Details

Time bar (total: 24.8s)

analyze952.0ms (3.8%)

Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.8%0.2%0%0%0%0
0%0%99.8%0.2%0%0%0%1
0%0%99.8%0.2%0%0%0%2
0%0%99.8%0.2%0%0%0%3
0%0%99.8%0.2%0%0%0%4
0%0%99.8%0.2%0%0%0%5
0%0%99.8%0.2%0%0%0%6
0%0%99.8%0.2%0%0%0%7
0%0%99.8%0.2%0%0%0%8
1.6%1.6%98.2%0.2%0%0%0%9
2.3%2.3%97.5%0.2%0%0%0%10
11.7%11.7%88.1%0.2%0%0%0%11
13.1%12.3%81.3%0.2%0%6.2%0%12
Compiler

Compiled 18 to 13 computations (27.8% saved)

sample9.2s (37.1%)

Results
3.1s1564×body8192exit
2.1s1817×body1024valid
1.6s4709×body256valid
1.3s1389×body512valid
645.0ms341×body2048valid
343.0ms1994×body256invalid
97.0ms189×body1024invalid
78.0ms248×body512invalid
5.0ms26×body256infinite
1.0ms1×body1024infinite
Bogosity

preprocess267.0ms (1.1%)

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)

simplify184.0ms (0.7%)

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

Useful iterations: 4 (0.0ms)

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

eval1.0ms (0%)

Compiler

Compiled 26 to 17 computations (34.6% saved)

prune2.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New112
Fresh101
Picked000
Done000
Total213
Error
1.1b
Counts
3 → 1
Alt Table
Click to see full alt table
StatusErrorProgram
▶1.1b
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))
Compiler

Compiled 13 to 9 computations (30.8% saved)

localize111.0ms (0.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(log1p.f64 (*.f64 y (expm1.f64 z)))
✓0.0b
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))
✓0.0b
(*.f64 y (expm1.f64 z))
✓4.3b
(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)
Compiler

Compiled 35 to 9 computations (74.3% saved)

series238.0ms (1%)

Counts
4 → 132
Calls

33 calls:

TimeVariablePointExpression
123.0ms
t
@0
(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)
48.0ms
z
@-inf
(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)
34.0ms
z
@inf
(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)
7.0ms
t
@inf
(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)
5.0ms
z
@0
(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)

rewrite181.0ms (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)
(*.f64 y (expm1.f64 z))
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))
(log1p.f64 (*.f64 y (expm1.f64 z)))
Outputs
((#(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 (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 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 2) (*.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (/.f64 1 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (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 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (*.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (/.f64 1 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (/.f64 1 (neg.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 t) (log1p.f64 (*.f64 y (expm1.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 2) 1) (/.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 1) (/.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (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) (cbrt.f64 (*.f64 t t))) (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (cbrt.f64 (*.f64 t t))) (/.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (cbrt.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 t -1/2) (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (sqrt.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 2) (sqrt.f64 t)) (/.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (sqrt.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 3) 1/3)))) (#(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 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (fma.f64 y (expm1.f64 z) 1) (/.f64 1 t)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.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 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)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 1))))))
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simplify112.0ms (0.5%)

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

Useful iterations: 2 (0.0ms)

IterNodesCost
02072738
16482655
221672603
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 (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)
(*.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)))
Outputs
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (expm1.f64 z) (/.f64 t y))
(*.f64 (/.f64 y t) (expm1.f64 z))
(+.f64 (/.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 (pow.f64 (expm1.f64 z) 2) t) (*.f64 y y)) (*.f64 (/.f64 y t) (expm1.f64 z)))
(+.f64 (*.f64 1/3 (/.f64 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 3) (pow.f64 y 3)) t)) (+.f64 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t) (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (pow.f64 y 2)) t))))
(fma.f64 1/3 (/.f64 (pow.f64 (expm1.f64 z) 3) (/.f64 t (pow.f64 y 3))) (+.f64 (/.f64 (expm1.f64 z) (/.f64 t y)) (*.f64 -1/2 (/.f64 (pow.f64 (expm1.f64 z) 2) (/.f64 t (*.f64 y y))))))
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(+.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (pow.f64 y 2))) (*.f64 1/3 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 3) (pow.f64 y 3)))))
(fma.f64 (expm1.f64 z) y (fma.f64 -1/2 (*.f64 (pow.f64 (expm1.f64 z) 2) (*.f64 y y)) (*.f64 1/3 (*.f64 (pow.f64 (expm1.f64 z) 3) (pow.f64 y 3)))))
(fma.f64 (expm1.f64 z) y (fma.f64 -1/2 (*.f64 (pow.f64 (expm1.f64 z) 2) (*.f64 y y)) (*.f64 (pow.f64 (expm1.f64 z) 3) (*.f64 (pow.f64 y 3) 1/3))))
(fma.f64 (expm1.f64 z) y (*.f64 (*.f64 y y) (+.f64 (*.f64 -1/2 (pow.f64 (expm1.f64 z) 2)) (*.f64 1/3 (*.f64 (pow.f64 (expm1.f64 z) 3) y)))))
(+.f64 (*.f64 -1/4 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 4) (pow.f64 y 4))) (+.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (pow.f64 y 2))) (*.f64 1/3 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 3) (pow.f64 y 3))))))
(fma.f64 -1/4 (*.f64 (pow.f64 (expm1.f64 z) 4) (pow.f64 y 4)) (fma.f64 (expm1.f64 z) y (fma.f64 -1/2 (*.f64 (pow.f64 (expm1.f64 z) 2) (*.f64 y y)) (*.f64 1/3 (*.f64 (pow.f64 (expm1.f64 z) 3) (pow.f64 y 3))))))
(fma.f64 -1/4 (*.f64 (pow.f64 (expm1.f64 z) 4) (pow.f64 y 4)) (fma.f64 (expm1.f64 z) y (fma.f64 -1/2 (*.f64 (pow.f64 (expm1.f64 z) 2) (*.f64 y y)) (*.f64 (pow.f64 (expm1.f64 z) 3) (*.f64 (pow.f64 y 3) 1/3)))))
(fma.f64 -1/4 (*.f64 (pow.f64 (expm1.f64 z) 4) (pow.f64 y 4)) (fma.f64 (expm1.f64 z) y (*.f64 (*.f64 y y) (+.f64 (*.f64 -1/2 (pow.f64 (expm1.f64 z) 2)) (*.f64 1/3 (*.f64 (pow.f64 (expm1.f64 z) 3) y))))))
(+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y))))
(+.f64 (log.f64 (expm1.f64 z)) (neg.f64 (neg.f64 (log.f64 y))))
(+.f64 (log.f64 (expm1.f64 z)) (log.f64 y))
(+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (+.f64 (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y)) (*.f64 -1 (log.f64 (/.f64 1 y)))))
(+.f64 (log.f64 (expm1.f64 z)) (+.f64 (neg.f64 (neg.f64 (log.f64 y))) (/.f64 1 (*.f64 (expm1.f64 z) y))))
(+.f64 (log.f64 (expm1.f64 z)) (+.f64 (log.f64 y) (/.f64 (/.f64 1 y) (expm1.f64 z))))
(+.f64 (log.f64 y) (+.f64 (log.f64 (expm1.f64 z)) (/.f64 1 (*.f64 (expm1.f64 z) 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 (log.f64 (expm1.f64 z)) (-.f64 (+.f64 (neg.f64 (neg.f64 (log.f64 y))) (/.f64 1 (*.f64 (expm1.f64 z) y))) (/.f64 1/2 (*.f64 (pow.f64 (expm1.f64 z) 2) (*.f64 y y)))))
(+.f64 (log.f64 (expm1.f64 z)) (+.f64 (log.f64 y) (-.f64 (/.f64 (/.f64 1 y) (expm1.f64 z)) (/.f64 (/.f64 1/2 (*.f64 y y)) (pow.f64 (expm1.f64 z) 2)))))
(+.f64 (log.f64 y) (-.f64 (+.f64 (log.f64 (expm1.f64 z)) (/.f64 1 (*.f64 (expm1.f64 z) y))) (/.f64 1/2 (*.f64 y (*.f64 (pow.f64 (expm1.f64 z) 2) y)))))
(-.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (+.f64 (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y)) (+.f64 (*.f64 1/3 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 3) (pow.f64 y 3)))) (*.f64 -1 (log.f64 (/.f64 1 y)))))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (pow.f64 y 2)))))
(+.f64 (log.f64 (expm1.f64 z)) (-.f64 (+.f64 (/.f64 1 (*.f64 (expm1.f64 z) y)) (+.f64 (neg.f64 (neg.f64 (log.f64 y))) (/.f64 1/3 (*.f64 (pow.f64 (expm1.f64 z) 3) (pow.f64 y 3))))) (/.f64 1/2 (*.f64 (pow.f64 (expm1.f64 z) 2) (*.f64 y y)))))
(+.f64 (+.f64 (+.f64 (log.f64 y) (/.f64 (/.f64 1 y) (expm1.f64 z))) (/.f64 1/3 (*.f64 (pow.f64 (expm1.f64 z) 3) (pow.f64 y 3)))) (-.f64 (log.f64 (expm1.f64 z)) (/.f64 (/.f64 1/2 (*.f64 y y)) (pow.f64 (expm1.f64 z) 2))))
(+.f64 (+.f64 (log.f64 y) (+.f64 (log.f64 (expm1.f64 z)) (/.f64 1 (*.f64 (expm1.f64 z) y)))) (+.f64 (/.f64 1/3 (*.f64 (pow.f64 (expm1.f64 z) 3) (pow.f64 y 3))) (/.f64 -1/2 (*.f64 y (*.f64 (pow.f64 (expm1.f64 z) 2) y)))))
(+.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 (expm1.f64 z) y))))
(+.f64 (-.f64 (log.f64 (neg.f64 (expm1.f64 z))) (log.f64 (/.f64 -1 y))) (/.f64 (/.f64 1 y) (expm1.f64 z)))
(+.f64 (log.f64 (neg.f64 (expm1.f64 z))) (-.f64 (/.f64 1 (*.f64 (expm1.f64 z) y)) (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 (expm1.f64 z) y)))) (/.f64 1/2 (*.f64 (pow.f64 (expm1.f64 z) 2) (*.f64 y y))))
(+.f64 (+.f64 (-.f64 (log.f64 (neg.f64 (expm1.f64 z))) (log.f64 (/.f64 -1 y))) (/.f64 (/.f64 1 y) (expm1.f64 z))) (/.f64 -1/2 (*.f64 (pow.f64 (expm1.f64 z) 2) (*.f64 y y))))
(+.f64 (log.f64 (neg.f64 (expm1.f64 z))) (-.f64 (-.f64 (/.f64 1 (*.f64 (expm1.f64 z) y)) (log.f64 (/.f64 -1 y))) (/.f64 1/2 (*.f64 y (*.f64 (pow.f64 (expm1.f64 z) 2) y)))))
(-.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 (expm1.f64 z) y)) (+.f64 (log.f64 (neg.f64 (expm1.f64 z))) (/.f64 1/3 (*.f64 (pow.f64 (expm1.f64 z) 3) (pow.f64 y 3)))))) (/.f64 1/2 (*.f64 (pow.f64 (expm1.f64 z) 2) (*.f64 y y))))
(+.f64 (+.f64 (+.f64 (-.f64 (log.f64 (neg.f64 (expm1.f64 z))) (log.f64 (/.f64 -1 y))) (/.f64 (/.f64 1 y) (expm1.f64 z))) (/.f64 1/3 (*.f64 (pow.f64 (expm1.f64 z) 3) (pow.f64 y 3)))) (/.f64 -1/2 (*.f64 (pow.f64 (expm1.f64 z) 2) (*.f64 y y))))
(+.f64 (+.f64 (log.f64 (neg.f64 (expm1.f64 z))) (/.f64 1 (*.f64 (expm1.f64 z) y))) (-.f64 (-.f64 (/.f64 1/3 (*.f64 (pow.f64 (expm1.f64 z) 3) (pow.f64 y 3))) (log.f64 (/.f64 -1 y))) (/.f64 1/2 (*.f64 y (*.f64 (pow.f64 (expm1.f64 z) 2) y)))))
(*.f64 y z)
(*.f64 z y)
(+.f64 (*.f64 y z) (*.f64 1/2 (*.f64 (pow.f64 z 2) (+.f64 (*.f64 -1 (pow.f64 y 2)) y))))
(fma.f64 y z (*.f64 (*.f64 1/2 (*.f64 z z)) (fma.f64 -1 (*.f64 y y) y)))
(fma.f64 1/2 (*.f64 z (*.f64 z (-.f64 y (*.f64 y y)))) (*.f64 z y))
(fma.f64 (-.f64 y (*.f64 y y)) (*.f64 1/2 (*.f64 z z)) (*.f64 z 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)))))
(fma.f64 y z (fma.f64 1/6 (*.f64 (pow.f64 z 3) (fma.f64 -3 (*.f64 y y) (+.f64 y (*.f64 2 (pow.f64 y 3))))) (*.f64 (*.f64 1/2 (*.f64 z z)) (fma.f64 -1 (*.f64 y y) y))))
(fma.f64 z y (fma.f64 1/2 (*.f64 z (*.f64 z (-.f64 y (*.f64 y y)))) (*.f64 1/6 (*.f64 (fma.f64 (*.f64 y y) -3 (fma.f64 2 (pow.f64 y 3) y)) (pow.f64 z 3)))))
(fma.f64 z y (*.f64 (*.f64 z z) (+.f64 (*.f64 1/2 (-.f64 y (*.f64 y y))) (*.f64 (fma.f64 y (*.f64 y -3) (fma.f64 2 (pow.f64 y 3) y)) (*.f64 1/6 z)))))
(+.f64 (*.f64 y z) (+.f64 (*.f64 1/6 (*.f64 (+.f64 (*.f64 -3 (pow.f64 y 2)) (+.f64 y (*.f64 2 (pow.f64 y 3)))) (pow.f64 z 3))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 z 2) (+.f64 (*.f64 -1 (pow.f64 y 2)) y))) (*.f64 1/24 (*.f64 (+.f64 (*.f64 -3 (pow.f64 y 2)) (+.f64 y (+.f64 (*.f64 12 (pow.f64 y 3)) (+.f64 (*.f64 -4 (pow.f64 y 2)) (*.f64 -6 (pow.f64 y 4)))))) (pow.f64 z 4))))))
(fma.f64 y z (fma.f64 1/6 (*.f64 (pow.f64 z 3) (fma.f64 -3 (*.f64 y y) (+.f64 y (*.f64 2 (pow.f64 y 3))))) (fma.f64 1/2 (*.f64 (*.f64 z z) (fma.f64 -1 (*.f64 y y) y)) (*.f64 1/24 (*.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 (pow.f64 y 4) -6))))))))))
(fma.f64 z y (fma.f64 1/6 (*.f64 (fma.f64 (*.f64 y y) -3 (fma.f64 2 (pow.f64 y 3) y)) (pow.f64 z 3)) (fma.f64 1/24 (*.f64 (+.f64 (fma.f64 (pow.f64 y 3) 12 (fma.f64 (*.f64 y y) -4 (*.f64 (pow.f64 y 4) -6))) (fma.f64 (*.f64 y y) -3 y)) (pow.f64 z 4)) (*.f64 1/2 (*.f64 z (*.f64 z (-.f64 y (*.f64 y y))))))))
(fma.f64 z y (fma.f64 1/24 (*.f64 (+.f64 (fma.f64 (pow.f64 y 4) -6 (*.f64 (*.f64 y y) (+.f64 (*.f64 12 y) -4))) (fma.f64 (*.f64 -3 y) y y)) (pow.f64 z 4)) (*.f64 (*.f64 z z) (+.f64 (*.f64 1/2 (-.f64 y (*.f64 y y))) (*.f64 (fma.f64 y (*.f64 y -3) (fma.f64 2 (pow.f64 y 3) y)) (*.f64 1/6 z))))))
(log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y)))
(log1p.f64 (*.f64 (expm1.f64 z) y))
(log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y)))
(log1p.f64 (*.f64 (expm1.f64 z) y))
(log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y)))
(log1p.f64 (*.f64 (expm1.f64 z) y))
(log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y)))
(log1p.f64 (*.f64 (expm1.f64 z) y))
(log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y)))
(log1p.f64 (*.f64 (expm1.f64 z) y))
(log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y)))
(log1p.f64 (*.f64 (expm1.f64 z) y))
(log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y)))
(log1p.f64 (*.f64 (expm1.f64 z) y))
(log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y)))
(log1p.f64 (*.f64 (expm1.f64 z) y))

eval367.0ms (1.5%)

Compiler

Compiled 9900 to 3501 computations (64.6% saved)

prune424.0ms (1.7%)

Pruning

14 alts after pruning (13 fresh and 1 done)

PrunedKeptTotal
New32813341
Fresh000
Picked011
Done000
Total32814342
Error
0b
Counts
342 → 14
Alt Table
Click to see full alt table
StatusErrorProgram
▶15.8b
(-.f64 x (/.f64 z (/.f64 t y)))
17.4b
x
46.5b
(-.f64 x (/.f64 (-.f64 (log.f64 (neg.f64 (expm1.f64 z))) (log.f64 (/.f64 -1 y))) t))
▶11.8b
(-.f64 x (*.f64 (/.f64 y t) (expm1.f64 z)))
▶1.1b
(-.f64 x (*.f64 (/.f64 1 t) (log1p.f64 (*.f64 y (expm1.f64 z)))))
23.3b
(fma.f64 (sqrt.f64 (/.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) t)) (sqrt.f64 (/.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) t)) x)
✓1.1b
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))
2.4b
(pow.f64 (cbrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) 3)
14.8b
(-.f64 x (/.f64 (*.f64 y z) t))
11.6b
(-.f64 x (/.f64 (log1p.f64 (*.f64 z y)) t))
16.5b
(fma.f64 y (-.f64 (/.f64 1 t) (/.f64 (exp.f64 z) t)) x)
▶16.5b
(+.f64 (*.f64 y (-.f64 (/.f64 1 t) (/.f64 (exp.f64 z) t))) x)
▶1.1b
(-.f64 x (pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) -1))
46.6b
(/.f64 (neg.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) t)
Compiler

Compiled 370 to 249 computations (32.7% saved)

localize22.0ms (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))
0.0b
(*.f64 y (expm1.f64 z))
✓1.0b
(pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) -1)
✓4.2b
(/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z))))
Compiler

Compiled 47 to 14 computations (70.2% saved)

series87.0ms (0.4%)

Counts
3 → 120
Calls

30 calls:

TimeVariablePointExpression
23.0ms
y
@-inf
(/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z))))
23.0ms
y
@inf
(pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) -1)
15.0ms
y
@-inf
(pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) -1)
2.0ms
z
@0
(pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) -1)
2.0ms
z
@0
(/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z))))

rewrite203.0ms (0.8%)

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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simplify214.0ms (0.9%)

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))))))
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(/.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))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 t (+.f64 (*.f64 -1 (pow.f64 y 2)) y)) (pow.f64 y 2))) (/.f64 t (*.f64 y z)))
(+.f64 (*.f64 -1 (*.f64 z (+.f64 (*.f64 1/6 (/.f64 (*.f64 (+.f64 y (+.f64 (*.f64 -3 (pow.f64 y 2)) (*.f64 2 (pow.f64 y 3)))) t) (pow.f64 y 2))) (*.f64 -1/4 (/.f64 (*.f64 t (pow.f64 (+.f64 (*.f64 -1 (pow.f64 y 2)) y) 2)) (pow.f64 y 3)))))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 t (+.f64 (*.f64 -1 (pow.f64 y 2)) y)) (pow.f64 y 2))) (/.f64 t (*.f64 y z))))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 z 2) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (+.f64 (*.f64 -1 (pow.f64 y 2)) y) (+.f64 (*.f64 1/6 (/.f64 (*.f64 t (+.f64 (*.f64 -3 (pow.f64 y 2)) (+.f64 y (*.f64 2 (pow.f64 y 3))))) (pow.f64 y 2))) (*.f64 -1/4 (/.f64 (*.f64 t (pow.f64 (+.f64 (*.f64 -1 (pow.f64 y 2)) y) 2)) (pow.f64 y 3))))) y)) (+.f64 (*.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)))))) t) (pow.f64 y 2))) (*.f64 -1/12 (/.f64 (*.f64 (+.f64 y (+.f64 (*.f64 -3 (pow.f64 y 2)) (*.f64 2 (pow.f64 y 3)))) (*.f64 t (+.f64 (*.f64 -1 (pow.f64 y 2)) y))) (pow.f64 y 3))))))) (+.f64 (*.f64 -1 (*.f64 z (+.f64 (*.f64 1/6 (/.f64 (*.f64 (+.f64 y (+.f64 (*.f64 -3 (pow.f64 y 2)) (*.f64 2 (pow.f64 y 3)))) t) (pow.f64 y 2))) (*.f64 -1/4 (/.f64 (*.f64 t (pow.f64 (+.f64 (*.f64 -1 (pow.f64 y 2)) y) 2)) (pow.f64 y 3)))))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 t (+.f64 (*.f64 -1 (pow.f64 y 2)) y)) (pow.f64 y 2))) (/.f64 t (*.f64 y z)))))
(/.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 (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)
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(+.f64 (*.f64 (pow.f64 y 3) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (+.f64 (*.f64 -1/4 (*.f64 (-.f64 (exp.f64 z) 1) t)) (*.f64 1/3 (*.f64 (-.f64 (exp.f64 z) 1) t)))) (pow.f64 t 2))) (*.f64 -1/4 (/.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 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 (/.f64 (*.f64 (pow.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) 2) (+.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 (pow.f64 y 2) (pow.f64 t 2)))) x) (+.f64 (/.f64 (log.f64 (-.f64 (exp.f64 z) 1)) t) (+.f64 (/.f64 1 (*.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (*.f64 (pow.f64 y 2) 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 (/.f64 (*.f64 (pow.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) 2) (+.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 (pow.f64 y 2) (pow.f64 t 2)))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) (+.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 (pow.f64 y 3) (pow.f64 t 2))))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (*.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) t))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) 2) (+.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 t 2)))) (*.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) (*.f64 (-.f64 (exp.f64 z) 1) (pow.f64 y 3))))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) 2) (+.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))))))) (*.f64 (pow.f64 y 3) (pow.f64 t 2)))) x)))) (+.f64 (/.f64 (log.f64 (-.f64 (exp.f64 z) 1)) t) (+.f64 (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) (*.f64 y t))) (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 y)) t)) (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (*.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) (*.f64 (pow.f64 y 2) 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 (/.f64 (*.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1)))) 2) (+.f64 (*.f64 -1 (/.f64 t (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1)))) 3)))) (*.f64 -1/2 (/.f64 t (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1)))) 2)))))) (*.f64 (pow.f64 y 2) (pow.f64 t 2)))) x) (+.f64 (/.f64 (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1))) t) (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 y)) t)) (+.f64 (/.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)))) (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (*.f64 (pow.f64 y 2) t))))))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1)))) 2) (+.f64 (*.f64 -1/3 (/.f64 t (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 3) (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1)))) 2)))) (+.f64 (*.f64 -1 (/.f64 t (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 3) (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1)))) 4)))) (*.f64 -1 (/.f64 t (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 3) (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1)))) 3))))))) (pow.f64 t 2))) (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1)))) (+.f64 (*.f64 -1 (/.f64 t (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1)))) 3)))) (*.f64 -1/2 (/.f64 t (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1)))) 2)))))) (*.f64 (-.f64 (exp.f64 z) 1) (pow.f64 t 2))) (/.f64 1 (*.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1)))) 2) (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 3) t))))) (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1)))) (+.f64 (*.f64 -1 (/.f64 t (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1)))) 3)))) (*.f64 -1/2 (/.f64 t (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1)))) 2)))))) (*.f64 (-.f64 (exp.f64 z) 1) (pow.f64 t 2))))) (pow.f64 y 3))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1)))) 2) (+.f64 (*.f64 -1 (/.f64 t (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1)))) 3)))) (*.f64 -1/2 (/.f64 t (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1)))) 2)))))) (*.f64 (pow.f64 y 2) (pow.f64 t 2)))) x)) (+.f64 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1)))) (*.f64 (pow.f64 y 2) t)))) (+.f64 (/.f64 (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1))) t) (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 y)) t)) (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) (*.f64 y t)))))))
x
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 z 2) (+.f64 (*.f64 -1 (pow.f64 y 2)) y)) t)) x))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) (+.f64 (*.f64 (pow.f64 z 3) (+.f64 (*.f64 -1/4 (/.f64 (pow.f64 (+.f64 (*.f64 -1 (pow.f64 y 2)) y) 2) (*.f64 y t))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 y 2) (+.f64 (*.f64 1/6 (/.f64 (*.f64 t (+.f64 (*.f64 -3 (pow.f64 y 2)) (+.f64 y (*.f64 2 (pow.f64 y 3))))) (pow.f64 y 2))) (*.f64 -1/4 (/.f64 (*.f64 t (pow.f64 (+.f64 (*.f64 -1 (pow.f64 y 2)) y) 2)) (pow.f64 y 3))))) (pow.f64 t 2))))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 z 2) (+.f64 (*.f64 -1 (pow.f64 y 2)) y)) t)) x)))
(-.f64 x (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t))
(-.f64 x (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t))
(-.f64 x (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t))
(-.f64 x (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t))
(-.f64 x (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t))
(-.f64 x (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t))
(-.f64 x (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t))
(-.f64 x (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t))
Outputs
(/.f64 t (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))))
(/.f64 t (log1p.f64 (*.f64 (expm1.f64 z) y)))
(/.f64 t (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))))
(/.f64 t (log1p.f64 (*.f64 (expm1.f64 z) y)))
(/.f64 t (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))))
(/.f64 t (log1p.f64 (*.f64 (expm1.f64 z) y)))
(/.f64 t (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))))
(/.f64 t (log1p.f64 (*.f64 (expm1.f64 z) y)))
(/.f64 t (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))))
(/.f64 t (log1p.f64 (*.f64 (expm1.f64 z) y)))
(/.f64 t (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))))
(/.f64 t (log1p.f64 (*.f64 (expm1.f64 z) y)))
(/.f64 t (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))))
(/.f64 t (log1p.f64 (*.f64 (expm1.f64 z) y)))
(/.f64 t (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))))
(/.f64 t (log1p.f64 (*.f64 (expm1.f64 z) y)))
(/.f64 t (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))))
(/.f64 t (log1p.f64 (*.f64 (expm1.f64 z) y)))
(/.f64 t (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))))
(/.f64 t (log1p.f64 (*.f64 (expm1.f64 z) y)))
(/.f64 t (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))))
(/.f64 t (log1p.f64 (*.f64 (expm1.f64 z) y)))
(/.f64 t (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))))
(/.f64 t (log1p.f64 (*.f64 (expm1.f64 z) y)))
(/.f64 t (*.f64 (-.f64 (exp.f64 z) 1) y))
(/.f64 t (*.f64 (expm1.f64 z) y))
(+.f64 (/.f64 t (*.f64 (-.f64 (exp.f64 z) 1) y)) (*.f64 1/2 t))
(+.f64 (/.f64 t (*.f64 (expm1.f64 z) y)) (*.f64 t 1/2))
(fma.f64 t 1/2 (/.f64 t (*.f64 (expm1.f64 z) y)))
(+.f64 (/.f64 t (*.f64 (-.f64 (exp.f64 z) 1) y)) (+.f64 (*.f64 1/2 t) (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/4 (*.f64 (-.f64 (exp.f64 z) 1) t)) (*.f64 1/3 (*.f64 (-.f64 (exp.f64 z) 1) t))) y))))
(+.f64 (/.f64 t (*.f64 (expm1.f64 z) y)) (fma.f64 1/2 t (neg.f64 (*.f64 y (*.f64 (*.f64 t (expm1.f64 z)) 1/12)))))
(-.f64 (fma.f64 t 1/2 (/.f64 t (*.f64 (expm1.f64 z) y))) (*.f64 y (*.f64 t (*.f64 (expm1.f64 z) 1/12))))
(+.f64 (/.f64 t (*.f64 (-.f64 (exp.f64 z) 1) y)) (+.f64 (*.f64 1/2 t) (+.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) (+.f64 (*.f64 -1/4 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) t)) (+.f64 (*.f64 1/2 (*.f64 (-.f64 (exp.f64 z) 1) (+.f64 (*.f64 -1/4 (*.f64 (-.f64 (exp.f64 z) 1) t)) (*.f64 1/3 (*.f64 (-.f64 (exp.f64 z) 1) t))))) (*.f64 1/6 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) t)))))) (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/4 (*.f64 (-.f64 (exp.f64 z) 1) t)) (*.f64 1/3 (*.f64 (-.f64 (exp.f64 z) 1) t))) y)))))
(+.f64 (/.f64 t (*.f64 (expm1.f64 z) y)) (fma.f64 1/2 t (*.f64 -1 (+.f64 (*.f64 (*.f64 y y) (fma.f64 -1/4 (*.f64 t (pow.f64 (expm1.f64 z) 2)) (fma.f64 1/2 (*.f64 (expm1.f64 z) (*.f64 (*.f64 t (expm1.f64 z)) 1/12)) (*.f64 (*.f64 t (pow.f64 (expm1.f64 z) 2)) 1/6)))) (*.f64 y (*.f64 (*.f64 t (expm1.f64 z)) 1/12))))))
(+.f64 (fma.f64 t 1/2 (/.f64 t (*.f64 (expm1.f64 z) y))) (neg.f64 (fma.f64 (*.f64 y y) (fma.f64 -1/4 (*.f64 t (pow.f64 (expm1.f64 z) 2)) (fma.f64 1/2 (*.f64 (*.f64 t (pow.f64 (expm1.f64 z) 2)) 1/12) (*.f64 t (*.f64 (pow.f64 (expm1.f64 z) 2) 1/6)))) (*.f64 y (*.f64 t (*.f64 (expm1.f64 z) 1/12))))))
(/.f64 t (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))))
(/.f64 t (+.f64 (log.f64 (expm1.f64 z)) (neg.f64 (neg.f64 (log.f64 y)))))
(/.f64 t (+.f64 (log.f64 (expm1.f64 z)) (log.f64 y)))
(+.f64 (/.f64 t (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y))))) (*.f64 -1 (/.f64 t (*.f64 (pow.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) 2) (*.f64 (-.f64 (exp.f64 z) 1) y)))))
(+.f64 (/.f64 t (+.f64 (log.f64 (expm1.f64 z)) (neg.f64 (neg.f64 (log.f64 y))))) (neg.f64 (/.f64 (/.f64 t (pow.f64 (+.f64 (log.f64 (expm1.f64 z)) (neg.f64 (neg.f64 (log.f64 y)))) 2)) (*.f64 (expm1.f64 z) y))))
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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))

localize17.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(-.f64 x (/.f64 z (/.f64 t y)))
✓8.7b
(/.f64 z (/.f64 t y))
Compiler

Compiled 23 to 7 computations (69.6% saved)

series49.0ms (0.2%)

Counts
2 → 84
Calls

21 calls:

TimeVariablePointExpression
34.0ms
t
@inf
(/.f64 z (/.f64 t y))
1.0ms
z
@0
(/.f64 z (/.f64 t y))
1.0ms
t
@0
(/.f64 z (/.f64 t y))
1.0ms
z
@inf
(/.f64 z (/.f64 t y))
1.0ms
y
@inf
(/.f64 z (/.f64 t y))

rewrite303.0ms (1.2%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0817
118217
2281317
Stop Event
1×node limit
Counts
2 → 253
Calls
Call 1
Inputs
(/.f64 z (/.f64 t y))
(-.f64 x (/.f64 z (/.f64 t y)))
Outputs
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simplify111.0ms (0.4%)

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

Useful iterations: 1 (0.0ms)

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

localize10.0ms (0%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(-.f64 x (*.f64 (/.f64 y t) (expm1.f64 z)))
✓4.1b
(*.f64 (/.f64 y t) (expm1.f64 z))
Compiler

Compiled 27 to 8 computations (70.4% saved)

series9.0ms (0%)

Counts
2 → 84
Calls

21 calls:

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

rewrite119.0ms (0.5%)

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

Useful iterations: 0 (0.0ms)

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

simplify94.0ms (0.4%)

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

Useful iterations: 4 (0.0ms)

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

localize24.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 (*.f64 y (-.f64 (/.f64 1 t) (/.f64 (exp.f64 z) t))) x)
✓0.0b
(/.f64 (exp.f64 z) t)
✓0.1b
(*.f64 y (-.f64 (/.f64 1 t) (/.f64 (exp.f64 z) t)))
✓4.5b
(-.f64 (/.f64 1 t) (/.f64 (exp.f64 z) t))
Compiler

Compiled 48 to 21 computations (56.3% saved)

series17.0ms (0.1%)

Counts
4 → 58
Calls

33 calls:

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

rewrite105.0ms (0.4%)

Algorithm
1×batch-egg-rewrite
Rules
665×log-prod_binary64
513×fma-def_binary64
355×pow2_binary64
268×fma-neg_binary64
243×pow1/3_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01240
126340
2390340
Stop Event
1×node limit
Counts
4 → 262
Calls
Call 1
Inputs
(-.f64 (/.f64 1 t) (/.f64 (exp.f64 z) t))
(*.f64 y (-.f64 (/.f64 1 t) (/.f64 (exp.f64 z) t)))
(/.f64 (exp.f64 z) t)
(+.f64 (*.f64 y (-.f64 (/.f64 1 t) (/.f64 (exp.f64 z) t))) x)
Outputs
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simplify70.0ms (0.3%)

