Details

Time bar (total: 22.8s)

analyze612.0ms (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)

sample10.5s (46.1%)

Results
3.7s1613×body8192exit
2.3s1862×body1024valid
2.2s4636×body256valid
827.0ms299×body2048valid
800.0ms1459×body512valid
453.0ms2003×body256invalid
145.0ms206×body1024invalid
106.0ms259×body512invalid

preprocess182.0ms (0.8%)

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)

simplify195.0ms (0.9%)

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)))
✓3.1b
(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)
Compiler

Compiled 35 to 9 computations (74.3% saved)

series107.0ms (0.5%)

Counts
4 → 132
Calls

33 calls:

TimeVariablePointExpression
33.0ms
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
@inf
(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)
14.0ms
t
@0
(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)
2.0ms
x
@0
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))

rewrite162.0ms (0.7%)

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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simplify148.0ms (0.6%)

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))

eval143.0ms (0.6%)

Compiler

Compiled 9896 to 3499 computations (64.6% saved)

prune81.0ms (0.4%)

Pruning

13 alts after pruning (12 fresh and 1 done)

PrunedKeptTotal
New32912341
Fresh000
Picked011
Done000
Total32913342
Error
0.3b
Counts
342 → 13
Alt Table
Click to see full alt table
StatusErrorProgram
14.5b
(-.f64 x (/.f64 (*.f64 z y) t))
47.3b
(/.f64 (neg.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) t)
▶0.6b
(-.f64 x (pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) -1))
▶17.0b
(-.f64 x (*.f64 (/.f64 y t) z))
6.5b
(-.f64 x (/.f64 (*.f64 (expm1.f64 z) y) t))
0.6b
(fma.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (/.f64 1 t) x)
47.8b
(-.f64 x (/.f64 (-.f64 (log.f64 (neg.f64 (expm1.f64 z))) (log.f64 (/.f64 -1 y))) t))
▶6.5b
(-.f64 x (*.f64 (/.f64 (expm1.f64 z) t) y))
✓0.5b
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))
▶0.6b
(-.f64 x (*.f64 (/.f64 1 t) (log1p.f64 (*.f64 y (expm1.f64 z)))))
▶15.0b
(-.f64 x (/.f64 (log1p.f64 (*.f64 z (+.f64 (*.f64 y (*.f64 1/2 z)) y))) t))
50.5b
(-.f64 (-.f64 x (/.f64 (/.f64 1 (expm1.f64 z)) (*.f64 y t))) (/.f64 (-.f64 (log.f64 (neg.f64 (expm1.f64 z))) (log.f64 (/.f64 -1 y))) t))
15.8b
x
Compiler

Compiled 346 to 243 computations (29.8% saved)

localize16.0ms (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)))
✓0.3b
(pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) -1)
✓3.0b
(/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z))))
Compiler

Compiled 47 to 14 computations (70.2% saved)

series60.0ms (0.3%)

Counts
3 → 120
Calls

30 calls:

TimeVariablePointExpression
23.0ms
y
@inf
(pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) -1)
6.0ms
z
@0
(/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z))))
4.0ms
z
@0
(pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) -1)
3.0ms
y
@-inf
(pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) -1)
2.0ms
y
@inf
(/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z))))

rewrite137.0ms (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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simplify168.0ms (0.7%)

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)))))))
(/.f64 t (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1)))))
(+.f64 (/.f64 t (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1))))) (*.f64 -1 (/.f64 t (*.f64 (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) y)))))
(+.f64 (/.f64 t (+.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 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1)))) 2) (*.f64 (-.f64 (exp.f64 z) 1) y)))) (*.f64 -1 (/.f64 (+.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))))) (pow.f64 y 2)))))
(+.f64 (*.f64 -1 (/.f64 t (*.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1)))) 4) (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 3) (pow.f64 y 3))))) (+.f64 (/.f64 t (+.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 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1)))) 3) (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 3) (pow.f64 y 3))))) (+.f64 (*.f64 -1/3 (/.f64 t (*.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) (pow.f64 y 3))))) (+.f64 (*.f64 -1 (/.f64 t (*.f64 (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) y)))) (*.f64 -1 (/.f64 (+.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))))) (pow.f64 y 2))))))))
(/.f64 t (*.f64 y z))
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(-.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)))
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(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)))
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(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))))))
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(/.f64 t (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1)))))
(/.f64 t (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 (neg.f64 (expm1.f64 z)))))
(/.f64 t (-.f64 (log.f64 (neg.f64 (expm1.f64 z))) (log.f64 (/.f64 -1 y))))
(+.f64 (/.f64 t (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1))))) (*.f64 -1 (/.f64 t (*.f64 (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) y)))))
(+.f64 (/.f64 t (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 (neg.f64 (expm1.f64 z))))) (neg.f64 (/.f64 t (*.f64 (*.f64 (expm1.f64 z) y) (pow.f64 (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 (neg.f64 (expm1.f64 z)))) 2)))))
(-.f64 (/.f64 t (-.f64 (log.f64 (neg.f64 (expm1.f64 z))) (log.f64 (/.f64 -1 y)))) (/.f64 (/.f64 t (*.f64 (expm1.f64 z) y)) (pow.f64 (-.f64 (log.f64 (neg.f64 (expm1.f64 z))) (log.f64 (/.f64 -1 y))) 2)))
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(+.f64 (/.f64 t (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 (neg.f64 (expm1.f64 z))))) (*.f64 -1 (+.f64 (/.f64 t (*.f64 (*.f64 (expm1.f64 z) y) (pow.f64 (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 (neg.f64 (expm1.f64 z)))) 2))) (/.f64 (fma.f64 -1 (/.f64 (/.f64 t (pow.f64 (expm1.f64 z) 2)) (pow.f64 (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 (neg.f64 (expm1.f64 z)))) 3)) (*.f64 -1/2 (/.f64 (/.f64 t (pow.f64 (expm1.f64 z) 2)) (pow.f64 (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 (neg.f64 (expm1.f64 z)))) 2)))) (*.f64 y y)))))
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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))
(-.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 1 expressions with local error:

NewErrorProgram
✓4.7b
(*.f64 (/.f64 y t) z)
Compiler

Compiled 23 to 7 computations (69.6% saved)

series10.0ms (0%)

Counts
1 → 36
Calls

9 calls:

TimeVariablePointExpression
4.0ms
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)
1.0ms
z
@inf
(*.f64 (/.f64 y t) z)

rewrite52.0ms (0.2%)

Algorithm
1×batch-egg-rewrite
Rules
682×pow1_binary64
629×add-log-exp_binary64
629×log1p-expm1-u_binary64
629×expm1-log1p-u_binary64
614×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
11257
216757
Stop Event
1×node limit
Counts
1 → 23
Calls
Call 1
Inputs
(*.f64 (/.f64 y t) z)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (/.f64 y t) z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 y (/.f64 t z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 z (/.f64 t y))))) (#(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 (neg.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) (pow.f64 (cbrt.f64 t) 2)) (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 /.f64 (*.f64 (neg.f64 y) z) (neg.f64 t))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 z (neg.f64 y)) (neg.f64 t))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 y t) z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 y t) z) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 y t) z)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 y t) z)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (/.f64 y t) z) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 z) (/.f64 y t)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 y t) z) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 y t) 3) (pow.f64 z 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 z 3) (pow.f64 (/.f64 y t) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 y t) z)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 y t) z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 y t) z)))))))

simplify18.0ms (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
59 → 24
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))

localize9.0ms (0%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(/.f64 (expm1.f64 z) t)
✓0.0b
(-.f64 x (*.f64 (/.f64 (expm1.f64 z) t) y))
✓3.6b
(*.f64 (/.f64 (expm1.f64 z) t) y)
Compiler

Compiled 28 to 8 computations (71.4% saved)

series12.0ms (0.1%)

Counts
3 → 108
Calls

27 calls:

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

rewrite99.0ms (0.4%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0927
119727
2281227
Stop Event
1×node limit
Counts
3 → 232
Calls
Call 1
Inputs
(*.f64 (/.f64 (expm1.f64 z) t) y)
(-.f64 x (*.f64 (/.f64 (expm1.f64 z) t) y))
(/.f64 (expm1.f64 z) t)
Outputs
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simplify81.0ms (0.4%)

Algorithm
1×egg-herbie
Rules
549×associate-*r*_binary64
520×cancel-sign-sub-inv_binary64
482×fma-def_binary64
477×associate-*l*_binary64
457×associate-/l/_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
0671142
11811131
24461129
312211107
447581080
Stop Event
1×node limit
Counts
340 → 265
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 -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))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)) x)
x
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)) x)
x
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)) x)
x
(+.f64 (*.f64 y (-.f64 (/.f64 1 t) (/.f64 (exp.f64 z) t))) x)
(+.f64 (*.f64 y (-.f64 (/.f64 1 t) (/.f64 (exp.f64 z) t))) x)
(+.f64 (*.f64 y (-.f64 (/.f64 1 t) (/.f64 (exp.f64 z) t))) x)
(*.f64 y (-.f64 (/.f64 1 t) (/.f64 (exp.f64 z) t)))
(+.f64 (*.f64 y (-.f64 (/.f64 1 t) (/.f64 (exp.f64 z) t))) x)
(+.f64 (*.f64 y (-.f64 (/.f64 1 t) (/.f64 (exp.f64 z) t))) x)
(+.f64 (*.f64 y (-.f64 (/.f64 1 t) (/.f64 (exp.f64 z) t))) x)
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)) x)
(/.f64 z t)
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 z 2) t)) (/.f64 z t))
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 z 2) t)) (+.f64 (/.f64 z t) (*.f64 1/6 (/.f64 (pow.f64 z 3) t))))
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 z 2) t)) (+.f64 (/.f64 z t) (+.f64 (*.f64 1/24 (/.f64 (pow.f64 z 4) t)) (*.f64 1/6 (/.f64 (pow.f64 z 3) t)))))
(/.f64 (-.f64 (exp.f64 z) 1) t)
(/.f64 (-.f64 (exp.f64 z) 1) t)
(/.f64 (-.f64 (exp.f64 z) 1) t)
(/.f64 (-.f64 (exp.f64 z) 1) t)
(/.f64 (-.f64 (exp.f64 z) 1) t)
(/.f64 (-.f64 (exp.f64 z) 1) t)
(/.f64 (-.f64 (exp.f64 z) 1) t)
(/.f64 (-.f64 (exp.f64 z) 1) t)
(/.f64 (-.f64 (exp.f64 z) 1) t)
(/.f64 (-.f64 (exp.f64 z) 1) t)
(/.f64 (-.f64 (exp.f64 z) 1) t)
(/.f64 (-.f64 (exp.f64 z) 1) t)
(/.f64 (-.f64 (exp.f64 z) 1) t)
(/.f64 (-.f64 (exp.f64 z) 1) t)
(/.f64 (-.f64 (exp.f64 z) 1) t)
(/.f64 (-.f64 (exp.f64 z) 1) t)
(/.f64 (-.f64 (exp.f64 z) 1) t)
(/.f64 (-.f64 (exp.f64 z) 1) t)
(/.f64 (-.f64 (exp.f64 z) 1) t)
(/.f64 (-.f64 (exp.f64 z) 1) t)
Outputs
(/.f64 (*.f64 y z) t)
(/.f64 y (/.f64 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 (*.f64 y (*.f64 z z)) t)))
(fma.f64 1/2 (/.f64 (*.f64 z z) (/.f64 t y)) (/.f64 y (/.f64 t z)))
(fma.f64 1/2 (/.f64 z (/.f64 t (*.f64 y z))) (*.f64 z (/.f64 y t)))
(*.f64 (/.f64 y t) (-.f64 z (*.f64 z (*.f64 z -1/2))))
(*.f64 (/.f64 y t) (+.f64 z (*.f64 z (*.f64 z 1/2))))
(+.f64 (*.f64 1/6 (/.f64 (*.f64 y (pow.f64 z 3)) t)) (+.f64 (/.f64 (*.f64 y z) t) (*.f64 1/2 (/.f64 (*.f64 y (pow.f64 z 2)) t))))
(fma.f64 1/6 (/.f64 (*.f64 y (pow.f64 z 3)) t) (+.f64 (/.f64 (*.f64 y z) t) (*.f64 1/2 (/.f64 (*.f64 y (*.f64 z z)) t))))
(fma.f64 1/6 (/.f64 (pow.f64 z 3) (/.f64 t y)) (fma.f64 1/2 (/.f64 (*.f64 z z) (/.f64 t y)) (/.f64 y (/.f64 t z))))
(fma.f64 1/2 (/.f64 z (/.f64 t (*.f64 y z))) (fma.f64 1/6 (*.f64 (pow.f64 z 3) (/.f64 y t)) (*.f64 z (/.f64 y t))))
(fma.f64 1/2 (*.f64 (/.f64 z t) (*.f64 y z)) (*.f64 (/.f64 y t) (-.f64 z (*.f64 (pow.f64 z 3) -1/6))))
(*.f64 (/.f64 y t) (-.f64 z (*.f64 (*.f64 z z) (+.f64 -1/2 (*.f64 z -1/6)))))
(+.f64 (*.f64 1/24 (/.f64 (*.f64 y (pow.f64 z 4)) t)) (+.f64 (*.f64 1/6 (/.f64 (*.f64 y (pow.f64 z 3)) t)) (+.f64 (/.f64 (*.f64 y z) t) (*.f64 1/2 (/.f64 (*.f64 y (pow.f64 z 2)) t)))))
(fma.f64 1/24 (/.f64 y (/.f64 t (pow.f64 z 4))) (fma.f64 1/6 (/.f64 (*.f64 y (pow.f64 z 3)) t) (+.f64 (/.f64 (*.f64 y z) t) (*.f64 1/2 (/.f64 (*.f64 y (*.f64 z z)) t)))))
(fma.f64 1/24 (/.f64 (pow.f64 z 4) (/.f64 t y)) (fma.f64 1/6 (/.f64 (pow.f64 z 3) (/.f64 t y)) (fma.f64 1/2 (/.f64 (*.f64 z z) (/.f64 t y)) (/.f64 y (/.f64 t z)))))
(fma.f64 1/24 (*.f64 (pow.f64 z 4) (/.f64 y t)) (fma.f64 1/2 (/.f64 z (/.f64 t (*.f64 y z))) (fma.f64 1/6 (*.f64 (pow.f64 z 3) (/.f64 y t)) (*.f64 z (/.f64 y t)))))
(+.f64 (*.f64 (/.f64 y t) (-.f64 z (*.f64 z (*.f64 z -1/2)))) (*.f64 (/.f64 y t) (+.f64 (*.f64 1/6 (pow.f64 z 3)) (*.f64 1/24 (pow.f64 z 4)))))
(*.f64 (/.f64 y t) (+.f64 (+.f64 z (*.f64 z (*.f64 z 1/2))) (*.f64 (pow.f64 z 3) (+.f64 1/6 (*.f64 z 1/24)))))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (*.f64 y (expm1.f64 z)) t)
(/.f64 y (/.f64 t (expm1.f64 z)))
(*.f64 (/.f64 y t) (expm1.f64 z))
(*.f64 (expm1.f64 z) (/.f64 y t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (*.f64 y (expm1.f64 z)) t)
(/.f64 y (/.f64 t (expm1.f64 z)))
(*.f64 (/.f64 y t) (expm1.f64 z))
(*.f64 (expm1.f64 z) (/.f64 y t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (*.f64 y (expm1.f64 z)) t)
(/.f64 y (/.f64 t (expm1.f64 z)))
(*.f64 (/.f64 y t) (expm1.f64 z))
(*.f64 (expm1.f64 z) (/.f64 y t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (*.f64 y (expm1.f64 z)) t)
(/.f64 y (/.f64 t (expm1.f64 z)))
(*.f64 (/.f64 y t) (expm1.f64 z))
(*.f64 (expm1.f64 z) (/.f64 y t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (*.f64 y (expm1.f64 z)) t)
(/.f64 y (/.f64 t (expm1.f64 z)))
(*.f64 (/.f64 y t) (expm1.f64 z))
(*.f64 (expm1.f64 z) (/.f64 y t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (*.f64 y (expm1.f64 z)) t)
(/.f64 y (/.f64 t (expm1.f64 z)))
(*.f64 (/.f64 y t) (expm1.f64 z))
(*.f64 (expm1.f64 z) (/.f64 y t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (*.f64 y (expm1.f64 z)) t)
(/.f64 y (/.f64 t (expm1.f64 z)))
(*.f64 (/.f64 y t) (expm1.f64 z))
(*.f64 (expm1.f64 z) (/.f64 y t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (*.f64 y (expm1.f64 z)) t)
(/.f64 y (/.f64 t (expm1.f64 z)))
(*.f64 (/.f64 y t) (expm1.f64 z))
(*.f64 (expm1.f64 z) (/.f64 y t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (*.f64 y (expm1.f64 z)) t)
(/.f64 y (/.f64 t (expm1.f64 z)))
(*.f64 (/.f64 y t) (expm1.f64 z))
(*.f64 (expm1.f64 z) (/.f64 y t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (*.f64 y (expm1.f64 z)) t)
(/.f64 y (/.f64 t (expm1.f64 z)))
(*.f64 (/.f64 y t) (expm1.f64 z))
(*.f64 (expm1.f64 z) (/.f64 y t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (*.f64 y (expm1.f64 z)) t)
(/.f64 y (/.f64 t (expm1.f64 z)))
(*.f64 (/.f64 y t) (expm1.f64 z))
(*.f64 (expm1.f64 z) (/.f64 y t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (*.f64 y (expm1.f64 z)) t)
(/.f64 y (/.f64 t (expm1.f64 z)))
(*.f64 (/.f64 y t) (expm1.f64 z))
(*.f64 (expm1.f64 z) (/.f64 y t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (*.f64 y (expm1.f64 z)) t)
(/.f64 y (/.f64 t (expm1.f64 z)))
(*.f64 (/.f64 y t) (expm1.f64 z))
(*.f64 (expm1.f64 z) (/.f64 y t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (*.f64 y (expm1.f64 z)) t)
(/.f64 y (/.f64 t (expm1.f64 z)))
(*.f64 (/.f64 y t) (expm1.f64 z))
(*.f64 (expm1.f64 z) (/.f64 y t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (*.f64 y (expm1.f64 z)) t)
(/.f64 y (/.f64 t (expm1.f64 z)))
(*.f64 (/.f64 y t) (expm1.f64 z))
(*.f64 (expm1.f64 z) (/.f64 y t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (*.f64 y (expm1.f64 z)) t)
(/.f64 y (/.f64 t (expm1.f64 z)))
(*.f64 (/.f64 y t) (expm1.f64 z))
(*.f64 (expm1.f64 z) (/.f64 y t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (*.f64 y (expm1.f64 z)) t)
(/.f64 y (/.f64 t (expm1.f64 z)))
(*.f64 (/.f64 y t) (expm1.f64 z))
(*.f64 (expm1.f64 z) (/.f64 y t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (*.f64 y (expm1.f64 z)) t)
(/.f64 y (/.f64 t (expm1.f64 z)))
(*.f64 (/.f64 y t) (expm1.f64 z))
(*.f64 (expm1.f64 z) (/.f64 y t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (*.f64 y (expm1.f64 z)) t)
(/.f64 y (/.f64 t (expm1.f64 z)))
(*.f64 (/.f64 y t) (expm1.f64 z))
(*.f64 (expm1.f64 z) (/.f64 y t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (*.f64 y (expm1.f64 z)) t)
(/.f64 y (/.f64 t (expm1.f64 z)))
(*.f64 (/.f64 y t) (expm1.f64 z))
(*.f64 (expm1.f64 z) (/.f64 y t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (*.f64 y (expm1.f64 z)) t)
(/.f64 y (/.f64 t (expm1.f64 z)))
(*.f64 (/.f64 y t) (expm1.f64 z))
(*.f64 (expm1.f64 z) (/.f64 y t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (*.f64 y (expm1.f64 z)) t)
(/.f64 y (/.f64 t (expm1.f64 z)))
(*.f64 (/.f64 y t) (expm1.f64 z))
(*.f64 (expm1.f64 z) (/.f64 y t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (*.f64 y (expm1.f64 z)) t)
(/.f64 y (/.f64 t (expm1.f64 z)))
(*.f64 (/.f64 y t) (expm1.f64 z))
(*.f64 (expm1.f64 z) (/.f64 y t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (*.f64 y (expm1.f64 z)) t)
(/.f64 y (/.f64 t (expm1.f64 z)))
(*.f64 (/.f64 y t) (expm1.f64 z))
(*.f64 (expm1.f64 z) (/.f64 y t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (*.f64 y (expm1.f64 z)) t)
(/.f64 y (/.f64 t (expm1.f64 z)))
(*.f64 (/.f64 y t) (expm1.f64 z))
(*.f64 (expm1.f64 z) (/.f64 y t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (*.f64 y (expm1.f64 z)) t)
(/.f64 y (/.f64 t (expm1.f64 z)))
(*.f64 (/.f64 y t) (expm1.f64 z))
(*.f64 (expm1.f64 z) (/.f64 y t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (*.f64 y (expm1.f64 z)) t)
(/.f64 y (/.f64 t (expm1.f64 z)))
(*.f64 (/.f64 y t) (expm1.f64 z))
(*.f64 (expm1.f64 z) (/.f64 y t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (*.f64 y (expm1.f64 z)) t)
(/.f64 y (/.f64 t (expm1.f64 z)))
(*.f64 (/.f64 y t) (expm1.f64 z))
(*.f64 (expm1.f64 z) (/.f64 y t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (*.f64 y (expm1.f64 z)) t)
(/.f64 y (/.f64 t (expm1.f64 z)))
(*.f64 (/.f64 y t) (expm1.f64 z))
(*.f64 (expm1.f64 z) (/.f64 y t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (*.f64 y (expm1.f64 z)) t)
(/.f64 y (/.f64 t (expm1.f64 z)))
(*.f64 (/.f64 y t) (expm1.f64 z))
(*.f64 (expm1.f64 z) (/.f64 y t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (*.f64 y (expm1.f64 z)) t)
(/.f64 y (/.f64 t (expm1.f64 z)))
(*.f64 (/.f64 y t) (expm1.f64 z))
(*.f64 (expm1.f64 z) (/.f64 y t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (*.f64 y (expm1.f64 z)) t)
(/.f64 y (/.f64 t (expm1.f64 z)))
(*.f64 (/.f64 y t) (expm1.f64 z))
(*.f64 (expm1.f64 z) (/.f64 y t))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(neg.f64 (/.f64 (*.f64 y (expm1.f64 z)) t))
(neg.f64 (/.f64 y (/.f64 t (expm1.f64 z))))
(/.f64 (*.f64 (expm1.f64 z) (neg.f64 y)) t)
(*.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 y (/.f64 t (expm1.f64 z))))
(-.f64 x (*.f64 (/.f64 y t) (expm1.f64 z)))
(-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)) x)
(-.f64 x (/.f64 (*.f64 y (expm1.f64 z)) t))
(-.f64 x (/.f64 y (/.f64 t (expm1.f64 z))))
(-.f64 x (*.f64 (/.f64 y t) (expm1.f64 z)))
(-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)) x)
(-.f64 x (/.f64 (*.f64 y (expm1.f64 z)) t))
(-.f64 x (/.f64 y (/.f64 t (expm1.f64 z))))
(-.f64 x (*.f64 (/.f64 y t) (expm1.f64 z)))
(-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t)))
x
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)) x)
(-.f64 x (/.f64 (*.f64 y (expm1.f64 z)) t))
(-.f64 x (/.f64 y (/.f64 t (expm1.f64 z))))
(-.f64 x (*.f64 (/.f64 y t) (expm1.f64 z)))
(-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)) x)
(-.f64 x (/.f64 (*.f64 y (expm1.f64 z)) t))
(-.f64 x (/.f64 y (/.f64 t (expm1.f64 z))))
(-.f64 x (*.f64 (/.f64 y t) (expm1.f64 z)))
(-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)) x)
(-.f64 x (/.f64 (*.f64 y (expm1.f64 z)) t))
(-.f64 x (/.f64 y (/.f64 t (expm1.f64 z))))
(-.f64 x (*.f64 (/.f64 y t) (expm1.f64 z)))
(-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t)))
x
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)) x)
(-.f64 x (/.f64 (*.f64 y (expm1.f64 z)) t))
(-.f64 x (/.f64 y (/.f64 t (expm1.f64 z))))
(-.f64 x (*.f64 (/.f64 y t) (expm1.f64 z)))
(-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)) x)
(-.f64 x (/.f64 (*.f64 y (expm1.f64 z)) t))
(-.f64 x (/.f64 y (/.f64 t (expm1.f64 z))))
(-.f64 x (*.f64 (/.f64 y t) (expm1.f64 z)))
(-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)) x)
(-.f64 x (/.f64 (*.f64 y (expm1.f64 z)) t))
(-.f64 x (/.f64 y (/.f64 t (expm1.f64 z))))
(-.f64 x (*.f64 (/.f64 y t) (expm1.f64 z)))
(-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t)))
x
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(fma.f64 -1 (/.f64 (*.f64 y z) t) x)
(-.f64 x (/.f64 y (/.f64 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 (*.f64 y (*.f64 z z)) t) x))
(-.f64 (fma.f64 (/.f64 (*.f64 z z) (/.f64 t y)) -1/2 x) (/.f64 y (/.f64 t z)))
(-.f64 (fma.f64 (/.f64 z (/.f64 t (*.f64 y z))) -1/2 x) (*.f64 z (/.f64 y t)))
(+.f64 x (*.f64 (/.f64 y t) (-.f64 (*.f64 z (*.f64 z -1/2)) z)))
(+.f64 x (*.f64 (*.f64 y (/.f64 z t)) (+.f64 -1 (*.f64 z -1/2))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 y (pow.f64 z 2)) t)) (+.f64 (*.f64 -1/6 (/.f64 (*.f64 y (pow.f64 z 3)) t)) x)))
(fma.f64 -1 (/.f64 (*.f64 y z) t) (fma.f64 -1/2 (/.f64 (*.f64 y (*.f64 z z)) t) (fma.f64 -1/6 (/.f64 (*.f64 y (pow.f64 z 3)) t) x)))
(-.f64 (fma.f64 (/.f64 (*.f64 z z) (/.f64 t y)) -1/2 (fma.f64 (/.f64 (pow.f64 z 3) (/.f64 t y)) -1/6 x)) (/.f64 y (/.f64 t z)))
(-.f64 (fma.f64 (*.f64 (pow.f64 z 3) (/.f64 y t)) -1/6 (fma.f64 (/.f64 z (/.f64 t (*.f64 y z))) -1/2 x)) (*.f64 z (/.f64 y t)))
(-.f64 (fma.f64 (*.f64 (/.f64 z t) (*.f64 y z)) -1/2 x) (*.f64 (/.f64 y t) (-.f64 z (*.f64 (pow.f64 z 3) -1/6))))
(-.f64 x (*.f64 (/.f64 y t) (-.f64 z (*.f64 (*.f64 z z) (+.f64 -1/2 (*.f64 z -1/6))))))
(-.f64 x (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(-.f64 x (/.f64 (*.f64 y (expm1.f64 z)) t))
(-.f64 x (/.f64 y (/.f64 t (expm1.f64 z))))
(-.f64 x (*.f64 (/.f64 y t) (expm1.f64 z)))
(-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t)))
(-.f64 x (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(-.f64 x (/.f64 (*.f64 y (expm1.f64 z)) t))
(-.f64 x (/.f64 y (/.f64 t (expm1.f64 z))))
(-.f64 x (*.f64 (/.f64 y t) (expm1.f64 z)))
(-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t)))
(-.f64 x (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(-.f64 x (/.f64 (*.f64 y (expm1.f64 z)) t))
(-.f64 x (/.f64 y (/.f64 t (expm1.f64 z))))
(-.f64 x (*.f64 (/.f64 y t) (expm1.f64 z)))
(-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t)))
(-.f64 x (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(-.f64 x (/.f64 (*.f64 y (expm1.f64 z)) t))
(-.f64 x (/.f64 y (/.f64 t (expm1.f64 z))))
(-.f64 x (*.f64 (/.f64 y t) (expm1.f64 z)))
(-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t)))
(-.f64 x (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(-.f64 x (/.f64 (*.f64 y (expm1.f64 z)) t))
(-.f64 x (/.f64 y (/.f64 t (expm1.f64 z))))
(-.f64 x (*.f64 (/.f64 y t) (expm1.f64 z)))
(-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t)))
(-.f64 x (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(-.f64 x (/.f64 (*.f64 y (expm1.f64 z)) t))
(-.f64 x (/.f64 y (/.f64 t (expm1.f64 z))))
(-.f64 x (*.f64 (/.f64 y t) (expm1.f64 z)))
(-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t)))
(-.f64 x (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(-.f64 x (/.f64 (*.f64 y (expm1.f64 z)) t))
(-.f64 x (/.f64 y (/.f64 t (expm1.f64 z))))
(-.f64 x (*.f64 (/.f64 y t) (expm1.f64 z)))
(-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t)))
(-.f64 x (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(-.f64 x (/.f64 (*.f64 y (expm1.f64 z)) t))
(-.f64 x (/.f64 y (/.f64 t (expm1.f64 z))))
(-.f64 x (*.f64 (/.f64 y t) (expm1.f64 z)))
(-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t)))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(neg.f64 (/.f64 (*.f64 y (expm1.f64 z)) t))
(neg.f64 (/.f64 y (/.f64 t (expm1.f64 z))))
(/.f64 (*.f64 (expm1.f64 z) (neg.f64 y)) t)
(*.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 y (/.f64 t (expm1.f64 z))))
(-.f64 x (*.f64 (/.f64 y t) (expm1.f64 z)))
(-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)) x)
(-.f64 x (/.f64 (*.f64 y (expm1.f64 z)) t))
(-.f64 x (/.f64 y (/.f64 t (expm1.f64 z))))
(-.f64 x (*.f64 (/.f64 y t) (expm1.f64 z)))
(-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)) x)
(-.f64 x (/.f64 (*.f64 y (expm1.f64 z)) t))
(-.f64 x (/.f64 y (/.f64 t (expm1.f64 z))))
(-.f64 x (*.f64 (/.f64 y t) (expm1.f64 z)))
(-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t)))
x
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)) x)
(-.f64 x (/.f64 (*.f64 y (expm1.f64 z)) t))
(-.f64 x (/.f64 y (/.f64 t (expm1.f64 z))))
(-.f64 x (*.f64 (/.f64 y t) (expm1.f64 z)))
(-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)) x)
(-.f64 x (/.f64 (*.f64 y (expm1.f64 z)) t))
(-.f64 x (/.f64 y (/.f64 t (expm1.f64 z))))
(-.f64 x (*.f64 (/.f64 y t) (expm1.f64 z)))
(-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)) x)
(-.f64 x (/.f64 (*.f64 y (expm1.f64 z)) t))
(-.f64 x (/.f64 y (/.f64 t (expm1.f64 z))))
(-.f64 x (*.f64 (/.f64 y t) (expm1.f64 z)))
(-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t)))
x
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)) x)
(-.f64 x (/.f64 (*.f64 y (expm1.f64 z)) t))
(-.f64 x (/.f64 y (/.f64 t (expm1.f64 z))))
(-.f64 x (*.f64 (/.f64 y t) (expm1.f64 z)))
(-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)) x)
(-.f64 x (/.f64 (*.f64 y (expm1.f64 z)) t))
(-.f64 x (/.f64 y (/.f64 t (expm1.f64 z))))
(-.f64 x (*.f64 (/.f64 y t) (expm1.f64 z)))
(-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)) x)
(-.f64 x (/.f64 (*.f64 y (expm1.f64 z)) t))
(-.f64 x (/.f64 y (/.f64 t (expm1.f64 z))))
(-.f64 x (*.f64 (/.f64 y t) (expm1.f64 z)))
(-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t)))
x
(+.f64 (*.f64 y (-.f64 (/.f64 1 t) (/.f64 (exp.f64 z) t))) x)
(-.f64 x (/.f64 (*.f64 y (expm1.f64 z)) t))
(-.f64 x (/.f64 y (/.f64 t (expm1.f64 z))))
(-.f64 x (*.f64 (/.f64 y t) (expm1.f64 z)))
(-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t)))
(+.f64 (*.f64 y (-.f64 (/.f64 1 t) (/.f64 (exp.f64 z) t))) x)
(-.f64 x (/.f64 (*.f64 y (expm1.f64 z)) t))
(-.f64 x (/.f64 y (/.f64 t (expm1.f64 z))))
(-.f64 x (*.f64 (/.f64 y t) (expm1.f64 z)))
(-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t)))
(+.f64 (*.f64 y (-.f64 (/.f64 1 t) (/.f64 (exp.f64 z) t))) x)
(-.f64 x (/.f64 (*.f64 y (expm1.f64 z)) t))
(-.f64 x (/.f64 y (/.f64 t (expm1.f64 z))))
(-.f64 x (*.f64 (/.f64 y t) (expm1.f64 z)))
(-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t)))
(*.f64 y (-.f64 (/.f64 1 t) (/.f64 (exp.f64 z) t)))
(neg.f64 (/.f64 (*.f64 y (expm1.f64 z)) t))
(neg.f64 (/.f64 y (/.f64 t (expm1.f64 z))))
(/.f64 (*.f64 (expm1.f64 z) (neg.f64 y)) t)
(*.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 y (/.f64 t (expm1.f64 z))))
(-.f64 x (*.f64 (/.f64 y t) (expm1.f64 z)))
(-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t)))
(+.f64 (*.f64 y (-.f64 (/.f64 1 t) (/.f64 (exp.f64 z) t))) x)
(-.f64 x (/.f64 (*.f64 y (expm1.f64 z)) t))
(-.f64 x (/.f64 y (/.f64 t (expm1.f64 z))))
(-.f64 x (*.f64 (/.f64 y t) (expm1.f64 z)))
(-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t)))
(+.f64 (*.f64 y (-.f64 (/.f64 1 t) (/.f64 (exp.f64 z) t))) x)
(-.f64 x (/.f64 (*.f64 y (expm1.f64 z)) t))
(-.f64 x (/.f64 y (/.f64 t (expm1.f64 z))))
(-.f64 x (*.f64 (/.f64 y t) (expm1.f64 z)))
(-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t)))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(neg.f64 (/.f64 (*.f64 y (expm1.f64 z)) t))
(neg.f64 (/.f64 y (/.f64 t (expm1.f64 z))))
(/.f64 (*.f64 (expm1.f64 z) (neg.f64 y)) t)
(*.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 y (/.f64 t (expm1.f64 z))))
(-.f64 x (*.f64 (/.f64 y t) (expm1.f64 z)))
(-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)) x)
(-.f64 x (/.f64 (*.f64 y (expm1.f64 z)) t))
(-.f64 x (/.f64 y (/.f64 t (expm1.f64 z))))
(-.f64 x (*.f64 (/.f64 y t) (expm1.f64 z)))
(-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)) x)
(-.f64 x (/.f64 (*.f64 y (expm1.f64 z)) t))
(-.f64 x (/.f64 y (/.f64 t (expm1.f64 z))))
(-.f64 x (*.f64 (/.f64 y t) (expm1.f64 z)))
(-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t)))
(/.f64 z t)
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 z 2) t)) (/.f64 z t))
(fma.f64 1/2 (/.f64 (*.f64 z z) t) (/.f64 z t))
(fma.f64 1/2 (/.f64 z (/.f64 t z)) (/.f64 z t))
(fma.f64 1/2 (*.f64 (/.f64 z t) z) (/.f64 z t))
(fma.f64 1/2 (*.f64 z (/.f64 z t)) (/.f64 z t))
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 z 2) t)) (+.f64 (/.f64 z t) (*.f64 1/6 (/.f64 (pow.f64 z 3) t))))
(+.f64 (fma.f64 1/2 (/.f64 (*.f64 z z) t) (/.f64 z t)) (*.f64 1/6 (/.f64 (pow.f64 z 3) t)))
(fma.f64 1/2 (/.f64 z (/.f64 t z)) (fma.f64 1/6 (/.f64 (pow.f64 z 3) t) (/.f64 z t)))
(fma.f64 1/2 (*.f64 (/.f64 z t) z) (fma.f64 1/6 (/.f64 (pow.f64 z 3) t) (/.f64 z t)))
(fma.f64 1/2 (*.f64 z (/.f64 z t)) (fma.f64 1/6 (/.f64 (pow.f64 z 3) t) (/.f64 z t)))
(+.f64 (/.f64 z t) (*.f64 (*.f64 z (/.f64 z t)) (+.f64 1/2 (*.f64 z 1/6))))
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 z 2) t)) (+.f64 (/.f64 z t) (+.f64 (*.f64 1/24 (/.f64 (pow.f64 z 4) t)) (*.f64 1/6 (/.f64 (pow.f64 z 3) t)))))
(+.f64 (fma.f64 1/2 (/.f64 (*.f64 z z) t) (/.f64 z t)) (fma.f64 1/24 (/.f64 (pow.f64 z 4) t) (*.f64 1/6 (/.f64 (pow.f64 z 3) t))))
(+.f64 (fma.f64 1/2 (/.f64 z (/.f64 t z)) (/.f64 z t)) (fma.f64 1/6 (/.f64 (pow.f64 z 3) t) (*.f64 1/24 (/.f64 (pow.f64 z 4) t))))
(fma.f64 1/2 (*.f64 (/.f64 z t) z) (fma.f64 1/6 (/.f64 (pow.f64 z 3) t) (fma.f64 1/24 (/.f64 (pow.f64 z 4) t) (/.f64 z t))))
(fma.f64 1/2 (*.f64 z (/.f64 z t)) (fma.f64 1/6 (/.f64 (pow.f64 z 3) t) (fma.f64 (/.f64 1/24 t) (pow.f64 z 4) (/.f64 z t))))
(+.f64 (/.f64 z t) (fma.f64 1/24 (/.f64 (pow.f64 z 4) t) (*.f64 (*.f64 z (/.f64 z t)) (+.f64 1/2 (*.f64 z 1/6)))))
(/.f64 (-.f64 (exp.f64 z) 1) t)
(/.f64 (expm1.f64 z) t)
(/.f64 (-.f64 (exp.f64 z) 1) t)
(/.f64 (expm1.f64 z) t)
(/.f64 (-.f64 (exp.f64 z) 1) t)
(/.f64 (expm1.f64 z) t)
(/.f64 (-.f64 (exp.f64 z) 1) t)
(/.f64 (expm1.f64 z) t)
(/.f64 (-.f64 (exp.f64 z) 1) t)
(/.f64 (expm1.f64 z) t)
(/.f64 (-.f64 (exp.f64 z) 1) t)
(/.f64 (expm1.f64 z) t)
(/.f64 (-.f64 (exp.f64 z) 1) t)
(/.f64 (expm1.f64 z) t)
(/.f64 (-.f64 (exp.f64 z) 1) t)
(/.f64 (expm1.f64 z) t)
(/.f64 (-.f64 (exp.f64 z) 1) t)
(/.f64 (expm1.f64 z) t)
(/.f64 (-.f64 (exp.f64 z) 1) t)
(/.f64 (expm1.f64 z) t)
(/.f64 (-.f64 (exp.f64 z) 1) t)
(/.f64 (expm1.f64 z) t)
(/.f64 (-.f64 (exp.f64 z) 1) t)
(/.f64 (expm1.f64 z) t)
(/.f64 (-.f64 (exp.f64 z) 1) t)
(/.f64 (expm1.f64 z) t)
(/.f64 (-.f64 (exp.f64 z) 1) t)
(/.f64 (expm1.f64 z) t)
(/.f64 (-.f64 (exp.f64 z) 1) t)
(/.f64 (expm1.f64 z) t)
(/.f64 (-.f64 (exp.f64 z) 1) t)
(/.f64 (expm1.f64 z) t)
(/.f64 (-.f64 (exp.f64 z) 1) t)
(/.f64 (expm1.f64 z) t)
(/.f64 (-.f64 (exp.f64 z) 1) t)
(/.f64 (expm1.f64 z) t)
(/.f64 (-.f64 (exp.f64 z) 1) t)
(/.f64 (expm1.f64 z) t)
(/.f64 (-.f64 (exp.f64 z) 1) t)
(/.f64 (expm1.f64 z) t)

