Details

Time bar (total: 18.1s)

analyze540.0ms (3%)

Algorithm
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)

sample6.5s (35.8%)

Results
2.0s1613×body8192exit
1.8s1869×body1024valid
1.2s4740×body256valid
553.0ms1328×body512valid
392.0ms319×body2048valid
355.0ms1994×body256invalid
86.0ms213×body1024invalid
77.0ms250×body512invalid
4.0ms27×body256infinite
1.0msbody512infinite
Bogosity

preprocess98.0ms (0.5%)

Algorithm
egg-herbie
Rules
1100×associate-+l-
844×associate-*r/
804×associate--l+
798×associate-+r-
786×+-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
048273
196245
2238231
3502231
41084189
52906189
65231189
76653189
044
Stop Event
saturated
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 (fma.f64 y (exp.f64 z) (neg.f64 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 (fma.f64 y (exp.f64 x) (neg.f64 y))) 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 (fma.f64 y (exp.f64 z) (neg.f64 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 (-.f64 (*.f64 z (exp.f64 y)) 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 (fma.f64 y (exp.f64 t) (neg.f64 y))) z))
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 t))) z))
Compiler

Compiled 21 to 16 computations (23.8% saved)

simplify133.0ms (0.7%)

Algorithm
egg-herbie
Rules
924×fma-def
920×*-commutative
798×associate--r+
782×associate-/l*
728×associate-+l-
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
01539
12535
25133
39833
420527
550627
6100527
7124027
8135327
9163227
10244927
11490527
12555727
13609627
14687927
15766227
Stop Event
node limit
Counts
1 → 5
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 60 to 33 computations (45% saved)

prune1.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New415
Fresh101
Picked000
Done000
Total516
Accurracy
99.1%
Counts
6 → 1
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.1%
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))
Compiler

Compiled 13 to 9 computations (30.8% saved)

localize11.0ms (0.1%)

Local Accuracy

Found 3 expressions with local accuracy:

NewAccuracyProgram
100.0%
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))
100.0%
(*.f64 y (expm1.f64 z))
91.7%
(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)
Compiler

Compiled 35 to 9 computations (74.3% saved)

series172.0ms (1%)

Counts
3 → 108
Calls

27 calls:

TimeVariablePointExpression
91.0ms
z
@inf
(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)
39.0ms
t
@inf
(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)
20.0ms
z
@-inf
(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)
12.0ms
t
@0
(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)
2.0ms
x
@0
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))

rewrite104.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
1346×associate-*r/
944×associate-*l/
816×associate-/r*
628×associate-/l*
544×distribute-rgt-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01259
124859
2327159
Stop Event
node limit
Counts
3 → 176
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))
Outputs
(((-.f64 (exp.f64 (log1p.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) 1) (2)) ((*.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (/.f64 1 t)) (2)) ((*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 1) (2)) ((*.f64 1 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) (2)) ((*.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (*.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (/.f64 1 t))) (2)) ((*.f64 (sqrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) (sqrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) (2)) ((*.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))) (2)) ((*.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)) (2)) ((*.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))) (2)) ((*.f64 (/.f64 1 t) (log1p.f64 (*.f64 y (expm1.f64 z)))) (2)) ((*.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (/.f64 -1 t)) (2)) ((*.f64 (/.f64 1 (sqrt.f64 t)) (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (sqrt.f64 t))) (2)) ((*.f64 (/.f64 1 (pow.f64 (cbrt.f64 t) 2)) (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (cbrt.f64 t))) (2)) ((*.f64 (/.f64 -1 t) (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) (2)) ((*.f64 (/.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 1) (/.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) t)) (2)) ((*.f64 (/.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) t) (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) (2)) ((*.f64 (/.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (pow.f64 (cbrt.f64 t) 2)) (/.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (cbrt.f64 t))) (2)) ((*.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)) (2)) ((*.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))) (2)) ((*.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 2) (pow.f64 (cbrt.f64 t) 2)) (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) (2)) ((*.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 2) t) (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) (2)) ((*.f64 (/.f64 1 (/.f64 t (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 2))) (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) (2)) ((pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 1) (2)) ((pow.f64 (sqrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 2) (2)) ((pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 3) (2)) ((pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) -1) (2)) ((pow.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 3) 1/3) (2)) ((neg.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t))) (2)) ((sqrt.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 2)) (2)) ((log.f64 (exp.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) (2)) ((log.f64 (+.f64 1 (expm1.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))) (2)) ((cbrt.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 3)) (2)) ((expm1.f64 (log1p.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) (2)) ((exp.f64 (log.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) (2)) ((exp.f64 (*.f64 (log.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 1)) (2)) ((log1p.f64 (expm1.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) (2)))
(((+.f64 (*.f64 y (expm1.f64 z)) 0) (2)) ((+.f64 1 (-.f64 (*.f64 y (expm1.f64 z)) 1)) (2)) ((+.f64 (*.f64 y (exp.f64 z)) (*.f64 y -1)) (2)) ((+.f64 (*.f64 (exp.f64 z) y) (*.f64 -1 y)) (2)) ((-.f64 (+.f64 (*.f64 y (expm1.f64 z)) 1) 1) (2)) ((/.f64 (*.f64 y (-.f64 (*.f64 (exp.f64 z) (exp.f64 z)) 1)) (+.f64 1 (exp.f64 z))) (2)) ((/.f64 (*.f64 y (-.f64 (pow.f64 (exp.f64 z) 3) 1)) (+.f64 (*.f64 (exp.f64 z) (exp.f64 z)) (+.f64 1 (*.f64 (exp.f64 z) 1)))) (2)) ((/.f64 (*.f64 (-.f64 (*.f64 (exp.f64 z) (exp.f64 z)) 1) y) (+.f64 1 (exp.f64 z))) (2)) ((/.f64 (*.f64 (-.f64 (pow.f64 (exp.f64 z) 3) 1) y) (+.f64 (*.f64 (exp.f64 z) (exp.f64 z)) (+.f64 1 (*.f64 (exp.f64 z) 1)))) (2)) ((pow.f64 (*.f64 y (expm1.f64 z)) 1) (2)) ((pow.f64 (sqrt.f64 (*.f64 y (expm1.f64 z))) 2) (2)) ((pow.f64 (cbrt.f64 (*.f64 y (expm1.f64 z))) 3) (2)) ((pow.f64 (pow.f64 (*.f64 y (expm1.f64 z)) 3) 1/3) (2)) ((sqrt.f64 (pow.f64 (*.f64 y (expm1.f64 z)) 2)) (2)) ((log.f64 (pow.f64 (exp.f64 y) (expm1.f64 z))) (2)) ((log.f64 (+.f64 1 (expm1.f64 (*.f64 y (expm1.f64 z))))) (2)) ((cbrt.f64 (pow.f64 (*.f64 y (expm1.f64 z)) 3)) (2)) ((cbrt.f64 (*.f64 (pow.f64 y 3) (pow.f64 (expm1.f64 z) 3))) (2)) ((cbrt.f64 (*.f64 (pow.f64 (expm1.f64 z) 3) (pow.f64 y 3))) (2)) ((expm1.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (2)) ((exp.f64 (log.f64 (*.f64 y (expm1.f64 z)))) (2)) ((exp.f64 (*.f64 (log.f64 (*.f64 y (expm1.f64 z))) 1)) (2)) ((log1p.f64 (expm1.f64 (*.f64 y (expm1.f64 z)))) (2)))
(((+.f64 x (/.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) t)) (2)) ((+.f64 x (+.f64 (/.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) t) (fma.f64 (neg.f64 (/.f64 1 t)) (log1p.f64 (*.f64 y (expm1.f64 z))) (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))) (2)) ((+.f64 x (+.f64 (/.f64 (neg.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)))) (2)) ((+.f64 x (+.f64 (/.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) t) (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)) (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))) (2)) ((+.f64 x (+.f64 (/.f64 (neg.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)))) (2)) ((+.f64 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(pow.f64 x 3) (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 3)) 1) (fma.f64 x x (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x)))) (2)) ((/.f64 (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 3)) (sqrt.f64 (fma.f64 x x (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x))))) (sqrt.f64 (fma.f64 x x (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x))))) (2)) ((/.f64 (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 3)) (*.f64 (cbrt.f64 (fma.f64 x x (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x)))) (cbrt.f64 (fma.f64 x x (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x)))))) (cbrt.f64 (fma.f64 x x (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x))))) (2)) ((pow.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 1) (2)) ((pow.f64 (sqrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) 2) (2)) ((pow.f64 (cbrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) 3) (2)) ((pow.f64 (pow.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 3) 1/3) (2)) ((sqrt.f64 (pow.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 2)) (2)) ((log.f64 (exp.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))) (2)) ((log.f64 (+.f64 1 (expm1.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))))) (2)) ((cbrt.f64 (pow.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 3)) (2)) ((expm1.f64 (log1p.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))) (2)) ((exp.f64 (log.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))) (2)) ((exp.f64 (*.f64 (log.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) 1)) (2)) ((log1p.f64 (expm1.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))) (2)) ((fma.f64 1 x (/.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) t)) (2)) ((fma.f64 (sqrt.f64 x) (sqrt.f64 x) (/.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) t)) (2)) ((fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (/.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) t)) (2)))

simplify213.0ms (1.2%)

Algorithm
egg-herbie
Rules
1350×+-commutative
876×fma-def
754×associate-*r*
628×associate-*l*
548×associate-/l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
058715020
1167614246
2775914246
Stop Event
node limit
Counts
284 → 336
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))
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(+.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))
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x
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x
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(+.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))
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(/.f64 (*.f64 (pow.f64 (cbrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) 2) (cbrt.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 2)))) (cbrt.f64 (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x)))
(/.f64 (*.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 2)) 1) (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x))
(/.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 (/.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) t) (/.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) t))) 1) (-.f64 x (/.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) t)))
(/.f64 (*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (/.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) t) 3)) 1) (+.f64 (*.f64 x x) (-.f64 (*.f64 (/.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) t) (/.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) t)) (*.f64 x (/.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) t)))))
(/.f64 (*.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 2))) 1) (neg.f64 (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x)))
(/.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 3))) 1) (neg.f64 (fma.f64 x x (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x)))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 3))) (sqrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))) (sqrt.f64 (fma.f64 x x (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x)))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 2))) (sqrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))) (sqrt.f64 (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x)))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 3))) (pow.f64 (cbrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) 2)) (cbrt.f64 (fma.f64 x x (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x)))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 2))) (pow.f64 (cbrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) 2)) (cbrt.f64 (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x)))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (/.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 3) (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))))) (/.f64 1 (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x))) (+.f64 (*.f64 x x) (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 2)))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 2) 3)) (/.f64 1 (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x))) (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 (/.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 3) (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z))))) (*.f64 (*.f64 x x) (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 2)))))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 x 3) (pow.f64 x 3)) (*.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 3) (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 3))) (/.f64 1 (fma.f64 x x (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x))))) (+.f64 (pow.f64 x 3) (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 3)))
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 x 3) 3) (pow.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 3) 3)) (/.f64 1 (fma.f64 x x (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x))))) (+.f64 (*.f64 (pow.f64 x 3) (pow.f64 x 3)) (+.f64 (*.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 3) (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 3)) (*.f64 (pow.f64 x 3) (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 3)))))
(/.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 2)) 1) (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x))
(/.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 2)) (sqrt.f64 (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x))) (sqrt.f64 (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x)))
(/.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 2)) (*.f64 (cbrt.f64 (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x)) (cbrt.f64 (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x)))) (cbrt.f64 (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x)))
(/.f64 (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 3)) 1) (fma.f64 x x (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x))))
(/.f64 (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 3)) (sqrt.f64 (fma.f64 x x (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x))))) (sqrt.f64 (fma.f64 x x (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x)))))
(/.f64 (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 3)) (*.f64 (cbrt.f64 (fma.f64 x x (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x)))) (cbrt.f64 (fma.f64 x x (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x)))))) (cbrt.f64 (fma.f64 x x (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x)))))
(pow.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 1)
(pow.f64 (sqrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) 2)
(pow.f64 (cbrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) 3)
(pow.f64 (pow.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 3) 1/3)
(sqrt.f64 (pow.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 2))
(log.f64 (exp.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))))
(cbrt.f64 (pow.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 3))
(expm1.f64 (log1p.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))))
(exp.f64 (log.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))))
(exp.f64 (*.f64 (log.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) 1))
(log1p.f64 (expm1.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))))
(fma.f64 1 x (/.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) t))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (/.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) t))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (/.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) t))
Outputs
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (expm1.f64 z) (/.f64 t y))
(+.f64 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t) (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (pow.f64 y 2)) t)))
(+.f64 (/.f64 (expm1.f64 z) (/.f64 t y)) (*.f64 -1/2 (/.f64 (pow.f64 (expm1.f64 z) 2) (/.f64 t (*.f64 y y)))))
(fma.f64 -1/2 (/.f64 (pow.f64 (*.f64 (expm1.f64 z) y) 2) t) (/.f64 (expm1.f64 z) (/.f64 t y)))
(+.f64 (*.f64 1/3 (/.f64 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 3) (pow.f64 y 3)) t)) (+.f64 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t) (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (pow.f64 y 2)) t))))
(fma.f64 1/3 (/.f64 (pow.f64 (*.f64 (expm1.f64 z) y) 3) 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 1/3 (/.f64 (pow.f64 (*.f64 (expm1.f64 z) y) 3) t) (fma.f64 -1/2 (/.f64 (pow.f64 (*.f64 (expm1.f64 z) y) 2) t) (/.f64 (expm1.f64 z) (/.f64 t y))))
(+.f64 (*.f64 -1/4 (/.f64 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 4) (pow.f64 y 4)) t)) (+.f64 (*.f64 1/3 (/.f64 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 3) (pow.f64 y 3)) t)) (+.f64 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t) (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (pow.f64 y 2)) t)))))
(fma.f64 -1/4 (/.f64 (pow.f64 (expm1.f64 z) 4) (/.f64 t (pow.f64 y 4))) (fma.f64 1/3 (/.f64 (pow.f64 (*.f64 (expm1.f64 z) y) 3) 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 -1/4 (*.f64 (/.f64 (pow.f64 (expm1.f64 z) 4) t) (pow.f64 y 4)) (fma.f64 1/3 (/.f64 (pow.f64 (*.f64 (expm1.f64 z) y) 3) t) (fma.f64 -1/2 (/.f64 (pow.f64 (*.f64 (expm1.f64 z) y) 2) t) (/.f64 (expm1.f64 z) (/.f64 t y)))))
(/.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) t)
(/.f64 (+.f64 (log.f64 (expm1.f64 z)) (neg.f64 (neg.f64 (log.f64 y)))) t)
(/.f64 (log.f64 (*.f64 (expm1.f64 z) y)) t)
(+.f64 (/.f64 (log.f64 (-.f64 (exp.f64 z) 1)) t) (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 y)) t)) (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) (*.f64 y t)))))
(+.f64 (/.f64 (log.f64 (expm1.f64 z)) t) (fma.f64 -1 (/.f64 (neg.f64 (log.f64 y)) t) (/.f64 (/.f64 1 (expm1.f64 z)) (*.f64 y t))))
(+.f64 (/.f64 (log.f64 (expm1.f64 z)) t) (+.f64 (/.f64 (log.f64 y) t) (/.f64 (/.f64 1 (expm1.f64 z)) (*.f64 y t))))
(-.f64 (+.f64 (/.f64 (log.f64 (-.f64 (exp.f64 z) 1)) t) (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 y)) t)) (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) (*.f64 y t))))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (*.f64 (pow.f64 y 2) t)))))
(+.f64 (/.f64 (log.f64 (expm1.f64 z)) t) (-.f64 (fma.f64 -1 (/.f64 (neg.f64 (log.f64 y)) t) (/.f64 (/.f64 1 (expm1.f64 z)) (*.f64 y t))) (/.f64 1/2 (*.f64 (pow.f64 (expm1.f64 z) 2) (*.f64 t (*.f64 y y))))))
(+.f64 (+.f64 (/.f64 (log.f64 y) t) (/.f64 (/.f64 1 (expm1.f64 z)) (*.f64 y t))) (+.f64 (/.f64 (log.f64 (expm1.f64 z)) t) (/.f64 -1/2 (*.f64 t (pow.f64 (*.f64 (expm1.f64 z) y) 2)))))
(-.f64 (+.f64 (/.f64 (log.f64 (-.f64 (exp.f64 z) 1)) t) (+.f64 (*.f64 1/3 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 3) (*.f64 (pow.f64 y 3) t)))) (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 y)) t)) (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) (*.f64 y t)))))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (*.f64 (pow.f64 y 2) t)))))
(+.f64 (/.f64 (log.f64 (expm1.f64 z)) t) (-.f64 (+.f64 (fma.f64 -1 (/.f64 (neg.f64 (log.f64 y)) t) (/.f64 (/.f64 1 (expm1.f64 z)) (*.f64 y t))) (/.f64 1/3 (*.f64 (pow.f64 (*.f64 (expm1.f64 z) y) 3) t))) (/.f64 1/2 (*.f64 (pow.f64 (expm1.f64 z) 2) (*.f64 t (*.f64 y y))))))
(+.f64 (/.f64 (log.f64 (expm1.f64 z)) t) (+.f64 (+.f64 (/.f64 (log.f64 y) t) (/.f64 (/.f64 1 (expm1.f64 z)) (*.f64 y t))) (-.f64 (/.f64 1/3 (*.f64 t (pow.f64 (*.f64 (expm1.f64 z) y) 3))) (/.f64 1/2 (*.f64 t (pow.f64 (*.f64 (expm1.f64 z) y) 2))))))
(/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1)))) t)
(/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 (neg.f64 (expm1.f64 z)))) t)
(/.f64 (-.f64 (log.f64 (neg.f64 (expm1.f64 z))) (log.f64 (/.f64 -1 y))) t)
(+.f64 (/.f64 (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1))) t) (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 y)) t)) (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) (*.f64 y t)))))
(+.f64 (/.f64 (log.f64 (neg.f64 (expm1.f64 z))) t) (fma.f64 -1 (/.f64 (log.f64 (/.f64 -1 y)) t) (/.f64 (/.f64 1 (expm1.f64 z)) (*.f64 y t))))
(+.f64 (/.f64 (log.f64 (neg.f64 (expm1.f64 z))) t) (-.f64 (/.f64 (/.f64 1 (expm1.f64 z)) (*.f64 y t)) (/.f64 (log.f64 (/.f64 -1 y)) t)))
(-.f64 (+.f64 (/.f64 (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1))) t) (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 y)) t)) (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) (*.f64 y t))))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (*.f64 (pow.f64 y 2) t)))))
(+.f64 (/.f64 (log.f64 (neg.f64 (expm1.f64 z))) t) (-.f64 (fma.f64 -1 (/.f64 (log.f64 (/.f64 -1 y)) t) (/.f64 (/.f64 1 (expm1.f64 z)) (*.f64 y t))) (/.f64 1/2 (*.f64 (pow.f64 (expm1.f64 z) 2) (*.f64 t (*.f64 y y))))))
(+.f64 (/.f64 (log.f64 (neg.f64 (expm1.f64 z))) t) (+.f64 (-.f64 (/.f64 (/.f64 1 (expm1.f64 z)) (*.f64 y t)) (/.f64 (log.f64 (/.f64 -1 y)) t)) (/.f64 -1/2 (*.f64 t (pow.f64 (*.f64 (expm1.f64 z) y) 2)))))
(-.f64 (+.f64 (/.f64 (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1))) t) (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 y)) t)) (+.f64 (*.f64 1/3 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 3) (*.f64 (pow.f64 y 3) t)))) (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) (*.f64 y t)))))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (*.f64 (pow.f64 y 2) t)))))
(-.f64 (+.f64 (fma.f64 -1 (/.f64 (log.f64 (/.f64 -1 y)) t) (/.f64 (log.f64 (neg.f64 (expm1.f64 z))) t)) (+.f64 (/.f64 (/.f64 1 (expm1.f64 z)) (*.f64 y t)) (/.f64 1/3 (*.f64 (pow.f64 (*.f64 (expm1.f64 z) y) 3) t)))) (/.f64 1/2 (*.f64 (pow.f64 (expm1.f64 z) 2) (*.f64 t (*.f64 y y)))))
(+.f64 (+.f64 (/.f64 1/3 (*.f64 t (pow.f64 (*.f64 (expm1.f64 z) y) 3))) (-.f64 (/.f64 (/.f64 1 (expm1.f64 z)) (*.f64 y t)) (/.f64 (log.f64 (/.f64 -1 y)) t))) (+.f64 (/.f64 (log.f64 (neg.f64 (expm1.f64 z))) t) (/.f64 -1/2 (*.f64 t (pow.f64 (*.f64 (expm1.f64 z) y) 2)))))
(/.f64 (*.f64 y z) t)
(/.f64 y (/.f64 t z))
(*.f64 (/.f64 y t) z)
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 z 2) (+.f64 (*.f64 -1 (pow.f64 y 2)) y)) t)) (/.f64 (*.f64 y z) t))
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(/.f64 (*.f64 (sqrt.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 3))) (sqrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))) (sqrt.f64 (fma.f64 x x (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x)))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))) (sqrt.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) 3)))) (sqrt.f64 (fma.f64 x x (*.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) (+.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))) (sqrt.f64 (fma.f64 x x (*.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) (+.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)))))) (sqrt.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) 3))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 2))) (sqrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))) (sqrt.f64 (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x)))
(/.f64 (sqrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))) (/.f64 (sqrt.f64 (+.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))) (sqrt.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) 2)))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 3))) (pow.f64 (cbrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) 2)) (cbrt.f64 (fma.f64 x x (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x)))))
(/.f64 (cbrt.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) 3))) (/.f64 (cbrt.f64 (fma.f64 x x (*.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) (+.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))))) (pow.f64 (cbrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))) 2) (cbrt.f64 (fma.f64 x x (*.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) (+.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)))))) (cbrt.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) 3))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 2))) (pow.f64 (cbrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) 2)) (cbrt.f64 (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x)))
(/.f64 (pow.f64 (cbrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))) 2) (/.f64 (cbrt.f64 (+.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))) (cbrt.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) 2)))))
(*.f64 (/.f64 (cbrt.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) 2))) (cbrt.f64 (+.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)))) (pow.f64 (cbrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))) 2))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (/.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 3) (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))))) (/.f64 1 (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x))) (+.f64 (*.f64 x x) (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 2)))
(/.f64 (-.f64 (*.f64 x (pow.f64 x 3)) (*.f64 (/.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) 3) t) (log1p.f64 (*.f64 (expm1.f64 z) y)))) (*.f64 (+.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) (fma.f64 x x (pow.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) 2))))
(/.f64 (-.f64 (pow.f64 x 4) (/.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) 3) (/.f64 t (log1p.f64 (*.f64 (expm1.f64 z) y))))) (*.f64 (+.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) (fma.f64 x x (pow.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) 2))))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 2) 3)) (/.f64 1 (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x))) (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 (/.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 3) (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z))))) (*.f64 (*.f64 x x) (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 2)))))
(/.f64 (-.f64 (pow.f64 x 6) (pow.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) 2) 3)) (*.f64 (+.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) (+.f64 (+.f64 (*.f64 x (pow.f64 x 3)) (*.f64 (/.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) 3) t) (log1p.f64 (*.f64 (expm1.f64 z) y)))) (*.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) 2) (*.f64 x x)))))
(/.f64 (/.f64 (-.f64 (pow.f64 x 6) (pow.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) 6)) (+.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))) (+.f64 (pow.f64 x 4) (fma.f64 x (*.f64 x (pow.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) 2)) (/.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) 3) (/.f64 t (log1p.f64 (*.f64 (expm1.f64 z) y)))))))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 x 3) (pow.f64 x 3)) (*.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 3) (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 3))) (/.f64 1 (fma.f64 x x (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x))))) (+.f64 (pow.f64 x 3) (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 3)))
(/.f64 (-.f64 (pow.f64 x 6) (pow.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) 6)) (*.f64 (fma.f64 x x (*.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) (+.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)))) (+.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) 3) (pow.f64 x 3))))
(/.f64 (/.f64 (-.f64 (pow.f64 x 6) (pow.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) 6)) (fma.f64 x x (*.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) (+.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))))) (+.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) 3) (pow.f64 x 3)))
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 x 3) 3) (pow.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 3) 3)) (/.f64 1 (fma.f64 x x (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x))))) (+.f64 (*.f64 (pow.f64 x 3) (pow.f64 x 3)) (+.f64 (*.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 3) (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 3)) (*.f64 (pow.f64 x 3) (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 3)))))
(/.f64 (-.f64 (pow.f64 (pow.f64 x 3) 3) (pow.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) 3) 3)) (*.f64 (fma.f64 x x (*.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) (+.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)))) (+.f64 (pow.f64 x 6) (+.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) 6) (*.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) 3) (pow.f64 x 3))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 x 3) 3) (pow.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) 3) 3)) (*.f64 (fma.f64 x x (*.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) (+.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)))) (+.f64 (pow.f64 x 6) (fma.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) 3) (pow.f64 x 3) (pow.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) 6)))))
(/.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 2)) 1) (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x))
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))
(/.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 2)) (sqrt.f64 (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x))) (sqrt.f64 (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x)))
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))
(/.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 2)) (*.f64 (cbrt.f64 (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x)) (cbrt.f64 (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x)))) (cbrt.f64 (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x)))
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))
(/.f64 (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 3)) 1) (fma.f64 x x (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x))))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) 3)) (fma.f64 x x (*.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) (+.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)))))
(/.f64 (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 3)) (sqrt.f64 (fma.f64 x x (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x))))) (sqrt.f64 (fma.f64 x x (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x)))))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) 3)) (fma.f64 x x (*.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) (+.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)))))
(/.f64 (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 3)) (*.f64 (cbrt.f64 (fma.f64 x x (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x)))) (cbrt.f64 (fma.f64 x x (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x)))))) (cbrt.f64 (fma.f64 x x (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x)))))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) 3)) (fma.f64 x x (*.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) (+.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)))))
(pow.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 1)
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))
(pow.f64 (sqrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) 2)
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))
(pow.f64 (cbrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) 3)
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))
(pow.f64 (pow.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 3) 1/3)
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))
(sqrt.f64 (pow.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 2))
(sqrt.f64 (pow.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) 2))
(fabs.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)))
(log.f64 (exp.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))))
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))))
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))
(cbrt.f64 (pow.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 3))
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))
(expm1.f64 (log1p.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))))
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))
(exp.f64 (log.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))))
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))
(exp.f64 (*.f64 (log.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) 1))
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))
(log1p.f64 (expm1.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))))
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))
(fma.f64 1 x (/.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) t))
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (/.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) t))
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (/.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) t))
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))

eval241.0ms (1.3%)