Algorithm
1×egg-herbie
Rules
656×fma-neg_binary64
654×cancel-sign-sub-inv_binary64
576×fma-def_binary64
406×associate-*l/_binary64
371×associate-/l*_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
080780
1220772
2511754
31388687
43708663
Stop Event
1×node limit
Counts
320 → 299
Calls
Call 1
Inputs
(/.f64 (-.f64 1 (exp.f64 z)) t)
(/.f64 (-.f64 1 (exp.f64 z)) t)
(/.f64 (-.f64 1 (exp.f64 z)) t)
(/.f64 (-.f64 1 (exp.f64 z)) t)
(/.f64 (-.f64 1 (exp.f64 z)) t)
(/.f64 (-.f64 1 (exp.f64 z)) t)
(/.f64 (-.f64 1 (exp.f64 z)) t)
(/.f64 (-.f64 1 (exp.f64 z)) t)
(/.f64 (+.f64 1 (*.f64 -1 (exp.f64 z))) t)
(/.f64 (+.f64 1 (*.f64 -1 (exp.f64 z))) t)
(/.f64 (+.f64 1 (*.f64 -1 (exp.f64 z))) t)
(/.f64 (+.f64 1 (*.f64 -1 (exp.f64 z))) t)
(*.f64 -1 (/.f64 z t))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 z 2) t)) (*.f64 -1 (/.f64 z t)))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 z 2) t)) (+.f64 (*.f64 -1/6 (/.f64 (pow.f64 z 3) t)) (*.f64 -1 (/.f64 z t))))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 z 2) t)) (+.f64 (*.f64 -1/6 (/.f64 (pow.f64 z 3) t)) (+.f64 (*.f64 -1/24 (/.f64 (pow.f64 z 4) t)) (*.f64 -1 (/.f64 z t)))))
(/.f64 (*.f64 y (-.f64 1 (exp.f64 z))) t)
(/.f64 (*.f64 y (-.f64 1 (exp.f64 z))) t)
(/.f64 (*.f64 y (-.f64 1 (exp.f64 z))) t)
(/.f64 (*.f64 y (-.f64 1 (exp.f64 z))) t)
(/.f64 (*.f64 y (-.f64 1 (exp.f64 z))) t)
(/.f64 (*.f64 y (-.f64 1 (exp.f64 z))) t)
(/.f64 (*.f64 y (-.f64 1 (exp.f64 z))) t)
(/.f64 (*.f64 y (-.f64 1 (exp.f64 z))) t)
(/.f64 (*.f64 y (+.f64 1 (*.f64 -1 (exp.f64 z)))) t)
(/.f64 (*.f64 y (+.f64 1 (*.f64 -1 (exp.f64 z)))) t)
(/.f64 (*.f64 y (+.f64 1 (*.f64 -1 (exp.f64 z)))) t)
(/.f64 (*.f64 y (+.f64 1 (*.f64 -1 (exp.f64 z)))) t)
(*.f64 -1 (/.f64 (*.f64 y z) t))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) (*.f64 -1/2 (/.f64 (*.f64 y (pow.f64 z 2)) t)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 y (pow.f64 z 2)) t)) (*.f64 -1/6 (/.f64 (*.f64 y (pow.f64 z 3)) t))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 y (pow.f64 z 2)) t)) (+.f64 (*.f64 -1/24 (/.f64 (*.f64 y (pow.f64 z 4)) t)) (*.f64 -1/6 (/.f64 (*.f64 y (pow.f64 z 3)) t)))))
(/.f64 1 t)
(+.f64 (/.f64 z t) (/.f64 1 t))
(+.f64 (/.f64 z t) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 z 2) t)) (/.f64 1 t)))
(+.f64 (/.f64 z t) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 z 2) t)) (+.f64 (/.f64 1 t) (*.f64 1/6 (/.f64 (pow.f64 z 3) t)))))
x
(*.f64 y (-.f64 (/.f64 1 t) (/.f64 (exp.f64 z) t)))
(*.f64 y (-.f64 (/.f64 1 t) (/.f64 (exp.f64 z) t)))
(/.f64 (*.f64 y (-.f64 1 (exp.f64 z))) t)
(+.f64 (/.f64 (*.f64 y (-.f64 1 (exp.f64 z))) t) x)
(+.f64 (/.f64 (*.f64 y (-.f64 1 (exp.f64 z))) t) x)
(+.f64 (/.f64 (*.f64 y (-.f64 1 (exp.f64 z))) t) x)
x
(+.f64 (/.f64 (*.f64 y (-.f64 1 (exp.f64 z))) t) x)
(+.f64 (/.f64 (*.f64 y (-.f64 1 (exp.f64 z))) t) x)
(+.f64 (/.f64 (*.f64 y (-.f64 1 (exp.f64 z))) t) x)
x
(+.f64 (/.f64 (*.f64 y (+.f64 1 (*.f64 -1 (exp.f64 z)))) t) x)
(+.f64 (/.f64 (*.f64 y (+.f64 1 (*.f64 -1 (exp.f64 z)))) t) x)
(+.f64 (/.f64 (*.f64 y (+.f64 1 (*.f64 -1 (exp.f64 z)))) 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 y (-.f64 (/.f64 1 t) (/.f64 (exp.f64 z) t)))
x
x
Outputs
(/.f64 (-.f64 1 (exp.f64 z)) t)
(/.f64 (neg.f64 (expm1.f64 z)) t)
(neg.f64 (/.f64 (expm1.f64 z) t))
(/.f64 (-.f64 1 (exp.f64 z)) t)
(/.f64 (neg.f64 (expm1.f64 z)) t)
(neg.f64 (/.f64 (expm1.f64 z) t))
(/.f64 (-.f64 1 (exp.f64 z)) t)
(/.f64 (neg.f64 (expm1.f64 z)) t)
(neg.f64 (/.f64 (expm1.f64 z) t))
(/.f64 (-.f64 1 (exp.f64 z)) t)
(/.f64 (neg.f64 (expm1.f64 z)) t)
(neg.f64 (/.f64 (expm1.f64 z) t))
(/.f64 (-.f64 1 (exp.f64 z)) t)
(/.f64 (neg.f64 (expm1.f64 z)) t)
(neg.f64 (/.f64 (expm1.f64 z) t))
(/.f64 (-.f64 1 (exp.f64 z)) t)
(/.f64 (neg.f64 (expm1.f64 z)) t)
(neg.f64 (/.f64 (expm1.f64 z) t))
(/.f64 (-.f64 1 (exp.f64 z)) t)
(/.f64 (neg.f64 (expm1.f64 z)) t)
(neg.f64 (/.f64 (expm1.f64 z) t))
(/.f64 (-.f64 1 (exp.f64 z)) t)
(/.f64 (neg.f64 (expm1.f64 z)) t)
(neg.f64 (/.f64 (expm1.f64 z) t))
(/.f64 (+.f64 1 (*.f64 -1 (exp.f64 z))) t)
(/.f64 (-.f64 1 (exp.f64 z)) t)
(/.f64 (neg.f64 (expm1.f64 z)) t)
(neg.f64 (/.f64 (expm1.f64 z) t))
(/.f64 (+.f64 1 (*.f64 -1 (exp.f64 z))) t)
(/.f64 (-.f64 1 (exp.f64 z)) t)
(/.f64 (neg.f64 (expm1.f64 z)) t)
(neg.f64 (/.f64 (expm1.f64 z) t))
(/.f64 (+.f64 1 (*.f64 -1 (exp.f64 z))) t)
(/.f64 (-.f64 1 (exp.f64 z)) t)
(/.f64 (neg.f64 (expm1.f64 z)) t)
(neg.f64 (/.f64 (expm1.f64 z) t))
(/.f64 (+.f64 1 (*.f64 -1 (exp.f64 z))) t)
(/.f64 (-.f64 1 (exp.f64 z)) t)
(/.f64 (neg.f64 (expm1.f64 z)) t)
(neg.f64 (/.f64 (expm1.f64 z) t))
(*.f64 -1 (/.f64 z t))
(neg.f64 (/.f64 z t))
(/.f64 (neg.f64 z) t)
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 z 2) t)) (*.f64 -1 (/.f64 z t)))
(fma.f64 -1/2 (/.f64 (*.f64 z z) t) (neg.f64 (/.f64 z t)))
(fma.f64 -1/2 (/.f64 (*.f64 z z) t) (/.f64 (neg.f64 z) t))
(-.f64 (*.f64 (/.f64 -1/2 (/.f64 t z)) z) (/.f64 z t))
(-.f64 (*.f64 z (*.f64 (/.f64 -1/2 t) z)) (/.f64 z t))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 z 2) t)) (+.f64 (*.f64 -1/6 (/.f64 (pow.f64 z 3) t)) (*.f64 -1 (/.f64 z t))))
(fma.f64 -1/2 (/.f64 (*.f64 z z) t) (fma.f64 -1/6 (/.f64 (pow.f64 z 3) t) (neg.f64 (/.f64 z t))))
(fma.f64 -1/2 (/.f64 (*.f64 z z) t) (fma.f64 -1/6 (/.f64 (pow.f64 z 3) t) (/.f64 (neg.f64 z) t)))
(-.f64 (fma.f64 -1/6 (/.f64 (pow.f64 z 3) t) (*.f64 (/.f64 -1/2 (/.f64 t z)) z)) (/.f64 z t))
(-.f64 (*.f64 (*.f64 z z) (+.f64 (/.f64 -1/2 t) (*.f64 (/.f64 -1/6 t) z))) (/.f64 z t))
(fma.f64 z (*.f64 z (+.f64 (/.f64 -1/2 t) (/.f64 -1/6 (/.f64 t z)))) (/.f64 (neg.f64 z) t))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 z 2) t)) (+.f64 (*.f64 -1/6 (/.f64 (pow.f64 z 3) t)) (+.f64 (*.f64 -1/24 (/.f64 (pow.f64 z 4) t)) (*.f64 -1 (/.f64 z t)))))
(fma.f64 -1/2 (/.f64 (*.f64 z z) t) (fma.f64 -1/6 (/.f64 (pow.f64 z 3) t) (fma.f64 -1/24 (/.f64 (pow.f64 z 4) t) (neg.f64 (/.f64 z t)))))
(fma.f64 -1/2 (/.f64 (*.f64 z z) t) (-.f64 (fma.f64 -1/6 (/.f64 (pow.f64 z 3) t) (*.f64 -1/24 (/.f64 (pow.f64 z 4) t))) (/.f64 z t)))
(-.f64 (fma.f64 -1/2 (*.f64 (/.f64 z t) z) (fma.f64 -1/6 (/.f64 (pow.f64 z 3) t) (*.f64 -1/24 (/.f64 (pow.f64 z 4) t)))) (/.f64 z t))
(-.f64 (fma.f64 -1/24 (/.f64 (pow.f64 z 4) t) (*.f64 (*.f64 z z) (+.f64 (/.f64 -1/2 t) (*.f64 (/.f64 -1/6 t) z)))) (/.f64 z t))
(-.f64 (*.f64 (*.f64 z z) (+.f64 (/.f64 -1/2 t) (*.f64 z (+.f64 (/.f64 -1/6 t) (/.f64 -1/24 (/.f64 t z)))))) (/.f64 z t))
(/.f64 (*.f64 y (-.f64 1 (exp.f64 z))) t)
(/.f64 y (/.f64 t (-.f64 1 (exp.f64 z))))
(*.f64 y (/.f64 (-.f64 1 (exp.f64 z)) t))
(*.f64 (-.f64 1 (exp.f64 z)) (/.f64 y t))
(*.f64 (neg.f64 (expm1.f64 z)) (/.f64 y t))
(/.f64 (*.f64 y (-.f64 1 (exp.f64 z))) t)
(/.f64 y (/.f64 t (-.f64 1 (exp.f64 z))))
(*.f64 y (/.f64 (-.f64 1 (exp.f64 z)) t))
(*.f64 (-.f64 1 (exp.f64 z)) (/.f64 y t))
(*.f64 (neg.f64 (expm1.f64 z)) (/.f64 y t))
(/.f64 (*.f64 y (-.f64 1 (exp.f64 z))) t)
(/.f64 y (/.f64 t (-.f64 1 (exp.f64 z))))
(*.f64 y (/.f64 (-.f64 1 (exp.f64 z)) t))
(*.f64 (-.f64 1 (exp.f64 z)) (/.f64 y t))
(*.f64 (neg.f64 (expm1.f64 z)) (/.f64 y t))
(/.f64 (*.f64 y (-.f64 1 (exp.f64 z))) t)
(/.f64 y (/.f64 t (-.f64 1 (exp.f64 z))))
(*.f64 y (/.f64 (-.f64 1 (exp.f64 z)) t))
(*.f64 (-.f64 1 (exp.f64 z)) (/.f64 y t))
(*.f64 (neg.f64 (expm1.f64 z)) (/.f64 y t))
(/.f64 (*.f64 y (-.f64 1 (exp.f64 z))) t)
(/.f64 y (/.f64 t (-.f64 1 (exp.f64 z))))
(*.f64 y (/.f64 (-.f64 1 (exp.f64 z)) t))
(*.f64 (-.f64 1 (exp.f64 z)) (/.f64 y t))
(*.f64 (neg.f64 (expm1.f64 z)) (/.f64 y t))
(/.f64 (*.f64 y (-.f64 1 (exp.f64 z))) t)
(/.f64 y (/.f64 t (-.f64 1 (exp.f64 z))))
(*.f64 y (/.f64 (-.f64 1 (exp.f64 z)) t))
(*.f64 (-.f64 1 (exp.f64 z)) (/.f64 y t))
(*.f64 (neg.f64 (expm1.f64 z)) (/.f64 y t))
(/.f64 (*.f64 y (-.f64 1 (exp.f64 z))) t)
(/.f64 y (/.f64 t (-.f64 1 (exp.f64 z))))
(*.f64 y (/.f64 (-.f64 1 (exp.f64 z)) t))
(*.f64 (-.f64 1 (exp.f64 z)) (/.f64 y t))
(*.f64 (neg.f64 (expm1.f64 z)) (/.f64 y t))
(/.f64 (*.f64 y (-.f64 1 (exp.f64 z))) t)
(/.f64 y (/.f64 t (-.f64 1 (exp.f64 z))))
(*.f64 y (/.f64 (-.f64 1 (exp.f64 z)) t))
(*.f64 (-.f64 1 (exp.f64 z)) (/.f64 y t))
(*.f64 (neg.f64 (expm1.f64 z)) (/.f64 y t))
(/.f64 (*.f64 y (+.f64 1 (*.f64 -1 (exp.f64 z)))) t)
(/.f64 y (/.f64 t (-.f64 1 (exp.f64 z))))
(*.f64 y (/.f64 (-.f64 1 (exp.f64 z)) t))
(*.f64 (-.f64 1 (exp.f64 z)) (/.f64 y t))
(*.f64 (neg.f64 (expm1.f64 z)) (/.f64 y t))
(/.f64 (*.f64 y (+.f64 1 (*.f64 -1 (exp.f64 z)))) t)
(/.f64 y (/.f64 t (-.f64 1 (exp.f64 z))))
(*.f64 y (/.f64 (-.f64 1 (exp.f64 z)) t))
(*.f64 (-.f64 1 (exp.f64 z)) (/.f64 y t))
(*.f64 (neg.f64 (expm1.f64 z)) (/.f64 y t))
(/.f64 (*.f64 y (+.f64 1 (*.f64 -1 (exp.f64 z)))) t)
(/.f64 y (/.f64 t (-.f64 1 (exp.f64 z))))
(*.f64 y (/.f64 (-.f64 1 (exp.f64 z)) t))
(*.f64 (-.f64 1 (exp.f64 z)) (/.f64 y t))
(*.f64 (neg.f64 (expm1.f64 z)) (/.f64 y t))
(/.f64 (*.f64 y (+.f64 1 (*.f64 -1 (exp.f64 z)))) t)
(/.f64 y (/.f64 t (-.f64 1 (exp.f64 z))))
(*.f64 y (/.f64 (-.f64 1 (exp.f64 z)) t))
(*.f64 (-.f64 1 (exp.f64 z)) (/.f64 y t))
(*.f64 (neg.f64 (expm1.f64 z)) (/.f64 y t))
(*.f64 -1 (/.f64 (*.f64 y z) t))
(neg.f64 (/.f64 y (/.f64 t z)))
(/.f64 (*.f64 (neg.f64 z) y) t)
(*.f64 (/.f64 y t) (neg.f64 z))
(*.f64 (/.f64 (neg.f64 z) t) y)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) (*.f64 -1/2 (/.f64 (*.f64 y (pow.f64 z 2)) t)))
(fma.f64 -1 (/.f64 y (/.f64 t z)) (*.f64 -1/2 (/.f64 y (/.f64 t (*.f64 z z)))))
(fma.f64 -1/2 (*.f64 (/.f64 y t) (*.f64 z z)) (/.f64 (*.f64 (neg.f64 z) y) t))
(-.f64 (*.f64 -1/2 (/.f64 y (/.f64 (/.f64 t z) z))) (*.f64 (/.f64 z t) y))
(*.f64 (/.f64 y t) (-.f64 (*.f64 z (*.f64 z -1/2)) z))
(*.f64 (/.f64 y t) (-.f64 (*.f64 -1/2 (*.f64 z z)) z))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 y (pow.f64 z 2)) t)) (*.f64 -1/6 (/.f64 (*.f64 y (pow.f64 z 3)) t))))
(fma.f64 -1 (/.f64 y (/.f64 t z)) (fma.f64 -1/2 (/.f64 y (/.f64 t (*.f64 z z))) (*.f64 -1/6 (/.f64 y (/.f64 t (pow.f64 z 3))))))
(-.f64 (fma.f64 -1/2 (*.f64 (/.f64 y t) (*.f64 z z)) (/.f64 (*.f64 (*.f64 -1/6 y) (pow.f64 z 3)) t)) (*.f64 (/.f64 y t) z))
(-.f64 (fma.f64 -1/2 (/.f64 y (/.f64 (/.f64 t z) z)) (*.f64 -1/6 (*.f64 (pow.f64 z 3) (/.f64 y t)))) (*.f64 (/.f64 z t) y))
(fma.f64 (/.f64 y t) (*.f64 -1/6 (pow.f64 z 3)) (*.f64 (/.f64 y t) (-.f64 (*.f64 z (*.f64 z -1/2)) z)))
(*.f64 (/.f64 y t) (-.f64 (*.f64 (*.f64 z z) (+.f64 -1/2 (*.f64 z -1/6))) z))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 y (pow.f64 z 2)) t)) (+.f64 (*.f64 -1/24 (/.f64 (*.f64 y (pow.f64 z 4)) t)) (*.f64 -1/6 (/.f64 (*.f64 y (pow.f64 z 3)) t)))))
(fma.f64 -1 (/.f64 y (/.f64 t z)) (fma.f64 -1/2 (/.f64 y (/.f64 t (*.f64 z z))) (fma.f64 -1/24 (/.f64 y (/.f64 t (pow.f64 z 4))) (*.f64 -1/6 (/.f64 y (/.f64 t (pow.f64 z 3)))))))
(-.f64 (fma.f64 -1/2 (*.f64 (/.f64 y t) (*.f64 z z)) (fma.f64 -1/6 (*.f64 (/.f64 y t) (pow.f64 z 3)) (/.f64 -1/24 (/.f64 t (*.f64 (pow.f64 z 4) y))))) (*.f64 (/.f64 y t) z))
(-.f64 (fma.f64 -1/2 (/.f64 y (/.f64 (/.f64 t z) z)) (fma.f64 -1/6 (*.f64 (pow.f64 z 3) (/.f64 y t)) (*.f64 -1/24 (*.f64 (pow.f64 z 4) (/.f64 y t))))) (*.f64 (/.f64 z t) y))
(+.f64 (*.f64 (/.f64 y t) (-.f64 (*.f64 z (*.f64 z -1/2)) z)) (*.f64 (/.f64 y t) (+.f64 (*.f64 -1/6 (pow.f64 z 3)) (*.f64 -1/24 (pow.f64 z 4)))))
(*.f64 (/.f64 y t) (-.f64 (*.f64 (*.f64 z z) (+.f64 -1/2 (*.f64 z -1/6))) (+.f64 z (*.f64 1/24 (pow.f64 z 4)))))
(/.f64 1 t)
(+.f64 (/.f64 z t) (/.f64 1 t))
(+.f64 (/.f64 z t) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 z 2) t)) (/.f64 1 t)))
(+.f64 (/.f64 z t) (fma.f64 1/2 (/.f64 (*.f64 z z) t) (/.f64 1 t)))
(+.f64 (/.f64 z t) (fma.f64 (/.f64 (*.f64 z z) t) 1/2 (/.f64 1 t)))
(+.f64 (/.f64 z t) (fma.f64 (*.f64 (/.f64 z t) z) 1/2 (/.f64 1 t)))
(+.f64 (/.f64 z t) (fma.f64 (*.f64 z (/.f64 z t)) 1/2 (/.f64 1 t)))
(+.f64 (/.f64 z t) (fma.f64 (/.f64 z (/.f64 t z)) 1/2 (/.f64 1 t)))
(+.f64 (/.f64 z t) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 z 2) t)) (+.f64 (/.f64 1 t) (*.f64 1/6 (/.f64 (pow.f64 z 3) t)))))
(+.f64 (/.f64 z t) (+.f64 (fma.f64 1/2 (/.f64 (*.f64 z z) t) (/.f64 1 t)) (*.f64 (/.f64 (pow.f64 z 3) t) 1/6)))
(+.f64 (/.f64 z t) (fma.f64 (/.f64 (*.f64 z z) t) 1/2 (fma.f64 (/.f64 (pow.f64 z 3) t) 1/6 (/.f64 1 t))))
(+.f64 (/.f64 z t) (fma.f64 (*.f64 (/.f64 z t) z) 1/2 (fma.f64 (/.f64 (pow.f64 z 3) t) 1/6 (/.f64 1 t))))
(+.f64 (/.f64 z t) (fma.f64 (/.f64 1/6 t) (pow.f64 z 3) (fma.f64 (*.f64 z (/.f64 z t)) 1/2 (/.f64 1 t))))
(+.f64 (/.f64 z t) (fma.f64 (/.f64 z (/.f64 t z)) 1/2 (fma.f64 (/.f64 (pow.f64 z 3) t) 1/6 (/.f64 1 t))))
x
(*.f64 y (-.f64 (/.f64 1 t) (/.f64 (exp.f64 z) t)))
(/.f64 y (/.f64 t (-.f64 1 (exp.f64 z))))
(*.f64 y (/.f64 (-.f64 1 (exp.f64 z)) t))
(*.f64 (-.f64 1 (exp.f64 z)) (/.f64 y t))
(*.f64 (neg.f64 (expm1.f64 z)) (/.f64 y t))
(*.f64 y (-.f64 (/.f64 1 t) (/.f64 (exp.f64 z) t)))
(/.f64 y (/.f64 t (-.f64 1 (exp.f64 z))))
(*.f64 y (/.f64 (-.f64 1 (exp.f64 z)) t))
(*.f64 (-.f64 1 (exp.f64 z)) (/.f64 y t))
(*.f64 (neg.f64 (expm1.f64 z)) (/.f64 y t))
(/.f64 (*.f64 y (-.f64 1 (exp.f64 z))) t)
(/.f64 y (/.f64 t (-.f64 1 (exp.f64 z))))
(*.f64 y (/.f64 (-.f64 1 (exp.f64 z)) t))
(*.f64 (-.f64 1 (exp.f64 z)) (/.f64 y t))
(*.f64 (neg.f64 (expm1.f64 z)) (/.f64 y t))
(+.f64 (/.f64 (*.f64 y (-.f64 1 (exp.f64 z))) t) x)
(+.f64 (/.f64 y (/.f64 t (-.f64 1 (exp.f64 z)))) x)
(+.f64 (*.f64 y (/.f64 (-.f64 1 (exp.f64 z)) t)) x)
(fma.f64 (/.f64 y t) (-.f64 1 (exp.f64 z)) x)
(fma.f64 (neg.f64 (expm1.f64 z)) (/.f64 y t) x)
(+.f64 (/.f64 (*.f64 y (-.f64 1 (exp.f64 z))) t) x)
(+.f64 (/.f64 y (/.f64 t (-.f64 1 (exp.f64 z)))) x)
(+.f64 (*.f64 y (/.f64 (-.f64 1 (exp.f64 z)) t)) x)
(fma.f64 (/.f64 y t) (-.f64 1 (exp.f64 z)) x)
(fma.f64 (neg.f64 (expm1.f64 z)) (/.f64 y t) x)
(+.f64 (/.f64 (*.f64 y (-.f64 1 (exp.f64 z))) t) x)
(+.f64 (/.f64 y (/.f64 t (-.f64 1 (exp.f64 z)))) x)
(+.f64 (*.f64 y (/.f64 (-.f64 1 (exp.f64 z)) t)) x)
(fma.f64 (/.f64 y t) (-.f64 1 (exp.f64 z)) x)
(fma.f64 (neg.f64 (expm1.f64 z)) (/.f64 y t) x)
x
(+.f64 (/.f64 (*.f64 y (-.f64 1 (exp.f64 z))) t) x)
(+.f64 (/.f64 y (/.f64 t (-.f64 1 (exp.f64 z)))) x)
(+.f64 (*.f64 y (/.f64 (-.f64 1 (exp.f64 z)) t)) x)
(fma.f64 (/.f64 y t) (-.f64 1 (exp.f64 z)) x)
(fma.f64 (neg.f64 (expm1.f64 z)) (/.f64 y t) x)
(+.f64 (/.f64 (*.f64 y (-.f64 1 (exp.f64 z))) t) x)
(+.f64 (/.f64 y (/.f64 t (-.f64 1 (exp.f64 z)))) x)
(+.f64 (*.f64 y (/.f64 (-.f64 1 (exp.f64 z)) t)) x)
(fma.f64 (/.f64 y t) (-.f64 1 (exp.f64 z)) x)
(fma.f64 (neg.f64 (expm1.f64 z)) (/.f64 y t) x)
(+.f64 (/.f64 (*.f64 y (-.f64 1 (exp.f64 z))) t) x)
(+.f64 (/.f64 y (/.f64 t (-.f64 1 (exp.f64 z)))) x)
(+.f64 (*.f64 y (/.f64 (-.f64 1 (exp.f64 z)) t)) x)
(fma.f64 (/.f64 y t) (-.f64 1 (exp.f64 z)) x)
(fma.f64 (neg.f64 (expm1.f64 z)) (/.f64 y t) x)
x
(+.f64 (/.f64 (*.f64 y (+.f64 1 (*.f64 -1 (exp.f64 z)))) t) x)
(+.f64 (/.f64 y (/.f64 t (-.f64 1 (exp.f64 z)))) x)
(+.f64 (*.f64 y (/.f64 (-.f64 1 (exp.f64 z)) t)) x)
(fma.f64 (/.f64 y t) (-.f64 1 (exp.f64 z)) x)
(fma.f64 (neg.f64 (expm1.f64 z)) (/.f64 y t) x)
(+.f64 (/.f64 (*.f64 y (+.f64 1 (*.f64 -1 (exp.f64 z)))) t) x)
(+.f64 (/.f64 y (/.f64 t (-.f64 1 (exp.f64 z)))) x)
(+.f64 (*.f64 y (/.f64 (-.f64 1 (exp.f64 z)) t)) x)
(fma.f64 (/.f64 y t) (-.f64 1 (exp.f64 z)) x)
(fma.f64 (neg.f64 (expm1.f64 z)) (/.f64 y t) x)
(+.f64 (/.f64 (*.f64 y (+.f64 1 (*.f64 -1 (exp.f64 z)))) t) x)
(+.f64 (/.f64 y (/.f64 t (-.f64 1 (exp.f64 z)))) x)
(+.f64 (*.f64 y (/.f64 (-.f64 1 (exp.f64 z)) t)) x)
(fma.f64 (/.f64 y t) (-.f64 1 (exp.f64 z)) x)
(fma.f64 (neg.f64 (expm1.f64 z)) (/.f64 y t) x)
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))
(fma.f64 (/.f64 y t) (neg.f64 z) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 y (pow.f64 z 2)) t)) x))
(fma.f64 -1 (/.f64 y (/.f64 t z)) (fma.f64 -1/2 (/.f64 y (/.f64 t (*.f64 z z))) x))
(-.f64 (fma.f64 -1/2 (*.f64 (/.f64 y t) (*.f64 z z)) x) (*.f64 (/.f64 y t) z))
(-.f64 (fma.f64 -1/2 (/.f64 y (/.f64 (/.f64 t z) z)) x) (*.f64 (/.f64 z t) y))
(+.f64 (*.f64 (/.f64 y t) (-.f64 (*.f64 z (*.f64 z -1/2)) z)) x)
(+.f64 (*.f64 (/.f64 y t) (-.f64 (*.f64 -1/2 (*.f64 z z)) z)) 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)))
(fma.f64 -1 (/.f64 y (/.f64 t z)) (fma.f64 -1/2 (/.f64 y (/.f64 t (*.f64 z z))) (fma.f64 -1/6 (/.f64 y (/.f64 t (pow.f64 z 3))) x)))
(-.f64 (fma.f64 -1/2 (*.f64 (/.f64 y t) (*.f64 z z)) (fma.f64 -1/6 (*.f64 (/.f64 y t) (pow.f64 z 3)) x)) (*.f64 (/.f64 y t) z))
(-.f64 (fma.f64 -1/2 (/.f64 y (/.f64 (/.f64 t z) z)) (fma.f64 -1/6 (*.f64 (pow.f64 z 3) (/.f64 y t)) x)) (*.f64 (/.f64 z t) y))
(+.f64 (*.f64 (/.f64 y t) (-.f64 (*.f64 z (*.f64 z -1/2)) z)) (fma.f64 (/.f64 -1/6 t) (*.f64 (pow.f64 z 3) y) x))
(+.f64 (*.f64 (/.f64 y t) (-.f64 (*.f64 (*.f64 z z) (+.f64 -1/2 (*.f64 z -1/6))) z)) x)
(*.f64 y (-.f64 (/.f64 1 t) (/.f64 (exp.f64 z) t)))
(/.f64 y (/.f64 t (-.f64 1 (exp.f64 z))))
(*.f64 y (/.f64 (-.f64 1 (exp.f64 z)) t))
(*.f64 (-.f64 1 (exp.f64 z)) (/.f64 y t))
(*.f64 (neg.f64 (expm1.f64 z)) (/.f64 y t))
x
x

localize18.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(log1p.f64 (*.f64 y (expm1.f64 z)))
✓0.0b
(-.f64 x (*.f64 (/.f64 1 t) (log1p.f64 (*.f64 y (expm1.f64 z)))))
0.0b
(*.f64 y (expm1.f64 z))
✓4.4b
(*.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
z
@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)))))

rewrite121.0ms (0.5%)

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

Useful iterations: 0 (0.0ms)

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

simplify111.0ms (0.4%)

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

Useful iterations: 2 (0.0ms)

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

eval938.0ms (3.8%)

Compiler

Compiled 44896 to 17804 computations (60.3% saved)

prune418.0ms (1.7%)

Pruning

19 alts after pruning (16 fresh and 3 done)

PrunedKeptTotal
New1477131490
Fresh538
Picked011
Done325
Total1485191504
Error
0b
Counts
1504 → 19
Alt Table
Click to see full alt table
StatusErrorProgram
11.6b
(-.f64 x (pow.f64 (/.f64 t (log1p.f64 (*.f64 z y))) -1))
9.0b
(-.f64 x (*.f64 (/.f64 (expm1.f64 z) t) y))
▶11.6b
(-.f64 x (/.f64 (log1p.f64 (*.f64 z y)) t))
23.9b
(-.f64 x (*.f64 (/.f64 y t) (-.f64 z (*.f64 (*.f64 z z) (+.f64 -1/2 (*.f64 z -1/6))))))
9.1b
(-.f64 x (/.f64 y (/.f64 t (expm1.f64 z))))
▶21.9b
(-.f64 x (*.f64 (/.f64 y t) (-.f64 z (*.f64 z (*.f64 z -1/2)))))
✓15.8b
(-.f64 x (/.f64 z (/.f64 t y)))
17.4b
x
✓1.1b
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))
1.3b
(-.f64 x (/.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (pow.f64 (cbrt.f64 t) 2)) (cbrt.f64 t)))
14.8b
(-.f64 x (/.f64 (*.f64 y z) t))
16.5b
(fma.f64 (/.f64 (-.f64 1 (exp.f64 z)) t) y x)
▶1.3b
(-.f64 x (pow.f64 (*.f64 (/.f64 1 (log1p.f64 (*.f64 y (expm1.f64 z)))) t) -1))
21.5b
(+.f64 (*.f64 y (-.f64 (*.f64 (*.f64 z z) (+.f64 (/.f64 -1/2 t) (*.f64 z (+.f64 (/.f64 -1/6 t) (/.f64 -1/24 (/.f64 t z)))))) (/.f64 z t))) x)
▶53.3b
(*.f64 (expm1.f64 z) (/.f64 (neg.f64 y) t))
14.8b
(-.f64 x (*.f64 (/.f64 1 t) (/.f64 z (/.f64 1 y))))
✓1.1b
(-.f64 x (*.f64 (/.f64 1 t) (log1p.f64 (*.f64 y (expm1.f64 z)))))
46.6b
(/.f64 (neg.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) t)
▶53.8b
(*.f64 y (/.f64 (neg.f64 z) t))
Compiler

Compiled 498 to 343 computations (31.1% saved)

localize23.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(*.f64 y (expm1.f64 z))
✓0.2b
(/.f64 1 (log1p.f64 (*.f64 y (expm1.f64 z))))
✓1.0b
(pow.f64 (*.f64 (/.f64 1 (log1p.f64 (*.f64 y (expm1.f64 z)))) t) -1)
✓4.9b
(*.f64 (/.f64 1 (log1p.f64 (*.f64 y (expm1.f64 z)))) t)
Compiler

Compiled 61 to 25 computations (59% saved)

series19.0ms (0.1%)

Counts
3 → 96
Calls

24 calls:

TimeVariablePointExpression
5.0ms
y
@inf
(/.f64 1 (log1p.f64 (*.f64 y (expm1.f64 z))))
2.0ms
y
@-inf
(/.f64 1 (log1p.f64 (*.f64 y (expm1.f64 z))))
1.0ms
z
@0
(/.f64 1 (log1p.f64 (*.f64 y (expm1.f64 z))))
1.0ms
y
@-inf
(pow.f64 (*.f64 (/.f64 1 (log1p.f64 (*.f64 y (expm1.f64 z)))) t) -1)
1.0ms
y
@inf
(pow.f64 (*.f64 (/.f64 1 (log1p.f64 (*.f64 y (expm1.f64 z)))) t) -1)

rewrite85.0ms (0.3%)

Algorithm
1×batch-egg-rewrite
Rules
537×log-prod_binary64
409×exp-prod_binary64
322×pow-prod-down_binary64
286×pow2_binary64
206×pow-to-exp_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01236
123733
2272333
Stop Event
1×node limit
Counts
3 → 116
Calls
Call 1
Inputs
(*.f64 (/.f64 1 (log1p.f64 (*.f64 y (expm1.f64 z)))) t)
(pow.f64 (*.f64 (/.f64 1 (log1p.f64 (*.f64 y (expm1.f64 z)))) t) -1)
(/.f64 1 (log1p.f64 (*.f64 y (expm1.f64 z))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z))))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z))))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))))) 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 t (log1p.f64 (*.f64 y (expm1.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (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 (sqrt.f64 t) (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (sqrt.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 t) (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 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 /.f64 (/.f64 t 1) (log1p.f64 (*.f64 y (expm1.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 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 -1 t) (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 t -1) (neg.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 (E.f64) (log.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z))))))))) (#(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 (pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) 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 (cbrt.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 t 3) (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))))) 2)) (cbrt.f64 (log.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z))))))) (sqrt.f64 (log.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))))))))) (#(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 t (log1p.f64 (*.f64 y (expm1.f64 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 t 3) (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z))))) 1) 1))))))
((#(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 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 (/.f64 1 t) (log1p.f64 (*.f64 y (expm1.f64 z))))))) (#(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 (pow.f64 (cbrt.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z))))) -2) (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (neg.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 t) (/.f64 1 (log1p.f64 (*.f64 y (expm1.f64 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) (sqrt.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z))))) -2) (cbrt.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (fma.f64 y (expm1.f64 z) 1) (/.f64 1 t)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.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 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)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))))) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z))))) 1) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z))))) -1/2) 2))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 1 (log1p.f64 (*.f64 y (expm1.f64 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 1 (log1p.f64 (*.f64 y (expm1.f64 z)))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (log1p.f64 (*.f64 y (expm1.f64 z))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (log1p.f64 (*.f64 y (expm1.f64 z))))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (log1p.f64 (*.f64 y (expm1.f64 z))))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (log1p.f64 (*.f64 y (expm1.f64 z)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (log1p.f64 (*.f64 y (expm1.f64 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (log1p.f64 (*.f64 y (expm1.f64 z)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) (cbrt.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) -2)) (/.f64 1 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) -1/2) (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) -2) (/.f64 1 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (log1p.f64 (*.f64 y (expm1.f64 z)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 -1) (log.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (neg.f64 (log.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) -2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) -3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 2) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 3) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) -3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (neg.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (neg.f64 (log.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))))) 2)) (cbrt.f64 (neg.f64 (log.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (neg.f64 (log.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))))) (sqrt.f64 (neg.f64 (log.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (log1p.f64 (*.f64 y (expm1.f64 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (log1p.f64 (*.f64 y (expm1.f64 z)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) -3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (log1p.f64 (*.f64 y (expm1.f64 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (log1p.f64 (*.f64 y (expm1.f64 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) -3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 -1/2 (log.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (neg.f64 (log.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) -1) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 1) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (neg.f64 (log.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) 1) 1))))))

simplify130.0ms (0.5%)