localize27.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(log1p.f64 (*.f64 z (+.f64 (*.f64 y (*.f64 1/2 z)) y)))
✓0.0b
(*.f64 z (+.f64 (*.f64 y (*.f64 1/2 z)) y))
✓3.1b
(/.f64 (log1p.f64 (*.f64 z (+.f64 (*.f64 y (*.f64 1/2 z)) y))) t)
Compiler

Compiled 69 to 40 computations (42% saved)

series38.0ms (0.2%)

Counts
3 → 84
Calls

21 calls:

TimeVariablePointExpression
17.0ms
t
@0
(/.f64 (log1p.f64 (*.f64 z (+.f64 (*.f64 y (*.f64 1/2 z)) y))) t)
5.0ms
t
@inf
(/.f64 (log1p.f64 (*.f64 z (+.f64 (*.f64 y (*.f64 1/2 z)) y))) t)
2.0ms
y
@inf
(/.f64 (log1p.f64 (*.f64 z (+.f64 (*.f64 y (*.f64 1/2 z)) y))) t)
1.0ms
y
@-inf
(/.f64 (log1p.f64 (*.f64 z (+.f64 (*.f64 y (*.f64 1/2 z)) y))) t)
1.0ms
y
@0
(/.f64 (log1p.f64 (*.f64 z (+.f64 (*.f64 y (*.f64 1/2 z)) y))) t)

rewrite102.0ms (0.4%)

Algorithm
1×batch-egg-rewrite
Rules
660×log-prod_binary64
441×pow-prod-down_binary64
387×fma-def_binary64
322×pow2_binary64
226×pow1/3_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01140
124240
2340340
Stop Event
1×node limit
Counts
3 → 123
Calls
Call 1
Inputs
(/.f64 (log1p.f64 (*.f64 z (+.f64 (*.f64 y (*.f64 1/2 z)) y))) t)
(*.f64 z (+.f64 (*.f64 y (*.f64 1/2 z)) y))
(log1p.f64 (*.f64 z (+.f64 (*.f64 y (*.f64 1/2 z)) y)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (log1p.f64 (*.f64 z (*.f64 y (fma.f64 z 1/2 1)))) t))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (fma.f64 z (*.f64 y (fma.f64 z 1/2 1)) 1) (/.f64 1 t))) 2)) (log.f64 (cbrt.f64 (pow.f64 (fma.f64 z (*.f64 y (fma.f64 z 1/2 1)) 1) (/.f64 1 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (fma.f64 z (*.f64 y (fma.f64 z 1/2 1)) 1) (/.f64 1 t)))) (log.f64 (sqrt.f64 (pow.f64 (fma.f64 z (*.f64 y (fma.f64 z 1/2 1)) 1) (/.f64 1 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (log1p.f64 (*.f64 z (*.f64 y (fma.f64 z 1/2 1)))) t))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log1p.f64 (*.f64 z (*.f64 y (fma.f64 z 1/2 1)))) (/.f64 1 t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (log1p.f64 (*.f64 z (*.f64 y (fma.f64 z 1/2 1)))) t) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (log1p.f64 (*.f64 z 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log1p.f64 (*.f64 z (*.f64 y (fma.f64 z 1/2 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (fma.f64 z (*.f64 y (fma.f64 z 1/2 1)) 1)) 2)) (log.f64 (cbrt.f64 (fma.f64 z (*.f64 y (fma.f64 z 1/2 1)) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (fma.f64 z (*.f64 y (fma.f64 z 1/2 1)) 1))) (log.f64 (sqrt.f64 (fma.f64 z (*.f64 y (fma.f64 z 1/2 1)) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log1p.f64 (pow.f64 (*.f64 z (*.f64 y (fma.f64 z 1/2 1))) 3)) (log.f64 (+.f64 1 (-.f64 (pow.f64 (*.f64 z (*.f64 y (fma.f64 z 1/2 1))) 2) (*.f64 z (*.f64 y (fma.f64 z 1/2 1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (log1p.f64 (*.f64 z (*.f64 y (fma.f64 z 1/2 1)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (-.f64 1 (pow.f64 (*.f64 z (*.f64 y (fma.f64 z 1/2 1))) 2))) (log.f64 (-.f64 1 (*.f64 z (*.f64 y (fma.f64 z 1/2 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log1p.f64 (*.f64 z (*.f64 y (fma.f64 z 1/2 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log1p.f64 (*.f64 z (*.f64 y (fma.f64 z 1/2 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log1p.f64 (*.f64 z (*.f64 y (fma.f64 z 1/2 1))))) (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 z (*.f64 y (fma.f64 z 1/2 1))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 z (*.f64 y (fma.f64 z 1/2 1))))) 2) (cbrt.f64 (log1p.f64 (*.f64 z (*.f64 y (fma.f64 z 1/2 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log1p.f64 (*.f64 z (*.f64 y (fma.f64 z 1/2 1))))) (sqrt.f64 (log1p.f64 (*.f64 z (*.f64 y (fma.f64 z 1/2 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log1p.f64 (*.f64 z (*.f64 y (fma.f64 z 1/2 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log1p.f64 (*.f64 z (*.f64 y (fma.f64 z 1/2 1)))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log1p.f64 (*.f64 z (*.f64 y (fma.f64 z 1/2 1)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log1p.f64 (*.f64 z (*.f64 y (fma.f64 z 1/2 1))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log1p.f64 (*.f64 z (*.f64 y (fma.f64 z 1/2 1))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log1p.f64 (*.f64 z (*.f64 y (fma.f64 z 1/2 1)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (fma.f64 z (*.f64 y (fma.f64 z 1/2 1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log1p.f64 (*.f64 z (*.f64 y (fma.f64 z 1/2 1)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log1p.f64 (*.f64 z (*.f64 y (fma.f64 z 1/2 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log1p.f64 (*.f64 z (*.f64 y (fma.f64 z 1/2 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (log1p.f64 (*.f64 z (*.f64 y (fma.f64 z 1/2 1))))) 1))))))

simplify80.0ms (0.3%)

Algorithm
1×egg-herbie
Rules
649×associate-+l+_binary64
413×associate-/l*_binary64
409×distribute-rgt-in_binary64
395×distribute-lft-in_binary64
314×times-frac_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02632784
18232567
229252532
Stop Event
1×node limit
Counts
207 → 225
Calls
Call 1
Inputs
(/.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 (*.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 (*.f64 -3 (pow.f64 y 2)) (*.f64 2 (pow.f64 y 3))) (pow.f64 z 3)) t)) (+.f64 (*.f64 1/24 (/.f64 (*.f64 (+.f64 (*.f64 -3 (pow.f64 y 2)) (+.f64 (*.f64 12 (pow.f64 y 3)) (*.f64 -6 (pow.f64 y 4)))) (pow.f64 z 4)) t)) (/.f64 (*.f64 y z) t))))
(/.f64 (+.f64 (*.f64 -2 (log.f64 (/.f64 1 z))) (log.f64 (*.f64 1/2 y))) t)
(+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (+.f64 (/.f64 (log.f64 (*.f64 1/2 y)) t) (*.f64 -2 (/.f64 (log.f64 (/.f64 1 z)) t))))
(+.f64 (/.f64 (log.f64 (*.f64 1/2 y)) t) (+.f64 (*.f64 -2 (/.f64 (log.f64 (/.f64 1 z)) t)) (+.f64 (*.f64 1/2 (/.f64 (-.f64 (*.f64 4 (/.f64 1 y)) 4) (*.f64 t (pow.f64 z 2)))) (*.f64 2 (/.f64 1 (*.f64 t z))))))
(+.f64 (/.f64 (log.f64 (*.f64 1/2 y)) t) (+.f64 (*.f64 -2 (/.f64 (log.f64 (/.f64 1 z)) t)) (+.f64 (*.f64 1/2 (/.f64 (-.f64 (*.f64 4 (/.f64 1 y)) 4) (*.f64 t (pow.f64 z 2)))) (+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (*.f64 1/6 (/.f64 (-.f64 16 (*.f64 24 (/.f64 1 y))) (*.f64 t (pow.f64 z 3))))))))
(/.f64 (+.f64 (log.f64 (*.f64 1/2 y)) (*.f64 -2 (log.f64 (/.f64 -1 z)))) t)
(+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (+.f64 (/.f64 (log.f64 (*.f64 1/2 y)) t) (*.f64 -2 (/.f64 (log.f64 (/.f64 -1 z)) t))))
(+.f64 (/.f64 (log.f64 (*.f64 1/2 y)) t) (+.f64 (*.f64 -2 (/.f64 (log.f64 (/.f64 -1 z)) t)) (+.f64 (*.f64 1/2 (/.f64 (-.f64 (*.f64 4 (/.f64 1 y)) 4) (*.f64 t (pow.f64 z 2)))) (*.f64 2 (/.f64 1 (*.f64 t z))))))
(+.f64 (/.f64 (log.f64 (*.f64 1/2 y)) t) (+.f64 (*.f64 -2 (/.f64 (log.f64 (/.f64 -1 z)) t)) (+.f64 (*.f64 1/2 (/.f64 (-.f64 (*.f64 4 (/.f64 1 y)) 4) (*.f64 t (pow.f64 z 2)))) (+.f64 (*.f64 -1/6 (/.f64 (-.f64 (*.f64 24 (/.f64 1 y)) 16) (*.f64 t (pow.f64 z 3)))) (*.f64 2 (/.f64 1 (*.f64 t z)))))))
(/.f64 (*.f64 (+.f64 1 (*.f64 1/2 z)) (*.f64 y z)) t)
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 (+.f64 1 (*.f64 1/2 z)) 2) (*.f64 (pow.f64 y 2) (pow.f64 z 2))) t)) (/.f64 (*.f64 (+.f64 1 (*.f64 1/2 z)) (*.f64 y z)) t))
(+.f64 (*.f64 1/3 (/.f64 (*.f64 (pow.f64 (+.f64 1 (*.f64 1/2 z)) 3) (*.f64 (pow.f64 y 3) (pow.f64 z 3))) t)) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 (+.f64 1 (*.f64 1/2 z)) 2) (*.f64 (pow.f64 y 2) (pow.f64 z 2))) t)) (/.f64 (*.f64 (+.f64 1 (*.f64 1/2 z)) (*.f64 y z)) t)))
(+.f64 (*.f64 -1/4 (/.f64 (*.f64 (pow.f64 (+.f64 1 (*.f64 1/2 z)) 4) (*.f64 (pow.f64 y 4) (pow.f64 z 4))) t)) (+.f64 (*.f64 1/3 (/.f64 (*.f64 (pow.f64 (+.f64 1 (*.f64 1/2 z)) 3) (*.f64 (pow.f64 y 3) (pow.f64 z 3))) t)) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 (+.f64 1 (*.f64 1/2 z)) 2) (*.f64 (pow.f64 y 2) (pow.f64 z 2))) t)) (/.f64 (*.f64 (+.f64 1 (*.f64 1/2 z)) (*.f64 y z)) t))))
(/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 y))) (log.f64 (*.f64 (+.f64 1 (*.f64 1/2 z)) z))) t)
(+.f64 (/.f64 1 (*.f64 (+.f64 1 (*.f64 1/2 z)) (*.f64 y (*.f64 t z)))) (+.f64 (/.f64 (log.f64 (*.f64 (+.f64 1 (*.f64 1/2 z)) z)) t) (*.f64 -1 (/.f64 (log.f64 (/.f64 1 y)) t))))
(-.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 1 (*.f64 1/2 z)) (*.f64 y (*.f64 t z)))) (+.f64 (/.f64 (log.f64 (*.f64 (+.f64 1 (*.f64 1/2 z)) z)) t) (*.f64 -1 (/.f64 (log.f64 (/.f64 1 y)) t)))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (+.f64 1 (*.f64 1/2 z)) 2) (*.f64 (pow.f64 y 2) (*.f64 t (pow.f64 z 2)))))))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (*.f64 (pow.f64 (+.f64 1 (*.f64 1/2 z)) 3) (*.f64 (pow.f64 y 3) (*.f64 t (pow.f64 z 3)))))) (+.f64 (/.f64 1 (*.f64 (+.f64 1 (*.f64 1/2 z)) (*.f64 y (*.f64 t z)))) (+.f64 (/.f64 (log.f64 (*.f64 (+.f64 1 (*.f64 1/2 z)) z)) t) (*.f64 -1 (/.f64 (log.f64 (/.f64 1 y)) t))))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (+.f64 1 (*.f64 1/2 z)) 2) (*.f64 (pow.f64 y 2) (*.f64 t (pow.f64 z 2)))))))
(/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (*.f64 z (-.f64 (*.f64 -1/2 z) 1)))) t)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 y)) t)) (/.f64 (log.f64 (*.f64 z (-.f64 (*.f64 -1/2 z) 1))) t)) (/.f64 1 (*.f64 y (*.f64 t (*.f64 (-.f64 (*.f64 -1/2 z) 1) z)))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 y)) t)) (/.f64 (log.f64 (*.f64 z (-.f64 (*.f64 -1/2 z) 1))) t)) (+.f64 (/.f64 1 (*.f64 y (*.f64 t (*.f64 z (-.f64 (*.f64 -1/2 z) 1))))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 y 2) (*.f64 t (*.f64 (pow.f64 (-.f64 (*.f64 -1/2 z) 1) 2) (pow.f64 z 2))))))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 y)) t)) (/.f64 (log.f64 (*.f64 z (-.f64 (*.f64 -1/2 z) 1))) t)) (+.f64 (*.f64 1/3 (/.f64 1 (*.f64 (pow.f64 y 3) (*.f64 t (*.f64 (pow.f64 z 3) (pow.f64 (-.f64 (*.f64 -1/2 z) 1) 3)))))) (+.f64 (/.f64 1 (*.f64 y (*.f64 t (*.f64 z (-.f64 (*.f64 -1/2 z) 1))))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 y 2) (*.f64 t (*.f64 (pow.f64 (-.f64 (*.f64 -1/2 z) 1) 2) (pow.f64 z 2)))))))))
(/.f64 (log.f64 (+.f64 1 (*.f64 z (+.f64 y (*.f64 1/2 (*.f64 y z)))))) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 z (+.f64 y (*.f64 1/2 (*.f64 y z)))))) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 z (+.f64 y (*.f64 1/2 (*.f64 y z)))))) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 z (+.f64 y (*.f64 1/2 (*.f64 y z)))))) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 z (+.f64 y (*.f64 1/2 (*.f64 y z)))))) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 z (+.f64 y (*.f64 1/2 (*.f64 y z)))))) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 z (+.f64 y (*.f64 1/2 (*.f64 y z)))))) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 z (+.f64 y (*.f64 1/2 (*.f64 y z)))))) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 z (+.f64 y (*.f64 1/2 (*.f64 y z)))))) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 z (+.f64 y (*.f64 1/2 (*.f64 y z)))))) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 z (+.f64 y (*.f64 1/2 (*.f64 y z)))))) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 z (+.f64 y (*.f64 1/2 (*.f64 y z)))))) t)
(*.f64 y z)
(+.f64 (*.f64 y z) (*.f64 1/2 (*.f64 y (pow.f64 z 2))))
(+.f64 (*.f64 y z) (*.f64 1/2 (*.f64 y (pow.f64 z 2))))
(+.f64 (*.f64 y z) (*.f64 1/2 (*.f64 y (pow.f64 z 2))))
(*.f64 1/2 (*.f64 y (pow.f64 z 2)))
(+.f64 (*.f64 y z) (*.f64 1/2 (*.f64 y (pow.f64 z 2))))
(+.f64 (*.f64 y z) (*.f64 1/2 (*.f64 y (pow.f64 z 2))))
(+.f64 (*.f64 y z) (*.f64 1/2 (*.f64 y (pow.f64 z 2))))
(*.f64 1/2 (*.f64 y (pow.f64 z 2)))
(+.f64 (*.f64 y z) (*.f64 1/2 (*.f64 y (pow.f64 z 2))))
(+.f64 (*.f64 y z) (*.f64 1/2 (*.f64 y (pow.f64 z 2))))
(+.f64 (*.f64 y z) (*.f64 1/2 (*.f64 y (pow.f64 z 2))))
(*.f64 (+.f64 1 (*.f64 1/2 z)) (*.f64 y z))
(*.f64 (+.f64 1 (*.f64 1/2 z)) (*.f64 y z))
(*.f64 (+.f64 1 (*.f64 1/2 z)) (*.f64 y z))
(*.f64 (+.f64 1 (*.f64 1/2 z)) (*.f64 y z))
(*.f64 (+.f64 1 (*.f64 1/2 z)) (*.f64 y z))
(*.f64 (+.f64 1 (*.f64 1/2 z)) (*.f64 y z))
(*.f64 (+.f64 1 (*.f64 1/2 z)) (*.f64 y z))
(*.f64 (+.f64 1 (*.f64 1/2 z)) (*.f64 y z))
(*.f64 -1 (*.f64 y (*.f64 (-.f64 (*.f64 -1/2 z) 1) z)))
(*.f64 -1 (*.f64 y (*.f64 (-.f64 (*.f64 -1/2 z) 1) z)))
(*.f64 -1 (*.f64 y (*.f64 (-.f64 (*.f64 -1/2 z) 1) z)))
(*.f64 -1 (*.f64 y (*.f64 (-.f64 (*.f64 -1/2 z) 1) z)))
(*.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 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 2 (pow.f64 y 3))) (pow.f64 z 3))) (+.f64 (*.f64 1/24 (*.f64 (+.f64 (*.f64 -3 (pow.f64 y 2)) (+.f64 (*.f64 12 (pow.f64 y 3)) (*.f64 -6 (pow.f64 y 4)))) (pow.f64 z 4))) (*.f64 1/2 (*.f64 (pow.f64 z 2) (+.f64 (*.f64 -1 (pow.f64 y 2)) y))))))
(+.f64 (*.f64 -2 (log.f64 (/.f64 1 z))) (log.f64 (*.f64 1/2 y)))
(+.f64 (*.f64 -2 (log.f64 (/.f64 1 z))) (+.f64 (log.f64 (*.f64 1/2 y)) (*.f64 2 (/.f64 1 z))))
(+.f64 (*.f64 -2 (log.f64 (/.f64 1 z))) (+.f64 (log.f64 (*.f64 1/2 y)) (+.f64 (*.f64 2 (/.f64 1 z)) (*.f64 1/2 (/.f64 (-.f64 (*.f64 4 (/.f64 1 y)) 4) (pow.f64 z 2))))))
(+.f64 (*.f64 1/6 (/.f64 (-.f64 16 (*.f64 24 (/.f64 1 y))) (pow.f64 z 3))) (+.f64 (*.f64 -2 (log.f64 (/.f64 1 z))) (+.f64 (log.f64 (*.f64 1/2 y)) (+.f64 (*.f64 2 (/.f64 1 z)) (*.f64 1/2 (/.f64 (-.f64 (*.f64 4 (/.f64 1 y)) 4) (pow.f64 z 2)))))))
(+.f64 (log.f64 (*.f64 1/2 y)) (*.f64 -2 (log.f64 (/.f64 -1 z))))
(+.f64 (log.f64 (*.f64 1/2 y)) (+.f64 (*.f64 2 (/.f64 1 z)) (*.f64 -2 (log.f64 (/.f64 -1 z)))))
(+.f64 (log.f64 (*.f64 1/2 y)) (+.f64 (*.f64 2 (/.f64 1 z)) (+.f64 (*.f64 1/2 (/.f64 (-.f64 (*.f64 4 (/.f64 1 y)) 4) (pow.f64 z 2))) (*.f64 -2 (log.f64 (/.f64 -1 z))))))
(+.f64 (*.f64 -1/6 (/.f64 (-.f64 (*.f64 24 (/.f64 1 y)) 16) (pow.f64 z 3))) (+.f64 (log.f64 (*.f64 1/2 y)) (+.f64 (*.f64 2 (/.f64 1 z)) (+.f64 (*.f64 1/2 (/.f64 (-.f64 (*.f64 4 (/.f64 1 y)) 4) (pow.f64 z 2))) (*.f64 -2 (log.f64 (/.f64 -1 z)))))))
(*.f64 (+.f64 1 (*.f64 1/2 z)) (*.f64 y z))
(+.f64 (*.f64 (+.f64 1 (*.f64 1/2 z)) (*.f64 y z)) (*.f64 -1/2 (*.f64 (pow.f64 (+.f64 1 (*.f64 1/2 z)) 2) (*.f64 (pow.f64 y 2) (pow.f64 z 2)))))
(+.f64 (*.f64 (+.f64 1 (*.f64 1/2 z)) (*.f64 y z)) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 (+.f64 1 (*.f64 1/2 z)) 2) (*.f64 (pow.f64 y 2) (pow.f64 z 2)))) (*.f64 1/3 (*.f64 (pow.f64 (+.f64 1 (*.f64 1/2 z)) 3) (*.f64 (pow.f64 y 3) (pow.f64 z 3))))))
(+.f64 (*.f64 (+.f64 1 (*.f64 1/2 z)) (*.f64 y z)) (+.f64 (*.f64 -1/4 (*.f64 (pow.f64 (+.f64 1 (*.f64 1/2 z)) 4) (*.f64 (pow.f64 y 4) (pow.f64 z 4)))) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 (+.f64 1 (*.f64 1/2 z)) 2) (*.f64 (pow.f64 y 2) (pow.f64 z 2)))) (*.f64 1/3 (*.f64 (pow.f64 (+.f64 1 (*.f64 1/2 z)) 3) (*.f64 (pow.f64 y 3) (pow.f64 z 3)))))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 y))) (log.f64 (*.f64 (+.f64 1 (*.f64 1/2 z)) z)))
(+.f64 (/.f64 1 (*.f64 (+.f64 1 (*.f64 1/2 z)) (*.f64 y z))) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 y))) (log.f64 (*.f64 (+.f64 1 (*.f64 1/2 z)) z))))
(-.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 1 (*.f64 1/2 z)) (*.f64 y z))) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 y))) (log.f64 (*.f64 (+.f64 1 (*.f64 1/2 z)) z)))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (+.f64 1 (*.f64 1/2 z)) 2) (*.f64 (pow.f64 y 2) (pow.f64 z 2))))))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (*.f64 (pow.f64 (+.f64 1 (*.f64 1/2 z)) 3) (*.f64 (pow.f64 y 3) (pow.f64 z 3))))) (+.f64 (/.f64 1 (*.f64 (+.f64 1 (*.f64 1/2 z)) (*.f64 y z))) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 y))) (log.f64 (*.f64 (+.f64 1 (*.f64 1/2 z)) z))))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (+.f64 1 (*.f64 1/2 z)) 2) (*.f64 (pow.f64 y 2) (pow.f64 z 2))))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (*.f64 (-.f64 (*.f64 -1/2 z) 1) z)))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (*.f64 (-.f64 (*.f64 -1/2 z) 1) z))) (/.f64 1 (*.f64 y (*.f64 z (-.f64 (*.f64 -1/2 z) 1)))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (*.f64 (-.f64 (*.f64 -1/2 z) 1) z))) (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 y 2) (*.f64 (pow.f64 z 2) (pow.f64 (-.f64 (*.f64 -1/2 z) 1) 2))))) (/.f64 1 (*.f64 y (*.f64 (-.f64 (*.f64 -1/2 z) 1) z)))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (*.f64 (-.f64 (*.f64 -1/2 z) 1) z))) (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 y 2) (*.f64 (pow.f64 z 2) (pow.f64 (-.f64 (*.f64 -1/2 z) 1) 2))))) (+.f64 (/.f64 1 (*.f64 y (*.f64 (-.f64 (*.f64 -1/2 z) 1) z))) (*.f64 1/3 (/.f64 1 (*.f64 (pow.f64 y 3) (*.f64 (pow.f64 z 3) (pow.f64 (-.f64 (*.f64 -1/2 z) 1) 3))))))))
Outputs
(/.f64 (*.f64 y z) t)
(*.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 (*.f64 y z) t))
(fma.f64 1/2 (*.f64 (/.f64 (*.f64 z z) t) (-.f64 y (*.f64 y y))) (*.f64 (/.f64 y t) z))
(fma.f64 1/2 (*.f64 (/.f64 (*.f64 z z) t) (-.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 (*.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 (fma.f64 -3 (*.f64 y y) (*.f64 2 (pow.f64 y 3))) (/.f64 t (pow.f64 z 3))) (/.f64 (*.f64 y z) t)))
(fma.f64 1/2 (*.f64 (/.f64 (*.f64 z z) t) (-.f64 y (*.f64 y y))) (fma.f64 1/6 (*.f64 (/.f64 (fma.f64 (*.f64 y y) -3 (*.f64 2 (pow.f64 y 3))) t) (pow.f64 z 3)) (*.f64 (/.f64 y t) z)))
(fma.f64 1/2 (*.f64 (/.f64 (*.f64 z z) t) (-.f64 y (*.f64 y y))) (fma.f64 1/6 (*.f64 (/.f64 (*.f64 (*.f64 y y) (+.f64 -3 (*.f64 2 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 (*.f64 -3 (pow.f64 y 2)) (*.f64 2 (pow.f64 y 3))) (pow.f64 z 3)) t)) (+.f64 (*.f64 1/24 (/.f64 (*.f64 (+.f64 (*.f64 -3 (pow.f64 y 2)) (+.f64 (*.f64 12 (pow.f64 y 3)) (*.f64 -6 (pow.f64 y 4)))) (pow.f64 z 4)) 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 (fma.f64 -3 (*.f64 y y) (*.f64 2 (pow.f64 y 3))) (/.f64 t (pow.f64 z 3))) (fma.f64 1/24 (/.f64 (fma.f64 -3 (*.f64 y y) (fma.f64 12 (pow.f64 y 3) (*.f64 -6 (pow.f64 y 4)))) (/.f64 t (pow.f64 z 4))) (/.f64 (*.f64 y z) t))))
(fma.f64 1/2 (*.f64 (/.f64 (*.f64 z z) t) (-.f64 y (*.f64 y y))) (fma.f64 1/6 (*.f64 (/.f64 (fma.f64 (*.f64 y y) -3 (*.f64 2 (pow.f64 y 3))) t) (pow.f64 z 3)) (fma.f64 1/24 (*.f64 (/.f64 (fma.f64 (*.f64 y y) -3 (fma.f64 (pow.f64 y 3) 12 (*.f64 -6 (pow.f64 y 4)))) t) (pow.f64 z 4)) (*.f64 (/.f64 y t) z))))
(fma.f64 1/2 (*.f64 (/.f64 (*.f64 z z) t) (-.f64 y (*.f64 y y))) (fma.f64 1/6 (*.f64 (/.f64 (*.f64 (*.f64 y y) (+.f64 -3 (*.f64 2 y))) t) (pow.f64 z 3)) (fma.f64 1/24 (*.f64 (/.f64 (fma.f64 (*.f64 y y) -3 (fma.f64 -6 (pow.f64 y 4) (*.f64 (pow.f64 y 3) 12))) t) (pow.f64 z 4)) (*.f64 (/.f64 z t) y))))
(/.f64 (+.f64 (*.f64 -2 (log.f64 (/.f64 1 z))) (log.f64 (*.f64 1/2 y))) t)
(/.f64 (fma.f64 -2 (neg.f64 (log.f64 z)) (log.f64 (*.f64 y 1/2))) t)
(/.f64 (+.f64 (*.f64 2 (log.f64 z)) (log.f64 (*.f64 y 1/2))) t)
(+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (+.f64 (/.f64 (log.f64 (*.f64 1/2 y)) t) (*.f64 -2 (/.f64 (log.f64 (/.f64 1 z)) t))))
(+.f64 (/.f64 2 (*.f64 z t)) (+.f64 (/.f64 (log.f64 (*.f64 y 1/2)) t) (*.f64 -2 (/.f64 (neg.f64 (log.f64 z)) t))))
(+.f64 (/.f64 2 (*.f64 z t)) (fma.f64 -2 (/.f64 (neg.f64 (log.f64 z)) t) (/.f64 (log.f64 (*.f64 y 1/2)) t)))
(+.f64 (/.f64 (log.f64 (*.f64 y 1/2)) t) (+.f64 (/.f64 (*.f64 2 (log.f64 z)) t) (/.f64 2 (*.f64 z t))))
(+.f64 (/.f64 (log.f64 (*.f64 1/2 y)) t) (+.f64 (*.f64 -2 (/.f64 (log.f64 (/.f64 1 z)) t)) (+.f64 (*.f64 1/2 (/.f64 (-.f64 (*.f64 4 (/.f64 1 y)) 4) (*.f64 t (pow.f64 z 2)))) (*.f64 2 (/.f64 1 (*.f64 t z))))))
(+.f64 (/.f64 (log.f64 (*.f64 y 1/2)) t) (fma.f64 -2 (/.f64 (neg.f64 (log.f64 z)) t) (fma.f64 1/2 (/.f64 (+.f64 (/.f64 4 y) -4) (*.f64 t (*.f64 z z))) (/.f64 2 (*.f64 z t)))))
(+.f64 (/.f64 (log.f64 (*.f64 y 1/2)) t) (fma.f64 -2 (/.f64 (neg.f64 (log.f64 z)) t) (fma.f64 1/2 (/.f64 (+.f64 (/.f64 4 y) -4) (*.f64 z (*.f64 z t))) (/.f64 2 (*.f64 z t)))))
(+.f64 (/.f64 2 (*.f64 z t)) (+.f64 (+.f64 (/.f64 (*.f64 2 (log.f64 z)) t) (/.f64 (/.f64 (+.f64 -2 (/.f64 2 y)) (*.f64 z z)) t)) (/.f64 (log.f64 (*.f64 y 1/2)) t)))
(+.f64 (/.f64 (log.f64 (*.f64 1/2 y)) t) (+.f64 (*.f64 -2 (/.f64 (log.f64 (/.f64 1 z)) t)) (+.f64 (*.f64 1/2 (/.f64 (-.f64 (*.f64 4 (/.f64 1 y)) 4) (*.f64 t (pow.f64 z 2)))) (+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (*.f64 1/6 (/.f64 (-.f64 16 (*.f64 24 (/.f64 1 y))) (*.f64 t (pow.f64 z 3))))))))
(+.f64 (/.f64 (log.f64 (*.f64 y 1/2)) t) (fma.f64 -2 (/.f64 (neg.f64 (log.f64 z)) t) (+.f64 (fma.f64 1/2 (/.f64 (+.f64 (/.f64 4 y) -4) (*.f64 t (*.f64 z z))) (/.f64 2 (*.f64 z t))) (*.f64 1/6 (/.f64 (-.f64 16 (/.f64 24 y)) (*.f64 t (pow.f64 z 3)))))))
(+.f64 (/.f64 (log.f64 (*.f64 y 1/2)) t) (fma.f64 -2 (/.f64 (neg.f64 (log.f64 z)) t) (fma.f64 1/2 (/.f64 (+.f64 (/.f64 4 y) -4) (*.f64 z (*.f64 z t))) (fma.f64 1/6 (/.f64 (-.f64 16 (/.f64 24 y)) (*.f64 t (pow.f64 z 3))) (/.f64 2 (*.f64 z t))))))
(+.f64 (/.f64 (log.f64 (*.f64 y 1/2)) t) (+.f64 (/.f64 (/.f64 (+.f64 -2 (/.f64 2 y)) (*.f64 z z)) t) (+.f64 (/.f64 2 (*.f64 z t)) (+.f64 (/.f64 (+.f64 8/3 (/.f64 -4 y)) (*.f64 t (pow.f64 z 3))) (/.f64 (*.f64 2 (log.f64 z)) t)))))
(/.f64 (+.f64 (log.f64 (*.f64 1/2 y)) (*.f64 -2 (log.f64 (/.f64 -1 z)))) t)
(/.f64 (+.f64 (log.f64 (*.f64 y 1/2)) (*.f64 -2 (log.f64 (/.f64 -1 z)))) t)
(/.f64 (fma.f64 -2 (log.f64 (/.f64 -1 z)) (log.f64 (*.f64 y 1/2))) t)
(+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (+.f64 (/.f64 (log.f64 (*.f64 1/2 y)) t) (*.f64 -2 (/.f64 (log.f64 (/.f64 -1 z)) t))))
(+.f64 (/.f64 2 (*.f64 z t)) (+.f64 (/.f64 (log.f64 (*.f64 y 1/2)) t) (*.f64 -2 (/.f64 (log.f64 (/.f64 -1 z)) t))))
(+.f64 (/.f64 2 (*.f64 z t)) (fma.f64 -2 (/.f64 (log.f64 (/.f64 -1 z)) t) (/.f64 (log.f64 (*.f64 y 1/2)) t)))
(+.f64 (/.f64 (log.f64 (*.f64 1/2 y)) t) (+.f64 (*.f64 -2 (/.f64 (log.f64 (/.f64 -1 z)) t)) (+.f64 (*.f64 1/2 (/.f64 (-.f64 (*.f64 4 (/.f64 1 y)) 4) (*.f64 t (pow.f64 z 2)))) (*.f64 2 (/.f64 1 (*.f64 t z))))))
(+.f64 (/.f64 (log.f64 (*.f64 y 1/2)) t) (fma.f64 -2 (/.f64 (log.f64 (/.f64 -1 z)) t) (fma.f64 1/2 (/.f64 (+.f64 (/.f64 4 y) -4) (*.f64 t (*.f64 z z))) (/.f64 2 (*.f64 z t)))))
(+.f64 (/.f64 (log.f64 (*.f64 y 1/2)) t) (fma.f64 -2 (/.f64 (log.f64 (/.f64 -1 z)) t) (fma.f64 1/2 (/.f64 (+.f64 (/.f64 4 y) -4) (*.f64 z (*.f64 z t))) (/.f64 2 (*.f64 z t)))))
(+.f64 (/.f64 2 (*.f64 z t)) (+.f64 (/.f64 (log.f64 (*.f64 y 1/2)) t) (fma.f64 -2 (/.f64 (log.f64 (/.f64 -1 z)) t) (/.f64 (/.f64 (+.f64 -2 (/.f64 2 y)) (*.f64 z z)) t))))
(+.f64 (/.f64 (log.f64 (*.f64 1/2 y)) t) (+.f64 (*.f64 -2 (/.f64 (log.f64 (/.f64 -1 z)) t)) (+.f64 (*.f64 1/2 (/.f64 (-.f64 (*.f64 4 (/.f64 1 y)) 4) (*.f64 t (pow.f64 z 2)))) (+.f64 (*.f64 -1/6 (/.f64 (-.f64 (*.f64 24 (/.f64 1 y)) 16) (*.f64 t (pow.f64 z 3)))) (*.f64 2 (/.f64 1 (*.f64 t z)))))))
(+.f64 (/.f64 (log.f64 (*.f64 y 1/2)) t) (fma.f64 -2 (/.f64 (log.f64 (/.f64 -1 z)) t) (fma.f64 1/2 (/.f64 (+.f64 (/.f64 4 y) -4) (*.f64 t (*.f64 z z))) (fma.f64 -1/6 (/.f64 (+.f64 (/.f64 24 y) -16) (*.f64 t (pow.f64 z 3))) (/.f64 2 (*.f64 z t))))))
(+.f64 (/.f64 (log.f64 (*.f64 y 1/2)) t) (fma.f64 -2 (/.f64 (log.f64 (/.f64 -1 z)) t) (fma.f64 1/2 (/.f64 (+.f64 (/.f64 4 y) -4) (*.f64 z (*.f64 z t))) (fma.f64 -1/6 (/.f64 (+.f64 (/.f64 24 y) -16) (*.f64 t (pow.f64 z 3))) (/.f64 2 (*.f64 z t))))))
(+.f64 (/.f64 (/.f64 (+.f64 -2 (/.f64 2 y)) (*.f64 z z)) t) (+.f64 (+.f64 (/.f64 2 (*.f64 z t)) (/.f64 (+.f64 8/3 (/.f64 -4 y)) (*.f64 t (pow.f64 z 3)))) (fma.f64 -2 (/.f64 (log.f64 (/.f64 -1 z)) t) (/.f64 (log.f64 (*.f64 y 1/2)) t))))
(/.f64 (*.f64 (+.f64 1 (*.f64 1/2 z)) (*.f64 y z)) t)
(/.f64 (+.f64 1 (*.f64 z 1/2)) (/.f64 t (*.f64 y z)))
(*.f64 (/.f64 (fma.f64 z 1/2 1) t) (*.f64 y z))
(*.f64 (*.f64 (/.f64 z t) y) (fma.f64 z 1/2 1))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 (+.f64 1 (*.f64 1/2 z)) 2) (*.f64 (pow.f64 y 2) (pow.f64 z 2))) t)) (/.f64 (*.f64 (+.f64 1 (*.f64 1/2 z)) (*.f64 y z)) t))
(fma.f64 -1/2 (/.f64 (pow.f64 (+.f64 1 (*.f64 z 1/2)) 2) (/.f64 t (*.f64 (*.f64 z z) (*.f64 y y)))) (/.f64 (+.f64 1 (*.f64 z 1/2)) (/.f64 t (*.f64 y z))))
(fma.f64 -1/2 (*.f64 (/.f64 (pow.f64 (fma.f64 z 1/2 1) 2) t) (*.f64 (*.f64 y z) (*.f64 y z))) (*.f64 (/.f64 (fma.f64 z 1/2 1) t) (*.f64 y z)))
(fma.f64 -1/2 (*.f64 (/.f64 (pow.f64 (fma.f64 z 1/2 1) 2) t) (*.f64 (*.f64 y z) (*.f64 y z))) (*.f64 (*.f64 (/.f64 z t) y) (fma.f64 z 1/2 1)))
(+.f64 (*.f64 1/3 (/.f64 (*.f64 (pow.f64 (+.f64 1 (*.f64 1/2 z)) 3) (*.f64 (pow.f64 y 3) (pow.f64 z 3))) t)) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 (+.f64 1 (*.f64 1/2 z)) 2) (*.f64 (pow.f64 y 2) (pow.f64 z 2))) t)) (/.f64 (*.f64 (+.f64 1 (*.f64 1/2 z)) (*.f64 y z)) t)))
(fma.f64 1/3 (/.f64 (pow.f64 (+.f64 1 (*.f64 z 1/2)) 3) (/.f64 t (*.f64 (pow.f64 y 3) (pow.f64 z 3)))) (fma.f64 -1/2 (/.f64 (pow.f64 (+.f64 1 (*.f64 z 1/2)) 2) (/.f64 t (*.f64 (*.f64 z z) (*.f64 y y)))) (/.f64 (+.f64 1 (*.f64 z 1/2)) (/.f64 t (*.f64 y z)))))
(fma.f64 1/3 (*.f64 (/.f64 (pow.f64 (fma.f64 z 1/2 1) 3) t) (*.f64 (pow.f64 y 3) (pow.f64 z 3))) (fma.f64 -1/2 (*.f64 (/.f64 (pow.f64 (fma.f64 z 1/2 1) 2) t) (*.f64 (*.f64 y z) (*.f64 y z))) (*.f64 (/.f64 (fma.f64 z 1/2 1) t) (*.f64 y z))))
(fma.f64 1/3 (*.f64 (/.f64 (pow.f64 (fma.f64 z 1/2 1) 3) t) (*.f64 (pow.f64 y 3) (pow.f64 z 3))) (fma.f64 -1/2 (*.f64 (/.f64 (pow.f64 (fma.f64 z 1/2 1) 2) t) (*.f64 (*.f64 y z) (*.f64 y z))) (*.f64 (*.f64 (/.f64 z t) y) (fma.f64 z 1/2 1))))
(+.f64 (*.f64 -1/4 (/.f64 (*.f64 (pow.f64 (+.f64 1 (*.f64 1/2 z)) 4) (*.f64 (pow.f64 y 4) (pow.f64 z 4))) t)) (+.f64 (*.f64 1/3 (/.f64 (*.f64 (pow.f64 (+.f64 1 (*.f64 1/2 z)) 3) (*.f64 (pow.f64 y 3) (pow.f64 z 3))) t)) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 (+.f64 1 (*.f64 1/2 z)) 2) (*.f64 (pow.f64 y 2) (pow.f64 z 2))) t)) (/.f64 (*.f64 (+.f64 1 (*.f64 1/2 z)) (*.f64 y z)) t))))
(fma.f64 -1/4 (/.f64 (pow.f64 (+.f64 1 (*.f64 z 1/2)) 4) (/.f64 t (*.f64 (pow.f64 y 4) (pow.f64 z 4)))) (fma.f64 1/3 (/.f64 (pow.f64 (+.f64 1 (*.f64 z 1/2)) 3) (/.f64 t (*.f64 (pow.f64 y 3) (pow.f64 z 3)))) (fma.f64 -1/2 (/.f64 (pow.f64 (+.f64 1 (*.f64 z 1/2)) 2) (/.f64 t (*.f64 (*.f64 z z) (*.f64 y y)))) (/.f64 (+.f64 1 (*.f64 z 1/2)) (/.f64 t (*.f64 y z))))))
(fma.f64 -1/4 (*.f64 (/.f64 (pow.f64 (fma.f64 z 1/2 1) 4) t) (*.f64 (pow.f64 y 4) (pow.f64 z 4))) (fma.f64 1/3 (*.f64 (/.f64 (pow.f64 (fma.f64 z 1/2 1) 3) t) (*.f64 (pow.f64 y 3) (pow.f64 z 3))) (fma.f64 -1/2 (*.f64 (/.f64 (pow.f64 (fma.f64 z 1/2 1) 2) t) (*.f64 (*.f64 y z) (*.f64 y z))) (*.f64 (/.f64 (fma.f64 z 1/2 1) t) (*.f64 y z)))))
(fma.f64 -1/4 (*.f64 (/.f64 (pow.f64 (fma.f64 z 1/2 1) 4) t) (*.f64 (pow.f64 y 4) (pow.f64 z 4))) (fma.f64 1/3 (*.f64 (/.f64 (pow.f64 (fma.f64 z 1/2 1) 3) t) (*.f64 (pow.f64 y 3) (pow.f64 z 3))) (fma.f64 -1/2 (*.f64 (/.f64 (pow.f64 (fma.f64 z 1/2 1) 2) t) (*.f64 (*.f64 y z) (*.f64 y z))) (*.f64 (*.f64 (/.f64 z t) y) (fma.f64 z 1/2 1)))))
(/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 y))) (log.f64 (*.f64 (+.f64 1 (*.f64 1/2 z)) z))) t)
(/.f64 (fma.f64 -1 (neg.f64 (log.f64 y)) (log.f64 (*.f64 z (+.f64 1 (*.f64 z 1/2))))) t)
(/.f64 (+.f64 (log.f64 (*.f64 z (fma.f64 z 1/2 1))) (log.f64 y)) t)
(+.f64 (/.f64 1 (*.f64 (+.f64 1 (*.f64 1/2 z)) (*.f64 y (*.f64 t z)))) (+.f64 (/.f64 (log.f64 (*.f64 (+.f64 1 (*.f64 1/2 z)) z)) t) (*.f64 -1 (/.f64 (log.f64 (/.f64 1 y)) t))))
(+.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 1 (*.f64 z 1/2)) (*.f64 y (*.f64 z t)))) (/.f64 (log.f64 (*.f64 z (+.f64 1 (*.f64 z 1/2)))) t)) (/.f64 (neg.f64 (neg.f64 (log.f64 y))) t))
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(-.f64 (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 (*.f64 z (fma.f64 -1/2 z -1)))) (+.f64 (/.f64 1/2 (*.f64 (*.f64 y y) (*.f64 (*.f64 z z) (pow.f64 (fma.f64 -1/2 z -1) 2)))) (+.f64 (/.f64 1 (*.f64 (*.f64 y z) (fma.f64 -1/2 z -1))) (/.f64 1/3 (*.f64 (*.f64 (pow.f64 y 3) (pow.f64 z 3)) (pow.f64 (fma.f64 -1/2 z -1) 3))))))
(-.f64 (-.f64 (log.f64 (*.f64 z (fma.f64 z -1/2 -1))) (log.f64 (/.f64 -1 y))) (+.f64 (/.f64 1/2 (*.f64 (*.f64 (*.f64 y z) (*.f64 y z)) (pow.f64 (fma.f64 z -1/2 -1) 2))) (+.f64 (/.f64 1 (*.f64 (*.f64 y z) (fma.f64 z -1/2 -1))) (/.f64 (/.f64 1/3 (*.f64 (pow.f64 y 3) (pow.f64 z 3))) (pow.f64 (fma.f64 z -1/2 -1) 3)))))
(-.f64 (log.f64 (*.f64 z (fma.f64 z -1/2 -1))) (+.f64 (log.f64 (/.f64 -1 y)) (+.f64 (/.f64 1 (*.f64 (*.f64 y z) (fma.f64 z -1/2 -1))) (+.f64 (/.f64 1/2 (*.f64 (*.f64 (*.f64 y z) (*.f64 y z)) (pow.f64 (fma.f64 z -1/2 -1) 2))) (/.f64 1/3 (*.f64 (*.f64 (pow.f64 y 3) (pow.f64 z 3)) (pow.f64 (fma.f64 z -1/2 -1) 3)))))))