Compiler

Compiled 10244 to 3258 computations (68.2% saved)

prune70.0ms (0.4%)

Pruning

16 alts after pruning (15 fresh and 1 done)

PrunedKeptTotal
New32115336
Fresh000
Picked011
Done000
Total32116337
Accurracy
100.0%
Counts
337 → 16
Alt Table
Click to see full alt table
StatusAccuracyProgram
97.0%
(pow.f64 (cbrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) 3)
52.2%
(/.f64 (pow.f64 (cbrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))) 2) (/.f64 (cbrt.f64 (+.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))) (cbrt.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) 2)))))
28.5%
(/.f64 (neg.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) t)
11.0%
(-.f64 (-.f64 x (/.f64 (log.f64 y) t)) (/.f64 (log.f64 (expm1.f64 z)) t))
99.1%
(-.f64 x (pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) -1))
59.7%
(-.f64 x (pow.f64 (sqrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 2))
11.0%
(-.f64 x (/.f64 (+.f64 (log.f64 (expm1.f64 z)) (neg.f64 (neg.f64 (log.f64 y)))) t))
75.5%
(-.f64 x (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
70.5%
(-.f64 x (/.f64 (*.f64 y z) t))
79.4%
(-.f64 x (/.f64 (log1p.f64 (*.f64 z y)) t))
99.1%
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))
81.2%
(-.f64 x (/.f64 (expm1.f64 z) (/.f64 t y)))
70.6%
(-.f64 x (/.f64 y (/.f64 t z)))
69.1%
(-.f64 x (*.f64 (/.f64 y t) z))
99.1%
(-.f64 x (*.f64 (/.f64 1 t) (log1p.f64 (*.f64 y (expm1.f64 z)))))
72.6%
x
Compiler

Compiled 456 to 305 computations (33.1% saved)

localize22.0ms (0.1%)

Local Accuracy

Found 4 expressions with local accuracy:

NewAccuracyProgram
100.0%
(-.f64 x (pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) -1))
100.0%
(*.f64 y (expm1.f64 z))
99.6%
(pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) -1)
91.8%
(/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z))))
Compiler

Compiled 47 to 14 computations (70.2% saved)

series43.0ms (0.2%)

Counts
3 → 120
Calls

30 calls:

TimeVariablePointExpression
19.0ms
y
@-inf
(pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) -1)
3.0ms
y
@0
(pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) -1)
3.0ms
y
@-inf
(-.f64 x (pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) -1))
2.0ms
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)

rewrite114.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
1410×associate-*r/
1014×associate-*l/
1010×associate-/r*
678×associate-/l*
302×add-sqr-sqrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01481
129369
2373769
Stop Event
node limit
Counts
3 → 287
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
(((-.f64 (exp.f64 (log1p.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))))) 1) (2)) ((*.f64 t (/.f64 1 (log1p.f64 (*.f64 y (expm1.f64 z))))) (2)) ((*.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) 1) (2)) ((*.f64 -1 (neg.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))))) (2)) ((*.f64 1 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z))))) (2)) ((*.f64 (sqrt.f64 t) (/.f64 (*.f64 (sqrt.f64 t) 1) (log1p.f64 (*.f64 y (expm1.f64 z))))) (2)) ((*.f64 (sqrt.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z))))) (sqrt.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))))) (2)) ((*.f64 (pow.f64 (cbrt.f64 t) 2) (/.f64 (*.f64 (cbrt.f64 t) 1) (log1p.f64 (*.f64 y (expm1.f64 z))))) (2)) ((*.f64 (cbrt.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z))))) (pow.f64 (cbrt.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z))))) 2)) (2)) ((*.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)))))) (2)) ((*.f64 (/.f64 1 (log1p.f64 (*.f64 y (expm1.f64 z)))) t) (2)) ((*.f64 (neg.f64 t) (/.f64 -1 (log1p.f64 (*.f64 y (expm1.f64 z))))) (2)) ((*.f64 (/.f64 1 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) (/.f64 t (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))))) (2)) ((*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 2)) (/.f64 t (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))))) (2)) ((*.f64 (/.f64 t 1) (/.f64 1 (log1p.f64 (*.f64 y (expm1.f64 z))))) (2)) ((*.f64 (/.f64 -1 (log1p.f64 (*.f64 y (expm1.f64 z)))) (neg.f64 t)) (2)) ((*.f64 (/.f64 (sqrt.f64 t) 1) (/.f64 (sqrt.f64 t) (log1p.f64 (*.f64 y (expm1.f64 z))))) (2)) ((*.f64 (/.f64 (sqrt.f64 t) (log1p.f64 (*.f64 y (expm1.f64 z)))) (sqrt.f64 t)) (2)) ((*.f64 (/.f64 (sqrt.f64 t) (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 2)) (/.f64 (sqrt.f64 t) (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))))) (2)) ((*.f64 (/.f64 (pow.f64 (cbrt.f64 t) 2) 1) (/.f64 (cbrt.f64 t) (log1p.f64 (*.f64 y (expm1.f64 z))))) (2)) ((*.f64 (/.f64 (pow.f64 (cbrt.f64 t) 2) (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) (/.f64 (cbrt.f64 t) (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))))) (2)) ((*.f64 (/.f64 (pow.f64 (cbrt.f64 t) 2) (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 2)) (cbrt.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))))) (2)) ((*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 2)) (cbrt.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))))) (2)) ((*.f64 (/.f64 (pow.f64 (cbrt.f64 t) 2) (log1p.f64 (*.f64 y (expm1.f64 z)))) (cbrt.f64 t)) (2)) ((*.f64 (/.f64 1 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (pow.f64 (cbrt.f64 t) 2))) (cbrt.f64 t)) (2)) ((pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) 1) (2)) ((pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) -1) (2)) ((pow.f64 (sqrt.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z))))) 2) (2)) ((pow.f64 (cbrt.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z))))) 3) (2)) ((pow.f64 (pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) 3) 1/3) (2)) ((neg.f64 (/.f64 t (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))))) (2)) ((sqrt.f64 (pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) 2)) (2)) ((log.f64 (exp.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))))) (2)) ((log.f64 (+.f64 1 (expm1.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z))))))) (2)) ((cbrt.f64 (pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) 3)) (2)) ((expm1.f64 (log1p.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))))) (2)) ((exp.f64 (log.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))))) (2)) ((exp.f64 (*.f64 (log.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z))))) 1)) (2)) ((log1p.f64 (expm1.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))))) (2)))
(((-.f64 (exp.f64 (log1p.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) 1) (2)) ((*.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (/.f64 1 t)) (2)) ((*.f64 -1 (/.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) t)) (2)) ((*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 1) (2)) ((*.f64 1 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) (2)) ((*.f64 (sqrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) (sqrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) (2)) ((*.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)) (2)) ((*.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))) (2)) ((*.f64 (/.f64 1 t) (log1p.f64 (*.f64 y (expm1.f64 z)))) (2)) ((*.f64 (/.f64 1 t) (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 1)) (2)) ((*.f64 (/.f64 -1 t) (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) (2)) ((*.f64 (/.f64 1 (sqrt.f64 t)) (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (sqrt.f64 t))) (2)) ((*.f64 (/.f64 1 (pow.f64 (cbrt.f64 t) 2)) (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (cbrt.f64 t))) (2)) ((*.f64 (/.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 1) (/.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) t)) (2)) ((*.f64 (/.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) t) (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) (2)) ((*.f64 (/.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (pow.f64 (cbrt.f64 t) 2)) (/.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (cbrt.f64 t))) (2)) ((*.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)) (2)) ((*.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))) (2)) ((*.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 2) (pow.f64 (cbrt.f64 t) 2)) (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) (2)) ((*.f64 (pow.f64 t -1) (pow.f64 (/.f64 1 (log1p.f64 (*.f64 y (expm1.f64 z)))) -1)) (2)) ((*.f64 (pow.f64 (sqrt.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z))))) -1) (pow.f64 (sqrt.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z))))) -1)) (2)) ((*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z))))) 2) -1) (pow.f64 (cbrt.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z))))) -1)) (2)) ((*.f64 (/.f64 (sqrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 1) (sqrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) (2)) ((*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 2) 1) (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) (2)) ((*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 2) (cbrt.f64 t)) (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) (2)) ((*.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 2) t) (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) (2)) ((*.f64 (/.f64 1 (/.f64 t 1)) (log1p.f64 (*.f64 y (expm1.f64 z)))) (2)) ((*.f64 (/.f64 1 (/.f64 t (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 2))) (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) (2)) ((*.f64 (/.f64 1 (neg.f64 (neg.f64 t))) (neg.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))))) (2)) ((*.f64 (/.f64 (sqrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) (sqrt.f64 (neg.f64 t))) (sqrt.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))))) (2)) ((*.f64 (/.f64 (/.f64 1 t) -1) (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) (2)) ((*.f64 (/.f64 (/.f64 1 t) (/.f64 1 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))))) (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) (2)) ((*.f64 (/.f64 (/.f64 1 t) (/.f64 1 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 2))) (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) (2)) ((*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 2) (cbrt.f64 (neg.f64 t))) (cbrt.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))))) (2)) ((/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) (2)) ((/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (/.f64 t 1)) (2)) ((/.f64 -1 (neg.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))))) (2)) ((/.f64 -1 (/.f64 (neg.f64 t) (log1p.f64 (*.f64 y (expm1.f64 z))))) (2)) ((/.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 1) (2)) ((/.f64 1 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z))))) (2)) ((/.f64 (sqrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) (sqrt.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))))) (2)) ((/.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (/.f64 t (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))))) (2)) ((/.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (/.f64 (neg.f64 t) (neg.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))))) (2)) ((/.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) (pow.f64 (cbrt.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z))))) 2)) (2)) ((/.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 2))) (2)) ((/.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) (/.f64 (sqrt.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z))))) (cbrt.f64 (sqrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))))) (2)) ((/.f64 (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 2) (cbrt.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))))) (2)) ((/.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (/.f64 t (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 2))) (2)) ((/.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (/.f64 (/.f64 t (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) (cbrt.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))))) (2)) ((/.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 2) (/.f64 t (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))))) (2)) ((/.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 2) (/.f64 (neg.f64 t) (neg.f64 (cbrt.f64 (log1p.f64 (*.f64 y 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((/.f64 (*.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) -2)) 1) (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x)) (2)) ((/.f64 (*.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) -2)) 1) (-.f64 x (/.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) t))) (2)) ((/.f64 (*.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) -3)) 1) (fma.f64 x x (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x)))) (2)) ((/.f64 (*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (/.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) t) 3)) 1) (-.f64 (+.f64 (pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) -2) (*.f64 x x)) (*.f64 x (/.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) t)))) (2)) ((/.f64 (*.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) -2))) 1) (neg.f64 (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x))) (2)) ((/.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) -3))) 1) (neg.f64 (fma.f64 x x (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x))))) (2)) ((/.f64 (*.f64 (sqrt.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) -3))) (sqrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))) (sqrt.f64 (fma.f64 x x (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x))))) (2)) ((/.f64 (*.f64 (sqrt.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) -2))) (sqrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))) (sqrt.f64 (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x))) (2)) ((/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) -3))) (pow.f64 (cbrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) 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(pow.f64 x 3) (pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) -3))))) (2)) ((/.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) -2)) 1) (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x)) (2)) ((/.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) -2)) (sqrt.f64 (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x))) (sqrt.f64 (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x))) (2)) ((/.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) -2)) (*.f64 (cbrt.f64 (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x)) (cbrt.f64 (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x)))) (cbrt.f64 (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x))) (2)) ((/.f64 (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) -3)) 1) (fma.f64 x x (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x)))) (2)) ((/.f64 (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) -3)) (sqrt.f64 (fma.f64 x x (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x))))) (sqrt.f64 (fma.f64 x x (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x))))) (2)) ((/.f64 (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) -3)) (*.f64 (cbrt.f64 (fma.f64 x x (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x)))) (cbrt.f64 (fma.f64 x x (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x)))))) (cbrt.f64 (fma.f64 x x (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x))))) (2)) ((pow.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 1) (2)) ((pow.f64 (sqrt.f64 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(2)) ((fma.f64 (sqrt.f64 x) (sqrt.f64 x) (/.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) t)) (2)) ((fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (/.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) t)) (2)))

simplify240.0ms (1.3%)

Algorithm
egg-herbie
Rules
1478×associate-*l*
1380×associate-/r*
842×associate-*r/
786×+-commutative
678×associate-*l/
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0106231387
1318431035
Stop Event
node limit
Counts
407 → 580
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))))
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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 (*.f64 (sqrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) (sqrt.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) -2)))) (sqrt.f64 (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x)))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) 2) (cbrt.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) -3)))) (cbrt.f64 (fma.f64 x x (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x)))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) 2) (cbrt.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) -2)))) (cbrt.f64 (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x)))
(/.f64 (*.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) -2)) 1) (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x))
(/.f64 (*.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) -2)) 1) (-.f64 x (/.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) t)))
(/.f64 (*.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) -3)) 1) (fma.f64 x x (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x))))
(/.f64 (*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (/.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) t) 3)) 1) (-.f64 (+.f64 (pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) -2) (*.f64 x x)) (*.f64 x (/.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) t))))
(/.f64 (*.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) -2))) 1) (neg.f64 (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x)))
(/.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) -3))) 1) (neg.f64 (fma.f64 x x (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x)))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) -3))) (sqrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))) (sqrt.f64 (fma.f64 x x (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x)))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) -2))) (sqrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))) (sqrt.f64 (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x)))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) -3))) (pow.f64 (cbrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) 2)) (cbrt.f64 (fma.f64 x x (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x)))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) -2))) (pow.f64 (cbrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) 2)) (cbrt.f64 (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x)))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (/.f64 (pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) -3) (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))))) (/.f64 1 (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x))) (+.f64 (pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) -2) (*.f64 x x)))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) -2) 3)) (/.f64 1 (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x))) (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 (/.f64 (pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) -3) (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z))))) (*.f64 (*.f64 x x) (pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) -2)))))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 x 3) (pow.f64 x 3)) (*.f64 (pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) -3) (pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) -3))) (/.f64 1 (fma.f64 x x (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x))))) (+.f64 (pow.f64 x 3) (pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) -3)))
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 x 3) 3) (pow.f64 (pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) -3) 3)) (/.f64 1 (fma.f64 x x (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x))))) (+.f64 (*.f64 (pow.f64 x 3) (pow.f64 x 3)) (+.f64 (*.f64 (pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) -3) (pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) -3)) (*.f64 (pow.f64 x 3) (pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) -3)))))
(/.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) -2)) 1) (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x))
(/.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) -2)) (sqrt.f64 (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x))) (sqrt.f64 (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x)))
(/.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) -2)) (*.f64 (cbrt.f64 (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x)) (cbrt.f64 (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x)))) (cbrt.f64 (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x)))
(/.f64 (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) -3)) 1) (fma.f64 x x (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x))))
(/.f64 (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) -3)) (sqrt.f64 (fma.f64 x x (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x))))) (sqrt.f64 (fma.f64 x x (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x)))))
(/.f64 (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) -3)) (*.f64 (cbrt.f64 (fma.f64 x x (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x)))) (cbrt.f64 (fma.f64 x x (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x)))))) (cbrt.f64 (fma.f64 x x (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x)))))
(pow.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 1)
(pow.f64 (sqrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) 2)
(pow.f64 (cbrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) 3)
(pow.f64 (pow.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 3) 1/3)
(sqrt.f64 (pow.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 2))
(log.f64 (exp.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))))
(cbrt.f64 (pow.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 3))
(expm1.f64 (log1p.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))))
(exp.f64 (log.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))))
(exp.f64 (*.f64 (log.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) 1))
(log1p.f64 (expm1.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))))
(fma.f64 1 x (/.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) t))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (/.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) t))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (/.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 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))
(+.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 (/.f64 t (*.f64 (expm1.f64 z) y)) (fma.f64 1/2 t (neg.f64 (*.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 (/.f64 t (*.f64 (expm1.f64 z) y)) (fma.f64 1/2 t (*.f64 -1 (+.f64 (*.f64 y (*.f64 t (*.f64 (expm1.f64 z) 1/12))) (*.f64 y (*.f64 y (fma.f64 -1/4 (*.f64 t (pow.f64 (expm1.f64 z) 2)) (fma.f64 1/2 (*.f64 (expm1.f64 z) (*.f64 t (*.f64 (expm1.f64 z) 1/12))) (*.f64 t (*.f64 (pow.f64 (expm1.f64 z) 2) 1/6))))))))))
(/.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 (/.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))))) (/.f64 (neg.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)) (neg.f64 (neg.f64 (log.f64 y))))) (/.f64 (neg.f64 t) (*.f64 (expm1.f64 z) (*.f64 y (pow.f64 (+.f64 (log.f64 (expm1.f64 z)) (neg.f64 (neg.f64 (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))))))
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(/.f64 (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) -3)) 1) (fma.f64 x x (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x))))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 t (log1p.f64 (*.f64 (expm1.f64 z) y))) -3)) (fma.f64 x x (*.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) (+.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)))))
(/.f64 (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) -3)) (sqrt.f64 (fma.f64 x x (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x))))) (sqrt.f64 (fma.f64 x x (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x)))))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 t (log1p.f64 (*.f64 (expm1.f64 z) y))) -3)) (*.f64 (sqrt.f64 (fma.f64 x x (*.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) (+.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))))) (sqrt.f64 (fma.f64 x x (*.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) (+.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)))))))
(/.f64 (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) -3)) (*.f64 (cbrt.f64 (fma.f64 x x (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x)))) (cbrt.f64 (fma.f64 x x (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x)))))) (cbrt.f64 (fma.f64 x x (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x)))))
(/.f64 (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 t (log1p.f64 (*.f64 (expm1.f64 z) y))) -3)) (*.f64 (cbrt.f64 (fma.f64 x x (*.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) (+.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))))) (cbrt.f64 (fma.f64 x x (*.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) (+.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))))))) (cbrt.f64 (fma.f64 x x (*.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) (+.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))))))
(/.f64 (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 t (log1p.f64 (*.f64 (expm1.f64 z) y))) -3)) (cbrt.f64 (fma.f64 x x (*.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) (+.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)))))) (*.f64 (cbrt.f64 (fma.f64 x x (*.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) (+.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))))) (cbrt.f64 (fma.f64 x x (*.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) (+.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)))))))
(pow.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 1)
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))
(pow.f64 (sqrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) 2)
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))
(pow.f64 (cbrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) 3)
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))
(pow.f64 (pow.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 3) 1/3)
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))
(sqrt.f64 (pow.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 2))
(sqrt.f64 (pow.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) 2))
(log.f64 (exp.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))))
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))))
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))
(cbrt.f64 (pow.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 3))
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))
(expm1.f64 (log1p.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))))
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))
(exp.f64 (log.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))))
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))
(exp.f64 (*.f64 (log.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) 1))
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))
(log1p.f64 (expm1.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))))
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))
(fma.f64 1 x (/.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) t))
(fma.f64 1 x (/.f64 (neg.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) t))
(fma.f64 1 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (neg.f64 t)))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (/.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) t))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (/.f64 (neg.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) t))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (neg.f64 t)))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (/.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) t))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (/.f64 (neg.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) t))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (neg.f64 t)))

localize7.0ms (0%)

Local Accuracy

Found 2 expressions with local accuracy:

NewAccuracyProgram
100.0%
(-.f64 x (*.f64 (/.f64 y t) z))
92.2%
(*.f64 (/.f64 y t) z)
Compiler

Compiled 23 to 7 computations (69.6% saved)

series6.0ms (0%)

Counts
2 → 84
Calls

21 calls:

TimeVariablePointExpression
2.0ms
z
@inf
(*.f64 (/.f64 y t) z)
1.0ms
y
@0
(*.f64 (/.f64 y t) z)
0.0ms
y
@inf
(*.f64 (/.f64 y t) z)
0.0ms
z
@0
(*.f64 (/.f64 y t) z)
0.0ms
t
@0
(*.f64 (/.f64 y t) z)

rewrite90.0ms (0.5%)