Algorithm
1×egg-herbie
Rules
484×associate-*r*_binary64
417×associate-/r*_binary64
412×fma-def_binary64
402×associate-*l*_binary64
375×distribute-rgt-in_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
04765775
117175336
Stop Event
1×node limit
Counts
212 → 218
Calls
Call 1
Inputs
(/.f64 t (*.f64 (-.f64 (exp.f64 z) 1) y))
(+.f64 (/.f64 t (*.f64 (-.f64 (exp.f64 z) 1) y)) (*.f64 1/2 t))
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(/.f64 t (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))))
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(/.f64 t (*.f64 y z))
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(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
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(/.f64 1 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))))
Outputs
(/.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 t (*.f64 (*.f64 (expm1.f64 z) y) (pow.f64 (+.f64 (log.f64 (expm1.f64 z)) (neg.f64 (neg.f64 (log.f64 y)))) 2)))))
(-.f64 (/.f64 t (+.f64 (log.f64 (expm1.f64 z)) (log.f64 y))) (/.f64 (/.f64 t (*.f64 (expm1.f64 z) y)) (pow.f64 (+.f64 (log.f64 (expm1.f64 z)) (log.f64 y)) 2)))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/2 (/.f64 t (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (pow.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) 2)))) (*.f64 -1 (/.f64 t (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (pow.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) 3))))) (pow.f64 y 2))) (+.f64 (/.f64 t (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y))))) (*.f64 -1 (/.f64 t (*.f64 (pow.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) 2) (*.f64 (-.f64 (exp.f64 z) 1) y))))))
(fma.f64 -1 (/.f64 (fma.f64 -1/2 (/.f64 (/.f64 t (pow.f64 (expm1.f64 z) 2)) (pow.f64 (+.f64 (log.f64 (expm1.f64 z)) (neg.f64 (neg.f64 (log.f64 y)))) 2)) (neg.f64 (/.f64 t (*.f64 (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 t (*.f64 (*.f64 (expm1.f64 z) y) (pow.f64 (+.f64 (log.f64 (expm1.f64 z)) (neg.f64 (neg.f64 (log.f64 y)))) 2))))))
(-.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 (*.f64 t -1/2) (pow.f64 (expm1.f64 z) 2)) (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 t (*.f64 (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 t (*.f64 (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 1/3 (/.f64 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 t (*.f64 (*.f64 (expm1.f64 z) y) (pow.f64 (+.f64 (log.f64 (expm1.f64 z)) (neg.f64 (neg.f64 (log.f64 y)))) 2)))))))
(-.f64 (-.f64 (-.f64 (/.f64 t (+.f64 (log.f64 (expm1.f64 z)) (log.f64 y))) (/.f64 (/.f64 t (*.f64 (expm1.f64 z) y)) (pow.f64 (+.f64 (log.f64 (expm1.f64 z)) (log.f64 y)) 2))) (/.f64 (fma.f64 1/2 (/.f64 (/.f64 t (pow.f64 (expm1.f64 z) 3)) (pow.f64 (+.f64 (log.f64 (expm1.f64 z)) (log.f64 y)) 3)) (-.f64 (*.f64 1/3 (/.f64 (/.f64 t (pow.f64 (expm1.f64 z) 3)) (pow.f64 (+.f64 (log.f64 (expm1.f64 z)) (log.f64 y)) 2))) (/.f64 (-.f64 (/.f64 (/.f64 (*.f64 t -1/2) (pow.f64 (expm1.f64 z) 2)) (pow.f64 (+.f64 (log.f64 (expm1.f64 z)) (log.f64 y)) 2)) (/.f64 (/.f64 t (pow.f64 (expm1.f64 z) 2)) (pow.f64 (+.f64 (log.f64 (expm1.f64 z)) (log.f64 y)) 3))) (*.f64 (expm1.f64 z) (+.f64 (log.f64 (expm1.f64 z)) (log.f64 y)))))) (pow.f64 y 3))) (/.f64 (-.f64 (/.f64 (/.f64 (*.f64 t -1/2) (pow.f64 (expm1.f64 z) 2)) (pow.f64 (+.f64 (log.f64 (expm1.f64 z)) (log.f64 y)) 2)) (/.f64 (/.f64 t (pow.f64 (expm1.f64 z) 2)) (pow.f64 (+.f64 (log.f64 (expm1.f64 z)) (log.f64 y)) 3))) (*.f64 y y)))
(/.f64 t (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1)))))
(/.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)))
(+.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 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 t (*.f64 (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)))))
(-.f64 (-.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))) (/.f64 (-.f64 (/.f64 (/.f64 (*.f64 t -1/2) (pow.f64 (expm1.f64 z) 2)) (pow.f64 (-.f64 (log.f64 (neg.f64 (expm1.f64 z))) (log.f64 (/.f64 -1 y))) 2)) (/.f64 (/.f64 t (pow.f64 (-.f64 (log.f64 (neg.f64 (expm1.f64 z))) (log.f64 (/.f64 -1 y))) 3)) (pow.f64 (expm1.f64 z) 2))) (*.f64 y y)))
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(/.f64 t (*.f64 y z))
(/.f64 t (*.f64 z y))
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(fma.f64 -1/2 (/.f64 t (/.f64 (*.f64 y y) (fma.f64 -1 (*.f64 y y) y))) (/.f64 t (*.f64 z y)))
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(-.f64 (/.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1))))) (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) (*.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1)))) 2) y))))
(-.f64 (/.f64 1 (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 (neg.f64 (expm1.f64 z))))) (/.f64 1 (*.f64 (expm1.f64 z) (*.f64 y (pow.f64 (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 (neg.f64 (expm1.f64 z)))) 2)))))
(+.f64 (/.f64 1 (-.f64 (log.f64 (neg.f64 (expm1.f64 z))) (log.f64 (/.f64 -1 y)))) (/.f64 -1 (*.f64 (expm1.f64 z) (*.f64 y (pow.f64 (-.f64 (log.f64 (neg.f64 (expm1.f64 z))) (log.f64 (/.f64 -1 y))) 2)))))
(-.f64 (+.f64 (/.f64 1 (*.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) 2) (pow.f64 y 2)))) (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (*.f64 (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 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1))))))) (/.f64 1 (*.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 (/.f64 (/.f64 1 (pow.f64 (expm1.f64 z) 2)) (*.f64 (*.f64 y y) (pow.f64 (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 (neg.f64 (expm1.f64 z)))) 3))) (+.f64 (/.f64 1 (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 (neg.f64 (expm1.f64 z))))) (/.f64 1/2 (*.f64 (pow.f64 (expm1.f64 z) 2) (*.f64 (*.f64 y y) (pow.f64 (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 (neg.f64 (expm1.f64 z)))) 2)))))) (/.f64 1 (*.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 (/.f64 1 (pow.f64 (expm1.f64 z) 2)) (*.f64 y (*.f64 y (pow.f64 (-.f64 (log.f64 (neg.f64 (expm1.f64 z))) (log.f64 (/.f64 -1 y))) 3)))) (+.f64 (/.f64 1 (-.f64 (log.f64 (neg.f64 (expm1.f64 z))) (log.f64 (/.f64 -1 y)))) (-.f64 (/.f64 (/.f64 (/.f64 1/2 (pow.f64 (expm1.f64 z) 2)) (pow.f64 (-.f64 (log.f64 (neg.f64 (expm1.f64 z))) (log.f64 (/.f64 -1 y))) 2)) (*.f64 y y)) (/.f64 (/.f64 1 (*.f64 (expm1.f64 z) y)) (pow.f64 (-.f64 (log.f64 (neg.f64 (expm1.f64 z))) (log.f64 (/.f64 -1 y))) 2)))))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (*.f64 (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 (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 3) (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1)))) 2)))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 3) (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1)))) 3))))) (*.f64 -1 (/.f64 (+.f64 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1)))) 3))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1)))) 2))))) (*.f64 (-.f64 (exp.f64 z) 1) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1)))))))) (pow.f64 y 3))) (+.f64 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (*.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1)))) 3) (pow.f64 y 2)))) (/.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1)))))))) (/.f64 1 (*.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 (/.f64 1/2 (*.f64 (pow.f64 (expm1.f64 z) 2) (*.f64 (*.f64 y y) (pow.f64 (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 (neg.f64 (expm1.f64 z)))) 2)))) (fma.f64 -1 (/.f64 (-.f64 (+.f64 (/.f64 1/3 (*.f64 (pow.f64 (expm1.f64 z) 3) (pow.f64 (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 (neg.f64 (expm1.f64 z)))) 2))) (/.f64 1/2 (*.f64 (pow.f64 (expm1.f64 z) 3) (pow.f64 (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 (neg.f64 (expm1.f64 z)))) 3)))) (neg.f64 (/.f64 (+.f64 (/.f64 (/.f64 1 (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 (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 (expm1.f64 z) (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 (neg.f64 (expm1.f64 z)))))))) (pow.f64 y 3)) (+.f64 (/.f64 1 (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 (neg.f64 (expm1.f64 z))))) (/.f64 (/.f64 1 (pow.f64 (expm1.f64 z) 2)) (*.f64 (*.f64 y y) (pow.f64 (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 (neg.f64 (expm1.f64 z)))) 3)))))) (/.f64 1 (*.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 (+.f64 (/.f64 1 (-.f64 (log.f64 (neg.f64 (expm1.f64 z))) (log.f64 (/.f64 -1 y)))) (/.f64 (/.f64 1 (pow.f64 (expm1.f64 z) 2)) (*.f64 y (*.f64 y (pow.f64 (-.f64 (log.f64 (neg.f64 (expm1.f64 z))) (log.f64 (/.f64 -1 y))) 3))))) (/.f64 (+.f64 (/.f64 (/.f64 1/2 (pow.f64 (expm1.f64 z) 3)) (pow.f64 (-.f64 (log.f64 (neg.f64 (expm1.f64 z))) (log.f64 (/.f64 -1 y))) 3)) (+.f64 (/.f64 (/.f64 1/3 (pow.f64 (expm1.f64 z) 3)) (pow.f64 (-.f64 (log.f64 (neg.f64 (expm1.f64 z))) (log.f64 (/.f64 -1 y))) 2)) (/.f64 (+.f64 (/.f64 (/.f64 1 (pow.f64 (expm1.f64 z) 2)) (pow.f64 (-.f64 (log.f64 (neg.f64 (expm1.f64 z))) (log.f64 (/.f64 -1 y))) 3)) (/.f64 (/.f64 1/2 (pow.f64 (expm1.f64 z) 2)) (pow.f64 (-.f64 (log.f64 (neg.f64 (expm1.f64 z))) (log.f64 (/.f64 -1 y))) 2))) (*.f64 (expm1.f64 z) (-.f64 (log.f64 (neg.f64 (expm1.f64 z))) (log.f64 (/.f64 -1 y))))))) (pow.f64 y 3))) (-.f64 (/.f64 (/.f64 (/.f64 1/2 (pow.f64 (expm1.f64 z) 2)) (pow.f64 (-.f64 (log.f64 (neg.f64 (expm1.f64 z))) (log.f64 (/.f64 -1 y))) 2)) (*.f64 y y)) (/.f64 (/.f64 1 (*.f64 (expm1.f64 z) y)) (pow.f64 (-.f64 (log.f64 (neg.f64 (expm1.f64 z))) (log.f64 (/.f64 -1 y))) 2))))
(/.f64 1 (*.f64 y z))
(/.f64 1 (*.f64 z y))
(+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 -1 (pow.f64 y 2)) y) (pow.f64 y 2))) (/.f64 1 (*.f64 y z)))
(fma.f64 -1/2 (/.f64 (fma.f64 -1 (*.f64 y y) y) (*.f64 y y)) (/.f64 1 (*.f64 z y)))
(fma.f64 -1/2 (/.f64 (-.f64 y (*.f64 y y)) (*.f64 y y)) (/.f64 1 (*.f64 z y)))
(+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 -1 (pow.f64 y 2)) y) (pow.f64 y 2))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 1/6 (/.f64 (+.f64 y (+.f64 (*.f64 -3 (pow.f64 y 2)) (*.f64 2 (pow.f64 y 3)))) (pow.f64 y 2))) (*.f64 -1/4 (/.f64 (pow.f64 (+.f64 (*.f64 -1 (pow.f64 y 2)) y) 2) (pow.f64 y 3)))) z)) (/.f64 1 (*.f64 y z))))
(fma.f64 -1/2 (/.f64 (fma.f64 -1 (*.f64 y y) y) (*.f64 y y)) (fma.f64 -1 (*.f64 z (fma.f64 1/6 (/.f64 (+.f64 y (fma.f64 -3 (*.f64 y y) (*.f64 2 (pow.f64 y 3)))) (*.f64 y y)) (*.f64 -1/4 (/.f64 (pow.f64 (fma.f64 -1 (*.f64 y y) y) 2) (pow.f64 y 3))))) (/.f64 1 (*.f64 z y))))
(fma.f64 -1/2 (/.f64 (-.f64 y (*.f64 y y)) (*.f64 y y)) (-.f64 (/.f64 1 (*.f64 z y)) (*.f64 z (fma.f64 1/6 (/.f64 (fma.f64 (*.f64 y y) -3 (fma.f64 2 (pow.f64 y 3) y)) (*.f64 y y)) (*.f64 -1/4 (/.f64 (pow.f64 (-.f64 y (*.f64 y y)) 2) (pow.f64 y 3)))))))
(+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 -1 (pow.f64 y 2)) y) (pow.f64 y 2))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 1/6 (/.f64 (+.f64 y (+.f64 (*.f64 -3 (pow.f64 y 2)) (*.f64 2 (pow.f64 y 3)))) (pow.f64 y 2))) (*.f64 -1/4 (/.f64 (pow.f64 (+.f64 (*.f64 -1 (pow.f64 y 2)) y) 2) (pow.f64 y 3)))) z)) (+.f64 (/.f64 1 (*.f64 y z)) (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/12 (/.f64 (*.f64 (+.f64 y (+.f64 (*.f64 -3 (pow.f64 y 2)) (*.f64 2 (pow.f64 y 3)))) (+.f64 (*.f64 -1 (pow.f64 y 2)) y)) (pow.f64 y 3))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (+.f64 (*.f64 -1 (pow.f64 y 2)) y) (+.f64 (*.f64 1/6 (/.f64 (+.f64 (*.f64 -3 (pow.f64 y 2)) (+.f64 y (*.f64 2 (pow.f64 y 3)))) (pow.f64 y 2))) (*.f64 -1/4 (/.f64 (pow.f64 (+.f64 (*.f64 -1 (pow.f64 y 2)) y) 2) (pow.f64 y 3))))) y)) (*.f64 1/24 (/.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 y 2))))) (pow.f64 z 2))))))
(fma.f64 -1/2 (/.f64 (fma.f64 -1 (*.f64 y y) y) (*.f64 y y)) (+.f64 (fma.f64 -1 (*.f64 z (fma.f64 1/6 (/.f64 (+.f64 y (fma.f64 -3 (*.f64 y y) (*.f64 2 (pow.f64 y 3)))) (*.f64 y y)) (*.f64 -1/4 (/.f64 (pow.f64 (fma.f64 -1 (*.f64 y y) y) 2) (pow.f64 y 3))))) (/.f64 1 (*.f64 z y))) (neg.f64 (*.f64 (*.f64 z z) (fma.f64 -1/12 (/.f64 (+.f64 y (fma.f64 -3 (*.f64 y y) (*.f64 2 (pow.f64 y 3)))) (/.f64 (pow.f64 y 3) (fma.f64 -1 (*.f64 y y) y))) (fma.f64 -1/2 (/.f64 (fma.f64 -1 (*.f64 y y) y) (/.f64 y (fma.f64 1/6 (/.f64 (fma.f64 -3 (*.f64 y y) (+.f64 y (*.f64 2 (pow.f64 y 3)))) (*.f64 y y)) (*.f64 -1/4 (/.f64 (pow.f64 (fma.f64 -1 (*.f64 y y) y) 2) (pow.f64 y 3)))))) (*.f64 1/24 (/.f64 (+.f64 y (fma.f64 -3 (*.f64 y y) (fma.f64 12 (pow.f64 y 3) (fma.f64 -4 (*.f64 y y) (*.f64 -6 (pow.f64 y 4)))))) (*.f64 y y)))))))))
(fma.f64 -1/2 (/.f64 (-.f64 y (*.f64 y y)) (*.f64 y y)) (-.f64 (-.f64 (/.f64 1 (*.f64 z y)) (*.f64 z (fma.f64 1/6 (/.f64 (fma.f64 (*.f64 y y) -3 (fma.f64 2 (pow.f64 y 3) y)) (*.f64 y y)) (*.f64 -1/4 (/.f64 (pow.f64 (-.f64 y (*.f64 y y)) 2) (pow.f64 y 3)))))) (*.f64 z (*.f64 z (fma.f64 -1/12 (*.f64 (/.f64 (fma.f64 (*.f64 y y) -3 (fma.f64 2 (pow.f64 y 3) y)) (pow.f64 y 3)) (-.f64 y (*.f64 y y))) (fma.f64 -1/2 (*.f64 (/.f64 (-.f64 y (*.f64 y y)) y) (fma.f64 1/6 (/.f64 (fma.f64 (*.f64 y y) -3 (fma.f64 2 (pow.f64 y 3) y)) (*.f64 y y)) (*.f64 -1/4 (/.f64 (pow.f64 (-.f64 y (*.f64 y y)) 2) (pow.f64 y 3))))) (*.f64 1/24 (/.f64 (+.f64 (fma.f64 (pow.f64 y 3) 12 (fma.f64 -6 (pow.f64 y 4) (*.f64 y (*.f64 y -4)))) (fma.f64 (*.f64 y y) -3 y)) (*.f64 y y)))))))))
(/.f64 1 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))))
(/.f64 1 (log1p.f64 (*.f64 (expm1.f64 z) y)))
(/.f64 1 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))))
(/.f64 1 (log1p.f64 (*.f64 (expm1.f64 z) y)))
(/.f64 1 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))))
(/.f64 1 (log1p.f64 (*.f64 (expm1.f64 z) y)))
(/.f64 1 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))))
(/.f64 1 (log1p.f64 (*.f64 (expm1.f64 z) y)))
(/.f64 1 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))))
(/.f64 1 (log1p.f64 (*.f64 (expm1.f64 z) y)))
(/.f64 1 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))))
(/.f64 1 (log1p.f64 (*.f64 (expm1.f64 z) y)))
(/.f64 1 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))))
(/.f64 1 (log1p.f64 (*.f64 (expm1.f64 z) y)))
(/.f64 1 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))))
(/.f64 1 (log1p.f64 (*.f64 (expm1.f64 z) y)))

localize8.0ms (0%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓4.6b
(*.f64 y (/.f64 (neg.f64 z) t))
Compiler

Compiled 19 to 7 computations (63.2% saved)

series3.0ms (0%)

Counts
1 → 36
Calls

9 calls:

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

rewrite55.0ms (0.2%)

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

Useful iterations: 1 (0.0ms)

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

simplify30.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

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

localize20.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(-.f64 z (*.f64 z (*.f64 z -1/2)))
✓0.0b
(-.f64 x (*.f64 (/.f64 y t) (-.f64 z (*.f64 z (*.f64 z -1/2)))))
✓10.5b
(*.f64 (/.f64 y t) (-.f64 z (*.f64 z (*.f64 z -1/2))))
Compiler

Compiled 51 to 26 computations (49% saved)

series15.0ms (0.1%)

Counts
3 → 96
Calls

24 calls:

TimeVariablePointExpression
4.0ms
y
@0
(*.f64 (/.f64 y t) (-.f64 z (*.f64 z (*.f64 z -1/2))))
1.0ms
t
@0
(*.f64 (/.f64 y t) (-.f64 z (*.f64 z (*.f64 z -1/2))))
1.0ms
z
@inf
(*.f64 (/.f64 y t) (-.f64 z (*.f64 z (*.f64 z -1/2))))
1.0ms
x
@0
(-.f64 x (*.f64 (/.f64 y t) (-.f64 z (*.f64 z (*.f64 z -1/2)))))
1.0ms
z
@0
(*.f64 (/.f64 y t) (-.f64 z (*.f64 z (*.f64 z -1/2))))

rewrite117.0ms (0.5%)

Algorithm
1×batch-egg-rewrite
Rules
771×log-prod_binary64
447×fma-def_binary64
260×pow1/3_binary64
257×expm1-udef_binary64
257×log1p-udef_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01245
127545
2410639
Stop Event
1×node limit
Counts
3 → 261
Calls
Call 1
Inputs
(*.f64 (/.f64 y t) (-.f64 z (*.f64 z (*.f64 z -1/2))))
(-.f64 x (*.f64 (/.f64 y t) (-.f64 z (*.f64 z (*.f64 z -1/2)))))
(-.f64 z (*.f64 z (*.f64 z -1/2)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (/.f64 y t) (fma.f64 (*.f64 z z) 1/2 z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 z (/.f64 y t)) (*.f64 (*.f64 (*.f64 z z) 1/2) (/.f64 y t)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 y t) z) (*.f64 (/.f64 y t) (*.f64 (*.f64 z z) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 y t)) (fma.f64 (*.f64 z z) 1/2 z))) (cbrt.f64 (pow.f64 (exp.f64 (/.f64 y t)) (fma.f64 (*.f64 z z) 1/2 z))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 y t)) (fma.f64 (*.f64 z z) 1/2 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 y t)) (fma.f64 (*.f64 z z) 1/2 z)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 y t)) (fma.f64 (*.f64 z z) 1/2 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 y t) (fma.f64 (*.f64 z z) 1/2 z)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 y (/.f64 t (fma.f64 (*.f64 z z) 1/2 z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (*.f64 z z) 1/2 z) (/.f64 t y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 t (*.f64 y (fma.f64 (*.f64 z z) 1/2 z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 z 3) (*.f64 (pow.f64 (*.f64 z z) 3) -1/8)) (*.f64 (/.f64 t y) (fma.f64 z z (*.f64 (*.f64 z (*.f64 z -1/2)) (fma.f64 z (*.f64 z -1/2) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 z z) (pow.f64 (*.f64 z (*.f64 z -1/2)) 2)) (*.f64 (/.f64 t y) (fma.f64 z (*.f64 z -1/2) z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (fma.f64 (*.f64 z z) 1/2 z)) t)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 y (fma.f64 (*.f64 z z) 1/2 z))) (neg.f64 t))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (-.f64 (pow.f64 z 3) (*.f64 (pow.f64 (*.f64 z z) 3) -1/8))) (*.f64 t (fma.f64 z z (*.f64 (*.f64 z (*.f64 z -1/2)) (fma.f64 z (*.f64 z -1/2) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 y) (-.f64 (pow.f64 z 3) (*.f64 (pow.f64 (*.f64 z z) 3) -1/8))) (*.f64 (neg.f64 t) (fma.f64 z z (*.f64 (*.f64 z (*.f64 z -1/2)) (fma.f64 z (*.f64 z -1/2) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (-.f64 (*.f64 z z) (pow.f64 (*.f64 z (*.f64 z -1/2)) 2))) (*.f64 t (fma.f64 z (*.f64 z -1/2) z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 y) (-.f64 (*.f64 z z) (pow.f64 (*.f64 z (*.f64 z -1/2)) 2))) (*.f64 (neg.f64 t) (fma.f64 z (*.f64 z -1/2) z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 z 3) (*.f64 (pow.f64 (*.f64 z z) 3) -1/8)) y) (*.f64 (fma.f64 z z (*.f64 (*.f64 z (*.f64 z -1/2)) (fma.f64 z (*.f64 z -1/2) z))) t))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 z z) (pow.f64 (*.f64 z (*.f64 z -1/2)) 2)) y) (*.f64 (fma.f64 z (*.f64 z -1/2) z) t))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 z 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(-.f64 (sqrt.f64 z) (*.f64 z (sqrt.f64 -1/2))) (+.f64 (*.f64 (*.f64 z z) 1/2) (*.f64 z (*.f64 z -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (*.f64 z z)) -1/2 z)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 z (*.f64 z -1/2))) 2)) (cbrt.f64 (*.f64 z (*.f64 z -1/2))) z)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (neg.f64 z) z) -1/2 z)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (neg.f64 z) -1/2) z z)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (neg.f64 z) 1) (*.f64 z -1/2) z)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (neg.f64 z) (pow.f64 (cbrt.f64 (*.f64 z -1/2)) 2)) (cbrt.f64 (*.f64 z -1/2)) z)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (neg.f64 z) (sqrt.f64 (*.f64 z -1/2))) (sqrt.f64 (*.f64 z -1/2)) z)))))

simplify89.0ms (0.4%)