localize16.0ms (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)

series7.0ms (0%)

Counts
2 → 84
Calls

21 calls:

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

rewrite142.0ms (0.6%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01225
124725
2317625
Stop Event
1×node limit
Counts
2 → 204
Calls
Call 1
Inputs
(*.f64 (/.f64 1 t) (log1p.f64 (*.f64 y (expm1.f64 z))))
(-.f64 x (*.f64 (/.f64 1 t) (log1p.f64 (*.f64 y (expm1.f64 z)))))
Outputs
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simplify122.0ms (0.5%)

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))))))
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(-.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))

eval1.3s (5.6%)

Compiler

Compiled 40045 to 17817 computations (55.5% saved)

prune306.0ms (1.3%)

Pruning

23 alts after pruning (19 fresh and 4 done)

PrunedKeptTotal
New1238181256
Fresh617
Picked101
Done145
Total1246231269
Error
0.2b
Counts
1269 → 23
Alt Table
Click to see full alt table
StatusErrorProgram
15.8b
x
✓17.0b
(-.f64 x (*.f64 (/.f64 y t) z))
62.7b
(-.f64 x (/.f64 (+.f64 (log.f64 (*.f64 y 1/2)) (+.f64 (/.f64 2 z) (+.f64 (/.f64 (+.f64 -2 (/.f64 2 y)) (*.f64 z z)) (*.f64 2 (log.f64 z))))) t))
0.6b
(fma.f64 (/.f64 -1 t) (log1p.f64 (*.f64 y (expm1.f64 z))) x)
✓15.0b
(-.f64 x (/.f64 (log1p.f64 (*.f64 z (+.f64 (*.f64 y (*.f64 1/2 z)) y))) t))
▶47.3b
(/.f64 (neg.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) t)
0.6b
(-.f64 x (*.f64 (/.f64 1 t) (expm1.f64 (log1p.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))))))
14.5b
(-.f64 x (/.f64 1 (/.f64 t (*.f64 y z))))
22.0b
(-.f64 x (*.f64 (/.f64 1 t) (exp.f64 (log.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))))))
15.1b
(-.f64 x (*.f64 (/.f64 1 t) (log1p.f64 (*.f64 z (+.f64 (*.f64 y (*.f64 1/2 z)) y)))))
0.6b
(-.f64 x (/.f64 (/.f64 1 t) (/.f64 1 (log1p.f64 (*.f64 y (expm1.f64 z))))))
✓6.5b
(-.f64 x (*.f64 (/.f64 (expm1.f64 z) t) y))
14.5b
(-.f64 x (*.f64 (/.f64 1 t) (*.f64 z y)))
10.5b
(-.f64 x (/.f64 (log1p.f64 (*.f64 y z)) t))
11.4b
(-.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))
14.5b
(-.f64 x (/.f64 (*.f64 z y) t))
▶14.7b
(-.f64 x (*.f64 (/.f64 z t) y))
63.2b
(-.f64 x (/.f64 (+.f64 (log.f64 (*.f64 y 1/2)) (+.f64 (+.f64 (/.f64 2 z) (/.f64 (+.f64 -2 (/.f64 2 y)) (*.f64 z z))) (+.f64 (*.f64 2 (log.f64 z)) (/.f64 (+.f64 8/3 (/.f64 -4 y)) (pow.f64 z 3))))) t))
▶17.0b
(-.f64 x (/.f64 (*.f64 (+.f64 1 (*.f64 1/2 z)) (*.f64 y z)) t))
53.3b
(*.f64 (expm1.f64 z) (/.f64 (neg.f64 y) t))
▶0.6b
(-.f64 x (/.f64 1 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z))))))
▶56.2b
(-.f64 x (/.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 1 (*.f64 1/2 z)) (*.f64 y z))) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 y))) (log.f64 (*.f64 (+.f64 1 (*.f64 1/2 z)) z)))) t))
Compiler

Compiled 713 to 518 computations (27.3% saved)

localize17.0ms (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)))
✓0.3b
(/.f64 1 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))))
3.0b
(/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z))))
Compiler

Compiled 47 to 14 computations (70.2% saved)

series4.0ms (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
t
@0
(/.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
y
@0
(/.f64 1 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))))

rewrite76.0ms (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)))))))

simplify70.0ms (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)

localize8.0ms (0%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓4.8b
(*.f64 (/.f64 z t) y)
Compiler

Compiled 23 to 7 computations (69.6% saved)

series4.0ms (0%)

Counts
1 → 36
Calls

9 calls:

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

rewrite75.0ms (0.3%)

Algorithm
1×batch-egg-rewrite
Rules
682×pow1_binary64
629×add-log-exp_binary64
629×log1p-expm1-u_binary64
629×expm1-log1p-u_binary64
614×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
11257
216757
Stop Event
1×node limit
Counts
1 → 23
Calls
Call 1
Inputs
(*.f64 (/.f64 z t) y)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (/.f64 z t) y)) 1)))) (#(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 1 (/.f64 t (*.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 z y) t)))) (#(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) 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 (*.f64 z y) (sqrt.f64 t)) (sqrt.f64 t))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 z) y) (neg.f64 t))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (neg.f64 z)) (neg.f64 t))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 z t) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 z t) y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 z t) y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 z t) y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (/.f64 z t) y) 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 (/.f64 z t) y) 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 cbrt.f64 (*.f64 (pow.f64 y 3) (pow.f64 (/.f64 z t) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 z t) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 z t) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 z t) y)))))))

simplify24.0ms (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
59 → 25
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))

localize25.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(*.f64 (+.f64 1 (*.f64 1/2 z)) (*.f64 y z))
✓5.2b
(/.f64 (*.f64 (+.f64 1 (*.f64 1/2 z)) (*.f64 y z)) t)
Compiler

Compiled 54 to 31 computations (42.6% saved)

series9.0ms (0%)

Counts
2 → 24
Calls

15 calls:

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

rewrite79.0ms (0.3%)

Algorithm
1×batch-egg-rewrite
Rules
622×log-prod_binary64
409×pow-prod-down_binary64
298×pow2_binary64
282×fma-def_binary64
269×prod-diff_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01129
123125
2313725
Stop Event
1×node limit
Counts
2 → 110
Calls
Call 1
Inputs
(/.f64 (*.f64 (+.f64 1 (*.f64 1/2 z)) (*.f64 y z)) t)
(*.f64 (+.f64 1 (*.f64 1/2 z)) (*.f64 y z))
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 z y) (*.f64 (*.f64 1/2 z) (*.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 z y) (*.f64 (*.f64 z y) (*.f64 1/2 z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 z (*.f64 (fma.f64 1/2 z 1) y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 1/2 z) (*.f64 z y)) (*.f64 z y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 z y) (*.f64 1/2 z)) (*.f64 z y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 1/2 z 1)) (*.f64 z y))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 1/2 z 1)) (*.f64 z y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 1/2 z 1)) (*.f64 z y)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 1/2 z 1)) (*.f64 z y)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 z (*.f64 (fma.f64 1/2 z 1) y)))) 1)))) (#(struct:change 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(*.f64 z (*.f64 (fma.f64 1/2 z 1) y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 z (*.f64 (fma.f64 1/2 z 1) y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (fma.f64 1/2 z 1)) (*.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 z (*.f64 (fma.f64 1/2 z 1) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 z (*.f64 (fma.f64 1/2 z 1) y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 z (*.f64 (fma.f64 1/2 z 1) y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 z (*.f64 (fma.f64 1/2 z 1) y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 z (*.f64 (fma.f64 1/2 z 1) y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 z (*.f64 (fma.f64 1/2 z 1) y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 z y) (*.f64 (*.f64 1/2 z) (*.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 z y) (*.f64 (*.f64 z y) (*.f64 1/2 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 z y (*.f64 (*.f64 1/2 z) (*.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 z y (*.f64 (*.f64 z y) (*.f64 1/2 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/2 z) (*.f64 z y) (*.f64 z y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y z (*.f64 (*.f64 1/2 z) (*.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y z (*.f64 (*.f64 z y) (*.f64 1/2 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 z y) 1 (*.f64 (*.f64 1/2 z) (*.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 z y) 1 (*.f64 (*.f64 z y) (*.f64 1/2 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 z y) (*.f64 1/2 z) (*.f64 z y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 z y)) (pow.f64 (cbrt.f64 (*.f64 z y)) 2) (*.f64 (*.f64 1/2 z) (*.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 z y)) (pow.f64 (cbrt.f64 (*.f64 z y)) 2) (*.f64 (*.f64 z y) (*.f64 1/2 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 z y)) 2) (cbrt.f64 (*.f64 z y)) (*.f64 (*.f64 1/2 z) (*.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 z y)) 2) (cbrt.f64 (*.f64 z y)) (*.f64 (*.f64 z y) (*.f64 1/2 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) z) (*.f64 (*.f64 1/2 z) (*.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) z) (*.f64 (*.f64 z y) (*.f64 1/2 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 z) 2) (*.f64 (cbrt.f64 z) y) (*.f64 (*.f64 1/2 z) (*.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 z) 2) (*.f64 (cbrt.f64 z) y) (*.f64 (*.f64 z y) (*.f64 1/2 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 z y)) (sqrt.f64 (*.f64 z y)) (*.f64 (*.f64 1/2 z) (*.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 z y)) (sqrt.f64 (*.f64 z y)) (*.f64 (*.f64 z y) (*.f64 1/2 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) z) (*.f64 (*.f64 1/2 z) (*.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) z) (*.f64 (*.f64 z y) (*.f64 1/2 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) y) (*.f64 (*.f64 1/2 z) (*.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) y) (*.f64 (*.f64 z y) (*.f64 1/2 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 z (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) (*.f64 (*.f64 1/2 z) (*.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 z (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) (*.f64 (*.f64 z y) (*.f64 1/2 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 z (sqrt.f64 y)) (sqrt.f64 y) (*.f64 (*.f64 1/2 z) (*.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 z (sqrt.f64 y)) (sqrt.f64 y) (*.f64 (*.f64 z y) (*.f64 1/2 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z) (*.f64 (*.f64 1/2 z) (*.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z) (*.f64 (*.f64 z y) (*.f64 1/2 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y (sqrt.f64 z)) (sqrt.f64 z) (*.f64 (*.f64 1/2 z) (*.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y (sqrt.f64 z)) (sqrt.f64 z) (*.f64 (*.f64 z y) (*.f64 1/2 z)))))))

simplify100.0ms (0.4%)

Algorithm
1×egg-herbie
Rules
817×distribute-rgt-out_binary64
752×distribute-lft-in_binary64
614×associate-/r/_binary64
421×associate-/l/_binary64
410×fma-def_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
015381
134363
270354
3177282
4577282
52258282
64798282
76292282
86967282
97829282
Stop Event
1×node limit
Counts
134 → 121
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 (*.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 (*.f64 y (pow.f64 z 2)) t)))
(*.f64 1/2 (/.f64 (*.f64 y (pow.f64 z 2)) 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 (*.f64 y (pow.f64 z 2)) t)))
(+.f64 (/.f64 (*.f64 y z) t) (*.f64 1/2 (/.f64 (*.f64 y (pow.f64 z 2)) t)))
(*.f64 1/2 (/.f64 (*.f64 y (pow.f64 z 2)) 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 (*.f64 y (pow.f64 z 2)) t)))
(+.f64 (/.f64 (*.f64 y z) t) (*.f64 1/2 (/.f64 (*.f64 y (pow.f64 z 2)) t)))
(*.f64 y z)
(+.f64 (*.f64 y z) (*.f64 1/2 (*.f64 y (pow.f64 z 2))))
(+.f64 (*.f64 y z) (*.f64 1/2 (*.f64 y (pow.f64 z 2))))
(+.f64 (*.f64 y z) (*.f64 1/2 (*.f64 y (pow.f64 z 2))))
(*.f64 1/2 (*.f64 y (pow.f64 z 2)))
(+.f64 (*.f64 y z) (*.f64 1/2 (*.f64 y (pow.f64 z 2))))
(+.f64 (*.f64 y z) (*.f64 1/2 (*.f64 y (pow.f64 z 2))))
(+.f64 (*.f64 y z) (*.f64 1/2 (*.f64 y (pow.f64 z 2))))
(*.f64 1/2 (*.f64 y (pow.f64 z 2)))
(+.f64 (*.f64 y z) (*.f64 1/2 (*.f64 y (pow.f64 z 2))))
(+.f64 (*.f64 y z) (*.f64 1/2 (*.f64 y (pow.f64 z 2))))
(+.f64 (*.f64 y z) (*.f64 1/2 (*.f64 y (pow.f64 z 2))))
Outputs
(/.f64 (*.f64 y z) t)
(/.f64 y (/.f64 t z))
(*.f64 (/.f64 y t) z)
(/.f64 z (/.f64 t y))
(*.f64 y (/.f64 z t))
(+.f64 (/.f64 (*.f64 y z) t) (*.f64 1/2 (/.f64 (*.f64 y (pow.f64 z 2)) t)))
(+.f64 (/.f64 y (/.f64 t z)) (/.f64 (*.f64 (*.f64 1/2 y) (*.f64 z z)) t))
(fma.f64 1/2 (*.f64 (/.f64 y t) (*.f64 z z)) (*.f64 (/.f64 y t) z))
(fma.f64 1/2 (*.f64 (/.f64 (*.f64 y z) t) z) (/.f64 (*.f64 y z) t))
(*.f64 (/.f64 y t) (fma.f64 z (*.f64 z 1/2) z))
(*.f64 (/.f64 y t) (*.f64 z (fma.f64 z 1/2 1)))
(*.f64 z (*.f64 (/.f64 y t) (fma.f64 z 1/2 1)))
(+.f64 (/.f64 (*.f64 y z) t) (*.f64 1/2 (/.f64 (*.f64 y (pow.f64 z 2)) t)))
(+.f64 (/.f64 y (/.f64 t z)) (/.f64 (*.f64 (*.f64 1/2 y) (*.f64 z z)) t))
(fma.f64 1/2 (*.f64 (/.f64 y t) (*.f64 z z)) (*.f64 (/.f64 y t) z))
(fma.f64 1/2 (*.f64 (/.f64 (*.f64 y z) t) z) (/.f64 (*.f64 y z) t))
(*.f64 (/.f64 y t) (fma.f64 z (*.f64 z 1/2) z))
(*.f64 (/.f64 y t) (*.f64 z (fma.f64 z 1/2 1)))
(*.f64 z (*.f64 (/.f64 y t) (fma.f64 z 1/2 1)))
(+.f64 (/.f64 (*.f64 y z) t) (*.f64 1/2 (/.f64 (*.f64 y (pow.f64 z 2)) t)))
(+.f64 (/.f64 y (/.f64 t z)) (/.f64 (*.f64 (*.f64 1/2 y) (*.f64 z z)) t))
(fma.f64 1/2 (*.f64 (/.f64 y t) (*.f64 z z)) (*.f64 (/.f64 y t) z))
(fma.f64 1/2 (*.f64 (/.f64 (*.f64 y z) t) z) (/.f64 (*.f64 y z) t))
(*.f64 (/.f64 y t) (fma.f64 z (*.f64 z 1/2) z))
(*.f64 (/.f64 y t) (*.f64 z (fma.f64 z 1/2 1)))
(*.f64 z (*.f64 (/.f64 y t) (fma.f64 z 1/2 1)))
(*.f64 1/2 (/.f64 (*.f64 y (pow.f64 z 2)) t))
(/.f64 (*.f64 (*.f64 1/2 y) (*.f64 z z)) t)
(/.f64 (*.f64 y 1/2) (/.f64 (/.f64 t z) z))
(*.f64 1/2 (*.f64 (/.f64 (*.f64 y z) t) z))
(*.f64 (/.f64 z (/.f64 t y)) (*.f64 z 1/2))
(*.f64 y (/.f64 z (/.f64 (/.f64 t 1/2) z)))
(*.f64 y (*.f64 (/.f64 z t) (*.f64 z 1/2)))
(+.f64 (/.f64 (*.f64 y z) t) (*.f64 1/2 (/.f64 (*.f64 y (pow.f64 z 2)) t)))
(+.f64 (/.f64 y (/.f64 t z)) (/.f64 (*.f64 (*.f64 1/2 y) (*.f64 z z)) t))
(fma.f64 1/2 (*.f64 (/.f64 y t) (*.f64 z z)) (*.f64 (/.f64 y t) z))
(fma.f64 1/2 (*.f64 (/.f64 (*.f64 y z) t) z) (/.f64 (*.f64 y z) t))
(*.f64 (/.f64 y t) (fma.f64 z (*.f64 z 1/2) z))
(*.f64 (/.f64 y t) (*.f64 z (fma.f64 z 1/2 1)))
(*.f64 z (*.f64 (/.f64 y t) (fma.f64 z 1/2 1)))
(+.f64 (/.f64 (*.f64 y z) t) (*.f64 1/2 (/.f64 (*.f64 y (pow.f64 z 2)) t)))
(+.f64 (/.f64 y (/.f64 t z)) (/.f64 (*.f64 (*.f64 1/2 y) (*.f64 z z)) t))
(fma.f64 1/2 (*.f64 (/.f64 y t) (*.f64 z z)) (*.f64 (/.f64 y t) z))
(fma.f64 1/2 (*.f64 (/.f64 (*.f64 y z) t) z) (/.f64 (*.f64 y z) t))
(*.f64 (/.f64 y t) (fma.f64 z (*.f64 z 1/2) z))
(*.f64 (/.f64 y t) (*.f64 z (fma.f64 z 1/2 1)))
(*.f64 z (*.f64 (/.f64 y t) (fma.f64 z 1/2 1)))
(+.f64 (/.f64 (*.f64 y z) t) (*.f64 1/2 (/.f64 (*.f64 y (pow.f64 z 2)) t)))
(+.f64 (/.f64 y (/.f64 t z)) (/.f64 (*.f64 (*.f64 1/2 y) (*.f64 z z)) t))
(fma.f64 1/2 (*.f64 (/.f64 y t) (*.f64 z z)) (*.f64 (/.f64 y t) z))
(fma.f64 1/2 (*.f64 (/.f64 (*.f64 y z) t) z) (/.f64 (*.f64 y z) t))
(*.f64 (/.f64 y t) (fma.f64 z (*.f64 z 1/2) z))
(*.f64 (/.f64 y t) (*.f64 z (fma.f64 z 1/2 1)))
(*.f64 z (*.f64 (/.f64 y t) (fma.f64 z 1/2 1)))
(*.f64 1/2 (/.f64 (*.f64 y (pow.f64 z 2)) t))
(/.f64 (*.f64 (*.f64 1/2 y) (*.f64 z z)) t)
(/.f64 (*.f64 y 1/2) (/.f64 (/.f64 t z) z))
(*.f64 1/2 (*.f64 (/.f64 (*.f64 y z) t) z))
(*.f64 (/.f64 z (/.f64 t y)) (*.f64 z 1/2))
(*.f64 y (/.f64 z (/.f64 (/.f64 t 1/2) z)))
(*.f64 y (*.f64 (/.f64 z t) (*.f64 z 1/2)))
(+.f64 (/.f64 (*.f64 y z) t) (*.f64 1/2 (/.f64 (*.f64 y (pow.f64 z 2)) t)))
(+.f64 (/.f64 y (/.f64 t z)) (/.f64 (*.f64 (*.f64 1/2 y) (*.f64 z z)) t))
(fma.f64 1/2 (*.f64 (/.f64 y t) (*.f64 z z)) (*.f64 (/.f64 y t) z))
(fma.f64 1/2 (*.f64 (/.f64 (*.f64 y z) t) z) (/.f64 (*.f64 y z) t))
(*.f64 (/.f64 y t) (fma.f64 z (*.f64 z 1/2) z))
(*.f64 (/.f64 y t) (*.f64 z (fma.f64 z 1/2 1)))
(*.f64 z (*.f64 (/.f64 y t) (fma.f64 z 1/2 1)))
(+.f64 (/.f64 (*.f64 y z) t) (*.f64 1/2 (/.f64 (*.f64 y (pow.f64 z 2)) t)))
(+.f64 (/.f64 y (/.f64 t z)) (/.f64 (*.f64 (*.f64 1/2 y) (*.f64 z z)) t))
(fma.f64 1/2 (*.f64 (/.f64 y t) (*.f64 z z)) (*.f64 (/.f64 y t) z))
(fma.f64 1/2 (*.f64 (/.f64 (*.f64 y z) t) z) (/.f64 (*.f64 y z) t))
(*.f64 (/.f64 y t) (fma.f64 z (*.f64 z 1/2) z))
(*.f64 (/.f64 y t) (*.f64 z (fma.f64 z 1/2 1)))
(*.f64 z (*.f64 (/.f64 y t) (fma.f64 z 1/2 1)))
(+.f64 (/.f64 (*.f64 y z) t) (*.f64 1/2 (/.f64 (*.f64 y (pow.f64 z 2)) t)))
(+.f64 (/.f64 y (/.f64 t z)) (/.f64 (*.f64 (*.f64 1/2 y) (*.f64 z z)) t))
(fma.f64 1/2 (*.f64 (/.f64 y t) (*.f64 z z)) (*.f64 (/.f64 y t) z))
(fma.f64 1/2 (*.f64 (/.f64 (*.f64 y z) t) z) (/.f64 (*.f64 y z) t))
(*.f64 (/.f64 y t) (fma.f64 z (*.f64 z 1/2) z))
(*.f64 (/.f64 y t) (*.f64 z (fma.f64 z 1/2 1)))
(*.f64 z (*.f64 (/.f64 y t) (fma.f64 z 1/2 1)))
(*.f64 y z)
(+.f64 (*.f64 y z) (*.f64 1/2 (*.f64 y (pow.f64 z 2))))
(fma.f64 y z (*.f64 (*.f64 1/2 y) (*.f64 z z)))
(fma.f64 y z (*.f64 y (*.f64 (*.f64 z z) 1/2)))
(*.f64 y (+.f64 z (*.f64 z (*.f64 z 1/2))))
(*.f64 z (fma.f64 y (*.f64 z 1/2) y))
(*.f64 y (*.f64 z (fma.f64 z 1/2 1)))
(+.f64 (*.f64 y z) (*.f64 1/2 (*.f64 y (pow.f64 z 2))))
(fma.f64 y z (*.f64 (*.f64 1/2 y) (*.f64 z z)))
(fma.f64 y z (*.f64 y (*.f64 (*.f64 z z) 1/2)))
(*.f64 y (+.f64 z (*.f64 z (*.f64 z 1/2))))
(*.f64 z (fma.f64 y (*.f64 z 1/2) y))
(*.f64 y (*.f64 z (fma.f64 z 1/2 1)))
(+.f64 (*.f64 y z) (*.f64 1/2 (*.f64 y (pow.f64 z 2))))
(fma.f64 y z (*.f64 (*.f64 1/2 y) (*.f64 z z)))
(fma.f64 y z (*.f64 y (*.f64 (*.f64 z z) 1/2)))
(*.f64 y (+.f64 z (*.f64 z (*.f64 z 1/2))))
(*.f64 z (fma.f64 y (*.f64 z 1/2) y))
(*.f64 y (*.f64 z (fma.f64 z 1/2 1)))
(*.f64 1/2 (*.f64 y (pow.f64 z 2)))
(*.f64 (*.f64 1/2 y) (*.f64 z z))
(*.f64 y (*.f64 (*.f64 z z) 1/2))
(*.f64 (*.f64 1/2 z) (*.f64 y z))
(*.f64 y (*.f64 z (*.f64 z 1/2)))
(*.f64 (*.f64 y z) (*.f64 z 1/2))
(+.f64 (*.f64 y z) (*.f64 1/2 (*.f64 y (pow.f64 z 2))))
(fma.f64 y z (*.f64 (*.f64 1/2 y) (*.f64 z z)))
(fma.f64 y z (*.f64 y (*.f64 (*.f64 z z) 1/2)))
(*.f64 y (+.f64 z (*.f64 z (*.f64 z 1/2))))
(*.f64 z (fma.f64 y (*.f64 z 1/2) y))
(*.f64 y (*.f64 z (fma.f64 z 1/2 1)))
(+.f64 (*.f64 y z) (*.f64 1/2 (*.f64 y (pow.f64 z 2))))
(fma.f64 y z (*.f64 (*.f64 1/2 y) (*.f64 z z)))
(fma.f64 y z (*.f64 y (*.f64 (*.f64 z z) 1/2)))
(*.f64 y (+.f64 z (*.f64 z (*.f64 z 1/2))))
(*.f64 z (fma.f64 y (*.f64 z 1/2) y))
(*.f64 y (*.f64 z (fma.f64 z 1/2 1)))
(+.f64 (*.f64 y z) (*.f64 1/2 (*.f64 y (pow.f64 z 2))))
(fma.f64 y z (*.f64 (*.f64 1/2 y) (*.f64 z z)))
(fma.f64 y z (*.f64 y (*.f64 (*.f64 z z) 1/2)))
(*.f64 y (+.f64 z (*.f64 z (*.f64 z 1/2))))
(*.f64 z (fma.f64 y (*.f64 z 1/2) y))
(*.f64 y (*.f64 z (fma.f64 z 1/2 1)))
(*.f64 1/2 (*.f64 y (pow.f64 z 2)))
(*.f64 (*.f64 1/2 y) (*.f64 z z))
(*.f64 y (*.f64 (*.f64 z z) 1/2))
(*.f64 (*.f64 1/2 z) (*.f64 y z))
(*.f64 y (*.f64 z (*.f64 z 1/2)))
(*.f64 (*.f64 y z) (*.f64 z 1/2))
(+.f64 (*.f64 y z) (*.f64 1/2 (*.f64 y (pow.f64 z 2))))
(fma.f64 y z (*.f64 (*.f64 1/2 y) (*.f64 z z)))
(fma.f64 y z (*.f64 y (*.f64 (*.f64 z z) 1/2)))
(*.f64 y (+.f64 z (*.f64 z (*.f64 z 1/2))))
(*.f64 z (fma.f64 y (*.f64 z 1/2) y))
(*.f64 y (*.f64 z (fma.f64 z 1/2 1)))
(+.f64 (*.f64 y z) (*.f64 1/2 (*.f64 y (pow.f64 z 2))))
(fma.f64 y z (*.f64 (*.f64 1/2 y) (*.f64 z z)))
(fma.f64 y z (*.f64 y (*.f64 (*.f64 z z) 1/2)))
(*.f64 y (+.f64 z (*.f64 z (*.f64 z 1/2))))
(*.f64 z (fma.f64 y (*.f64 z 1/2) y))
(*.f64 y (*.f64 z (fma.f64 z 1/2 1)))
(+.f64 (*.f64 y z) (*.f64 1/2 (*.f64 y (pow.f64 z 2))))
(fma.f64 y z (*.f64 (*.f64 1/2 y) (*.f64 z z)))
(fma.f64 y z (*.f64 y (*.f64 (*.f64 z z) 1/2)))
(*.f64 y (+.f64 z (*.f64 z (*.f64 z 1/2))))
(*.f64 z (fma.f64 y (*.f64 z 1/2) y))
(*.f64 y (*.f64 z (fma.f64 z 1/2 1)))

