)) t))
(*.f64 (*.f64 z (/.f64 y t)) (fma.f64 z (fma.f64 z -1/6 -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))))
(/.f64 y (/.f64 t (-.f64 (*.f64 (*.f64 z z) (fma.f64 -1/6 z -1/2)) z)))
(*.f64 (/.f64 y t) (-.f64 (*.f64 (*.f64 z z) (fma.f64 z -1/6 -1/2)) z))
(*.f64 (fma.f64 z (*.f64 z (fma.f64 z -1/6 -1/2)) (neg.f64 z)) (/.f64 y t))
(*.f64 y (/.f64 (*.f64 z (fma.f64 z (fma.f64 z -1/6 -1/2) -1)) t))
(*.f64 (*.f64 z (/.f64 y t)) (fma.f64 z (fma.f64 z -1/6 -1/2) -1))
(*.f64 -1/6 (/.f64 (*.f64 y (pow.f64 z 3)) t))
(*.f64 -1/6 (/.f64 y (/.f64 t (pow.f64 z 3))))
(/.f64 (*.f64 y (pow.f64 z 3)) (/.f64 t -1/6))
(*.f64 -1/6 (*.f64 y (/.f64 (pow.f64 z 3) t)))
(*.f64 -1/6 (*.f64 (pow.f64 z 3) (/.f64 y 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 -1/2 (/.f64 y (/.f64 t (*.f64 z z))) (*.f64 -1/6 (/.f64 y (/.f64 t (pow.f64 z 3)))))
(fma.f64 -1/6 (/.f64 (*.f64 y (pow.f64 z 3)) t) (*.f64 -1/2 (/.f64 y (/.f64 t (*.f64 z z)))))
(fma.f64 -1/6 (*.f64 (pow.f64 z 3) (/.f64 y t)) (/.f64 (*.f64 (*.f64 y z) (*.f64 z -1/2)) t))
(*.f64 z (*.f64 (*.f64 z (fma.f64 z -1/6 -1/2)) (/.f64 y t)))
(*.f64 (fma.f64 z -1/6 -1/2) (*.f64 (*.f64 z z) (/.f64 y 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 y (/.f64 t (-.f64 (*.f64 (*.f64 z z) (fma.f64 -1/6 z -1/2)) z)))
(*.f64 (/.f64 y t) (-.f64 (*.f64 (*.f64 z z) (fma.f64 z -1/6 -1/2)) z))
(*.f64 (fma.f64 z (*.f64 z (fma.f64 z -1/6 -1/2)) (neg.f64 z)) (/.f64 y t))
(*.f64 y (/.f64 (*.f64 z (fma.f64 z (fma.f64 z -1/6 -1/2) -1)) t))
(*.f64 (*.f64 z (/.f64 y t)) (fma.f64 z (fma.f64 z -1/6 -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))))
(/.f64 y (/.f64 t (-.f64 (*.f64 (*.f64 z z) (fma.f64 -1/6 z -1/2)) z)))
(*.f64 (/.f64 y t) (-.f64 (*.f64 (*.f64 z z) (fma.f64 z -1/6 -1/2)) z))
(*.f64 (fma.f64 z (*.f64 z (fma.f64 z -1/6 -1/2)) (neg.f64 z)) (/.f64 y t))
(*.f64 y (/.f64 (*.f64 z (fma.f64 z (fma.f64 z -1/6 -1/2) -1)) t))
(*.f64 (*.f64 z (/.f64 y t)) (fma.f64 z (fma.f64 z -1/6 -1/2) -1))
(*.f64 -1/6 z)
(*.f64 z -1/6)
(*.f64 -1/6 z)
(*.f64 z -1/6)
(*.f64 -1/6 z)
(*.f64 z -1/6)
(*.f64 -1/6 z)
(*.f64 z -1/6)
(*.f64 -1/6 z)
(*.f64 z -1/6)
(*.f64 -1/6 z)
(*.f64 z -1/6)
(*.f64 -1/6 z)
(*.f64 z -1/6)
(*.f64 -1/6 z)
(*.f64 z -1/6)
(*.f64 -1/6 z)
(*.f64 z -1/6)
(*.f64 -1/6 z)
(*.f64 z -1/6)
(*.f64 -1/6 z)
(*.f64 z -1/6)
(*.f64 -1/6 z)
(*.f64 z -1/6)
(*.f64 -1/2 (pow.f64 z 2))
(*.f64 (*.f64 z z) -1/2)
(*.f64 z (*.f64 z -1/2))
(+.f64 (*.f64 -1/2 (pow.f64 z 2)) (*.f64 -1/6 (pow.f64 z 3)))
(fma.f64 -1/2 (*.f64 z z) (*.f64 -1/6 (pow.f64 z 3)))
(*.f64 (*.f64 z z) (fma.f64 z -1/6 -1/2))
(*.f64 z (*.f64 z (fma.f64 z -1/6 -1/2)))
(+.f64 (*.f64 -1/2 (pow.f64 z 2)) (*.f64 -1/6 (pow.f64 z 3)))
(fma.f64 -1/2 (*.f64 z z) (*.f64 -1/6 (pow.f64 z 3)))
(*.f64 (*.f64 z z) (fma.f64 z -1/6 -1/2))
(*.f64 z (*.f64 z (fma.f64 z -1/6 -1/2)))
(+.f64 (*.f64 -1/2 (pow.f64 z 2)) (*.f64 -1/6 (pow.f64 z 3)))
(fma.f64 -1/2 (*.f64 z z) (*.f64 -1/6 (pow.f64 z 3)))
(*.f64 (*.f64 z z) (fma.f64 z -1/6 -1/2))
(*.f64 z (*.f64 z (fma.f64 z -1/6 -1/2)))
(*.f64 -1/6 (pow.f64 z 3))
(+.f64 (*.f64 -1/2 (pow.f64 z 2)) (*.f64 -1/6 (pow.f64 z 3)))
(fma.f64 -1/2 (*.f64 z z) (*.f64 -1/6 (pow.f64 z 3)))
(*.f64 (*.f64 z z) (fma.f64 z -1/6 -1/2))
(*.f64 z (*.f64 z (fma.f64 z -1/6 -1/2)))
(+.f64 (*.f64 -1/2 (pow.f64 z 2)) (*.f64 -1/6 (pow.f64 z 3)))
(fma.f64 -1/2 (*.f64 z z) (*.f64 -1/6 (pow.f64 z 3)))
(*.f64 (*.f64 z z) (fma.f64 z -1/6 -1/2))
(*.f64 z (*.f64 z (fma.f64 z -1/6 -1/2)))
(+.f64 (*.f64 -1/2 (pow.f64 z 2)) (*.f64 -1/6 (pow.f64 z 3)))
(fma.f64 -1/2 (*.f64 z z) (*.f64 -1/6 (pow.f64 z 3)))
(*.f64 (*.f64 z z) (fma.f64 z -1/6 -1/2))
(*.f64 z (*.f64 z (fma.f64 z -1/6 -1/2)))
(*.f64 -1/6 (pow.f64 z 3))
(+.f64 (*.f64 -1/2 (pow.f64 z 2)) (*.f64 -1/6 (pow.f64 z 3)))
(fma.f64 -1/2 (*.f64 z z) (*.f64 -1/6 (pow.f64 z 3)))
(*.f64 (*.f64 z z) (fma.f64 z -1/6 -1/2))
(*.f64 z (*.f64 z (fma.f64 z -1/6 -1/2)))
(+.f64 (*.f64 -1/2 (pow.f64 z 2)) (*.f64 -1/6 (pow.f64 z 3)))
(fma.f64 -1/2 (*.f64 z z) (*.f64 -1/6 (pow.f64 z 3)))
(*.f64 (*.f64 z z) (fma.f64 z -1/6 -1/2))
(*.f64 z (*.f64 z (fma.f64 z -1/6 -1/2)))
(+.f64 (*.f64 -1/2 (pow.f64 z 2)) (*.f64 -1/6 (pow.f64 z 3)))
(fma.f64 -1/2 (*.f64 z z) (*.f64 -1/6 (pow.f64 z 3)))
(*.f64 (*.f64 z z) (fma.f64 z -1/6 -1/2))
(*.f64 z (*.f64 z (fma.f64 z -1/6 -1/2)))
-1/2
(-.f64 (*.f64 -1/6 z) 1/2)
(fma.f64 -1/6 z -1/2)
(fma.f64 z -1/6 -1/2)
(-.f64 (*.f64 -1/6 z) 1/2)
(fma.f64 -1/6 z -1/2)
(fma.f64 z -1/6 -1/2)
(-.f64 (*.f64 -1/6 z) 1/2)
(fma.f64 -1/6 z -1/2)
(fma.f64 z -1/6 -1/2)
(*.f64 -1/6 z)
(*.f64 z -1/6)
(-.f64 (*.f64 -1/6 z) 1/2)
(fma.f64 -1/6 z -1/2)
(fma.f64 z -1/6 -1/2)
(-.f64 (*.f64 -1/6 z) 1/2)
(fma.f64 -1/6 z -1/2)
(fma.f64 z -1/6 -1/2)
(-.f64 (*.f64 -1/6 z) 1/2)
(fma.f64 -1/6 z -1/2)
(fma.f64 z -1/6 -1/2)
(*.f64 -1/6 z)
(*.f64 z -1/6)
(-.f64 (*.f64 -1/6 z) 1/2)
(fma.f64 -1/6 z -1/2)
(fma.f64 z -1/6 -1/2)
(-.f64 (*.f64 -1/6 z) 1/2)
(fma.f64 -1/6 z -1/2)
(fma.f64 z -1/6 -1/2)
(-.f64 (*.f64 -1/6 z) 1/2)
(fma.f64 -1/6 z -1/2)
(fma.f64 z -1/6 -1/2)