Algorithm
1×egg-herbie
Rules
582×cancel-sign-sub-inv_binary64
495×associate-/l*_binary64
379×associate-/r*_binary64
379×distribute-neg-frac_binary64
325×distribute-rgt-neg-in_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0361315
1911281
22081281
35571281
420691281
569941281
Stop Event
1×node limit
Counts
357 → 286
Calls
Call 1
Inputs
(/.f64 (*.f64 y (-.f64 z (*.f64 -1/2 (pow.f64 z 2)))) t)
(/.f64 (*.f64 y (-.f64 z (*.f64 -1/2 (pow.f64 z 2)))) t)
(/.f64 (*.f64 y (-.f64 z (*.f64 -1/2 (pow.f64 z 2)))) t)
(/.f64 (*.f64 y (-.f64 z (*.f64 -1/2 (pow.f64 z 2)))) t)
(/.f64 (*.f64 y (-.f64 z (*.f64 -1/2 (pow.f64 z 2)))) t)
(/.f64 (*.f64 y (-.f64 z (*.f64 -1/2 (pow.f64 z 2)))) t)
(/.f64 (*.f64 y (-.f64 z (*.f64 -1/2 (pow.f64 z 2)))) t)
(/.f64 (*.f64 y (-.f64 z (*.f64 -1/2 (pow.f64 z 2)))) t)
(/.f64 (*.f64 y (-.f64 z (*.f64 -1/2 (pow.f64 z 2)))) t)
(/.f64 (*.f64 y (-.f64 z (*.f64 -1/2 (pow.f64 z 2)))) t)
(/.f64 (*.f64 y (-.f64 z (*.f64 -1/2 (pow.f64 z 2)))) t)
(/.f64 (*.f64 y (-.f64 z (*.f64 -1/2 (pow.f64 z 2)))) t)
(/.f64 (*.f64 y (-.f64 z (*.f64 -1/2 (pow.f64 z 2)))) t)
(/.f64 (*.f64 y (-.f64 z (*.f64 -1/2 (pow.f64 z 2)))) t)
(/.f64 (*.f64 y (-.f64 z (*.f64 -1/2 (pow.f64 z 2)))) t)
(/.f64 (*.f64 y (-.f64 z (*.f64 -1/2 (pow.f64 z 2)))) t)
(/.f64 (*.f64 y (-.f64 z (*.f64 -1/2 (pow.f64 z 2)))) t)
(/.f64 (*.f64 y (-.f64 z (*.f64 -1/2 (pow.f64 z 2)))) t)
(/.f64 (*.f64 y (-.f64 z (*.f64 -1/2 (pow.f64 z 2)))) t)
(/.f64 (*.f64 y (-.f64 z (*.f64 -1/2 (pow.f64 z 2)))) t)
(/.f64 (*.f64 y (-.f64 z (*.f64 -1/2 (pow.f64 z 2)))) t)
(/.f64 (*.f64 y (-.f64 z (*.f64 -1/2 (pow.f64 z 2)))) t)
(/.f64 (*.f64 y (-.f64 z (*.f64 -1/2 (pow.f64 z 2)))) t)
(/.f64 (*.f64 y (-.f64 z (*.f64 -1/2 (pow.f64 z 2)))) t)
(/.f64 (*.f64 y z) t)
(+.f64 (/.f64 (*.f64 y z) t) (*.f64 1/2 (/.f64 (*.f64 y (pow.f64 z 2)) t)))
(+.f64 (/.f64 (*.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 -1 (/.f64 (*.f64 y (-.f64 z (*.f64 -1/2 (pow.f64 z 2)))) t))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y (-.f64 z (*.f64 -1/2 (pow.f64 z 2)))) t)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y (-.f64 z (*.f64 -1/2 (pow.f64 z 2)))) t)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y (-.f64 z (*.f64 -1/2 (pow.f64 z 2)))) t)) x)
x
(+.f64 (*.f64 -1 (/.f64 (*.f64 y (-.f64 z (*.f64 -1/2 (pow.f64 z 2)))) t)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y (-.f64 z (*.f64 -1/2 (pow.f64 z 2)))) t)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y (-.f64 z (*.f64 -1/2 (pow.f64 z 2)))) t)) x)
x
(+.f64 (*.f64 -1 (/.f64 (*.f64 y (-.f64 z (*.f64 -1/2 (pow.f64 z 2)))) t)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y (-.f64 z (*.f64 -1/2 (pow.f64 z 2)))) t)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y (-.f64 z (*.f64 -1/2 (pow.f64 z 2)))) t)) x)
x
(+.f64 (*.f64 (-.f64 (*.f64 -1/2 (/.f64 (pow.f64 z 2) t)) (/.f64 z t)) y) x)
(+.f64 (*.f64 (-.f64 (*.f64 -1/2 (/.f64 (pow.f64 z 2) t)) (/.f64 z t)) y) x)
(+.f64 (*.f64 (-.f64 (*.f64 -1/2 (/.f64 (pow.f64 z 2) t)) (/.f64 z t)) y) x)
(*.f64 (-.f64 (*.f64 -1/2 (/.f64 (pow.f64 z 2) t)) (/.f64 z t)) y)
(+.f64 (*.f64 (-.f64 (*.f64 -1/2 (/.f64 (pow.f64 z 2) t)) (/.f64 z t)) y) x)
(+.f64 (*.f64 (-.f64 (*.f64 -1/2 (/.f64 (pow.f64 z 2) t)) (/.f64 z t)) y) x)
(+.f64 (*.f64 (-.f64 (*.f64 -1/2 (/.f64 (pow.f64 z 2) t)) (/.f64 z t)) y) x)
(*.f64 -1 (/.f64 (*.f64 y (-.f64 z (*.f64 -1/2 (pow.f64 z 2)))) t))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y (-.f64 z (*.f64 -1/2 (pow.f64 z 2)))) t)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y (-.f64 z (*.f64 -1/2 (pow.f64 z 2)))) t)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y (-.f64 z (*.f64 -1/2 (pow.f64 z 2)))) t)) x)
(*.f64 -1 (/.f64 (*.f64 y (-.f64 z (*.f64 -1/2 (pow.f64 z 2)))) t))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y (-.f64 z (*.f64 -1/2 (pow.f64 z 2)))) t)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y (-.f64 z (*.f64 -1/2 (pow.f64 z 2)))) t)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y (-.f64 z (*.f64 -1/2 (pow.f64 z 2)))) t)) x)
x
(+.f64 (*.f64 -1 (/.f64 (*.f64 y (-.f64 z (*.f64 -1/2 (pow.f64 z 2)))) t)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y (-.f64 z (*.f64 -1/2 (pow.f64 z 2)))) t)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y (-.f64 z (*.f64 -1/2 (pow.f64 z 2)))) t)) x)
x
(+.f64 (*.f64 -1 (/.f64 (*.f64 y (-.f64 z (*.f64 -1/2 (pow.f64 z 2)))) t)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y (-.f64 z (*.f64 -1/2 (pow.f64 z 2)))) t)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y (-.f64 z (*.f64 -1/2 (pow.f64 z 2)))) 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)) x))
(*.f64 -1/2 (/.f64 (*.f64 y (pow.f64 z 2)) t))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) (*.f64 -1/2 (/.f64 (*.f64 y (pow.f64 z 2)) t)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 y (pow.f64 z 2)) t)) x))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 y (pow.f64 z 2)) t)) x))
(*.f64 -1/2 (/.f64 (*.f64 y (pow.f64 z 2)) t))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) (*.f64 -1/2 (/.f64 (*.f64 y (pow.f64 z 2)) t)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 y (pow.f64 z 2)) t)) x))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 y (pow.f64 z 2)) t)) x))
z
(+.f64 (*.f64 1/2 (pow.f64 z 2)) z)
(+.f64 (*.f64 1/2 (pow.f64 z 2)) z)
(+.f64 (*.f64 1/2 (pow.f64 z 2)) z)
(*.f64 1/2 (pow.f64 z 2))
(+.f64 (*.f64 1/2 (pow.f64 z 2)) z)
(+.f64 (*.f64 1/2 (pow.f64 z 2)) z)
(+.f64 (*.f64 1/2 (pow.f64 z 2)) z)
(*.f64 1/2 (pow.f64 z 2))
(+.f64 (*.f64 1/2 (pow.f64 z 2)) z)
(+.f64 (*.f64 1/2 (pow.f64 z 2)) z)
(+.f64 (*.f64 1/2 (pow.f64 z 2)) z)
Outputs
(/.f64 (*.f64 y (-.f64 z (*.f64 -1/2 (pow.f64 z 2)))) t)
(/.f64 y (/.f64 t (fma.f64 1/2 (*.f64 z z) z)))
(*.f64 (/.f64 y t) (fma.f64 (*.f64 z z) 1/2 z))
(*.f64 (fma.f64 z (*.f64 z 1/2) z) (/.f64 y t))
(/.f64 (fma.f64 z 1/2 1) (/.f64 t (*.f64 y z)))
(*.f64 y (*.f64 (/.f64 (fma.f64 z 1/2 1) t) z))
(/.f64 (*.f64 y (-.f64 z (*.f64 -1/2 (pow.f64 z 2)))) t)
(/.f64 y (/.f64 t (fma.f64 1/2 (*.f64 z z) z)))
(*.f64 (/.f64 y t) (fma.f64 (*.f64 z z) 1/2 z))
(*.f64 (fma.f64 z (*.f64 z 1/2) z) (/.f64 y t))
(/.f64 (fma.f64 z 1/2 1) (/.f64 t (*.f64 y z)))
(*.f64 y (*.f64 (/.f64 (fma.f64 z 1/2 1) t) z))
(/.f64 (*.f64 y (-.f64 z (*.f64 -1/2 (pow.f64 z 2)))) t)
(/.f64 y (/.f64 t (fma.f64 1/2 (*.f64 z z) z)))
(*.f64 (/.f64 y t) (fma.f64 (*.f64 z z) 1/2 z))
(*.f64 (fma.f64 z (*.f64 z 1/2) z) (/.f64 y t))
(/.f64 (fma.f64 z 1/2 1) (/.f64 t (*.f64 y z)))
(*.f64 y (*.f64 (/.f64 (fma.f64 z 1/2 1) t) z))
(/.f64 (*.f64 y (-.f64 z (*.f64 -1/2 (pow.f64 z 2)))) t)
(/.f64 y (/.f64 t (fma.f64 1/2 (*.f64 z z) z)))
(*.f64 (/.f64 y t) (fma.f64 (*.f64 z z) 1/2 z))
(*.f64 (fma.f64 z (*.f64 z 1/2) z) (/.f64 y t))
(/.f64 (fma.f64 z 1/2 1) (/.f64 t (*.f64 y z)))
(*.f64 y (*.f64 (/.f64 (fma.f64 z 1/2 1) t) z))
(/.f64 (*.f64 y (-.f64 z (*.f64 -1/2 (pow.f64 z 2)))) t)
(/.f64 y (/.f64 t (fma.f64 1/2 (*.f64 z z) z)))
(*.f64 (/.f64 y t) (fma.f64 (*.f64 z z) 1/2 z))
(*.f64 (fma.f64 z (*.f64 z 1/2) z) (/.f64 y t))
(/.f64 (fma.f64 z 1/2 1) (/.f64 t (*.f64 y z)))
(*.f64 y (*.f64 (/.f64 (fma.f64 z 1/2 1) t) z))
(/.f64 (*.f64 y (-.f64 z (*.f64 -1/2 (pow.f64 z 2)))) t)
(/.f64 y (/.f64 t (fma.f64 1/2 (*.f64 z z) z)))
(*.f64 (/.f64 y t) (fma.f64 (*.f64 z z) 1/2 z))
(*.f64 (fma.f64 z (*.f64 z 1/2) z) (/.f64 y t))
(/.f64 (fma.f64 z 1/2 1) (/.f64 t (*.f64 y z)))
(*.f64 y (*.f64 (/.f64 (fma.f64 z 1/2 1) t) z))
(/.f64 (*.f64 y (-.f64 z (*.f64 -1/2 (pow.f64 z 2)))) t)
(/.f64 y (/.f64 t (fma.f64 1/2 (*.f64 z z) z)))
(*.f64 (/.f64 y t) (fma.f64 (*.f64 z z) 1/2 z))
(*.f64 (fma.f64 z (*.f64 z 1/2) z) (/.f64 y t))
(/.f64 (fma.f64 z 1/2 1) (/.f64 t (*.f64 y z)))
(*.f64 y (*.f64 (/.f64 (fma.f64 z 1/2 1) t) z))
(/.f64 (*.f64 y (-.f64 z (*.f64 -1/2 (pow.f64 z 2)))) t)
(/.f64 y (/.f64 t (fma.f64 1/2 (*.f64 z z) z)))
(*.f64 (/.f64 y t) (fma.f64 (*.f64 z z) 1/2 z))
(*.f64 (fma.f64 z (*.f64 z 1/2) z) (/.f64 y t))
(/.f64 (fma.f64 z 1/2 1) (/.f64 t (*.f64 y z)))
(*.f64 y (*.f64 (/.f64 (fma.f64 z 1/2 1) t) z))
(/.f64 (*.f64 y (-.f64 z (*.f64 -1/2 (pow.f64 z 2)))) t)
(/.f64 y (/.f64 t (fma.f64 1/2 (*.f64 z z) z)))
(*.f64 (/.f64 y t) (fma.f64 (*.f64 z z) 1/2 z))
(*.f64 (fma.f64 z (*.f64 z 1/2) z) (/.f64 y t))
(/.f64 (fma.f64 z 1/2 1) (/.f64 t (*.f64 y z)))
(*.f64 y (*.f64 (/.f64 (fma.f64 z 1/2 1) t) z))
(/.f64 (*.f64 y (-.f64 z (*.f64 -1/2 (pow.f64 z 2)))) t)
(/.f64 y (/.f64 t (fma.f64 1/2 (*.f64 z z) z)))
(*.f64 (/.f64 y t) (fma.f64 (*.f64 z z) 1/2 z))
(*.f64 (fma.f64 z (*.f64 z 1/2) z) (/.f64 y t))
(/.f64 (fma.f64 z 1/2 1) (/.f64 t (*.f64 y z)))
(*.f64 y (*.f64 (/.f64 (fma.f64 z 1/2 1) t) z))
(/.f64 (*.f64 y (-.f64 z (*.f64 -1/2 (pow.f64 z 2)))) t)
(/.f64 y (/.f64 t (fma.f64 1/2 (*.f64 z z) z)))
(*.f64 (/.f64 y t) (fma.f64 (*.f64 z z) 1/2 z))
(*.f64 (fma.f64 z (*.f64 z 1/2) z) (/.f64 y t))
(/.f64 (fma.f64 z 1/2 1) (/.f64 t (*.f64 y z)))
(*.f64 y (*.f64 (/.f64 (fma.f64 z 1/2 1) t) z))
(/.f64 (*.f64 y (-.f64 z (*.f64 -1/2 (pow.f64 z 2)))) t)
(/.f64 y (/.f64 t (fma.f64 1/2 (*.f64 z z) z)))
(*.f64 (/.f64 y t) (fma.f64 (*.f64 z z) 1/2 z))
(*.f64 (fma.f64 z (*.f64 z 1/2) z) (/.f64 y t))
(/.f64 (fma.f64 z 1/2 1) (/.f64 t (*.f64 y z)))
(*.f64 y (*.f64 (/.f64 (fma.f64 z 1/2 1) t) z))
(/.f64 (*.f64 y (-.f64 z (*.f64 -1/2 (pow.f64 z 2)))) t)
(/.f64 y (/.f64 t (fma.f64 1/2 (*.f64 z z) z)))
(*.f64 (/.f64 y t) (fma.f64 (*.f64 z z) 1/2 z))
(*.f64 (fma.f64 z (*.f64 z 1/2) z) (/.f64 y t))
(/.f64 (fma.f64 z 1/2 1) (/.f64 t (*.f64 y z)))
(*.f64 y (*.f64 (/.f64 (fma.f64 z 1/2 1) t) z))
(/.f64 (*.f64 y (-.f64 z (*.f64 -1/2 (pow.f64 z 2)))) t)
(/.f64 y (/.f64 t (fma.f64 1/2 (*.f64 z z) z)))
(*.f64 (/.f64 y t) (fma.f64 (*.f64 z z) 1/2 z))
(*.f64 (fma.f64 z (*.f64 z 1/2) z) (/.f64 y t))
(/.f64 (fma.f64 z 1/2 1) (/.f64 t (*.f64 y z)))
(*.f64 y (*.f64 (/.f64 (fma.f64 z 1/2 1) t) z))
(/.f64 (*.f64 y (-.f64 z (*.f64 -1/2 (pow.f64 z 2)))) t)
(/.f64 y (/.f64 t (fma.f64 1/2 (*.f64 z z) z)))
(*.f64 (/.f64 y t) (fma.f64 (*.f64 z z) 1/2 z))
(*.f64 (fma.f64 z (*.f64 z 1/2) z) (/.f64 y t))
(/.f64 (fma.f64 z 1/2 1) (/.f64 t (*.f64 y z)))
(*.f64 y (*.f64 (/.f64 (fma.f64 z 1/2 1) t) z))
(/.f64 (*.f64 y (-.f64 z (*.f64 -1/2 (pow.f64 z 2)))) t)
(/.f64 y (/.f64 t (fma.f64 1/2 (*.f64 z z) z)))
(*.f64 (/.f64 y t) (fma.f64 (*.f64 z z) 1/2 z))
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(-.f64 x (*.f64 (fma.f64 z (*.f64 z 1/2) z) (/.f64 y t)))
(-.f64 x (/.f64 (fma.f64 z 1/2 1) (/.f64 t (*.f64 y z))))
(fma.f64 (/.f64 (neg.f64 y) t) (fma.f64 z (*.f64 z 1/2) z) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y (-.f64 z (*.f64 -1/2 (pow.f64 z 2)))) t)) x)
(fma.f64 -1 (/.f64 y (/.f64 t (fma.f64 1/2 (*.f64 z z) z))) x)
(-.f64 x (*.f64 (/.f64 y t) (fma.f64 (*.f64 z z) 1/2 z)))
(-.f64 x (*.f64 (fma.f64 z (*.f64 z 1/2) z) (/.f64 y t)))
(-.f64 x (/.f64 (fma.f64 z 1/2 1) (/.f64 t (*.f64 y z))))
(fma.f64 (/.f64 (neg.f64 y) t) (fma.f64 z (*.f64 z 1/2) z) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y (-.f64 z (*.f64 -1/2 (pow.f64 z 2)))) t)) x)
(fma.f64 -1 (/.f64 y (/.f64 t (fma.f64 1/2 (*.f64 z z) z))) x)
(-.f64 x (*.f64 (/.f64 y t) (fma.f64 (*.f64 z z) 1/2 z)))
(-.f64 x (*.f64 (fma.f64 z (*.f64 z 1/2) z) (/.f64 y t)))
(-.f64 x (/.f64 (fma.f64 z 1/2 1) (/.f64 t (*.f64 y z))))
(fma.f64 (/.f64 (neg.f64 y) t) (fma.f64 z (*.f64 z 1/2) z) x)
(*.f64 -1 (/.f64 (*.f64 y (-.f64 z (*.f64 -1/2 (pow.f64 z 2)))) t))
(neg.f64 (/.f64 y (/.f64 t (fma.f64 1/2 (*.f64 z z) z))))
(/.f64 (neg.f64 (*.f64 y (fma.f64 (*.f64 z z) 1/2 z))) t)
(*.f64 (/.f64 y t) (neg.f64 (fma.f64 z (*.f64 z 1/2) z)))
(*.f64 y (neg.f64 (/.f64 (*.f64 z (fma.f64 z 1/2 1)) t)))
(*.f64 y (*.f64 (/.f64 z t) (neg.f64 (fma.f64 z 1/2 1))))
(*.f64 y (*.f64 (/.f64 z t) (-.f64 -1 (*.f64 z 1/2))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y (-.f64 z (*.f64 -1/2 (pow.f64 z 2)))) t)) x)
(fma.f64 -1 (/.f64 y (/.f64 t (fma.f64 1/2 (*.f64 z z) z))) x)
(-.f64 x (*.f64 (/.f64 y t) (fma.f64 (*.f64 z z) 1/2 z)))
(-.f64 x (*.f64 (fma.f64 z (*.f64 z 1/2) z) (/.f64 y t)))
(-.f64 x (/.f64 (fma.f64 z 1/2 1) (/.f64 t (*.f64 y z))))
(fma.f64 (/.f64 (neg.f64 y) t) (fma.f64 z (*.f64 z 1/2) z) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y (-.f64 z (*.f64 -1/2 (pow.f64 z 2)))) t)) x)
(fma.f64 -1 (/.f64 y (/.f64 t (fma.f64 1/2 (*.f64 z z) z))) x)
(-.f64 x (*.f64 (/.f64 y t) (fma.f64 (*.f64 z z) 1/2 z)))
(-.f64 x (*.f64 (fma.f64 z (*.f64 z 1/2) z) (/.f64 y t)))
(-.f64 x (/.f64 (fma.f64 z 1/2 1) (/.f64 t (*.f64 y z))))
(fma.f64 (/.f64 (neg.f64 y) t) (fma.f64 z (*.f64 z 1/2) z) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y (-.f64 z (*.f64 -1/2 (pow.f64 z 2)))) t)) x)
(fma.f64 -1 (/.f64 y (/.f64 t (fma.f64 1/2 (*.f64 z z) z))) x)
(-.f64 x (*.f64 (/.f64 y t) (fma.f64 (*.f64 z z) 1/2 z)))
(-.f64 x (*.f64 (fma.f64 z (*.f64 z 1/2) z) (/.f64 y t)))
(-.f64 x (/.f64 (fma.f64 z 1/2 1) (/.f64 t (*.f64 y z))))
(fma.f64 (/.f64 (neg.f64 y) t) (fma.f64 z (*.f64 z 1/2) z) x)
x
(+.f64 (*.f64 -1 (/.f64 (*.f64 y (-.f64 z (*.f64 -1/2 (pow.f64 z 2)))) t)) x)
(fma.f64 -1 (/.f64 y (/.f64 t (fma.f64 1/2 (*.f64 z z) z))) x)
(-.f64 x (*.f64 (/.f64 y t) (fma.f64 (*.f64 z z) 1/2 z)))
(-.f64 x (*.f64 (fma.f64 z (*.f64 z 1/2) z) (/.f64 y t)))
(-.f64 x (/.f64 (fma.f64 z 1/2 1) (/.f64 t (*.f64 y z))))
(fma.f64 (/.f64 (neg.f64 y) t) (fma.f64 z (*.f64 z 1/2) z) x)
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(fma.f64 -1 (/.f64 y (/.f64 t (fma.f64 1/2 (*.f64 z z) z))) x)
(-.f64 x (*.f64 (/.f64 y t) (fma.f64 (*.f64 z z) 1/2 z)))
(-.f64 x (*.f64 (fma.f64 z (*.f64 z 1/2) z) (/.f64 y t)))
(-.f64 x (/.f64 (fma.f64 z 1/2 1) (/.f64 t (*.f64 y z))))
(fma.f64 (/.f64 (neg.f64 y) t) (fma.f64 z (*.f64 z 1/2) z) x)
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(fma.f64 -1 (/.f64 y (/.f64 t (fma.f64 1/2 (*.f64 z z) z))) x)
(-.f64 x (*.f64 (/.f64 y t) (fma.f64 (*.f64 z z) 1/2 z)))
(-.f64 x (*.f64 (fma.f64 z (*.f64 z 1/2) z) (/.f64 y t)))
(-.f64 x (/.f64 (fma.f64 z 1/2 1) (/.f64 t (*.f64 y z))))
(fma.f64 (/.f64 (neg.f64 y) t) (fma.f64 z (*.f64 z 1/2) z) x)
x
(+.f64 (*.f64 -1 (/.f64 (*.f64 y (-.f64 z (*.f64 -1/2 (pow.f64 z 2)))) t)) x)
(fma.f64 -1 (/.f64 y (/.f64 t (fma.f64 1/2 (*.f64 z z) z))) x)
(-.f64 x (*.f64 (/.f64 y t) (fma.f64 (*.f64 z z) 1/2 z)))
(-.f64 x (*.f64 (fma.f64 z (*.f64 z 1/2) z) (/.f64 y t)))
(-.f64 x (/.f64 (fma.f64 z 1/2 1) (/.f64 t (*.f64 y z))))
(fma.f64 (/.f64 (neg.f64 y) t) (fma.f64 z (*.f64 z 1/2) z) x)
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(fma.f64 -1 (/.f64 y (/.f64 t (fma.f64 1/2 (*.f64 z z) z))) x)
(-.f64 x (*.f64 (/.f64 y t) (fma.f64 (*.f64 z z) 1/2 z)))
(-.f64 x (*.f64 (fma.f64 z (*.f64 z 1/2) z) (/.f64 y t)))
(-.f64 x (/.f64 (fma.f64 z 1/2 1) (/.f64 t (*.f64 y z))))
(fma.f64 (/.f64 (neg.f64 y) t) (fma.f64 z (*.f64 z 1/2) z) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y (-.f64 z (*.f64 -1/2 (pow.f64 z 2)))) t)) x)
(fma.f64 -1 (/.f64 y (/.f64 t (fma.f64 1/2 (*.f64 z z) z))) x)
(-.f64 x (*.f64 (/.f64 y t) (fma.f64 (*.f64 z z) 1/2 z)))
(-.f64 x (*.f64 (fma.f64 z (*.f64 z 1/2) z) (/.f64 y t)))
(-.f64 x (/.f64 (fma.f64 z 1/2 1) (/.f64 t (*.f64 y z))))
(fma.f64 (/.f64 (neg.f64 y) t) (fma.f64 z (*.f64 z 1/2) z) x)
x
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(fma.f64 -1 (/.f64 y (/.f64 t z)) x)
(-.f64 x (/.f64 z (/.f64 t y)))
(-.f64 x (*.f64 z (/.f64 y t)))
(fma.f64 y (/.f64 (neg.f64 z) t) x)
(-.f64 x (*.f64 y (/.f64 z t)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 y (pow.f64 z 2)) t)) x))
(fma.f64 -1 (/.f64 y (/.f64 t (fma.f64 1/2 (*.f64 z z) z))) x)
(-.f64 x (*.f64 (/.f64 y t) (fma.f64 (*.f64 z z) 1/2 z)))
(-.f64 x (*.f64 (fma.f64 z (*.f64 z 1/2) z) (/.f64 y t)))
(-.f64 x (/.f64 (fma.f64 z 1/2 1) (/.f64 t (*.f64 y z))))
(fma.f64 (/.f64 (neg.f64 y) t) (fma.f64 z (*.f64 z 1/2) z) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 y (pow.f64 z 2)) t)) x))
(fma.f64 -1 (/.f64 y (/.f64 t (fma.f64 1/2 (*.f64 z z) z))) x)
(-.f64 x (*.f64 (/.f64 y t) (fma.f64 (*.f64 z z) 1/2 z)))
(-.f64 x (*.f64 (fma.f64 z (*.f64 z 1/2) z) (/.f64 y t)))
(-.f64 x (/.f64 (fma.f64 z 1/2 1) (/.f64 t (*.f64 y z))))
(fma.f64 (/.f64 (neg.f64 y) t) (fma.f64 z (*.f64 z 1/2) z) x)
(*.f64 -1/2 (/.f64 (*.f64 y (pow.f64 z 2)) t))
(*.f64 -1/2 (/.f64 y (/.f64 t (*.f64 z z))))
(*.f64 -1/2 (*.f64 (/.f64 y t) (*.f64 z z)))
(*.f64 y (*.f64 (/.f64 -1/2 t) (*.f64 z z)))
(*.f64 (/.f64 -1/2 (/.f64 t z)) (*.f64 y z))
(*.f64 y (*.f64 z (/.f64 z (/.f64 t -1/2))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) (*.f64 -1/2 (/.f64 (*.f64 y (pow.f64 z 2)) t)))
(neg.f64 (/.f64 y (/.f64 t (fma.f64 1/2 (*.f64 z z) z))))
(/.f64 (neg.f64 (*.f64 y (fma.f64 (*.f64 z z) 1/2 z))) t)
(*.f64 (/.f64 y t) (neg.f64 (fma.f64 z (*.f64 z 1/2) z)))
(*.f64 y (neg.f64 (/.f64 (*.f64 z (fma.f64 z 1/2 1)) t)))
(*.f64 y (*.f64 (/.f64 z t) (neg.f64 (fma.f64 z 1/2 1))))
(*.f64 y (*.f64 (/.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)) x))
(fma.f64 -1 (/.f64 y (/.f64 t (fma.f64 1/2 (*.f64 z z) z))) x)
(-.f64 x (*.f64 (/.f64 y t) (fma.f64 (*.f64 z z) 1/2 z)))
(-.f64 x (*.f64 (fma.f64 z (*.f64 z 1/2) z) (/.f64 y t)))
(-.f64 x (/.f64 (fma.f64 z 1/2 1) (/.f64 t (*.f64 y z))))
(fma.f64 (/.f64 (neg.f64 y) t) (fma.f64 z (*.f64 z 1/2) z) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 y (pow.f64 z 2)) t)) x))
(fma.f64 -1 (/.f64 y (/.f64 t (fma.f64 1/2 (*.f64 z z) z))) x)
(-.f64 x (*.f64 (/.f64 y t) (fma.f64 (*.f64 z z) 1/2 z)))
(-.f64 x (*.f64 (fma.f64 z (*.f64 z 1/2) z) (/.f64 y t)))
(-.f64 x (/.f64 (fma.f64 z 1/2 1) (/.f64 t (*.f64 y z))))
(fma.f64 (/.f64 (neg.f64 y) t) (fma.f64 z (*.f64 z 1/2) z) x)
(*.f64 -1/2 (/.f64 (*.f64 y (pow.f64 z 2)) t))
(*.f64 -1/2 (/.f64 y (/.f64 t (*.f64 z z))))
(*.f64 -1/2 (*.f64 (/.f64 y t) (*.f64 z z)))
(*.f64 y (*.f64 (/.f64 -1/2 t) (*.f64 z z)))
(*.f64 (/.f64 -1/2 (/.f64 t z)) (*.f64 y z))
(*.f64 y (*.f64 z (/.f64 z (/.f64 t -1/2))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) (*.f64 -1/2 (/.f64 (*.f64 y (pow.f64 z 2)) t)))
(neg.f64 (/.f64 y (/.f64 t (fma.f64 1/2 (*.f64 z z) z))))
(/.f64 (neg.f64 (*.f64 y (fma.f64 (*.f64 z z) 1/2 z))) t)
(*.f64 (/.f64 y t) (neg.f64 (fma.f64 z (*.f64 z 1/2) z)))
(*.f64 y (neg.f64 (/.f64 (*.f64 z (fma.f64 z 1/2 1)) t)))
(*.f64 y (*.f64 (/.f64 z t) (neg.f64 (fma.f64 z 1/2 1))))
(*.f64 y (*.f64 (/.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)) x))
(fma.f64 -1 (/.f64 y (/.f64 t (fma.f64 1/2 (*.f64 z z) z))) x)
(-.f64 x (*.f64 (/.f64 y t) (fma.f64 (*.f64 z z) 1/2 z)))
(-.f64 x (*.f64 (fma.f64 z (*.f64 z 1/2) z) (/.f64 y t)))
(-.f64 x (/.f64 (fma.f64 z 1/2 1) (/.f64 t (*.f64 y z))))
(fma.f64 (/.f64 (neg.f64 y) t) (fma.f64 z (*.f64 z 1/2) z) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 y (pow.f64 z 2)) t)) x))
(fma.f64 -1 (/.f64 y (/.f64 t (fma.f64 1/2 (*.f64 z z) z))) x)
(-.f64 x (*.f64 (/.f64 y t) (fma.f64 (*.f64 z z) 1/2 z)))
(-.f64 x (*.f64 (fma.f64 z (*.f64 z 1/2) z) (/.f64 y t)))
(-.f64 x (/.f64 (fma.f64 z 1/2 1) (/.f64 t (*.f64 y z))))
(fma.f64 (/.f64 (neg.f64 y) t) (fma.f64 z (*.f64 z 1/2) z) x)
z
(+.f64 (*.f64 1/2 (pow.f64 z 2)) z)
(fma.f64 1/2 (*.f64 z z) z)
(fma.f64 (*.f64 z z) 1/2 z)
(fma.f64 z (*.f64 z 1/2) z)
(*.f64 z (fma.f64 z 1/2 1))
(+.f64 (*.f64 1/2 (pow.f64 z 2)) z)
(fma.f64 1/2 (*.f64 z z) z)
(fma.f64 (*.f64 z z) 1/2 z)
(fma.f64 z (*.f64 z 1/2) z)
(*.f64 z (fma.f64 z 1/2 1))
(+.f64 (*.f64 1/2 (pow.f64 z 2)) z)
(fma.f64 1/2 (*.f64 z z) z)
(fma.f64 (*.f64 z z) 1/2 z)
(fma.f64 z (*.f64 z 1/2) z)
(*.f64 z (fma.f64 z 1/2 1))
(*.f64 1/2 (pow.f64 z 2))
(*.f64 (*.f64 z z) 1/2)
(*.f64 z (*.f64 z 1/2))
(+.f64 (*.f64 1/2 (pow.f64 z 2)) z)
(fma.f64 1/2 (*.f64 z z) z)
(fma.f64 (*.f64 z z) 1/2 z)
(fma.f64 z (*.f64 z 1/2) z)
(*.f64 z (fma.f64 z 1/2 1))
(+.f64 (*.f64 1/2 (pow.f64 z 2)) z)
(fma.f64 1/2 (*.f64 z z) z)
(fma.f64 (*.f64 z z) 1/2 z)
(fma.f64 z (*.f64 z 1/2) z)
(*.f64 z (fma.f64 z 1/2 1))
(+.f64 (*.f64 1/2 (pow.f64 z 2)) z)
(fma.f64 1/2 (*.f64 z z) z)
(fma.f64 (*.f64 z z) 1/2 z)
(fma.f64 z (*.f64 z 1/2) z)
(*.f64 z (fma.f64 z 1/2 1))
(*.f64 1/2 (pow.f64 z 2))
(*.f64 (*.f64 z z) 1/2)
(*.f64 z (*.f64 z 1/2))
(+.f64 (*.f64 1/2 (pow.f64 z 2)) z)
(fma.f64 1/2 (*.f64 z z) z)
(fma.f64 (*.f64 z z) 1/2 z)
(fma.f64 z (*.f64 z 1/2) z)
(*.f64 z (fma.f64 z 1/2 1))
(+.f64 (*.f64 1/2 (pow.f64 z 2)) z)
(fma.f64 1/2 (*.f64 z z) z)
(fma.f64 (*.f64 z z) 1/2 z)
(fma.f64 z (*.f64 z 1/2) z)
(*.f64 z (fma.f64 z 1/2 1))
(+.f64 (*.f64 1/2 (pow.f64 z 2)) z)
(fma.f64 1/2 (*.f64 z z) z)
(fma.f64 (*.f64 z z) 1/2 z)
(fma.f64 z (*.f64 z 1/2) z)
(*.f64 z (fma.f64 z 1/2 1))

localize10.0ms (0%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓4.1b
(*.f64 (expm1.f64 z) (/.f64 (neg.f64 y) t))
Compiler

Compiled 22 to 8 computations (63.6% saved)

series4.0ms (0%)

Counts
1 → 36
Calls

9 calls:

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

rewrite56.0ms (0.2%)

Algorithm
1×batch-egg-rewrite
Rules
770×pow1_binary64
709×add-log-exp_binary64
708×log1p-expm1-u_binary64
708×expm1-log1p-u_binary64
692×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0811
11689
223389
Stop Event
1×node limit
Counts
1 → 21
Calls
Call 1
Inputs
(*.f64 (expm1.f64 z) (/.f64 (neg.f64 y) t))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (expm1.f64 z) (/.f64 t y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (expm1.f64 z) (/.f64 t y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 t (*.f64 (expm1.f64 z) y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (expm1.f64 z) y) t)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (expm1.f64 z) y) (neg.f64 t))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (expm1.f64 z) y) 1) t)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (expm1.f64 z) y) (pow.f64 (cbrt.f64 t) 2)) (cbrt.f64 t))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (expm1.f64 z) y) (sqrt.f64 t)) (sqrt.f64 t))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (expm1.f64 z) (/.f64 t y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (expm1.f64 z) (/.f64 t y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (expm1.f64 z) (/.f64 t y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (expm1.f64 z) (/.f64 t y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (expm1.f64 z) (/.f64 t y)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (expm1.f64 z) (/.f64 t y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (expm1.f64 z)) (/.f64 y t)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (expm1.f64 z) (/.f64 t y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (expm1.f64 z) 3) (pow.f64 (/.f64 y t) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 y t) 3) (pow.f64 (expm1.f64 z) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (expm1.f64 z) (/.f64 t y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (expm1.f64 z) (/.f64 t y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (expm1.f64 z) (/.f64 t y))))))))

simplify48.0ms (0.2%)

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

Useful iterations: 4 (0.0ms)

IterNodesCost
038469
1104466
2259466
3758446
43185430
Stop Event
1×node limit
Counts
57 → 31
Calls
Call 1
Inputs
(*.f64 -1 (/.f64 (*.f64 y z) t))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) (*.f64 -1/2 (/.f64 (*.f64 y (pow.f64 z 2)) t)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 y (pow.f64 z 2)) t)) (*.f64 -1/6 (/.f64 (*.f64 y (pow.f64 z 3)) t))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 y (pow.f64 z 2)) t)) (+.f64 (*.f64 -1/24 (/.f64 (*.f64 y (pow.f64 z 4)) t)) (*.f64 -1/6 (/.f64 (*.f64 y (pow.f64 z 3)) t)))))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
Outputs
(*.f64 -1 (/.f64 (*.f64 y z) t))
(neg.f64 (/.f64 (*.f64 y z) t))
(neg.f64 (/.f64 z (/.f64 t y)))
(*.f64 (/.f64 (neg.f64 y) t) z)
(*.f64 (/.f64 y t) (neg.f64 z))
(*.f64 (neg.f64 y) (/.f64 z t))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) (*.f64 -1/2 (/.f64 (*.f64 y (pow.f64 z 2)) t)))
(fma.f64 -1 (/.f64 (*.f64 y z) t) (*.f64 -1/2 (/.f64 (*.f64 y (*.f64 z z)) t)))
(-.f64 (*.f64 -1/2 (/.f64 (*.f64 z z) (/.f64 t y))) (/.f64 z (/.f64 t y)))
(-.f64 (*.f64 -1/2 (*.f64 (*.f64 z z) (/.f64 y t))) (*.f64 z (/.f64 y t)))
(*.f64 (/.f64 y t) (-.f64 (*.f64 -1/2 (*.f64 z z)) z))
(*.f64 (/.f64 y t) (fma.f64 z (*.f64 z -1/2) (neg.f64 z)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 y (pow.f64 z 2)) t)) (*.f64 -1/6 (/.f64 (*.f64 y (pow.f64 z 3)) t))))
(fma.f64 -1 (/.f64 (*.f64 y z) t) (fma.f64 -1/2 (/.f64 (*.f64 y (*.f64 z z)) t) (*.f64 -1/6 (/.f64 (*.f64 y (pow.f64 z 3)) t))))
(-.f64 (fma.f64 -1/2 (/.f64 (*.f64 z z) (/.f64 t y)) (*.f64 -1/6 (/.f64 (pow.f64 z 3) (/.f64 t y)))) (/.f64 z (/.f64 t y)))
(-.f64 (fma.f64 -1/2 (*.f64 (*.f64 z z) (/.f64 y t)) (*.f64 -1/6 (*.f64 (pow.f64 z 3) (/.f64 y t)))) (*.f64 z (/.f64 y t)))
(fma.f64 -1/2 (*.f64 y (/.f64 z (/.f64 t z))) (*.f64 (/.f64 y t) (-.f64 (*.f64 -1/6 (pow.f64 z 3)) z)))
(*.f64 (/.f64 y t) (-.f64 (*.f64 (*.f64 z z) (+.f64 -1/2 (*.f64 z -1/6))) z))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 y (pow.f64 z 2)) t)) (+.f64 (*.f64 -1/24 (/.f64 (*.f64 y (pow.f64 z 4)) t)) (*.f64 -1/6 (/.f64 (*.f64 y (pow.f64 z 3)) t)))))
(fma.f64 -1 (/.f64 (*.f64 y z) t) (fma.f64 -1/2 (/.f64 (*.f64 y (*.f64 z z)) t) (fma.f64 -1/24 (/.f64 (*.f64 y (pow.f64 z 4)) t) (*.f64 -1/6 (/.f64 (*.f64 y (pow.f64 z 3)) t)))))
(-.f64 (fma.f64 -1/2 (/.f64 (*.f64 z z) (/.f64 t y)) (fma.f64 -1/6 (/.f64 (pow.f64 z 3) (/.f64 t y)) (*.f64 -1/24 (/.f64 (pow.f64 z 4) (/.f64 t y))))) (/.f64 z (/.f64 t y)))
(-.f64 (fma.f64 -1/2 (*.f64 (*.f64 z z) (/.f64 y t)) (fma.f64 -1/6 (*.f64 (pow.f64 z 3) (/.f64 y t)) (*.f64 -1/24 (*.f64 (pow.f64 z 4) (/.f64 y t))))) (*.f64 z (/.f64 y t)))
(+.f64 (*.f64 (/.f64 y t) (-.f64 (*.f64 -1/2 (*.f64 z z)) z)) (*.f64 (/.f64 y t) (+.f64 (*.f64 -1/6 (pow.f64 z 3)) (*.f64 -1/24 (pow.f64 z 4)))))
(*.f64 (/.f64 y t) (+.f64 (fma.f64 z (*.f64 z -1/2) (neg.f64 z)) (*.f64 (pow.f64 z 3) (+.f64 -1/6 (*.f64 z -1/24)))))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(neg.f64 (/.f64 (expm1.f64 z) (/.f64 t y)))
(neg.f64 (*.f64 (/.f64 (expm1.f64 z) t) y))
(*.f64 (/.f64 (expm1.f64 z) t) (neg.f64 y))
(*.f64 (neg.f64 y) (/.f64 (expm1.f64 z) t))
(*.f64 (expm1.f64 z) (/.f64 (neg.f64 y) t))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(neg.f64 (/.f64 (expm1.f64 z) (/.f64 t y)))
(neg.f64 (*.f64 (/.f64 (expm1.f64 z) t) y))
(*.f64 (/.f64 (expm1.f64 z) t) (neg.f64 y))
(*.f64 (neg.f64 y) (/.f64 (expm1.f64 z) t))
(*.f64 (expm1.f64 z) (/.f64 (neg.f64 y) t))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(neg.f64 (/.f64 (expm1.f64 z) (/.f64 t y)))
(neg.f64 (*.f64 (/.f64 (expm1.f64 z) t) y))
(*.f64 (/.f64 (expm1.f64 z) t) (neg.f64 y))
(*.f64 (neg.f64 y) (/.f64 (expm1.f64 z) t))
(*.f64 (expm1.f64 z) (/.f64 (neg.f64 y) t))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(neg.f64 (/.f64 (expm1.f64 z) (/.f64 t y)))
(neg.f64 (*.f64 (/.f64 (expm1.f64 z) t) y))
(*.f64 (/.f64 (expm1.f64 z) t) (neg.f64 y))
(*.f64 (neg.f64 y) (/.f64 (expm1.f64 z) t))
(*.f64 (expm1.f64 z) (/.f64 (neg.f64 y) t))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(neg.f64 (/.f64 (expm1.f64 z) (/.f64 t y)))
(neg.f64 (*.f64 (/.f64 (expm1.f64 z) t) y))
(*.f64 (/.f64 (expm1.f64 z) t) (neg.f64 y))
(*.f64 (neg.f64 y) (/.f64 (expm1.f64 z) t))
(*.f64 (expm1.f64 z) (/.f64 (neg.f64 y) t))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(neg.f64 (/.f64 (expm1.f64 z) (/.f64 t y)))
(neg.f64 (*.f64 (/.f64 (expm1.f64 z) t) y))
(*.f64 (/.f64 (expm1.f64 z) t) (neg.f64 y))
(*.f64 (neg.f64 y) (/.f64 (expm1.f64 z) t))
(*.f64 (expm1.f64 z) (/.f64 (neg.f64 y) t))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(neg.f64 (/.f64 (expm1.f64 z) (/.f64 t y)))
(neg.f64 (*.f64 (/.f64 (expm1.f64 z) t) y))
(*.f64 (/.f64 (expm1.f64 z) t) (neg.f64 y))
(*.f64 (neg.f64 y) (/.f64 (expm1.f64 z) t))
(*.f64 (expm1.f64 z) (/.f64 (neg.f64 y) t))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(neg.f64 (/.f64 (expm1.f64 z) (/.f64 t y)))
(neg.f64 (*.f64 (/.f64 (expm1.f64 z) t) y))
(*.f64 (/.f64 (expm1.f64 z) t) (neg.f64 y))
(*.f64 (neg.f64 y) (/.f64 (expm1.f64 z) t))
(*.f64 (expm1.f64 z) (/.f64 (neg.f64 y) t))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(neg.f64 (/.f64 (expm1.f64 z) (/.f64 t y)))
(neg.f64 (*.f64 (/.f64 (expm1.f64 z) t) y))
(*.f64 (/.f64 (expm1.f64 z) t) (neg.f64 y))
(*.f64 (neg.f64 y) (/.f64 (expm1.f64 z) t))
(*.f64 (expm1.f64 z) (/.f64 (neg.f64 y) t))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(neg.f64 (/.f64 (expm1.f64 z) (/.f64 t y)))
(neg.f64 (*.f64 (/.f64 (expm1.f64 z) t) y))
(*.f64 (/.f64 (expm1.f64 z) t) (neg.f64 y))
(*.f64 (neg.f64 y) (/.f64 (expm1.f64 z) t))
(*.f64 (expm1.f64 z) (/.f64 (neg.f64 y) t))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(neg.f64 (/.f64 (expm1.f64 z) (/.f64 t y)))
(neg.f64 (*.f64 (/.f64 (expm1.f64 z) t) y))
(*.f64 (/.f64 (expm1.f64 z) t) (neg.f64 y))
(*.f64 (neg.f64 y) (/.f64 (expm1.f64 z) t))
(*.f64 (expm1.f64 z) (/.f64 (neg.f64 y) t))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(neg.f64 (/.f64 (expm1.f64 z) (/.f64 t y)))
(neg.f64 (*.f64 (/.f64 (expm1.f64 z) t) y))
(*.f64 (/.f64 (expm1.f64 z) t) (neg.f64 y))
(*.f64 (neg.f64 y) (/.f64 (expm1.f64 z) t))
(*.f64 (expm1.f64 z) (/.f64 (neg.f64 y) t))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(neg.f64 (/.f64 (expm1.f64 z) (/.f64 t y)))
(neg.f64 (*.f64 (/.f64 (expm1.f64 z) t) y))
(*.f64 (/.f64 (expm1.f64 z) t) (neg.f64 y))
(*.f64 (neg.f64 y) (/.f64 (expm1.f64 z) t))
(*.f64 (expm1.f64 z) (/.f64 (neg.f64 y) t))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(neg.f64 (/.f64 (expm1.f64 z) (/.f64 t y)))
(neg.f64 (*.f64 (/.f64 (expm1.f64 z) t) y))
(*.f64 (/.f64 (expm1.f64 z) t) (neg.f64 y))
(*.f64 (neg.f64 y) (/.f64 (expm1.f64 z) t))
(*.f64 (expm1.f64 z) (/.f64 (neg.f64 y) t))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(neg.f64 (/.f64 (expm1.f64 z) (/.f64 t y)))
(neg.f64 (*.f64 (/.f64 (expm1.f64 z) t) y))
(*.f64 (/.f64 (expm1.f64 z) t) (neg.f64 y))
(*.f64 (neg.f64 y) (/.f64 (expm1.f64 z) t))
(*.f64 (expm1.f64 z) (/.f64 (neg.f64 y) t))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(neg.f64 (/.f64 (expm1.f64 z) (/.f64 t y)))
(neg.f64 (*.f64 (/.f64 (expm1.f64 z) t) y))
(*.f64 (/.f64 (expm1.f64 z) t) (neg.f64 y))
(*.f64 (neg.f64 y) (/.f64 (expm1.f64 z) t))
(*.f64 (expm1.f64 z) (/.f64 (neg.f64 y) t))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(neg.f64 (/.f64 (expm1.f64 z) (/.f64 t y)))
(neg.f64 (*.f64 (/.f64 (expm1.f64 z) t) y))
(*.f64 (/.f64 (expm1.f64 z) t) (neg.f64 y))
(*.f64 (neg.f64 y) (/.f64 (expm1.f64 z) t))
(*.f64 (expm1.f64 z) (/.f64 (neg.f64 y) t))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(neg.f64 (/.f64 (expm1.f64 z) (/.f64 t y)))
(neg.f64 (*.f64 (/.f64 (expm1.f64 z) t) y))
(*.f64 (/.f64 (expm1.f64 z) t) (neg.f64 y))
(*.f64 (neg.f64 y) (/.f64 (expm1.f64 z) t))
(*.f64 (expm1.f64 z) (/.f64 (neg.f64 y) t))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(neg.f64 (/.f64 (expm1.f64 z) (/.f64 t y)))
(neg.f64 (*.f64 (/.f64 (expm1.f64 z) t) y))
(*.f64 (/.f64 (expm1.f64 z) t) (neg.f64 y))
(*.f64 (neg.f64 y) (/.f64 (expm1.f64 z) t))
(*.f64 (expm1.f64 z) (/.f64 (neg.f64 y) t))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(neg.f64 (/.f64 (expm1.f64 z) (/.f64 t y)))
(neg.f64 (*.f64 (/.f64 (expm1.f64 z) t) y))
(*.f64 (/.f64 (expm1.f64 z) t) (neg.f64 y))
(*.f64 (neg.f64 y) (/.f64 (expm1.f64 z) t))
(*.f64 (expm1.f64 z) (/.f64 (neg.f64 y) t))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(neg.f64 (/.f64 (expm1.f64 z) (/.f64 t y)))
(neg.f64 (*.f64 (/.f64 (expm1.f64 z) t) y))
(*.f64 (/.f64 (expm1.f64 z) t) (neg.f64 y))
(*.f64 (neg.f64 y) (/.f64 (expm1.f64 z) t))
(*.f64 (expm1.f64 z) (/.f64 (neg.f64 y) t))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(neg.f64 (/.f64 (expm1.f64 z) (/.f64 t y)))
(neg.f64 (*.f64 (/.f64 (expm1.f64 z) t) y))
(*.f64 (/.f64 (expm1.f64 z) t) (neg.f64 y))
(*.f64 (neg.f64 y) (/.f64 (expm1.f64 z) t))
(*.f64 (expm1.f64 z) (/.f64 (neg.f64 y) t))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(neg.f64 (/.f64 (expm1.f64 z) (/.f64 t y)))
(neg.f64 (*.f64 (/.f64 (expm1.f64 z) t) y))
(*.f64 (/.f64 (expm1.f64 z) t) (neg.f64 y))
(*.f64 (neg.f64 y) (/.f64 (expm1.f64 z) t))
(*.f64 (expm1.f64 z) (/.f64 (neg.f64 y) t))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(neg.f64 (/.f64 (expm1.f64 z) (/.f64 t y)))
(neg.f64 (*.f64 (/.f64 (expm1.f64 z) t) y))
(*.f64 (/.f64 (expm1.f64 z) t) (neg.f64 y))
(*.f64 (neg.f64 y) (/.f64 (expm1.f64 z) t))
(*.f64 (expm1.f64 z) (/.f64 (neg.f64 y) t))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(neg.f64 (/.f64 (expm1.f64 z) (/.f64 t y)))
(neg.f64 (*.f64 (/.f64 (expm1.f64 z) t) y))
(*.f64 (/.f64 (expm1.f64 z) t) (neg.f64 y))
(*.f64 (neg.f64 y) (/.f64 (expm1.f64 z) t))
(*.f64 (expm1.f64 z) (/.f64 (neg.f64 y) t))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(neg.f64 (/.f64 (expm1.f64 z) (/.f64 t y)))
(neg.f64 (*.f64 (/.f64 (expm1.f64 z) t) y))
(*.f64 (/.f64 (expm1.f64 z) t) (neg.f64 y))
(*.f64 (neg.f64 y) (/.f64 (expm1.f64 z) t))
(*.f64 (expm1.f64 z) (/.f64 (neg.f64 y) t))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(neg.f64 (/.f64 (expm1.f64 z) (/.f64 t y)))
(neg.f64 (*.f64 (/.f64 (expm1.f64 z) t) y))
(*.f64 (/.f64 (expm1.f64 z) t) (neg.f64 y))
(*.f64 (neg.f64 y) (/.f64 (expm1.f64 z) t))
(*.f64 (expm1.f64 z) (/.f64 (neg.f64 y) t))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(neg.f64 (/.f64 (expm1.f64 z) (/.f64 t y)))
(neg.f64 (*.f64 (/.f64 (expm1.f64 z) t) y))
(*.f64 (/.f64 (expm1.f64 z) t) (neg.f64 y))
(*.f64 (neg.f64 y) (/.f64 (expm1.f64 z) t))
(*.f64 (expm1.f64 z) (/.f64 (neg.f64 y) t))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(neg.f64 (/.f64 (expm1.f64 z) (/.f64 t y)))
(neg.f64 (*.f64 (/.f64 (expm1.f64 z) t) y))
(*.f64 (/.f64 (expm1.f64 z) t) (neg.f64 y))
(*.f64 (neg.f64 y) (/.f64 (expm1.f64 z) t))
(*.f64 (expm1.f64 z) (/.f64 (neg.f64 y) t))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(neg.f64 (/.f64 (expm1.f64 z) (/.f64 t y)))
(neg.f64 (*.f64 (/.f64 (expm1.f64 z) t) y))
(*.f64 (/.f64 (expm1.f64 z) t) (neg.f64 y))
(*.f64 (neg.f64 y) (/.f64 (expm1.f64 z) t))
(*.f64 (expm1.f64 z) (/.f64 (neg.f64 y) t))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(neg.f64 (/.f64 (expm1.f64 z) (/.f64 t y)))
(neg.f64 (*.f64 (/.f64 (expm1.f64 z) t) y))
(*.f64 (/.f64 (expm1.f64 z) t) (neg.f64 y))
(*.f64 (neg.f64 y) (/.f64 (expm1.f64 z) t))
(*.f64 (expm1.f64 z) (/.f64 (neg.f64 y) t))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(neg.f64 (/.f64 (expm1.f64 z) (/.f64 t y)))
(neg.f64 (*.f64 (/.f64 (expm1.f64 z) t) y))
(*.f64 (/.f64 (expm1.f64 z) t) (neg.f64 y))
(*.f64 (neg.f64 y) (/.f64 (expm1.f64 z) t))
(*.f64 (expm1.f64 z) (/.f64 (neg.f64 y) t))