localize12.0ms (0.1%)

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))
✓3.1b
(/.f64 (neg.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) t)
Compiler

Compiled 32 to 9 computations (71.9% saved)

series9.0ms (0%)

Counts
3 → 84
Calls

21 calls:

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

rewrite70.0ms (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
0927
118425
2244725
Stop Event
1×node limit
Counts
3 → 77
Calls
Call 1
Inputs
(/.f64 (neg.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) t)
(log1p.f64 (*.f64 (expm1.f64 z) y))
(*.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))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 (expm1.f64 z) y) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (expm1.f64 z) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (expm1.f64 z) y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (expm1.f64 z) y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (expm1.f64 z) y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (expm1.f64 z) y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 y) (expm1.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (expm1.f64 z) y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (expm1.f64 z) 3) (pow.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 y 3) (pow.f64 (expm1.f64 z) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (expm1.f64 z) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (expm1.f64 z) y)))))))

simplify64.0ms (0.3%)

Algorithm
1×egg-herbie
Rules
813×fma-def_binary64
722×associate-*l*_binary64
720×associate-*r*_binary64
392×distribute-rgt-in_binary64
385×distribute-lft-in_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01681797
15241730
218141718
Stop Event
1×node limit
Counts
161 → 150
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)))))
(*.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)
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 (*.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 t (*.f64 z (*.f64 z (-.f64 y (*.f64 y y)))))) (*.f64 (/.f64 y t) z))
(-.f64 (*.f64 (/.f64 z (/.f64 t z)) (*.f64 (-.f64 y (*.f64 y y)) -1/2)) (*.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 -1/2 (*.f64 (/.f64 (*.f64 z z) t) (-.f64 y (*.f64 y y))) (/.f64 (*.f64 (*.f64 -1/6 (pow.f64 z 3)) (fma.f64 (*.f64 y y) -3 (fma.f64 2 (pow.f64 y 3) y))) t)) (*.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 z (/.f64 t z)) (*.f64 (-.f64 y (*.f64 y y)) -1/2))) (*.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 (*.f64 (pow.f64 z 4) (fma.f64 -3 (*.f64 y y) (+.f64 y (fma.f64 12 (pow.f64 y 3) (fma.f64 -4 (*.f64 y y) (*.f64 -6 (pow.f64 y 4))))))) 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)))))))
(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 -1/2 (*.f64 (/.f64 (*.f64 z z) t) (-.f64 y (*.f64 y y))) (/.f64 (*.f64 (*.f64 -1/6 (pow.f64 z 3)) (fma.f64 (*.f64 y y) -3 (fma.f64 2 (pow.f64 y 3) y))) t)) (*.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 z (/.f64 t z)) (*.f64 (-.f64 y (*.f64 y y)) -1/2)))) (*.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 (pow.f64 (expm1.f64 z) 2) t) (*.f64 y y)) (/.f64 (neg.f64 (expm1.f64 z)) (/.f64 t y)))
(fma.f64 1/2 (*.f64 (/.f64 (pow.f64 (expm1.f64 z) 2) t) (*.f64 y y)) (*.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)))))
(fma.f64 -1/3 (/.f64 (pow.f64 (expm1.f64 z) 3) (/.f64 t (pow.f64 y 3))) (fma.f64 1/2 (*.f64 (/.f64 (pow.f64 (expm1.f64 z) 2) t) (*.f64 y y)) (/.f64 (neg.f64 (expm1.f64 z)) (/.f64 t y))))
(-.f64 (fma.f64 1/2 (*.f64 (/.f64 (pow.f64 (expm1.f64 z) 2) t) (*.f64 y y)) (*.f64 -1/3 (*.f64 (/.f64 (pow.f64 y 3) t) (pow.f64 (expm1.f64 z) 3)))) (*.f64 (/.f64 y t) (expm1.f64 z)))
(+.f64 (*.f64 -1/3 (/.f64 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 3) (pow.f64 y 3)) t)) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (pow.f64 y 2)) t)) (+.f64 (*.f64 1/4 (/.f64 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 4) (pow.f64 y 4)) t)) (*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)))))
(fma.f64 -1/3 (/.f64 (pow.f64 (expm1.f64 z) 3) (/.f64 t (pow.f64 y 3))) (fma.f64 1/2 (/.f64 (pow.f64 (expm1.f64 z) 2) (/.f64 t (*.f64 y y))) (fma.f64 1/4 (/.f64 (pow.f64 (expm1.f64 z) 4) (/.f64 t (pow.f64 y 4))) (neg.f64 (/.f64 (expm1.f64 z) (/.f64 t y))))))
(fma.f64 -1/3 (/.f64 (pow.f64 (expm1.f64 z) 3) (/.f64 t (pow.f64 y 3))) (fma.f64 1/2 (*.f64 (/.f64 (pow.f64 (expm1.f64 z) 2) t) (*.f64 y y)) (fma.f64 1/4 (/.f64 (pow.f64 y 4) (/.f64 t (pow.f64 (expm1.f64 z) 4))) (/.f64 (neg.f64 (expm1.f64 z)) (/.f64 t y)))))
(-.f64 (fma.f64 -1/3 (*.f64 (/.f64 (pow.f64 y 3) t) (pow.f64 (expm1.f64 z) 3)) (fma.f64 1/2 (*.f64 (/.f64 (pow.f64 (expm1.f64 z) 2) t) (*.f64 y y)) (*.f64 1/4 (*.f64 (/.f64 (pow.f64 y 4) t) (pow.f64 (expm1.f64 z) 4))))) (*.f64 (/.f64 y t) (expm1.f64 z)))
(*.f64 -1 (/.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) t))
(neg.f64 (/.f64 (+.f64 (log.f64 (expm1.f64 z)) (neg.f64 (neg.f64 (log.f64 y)))) t))
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(+.f64 (+.f64 (log.f64 y) (/.f64 (/.f64 1 y) (expm1.f64 z))) (+.f64 (log.f64 (expm1.f64 z)) (/.f64 (/.f64 -1/2 (*.f64 y y)) (pow.f64 (expm1.f64 z) 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 (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 (log.f64 (expm1.f64 z)) (+.f64 (log.f64 y) (+.f64 (/.f64 1/3 (*.f64 (pow.f64 y 3) (pow.f64 (expm1.f64 z) 3))) (+.f64 (/.f64 (/.f64 1 y) (expm1.f64 z)) (/.f64 (/.f64 -1/2 (*.f64 y y)) (pow.f64 (expm1.f64 z) 2))))))
(+.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 (/.f64 -1/2 (*.f64 y 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 (log.f64 (neg.f64 (expm1.f64 z))) (-.f64 (/.f64 1/3 (*.f64 (pow.f64 y 3) (pow.f64 (expm1.f64 z) 3))) (log.f64 (/.f64 -1 y)))) (/.f64 1/2 (*.f64 y (*.f64 y (pow.f64 (expm1.f64 z) 2))))))
(*.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 1/2 (*.f64 y (*.f64 z z)) (*.f64 y z))
(*.f64 y (+.f64 z (*.f64 z (*.f64 z 1/2))))
(+.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 (*.f64 z z) (+.f64 (*.f64 y 1/2) (*.f64 y (*.f64 1/6 z)))))
(+.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 1/24 (*.f64 y (pow.f64 z 4)) (*.f64 y (*.f64 (pow.f64 z 3) 1/6)))))
(fma.f64 y z (fma.f64 y (*.f64 (pow.f64 z 4) 1/24) (*.f64 (*.f64 z z) (+.f64 (*.f64 y 1/2) (*.f64 y (*.f64 1/6 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 (-.f64 (exp.f64 z) 1) y)
(*.f64 y (expm1.f64 z))

localize114.0ms (0.5%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.2b
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 y))) (log.f64 (*.f64 (+.f64 1 (*.f64 1/2 z)) z)))
✓0.3b
(/.f64 1 (*.f64 (+.f64 1 (*.f64 1/2 z)) (*.f64 y z)))
✓1.5b
(/.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 1 (*.f64 1/2 z)) (*.f64 y z))) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 y))) (log.f64 (*.f64 (+.f64 1 (*.f64 1/2 z)) z)))) t)
✓8.2b
(log.f64 (*.f64 (+.f64 1 (*.f64 1/2 z)) z))
Compiler

Compiled 172 to 122 computations (29.1% saved)

series203.0ms (0.9%)

Counts
4 → 72
Calls

24 calls:

TimeVariablePointExpression
104.0ms
t
@inf
(/.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 1 (*.f64 1/2 z)) (*.f64 y z))) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 y))) (log.f64 (*.f64 (+.f64 1 (*.f64 1/2 z)) z)))) t)
29.0ms
t
@0
(/.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 1 (*.f64 1/2 z)) (*.f64 y z))) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 y))) (log.f64 (*.f64 (+.f64 1 (*.f64 1/2 z)) z)))) t)
17.0ms
y
@0
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 y))) (log.f64 (*.f64 (+.f64 1 (*.f64 1/2 z)) z)))
14.0ms
y
@-inf
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 y))) (log.f64 (*.f64 (+.f64 1 (*.f64 1/2 z)) z)))
8.0ms
y
@inf
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 y))) (log.f64 (*.f64 (+.f64 1 (*.f64 1/2 z)) z)))

rewrite183.0ms (0.8%)

Algorithm
1×batch-egg-rewrite
Rules
822×fma-def_binary64
403×fma-neg_binary64
343×expm1-udef_binary64
343×log1p-udef_binary64
219×add-sqr-sqrt_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02089
143669
2634469
Stop Event
1×node limit
Counts
4 → 146
Calls
Call 1
Inputs
(log.f64 (*.f64 (+.f64 1 (*.f64 1/2 z)) z))
(/.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 1 (*.f64 1/2 z)) (*.f64 y z))) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 y))) (log.f64 (*.f64 (+.f64 1 (*.f64 1/2 z)) z)))) t)
(/.f64 1 (*.f64 (+.f64 1 (*.f64 1/2 z)) (*.f64 y z)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 y))) (log.f64 (*.f64 (+.f64 1 (*.f64 1/2 z)) z)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log1p.f64 (*.f64 1/2 z)) (log.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log.f64 (*.f64 z (fma.f64 1/2 z 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 z) (log1p.f64 (*.f64 1/2 z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (*.f64 z (fma.f64 1/2 z 1)))) (log.f64 (sqrt.f64 (*.f64 z (fma.f64 1/2 z 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (*.f64 z (fma.f64 1/2 z 1))) 2)) (log.f64 (cbrt.f64 (*.f64 z (fma.f64 1/2 z 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log1p.f64 (*.f64 1/2 z)) 1) (*.f64 (log.f64 z) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (log.f64 (*.f64 z (fma.f64 1/2 z 1))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log.f64 (*.f64 z (fma.f64 1/2 z 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (*.f64 z (fma.f64 1/2 z 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log.f64 (*.f64 z (fma.f64 1/2 z 1)))) (pow.f64 (cbrt.f64 (log.f64 (*.f64 z (fma.f64 1/2 z 1)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 z (fma.f64 1/2 z 1)))) 2) (cbrt.f64 (log.f64 (*.f64 z (fma.f64 1/2 z 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 (*.f64 z (fma.f64 1/2 z 1)))) (sqrt.f64 (log.f64 (*.f64 z (fma.f64 1/2 z 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (log1p.f64 (*.f64 1/2 z)) 3) (pow.f64 (log.f64 z) 3)) (fma.f64 (log1p.f64 (*.f64 1/2 z)) (log1p.f64 (*.f64 1/2 z)) (-.f64 (*.f64 (log.f64 z) (log.f64 z)) (*.f64 (log1p.f64 (*.f64 1/2 z)) (log.f64 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (log1p.f64 (*.f64 1/2 z)) (log1p.f64 (*.f64 1/2 z))) (*.f64 (log.f64 z) (log.f64 z))) (-.f64 (log1p.f64 (*.f64 1/2 z)) (log.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 (*.f64 z (fma.f64 1/2 z 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log.f64 (*.f64 z (fma.f64 1/2 z 1)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log.f64 (*.f64 z (fma.f64 1/2 z 1)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 (*.f64 z (fma.f64 1/2 z 1))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log.f64 (*.f64 z (fma.f64 1/2 z 1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log.f64 (*.f64 z (fma.f64 1/2 z 1))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log.f64 (*.f64 z (fma.f64 1/2 z 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (fma.f64 z (fma.f64 1/2 z 1) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log.f64 (*.f64 z (fma.f64 1/2 z 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (log.f64 (*.f64 z (fma.f64 1/2 z 1)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (log1p.f64 (*.f64 1/2 z)) (log.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (log.f64 z) (log1p.f64 (*.f64 1/2 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (log1p.f64 (*.f64 1/2 z)) 1 (*.f64 (log.f64 z) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 (log1p.f64 (*.f64 1/2 z))) (cbrt.f64 (log1p.f64 (*.f64 1/2 z)))) (cbrt.f64 (log1p.f64 (*.f64 1/2 z))) (log.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 (log.f64 z)) (cbrt.f64 (log.f64 z))) (cbrt.f64 (log.f64 z)) (log1p.f64 (*.f64 1/2 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (log1p.f64 (*.f64 1/2 z))) (sqrt.f64 (log1p.f64 (*.f64 1/2 z))) (log.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (log.f64 z)) (sqrt.f64 (log.f64 z)) (log1p.f64 (*.f64 1/2 z)))))))
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simplify104.0ms (0.5%)