localize10.0ms (0%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(*.f64 y (expm1.f64 z))
✓2.9b
(/.f64 (neg.f64 (*.f64 y (expm1.f64 z))) t)
Compiler

Compiled 25 to 8 computations (68% saved)

series4.0ms (0%)

Counts
1 → 36
Calls

9 calls:

TimeVariablePointExpression
1.0ms
y
@0
(/.f64 (neg.f64 (*.f64 y (expm1.f64 z))) t)
1.0ms
z
@inf
(/.f64 (neg.f64 (*.f64 y (expm1.f64 z))) t)
0.0ms
z
@-inf
(/.f64 (neg.f64 (*.f64 y (expm1.f64 z))) t)
0.0ms
t
@0
(/.f64 (neg.f64 (*.f64 y (expm1.f64 z))) t)
0.0ms
z
@0
(/.f64 (neg.f64 (*.f64 y (expm1.f64 z))) t)

rewrite64.0ms (0.3%)

Algorithm
1×batch-egg-rewrite
Rules
811×pow1_binary64
749×add-log-exp_binary64
748×log1p-expm1-u_binary64
748×expm1-log1p-u_binary64
733×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0811
11709
224189
Stop Event
1×node limit
Counts
1 → 50
Calls
Call 1
Inputs
(/.f64 (neg.f64 (*.f64 y (expm1.f64 z))) t)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 y (/.f64 t (expm1.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 y (/.f64 t (expm1.f64 z)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 0 t) (/.f64 y (/.f64 t (expm1.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (*.f64 (neg.f64 (expm1.f64 z)) (/.f64 1 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y (expm1.f64 z)) (/.f64 1 t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y (expm1.f64 z)) (/.f64 1 (neg.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (/.f64 t (expm1.f64 z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 y (/.f64 t (expm1.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 y (/.f64 t (expm1.f64 z)))) (pow.f64 (cbrt.f64 (/.f64 y (/.f64 t (expm1.f64 z)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 y (/.f64 t (expm1.f64 z)))) 2) (cbrt.f64 (/.f64 y (/.f64 t (expm1.f64 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 y (expm1.f64 z))) 2) (*.f64 (cbrt.f64 (*.f64 y (expm1.f64 z))) (/.f64 1 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 y (/.f64 t (expm1.f64 z)))) (sqrt.f64 (/.f64 y (/.f64 t (expm1.f64 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 y (expm1.f64 z))) (*.f64 (sqrt.f64 (*.f64 y (expm1.f64 z))) (/.f64 1 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 t) (*.f64 y (expm1.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 y (/.f64 t (expm1.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 y) (*.f64 (expm1.f64 z) (/.f64 1 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 1) (/.f64 (neg.f64 (expm1.f64 z)) 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 y (pow.f64 (cbrt.f64 t) 2)) (/.f64 (expm1.f64 z) (cbrt.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (pow.f64 (cbrt.f64 t) 2)) (/.f64 (neg.f64 (expm1.f64 z)) (cbrt.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (expm1.f64 z) (pow.f64 (cbrt.f64 t) 2)) (/.f64 y (cbrt.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 t) 2)) (/.f64 (*.f64 y (expm1.f64 z)) (cbrt.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 (sqrt.f64 t)) (/.f64 (neg.f64 (expm1.f64 z)) (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 1 (sqrt.f64 t)) (/.f64 (*.f64 y (expm1.f64 z)) (sqrt.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 y (expm1.f64 z))) 2) 1) (/.f64 (cbrt.f64 (*.f64 y (expm1.f64 z))) t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 y (expm1.f64 z))) 1) (/.f64 (sqrt.f64 (*.f64 y (expm1.f64 z))) t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (neg.f64 y) 1) (/.f64 (expm1.f64 z) t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 y (expm1.f64 z))) 2) (pow.f64 (cbrt.f64 t) 2)) (cbrt.f64 (/.f64 y (/.f64 t (expm1.f64 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 y (expm1.f64 z))) (pow.f64 (cbrt.f64 t) 2)) (/.f64 (sqrt.f64 (*.f64 y (expm1.f64 z))) (cbrt.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (pow.f64 (cbrt.f64 t) 2)) (/.f64 (*.f64 y (expm1.f64 z)) (cbrt.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (neg.f64 y) (pow.f64 (cbrt.f64 t) 2)) (/.f64 (expm1.f64 z) (cbrt.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 y (expm1.f64 z))) 2) (sqrt.f64 t)) (/.f64 (cbrt.f64 (*.f64 y (expm1.f64 z))) (sqrt.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (sqrt.f64 t)) (/.f64 (*.f64 y (expm1.f64 z)) (sqrt.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (neg.f64 y) (sqrt.f64 t)) (/.f64 (expm1.f64 z) (sqrt.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 y (/.f64 t (expm1.f64 z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 y (/.f64 t (expm1.f64 z))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 y (/.f64 t (expm1.f64 z)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 y (/.f64 t (expm1.f64 z)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 t (*.f64 y (expm1.f64 z))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 y (/.f64 t (expm1.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 y (/.f64 t (expm1.f64 z))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 y (/.f64 t (expm1.f64 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 y (/.f64 t (expm1.f64 z))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 y (expm1.f64 z)) 3) (pow.f64 t 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 y (/.f64 t (expm1.f64 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 y (/.f64 t (expm1.f64 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 y (/.f64 t (expm1.f64 z)))))))))