localize12.0ms (0%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(-.f64 x (/.f64 (log1p.f64 (*.f64 z y)) t))
✓3.6b
(log1p.f64 (*.f64 z y))
✓4.3b
(/.f64 (log1p.f64 (*.f64 z y)) t)
Compiler

Compiled 29 to 8 computations (72.4% saved)

series38.0ms (0.2%)

Counts
3 → 108
Calls

27 calls:

TimeVariablePointExpression
13.0ms
t
@0
(/.f64 (log1p.f64 (*.f64 z y)) t)
8.0ms
t
@inf
(/.f64 (log1p.f64 (*.f64 z y)) t)
2.0ms
x
@0
(-.f64 x (/.f64 (log1p.f64 (*.f64 z y)) t))
1.0ms
z
@inf
(/.f64 (log1p.f64 (*.f64 z y)) t)
1.0ms
z
@-inf
(/.f64 (log1p.f64 (*.f64 z y)) t)

rewrite108.0ms (0.4%)

Algorithm
1×batch-egg-rewrite
Rules
727×prod-diff_binary64
509×log-prod_binary64
314×pow-prod-down_binary64
266×pow2_binary64
223×fma-def_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0927
119227
2266827
Stop Event
1×node limit
Counts
3 → 213
Calls
Call 1
Inputs
(/.f64 (log1p.f64 (*.f64 z y)) t)
(log1p.f64 (*.f64 z y))
(-.f64 x (/.f64 (log1p.f64 (*.f64 z y)) t))
Outputs
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simplify113.0ms (0.5%)

Algorithm
1×egg-herbie
Rules
524×associate-+l+_binary64
492×fma-def_binary64
334×+-commutative_binary64
328×associate-/r*_binary64
326×associate-*l*_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01792850
15762692
219232596
374992596
Stop Event
1×node limit
Counts
321 → 325
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 (*.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 (*.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 (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 (*.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)))))
(*.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 -1 (/.f64 (log.f64 (+.f64 (*.f64 y z) 1)) t))
(+.f64 (*.f64 -1 (/.f64 (log.f64 (+.f64 (*.f64 y z) 1)) t)) x)
(+.f64 (*.f64 -1 (/.f64 (log.f64 (+.f64 (*.f64 y z) 1)) t)) x)
(+.f64 (*.f64 -1 (/.f64 (log.f64 (+.f64 (*.f64 y z) 1)) t)) x)
x
(+.f64 (*.f64 -1 (/.f64 (log.f64 (+.f64 (*.f64 y z) 1)) t)) x)
(+.f64 (*.f64 -1 (/.f64 (log.f64 (+.f64 (*.f64 y z) 1)) t)) x)
(+.f64 (*.f64 -1 (/.f64 (log.f64 (+.f64 (*.f64 y z) 1)) t)) x)
x
(+.f64 (*.f64 -1 (/.f64 (log.f64 (+.f64 (*.f64 y z) 1)) t)) x)
(+.f64 (*.f64 -1 (/.f64 (log.f64 (+.f64 (*.f64 y z) 1)) t)) x)
(+.f64 (*.f64 -1 (/.f64 (log.f64 (+.f64 (*.f64 y z) 1)) 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 (pow.f64 y 2) (pow.f64 z 2)) t)) x))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) (+.f64 (*.f64 -1/3 (/.f64 (*.f64 (pow.f64 y 3) (pow.f64 z 3)) t)) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 y 2) (pow.f64 z 2)) t)) x)))
(-.f64 x (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 z)) t)) (/.f64 (log.f64 y) t)))
(-.f64 x (+.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 1/2 (/.f64 1 (*.f64 (pow.f64 y 2) (*.f64 t (pow.f64 z 2))))) x) (+.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 1/2 (/.f64 1 (*.f64 (pow.f64 y 2) (*.f64 t (pow.f64 z 2))))) x) (+.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 x (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 z)) t)) (/.f64 (log.f64 (*.f64 -1 y)) t)))
(-.f64 x (+.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 1/2 (/.f64 1 (*.f64 (pow.f64 y 2) (*.f64 t (pow.f64 z 2))))) x) (+.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 1/2 (/.f64 1 (*.f64 (pow.f64 y 2) (*.f64 t (pow.f64 z 2))))) x) (+.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)))))
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 y 2) (pow.f64 z 2)) t)) x))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) (+.f64 (*.f64 -1/3 (/.f64 (*.f64 (pow.f64 y 3) (pow.f64 z 3)) t)) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 y 2) (pow.f64 z 2)) t)) x)))
(-.f64 x (+.f64 (/.f64 (log.f64 z) t) (*.f64 -1 (/.f64 (log.f64 (/.f64 1 y)) t))))
(-.f64 x (+.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 1/2 (/.f64 1 (*.f64 (pow.f64 y 2) (*.f64 t (pow.f64 z 2))))) x) (+.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 1/2 (/.f64 1 (*.f64 (pow.f64 y 2) (*.f64 t (pow.f64 z 2))))) x) (+.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 x (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 y)) t)) (/.f64 (log.f64 (*.f64 -1 z)) t)))
(-.f64 x (+.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 1/2 (/.f64 1 (*.f64 (pow.f64 y 2) (*.f64 t (pow.f64 z 2))))) x) (+.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 1/2 (/.f64 1 (*.f64 (pow.f64 y 2) (*.f64 t (pow.f64 z 2))))) x) (+.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 (/.f64 (log.f64 (+.f64 (*.f64 y z) 1)) t))
(+.f64 (*.f64 -1 (/.f64 (log.f64 (+.f64 (*.f64 y z) 1)) t)) x)
(+.f64 (*.f64 -1 (/.f64 (log.f64 (+.f64 (*.f64 y z) 1)) t)) x)
(+.f64 (*.f64 -1 (/.f64 (log.f64 (+.f64 (*.f64 y z) 1)) t)) x)
x
(+.f64 (*.f64 -1 (/.f64 (log.f64 (+.f64 (*.f64 y z) 1)) t)) x)
(+.f64 (*.f64 -1 (/.f64 (log.f64 (+.f64 (*.f64 y z) 1)) t)) x)
(+.f64 (*.f64 -1 (/.f64 (log.f64 (+.f64 (*.f64 y z) 1)) t)) x)
x
(+.f64 (*.f64 -1 (/.f64 (log.f64 (+.f64 (*.f64 y z) 1)) t)) x)
(+.f64 (*.f64 -1 (/.f64 (log.f64 (+.f64 (*.f64 y z) 1)) t)) x)
(+.f64 (*.f64 -1 (/.f64 (log.f64 (+.f64 (*.f64 y z) 1)) t)) x)
Outputs
(/.f64 (*.f64 y z) t)
(/.f64 y (/.f64 t z))
(*.f64 (/.f64 y 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 (/.f64 y t) z))
(fma.f64 -1/2 (/.f64 (*.f64 y (*.f64 y z)) (/.f64 t z)) (*.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 1/3 (/.f64 (*.f64 (pow.f64 y 3) (pow.f64 z 3)) t))))
(+.f64 (*.f64 (/.f64 y 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 -1/2 (/.f64 (*.f64 y (*.f64 y z)) (/.f64 t z)) (fma.f64 1/3 (*.f64 (pow.f64 z 3) (/.f64 (pow.f64 y 3) t)) (*.f64 z (/.f64 y 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)))))
(fma.f64 -1/4 (/.f64 (pow.f64 y 4) (/.f64 t (pow.f64 z 4))) (+.f64 (/.f64 y (/.f64 t z)) (fma.f64 -1/2 (/.f64 (*.f64 y y) (/.f64 t (*.f64 z z))) (*.f64 1/3 (/.f64 (*.f64 (pow.f64 y 3) (pow.f64 z 3)) t)))))
(+.f64 (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 -1/4 (*.f64 (/.f64 (pow.f64 y 4) t) (pow.f64 z 4)) (*.f64 (/.f64 y t) z)))
(fma.f64 -1/4 (*.f64 (pow.f64 z 4) (/.f64 (pow.f64 y 4) t)) (fma.f64 -1/2 (/.f64 (*.f64 y (*.f64 y z)) (/.f64 t z)) (fma.f64 1/3 (*.f64 (pow.f64 z 3) (/.f64 (pow.f64 y 3) t)) (*.f64 z (/.f64 y t)))))
(/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 z))) (log.f64 y)) t)
(/.f64 (fma.f64 -1 (neg.f64 (log.f64 z)) (log.f64 y)) t)
(/.f64 (+.f64 (log.f64 y) (log.f64 z)) 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 1 (*.f64 (*.f64 y t) z)) (fma.f64 -1 (/.f64 (neg.f64 (log.f64 z)) t) (/.f64 (log.f64 y) t)))
(+.f64 (+.f64 (/.f64 (/.f64 1 y) (*.f64 z t)) (/.f64 (log.f64 y) t)) (/.f64 (log.f64 z) t))
(+.f64 (/.f64 (/.f64 1 z) (*.f64 y t)) (/.f64 (+.f64 (log.f64 y) (log.f64 z)) 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 1 (*.f64 (*.f64 y t) z)) (-.f64 (fma.f64 -1 (/.f64 (neg.f64 (log.f64 z)) t) (/.f64 (log.f64 y) t)) (/.f64 1/2 (*.f64 (*.f64 y y) (*.f64 t (*.f64 z z))))))
(+.f64 (+.f64 (/.f64 (log.f64 y) t) (/.f64 (log.f64 z) t)) (-.f64 (/.f64 (/.f64 1 y) (*.f64 z t)) (/.f64 1/2 (*.f64 y (*.f64 y (*.f64 t (*.f64 z z)))))))
(+.f64 (/.f64 (/.f64 1 z) (*.f64 y t)) (+.f64 (/.f64 (+.f64 (log.f64 y) (log.f64 z)) t) (/.f64 -1/2 (*.f64 y (*.f64 (*.f64 y z) (*.f64 z t))))))
(-.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 1 (*.f64 (*.f64 y t) z)) (-.f64 (+.f64 (fma.f64 -1 (/.f64 (neg.f64 (log.f64 z)) t) (/.f64 (log.f64 y) t)) (/.f64 1/3 (*.f64 (pow.f64 y 3) (*.f64 t (pow.f64 z 3))))) (/.f64 1/2 (*.f64 (*.f64 y y) (*.f64 t (*.f64 z z))))))
(+.f64 (+.f64 (/.f64 (log.f64 y) t) (+.f64 (/.f64 (log.f64 z) t) (/.f64 1/3 (*.f64 t (*.f64 (pow.f64 y 3) (pow.f64 z 3)))))) (-.f64 (/.f64 (/.f64 1 y) (*.f64 z t)) (/.f64 1/2 (*.f64 y (*.f64 y (*.f64 t (*.f64 z z)))))))
(+.f64 (/.f64 1/3 (*.f64 (pow.f64 z 3) (*.f64 t (pow.f64 y 3)))) (+.f64 (/.f64 (/.f64 1 z) (*.f64 y t)) (+.f64 (/.f64 (+.f64 (log.f64 y) (log.f64 z)) t) (/.f64 -1/2 (*.f64 y (*.f64 (*.f64 y z) (*.f64 z t)))))))
(/.f64 (+.f64 (log.f64 (*.f64 -1 y)) (*.f64 -1 (log.f64 (/.f64 -1 z)))) t)
(/.f64 (+.f64 (log.f64 (neg.f64 y)) (neg.f64 (log.f64 (/.f64 -1 z)))) t)
(/.f64 (-.f64 (log.f64 (neg.f64 y)) (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 1 (*.f64 (*.f64 y t) z)) (fma.f64 -1 (/.f64 (log.f64 (/.f64 -1 z)) t) (/.f64 (log.f64 (neg.f64 y)) t)))
(+.f64 (/.f64 (/.f64 1 y) (*.f64 z t)) (-.f64 (/.f64 (log.f64 (neg.f64 y)) t) (/.f64 (log.f64 (/.f64 -1 z)) t)))
(+.f64 (/.f64 (/.f64 1 z) (*.f64 y t)) (/.f64 (-.f64 (log.f64 (neg.f64 y)) (log.f64 (/.f64 -1 z))) 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 1 (*.f64 (*.f64 y t) z)) (-.f64 (fma.f64 -1 (/.f64 (log.f64 (/.f64 -1 z)) t) (/.f64 (log.f64 (neg.f64 y)) t)) (/.f64 1/2 (*.f64 (*.f64 y y) (*.f64 t (*.f64 z z))))))
(+.f64 (/.f64 (/.f64 1 y) (*.f64 z t)) (+.f64 (-.f64 (/.f64 (log.f64 (neg.f64 y)) t) (/.f64 (log.f64 (/.f64 -1 z)) t)) (/.f64 -1/2 (*.f64 y (*.f64 y (*.f64 t (*.f64 z z)))))))
(+.f64 (/.f64 (-.f64 (log.f64 (neg.f64 y)) (log.f64 (/.f64 -1 z))) t) (+.f64 (/.f64 (/.f64 1 z) (*.f64 y t)) (/.f64 -1/2 (*.f64 y (*.f64 (*.f64 y z) (*.f64 z t))))))
(-.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 (+.f64 (/.f64 1 (*.f64 (*.f64 y t) z)) (fma.f64 -1 (/.f64 (log.f64 (/.f64 -1 z)) t) (+.f64 (/.f64 1/3 (*.f64 (pow.f64 y 3) (*.f64 t (pow.f64 z 3)))) (/.f64 (log.f64 (neg.f64 y)) t)))) (/.f64 1/2 (*.f64 (*.f64 y y) (*.f64 t (*.f64 z z)))))
(+.f64 (+.f64 (/.f64 1/3 (*.f64 t (*.f64 (pow.f64 y 3) (pow.f64 z 3)))) (-.f64 (/.f64 (log.f64 (neg.f64 y)) t) (/.f64 (log.f64 (/.f64 -1 z)) t))) (-.f64 (/.f64 (/.f64 1 y) (*.f64 z t)) (/.f64 1/2 (*.f64 y (*.f64 y (*.f64 t (*.f64 z z)))))))
(+.f64 (/.f64 1/3 (*.f64 (pow.f64 z 3) (*.f64 t (pow.f64 y 3)))) (+.f64 (/.f64 (-.f64 (log.f64 (neg.f64 y)) (log.f64 (/.f64 -1 z))) t) (+.f64 (/.f64 (/.f64 1 z) (*.f64 y t)) (/.f64 -1/2 (*.f64 y (*.f64 (*.f64 y z) (*.f64 z t)))))))
(/.f64 (*.f64 y z) t)
(/.f64 y (/.f64 t z))
(*.f64 (/.f64 y 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)))
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(+.f64 (/.f64 1/2 (*.f64 y (*.f64 y (*.f64 t (*.f64 z z))))) (-.f64 x (+.f64 (+.f64 (+.f64 (/.f64 (/.f64 1 y) (*.f64 z t)) (/.f64 (log.f64 y) t)) (/.f64 (log.f64 z) t)) (/.f64 1/3 (*.f64 t (*.f64 (pow.f64 y 3) (pow.f64 z 3)))))))
(-.f64 (+.f64 x (-.f64 (/.f64 1/2 (*.f64 y (*.f64 (*.f64 y z) (*.f64 z t)))) (/.f64 (/.f64 1 z) (*.f64 y t)))) (+.f64 (/.f64 1/3 (*.f64 (pow.f64 z 3) (*.f64 t (pow.f64 y 3)))) (/.f64 (+.f64 (log.f64 y) (log.f64 z)) t)))
(-.f64 x (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 y)) t)) (/.f64 (log.f64 (*.f64 -1 z)) t)))
(-.f64 x (fma.f64 -1 (/.f64 (log.f64 (/.f64 -1 y)) t) (/.f64 (log.f64 (neg.f64 z)) t)))
(-.f64 x (-.f64 (/.f64 (log.f64 (neg.f64 z)) t) (/.f64 (log.f64 (/.f64 -1 y)) t)))
(-.f64 x (/.f64 (-.f64 (log.f64 (neg.f64 z)) (log.f64 (/.f64 -1 y))) t))
(-.f64 x (+.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 x (+.f64 (/.f64 1 (*.f64 (*.f64 y t) z)) (fma.f64 -1 (/.f64 (log.f64 (/.f64 -1 y)) t) (/.f64 (log.f64 (neg.f64 z)) t))))
(-.f64 (-.f64 x (-.f64 (/.f64 (/.f64 1 y) (*.f64 z t)) (/.f64 (log.f64 (/.f64 -1 y)) t))) (/.f64 (log.f64 (neg.f64 z)) t))
(-.f64 (+.f64 x (/.f64 -1 (*.f64 y (*.f64 z t)))) (/.f64 (-.f64 (log.f64 (neg.f64 z)) (log.f64 (/.f64 -1 y))) t))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 y 2) (*.f64 t (pow.f64 z 2))))) x) (+.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 1/2 (*.f64 (*.f64 y y) (*.f64 t (*.f64 z z)))) (-.f64 x (+.f64 (/.f64 1 (*.f64 (*.f64 y t) z)) (fma.f64 -1 (/.f64 (log.f64 (/.f64 -1 y)) t) (/.f64 (log.f64 (neg.f64 z)) t)))))
(+.f64 (/.f64 1/2 (*.f64 y (*.f64 y (*.f64 t (*.f64 z z))))) (-.f64 (-.f64 x (-.f64 (/.f64 (/.f64 1 y) (*.f64 z t)) (/.f64 (log.f64 (/.f64 -1 y)) t))) (/.f64 (log.f64 (neg.f64 z)) t)))
(+.f64 x (-.f64 (-.f64 (/.f64 1/2 (*.f64 y (*.f64 (*.f64 y z) (*.f64 z t)))) (/.f64 (/.f64 1 z) (*.f64 y t))) (/.f64 (-.f64 (log.f64 (neg.f64 z)) (log.f64 (/.f64 -1 y))) t)))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 y 2) (*.f64 t (pow.f64 z 2))))) x) (+.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 (+.f64 (/.f64 1/2 (*.f64 (*.f64 y y) (*.f64 t (*.f64 z z)))) x) (+.f64 (/.f64 1 (*.f64 (*.f64 y t) z)) (+.f64 (fma.f64 -1 (/.f64 (log.f64 (/.f64 -1 y)) t) (/.f64 (log.f64 (neg.f64 z)) t)) (/.f64 1/3 (*.f64 (pow.f64 y 3) (*.f64 t (pow.f64 z 3)))))))
(+.f64 x (-.f64 (/.f64 1/2 (*.f64 y (*.f64 y (*.f64 t (*.f64 z z))))) (+.f64 (-.f64 (/.f64 (log.f64 (neg.f64 z)) t) (/.f64 (log.f64 (/.f64 -1 y)) t)) (+.f64 (/.f64 1/3 (*.f64 t (*.f64 (pow.f64 y 3) (pow.f64 z 3)))) (/.f64 (/.f64 1 y) (*.f64 z t))))))
(+.f64 (/.f64 1/2 (*.f64 y (*.f64 (*.f64 y z) (*.f64 z t)))) (-.f64 x (+.f64 (/.f64 (-.f64 (log.f64 (neg.f64 z)) (log.f64 (/.f64 -1 y))) t) (+.f64 (/.f64 (/.f64 1 z) (*.f64 y t)) (/.f64 1/3 (*.f64 (pow.f64 z 3) (*.f64 t (pow.f64 y 3))))))))
(*.f64 -1 (/.f64 (log.f64 (+.f64 (*.f64 y z) 1)) t))
(neg.f64 (/.f64 (log.f64 (fma.f64 y z 1)) t))
(/.f64 (neg.f64 (log1p.f64 (*.f64 y z))) t)
(+.f64 (*.f64 -1 (/.f64 (log.f64 (+.f64 (*.f64 y z) 1)) t)) x)
(fma.f64 -1 (/.f64 (log.f64 (fma.f64 y z 1)) t) x)
(-.f64 x (/.f64 (log1p.f64 (*.f64 y z)) t))
(+.f64 (*.f64 -1 (/.f64 (log.f64 (+.f64 (*.f64 y z) 1)) t)) x)
(fma.f64 -1 (/.f64 (log.f64 (fma.f64 y z 1)) t) x)
(-.f64 x (/.f64 (log1p.f64 (*.f64 y z)) t))
(+.f64 (*.f64 -1 (/.f64 (log.f64 (+.f64 (*.f64 y z) 1)) t)) x)
(fma.f64 -1 (/.f64 (log.f64 (fma.f64 y z 1)) t) x)
(-.f64 x (/.f64 (log1p.f64 (*.f64 y z)) t))
x
(+.f64 (*.f64 -1 (/.f64 (log.f64 (+.f64 (*.f64 y z) 1)) t)) x)
(fma.f64 -1 (/.f64 (log.f64 (fma.f64 y z 1)) t) x)
(-.f64 x (/.f64 (log1p.f64 (*.f64 y z)) t))
(+.f64 (*.f64 -1 (/.f64 (log.f64 (+.f64 (*.f64 y z) 1)) t)) x)
(fma.f64 -1 (/.f64 (log.f64 (fma.f64 y z 1)) t) x)
(-.f64 x (/.f64 (log1p.f64 (*.f64 y z)) t))
(+.f64 (*.f64 -1 (/.f64 (log.f64 (+.f64 (*.f64 y z) 1)) t)) x)
(fma.f64 -1 (/.f64 (log.f64 (fma.f64 y z 1)) t) x)
(-.f64 x (/.f64 (log1p.f64 (*.f64 y z)) t))
x
(+.f64 (*.f64 -1 (/.f64 (log.f64 (+.f64 (*.f64 y z) 1)) t)) x)
(fma.f64 -1 (/.f64 (log.f64 (fma.f64 y z 1)) t) x)
(-.f64 x (/.f64 (log1p.f64 (*.f64 y z)) t))
(+.f64 (*.f64 -1 (/.f64 (log.f64 (+.f64 (*.f64 y z) 1)) t)) x)
(fma.f64 -1 (/.f64 (log.f64 (fma.f64 y z 1)) t) x)
(-.f64 x (/.f64 (log1p.f64 (*.f64 y z)) t))
(+.f64 (*.f64 -1 (/.f64 (log.f64 (+.f64 (*.f64 y z) 1)) t)) x)
(fma.f64 -1 (/.f64 (log.f64 (fma.f64 y z 1)) t) x)
(-.f64 x (/.f64 (log1p.f64 (*.f64 y z)) t))

eval805.0ms (3.3%)

Compiler

Compiled 26699 to 12880 computations (51.8% saved)

prune366.0ms (1.5%)

Pruning

26 alts after pruning (19 fresh and 7 done)

PrunedKeptTotal
New90211913
Fresh3811
Picked011
Done167
Total90626932
Error
0b
Counts
932 → 26
Alt Table
Click to see full alt table
StatusErrorProgram
25.7b
(-.f64 x (*.f64 y (*.f64 z (*.f64 z (/.f64 1/2 t)))))
✓53.3b
(*.f64 (expm1.f64 z) (/.f64 (neg.f64 y) t))
11.6b
(-.f64 x (pow.f64 (/.f64 t (log1p.f64 (*.f64 z y))) -1))
▶9.0b
(-.f64 x (*.f64 (/.f64 (expm1.f64 z) t) y))
✓11.6b
(-.f64 x (/.f64 (log1p.f64 (*.f64 z y)) t))
▶62.2b
(*.f64 y (*.f64 z (/.f64 z (/.f64 t -1/2))))
23.9b
(-.f64 x (*.f64 (/.f64 y t) (-.f64 z (*.f64 (*.f64 z z) (+.f64 -1/2 (*.f64 z -1/6))))))
54.3b
(/.f64 (*.f64 y z) (neg.f64 t))
14.8b
(-.f64 x (*.f64 (/.f64 1 t) (/.f64 z (/.f64 1 y))))
▶5.9b
(-.f64 x (pow.f64 (*.f64 (cbrt.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) -3)) t) -1))
✓15.8b
(-.f64 x (/.f64 z (/.f64 t y)))
17.4b
x
62.2b
(/.f64 (*.f64 y z) t)
✓1.1b
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))
▶62.2b
(/.f64 y (/.f64 t z))
51.6b
(/.f64 (neg.f64 (log1p.f64 (*.f64 y z))) t)
▶22.3b
(-.f64 x (/.f64 (*.f64 z (+.f64 y (*.f64 z (*.f64 -1/2 (*.f64 y y))))) t))
46.6b
(/.f64 (neg.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) t)
14.3b
(-.f64 x (/.f64 y (/.f64 t z)))
53.8b
(*.f64 y (*.f64 (/.f64 z t) (-.f64 -1 (*.f64 z 1/2))))
21.5b
(+.f64 (*.f64 y (-.f64 (*.f64 (*.f64 z z) (+.f64 (/.f64 -1/2 t) (*.f64 z (+.f64 (/.f64 -1/6 t) (/.f64 -1/24 (/.f64 t z)))))) (/.f64 z t))) x)
11.9b
(-.f64 x (pow.f64 (*.f64 (/.f64 1 (log1p.f64 (*.f64 z y))) t) -1))
✓21.9b
(-.f64 x (*.f64 (/.f64 y t) (-.f64 z (*.f64 z (*.f64 z -1/2)))))
✓1.1b
(-.f64 x (*.f64 (/.f64 1 t) (log1p.f64 (*.f64 y (expm1.f64 z)))))
16.5b
(fma.f64 (/.f64 (-.f64 1 (exp.f64 z)) t) y x)
✓53.8b
(*.f64 y (/.f64 (neg.f64 z) t))
Compiler

Compiled 622 to 431 computations (30.7% saved)

localize55.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.3b
(pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) -3)
✓1.0b
(pow.f64 (*.f64 (cbrt.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) -3)) t) -1)
✓4.9b
(*.f64 (cbrt.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) -3)) t)
✓25.8b
(cbrt.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) -3))
Compiler

Compiled 72 to 31 computations (56.9% saved)

series105.0ms (0.4%)

Counts
4 → 120
Calls

30 calls:

TimeVariablePointExpression
36.0ms
y
@inf
(cbrt.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) -3))
12.0ms
y
@inf
(pow.f64 (*.f64 (cbrt.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) -3)) t) -1)
10.0ms
y
@-inf
(pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) -3)
9.0ms
y
@inf
(pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) -3)
9.0ms
z
@0
(pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) -3)

rewrite120.0ms (0.5%)