Algorithm
1×egg-herbie
Rules
702×sub-neg_binary64
694×fma-def_binary64
500×+-commutative_binary64
386×associate--l+_binary64
361×distribute-neg-frac_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02212312
16752108
220752075
360712057
Stop Event
1×node limit
Counts
218 → 250
Calls
Call 1
Inputs
(log.f64 z)
(+.f64 (log.f64 z) (*.f64 1/2 z))
(+.f64 (*.f64 -1/8 (pow.f64 z 2)) (+.f64 (log.f64 z) (*.f64 1/2 z)))
(+.f64 (*.f64 1/24 (pow.f64 z 3)) (+.f64 (*.f64 -1/8 (pow.f64 z 2)) (+.f64 (log.f64 z) (*.f64 1/2 z))))
(+.f64 (*.f64 -2 (log.f64 (/.f64 1 z))) (log.f64 1/2))
(+.f64 (*.f64 -2 (log.f64 (/.f64 1 z))) (+.f64 (log.f64 1/2) (*.f64 2 (/.f64 1 z))))
(-.f64 (+.f64 (*.f64 -2 (log.f64 (/.f64 1 z))) (+.f64 (log.f64 1/2) (*.f64 2 (/.f64 1 z)))) (*.f64 2 (/.f64 1 (pow.f64 z 2))))
(-.f64 (+.f64 (*.f64 -2 (log.f64 (/.f64 1 z))) (+.f64 (log.f64 1/2) (+.f64 (*.f64 8/3 (/.f64 1 (pow.f64 z 3))) (*.f64 2 (/.f64 1 z))))) (*.f64 2 (/.f64 1 (pow.f64 z 2))))
(+.f64 (log.f64 1/2) (*.f64 -2 (log.f64 (/.f64 -1 z))))
(+.f64 (log.f64 1/2) (+.f64 (*.f64 2 (/.f64 1 z)) (*.f64 -2 (log.f64 (/.f64 -1 z)))))
(-.f64 (+.f64 (log.f64 1/2) (+.f64 (*.f64 2 (/.f64 1 z)) (*.f64 -2 (log.f64 (/.f64 -1 z))))) (*.f64 2 (/.f64 1 (pow.f64 z 2))))
(-.f64 (+.f64 (log.f64 1/2) (+.f64 (*.f64 8/3 (/.f64 1 (pow.f64 z 3))) (+.f64 (*.f64 2 (/.f64 1 z)) (*.f64 -2 (log.f64 (/.f64 -1 z)))))) (*.f64 2 (/.f64 1 (pow.f64 z 2))))
(/.f64 1 (*.f64 y (*.f64 t z)))
(-.f64 (+.f64 (/.f64 1 (*.f64 y (*.f64 t z))) (+.f64 (/.f64 (log.f64 z) t) (*.f64 -1 (/.f64 (log.f64 (/.f64 1 y)) t)))) (*.f64 1/2 (/.f64 1 (*.f64 y t))))
(-.f64 (+.f64 (/.f64 1 (*.f64 y (*.f64 t z))) (+.f64 (/.f64 (log.f64 z) t) (+.f64 (*.f64 (+.f64 (*.f64 1/4 (/.f64 1 (*.f64 y t))) (*.f64 1/2 (/.f64 1 t))) z) (*.f64 -1 (/.f64 (log.f64 (/.f64 1 y)) t))))) (*.f64 1/2 (/.f64 1 (*.f64 y t))))
(-.f64 (+.f64 (/.f64 1 (*.f64 y (*.f64 t z))) (+.f64 (/.f64 (log.f64 z) t) (+.f64 (*.f64 (+.f64 (*.f64 1/4 (/.f64 1 (*.f64 y t))) (*.f64 1/2 (/.f64 1 t))) z) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 1/8 (/.f64 1 y)) 1/8) (pow.f64 z 2)) t)) (*.f64 -1 (/.f64 (log.f64 (/.f64 1 y)) t)))))) (*.f64 1/2 (/.f64 1 (*.f64 y t))))
(/.f64 (+.f64 (*.f64 -2 (log.f64 (/.f64 1 z))) (+.f64 (log.f64 1/2) (*.f64 -1 (log.f64 (/.f64 1 y))))) t)
(+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (+.f64 (*.f64 -2 (/.f64 (log.f64 (/.f64 1 z)) t)) (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 y)) t)) (/.f64 (log.f64 1/2) t))))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 (*.f64 y (*.f64 t (pow.f64 z 2))))) (+.f64 (*.f64 -2 (/.f64 (log.f64 (/.f64 1 z)) t)) (+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 y)) t)) (/.f64 (log.f64 1/2) t))))) (*.f64 2 (/.f64 1 (*.f64 t (pow.f64 z 2)))))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 (*.f64 y (*.f64 t (pow.f64 z 2))))) (+.f64 (*.f64 -2 (/.f64 (log.f64 (/.f64 1 z)) t)) (+.f64 (*.f64 8/3 (/.f64 1 (*.f64 t (pow.f64 z 3)))) (+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 y)) t)) (/.f64 (log.f64 1/2) t)))))) (+.f64 (*.f64 4 (/.f64 1 (*.f64 y (*.f64 t (pow.f64 z 3))))) (*.f64 2 (/.f64 1 (*.f64 t (pow.f64 z 2))))))
(/.f64 (+.f64 (log.f64 1/2) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 y))) (*.f64 -2 (log.f64 (/.f64 -1 z))))) t)
(+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (+.f64 (*.f64 -2 (/.f64 (log.f64 (/.f64 -1 z)) t)) (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 y)) t)) (/.f64 (log.f64 1/2) t))))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 (*.f64 y (*.f64 t (pow.f64 z 2))))) (+.f64 (*.f64 -2 (/.f64 (log.f64 (/.f64 -1 z)) t)) (+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 y)) t)) (/.f64 (log.f64 1/2) t))))) (*.f64 2 (/.f64 1 (*.f64 t (pow.f64 z 2)))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 4 (/.f64 1 (*.f64 y t))) (*.f64 8/3 (/.f64 1 t))) (pow.f64 z 3))) (+.f64 (*.f64 2 (/.f64 1 (*.f64 y (*.f64 t (pow.f64 z 2))))) (+.f64 (*.f64 -2 (/.f64 (log.f64 (/.f64 -1 z)) t)) (+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 y)) t)) (/.f64 (log.f64 1/2) t)))))) (*.f64 2 (/.f64 1 (*.f64 t (pow.f64 z 2)))))
(/.f64 1 (*.f64 (+.f64 1 (*.f64 1/2 z)) (*.f64 y (*.f64 t z))))
(+.f64 (/.f64 (log.f64 y) t) (+.f64 (/.f64 (log.f64 (*.f64 (+.f64 1 (*.f64 1/2 z)) z)) t) (/.f64 1 (*.f64 (+.f64 1 (*.f64 1/2 z)) (*.f64 y (*.f64 t z))))))
(+.f64 (/.f64 (log.f64 y) t) (+.f64 (/.f64 (log.f64 (*.f64 (+.f64 1 (*.f64 1/2 z)) z)) t) (/.f64 1 (*.f64 (+.f64 1 (*.f64 1/2 z)) (*.f64 y (*.f64 t z))))))
(+.f64 (/.f64 (log.f64 y) t) (+.f64 (/.f64 (log.f64 (*.f64 (+.f64 1 (*.f64 1/2 z)) z)) t) (/.f64 1 (*.f64 (+.f64 1 (*.f64 1/2 z)) (*.f64 y (*.f64 t z))))))
(/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 y))) (log.f64 (*.f64 (+.f64 1 (*.f64 1/2 z)) z))) t)
(+.f64 (/.f64 1 (*.f64 (+.f64 1 (*.f64 1/2 z)) (*.f64 y (*.f64 t z)))) (+.f64 (/.f64 (log.f64 (*.f64 (+.f64 1 (*.f64 1/2 z)) z)) t) (*.f64 -1 (/.f64 (log.f64 (/.f64 1 y)) t))))
(+.f64 (/.f64 1 (*.f64 (+.f64 1 (*.f64 1/2 z)) (*.f64 y (*.f64 t z)))) (+.f64 (/.f64 (log.f64 (*.f64 (+.f64 1 (*.f64 1/2 z)) z)) t) (*.f64 -1 (/.f64 (log.f64 (/.f64 1 y)) t))))
(+.f64 (/.f64 1 (*.f64 (+.f64 1 (*.f64 1/2 z)) (*.f64 y (*.f64 t z)))) (+.f64 (/.f64 (log.f64 (*.f64 (+.f64 1 (*.f64 1/2 z)) z)) t) (*.f64 -1 (/.f64 (log.f64 (/.f64 1 y)) t))))
(/.f64 (+.f64 (*.f64 -1 (+.f64 (log.f64 -1) (log.f64 (/.f64 -1 y)))) (log.f64 (*.f64 (+.f64 1 (*.f64 1/2 z)) z))) t)
(+.f64 (*.f64 -1 (/.f64 (+.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))) t)) (+.f64 (/.f64 1 (*.f64 (+.f64 1 (*.f64 1/2 z)) (*.f64 y (*.f64 t z)))) (/.f64 (log.f64 (*.f64 (+.f64 1 (*.f64 1/2 z)) z)) t)))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))) t)) (+.f64 (/.f64 1 (*.f64 (+.f64 1 (*.f64 1/2 z)) (*.f64 y (*.f64 t z)))) (/.f64 (log.f64 (*.f64 (+.f64 1 (*.f64 1/2 z)) z)) t)))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))) t)) (+.f64 (/.f64 1 (*.f64 (+.f64 1 (*.f64 1/2 z)) (*.f64 y (*.f64 t z)))) (/.f64 (log.f64 (*.f64 (+.f64 1 (*.f64 1/2 z)) z)) t)))
(/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 y))) (+.f64 (/.f64 1 (*.f64 (+.f64 1 (*.f64 1/2 z)) (*.f64 y z))) (log.f64 (*.f64 (+.f64 1 (*.f64 1/2 z)) z)))) t)
(/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 y))) (+.f64 (/.f64 1 (*.f64 (+.f64 1 (*.f64 1/2 z)) (*.f64 y z))) (log.f64 (*.f64 (+.f64 1 (*.f64 1/2 z)) z)))) t)
(/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 y))) (+.f64 (/.f64 1 (*.f64 (+.f64 1 (*.f64 1/2 z)) (*.f64 y z))) (log.f64 (*.f64 (+.f64 1 (*.f64 1/2 z)) z)))) t)
(/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 y))) (+.f64 (/.f64 1 (*.f64 (+.f64 1 (*.f64 1/2 z)) (*.f64 y z))) (log.f64 (*.f64 (+.f64 1 (*.f64 1/2 z)) z)))) t)
(/.f64 1 (*.f64 y z))
(-.f64 (/.f64 1 (*.f64 y z)) (*.f64 1/2 (/.f64 1 y)))
(-.f64 (+.f64 (*.f64 1/4 (/.f64 z y)) (/.f64 1 (*.f64 y z))) (*.f64 1/2 (/.f64 1 y)))
(-.f64 (+.f64 (*.f64 1/4 (/.f64 z y)) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 z 2) y)) (/.f64 1 (*.f64 y z)))) (*.f64 1/2 (/.f64 1 y)))
(/.f64 2 (*.f64 y (pow.f64 z 2)))
(-.f64 (*.f64 2 (/.f64 1 (*.f64 y (pow.f64 z 2)))) (*.f64 4 (/.f64 1 (*.f64 y (pow.f64 z 3)))))
(-.f64 (+.f64 (*.f64 8 (/.f64 1 (*.f64 y (pow.f64 z 4)))) (*.f64 2 (/.f64 1 (*.f64 y (pow.f64 z 2))))) (*.f64 4 (/.f64 1 (*.f64 y (pow.f64 z 3)))))
(-.f64 (+.f64 (*.f64 8 (/.f64 1 (*.f64 y (pow.f64 z 4)))) (*.f64 2 (/.f64 1 (*.f64 y (pow.f64 z 2))))) (+.f64 (*.f64 4 (/.f64 1 (*.f64 y (pow.f64 z 3)))) (*.f64 16 (/.f64 1 (*.f64 y (pow.f64 z 5))))))
(/.f64 2 (*.f64 y (pow.f64 z 2)))
(-.f64 (*.f64 2 (/.f64 1 (*.f64 y (pow.f64 z 2)))) (*.f64 4 (/.f64 1 (*.f64 y (pow.f64 z 3)))))
(-.f64 (+.f64 (*.f64 8 (/.f64 1 (*.f64 y (pow.f64 z 4)))) (*.f64 2 (/.f64 1 (*.f64 y (pow.f64 z 2))))) (*.f64 4 (/.f64 1 (*.f64 y (pow.f64 z 3)))))
(-.f64 (+.f64 (*.f64 8 (/.f64 1 (*.f64 y (pow.f64 z 4)))) (*.f64 2 (/.f64 1 (*.f64 y (pow.f64 z 2))))) (+.f64 (*.f64 4 (/.f64 1 (*.f64 y (pow.f64 z 3)))) (*.f64 16 (/.f64 1 (*.f64 y (pow.f64 z 5))))))
(+.f64 (log.f64 y) (log.f64 (*.f64 (+.f64 1 (*.f64 1/2 z)) z)))
(+.f64 (log.f64 y) (log.f64 (*.f64 (+.f64 1 (*.f64 1/2 z)) z)))
(+.f64 (log.f64 y) (log.f64 (*.f64 (+.f64 1 (*.f64 1/2 z)) z)))
(+.f64 (log.f64 y) (log.f64 (*.f64 (+.f64 1 (*.f64 1/2 z)) z)))
(+.f64 (*.f64 -1 (+.f64 (log.f64 -1) (log.f64 (/.f64 -1 y)))) (log.f64 (*.f64 (+.f64 1 (*.f64 1/2 z)) z)))
(+.f64 (*.f64 -1 (+.f64 (log.f64 -1) (log.f64 (/.f64 -1 y)))) (log.f64 (*.f64 (+.f64 1 (*.f64 1/2 z)) z)))
(+.f64 (*.f64 -1 (+.f64 (log.f64 -1) (log.f64 (/.f64 -1 y)))) (log.f64 (*.f64 (+.f64 1 (*.f64 1/2 z)) z)))
(+.f64 (*.f64 -1 (+.f64 (log.f64 -1) (log.f64 (/.f64 -1 y)))) (log.f64 (*.f64 (+.f64 1 (*.f64 1/2 z)) z)))
(+.f64 (log.f64 z) (*.f64 -1 (log.f64 (/.f64 1 y))))
(+.f64 (log.f64 z) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 y))) (*.f64 1/2 z)))
(+.f64 (*.f64 -1/8 (pow.f64 z 2)) (+.f64 (log.f64 z) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 y))) (*.f64 1/2 z))))
(+.f64 (*.f64 1/24 (pow.f64 z 3)) (+.f64 (*.f64 -1/8 (pow.f64 z 2)) (+.f64 (log.f64 z) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 y))) (*.f64 1/2 z)))))
(+.f64 (*.f64 -2 (log.f64 (/.f64 1 z))) (+.f64 (log.f64 1/2) (*.f64 -1 (log.f64 (/.f64 1 y)))))
(+.f64 (*.f64 -2 (log.f64 (/.f64 1 z))) (+.f64 (log.f64 1/2) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 y))) (*.f64 2 (/.f64 1 z)))))
(-.f64 (+.f64 (*.f64 -2 (log.f64 (/.f64 1 z))) (+.f64 (log.f64 1/2) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 y))) (*.f64 2 (/.f64 1 z))))) (*.f64 2 (/.f64 1 (pow.f64 z 2))))
(-.f64 (+.f64 (*.f64 -2 (log.f64 (/.f64 1 z))) (+.f64 (log.f64 1/2) (+.f64 (*.f64 8/3 (/.f64 1 (pow.f64 z 3))) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 y))) (*.f64 2 (/.f64 1 z)))))) (*.f64 2 (/.f64 1 (pow.f64 z 2))))
(+.f64 (log.f64 1/2) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 y))) (*.f64 -2 (log.f64 (/.f64 -1 z)))))
(+.f64 (log.f64 1/2) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 y))) (+.f64 (*.f64 2 (/.f64 1 z)) (*.f64 -2 (log.f64 (/.f64 -1 z))))))
(-.f64 (+.f64 (log.f64 1/2) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 y))) (+.f64 (*.f64 2 (/.f64 1 z)) (*.f64 -2 (log.f64 (/.f64 -1 z)))))) (*.f64 2 (/.f64 1 (pow.f64 z 2))))
(-.f64 (+.f64 (log.f64 1/2) (+.f64 (*.f64 8/3 (/.f64 1 (pow.f64 z 3))) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 y))) (+.f64 (*.f64 2 (/.f64 1 z)) (*.f64 -2 (log.f64 (/.f64 -1 z))))))) (*.f64 2 (/.f64 1 (pow.f64 z 2))))
Outputs
(log.f64 z)
(+.f64 (log.f64 z) (*.f64 1/2 z))
(+.f64 (log.f64 z) (*.f64 z 1/2))
(fma.f64 z 1/2 (log.f64 z))
(+.f64 (*.f64 -1/8 (pow.f64 z 2)) (+.f64 (log.f64 z) (*.f64 1/2 z)))
(fma.f64 -1/8 (*.f64 z z) (+.f64 (log.f64 z) (*.f64 z 1/2)))
(fma.f64 -1/8 (*.f64 z z) (fma.f64 z 1/2 (log.f64 z)))
(fma.f64 z 1/2 (fma.f64 z (*.f64 z -1/8) (log.f64 z)))
(+.f64 (*.f64 1/24 (pow.f64 z 3)) (+.f64 (*.f64 -1/8 (pow.f64 z 2)) (+.f64 (log.f64 z) (*.f64 1/2 z))))
(fma.f64 1/24 (pow.f64 z 3) (fma.f64 -1/8 (*.f64 z z) (+.f64 (log.f64 z) (*.f64 z 1/2))))
(fma.f64 1/24 (pow.f64 z 3) (fma.f64 -1/8 (*.f64 z z) (fma.f64 z 1/2 (log.f64 z))))
(fma.f64 z (*.f64 z -1/8) (fma.f64 1/24 (pow.f64 z 3) (fma.f64 z 1/2 (log.f64 z))))
(+.f64 (*.f64 -2 (log.f64 (/.f64 1 z))) (log.f64 1/2))
(fma.f64 -2 (neg.f64 (log.f64 z)) (log.f64 1/2))
(+.f64 (*.f64 (log.f64 z) 2) (log.f64 1/2))
(+.f64 (*.f64 -2 (log.f64 (/.f64 1 z))) (+.f64 (log.f64 1/2) (*.f64 2 (/.f64 1 z))))
(fma.f64 -2 (neg.f64 (log.f64 z)) (+.f64 (log.f64 1/2) (/.f64 2 z)))
(+.f64 (log.f64 1/2) (+.f64 (*.f64 (log.f64 z) 2) (/.f64 2 z)))
(-.f64 (+.f64 (*.f64 -2 (log.f64 (/.f64 1 z))) (+.f64 (log.f64 1/2) (*.f64 2 (/.f64 1 z)))) (*.f64 2 (/.f64 1 (pow.f64 z 2))))
(-.f64 (fma.f64 -2 (neg.f64 (log.f64 z)) (+.f64 (log.f64 1/2) (/.f64 2 z))) (/.f64 2 (*.f64 z z)))
(fma.f64 -2 (neg.f64 (log.f64 z)) (+.f64 (log.f64 1/2) (-.f64 (/.f64 2 z) (/.f64 2 (*.f64 z z)))))
(+.f64 (*.f64 (log.f64 z) 2) (+.f64 (log.f64 1/2) (-.f64 (/.f64 2 z) (/.f64 2 (*.f64 z z)))))
(-.f64 (+.f64 (*.f64 -2 (log.f64 (/.f64 1 z))) (+.f64 (log.f64 1/2) (+.f64 (*.f64 8/3 (/.f64 1 (pow.f64 z 3))) (*.f64 2 (/.f64 1 z))))) (*.f64 2 (/.f64 1 (pow.f64 z 2))))
(-.f64 (fma.f64 -2 (neg.f64 (log.f64 z)) (+.f64 (log.f64 1/2) (+.f64 (/.f64 2 z) (/.f64 8/3 (pow.f64 z 3))))) (/.f64 2 (*.f64 z z)))
(+.f64 (fma.f64 -2 (neg.f64 (log.f64 z)) (log.f64 1/2)) (+.f64 (+.f64 (/.f64 2 z) (/.f64 8/3 (pow.f64 z 3))) (/.f64 -2 (*.f64 z z))))
(+.f64 (*.f64 (log.f64 z) 2) (+.f64 (/.f64 8/3 (pow.f64 z 3)) (+.f64 (log.f64 1/2) (-.f64 (/.f64 2 z) (/.f64 2 (*.f64 z z))))))
(+.f64 (log.f64 1/2) (*.f64 -2 (log.f64 (/.f64 -1 z))))
(fma.f64 -2 (log.f64 (/.f64 -1 z)) (log.f64 1/2))
(+.f64 (log.f64 1/2) (+.f64 (*.f64 2 (/.f64 1 z)) (*.f64 -2 (log.f64 (/.f64 -1 z)))))
(+.f64 (log.f64 1/2) (+.f64 (/.f64 2 z) (*.f64 -2 (log.f64 (/.f64 -1 z)))))
(+.f64 (/.f64 2 z) (fma.f64 -2 (log.f64 (/.f64 -1 z)) (log.f64 1/2)))
(+.f64 (log.f64 1/2) (fma.f64 -2 (log.f64 (/.f64 -1 z)) (/.f64 2 z)))
(-.f64 (+.f64 (log.f64 1/2) (+.f64 (*.f64 2 (/.f64 1 z)) (*.f64 -2 (log.f64 (/.f64 -1 z))))) (*.f64 2 (/.f64 1 (pow.f64 z 2))))
(+.f64 (log.f64 1/2) (-.f64 (+.f64 (/.f64 2 z) (*.f64 -2 (log.f64 (/.f64 -1 z)))) (/.f64 2 (*.f64 z z))))
(+.f64 (log.f64 1/2) (+.f64 (fma.f64 -2 (log.f64 (/.f64 -1 z)) (/.f64 2 z)) (/.f64 -2 (*.f64 z z))))
(+.f64 (log.f64 1/2) (+.f64 (/.f64 2 z) (fma.f64 -2 (log.f64 (/.f64 -1 z)) (/.f64 -2 (*.f64 z z)))))
(-.f64 (+.f64 (log.f64 1/2) (+.f64 (*.f64 8/3 (/.f64 1 (pow.f64 z 3))) (+.f64 (*.f64 2 (/.f64 1 z)) (*.f64 -2 (log.f64 (/.f64 -1 z)))))) (*.f64 2 (/.f64 1 (pow.f64 z 2))))
(-.f64 (+.f64 (log.f64 1/2) (+.f64 (+.f64 (/.f64 2 z) (/.f64 8/3 (pow.f64 z 3))) (*.f64 -2 (log.f64 (/.f64 -1 z))))) (/.f64 2 (*.f64 z z)))
(+.f64 (+.f64 (log.f64 1/2) (/.f64 8/3 (pow.f64 z 3))) (+.f64 (fma.f64 -2 (log.f64 (/.f64 -1 z)) (/.f64 2 z)) (/.f64 -2 (*.f64 z z))))
(+.f64 (log.f64 1/2) (+.f64 (/.f64 8/3 (pow.f64 z 3)) (+.f64 (/.f64 2 z) (fma.f64 -2 (log.f64 (/.f64 -1 z)) (/.f64 -2 (*.f64 z z))))))
(/.f64 1 (*.f64 y (*.f64 t z)))
(/.f64 1 (*.f64 y (*.f64 z t)))
(/.f64 1 (*.f64 z (*.f64 y t)))
(-.f64 (+.f64 (/.f64 1 (*.f64 y (*.f64 t z))) (+.f64 (/.f64 (log.f64 z) t) (*.f64 -1 (/.f64 (log.f64 (/.f64 1 y)) t)))) (*.f64 1/2 (/.f64 1 (*.f64 y t))))
(-.f64 (+.f64 (/.f64 1 (*.f64 y (*.f64 z t))) (+.f64 (/.f64 (log.f64 z) t) (neg.f64 (/.f64 (neg.f64 (log.f64 y)) t)))) (/.f64 1/2 (*.f64 y t)))
(+.f64 (+.f64 (/.f64 (log.f64 z) t) (/.f64 (log.f64 y) t)) (-.f64 (/.f64 1 (*.f64 z (*.f64 y t))) (/.f64 1/2 (*.f64 y t))))
(+.f64 (/.f64 1 (*.f64 z (*.f64 y t))) (+.f64 (/.f64 (log.f64 y) t) (-.f64 (/.f64 (log.f64 z) t) (/.f64 1/2 (*.f64 y t)))))
(-.f64 (+.f64 (/.f64 1 (*.f64 y (*.f64 t z))) (+.f64 (/.f64 (log.f64 z) t) (+.f64 (*.f64 (+.f64 (*.f64 1/4 (/.f64 1 (*.f64 y t))) (*.f64 1/2 (/.f64 1 t))) z) (*.f64 -1 (/.f64 (log.f64 (/.f64 1 y)) t))))) (*.f64 1/2 (/.f64 1 (*.f64 y t))))
(-.f64 (+.f64 (/.f64 1 (*.f64 y (*.f64 z t))) (+.f64 (/.f64 (log.f64 z) t) (fma.f64 (+.f64 (/.f64 1/4 (*.f64 y t)) (/.f64 1/2 t)) z (neg.f64 (/.f64 (neg.f64 (log.f64 y)) t))))) (/.f64 1/2 (*.f64 y t)))
(+.f64 (/.f64 1 (*.f64 z (*.f64 y t))) (+.f64 (/.f64 (log.f64 z) t) (-.f64 (fma.f64 z (+.f64 (/.f64 1/4 (*.f64 y t)) (/.f64 1/2 t)) (/.f64 (log.f64 y) t)) (/.f64 1/2 (*.f64 y t)))))
(+.f64 (fma.f64 z (+.f64 (/.f64 1/4 (*.f64 y t)) (/.f64 1/2 t)) (/.f64 (log.f64 z) t)) (-.f64 (+.f64 (/.f64 1 (*.f64 z (*.f64 y t))) (/.f64 (log.f64 y) t)) (/.f64 1/2 (*.f64 y t))))
(+.f64 (/.f64 1 (*.f64 z (*.f64 y t))) (+.f64 (fma.f64 z (+.f64 (/.f64 1/4 (*.f64 y t)) (/.f64 1/2 t)) (/.f64 (log.f64 y) t)) (-.f64 (/.f64 (log.f64 z) t) (/.f64 1/2 (*.f64 y t)))))
(-.f64 (+.f64 (/.f64 1 (*.f64 y (*.f64 t z))) (+.f64 (/.f64 (log.f64 z) t) (+.f64 (*.f64 (+.f64 (*.f64 1/4 (/.f64 1 (*.f64 y t))) (*.f64 1/2 (/.f64 1 t))) z) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 1/8 (/.f64 1 y)) 1/8) (pow.f64 z 2)) t)) (*.f64 -1 (/.f64 (log.f64 (/.f64 1 y)) t)))))) (*.f64 1/2 (/.f64 1 (*.f64 y t))))
(+.f64 (/.f64 1 (*.f64 y (*.f64 z t))) (-.f64 (+.f64 (/.f64 (log.f64 z) t) (fma.f64 (+.f64 (/.f64 1/4 (*.f64 y t)) (/.f64 1/2 t)) z (*.f64 -1 (+.f64 (/.f64 (+.f64 1/8 (/.f64 1/8 y)) (/.f64 t (*.f64 z z))) (/.f64 (neg.f64 (log.f64 y)) t))))) (/.f64 1/2 (*.f64 y t))))
(+.f64 (/.f64 1 (*.f64 z (*.f64 y t))) (+.f64 (fma.f64 z (+.f64 (/.f64 1/4 (*.f64 y t)) (/.f64 1/2 t)) (-.f64 (/.f64 (log.f64 y) t) (/.f64 (+.f64 1/8 (/.f64 1/8 y)) (/.f64 t (*.f64 z z))))) (-.f64 (/.f64 (log.f64 z) t) (/.f64 1/2 (*.f64 y t)))))
(+.f64 (/.f64 1 (*.f64 z (*.f64 y t))) (+.f64 (fma.f64 z (+.f64 (/.f64 1/4 (*.f64 y t)) (/.f64 1/2 t)) (-.f64 (/.f64 (log.f64 y) t) (*.f64 (/.f64 (*.f64 z z) t) (+.f64 1/8 (/.f64 1/8 y))))) (-.f64 (/.f64 (log.f64 z) t) (/.f64 1/2 (*.f64 y t)))))
(+.f64 (/.f64 1 (*.f64 z (*.f64 y t))) (+.f64 (fma.f64 z (+.f64 (/.f64 1/4 (*.f64 y t)) (/.f64 1/2 t)) (+.f64 (/.f64 (log.f64 y) t) (*.f64 (*.f64 z z) (/.f64 (-.f64 -1/8 (/.f64 1/8 y)) t)))) (-.f64 (/.f64 (log.f64 z) t) (/.f64 1/2 (*.f64 y t)))))
(/.f64 (+.f64 (*.f64 -2 (log.f64 (/.f64 1 z))) (+.f64 (log.f64 1/2) (*.f64 -1 (log.f64 (/.f64 1 y))))) t)
(/.f64 (+.f64 (fma.f64 -2 (neg.f64 (log.f64 z)) (log.f64 1/2)) (neg.f64 (neg.f64 (log.f64 y)))) t)
(/.f64 (fma.f64 -2 (neg.f64 (log.f64 z)) (+.f64 (log.f64 1/2) (log.f64 y))) t)
(/.f64 (+.f64 (*.f64 (log.f64 z) 2) (+.f64 (log.f64 1/2) (log.f64 y))) t)
(+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (+.f64 (*.f64 -2 (/.f64 (log.f64 (/.f64 1 z)) t)) (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 y)) t)) (/.f64 (log.f64 1/2) t))))
(+.f64 (/.f64 2 (*.f64 z t)) (fma.f64 -2 (/.f64 (neg.f64 (log.f64 z)) t) (fma.f64 -1 (/.f64 (neg.f64 (log.f64 y)) t) (/.f64 (log.f64 1/2) t))))
(+.f64 (/.f64 (/.f64 2 z) t) (+.f64 (/.f64 (log.f64 1/2) t) (fma.f64 -2 (neg.f64 (/.f64 (log.f64 z) t)) (/.f64 (log.f64 y) t))))
(+.f64 (/.f64 (log.f64 y) t) (+.f64 (/.f64 (log.f64 1/2) t) (fma.f64 -2 (neg.f64 (/.f64 (log.f64 z) t)) (/.f64 (/.f64 2 z) t))))
(+.f64 (/.f64 (/.f64 2 z) t) (/.f64 (+.f64 (*.f64 (log.f64 z) 2) (+.f64 (log.f64 1/2) (log.f64 y))) t))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 (*.f64 y (*.f64 t (pow.f64 z 2))))) (+.f64 (*.f64 -2 (/.f64 (log.f64 (/.f64 1 z)) t)) (+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 y)) t)) (/.f64 (log.f64 1/2) t))))) (*.f64 2 (/.f64 1 (*.f64 t (pow.f64 z 2)))))
(+.f64 (/.f64 2 (*.f64 (*.f64 y t) (*.f64 z z))) (-.f64 (fma.f64 -2 (/.f64 (neg.f64 (log.f64 z)) t) (+.f64 (/.f64 2 (*.f64 z t)) (fma.f64 -1 (/.f64 (neg.f64 (log.f64 y)) t) (/.f64 (log.f64 1/2) t)))) (/.f64 2 (*.f64 (*.f64 z z) t))))
(+.f64 (/.f64 2 (*.f64 (*.f64 z z) (*.f64 y t))) (+.f64 (+.f64 (/.f64 (/.f64 2 z) t) (+.f64 (/.f64 (log.f64 1/2) t) (fma.f64 -2 (neg.f64 (/.f64 (log.f64 z) t)) (/.f64 (log.f64 y) t)))) (/.f64 -2 (*.f64 z (*.f64 z t)))))
(+.f64 (/.f64 2 (*.f64 z (*.f64 z (*.f64 y t)))) (+.f64 (+.f64 (/.f64 (log.f64 y) t) (/.f64 (log.f64 1/2) t)) (-.f64 (fma.f64 -2 (neg.f64 (/.f64 (log.f64 z) t)) (/.f64 (/.f64 2 z) t)) (/.f64 2 (*.f64 z (*.f64 z t))))))
(+.f64 (/.f64 2 (*.f64 z (*.f64 z (*.f64 y t)))) (+.f64 (/.f64 (+.f64 (*.f64 (log.f64 z) 2) (+.f64 (log.f64 1/2) (log.f64 y))) t) (+.f64 (/.f64 (/.f64 2 z) t) (/.f64 -2 (*.f64 z (*.f64 z t))))))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 (*.f64 y (*.f64 t (pow.f64 z 2))))) (+.f64 (*.f64 -2 (/.f64 (log.f64 (/.f64 1 z)) t)) (+.f64 (*.f64 8/3 (/.f64 1 (*.f64 t (pow.f64 z 3)))) (+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 y)) t)) (/.f64 (log.f64 1/2) t)))))) (+.f64 (*.f64 4 (/.f64 1 (*.f64 y (*.f64 t (pow.f64 z 3))))) (*.f64 2 (/.f64 1 (*.f64 t (pow.f64 z 2))))))
(+.f64 (/.f64 2 (*.f64 (*.f64 y t) (*.f64 z z))) (-.f64 (fma.f64 -2 (/.f64 (neg.f64 (log.f64 z)) t) (+.f64 (+.f64 (/.f64 2 (*.f64 z t)) (fma.f64 -1 (/.f64 (neg.f64 (log.f64 y)) t) (/.f64 (log.f64 1/2) t))) (/.f64 8/3 (*.f64 (pow.f64 z 3) t)))) (+.f64 (/.f64 2 (*.f64 (*.f64 z z) t)) (/.f64 4 (*.f64 y (*.f64 (pow.f64 z 3) t))))))
(+.f64 (/.f64 2 (*.f64 (*.f64 z z) (*.f64 y t))) (-.f64 (+.f64 (+.f64 (/.f64 (/.f64 2 z) t) (/.f64 8/3 (*.f64 (pow.f64 z 3) t))) (+.f64 (/.f64 (log.f64 1/2) t) (fma.f64 -2 (neg.f64 (/.f64 (log.f64 z) t)) (/.f64 (log.f64 y) t)))) (+.f64 (/.f64 2 (*.f64 z (*.f64 z t))) (/.f64 4 (*.f64 (pow.f64 z 3) (*.f64 y t))))))
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(/.f64 (+.f64 (log.f64 1/2) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 y))) (*.f64 -2 (log.f64 (/.f64 -1 z))))) t)
(/.f64 (+.f64 (log.f64 1/2) (fma.f64 -1 (neg.f64 (log.f64 y)) (*.f64 -2 (log.f64 (/.f64 -1 z))))) t)
(/.f64 (+.f64 (log.f64 1/2) (fma.f64 -2 (log.f64 (/.f64 -1 z)) (log.f64 y))) t)
(+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (+.f64 (*.f64 -2 (/.f64 (log.f64 (/.f64 -1 z)) t)) (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 y)) t)) (/.f64 (log.f64 1/2) t))))
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(+.f64 (/.f64 (log.f64 y) t) (+.f64 (/.f64 (log.f64 1/2) t) (fma.f64 -2 (/.f64 (log.f64 (/.f64 -1 z)) t) (/.f64 (/.f64 2 z) t))))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 (*.f64 y (*.f64 t (pow.f64 z 2))))) (+.f64 (*.f64 -2 (/.f64 (log.f64 (/.f64 -1 z)) t)) (+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 y)) t)) (/.f64 (log.f64 1/2) t))))) (*.f64 2 (/.f64 1 (*.f64 t (pow.f64 z 2)))))
(+.f64 (/.f64 2 (*.f64 (*.f64 y t) (*.f64 z z))) (-.f64 (fma.f64 -2 (/.f64 (log.f64 (/.f64 -1 z)) t) (+.f64 (/.f64 2 (*.f64 z t)) (fma.f64 -1 (/.f64 (neg.f64 (log.f64 y)) t) (/.f64 (log.f64 1/2) t)))) (/.f64 2 (*.f64 (*.f64 z z) t))))
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(-.f64 (+.f64 (*.f64 8 (/.f64 1 (*.f64 y (pow.f64 z 4)))) (*.f64 2 (/.f64 1 (*.f64 y (pow.f64 z 2))))) (*.f64 4 (/.f64 1 (*.f64 y (pow.f64 z 3)))))
(+.f64 (/.f64 8 (*.f64 y (pow.f64 z 4))) (-.f64 (/.f64 2 (*.f64 (*.f64 z z) y)) (/.f64 4 (*.f64 (pow.f64 z 3) y))))
(+.f64 (/.f64 (/.f64 2 (*.f64 z z)) y) (-.f64 (/.f64 8 (*.f64 y (pow.f64 z 4))) (/.f64 4 (*.f64 (pow.f64 z 3) y))))
(+.f64 (-.f64 (/.f64 (/.f64 2 z) (*.f64 z y)) (/.f64 (/.f64 4 y) (pow.f64 z 3))) (/.f64 8 (*.f64 y (pow.f64 z 4))))
(-.f64 (+.f64 (*.f64 8 (/.f64 1 (*.f64 y (pow.f64 z 4)))) (*.f64 2 (/.f64 1 (*.f64 y (pow.f64 z 2))))) (+.f64 (*.f64 4 (/.f64 1 (*.f64 y (pow.f64 z 3)))) (*.f64 16 (/.f64 1 (*.f64 y (pow.f64 z 5))))))
(+.f64 (/.f64 8 (*.f64 y (pow.f64 z 4))) (-.f64 (/.f64 2 (*.f64 (*.f64 z z) y)) (+.f64 (/.f64 4 (*.f64 (pow.f64 z 3) y)) (/.f64 16 (*.f64 y (pow.f64 z 5))))))
(+.f64 (/.f64 8 (*.f64 y (pow.f64 z 4))) (-.f64 (/.f64 (/.f64 2 (*.f64 z z)) y) (+.f64 (/.f64 4 (*.f64 (pow.f64 z 3) y)) (/.f64 16 (*.f64 y (pow.f64 z 5))))))
(+.f64 (-.f64 (/.f64 (/.f64 2 z) (*.f64 z y)) (/.f64 (/.f64 4 y) (pow.f64 z 3))) (-.f64 (/.f64 8 (*.f64 y (pow.f64 z 4))) (/.f64 16 (*.f64 y (pow.f64 z 5)))))
(+.f64 (/.f64 8 (*.f64 y (pow.f64 z 4))) (+.f64 (-.f64 (/.f64 (/.f64 2 z) (*.f64 z y)) (/.f64 (/.f64 4 y) (pow.f64 z 3))) (/.f64 -16 (*.f64 y (pow.f64 z 5)))))
(+.f64 (log.f64 y) (log.f64 (*.f64 (+.f64 1 (*.f64 1/2 z)) z)))
(+.f64 (log.f64 y) (log.f64 (*.f64 z (+.f64 (*.f64 z 1/2) 1))))
(+.f64 (log.f64 y) (log.f64 (*.f64 z (fma.f64 z 1/2 1))))
(+.f64 (log.f64 y) (log.f64 (*.f64 (+.f64 1 (*.f64 1/2 z)) z)))
(+.f64 (log.f64 y) (log.f64 (*.f64 z (+.f64 (*.f64 z 1/2) 1))))
(+.f64 (log.f64 y) (log.f64 (*.f64 z (fma.f64 z 1/2 1))))
(+.f64 (log.f64 y) (log.f64 (*.f64 (+.f64 1 (*.f64 1/2 z)) z)))
(+.f64 (log.f64 y) (log.f64 (*.f64 z (+.f64 (*.f64 z 1/2) 1))))
(+.f64 (log.f64 y) (log.f64 (*.f64 z (fma.f64 z 1/2 1))))
(+.f64 (log.f64 y) (log.f64 (*.f64 (+.f64 1 (*.f64 1/2 z)) z)))
(+.f64 (log.f64 y) (log.f64 (*.f64 z (+.f64 (*.f64 z 1/2) 1))))
(+.f64 (log.f64 y) (log.f64 (*.f64 z (fma.f64 z 1/2 1))))
(+.f64 (*.f64 -1 (+.f64 (log.f64 -1) (log.f64 (/.f64 -1 y)))) (log.f64 (*.f64 (+.f64 1 (*.f64 1/2 z)) z)))
(fma.f64 -1 (+.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))) (log.f64 (*.f64 z (+.f64 (*.f64 z 1/2) 1))))
(-.f64 (log.f64 (*.f64 z (fma.f64 z 1/2 1))) (+.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))))
(+.f64 (*.f64 -1 (+.f64 (log.f64 -1) (log.f64 (/.f64 -1 y)))) (log.f64 (*.f64 (+.f64 1 (*.f64 1/2 z)) z)))
(fma.f64 -1 (+.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))) (log.f64 (*.f64 z (+.f64 (*.f64 z 1/2) 1))))
(-.f64 (log.f64 (*.f64 z (fma.f64 z 1/2 1))) (+.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))))
(+.f64 (*.f64 -1 (+.f64 (log.f64 -1) (log.f64 (/.f64 -1 y)))) (log.f64 (*.f64 (+.f64 1 (*.f64 1/2 z)) z)))
(fma.f64 -1 (+.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))) (log.f64 (*.f64 z (+.f64 (*.f64 z 1/2) 1))))
(-.f64 (log.f64 (*.f64 z (fma.f64 z 1/2 1))) (+.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))))
(+.f64 (*.f64 -1 (+.f64 (log.f64 -1) (log.f64 (/.f64 -1 y)))) (log.f64 (*.f64 (+.f64 1 (*.f64 1/2 z)) z)))
(fma.f64 -1 (+.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))) (log.f64 (*.f64 z (+.f64 (*.f64 z 1/2) 1))))
(-.f64 (log.f64 (*.f64 z (fma.f64 z 1/2 1))) (+.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))))
(+.f64 (log.f64 z) (*.f64 -1 (log.f64 (/.f64 1 y))))
(+.f64 (log.f64 z) (neg.f64 (neg.f64 (log.f64 y))))
(+.f64 (log.f64 z) (log.f64 y))
(+.f64 (log.f64 z) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 y))) (*.f64 1/2 z)))
(+.f64 (log.f64 z) (fma.f64 -1 (neg.f64 (log.f64 y)) (*.f64 z 1/2)))
(+.f64 (log.f64 z) (fma.f64 z 1/2 (log.f64 y)))
(+.f64 (*.f64 -1/8 (pow.f64 z 2)) (+.f64 (log.f64 z) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 y))) (*.f64 1/2 z))))
(fma.f64 -1/8 (*.f64 z z) (+.f64 (log.f64 z) (fma.f64 -1 (neg.f64 (log.f64 y)) (*.f64 z 1/2))))
(+.f64 (fma.f64 z 1/2 (log.f64 y)) (fma.f64 -1/8 (*.f64 z z) (log.f64 z)))
(+.f64 (log.f64 z) (fma.f64 z (*.f64 z -1/8) (fma.f64 z 1/2 (log.f64 y))))
(+.f64 (*.f64 1/24 (pow.f64 z 3)) (+.f64 (*.f64 -1/8 (pow.f64 z 2)) (+.f64 (log.f64 z) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 y))) (*.f64 1/2 z)))))
(fma.f64 1/24 (pow.f64 z 3) (fma.f64 -1/8 (*.f64 z z) (+.f64 (log.f64 z) (fma.f64 -1 (neg.f64 (log.f64 y)) (*.f64 z 1/2)))))
(fma.f64 1/24 (pow.f64 z 3) (+.f64 (fma.f64 z 1/2 (log.f64 y)) (fma.f64 -1/8 (*.f64 z z) (log.f64 z))))
(+.f64 (fma.f64 z 1/2 (log.f64 y)) (fma.f64 1/24 (pow.f64 z 3) (fma.f64 z (*.f64 z -1/8) (log.f64 z))))
(+.f64 (fma.f64 z (*.f64 z -1/8) (fma.f64 1/24 (pow.f64 z 3) (fma.f64 z 1/2 (log.f64 z)))) (log.f64 y))
(+.f64 (*.f64 -2 (log.f64 (/.f64 1 z))) (+.f64 (log.f64 1/2) (*.f64 -1 (log.f64 (/.f64 1 y)))))
(+.f64 (fma.f64 -2 (neg.f64 (log.f64 z)) (log.f64 1/2)) (neg.f64 (neg.f64 (log.f64 y))))
(fma.f64 -2 (neg.f64 (log.f64 z)) (+.f64 (log.f64 1/2) (log.f64 y)))
(+.f64 (*.f64 (log.f64 z) 2) (+.f64 (log.f64 1/2) (log.f64 y)))
(+.f64 (*.f64 -2 (log.f64 (/.f64 1 z))) (+.f64 (log.f64 1/2) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 y))) (*.f64 2 (/.f64 1 z)))))
(+.f64 (fma.f64 -2 (neg.f64 (log.f64 z)) (log.f64 1/2)) (fma.f64 -1 (neg.f64 (log.f64 y)) (/.f64 2 z)))
(+.f64 (fma.f64 -2 (neg.f64 (log.f64 z)) (+.f64 (log.f64 1/2) (log.f64 y))) (/.f64 2 z))
(+.f64 (*.f64 (log.f64 z) 2) (+.f64 (log.f64 1/2) (+.f64 (/.f64 2 z) (log.f64 y))))
(-.f64 (+.f64 (*.f64 -2 (log.f64 (/.f64 1 z))) (+.f64 (log.f64 1/2) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 y))) (*.f64 2 (/.f64 1 z))))) (*.f64 2 (/.f64 1 (pow.f64 z 2))))
(-.f64 (+.f64 (fma.f64 -2 (neg.f64 (log.f64 z)) (log.f64 1/2)) (fma.f64 -1 (neg.f64 (log.f64 y)) (/.f64 2 z))) (/.f64 2 (*.f64 z z)))
(+.f64 (fma.f64 -2 (neg.f64 (log.f64 z)) (log.f64 1/2)) (-.f64 (+.f64 (/.f64 2 z) (log.f64 y)) (/.f64 2 (*.f64 z z))))
(+.f64 (*.f64 (log.f64 z) 2) (+.f64 (log.f64 1/2) (+.f64 (/.f64 2 z) (-.f64 (log.f64 y) (/.f64 2 (*.f64 z z))))))
(-.f64 (+.f64 (*.f64 -2 (log.f64 (/.f64 1 z))) (+.f64 (log.f64 1/2) (+.f64 (*.f64 8/3 (/.f64 1 (pow.f64 z 3))) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 y))) (*.f64 2 (/.f64 1 z)))))) (*.f64 2 (/.f64 1 (pow.f64 z 2))))
(-.f64 (+.f64 (fma.f64 -2 (neg.f64 (log.f64 z)) (log.f64 1/2)) (+.f64 (/.f64 8/3 (pow.f64 z 3)) (fma.f64 -1 (neg.f64 (log.f64 y)) (/.f64 2 z)))) (/.f64 2 (*.f64 z z)))
(fma.f64 -2 (neg.f64 (log.f64 z)) (+.f64 (log.f64 1/2) (-.f64 (+.f64 (/.f64 8/3 (pow.f64 z 3)) (+.f64 (/.f64 2 z) (log.f64 y))) (/.f64 2 (*.f64 z z)))))
(+.f64 (*.f64 (log.f64 z) 2) (+.f64 (/.f64 8/3 (pow.f64 z 3)) (+.f64 (log.f64 1/2) (+.f64 (/.f64 2 z) (-.f64 (log.f64 y) (/.f64 2 (*.f64 z z)))))))
(+.f64 (log.f64 1/2) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 y))) (*.f64 -2 (log.f64 (/.f64 -1 z)))))
(+.f64 (log.f64 1/2) (fma.f64 -1 (neg.f64 (log.f64 y)) (*.f64 -2 (log.f64 (/.f64 -1 z)))))
(+.f64 (log.f64 1/2) (fma.f64 -2 (log.f64 (/.f64 -1 z)) (log.f64 y)))
(+.f64 (log.f64 1/2) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 y))) (+.f64 (*.f64 2 (/.f64 1 z)) (*.f64 -2 (log.f64 (/.f64 -1 z))))))
(+.f64 (log.f64 1/2) (+.f64 (fma.f64 -1 (neg.f64 (log.f64 y)) (/.f64 2 z)) (*.f64 -2 (log.f64 (/.f64 -1 z)))))
(+.f64 (+.f64 (/.f64 2 z) (fma.f64 -2 (log.f64 (/.f64 -1 z)) (log.f64 1/2))) (log.f64 y))
(+.f64 (log.f64 1/2) (+.f64 (/.f64 2 z) (fma.f64 -2 (log.f64 (/.f64 -1 z)) (log.f64 y))))
(-.f64 (+.f64 (log.f64 1/2) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 y))) (+.f64 (*.f64 2 (/.f64 1 z)) (*.f64 -2 (log.f64 (/.f64 -1 z)))))) (*.f64 2 (/.f64 1 (pow.f64 z 2))))
(-.f64 (+.f64 (log.f64 1/2) (+.f64 (fma.f64 -1 (neg.f64 (log.f64 y)) (/.f64 2 z)) (*.f64 -2 (log.f64 (/.f64 -1 z))))) (/.f64 2 (*.f64 z z)))
(+.f64 (log.f64 1/2) (+.f64 (fma.f64 -2 (log.f64 (/.f64 -1 z)) (/.f64 2 z)) (-.f64 (log.f64 y) (/.f64 2 (*.f64 z z)))))
(+.f64 (log.f64 1/2) (+.f64 (+.f64 (/.f64 2 z) (log.f64 y)) (fma.f64 -2 (log.f64 (/.f64 -1 z)) (/.f64 -2 (*.f64 z z)))))
(-.f64 (+.f64 (log.f64 1/2) (+.f64 (*.f64 8/3 (/.f64 1 (pow.f64 z 3))) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 y))) (+.f64 (*.f64 2 (/.f64 1 z)) (*.f64 -2 (log.f64 (/.f64 -1 z))))))) (*.f64 2 (/.f64 1 (pow.f64 z 2))))
(-.f64 (+.f64 (+.f64 (log.f64 1/2) (/.f64 8/3 (pow.f64 z 3))) (+.f64 (fma.f64 -1 (neg.f64 (log.f64 y)) (/.f64 2 z)) (*.f64 -2 (log.f64 (/.f64 -1 z))))) (/.f64 2 (*.f64 z z)))
(+.f64 (+.f64 (fma.f64 -2 (log.f64 (/.f64 -1 z)) (/.f64 2 z)) (+.f64 (/.f64 8/3 (pow.f64 z 3)) (log.f64 y))) (-.f64 (log.f64 1/2) (/.f64 2 (*.f64 z z))))
(+.f64 (log.f64 1/2) (+.f64 (/.f64 8/3 (pow.f64 z 3)) (+.f64 (+.f64 (/.f64 2 z) (log.f64 y)) (fma.f64 -2 (log.f64 (/.f64 -1 z)) (/.f64 -2 (*.f64 z z))))))

eval785.0ms (3.4%)