simplify55.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
800×distribute-rgt-out_binary64
708×cancel-sign-sub-inv_binary64
533×fma-neg_binary64
378×associate-*r*_binary64
309×associate-*l*_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
038469
1104466
2259466
3759446
43171430
Stop Event
1×node limit
Counts
86 → 60
Calls
Call 1
Inputs
(*.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 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 -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
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(neg.f64 (/.f64 (*.f64 (expm1.f64 z) y) t))
(/.f64 (neg.f64 (*.f64 (expm1.f64 z) y)) t)
(*.f64 (/.f64 (expm1.f64 z) t) (neg.f64 y))
(*.f64 (neg.f64 y) (/.f64 (expm1.f64 z) t))
(*.f64 (/.f64 y t) (neg.f64 (expm1.f64 z)))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(neg.f64 (/.f64 (*.f64 (expm1.f64 z) y) t))
(/.f64 (neg.f64 (*.f64 (expm1.f64 z) y)) t)
(*.f64 (/.f64 (expm1.f64 z) t) (neg.f64 y))
(*.f64 (neg.f64 y) (/.f64 (expm1.f64 z) t))
(*.f64 (/.f64 y t) (neg.f64 (expm1.f64 z)))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(neg.f64 (/.f64 (*.f64 (expm1.f64 z) y) t))
(/.f64 (neg.f64 (*.f64 (expm1.f64 z) y)) t)
(*.f64 (/.f64 (expm1.f64 z) t) (neg.f64 y))
(*.f64 (neg.f64 y) (/.f64 (expm1.f64 z) t))
(*.f64 (/.f64 y t) (neg.f64 (expm1.f64 z)))
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(neg.f64 (/.f64 (*.f64 (expm1.f64 z) y) t))
(/.f64 (neg.f64 (*.f64 (expm1.f64 z) y)) t)
(*.f64 (/.f64 (expm1.f64 z) t) (neg.f64 y))
(*.f64 (neg.f64 y) (/.f64 (expm1.f64 z) t))
(*.f64 (/.f64 y t) (neg.f64 (expm1.f64 z)))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
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(*.f64 (/.f64 (expm1.f64 z) t) (neg.f64 y))
(*.f64 (neg.f64 y) (/.f64 (expm1.f64 z) t))
(*.f64 (/.f64 y t) (neg.f64 (expm1.f64 z)))
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(/.f64 (neg.f64 (*.f64 (expm1.f64 z) y)) t)
(*.f64 (/.f64 (expm1.f64 z) t) (neg.f64 y))
(*.f64 (neg.f64 y) (/.f64 (expm1.f64 z) t))
(*.f64 (/.f64 y t) (neg.f64 (expm1.f64 z)))
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(/.f64 (neg.f64 y) (/.f64 t z))
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(fma.f64 -1 (/.f64 y (/.f64 t z)) (*.f64 -1/2 (/.f64 y (/.f64 t (*.f64 z z)))))
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(fma.f64 -1 (/.f64 y (/.f64 t z)) (fma.f64 -1/2 (/.f64 y (/.f64 t (*.f64 z z))) (*.f64 -1/6 (/.f64 y (/.f64 t (pow.f64 z 3))))))
(-.f64 (fma.f64 -1/2 (*.f64 (/.f64 y t) (*.f64 z z)) (/.f64 (*.f64 y -1/6) (/.f64 t (pow.f64 z 3)))) (*.f64 (/.f64 y t) z))
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(fma.f64 -1/6 (*.f64 y (/.f64 (pow.f64 z 3) t)) (*.f64 (/.f64 y t) (-.f64 (*.f64 -1/2 (*.f64 z z)) z)))
(*.f64 (/.f64 y t) (-.f64 (*.f64 (*.f64 z z) (+.f64 (*.f64 z -1/6) -1/2)) z))
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(fma.f64 -1 (/.f64 y (/.f64 t z)) (fma.f64 -1/2 (/.f64 y (/.f64 t (*.f64 z z))) (fma.f64 -1/24 (/.f64 (*.f64 y (pow.f64 z 4)) t) (*.f64 -1/6 (/.f64 y (/.f64 t (pow.f64 z 3)))))))
(-.f64 (fma.f64 -1/2 (*.f64 (/.f64 y t) (*.f64 z z)) (fma.f64 -1/24 (/.f64 (*.f64 y (pow.f64 z 4)) t) (/.f64 (*.f64 y -1/6) (/.f64 t (pow.f64 z 3))))) (*.f64 (/.f64 y t) z))
(-.f64 (fma.f64 -1/2 (*.f64 (/.f64 (*.f64 z z) t) y) (fma.f64 -1/6 (*.f64 (/.f64 (pow.f64 z 3) t) y) (*.f64 -1/24 (*.f64 (pow.f64 z 4) (/.f64 y t))))) (*.f64 z (/.f64 y t)))
(+.f64 (*.f64 (/.f64 y t) (-.f64 (*.f64 -1/2 (*.f64 z z)) z)) (*.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 (pow.f64 z 3) (+.f64 -1/6 (*.f64 z -1/24))) (-.f64 z (*.f64 z (*.f64 z -1/2)))))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(neg.f64 (/.f64 (*.f64 (expm1.f64 z) y) t))
(/.f64 (neg.f64 (*.f64 (expm1.f64 z) y)) t)
(*.f64 (/.f64 (expm1.f64 z) t) (neg.f64 y))
(*.f64 (neg.f64 y) (/.f64 (expm1.f64 z) t))
(*.f64 (/.f64 y t) (neg.f64 (expm1.f64 z)))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(neg.f64 (/.f64 (*.f64 (expm1.f64 z) y) t))
(/.f64 (neg.f64 (*.f64 (expm1.f64 z) y)) t)
(*.f64 (/.f64 (expm1.f64 z) t) (neg.f64 y))
(*.f64 (neg.f64 y) (/.f64 (expm1.f64 z) t))
(*.f64 (/.f64 y t) (neg.f64 (expm1.f64 z)))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(neg.f64 (/.f64 (*.f64 (expm1.f64 z) y) t))
(/.f64 (neg.f64 (*.f64 (expm1.f64 z) y)) t)
(*.f64 (/.f64 (expm1.f64 z) t) (neg.f64 y))
(*.f64 (neg.f64 y) (/.f64 (expm1.f64 z) t))
(*.f64 (/.f64 y t) (neg.f64 (expm1.f64 z)))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(neg.f64 (/.f64 (*.f64 (expm1.f64 z) y) t))
(/.f64 (neg.f64 (*.f64 (expm1.f64 z) y)) t)
(*.f64 (/.f64 (expm1.f64 z) t) (neg.f64 y))
(*.f64 (neg.f64 y) (/.f64 (expm1.f64 z) t))
(*.f64 (/.f64 y t) (neg.f64 (expm1.f64 z)))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(neg.f64 (/.f64 (*.f64 (expm1.f64 z) y) t))
(/.f64 (neg.f64 (*.f64 (expm1.f64 z) y)) t)
(*.f64 (/.f64 (expm1.f64 z) t) (neg.f64 y))
(*.f64 (neg.f64 y) (/.f64 (expm1.f64 z) t))
(*.f64 (/.f64 y t) (neg.f64 (expm1.f64 z)))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(neg.f64 (/.f64 (*.f64 (expm1.f64 z) y) t))
(/.f64 (neg.f64 (*.f64 (expm1.f64 z) y)) t)
(*.f64 (/.f64 (expm1.f64 z) t) (neg.f64 y))
(*.f64 (neg.f64 y) (/.f64 (expm1.f64 z) t))
(*.f64 (/.f64 y t) (neg.f64 (expm1.f64 z)))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(neg.f64 (/.f64 (*.f64 (expm1.f64 z) y) t))
(/.f64 (neg.f64 (*.f64 (expm1.f64 z) y)) t)
(*.f64 (/.f64 (expm1.f64 z) t) (neg.f64 y))
(*.f64 (neg.f64 y) (/.f64 (expm1.f64 z) t))
(*.f64 (/.f64 y t) (neg.f64 (expm1.f64 z)))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(neg.f64 (/.f64 (*.f64 (expm1.f64 z) y) t))
(/.f64 (neg.f64 (*.f64 (expm1.f64 z) y)) t)
(*.f64 (/.f64 (expm1.f64 z) t) (neg.f64 y))
(*.f64 (neg.f64 y) (/.f64 (expm1.f64 z) t))
(*.f64 (/.f64 y t) (neg.f64 (expm1.f64 z)))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(neg.f64 (/.f64 (*.f64 (expm1.f64 z) y) t))
(/.f64 (neg.f64 (*.f64 (expm1.f64 z) y)) t)
(*.f64 (/.f64 (expm1.f64 z) t) (neg.f64 y))
(*.f64 (neg.f64 y) (/.f64 (expm1.f64 z) t))
(*.f64 (/.f64 y t) (neg.f64 (expm1.f64 z)))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(neg.f64 (/.f64 (*.f64 (expm1.f64 z) y) t))
(/.f64 (neg.f64 (*.f64 (expm1.f64 z) y)) t)
(*.f64 (/.f64 (expm1.f64 z) t) (neg.f64 y))
(*.f64 (neg.f64 y) (/.f64 (expm1.f64 z) t))
(*.f64 (/.f64 y t) (neg.f64 (expm1.f64 z)))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(neg.f64 (/.f64 (*.f64 (expm1.f64 z) y) t))
(/.f64 (neg.f64 (*.f64 (expm1.f64 z) y)) t)
(*.f64 (/.f64 (expm1.f64 z) t) (neg.f64 y))
(*.f64 (neg.f64 y) (/.f64 (expm1.f64 z) t))
(*.f64 (/.f64 y t) (neg.f64 (expm1.f64 z)))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(neg.f64 (/.f64 (*.f64 (expm1.f64 z) y) t))
(/.f64 (neg.f64 (*.f64 (expm1.f64 z) y)) t)
(*.f64 (/.f64 (expm1.f64 z) t) (neg.f64 y))
(*.f64 (neg.f64 y) (/.f64 (expm1.f64 z) t))
(*.f64 (/.f64 y t) (neg.f64 (expm1.f64 z)))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(neg.f64 (/.f64 (*.f64 (expm1.f64 z) y) t))
(/.f64 (neg.f64 (*.f64 (expm1.f64 z) y)) t)
(*.f64 (/.f64 (expm1.f64 z) t) (neg.f64 y))
(*.f64 (neg.f64 y) (/.f64 (expm1.f64 z) t))
(*.f64 (/.f64 y t) (neg.f64 (expm1.f64 z)))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
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(/.f64 (neg.f64 (*.f64 (expm1.f64 z) y)) t)
(*.f64 (/.f64 (expm1.f64 z) t) (neg.f64 y))
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(*.f64 (/.f64 (expm1.f64 z) t) (neg.f64 y))
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(*.f64 (/.f64 y t) (neg.f64 (expm1.f64 z)))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
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(*.f64 (/.f64 (expm1.f64 z) t) (neg.f64 y))
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(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
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(*.f64 (/.f64 (expm1.f64 z) t) (neg.f64 y))
(*.f64 (neg.f64 y) (/.f64 (expm1.f64 z) t))
(*.f64 (/.f64 y t) (neg.f64 (expm1.f64 z)))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(neg.f64 (/.f64 (*.f64 (expm1.f64 z) y) t))
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(*.f64 (/.f64 (expm1.f64 z) t) (neg.f64 y))
(*.f64 (neg.f64 y) (/.f64 (expm1.f64 z) t))
(*.f64 (/.f64 y t) (neg.f64 (expm1.f64 z)))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(neg.f64 (/.f64 (*.f64 (expm1.f64 z) y) t))
(/.f64 (neg.f64 (*.f64 (expm1.f64 z) y)) t)
(*.f64 (/.f64 (expm1.f64 z) t) (neg.f64 y))
(*.f64 (neg.f64 y) (/.f64 (expm1.f64 z) t))
(*.f64 (/.f64 y t) (neg.f64 (expm1.f64 z)))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(neg.f64 (/.f64 (*.f64 (expm1.f64 z) y) t))
(/.f64 (neg.f64 (*.f64 (expm1.f64 z) y)) t)
(*.f64 (/.f64 (expm1.f64 z) t) (neg.f64 y))
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(*.f64 (/.f64 y t) (neg.f64 (expm1.f64 z)))