Algorithm
batch-egg-rewrite
Rules
1532×associate-*r/
1058×*-commutative
1010×associate-/r*
980×associate-*l/
764×associate-/l*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0932
119932
2283232
Stop Event
node limit
Counts
2 → 243
Calls
Call 1
Inputs
(*.f64 (/.f64 y t) z)
(-.f64 x (*.f64 (/.f64 y t) z))
Outputs
(((-.f64 (exp.f64 (log1p.f64 (*.f64 y (/.f64 z t)))) 1) (2)) ((/.f64 y (/.f64 t z)) (2)) ((/.f64 z (/.f64 t y)) (2)) ((/.f64 (*.f64 y (/.f64 z t)) 1) (2)) ((/.f64 1 (/.f64 t (*.f64 y z))) (2)) ((/.f64 (sqrt.f64 z) (/.f64 (/.f64 t y) (sqrt.f64 z))) (2)) ((/.f64 (sqrt.f64 y) (/.f64 (/.f64 t z) (sqrt.f64 y))) (2)) ((/.f64 (sqrt.f64 y) (/.f64 t (*.f64 z (sqrt.f64 y)))) (2)) ((/.f64 (cbrt.f64 z) (/.f64 (/.f64 t y) (pow.f64 (cbrt.f64 z) 2))) (2)) ((/.f64 (pow.f64 (cbrt.f64 z) 2) (/.f64 (/.f64 t y) (cbrt.f64 z))) (2)) ((/.f64 (cbrt.f64 y) (/.f64 (/.f64 t z) (pow.f64 (cbrt.f64 y) 2))) (2)) ((/.f64 (pow.f64 (cbrt.f64 y) 2) (/.f64 (/.f64 t z) (cbrt.f64 y))) (2)) ((/.f64 (pow.f64 (cbrt.f64 y) 2) (/.f64 t (*.f64 z (cbrt.f64 y)))) (2)) ((/.f64 (*.f64 y z) t) (2)) ((/.f64 (*.f64 y z) (/.f64 t 1)) (2)) ((/.f64 (neg.f64 y) (/.f64 (neg.f64 t) z)) (2)) ((/.f64 (sqrt.f64 (*.f64 y z)) (/.f64 t (sqrt.f64 (*.f64 y z)))) (2)) ((/.f64 (*.f64 (cbrt.f64 (*.f64 y z)) (cbrt.f64 (*.f64 y z))) (/.f64 t (cbrt.f64 (*.f64 y z)))) (2)) ((/.f64 (*.f64 y (sqrt.f64 z)) (/.f64 t (sqrt.f64 z))) (2)) ((/.f64 (*.f64 y (pow.f64 (cbrt.f64 z) 2)) (/.f64 t (cbrt.f64 z))) (2)) ((/.f64 (*.f64 z (sqrt.f64 (/.f64 y t))) (sqrt.f64 (/.f64 t y))) (2)) ((/.f64 (*.f64 z (sqrt.f64 y)) (/.f64 t (sqrt.f64 y))) (2)) ((/.f64 (*.f64 z (neg.f64 y)) (neg.f64 t)) (2)) ((/.f64 (/.f64 y (/.f64 1 z)) t) (2)) ((/.f64 (/.f64 z (/.f64 (sqrt.f64 t) y)) (sqrt.f64 t)) (2)) ((/.f64 (/.f64 y (/.f64 (pow.f64 (cbrt.f64 t) 2) z)) (cbrt.f64 t)) (2)) ((/.f64 (neg.f64 (*.f64 y z)) (neg.f64 t)) (2)) ((/.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 y)) (/.f64 t (*.f64 (sqrt.f64 z) (sqrt.f64 y)))) (2)) ((/.f64 (/.f64 z t) (/.f64 1 y)) (2)) ((/.f64 (/.f64 z (sqrt.f64 t)) (/.f64 (sqrt.f64 t) y)) (2)) ((/.f64 (*.f64 z -1) (neg.f64 (/.f64 t y))) (2)) ((/.f64 (*.f64 z (neg.f64 (neg.f64 y))) (neg.f64 (neg.f64 t))) (2)) ((/.f64 (*.f64 1 (neg.f64 (*.f64 y z))) (neg.f64 t)) (2)) ((/.f64 (*.f64 -1 z) (neg.f64 (/.f64 t y))) (2)) ((/.f64 (*.f64 z (pow.f64 (cbrt.f64 y) 2)) (/.f64 t (cbrt.f64 y))) (2)) ((/.f64 (*.f64 z (/.f64 y 1)) t) (2)) ((/.f64 (*.f64 z (/.f64 y (sqrt.f64 t))) (sqrt.f64 t)) (2)) ((/.f64 (*.f64 z (/.f64 y (pow.f64 (cbrt.f64 t) 2))) (cbrt.f64 t)) (2)) ((/.f64 (*.f64 1 (*.f64 z (neg.f64 y))) (neg.f64 t)) (2)) ((/.f64 (*.f64 1 (/.f64 y (/.f64 1 z))) t) (2)) ((/.f64 (*.f64 1 (/.f64 z (/.f64 (sqrt.f64 t) y))) (sqrt.f64 t)) (2)) ((/.f64 (*.f64 1 (/.f64 y (/.f64 (pow.f64 (cbrt.f64 t) 2) z))) (cbrt.f64 t)) (2)) ((/.f64 (*.f64 (sqrt.f64 (*.f64 y (/.f64 z t))) (sqrt.f64 (*.f64 y z))) (sqrt.f64 t)) (2)) ((/.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 y (/.f64 z t))) 2) (cbrt.f64 (*.f64 y z))) (cbrt.f64 t)) (2)) ((/.f64 (*.f64 (*.f64 y z) (/.f64 1 (sqrt.f64 t))) (sqrt.f64 t)) (2)) ((/.f64 (*.f64 (*.f64 y z) (/.f64 1 (pow.f64 (cbrt.f64 t) 2))) (cbrt.f64 t)) (2)) ((/.f64 (*.f64 (*.f64 y z) -1) (neg.f64 t)) (2)) ((/.f64 (*.f64 (*.f64 z (sqrt.f64 (/.f64 y t))) 1) (sqrt.f64 (/.f64 t y))) (2)) ((/.f64 (*.f64 (*.f64 z (sqrt.f64 (/.f64 y t))) (sqrt.f64 y)) (sqrt.f64 t)) (2)) ((/.f64 (*.f64 (*.f64 z (sqrt.f64 (/.f64 y t))) (sqrt.f64 (neg.f64 y))) (sqrt.f64 (neg.f64 t))) (2)) ((/.f64 (*.f64 (*.f64 z (pow.f64 (cbrt.f64 (/.f64 y t)) 2)) 1) (cbrt.f64 (/.f64 t y))) (2)) ((/.f64 (*.f64 (*.f64 z (pow.f64 (cbrt.f64 (/.f64 y t)) 2)) (cbrt.f64 y)) (cbrt.f64 t)) (2)) ((/.f64 (*.f64 (*.f64 z (pow.f64 (cbrt.f64 (/.f64 y t)) 2)) (cbrt.f64 (neg.f64 y))) (cbrt.f64 (neg.f64 t))) (2)) ((/.f64 (*.f64 (/.f64 y 1) z) t) (2)) ((/.f64 (*.f64 (/.f64 y (sqrt.f64 t)) z) (sqrt.f64 t)) (2)) ((/.f64 (*.f64 (/.f64 y (pow.f64 (cbrt.f64 t) 2)) z) (cbrt.f64 t)) (2)) ((/.f64 (*.f64 (neg.f64 (*.f64 y z)) 1) (neg.f64 t)) (2)) ((/.f64 (*.f64 (neg.f64 (neg.f64 y)) z) (neg.f64 (neg.f64 t))) (2)) ((/.f64 (*.f64 (pow.f64 (cbrt.f64 y) 2) z) (/.f64 t (cbrt.f64 y))) (2)) ((/.f64 (*.f64 (*.f64 z (neg.f64 y)) 1) (neg.f64 t)) (2)) ((/.f64 (*.f64 (/.f64 y (/.f64 1 z)) 1) t) (2)) ((/.f64 (*.f64 (/.f64 z (/.f64 (sqrt.f64 t) y)) 1) (sqrt.f64 t)) (2)) ((/.f64 (*.f64 (/.f64 y (/.f64 (pow.f64 (cbrt.f64 t) 2) z)) 1) (cbrt.f64 t)) (2)) ((/.f64 (*.f64 1 (*.f64 z (sqrt.f64 (/.f64 y t)))) (sqrt.f64 (/.f64 t y))) (2)) ((/.f64 (*.f64 (sqrt.f64 y) (*.f64 z (sqrt.f64 (/.f64 y t)))) (sqrt.f64 t)) (2)) ((/.f64 (*.f64 (sqrt.f64 (neg.f64 y)) (*.f64 z (sqrt.f64 (/.f64 y t)))) (sqrt.f64 (neg.f64 t))) (2)) ((/.f64 (*.f64 (sqrt.f64 (*.f64 y z)) (sqrt.f64 (*.f64 y (/.f64 z t)))) (sqrt.f64 t)) (2)) ((/.f64 (*.f64 (cbrt.f64 (*.f64 y z)) (pow.f64 (cbrt.f64 (*.f64 y (/.f64 z t))) 2)) (cbrt.f64 t)) (2)) ((/.f64 (*.f64 y (/.f64 z (sqrt.f64 t))) (sqrt.f64 t)) (2)) ((/.f64 (*.f64 y (/.f64 z (cbrt.f64 t))) (pow.f64 (cbrt.f64 t) 2)) (2)) ((/.f64 (/.f64 z 1) (/.f64 t y)) (2)) ((/.f64 (/.f64 (*.f64 y z) (cbrt.f64 t)) (pow.f64 (cbrt.f64 t) 2)) (2)) ((/.f64 (/.f64 (neg.f64 (*.f64 y z)) 1) (neg.f64 t)) (2)) ((/.f64 (/.f64 (neg.f64 (*.f64 y z)) (sqrt.f64 t)) (neg.f64 (sqrt.f64 t))) (2)) ((/.f64 (/.f64 (neg.f64 (*.f64 y z)) (pow.f64 (cbrt.f64 t) 2)) (neg.f64 (cbrt.f64 t))) (2)) ((/.f64 (/.f64 z 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(2)) ((fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 (/.f64 y t) (neg.f64 z))) (2)))

simplify167.0ms (0.9%)

Algorithm
egg-herbie
Rules
1340×associate-/l*
692×associate-*r*
656×times-frac
590×associate-*l*
588×associate-/l/
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
061613133
1169112177
Stop Event
node limit
Counts
327 → 369
Calls
Call 1
Inputs
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(*.f64 -1 (/.f64 (*.f64 y z) t))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
x
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
x
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
x
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(*.f64 -1 (/.f64 (*.f64 y z) t))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(*.f64 -1 (/.f64 (*.f64 y z) t))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(*.f64 -1 (/.f64 (*.f64 y z) t))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
x
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
x
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
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(log.f64 (+.f64 1 (expm1.f64 (-.f64 x (*.f64 y (/.f64 z t))))))
(cbrt.f64 (pow.f64 (-.f64 x (*.f64 y (/.f64 z t))) 3))
(expm1.f64 (log1p.f64 (-.f64 x (*.f64 y (/.f64 z t)))))
(exp.f64 (log.f64 (-.f64 x (*.f64 y (/.f64 z t)))))
(log1p.f64 (expm1.f64 (-.f64 x (*.f64 y (/.f64 z t)))))
(fma.f64 1 x (*.f64 (/.f64 y t) (neg.f64 z)))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (/.f64 y t) (neg.f64 z)))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 (/.f64 y t) (neg.f64 z)))
Outputs
(/.f64 (*.f64 y z) t)
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(/.f64 z (/.f64 t y))
(/.f64 (*.f64 y z) t)
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(*.f64 (/.f64 (cbrt.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 z (/.f64 t y)) 2))) (cbrt.f64 (fma.f64 y (/.f64 z t) x))) (pow.f64 (cbrt.f64 (-.f64 x (/.f64 z (/.f64 t y)))) 2))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (pow.f64 (*.f64 y (/.f64 z t)) 2) (pow.f64 (*.f64 y (/.f64 z t)) 2))) (/.f64 1 (+.f64 (*.f64 y (/.f64 z t)) x))) (+.f64 (*.f64 x x) (pow.f64 (*.f64 y (/.f64 z t)) 2)))
(/.f64 (-.f64 (*.f64 x (pow.f64 x 3)) (pow.f64 (*.f64 y (/.f64 z t)) 4)) (*.f64 (fma.f64 y (/.f64 z t) x) (fma.f64 x x (pow.f64 (*.f64 y (/.f64 z t)) 2))))
(*.f64 (/.f64 (fma.f64 x x (pow.f64 (/.f64 z (/.f64 t y)) 2)) (fma.f64 x x (pow.f64 (/.f64 z (/.f64 t y)) 2))) (-.f64 x (/.f64 z (/.f64 t y))))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (pow.f64 (*.f64 y (/.f64 z t)) 2) 3)) (/.f64 1 (+.f64 (*.f64 y (/.f64 z t)) x))) (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 (*.f64 (pow.f64 (*.f64 y (/.f64 z t)) 2) (pow.f64 (*.f64 y (/.f64 z t)) 2)) (*.f64 (*.f64 x x) (pow.f64 (*.f64 y (/.f64 z t)) 2)))))
(/.f64 (-.f64 (pow.f64 x 6) (pow.f64 (pow.f64 (*.f64 y (/.f64 z t)) 2) 3)) (*.f64 (fma.f64 y (/.f64 z t) x) (+.f64 (*.f64 x (pow.f64 x 3)) (*.f64 (pow.f64 (*.f64 y (/.f64 z t)) 2) (fma.f64 x x (pow.f64 (*.f64 y (/.f64 z t)) 2))))))
(/.f64 (-.f64 (pow.f64 x 6) (pow.f64 (/.f64 z (/.f64 t y)) 6)) (*.f64 (fma.f64 y (/.f64 z t) x) (+.f64 (*.f64 x (pow.f64 x 3)) (*.f64 (pow.f64 (/.f64 z (/.f64 t y)) 2) (fma.f64 x x (pow.f64 (/.f64 z (/.f64 t y)) 2))))))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 x 3) (pow.f64 x 3)) (*.f64 (pow.f64 (*.f64 y (/.f64 z t)) 3) (pow.f64 (*.f64 y (/.f64 z t)) 3))) (/.f64 1 (fma.f64 x x (*.f64 (*.f64 y (/.f64 z t)) (+.f64 (*.f64 y (/.f64 z t)) x))))) (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 y (/.f64 z t)) 3)))
(/.f64 (-.f64 (pow.f64 x 6) (pow.f64 (*.f64 y (/.f64 z t)) 6)) (*.f64 (fma.f64 x x (*.f64 y (*.f64 (/.f64 z t) (fma.f64 y (/.f64 z t) x)))) (+.f64 (pow.f64 (*.f64 y (/.f64 z t)) 3) (pow.f64 x 3))))
(/.f64 (-.f64 (pow.f64 x 6) (pow.f64 (/.f64 z (/.f64 t y)) 6)) (*.f64 (fma.f64 x x (*.f64 (/.f64 z (/.f64 t y)) (fma.f64 y (/.f64 z t) x))) (+.f64 (pow.f64 (/.f64 z (/.f64 t y)) 3) (pow.f64 x 3))))
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 x 3) 3) (pow.f64 (pow.f64 (*.f64 y (/.f64 z t)) 3) 3)) (/.f64 1 (fma.f64 x x (*.f64 (*.f64 y (/.f64 z t)) (+.f64 (*.f64 y (/.f64 z t)) x))))) (+.f64 (*.f64 (pow.f64 x 3) (pow.f64 x 3)) (+.f64 (*.f64 (pow.f64 (*.f64 y (/.f64 z t)) 3) (pow.f64 (*.f64 y (/.f64 z t)) 3)) (*.f64 (pow.f64 x 3) (pow.f64 (*.f64 y (/.f64 z t)) 3)))))
(/.f64 (-.f64 (pow.f64 (pow.f64 x 3) 3) (pow.f64 (pow.f64 (*.f64 y (/.f64 z t)) 3) 3)) (*.f64 (fma.f64 x x (*.f64 y (*.f64 (/.f64 z t) (fma.f64 y (/.f64 z t) x)))) (+.f64 (pow.f64 x 6) (+.f64 (pow.f64 (*.f64 y (/.f64 z t)) 6) (*.f64 (pow.f64 (*.f64 y (/.f64 z t)) 3) (pow.f64 x 3))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 x 3) 3) (pow.f64 (pow.f64 (/.f64 z (/.f64 t y)) 3) 3)) (*.f64 (fma.f64 x x (*.f64 (/.f64 z (/.f64 t y)) (fma.f64 y (/.f64 z t) x))) (+.f64 (*.f64 (pow.f64 (/.f64 z (/.f64 t y)) 3) (pow.f64 x 3)) (+.f64 (pow.f64 x 6) (pow.f64 (/.f64 z (/.f64 t y)) 6)))))
(/.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 y (/.f64 z t)) 2)) 1) (+.f64 (*.f64 y (/.f64 z t)) x))
(fma.f64 (/.f64 y t) (neg.f64 z) x)
(-.f64 x (/.f64 z (/.f64 t y)))
(/.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 y (/.f64 z t)) 2)) (sqrt.f64 (+.f64 (*.f64 y (/.f64 z t)) x))) (sqrt.f64 (+.f64 (*.f64 y (/.f64 z t)) x)))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 y (/.f64 z t)) 2)) (*.f64 (sqrt.f64 (fma.f64 y (/.f64 z t) x)) (sqrt.f64 (fma.f64 y (/.f64 z t) x))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 z (/.f64 t y)) 2)) (*.f64 (sqrt.f64 (fma.f64 y (/.f64 z t) x)) (sqrt.f64 (fma.f64 y (/.f64 z t) x))))
(/.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 y (/.f64 z t)) 2)) (*.f64 (cbrt.f64 (+.f64 (*.f64 y (/.f64 z t)) x)) (cbrt.f64 (+.f64 (*.f64 y (/.f64 z t)) x)))) (cbrt.f64 (+.f64 (*.f64 y (/.f64 z t)) x)))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 y (/.f64 z t)) 2)) (*.f64 (cbrt.f64 (fma.f64 y (/.f64 z t) x)) (*.f64 (cbrt.f64 (fma.f64 y (/.f64 z t) x)) (cbrt.f64 (fma.f64 y (/.f64 z t) x)))))
(/.f64 (/.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 z (/.f64 t y)) 2)) (cbrt.f64 (fma.f64 y (/.f64 z t) x))) (cbrt.f64 (fma.f64 y (/.f64 z t) x))) (cbrt.f64 (fma.f64 y (/.f64 z t) x)))
(/.f64 (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 y (/.f64 z t)) 3)) 1) (fma.f64 x x (*.f64 (*.f64 y (/.f64 z t)) (+.f64 (*.f64 y (/.f64 z t)) x))))
(*.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 y (/.f64 z t)) 3)) (/.f64 1 (fma.f64 x x (*.f64 y (*.f64 (/.f64 z t) (fma.f64 y (/.f64 z t) x))))))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 z (/.f64 t y)) 3)) (fma.f64 x x (*.f64 (/.f64 z (/.f64 t y)) (fma.f64 y (/.f64 z t) x))))
(/.f64 (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 y (/.f64 z t)) 3)) (sqrt.f64 (fma.f64 x x (*.f64 (*.f64 y (/.f64 z t)) (+.f64 (*.f64 y (/.f64 z t)) x))))) (sqrt.f64 (fma.f64 x x (*.f64 (*.f64 y (/.f64 z t)) (+.f64 (*.f64 y (/.f64 z t)) x)))))
(/.f64 (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 y (/.f64 z t)) 3)) (sqrt.f64 (fma.f64 x x (*.f64 y (*.f64 (/.f64 z t) (fma.f64 y (/.f64 z t) x)))))) (sqrt.f64 (fma.f64 x x (*.f64 y (*.f64 (/.f64 z t) (fma.f64 y (/.f64 z t) x))))))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 z (/.f64 t y)) 3)) (*.f64 (sqrt.f64 (fma.f64 x x (*.f64 (/.f64 z (/.f64 t y)) (fma.f64 y (/.f64 z t) x)))) (sqrt.f64 (fma.f64 x x (*.f64 (/.f64 z (/.f64 t y)) (fma.f64 y (/.f64 z t) x))))))
(/.f64 (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 y (/.f64 z t)) 3)) (*.f64 (cbrt.f64 (fma.f64 x x (*.f64 (*.f64 y (/.f64 z t)) (+.f64 (*.f64 y (/.f64 z t)) x)))) (cbrt.f64 (fma.f64 x x (*.f64 (*.f64 y (/.f64 z t)) (+.f64 (*.f64 y (/.f64 z t)) x)))))) (cbrt.f64 (fma.f64 x x (*.f64 (*.f64 y (/.f64 z t)) (+.f64 (*.f64 y (/.f64 z t)) x)))))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 y (/.f64 z t)) 3)) (*.f64 (cbrt.f64 (fma.f64 x x (*.f64 y (*.f64 (/.f64 z t) (fma.f64 y (/.f64 z t) x))))) (*.f64 (cbrt.f64 (fma.f64 x x (*.f64 y (*.f64 (/.f64 z t) (fma.f64 y (/.f64 z t) x))))) (cbrt.f64 (fma.f64 x x (*.f64 y (*.f64 (/.f64 z t) (fma.f64 y (/.f64 z t) x))))))))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 z (/.f64 t y)) 3)) (*.f64 (cbrt.f64 (fma.f64 x x (*.f64 (/.f64 z (/.f64 t y)) (fma.f64 y (/.f64 z t) x)))) (*.f64 (cbrt.f64 (fma.f64 x x (*.f64 (/.f64 z (/.f64 t y)) (fma.f64 y (/.f64 z t) x)))) (cbrt.f64 (fma.f64 x x (*.f64 (/.f64 z (/.f64 t y)) (fma.f64 y (/.f64 z t) x)))))))
(pow.f64 (-.f64 x (*.f64 y (/.f64 z t))) 1)
(fma.f64 (/.f64 y t) (neg.f64 z) x)
(-.f64 x (/.f64 z (/.f64 t y)))
(pow.f64 (sqrt.f64 (-.f64 x (*.f64 y (/.f64 z t)))) 2)
(fma.f64 (/.f64 y t) (neg.f64 z) x)
(-.f64 x (/.f64 z (/.f64 t y)))
(pow.f64 (cbrt.f64 (-.f64 x (*.f64 y (/.f64 z t)))) 3)
(fma.f64 (/.f64 y t) (neg.f64 z) x)
(-.f64 x (/.f64 z (/.f64 t y)))
(pow.f64 (pow.f64 (-.f64 x (*.f64 y (/.f64 z t))) 3) 1/3)
(fma.f64 (/.f64 y t) (neg.f64 z) x)
(-.f64 x (/.f64 z (/.f64 t y)))
(sqrt.f64 (pow.f64 (-.f64 x (*.f64 y (/.f64 z t))) 2))
(sqrt.f64 (pow.f64 (fma.f64 (/.f64 y t) (neg.f64 z) x) 2))
(sqrt.f64 (pow.f64 (-.f64 x (/.f64 z (/.f64 t y))) 2))
(log.f64 (exp.f64 (-.f64 x (*.f64 y (/.f64 z t)))))
(fma.f64 (/.f64 y t) (neg.f64 z) x)
(-.f64 x (/.f64 z (/.f64 t y)))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 x (*.f64 y (/.f64 z t))))))
(fma.f64 (/.f64 y t) (neg.f64 z) x)
(-.f64 x (/.f64 z (/.f64 t y)))
(cbrt.f64 (pow.f64 (-.f64 x (*.f64 y (/.f64 z t))) 3))
(fma.f64 (/.f64 y t) (neg.f64 z) x)
(-.f64 x (/.f64 z (/.f64 t y)))
(expm1.f64 (log1p.f64 (-.f64 x (*.f64 y (/.f64 z t)))))
(fma.f64 (/.f64 y t) (neg.f64 z) x)
(-.f64 x (/.f64 z (/.f64 t y)))
(exp.f64 (log.f64 (-.f64 x (*.f64 y (/.f64 z t)))))
(fma.f64 (/.f64 y t) (neg.f64 z) x)
(-.f64 x (/.f64 z (/.f64 t y)))
(log1p.f64 (expm1.f64 (-.f64 x (*.f64 y (/.f64 z t)))))
(fma.f64 (/.f64 y t) (neg.f64 z) x)
(-.f64 x (/.f64 z (/.f64 t y)))
(fma.f64 1 x (*.f64 (/.f64 y t) (neg.f64 z)))
(fma.f64 (/.f64 y t) (neg.f64 z) x)
(-.f64 x (/.f64 z (/.f64 t y)))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (/.f64 y t) (neg.f64 z)))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 z (/.f64 (neg.f64 y) t)))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 (/.f64 y t) (neg.f64 z)))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 z (/.f64 (neg.f64 y) t)))

localize9.0ms (0%)

Local Accuracy

Found 2 expressions with local accuracy:

NewAccuracyProgram
100.0%
(-.f64 x (/.f64 (expm1.f64 z) (/.f64 t y)))
95.5%
(/.f64 (expm1.f64 z) (/.f64 t y))
Compiler

Compiled 27 to 8 computations (70.4% saved)

series29.0ms (0.2%)

Counts
2 → 84
Calls

21 calls:

TimeVariablePointExpression
25.0ms
y
@inf
(/.f64 (expm1.f64 z) (/.f64 t y))
0.0ms
t
@inf
(/.f64 (expm1.f64 z) (/.f64 t y))
0.0ms
x
@0
(-.f64 x (/.f64 (expm1.f64 z) (/.f64 t y)))
0.0ms
z
@0
(/.f64 (expm1.f64 z) (/.f64 t y))
0.0ms
z
@-inf
(/.f64 (expm1.f64 z) (/.f64 t y))

rewrite94.0ms (0.5%)