Compiler

Compiled 20400 to 12220 computations (40.1% saved)

prune249.0ms (1.1%)

Pruning

30 alts after pruning (23 fresh and 7 done)

PrunedKeptTotal
New75417771
Fresh8614
Picked101
Done178
Total76430794
Error
0.2b
Counts
794 → 30
Alt Table
Click to see full alt table
StatusErrorProgram
✓0.5b
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))
57.9b
(-.f64 (*.f64 (/.f64 z (/.f64 t z)) (*.f64 (-.f64 y (*.f64 y y)) -1/2)) (*.f64 (/.f64 y t) z))
✓14.7b
(-.f64 x (*.f64 (/.f64 z t) y))
▶14.5b
(-.f64 x (/.f64 1 (/.f64 t (*.f64 z y))))
▶57.1b
(*.f64 (neg.f64 (/.f64 y t)) z)
39.1b
(-.f64 x (/.f64 1 (*.f64 z (*.f64 y t))))
63.2b
(-.f64 x (/.f64 (+.f64 (log.f64 (*.f64 y 1/2)) (+.f64 (+.f64 (/.f64 2 z) (/.f64 (+.f64 -2 (/.f64 2 y)) (*.f64 z z))) (+.f64 (*.f64 2 (log.f64 z)) (/.f64 (+.f64 8/3 (/.f64 -4 y)) (pow.f64 z 3))))) t))
11.4b
(-.f64 x (/.f64 1 (+.f64 (/.f64 t (*.f64 (-.f64 (exp.f64 z) 1) y)) (*.f64 1/2 t))))
60.2b
(-.f64 x (/.f64 (+.f64 (-.f64 (/.f64 (/.f64 2 z) (*.f64 z y)) (/.f64 (/.f64 4 y) (pow.f64 z 3))) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 y))) (log.f64 (*.f64 (+.f64 1 (*.f64 1/2 z)) z)))) t))
40.0b
(-.f64 x (/.f64 1 (*.f64 y (*.f64 t z))))
▶47.4b
(*.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (/.f64 1 (neg.f64 t)))
15.8b
x
✓17.0b
(-.f64 x (*.f64 (/.f64 y t) z))
▶0.6b
(fma.f64 (/.f64 -1 t) (log1p.f64 (*.f64 y (expm1.f64 z))) x)
51.5b
(/.f64 (neg.f64 (*.f64 y (expm1.f64 z))) t)
✓15.0b
(-.f64 x (/.f64 (log1p.f64 (*.f64 z (+.f64 (*.f64 y (*.f64 1/2 z)) y))) t))
✓17.0b
(-.f64 x (/.f64 (*.f64 (+.f64 1 (*.f64 1/2 z)) (*.f64 y z)) t))
23.2b
(-.f64 x (/.f64 (*.f64 (*.f64 y z) (*.f64 z 1/2)) t))
0.6b
(-.f64 x (/.f64 (/.f64 1 t) (/.f64 1 (log1p.f64 (*.f64 y (expm1.f64 z))))))
✓6.5b
(-.f64 x (*.f64 (/.f64 (expm1.f64 z) t) y))
14.5b
(-.f64 x (*.f64 (/.f64 1 t) (*.f64 z y)))
▶10.5b
(-.f64 x (/.f64 (log1p.f64 (*.f64 y z)) t))
38.8b
(-.f64 x (/.f64 1 (*.f64 (+.f64 1 (*.f64 1/2 z)) (*.f64 y (*.f64 t z)))))
15.1b
(-.f64 x (/.f64 1 (/.f64 t (log1p.f64 (*.f64 z (+.f64 (*.f64 y (*.f64 1/2 z)) y))))))
0.6b
(-.f64 x (/.f64 1 (/.f64 t (expm1.f64 (log1p.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))))))
53.3b
(/.f64 (neg.f64 (log1p.f64 (*.f64 y (+.f64 z (*.f64 z (*.f64 z 1/2)))))) t)
22.0b
(-.f64 x (/.f64 1 (/.f64 t (exp.f64 (log.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))))))
22.9b
(-.f64 x (/.f64 1 (fma.f64 -1/2 (*.f64 (/.f64 t (*.f64 y y)) (-.f64 y (*.f64 y y))) (/.f64 t (*.f64 z y)))))
55.3b
(/.f64 (neg.f64 (*.f64 y z)) t)
✓47.3b
(/.f64 (neg.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) t)
Compiler

Compiled 887 to 628 computations (29.2% saved)

localize26.0ms (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)

series12.0ms (0.1%)

Counts
1 → 48
Calls

12 calls:

TimeVariablePointExpression
1.0ms
t
@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)
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)

rewrite78.0ms (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))))))

simplify87.0ms (0.4%)

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))))
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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 (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))

localize15.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓4.7b
(*.f64 (neg.f64 (/.f64 y t)) z)
Compiler

Compiled 20 to 7 computations (65% saved)

series5.0ms (0%)

Counts
1 → 36
Calls

9 calls:

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

rewrite86.0ms (0.4%)

Algorithm
1×batch-egg-rewrite
Rules
693×pow1_binary64
639×add-log-exp_binary64
638×log1p-expm1-u_binary64
638×expm1-log1p-u_binary64
625×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
079
11497
220327
Stop Event
1×node limit
Counts
1 → 20
Calls
Call 1
Inputs
(*.f64 (neg.f64 (/.f64 y t)) z)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 (/.f64 y t) z))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (/.f64 y t) z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 z (/.f64 t y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y z) t)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 y) z) t)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 y) z) (neg.f64 t))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 z (neg.f64 y)) t)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 y t) z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 y t) z) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 y t) z)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 y t) z)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (/.f64 y t) z))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (/.f64 y t) z) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 z) (/.f64 y t)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 y t) z) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 y t) 3) (pow.f64 z 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 z 3) (pow.f64 (/.f64 y t) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 y t) z)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 y t) z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 y t) z)))))))

simplify56.0ms (0.2%)

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
56 → 22
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)))

localize24.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.3b
(/.f64 1 (/.f64 t (*.f64 z y)))
✓3.7b
(/.f64 t (*.f64 z y))
Compiler

Compiled 33 to 12 computations (63.6% saved)

series12.0ms (0.1%)

Counts
2 → 72
Calls

18 calls:

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

rewrite103.0ms (0.5%)

Algorithm
1×batch-egg-rewrite
Rules
871×pow1_binary64
806×add-log-exp_binary64
806×log1p-expm1-u_binary64
806×expm1-log1p-u_binary64
787×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0817
116614
2222014
Stop Event
1×node limit
Counts
2 → 83
Calls
Call 1
Inputs
(/.f64 t (*.f64 z y))
(/.f64 1 (/.f64 t (*.f64 z y)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 t (*.f64 z y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 t (/.f64 1 (*.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 t (*.f64 z y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 t (*.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 t) 2) (*.f64 (cbrt.f64 t) (/.f64 1 (*.f64 z y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 t (*.f64 z y))) (pow.f64 (cbrt.f64 (/.f64 t (*.f64 z y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 t (*.f64 z y))) 2) (cbrt.f64 (/.f64 t (*.f64 z y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 t) (*.f64 (sqrt.f64 t) (/.f64 1 (*.f64 z y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 t (*.f64 z y))) (sqrt.f64 (/.f64 t (*.f64 z y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 t) (/.f64 1 (*.f64 z (neg.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 z y)) t)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 t z) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 z) (/.f64 t y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 t) 2) z) (/.f64 (cbrt.f64 t) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 t) z) (/.f64 (sqrt.f64 t) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 t) y) (/.f64 (sqrt.f64 t) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 y) (/.f64 t z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 t) 2) y) (/.f64 (cbrt.f64 t) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 t) 2) 1) (/.f64 (cbrt.f64 t) (*.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 t) 1) (/.f64 (sqrt.f64 t) (*.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 z y)) 2)) (/.f64 t (cbrt.f64 (*.f64 z y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 t) 2) (pow.f64 (cbrt.f64 (*.f64 z y)) 2)) (cbrt.f64 (/.f64 t (*.f64 z y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 t) (pow.f64 (cbrt.f64 (*.f64 z y)) 2)) (/.f64 (sqrt.f64 t) (cbrt.f64 (*.f64 z y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (*.f64 z y))) (/.f64 t (sqrt.f64 (*.f64 z y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 t) 2) (sqrt.f64 (*.f64 z y))) (/.f64 (cbrt.f64 t) (sqrt.f64 (*.f64 z y))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 t (*.f64 z y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 t (*.f64 z y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 t (*.f64 z y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 t (*.f64 z y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 y (/.f64 t z)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 t (*.f64 z (neg.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 t (*.f64 z y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 t (*.f64 z y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 t (*.f64 z y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 t 3) (pow.f64 (*.f64 z y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 t (*.f64 z y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 t (*.f64 z y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 t (*.f64 z y))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 y (/.f64 t z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 z y) (/.f64 1 t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 y (/.f64 t z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 y (/.f64 t z))) (pow.f64 (cbrt.f64 (/.f64 y (/.f64 t z))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 y (/.f64 t z))) 2) (cbrt.f64 (/.f64 y (/.f64 t z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 y (/.f64 t z))) (sqrt.f64 (/.f64 y (/.f64 t z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (/.f64 (neg.f64 t) (*.f64 z y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (/.f64 t z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 t) (*.f64 z y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 t) (pow.f64 (/.f64 1 (*.f64 z y)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 t (*.f64 z y))) 2) -1) (pow.f64 (cbrt.f64 (/.f64 t (*.f64 z y))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (/.f64 t (*.f64 z y))) -1) (pow.f64 (sqrt.f64 (/.f64 t (*.f64 z y))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 z 1) (/.f64 y t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y 1) (/.f64 z t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 z y)) 2) 1) (/.f64 (cbrt.f64 (*.f64 z y)) t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 z y)) 1) (/.f64 (sqrt.f64 (*.f64 z y)) t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 z (pow.f64 (cbrt.f64 t) 2)) (/.f64 y (cbrt.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (pow.f64 (cbrt.f64 t) 2)) (/.f64 z (cbrt.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 t) 2)) (/.f64 (*.f64 z y) (cbrt.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 z y)) 2) (pow.f64 (cbrt.f64 t) 2)) (/.f64 (cbrt.f64 (*.f64 z y)) (cbrt.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 z y)) (pow.f64 (cbrt.f64 t) 2)) (/.f64 (sqrt.f64 (*.f64 z y)) (cbrt.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 z (sqrt.f64 t)) (/.f64 y (sqrt.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (sqrt.f64 t)) (/.f64 z (sqrt.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 t)) (/.f64 (*.f64 z y) (sqrt.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 z y)) 2) (sqrt.f64 t)) (/.f64 (cbrt.f64 (*.f64 z y)) (sqrt.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 z y)) (sqrt.f64 t)) (/.f64 (sqrt.f64 (*.f64 z y)) (sqrt.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (neg.f64 t)) (*.f64 z (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 t z)) y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 t) z) y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 t) y) z)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 t) 1) (*.f64 z y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 t) (pow.f64 (cbrt.f64 (*.f64 z y)) 2)) (cbrt.f64 (*.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 t) (sqrt.f64 (*.f64 z y))) (sqrt.f64 (*.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 t (*.f64 z y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 y (/.f64 t z)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 y (/.f64 t z))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 y (/.f64 t z))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 y (/.f64 t z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 t (*.f64 z y)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 y (/.f64 t z))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 y (/.f64 t z)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 z y) 3) (pow.f64 t 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 y (/.f64 t z))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 y (/.f64 t z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 y (/.f64 t z))))))))

simplify42.0ms (0.2%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
07504
112504
216504
319504
420504
Stop Event
1×saturated
Counts
155 → 86
Calls
Call 1
Inputs
(/.f64 t (*.f64 y z))
(/.f64 t (*.f64 y z))
(/.f64 t (*.f64 y z))
(/.f64 t (*.f64 y z))
(/.f64 t (*.f64 y z))
(/.f64 t (*.f64 y z))
(/.f64 t (*.f64 y z))
(/.f64 t (*.f64 y z))
(/.f64 t (*.f64 y z))
(/.f64 t (*.f64 y z))
(/.f64 t (*.f64 y z))
(/.f64 t (*.f64 y z))
(/.f64 t (*.f64 y z))
(/.f64 t (*.f64 y z))
(/.f64 t (*.f64 y z))
(/.f64 t (*.f64 y z))
(/.f64 t (*.f64 y z))
(/.f64 t (*.f64 y z))
(/.f64 t (*.f64 y z))
(/.f64 t (*.f64 y z))
(/.f64 t (*.f64 y z))
(/.f64 t (*.f64 y z))
(/.f64 t (*.f64 y z))
(/.f64 t (*.f64 y z))
(/.f64 t (*.f64 y z))
(/.f64 t (*.f64 y z))
(/.f64 t (*.f64 y z))
(/.f64 t (*.f64 y z))
(/.f64 t (*.f64 y z))
(/.f64 t (*.f64 y z))
(/.f64 t (*.f64 y z))
(/.f64 t (*.f64 y z))
(/.f64 t (*.f64 y z))
(/.f64 t (*.f64 y z))
(/.f64 t (*.f64 y z))
(/.f64 t (*.f64 y z))
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.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 t (*.f64 y z))
(/.f64 t (*.f64 y z))
(/.f64 t (*.f64 y z))
(/.f64 t (*.f64 y z))
(/.f64 t (*.f64 y z))
(/.f64 t (*.f64 y z))
(/.f64 t (*.f64 y z))
(/.f64 t (*.f64 y z))
(/.f64 t (*.f64 y z))
(/.f64 t (*.f64 y z))
(/.f64 t (*.f64 y z))
(/.f64 t (*.f64 y z))
(/.f64 t (*.f64 y z))
(/.f64 t (*.f64 y z))
(/.f64 t (*.f64 y z))
(/.f64 t (*.f64 y z))
(/.f64 t (*.f64 y z))
(/.f64 t (*.f64 y z))
(/.f64 t (*.f64 y z))
(/.f64 t (*.f64 y z))
(/.f64 t (*.f64 y z))
(/.f64 t (*.f64 y z))
(/.f64 t (*.f64 y z))
(/.f64 t (*.f64 y z))
(/.f64 t (*.f64 y z))
(/.f64 t (*.f64 y z))
(/.f64 t (*.f64 y z))
(/.f64 t (*.f64 y z))
(/.f64 t (*.f64 y z))
(/.f64 t (*.f64 y z))
(/.f64 t (*.f64 y z))
(/.f64 t (*.f64 y z))
(/.f64 t (*.f64 y z))
(/.f64 t (*.f64 y z))
(/.f64 t (*.f64 y z))
(/.f64 t (*.f64 y z))
(/.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))

localize24.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓1.7b
(log1p.f64 (*.f64 y z))
✓3.1b
(/.f64 (log1p.f64 (*.f64 y z)) t)
Compiler

Compiled 29 to 8 computations (72.4% saved)

series54.0ms (0.2%)

Counts
2 → 60
Calls

15 calls:

TimeVariablePointExpression
31.0ms
t
@0
(/.f64 (log1p.f64 (*.f64 y z)) t)
9.0ms
t
@inf
(/.f64 (log1p.f64 (*.f64 y z)) t)
2.0ms
y
@0
(/.f64 (log1p.f64 (*.f64 y z)) t)
2.0ms
y
@inf
(/.f64 (log1p.f64 (*.f64 y z)) t)
2.0ms
y
@-inf
(/.f64 (log1p.f64 (*.f64 y z)) t)

rewrite87.0ms (0.4%)

Algorithm
1×batch-egg-rewrite
Rules
723×pow1_binary64
664×add-log-exp_binary64
664×expm1-log1p-u_binary64
663×log1p-expm1-u_binary64
648×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0715
114115
2179215
Stop Event
1×node limit
Counts
2 → 46
Calls
Call 1
Inputs
(/.f64 (log1p.f64 (*.f64 y z)) t)
(log1p.f64 (*.f64 y z))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (log1p.f64 (*.f64 y z)) t)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log1p.f64 (*.f64 y z)) (/.f64 1 t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (log1p.f64 (*.f64 y z)) t) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (log1p.f64 (*.f64 y z)) t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y z))) 2) (*.f64 (cbrt.f64 (log1p.f64 (*.f64 y z))) (/.f64 1 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y z)) t)) (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y z)) t)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y z)) t)) 2) (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y z)) t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log1p.f64 (*.f64 y z))) (*.f64 (sqrt.f64 (log1p.f64 (*.f64 y z))) (/.f64 1 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (log1p.f64 (*.f64 y z)) t)) (sqrt.f64 (/.f64 (log1p.f64 (*.f64 y z)) t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (log1p.f64 (*.f64 y z))) (/.f64 1 (neg.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 t) (log1p.f64 (*.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y z))) 2) 1) (/.f64 (cbrt.f64 (log1p.f64 (*.f64 y z))) t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (log1p.f64 (*.f64 y z))) 1) (/.f64 (sqrt.f64 (log1p.f64 (*.f64 y z))) t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 t) 2)) (/.f64 (log1p.f64 (*.f64 y z)) (cbrt.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y z))) 2) (pow.f64 (cbrt.f64 t) 2)) (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y z)) t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (log1p.f64 (*.f64 y z))) (pow.f64 (cbrt.f64 t) 2)) (/.f64 (sqrt.f64 (log1p.f64 (*.f64 y z))) (cbrt.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 t)) (/.f64 (log1p.f64 (*.f64 y z)) (sqrt.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y z))) 2) (sqrt.f64 t)) (/.f64 (cbrt.f64 (log1p.f64 (*.f64 y z))) (sqrt.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (log1p.f64 (*.f64 y z)) t) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 y z)) t) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y z)) t)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (log1p.f64 (*.f64 y z)) t)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 t (log1p.f64 (*.f64 y z))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (log1p.f64 (*.f64 y z)) (neg.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 y z)) t) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (log1p.f64 (*.f64 y z)) t)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 y z)) t) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (log1p.f64 (*.f64 y z)) 3) (pow.f64 t 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (log1p.f64 (*.f64 y z)) t)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (log1p.f64 (*.f64 y z)) t)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (log1p.f64 (*.f64 y z)) t)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (log1p.f64 (*.f64 y z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log1p.f64 (*.f64 y z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log1p.f64 (*.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log1p.f64 (*.f64 y z))) (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y z))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y z))) 2) (cbrt.f64 (log1p.f64 (*.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log1p.f64 (*.f64 y z))) (sqrt.f64 (log1p.f64 (*.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log1p.f64 (*.f64 y z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log1p.f64 (*.f64 y z)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y z))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log1p.f64 (*.f64 y z))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log1p.f64 (*.f64 y z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 (*.f64 y z) 1))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log1p.f64 (*.f64 y z)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log1p.f64 (*.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log1p.f64 (*.f64 y z))))))))

simplify151.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
676×fma-neg_binary64
474×sub-neg_binary64
445×associate-+l+_binary64
417×fma-def_binary64
324×associate-/r*_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01501710
14511620
214041572
354621572
Stop Event
1×node limit
Counts
106 → 119
Calls
Call 1
Inputs
(/.f64 (*.f64 y z) t)
(+.f64 (/.f64 (*.f64 y z) t) (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 y 2) (pow.f64 z 2)) t)))
(+.f64 (/.f64 (*.f64 y z) t) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 y 2) (pow.f64 z 2)) t)) (*.f64 1/3 (/.f64 (*.f64 (pow.f64 y 3) (pow.f64 z 3)) t))))
(+.f64 (*.f64 -1/4 (/.f64 (*.f64 (pow.f64 y 4) (pow.f64 z 4)) t)) (+.f64 (/.f64 (*.f64 y z) t) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 y 2) (pow.f64 z 2)) t)) (*.f64 1/3 (/.f64 (*.f64 (pow.f64 y 3) (pow.f64 z 3)) t)))))
(/.f64 (+.f64 (log.f64 z) (*.f64 -1 (log.f64 (/.f64 1 y)))) t)
(+.f64 (/.f64 1 (*.f64 y (*.f64 t z))) (+.f64 (/.f64 (log.f64 z) t) (*.f64 -1 (/.f64 (log.f64 (/.f64 1 y)) t))))
(-.f64 (+.f64 (/.f64 1 (*.f64 y (*.f64 t z))) (+.f64 (/.f64 (log.f64 z) t) (*.f64 -1 (/.f64 (log.f64 (/.f64 1 y)) t)))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 y 2) (*.f64 t (pow.f64 z 2))))))
(-.f64 (+.f64 (/.f64 1 (*.f64 y (*.f64 t z))) (+.f64 (/.f64 (log.f64 z) t) (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 y)) t)) (*.f64 1/3 (/.f64 1 (*.f64 (pow.f64 y 3) (*.f64 t (pow.f64 z 3)))))))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 y 2) (*.f64 t (pow.f64 z 2))))))
(/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (*.f64 -1 z))) t)
(+.f64 (/.f64 1 (*.f64 y (*.f64 t z))) (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 y)) t)) (/.f64 (log.f64 (*.f64 -1 z)) t)))
(-.f64 (+.f64 (/.f64 1 (*.f64 y (*.f64 t z))) (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 y)) t)) (/.f64 (log.f64 (*.f64 -1 z)) t))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 y 2) (*.f64 t (pow.f64 z 2))))))
(-.f64 (+.f64 (/.f64 1 (*.f64 y (*.f64 t z))) (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 y)) t)) (+.f64 (/.f64 (log.f64 (*.f64 -1 z)) t) (*.f64 1/3 (/.f64 1 (*.f64 (pow.f64 y 3) (*.f64 t (pow.f64 z 3)))))))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 y 2) (*.f64 t (pow.f64 z 2))))))
(/.f64 (*.f64 y z) t)
(+.f64 (/.f64 (*.f64 y z) t) (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 y 2) (pow.f64 z 2)) t)))
(+.f64 (/.f64 (*.f64 y z) t) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 y 2) (pow.f64 z 2)) t)) (*.f64 1/3 (/.f64 (*.f64 (pow.f64 y 3) (pow.f64 z 3)) t))))
(+.f64 (*.f64 -1/4 (/.f64 (*.f64 (pow.f64 y 4) (pow.f64 z 4)) t)) (+.f64 (/.f64 (*.f64 y z) t) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 y 2) (pow.f64 z 2)) t)) (*.f64 1/3 (/.f64 (*.f64 (pow.f64 y 3) (pow.f64 z 3)) t)))))
(/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 z))) (log.f64 y)) t)
(+.f64 (/.f64 1 (*.f64 y (*.f64 t z))) (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 z)) t)) (/.f64 (log.f64 y) t)))
(-.f64 (+.f64 (/.f64 1 (*.f64 y (*.f64 t z))) (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 z)) t)) (/.f64 (log.f64 y) t))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 y 2) (*.f64 t (pow.f64 z 2))))))
(-.f64 (+.f64 (/.f64 1 (*.f64 y (*.f64 t z))) (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 z)) t)) (+.f64 (/.f64 (log.f64 y) t) (*.f64 1/3 (/.f64 1 (*.f64 (pow.f64 y 3) (*.f64 t (pow.f64 z 3)))))))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 y 2) (*.f64 t (pow.f64 z 2))))))
(/.f64 (+.f64 (log.f64 (*.f64 -1 y)) (*.f64 -1 (log.f64 (/.f64 -1 z)))) t)
(+.f64 (/.f64 1 (*.f64 y (*.f64 t z))) (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 z)) t)) (/.f64 (log.f64 (*.f64 -1 y)) t)))
(-.f64 (+.f64 (/.f64 1 (*.f64 y (*.f64 t z))) (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 z)) t)) (/.f64 (log.f64 (*.f64 -1 y)) t))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 y 2) (*.f64 t (pow.f64 z 2))))))
(-.f64 (+.f64 (/.f64 1 (*.f64 y (*.f64 t z))) (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 z)) t)) (+.f64 (*.f64 1/3 (/.f64 1 (*.f64 (pow.f64 y 3) (*.f64 t (pow.f64 z 3))))) (/.f64 (log.f64 (*.f64 -1 y)) t)))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 y 2) (*.f64 t (pow.f64 z 2))))))
(/.f64 (log.f64 (+.f64 (*.f64 y z) 1)) t)
(/.f64 (log.f64 (+.f64 (*.f64 y z) 1)) t)
(/.f64 (log.f64 (+.f64 (*.f64 y z) 1)) t)
(/.f64 (log.f64 (+.f64 (*.f64 y z) 1)) t)
(/.f64 (log.f64 (+.f64 (*.f64 y z) 1)) t)
(/.f64 (log.f64 (+.f64 (*.f64 y z) 1)) t)
(/.f64 (log.f64 (+.f64 (*.f64 y z) 1)) t)
(/.f64 (log.f64 (+.f64 (*.f64 y z) 1)) t)
(/.f64 (log.f64 (+.f64 (*.f64 y z) 1)) t)
(/.f64 (log.f64 (+.f64 (*.f64 y z) 1)) t)
(/.f64 (log.f64 (+.f64 (*.f64 y z) 1)) t)
(/.f64 (log.f64 (+.f64 (*.f64 y z) 1)) t)
(*.f64 y z)
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) (pow.f64 z 2))) (*.f64 y z))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) (pow.f64 z 2))) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 y 3) (pow.f64 z 3))) (*.f64 y z)))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) (pow.f64 z 2))) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 y 3) (pow.f64 z 3))) (+.f64 (*.f64 y z) (*.f64 -1/4 (*.f64 (pow.f64 y 4) (pow.f64 z 4))))))
(+.f64 (log.f64 z) (*.f64 -1 (log.f64 (/.f64 1 y))))
(+.f64 (log.f64 z) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 y))) (/.f64 1 (*.f64 y z))))
(-.f64 (+.f64 (log.f64 z) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 y))) (/.f64 1 (*.f64 y z)))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 z 2)))))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (*.f64 (pow.f64 y 3) (pow.f64 z 3)))) (+.f64 (log.f64 z) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 y))) (/.f64 1 (*.f64 y z))))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 z 2)))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (*.f64 -1 z)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (+.f64 (log.f64 (*.f64 -1 z)) (/.f64 1 (*.f64 y z))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (+.f64 (log.f64 (*.f64 -1 z)) (/.f64 1 (*.f64 y z)))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 z 2)))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (+.f64 (*.f64 1/3 (/.f64 1 (*.f64 (pow.f64 y 3) (pow.f64 z 3)))) (+.f64 (log.f64 (*.f64 -1 z)) (/.f64 1 (*.f64 y z))))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 z 2)))))
(*.f64 y z)
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) (pow.f64 z 2))) (*.f64 y z))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) (pow.f64 z 2))) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 y 3) (pow.f64 z 3))) (*.f64 y z)))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) (pow.f64 z 2))) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 y 3) (pow.f64 z 3))) (+.f64 (*.f64 y z) (*.f64 -1/4 (*.f64 (pow.f64 y 4) (pow.f64 z 4))))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 z))) (log.f64 y))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 z))) (+.f64 (/.f64 1 (*.f64 y z)) (log.f64 y)))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 z))) (+.f64 (/.f64 1 (*.f64 y z)) (log.f64 y))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 z 2)))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 z))) (+.f64 (*.f64 1/3 (/.f64 1 (*.f64 (pow.f64 y 3) (pow.f64 z 3)))) (+.f64 (/.f64 1 (*.f64 y z)) (log.f64 y)))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 z 2)))))
(+.f64 (log.f64 (*.f64 -1 y)) (*.f64 -1 (log.f64 (/.f64 -1 z))))
(+.f64 (log.f64 (*.f64 -1 y)) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 z))) (/.f64 1 (*.f64 y z))))
(-.f64 (+.f64 (log.f64 (*.f64 -1 y)) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 z))) (/.f64 1 (*.f64 y z)))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 z 2)))))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (*.f64 (pow.f64 y 3) (pow.f64 z 3)))) (+.f64 (log.f64 (*.f64 -1 y)) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 z))) (/.f64 1 (*.f64 y z))))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 z 2)))))
Outputs
(/.f64 (*.f64 y z) t)
(/.f64 y (/.f64 t z))
(*.f64 z (/.f64 y t))
(+.f64 (/.f64 (*.f64 y z) t) (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 y 2) (pow.f64 z 2)) t)))
(+.f64 (/.f64 y (/.f64 t z)) (*.f64 -1/2 (/.f64 (*.f64 y y) (/.f64 t (*.f64 z z)))))
(fma.f64 -1/2 (*.f64 (/.f64 (*.f64 y y) t) (*.f64 z z)) (/.f64 y (/.f64 t z)))
(fma.f64 -1/2 (*.f64 (*.f64 z z) (/.f64 y (/.f64 t y))) (*.f64 z (/.f64 y t)))
(+.f64 (/.f64 (*.f64 y z) t) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 y 2) (pow.f64 z 2)) t)) (*.f64 1/3 (/.f64 (*.f64 (pow.f64 y 3) (pow.f64 z 3)) t))))
(+.f64 (/.f64 y (/.f64 t z)) (fma.f64 -1/2 (/.f64 (*.f64 y y) (/.f64 t (*.f64 z z))) (/.f64 (*.f64 1/3 (*.f64 (pow.f64 y 3) (pow.f64 z 3))) t)))
(+.f64 (/.f64 y (/.f64 t z)) (fma.f64 -1/2 (*.f64 (/.f64 (*.f64 y y) t) (*.f64 z z)) (/.f64 (*.f64 (pow.f64 y 3) (pow.f64 z 3)) (/.f64 t 1/3))))
(fma.f64 1/3 (*.f64 (pow.f64 z 3) (/.f64 (pow.f64 y 3) t)) (fma.f64 -1/2 (*.f64 (*.f64 z z) (/.f64 y (/.f64 t y))) (*.f64 z (/.f64 y t))))
(fma.f64 -1/2 (*.f64 (*.f64 z z) (/.f64 y (/.f64 t y))) (fma.f64 (/.f64 y t) z (*.f64 (/.f64 1/3 t) (*.f64 (pow.f64 y 3) (pow.f64 z 3)))))
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(/.f64 (log.f64 (+.f64 (*.f64 y z) 1)) t)
(/.f64 (log.f64 (fma.f64 y z 1)) t)
(/.f64 (log1p.f64 (*.f64 y z)) t)
(/.f64 (log.f64 (+.f64 (*.f64 y z) 1)) t)
(/.f64 (log.f64 (fma.f64 y z 1)) t)
(/.f64 (log1p.f64 (*.f64 y z)) t)
(/.f64 (log.f64 (+.f64 (*.f64 y z) 1)) t)
(/.f64 (log.f64 (fma.f64 y z 1)) t)
(/.f64 (log1p.f64 (*.f64 y z)) t)
(/.f64 (log.f64 (+.f64 (*.f64 y z) 1)) t)
(/.f64 (log.f64 (fma.f64 y z 1)) t)
(/.f64 (log1p.f64 (*.f64 y z)) t)
(/.f64 (log.f64 (+.f64 (*.f64 y z) 1)) t)
(/.f64 (log.f64 (fma.f64 y z 1)) t)
(/.f64 (log1p.f64 (*.f64 y z)) t)
(/.f64 (log.f64 (+.f64 (*.f64 y z) 1)) t)
(/.f64 (log.f64 (fma.f64 y z 1)) t)
(/.f64 (log1p.f64 (*.f64 y z)) t)
(/.f64 (log.f64 (+.f64 (*.f64 y z) 1)) t)
(/.f64 (log.f64 (fma.f64 y z 1)) t)
(/.f64 (log1p.f64 (*.f64 y z)) t)
(/.f64 (log.f64 (+.f64 (*.f64 y z) 1)) t)
(/.f64 (log.f64 (fma.f64 y z 1)) t)
(/.f64 (log1p.f64 (*.f64 y z)) t)
(/.f64 (log.f64 (+.f64 (*.f64 y z) 1)) t)
(/.f64 (log.f64 (fma.f64 y z 1)) t)
(/.f64 (log1p.f64 (*.f64 y z)) t)
(/.f64 (log.f64 (+.f64 (*.f64 y z) 1)) t)
(/.f64 (log.f64 (fma.f64 y z 1)) t)
(/.f64 (log1p.f64 (*.f64 y z)) t)
(/.f64 (log.f64 (+.f64 (*.f64 y z) 1)) t)
(/.f64 (log.f64 (fma.f64 y z 1)) t)
(/.f64 (log1p.f64 (*.f64 y z)) t)
(/.f64 (log.f64 (+.f64 (*.f64 y z) 1)) t)
(/.f64 (log.f64 (fma.f64 y z 1)) t)
(/.f64 (log1p.f64 (*.f64 y z)) t)
(*.f64 y z)
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) (pow.f64 z 2))) (*.f64 y z))
(fma.f64 -1/2 (*.f64 (*.f64 y y) (*.f64 z z)) (*.f64 y z))
(fma.f64 y z (*.f64 -1/2 (*.f64 y (*.f64 y (*.f64 z z)))))
(*.f64 z (+.f64 y (*.f64 -1/2 (*.f64 z (*.f64 y y)))))
(*.f64 z (+.f64 y (*.f64 (*.f64 y -1/2) (*.f64 y z))))
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(fma.f64 -1/2 (*.f64 (*.f64 y y) (*.f64 z z)) (fma.f64 1/3 (*.f64 (pow.f64 y 3) (pow.f64 z 3)) (*.f64 y z)))
(fma.f64 -1/2 (*.f64 y (*.f64 y (*.f64 z z))) (fma.f64 y z (*.f64 1/3 (*.f64 (pow.f64 y 3) (pow.f64 z 3)))))
(fma.f64 y z (*.f64 (*.f64 z z) (+.f64 (*.f64 y (*.f64 y -1/2)) (*.f64 (pow.f64 y 3) (*.f64 1/3 z)))))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) (pow.f64 z 2))) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 y 3) (pow.f64 z 3))) (+.f64 (*.f64 y z) (*.f64 -1/4 (*.f64 (pow.f64 y 4) (pow.f64 z 4))))))
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(fma.f64 -1/2 (*.f64 y (*.f64 y (*.f64 z z))) (fma.f64 1/3 (*.f64 (pow.f64 y 3) (pow.f64 z 3)) (fma.f64 -1/4 (*.f64 (pow.f64 y 4) (pow.f64 z 4)) (*.f64 y z))))
(fma.f64 -1/2 (*.f64 z (*.f64 z (*.f64 y y))) (fma.f64 1/3 (*.f64 (pow.f64 y 3) (pow.f64 z 3)) (fma.f64 y z (*.f64 (pow.f64 z 4) (*.f64 -1/4 (pow.f64 y 4))))))
(fma.f64 -1/2 (*.f64 z (*.f64 y (*.f64 y z))) (fma.f64 y z (fma.f64 -1/4 (*.f64 (pow.f64 y 4) (pow.f64 z 4)) (*.f64 (pow.f64 y 3) (*.f64 1/3 (pow.f64 z 3))))))
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(+.f64 (log.f64 y) (+.f64 (+.f64 (log.f64 z) (/.f64 1 (*.f64 y z))) (/.f64 -1/2 (*.f64 z (*.f64 y (*.f64 y z))))))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (*.f64 (pow.f64 y 3) (pow.f64 z 3)))) (+.f64 (log.f64 z) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 y))) (/.f64 1 (*.f64 y z))))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 z 2)))))
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(+.f64 (/.f64 1 (*.f64 y z)) (+.f64 (+.f64 (log.f64 y) (/.f64 1/3 (*.f64 (pow.f64 y 3) (pow.f64 z 3)))) (-.f64 (log.f64 z) (/.f64 (/.f64 1/2 (*.f64 y y)) (*.f64 z z)))))
(+.f64 (+.f64 (log.f64 y) (+.f64 (+.f64 (log.f64 z) (/.f64 1 (*.f64 y z))) (/.f64 -1/2 (*.f64 z (*.f64 y (*.f64 y z)))))) (/.f64 1/3 (*.f64 (pow.f64 y 3) (pow.f64 z 3))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (*.f64 -1 z)))
(fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 (neg.f64 z)))
(-.f64 (log.f64 (neg.f64 z)) (log.f64 (/.f64 -1 y)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (+.f64 (log.f64 (*.f64 -1 z)) (/.f64 1 (*.f64 y z))))
(+.f64 (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 (neg.f64 z))) (/.f64 1 (*.f64 y z)))
(-.f64 (+.f64 (log.f64 (neg.f64 z)) (/.f64 1 (*.f64 y z))) (log.f64 (/.f64 -1 y)))
(+.f64 (log.f64 (neg.f64 z)) (-.f64 (/.f64 1 (*.f64 y z)) (log.f64 (/.f64 -1 y))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (+.f64 (log.f64 (*.f64 -1 z)) (/.f64 1 (*.f64 y z)))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 z 2)))))
(-.f64 (+.f64 (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 (neg.f64 z))) (/.f64 1 (*.f64 y z))) (/.f64 1/2 (*.f64 (*.f64 y y) (*.f64 z z))))
(+.f64 (-.f64 (log.f64 (neg.f64 z)) (log.f64 (/.f64 -1 y))) (-.f64 (/.f64 1 (*.f64 y z)) (/.f64 1/2 (*.f64 y (*.f64 y (*.f64 z z))))))
(+.f64 (-.f64 (log.f64 (neg.f64 z)) (log.f64 (/.f64 -1 y))) (+.f64 (/.f64 1 (*.f64 y z)) (/.f64 -1/2 (*.f64 z (*.f64 z (*.f64 y y))))))
(+.f64 (log.f64 (neg.f64 z)) (+.f64 (/.f64 1 (*.f64 y z)) (-.f64 (/.f64 -1/2 (*.f64 z (*.f64 y (*.f64 y z)))) (log.f64 (/.f64 -1 y)))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (+.f64 (*.f64 1/3 (/.f64 1 (*.f64 (pow.f64 y 3) (pow.f64 z 3)))) (+.f64 (log.f64 (*.f64 -1 z)) (/.f64 1 (*.f64 y z))))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 z 2)))))
(-.f64 (fma.f64 -1 (log.f64 (/.f64 -1 y)) (+.f64 (+.f64 (/.f64 1/3 (*.f64 (pow.f64 y 3) (pow.f64 z 3))) (log.f64 (neg.f64 z))) (/.f64 1 (*.f64 y z)))) (/.f64 1/2 (*.f64 (*.f64 y y) (*.f64 z z))))
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(+.f64 (/.f64 1/3 (*.f64 (pow.f64 y 3) (pow.f64 z 3))) (+.f64 (-.f64 (log.f64 (neg.f64 z)) (log.f64 (/.f64 -1 y))) (+.f64 (/.f64 1 (*.f64 y z)) (/.f64 -1/2 (*.f64 z (*.f64 z (*.f64 y y)))))))
(+.f64 (+.f64 (log.f64 (neg.f64 z)) (/.f64 1 (*.f64 y z))) (+.f64 (-.f64 (/.f64 1/3 (*.f64 (pow.f64 y 3) (pow.f64 z 3))) (log.f64 (/.f64 -1 y))) (/.f64 -1/2 (*.f64 z (*.f64 y (*.f64 y z))))))
(*.f64 y z)
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) (pow.f64 z 2))) (*.f64 y z))
(fma.f64 -1/2 (*.f64 (*.f64 y y) (*.f64 z z)) (*.f64 y z))
(fma.f64 y z (*.f64 -1/2 (*.f64 y (*.f64 y (*.f64 z z)))))
(*.f64 z (+.f64 y (*.f64 -1/2 (*.f64 z (*.f64 y y)))))
(*.f64 z (+.f64 y (*.f64 (*.f64 y -1/2) (*.f64 y z))))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) (pow.f64 z 2))) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 y 3) (pow.f64 z 3))) (*.f64 y z)))
(fma.f64 -1/2 (*.f64 (*.f64 y y) (*.f64 z z)) (fma.f64 1/3 (*.f64 (pow.f64 y 3) (pow.f64 z 3)) (*.f64 y z)))
(fma.f64 -1/2 (*.f64 y (*.f64 y (*.f64 z z))) (fma.f64 y z (*.f64 1/3 (*.f64 (pow.f64 y 3) (pow.f64 z 3)))))
(fma.f64 y z (*.f64 (*.f64 z z) (+.f64 (*.f64 y (*.f64 y -1/2)) (*.f64 (pow.f64 y 3) (*.f64 1/3 z)))))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) (pow.f64 z 2))) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 y 3) (pow.f64 z 3))) (+.f64 (*.f64 y z) (*.f64 -1/4 (*.f64 (pow.f64 y 4) (pow.f64 z 4))))))
(fma.f64 -1/2 (*.f64 (*.f64 y y) (*.f64 z z)) (fma.f64 1/3 (*.f64 (pow.f64 y 3) (pow.f64 z 3)) (fma.f64 y z (*.f64 -1/4 (*.f64 (pow.f64 y 4) (pow.f64 z 4))))))
(fma.f64 -1/2 (*.f64 y (*.f64 y (*.f64 z z))) (fma.f64 1/3 (*.f64 (pow.f64 y 3) (pow.f64 z 3)) (fma.f64 -1/4 (*.f64 (pow.f64 y 4) (pow.f64 z 4)) (*.f64 y z))))
(fma.f64 -1/2 (*.f64 z (*.f64 z (*.f64 y y))) (fma.f64 1/3 (*.f64 (pow.f64 y 3) (pow.f64 z 3)) (fma.f64 y z (*.f64 (pow.f64 z 4) (*.f64 -1/4 (pow.f64 y 4))))))
(fma.f64 -1/2 (*.f64 z (*.f64 y (*.f64 y z))) (fma.f64 y z (fma.f64 -1/4 (*.f64 (pow.f64 y 4) (pow.f64 z 4)) (*.f64 (pow.f64 y 3) (*.f64 1/3 (pow.f64 z 3))))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 z))) (log.f64 y))
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(+.f64 (log.f64 z) (fma.f64 -1 (neg.f64 (log.f64 y)) (/.f64 1 (*.f64 y z))))
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(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 z))) (+.f64 (/.f64 1 (*.f64 y z)) (log.f64 y))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 z 2)))))
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(+.f64 (+.f64 (log.f64 z) (log.f64 y)) (+.f64 (/.f64 1 (*.f64 y z)) (/.f64 -1/2 (*.f64 z (*.f64 z (*.f64 y y))))))
(+.f64 (log.f64 y) (+.f64 (+.f64 (log.f64 z) (/.f64 1 (*.f64 y z))) (/.f64 -1/2 (*.f64 z (*.f64 y (*.f64 y z))))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 z))) (+.f64 (*.f64 1/3 (/.f64 1 (*.f64 (pow.f64 y 3) (pow.f64 z 3)))) (+.f64 (/.f64 1 (*.f64 y z)) (log.f64 y)))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 z 2)))))
(+.f64 (/.f64 1/3 (*.f64 (pow.f64 y 3) (pow.f64 z 3))) (+.f64 (log.f64 z) (-.f64 (fma.f64 -1 (neg.f64 (log.f64 y)) (/.f64 1 (*.f64 y z))) (/.f64 1/2 (*.f64 (*.f64 y y) (*.f64 z z))))))
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(+.f64 (/.f64 1 (*.f64 y z)) (+.f64 (+.f64 (log.f64 y) (/.f64 1/3 (*.f64 (pow.f64 y 3) (pow.f64 z 3)))) (-.f64 (log.f64 z) (/.f64 (/.f64 1/2 (*.f64 y y)) (*.f64 z z)))))
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(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (*.f64 (pow.f64 y 3) (pow.f64 z 3)))) (+.f64 (log.f64 (*.f64 -1 y)) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 z))) (/.f64 1 (*.f64 y z))))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 z 2)))))
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(+.f64 (+.f64 (-.f64 (/.f64 1 (*.f64 y z)) (log.f64 (/.f64 -1 z))) (/.f64 -1/2 (*.f64 z (*.f64 z (*.f64 y y))))) (+.f64 (log.f64 (neg.f64 y)) (/.f64 1/3 (*.f64 (pow.f64 y 3) (pow.f64 z 3)))))
(+.f64 (log.f64 (neg.f64 y)) (+.f64 (-.f64 (-.f64 (/.f64 1 (*.f64 y z)) (log.f64 (/.f64 -1 z))) (/.f64 1/2 (*.f64 z (*.f64 y (*.f64 y z))))) (/.f64 1/3 (*.f64 (pow.f64 y 3) (pow.f64 z 3)))))