eval277.0ms (1.2%)

Compiler

Compiled 15276 to 6464 computations (57.7% saved)

prune257.0ms (1.1%)

Pruning

30 alts after pruning (19 fresh and 11 done)

PrunedKeptTotal
New7173720
Fresh21618
Picked011
Done01010
Total71930749
Error
0.2b
Counts
749 → 30
Alt Table
Click to see full alt table
StatusErrorProgram
1.9b
(pow.f64 (cbrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) 3)
16.1b
(-.f64 x (/.f64 1 (+.f64 (/.f64 t (*.f64 (-.f64 (exp.f64 z) 1) y)) (*.f64 1/2 t))))
✓0.6b
(fma.f64 (/.f64 -1 t) (log1p.f64 (*.f64 y (expm1.f64 z))) x)
✓9.7b
(-.f64 x (/.f64 (*.f64 (expm1.f64 z) y) t))
22.0b
(-.f64 x (/.f64 (*.f64 y (+.f64 z (*.f64 (*.f64 z z) (+.f64 (*.f64 z 1/6) 1/2)))) t))
53.5b
(/.f64 (*.f64 z (-.f64 (*.f64 (*.f64 y z) -1/2) y)) t)
0.6b
(-.f64 x (/.f64 (/.f64 1 t) (/.f64 1 (log1p.f64 (*.f64 y (expm1.f64 z))))))
18.7b
(-.f64 x (/.f64 y (/.f64 t z)))
49.4b
(/.f64 (neg.f64 (exp.f64 (log.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))))) t)
55.8b
(*.f64 (/.f64 y t) (neg.f64 z))
53.6b
(*.f64 y (-.f64 (*.f64 (*.f64 z z) (+.f64 (*.f64 z (+.f64 (/.f64 -1/6 t) (/.f64 -1/24 (/.f64 t z)))) (/.f64 -1/2 t))) (/.f64 z t)))
✓20.5b
(-.f64 x (/.f64 z (/.f64 t y)))
✓62.2b
(/.f64 y (/.f64 t z))
18.2b
(-.f64 x (*.f64 (/.f64 1 t) (/.f64 z (/.f64 1 y))))
✓18.2b
(-.f64 x (*.f64 (/.f64 1 t) (*.f64 z y)))
61.9b
(*.f64 y (-.f64 (/.f64 1 t) (/.f64 1 t)))
✓53.3b
(*.f64 y (/.f64 (neg.f64 z) t))
49.4b
(/.f64 (neg.f64 (log1p.f64 (*.f64 y z))) t)
✓48.1b
(/.f64 (neg.f64 (*.f64 y (expm1.f64 z))) t)
48.2b
(*.f64 (/.f64 (expm1.f64 z) t) (neg.f64 y))
21.8b
x
18.2b
(-.f64 x (/.f64 (*.f64 z y) t))
✓56.2b
(*.f64 (/.f64 y t) (-.f64 (*.f64 (*.f64 z z) (+.f64 (*.f64 z -1/6) -1/2)) z))
18.2b
(-.f64 x (/.f64 1 (/.f64 t (*.f64 z y))))
✓0.6b
(-.f64 x (/.f64 1 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z))))))
53.2b
(/.f64 (*.f64 y z) (neg.f64 t))
✓41.5b
(/.f64 (neg.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) t)
17.6b
(-.f64 x (*.f64 (/.f64 1 t) (log1p.f64 (*.f64 z (+.f64 (*.f64 y (*.f64 1/2 z)) y)))))
62.2b
(/.f64 (*.f64 y z) t)
✓0.5b
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))
Compiler

Compiled 410 to 289 computations (29.5% saved)

regimes346.0ms (1.5%)