Algorithm
batch-egg-rewrite
Rules
1906×associate-*l/
1680×associate-/l*
720×associate-/r/
504×distribute-lft-in
386×associate-/l/
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01140
123740
2339840
Stop Event
node limit
Counts
2 → 190
Calls
Call 1
Inputs
(/.f64 (expm1.f64 z) (/.f64 t y))
(-.f64 x (/.f64 (expm1.f64 z) (/.f64 t y)))
Outputs
(((+.f64 (*.f64 (/.f64 y t) (exp.f64 z)) (*.f64 (/.f64 y t) -1)) (2)) ((-.f64 (exp.f64 (log1p.f64 (*.f64 (expm1.f64 z) (/.f64 y t)))) 1) (2)) ((-.f64 (/.f64 (exp.f64 z) (/.f64 t y)) (/.f64 y t)) (2)) ((*.f64 (expm1.f64 z) (/.f64 y t)) (2)) ((*.f64 y (/.f64 (expm1.f64 z) t)) (2)) ((*.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) 1) (2)) ((*.f64 1 (*.f64 (expm1.f64 z) (/.f64 y t))) (2)) ((*.f64 (sqrt.f64 (expm1.f64 z)) (*.f64 (sqrt.f64 (expm1.f64 z)) (/.f64 y t))) (2)) ((*.f64 (sqrt.f64 (*.f64 (expm1.f64 z) (/.f64 y t))) (sqrt.f64 (*.f64 (expm1.f64 z) (/.f64 y t)))) (2)) ((*.f64 (pow.f64 (cbrt.f64 (expm1.f64 z)) 2) (*.f64 (cbrt.f64 (expm1.f64 z)) (/.f64 y t))) (2)) ((*.f64 (cbrt.f64 (*.f64 (expm1.f64 z) (/.f64 y t))) (pow.f64 (cbrt.f64 (*.f64 (expm1.f64 z) (/.f64 y t))) 2)) (2)) ((*.f64 (pow.f64 (cbrt.f64 (*.f64 (expm1.f64 z) (/.f64 y t))) 2) (cbrt.f64 (*.f64 (expm1.f64 z) (/.f64 y t)))) (2)) ((*.f64 (/.f64 (expm1.f64 z) t) y) (2)) ((*.f64 (/.f64 y t) (expm1.f64 z)) (2)) ((*.f64 (neg.f64 (expm1.f64 z)) (*.f64 -1 (/.f64 y t))) (2)) ((*.f64 (*.f64 (/.f64 (expm1.f64 z) t) (sqrt.f64 y)) (sqrt.f64 y)) (2)) ((*.f64 (*.f64 (/.f64 (expm1.f64 z) t) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y)) (2)) ((*.f64 (/.f64 (expm1.f64 z) 1) (/.f64 y t)) (2)) ((*.f64 (/.f64 (expm1.f64 z) (sqrt.f64 t)) (/.f64 y (sqrt.f64 t))) (2)) ((*.f64 (/.f64 (expm1.f64 z) (pow.f64 (cbrt.f64 t) 2)) (/.f64 y (cbrt.f64 t))) (2)) ((*.f64 (/.f64 1 t) (*.f64 (expm1.f64 z) y)) (2)) ((*.f64 (/.f64 1 t) (*.f64 (/.f64 (expm1.f64 z) 1) y)) (2)) ((*.f64 (/.f64 (sqrt.f64 y) (sqrt.f64 t)) (/.f64 (expm1.f64 z) (sqrt.f64 (/.f64 t y)))) (2)) ((*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 t y)) 2)) (/.f64 (expm1.f64 z) (cbrt.f64 (/.f64 t y)))) (2)) ((*.f64 (/.f64 1 (neg.f64 t)) (*.f64 (expm1.f64 z) (neg.f64 y))) (2)) ((*.f64 (/.f64 (expm1.f64 z) (neg.f64 t)) (neg.f64 y)) (2)) ((*.f64 (*.f64 -1 (/.f64 y t)) (neg.f64 (expm1.f64 z))) (2)) ((*.f64 (/.f64 (sqrt.f64 (expm1.f64 z)) 1) (/.f64 (sqrt.f64 (expm1.f64 z)) (/.f64 t y))) (2)) 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(*.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) (+.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) x))))) (+.f64 (*.f64 (pow.f64 x 3) (pow.f64 x 3)) (+.f64 (*.f64 (pow.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) 3) (pow.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) 3)) (*.f64 (pow.f64 x 3) (pow.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) 3))))) (2)) ((pow.f64 (-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t))) 1) (2)) ((pow.f64 (sqrt.f64 (-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t)))) 2) (2)) ((pow.f64 (cbrt.f64 (-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t)))) 3) (2)) ((pow.f64 (pow.f64 (-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t))) 3) 1/3) (2)) ((sqrt.f64 (pow.f64 (-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t))) 2)) (2)) ((log.f64 (exp.f64 (-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t))))) (2)) ((log.f64 (+.f64 1 (expm1.f64 (-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t)))))) (2)) ((cbrt.f64 (pow.f64 (-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t))) 3)) (2)) ((expm1.f64 (log1p.f64 (-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t))))) (2)) ((exp.f64 (log.f64 (-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t))))) (2)) ((exp.f64 (*.f64 (log.f64 (-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t)))) 1)) (2)) ((log1p.f64 (expm1.f64 (-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t))))) (2)) ((fma.f64 1 x (*.f64 (/.f64 y t) (neg.f64 (expm1.f64 z)))) (2)) ((fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (/.f64 y t) (neg.f64 (expm1.f64 z)))) (2)) ((fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 (/.f64 y t) (neg.f64 (expm1.f64 z)))) (2)))

simplify208.0ms (1.1%)

Algorithm
egg-herbie
Rules
846×+-commutative
810×fma-def
782×associate-*r*
598×associate-*l*
572×*-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
051911482
1152010634
2778510634
Stop Event
node limit
Counts
274 → 279
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 (*.f64 (/.f64 y t) (exp.f64 z)) (*.f64 (/.f64 y t) -1))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (expm1.f64 z) (/.f64 y t)))) 1)
(-.f64 (/.f64 (exp.f64 z) (/.f64 t y)) (/.f64 y t))
(*.f64 (expm1.f64 z) (/.f64 y t))
(*.f64 y (/.f64 (expm1.f64 z) t))
(*.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) 1)
(*.f64 1 (*.f64 (expm1.f64 z) (/.f64 y t)))
(*.f64 (sqrt.f64 (expm1.f64 z)) (*.f64 (sqrt.f64 (expm1.f64 z)) (/.f64 y t)))
(*.f64 (sqrt.f64 (*.f64 (expm1.f64 z) (/.f64 y t))) (sqrt.f64 (*.f64 (expm1.f64 z) (/.f64 y t))))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 z)) 2) (*.f64 (cbrt.f64 (expm1.f64 z)) (/.f64 y t)))
(*.f64 (cbrt.f64 (*.f64 (expm1.f64 z) (/.f64 y t))) (pow.f64 (cbrt.f64 (*.f64 (expm1.f64 z) (/.f64 y t))) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (expm1.f64 z) (/.f64 y t))) 2) (cbrt.f64 (*.f64 (expm1.f64 z) (/.f64 y t))))
(*.f64 (/.f64 (expm1.f64 z) t) y)
(*.f64 (/.f64 y t) (expm1.f64 z))
(*.f64 (neg.f64 (expm1.f64 z)) (*.f64 -1 (/.f64 y t)))
(*.f64 (*.f64 (/.f64 (expm1.f64 z) t) (sqrt.f64 y)) (sqrt.f64 y))
(*.f64 (*.f64 (/.f64 (expm1.f64 z) t) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))
(*.f64 (/.f64 (expm1.f64 z) 1) (/.f64 y t))
(*.f64 (/.f64 (expm1.f64 z) (sqrt.f64 t)) (/.f64 y (sqrt.f64 t)))
(*.f64 (/.f64 (expm1.f64 z) (pow.f64 (cbrt.f64 t) 2)) (/.f64 y (cbrt.f64 t)))
(*.f64 (/.f64 1 t) (*.f64 (expm1.f64 z) y))
(*.f64 (/.f64 1 t) (*.f64 (/.f64 (expm1.f64 z) 1) y))
(*.f64 (/.f64 (sqrt.f64 y) (sqrt.f64 t)) (/.f64 (expm1.f64 z) (sqrt.f64 (/.f64 t y))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 t y)) 2)) (/.f64 (expm1.f64 z) (cbrt.f64 (/.f64 t y))))
(*.f64 (/.f64 1 (neg.f64 t)) (*.f64 (expm1.f64 z) (neg.f64 y)))
(*.f64 (/.f64 (expm1.f64 z) (neg.f64 t)) (neg.f64 y))
(*.f64 (*.f64 -1 (/.f64 y t)) (neg.f64 (expm1.f64 z)))
(*.f64 (/.f64 (sqrt.f64 (expm1.f64 z)) 1) (/.f64 (sqrt.f64 (expm1.f64 z)) (/.f64 t y)))
(*.f64 (/.f64 (sqrt.f64 (expm1.f64 z)) t) (/.f64 (sqrt.f64 (expm1.f64 z)) (/.f64 1 y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 z)) 2) 1) (*.f64 (/.f64 (cbrt.f64 (expm1.f64 z)) t) y))
(*.f64 (/.f64 (sqrt.f64 (expm1.f64 z)) (/.f64 t y)) (sqrt.f64 (expm1.f64 z)))
(*.f64 (/.f64 (sqrt.f64 (expm1.f64 z)) (pow.f64 (cbrt.f64 (/.f64 t y)) 2)) (/.f64 (sqrt.f64 (expm1.f64 z)) (cbrt.f64 (/.f64 t y))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 z)) 2) t) (*.f64 (/.f64 (cbrt.f64 (expm1.f64 z)) 1) y))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 z)) 2) (sqrt.f64 (/.f64 t y))) (/.f64 (cbrt.f64 (expm1.f64 z)) (sqrt.f64 (/.f64 t y))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 z)) 2) (pow.f64 (cbrt.f64 (/.f64 t y)) 2)) (cbrt.f64 (*.f64 (expm1.f64 z) (/.f64 y t))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 z)) 2) (/.f64 t y)) (cbrt.f64 (expm1.f64 z)))
(*.f64 (/.f64 (expm1.f64 z) (/.f64 t (sqrt.f64 y))) (sqrt.f64 y))
(*.f64 (/.f64 (expm1.f64 z) -1) (neg.f64 (/.f64 y t)))
(*.f64 (/.f64 (expm1.f64 z) (/.f64 t (pow.f64 (cbrt.f64 y) 2))) (cbrt.f64 y))
(*.f64 (/.f64 (expm1.f64 z) (neg.f64 (neg.f64 t))) (neg.f64 (neg.f64 y)))
(*.f64 (/.f64 1 (/.f64 (/.f64 t y) (pow.f64 (cbrt.f64 (expm1.f64 z)) 2))) (cbrt.f64 (expm1.f64 z)))
(*.f64 (/.f64 (/.f64 (expm1.f64 z) t) 1) y)
(*.f64 (/.f64 (/.f64 (expm1.f64 z) t) 1) (/.f64 y 1))
(*.f64 (/.f64 (/.f64 (expm1.f64 z) t) (/.f64 1 (sqrt.f64 y))) (sqrt.f64 y))
(*.f64 (/.f64 (/.f64 (expm1.f64 z) t) (/.f64 1 (pow.f64 (cbrt.f64 y) 2))) (cbrt.f64 y))
(*.f64 (/.f64 (/.f64 (expm1.f64 z) t) -1) (neg.f64 y))
(*.f64 (/.f64 (neg.f64 (expm1.f64 z)) -1) (/.f64 y t))
(*.f64 (/.f64 (neg.f64 (expm1.f64 z)) (neg.f64 (neg.f64 t))) (neg.f64 y))
(*.f64 (/.f64 (/.f64 (expm1.f64 z) 1) 1) (/.f64 y t))
(*.f64 (/.f64 (/.f64 (expm1.f64 z) 1) (sqrt.f64 t)) (/.f64 y (sqrt.f64 t)))
(*.f64 (/.f64 (/.f64 (expm1.f64 z) 1) (pow.f64 (cbrt.f64 t) 2)) (/.f64 y (cbrt.f64 t)))
(*.f64 (/.f64 (/.f64 (expm1.f64 z) 1) (neg.f64 t)) (neg.f64 y))
(*.f64 (/.f64 (/.f64 (expm1.f64 z) 1) (/.f64 t 1)) y)
(*.f64 (/.f64 (/.f64 (expm1.f64 z) 1) (/.f64 t (sqrt.f64 y))) (sqrt.f64 y))
(*.f64 (/.f64 (/.f64 (expm1.f64 z) 1) (/.f64 t (pow.f64 (cbrt.f64 y) 2))) (cbrt.f64 y))
(*.f64 (/.f64 (/.f64 (expm1.f64 z) 1) -1) (neg.f64 (/.f64 y t)))
(*.f64 (/.f64 (/.f64 (expm1.f64 z) 1) (neg.f64 (neg.f64 t))) (neg.f64 (neg.f64 y)))
(*.f64 (/.f64 (/.f64 (expm1.f64 z) (sqrt.f64 (/.f64 t y))) 1) (sqrt.f64 (/.f64 y t)))
(*.f64 (/.f64 (/.f64 (expm1.f64 z) (sqrt.f64 (/.f64 t y))) (sqrt.f64 (neg.f64 t))) (sqrt.f64 (neg.f64 y)))
(*.f64 (/.f64 (/.f64 (expm1.f64 z) (pow.f64 (cbrt.f64 (/.f64 t y)) 2)) 1) (cbrt.f64 (/.f64 y t)))
(*.f64 (/.f64 (/.f64 (expm1.f64 z) (pow.f64 (cbrt.f64 (/.f64 t y)) 2)) (cbrt.f64 t)) (cbrt.f64 y))
(*.f64 (/.f64 (/.f64 (expm1.f64 z) (pow.f64 (cbrt.f64 (/.f64 t y)) 2)) (cbrt.f64 (neg.f64 t))) (cbrt.f64 (neg.f64 y)))
(pow.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) 1)
(pow.f64 (sqrt.f64 (*.f64 (expm1.f64 z) (/.f64 y t))) 2)
(pow.f64 (cbrt.f64 (*.f64 (expm1.f64 z) (/.f64 y t))) 3)
(pow.f64 (/.f64 (/.f64 t y) (expm1.f64 z)) -1)
(pow.f64 (pow.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) 3) 1/3)
(neg.f64 (*.f64 (/.f64 (expm1.f64 z) (neg.f64 t)) y))
(sqrt.f64 (pow.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) 2))
(log.f64 (pow.f64 (exp.f64 (expm1.f64 z)) (/.f64 y t)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (expm1.f64 z) (/.f64 y t)))))
(cbrt.f64 (pow.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) 3))
(expm1.f64 (log1p.f64 (*.f64 (expm1.f64 z) (/.f64 y t))))
(exp.f64 (log.f64 (*.f64 (expm1.f64 z) (/.f64 y t))))
(exp.f64 (*.f64 (log.f64 (*.f64 (expm1.f64 z) (/.f64 y t))) 1))
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(*.f64 (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) 3)) (+.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (*.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) (+.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) x)) 3))) (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (-.f64 (*.f64 (*.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) (+.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) x)) (*.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) (+.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) x))) (*.f64 (*.f64 x x) (*.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) (+.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) x))))))
(/.f64 1 (/.f64 1 (-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t)))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) 2)) (+.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) x))
(/.f64 (+.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) x) (/.f64 (+.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) x) (-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t)))))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) 3)) (fma.f64 x x (*.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) (+.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) x))))
(/.f64 (fma.f64 x x (*.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) (+.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) x))) (/.f64 (fma.f64 x x (*.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) (+.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) x))) (-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t)))))
(/.f64 (sqrt.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) 2))) (/.f64 (+.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) x) (sqrt.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) 2)))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) 3))) (/.f64 (fma.f64 x x (*.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) (+.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) x))) (sqrt.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) 3)))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) 2))) (cbrt.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) 2)))) (/.f64 (+.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) x) (cbrt.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) 2)))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) 3))) (cbrt.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) 3)))) (/.f64 (fma.f64 x x (*.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) (+.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) x))) (cbrt.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) 3)))))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (/.f64 y t) (neg.f64 (expm1.f64 z))) (*.f64 (/.f64 y t) (neg.f64 (expm1.f64 z))))) (-.f64 x (*.f64 (/.f64 y t) (neg.f64 (expm1.f64 z)))))
(/.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (/.f64 (pow.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) 3) (/.f64 (/.f64 t y) (expm1.f64 z)))) (*.f64 (+.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) x) (+.f64 (pow.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) 2) (*.f64 x x))))
(/.f64 (-.f64 (*.f64 (pow.f64 x 3) (pow.f64 x 3)) (*.f64 (pow.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) 3) (pow.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) 3))) (*.f64 (fma.f64 x x (*.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) (+.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) x))) (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) 3))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 (/.f64 y t) (neg.f64 (expm1.f64 z))) 3)) (+.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 (/.f64 y t) (neg.f64 (expm1.f64 z))) (*.f64 (/.f64 y t) (neg.f64 (expm1.f64 z)))) (*.f64 x (*.f64 (/.f64 y t) (neg.f64 (expm1.f64 z)))))))
(/.f64 (-.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (pow.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) 2) 3)) (*.f64 (+.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) x) (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 (/.f64 (pow.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) 3) (/.f64 (/.f64 t y) (expm1.f64 z))) (*.f64 (*.f64 x x) (pow.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) 2))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 x 3) 3) (pow.f64 (pow.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) 3) 3)) (*.f64 (fma.f64 x x (*.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) (+.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) x))) (+.f64 (*.f64 (pow.f64 x 3) (pow.f64 x 3)) (+.f64 (*.f64 (pow.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) 3) (pow.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) 3)) (*.f64 (pow.f64 x 3) (pow.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) 3))))))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) 2))) (neg.f64 (+.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) 3))) (neg.f64 (fma.f64 x x (*.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) (+.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) x)))))
(/.f64 (*.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) 2)) 1) (+.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) x))
(/.f64 (*.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) 3)) 1) (fma.f64 x x (*.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) (+.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) x))))
(/.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (/.f64 y t) (neg.f64 (expm1.f64 z))) (*.f64 (/.f64 y t) (neg.f64 (expm1.f64 z))))) 1) (-.f64 x (*.f64 (/.f64 y t) (neg.f64 (expm1.f64 z)))))
(/.f64 (*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 (/.f64 y t) (neg.f64 (expm1.f64 z))) 3)) 1) (+.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 (/.f64 y t) (neg.f64 (expm1.f64 z))) (*.f64 (/.f64 y t) (neg.f64 (expm1.f64 z)))) (*.f64 x (*.f64 (/.f64 y t) (neg.f64 (expm1.f64 z)))))))
(/.f64 (*.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) 2))) 1) (neg.f64 (+.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) x)))
(/.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) 3))) 1) (neg.f64 (fma.f64 x x (*.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) (+.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) x)))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) 2))) (sqrt.f64 (-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t))))) (sqrt.f64 (+.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) x)))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) 3))) (sqrt.f64 (-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t))))) (sqrt.f64 (fma.f64 x x (*.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) (+.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) x)))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) 2))) (pow.f64 (cbrt.f64 (-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t)))) 2)) (cbrt.f64 (+.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) x)))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) 3))) (pow.f64 (cbrt.f64 (-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t)))) 2)) (cbrt.f64 (fma.f64 x x (*.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) (+.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) x)))))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (/.f64 (pow.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) 3) (/.f64 (/.f64 t y) (expm1.f64 z)))) (/.f64 1 (+.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) x))) (+.f64 (pow.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) 2) (*.f64 x x)))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (pow.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) 2) 3)) (/.f64 1 (+.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) x))) (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 (/.f64 (pow.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) 3) (/.f64 (/.f64 t y) (expm1.f64 z))) (*.f64 (*.f64 x x) (pow.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) 2)))))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 x 3) (pow.f64 x 3)) (*.f64 (pow.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) 3) (pow.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) 3))) (/.f64 1 (fma.f64 x x (*.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) (+.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) x))))) (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) 3)))
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 x 3) 3) (pow.f64 (pow.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) 3) 3)) (/.f64 1 (fma.f64 x x (*.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) (+.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) x))))) (+.f64 (*.f64 (pow.f64 x 3) (pow.f64 x 3)) (+.f64 (*.f64 (pow.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) 3) (pow.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) 3)) (*.f64 (pow.f64 x 3) (pow.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) 3)))))
(pow.f64 (-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t))) 1)
(pow.f64 (sqrt.f64 (-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t)))) 2)
(pow.f64 (cbrt.f64 (-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t)))) 3)
(pow.f64 (pow.f64 (-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t))) 3) 1/3)
(sqrt.f64 (pow.f64 (-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t))) 2))
(log.f64 (exp.f64 (-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t)))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t))))))
(cbrt.f64 (pow.f64 (-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t))) 3))
(expm1.f64 (log1p.f64 (-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t)))))
(exp.f64 (log.f64 (-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t)))))
(exp.f64 (*.f64 (log.f64 (-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t)))) 1))
(log1p.f64 (expm1.f64 (-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t)))))
(fma.f64 1 x (*.f64 (/.f64 y t) (neg.f64 (expm1.f64 z))))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (/.f64 y t) (neg.f64 (expm1.f64 z))))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 (/.f64 y t) (neg.f64 (expm1.f64 z))))
Outputs
(/.f64 (*.f64 y z) t)
(/.f64 y (/.f64 t z))
(*.f64 (/.f64 y t) z)
(+.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 y (/.f64 t (*.f64 z z)))))
(fma.f64 1/2 (*.f64 (/.f64 y t) (*.f64 z z)) (*.f64 (/.f64 y t) z))
(+.f64 (*.f64 1/6 (/.f64 (*.f64 y (pow.f64 z 3)) t)) (+.f64 (/.f64 (*.f64 y z) t) (*.f64 1/2 (/.f64 (*.f64 y (pow.f64 z 2)) t))))
(fma.f64 1/6 (/.f64 y (/.f64 t (pow.f64 z 3))) (+.f64 (/.f64 y (/.f64 t z)) (*.f64 1/2 (/.f64 y (/.f64 t (*.f64 z z))))))
(fma.f64 1/6 (*.f64 (/.f64 y t) (pow.f64 z 3)) (fma.f64 1/2 (*.f64 (/.f64 y t) (*.f64 z z)) (*.f64 (/.f64 y t) z)))
(+.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 y (/.f64 t (*.f64 z z)))))))
(fma.f64 1/24 (*.f64 (/.f64 y t) (pow.f64 z 4)) (fma.f64 1/6 (*.f64 (/.f64 y t) (pow.f64 z 3)) (fma.f64 1/2 (*.f64 (/.f64 y t) (*.f64 z z)) (*.f64 (/.f64 y t) z))))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(*.f64 y (/.f64 (expm1.f64 z) t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(*.f64 y (/.f64 (expm1.f64 z) t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(*.f64 y (/.f64 (expm1.f64 z) t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(*.f64 y (/.f64 (expm1.f64 z) t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(*.f64 y (/.f64 (expm1.f64 z) t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(*.f64 y (/.f64 (expm1.f64 z) t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(*.f64 y (/.f64 (expm1.f64 z) t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(*.f64 y (/.f64 (expm1.f64 z) t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(*.f64 y (/.f64 (expm1.f64 z) t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(*.f64 y (/.f64 (expm1.f64 z) t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(*.f64 y (/.f64 (expm1.f64 z) t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(*.f64 y (/.f64 (expm1.f64 z) t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(*.f64 y (/.f64 (expm1.f64 z) t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(*.f64 y (/.f64 (expm1.f64 z) t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(*.f64 y (/.f64 (expm1.f64 z) t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(*.f64 y (/.f64 (expm1.f64 z) t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(*.f64 y (/.f64 (expm1.f64 z) t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(*.f64 y (/.f64 (expm1.f64 z) t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(*.f64 y (/.f64 (expm1.f64 z) t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(*.f64 y (/.f64 (expm1.f64 z) t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(*.f64 y (/.f64 (expm1.f64 z) t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(*.f64 y (/.f64 (expm1.f64 z) t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(*.f64 y (/.f64 (expm1.f64 z) t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(*.f64 y (/.f64 (expm1.f64 z) t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(*.f64 y (/.f64 (expm1.f64 z) t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(*.f64 y (/.f64 (expm1.f64 z) t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(*.f64 y (/.f64 (expm1.f64 z) t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(*.f64 y (/.f64 (expm1.f64 z) t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(*.f64 y (/.f64 (expm1.f64 z) t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(*.f64 y (/.f64 (expm1.f64 z) t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(*.f64 y (/.f64 (expm1.f64 z) t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(*.f64 y (/.f64 (expm1.f64 z) t))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(*.f64 (/.f64 y t) (neg.f64 (expm1.f64 z)))
(*.f64 (/.f64 (neg.f64 y) t) (expm1.f64 z))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)) x)
(-.f64 x (*.f64 y (/.f64 (expm1.f64 z) t)))
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(/.f64 (-.f64 (pow.f64 x 6) (pow.f64 (*.f64 y (/.f64 (expm1.f64 z) t)) 6)) (*.f64 (fma.f64 x x (*.f64 (*.f64 y (/.f64 (expm1.f64 z) t)) (fma.f64 (expm1.f64 z) (/.f64 y t) x))) (+.f64 (pow.f64 (*.f64 y (/.f64 (expm1.f64 z) t)) 3) (pow.f64 x 3))))
(/.f64 (-.f64 (pow.f64 x 6) (pow.f64 (*.f64 y (/.f64 (expm1.f64 z) t)) 6)) (*.f64 (fma.f64 x x (*.f64 (*.f64 y (/.f64 (expm1.f64 z) t)) (fma.f64 y (/.f64 (expm1.f64 z) t) x))) (+.f64 (pow.f64 (*.f64 y (/.f64 (expm1.f64 z) t)) 3) (pow.f64 x 3))))
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 x 3) 3) (pow.f64 (pow.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) 3) 3)) (/.f64 1 (fma.f64 x x (*.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) (+.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) x))))) (+.f64 (*.f64 (pow.f64 x 3) (pow.f64 x 3)) (+.f64 (*.f64 (pow.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) 3) (pow.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) 3)) (*.f64 (pow.f64 x 3) (pow.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) 3)))))
(/.f64 (-.f64 (pow.f64 (pow.f64 x 3) 3) (pow.f64 (pow.f64 (*.f64 y (/.f64 (expm1.f64 z) t)) 3) 3)) (*.f64 (fma.f64 x x (*.f64 (*.f64 y (/.f64 (expm1.f64 z) t)) (fma.f64 (expm1.f64 z) (/.f64 y t) x))) (+.f64 (+.f64 (pow.f64 x 6) (pow.f64 (*.f64 y (/.f64 (expm1.f64 z) t)) 6)) (*.f64 (pow.f64 (*.f64 y (/.f64 (expm1.f64 z) t)) 3) (pow.f64 x 3)))))
(/.f64 (-.f64 (pow.f64 (pow.f64 x 3) 3) (pow.f64 (pow.f64 (*.f64 y (/.f64 (expm1.f64 z) t)) 3) 3)) (*.f64 (fma.f64 x x (*.f64 (*.f64 y (/.f64 (expm1.f64 z) t)) (fma.f64 y (/.f64 (expm1.f64 z) t) x))) (fma.f64 (pow.f64 (*.f64 y (/.f64 (expm1.f64 z) t)) 3) (+.f64 (pow.f64 (*.f64 y (/.f64 (expm1.f64 z) t)) 3) (pow.f64 x 3)) (pow.f64 x 6))))
(pow.f64 (-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t))) 1)
(-.f64 x (*.f64 y (/.f64 (expm1.f64 z) t)))
(pow.f64 (sqrt.f64 (-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t)))) 2)
(-.f64 x (*.f64 y (/.f64 (expm1.f64 z) t)))
(pow.f64 (cbrt.f64 (-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t)))) 3)
(-.f64 x (*.f64 y (/.f64 (expm1.f64 z) t)))
(pow.f64 (pow.f64 (-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t))) 3) 1/3)
(-.f64 x (*.f64 y (/.f64 (expm1.f64 z) t)))
(sqrt.f64 (pow.f64 (-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t))) 2))
(sqrt.f64 (pow.f64 (-.f64 x (*.f64 y (/.f64 (expm1.f64 z) t))) 2))
(fabs.f64 (-.f64 x (*.f64 y (/.f64 (expm1.f64 z) t))))
(log.f64 (exp.f64 (-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t)))))
(-.f64 x (*.f64 y (/.f64 (expm1.f64 z) t)))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t))))))
(-.f64 x (*.f64 y (/.f64 (expm1.f64 z) t)))
(cbrt.f64 (pow.f64 (-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t))) 3))
(-.f64 x (*.f64 y (/.f64 (expm1.f64 z) t)))
(expm1.f64 (log1p.f64 (-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t)))))
(-.f64 x (*.f64 y (/.f64 (expm1.f64 z) t)))
(exp.f64 (log.f64 (-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t)))))
(-.f64 x (*.f64 y (/.f64 (expm1.f64 z) t)))
(exp.f64 (*.f64 (log.f64 (-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t)))) 1))
(-.f64 x (*.f64 y (/.f64 (expm1.f64 z) t)))
(log1p.f64 (expm1.f64 (-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t)))))
(-.f64 x (*.f64 y (/.f64 (expm1.f64 z) t)))
(fma.f64 1 x (*.f64 (/.f64 y t) (neg.f64 (expm1.f64 z))))
(-.f64 x (*.f64 y (/.f64 (expm1.f64 z) t)))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (/.f64 y t) (neg.f64 (expm1.f64 z))))
(-.f64 x (*.f64 y (/.f64 (expm1.f64 z) t)))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 (/.f64 y t) (neg.f64 (expm1.f64 z))))
(-.f64 x (*.f64 y (/.f64 (expm1.f64 z) t)))

localize11.0ms (0.1%)