Algorithm
1×batch-egg-rewrite
Rules
576×log-prod_binary64
348×pow-prod-down_binary64
319×pow2_binary64
237×pow-to-exp_binary64
219×expm1-udef_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01359
126253
2295647
Stop Event
1×node limit
Counts
4 → 125
Calls
Call 1
Inputs
(cbrt.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) -3))
(*.f64 (cbrt.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) -3)) t)
(pow.f64 (*.f64 (cbrt.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) -3)) t) -1)
(pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) -3)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) -1))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) -1)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) -1)) (cbrt.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) -2)) (cbrt.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) -1/2) (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) -3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) -6) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) -9) 1/9)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) -2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 2) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 3) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) -1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) -3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 2) -3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) -3/2) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 -1 (log.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) -3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 -1 (log.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) -1))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) -1/2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) -3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))))) -3/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 1) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) -3)) 1) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) -3)) 1/3) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (*.f64 -1 (log.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) 1) 1))))))
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simplify220.0ms (0.9%)

Algorithm
1×egg-herbie
Rules
637×associate-/r*_binary64
614×fma-def_binary64
477×associate-*l*_binary64
447×distribute-rgt-in_binary64
446×distribute-lft-in_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
06718691
123938109
Stop Event
1×node limit
Counts
245 → 261
Calls
Call 1
Inputs
(/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))
(+.f64 1/2 (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y)))
(+.f64 1/2 (+.f64 (*.f64 -1 (*.f64 y (+.f64 (*.f64 1/3 (-.f64 (exp.f64 z) 1)) (*.f64 -1/4 (-.f64 (exp.f64 z) 1))))) (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))))
(+.f64 1/2 (+.f64 (*.f64 -1 (*.f64 y (+.f64 (*.f64 1/3 (-.f64 (exp.f64 z) 1)) (*.f64 -1/4 (-.f64 (exp.f64 z) 1))))) (+.f64 (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y)) (*.f64 -1 (*.f64 (pow.f64 y 2) (+.f64 (*.f64 1/2 (*.f64 (-.f64 (exp.f64 z) 1) (+.f64 (*.f64 1/3 (-.f64 (exp.f64 z) 1)) (*.f64 -1/4 (-.f64 (exp.f64 z) 1))))) (+.f64 (*.f64 -1/4 (pow.f64 (-.f64 (exp.f64 z) 1) 2)) (*.f64 1/6 (pow.f64 (-.f64 (exp.f64 z) 1) 2)))))))))
(/.f64 1 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))))
(-.f64 (/.f64 1 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y))))) (/.f64 1 (*.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 (/.f64 1 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y))))) (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (*.f64 (pow.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) 2) (pow.f64 y 2))))) (/.f64 1 (*.f64 (pow.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) 3) (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (pow.f64 y 2)))))) (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) (*.f64 (pow.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) 2) y))))
(-.f64 (+.f64 (/.f64 1 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y))))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 3) (pow.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) 4))) (+.f64 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 3) (pow.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) 3))) (*.f64 1/3 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 3) (pow.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) 2)))))) (pow.f64 y 3))) (+.f64 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (*.f64 (pow.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) 3) (pow.f64 y 2)))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (*.f64 (pow.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) 2) (pow.f64 y 2)))))))) (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) (*.f64 (pow.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) 2) y))))
(/.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1)))))
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(-.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) 3)) (+.f64 (*.f64 3/2 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (*.f64 (pow.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) 4) (pow.f64 y 2))))) (*.f64 6 (/.f64 1 (*.f64 (pow.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) 5) (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (pow.f64 y 2))))))) (*.f64 3 (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) (*.f64 (pow.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) 4) y)))))
(-.f64 (+.f64 (*.f64 6 (/.f64 1 (*.f64 (pow.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) 5) (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (pow.f64 y 2))))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 3) (pow.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) 4))) (+.f64 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 3) (pow.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) 3))) (*.f64 1/3 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 3) (pow.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) 2)))))) (*.f64 (pow.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) 2) (pow.f64 y 3)))) (+.f64 (*.f64 -4 (/.f64 (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (pow.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) 2)))) (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (pow.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) 3)))) (*.f64 (pow.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) 3) (*.f64 (-.f64 (exp.f64 z) 1) (pow.f64 y 3))))) (+.f64 (/.f64 1 (pow.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) 3)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 2 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (pow.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) 4)))) (+.f64 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (pow.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) 3))) (/.f64 1 (*.f64 (pow.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) 4) (pow.f64 (-.f64 (exp.f64 z) 1) 2))))) (*.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) (pow.f64 y 3))))) (+.f64 (*.f64 -2 (/.f64 (+.f64 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 3) (pow.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) 3))) (+.f64 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 3) (pow.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) 4))) (*.f64 1/3 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 3) (pow.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) 2)))))) (*.f64 (pow.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) 2) (pow.f64 y 3)))) (*.f64 3/2 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (*.f64 (pow.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) 4) (pow.f64 y 2))))))))))) (*.f64 3 (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) (*.f64 (pow.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) 4) y)))))
(/.f64 1 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1)))) 3))
(-.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1)))) 3)) (*.f64 3 (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) (*.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1)))) 4) y)))))
(-.f64 (+.f64 (*.f64 3/2 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (*.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1)))) 4) (pow.f64 y 2))))) (+.f64 (*.f64 6 (/.f64 1 (*.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1)))) 5) (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (pow.f64 y 2))))) (/.f64 1 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1)))) 3)))) (*.f64 3 (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) (*.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1)))) 4) y)))))
(-.f64 (+.f64 (*.f64 3/2 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (*.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1)))) 4) (pow.f64 y 2))))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (+.f64 (*.f64 3 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 3) (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1)))) 6)))) (+.f64 (*.f64 3 (/.f64 1 (*.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1)))) 5) (pow.f64 (-.f64 (exp.f64 z) 1) 3)))) (+.f64 (*.f64 2/3 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 3) (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1)))) 4)))) (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 3) (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1)))) 5)))) (+.f64 (*.f64 1/3 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 3) (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1)))) 4)))) (+.f64 (*.f64 2 (/.f64 (+.f64 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1)))) 3))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1)))) 2))))) (*.f64 (-.f64 (exp.f64 z) 1) (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1)))) 3)))) (*.f64 2 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 3) (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1)))) 6)))))))))) (+.f64 (*.f64 -2 (/.f64 (+.f64 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1)))) 3))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1)))) 2))))) (*.f64 (-.f64 (exp.f64 z) 1) (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1)))) 3)))) (*.f64 -1 (/.f64 (+.f64 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1)))) 3))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1)))) 2))))) (*.f64 (-.f64 (exp.f64 z) 1) (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1)))) 3)))))) (pow.f64 y 3))) (+.f64 (*.f64 6 (/.f64 1 (*.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1)))) 5) (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (pow.f64 y 2))))) (/.f64 1 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1)))) 3))))) (*.f64 3 (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) (*.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1)))) 4) y)))))
(/.f64 1 (*.f64 (pow.f64 y 3) (pow.f64 z 3)))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (pow.f64 y 2)) y) (*.f64 (pow.f64 y 4) (pow.f64 z 2)))) (+.f64 (/.f64 1 (*.f64 (pow.f64 y 3) (pow.f64 z 3))) (*.f64 -1/2 (/.f64 (+.f64 (*.f64 -1 (pow.f64 y 2)) y) (*.f64 (pow.f64 y 4) (pow.f64 z 2))))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (pow.f64 y 2)) y) (*.f64 (pow.f64 y 4) (pow.f64 z 2)))) (+.f64 (*.f64 -2 (/.f64 (+.f64 (*.f64 1/6 (/.f64 (+.f64 y (+.f64 (*.f64 -3 (pow.f64 y 2)) (*.f64 2 (pow.f64 y 3)))) (pow.f64 y 2))) (*.f64 -1/4 (/.f64 (pow.f64 (+.f64 (*.f64 -1 (pow.f64 y 2)) y) 2) (pow.f64 y 3)))) (*.f64 (pow.f64 y 2) z))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/6 (/.f64 (+.f64 (*.f64 -3 (pow.f64 y 2)) (+.f64 y (*.f64 2 (pow.f64 y 3)))) (pow.f64 y 2))) (*.f64 -1/4 (/.f64 (pow.f64 (+.f64 (*.f64 -1 (pow.f64 y 2)) y) 2) (pow.f64 y 3)))) (*.f64 (pow.f64 y 2) z))) (+.f64 (/.f64 1 (*.f64 (pow.f64 y 3) (pow.f64 z 3))) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 -1 (pow.f64 y 2)) y) (*.f64 (pow.f64 y 4) (pow.f64 z 2)))) (+.f64 (*.f64 1/4 (/.f64 (pow.f64 (+.f64 (*.f64 -1 (pow.f64 y 2)) y) 2) (*.f64 (pow.f64 y 5) z))) (*.f64 1/2 (/.f64 (pow.f64 (+.f64 (*.f64 -1 (pow.f64 y 2)) y) 2) (*.f64 (pow.f64 y 5) z)))))))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (+.f64 (*.f64 1/6 (/.f64 (+.f64 y (+.f64 (*.f64 -3 (pow.f64 y 2)) (*.f64 2 (pow.f64 y 3)))) (pow.f64 y 2))) (*.f64 -1/4 (/.f64 (pow.f64 (+.f64 (*.f64 -1 (pow.f64 y 2)) y) 2) (pow.f64 y 3)))) (+.f64 (*.f64 -1 (pow.f64 y 2)) y)) y)) (+.f64 (*.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 y 2))) (*.f64 -1/12 (/.f64 (*.f64 (+.f64 (*.f64 -3 (pow.f64 y 2)) (+.f64 y (*.f64 2 (pow.f64 y 3)))) (+.f64 (*.f64 -1 (pow.f64 y 2)) y)) (pow.f64 y 3))))) (pow.f64 y 2))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/6 (/.f64 (+.f64 (*.f64 -3 (pow.f64 y 2)) (+.f64 y (*.f64 2 (pow.f64 y 3)))) (pow.f64 y 2))) (*.f64 -1/4 (/.f64 (pow.f64 (+.f64 (*.f64 -1 (pow.f64 y 2)) y) 2) (pow.f64 y 3)))) (*.f64 (pow.f64 y 2) z))) (+.f64 (*.f64 -2 (/.f64 (+.f64 (*.f64 -1/12 (/.f64 (*.f64 (+.f64 y (+.f64 (*.f64 -3 (pow.f64 y 2)) (*.f64 2 (pow.f64 y 3)))) (+.f64 (*.f64 -1 (pow.f64 y 2)) y)) (pow.f64 y 3))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (+.f64 (*.f64 -1 (pow.f64 y 2)) y) (+.f64 (*.f64 1/6 (/.f64 (+.f64 (*.f64 -3 (pow.f64 y 2)) (+.f64 y (*.f64 2 (pow.f64 y 3)))) (pow.f64 y 2))) (*.f64 -1/4 (/.f64 (pow.f64 (+.f64 (*.f64 -1 (pow.f64 y 2)) y) 2) (pow.f64 y 3))))) y)) (*.f64 1/24 (/.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 y 2))))) (pow.f64 y 2))) (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 1/6 (/.f64 (+.f64 y (+.f64 (*.f64 -3 (pow.f64 y 2)) (*.f64 2 (pow.f64 y 3)))) (pow.f64 y 2))) (*.f64 -1/4 (/.f64 (pow.f64 (+.f64 (*.f64 -1 (pow.f64 y 2)) y) 2) (pow.f64 y 3)))) (+.f64 (*.f64 -1 (pow.f64 y 2)) y)) (pow.f64 y 3)) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (+.f64 (*.f64 -2 (/.f64 (+.f64 (*.f64 1/6 (/.f64 (+.f64 y (+.f64 (*.f64 -3 (pow.f64 y 2)) (*.f64 2 (pow.f64 y 3)))) (pow.f64 y 2))) (*.f64 -1/4 (/.f64 (pow.f64 (+.f64 (*.f64 -1 (pow.f64 y 2)) y) 2) (pow.f64 y 3)))) y)) (*.f64 1/4 (/.f64 (pow.f64 (+.f64 (*.f64 -1 (pow.f64 y 2)) y) 2) (pow.f64 y 4)))) (+.f64 (*.f64 -1 (pow.f64 y 2)) y)) (pow.f64 y 2))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (+.f64 (*.f64 -1 (pow.f64 y 2)) y) 2) (*.f64 (pow.f64 y 5) z))) (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 -1 (pow.f64 y 2)) y) (+.f64 (*.f64 1/6 (/.f64 (+.f64 (*.f64 -3 (pow.f64 y 2)) (+.f64 y (*.f64 2 (pow.f64 y 3)))) (pow.f64 y 2))) (*.f64 -1/4 (/.f64 (pow.f64 (+.f64 (*.f64 -1 (pow.f64 y 2)) y) 2) (pow.f64 y 3))))) (pow.f64 y 3)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (pow.f64 y 2)) y) (*.f64 (pow.f64 y 4) (pow.f64 z 2)))) (+.f64 (/.f64 1 (*.f64 (pow.f64 y 3) (pow.f64 z 3))) (+.f64 (*.f64 -2 (/.f64 (+.f64 (*.f64 1/6 (/.f64 (+.f64 y (+.f64 (*.f64 -3 (pow.f64 y 2)) (*.f64 2 (pow.f64 y 3)))) (pow.f64 y 2))) (*.f64 -1/4 (/.f64 (pow.f64 (+.f64 (*.f64 -1 (pow.f64 y 2)) y) 2) (pow.f64 y 3)))) (*.f64 (pow.f64 y 2) z))) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 -1 (pow.f64 y 2)) y) (*.f64 (pow.f64 y 4) (pow.f64 z 2)))) (*.f64 1/4 (/.f64 (pow.f64 (+.f64 (*.f64 -1 (pow.f64 y 2)) y) 2) (*.f64 (pow.f64 y 5) z))))))))))))))
(/.f64 1 (pow.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) 3))
(/.f64 1 (pow.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) 3))
(/.f64 1 (pow.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) 3))
(/.f64 1 (pow.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) 3))
(/.f64 1 (pow.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) 3))
(/.f64 1 (pow.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) 3))
(/.f64 1 (pow.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) 3))
(/.f64 1 (pow.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) 3))
Outputs
(/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))
(/.f64 1 (*.f64 (expm1.f64 z) y))
(+.f64 1/2 (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y)))
(+.f64 (/.f64 1 (*.f64 (expm1.f64 z) y)) 1/2)
(+.f64 1/2 (+.f64 (*.f64 -1 (*.f64 y (+.f64 (*.f64 1/3 (-.f64 (exp.f64 z) 1)) (*.f64 -1/4 (-.f64 (exp.f64 z) 1))))) (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))))
(+.f64 1/2 (fma.f64 -1 (*.f64 y (*.f64 (expm1.f64 z) 1/12)) (/.f64 1 (*.f64 (expm1.f64 z) y))))
(+.f64 1/2 (-.f64 (/.f64 1 (*.f64 (expm1.f64 z) y)) (*.f64 (expm1.f64 z) (*.f64 1/12 y))))
(+.f64 1/2 (+.f64 (*.f64 -1 (*.f64 y (+.f64 (*.f64 1/3 (-.f64 (exp.f64 z) 1)) (*.f64 -1/4 (-.f64 (exp.f64 z) 1))))) (+.f64 (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y)) (*.f64 -1 (*.f64 (pow.f64 y 2) (+.f64 (*.f64 1/2 (*.f64 (-.f64 (exp.f64 z) 1) (+.f64 (*.f64 1/3 (-.f64 (exp.f64 z) 1)) (*.f64 -1/4 (-.f64 (exp.f64 z) 1))))) (+.f64 (*.f64 -1/4 (pow.f64 (-.f64 (exp.f64 z) 1) 2)) (*.f64 1/6 (pow.f64 (-.f64 (exp.f64 z) 1) 2)))))))))
(+.f64 1/2 (+.f64 (fma.f64 -1 (*.f64 y (*.f64 (expm1.f64 z) 1/12)) (/.f64 1 (*.f64 (expm1.f64 z) y))) (*.f64 (neg.f64 (*.f64 y y)) (fma.f64 1/2 (*.f64 (expm1.f64 z) (*.f64 (expm1.f64 z) 1/12)) (*.f64 (pow.f64 (expm1.f64 z) 2) -1/12)))))
(+.f64 (-.f64 1/2 (*.f64 (expm1.f64 z) (*.f64 1/12 y))) (-.f64 (/.f64 1 (*.f64 (expm1.f64 z) y)) (*.f64 (*.f64 y y) (fma.f64 1/2 (*.f64 (expm1.f64 z) (*.f64 (expm1.f64 z) 1/12)) (*.f64 (pow.f64 (expm1.f64 z) 2) -1/12)))))
(/.f64 1 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))))
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(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (+.f64 (*.f64 1/6 (/.f64 (+.f64 y (+.f64 (*.f64 -3 (pow.f64 y 2)) (*.f64 2 (pow.f64 y 3)))) (pow.f64 y 2))) (*.f64 -1/4 (/.f64 (pow.f64 (+.f64 (*.f64 -1 (pow.f64 y 2)) y) 2) (pow.f64 y 3)))) (+.f64 (*.f64 -1 (pow.f64 y 2)) y)) y)) (+.f64 (*.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 y 2))) (*.f64 -1/12 (/.f64 (*.f64 (+.f64 (*.f64 -3 (pow.f64 y 2)) (+.f64 y (*.f64 2 (pow.f64 y 3)))) (+.f64 (*.f64 -1 (pow.f64 y 2)) y)) (pow.f64 y 3))))) (pow.f64 y 2))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/6 (/.f64 (+.f64 (*.f64 -3 (pow.f64 y 2)) (+.f64 y (*.f64 2 (pow.f64 y 3)))) (pow.f64 y 2))) (*.f64 -1/4 (/.f64 (pow.f64 (+.f64 (*.f64 -1 (pow.f64 y 2)) y) 2) (pow.f64 y 3)))) (*.f64 (pow.f64 y 2) z))) (+.f64 (*.f64 -2 (/.f64 (+.f64 (*.f64 -1/12 (/.f64 (*.f64 (+.f64 y (+.f64 (*.f64 -3 (pow.f64 y 2)) (*.f64 2 (pow.f64 y 3)))) (+.f64 (*.f64 -1 (pow.f64 y 2)) y)) (pow.f64 y 3))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (+.f64 (*.f64 -1 (pow.f64 y 2)) y) (+.f64 (*.f64 1/6 (/.f64 (+.f64 (*.f64 -3 (pow.f64 y 2)) (+.f64 y (*.f64 2 (pow.f64 y 3)))) (pow.f64 y 2))) (*.f64 -1/4 (/.f64 (pow.f64 (+.f64 (*.f64 -1 (pow.f64 y 2)) y) 2) (pow.f64 y 3))))) y)) (*.f64 1/24 (/.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 y 2))))) (pow.f64 y 2))) (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 1/6 (/.f64 (+.f64 y (+.f64 (*.f64 -3 (pow.f64 y 2)) (*.f64 2 (pow.f64 y 3)))) (pow.f64 y 2))) (*.f64 -1/4 (/.f64 (pow.f64 (+.f64 (*.f64 -1 (pow.f64 y 2)) y) 2) (pow.f64 y 3)))) (+.f64 (*.f64 -1 (pow.f64 y 2)) y)) (pow.f64 y 3)) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (+.f64 (*.f64 -2 (/.f64 (+.f64 (*.f64 1/6 (/.f64 (+.f64 y (+.f64 (*.f64 -3 (pow.f64 y 2)) (*.f64 2 (pow.f64 y 3)))) (pow.f64 y 2))) (*.f64 -1/4 (/.f64 (pow.f64 (+.f64 (*.f64 -1 (pow.f64 y 2)) y) 2) (pow.f64 y 3)))) y)) (*.f64 1/4 (/.f64 (pow.f64 (+.f64 (*.f64 -1 (pow.f64 y 2)) y) 2) (pow.f64 y 4)))) (+.f64 (*.f64 -1 (pow.f64 y 2)) y)) (pow.f64 y 2))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (+.f64 (*.f64 -1 (pow.f64 y 2)) y) 2) (*.f64 (pow.f64 y 5) z))) (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 -1 (pow.f64 y 2)) y) (+.f64 (*.f64 1/6 (/.f64 (+.f64 (*.f64 -3 (pow.f64 y 2)) (+.f64 y (*.f64 2 (pow.f64 y 3)))) (pow.f64 y 2))) (*.f64 -1/4 (/.f64 (pow.f64 (+.f64 (*.f64 -1 (pow.f64 y 2)) y) 2) (pow.f64 y 3))))) (pow.f64 y 3)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (pow.f64 y 2)) y) (*.f64 (pow.f64 y 4) (pow.f64 z 2)))) (+.f64 (/.f64 1 (*.f64 (pow.f64 y 3) (pow.f64 z 3))) (+.f64 (*.f64 -2 (/.f64 (+.f64 (*.f64 1/6 (/.f64 (+.f64 y (+.f64 (*.f64 -3 (pow.f64 y 2)) (*.f64 2 (pow.f64 y 3)))) (pow.f64 y 2))) (*.f64 -1/4 (/.f64 (pow.f64 (+.f64 (*.f64 -1 (pow.f64 y 2)) y) 2) (pow.f64 y 3)))) (*.f64 (pow.f64 y 2) z))) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 -1 (pow.f64 y 2)) y) (*.f64 (pow.f64 y 4) (pow.f64 z 2)))) (*.f64 1/4 (/.f64 (pow.f64 (+.f64 (*.f64 -1 (pow.f64 y 2)) y) 2) (*.f64 (pow.f64 y 5) z))))))))))))))
(fma.f64 -1 (/.f64 (fma.f64 -1/2 (/.f64 (fma.f64 1/6 (/.f64 (+.f64 y (fma.f64 -3 (*.f64 y y) (*.f64 2 (pow.f64 y 3)))) (*.f64 y y)) (*.f64 -1/4 (/.f64 (pow.f64 (fma.f64 -1 (*.f64 y y) y) 2) (pow.f64 y 3)))) (/.f64 y (fma.f64 -1 (*.f64 y y) y))) (fma.f64 1/24 (/.f64 (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)))))) (*.f64 y y)) (*.f64 -1/12 (/.f64 (fma.f64 -3 (*.f64 y y) (+.f64 y (*.f64 2 (pow.f64 y 3)))) (/.f64 (pow.f64 y 3) (fma.f64 -1 (*.f64 y y) y)))))) (*.f64 y y)) (fma.f64 -1 (/.f64 (fma.f64 1/6 (/.f64 (fma.f64 -3 (*.f64 y y) (+.f64 y (*.f64 2 (pow.f64 y 3)))) (*.f64 y y)) (*.f64 -1/4 (/.f64 (pow.f64 (fma.f64 -1 (*.f64 y y) y) 2) (pow.f64 y 3)))) (*.f64 z (*.f64 y y))) (fma.f64 -2 (/.f64 (fma.f64 -1/12 (/.f64 (+.f64 y (fma.f64 -3 (*.f64 y y) (*.f64 2 (pow.f64 y 3)))) (/.f64 (pow.f64 y 3) (fma.f64 -1 (*.f64 y y) y))) (fma.f64 -1/2 (/.f64 (fma.f64 -1 (*.f64 y y) y) (/.f64 y (fma.f64 1/6 (/.f64 (fma.f64 -3 (*.f64 y y) (+.f64 y (*.f64 2 (pow.f64 y 3)))) (*.f64 y y)) (*.f64 -1/4 (/.f64 (pow.f64 (fma.f64 -1 (*.f64 y y) y) 2) (pow.f64 y 3)))))) (*.f64 1/24 (/.f64 (+.f64 y (fma.f64 -3 (*.f64 y y) (fma.f64 12 (pow.f64 y 3) (fma.f64 -4 (*.f64 y y) (*.f64 -6 (pow.f64 y 4)))))) (*.f64 y y))))) (*.f64 y y)) (+.f64 (/.f64 (fma.f64 1/6 (/.f64 (+.f64 y (fma.f64 -3 (*.f64 y y) (*.f64 2 (pow.f64 y 3)))) (*.f64 y y)) (*.f64 -1/4 (/.f64 (pow.f64 (fma.f64 -1 (*.f64 y y) y) 2) (pow.f64 y 3)))) (/.f64 (pow.f64 y 3) (fma.f64 -1 (*.f64 y y) y))) (fma.f64 -1/2 (/.f64 (fma.f64 -2 (/.f64 (fma.f64 1/6 (/.f64 (+.f64 y (fma.f64 -3 (*.f64 y y) (*.f64 2 (pow.f64 y 3)))) (*.f64 y y)) (*.f64 -1/4 (/.f64 (pow.f64 (fma.f64 -1 (*.f64 y y) y) 2) (pow.f64 y 3)))) y) (*.f64 1/4 (/.f64 (pow.f64 (fma.f64 -1 (*.f64 y y) y) 2) (pow.f64 y 4)))) (/.f64 (*.f64 y y) (fma.f64 -1 (*.f64 y y) y))) (fma.f64 1/2 (/.f64 (pow.f64 (fma.f64 -1 (*.f64 y y) y) 2) (*.f64 z (pow.f64 y 5))) (+.f64 (/.f64 (fma.f64 -1 (*.f64 y y) y) (/.f64 (pow.f64 y 3) (fma.f64 1/6 (/.f64 (fma.f64 -3 (*.f64 y y) (+.f64 y (*.f64 2 (pow.f64 y 3)))) (*.f64 y y)) (*.f64 -1/4 (/.f64 (pow.f64 (fma.f64 -1 (*.f64 y y) y) 2) (pow.f64 y 3)))))) (fma.f64 -1 (/.f64 (fma.f64 -1 (*.f64 y y) y) (*.f64 (pow.f64 y 4) (*.f64 z z))) (+.f64 (/.f64 1 (*.f64 (pow.f64 y 3) (pow.f64 z 3))) (fma.f64 -2 (/.f64 (fma.f64 1/6 (/.f64 (+.f64 y (fma.f64 -3 (*.f64 y y) (*.f64 2 (pow.f64 y 3)))) (*.f64 y y)) (*.f64 -1/4 (/.f64 (pow.f64 (fma.f64 -1 (*.f64 y y) y) 2) (pow.f64 y 3)))) (*.f64 z (*.f64 y y))) (fma.f64 -1/2 (/.f64 (fma.f64 -1 (*.f64 y y) y) (*.f64 (pow.f64 y 4) (*.f64 z z))) (*.f64 1/4 (/.f64 (pow.f64 (fma.f64 -1 (*.f64 y y) y) 2) (*.f64 z (pow.f64 y 5)))))))))))))))
(-.f64 (-.f64 (+.f64 (fma.f64 -2 (/.f64 (fma.f64 -1/12 (*.f64 (/.f64 (+.f64 y (fma.f64 2 (pow.f64 y 3) (*.f64 y (*.f64 y -3)))) (pow.f64 y 3)) (-.f64 y (*.f64 y y))) (fma.f64 -1/2 (*.f64 (/.f64 (-.f64 y (*.f64 y y)) y) (fma.f64 -1/4 (/.f64 (pow.f64 (-.f64 y (*.f64 y y)) 2) (pow.f64 y 3)) (/.f64 (*.f64 1/6 (fma.f64 (*.f64 y y) -3 (fma.f64 2 (pow.f64 y 3) y))) (*.f64 y y)))) (/.f64 1/24 (/.f64 (*.f64 y y) (+.f64 y (fma.f64 (*.f64 y y) -3 (fma.f64 (pow.f64 y 3) 12 (fma.f64 (*.f64 y y) -4 (*.f64 -6 (pow.f64 y 4)))))))))) (*.f64 y y)) (/.f64 (fma.f64 -1/4 (/.f64 (pow.f64 (-.f64 y (*.f64 y y)) 2) (pow.f64 y 3)) (*.f64 (/.f64 1/6 y) (/.f64 (+.f64 y (fma.f64 2 (pow.f64 y 3) (*.f64 y (*.f64 y -3)))) y))) (/.f64 (pow.f64 y 3) (-.f64 y (*.f64 y y))))) (fma.f64 -1/2 (*.f64 (/.f64 (-.f64 y (*.f64 y y)) y) (/.f64 (fma.f64 -2 (/.f64 (fma.f64 -1/4 (/.f64 (pow.f64 (-.f64 y (*.f64 y y)) 2) (pow.f64 y 3)) (*.f64 (/.f64 1/6 y) (/.f64 (+.f64 y (fma.f64 2 (pow.f64 y 3) (*.f64 y (*.f64 y -3)))) y))) y) (*.f64 1/4 (/.f64 (pow.f64 (-.f64 y (*.f64 y y)) 2) (pow.f64 y 4)))) y)) (+.f64 (fma.f64 1/2 (/.f64 (pow.f64 (-.f64 y (*.f64 y y)) 2) (*.f64 z (pow.f64 y 5))) (*.f64 (/.f64 (-.f64 y (*.f64 y y)) (pow.f64 y 3)) (fma.f64 -1/4 (/.f64 (pow.f64 (-.f64 y (*.f64 y y)) 2) (pow.f64 y 3)) (/.f64 (*.f64 1/6 (fma.f64 (*.f64 y y) -3 (fma.f64 2 (pow.f64 y 3) y))) (*.f64 y y))))) (-.f64 (+.f64 (/.f64 (/.f64 1 (pow.f64 y 3)) (pow.f64 z 3)) (fma.f64 -2 (/.f64 (fma.f64 -1/4 (/.f64 (pow.f64 (-.f64 y (*.f64 y y)) 2) (pow.f64 y 3)) (*.f64 (/.f64 1/6 y) (/.f64 (+.f64 y (fma.f64 2 (pow.f64 y 3) (*.f64 y (*.f64 y -3)))) y))) (*.f64 z (*.f64 y y))) (fma.f64 -1/2 (/.f64 (/.f64 (-.f64 y (*.f64 y y)) (*.f64 z z)) (pow.f64 y 4)) (*.f64 (/.f64 1/4 z) (/.f64 (pow.f64 (-.f64 y (*.f64 y y)) 2) (pow.f64 y 5)))))) (/.f64 (/.f64 (-.f64 y (*.f64 y y)) (*.f64 z z)) (pow.f64 y 4)))))) (/.f64 (fma.f64 -1/4 (/.f64 (pow.f64 (-.f64 y (*.f64 y y)) 2) (pow.f64 y 3)) (/.f64 (*.f64 1/6 (fma.f64 (*.f64 y y) -3 (fma.f64 2 (pow.f64 y 3) y))) (*.f64 y y))) (*.f64 z (*.f64 y y)))) (/.f64 (fma.f64 -1/2 (*.f64 (/.f64 (fma.f64 -1/4 (/.f64 (pow.f64 (-.f64 y (*.f64 y y)) 2) (pow.f64 y 3)) (*.f64 (/.f64 1/6 y) (/.f64 (+.f64 y (fma.f64 2 (pow.f64 y 3) (*.f64 y (*.f64 y -3)))) y))) y) (-.f64 y (*.f64 y y))) (fma.f64 -1/12 (/.f64 (-.f64 y (*.f64 y y)) (/.f64 (pow.f64 y 3) (fma.f64 (*.f64 y y) -3 (fma.f64 2 (pow.f64 y 3) y)))) (*.f64 (/.f64 1/24 y) (/.f64 (+.f64 (fma.f64 (*.f64 y y) -3 y) (fma.f64 (pow.f64 y 3) 12 (fma.f64 (*.f64 y y) -4 (*.f64 -6 (pow.f64 y 4))))) y)))) (*.f64 y y)))
(/.f64 1 (pow.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) 3))
(/.f64 1 (pow.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) 3))
(/.f64 1 (pow.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) 3))
(/.f64 1 (pow.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) 3))
(/.f64 1 (pow.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) 3))
(/.f64 1 (pow.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) 3))
(/.f64 1 (pow.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) 3))
(/.f64 1 (pow.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) 3))
(/.f64 1 (pow.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) 3))
(/.f64 1 (pow.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) 3))
(/.f64 1 (pow.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) 3))
(/.f64 1 (pow.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) 3))
(/.f64 1 (pow.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) 3))
(/.f64 1 (pow.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) 3))
(/.f64 1 (pow.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) 3))
(/.f64 1 (pow.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) 3))

localize13.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓4.4b
(/.f64 y (/.f64 t z))
Compiler

Compiled 15 to 6 computations (60% saved)

series4.0ms (0%)

Counts
1 → 36
Calls

9 calls:

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

rewrite133.0ms (0.5%)

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

Useful iterations: 0 (0.0ms)

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

simplify29.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

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

localize59.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.2b
(*.f64 z (/.f64 z (/.f64 t -1/2)))
✓8.7b
(*.f64 y (*.f64 z (/.f64 z (/.f64 t -1/2))))
Compiler

Compiled 32 to 19 computations (40.6% saved)

series18.0ms (0.1%)

Counts
2 → 60
Calls

15 calls:

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

rewrite143.0ms (0.6%)

Algorithm
1×batch-egg-rewrite
Rules
549×log-prod_binary64
411×exp-prod_binary64
335×pow-prod-down_binary64
254×pow2_binary64
253×pow-unpow_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0923
119723
2264423
Stop Event
1×node limit
Counts
2 → 67
Calls
Call 1
Inputs
(*.f64 y (*.f64 z (/.f64 z (/.f64 t -1/2))))
(*.f64 z (/.f64 z (/.f64 t -1/2)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 y (*.f64 (*.f64 z z) (/.f64 -1/2 t))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (*.f64 (*.f64 z z) (/.f64 -1/2 t)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (*.f64 (*.f64 z z) (/.f64 -1/2 t))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (*.f64 (*.f64 z z) (/.f64 -1/2 t))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (*.f64 (*.f64 z z) (/.f64 -1/2 t))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 y (*.f64 (*.f64 z z) (/.f64 -1/2 t))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y z) (/.f64 t (/.f64 z -2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 z z) y) (*.f64 t -2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (*.f64 z z)) (*.f64 t -2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 y z) z) (*.f64 t -2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 y z) 1) (/.f64 t (/.f64 z -2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 y z) (neg.f64 z)) (*.f64 t 2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y (*.f64 (*.f64 z z) (/.f64 -1/2 t))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 y (*.f64 (*.f64 z z) (/.f64 -1/2 t))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 y (*.f64 (*.f64 z z) (/.f64 -1/2 t))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 y (*.f64 (*.f64 z z) (/.f64 -1/2 t)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 z (sqrt.f64 (*.f64 t -2))) (sqrt.f64 y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (*.f64 y (*.f64 (*.f64 z z) (/.f64 -1/2 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 y (*.f64 (*.f64 z z) (/.f64 -1/2 t))))) 2)) (cbrt.f64 (log.f64 (*.f64 y (*.f64 (*.f64 z z) (/.f64 -1/2 t))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 y (*.f64 (*.f64 z z) (/.f64 -1/2 t)))))) (sqrt.f64 (log.f64 (*.f64 y (*.f64 (*.f64 z z) (/.f64 -1/2 t))))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 y (*.f64 (*.f64 z z) (/.f64 -1/2 t))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 y) (*.f64 (*.f64 z z) (/.f64 -1/2 t))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 y (*.f64 (*.f64 z z) (/.f64 -1/2 t))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 y (*.f64 (*.f64 z z) (/.f64 -1/2 t))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 y (*.f64 (*.f64 z z) (/.f64 -1/2 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 y (*.f64 (*.f64 z z) (/.f64 -1/2 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 y (*.f64 (*.f64 z z) (/.f64 -1/2 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 y (*.f64 (*.f64 z z) (/.f64 -1/2 t)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 y (*.f64 (*.f64 z z) (/.f64 -1/2 t))))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 y (*.f64 (*.f64 z z) (/.f64 -1/2 t))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 z (sqrt.f64 (*.f64 t -2))) (sqrt.f64 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 y (*.f64 (*.f64 z z) (/.f64 -1/2 t)))) 1) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (*.f64 z z) (/.f64 -1/2 t)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 -1/2) (/.f64 z t)) z)) 2)) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 -1/2) (/.f64 z t)) z))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 -1/2) (/.f64 z t)) z))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 -1/2) (/.f64 z t)) z))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 z z) (/.f64 -1/2 t)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 z (/.f64 t (/.f64 z -2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 t -2) (*.f64 z z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 z z) (*.f64 t -2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 z z)) (*.f64 t 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 z) z) (*.f64 t 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 z (neg.f64 z)) (*.f64 t 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 z z) t) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 z z) 1) (*.f64 t -2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 z z) (cbrt.f64 (*.f64 (*.f64 t t) 4))) (cbrt.f64 (*.f64 t -2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 z z) (sqrt.f64 (*.f64 t -2))) (sqrt.f64 (*.f64 t -2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 z z) (/.f64 -1/2 t)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 z (sqrt.f64 (*.f64 t -2))) 4) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 z (sqrt.f64 (*.f64 t -2))) 6) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (*.f64 z z) (/.f64 -1/2 t))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 z (sqrt.f64 (*.f64 t -2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (*.f64 (*.f64 z z) (/.f64 -1/2 t))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 t -2) (*.f64 z z)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (*.f64 z z) (/.f64 -1/2 t)))) 2)) (cbrt.f64 (log.f64 (*.f64 (*.f64 z z) (/.f64 -1/2 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 (*.f64 z z) (/.f64 -1/2 t))))) (sqrt.f64 (log.f64 (*.f64 (*.f64 z z) (/.f64 -1/2 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 z (sqrt.f64 (*.f64 t -2))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 -1/2) (/.f64 z t)) z))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (*.f64 z z) (/.f64 -1/2 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 z (sqrt.f64 (*.f64 t -2))) 6))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (*.f64 z z) (/.f64 -1/2 t))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (*.f64 z z) (/.f64 -1/2 t))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (*.f64 z z) (/.f64 -1/2 t))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 z z) (/.f64 -1/2 t))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 z (sqrt.f64 (*.f64 t -2))) 6)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (*.f64 z z) (/.f64 -1/2 t)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 z (sqrt.f64 (*.f64 t -2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (*.f64 z z) (/.f64 -1/2 t))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 z) 1) (log.f64 (/.f64 t (/.f64 z -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 2 (log.f64 z)) (*.f64 (log.f64 (*.f64 t -2)) 1)))))))

simplify238.0ms (1%)