Counts
56 → 1
Calls
Call 1
Inputs
x
x
x
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 y (/.f64 t z))
(*.f64 (/.f64 y t) (neg.f64 z))
(/.f64 (*.f64 y z) (neg.f64 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 z (/.f64 t y)))
(-.f64 x (/.f64 y (/.f64 t z)))
(-.f64 x (/.f64 (*.f64 z y) t))
(-.f64 x (*.f64 (/.f64 y t) z))
(-.f64 x (/.f64 (*.f64 z y) t))
(*.f64 y (-.f64 (/.f64 1 t) (/.f64 1 t)))
(-.f64 x (/.f64 1 (/.f64 t (*.f64 z y))))
(-.f64 x (/.f64 1 (/.f64 t (*.f64 y z))))
(-.f64 x (*.f64 (/.f64 1 t) (*.f64 z y)))
(/.f64 (*.f64 z (-.f64 (*.f64 (*.f64 y z) -1/2) y)) t)
(-.f64 x (*.f64 (/.f64 1 t) (/.f64 z (/.f64 1 y))))
(*.f64 y (-.f64 (*.f64 -1/2 (/.f64 z (/.f64 t z))) (/.f64 z t)))
(*.f64 (/.f64 y t) (-.f64 (*.f64 (*.f64 z z) (+.f64 (*.f64 z -1/6) -1/2)) z))
(-.f64 x (/.f64 (*.f64 y (+.f64 z (*.f64 (*.f64 z z) (+.f64 (*.f64 z 1/6) 1/2)))) t))
(*.f64 y (-.f64 (*.f64 (*.f64 z z) (+.f64 (*.f64 z (+.f64 (/.f64 -1/6 t) (/.f64 -1/24 (/.f64 t z)))) (/.f64 -1/2 t))) (/.f64 z t)))
(/.f64 (neg.f64 (log1p.f64 (*.f64 y z))) t)
(/.f64 (neg.f64 (*.f64 y (expm1.f64 z))) t)
(*.f64 (/.f64 (expm1.f64 z) t) (neg.f64 y))
(*.f64 (expm1.f64 z) (/.f64 (neg.f64 y) t))
(-.f64 x (/.f64 (*.f64 (expm1.f64 z) y) t))
(-.f64 x (*.f64 (/.f64 (expm1.f64 z) t) y))
(*.f64 y (-.f64 (/.f64 1 t) (/.f64 (exp.f64 z) t)))
(-.f64 x (*.f64 y (*.f64 (expm1.f64 z) (/.f64 1 t))))
(-.f64 x (/.f64 (log1p.f64 (*.f64 z (+.f64 (*.f64 y (*.f64 1/2 z)) y))) t))
(-.f64 x (/.f64 1 (+.f64 (/.f64 t (*.f64 (-.f64 (exp.f64 z) 1) y)) (*.f64 1/2 t))))
(-.f64 x (*.f64 (/.f64 1 t) (log1p.f64 (*.f64 z (+.f64 (*.f64 y (*.f64 1/2 z)) y)))))
(/.f64 (neg.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) t)
(/.f64 (neg.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) t)
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))
(-.f64 x (/.f64 1 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z))))))
(-.f64 x (*.f64 (/.f64 1 t) (log1p.f64 (*.f64 y (expm1.f64 z)))))
(-.f64 x (/.f64 (/.f64 1 t) (/.f64 1 (log1p.f64 (*.f64 y (expm1.f64 z))))))
(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 1 y) (*.f64 y (exp.f64 z)))) t))
(-.f64 x (pow.f64 (+.f64 (/.f64 t (*.f64 (-.f64 (exp.f64 z) 1) y)) (*.f64 1/2 t)) -1))
(fma.f64 (/.f64 -1 t) (log1p.f64 (*.f64 y (expm1.f64 z))) x)
(-.f64 x (pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) -1))
(fma.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (/.f64 1 t) x)
(-.f64 x (/.f64 (log1p.f64 (fma.f64 y (*.f64 z (*.f64 z 1/2)) (*.f64 y (+.f64 z (*.f64 1/6 (pow.f64 z 3)))))) t))
(/.f64 (neg.f64 (exp.f64 (log.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))))) t)
(-.f64 x (/.f64 (exp.f64 (log.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) t))
(pow.f64 (cbrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) 3)
(pow.f64 (cbrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) 3)
(-.f64 x (/.f64 (log1p.f64 (+.f64 (*.f64 y z) (+.f64 (*.f64 1/2 (*.f64 y (pow.f64 z 2))) (+.f64 (*.f64 1/24 (*.f64 y (pow.f64 z 4))) (*.f64 1/6 (*.f64 y (pow.f64 z 3))))))) t))
(-.f64 x (*.f64 (pow.f64 (cbrt.f64 t) -2) (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (cbrt.f64 t))))
(-.f64 x (+.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))))))
Outputs
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))
Calls

13 calls:

92.0ms
t
36.0ms
(+.f64 (-.f64 1 y) (*.f64 y (exp.f64 z)))
35.0ms
(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 1 y) (*.f64 y (exp.f64 z)))) t))
29.0ms
z
29.0ms
y
Results
ErrorSegmentsBranch
0.5b1x
0.5b1y
0.5b1z
0.5b1t
0.5b1(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 1 y) (*.f64 y (exp.f64 z)))) t))
0.5b1(/.f64 (log.f64 (+.f64 (-.f64 1 y) (*.f64 y (exp.f64 z)))) t)
0.5b1(/.f64 (log.f64 (+.f64 (-.f64 1 y) (*.f64 y (exp.f64 z)))) t)
0.5b1(log.f64 (+.f64 (-.f64 1 y) (*.f64 y (exp.f64 z))))
0.5b1(log.f64 (+.f64 (-.f64 1 y) (*.f64 y (exp.f64 z))))
0.5b1(+.f64 (-.f64 1 y) (*.f64 y (exp.f64 z)))
0.5b1(+.f64 (-.f64 1 y) (*.f64 y (exp.f64 z)))
0.5b1(exp.f64 z)
0.5b1(exp.f64 z)
Compiler

Compiled 769 to 400 computations (48% saved)

regimes317.0ms (1.4%)

Counts
39 → 2
Calls
Call 1
Inputs
x
x
x
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 y (/.f64 t z))
(*.f64 (/.f64 y t) (neg.f64 z))
(/.f64 (*.f64 y z) (neg.f64 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 z (/.f64 t y)))
(-.f64 x (/.f64 y (/.f64 t z)))
(-.f64 x (/.f64 (*.f64 z y) t))
(-.f64 x (*.f64 (/.f64 y t) z))
(-.f64 x (/.f64 (*.f64 z y) t))
(*.f64 y (-.f64 (/.f64 1 t) (/.f64 1 t)))
(-.f64 x (/.f64 1 (/.f64 t (*.f64 z y))))
(-.f64 x (/.f64 1 (/.f64 t (*.f64 y z))))
(-.f64 x (*.f64 (/.f64 1 t) (*.f64 z y)))
(/.f64 (*.f64 z (-.f64 (*.f64 (*.f64 y z) -1/2) y)) t)
(-.f64 x (*.f64 (/.f64 1 t) (/.f64 z (/.f64 1 y))))
(*.f64 y (-.f64 (*.f64 -1/2 (/.f64 z (/.f64 t z))) (/.f64 z t)))
(*.f64 (/.f64 y t) (-.f64 (*.f64 (*.f64 z z) (+.f64 (*.f64 z -1/6) -1/2)) z))
(-.f64 x (/.f64 (*.f64 y (+.f64 z (*.f64 (*.f64 z z) (+.f64 (*.f64 z 1/6) 1/2)))) t))
(*.f64 y (-.f64 (*.f64 (*.f64 z z) (+.f64 (*.f64 z (+.f64 (/.f64 -1/6 t) (/.f64 -1/24 (/.f64 t z)))) (/.f64 -1/2 t))) (/.f64 z t)))
(/.f64 (neg.f64 (log1p.f64 (*.f64 y z))) t)
(/.f64 (neg.f64 (*.f64 y (expm1.f64 z))) t)
(*.f64 (/.f64 (expm1.f64 z) t) (neg.f64 y))
(*.f64 (expm1.f64 z) (/.f64 (neg.f64 y) t))
(-.f64 x (/.f64 (*.f64 (expm1.f64 z) y) t))
(-.f64 x (*.f64 (/.f64 (expm1.f64 z) t) y))
(*.f64 y (-.f64 (/.f64 1 t) (/.f64 (exp.f64 z) t)))
(-.f64 x (*.f64 y (*.f64 (expm1.f64 z) (/.f64 1 t))))
(-.f64 x (/.f64 (log1p.f64 (*.f64 z (+.f64 (*.f64 y (*.f64 1/2 z)) y))) t))
(-.f64 x (/.f64 1 (+.f64 (/.f64 t (*.f64 (-.f64 (exp.f64 z) 1) y)) (*.f64 1/2 t))))
(-.f64 x (*.f64 (/.f64 1 t) (log1p.f64 (*.f64 z (+.f64 (*.f64 y (*.f64 1/2 z)) y)))))
(/.f64 (neg.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) t)
(/.f64 (neg.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) t)
Outputs
(-.f64 x (/.f64 1 (+.f64 (/.f64 t (*.f64 (-.f64 (exp.f64 z) 1) y)) (*.f64 1/2 t))))
(-.f64 x (/.f64 (log1p.f64 (*.f64 z (+.f64 (*.f64 y (*.f64 1/2 z)) y))) t))
Calls