localize49.0ms (0.2%)

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))
✓3.1b
(*.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (/.f64 1 (neg.f64 t)))
Compiler

Compiled 35 to 14 computations (60% saved)

series6.0ms (0%)

Counts
1 → 36
Calls

9 calls:

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

rewrite87.0ms (0.4%)

Algorithm
1×batch-egg-rewrite
Rules
881×pow1_binary64
807×add-log-exp_binary64
807×expm1-log1p-u_binary64
806×log1p-expm1-u_binary64
788×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01113
121611
2263211
Stop Event
1×node limit
Counts
1 → 25
Calls
Call 1
Inputs
(*.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (/.f64 1 (neg.f64 t)))
Outputs
((#(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 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 t (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) (/.f64 t (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))) (/.f64 t (sqrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) t)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (sqrt.f64 t)) (sqrt.f64 t))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) 1) t)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (pow.f64 (cbrt.f64 t) 2)) (cbrt.f64 t))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) -1) t)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (log1p.f64 (*.f64 (expm1.f64 z) y))) t)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) -1) 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 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 cbrt.f64 (*.f64 (pow.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) 3) (/.f64 (pow.f64 t -2) t)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (/.f64 (pow.f64 t -2) t) (pow.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) 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)))))))

simplify102.0ms (0.4%)

Algorithm
1×egg-herbie
Rules
508×associate-*r*_binary64
484×associate-*l*_binary64
416×cancel-sign-sub-inv_binary64
412×unswap-sqr_binary64
402×fma-neg_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0116976
1350936
21182933
35999931
Stop Event
1×node limit
Counts
61 → 59
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))
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 (*.f64 (*.f64 -1/2 (*.f64 z z)) (-.f64 y (*.f64 y y))) t) (*.f64 (/.f64 y t) z))
(fma.f64 -1/2 (*.f64 (-.f64 y (*.f64 y y)) (/.f64 z (/.f64 t z))) (*.f64 (/.f64 y t) (neg.f64 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 (pow.f64 z 3) (/.f64 t (fma.f64 (*.f64 y y) -3 (fma.f64 2 (pow.f64 y 3) y)))) (/.f64 (*.f64 (*.f64 -1/2 (*.f64 z z)) (-.f64 y (*.f64 y y))) t)) (*.f64 (/.f64 y t) z))
(-.f64 (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)) (*.f64 -1/2 (*.f64 (-.f64 y (*.f64 y y)) (/.f64 z (/.f64 t z))))) (*.f64 z (/.f64 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)))))
(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 (pow.f64 z 3) (/.f64 t (fma.f64 (*.f64 y y) -3 (fma.f64 2 (pow.f64 y 3) y)))) (/.f64 (*.f64 (*.f64 -1/2 (*.f64 z z)) (-.f64 y (*.f64 y y))) t)) (*.f64 (/.f64 y t) z)))
(-.f64 (fma.f64 -1/24 (*.f64 (+.f64 (fma.f64 -6 (pow.f64 y 4) (*.f64 (*.f64 y y) (+.f64 (*.f64 y 12) -4))) (fma.f64 y (*.f64 y -3) y)) (/.f64 (pow.f64 z 4) t)) (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)) (*.f64 -1/2 (*.f64 (-.f64 y (*.f64 y y)) (/.f64 z (/.f64 t z)))))) (*.f64 z (/.f64 y t)))
(fma.f64 -1/24 (*.f64 (+.f64 (fma.f64 -6 (pow.f64 y 4) (*.f64 (*.f64 y y) (+.f64 (*.f64 y 12) -4))) (fma.f64 y (*.f64 y -3) y)) (/.f64 (pow.f64 z 4) t)) (-.f64 (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)) (*.f64 -1/2 (*.f64 (-.f64 y (*.f64 y y)) (/.f64 z (/.f64 t z))))) (*.f64 z (/.f64 y t))))
(*.f64 -1 (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t))
(neg.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))
(/.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) t)
(*.f64 -1 (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t))
(neg.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))
(/.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) t)
(*.f64 -1 (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t))
(neg.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))
(/.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) t)
(*.f64 -1 (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t))
(neg.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))
(/.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) t)
(*.f64 -1 (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t))
(neg.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))
(/.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) t)
(*.f64 -1 (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t))
(neg.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))
(/.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) t)
(*.f64 -1 (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t))
(neg.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))
(/.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) t)
(*.f64 -1 (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t))
(neg.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))
(/.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) t)
(*.f64 -1 (/.f64 (*.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 (pow.f64 (expm1.f64 z) 2) (/.f64 t (*.f64 y y))) (/.f64 (neg.f64 (expm1.f64 z)) (/.f64 t y)))
(fma.f64 1/2 (*.f64 (*.f64 y y) (/.f64 (pow.f64 (expm1.f64 z) 2) t)) (*.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)))))
(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))) (/.f64 (neg.f64 (expm1.f64 z)) (/.f64 t y))))
(-.f64 (fma.f64 1/2 (*.f64 (*.f64 y y) (/.f64 (pow.f64 (expm1.f64 z) 2) t)) (*.f64 -1/3 (*.f64 (/.f64 (pow.f64 y 3) t) (pow.f64 (expm1.f64 z) 3)))) (*.f64 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 1/4 (/.f64 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 4) (pow.f64 y 4)) t)) (*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)))))
(fma.f64 -1/3 (/.f64 (pow.f64 (expm1.f64 z) 3) (/.f64 t (pow.f64 y 3))) (fma.f64 1/2 (/.f64 (pow.f64 (expm1.f64 z) 2) (/.f64 t (*.f64 y y))) (fma.f64 1/4 (/.f64 (pow.f64 (expm1.f64 z) 4) (/.f64 t (pow.f64 y 4))) (neg.f64 (/.f64 (expm1.f64 z) (/.f64 t y))))))
(fma.f64 -1/3 (/.f64 (pow.f64 (expm1.f64 z) 3) (/.f64 t (pow.f64 y 3))) (fma.f64 1/2 (/.f64 (pow.f64 (expm1.f64 z) 2) (/.f64 t (*.f64 y y))) (fma.f64 1/4 (/.f64 (pow.f64 (expm1.f64 z) 4) (/.f64 t (pow.f64 y 4))) (/.f64 (neg.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 (/.f64 (pow.f64 y 3) t) (pow.f64 (expm1.f64 z) 3)) (fma.f64 1/4 (*.f64 (/.f64 (pow.f64 y 4) t) (pow.f64 (expm1.f64 z) 4)) (*.f64 (/.f64 (expm1.f64 z) t) (neg.f64 y)))))
(*.f64 -1 (/.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) t))
(neg.f64 (/.f64 (+.f64 (log.f64 (expm1.f64 z)) (neg.f64 (neg.f64 (log.f64 y)))) t))
(/.f64 (neg.f64 (+.f64 (log.f64 (expm1.f64 z)) (log.f64 y))) t)
(/.f64 (-.f64 (neg.f64 (log.f64 (expm1.f64 z))) (log.f64 y)) t)
(/.f64 (-.f64 (neg.f64 (log.f64 y)) (log.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)) (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) (*.f64 y t))))
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(fma.f64 -1 (/.f64 (+.f64 (log.f64 (expm1.f64 z)) (log.f64 y)) t) (/.f64 -1 (*.f64 y (*.f64 t (expm1.f64 z)))))
(-.f64 (/.f64 (/.f64 -1 y) (*.f64 t (expm1.f64 z))) (/.f64 (+.f64 (log.f64 (expm1.f64 z)) (log.f64 y)) t))
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(+.f64 (/.f64 1/2 (*.f64 (pow.f64 (expm1.f64 z) 2) (*.f64 t (*.f64 y y)))) (-.f64 (neg.f64 (/.f64 (+.f64 (log.f64 (expm1.f64 z)) (neg.f64 (neg.f64 (log.f64 y)))) t)) (/.f64 (/.f64 1 (expm1.f64 z)) (*.f64 y t))))
(+.f64 (-.f64 (/.f64 1/2 (*.f64 (pow.f64 (expm1.f64 z) 2) (*.f64 y (*.f64 y t)))) (/.f64 (+.f64 (log.f64 (expm1.f64 z)) (log.f64 y)) t)) (/.f64 -1 (*.f64 y (*.f64 t (expm1.f64 z)))))
(-.f64 (/.f64 1/2 (*.f64 y (*.f64 y (*.f64 t (pow.f64 (expm1.f64 z) 2))))) (+.f64 (/.f64 (+.f64 (log.f64 (expm1.f64 z)) (log.f64 y)) t) (/.f64 (/.f64 1 y) (*.f64 t (expm1.f64 z)))))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (*.f64 (pow.f64 y 2) t)))) (*.f64 -1 (/.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) t))) (+.f64 (*.f64 1/3 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 3) (*.f64 (pow.f64 y 3) t)))) (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) (*.f64 y t)))))
(-.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (log.f64 (expm1.f64 z)) (neg.f64 (neg.f64 (log.f64 y)))) t)) (/.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))))))
(+.f64 (-.f64 (-.f64 (/.f64 1/2 (*.f64 (pow.f64 (expm1.f64 z) 2) (*.f64 y (*.f64 y t)))) (/.f64 (+.f64 (log.f64 (expm1.f64 z)) (log.f64 y)) t)) (/.f64 1/3 (*.f64 t (*.f64 (pow.f64 y 3) (pow.f64 (expm1.f64 z) 3))))) (/.f64 -1 (*.f64 y (*.f64 t (expm1.f64 z)))))
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(+.f64 (/.f64 1/2 (*.f64 y (*.f64 y (*.f64 t (pow.f64 (expm1.f64 z) 2))))) (-.f64 (+.f64 (/.f64 (/.f64 -1 y) (*.f64 t (expm1.f64 z))) (/.f64 -1/3 (*.f64 (pow.f64 (expm1.f64 z) 3) (*.f64 t (pow.f64 y 3))))) (/.f64 (+.f64 (log.f64 (expm1.f64 z)) (log.f64 y)) t)))
(*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1)))) t))
(neg.f64 (/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 (neg.f64 (expm1.f64 z)))) t))
(/.f64 (neg.f64 (-.f64 (log.f64 (neg.f64 (expm1.f64 z))) (log.f64 (/.f64 -1 y)))) t)
(/.f64 (-.f64 (log.f64 (/.f64 -1 y)) (log.f64 (neg.f64 (expm1.f64 z)))) t)
(-.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1)))) t)) (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) (*.f64 y t))))
(-.f64 (neg.f64 (/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 (neg.f64 (expm1.f64 z)))) t)) (/.f64 (/.f64 1 (expm1.f64 z)) (*.f64 y t)))
(fma.f64 -1 (/.f64 (-.f64 (log.f64 (neg.f64 (expm1.f64 z))) (log.f64 (/.f64 -1 y))) t) (/.f64 -1 (*.f64 y (*.f64 t (expm1.f64 z)))))
(-.f64 (/.f64 (/.f64 -1 y) (*.f64 t (expm1.f64 z))) (/.f64 (-.f64 (log.f64 (neg.f64 (expm1.f64 z))) (log.f64 (/.f64 -1 y))) t))
(+.f64 (/.f64 (-.f64 (log.f64 (/.f64 -1 y)) (log.f64 (neg.f64 (expm1.f64 z)))) t) (/.f64 (/.f64 -1 y) (*.f64 t (expm1.f64 z))))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (*.f64 (pow.f64 y 2) t)))) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1)))) t))) (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) (*.f64 y t))))
(+.f64 (/.f64 1/2 (*.f64 (pow.f64 (expm1.f64 z) 2) (*.f64 t (*.f64 y y)))) (-.f64 (neg.f64 (/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 (neg.f64 (expm1.f64 z)))) t)) (/.f64 (/.f64 1 (expm1.f64 z)) (*.f64 y t))))
(+.f64 (-.f64 (/.f64 1/2 (*.f64 (pow.f64 (expm1.f64 z) 2) (*.f64 y (*.f64 y t)))) (/.f64 (-.f64 (log.f64 (neg.f64 (expm1.f64 z))) (log.f64 (/.f64 -1 y))) t)) (/.f64 -1 (*.f64 y (*.f64 t (expm1.f64 z)))))
(+.f64 (/.f64 1/2 (*.f64 y (*.f64 y (*.f64 t (pow.f64 (expm1.f64 z) 2))))) (-.f64 (/.f64 (/.f64 -1 y) (*.f64 t (expm1.f64 z))) (/.f64 (-.f64 (log.f64 (neg.f64 (expm1.f64 z))) (log.f64 (/.f64 -1 y))) t)))
(+.f64 (/.f64 1/2 (*.f64 y (*.f64 y (*.f64 t (pow.f64 (expm1.f64 z) 2))))) (+.f64 (/.f64 (-.f64 (log.f64 (/.f64 -1 y)) (log.f64 (neg.f64 (expm1.f64 z)))) t) (/.f64 (/.f64 -1 y) (*.f64 t (expm1.f64 z)))))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (*.f64 (pow.f64 y 2) t)))) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1)))) t))) (+.f64 (*.f64 1/3 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 3) (*.f64 (pow.f64 y 3) t)))) (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) (*.f64 y t)))))
(-.f64 (+.f64 (/.f64 1/2 (*.f64 (pow.f64 (expm1.f64 z) 2) (*.f64 t (*.f64 y y)))) (neg.f64 (/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 (neg.f64 (expm1.f64 z)))) t))) (+.f64 (/.f64 (/.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 (/.f64 1/2 (*.f64 (pow.f64 (expm1.f64 z) 2) (*.f64 y (*.f64 y t)))) (/.f64 (-.f64 (log.f64 (neg.f64 (expm1.f64 z))) (log.f64 (/.f64 -1 y))) t)) (+.f64 (/.f64 1 (*.f64 y (*.f64 t (expm1.f64 z)))) (/.f64 1/3 (*.f64 t (*.f64 (pow.f64 y 3) (pow.f64 (expm1.f64 z) 3))))))
(-.f64 (+.f64 (/.f64 1/2 (*.f64 y (*.f64 y (*.f64 t (pow.f64 (expm1.f64 z) 2))))) (+.f64 (/.f64 (/.f64 -1 y) (*.f64 t (expm1.f64 z))) (/.f64 -1/3 (*.f64 (pow.f64 (expm1.f64 z) 3) (*.f64 t (pow.f64 y 3)))))) (/.f64 (-.f64 (log.f64 (neg.f64 (expm1.f64 z))) (log.f64 (/.f64 -1 y))) t))
(+.f64 (/.f64 1/2 (*.f64 y (*.f64 y (*.f64 t (pow.f64 (expm1.f64 z) 2))))) (+.f64 (/.f64 (-.f64 (log.f64 (/.f64 -1 y)) (log.f64 (neg.f64 (expm1.f64 z)))) t) (+.f64 (/.f64 (/.f64 -1 y) (*.f64 t (expm1.f64 z))) (/.f64 -1/3 (*.f64 (pow.f64 (expm1.f64 z) 3) (*.f64 t (pow.f64 y 3)))))))
(*.f64 -1 (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t))
(neg.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))
(/.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) t)
(*.f64 -1 (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t))
(neg.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))
(/.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) t)
(*.f64 -1 (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t))
(neg.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))
(/.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) t)
(*.f64 -1 (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t))
(neg.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))
(/.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) t)
(*.f64 -1 (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t))
(neg.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))
(/.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) t)
(*.f64 -1 (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t))
(neg.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))
(/.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) t)
(*.f64 -1 (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t))
(neg.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))
(/.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) t)
(*.f64 -1 (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t))
(neg.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))
(/.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) t)
(*.f64 -1 (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t))
(neg.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))
(/.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) t)
(*.f64 -1 (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t))
(neg.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))
(/.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) t)
(*.f64 -1 (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t))
(neg.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))
(/.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) t)
(*.f64 -1 (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t))
(neg.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))
(/.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) t)

eval454.0ms (2%)

Compiler

Compiled 10113 to 5334 computations (47.3% saved)

prune211.0ms (0.9%)

Pruning

35 alts after pruning (24 fresh and 11 done)

PrunedKeptTotal
New50611517
Fresh51318
Picked011
Done11011
Total51235547
Error
0.2b
Counts
547 → 35
Alt Table
Click to see full alt table
StatusErrorProgram
✓14.5b
(-.f64 x (/.f64 1 (/.f64 t (*.f64 z y))))
✓57.1b
(*.f64 (neg.f64 (/.f64 y t)) z)
55.3b
(*.f64 (*.f64 y z) (/.f64 1 (neg.f64 t)))
14.7b
(-.f64 x (*.f64 (/.f64 1 (/.f64 t z)) y))
39.1b
(-.f64 x (/.f64 1 (*.f64 z (*.f64 y t))))
63.2b
(-.f64 x (/.f64 (+.f64 (log.f64 (*.f64 y 1/2)) (+.f64 (+.f64 (/.f64 2 z) (/.f64 (+.f64 -2 (/.f64 2 y)) (*.f64 z z))) (+.f64 (*.f64 2 (log.f64 z)) (/.f64 (+.f64 8/3 (/.f64 -4 y)) (pow.f64 z 3))))) t))
11.4b
(-.f64 x (/.f64 1 (+.f64 (/.f64 t (*.f64 (-.f64 (exp.f64 z) 1) y)) (*.f64 1/2 t))))
60.2b
(-.f64 x (/.f64 (+.f64 (-.f64 (/.f64 (/.f64 2 z) (*.f64 z y)) (/.f64 (/.f64 4 y) (pow.f64 z 3))) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 y))) (log.f64 (*.f64 (+.f64 1 (*.f64 1/2 z)) z)))) t))
40.0b
(-.f64 x (/.f64 1 (*.f64 y (*.f64 t z))))
✓47.4b
(*.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (/.f64 1 (neg.f64 t)))
15.8b
x
14.5b
(-.f64 x (/.f64 1 (*.f64 (/.f64 1 (*.f64 z y)) t)))
✓17.0b
(-.f64 x (*.f64 (/.f64 y t) z))
✓0.6b
(fma.f64 (/.f64 -1 t) (log1p.f64 (*.f64 y (expm1.f64 z))) x)
51.5b
(/.f64 (neg.f64 (*.f64 y (expm1.f64 z))) t)
✓15.0b
(-.f64 x (/.f64 (log1p.f64 (*.f64 z (+.f64 (*.f64 y (*.f64 1/2 z)) y))) t))
✓17.0b
(-.f64 x (/.f64 (*.f64 (+.f64 1 (*.f64 1/2 z)) (*.f64 y z)) t))
55.3b
(/.f64 (*.f64 (neg.f64 y) z) t)
23.2b
(-.f64 x (/.f64 (*.f64 (*.f64 y z) (*.f64 z 1/2)) t))
✓47.3b
(/.f64 (neg.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) t)
62.1b
(/.f64 (*.f64 y z) t)
✓6.5b
(-.f64 x (*.f64 (/.f64 (expm1.f64 z) t) y))
62.2b
(-.f64 (+.f64 1 (*.f64 (/.f64 y t) z)) 1)
✓10.5b
(-.f64 x (/.f64 (log1p.f64 (*.f64 y z)) t))
55.3b
(*.f64 y (neg.f64 (/.f64 z t)))
38.8b
(-.f64 x (/.f64 1 (*.f64 (+.f64 1 (*.f64 1/2 z)) (*.f64 y (*.f64 t z)))))
10.5b
(-.f64 x (*.f64 (/.f64 1 t) (log1p.f64 (*.f64 y z))))
22.0b
(-.f64 x (/.f64 1 (/.f64 t (exp.f64 (log.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))))))
53.3b
(/.f64 (neg.f64 (log1p.f64 (*.f64 y (+.f64 z (*.f64 z (*.f64 z 1/2)))))) t)
22.9b
(-.f64 x (/.f64 1 (fma.f64 -1/2 (*.f64 (/.f64 t (*.f64 y y)) (-.f64 y (*.f64 y y))) (/.f64 t (*.f64 z y)))))
47.4b
(*.f64 (expm1.f64 (log1p.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)))) (/.f64 1 (neg.f64 t)))
✓0.5b
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))
49.4b
(-.f64 x (/.f64 (-.f64 (log.f64 (neg.f64 z)) (log.f64 (/.f64 -1 y))) t))
17.8b
(-.f64 x (/.f64 (*.f64 z (+.f64 y (*.f64 (*.f64 y -1/2) (*.f64 y z)))) t))
15.1b
(-.f64 x (/.f64 1 (/.f64 t (log1p.f64 (*.f64 z (+.f64 (*.f64 y (*.f64 1/2 z)) y))))))
Compiler

Compiled 549 to 391 computations (28.8% saved)

regimes482.0ms (2.1%)