Algorithm
1×egg-herbie
Rules
876×associate-*l/_binary64
698×*-commutative_binary64
584×sqr-pow_binary64
533×associate-/r/_binary64
336×fabs-mul_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
012708
126708
259708
3150708
4479708
51846708
63229708
73717708
83932708
94084708
104265708
114516708
125414708
136447708
146907708
157507708
Stop Event
1×node limit
Counts
127 → 71
Calls
Call 1
Inputs
(*.f64 -1/2 (/.f64 (*.f64 y (pow.f64 z 2)) t))
(*.f64 -1/2 (/.f64 (*.f64 y (pow.f64 z 2)) t))
(*.f64 -1/2 (/.f64 (*.f64 y (pow.f64 z 2)) t))
(*.f64 -1/2 (/.f64 (*.f64 y (pow.f64 z 2)) t))
(*.f64 -1/2 (/.f64 (*.f64 y (pow.f64 z 2)) t))
(*.f64 -1/2 (/.f64 (*.f64 y (pow.f64 z 2)) t))
(*.f64 -1/2 (/.f64 (*.f64 y (pow.f64 z 2)) t))
(*.f64 -1/2 (/.f64 (*.f64 y (pow.f64 z 2)) t))
(*.f64 -1/2 (/.f64 (*.f64 y (pow.f64 z 2)) t))
(*.f64 -1/2 (/.f64 (*.f64 y (pow.f64 z 2)) t))
(*.f64 -1/2 (/.f64 (*.f64 y (pow.f64 z 2)) t))
(*.f64 -1/2 (/.f64 (*.f64 y (pow.f64 z 2)) t))
(*.f64 -1/2 (/.f64 (*.f64 y (pow.f64 z 2)) t))
(*.f64 -1/2 (/.f64 (*.f64 y (pow.f64 z 2)) t))
(*.f64 -1/2 (/.f64 (*.f64 y (pow.f64 z 2)) t))
(*.f64 -1/2 (/.f64 (*.f64 y (pow.f64 z 2)) t))
(*.f64 -1/2 (/.f64 (*.f64 y (pow.f64 z 2)) t))
(*.f64 -1/2 (/.f64 (*.f64 y (pow.f64 z 2)) t))
(*.f64 -1/2 (/.f64 (*.f64 y (pow.f64 z 2)) t))
(*.f64 -1/2 (/.f64 (*.f64 y (pow.f64 z 2)) t))
(*.f64 -1/2 (/.f64 (*.f64 y (pow.f64 z 2)) t))
(*.f64 -1/2 (/.f64 (*.f64 y (pow.f64 z 2)) t))
(*.f64 -1/2 (/.f64 (*.f64 y (pow.f64 z 2)) t))
(*.f64 -1/2 (/.f64 (*.f64 y (pow.f64 z 2)) t))
(*.f64 -1/2 (/.f64 (*.f64 y (pow.f64 z 2)) t))
(*.f64 -1/2 (/.f64 (*.f64 y (pow.f64 z 2)) t))
(*.f64 -1/2 (/.f64 (*.f64 y (pow.f64 z 2)) t))
(*.f64 -1/2 (/.f64 (*.f64 y (pow.f64 z 2)) t))
(*.f64 -1/2 (/.f64 (*.f64 y (pow.f64 z 2)) t))
(*.f64 -1/2 (/.f64 (*.f64 y (pow.f64 z 2)) t))
(*.f64 -1/2 (/.f64 (*.f64 y (pow.f64 z 2)) t))
(*.f64 -1/2 (/.f64 (*.f64 y (pow.f64 z 2)) t))
(*.f64 -1/2 (/.f64 (*.f64 y (pow.f64 z 2)) t))
(*.f64 -1/2 (/.f64 (*.f64 y (pow.f64 z 2)) t))
(*.f64 -1/2 (/.f64 (*.f64 y (pow.f64 z 2)) t))
(*.f64 -1/2 (/.f64 (*.f64 y (pow.f64 z 2)) t))
(*.f64 -1/2 (/.f64 (pow.f64 z 2) t))
(*.f64 -1/2 (/.f64 (pow.f64 z 2) t))
(*.f64 -1/2 (/.f64 (pow.f64 z 2) t))
(*.f64 -1/2 (/.f64 (pow.f64 z 2) t))
(*.f64 -1/2 (/.f64 (pow.f64 z 2) t))
(*.f64 -1/2 (/.f64 (pow.f64 z 2) t))
(*.f64 -1/2 (/.f64 (pow.f64 z 2) t))
(*.f64 -1/2 (/.f64 (pow.f64 z 2) t))
(*.f64 -1/2 (/.f64 (pow.f64 z 2) t))
(*.f64 -1/2 (/.f64 (pow.f64 z 2) t))
(*.f64 -1/2 (/.f64 (pow.f64 z 2) t))
(*.f64 -1/2 (/.f64 (pow.f64 z 2) t))
(*.f64 -1/2 (/.f64 (pow.f64 z 2) t))
(*.f64 -1/2 (/.f64 (pow.f64 z 2) t))
(*.f64 -1/2 (/.f64 (pow.f64 z 2) t))
(*.f64 -1/2 (/.f64 (pow.f64 z 2) t))
(*.f64 -1/2 (/.f64 (pow.f64 z 2) t))
(*.f64 -1/2 (/.f64 (pow.f64 z 2) t))
(*.f64 -1/2 (/.f64 (pow.f64 z 2) t))
(*.f64 -1/2 (/.f64 (pow.f64 z 2) t))
(*.f64 -1/2 (/.f64 (pow.f64 z 2) t))
(*.f64 -1/2 (/.f64 (pow.f64 z 2) t))
(*.f64 -1/2 (/.f64 (pow.f64 z 2) t))
(*.f64 -1/2 (/.f64 (pow.f64 z 2) t))
Outputs
(*.f64 -1/2 (/.f64 (*.f64 y (pow.f64 z 2)) t))
(*.f64 -1/2 (/.f64 y (/.f64 t (*.f64 z z))))
(*.f64 -1/2 (/.f64 y (/.f64 (/.f64 t z) z)))
(*.f64 -1/2 (*.f64 (*.f64 z z) (/.f64 y t)))
(*.f64 (*.f64 -1/2 (*.f64 z z)) (/.f64 y t))
(*.f64 (*.f64 z z) (*.f64 -1/2 (/.f64 y t)))
(*.f64 z (/.f64 z (/.f64 t (*.f64 -1/2 y))))
(*.f64 -1/2 (/.f64 (*.f64 y (pow.f64 z 2)) t))
(*.f64 -1/2 (/.f64 y (/.f64 t (*.f64 z z))))
(*.f64 -1/2 (/.f64 y (/.f64 (/.f64 t z) z)))
(*.f64 -1/2 (*.f64 (*.f64 z z) (/.f64 y t)))
(*.f64 (*.f64 -1/2 (*.f64 z z)) (/.f64 y t))
(*.f64 (*.f64 z z) (*.f64 -1/2 (/.f64 y t)))
(*.f64 z (/.f64 z (/.f64 t (*.f64 -1/2 y))))
(*.f64 -1/2 (/.f64 (*.f64 y (pow.f64 z 2)) t))
(*.f64 -1/2 (/.f64 y (/.f64 t (*.f64 z z))))
(*.f64 -1/2 (/.f64 y (/.f64 (/.f64 t z) z)))
(*.f64 -1/2 (*.f64 (*.f64 z z) (/.f64 y t)))
(*.f64 (*.f64 -1/2 (*.f64 z z)) (/.f64 y t))
(*.f64 (*.f64 z z) (*.f64 -1/2 (/.f64 y t)))
(*.f64 z (/.f64 z (/.f64 t (*.f64 -1/2 y))))
(*.f64 -1/2 (/.f64 (*.f64 y (pow.f64 z 2)) t))
(*.f64 -1/2 (/.f64 y (/.f64 t (*.f64 z z))))
(*.f64 -1/2 (/.f64 y (/.f64 (/.f64 t z) z)))
(*.f64 -1/2 (*.f64 (*.f64 z z) (/.f64 y t)))
(*.f64 (*.f64 -1/2 (*.f64 z z)) (/.f64 y t))
(*.f64 (*.f64 z z) (*.f64 -1/2 (/.f64 y t)))
(*.f64 z (/.f64 z (/.f64 t (*.f64 -1/2 y))))
(*.f64 -1/2 (/.f64 (*.f64 y (pow.f64 z 2)) t))
(*.f64 -1/2 (/.f64 y (/.f64 t (*.f64 z z))))
(*.f64 -1/2 (/.f64 y (/.f64 (/.f64 t z) z)))
(*.f64 -1/2 (*.f64 (*.f64 z z) (/.f64 y t)))
(*.f64 (*.f64 -1/2 (*.f64 z z)) (/.f64 y t))
(*.f64 (*.f64 z z) (*.f64 -1/2 (/.f64 y t)))
(*.f64 z (/.f64 z (/.f64 t (*.f64 -1/2 y))))
(*.f64 -1/2 (/.f64 (*.f64 y (pow.f64 z 2)) t))
(*.f64 -1/2 (/.f64 y (/.f64 t (*.f64 z z))))
(*.f64 -1/2 (/.f64 y (/.f64 (/.f64 t z) z)))
(*.f64 -1/2 (*.f64 (*.f64 z z) (/.f64 y t)))
(*.f64 (*.f64 -1/2 (*.f64 z z)) (/.f64 y t))
(*.f64 (*.f64 z z) (*.f64 -1/2 (/.f64 y t)))
(*.f64 z (/.f64 z (/.f64 t (*.f64 -1/2 y))))
(*.f64 -1/2 (/.f64 (*.f64 y (pow.f64 z 2)) t))
(*.f64 -1/2 (/.f64 y (/.f64 t (*.f64 z z))))
(*.f64 -1/2 (/.f64 y (/.f64 (/.f64 t z) z)))
(*.f64 -1/2 (*.f64 (*.f64 z z) (/.f64 y t)))
(*.f64 (*.f64 -1/2 (*.f64 z z)) (/.f64 y t))
(*.f64 (*.f64 z z) (*.f64 -1/2 (/.f64 y t)))
(*.f64 z (/.f64 z (/.f64 t (*.f64 -1/2 y))))
(*.f64 -1/2 (/.f64 (*.f64 y (pow.f64 z 2)) t))
(*.f64 -1/2 (/.f64 y (/.f64 t (*.f64 z z))))
(*.f64 -1/2 (/.f64 y (/.f64 (/.f64 t z) z)))
(*.f64 -1/2 (*.f64 (*.f64 z z) (/.f64 y t)))
(*.f64 (*.f64 -1/2 (*.f64 z z)) (/.f64 y t))
(*.f64 (*.f64 z z) (*.f64 -1/2 (/.f64 y t)))
(*.f64 z (/.f64 z (/.f64 t (*.f64 -1/2 y))))
(*.f64 -1/2 (/.f64 (*.f64 y (pow.f64 z 2)) t))
(*.f64 -1/2 (/.f64 y (/.f64 t (*.f64 z z))))
(*.f64 -1/2 (/.f64 y (/.f64 (/.f64 t z) z)))
(*.f64 -1/2 (*.f64 (*.f64 z z) (/.f64 y t)))
(*.f64 (*.f64 -1/2 (*.f64 z z)) (/.f64 y t))
(*.f64 (*.f64 z z) (*.f64 -1/2 (/.f64 y t)))
(*.f64 z (/.f64 z (/.f64 t (*.f64 -1/2 y))))
(*.f64 -1/2 (/.f64 (*.f64 y (pow.f64 z 2)) t))
(*.f64 -1/2 (/.f64 y (/.f64 t (*.f64 z z))))
(*.f64 -1/2 (/.f64 y (/.f64 (/.f64 t z) z)))
(*.f64 -1/2 (*.f64 (*.f64 z z) (/.f64 y t)))
(*.f64 (*.f64 -1/2 (*.f64 z z)) (/.f64 y t))
(*.f64 (*.f64 z z) (*.f64 -1/2 (/.f64 y t)))
(*.f64 z (/.f64 z (/.f64 t (*.f64 -1/2 y))))
(*.f64 -1/2 (/.f64 (*.f64 y (pow.f64 z 2)) t))
(*.f64 -1/2 (/.f64 y (/.f64 t (*.f64 z z))))
(*.f64 -1/2 (/.f64 y (/.f64 (/.f64 t z) z)))
(*.f64 -1/2 (*.f64 (*.f64 z z) (/.f64 y t)))
(*.f64 (*.f64 -1/2 (*.f64 z z)) (/.f64 y t))
(*.f64 (*.f64 z z) (*.f64 -1/2 (/.f64 y t)))
(*.f64 z (/.f64 z (/.f64 t (*.f64 -1/2 y))))
(*.f64 -1/2 (/.f64 (*.f64 y (pow.f64 z 2)) t))
(*.f64 -1/2 (/.f64 y (/.f64 t (*.f64 z z))))
(*.f64 -1/2 (/.f64 y (/.f64 (/.f64 t z) z)))
(*.f64 -1/2 (*.f64 (*.f64 z z) (/.f64 y t)))
(*.f64 (*.f64 -1/2 (*.f64 z z)) (/.f64 y t))
(*.f64 (*.f64 z z) (*.f64 -1/2 (/.f64 y t)))
(*.f64 z (/.f64 z (/.f64 t (*.f64 -1/2 y))))
(*.f64 -1/2 (/.f64 (*.f64 y (pow.f64 z 2)) t))
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(*.f64 -1/2 (*.f64 (/.f64 z t) z))
(*.f64 (*.f64 z z) (/.f64 -1/2 t))
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(*.f64 -1/2 (/.f64 z (/.f64 t z)))
(*.f64 -1/2 (*.f64 (/.f64 z t) z))
(*.f64 (*.f64 z z) (/.f64 -1/2 t))
(*.f64 -1/2 (*.f64 z (/.f64 z t)))

localize77.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(-.f64 x (/.f64 (*.f64 z (+.f64 y (*.f64 z (*.f64 -1/2 (*.f64 y y))))) t))
✓1.7b
(*.f64 z (+.f64 y (*.f64 z (*.f64 -1/2 (*.f64 y y)))))
✓5.4b
(/.f64 (*.f64 z (+.f64 y (*.f64 z (*.f64 -1/2 (*.f64 y y))))) t)
✓9.3b
(*.f64 z (*.f64 -1/2 (*.f64 y y)))
Compiler

Compiled 72 to 33 computations (54.2% saved)

series81.0ms (0.3%)

Counts
4 → 132
Calls

33 calls:

TimeVariablePointExpression
4.0ms
t
@0
(/.f64 (*.f64 z (+.f64 y (*.f64 z (*.f64 -1/2 (*.f64 y y))))) t)
3.0ms
z
@0
(*.f64 z (*.f64 -1/2 (*.f64 y y)))
2.0ms
x
@0
(-.f64 x (/.f64 (*.f64 z (+.f64 y (*.f64 z (*.f64 -1/2 (*.f64 y y))))) t))
1.0ms
t
@inf
(/.f64 (*.f64 z (+.f64 y (*.f64 z (*.f64 -1/2 (*.f64 y y))))) t)
1.0ms
z
@inf
(*.f64 z (*.f64 -1/2 (*.f64 y y)))

rewrite165.0ms (0.7%)

Algorithm
1×batch-egg-rewrite
Rules
841×log-prod_binary64
559×fma-def_binary64
272×fma-neg_binary64
272×expm1-udef_binary64
272×log1p-udef_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01367
129761
2450661
Stop Event
1×node limit
Counts
4 → 224
Calls
Call 1
Inputs
(*.f64 z (*.f64 -1/2 (*.f64 y y)))
(/.f64 (*.f64 z (+.f64 y (*.f64 z (*.f64 -1/2 (*.f64 y y))))) t)
(*.f64 z (+.f64 y (*.f64 z (*.f64 -1/2 (*.f64 y y)))))
(-.f64 x (/.f64 (*.f64 z (+.f64 y (*.f64 z (*.f64 -1/2 (*.f64 y y))))) t))
Outputs
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simplify98.0ms (0.4%)

Algorithm
1×egg-herbie
Rules
796×cancel-sign-sub-inv_binary64
560×associate-*l*_binary64
490×associate-*r*_binary64
473×distribute-rgt-neg-in_binary64
460×fma-neg_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0372270
11002124
22382124
37291944
438351944
Stop Event
1×node limit
Counts
356 → 252
Calls
Call 1
Inputs
(*.f64 -1/2 (*.f64 (pow.f64 y 2) z))
(*.f64 -1/2 (*.f64 (pow.f64 y 2) z))
(*.f64 -1/2 (*.f64 (pow.f64 y 2) z))
(*.f64 -1/2 (*.f64 (pow.f64 y 2) z))
(*.f64 -1/2 (*.f64 (pow.f64 y 2) z))
(*.f64 -1/2 (*.f64 (pow.f64 y 2) z))
(*.f64 -1/2 (*.f64 (pow.f64 y 2) z))
(*.f64 -1/2 (*.f64 (pow.f64 y 2) z))
(*.f64 -1/2 (*.f64 (pow.f64 y 2) z))
(*.f64 -1/2 (*.f64 (pow.f64 y 2) z))
(*.f64 -1/2 (*.f64 (pow.f64 y 2) z))
(*.f64 -1/2 (*.f64 (pow.f64 y 2) z))
(*.f64 -1/2 (*.f64 (pow.f64 y 2) z))
(*.f64 -1/2 (*.f64 (pow.f64 y 2) z))
(*.f64 -1/2 (*.f64 (pow.f64 y 2) z))
(*.f64 -1/2 (*.f64 (pow.f64 y 2) z))
(*.f64 -1/2 (*.f64 (pow.f64 y 2) z))
(*.f64 -1/2 (*.f64 (pow.f64 y 2) z))
(*.f64 -1/2 (*.f64 (pow.f64 y 2) z))
(*.f64 -1/2 (*.f64 (pow.f64 y 2) z))
(*.f64 -1/2 (*.f64 (pow.f64 y 2) z))
(*.f64 -1/2 (*.f64 (pow.f64 y 2) z))
(*.f64 -1/2 (*.f64 (pow.f64 y 2) z))
(*.f64 -1/2 (*.f64 (pow.f64 y 2) z))
(/.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 -1/2 (/.f64 (*.f64 (pow.f64 y 2) (pow.f64 z 2)) t)))
(+.f64 (/.f64 (*.f64 y z) t) (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 y 2) (pow.f64 z 2)) t)))
(*.f64 -1/2 (/.f64 (*.f64 (pow.f64 y 2) (pow.f64 z 2)) 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 -1/2 (/.f64 (*.f64 (pow.f64 y 2) (pow.f64 z 2)) t)))
(+.f64 (/.f64 (*.f64 y z) t) (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 y 2) (pow.f64 z 2)) t)))
(*.f64 -1/2 (/.f64 (*.f64 (pow.f64 y 2) (pow.f64 z 2)) 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 -1/2 (/.f64 (*.f64 (pow.f64 y 2) (pow.f64 z 2)) t)))
(+.f64 (/.f64 (*.f64 y z) t) (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 y 2) (pow.f64 z 2)) t)))
(/.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 -1/2 (/.f64 (*.f64 (pow.f64 y 2) (pow.f64 z 2)) t)))
(+.f64 (/.f64 (*.f64 y z) t) (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 y 2) (pow.f64 z 2)) t)))
(*.f64 -1/2 (/.f64 (*.f64 (pow.f64 y 2) (pow.f64 z 2)) 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 -1/2 (/.f64 (*.f64 (pow.f64 y 2) (pow.f64 z 2)) t)))
(+.f64 (/.f64 (*.f64 y z) t) (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 y 2) (pow.f64 z 2)) t)))
(*.f64 -1/2 (/.f64 (*.f64 (pow.f64 y 2) (pow.f64 z 2)) 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 -1/2 (/.f64 (*.f64 (pow.f64 y 2) (pow.f64 z 2)) t)))
(+.f64 (/.f64 (*.f64 y z) t) (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 y 2) (pow.f64 z 2)) t)))
(/.f64 (*.f64 z (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) y)) t)
(/.f64 (*.f64 z (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) y)) t)
(/.f64 (*.f64 z (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) y)) t)
(/.f64 (*.f64 z (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) y)) t)
(/.f64 (*.f64 z (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) y)) t)
(/.f64 (*.f64 z (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) y)) t)
(/.f64 (*.f64 z (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) y)) t)
(/.f64 (*.f64 z (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) y)) t)
(/.f64 (*.f64 z (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) y)) t)
(/.f64 (*.f64 z (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) y)) t)
(/.f64 (*.f64 z (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) y)) t)
(/.f64 (*.f64 z (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) y)) 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 y z))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) (pow.f64 z 2))) (*.f64 y z))
(*.f64 -1/2 (*.f64 (pow.f64 y 2) (pow.f64 z 2)))
(+.f64 (*.f64 y z) (*.f64 -1/2 (*.f64 (pow.f64 y 2) (pow.f64 z 2))))
(+.f64 (*.f64 y z) (*.f64 -1/2 (*.f64 (pow.f64 y 2) (pow.f64 z 2))))
(+.f64 (*.f64 y z) (*.f64 -1/2 (*.f64 (pow.f64 y 2) (pow.f64 z 2))))
(*.f64 -1/2 (*.f64 (pow.f64 y 2) (pow.f64 z 2)))
(+.f64 (*.f64 y z) (*.f64 -1/2 (*.f64 (pow.f64 y 2) (pow.f64 z 2))))
(+.f64 (*.f64 y z) (*.f64 -1/2 (*.f64 (pow.f64 y 2) (pow.f64 z 2))))
(+.f64 (*.f64 y z) (*.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 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 y z))
(*.f64 -1/2 (*.f64 (pow.f64 y 2) (pow.f64 z 2)))
(+.f64 (*.f64 y z) (*.f64 -1/2 (*.f64 (pow.f64 y 2) (pow.f64 z 2))))
(+.f64 (*.f64 y z) (*.f64 -1/2 (*.f64 (pow.f64 y 2) (pow.f64 z 2))))
(+.f64 (*.f64 y z) (*.f64 -1/2 (*.f64 (pow.f64 y 2) (pow.f64 z 2))))
(*.f64 -1/2 (*.f64 (pow.f64 y 2) (pow.f64 z 2)))
(+.f64 (*.f64 y z) (*.f64 -1/2 (*.f64 (pow.f64 y 2) (pow.f64 z 2))))
(+.f64 (*.f64 y z) (*.f64 -1/2 (*.f64 (pow.f64 y 2) (pow.f64 z 2))))
(+.f64 (*.f64 y z) (*.f64 -1/2 (*.f64 (pow.f64 y 2) (pow.f64 z 2))))
(*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) y) z) t))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) y) z) t)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) y) z) t)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) y) z) t)) x)
x
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) y) z) t)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) y) z) t)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) y) z) t)) x)
x
(+.f64 (*.f64 -1 (/.f64 (*.f64 z (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) y)) t)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 z (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) y)) t)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 z (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) 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 (pow.f64 y 2) (pow.f64 z 2)) t)) x))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 y 2) (pow.f64 z 2)) t)) x))
(*.f64 1/2 (/.f64 (*.f64 (pow.f64 y 2) (pow.f64 z 2)) t))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) (*.f64 1/2 (/.f64 (*.f64 (pow.f64 y 2) (pow.f64 z 2)) t)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 y 2) (pow.f64 z 2)) t)) x))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 y 2) (pow.f64 z 2)) t)) x))
(*.f64 1/2 (/.f64 (*.f64 (pow.f64 y 2) (pow.f64 z 2)) t))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) (*.f64 1/2 (/.f64 (*.f64 (pow.f64 y 2) (pow.f64 z 2)) t)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 y 2) (pow.f64 z 2)) t)) x))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 y 2) (pow.f64 z 2)) 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 (pow.f64 y 2) (pow.f64 z 2)) t)) x))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 y 2) (pow.f64 z 2)) t)) x))
(*.f64 1/2 (/.f64 (*.f64 (pow.f64 y 2) (pow.f64 z 2)) t))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) (*.f64 1/2 (/.f64 (*.f64 (pow.f64 y 2) (pow.f64 z 2)) t)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 y 2) (pow.f64 z 2)) t)) x))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 y 2) (pow.f64 z 2)) t)) x))
(*.f64 1/2 (/.f64 (*.f64 (pow.f64 y 2) (pow.f64 z 2)) t))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) (*.f64 1/2 (/.f64 (*.f64 (pow.f64 y 2) (pow.f64 z 2)) t)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 y 2) (pow.f64 z 2)) t)) x))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 y 2) (pow.f64 z 2)) t)) x))
(*.f64 -1 (/.f64 (*.f64 z (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) y)) t))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) y)) t)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 z (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) y)) t)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 z (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) y)) t)) x)
x
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) y) z) t)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) y) z) t)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) y) z) t)) x)
x
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) y) z) t)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) y) z) t)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) y) z) t)) x)
Outputs
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(*.f64 y (*.f64 y (*.f64 -1/2 z)))
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(-.f64 x (*.f64 (fma.f64 y (*.f64 y (*.f64 -1/2 z)) y) (/.f64 z t)))
(-.f64 x (*.f64 (fma.f64 -1/2 (*.f64 (*.f64 y y) z) y) (/.f64 z t)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) y) z) t)) x)
(fma.f64 -1 (/.f64 (fma.f64 -1/2 (*.f64 (*.f64 y y) z) y) (/.f64 t z)) x)
(-.f64 x (*.f64 (/.f64 z t) (fma.f64 -1/2 (*.f64 (*.f64 y y) z) y)))
(-.f64 x (*.f64 (fma.f64 (*.f64 y y) (*.f64 -1/2 z) y) (/.f64 z t)))
(-.f64 x (*.f64 (fma.f64 y (*.f64 y (*.f64 -1/2 z)) y) (/.f64 z t)))
(-.f64 x (*.f64 (fma.f64 -1/2 (*.f64 (*.f64 y y) z) y) (/.f64 z t)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) y) z) t)) x)
(fma.f64 -1 (/.f64 (fma.f64 -1/2 (*.f64 (*.f64 y y) z) y) (/.f64 t z)) x)
(-.f64 x (*.f64 (/.f64 z t) (fma.f64 -1/2 (*.f64 (*.f64 y y) z) y)))
(-.f64 x (*.f64 (fma.f64 (*.f64 y y) (*.f64 -1/2 z) y) (/.f64 z t)))
(-.f64 x (*.f64 (fma.f64 y (*.f64 y (*.f64 -1/2 z)) y) (/.f64 z t)))
(-.f64 x (*.f64 (fma.f64 -1/2 (*.f64 (*.f64 y y) z) y) (/.f64 z t)))
x
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) y) z) t)) x)
(fma.f64 -1 (/.f64 (fma.f64 -1/2 (*.f64 (*.f64 y y) z) y) (/.f64 t z)) x)
(-.f64 x (*.f64 (/.f64 z t) (fma.f64 -1/2 (*.f64 (*.f64 y y) z) y)))
(-.f64 x (*.f64 (fma.f64 (*.f64 y y) (*.f64 -1/2 z) y) (/.f64 z t)))
(-.f64 x (*.f64 (fma.f64 y (*.f64 y (*.f64 -1/2 z)) y) (/.f64 z t)))
(-.f64 x (*.f64 (fma.f64 -1/2 (*.f64 (*.f64 y y) z) y) (/.f64 z t)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) y) z) t)) x)
(fma.f64 -1 (/.f64 (fma.f64 -1/2 (*.f64 (*.f64 y y) z) y) (/.f64 t z)) x)
(-.f64 x (*.f64 (/.f64 z t) (fma.f64 -1/2 (*.f64 (*.f64 y y) z) y)))
(-.f64 x (*.f64 (fma.f64 (*.f64 y y) (*.f64 -1/2 z) y) (/.f64 z t)))
(-.f64 x (*.f64 (fma.f64 y (*.f64 y (*.f64 -1/2 z)) y) (/.f64 z t)))
(-.f64 x (*.f64 (fma.f64 -1/2 (*.f64 (*.f64 y y) z) y) (/.f64 z t)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) y) z) t)) x)
(fma.f64 -1 (/.f64 (fma.f64 -1/2 (*.f64 (*.f64 y y) z) y) (/.f64 t z)) x)
(-.f64 x (*.f64 (/.f64 z t) (fma.f64 -1/2 (*.f64 (*.f64 y y) z) y)))
(-.f64 x (*.f64 (fma.f64 (*.f64 y y) (*.f64 -1/2 z) y) (/.f64 z t)))
(-.f64 x (*.f64 (fma.f64 y (*.f64 y (*.f64 -1/2 z)) y) (/.f64 z t)))
(-.f64 x (*.f64 (fma.f64 -1/2 (*.f64 (*.f64 y y) z) 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))
✓3.4b
(*.f64 (/.f64 (expm1.f64 z) t) y)
Compiler

Compiled 28 to 8 computations (71.4% saved)

series76.0ms (0.3%)

Counts
3 → 108
Calls

27 calls:

TimeVariablePointExpression
67.0ms
z
@-inf
(/.f64 (expm1.f64 z) t)
1.0ms
t
@0
(/.f64 (expm1.f64 z) t)
1.0ms
t
@-inf
(/.f64 (expm1.f64 z) t)
0.0ms
z
@inf
(/.f64 (expm1.f64 z) t)
0.0ms
z
@0
(*.f64 (/.f64 (expm1.f64 z) t) y)

rewrite120.0ms (0.5%)

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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simplify109.0ms (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)
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(/.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)
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(/.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))
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(/.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)))
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(-.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)))
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(-.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))))
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(/.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)
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(/.f64 (-.f64 (exp.f64 z) 1) t)
(/.f64 (expm1.f64 z) t)

eval729.0ms (2.9%)

Compiler

Compiled 28767 to 14635 computations (49.1% saved)

prune222.0ms (0.9%)

Pruning

29 alts after pruning (19 fresh and 10 done)

PrunedKeptTotal
New8847891
Fresh21214
Picked011
Done2911
Total88829917
Error
0b
Counts
917 → 29
Alt Table
Click to see full alt table
StatusErrorProgram
23.9b
(-.f64 x (*.f64 (/.f64 y t) (-.f64 z (*.f64 (*.f64 z z) (+.f64 -1/2 (*.f64 z -1/6))))))
30.2b
(-.f64 x (*.f64 (*.f64 z z) (*.f64 -1/2 (/.f64 y (/.f64 t y)))))
25.7b
(-.f64 x (*.f64 y (*.f64 z (*.f64 z (/.f64 1/2 t)))))
✓53.3b
(*.f64 (expm1.f64 z) (/.f64 (neg.f64 y) t))
11.6b
(-.f64 x (pow.f64 (/.f64 t (log1p.f64 (*.f64 z y))) -1))
✓9.0b
(-.f64 x (*.f64 (/.f64 (expm1.f64 z) t) y))
✓11.6b
(-.f64 x (/.f64 (log1p.f64 (*.f64 z y)) t))
54.3b
(/.f64 (*.f64 y z) (neg.f64 t))
14.8b
(-.f64 x (*.f64 (/.f64 1 t) (/.f64 z (/.f64 1 y))))
✓5.9b
(-.f64 x (pow.f64 (*.f64 (cbrt.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) -3)) t) -1))
✓15.8b
(-.f64 x (/.f64 z (/.f64 t y)))
17.4b
x
62.2b
(/.f64 (*.f64 y z) t)
✓1.1b
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))
✓62.2b
(/.f64 y (/.f64 t z))
62.2b
(/.f64 (*.f64 (*.f64 y z) z) (*.f64 t -2))
46.6b
(/.f64 (neg.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) t)
9.0b
(fma.f64 (/.f64 (neg.f64 (expm1.f64 z)) t) y x)
51.6b
(/.f64 (neg.f64 (log1p.f64 (*.f64 y z))) t)
62.2b
(*.f64 z (/.f64 y (/.f64 (/.f64 t z) (*.f64 y 1/2))))
✓53.8b
(*.f64 y (/.f64 (neg.f64 z) t))
14.3b
(-.f64 x (/.f64 y (/.f64 t z)))
53.8b
(*.f64 y (*.f64 (/.f64 z t) (-.f64 -1 (*.f64 z 1/2))))
21.5b
(+.f64 (*.f64 y (-.f64 (*.f64 (*.f64 z z) (+.f64 (/.f64 -1/2 t) (*.f64 z (+.f64 (/.f64 -1/6 t) (/.f64 -1/24 (/.f64 t z)))))) (/.f64 z t))) x)
11.9b
(-.f64 x (pow.f64 (*.f64 (/.f64 1 (log1p.f64 (*.f64 z y))) t) -1))
17.5b
(-.f64 x (/.f64 (*.f64 z (+.f64 y (*.f64 y (*.f64 y (*.f64 -1/2 z))))) t))
✓21.9b
(-.f64 x (*.f64 (/.f64 y t) (-.f64 z (*.f64 z (*.f64 z -1/2)))))
✓1.1b
(-.f64 x (*.f64 (/.f64 1 t) (log1p.f64 (*.f64 y (expm1.f64 z)))))
22.3b
(-.f64 x (/.f64 (+.f64 (*.f64 z (*.f64 (*.f64 y y) (*.f64 z -1/2))) (*.f64 z y)) t))
Compiler

Compiled 410 to 281 computations (31.5% saved)

regimes369.0ms (1.5%)