6 calls:

102.0ms
z
85.0ms
t
69.0ms
y
34.0ms
x
6.0ms
(exp.f64 z)
Results
ErrorSegmentsBranch
9.7b1x
5.2b3y
3.6b2z
8.5b3t
3.6b2(exp.f64 z)
3.6b2(exp.f64 z)
Compiler

Compiled 375 to 174 computations (53.6% saved)

bsearch0.0ms (0%)

Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
0.0
0.015525689883627824
Compiler

Compiled 24 to 18 computations (25% saved)

regimes158.0ms (0.7%)

Counts
35 → 2
Calls
Call 1
Inputs
x
x
x
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 y (/.f64 t z))
(*.f64 (/.f64 y t) (neg.f64 z))
(/.f64 (*.f64 y z) (neg.f64 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 z (/.f64 t y)))
(-.f64 x (/.f64 y (/.f64 t z)))
(-.f64 x (/.f64 (*.f64 z y) t))
(-.f64 x (*.f64 (/.f64 y t) z))
(-.f64 x (/.f64 (*.f64 z y) t))
(*.f64 y (-.f64 (/.f64 1 t) (/.f64 1 t)))
(-.f64 x (/.f64 1 (/.f64 t (*.f64 z y))))
(-.f64 x (/.f64 1 (/.f64 t (*.f64 y z))))
(-.f64 x (*.f64 (/.f64 1 t) (*.f64 z y)))
(/.f64 (*.f64 z (-.f64 (*.f64 (*.f64 y z) -1/2) y)) t)
(-.f64 x (*.f64 (/.f64 1 t) (/.f64 z (/.f64 1 y))))
(*.f64 y (-.f64 (*.f64 -1/2 (/.f64 z (/.f64 t z))) (/.f64 z t)))
(*.f64 (/.f64 y t) (-.f64 (*.f64 (*.f64 z z) (+.f64 (*.f64 z -1/6) -1/2)) z))
(-.f64 x (/.f64 (*.f64 y (+.f64 z (*.f64 (*.f64 z z) (+.f64 (*.f64 z 1/6) 1/2)))) t))
(*.f64 y (-.f64 (*.f64 (*.f64 z z) (+.f64 (*.f64 z (+.f64 (/.f64 -1/6 t) (/.f64 -1/24 (/.f64 t z)))) (/.f64 -1/2 t))) (/.f64 z t)))
(/.f64 (neg.f64 (log1p.f64 (*.f64 y z))) t)
(/.f64 (neg.f64 (*.f64 y (expm1.f64 z))) t)
(*.f64 (/.f64 (expm1.f64 z) t) (neg.f64 y))
(*.f64 (expm1.f64 z) (/.f64 (neg.f64 y) t))
(-.f64 x (/.f64 (*.f64 (expm1.f64 z) y) t))
(-.f64 x (*.f64 (/.f64 (expm1.f64 z) t) y))
(*.f64 y (-.f64 (/.f64 1 t) (/.f64 (exp.f64 z) t)))
(-.f64 x (*.f64 y (*.f64 (expm1.f64 z) (/.f64 1 t))))
(-.f64 x (/.f64 (log1p.f64 (*.f64 z (+.f64 (*.f64 y (*.f64 1/2 z)) y))) t))
Outputs
(-.f64 x (/.f64 (*.f64 (expm1.f64 z) y) t))
(-.f64 x (/.f64 (log1p.f64 (*.f64 z (+.f64 (*.f64 y (*.f64 1/2 z)) y))) t))
Calls

6 calls:

70.0ms
y
31.0ms
z
17.0ms
t
17.0ms
x
6.0ms
(exp.f64 z)
Results
ErrorSegmentsBranch
9.7b1x
5.2b3y
5.1b2z
9.7b1t
5.1b2(exp.f64 z)
5.1b2(exp.f64 z)
Compiler

Compiled 327 to 151 computations (53.8% saved)

bsearch0.0ms (0%)

Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
0.0
0.015525689883627824
Compiler

Compiled 24 to 18 computations (25% saved)

regimes168.0ms (0.8%)

Counts
34 → 1
Calls
Call 1
Inputs
x
x
x
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 y (/.f64 t z))
(*.f64 (/.f64 y t) (neg.f64 z))
(/.f64 (*.f64 y z) (neg.f64 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 z (/.f64 t y)))
(-.f64 x (/.f64 y (/.f64 t z)))
(-.f64 x (/.f64 (*.f64 z y) t))
(-.f64 x (*.f64 (/.f64 y t) z))
(-.f64 x (/.f64 (*.f64 z y) t))
(*.f64 y (-.f64 (/.f64 1 t) (/.f64 1 t)))
(-.f64 x (/.f64 1 (/.f64 t (*.f64 z y))))
(-.f64 x (/.f64 1 (/.f64 t (*.f64 y z))))
(-.f64 x (*.f64 (/.f64 1 t) (*.f64 z y)))
(/.f64 (*.f64 z (-.f64 (*.f64 (*.f64 y z) -1/2) y)) t)
(-.f64 x (*.f64 (/.f64 1 t) (/.f64 z (/.f64 1 y))))
(*.f64 y (-.f64 (*.f64 -1/2 (/.f64 z (/.f64 t z))) (/.f64 z t)))
(*.f64 (/.f64 y t) (-.f64 (*.f64 (*.f64 z z) (+.f64 (*.f64 z -1/6) -1/2)) z))
(-.f64 x (/.f64 (*.f64 y (+.f64 z (*.f64 (*.f64 z z) (+.f64 (*.f64 z 1/6) 1/2)))) t))
(*.f64 y (-.f64 (*.f64 (*.f64 z z) (+.f64 (*.f64 z (+.f64 (/.f64 -1/6 t) (/.f64 -1/24 (/.f64 t z)))) (/.f64 -1/2 t))) (/.f64 z t)))
(/.f64 (neg.f64 (log1p.f64 (*.f64 y z))) t)
(/.f64 (neg.f64 (*.f64 y (expm1.f64 z))) t)
(*.f64 (/.f64 (expm1.f64 z) t) (neg.f64 y))
(*.f64 (expm1.f64 z) (/.f64 (neg.f64 y) t))
(-.f64 x (/.f64 (*.f64 (expm1.f64 z) y) t))
(-.f64 x (*.f64 (/.f64 (expm1.f64 z) t) y))
(*.f64 y (-.f64 (/.f64 1 t) (/.f64 (exp.f64 z) t)))
(-.f64 x (*.f64 y (*.f64 (expm1.f64 z) (/.f64 1 t))))
Outputs
(-.f64 x (/.f64 (*.f64 (expm1.f64 z) y) t))
Calls

6 calls:

36.0ms
y
35.0ms
(exp.f64 z)
31.0ms
z
30.0ms
x
23.0ms
t
Results
ErrorSegmentsBranch
9.7b1x
9.7b1y
9.7b1z
9.7b1t
9.7b1(exp.f64 z)
9.7b1(exp.f64 z)
Compiler

Compiled 313 to 143 computations (54.3% saved)

regimes237.0ms (1.1%)