Local Accuracy

Found 2 expressions with local accuracy:

NewAccuracyProgram
100.0%
(*.f64 (expm1.f64 z) y)
91.7%
(/.f64 (neg.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) t)
Compiler

Compiled 32 to 9 computations (71.9% saved)

series3.0ms (0%)

Counts
2 → 60
Calls

15 calls:

TimeVariablePointExpression
1.0ms
z
@0
(/.f64 (neg.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) t)
0.0ms
z
@-inf
(/.f64 (neg.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) t)
0.0ms
y
@-inf
(/.f64 (neg.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) t)
0.0ms
y
@inf
(/.f64 (neg.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) t)
0.0ms
y
@0
(/.f64 (neg.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) t)

rewrite81.0ms (0.4%)

Algorithm
batch-egg-rewrite
Rules
1988×add-sqr-sqrt
1976×*-un-lft-identity
1828×add-cube-cbrt
1800×add-cbrt-cube
222×pow1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01136
122232
2289632
Stop Event
node limit
Counts
2 → 50
Calls
Call 1
Inputs
(/.f64 (neg.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) t)
(*.f64 (expm1.f64 z) y)
Outputs
(((-.f64 0 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) (2)) ((-.f64 (exp.f64 (log1p.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))) 1) (2)) ((-.f64 (/.f64 0 t) (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) (2)) ((*.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (/.f64 1 t)) (2)) ((*.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (/.f64 1 (neg.f64 t))) (2)) ((*.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) 1) (2)) ((*.f64 1 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) (2)) ((*.f64 (sqrt.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) (sqrt.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))) (2)) ((*.f64 (sqrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) (*.f64 (sqrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) (/.f64 1 t))) (2)) ((*.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) 2)) (2)) ((*.f64 (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) 2) (cbrt.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))) (2)) ((*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) 2) (*.f64 (cbrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) (/.f64 1 t))) (2)) ((*.f64 -1 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) (2)) ((*.f64 (/.f64 1 t) (log1p.f64 (*.f64 (expm1.f64 z) y))) (2)) ((*.f64 (/.f64 1 (sqrt.f64 t)) (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (sqrt.f64 t))) (2)) ((*.f64 (/.f64 1 (pow.f64 (cbrt.f64 t) 2)) (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (cbrt.f64 t))) (2)) ((*.f64 (/.f64 (sqrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) 1) (/.f64 (sqrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) t)) (2)) ((*.f64 (/.f64 (sqrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) (pow.f64 (cbrt.f64 t) 2)) (/.f64 (sqrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) (cbrt.f64 t))) (2)) ((*.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) 2) 1) (/.f64 (cbrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) t)) (2)) ((*.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) 2) (sqrt.f64 t)) (/.f64 (cbrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) (sqrt.f64 t))) (2)) ((*.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) 2) (pow.f64 (cbrt.f64 t) 2)) (cbrt.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))) (2)) ((*.f64 (/.f64 -1 (sqrt.f64 t)) (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (sqrt.f64 t))) (2)) ((*.f64 (/.f64 -1 (pow.f64 (cbrt.f64 t) 2)) (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (cbrt.f64 t))) (2)) ((pow.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) 1) (2)) ((pow.f64 (sqrt.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) 2) (2)) ((pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) 3) (2)) ((pow.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) 3) 1/3) (2)) ((pow.f64 (/.f64 t (log1p.f64 (*.f64 (expm1.f64 z) y))) -1) (2)) ((neg.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) (2)) ((sqrt.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) 2)) (2)) ((log.f64 (exp.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))) (2)) ((log.f64 (+.f64 1 (expm1.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)))) (2)) ((cbrt.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) 3)) (2)) ((expm1.f64 (log1p.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))) (2)) ((exp.f64 (log.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))) (2)) ((exp.f64 (*.f64 (log.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) 1)) (2)) ((log1p.f64 (expm1.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))) (2)))
(((-.f64 (+.f64 (*.f64 (expm1.f64 z) y) 1) 1) (2)) ((pow.f64 (*.f64 (expm1.f64 z) y) 1) (2)) ((pow.f64 (sqrt.f64 (*.f64 (expm1.f64 z) y)) 2) (2)) ((pow.f64 (cbrt.f64 (*.f64 (expm1.f64 z) y)) 3) (2)) ((pow.f64 (pow.f64 (*.f64 (expm1.f64 z) y) 3) 1/3) (2)) ((sqrt.f64 (pow.f64 (*.f64 (expm1.f64 z) y) 2)) (2)) ((log.f64 (pow.f64 (exp.f64 y) (expm1.f64 z))) (2)) ((log.f64 (+.f64 1 (expm1.f64 (*.f64 (expm1.f64 z) y)))) (2)) ((cbrt.f64 (pow.f64 (*.f64 (expm1.f64 z) y) 3)) (2)) ((expm1.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) (2)) ((exp.f64 (log.f64 (*.f64 (expm1.f64 z) y))) (2)) ((exp.f64 (*.f64 (log.f64 (*.f64 (expm1.f64 z) y)) 1)) (2)) ((log1p.f64 (expm1.f64 (*.f64 (expm1.f64 z) y))) (2)))

simplify112.0ms (0.6%)

Algorithm
egg-herbie
Rules
1076×associate-/r*
924×*-commutative
838×associate-/l*
818×unswap-sqr
794×distribute-lft-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02383408
16583230
225433224
Stop Event
node limit
Counts
110 → 147
Calls
Call 1
Inputs
(*.f64 -1 (/.f64 (*.f64 y z) t))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 z 2) (+.f64 (*.f64 -1 (pow.f64 y 2)) y)) t)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) (+.f64 (*.f64 -1/6 (/.f64 (*.f64 (pow.f64 z 3) (+.f64 (*.f64 -3 (pow.f64 y 2)) (+.f64 y (*.f64 2 (pow.f64 y 3))))) t)) (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 z 2) (+.f64 (*.f64 -1 (pow.f64 y 2)) y)) t))))
(+.f64 (*.f64 -1/24 (/.f64 (*.f64 (pow.f64 z 4) (+.f64 (*.f64 -3 (pow.f64 y 2)) (+.f64 y (+.f64 (*.f64 12 (pow.f64 y 3)) (+.f64 (*.f64 -4 (pow.f64 y 2)) (*.f64 -6 (pow.f64 y 4))))))) t)) (+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) (+.f64 (*.f64 -1/6 (/.f64 (*.f64 (pow.f64 z 3) (+.f64 (*.f64 -3 (pow.f64 y 2)) (+.f64 y (*.f64 2 (pow.f64 y 3))))) t)) (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 z 2) (+.f64 (*.f64 -1 (pow.f64 y 2)) y)) t)))))
(*.f64 -1 (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t))
(*.f64 -1 (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t))
(*.f64 -1 (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t))
(*.f64 -1 (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t))
(*.f64 -1 (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t))
(*.f64 -1 (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t))
(*.f64 -1 (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t))
(*.f64 -1 (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (pow.f64 y 2)) t)) (*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)))
(+.f64 (*.f64 -1/3 (/.f64 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 3) (pow.f64 y 3)) t)) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (pow.f64 y 2)) t)) (*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))))
(+.f64 (*.f64 -1/3 (/.f64 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 3) (pow.f64 y 3)) t)) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (pow.f64 y 2)) t)) (+.f64 (*.f64 1/4 (/.f64 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 4) (pow.f64 y 4)) t)) (*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)))))
(*.f64 -1 (/.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) t))
(-.f64 (*.f64 -1 (/.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) t)) (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) (*.f64 y t))))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (*.f64 (pow.f64 y 2) t)))) (*.f64 -1 (/.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) t))) (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) (*.f64 y t))))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (*.f64 (pow.f64 y 2) t)))) (*.f64 -1 (/.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) t))) (+.f64 (*.f64 1/3 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 3) (*.f64 (pow.f64 y 3) t)))) (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) (*.f64 y t)))))
(*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1)))) t))
(-.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1)))) t)) (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) (*.f64 y t))))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (*.f64 (pow.f64 y 2) t)))) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1)))) t))) (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) (*.f64 y t))))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (*.f64 (pow.f64 y 2) t)))) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1)))) t))) (+.f64 (*.f64 1/3 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 3) (*.f64 (pow.f64 y 3) t)))) (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) (*.f64 y t)))))
(*.f64 -1 (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t))
(*.f64 -1 (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t))
(*.f64 -1 (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t))
(*.f64 -1 (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t))
(*.f64 -1 (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t))
(*.f64 -1 (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t))
(*.f64 -1 (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t))
(*.f64 -1 (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t))
(*.f64 -1 (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t))
(*.f64 -1 (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t))
(*.f64 -1 (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t))
(*.f64 -1 (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t))
(*.f64 y z)
(+.f64 (*.f64 y z) (*.f64 1/2 (*.f64 y (pow.f64 z 2))))
(+.f64 (*.f64 y z) (+.f64 (*.f64 1/2 (*.f64 y (pow.f64 z 2))) (*.f64 1/6 (*.f64 y (pow.f64 z 3)))))
(+.f64 (*.f64 y z) (+.f64 (*.f64 1/2 (*.f64 y (pow.f64 z 2))) (+.f64 (*.f64 1/24 (*.f64 y (pow.f64 z 4))) (*.f64 1/6 (*.f64 y (pow.f64 z 3))))))
(*.f64 (-.f64 (exp.f64 z) 1) y)
(*.f64 (-.f64 (exp.f64 z) 1) y)
(*.f64 (-.f64 (exp.f64 z) 1) y)
(*.f64 (-.f64 (exp.f64 z) 1) y)
(*.f64 (-.f64 (exp.f64 z) 1) y)
(*.f64 (-.f64 (exp.f64 z) 1) y)
(*.f64 (-.f64 (exp.f64 z) 1) y)
(*.f64 (-.f64 (exp.f64 z) 1) y)
(*.f64 (-.f64 (exp.f64 z) 1) y)
(*.f64 (-.f64 (exp.f64 z) 1) y)
(*.f64 (-.f64 (exp.f64 z) 1) y)
(*.f64 (-.f64 (exp.f64 z) 1) y)
(*.f64 (-.f64 (exp.f64 z) 1) y)
(*.f64 (-.f64 (exp.f64 z) 1) y)
(*.f64 (-.f64 (exp.f64 z) 1) y)
(*.f64 (-.f64 (exp.f64 z) 1) y)
(*.f64 (-.f64 (exp.f64 z) 1) y)
(*.f64 (-.f64 (exp.f64 z) 1) y)
(*.f64 (-.f64 (exp.f64 z) 1) y)
(*.f64 (-.f64 (exp.f64 z) 1) y)
(-.f64 0 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))) 1)
(-.f64 (/.f64 0 t) (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))
(*.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (/.f64 1 t))
(*.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (/.f64 1 (neg.f64 t)))
(*.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) 1)
(*.f64 1 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))
(*.f64 (sqrt.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) (sqrt.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)))
(*.f64 (sqrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) (*.f64 (sqrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) (/.f64 1 t)))
(*.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) 2) (cbrt.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) 2) (*.f64 (cbrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) (/.f64 1 t)))
(*.f64 -1 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))
(*.f64 (/.f64 1 t) (log1p.f64 (*.f64 (expm1.f64 z) y)))
(*.f64 (/.f64 1 (sqrt.f64 t)) (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (sqrt.f64 t)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 t) 2)) (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (cbrt.f64 t)))
(*.f64 (/.f64 (sqrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) 1) (/.f64 (sqrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) t))
(*.f64 (/.f64 (sqrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) (pow.f64 (cbrt.f64 t) 2)) (/.f64 (sqrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) (cbrt.f64 t)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) 2) 1) (/.f64 (cbrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) t))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) 2) (sqrt.f64 t)) (/.f64 (cbrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) (sqrt.f64 t)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) 2) (pow.f64 (cbrt.f64 t) 2)) (cbrt.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)))
(*.f64 (/.f64 -1 (sqrt.f64 t)) (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (sqrt.f64 t)))
(*.f64 (/.f64 -1 (pow.f64 (cbrt.f64 t) 2)) (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (cbrt.f64 t)))
(pow.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) 1)
(pow.f64 (sqrt.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) 2)
(pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) 3)
(pow.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) 3) 1/3)
(pow.f64 (/.f64 t (log1p.f64 (*.f64 (expm1.f64 z) y))) -1)
(neg.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))
(sqrt.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) 2))
(log.f64 (exp.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))))
(cbrt.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) 3))
(expm1.f64 (log1p.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)))
(exp.f64 (log.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)))
(exp.f64 (*.f64 (log.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) 1))
(log1p.f64 (expm1.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)))
(-.f64 (+.f64 (*.f64 (expm1.f64 z) y) 1) 1)
(pow.f64 (*.f64 (expm1.f64 z) y) 1)
(pow.f64 (sqrt.f64 (*.f64 (expm1.f64 z) y)) 2)
(pow.f64 (cbrt.f64 (*.f64 (expm1.f64 z) y)) 3)
(pow.f64 (pow.f64 (*.f64 (expm1.f64 z) y) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 (expm1.f64 z) y) 2))
(log.f64 (pow.f64 (exp.f64 y) (expm1.f64 z)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (expm1.f64 z) y))))
(cbrt.f64 (pow.f64 (*.f64 (expm1.f64 z) y) 3))
(expm1.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)))
(exp.f64 (log.f64 (*.f64 (expm1.f64 z) y)))
(exp.f64 (*.f64 (log.f64 (*.f64 (expm1.f64 z) y)) 1))
(log1p.f64 (expm1.f64 (*.f64 (expm1.f64 z) y)))
Outputs
(*.f64 -1 (/.f64 (*.f64 y z) t))
(neg.f64 (/.f64 y (/.f64 t z)))
(/.f64 (neg.f64 (*.f64 y z)) t)
(*.f64 (/.f64 (neg.f64 y) t) z)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 z 2) (+.f64 (*.f64 -1 (pow.f64 y 2)) y)) t)))
(fma.f64 -1 (/.f64 y (/.f64 t z)) (*.f64 -1/2 (/.f64 (*.f64 z z) (/.f64 t (fma.f64 -1 (*.f64 y y) y)))))
(-.f64 (*.f64 -1/2 (*.f64 (/.f64 (*.f64 z z) t) (-.f64 y (*.f64 y y)))) (*.f64 (/.f64 y t) z))
(fma.f64 -1/2 (*.f64 (-.f64 y (*.f64 y y)) (/.f64 z (/.f64 t z))) (*.f64 (/.f64 (neg.f64 y) t) z))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) (+.f64 (*.f64 -1/6 (/.f64 (*.f64 (pow.f64 z 3) (+.f64 (*.f64 -3 (pow.f64 y 2)) (+.f64 y (*.f64 2 (pow.f64 y 3))))) t)) (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 z 2) (+.f64 (*.f64 -1 (pow.f64 y 2)) y)) t))))
(fma.f64 -1 (/.f64 y (/.f64 t z)) (fma.f64 -1/6 (/.f64 (pow.f64 z 3) (/.f64 t (fma.f64 -3 (*.f64 y y) (+.f64 y (*.f64 2 (pow.f64 y 3)))))) (*.f64 -1/2 (/.f64 (*.f64 z z) (/.f64 t (fma.f64 -1 (*.f64 y y) y))))))
(-.f64 (fma.f64 -1/2 (*.f64 (/.f64 (*.f64 z z) t) (-.f64 y (*.f64 y y))) (*.f64 -1/6 (*.f64 (/.f64 (pow.f64 z 3) t) (fma.f64 (*.f64 y y) -3 (fma.f64 2 (pow.f64 y 3) y))))) (*.f64 (/.f64 y t) z))
(-.f64 (fma.f64 -1/6 (*.f64 (fma.f64 (*.f64 y y) -3 (fma.f64 2 (pow.f64 y 3) y)) (/.f64 (pow.f64 z 3) t)) (*.f64 -1/2 (*.f64 (-.f64 y (*.f64 y y)) (/.f64 z (/.f64 t z))))) (*.f64 (/.f64 z t) y))
(+.f64 (*.f64 -1/24 (/.f64 (*.f64 (pow.f64 z 4) (+.f64 (*.f64 -3 (pow.f64 y 2)) (+.f64 y (+.f64 (*.f64 12 (pow.f64 y 3)) (+.f64 (*.f64 -4 (pow.f64 y 2)) (*.f64 -6 (pow.f64 y 4))))))) t)) (+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) (+.f64 (*.f64 -1/6 (/.f64 (*.f64 (pow.f64 z 3) (+.f64 (*.f64 -3 (pow.f64 y 2)) (+.f64 y (*.f64 2 (pow.f64 y 3))))) t)) (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 z 2) (+.f64 (*.f64 -1 (pow.f64 y 2)) y)) t)))))
(fma.f64 -1/24 (/.f64 (*.f64 (pow.f64 z 4) (fma.f64 -3 (*.f64 y y) (+.f64 y (fma.f64 12 (pow.f64 y 3) (fma.f64 -4 (*.f64 y y) (*.f64 -6 (pow.f64 y 4))))))) t) (fma.f64 -1 (/.f64 y (/.f64 t z)) (fma.f64 -1/6 (/.f64 (pow.f64 z 3) (/.f64 t (fma.f64 -3 (*.f64 y y) (+.f64 y (*.f64 2 (pow.f64 y 3)))))) (*.f64 -1/2 (/.f64 (*.f64 z z) (/.f64 t (fma.f64 -1 (*.f64 y y) y)))))))
(fma.f64 -1/24 (*.f64 (/.f64 (pow.f64 z 4) t) (+.f64 (fma.f64 (pow.f64 y 3) 12 (fma.f64 (*.f64 y y) -4 (*.f64 -6 (pow.f64 y 4)))) (fma.f64 (*.f64 y y) -3 y))) (-.f64 (fma.f64 -1/2 (*.f64 (/.f64 (*.f64 z z) t) (-.f64 y (*.f64 y y))) (*.f64 -1/6 (*.f64 (/.f64 (pow.f64 z 3) t) (fma.f64 (*.f64 y y) -3 (fma.f64 2 (pow.f64 y 3) y))))) (*.f64 (/.f64 y t) z)))
(fma.f64 -1/24 (*.f64 (+.f64 (fma.f64 (pow.f64 y 3) 12 (fma.f64 (*.f64 y y) -4 (*.f64 -6 (pow.f64 y 4)))) (fma.f64 (*.f64 y y) -3 y)) (/.f64 (pow.f64 z 4) t)) (-.f64 (fma.f64 -1/6 (*.f64 (fma.f64 (*.f64 y y) -3 (fma.f64 2 (pow.f64 y 3) y)) (/.f64 (pow.f64 z 3) t)) (*.f64 -1/2 (*.f64 (-.f64 y (*.f64 y y)) (/.f64 z (/.f64 t z))))) (*.f64 (/.f64 z t) y)))
(*.f64 -1 (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t))
(/.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) t)
(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t))
(*.f64 -1 (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t))
(/.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) t)
(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t))
(*.f64 -1 (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t))
(/.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) t)
(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t))
(*.f64 -1 (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t))
(/.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) t)
(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t))
(*.f64 -1 (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t))
(/.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) t)
(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t))
(*.f64 -1 (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t))
(/.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) t)
(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t))
(*.f64 -1 (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t))
(/.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) t)
(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t))
(*.f64 -1 (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t))
(/.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) t)
(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(neg.f64 (/.f64 (expm1.f64 z) (/.f64 t y)))
(/.f64 (neg.f64 (expm1.f64 z)) (/.f64 t y))
(*.f64 (/.f64 (expm1.f64 z) t) (neg.f64 y))
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (pow.f64 y 2)) t)) (*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)))
(fma.f64 1/2 (/.f64 (pow.f64 (expm1.f64 z) 2) (/.f64 t (*.f64 y y))) (neg.f64 (/.f64 (expm1.f64 z) (/.f64 t y))))
(-.f64 (*.f64 1/2 (/.f64 (pow.f64 (*.f64 y (expm1.f64 z)) 2) t)) (*.f64 (/.f64 (expm1.f64 z) t) y))
(-.f64 (*.f64 (/.f64 1/2 t) (pow.f64 (*.f64 y (expm1.f64 z)) 2)) (*.f64 y (/.f64 (expm1.f64 z) t)))
(+.f64 (*.f64 -1/3 (/.f64 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 3) (pow.f64 y 3)) t)) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (pow.f64 y 2)) t)) (*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))))
(fma.f64 -1/3 (/.f64 (pow.f64 (*.f64 y (expm1.f64 z)) 3) t) (fma.f64 1/2 (/.f64 (pow.f64 (expm1.f64 z) 2) (/.f64 t (*.f64 y y))) (neg.f64 (/.f64 (expm1.f64 z) (/.f64 t y)))))
(-.f64 (fma.f64 -1/3 (/.f64 (pow.f64 (*.f64 y (expm1.f64 z)) 3) t) (*.f64 1/2 (/.f64 (pow.f64 (*.f64 y (expm1.f64 z)) 2) t))) (*.f64 (/.f64 (expm1.f64 z) t) y))
(-.f64 (fma.f64 -1/3 (/.f64 (pow.f64 (*.f64 y (expm1.f64 z)) 3) t) (*.f64 (/.f64 1/2 t) (pow.f64 (*.f64 y (expm1.f64 z)) 2))) (*.f64 y (/.f64 (expm1.f64 z) t)))
(+.f64 (*.f64 -1/3 (/.f64 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 3) (pow.f64 y 3)) t)) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (pow.f64 y 2)) t)) (+.f64 (*.f64 1/4 (/.f64 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 4) (pow.f64 y 4)) t)) (*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)))))
(fma.f64 -1/3 (/.f64 (pow.f64 (*.f64 y (expm1.f64 z)) 3) t) (fma.f64 1/2 (/.f64 (pow.f64 (expm1.f64 z) 2) (/.f64 t (*.f64 y y))) (fma.f64 1/4 (/.f64 (pow.f64 (expm1.f64 z) 4) (/.f64 t (pow.f64 y 4))) (neg.f64 (/.f64 (expm1.f64 z) (/.f64 t y))))))
(fma.f64 -1/3 (/.f64 (pow.f64 (*.f64 y (expm1.f64 z)) 3) t) (-.f64 (fma.f64 1/2 (/.f64 (pow.f64 (*.f64 y (expm1.f64 z)) 2) t) (*.f64 1/4 (/.f64 (pow.f64 y 4) (/.f64 t (pow.f64 (expm1.f64 z) 4))))) (*.f64 (/.f64 (expm1.f64 z) t) y)))
(fma.f64 -1/3 (/.f64 (pow.f64 (*.f64 y (expm1.f64 z)) 3) t) (-.f64 (fma.f64 1/2 (/.f64 (pow.f64 (*.f64 y (expm1.f64 z)) 2) t) (*.f64 1/4 (*.f64 (/.f64 (pow.f64 y 4) t) (pow.f64 (expm1.f64 z) 4)))) (*.f64 y (/.f64 (expm1.f64 z) t))))
(*.f64 -1 (/.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) t))
(neg.f64 (/.f64 (+.f64 (log.f64 (expm1.f64 z)) (neg.f64 (neg.f64 (log.f64 y)))) t))
(/.f64 (neg.f64 (log.f64 (*.f64 y (expm1.f64 z)))) t)
(-.f64 (*.f64 -1 (/.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) t)) (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) (*.f64 y t))))
(-.f64 (neg.f64 (/.f64 (+.f64 (log.f64 (expm1.f64 z)) (neg.f64 (neg.f64 (log.f64 y)))) t)) (/.f64 1 (*.f64 (expm1.f64 z) (*.f64 y t))))
(fma.f64 -1 (/.f64 (log.f64 (*.f64 y (expm1.f64 z))) t) (/.f64 -1 (*.f64 y (*.f64 (expm1.f64 z) t))))
(fma.f64 -1 (/.f64 (log.f64 (*.f64 y (expm1.f64 z))) t) (/.f64 (/.f64 -1 y) (*.f64 t (expm1.f64 z))))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (*.f64 (pow.f64 y 2) t)))) (*.f64 -1 (/.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) t))) (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) (*.f64 y t))))
(+.f64 (/.f64 1/2 (*.f64 (pow.f64 (expm1.f64 z) 2) (*.f64 t (*.f64 y y)))) (-.f64 (neg.f64 (/.f64 (+.f64 (log.f64 (expm1.f64 z)) (neg.f64 (neg.f64 (log.f64 y)))) t)) (/.f64 1 (*.f64 (expm1.f64 z) (*.f64 y t)))))
(+.f64 (-.f64 (/.f64 1/2 (*.f64 t (pow.f64 (*.f64 y (expm1.f64 z)) 2))) (/.f64 (log.f64 (*.f64 y (expm1.f64 z))) t)) (/.f64 -1 (*.f64 y (*.f64 (expm1.f64 z) t))))
(-.f64 (/.f64 (/.f64 1/2 t) (pow.f64 (*.f64 y (expm1.f64 z)) 2)) (-.f64 (/.f64 (log.f64 (*.f64 y (expm1.f64 z))) t) (/.f64 (/.f64 -1 y) (*.f64 t (expm1.f64 z)))))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (*.f64 (pow.f64 y 2) t)))) (*.f64 -1 (/.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) t))) (+.f64 (*.f64 1/3 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 3) (*.f64 (pow.f64 y 3) t)))) (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) (*.f64 y t)))))
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(neg.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))
(/.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) t)
(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t))
(sqrt.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) 2))
(sqrt.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 2))
(fabs.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))
(log.f64 (exp.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)))
(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))))
(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)
(cbrt.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) 3))
(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)
(expm1.f64 (log1p.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)))
(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)
(exp.f64 (log.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)))
(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)
(exp.f64 (*.f64 (log.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) 1))
(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)
(log1p.f64 (expm1.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)))
(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)
(-.f64 (+.f64 (*.f64 (expm1.f64 z) y) 1) 1)
(*.f64 y (expm1.f64 z))
(pow.f64 (*.f64 (expm1.f64 z) y) 1)
(*.f64 y (expm1.f64 z))
(pow.f64 (sqrt.f64 (*.f64 (expm1.f64 z) y)) 2)
(*.f64 y (expm1.f64 z))
(pow.f64 (cbrt.f64 (*.f64 (expm1.f64 z) y)) 3)
(*.f64 y (expm1.f64 z))
(pow.f64 (pow.f64 (*.f64 (expm1.f64 z) y) 3) 1/3)
(*.f64 y (expm1.f64 z))
(sqrt.f64 (pow.f64 (*.f64 (expm1.f64 z) y) 2))
(sqrt.f64 (pow.f64 (*.f64 y (expm1.f64 z)) 2))
(fabs.f64 (*.f64 y (expm1.f64 z)))
(log.f64 (pow.f64 (exp.f64 y) (expm1.f64 z)))
(*.f64 y (expm1.f64 z))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (expm1.f64 z) y))))
(*.f64 y (expm1.f64 z))
(cbrt.f64 (pow.f64 (*.f64 (expm1.f64 z) y) 3))
(*.f64 y (expm1.f64 z))
(expm1.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)))
(*.f64 y (expm1.f64 z))
(exp.f64 (log.f64 (*.f64 (expm1.f64 z) y)))
(*.f64 y (expm1.f64 z))
(exp.f64 (*.f64 (log.f64 (*.f64 (expm1.f64 z) y)) 1))
(*.f64 y (expm1.f64 z))
(log1p.f64 (expm1.f64 (*.f64 (expm1.f64 z) y)))
(*.f64 y (expm1.f64 z))