Counts
46 → 3
Calls
Call 1
Inputs
x
(/.f64 (*.f64 y z) t)
(/.f64 y (/.f64 t z))
(/.f64 (*.f64 y z) (neg.f64 t))
(*.f64 y (/.f64 (neg.f64 z) t))
(-.f64 x (/.f64 y (/.f64 t z)))
(-.f64 x (/.f64 (*.f64 y z) t))
(-.f64 x (/.f64 z (/.f64 t y)))
(-.f64 x (/.f64 (*.f64 y z) t))
(/.f64 (*.f64 (*.f64 y z) z) (*.f64 t -2))
(*.f64 y (*.f64 z (/.f64 z (/.f64 t -1/2))))
(*.f64 z (/.f64 y (/.f64 (/.f64 t z) (*.f64 y 1/2))))
(-.f64 x (*.f64 y (*.f64 z (*.f64 z (/.f64 1/2 t)))))
(*.f64 y (*.f64 (/.f64 z t) (-.f64 -1 (*.f64 z 1/2))))
(-.f64 x (*.f64 (/.f64 1 t) (/.f64 z (/.f64 1 y))))
(-.f64 x (*.f64 (*.f64 z z) (*.f64 -1/2 (/.f64 y (/.f64 t y)))))
(-.f64 x (*.f64 (/.f64 y t) (-.f64 z (*.f64 z (*.f64 z -1/2)))))
(-.f64 x (/.f64 (*.f64 z (+.f64 y (*.f64 y (*.f64 y (*.f64 -1/2 z))))) t))
(-.f64 x (/.f64 (*.f64 z (+.f64 y (*.f64 z (*.f64 -1/2 (*.f64 y y))))) t))
(-.f64 x (*.f64 (/.f64 y t) (-.f64 z (*.f64 (*.f64 z z) (+.f64 -1/2 (*.f64 z -1/6))))))
(-.f64 x (/.f64 (+.f64 (*.f64 z (*.f64 (*.f64 y y) (*.f64 z -1/2))) (*.f64 z y)) t))
(-.f64 x (*.f64 (/.f64 y t) (-.f64 z (*.f64 (*.f64 z z) (+.f64 -1/2 (*.f64 z -1/6))))))
(+.f64 (*.f64 y (-.f64 (*.f64 (*.f64 z z) (+.f64 (/.f64 -1/2 t) (*.f64 z (+.f64 (/.f64 -1/6 t) (/.f64 -1/24 (/.f64 t z)))))) (/.f64 z t))) x)
(/.f64 (neg.f64 (log1p.f64 (*.f64 y z))) t)
(*.f64 (expm1.f64 z) (/.f64 (neg.f64 y) t))
(-.f64 x (*.f64 (/.f64 (expm1.f64 z) t) y))
(-.f64 x (/.f64 y (/.f64 t (expm1.f64 z))))
(-.f64 x (*.f64 (/.f64 y t) (expm1.f64 z)))
(-.f64 x (/.f64 (log1p.f64 (*.f64 z y)) t))
(+.f64 (*.f64 y (-.f64 (/.f64 1 t) (/.f64 (exp.f64 z) t))) x)
(fma.f64 (/.f64 (neg.f64 (expm1.f64 z)) t) y x)
(/.f64 (neg.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) t)
(fma.f64 (/.f64 (-.f64 1 (exp.f64 z)) t) y x)
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))
(-.f64 x (pow.f64 (/.f64 t (log1p.f64 (*.f64 z y))) -1))
(-.f64 x (*.f64 (/.f64 1 t) (log1p.f64 (*.f64 y (expm1.f64 z)))))
(fma.f64 y (-.f64 (/.f64 1 t) (/.f64 (exp.f64 z) t)) x)
(-.f64 x (pow.f64 (*.f64 (/.f64 1 (log1p.f64 (*.f64 z y))) t) -1))
(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 1 y) (*.f64 y (exp.f64 z)))) t))
(-.f64 x (pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) -1))
(-.f64 x (pow.f64 (*.f64 (/.f64 1 (log1p.f64 (*.f64 y (expm1.f64 z)))) t) -1))
(-.f64 x (/.f64 (-.f64 (log.f64 (neg.f64 (expm1.f64 z))) (log.f64 (/.f64 -1 y))) t))
(pow.f64 (cbrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) 3)
(-.f64 x (pow.f64 (*.f64 (cbrt.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) -3)) t) -1))
(-.f64 x (/.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (pow.f64 (cbrt.f64 t) 2)) (cbrt.f64 t)))
(fma.f64 (sqrt.f64 (/.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) t)) (sqrt.f64 (/.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) t)) x)
Outputs
(-.f64 x (pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) -1))
(-.f64 x (/.f64 y (/.f64 t (expm1.f64 z))))
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))
Calls

13 calls:

118.0ms
y
58.0ms
z
44.0ms
(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 1 y) (*.f64 y (exp.f64 z)))) t))
28.0ms
t
23.0ms
x
Results
ErrorSegmentsBranch
1.1b1x
0.1b3y
1.1b1z
1.1b1t
1.1b1(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 1 y) (*.f64 y (exp.f64 z)))) t))
0.1b3(/.f64 (log.f64 (+.f64 (-.f64 1 y) (*.f64 y (exp.f64 z)))) t)
0.1b3(/.f64 (log.f64 (+.f64 (-.f64 1 y) (*.f64 y (exp.f64 z)))) t)
1.1b1(log.f64 (+.f64 (-.f64 1 y) (*.f64 y (exp.f64 z))))
1.1b1(log.f64 (+.f64 (-.f64 1 y) (*.f64 y (exp.f64 z))))
1.1b1(+.f64 (-.f64 1 y) (*.f64 y (exp.f64 z)))
1.1b1(+.f64 (-.f64 1 y) (*.f64 y (exp.f64 z)))
1.1b1(exp.f64 z)
1.1b1(exp.f64 z)
Compiler

Compiled 627 to 318 computations (49.3% saved)

bsearch9.0ms (0%)

Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
0.0
2.3267689930176015e-288
8.0ms
-3.258868233076913e-200
-2.6692269601153597e-227
Compiler

Compiled 24 to 18 computations (25% saved)

regimes371.0ms (1.5%)

Counts
39 → 3
Calls
Call 1
Inputs
x
(/.f64 (*.f64 y z) t)
(/.f64 y (/.f64 t z))
(/.f64 (*.f64 y z) (neg.f64 t))
(*.f64 y (/.f64 (neg.f64 z) t))
(-.f64 x (/.f64 y (/.f64 t z)))
(-.f64 x (/.f64 (*.f64 y z) t))
(-.f64 x (/.f64 z (/.f64 t y)))
(-.f64 x (/.f64 (*.f64 y z) t))
(/.f64 (*.f64 (*.f64 y z) z) (*.f64 t -2))
(*.f64 y (*.f64 z (/.f64 z (/.f64 t -1/2))))
(*.f64 z (/.f64 y (/.f64 (/.f64 t z) (*.f64 y 1/2))))
(-.f64 x (*.f64 y (*.f64 z (*.f64 z (/.f64 1/2 t)))))
(*.f64 y (*.f64 (/.f64 z t) (-.f64 -1 (*.f64 z 1/2))))
(-.f64 x (*.f64 (/.f64 1 t) (/.f64 z (/.f64 1 y))))
(-.f64 x (*.f64 (*.f64 z z) (*.f64 -1/2 (/.f64 y (/.f64 t y)))))
(-.f64 x (*.f64 (/.f64 y t) (-.f64 z (*.f64 z (*.f64 z -1/2)))))
(-.f64 x (/.f64 (*.f64 z (+.f64 y (*.f64 y (*.f64 y (*.f64 -1/2 z))))) t))
(-.f64 x (/.f64 (*.f64 z (+.f64 y (*.f64 z (*.f64 -1/2 (*.f64 y y))))) t))
(-.f64 x (*.f64 (/.f64 y t) (-.f64 z (*.f64 (*.f64 z z) (+.f64 -1/2 (*.f64 z -1/6))))))
(-.f64 x (/.f64 (+.f64 (*.f64 z (*.f64 (*.f64 y y) (*.f64 z -1/2))) (*.f64 z y)) t))
(-.f64 x (*.f64 (/.f64 y t) (-.f64 z (*.f64 (*.f64 z z) (+.f64 -1/2 (*.f64 z -1/6))))))
(+.f64 (*.f64 y (-.f64 (*.f64 (*.f64 z z) (+.f64 (/.f64 -1/2 t) (*.f64 z (+.f64 (/.f64 -1/6 t) (/.f64 -1/24 (/.f64 t z)))))) (/.f64 z t))) x)
(/.f64 (neg.f64 (log1p.f64 (*.f64 y z))) t)
(*.f64 (expm1.f64 z) (/.f64 (neg.f64 y) t))
(-.f64 x (*.f64 (/.f64 (expm1.f64 z) t) y))
(-.f64 x (/.f64 y (/.f64 t (expm1.f64 z))))
(-.f64 x (*.f64 (/.f64 y t) (expm1.f64 z)))
(-.f64 x (/.f64 (log1p.f64 (*.f64 z y)) t))
(+.f64 (*.f64 y (-.f64 (/.f64 1 t) (/.f64 (exp.f64 z) t))) x)
(fma.f64 (/.f64 (neg.f64 (expm1.f64 z)) t) y x)
(/.f64 (neg.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) t)
(fma.f64 (/.f64 (-.f64 1 (exp.f64 z)) t) y x)
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))
(-.f64 x (pow.f64 (/.f64 t (log1p.f64 (*.f64 z y))) -1))
(-.f64 x (*.f64 (/.f64 1 t) (log1p.f64 (*.f64 y (expm1.f64 z)))))
(fma.f64 y (-.f64 (/.f64 1 t) (/.f64 (exp.f64 z) t)) x)
(-.f64 x (pow.f64 (*.f64 (/.f64 1 (log1p.f64 (*.f64 z y))) t) -1))
(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 1 y) (*.f64 y (exp.f64 z)))) t))
Outputs
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))
(-.f64 x (*.f64 (/.f64 y t) (expm1.f64 z)))
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))
Calls

13 calls:

94.0ms
y
67.0ms
z
59.0ms
(log.f64 (+.f64 (-.f64 1 y) (*.f64 y (exp.f64 z))))
35.0ms
t
27.0ms
(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 1 y) (*.f64 y (exp.f64 z)))) t))
Results
ErrorSegmentsBranch
1.1b1x
0.1b3y
1.1b1z
1.1b1t
1.1b1(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 1 y) (*.f64 y (exp.f64 z)))) t))
1.1b1(/.f64 (log.f64 (+.f64 (-.f64 1 y) (*.f64 y (exp.f64 z)))) t)
1.1b1(/.f64 (log.f64 (+.f64 (-.f64 1 y) (*.f64 y (exp.f64 z)))) t)
1.1b1(log.f64 (+.f64 (-.f64 1 y) (*.f64 y (exp.f64 z))))
1.1b1(log.f64 (+.f64 (-.f64 1 y) (*.f64 y (exp.f64 z))))
1.1b1(+.f64 (-.f64 1 y) (*.f64 y (exp.f64 z)))
1.1b1(+.f64 (-.f64 1 y) (*.f64 y (exp.f64 z)))
1.1b1(exp.f64 z)
1.1b1(exp.f64 z)
Compiler

Compiled 529 to 281 computations (46.9% saved)

bsearch146.0ms (0.6%)

Algorithm
2×binary-search
Steps
TimeLeftRight
85.0ms
3.109943919668966e-100
4.562881125972833e-96
61.0ms
-9.261036236562742e-9
-3.151363787889647e-10
Compiler

Compiled 24 to 18 computations (25% saved)

regimes213.0ms (0.9%)

Counts
33 → 3
Calls
Call 1
Inputs
x
(/.f64 (*.f64 y z) t)
(/.f64 y (/.f64 t z))
(/.f64 (*.f64 y z) (neg.f64 t))
(*.f64 y (/.f64 (neg.f64 z) t))
(-.f64 x (/.f64 y (/.f64 t z)))
(-.f64 x (/.f64 (*.f64 y z) t))
(-.f64 x (/.f64 z (/.f64 t y)))
(-.f64 x (/.f64 (*.f64 y z) t))
(/.f64 (*.f64 (*.f64 y z) z) (*.f64 t -2))
(*.f64 y (*.f64 z (/.f64 z (/.f64 t -1/2))))
(*.f64 z (/.f64 y (/.f64 (/.f64 t z) (*.f64 y 1/2))))
(-.f64 x (*.f64 y (*.f64 z (*.f64 z (/.f64 1/2 t)))))
(*.f64 y (*.f64 (/.f64 z t) (-.f64 -1 (*.f64 z 1/2))))
(-.f64 x (*.f64 (/.f64 1 t) (/.f64 z (/.f64 1 y))))
(-.f64 x (*.f64 (*.f64 z z) (*.f64 -1/2 (/.f64 y (/.f64 t y)))))
(-.f64 x (*.f64 (/.f64 y t) (-.f64 z (*.f64 z (*.f64 z -1/2)))))
(-.f64 x (/.f64 (*.f64 z (+.f64 y (*.f64 y (*.f64 y (*.f64 -1/2 z))))) t))
(-.f64 x (/.f64 (*.f64 z (+.f64 y (*.f64 z (*.f64 -1/2 (*.f64 y y))))) t))
(-.f64 x (*.f64 (/.f64 y t) (-.f64 z (*.f64 (*.f64 z z) (+.f64 -1/2 (*.f64 z -1/6))))))
(-.f64 x (/.f64 (+.f64 (*.f64 z (*.f64 (*.f64 y y) (*.f64 z -1/2))) (*.f64 z y)) t))
(-.f64 x (*.f64 (/.f64 y t) (-.f64 z (*.f64 (*.f64 z z) (+.f64 -1/2 (*.f64 z -1/6))))))
(+.f64 (*.f64 y (-.f64 (*.f64 (*.f64 z z) (+.f64 (/.f64 -1/2 t) (*.f64 z (+.f64 (/.f64 -1/6 t) (/.f64 -1/24 (/.f64 t z)))))) (/.f64 z t))) x)
(/.f64 (neg.f64 (log1p.f64 (*.f64 y z))) t)
(*.f64 (expm1.f64 z) (/.f64 (neg.f64 y) t))
(-.f64 x (*.f64 (/.f64 (expm1.f64 z) t) y))
(-.f64 x (/.f64 y (/.f64 t (expm1.f64 z))))
(-.f64 x (*.f64 (/.f64 y t) (expm1.f64 z)))
(-.f64 x (/.f64 (log1p.f64 (*.f64 z y)) t))
(+.f64 (*.f64 y (-.f64 (/.f64 1 t) (/.f64 (exp.f64 z) t))) x)
(fma.f64 (/.f64 (neg.f64 (expm1.f64 z)) t) y x)
(/.f64 (neg.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) t)
(fma.f64 (/.f64 (-.f64 1 (exp.f64 z)) t) y x)
Outputs
(-.f64 x (/.f64 (log1p.f64 (*.f64 z y)) t))
(-.f64 x (/.f64 y (/.f64 t (expm1.f64 z))))
(-.f64 x (/.f64 (log1p.f64 (*.f64 z y)) t))
Calls

6 calls:

63.0ms
y
49.0ms
x
48.0ms
t
29.0ms
z
7.0ms
(exp.f64 z)
Results
ErrorSegmentsBranch
7.1b3x
4.3b3y
5.5b2z
7.7b3t
5.5b2(exp.f64 z)
5.5b2(exp.f64 z)
Compiler

Compiled 366 to 180 computations (50.8% saved)

bsearch732.0ms (3%)

Algorithm
2×binary-search
Steps
TimeLeftRight
259.0ms
2.037649246039784e+27
3.248714109616232e+34
472.0ms
-4.0966721305414614e+76
-1.755010491123635e+75
Compiler

Compiled 440 to 306 computations (30.5% saved)

regimes123.0ms (0.5%)

Counts
28 → 1
Calls
Call 1
Inputs
x
(/.f64 (*.f64 y z) t)
(/.f64 y (/.f64 t z))
(/.f64 (*.f64 y z) (neg.f64 t))
(*.f64 y (/.f64 (neg.f64 z) t))
(-.f64 x (/.f64 y (/.f64 t z)))
(-.f64 x (/.f64 (*.f64 y z) t))
(-.f64 x (/.f64 z (/.f64 t y)))
(-.f64 x (/.f64 (*.f64 y z) t))
(/.f64 (*.f64 (*.f64 y z) z) (*.f64 t -2))
(*.f64 y (*.f64 z (/.f64 z (/.f64 t -1/2))))
(*.f64 z (/.f64 y (/.f64 (/.f64 t z) (*.f64 y 1/2))))
(-.f64 x (*.f64 y (*.f64 z (*.f64 z (/.f64 1/2 t)))))
(*.f64 y (*.f64 (/.f64 z t) (-.f64 -1 (*.f64 z 1/2))))
(-.f64 x (*.f64 (/.f64 1 t) (/.f64 z (/.f64 1 y))))
(-.f64 x (*.f64 (*.f64 z z) (*.f64 -1/2 (/.f64 y (/.f64 t y)))))
(-.f64 x (*.f64 (/.f64 y t) (-.f64 z (*.f64 z (*.f64 z -1/2)))))
(-.f64 x (/.f64 (*.f64 z (+.f64 y (*.f64 y (*.f64 y (*.f64 -1/2 z))))) t))
(-.f64 x (/.f64 (*.f64 z (+.f64 y (*.f64 z (*.f64 -1/2 (*.f64 y y))))) t))
(-.f64 x (*.f64 (/.f64 y t) (-.f64 z (*.f64 (*.f64 z z) (+.f64 -1/2 (*.f64 z -1/6))))))
(-.f64 x (/.f64 (+.f64 (*.f64 z (*.f64 (*.f64 y y) (*.f64 z -1/2))) (*.f64 z y)) t))
(-.f64 x (*.f64 (/.f64 y t) (-.f64 z (*.f64 (*.f64 z z) (+.f64 -1/2 (*.f64 z -1/6))))))
(+.f64 (*.f64 y (-.f64 (*.f64 (*.f64 z z) (+.f64 (/.f64 -1/2 t) (*.f64 z (+.f64 (/.f64 -1/6 t) (/.f64 -1/24 (/.f64 t z)))))) (/.f64 z t))) x)
(/.f64 (neg.f64 (log1p.f64 (*.f64 y z))) t)
(*.f64 (expm1.f64 z) (/.f64 (neg.f64 y) t))
(-.f64 x (*.f64 (/.f64 (expm1.f64 z) t) y))
(-.f64 x (/.f64 y (/.f64 t (expm1.f64 z))))
(-.f64 x (*.f64 (/.f64 y t) (expm1.f64 z)))
Outputs
(-.f64 x (*.f64 (/.f64 (expm1.f64 z) t) y))
Calls

4 calls:

28.0ms
t
27.0ms
z
26.0ms
y
25.0ms
x
Results
ErrorSegmentsBranch
9.0b1x
9.0b1y
9.0b1z
9.0b1t
Compiler

Compiled 309 to 149 computations (51.8% saved)

regimes206.0ms (0.8%)

Counts
25 → 2
Calls
Call 1
Inputs
x
(/.f64 (*.f64 y z) t)
(/.f64 y (/.f64 t z))
(/.f64 (*.f64 y z) (neg.f64 t))
(*.f64 y (/.f64 (neg.f64 z) t))
(-.f64 x (/.f64 y (/.f64 t z)))
(-.f64 x (/.f64 (*.f64 y z) t))
(-.f64 x (/.f64 z (/.f64 t y)))
(-.f64 x (/.f64 (*.f64 y z) t))
(/.f64 (*.f64 (*.f64 y z) z) (*.f64 t -2))
(*.f64 y (*.f64 z (/.f64 z (/.f64 t -1/2))))
(*.f64 z (/.f64 y (/.f64 (/.f64 t z) (*.f64 y 1/2))))
(-.f64 x (*.f64 y (*.f64 z (*.f64 z (/.f64 1/2 t)))))
(*.f64 y (*.f64 (/.f64 z t) (-.f64 -1 (*.f64 z 1/2))))
(-.f64 x (*.f64 (/.f64 1 t) (/.f64 z (/.f64 1 y))))
(-.f64 x (*.f64 (*.f64 z z) (*.f64 -1/2 (/.f64 y (/.f64 t y)))))
(-.f64 x (*.f64 (/.f64 y t) (-.f64 z (*.f64 z (*.f64 z -1/2)))))
(-.f64 x (/.f64 (*.f64 z (+.f64 y (*.f64 y (*.f64 y (*.f64 -1/2 z))))) t))
(-.f64 x (/.f64 (*.f64 z (+.f64 y (*.f64 z (*.f64 -1/2 (*.f64 y y))))) t))
(-.f64 x (*.f64 (/.f64 y t) (-.f64 z (*.f64 (*.f64 z z) (+.f64 -1/2 (*.f64 z -1/6))))))
(-.f64 x (/.f64 (+.f64 (*.f64 z (*.f64 (*.f64 y y) (*.f64 z -1/2))) (*.f64 z y)) t))
(-.f64 x (*.f64 (/.f64 y t) (-.f64 z (*.f64 (*.f64 z z) (+.f64 -1/2 (*.f64 z -1/6))))))
(+.f64 (*.f64 y (-.f64 (*.f64 (*.f64 z z) (+.f64 (/.f64 -1/2 t) (*.f64 z (+.f64 (/.f64 -1/6 t) (/.f64 -1/24 (/.f64 t z)))))) (/.f64 z t))) x)
(/.f64 (neg.f64 (log1p.f64 (*.f64 y z))) t)
(*.f64 (expm1.f64 z) (/.f64 (neg.f64 y) t))
Outputs
x
(+.f64 (*.f64 y (-.f64 (*.f64 (*.f64 z z) (+.f64 (/.f64 -1/2 t) (*.f64 z (+.f64 (/.f64 -1/6 t) (/.f64 -1/24 (/.f64 t z)))))) (/.f64 z t))) x)
Calls

4 calls:

66.0ms
y
46.0ms
z
46.0ms
t
35.0ms
x
Results
ErrorSegmentsBranch
11.2b3x
12.2b3y
9.7b2z
13.2b2t
Compiler

Compiled 285 to 141 computations (50.5% saved)

bsearch147.0ms (0.6%)

Algorithm
1×binary-search
Steps
TimeLeftRight
147.0ms
-1.8376490614507922e-9
-2.8307459300620023e-12
Compiler

Compiled 328 to 226 computations (31.1% saved)

regimes107.0ms (0.4%)

Counts
22 → 2
Calls
Call 1
Inputs
x
(/.f64 (*.f64 y z) t)
(/.f64 y (/.f64 t z))
(/.f64 (*.f64 y z) (neg.f64 t))
(*.f64 y (/.f64 (neg.f64 z) t))
(-.f64 x (/.f64 y (/.f64 t z)))
(-.f64 x (/.f64 (*.f64 y z) t))
(-.f64 x (/.f64 z (/.f64 t y)))
(-.f64 x (/.f64 (*.f64 y z) t))
(/.f64 (*.f64 (*.f64 y z) z) (*.f64 t -2))
(*.f64 y (*.f64 z (/.f64 z (/.f64 t -1/2))))
(*.f64 z (/.f64 y (/.f64 (/.f64 t z) (*.f64 y 1/2))))
(-.f64 x (*.f64 y (*.f64 z (*.f64 z (/.f64 1/2 t)))))
(*.f64 y (*.f64 (/.f64 z t) (-.f64 -1 (*.f64 z 1/2))))
(-.f64 x (*.f64 (/.f64 1 t) (/.f64 z (/.f64 1 y))))
(-.f64 x (*.f64 (*.f64 z z) (*.f64 -1/2 (/.f64 y (/.f64 t y)))))
(-.f64 x (*.f64 (/.f64 y t) (-.f64 z (*.f64 z (*.f64 z -1/2)))))
(-.f64 x (/.f64 (*.f64 z (+.f64 y (*.f64 y (*.f64 y (*.f64 -1/2 z))))) t))
(-.f64 x (/.f64 (*.f64 z (+.f64 y (*.f64 z (*.f64 -1/2 (*.f64 y y))))) t))
(-.f64 x (*.f64 (/.f64 y t) (-.f64 z (*.f64 (*.f64 z z) (+.f64 -1/2 (*.f64 z -1/6))))))
(-.f64 x (/.f64 (+.f64 (*.f64 z (*.f64 (*.f64 y y) (*.f64 z -1/2))) (*.f64 z y)) t))
(-.f64 x (*.f64 (/.f64 y t) (-.f64 z (*.f64 (*.f64 z z) (+.f64 -1/2 (*.f64 z -1/6))))))
Outputs
x
(-.f64 x (/.f64 y (/.f64 t z)))
Calls

4 calls:

30.0ms
x
29.0ms
y
21.0ms
t
20.0ms
z
Results
ErrorSegmentsBranch
11.2b3x
12.4b3y
10.1b2z
13.2b2t
Compiler

Compiled 244 to 121 computations (50.4% saved)

bsearch148.0ms (0.6%)

Algorithm
1×binary-search
Steps
TimeLeftRight
147.0ms
-1.8376490614507922e-9
-2.8307459300620023e-12
Compiler

Compiled 168 to 122 computations (27.4% saved)

regimes48.0ms (0.2%)

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

4 calls:

16.0ms
x
13.0ms
t
12.0ms
y
4.0ms
z
Results
ErrorSegmentsBranch
14.9b3x
16.3b3y
17.4b1z
15.8b3t
Compiler

Compiled 47 to 29 computations (38.3% saved)

bsearch265.0ms (1.1%)

Algorithm
2×binary-search
Steps
TimeLeftRight
131.0ms
1.1580460748104735e-248
4.745766701455938e-248
133.0ms
-1.6425902603738736e-219
-2.8503210208012834e-227
Compiler

Compiled 24 to 18 computations (25% saved)

regimes111.0ms (0.4%)

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

4 calls:

48.0ms
x
11.0ms
t
10.0ms
y
7.0ms
z
Results
ErrorSegmentsBranch
15.0b3x
16.3b3y
17.4b1z
16.2b3t
Compiler

Compiled 41 to 26 computations (36.6% saved)

bsearch284.0ms (1.1%)

Algorithm
2×binary-search
Steps
TimeLeftRight
172.0ms
1.0513324248091432e-303
4.2157027619095715e-302
113.0ms
-1.6425902603738736e-219
-2.8503210208012834e-227
Compiler

Compiled 24 to 18 computations (25% saved)

regimes17.0ms (0.1%)

Accuracy

Total -44.9b remaining (-257.5%)

Threshold costs -44.9b (-257.5%)

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

4 calls:

4.0ms
y
4.0ms
t
4.0ms
x
4.0ms
z
Results
ErrorSegmentsBranch
17.4b1x
17.4b1y
17.4b1z
17.4b1t
Compiler

Compiled 35 to 24 computations (31.4% saved)

simplify44.0ms (0.2%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
091310
1134310
2190310
3226310
4245310
5249310
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(if (<=.f64 (/.f64 (log.f64 (+.f64 (-.f64 1 y) (*.f64 y (exp.f64 z)))) t) -1723641332219371/86182066610968551542636378241108028056376767329454880514019834315878107616003372189510312530372009184902888961739623919010110377987011442493486117202360415845666384627768436296772219009176743399772868636439042064384) (-.f64 x (pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) -1)) (if (<=.f64 (/.f64 (log.f64 (+.f64 (-.f64 1 y) (*.f64 y (exp.f64 z)))) t) 0) (-.f64 x (/.f64 y (/.f64 t (expm1.f64 z)))) (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))))
(if (<=.f64 y -5597952911383697/604462909807314587353088) (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) (if (<=.f64 y 6126901479661797/19701003098197239606139520050071806902539869635232723333974146702122860885748605305707133127442457820403313995153408) (-.f64 x (*.f64 (/.f64 y t) (expm1.f64 z))) (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))))
(if (<=.f64 y -40000000000000001882405379836218783566238405631466523057114838139592998125568) (-.f64 x (/.f64 (log1p.f64 (*.f64 z y)) t)) (if (<=.f64 y 31999999999999998258407391585370112) (-.f64 x (/.f64 y (/.f64 t (expm1.f64 z)))) (-.f64 x (/.f64 (log1p.f64 (*.f64 z y)) t))))
(-.f64 x (*.f64 (/.f64 (expm1.f64 z) t) y))
(if (<=.f64 z -1764064555981667/618970019642690137449562112) x (+.f64 (*.f64 y (-.f64 (*.f64 (*.f64 z z) (+.f64 (/.f64 -1/2 t) (*.f64 z (+.f64 (/.f64 -1/6 t) (/.f64 -1/24 (/.f64 t z)))))) (/.f64 z t))) x))
(if (<=.f64 z -1764064555981667/618970019642690137449562112) x (-.f64 x (/.f64 y (/.f64 t z))))
(if (<=.f64 x -652838680951647/397444631628981487398138749046400654145762820381874332451597321734669043887712482900704872660133498355324859058465554740779924491293392484209737542410542371636340473861337575820867913121689201875267327793591416000228568794576910811136) x (if (<=.f64 x 5834478455786673/503820925841965910293903145710484129446837736164208910110436162020372297817921504473130470168740451712297816270119789770967814979078946625948466280425014092358004268645291408699733274151255074551605446727954090503833797734023629893148800753371273495187319355867136) (*.f64 y (/.f64 (neg.f64 z) t)) x))
(if (<=.f64 x -652838680951647/397444631628981487398138749046400654145762820381874332451597321734669043887712482900704872660133498355324859058465554740779924491293392484209737542410542371636340473861337575820867913121689201875267327793591416000228568794576910811136) x (if (<=.f64 x 202934314495477/193025830561934107162947985381047541665608072055952185017491682078771915023799273387871154500424503798663213600460826789274033295999330021731389427128542432710187362934652673115221889249890533772697227171395058697282798274445240687006095271729621464100656563293799180557568945517759802372156455525060659659679134121984) (/.f64 (*.f64 y z) (neg.f64 t)) x))
x
Outputs
(if (<=.f64 (/.f64 (log.f64 (+.f64 (-.f64 1 y) (*.f64 y (exp.f64 z)))) t) -1723641332219371/86182066610968551542636378241108028056376767329454880514019834315878107616003372189510312530372009184902888961739623919010110377987011442493486117202360415845666384627768436296772219009176743399772868636439042064384) (-.f64 x (pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) -1)) (if (<=.f64 (/.f64 (log.f64 (+.f64 (-.f64 1 y) (*.f64 y (exp.f64 z)))) t) 0) (-.f64 x (/.f64 y (/.f64 t (expm1.f64 z)))) (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))))
(if (<=.f64 y -5597952911383697/604462909807314587353088) (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) (if (<=.f64 y 6126901479661797/19701003098197239606139520050071806902539869635232723333974146702122860885748605305707133127442457820403313995153408) (-.f64 x (*.f64 (/.f64 y t) (expm1.f64 z))) (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))))
(if (<=.f64 y -5597952911383697/604462909807314587353088) (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) (if (<=.f64 y 6126901479661797/19701003098197239606139520050071806902539869635232723333974146702122860885748605305707133127442457820403313995153408) (-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t))) (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))))
(if (<=.f64 y -40000000000000001882405379836218783566238405631466523057114838139592998125568) (-.f64 x (/.f64 (log1p.f64 (*.f64 z y)) t)) (if (<=.f64 y 31999999999999998258407391585370112) (-.f64 x (/.f64 y (/.f64 t (expm1.f64 z)))) (-.f64 x (/.f64 (log1p.f64 (*.f64 z y)) t))))
(if (<=.f64 y -40000000000000001882405379836218783566238405631466523057114838139592998125568) (-.f64 x (/.f64 (log1p.f64 (*.f64 y z)) t)) (if (<=.f64 y 31999999999999998258407391585370112) (-.f64 x (/.f64 y (/.f64 t (expm1.f64 z)))) (-.f64 x (/.f64 (log1p.f64 (*.f64 y z)) t))))
(-.f64 x (*.f64 (/.f64 (expm1.f64 z) t) y))
(-.f64 x (*.f64 y (/.f64 (expm1.f64 z) t)))
(if (<=.f64 z -1764064555981667/618970019642690137449562112) x (+.f64 (*.f64 y (-.f64 (*.f64 (*.f64 z z) (+.f64 (/.f64 -1/2 t) (*.f64 z (+.f64 (/.f64 -1/6 t) (/.f64 -1/24 (/.f64 t z)))))) (/.f64 z t))) x))
(if (<=.f64 z -1764064555981667/618970019642690137449562112) x (+.f64 x (*.f64 y (-.f64 (*.f64 (*.f64 z z) (+.f64 (/.f64 -1/2 t) (*.f64 z (+.f64 (/.f64 -1/6 t) (/.f64 -1/24 (/.f64 t z)))))) (/.f64 z t)))))
(if (<=.f64 z -1764064555981667/618970019642690137449562112) x (-.f64 x (/.f64 y (/.f64 t z))))
(if (<=.f64 x -652838680951647/397444631628981487398138749046400654145762820381874332451597321734669043887712482900704872660133498355324859058465554740779924491293392484209737542410542371636340473861337575820867913121689201875267327793591416000228568794576910811136) x (if (<=.f64 x 5834478455786673/503820925841965910293903145710484129446837736164208910110436162020372297817921504473130470168740451712297816270119789770967814979078946625948466280425014092358004268645291408699733274151255074551605446727954090503833797734023629893148800753371273495187319355867136) (*.f64 y (/.f64 (neg.f64 z) t)) x))
(if (<=.f64 x -652838680951647/397444631628981487398138749046400654145762820381874332451597321734669043887712482900704872660133498355324859058465554740779924491293392484209737542410542371636340473861337575820867913121689201875267327793591416000228568794576910811136) x (if (<=.f64 x 5834478455786673/503820925841965910293903145710484129446837736164208910110436162020372297817921504473130470168740451712297816270119789770967814979078946625948466280425014092358004268645291408699733274151255074551605446727954090503833797734023629893148800753371273495187319355867136) (neg.f64 (*.f64 y (/.f64 z t))) x))
(if (<=.f64 x -652838680951647/397444631628981487398138749046400654145762820381874332451597321734669043887712482900704872660133498355324859058465554740779924491293392484209737542410542371636340473861337575820867913121689201875267327793591416000228568794576910811136) x (if (<=.f64 x 202934314495477/193025830561934107162947985381047541665608072055952185017491682078771915023799273387871154500424503798663213600460826789274033295999330021731389427128542432710187362934652673115221889249890533772697227171395058697282798274445240687006095271729621464100656563293799180557568945517759802372156455525060659659679134121984) (/.f64 (*.f64 y z) (neg.f64 t)) x))
x
Compiler

Compiled 243 to 141 computations (42% saved)

soundness1.2s (4.7%)

Algorithm
4×egg-herbie
Rules
735×div-sub_binary64
735×div-sub_binary64
735×div-sub_binary64
611×fma-def_binary64
611×fma-def_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
01320
12318
24817
39617
420614
542714
672714
791514
8103214
9124614
10175614
11337014
12432614
13494914
14574814
15651714
16707214
17761414
18791214
01541917
14671867
215161809
374681809
01320
12318
24817
39617
420614
542714
672714
791514
8103214
9124614
10175614
11337014
12432614
13494914
14574814
15651714
16707214
17761414
18791214
Stop Event
1×node limit
1×node limit
1×node limit
1×node limit
Compiler

Compiled 724 to 517 computations (28.6% saved)

end196.0ms (0.8%)

Compiler

Compiled 211 to 96 computations (54.5% saved)

Profiling

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