Counts
30 → 2
Calls
Call 1
Inputs
x
x
x
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 y (/.f64 t z))
(*.f64 (/.f64 y t) (neg.f64 z))
(/.f64 (*.f64 y z) (neg.f64 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 z (/.f64 t y)))
(-.f64 x (/.f64 y (/.f64 t z)))
(-.f64 x (/.f64 (*.f64 z y) t))
(-.f64 x (*.f64 (/.f64 y t) z))
(-.f64 x (/.f64 (*.f64 z y) t))
(*.f64 y (-.f64 (/.f64 1 t) (/.f64 1 t)))
(-.f64 x (/.f64 1 (/.f64 t (*.f64 z y))))
(-.f64 x (/.f64 1 (/.f64 t (*.f64 y z))))
(-.f64 x (*.f64 (/.f64 1 t) (*.f64 z y)))
(/.f64 (*.f64 z (-.f64 (*.f64 (*.f64 y z) -1/2) y)) t)
(-.f64 x (*.f64 (/.f64 1 t) (/.f64 z (/.f64 1 y))))
(*.f64 y (-.f64 (*.f64 -1/2 (/.f64 z (/.f64 t z))) (/.f64 z t)))
(*.f64 (/.f64 y t) (-.f64 (*.f64 (*.f64 z z) (+.f64 (*.f64 z -1/6) -1/2)) z))
(-.f64 x (/.f64 (*.f64 y (+.f64 z (*.f64 (*.f64 z z) (+.f64 (*.f64 z 1/6) 1/2)))) t))
(*.f64 y (-.f64 (*.f64 (*.f64 z z) (+.f64 (*.f64 z (+.f64 (/.f64 -1/6 t) (/.f64 -1/24 (/.f64 t z)))) (/.f64 -1/2 t))) (/.f64 z t)))
(/.f64 (neg.f64 (log1p.f64 (*.f64 y z))) t)
(/.f64 (neg.f64 (*.f64 y (expm1.f64 z))) t)
(*.f64 (/.f64 (expm1.f64 z) t) (neg.f64 y))
(*.f64 (expm1.f64 z) (/.f64 (neg.f64 y) t))
Outputs
x
(-.f64 x (/.f64 (*.f64 y (+.f64 z (*.f64 (*.f64 z z) (+.f64 (*.f64 z 1/6) 1/2)))) t))
Calls

4 calls:

62.0ms
y
60.0ms
z
56.0ms
x
50.0ms
t
Results
ErrorSegmentsBranch
16.6b2x
16.8b3y
13.5b2z
15.9b3t
Compiler

Compiled 265 to 117 computations (55.8% saved)

bsearch386.0ms (1.7%)

Algorithm
1×binary-search
Steps
TimeLeftRight
386.0ms
-2.6754959871787626e-51
-2.889581797948782e-53
Compiler

Compiled 220 to 158 computations (28.2% saved)

regimes296.0ms (1.3%)

Counts
24 → 2
Calls
Call 1
Inputs
x
x
x
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 y (/.f64 t z))
(*.f64 (/.f64 y t) (neg.f64 z))
(/.f64 (*.f64 y z) (neg.f64 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 z (/.f64 t y)))
(-.f64 x (/.f64 y (/.f64 t z)))
(-.f64 x (/.f64 (*.f64 z y) t))
(-.f64 x (*.f64 (/.f64 y t) z))
(-.f64 x (/.f64 (*.f64 z y) t))
(*.f64 y (-.f64 (/.f64 1 t) (/.f64 1 t)))
(-.f64 x (/.f64 1 (/.f64 t (*.f64 z y))))
(-.f64 x (/.f64 1 (/.f64 t (*.f64 y z))))
(-.f64 x (*.f64 (/.f64 1 t) (*.f64 z y)))
(/.f64 (*.f64 z (-.f64 (*.f64 (*.f64 y z) -1/2) y)) t)
(-.f64 x (*.f64 (/.f64 1 t) (/.f64 z (/.f64 1 y))))
(*.f64 y (-.f64 (*.f64 -1/2 (/.f64 z (/.f64 t z))) (/.f64 z t)))
(*.f64 (/.f64 y t) (-.f64 (*.f64 (*.f64 z z) (+.f64 (*.f64 z -1/6) -1/2)) z))
Outputs
x
(-.f64 x (/.f64 (*.f64 z y) t))
Calls

4 calls:

102.0ms
y
81.0ms
t
60.0ms
x
45.0ms
z
Results
ErrorSegmentsBranch
16.6b2x
16.9b3y
13.5b2z
15.9b3t
Compiler

Compiled 195 to 84 computations (56.9% saved)

bsearch891.0ms (4%)

Algorithm
1×binary-search
Steps
TimeLeftRight
891.0ms
-2.6754959871787626e-51
-2.889581797948782e-53
Compiler

Compiled 150 to 109 computations (27.3% saved)

regimes323.0ms (1.4%)

Counts
13 → 2
Calls
Call 1
Inputs
x
x
x
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 y (/.f64 t z))
(*.f64 (/.f64 y t) (neg.f64 z))
(/.f64 (*.f64 y z) (neg.f64 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 z (/.f64 t y)))
(-.f64 x (/.f64 y (/.f64 t z)))
Outputs
x
(-.f64 x (/.f64 y (/.f64 t z)))
Calls

4 calls:

163.0ms
t
61.0ms
y
47.0ms
x
46.0ms
z
Results
ErrorSegmentsBranch
17.0b2x
17.2b3y
13.7b2z
16.1b3t
Compiler

Compiled 88 to 35 computations (60.2% saved)

bsearch390.0ms (1.7%)

Algorithm
1×binary-search
Steps
TimeLeftRight
390.0ms
-2.6754959871787626e-51
-2.889581797948782e-53
Compiler

Compiled 150 to 109 computations (27.3% saved)

regimes100.0ms (0.4%)

Counts
9 → 3
Calls
Call 1
Inputs
x
x
x
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 y (/.f64 t z))
(*.f64 (/.f64 y t) (neg.f64 z))
(/.f64 (*.f64 y z) (neg.f64 t))
(*.f64 y (/.f64 (neg.f64 z) t))
Outputs
x
(*.f64 y (/.f64 (neg.f64 z) t))
x
Calls

4 calls:

54.0ms
y
28.0ms
x
9.0ms
t
6.0ms
z
Results
ErrorSegmentsBranch
20.5b3x
20.8b3y
21.8b1z
21.8b1t
Compiler

Compiled 60 to 31 computations (48.3% saved)

bsearch841.0ms (3.8%)

Algorithm
2×binary-search
Steps
TimeLeftRight
570.0ms
2.7141528527748893e-291
2.871485357600565e-290
271.0ms
-1.2863837548358796e-226
-7.293517193733133e-237
Compiler

Compiled 24 to 18 computations (25% saved)

regimes101.0ms (0.4%)

Counts
8 → 3
Calls
Call 1
Inputs
x
x
x
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 y (/.f64 t z))
(*.f64 (/.f64 y t) (neg.f64 z))
(/.f64 (*.f64 y z) (neg.f64 t))
Outputs
x
(*.f64 (/.f64 y t) (neg.f64 z))
x
Calls

4 calls:

41.0ms
y
33.0ms
x
12.0ms
z
11.0ms
t
Results
ErrorSegmentsBranch
20.6b3x
20.8b3y
21.8b1z
21.8b1t
Compiler

Compiled 54 to 29 computations (46.3% saved)

bsearch547.0ms (2.4%)

Algorithm
2×binary-search
Steps
TimeLeftRight
280.0ms
1.5156464418640165e-250
3.3528441954498196e-240
266.0ms
-1.2863837548358796e-226
-7.293517193733133e-237
Compiler

Compiled 24 to 18 computations (25% saved)

regimes181.0ms (0.8%)

Accuracy

Total -40.5b remaining (-185.3%)

Threshold costs -40.5b (-185.3%)

Counts
6 → 1
Calls
Call 1
Inputs
x
x
x
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 y (/.f64 t z))
Outputs
x
Calls

4 calls:

144.0ms
t
14.0ms
z
11.0ms
x
10.0ms
y
Results
ErrorSegmentsBranch
21.8b1x
21.8b1y
21.8b1z
21.8b1t
Compiler