localize14.0ms (0.1%)

Local Accuracy

Found 4 expressions with local accuracy:

NewAccuracyProgram
100.0%
(-.f64 x (/.f64 (log.f64 y) t))
99.9%
(-.f64 (-.f64 x (/.f64 (log.f64 y) t)) (/.f64 (log.f64 (expm1.f64 z)) t))
99.9%
(/.f64 (log.f64 (expm1.f64 z)) t)
99.8%
(/.f64 (log.f64 y) t)
Compiler

Compiled 42 to 11 computations (73.8% saved)

series206.0ms (1.1%)

Counts
4 → 112
Calls

33 calls:

TimeVariablePointExpression
76.0ms
z
@-inf
(/.f64 (log.f64 (expm1.f64 z)) t)
41.0ms
y
@0
(/.f64 (log.f64 y) t)
17.0ms
y
@0
(-.f64 (-.f64 x (/.f64 (log.f64 y) t)) (/.f64 (log.f64 (expm1.f64 z)) t))
12.0ms
t
@0
(/.f64 (log.f64 y) t)
12.0ms
z
@inf
(/.f64 (log.f64 (expm1.f64 z)) t)

rewrite151.0ms (0.8%)

Algorithm
batch-egg-rewrite
Rules
1814×associate-/r*
1340×associate-/l*
344×associate-+l+
320×add-sqr-sqrt
318×pow1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01480
129880
2432780
Stop Event
node limit
Counts
4 → 290
Calls
Call 1
Inputs
(/.f64 (log.f64 y) t)
(/.f64 (log.f64 (expm1.f64 z)) t)
(-.f64 (-.f64 x (/.f64 (log.f64 y) t)) (/.f64 (log.f64 (expm1.f64 z)) t))
(-.f64 x (/.f64 (log.f64 y) t))
Outputs
(((-.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 y) t))) 1) (2)) ((*.f64 (log.f64 y) (/.f64 1 t)) (2)) ((*.f64 (/.f64 (log.f64 y) t) 1) (2)) ((*.f64 1 (/.f64 (log.f64 y) t)) (2)) ((*.f64 (sqrt.f64 (log.f64 y)) (*.f64 (sqrt.f64 (log.f64 y)) (/.f64 1 t))) (2)) ((*.f64 (sqrt.f64 (/.f64 (log.f64 y) t)) (sqrt.f64 (/.f64 (log.f64 y) t))) (2)) ((*.f64 (pow.f64 (cbrt.f64 (log.f64 y)) 2) (*.f64 (cbrt.f64 (log.f64 y)) (/.f64 1 t))) (2)) ((*.f64 (cbrt.f64 (/.f64 (log.f64 y) t)) (pow.f64 (cbrt.f64 (/.f64 (log.f64 y) t)) 2)) (2)) ((*.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 y) t)) 2) (cbrt.f64 (/.f64 (log.f64 y) t))) (2)) ((*.f64 (/.f64 1 t) (log.f64 y)) (2)) ((*.f64 (neg.f64 (log.f64 y)) (/.f64 -1 t)) (2)) ((*.f64 (/.f64 1 (sqrt.f64 t)) (/.f64 (log.f64 y) (sqrt.f64 t))) (2)) ((*.f64 (/.f64 1 (pow.f64 (cbrt.f64 t) 2)) (/.f64 (log.f64 y) (cbrt.f64 t))) (2)) ((*.f64 (/.f64 (sqrt.f64 (log.f64 y)) 1) (/.f64 (sqrt.f64 (log.f64 y)) t)) (2)) ((*.f64 (/.f64 (sqrt.f64 (log.f64 y)) (pow.f64 (cbrt.f64 t) 2)) (/.f64 (sqrt.f64 (log.f64 y)) (cbrt.f64 t))) (2)) ((*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 y)) 2) 1) (/.f64 (cbrt.f64 (log.f64 y)) t)) (2)) ((*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 y)) 2) (sqrt.f64 t)) (/.f64 (cbrt.f64 (log.f64 y)) (sqrt.f64 t))) (2)) ((*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 y)) 2) (pow.f64 (cbrt.f64 t) 2)) (cbrt.f64 (/.f64 (log.f64 y) t))) (2)) ((pow.f64 (/.f64 (log.f64 y) t) 1) (2)) ((pow.f64 (sqrt.f64 (/.f64 (log.f64 y) t)) 2) (2)) ((pow.f64 (cbrt.f64 (/.f64 (log.f64 y) t)) 3) (2)) ((pow.f64 (/.f64 t (log.f64 y)) -1) (2)) ((pow.f64 (pow.f64 (/.f64 (log.f64 y) t) 3) 1/3) (2)) ((neg.f64 (/.f64 (log.f64 y) (neg.f64 t))) (2)) ((sqrt.f64 (pow.f64 (/.f64 (log.f64 y) t) 2)) (2)) ((log.f64 (pow.f64 y (/.f64 1 t))) (2)) ((log.f64 (+.f64 1 (expm1.f64 (/.f64 (log.f64 y) t)))) (2)) ((cbrt.f64 (pow.f64 (/.f64 (log.f64 y) t) 3)) (2)) ((expm1.f64 (log1p.f64 (/.f64 (log.f64 y) t))) (2)) ((exp.f64 (log.f64 (/.f64 (log.f64 y) t))) (2)) ((exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 y) t)) 1)) (2)) ((log1p.f64 (expm1.f64 (/.f64 (log.f64 y) t))) (2)))
(((-.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 (expm1.f64 z)) t))) 1) (2)) ((*.f64 (log.f64 (expm1.f64 z)) (/.f64 1 t)) (2)) ((*.f64 (/.f64 (log.f64 (expm1.f64 z)) t) 1) (2)) ((*.f64 1 (/.f64 (log.f64 (expm1.f64 z)) t)) (2)) ((*.f64 (sqrt.f64 (/.f64 (log.f64 (expm1.f64 z)) t)) (sqrt.f64 (/.f64 (log.f64 (expm1.f64 z)) t))) (2)) ((*.f64 (sqrt.f64 (log.f64 (expm1.f64 z))) (*.f64 (sqrt.f64 (log.f64 (expm1.f64 z))) (/.f64 1 t))) (2)) ((*.f64 (cbrt.f64 (/.f64 (log.f64 (expm1.f64 z)) t)) (pow.f64 (cbrt.f64 (/.f64 (log.f64 (expm1.f64 z)) t)) 2)) (2)) ((*.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 (expm1.f64 z)) t)) 2) (cbrt.f64 (/.f64 (log.f64 (expm1.f64 z)) t))) (2)) ((*.f64 (pow.f64 (cbrt.f64 (log.f64 (expm1.f64 z))) 2) (*.f64 (cbrt.f64 (log.f64 (expm1.f64 z))) (/.f64 1 t))) (2)) ((*.f64 (/.f64 1 t) (log.f64 (expm1.f64 z))) (2)) ((*.f64 (neg.f64 (log.f64 (expm1.f64 z))) (/.f64 -1 t)) (2)) ((*.f64 (/.f64 1 (sqrt.f64 t)) (/.f64 (log.f64 (expm1.f64 z)) (sqrt.f64 t))) (2)) ((*.f64 (/.f64 1 (pow.f64 (cbrt.f64 t) 2)) (/.f64 (log.f64 (expm1.f64 z)) (cbrt.f64 t))) (2)) ((*.f64 (/.f64 (sqrt.f64 (log.f64 (expm1.f64 z))) 1) (/.f64 (sqrt.f64 (log.f64 (expm1.f64 z))) t)) (2)) ((*.f64 (/.f64 (sqrt.f64 (log.f64 (expm1.f64 z))) (pow.f64 (cbrt.f64 t) 2)) (/.f64 (sqrt.f64 (log.f64 (expm1.f64 z))) (cbrt.f64 t))) (2)) ((*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (expm1.f64 z))) 2) 1) (/.f64 (cbrt.f64 (log.f64 (expm1.f64 z))) t)) (2)) ((*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (expm1.f64 z))) 2) (sqrt.f64 t)) (/.f64 (cbrt.f64 (log.f64 (expm1.f64 z))) (sqrt.f64 t))) (2)) ((*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (expm1.f64 z))) 2) (pow.f64 (cbrt.f64 t) 2)) (cbrt.f64 (/.f64 (log.f64 (expm1.f64 z)) t))) (2)) ((pow.f64 (/.f64 (log.f64 (expm1.f64 z)) t) 1) (2)) ((pow.f64 (sqrt.f64 (/.f64 (log.f64 (expm1.f64 z)) t)) 2) (2)) ((pow.f64 (cbrt.f64 (/.f64 (log.f64 (expm1.f64 z)) t)) 3) (2)) ((pow.f64 (/.f64 t (log.f64 (expm1.f64 z))) -1) (2)) ((pow.f64 (pow.f64 (/.f64 (log.f64 (expm1.f64 z)) t) 3) 1/3) (2)) ((neg.f64 (/.f64 (log.f64 (expm1.f64 z)) (neg.f64 t))) (2)) ((sqrt.f64 (pow.f64 (/.f64 (log.f64 (expm1.f64 z)) t) 2)) (2)) ((log.f64 (pow.f64 (expm1.f64 z) (/.f64 1 t))) (2)) ((log.f64 (+.f64 1 (expm1.f64 (/.f64 (log.f64 (expm1.f64 z)) t)))) (2)) ((cbrt.f64 (pow.f64 (/.f64 (log.f64 (expm1.f64 z)) t) 3)) (2)) ((expm1.f64 (log1p.f64 (/.f64 (log.f64 (expm1.f64 z)) t))) (2)) ((exp.f64 (log.f64 (/.f64 (log.f64 (expm1.f64 z)) t))) (2)) ((exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 (expm1.f64 z)) t)) 1)) (2)) ((log1p.f64 (expm1.f64 (/.f64 (log.f64 (expm1.f64 z)) t))) (2)))
(((+.f64 x (+.f64 (/.f64 (neg.f64 (log.f64 y)) t) (/.f64 (neg.f64 (log.f64 (expm1.f64 z))) t))) (2)) ((+.f64 x (-.f64 (/.f64 (neg.f64 (log.f64 y)) t) (/.f64 (log.f64 (expm1.f64 z)) t))) (2)) ((+.f64 x (neg.f64 (+.f64 (/.f64 (log.f64 y) t) (/.f64 (log.f64 (expm1.f64 z)) t)))) (2)) ((+.f64 x (+.f64 (*.f64 (/.f64 (neg.f64 (log.f64 y)) t) 1) (/.f64 (neg.f64 (log.f64 (expm1.f64 z))) t))) (2)) ((+.f64 x (+.f64 (/.f64 (neg.f64 (log.f64 y)) t) (*.f64 (/.f64 (neg.f64 (log.f64 (expm1.f64 z))) t) 1))) (2)) ((+.f64 x (+.f64 (*.f64 (/.f64 (neg.f64 (log.f64 y)) t) 1) (*.f64 (/.f64 (neg.f64 (log.f64 (expm1.f64 z))) t) 1))) (2)) ((+.f64 x (+.f64 (+.f64 (/.f64 (neg.f64 (log.f64 y)) t) (/.f64 (neg.f64 (log.f64 (expm1.f64 z))) t)) (fma.f64 (neg.f64 (/.f64 1 t)) (log.f64 (expm1.f64 z)) (/.f64 (log.f64 (expm1.f64 z)) t)))) (2)) ((+.f64 x (+.f64 (-.f64 (/.f64 (neg.f64 (log.f64 y)) t) (/.f64 (log.f64 (expm1.f64 z)) t)) (fma.f64 (neg.f64 (/.f64 1 t)) (log.f64 (expm1.f64 z)) (/.f64 (log.f64 (expm1.f64 z)) t)))) (2)) ((+.f64 x (+.f64 (neg.f64 (+.f64 (/.f64 (log.f64 y) t) (/.f64 (log.f64 (expm1.f64 z)) t))) (fma.f64 (neg.f64 (/.f64 1 t)) (log.f64 (expm1.f64 z)) (/.f64 (log.f64 (expm1.f64 z)) t)))) (2)) ((+.f64 x (+.f64 (+.f64 (/.f64 (neg.f64 (log.f64 y)) t) (/.f64 (neg.f64 (log.f64 (expm1.f64 z))) t)) (fma.f64 (/.f64 (neg.f64 (log.f64 (expm1.f64 z))) t) 1 (/.f64 (log.f64 (expm1.f64 z)) t)))) (2)) ((+.f64 x (+.f64 (-.f64 (/.f64 (neg.f64 (log.f64 y)) t) (/.f64 (log.f64 (expm1.f64 z)) t)) (fma.f64 (/.f64 (neg.f64 (log.f64 (expm1.f64 z))) t) 1 (/.f64 (log.f64 (expm1.f64 z)) t)))) (2)) ((+.f64 x (+.f64 (neg.f64 (+.f64 (/.f64 (log.f64 y) t) (/.f64 (log.f64 (expm1.f64 z)) t))) (fma.f64 (/.f64 (neg.f64 (log.f64 (expm1.f64 z))) t) 1 (/.f64 (log.f64 (expm1.f64 z)) t)))) (2)) ((+.f64 x (+.f64 (+.f64 (/.f64 (neg.f64 (log.f64 y)) t) (/.f64 (neg.f64 (log.f64 (expm1.f64 z))) t)) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 (log.f64 (expm1.f64 z)) t))) (sqrt.f64 (/.f64 (log.f64 (expm1.f64 z)) t)) (/.f64 (log.f64 (expm1.f64 z)) t)))) (2)) ((+.f64 x (+.f64 (-.f64 (/.f64 (neg.f64 (log.f64 y)) t) (/.f64 (log.f64 (expm1.f64 z)) t)) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 (log.f64 (expm1.f64 z)) t))) (sqrt.f64 (/.f64 (log.f64 (expm1.f64 z)) t)) (/.f64 (log.f64 (expm1.f64 z)) t)))) (2)) ((+.f64 x (+.f64 (neg.f64 (+.f64 (/.f64 (log.f64 y) t) (/.f64 (log.f64 (expm1.f64 z)) t))) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 (log.f64 (expm1.f64 z)) t))) (sqrt.f64 (/.f64 (log.f64 (expm1.f64 z)) t)) (/.f64 (log.f64 (expm1.f64 z)) t)))) (2)) ((+.f64 x (+.f64 (+.f64 (/.f64 (neg.f64 (log.f64 y)) t) (/.f64 (neg.f64 (log.f64 (expm1.f64 z))) t)) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (log.f64 (expm1.f64 z)) t))) (pow.f64 (cbrt.f64 (/.f64 (log.f64 (expm1.f64 z)) t)) 2) (/.f64 (log.f64 (expm1.f64 z)) t)))) (2)) ((+.f64 x (+.f64 (-.f64 (/.f64 (neg.f64 (log.f64 y)) t) (/.f64 (log.f64 (expm1.f64 z)) t)) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (log.f64 (expm1.f64 z)) t))) (pow.f64 (cbrt.f64 (/.f64 (log.f64 (expm1.f64 z)) t)) 2) (/.f64 (log.f64 (expm1.f64 z)) t)))) (2)) ((+.f64 x (+.f64 (neg.f64 (+.f64 (/.f64 (log.f64 y) t) (/.f64 (log.f64 (expm1.f64 z)) t))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (log.f64 (expm1.f64 z)) t))) (pow.f64 (cbrt.f64 (/.f64 (log.f64 (expm1.f64 z)) t)) 2) (/.f64 (log.f64 (expm1.f64 z)) t)))) (2)) ((+.f64 x (-.f64 (*.f64 (/.f64 (neg.f64 (log.f64 y)) t) 1) (/.f64 (log.f64 (expm1.f64 z)) t))) (2)) ((+.f64 (-.f64 x (/.f64 (log.f64 y) t)) (/.f64 (neg.f64 (log.f64 (expm1.f64 z))) t)) (2)) ((+.f64 (-.f64 x (/.f64 (log.f64 y) t)) (*.f64 (/.f64 (neg.f64 (log.f64 (expm1.f64 z))) t) 1)) (2)) ((+.f64 (-.f64 x (/.f64 (log.f64 y) t)) (+.f64 (fma.f64 (neg.f64 (/.f64 1 t)) (log.f64 y) (/.f64 (log.f64 y) t)) (/.f64 (neg.f64 (log.f64 (expm1.f64 z))) t))) (2)) ((+.f64 (-.f64 x (/.f64 (log.f64 y) t)) (+.f64 (fma.f64 (/.f64 (neg.f64 (log.f64 y)) t) 1 (/.f64 (log.f64 y) t)) (/.f64 (neg.f64 (log.f64 (expm1.f64 z))) t))) (2)) ((+.f64 (-.f64 x (/.f64 (log.f64 y) t)) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (/.f64 (log.f64 y) 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(log.f64 y)) t)) (2)) ((fma.f64 (sqrt.f64 x) (sqrt.f64 x) (/.f64 (neg.f64 (log.f64 y)) t)) (2)) ((fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (/.f64 (neg.f64 (log.f64 y)) t)) (2)))

simplify198.0ms (1.1%)