Counts
60 → 1
Calls
Call 1
Inputs
x
x
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 (neg.f64 y) z) t)
(*.f64 y (neg.f64 (/.f64 z t)))
(*.f64 (neg.f64 (/.f64 y t)) z)
(/.f64 (neg.f64 (*.f64 y z)) t)
(-.f64 x (*.f64 (/.f64 z t) y))
(-.f64 x (/.f64 (*.f64 z y) t))
(-.f64 x (*.f64 (/.f64 y t) z))
(*.f64 (*.f64 y z) (/.f64 1 (neg.f64 t)))
(-.f64 x (*.f64 (/.f64 1 (/.f64 t z)) y))
(-.f64 (+.f64 1 (*.f64 (/.f64 y t) z)) 1)
(-.f64 x (/.f64 1 (/.f64 t (*.f64 z y))))
(-.f64 x (/.f64 1 (*.f64 z (*.f64 y t))))
(-.f64 x (/.f64 1 (*.f64 y (*.f64 t z))))
(-.f64 x (/.f64 1 (/.f64 t (*.f64 y z))))
(-.f64 x (*.f64 (/.f64 1 t) (*.f64 z y)))
(-.f64 x (/.f64 1 (*.f64 (/.f64 1 (*.f64 z y)) t)))
(-.f64 x (/.f64 (*.f64 (*.f64 y z) (*.f64 z 1/2)) t))
(-.f64 x (/.f64 (*.f64 (+.f64 1 (*.f64 1/2 z)) (*.f64 y z)) t))
(-.f64 x (/.f64 (*.f64 z (+.f64 y (*.f64 (*.f64 y -1/2) (*.f64 y z)))) t))
(-.f64 x (/.f64 1 (*.f64 (+.f64 1 (*.f64 1/2 z)) (*.f64 y (*.f64 t z)))))
(-.f64 (*.f64 (/.f64 z (/.f64 t z)) (*.f64 (-.f64 y (*.f64 y y)) -1/2)) (*.f64 (/.f64 y t) z))
(/.f64 (neg.f64 (*.f64 y (expm1.f64 z))) t)
(*.f64 (expm1.f64 z) (/.f64 (neg.f64 y) t))
(-.f64 x (/.f64 (log1p.f64 (*.f64 y z)) t))
(-.f64 x (/.f64 (*.f64 (expm1.f64 z) y) t))
(-.f64 x (*.f64 (/.f64 (expm1.f64 z) t) y))
(-.f64 x (*.f64 (/.f64 1 t) (log1p.f64 (*.f64 y z))))
(/.f64 (neg.f64 (log1p.f64 (*.f64 y (+.f64 z (*.f64 z (*.f64 z 1/2)))))) 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 1 (/.f64 t (log1p.f64 (*.f64 z (+.f64 (*.f64 y (*.f64 1/2 z)) y))))))
(-.f64 x (*.f64 (/.f64 1 t) (log1p.f64 (*.f64 z (+.f64 (*.f64 y (*.f64 1/2 z)) y)))))
(-.f64 x (/.f64 1 (fma.f64 -1/2 (*.f64 (/.f64 t (*.f64 y y)) (-.f64 y (*.f64 y y))) (/.f64 t (*.f64 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 (log1p.f64 (*.f64 (expm1.f64 z) y)) (/.f64 1 (neg.f64 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 (log.f64 (neg.f64 z)) (log.f64 (/.f64 -1 y))) t))
(-.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))
(-.f64 x (/.f64 (+.f64 (log.f64 (*.f64 y 1/2)) (+.f64 (/.f64 2 z) (+.f64 (/.f64 (+.f64 -2 (/.f64 2 y)) (*.f64 z z)) (*.f64 2 (log.f64 z))))) t))
(-.f64 x (/.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 1 (*.f64 1/2 z)) (*.f64 y z))) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 y))) (log.f64 (*.f64 (+.f64 1 (*.f64 1/2 z)) z)))) t))
(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 (-.f64 (log.f64 (neg.f64 (expm1.f64 z))) (log.f64 (/.f64 -1 y))) t))
(-.f64 x (/.f64 (+.f64 (-.f64 (/.f64 (/.f64 2 z) (*.f64 z y)) (/.f64 (/.f64 4 y) (pow.f64 z 3))) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 y))) (log.f64 (*.f64 (+.f64 1 (*.f64 1/2 z)) z)))) t))
(-.f64 x (/.f64 (+.f64 (log.f64 (*.f64 y 1/2)) (+.f64 (+.f64 (/.f64 2 z) (/.f64 (+.f64 -2 (/.f64 2 y)) (*.f64 z z))) (+.f64 (*.f64 2 (log.f64 z)) (/.f64 (+.f64 8/3 (/.f64 -4 y)) (pow.f64 z 3))))) t))
(*.f64 (expm1.f64 (log1p.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)))) (/.f64 1 (neg.f64 t)))
(-.f64 x (/.f64 1 (/.f64 t (expm1.f64 (log1p.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))))))
(-.f64 x (/.f64 1 (/.f64 t (exp.f64 (log.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))))))
(-.f64 x (*.f64 (/.f64 1 t) (expm1.f64 (log1p.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))))))
(-.f64 x (*.f64 (/.f64 1 t) (exp.f64 (log.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))))))
(-.f64 (-.f64 x (/.f64 (/.f64 1 (expm1.f64 z)) (*.f64 y t))) (/.f64 (-.f64 (log.f64 (neg.f64 (expm1.f64 z))) (log.f64 (/.f64 -1 y))) t))
Outputs
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))
Calls

13 calls:

72.0ms
y
70.0ms
x
68.0ms
z
65.0ms
t
57.0ms
(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 1 y) (*.f64 y (exp.f64 z)))) t))
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 857 to 461 computations (46.2% saved)

regimes299.0ms (1.3%)

Counts
38 → 2
Calls
Call 1
Inputs
x
x
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 (neg.f64 y) z) t)
(*.f64 y (neg.f64 (/.f64 z t)))
(*.f64 (neg.f64 (/.f64 y t)) z)
(/.f64 (neg.f64 (*.f64 y z)) t)
(-.f64 x (*.f64 (/.f64 z t) y))
(-.f64 x (/.f64 (*.f64 z y) t))
(-.f64 x (*.f64 (/.f64 y t) z))
(*.f64 (*.f64 y z) (/.f64 1 (neg.f64 t)))
(-.f64 x (*.f64 (/.f64 1 (/.f64 t z)) y))
(-.f64 (+.f64 1 (*.f64 (/.f64 y t) z)) 1)
(-.f64 x (/.f64 1 (/.f64 t (*.f64 z y))))
(-.f64 x (/.f64 1 (*.f64 z (*.f64 y t))))
(-.f64 x (/.f64 1 (*.f64 y (*.f64 t z))))
(-.f64 x (/.f64 1 (/.f64 t (*.f64 y z))))
(-.f64 x (*.f64 (/.f64 1 t) (*.f64 z y)))
(-.f64 x (/.f64 1 (*.f64 (/.f64 1 (*.f64 z y)) t)))
(-.f64 x (/.f64 (*.f64 (*.f64 y z) (*.f64 z 1/2)) t))
(-.f64 x (/.f64 (*.f64 (+.f64 1 (*.f64 1/2 z)) (*.f64 y z)) t))
(-.f64 x (/.f64 (*.f64 z (+.f64 y (*.f64 (*.f64 y -1/2) (*.f64 y z)))) t))
(-.f64 x (/.f64 1 (*.f64 (+.f64 1 (*.f64 1/2 z)) (*.f64 y (*.f64 t z)))))
(-.f64 (*.f64 (/.f64 z (/.f64 t z)) (*.f64 (-.f64 y (*.f64 y y)) -1/2)) (*.f64 (/.f64 y t) z))
(/.f64 (neg.f64 (*.f64 y (expm1.f64 z))) t)
(*.f64 (expm1.f64 z) (/.f64 (neg.f64 y) t))
(-.f64 x (/.f64 (log1p.f64 (*.f64 y z)) t))
(-.f64 x (/.f64 (*.f64 (expm1.f64 z) y) t))
(-.f64 x (*.f64 (/.f64 (expm1.f64 z) t) y))
(-.f64 x (*.f64 (/.f64 1 t) (log1p.f64 (*.f64 y z))))
(/.f64 (neg.f64 (log1p.f64 (*.f64 y (+.f64 z (*.f64 z (*.f64 z 1/2)))))) 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 1 (/.f64 t (log1p.f64 (*.f64 z (+.f64 (*.f64 y (*.f64 1/2 z)) y))))))
(-.f64 x (*.f64 (/.f64 1 t) (log1p.f64 (*.f64 z (+.f64 (*.f64 y (*.f64 1/2 z)) y)))))
(-.f64 x (/.f64 1 (fma.f64 -1/2 (*.f64 (/.f64 t (*.f64 y y)) (-.f64 y (*.f64 y y))) (/.f64 t (*.f64 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:

82.0ms
t
77.0ms
y
71.0ms
z
20.0ms
x
13.0ms
(exp.f64 z)
Results
ErrorSegmentsBranch
6.5b1x
3.1b3y
2.4b2z
6.5b1t
2.4b2(exp.f64 z)
2.4b2(exp.f64 z)
Compiler

Compiled 404 to 201 computations (50.2% saved)

bsearch0.0ms (0%)

Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
8.866327529298468e-11
0.9882111427384291
Compiler

Compiled 24 to 18 computations (25% saved)

regimes144.0ms (0.6%)

Counts
32 → 3
Calls
Call 1
Inputs
x
x
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 (neg.f64 y) z) t)
(*.f64 y (neg.f64 (/.f64 z t)))
(*.f64 (neg.f64 (/.f64 y t)) z)
(/.f64 (neg.f64 (*.f64 y z)) t)
(-.f64 x (*.f64 (/.f64 z t) y))
(-.f64 x (/.f64 (*.f64 z y) t))
(-.f64 x (*.f64 (/.f64 y t) z))
(*.f64 (*.f64 y z) (/.f64 1 (neg.f64 t)))
(-.f64 x (*.f64 (/.f64 1 (/.f64 t z)) y))
(-.f64 (+.f64 1 (*.f64 (/.f64 y t) z)) 1)
(-.f64 x (/.f64 1 (/.f64 t (*.f64 z y))))
(-.f64 x (/.f64 1 (*.f64 z (*.f64 y t))))
(-.f64 x (/.f64 1 (*.f64 y (*.f64 t z))))
(-.f64 x (/.f64 1 (/.f64 t (*.f64 y z))))
(-.f64 x (*.f64 (/.f64 1 t) (*.f64 z y)))
(-.f64 x (/.f64 1 (*.f64 (/.f64 1 (*.f64 z y)) t)))
(-.f64 x (/.f64 (*.f64 (*.f64 y z) (*.f64 z 1/2)) t))
(-.f64 x (/.f64 (*.f64 (+.f64 1 (*.f64 1/2 z)) (*.f64 y z)) t))
(-.f64 x (/.f64 (*.f64 z (+.f64 y (*.f64 (*.f64 y -1/2) (*.f64 y z)))) t))
(-.f64 x (/.f64 1 (*.f64 (+.f64 1 (*.f64 1/2 z)) (*.f64 y (*.f64 t z)))))
(-.f64 (*.f64 (/.f64 z (/.f64 t z)) (*.f64 (-.f64 y (*.f64 y y)) -1/2)) (*.f64 (/.f64 y t) z))
(/.f64 (neg.f64 (*.f64 y (expm1.f64 z))) t)
(*.f64 (expm1.f64 z) (/.f64 (neg.f64 y) t))
(-.f64 x (/.f64 (log1p.f64 (*.f64 y z)) t))
(-.f64 x (/.f64 (*.f64 (expm1.f64 z) y) t))
(-.f64 x (*.f64 (/.f64 (expm1.f64 z) t) y))
(-.f64 x (*.f64 (/.f64 1 t) (log1p.f64 (*.f64 y z))))
(/.f64 (neg.f64 (log1p.f64 (*.f64 y (+.f64 z (*.f64 z (*.f64 z 1/2)))))) t)
(-.f64 x (/.f64 (log1p.f64 (*.f64 z (+.f64 (*.f64 y (*.f64 1/2 z)) y))) t))
Outputs
(-.f64 x (/.f64 (log1p.f64 (*.f64 y z)) t))
(-.f64 x (*.f64 (/.f64 (expm1.f64 z) t) y))
(-.f64 x (/.f64 (log1p.f64 (*.f64 z (+.f64 (*.f64 y (*.f64 1/2 z)) y))) t))
Calls

4 calls:

69.0ms
y
31.0ms
z
18.0ms
t
17.0ms
x
Results
ErrorSegmentsBranch
6.5b1x
3.1b3y
3.3b2z
6.5b1t
Compiler

Compiled 306 to 150 computations (51% saved)

bsearch106.0ms (0.5%)

Algorithm
2×binary-search
Steps
TimeLeftRight
53.0ms
4.064265715160281e-12
2.2621899658972187e-11
53.0ms
-43081170.212476544
-38.48870509631097
Compiler

Compiled 24 to 18 computations (25% saved)

regimes167.0ms (0.7%)

Counts
31 → 3
Calls
Call 1
Inputs
x
x
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 (neg.f64 y) z) t)
(*.f64 y (neg.f64 (/.f64 z t)))
(*.f64 (neg.f64 (/.f64 y t)) z)
(/.f64 (neg.f64 (*.f64 y z)) t)
(-.f64 x (*.f64 (/.f64 z t) y))
(-.f64 x (/.f64 (*.f64 z y) t))
(-.f64 x (*.f64 (/.f64 y t) z))
(*.f64 (*.f64 y z) (/.f64 1 (neg.f64 t)))
(-.f64 x (*.f64 (/.f64 1 (/.f64 t z)) y))
(-.f64 (+.f64 1 (*.f64 (/.f64 y t) z)) 1)
(-.f64 x (/.f64 1 (/.f64 t (*.f64 z y))))
(-.f64 x (/.f64 1 (*.f64 z (*.f64 y t))))
(-.f64 x (/.f64 1 (*.f64 y (*.f64 t z))))
(-.f64 x (/.f64 1 (/.f64 t (*.f64 y z))))
(-.f64 x (*.f64 (/.f64 1 t) (*.f64 z y)))
(-.f64 x (/.f64 1 (*.f64 (/.f64 1 (*.f64 z y)) t)))
(-.f64 x (/.f64 (*.f64 (*.f64 y z) (*.f64 z 1/2)) t))
(-.f64 x (/.f64 (*.f64 (+.f64 1 (*.f64 1/2 z)) (*.f64 y z)) t))
(-.f64 x (/.f64 (*.f64 z (+.f64 y (*.f64 (*.f64 y -1/2) (*.f64 y z)))) t))
(-.f64 x (/.f64 1 (*.f64 (+.f64 1 (*.f64 1/2 z)) (*.f64 y (*.f64 t z)))))
(-.f64 (*.f64 (/.f64 z (/.f64 t z)) (*.f64 (-.f64 y (*.f64 y y)) -1/2)) (*.f64 (/.f64 y t) z))
(/.f64 (neg.f64 (*.f64 y (expm1.f64 z))) t)
(*.f64 (expm1.f64 z) (/.f64 (neg.f64 y) t))
(-.f64 x (/.f64 (log1p.f64 (*.f64 y z)) t))
(-.f64 x (/.f64 (*.f64 (expm1.f64 z) y) t))
(-.f64 x (*.f64 (/.f64 (expm1.f64 z) t) y))
(-.f64 x (*.f64 (/.f64 1 t) (log1p.f64 (*.f64 y z))))
(/.f64 (neg.f64 (log1p.f64 (*.f64 y (+.f64 z (*.f64 z (*.f64 z 1/2)))))) t)
Outputs
(-.f64 x (/.f64 (log1p.f64 (*.f64 y z)) t))
(-.f64 x (*.f64 (/.f64 (expm1.f64 z) t) y))
(-.f64 x (/.f64 (log1p.f64 (*.f64 y z)) t))
Calls

4 calls:

80.0ms
z
44.0ms
y
17.0ms
x
17.0ms
t
Results
ErrorSegmentsBranch
6.5b1x
3.1b3y
3.3b2z
6.5b1t
Compiler

Compiled 292 to 142 computations (51.4% saved)

bsearch150.0ms (0.7%)

Algorithm
2×binary-search
Steps
TimeLeftRight
51.0ms
3.36794657830425e-7
7.683126363295719e-5
99.0ms
-43081170.212476544
-38.48870509631097
Compiler

Compiled 24 to 18 computations (25% saved)

regimes105.0ms (0.5%)

Counts
28 → 3
Calls
Call 1
Inputs
x
x
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 (neg.f64 y) z) t)
(*.f64 y (neg.f64 (/.f64 z t)))
(*.f64 (neg.f64 (/.f64 y t)) z)
(/.f64 (neg.f64 (*.f64 y z)) t)
(-.f64 x (*.f64 (/.f64 z t) y))
(-.f64 x (/.f64 (*.f64 z y) t))
(-.f64 x (*.f64 (/.f64 y t) z))
(*.f64 (*.f64 y z) (/.f64 1 (neg.f64 t)))
(-.f64 x (*.f64 (/.f64 1 (/.f64 t z)) y))
(-.f64 (+.f64 1 (*.f64 (/.f64 y t) z)) 1)
(-.f64 x (/.f64 1 (/.f64 t (*.f64 z y))))
(-.f64 x (/.f64 1 (*.f64 z (*.f64 y t))))
(-.f64 x (/.f64 1 (*.f64 y (*.f64 t z))))
(-.f64 x (/.f64 1 (/.f64 t (*.f64 y z))))
(-.f64 x (*.f64 (/.f64 1 t) (*.f64 z y)))
(-.f64 x (/.f64 1 (*.f64 (/.f64 1 (*.f64 z y)) t)))
(-.f64 x (/.f64 (*.f64 (*.f64 y z) (*.f64 z 1/2)) t))
(-.f64 x (/.f64 (*.f64 (+.f64 1 (*.f64 1/2 z)) (*.f64 y z)) t))
(-.f64 x (/.f64 (*.f64 z (+.f64 y (*.f64 (*.f64 y -1/2) (*.f64 y z)))) t))
(-.f64 x (/.f64 1 (*.f64 (+.f64 1 (*.f64 1/2 z)) (*.f64 y (*.f64 t z)))))
(-.f64 (*.f64 (/.f64 z (/.f64 t z)) (*.f64 (-.f64 y (*.f64 y y)) -1/2)) (*.f64 (/.f64 y t) z))
(/.f64 (neg.f64 (*.f64 y (expm1.f64 z))) t)
(*.f64 (expm1.f64 z) (/.f64 (neg.f64 y) t))
(-.f64 x (/.f64 (log1p.f64 (*.f64 y z)) t))
(-.f64 x (/.f64 (*.f64 (expm1.f64 z) y) t))
Outputs
(-.f64 x (/.f64 (log1p.f64 (*.f64 y z)) t))
(-.f64 x (/.f64 (*.f64 (expm1.f64 z) y) t))
(-.f64 x (/.f64 (log1p.f64 (*.f64 y z)) t))
Calls

4 calls:

39.0ms
y
27.0ms
z
16.0ms
t
16.0ms
x
Results
ErrorSegmentsBranch
6.5b1x
3.3b3y
3.3b2z
6.5b1t
Compiler

Compiled 261 to 127 computations (51.3% saved)

bsearch157.0ms (0.7%)

Algorithm
2×binary-search
Steps
TimeLeftRight
100.0ms
3.36794657830425e-7
7.683126363295719e-5
56.0ms
-43081170.212476544
-38.48870509631097
Compiler

Compiled 24 to 18 computations (25% saved)

regimes268.0ms (1.2%)

Counts
27 → 2
Calls
Call 1
Inputs
x
x
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 (neg.f64 y) z) t)
(*.f64 y (neg.f64 (/.f64 z t)))
(*.f64 (neg.f64 (/.f64 y t)) z)
(/.f64 (neg.f64 (*.f64 y z)) t)
(-.f64 x (*.f64 (/.f64 z t) y))
(-.f64 x (/.f64 (*.f64 z y) t))
(-.f64 x (*.f64 (/.f64 y t) z))
(*.f64 (*.f64 y z) (/.f64 1 (neg.f64 t)))
(-.f64 x (*.f64 (/.f64 1 (/.f64 t z)) y))
(-.f64 (+.f64 1 (*.f64 (/.f64 y t) z)) 1)
(-.f64 x (/.f64 1 (/.f64 t (*.f64 z y))))
(-.f64 x (/.f64 1 (*.f64 z (*.f64 y t))))
(-.f64 x (/.f64 1 (*.f64 y (*.f64 t z))))
(-.f64 x (/.f64 1 (/.f64 t (*.f64 y z))))
(-.f64 x (*.f64 (/.f64 1 t) (*.f64 z y)))
(-.f64 x (/.f64 1 (*.f64 (/.f64 1 (*.f64 z y)) t)))
(-.f64 x (/.f64 (*.f64 (*.f64 y z) (*.f64 z 1/2)) t))
(-.f64 x (/.f64 (*.f64 (+.f64 1 (*.f64 1/2 z)) (*.f64 y z)) t))
(-.f64 x (/.f64 (*.f64 z (+.f64 y (*.f64 (*.f64 y -1/2) (*.f64 y z)))) t))
(-.f64 x (/.f64 1 (*.f64 (+.f64 1 (*.f64 1/2 z)) (*.f64 y (*.f64 t z)))))
(-.f64 (*.f64 (/.f64 z (/.f64 t z)) (*.f64 (-.f64 y (*.f64 y y)) -1/2)) (*.f64 (/.f64 y t) z))
(/.f64 (neg.f64 (*.f64 y (expm1.f64 z))) t)
(*.f64 (expm1.f64 z) (/.f64 (neg.f64 y) t))
(-.f64 x (/.f64 (log1p.f64 (*.f64 y z)) t))
Outputs
x
(-.f64 x (/.f64 (log1p.f64 (*.f64 y z)) t))
Calls

4 calls:

114.0ms
z
60.0ms
t
49.0ms
y
32.0ms
x
Results
ErrorSegmentsBranch
9.5b2x
8.2b3y
6.7b2z
10.5b1t
Compiler

Compiled 253 to 124 computations (51% saved)

bsearch167.0ms (0.7%)

Algorithm
1×binary-search
Steps
TimeLeftRight
167.0ms
-25085022145900940.0
-14323488452568178.0
Compiler

Compiled 100 to 74 computations (26% saved)

regimes359.0ms (1.6%)

Counts
26 → 2
Calls
Call 1
Inputs
x
x
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 (neg.f64 y) z) t)
(*.f64 y (neg.f64 (/.f64 z t)))
(*.f64 (neg.f64 (/.f64 y t)) z)
(/.f64 (neg.f64 (*.f64 y z)) t)
(-.f64 x (*.f64 (/.f64 z t) y))
(-.f64 x (/.f64 (*.f64 z y) t))
(-.f64 x (*.f64 (/.f64 y t) z))
(*.f64 (*.f64 y z) (/.f64 1 (neg.f64 t)))
(-.f64 x (*.f64 (/.f64 1 (/.f64 t z)) y))
(-.f64 (+.f64 1 (*.f64 (/.f64 y t) z)) 1)
(-.f64 x (/.f64 1 (/.f64 t (*.f64 z y))))
(-.f64 x (/.f64 1 (*.f64 z (*.f64 y t))))
(-.f64 x (/.f64 1 (*.f64 y (*.f64 t z))))
(-.f64 x (/.f64 1 (/.f64 t (*.f64 y z))))
(-.f64 x (*.f64 (/.f64 1 t) (*.f64 z y)))
(-.f64 x (/.f64 1 (*.f64 (/.f64 1 (*.f64 z y)) t)))
(-.f64 x (/.f64 (*.f64 (*.f64 y z) (*.f64 z 1/2)) t))
(-.f64 x (/.f64 (*.f64 (+.f64 1 (*.f64 1/2 z)) (*.f64 y z)) t))
(-.f64 x (/.f64 (*.f64 z (+.f64 y (*.f64 (*.f64 y -1/2) (*.f64 y z)))) t))
(-.f64 x (/.f64 1 (*.f64 (+.f64 1 (*.f64 1/2 z)) (*.f64 y (*.f64 t z)))))
(-.f64 (*.f64 (/.f64 z (/.f64 t z)) (*.f64 (-.f64 y (*.f64 y y)) -1/2)) (*.f64 (/.f64 y t) z))
(/.f64 (neg.f64 (*.f64 y (expm1.f64 z))) t)
(*.f64 (expm1.f64 z) (/.f64 (neg.f64 y) t))
Outputs
x
(-.f64 x (/.f64 (*.f64 z y) t))
Calls

4 calls:

109.0ms
x
97.0ms
y
78.0ms
t
67.0ms
z
Results
ErrorSegmentsBranch
12.0b3x
10.7b4y
9.8b2z
12.1b3t
Compiler

Compiled 245 to 121 computations (50.6% saved)

bsearch92.0ms (0.4%)

Algorithm
1×binary-search
Steps
TimeLeftRight
92.0ms
-25085022145900940.0
-14323488452568178.0
Compiler

Compiled 96 to 70 computations (27.1% saved)

regimes90.0ms (0.4%)

Counts
8 → 2
Calls
Call 1
Inputs
x
x
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 (neg.f64 y) z) t)
(*.f64 y (neg.f64 (/.f64 z t)))
(*.f64 (neg.f64 (/.f64 y t)) z)
(/.f64 (neg.f64 (*.f64 y z)) t)
(-.f64 x (*.f64 (/.f64 z t) y))
Outputs
x
(-.f64 x (*.f64 (/.f64 z t) y))
Calls

4 calls:

31.0ms
t
22.0ms
x
20.0ms
y
15.0ms
z
Results
ErrorSegmentsBranch
12.1b3x
11.0b4y
9.8b2z
12.2b3t
Compiler

Compiled 62 to 35 computations (43.5% saved)

bsearch95.0ms (0.4%)

Algorithm
1×binary-search
Steps
TimeLeftRight
95.0ms
-25085022145900940.0
-14323488452568178.0
Compiler

Compiled 96 to 70 computations (27.1% saved)

regimes45.0ms (0.2%)

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

4 calls:

18.0ms
t
14.0ms
x
6.0ms
z
5.0ms
y
Results
ErrorSegmentsBranch
14.6b3x
15.8b1y
15.8b1z
14.3b3t
Compiler

Compiled 55 to 33 computations (40% saved)

bsearch321.0ms (1.4%)

Algorithm
2×binary-search
Steps
TimeLeftRight
170.0ms
4.3857165798153556e-247
1.8021388022174387e-245
151.0ms
-9.810798911517797e-284
-1.5636653793993793e-298
Compiler

Compiled 24 to 18 computations (25% saved)

regimes45.0ms (0.2%)

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

4 calls:

23.0ms
x
13.0ms
t
4.0ms
z
4.0ms
y
Results
ErrorSegmentsBranch
14.6b3x
15.8b1y
15.8b1z
14.6b3t
Compiler

Compiled 37 to 25 computations (32.4% saved)

bsearch250.0ms (1.1%)

Algorithm
2×binary-search
Steps
TimeLeftRight
141.0ms
-1.73443205492674e-279
-4.43120932508454e-284
109.0ms
-5.444136328967944e-212
-8.221599547393437e-214
Compiler

Compiled 24 to 18 computations (25% saved)

regimes17.0ms (0.1%)

Accuracy

Total -46.4b remaining (-294.2%)

Threshold costs -46.4b (-294.2%)

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

4 calls:

4.0ms
y
4.0ms
x
4.0ms
z
4.0ms
t
Results
ErrorSegmentsBranch
15.8b1x
15.8b1y
15.8b1z
15.8b1t
Compiler

Compiled 31 to 22 computations (29% saved)

simplify22.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
083320
1130320
2186320
3224320
4245320
5250320
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) 7737125245533627/77371252455336267181195264) (-.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 y -5782256785499879/134217728) (-.f64 x (/.f64 (log1p.f64 (*.f64 y z)) t)) (if (<=.f64 y 2515658629545871/618970019642690137449562112) (-.f64 x (*.f64 (/.f64 (expm1.f64 z) t) y)) (-.f64 x (/.f64 (log1p.f64 (*.f64 z (+.f64 (*.f64 y (*.f64 1/2 z)) y))) t))))
(if (<=.f64 y -5782256785499879/134217728) (-.f64 x (/.f64 (log1p.f64 (*.f64 y z)) t)) (if (<=.f64 y 6361871214991799/18889465931478580854784) (-.f64 x (*.f64 (/.f64 (expm1.f64 z) t) y)) (-.f64 x (/.f64 (log1p.f64 (*.f64 y z)) t))))
(if (<=.f64 y -5782256785499879/134217728) (-.f64 x (/.f64 (log1p.f64 (*.f64 y z)) t)) (if (<=.f64 y 6361871214991799/18889465931478580854784) (-.f64 x (/.f64 (*.f64 (expm1.f64 z) y) t)) (-.f64 x (/.f64 (log1p.f64 (*.f64 y z)) t))))
(if (<=.f64 z -14500000000000000) x (-.f64 x (/.f64 (log1p.f64 (*.f64 y z)) t)))
(if (<=.f64 z -25000000000000000) x (-.f64 x (/.f64 (*.f64 z y) t)))
(if (<=.f64 z -25000000000000000) x (-.f64 x (*.f64 (/.f64 z t) y)))
(if (<=.f64 t -8212777716457017/83711609936427134449095706957812641450109750914494813081542999091433675869135634569781123344976238916218333821683839595717745725444712034656129512302332615655738810740814304573602145352049774545921517048070675585809233916151552871555980812078727054020087472481926110684847108059786128022165669281792) x (if (<=.f64 t 6905049336634477/15744403932561434696684473303452629045213679255131528440951130063136634306810047014785327192773139116009306758441243430342744218096217082060889571263281690386187633395165356521866664817226721079737670210248565328244806179188238434160900023542852296724603729870848) (*.f64 y (neg.f64 (/.f64 z t))) x))
(if (<=.f64 x -2579382369285369/47379092172262845921294540053176957863064148471578876072358765808900480733837185251796826441303908628860099203403658239934435426150964794660775368501012608007948455078761288621529091968737745508583465551566054344204493617364992) x (if (<=.f64 x -138465976374877/79833612381388792466254908521473542642698050417418301660101889697488475674758562631398318619705428043573697873767699809758897519535743746429566871931393256812800226918043427060701508857774519487306134269781756959733232418204834815555554210737921766300284836275030241665694339809213760397115392) (/.f64 (*.f64 (neg.f64 y) z) t) x))
x
Outputs
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))
(if (<=.f64 (exp.f64 z) 7737125245533627/77371252455336267181195264) (-.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) 7737125245533627/77371252455336267181195264) (-.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 y -5782256785499879/134217728) (-.f64 x (/.f64 (log1p.f64 (*.f64 y z)) t)) (if (<=.f64 y 2515658629545871/618970019642690137449562112) (-.f64 x (*.f64 (/.f64 (expm1.f64 z) t) y)) (-.f64 x (/.f64 (log1p.f64 (*.f64 z (+.f64 (*.f64 y (*.f64 1/2 z)) y))) t))))
(if (<=.f64 y -5782256785499879/134217728) (-.f64 x (/.f64 (log1p.f64 (*.f64 y z)) t)) (if (<=.f64 y 2515658629545871/618970019642690137449562112) (-.f64 x (*.f64 y (/.f64 (expm1.f64 z) t))) (-.f64 x (/.f64 (log1p.f64 (*.f64 z (+.f64 y (*.f64 y (*.f64 z 1/2))))) t))))
(if (<=.f64 y -5782256785499879/134217728) (-.f64 x (/.f64 (log1p.f64 (*.f64 y z)) t)) (if (<=.f64 y 6361871214991799/18889465931478580854784) (-.f64 x (*.f64 (/.f64 (expm1.f64 z) t) y)) (-.f64 x (/.f64 (log1p.f64 (*.f64 y z)) t))))
(if (<=.f64 y -5782256785499879/134217728) (-.f64 x (/.f64 (log1p.f64 (*.f64 y z)) t)) (if (<=.f64 y 6361871214991799/18889465931478580854784) (-.f64 x (*.f64 y (/.f64 (expm1.f64 z) t))) (-.f64 x (/.f64 (log1p.f64 (*.f64 y z)) t))))
(if (<=.f64 y -5782256785499879/134217728) (-.f64 x (/.f64 (log1p.f64 (*.f64 y z)) t)) (if (<=.f64 y 6361871214991799/18889465931478580854784) (-.f64 x (/.f64 (*.f64 (expm1.f64 z) y) t)) (-.f64 x (/.f64 (log1p.f64 (*.f64 y z)) t))))
(if (<=.f64 y -5782256785499879/134217728) (-.f64 x (/.f64 (log1p.f64 (*.f64 y z)) t)) (if (<=.f64 y 6361871214991799/18889465931478580854784) (-.f64 x (/.f64 (*.f64 y (expm1.f64 z)) t)) (-.f64 x (/.f64 (log1p.f64 (*.f64 y z)) t))))
(if (<=.f64 z -14500000000000000) x (-.f64 x (/.f64 (log1p.f64 (*.f64 y z)) t)))
(if (<=.f64 z -25000000000000000) x (-.f64 x (/.f64 (*.f64 z y) t)))
(if (<=.f64 z -25000000000000000) x (-.f64 x (/.f64 (*.f64 y z) t)))
(if (<=.f64 z -25000000000000000) x (-.f64 x (*.f64 (/.f64 z t) y)))
(if (<=.f64 z -25000000000000000) x (-.f64 x (*.f64 y (/.f64 z t))))
(if (<=.f64 t -8212777716457017/83711609936427134449095706957812641450109750914494813081542999091433675869135634569781123344976238916218333821683839595717745725444712034656129512302332615655738810740814304573602145352049774545921517048070675585809233916151552871555980812078727054020087472481926110684847108059786128022165669281792) x (if (<=.f64 t 6905049336634477/15744403932561434696684473303452629045213679255131528440951130063136634306810047014785327192773139116009306758441243430342744218096217082060889571263281690386187633395165356521866664817226721079737670210248565328244806179188238434160900023542852296724603729870848) (*.f64 y (neg.f64 (/.f64 z t))) x))
(if (<=.f64 t -8212777716457017/83711609936427134449095706957812641450109750914494813081542999091433675869135634569781123344976238916218333821683839595717745725444712034656129512302332615655738810740814304573602145352049774545921517048070675585809233916151552871555980812078727054020087472481926110684847108059786128022165669281792) x (if (<=.f64 t 6905049336634477/15744403932561434696684473303452629045213679255131528440951130063136634306810047014785327192773139116009306758441243430342744218096217082060889571263281690386187633395165356521866664817226721079737670210248565328244806179188238434160900023542852296724603729870848) (*.f64 y (/.f64 (neg.f64 z) t)) x))
(if (<=.f64 x -2579382369285369/47379092172262845921294540053176957863064148471578876072358765808900480733837185251796826441303908628860099203403658239934435426150964794660775368501012608007948455078761288621529091968737745508583465551566054344204493617364992) x (if (<=.f64 x -138465976374877/79833612381388792466254908521473542642698050417418301660101889697488475674758562631398318619705428043573697873767699809758897519535743746429566871931393256812800226918043427060701508857774519487306134269781756959733232418204834815555554210737921766300284836275030241665694339809213760397115392) (/.f64 (*.f64 (neg.f64 y) z) t) x))
(if (<=.f64 x -2579382369285369/47379092172262845921294540053176957863064148471578876072358765808900480733837185251796826441303908628860099203403658239934435426150964794660775368501012608007948455078761288621529091968737745508583465551566054344204493617364992) x (if (<=.f64 x -138465976374877/79833612381388792466254908521473542642698050417418301660101889697488475674758562631398318619705428043573697873767699809758897519535743746429566871931393256812800226918043427060701508857774519487306134269781756959733232418204834815555554210737921766300284836275030241665694339809213760397115392) (/.f64 (*.f64 z (neg.f64 y)) t) x))
(if (<=.f64 x -2579382369285369/47379092172262845921294540053176957863064148471578876072358765808900480733837185251796826441303908628860099203403658239934435426150964794660775368501012608007948455078761288621529091968737745508583465551566054344204493617364992) x (if (<=.f64 x -138465976374877/79833612381388792466254908521473542642698050417418301660101889697488475674758562631398318619705428043573697873767699809758897519535743746429566871931393256812800226918043427060701508857774519487306134269781756959733232418204834815555554210737921766300284836275030241665694339809213760397115392) (/.f64 (*.f64 y (neg.f64 z)) t) x))
x
Compiler

Compiled 260 to 158 computations (39.2% saved)

soundness310.0ms (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)

end113.0ms (0.5%)

Compiler

Compiled 220 to 97 computations (55.9% saved)

Profiling

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