Compiled 42 to 24 computations (42.9% saved)

simplify50.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
38×*-commutative_binary64
36×+-commutative_binary64
32×sub-neg_binary64
25×neg-sub0_binary64
25×neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
070233
1110233
2159233
3214233
4246233
5268233
6283233
7297233
8301233
9302233
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))
(if (<=.f64 (exp.f64 z) 0) (-.f64 x (/.f64 1 (+.f64 (/.f64 t (*.f64 (-.f64 (exp.f64 z) 1) y)) (*.f64 1/2 t)))) (-.f64 x (/.f64 (log1p.f64 (*.f64 z (+.f64 (*.f64 y (*.f64 1/2 z)) y))) t)))
(if (<=.f64 (exp.f64 z) 0) (-.f64 x (/.f64 (*.f64 (expm1.f64 z) y) t)) (-.f64 x (/.f64 (log1p.f64 (*.f64 z (+.f64 (*.f64 y (*.f64 1/2 z)) y))) t)))
(-.f64 x (/.f64 (*.f64 (expm1.f64 z) y) t))
(if (<=.f64 z -1563676906694737/53919893334301279589334030174039261347274288845081144962207220498432) x (-.f64 x (/.f64 (*.f64 y (+.f64 z (*.f64 (*.f64 z z) (+.f64 (*.f64 z 1/6) 1/2)))) t)))
(if (<=.f64 z -1563676906694737/53919893334301279589334030174039261347274288845081144962207220498432) x (-.f64 x (/.f64 (*.f64 z y) t)))
(if (<=.f64 z -1563676906694737/53919893334301279589334030174039261347274288845081144962207220498432) x (-.f64 x (/.f64 y (/.f64 t z))))
(if (<=.f64 x -1715525088693565/13336028865759708548159703581442515594289516644631816320792515623528074475635264143042864401743108581485859821186866480891777603308238730160726712104661660092190315159028029116926156571823628049457930032271773203963381496074952922582327754752) x (if (<=.f64 x 7623771797500607/2808895523222368605827039360607851146278089029597354019897345018089573059460952548948569958162617750330001779372990521213418590137725259726450741103741783193402623334763523207442222181269470220616454421126328215138096104411600982523029892352200425580677351729446660909999175717788745567263052442650378502144) (*.f64 y (/.f64 (neg.f64 z) t)) x))
(if (<=.f64 x -1715525088693565/13336028865759708548159703581442515594289516644631816320792515623528074475635264143042864401743108581485859821186866480891777603308238730160726712104661660092190315159028029116926156571823628049457930032271773203963381496074952922582327754752) x (if (<=.f64 x 4887132118969665/32244539253885818258809801325470984284597615114509370247067914369303827060346976286280350090799388909587060241287666545341940158661052584060701841947200901910912273193298650156782929545680324771302748590589061792245363054977512313161523248215761503691988438775496704) (*.f64 (/.f64 y t) (neg.f64 z)) x))
x
Outputs
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))
(if (<=.f64 (exp.f64 z) 0) (-.f64 x (/.f64 1 (+.f64 (/.f64 t (*.f64 (-.f64 (exp.f64 z) 1) y)) (*.f64 1/2 t)))) (-.f64 x (/.f64 (log1p.f64 (*.f64 z (+.f64 (*.f64 y (*.f64 1/2 z)) y))) t)))
(if (<=.f64 (exp.f64 z) 0) (-.f64 x (/.f64 1 (+.f64 (/.f64 t (*.f64 y (+.f64 (exp.f64 z) -1))) (*.f64 t 1/2)))) (-.f64 x (/.f64 (log1p.f64 (*.f64 z (+.f64 y (*.f64 y (*.f64 z 1/2))))) t)))
(if (<=.f64 (exp.f64 z) 0) (+.f64 x (/.f64 -1 (+.f64 (/.f64 t (*.f64 y (+.f64 (exp.f64 z) -1))) (*.f64 t 1/2)))) (-.f64 x (/.f64 (log1p.f64 (*.f64 z (+.f64 y (*.f64 y (*.f64 z 1/2))))) t)))
(if (<=.f64 (exp.f64 z) 0) (-.f64 x (/.f64 (*.f64 (expm1.f64 z) y) t)) (-.f64 x (/.f64 (log1p.f64 (*.f64 z (+.f64 (*.f64 y (*.f64 1/2 z)) y))) t)))
(if (<=.f64 (exp.f64 z) 0) (-.f64 x (/.f64 (*.f64 y (expm1.f64 z)) t)) (-.f64 x (/.f64 (log1p.f64 (*.f64 z (+.f64 y (*.f64 y (*.f64 z 1/2))))) t)))
(-.f64 x (/.f64 (*.f64 (expm1.f64 z) y) t))
(-.f64 x (/.f64 (*.f64 y (expm1.f64 z)) t))
(if (<=.f64 z -1563676906694737/53919893334301279589334030174039261347274288845081144962207220498432) x (-.f64 x (/.f64 (*.f64 y (+.f64 z (*.f64 (*.f64 z z) (+.f64 (*.f64 z 1/6) 1/2)))) t)))
(if (<=.f64 z -1563676906694737/53919893334301279589334030174039261347274288845081144962207220498432) x (-.f64 x (/.f64 (*.f64 y (+.f64 z (*.f64 (*.f64 z z) (+.f64 1/2 (*.f64 z 1/6))))) t)))
(if (<=.f64 z -1563676906694737/53919893334301279589334030174039261347274288845081144962207220498432) x (-.f64 x (/.f64 (*.f64 z y) t)))
(if (<=.f64 z -1563676906694737/53919893334301279589334030174039261347274288845081144962207220498432) x (-.f64 x (/.f64 (*.f64 y z) t)))
(if (<=.f64 z -1563676906694737/53919893334301279589334030174039261347274288845081144962207220498432) x (-.f64 x (/.f64 y (/.f64 t z))))
(if (<=.f64 x -1715525088693565/13336028865759708548159703581442515594289516644631816320792515623528074475635264143042864401743108581485859821186866480891777603308238730160726712104661660092190315159028029116926156571823628049457930032271773203963381496074952922582327754752) x (if (<=.f64 x 7623771797500607/2808895523222368605827039360607851146278089029597354019897345018089573059460952548948569958162617750330001779372990521213418590137725259726450741103741783193402623334763523207442222181269470220616454421126328215138096104411600982523029892352200425580677351729446660909999175717788745567263052442650378502144) (*.f64 y (/.f64 (neg.f64 z) t)) x))
(if (<=.f64 x -1715525088693565/13336028865759708548159703581442515594289516644631816320792515623528074475635264143042864401743108581485859821186866480891777603308238730160726712104661660092190315159028029116926156571823628049457930032271773203963381496074952922582327754752) x (if (<=.f64 x 4887132118969665/32244539253885818258809801325470984284597615114509370247067914369303827060346976286280350090799388909587060241287666545341940158661052584060701841947200901910912273193298650156782929545680324771302748590589061792245363054977512313161523248215761503691988438775496704) (*.f64 (/.f64 y t) (neg.f64 z)) x))
(if (<=.f64 x -1715525088693565/13336028865759708548159703581442515594289516644631816320792515623528074475635264143042864401743108581485859821186866480891777603308238730160726712104661660092190315159028029116926156571823628049457930032271773203963381496074952922582327754752) x (if (<=.f64 x 4887132118969665/32244539253885818258809801325470984284597615114509370247067914369303827060346976286280350090799388909587060241287666545341940158661052584060701841947200901910912273193298650156782929545680324771302748590589061792245363054977512313161523248215761503691988438775496704) (*.f64 (neg.f64 z) (/.f64 y t)) x))
(if (<=.f64 x -1715525088693565/13336028865759708548159703581442515594289516644631816320792515623528074475635264143042864401743108581485859821186866480891777603308238730160726712104661660092190315159028029116926156571823628049457930032271773203963381496074952922582327754752) x (if (<=.f64 x 4887132118969665/32244539253885818258809801325470984284597615114509370247067914369303827060346976286280350090799388909587060241287666545341940158661052584060701841947200901910912273193298650156782929545680324771302748590589061792245363054977512313161523248215761503691988438775496704) (*.f64 z (/.f64 (neg.f64 y) t)) x))
x
Compiler

Compiled 198 to 130 computations (34.3% saved)

soundness323.0ms (1.4%)

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)

end370.0ms (1.6%)

Compiler

Compiled 162 to 87 computations (46.3% saved)

Profiling

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