Algorithm
egg-herbie
Rules
1096×associate-+l+
1004×associate-+r+
748×associate-*r*
672×+-commutative
644×associate-*l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
072220804
1197719134
Stop Event
node limit
Counts
402 → 429
Calls
Call 1
Inputs
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(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (/.f64 (neg.f64 (log.f64 y)) t) 3)) (-.f64 (+.f64 (*.f64 x x) (*.f64 (/.f64 (neg.f64 (log.f64 y)) t) (/.f64 (neg.f64 (log.f64 y)) t))) (*.f64 x (/.f64 (neg.f64 (log.f64 y)) t))))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (log.f64 y) t) 2))) (neg.f64 (+.f64 (/.f64 (log.f64 y) t) x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 (log.f64 y) t) 3))) (neg.f64 (fma.f64 x x (*.f64 (/.f64 (log.f64 y) t) (+.f64 (/.f64 (log.f64 y) t) x)))))
(/.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (log.f64 y) t) 2)) 1) (+.f64 (/.f64 (log.f64 y) t) x))
(/.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (log.f64 y) t) 2)) (sqrt.f64 (+.f64 (/.f64 (log.f64 y) t) x))) (sqrt.f64 (+.f64 (/.f64 (log.f64 y) t) x)))
(/.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (log.f64 y) t) 2)) (*.f64 (cbrt.f64 (+.f64 (/.f64 (log.f64 y) t) x)) (cbrt.f64 (+.f64 (/.f64 (log.f64 y) t) x)))) (cbrt.f64 (+.f64 (/.f64 (log.f64 y) t) x)))
(/.f64 (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 (log.f64 y) t) 3)) 1) (fma.f64 x x (*.f64 (/.f64 (log.f64 y) t) (+.f64 (/.f64 (log.f64 y) t) x))))
(/.f64 (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 (log.f64 y) t) 3)) (sqrt.f64 (fma.f64 x x (*.f64 (/.f64 (log.f64 y) t) (+.f64 (/.f64 (log.f64 y) t) x))))) (sqrt.f64 (fma.f64 x x (*.f64 (/.f64 (log.f64 y) t) (+.f64 (/.f64 (log.f64 y) t) x)))))
(/.f64 (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 (log.f64 y) t) 3)) (*.f64 (cbrt.f64 (fma.f64 x x (*.f64 (/.f64 (log.f64 y) t) (+.f64 (/.f64 (log.f64 y) t) x)))) (cbrt.f64 (fma.f64 x x (*.f64 (/.f64 (log.f64 y) t) (+.f64 (/.f64 (log.f64 y) t) x)))))) (cbrt.f64 (fma.f64 x x (*.f64 (/.f64 (log.f64 y) t) (+.f64 (/.f64 (log.f64 y) t) x)))))
(pow.f64 (-.f64 x (/.f64 (log.f64 y) t)) 1)
(pow.f64 (sqrt.f64 (-.f64 x (/.f64 (log.f64 y) t))) 2)
(pow.f64 (cbrt.f64 (-.f64 x (/.f64 (log.f64 y) t))) 3)
(pow.f64 (pow.f64 (-.f64 x (/.f64 (log.f64 y) t)) 3) 1/3)
(sqrt.f64 (pow.f64 (-.f64 x (/.f64 (log.f64 y) t)) 2))
(log.f64 (exp.f64 (-.f64 x (/.f64 (log.f64 y) t))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 x (/.f64 (log.f64 y) t)))))
(cbrt.f64 (pow.f64 (-.f64 x (/.f64 (log.f64 y) t)) 3))
(expm1.f64 (log1p.f64 (-.f64 x (/.f64 (log.f64 y) t))))
(exp.f64 (log.f64 (-.f64 x (/.f64 (log.f64 y) t))))
(exp.f64 (*.f64 (log.f64 (-.f64 x (/.f64 (log.f64 y) t))) 1))
(log1p.f64 (expm1.f64 (-.f64 x (/.f64 (log.f64 y) t))))
(fma.f64 1 x (/.f64 (neg.f64 (log.f64 y)) t))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (/.f64 (neg.f64 (log.f64 y)) t))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (/.f64 (neg.f64 (log.f64 y)) t))
Outputs
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 y)) t))
(neg.f64 (/.f64 (neg.f64 (log.f64 y)) t))
(/.f64 (log.f64 y) t)
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 y)) t))
(neg.f64 (/.f64 (neg.f64 (log.f64 y)) t))
(/.f64 (log.f64 y) t)
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 y)) t))
(neg.f64 (/.f64 (neg.f64 (log.f64 y)) t))
(/.f64 (log.f64 y) t)
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 y)) t))
(neg.f64 (/.f64 (neg.f64 (log.f64 y)) t))
(/.f64 (log.f64 y) t)
(/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) t)
(/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 -1)) t)
(/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) t)
(/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 -1)) t)
(/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) t)
(/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 -1)) t)
(/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) t)
(/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 -1)) t)
(/.f64 (log.f64 z) t)
(+.f64 (/.f64 (log.f64 z) t) (*.f64 1/2 (/.f64 z t)))
(+.f64 (/.f64 (log.f64 z) t) (+.f64 (*.f64 1/24 (/.f64 (pow.f64 z 2) t)) (*.f64 1/2 (/.f64 z t))))
(+.f64 (/.f64 (log.f64 z) t) (fma.f64 1/24 (/.f64 (*.f64 z z) t) (*.f64 1/2 (/.f64 z t))))
(+.f64 (/.f64 (log.f64 z) t) (fma.f64 1/24 (/.f64 z (/.f64 t z)) (*.f64 1/2 (/.f64 z t))))
(+.f64 (/.f64 (log.f64 z) t) (+.f64 (*.f64 -1/2880 (/.f64 (pow.f64 z 4) t)) (+.f64 (*.f64 1/24 (/.f64 (pow.f64 z 2) t)) (*.f64 1/2 (/.f64 z t)))))
(+.f64 (/.f64 (log.f64 z) t) (fma.f64 -1/2880 (/.f64 (pow.f64 z 4) t) (fma.f64 1/24 (/.f64 (*.f64 z z) t) (*.f64 1/2 (/.f64 z t)))))
(+.f64 (/.f64 (log.f64 z) t) (fma.f64 -1/2880 (/.f64 (pow.f64 z 4) t) (fma.f64 1/24 (/.f64 z (/.f64 t z)) (*.f64 1/2 (/.f64 z t)))))
(/.f64 (log.f64 (-.f64 (exp.f64 z) 1)) t)
(/.f64 (log.f64 (expm1.f64 z)) t)
(/.f64 (log.f64 (-.f64 (exp.f64 z) 1)) t)
(/.f64 (log.f64 (expm1.f64 z)) t)
(/.f64 (log.f64 (-.f64 (exp.f64 z) 1)) t)
(/.f64 (log.f64 (expm1.f64 z)) t)
(/.f64 (log.f64 (-.f64 (exp.f64 z) 1)) t)
(/.f64 (log.f64 (expm1.f64 z)) t)
(/.f64 (log.f64 (-.f64 (exp.f64 z) 1)) t)
(/.f64 (log.f64 (expm1.f64 z)) t)
(/.f64 (log.f64 (-.f64 (exp.f64 z) 1)) t)
(/.f64 (log.f64 (expm1.f64 z)) t)
(/.f64 (log.f64 (-.f64 (exp.f64 z) 1)) t)
(/.f64 (log.f64 (expm1.f64 z)) t)
(/.f64 (log.f64 (-.f64 (exp.f64 z) 1)) t)
(/.f64 (log.f64 (expm1.f64 z)) t)
(/.f64 (log.f64 (-.f64 (exp.f64 z) 1)) t)
(/.f64 (log.f64 (expm1.f64 z)) t)
(/.f64 (log.f64 (-.f64 (exp.f64 z) 1)) t)
(/.f64 (log.f64 (expm1.f64 z)) t)
(/.f64 (log.f64 (-.f64 (exp.f64 z) 1)) t)
(/.f64 (log.f64 (expm1.f64 z)) t)
(/.f64 (log.f64 (-.f64 (exp.f64 z) 1)) t)
(/.f64 (log.f64 (expm1.f64 z)) t)
(/.f64 (log.f64 (-.f64 (exp.f64 z) 1)) t)
(/.f64 (log.f64 (expm1.f64 z)) t)
(/.f64 (log.f64 (-.f64 (exp.f64 z) 1)) t)
(/.f64 (log.f64 (expm1.f64 z)) t)
(/.f64 (log.f64 (-.f64 (exp.f64 z) 1)) t)
(/.f64 (log.f64 (expm1.f64 z)) t)
(/.f64 (log.f64 (-.f64 (exp.f64 z) 1)) t)
(/.f64 (log.f64 (expm1.f64 z)) t)
(/.f64 (log.f64 (-.f64 (exp.f64 z) 1)) t)
(/.f64 (log.f64 (expm1.f64 z)) t)
(/.f64 (log.f64 (-.f64 (exp.f64 z) 1)) t)
(/.f64 (log.f64 (expm1.f64 z)) t)
(/.f64 (log.f64 (-.f64 (exp.f64 z) 1)) t)
(/.f64 (log.f64 (expm1.f64 z)) t)
(/.f64 (log.f64 (-.f64 (exp.f64 z) 1)) t)
(/.f64 (log.f64 (expm1.f64 z)) t)
(*.f64 -1 (+.f64 (/.f64 (log.f64 (-.f64 (exp.f64 z) 1)) t) (/.f64 (log.f64 y) t)))
(-.f64 (/.f64 (neg.f64 (log.f64 y)) t) (/.f64 (log.f64 (expm1.f64 z)) t))
(+.f64 (*.f64 -1 (+.f64 (/.f64 (log.f64 (-.f64 (exp.f64 z) 1)) t) (/.f64 (log.f64 y) t))) x)
(-.f64 x (+.f64 (/.f64 (log.f64 y) t) (/.f64 (log.f64 (expm1.f64 z)) t)))
(+.f64 (*.f64 -1 (+.f64 (/.f64 (log.f64 (-.f64 (exp.f64 z) 1)) t) (/.f64 (log.f64 y) t))) x)
(-.f64 x (+.f64 (/.f64 (log.f64 y) t) (/.f64 (log.f64 (expm1.f64 z)) t)))
(+.f64 (*.f64 -1 (+.f64 (/.f64 (log.f64 (-.f64 (exp.f64 z) 1)) t) (/.f64 (log.f64 y) t))) x)
(-.f64 x (+.f64 (/.f64 (log.f64 y) t) (/.f64 (log.f64 (expm1.f64 z)) t)))
x
(+.f64 (*.f64 -1 (+.f64 (/.f64 (log.f64 (-.f64 (exp.f64 z) 1)) t) (/.f64 (log.f64 y) t))) x)
(-.f64 x (+.f64 (/.f64 (log.f64 y) t) (/.f64 (log.f64 (expm1.f64 z)) t)))
(+.f64 (*.f64 -1 (+.f64 (/.f64 (log.f64 (-.f64 (exp.f64 z) 1)) t) (/.f64 (log.f64 y) t))) x)
(-.f64 x (+.f64 (/.f64 (log.f64 y) t) (/.f64 (log.f64 (expm1.f64 z)) t)))
(+.f64 (*.f64 -1 (+.f64 (/.f64 (log.f64 (-.f64 (exp.f64 z) 1)) t) (/.f64 (log.f64 y) t))) x)
(-.f64 x (+.f64 (/.f64 (log.f64 y) t) (/.f64 (log.f64 (expm1.f64 z)) t)))
x
(+.f64 (*.f64 -1 (+.f64 (/.f64 (log.f64 (-.f64 (exp.f64 z) 1)) t) (/.f64 (log.f64 y) t))) x)
(-.f64 x (+.f64 (/.f64 (log.f64 y) t) (/.f64 (log.f64 (expm1.f64 z)) t)))
(+.f64 (*.f64 -1 (+.f64 (/.f64 (log.f64 (-.f64 (exp.f64 z) 1)) t) (/.f64 (log.f64 y) t))) x)
(-.f64 x (+.f64 (/.f64 (log.f64 y) t) (/.f64 (log.f64 (expm1.f64 z)) t)))
(+.f64 (*.f64 -1 (+.f64 (/.f64 (log.f64 (-.f64 (exp.f64 z) 1)) t) (/.f64 (log.f64 y) t))) x)
(-.f64 x (+.f64 (/.f64 (log.f64 y) t) (/.f64 (log.f64 (expm1.f64 z)) t)))
(-.f64 x (+.f64 (/.f64 (log.f64 (-.f64 (exp.f64 z) 1)) t) (/.f64 (log.f64 y) t)))
(-.f64 x (+.f64 (/.f64 (log.f64 y) t) (/.f64 (log.f64 (expm1.f64 z)) t)))
(-.f64 x (+.f64 (/.f64 (log.f64 (-.f64 (exp.f64 z) 1)) t) (/.f64 (log.f64 y) t)))
(-.f64 x (+.f64 (/.f64 (log.f64 y) t) (/.f64 (log.f64 (expm1.f64 z)) t)))
(-.f64 x (+.f64 (/.f64 (log.f64 (-.f64 (exp.f64 z) 1)) t) (/.f64 (log.f64 y) t)))
(-.f64 x (+.f64 (/.f64 (log.f64 y) t) (/.f64 (log.f64 (expm1.f64 z)) t)))
(-.f64 x (+.f64 (/.f64 (log.f64 (-.f64 (exp.f64 z) 1)) t) (/.f64 (log.f64 y) t)))
(-.f64 x (+.f64 (/.f64 (log.f64 y) t) (/.f64 (log.f64 (expm1.f64 z)) t)))
(-.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 y) t) (/.f64 (log.f64 (expm1.f64 z)) t)))
(-.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 y) t) (/.f64 (log.f64 (expm1.f64 z)) t)))
(-.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 y) t) (/.f64 (log.f64 (expm1.f64 z)) t)))
(-.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 y) t) (/.f64 (log.f64 (expm1.f64 z)) t)))
(-.f64 x (+.f64 (/.f64 (log.f64 (-.f64 (exp.f64 z) 1)) t) (+.f64 (/.f64 (log.f64 -1) t) (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 y)) t)))))
(-.f64 x (+.f64 (+.f64 (/.f64 (log.f64 -1) t) (/.f64 (neg.f64 (log.f64 (/.f64 -1 y))) t)) (/.f64 (log.f64 (expm1.f64 z)) t)))
(-.f64 (-.f64 (-.f64 x (/.f64 (log.f64 -1) t)) (/.f64 (neg.f64 (log.f64 (/.f64 -1 y))) t)) (/.f64 (log.f64 (expm1.f64 z)) t))
(-.f64 x (+.f64 (/.f64 (log.f64 (-.f64 (exp.f64 z) 1)) t) (+.f64 (/.f64 (log.f64 -1) t) (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 y)) t)))))
(-.f64 x (+.f64 (+.f64 (/.f64 (log.f64 -1) t) (/.f64 (neg.f64 (log.f64 (/.f64 -1 y))) t)) (/.f64 (log.f64 (expm1.f64 z)) t)))
(-.f64 (-.f64 (-.f64 x (/.f64 (log.f64 -1) t)) (/.f64 (neg.f64 (log.f64 (/.f64 -1 y))) t)) (/.f64 (log.f64 (expm1.f64 z)) t))
(-.f64 x (+.f64 (/.f64 (log.f64 (-.f64 (exp.f64 z) 1)) t) (+.f64 (/.f64 (log.f64 -1) t) (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 y)) t)))))
(-.f64 x (+.f64 (+.f64 (/.f64 (log.f64 -1) t) (/.f64 (neg.f64 (log.f64 (/.f64 -1 y))) t)) (/.f64 (log.f64 (expm1.f64 z)) t)))
(-.f64 (-.f64 (-.f64 x (/.f64 (log.f64 -1) t)) (/.f64 (neg.f64 (log.f64 (/.f64 -1 y))) t)) (/.f64 (log.f64 (expm1.f64 z)) t))
(-.f64 x (+.f64 (/.f64 (log.f64 (-.f64 (exp.f64 z) 1)) t) (+.f64 (/.f64 (log.f64 -1) t) (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 y)) t)))))
(-.f64 x (+.f64 (+.f64 (/.f64 (log.f64 -1) t) (/.f64 (neg.f64 (log.f64 (/.f64 -1 y))) t)) (/.f64 (log.f64 (expm1.f64 z)) t)))
(-.f64 (-.f64 (-.f64 x (/.f64 (log.f64 -1) t)) (/.f64 (neg.f64 (log.f64 (/.f64 -1 y))) t)) (/.f64 (log.f64 (expm1.f64 z)) t))
(*.f64 -1 (/.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (log.f64 y)) t))
(neg.f64 (/.f64 (+.f64 (log.f64 y) (log.f64 (expm1.f64 z))) t))
(/.f64 (neg.f64 (+.f64 (log.f64 y) (log.f64 (expm1.f64 z)))) t)
(+.f64 x (*.f64 -1 (/.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (log.f64 y)) t)))
(fma.f64 -1 (/.f64 (+.f64 (log.f64 y) (log.f64 (expm1.f64 z))) t) x)
(+.f64 x (*.f64 -1 (/.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (log.f64 y)) t)))
(fma.f64 -1 (/.f64 (+.f64 (log.f64 y) (log.f64 (expm1.f64 z))) t) x)
(+.f64 x (*.f64 -1 (/.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (log.f64 y)) t)))
(fma.f64 -1 (/.f64 (+.f64 (log.f64 y) (log.f64 (expm1.f64 z))) t) x)
x
(+.f64 (*.f64 -1 (/.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (log.f64 y)) t)) x)
(fma.f64 -1 (/.f64 (+.f64 (log.f64 y) (log.f64 (expm1.f64 z))) t) x)
(+.f64 (*.f64 -1 (/.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (log.f64 y)) t)) x)
(fma.f64 -1 (/.f64 (+.f64 (log.f64 y) (log.f64 (expm1.f64 z))) t) x)
(+.f64 (*.f64 -1 (/.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (log.f64 y)) t)) x)
(fma.f64 -1 (/.f64 (+.f64 (log.f64 y) (log.f64 (expm1.f64 z))) t) x)
x
(+.f64 (*.f64 -1 (/.f64 (log.f64 y) t)) (+.f64 (*.f64 -1 (/.f64 (log.f64 (-.f64 (exp.f64 z) 1)) t)) x))
(-.f64 x (+.f64 (/.f64 (log.f64 y) t) (/.f64 (log.f64 (expm1.f64 z)) t)))
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(-.f64 x (+.f64 (/.f64 (log.f64 y) t) (/.f64 (log.f64 z) t)))
(-.f64 x (+.f64 (/.f64 (log.f64 z) t) (/.f64 (log.f64 y) t)))
(-.f64 (+.f64 (*.f64 -1/2 (/.f64 z t)) x) (+.f64 (/.f64 (log.f64 y) t) (/.f64 (log.f64 z) t)))
(-.f64 (fma.f64 -1/2 (/.f64 z t) x) (+.f64 (/.f64 (log.f64 z) t) (/.f64 (log.f64 y) t)))
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(-.f64 (fma.f64 -1/24 (/.f64 (*.f64 z z) t) (fma.f64 -1/2 (/.f64 z t) x)) (+.f64 (/.f64 (log.f64 z) t) (/.f64 (log.f64 y) t)))
(-.f64 (fma.f64 -1/24 (/.f64 z (/.f64 t z)) (fma.f64 -1/2 (/.f64 z t) x)) (+.f64 (/.f64 (log.f64 z) t) (/.f64 (log.f64 y) t)))
(-.f64 (+.f64 (*.f64 -1/24 (/.f64 (pow.f64 z 2) t)) (+.f64 (*.f64 -1/2 (/.f64 z t)) (+.f64 (*.f64 1/2880 (/.f64 (pow.f64 z 4) t)) x))) (+.f64 (/.f64 (log.f64 y) t) (/.f64 (log.f64 z) t)))
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(+.f64 (fma.f64 (neg.f64 (sqrt.f64 (/.f64 (log.f64 y) t))) (sqrt.f64 (/.f64 (log.f64 y) t)) (/.f64 (log.f64 y) t)) (-.f64 x (/.f64 (log.f64 y) t)))
(+.f64 (-.f64 x (/.f64 (log.f64 y) t)) (fma.f64 (/.f64 -1 t) (log.f64 y) (/.f64 (log.f64 y) t)))
(+.f64 (-.f64 x (/.f64 (log.f64 y) t)) (*.f64 (/.f64 (log.f64 y) t) 0))
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (log.f64 y) t))) (pow.f64 (cbrt.f64 (/.f64 (log.f64 y) t)) 2) (/.f64 (log.f64 y) t)) (-.f64 x (/.f64 (log.f64 y) t)))
(+.f64 (-.f64 x (/.f64 (log.f64 y) t)) (fma.f64 (/.f64 -1 t) (log.f64 y) (/.f64 (log.f64 y) t)))
(+.f64 (-.f64 x (/.f64 (log.f64 y) t)) (*.f64 (/.f64 (log.f64 y) t) 0))
(+.f64 (-.f64 x (exp.f64 (log1p.f64 (/.f64 (log.f64 y) t)))) 1)
(-.f64 x (/.f64 (log.f64 y) t))
(*.f64 (-.f64 x (/.f64 (log.f64 y) t)) 1)
(-.f64 x (/.f64 (log.f64 y) t))
(*.f64 1 (-.f64 x (/.f64 (log.f64 y) t)))
(-.f64 x (/.f64 (log.f64 y) t))
(*.f64 (sqrt.f64 (-.f64 x (/.f64 (log.f64 y) t))) (sqrt.f64 (-.f64 x (/.f64 (log.f64 y) t))))
(-.f64 x (/.f64 (log.f64 y) t))
(*.f64 (cbrt.f64 (-.f64 x (/.f64 (log.f64 y) t))) (pow.f64 (cbrt.f64 (-.f64 x (/.f64 (log.f64 y) t))) 2))
(-.f64 x (/.f64 (log.f64 y) t))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 x (/.f64 (log.f64 y) t))) 2) (cbrt.f64 (-.f64 x (/.f64 (log.f64 y) t))))
(-.f64 x (/.f64 (log.f64 y) t))
(*.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (log.f64 y) t) 2)) (/.f64 1 (+.f64 (/.f64 (log.f64 y) t) x)))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (log.f64 y) t) 2)) (+.f64 (/.f64 (log.f64 y) t) x))
(*.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 (log.f64 y) t) 3)) (/.f64 1 (fma.f64 x x (*.f64 (/.f64 (log.f64 y) t) (+.f64 (/.f64 (log.f64 y) t) x)))))
(*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 (log.f64 y) t))) (-.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 (log.f64 y) t))))
(*.f64 (+.f64 (sqrt.f64 (/.f64 (log.f64 y) t)) (sqrt.f64 x)) (-.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 (log.f64 y) t))))
(/.f64 1 (/.f64 1 (-.f64 x (/.f64 (log.f64 y) t))))
(-.f64 x (/.f64 (log.f64 y) t))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (log.f64 y) t) 2)) (+.f64 (/.f64 (log.f64 y) t) x))
(*.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (log.f64 y) t) 2)) (/.f64 1 (+.f64 (/.f64 (log.f64 y) t) x)))
(/.f64 (+.f64 (/.f64 (log.f64 y) t) x) (/.f64 (+.f64 (/.f64 (log.f64 y) t) x) (-.f64 x (/.f64 (log.f64 y) t))))
(*.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (log.f64 y) t) 2)) (/.f64 1 (+.f64 (/.f64 (log.f64 y) t) x)))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (log.f64 y) t) 2)) (+.f64 (/.f64 (log.f64 y) t) x))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 (log.f64 y) t) 3)) (fma.f64 x x (*.f64 (/.f64 (log.f64 y) t) (+.f64 (/.f64 (log.f64 y) t) x))))
(/.f64 (fma.f64 x x (*.f64 (/.f64 (log.f64 y) t) (+.f64 (/.f64 (log.f64 y) t) x))) (/.f64 (fma.f64 x x (*.f64 (/.f64 (log.f64 y) t) (+.f64 (/.f64 (log.f64 y) t) x))) (-.f64 x (/.f64 (log.f64 y) t))))
(*.f64 (/.f64 (fma.f64 x x (*.f64 (/.f64 (log.f64 y) t) (+.f64 (/.f64 (log.f64 y) t) x))) (fma.f64 x x (*.f64 (/.f64 (log.f64 y) t) (+.f64 (/.f64 (log.f64 y) t) x)))) (-.f64 x (/.f64 (log.f64 y) t)))
(*.f64 (-.f64 x (/.f64 (log.f64 y) t)) (/.f64 (fma.f64 x x (*.f64 (/.f64 (log.f64 y) t) (+.f64 (/.f64 (log.f64 y) t) x))) (fma.f64 x x (*.f64 (/.f64 (log.f64 y) t) (+.f64 (/.f64 (log.f64 y) t) x)))))
(/.f64 (sqrt.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (log.f64 y) t) 2))) (/.f64 (+.f64 (/.f64 (log.f64 y) t) x) (sqrt.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (log.f64 y) t) 2)))))
(*.f64 (sqrt.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (log.f64 y) t) 2))) (/.f64 (sqrt.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (log.f64 y) t) 2))) (+.f64 (/.f64 (log.f64 y) t) x)))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 (log.f64 y) t) 3))) (/.f64 (fma.f64 x x (*.f64 (/.f64 (log.f64 y) t) (+.f64 (/.f64 (log.f64 y) t) x))) (sqrt.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 (log.f64 y) t) 3)))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 (log.f64 y) t) 3))) (fma.f64 x x (*.f64 (/.f64 (log.f64 y) t) (+.f64 (/.f64 (log.f64 y) t) x)))) (sqrt.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 (log.f64 y) t) 3))))
(*.f64 (sqrt.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 (log.f64 y) t) 3))) (/.f64 (sqrt.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 (log.f64 y) t) 3))) (fma.f64 x x (*.f64 (/.f64 (log.f64 y) t) (+.f64 (/.f64 (log.f64 y) t) x)))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (log.f64 y) t) 2))) (cbrt.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (log.f64 y) t) 2)))) (/.f64 (+.f64 (/.f64 (log.f64 y) t) x) (cbrt.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (log.f64 y) t) 2)))))
(*.f64 (/.f64 (*.f64 (cbrt.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (log.f64 y) t) 2))) (cbrt.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (log.f64 y) t) 2)))) (+.f64 (/.f64 (log.f64 y) t) x)) (cbrt.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (log.f64 y) t) 2))))
(*.f64 (cbrt.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (log.f64 y) t) 2))) (/.f64 (cbrt.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (log.f64 y) t) 2))) (/.f64 (+.f64 (/.f64 (log.f64 y) t) x) (cbrt.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (log.f64 y) t) 2))))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 (log.f64 y) t) 3))) (cbrt.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 (log.f64 y) t) 3)))) (/.f64 (fma.f64 x x (*.f64 (/.f64 (log.f64 y) t) (+.f64 (/.f64 (log.f64 y) t) x))) (cbrt.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 (log.f64 y) t) 3)))))
(*.f64 (/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 (log.f64 y) t) 3))) (cbrt.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 (log.f64 y) t) 3)))) (fma.f64 x x (*.f64 (/.f64 (log.f64 y) t) (+.f64 (/.f64 (log.f64 y) t) x)))) (cbrt.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 (log.f64 y) t) 3))))
(*.f64 (cbrt.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 (log.f64 y) t) 3))) (/.f64 (cbrt.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 (log.f64 y) t) 3))) (/.f64 (fma.f64 x x (*.f64 (/.f64 (log.f64 y) t) (+.f64 (/.f64 (log.f64 y) t) x))) (cbrt.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 (log.f64 y) t) 3))))))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (/.f64 (neg.f64 (log.f64 y)) t) (/.f64 (neg.f64 (log.f64 y)) t))) (-.f64 x (/.f64 (neg.f64 (log.f64 y)) t)))
(*.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (log.f64 y) t) 2)) (/.f64 1 (+.f64 (/.f64 (log.f64 y) t) x)))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (log.f64 y) t) 2)) (+.f64 (/.f64 (log.f64 y) t) x))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (/.f64 (neg.f64 (log.f64 y)) t) 3)) (-.f64 (+.f64 (*.f64 x x) (*.f64 (/.f64 (neg.f64 (log.f64 y)) t) (/.f64 (neg.f64 (log.f64 y)) t))) (*.f64 x (/.f64 (neg.f64 (log.f64 y)) t))))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 (log.f64 y) t) 3)) (fma.f64 x x (*.f64 (/.f64 (log.f64 y) t) (+.f64 (/.f64 (log.f64 y) t) x))))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (log.f64 y) t) 2))) (neg.f64 (+.f64 (/.f64 (log.f64 y) t) x)))
(/.f64 (+.f64 (neg.f64 (*.f64 x x)) (pow.f64 (/.f64 (log.f64 y) t) 2)) (neg.f64 (+.f64 (/.f64 (log.f64 y) t) x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 (log.f64 y) t) 3))) (neg.f64 (fma.f64 x x (*.f64 (/.f64 (log.f64 y) t) (+.f64 (/.f64 (log.f64 y) t) x)))))
(/.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (log.f64 y) t) 2)) 1) (+.f64 (/.f64 (log.f64 y) t) x))
(*.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (log.f64 y) t) 2)) (/.f64 1 (+.f64 (/.f64 (log.f64 y) t) x)))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (log.f64 y) t) 2)) (+.f64 (/.f64 (log.f64 y) t) x))
(/.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (log.f64 y) t) 2)) (sqrt.f64 (+.f64 (/.f64 (log.f64 y) t) x))) (sqrt.f64 (+.f64 (/.f64 (log.f64 y) t) x)))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (log.f64 y) t) 2)) (*.f64 (sqrt.f64 (+.f64 (/.f64 (log.f64 y) t) x)) (sqrt.f64 (+.f64 (/.f64 (log.f64 y) t) x))))
(/.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (log.f64 y) t) 2)) (*.f64 (cbrt.f64 (+.f64 (/.f64 (log.f64 y) t) x)) (cbrt.f64 (+.f64 (/.f64 (log.f64 y) t) x)))) (cbrt.f64 (+.f64 (/.f64 (log.f64 y) t) x)))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (log.f64 y) t) 2)) (*.f64 (cbrt.f64 (+.f64 (/.f64 (log.f64 y) t) x)) (*.f64 (cbrt.f64 (+.f64 (/.f64 (log.f64 y) t) x)) (cbrt.f64 (+.f64 (/.f64 (log.f64 y) t) x)))))
(/.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (log.f64 y) t) 2)) (cbrt.f64 (+.f64 (/.f64 (log.f64 y) t) x))) (*.f64 (cbrt.f64 (+.f64 (/.f64 (log.f64 y) t) x)) (cbrt.f64 (+.f64 (/.f64 (log.f64 y) t) x))))
(/.f64 (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 (log.f64 y) t) 3)) 1) (fma.f64 x x (*.f64 (/.f64 (log.f64 y) t) (+.f64 (/.f64 (log.f64 y) t) x))))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 (log.f64 y) t) 3)) (fma.f64 x x (*.f64 (/.f64 (log.f64 y) t) (+.f64 (/.f64 (log.f64 y) t) x))))
(/.f64 (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 (log.f64 y) t) 3)) (sqrt.f64 (fma.f64 x x (*.f64 (/.f64 (log.f64 y) t) (+.f64 (/.f64 (log.f64 y) t) x))))) (sqrt.f64 (fma.f64 x x (*.f64 (/.f64 (log.f64 y) t) (+.f64 (/.f64 (log.f64 y) t) x)))))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 (log.f64 y) t) 3)) (*.f64 (sqrt.f64 (fma.f64 x x (*.f64 (/.f64 (log.f64 y) t) (+.f64 (/.f64 (log.f64 y) t) x)))) (sqrt.f64 (fma.f64 x x (*.f64 (/.f64 (log.f64 y) t) (+.f64 (/.f64 (log.f64 y) t) x))))))
(/.f64 (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 (log.f64 y) t) 3)) (*.f64 (cbrt.f64 (fma.f64 x x (*.f64 (/.f64 (log.f64 y) t) (+.f64 (/.f64 (log.f64 y) t) x)))) (cbrt.f64 (fma.f64 x x (*.f64 (/.f64 (log.f64 y) t) (+.f64 (/.f64 (log.f64 y) t) x)))))) (cbrt.f64 (fma.f64 x x (*.f64 (/.f64 (log.f64 y) t) (+.f64 (/.f64 (log.f64 y) t) x)))))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 (log.f64 y) t) 3)) (*.f64 (cbrt.f64 (fma.f64 x x (*.f64 (/.f64 (log.f64 y) t) (+.f64 (/.f64 (log.f64 y) t) x)))) (*.f64 (cbrt.f64 (fma.f64 x x (*.f64 (/.f64 (log.f64 y) t) (+.f64 (/.f64 (log.f64 y) t) x)))) (cbrt.f64 (fma.f64 x x (*.f64 (/.f64 (log.f64 y) t) (+.f64 (/.f64 (log.f64 y) t) x)))))))
(pow.f64 (-.f64 x (/.f64 (log.f64 y) t)) 1)
(-.f64 x (/.f64 (log.f64 y) t))
(pow.f64 (sqrt.f64 (-.f64 x (/.f64 (log.f64 y) t))) 2)
(-.f64 x (/.f64 (log.f64 y) t))
(pow.f64 (cbrt.f64 (-.f64 x (/.f64 (log.f64 y) t))) 3)
(-.f64 x (/.f64 (log.f64 y) t))
(pow.f64 (pow.f64 (-.f64 x (/.f64 (log.f64 y) t)) 3) 1/3)
(-.f64 x (/.f64 (log.f64 y) t))
(sqrt.f64 (pow.f64 (-.f64 x (/.f64 (log.f64 y) t)) 2))
(log.f64 (exp.f64 (-.f64 x (/.f64 (log.f64 y) t))))
(-.f64 x (/.f64 (log.f64 y) t))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 x (/.f64 (log.f64 y) t)))))
(-.f64 x (/.f64 (log.f64 y) t))
(cbrt.f64 (pow.f64 (-.f64 x (/.f64 (log.f64 y) t)) 3))
(-.f64 x (/.f64 (log.f64 y) t))
(expm1.f64 (log1p.f64 (-.f64 x (/.f64 (log.f64 y) t))))
(-.f64 x (/.f64 (log.f64 y) t))
(exp.f64 (log.f64 (-.f64 x (/.f64 (log.f64 y) t))))
(-.f64 x (/.f64 (log.f64 y) t))
(exp.f64 (*.f64 (log.f64 (-.f64 x (/.f64 (log.f64 y) t))) 1))
(-.f64 x (/.f64 (log.f64 y) t))
(log1p.f64 (expm1.f64 (-.f64 x (/.f64 (log.f64 y) t))))
(-.f64 x (/.f64 (log.f64 y) t))
(fma.f64 1 x (/.f64 (neg.f64 (log.f64 y)) t))
(-.f64 x (/.f64 (log.f64 y) t))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (/.f64 (neg.f64 (log.f64 y)) t))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (/.f64 (neg.f64 (log.f64 y)) t))

eval569.0ms (3.1%)

Compiler

Compiled 55925 to 18335 computations (67.2% saved)

prune753.0ms (4.2%)

Pruning

25 alts after pruning (22 fresh and 3 done)

PrunedKeptTotal
New1828181846
Fresh6410
Picked101
Done235
Total1837251862
Accurracy
100.0%
Counts
1862 → 25
Alt Table
Click to see full alt table
StatusAccuracyProgram
97.0%
(pow.f64 (cbrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) 3)
3.2%
(/.f64 (neg.f64 (+.f64 (log.f64 y) (log.f64 (expm1.f64 z)))) t)
11.4%
(/.f64 (neg.f64 (*.f64 y z)) t)
28.5%
(/.f64 (neg.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) t)
16.7%
(/.f64 (neg.f64 (log1p.f64 (*.f64 y (+.f64 z (*.f64 (*.f64 z z) 1/2))))) t)
17.6%
(/.f64 (neg.f64 (log1p.f64 (*.f64 y z))) t)
15.5%
(/.f64 (neg.f64 (expm1.f64 z)) (/.f64 t y))
81.1%
(/.f64 1 (/.f64 1 (-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t)))))
10.8%
(-.f64 (-.f64 x (/.f64 (log.f64 y) t)) (/.f64 (log.f64 z) t))
9.3%
(-.f64 (*.f64 -1/2 (*.f64 (/.f64 (*.f64 z z) t) (-.f64 y (*.f64 y y)))) (*.f64 (/.f64 y t) z))
79.4%
(-.f64 x (pow.f64 (/.f64 t (log1p.f64 (*.f64 z y))) -1))
59.7%
(-.f64 x (pow.f64 (sqrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 2))
47.2%
(-.f64 x (/.f64 (/.f64 (neg.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) (sqrt.f64 (neg.f64 t))) (sqrt.f64 (neg.f64 t))))
70.6%
(-.f64 x (/.f64 (/.f64 z t) (/.f64 1 y)))
70.5%
(-.f64 x (/.f64 (/.f64 y (/.f64 1 z)) t))
99.1%
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))
81.2%
(-.f64 x (/.f64 (expm1.f64 z) (/.f64 t y)))
70.6%
(-.f64 x (/.f64 y (/.f64 t z)))
99.1%
(-.f64 x (/.f64 1 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z))))))
65.8%
(-.f64 x (+.f64 (/.f64 y (/.f64 t z)) (*.f64 1/2 (/.f64 y (/.f64 t (*.f64 z z))))))
15.6%
(*.f64 (/.f64 (neg.f64 y) t) (expm1.f64 z))
10.3%
(*.f64 (/.f64 (neg.f64 y) t) z)
28.4%
(*.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (/.f64 1 (neg.f64 t)))
12.0%
(neg.f64 (/.f64 y (/.f64 t z)))
72.6%
x
Compiler

Compiled 642 to 450 computations (29.9% saved)

localize14.0ms (0.1%)

Local Accuracy

Found 4 expressions with local accuracy:

NewAccuracyProgram
100.0%
(-.f64 x (/.f64 1 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z))))))
100.0%
(*.f64 y (expm1.f64 z))
99.6%
(/.f64 1 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))))
91.8%
(/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z))))
Compiler

Compiled 47 to 14 computations (70.2% saved)

series3.0ms (0%)

Counts
2 → 84
Calls

21 calls:

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

rewrite157.0ms (0.9%)

Algorithm
batch-egg-rewrite
Rules
1758×associate-*r/
1264×associate-*l/
1224×associate-/r*
298×add-sqr-sqrt
292×*-un-lft-identity
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01460
128948
2374248
Stop Event
node limit
Counts
2 → 132
Calls
Call 1
Inputs
(/.f64 1 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))))
(-.f64 x (/.f64 1 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z))))))
Outputs
(((-.f64 (exp.f64 (log1p.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) 1) (2)) ((*.f64 1 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) (2)) ((*.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (/.f64 1 t)) (2)) ((*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 1) (2)) ((*.f64 (sqrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) (sqrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) (2)) ((*.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)) (2)) ((*.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))) (2)) ((*.f64 (/.f64 1 t) (log1p.f64 (*.f64 y (expm1.f64 z)))) (2)) ((*.f64 (/.f64 1 t) (pow.f64 (/.f64 1 (log1p.f64 (*.f64 y (expm1.f64 z)))) -1)) (2)) ((*.f64 -1 (/.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) t)) (2)) ((*.f64 (/.f64 (cbrt.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 2)) t) (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) (2)) ((*.f64 (/.f64 1 (sqrt.f64 t)) (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (sqrt.f64 t))) (2)) ((*.f64 (/.f64 1 (pow.f64 (cbrt.f64 t) 2)) (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (cbrt.f64 t))) (2)) ((*.f64 (/.f64 -1 t) (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) (2)) ((*.f64 (/.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 1) (/.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) t)) (2)) ((*.f64 (/.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) t) (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) (2)) ((*.f64 (/.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (sqrt.f64 t)) (/.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (sqrt.f64 t))) (2)) ((*.f64 (/.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (pow.f64 (cbrt.f64 t) 2)) (/.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (cbrt.f64 t))) (2)) ((*.f64 (/.f64 (cbrt.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 2)) 1) (/.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) t)) (2)) ((*.f64 (/.f64 (cbrt.f64 (pow.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))) (2)) ((*.f64 (/.f64 (cbrt.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 2)) (pow.f64 (cbrt.f64 t) 2)) (/.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (cbrt.f64 t))) (2)) ((*.f64 (pow.f64 (sqrt.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z))))) -1) (pow.f64 (sqrt.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z))))) -1)) (2)) ((*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z))))) 2) -1) (pow.f64 (cbrt.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z))))) -1)) (2)) ((pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) -1) (2)) ((pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 1) (2)) ((pow.f64 (sqrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 2) (2)) ((pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 3) (2)) ((pow.f64 (pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) -3) 1/3) (2)) ((sqrt.f64 (pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) -2)) (2)) ((log.f64 (exp.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) (2)) ((log.f64 (+.f64 1 (expm1.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))) (2)) ((cbrt.f64 (pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) -3)) (2)) ((cbrt.f64 (/.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 3) (pow.f64 t 3))) (2)) ((expm1.f64 (log1p.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) (2)) ((exp.f64 (log.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) (2)) ((exp.f64 (-.f64 (log.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (log.f64 t))) (2)) ((exp.f64 (*.f64 (log.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z))))) -1)) (2)) ((exp.f64 (*.f64 (log.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 1)) (2)) ((log1p.f64 (expm1.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) (2)))
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simplify294.0ms (1.6%)

Algorithm
egg-herbie
Rules
1228×associate-+l+
1160×associate-+r+
1016×+-commutative
642×associate--r+
576×fma-def
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
047612542
1127712166
2537512166
Stop Event
node limit
Counts
216 → 279
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)
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(/.f64 (*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (/.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) t) 3)) 1) (+.f64 (*.f64 x x) (-.f64 (pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) -2) (/.f64 x (/.f64 (neg.f64 t) (log1p.f64 (*.f64 y (expm1.f64 z))))))))
(/.f64 (*.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) -2))) 1) (neg.f64 (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x)))
(/.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) -3))) 1) (neg.f64 (fma.f64 x x (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x)))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) -2))) (sqrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))) (sqrt.f64 (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x)))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) -3))) (sqrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))) (sqrt.f64 (fma.f64 x x (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x)))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) -2))) (pow.f64 (cbrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) 2)) (cbrt.f64 (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x)))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) -3))) (pow.f64 (cbrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) 2)) (cbrt.f64 (fma.f64 x x (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x)))))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (/.f64 (pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) -3) (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))))) (/.f64 1 (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x))) (+.f64 (pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) -2) (*.f64 x x)))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) -2) 3)) (/.f64 1 (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x))) (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 (/.f64 (pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) -3) (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z))))) (*.f64 (*.f64 x x) (pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) -2)))))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 x 3) (pow.f64 x 3)) (*.f64 (pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) -3) (pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) -3))) (/.f64 1 (fma.f64 x x (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x))))) (+.f64 (pow.f64 x 3) (pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) -3)))
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 x 3) 3) (pow.f64 (pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) -3) 3)) (/.f64 1 (fma.f64 x x (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x))))) (+.f64 (*.f64 (pow.f64 x 3) (pow.f64 x 3)) (+.f64 (*.f64 (pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) -3) (pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) -3)) (*.f64 (pow.f64 x 3) (pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) -3)))))
(/.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) -2)) 1) (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x))
(/.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) -2)) (sqrt.f64 (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x))) (sqrt.f64 (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x)))
(/.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) -2)) (*.f64 (cbrt.f64 (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x)) (cbrt.f64 (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x)))) (cbrt.f64 (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x)))
(/.f64 (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) -3)) 1) (fma.f64 x x (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x))))
(/.f64 (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) -3)) (sqrt.f64 (fma.f64 x x (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x))))) (sqrt.f64 (fma.f64 x x (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x)))))
(/.f64 (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) -3)) (*.f64 (cbrt.f64 (fma.f64 x x (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x)))) (cbrt.f64 (fma.f64 x x (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x)))))) (cbrt.f64 (fma.f64 x x (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x)))))
(pow.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 1)
(pow.f64 (sqrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) 2)
(pow.f64 (cbrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) 3)
(pow.f64 (pow.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 3) 1/3)
(sqrt.f64 (pow.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 2))
(log.f64 (exp.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))))
(cbrt.f64 (pow.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 3))
(expm1.f64 (log1p.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))))
(exp.f64 (log.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))))
(exp.f64 (*.f64 (log.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) 1))
(log1p.f64 (expm1.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))))
(fma.f64 1 x (/.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) t))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (/.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) t))
(fma.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 x) (/.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) t))
Outputs
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (*.f64 (expm1.f64 z) y) t)
(/.f64 (expm1.f64 z) (/.f64 t y))
(+.f64 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t) (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (pow.f64 y 2)) t)))
(+.f64 (/.f64 (*.f64 (expm1.f64 z) y) t) (*.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)))
(+.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 (*.f64 (expm1.f64 z) y) t) (*.f64 -1/2 (/.f64 (pow.f64 (expm1.f64 z) 2) (/.f64 t (*.f64 y y))))))
(fma.f64 1/3 (*.f64 (/.f64 (pow.f64 (expm1.f64 z) 3) t) (pow.f64 y 3)) (fma.f64 -1/2 (*.f64 (/.f64 (pow.f64 (expm1.f64 z) 2) t) (*.f64 y y)) (/.f64 (expm1.f64 z) (/.f64 t y))))
(+.f64 (*.f64 -1/4 (/.f64 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 4) (pow.f64 y 4)) t)) (+.f64 (*.f64 1/3 (/.f64 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 3) (pow.f64 y 3)) t)) (+.f64 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t) (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (pow.f64 y 2)) t)))))
(fma.f64 -1/4 (/.f64 (pow.f64 (expm1.f64 z) 4) (/.f64 t (pow.f64 y 4))) (fma.f64 1/3 (/.f64 (pow.f64 (expm1.f64 z) 3) (/.f64 t (pow.f64 y 3))) (+.f64 (/.f64 (*.f64 (expm1.f64 z) y) t) (*.f64 -1/2 (/.f64 (pow.f64 (expm1.f64 z) 2) (/.f64 t (*.f64 y y)))))))
(fma.f64 -1/4 (*.f64 (/.f64 (pow.f64 (expm1.f64 z) 4) t) (pow.f64 y 4)) (fma.f64 1/3 (*.f64 (/.f64 (pow.f64 (expm1.f64 z) 3) t) (pow.f64 y 3)) (fma.f64 -1/2 (*.f64 (/.f64 (pow.f64 (expm1.f64 z) 2) t) (*.f64 y y)) (/.f64 (expm1.f64 z) (/.f64 t y)))))
(/.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) t)
(/.f64 (+.f64 (log.f64 (expm1.f64 z)) (neg.f64 (neg.f64 (log.f64 y)))) t)
(/.f64 (+.f64 (log.f64 (expm1.f64 z)) (log.f64 y)) t)
(+.f64 (/.f64 (log.f64 (-.f64 (exp.f64 z) 1)) t) (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 y)) t)) (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) (*.f64 y t)))))
(+.f64 (/.f64 (log.f64 (expm1.f64 z)) t) (fma.f64 -1 (/.f64 (neg.f64 (log.f64 y)) t) (/.f64 1 (*.f64 (expm1.f64 z) (*.f64 y t)))))
(+.f64 (/.f64 (log.f64 y) t) (+.f64 (/.f64 (log.f64 (expm1.f64 z)) t) (/.f64 1 (*.f64 (expm1.f64 z) (*.f64 y t)))))
(-.f64 (+.f64 (/.f64 (log.f64 (-.f64 (exp.f64 z) 1)) t) (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 y)) t)) (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) (*.f64 y t))))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (*.f64 (pow.f64 y 2) t)))))
(+.f64 (/.f64 (log.f64 (expm1.f64 z)) t) (-.f64 (fma.f64 -1 (/.f64 (neg.f64 (log.f64 y)) t) (/.f64 1 (*.f64 (expm1.f64 z) (*.f64 y t)))) (/.f64 1/2 (*.f64 (pow.f64 (expm1.f64 z) 2) (*.f64 t (*.f64 y y))))))
(+.f64 (+.f64 (/.f64 (log.f64 y) t) (/.f64 1 (*.f64 (expm1.f64 z) (*.f64 y t)))) (+.f64 (/.f64 (log.f64 (expm1.f64 z)) t) (/.f64 -1/2 (*.f64 t (*.f64 y (*.f64 y (pow.f64 (expm1.f64 z) 2)))))))
(+.f64 (/.f64 (log.f64 y) t) (+.f64 (/.f64 1 (*.f64 (expm1.f64 z) (*.f64 y t))) (-.f64 (/.f64 (log.f64 (expm1.f64 z)) t) (/.f64 1/2 (*.f64 t (*.f64 y (*.f64 y (pow.f64 (expm1.f64 z) 2))))))))
(-.f64 (+.f64 (/.f64 (log.f64 (-.f64 (exp.f64 z) 1)) t) (+.f64 (*.f64 1/3 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 3) (*.f64 (pow.f64 y 3) t)))) (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 y)) t)) (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) (*.f64 y t)))))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (*.f64 (pow.f64 y 2) t)))))
(+.f64 (/.f64 (log.f64 (expm1.f64 z)) t) (-.f64 (+.f64 (fma.f64 -1 (/.f64 (neg.f64 (log.f64 y)) t) (/.f64 1 (*.f64 (expm1.f64 z) (*.f64 y t)))) (/.f64 1/3 (*.f64 (pow.f64 (expm1.f64 z) 3) (*.f64 t (pow.f64 y 3))))) (/.f64 1/2 (*.f64 (pow.f64 (expm1.f64 z) 2) (*.f64 t (*.f64 y y))))))
(+.f64 (+.f64 (/.f64 (log.f64 y) t) (+.f64 (/.f64 1 (*.f64 (expm1.f64 z) (*.f64 y t))) (/.f64 1/3 (*.f64 t (*.f64 (pow.f64 (expm1.f64 z) 3) (pow.f64 y 3)))))) (+.f64 (/.f64 (log.f64 (expm1.f64 z)) t) (/.f64 -1/2 (*.f64 t (*.f64 y (*.f64 y (pow.f64 (expm1.f64 z) 2)))))))
(+.f64 (/.f64 (log.f64 (expm1.f64 z)) t) (+.f64 (/.f64 (log.f64 y) t) (+.f64 (/.f64 1/3 (*.f64 t (*.f64 (pow.f64 (expm1.f64 z) 3) (pow.f64 y 3)))) (+.f64 (/.f64 1 (*.f64 (expm1.f64 z) (*.f64 y t))) (/.f64 -1/2 (*.f64 t (*.f64 y (*.f64 y (pow.f64 (expm1.f64 z) 2)))))))))
(/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1)))) t)
(/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 (neg.f64 (expm1.f64 z)))) t)
(/.f64 (-.f64 (log.f64 (neg.f64 (expm1.f64 z))) (log.f64 (/.f64 -1 y))) t)
(+.f64 (/.f64 (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1))) t) (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 y)) t)) (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) (*.f64 y t)))))
(+.f64 (/.f64 (log.f64 (neg.f64 (expm1.f64 z))) t) (fma.f64 -1 (/.f64 (log.f64 (/.f64 -1 y)) t) (/.f64 1 (*.f64 (expm1.f64 z) (*.f64 y t)))))
(+.f64 (/.f64 (log.f64 (neg.f64 (expm1.f64 z))) t) (-.f64 (/.f64 1 (*.f64 (expm1.f64 z) (*.f64 y t))) (/.f64 (log.f64 (/.f64 -1 y)) t)))
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(/.f64 (-.f64 (pow.f64 x 6) (pow.f64 (/.f64 t (log1p.f64 (*.f64 (expm1.f64 z) y))) -6)) (*.f64 (+.f64 (pow.f64 (/.f64 t (log1p.f64 (*.f64 (expm1.f64 z) y))) -3) (pow.f64 x 3)) (fma.f64 x x (*.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) (+.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))))))
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 x 3) 3) (pow.f64 (pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) -3) 3)) (/.f64 1 (fma.f64 x x (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x))))) (+.f64 (*.f64 (pow.f64 x 3) (pow.f64 x 3)) (+.f64 (*.f64 (pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) -3) (pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) -3)) (*.f64 (pow.f64 x 3) (pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) -3)))))
(/.f64 (-.f64 (pow.f64 (pow.f64 x 3) 3) (pow.f64 (pow.f64 (/.f64 t (log1p.f64 (*.f64 (expm1.f64 z) y))) -3) 3)) (/.f64 (+.f64 (pow.f64 x 6) (*.f64 (pow.f64 (/.f64 t (log1p.f64 (*.f64 (expm1.f64 z) y))) -3) (+.f64 (pow.f64 (/.f64 t (log1p.f64 (*.f64 (expm1.f64 z) y))) -3) (pow.f64 x 3)))) (/.f64 1 (fma.f64 x x (*.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) (+.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 x 3) 3) (pow.f64 (pow.f64 (/.f64 t (log1p.f64 (*.f64 (expm1.f64 z) y))) -3) 3)) (*.f64 (fma.f64 (pow.f64 (/.f64 t (log1p.f64 (*.f64 (expm1.f64 z) y))) -3) (+.f64 (pow.f64 (/.f64 t (log1p.f64 (*.f64 (expm1.f64 z) y))) -3) (pow.f64 x 3)) (pow.f64 x 6)) (fma.f64 x x (*.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) (+.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))))))
(/.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) -2)) 1) (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 t (log1p.f64 (*.f64 (expm1.f64 z) y))) -2)) (+.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)))
(/.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) -2)) (sqrt.f64 (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x))) (sqrt.f64 (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x)))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 t (log1p.f64 (*.f64 (expm1.f64 z) y))) -2)) (+.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)))
(/.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) -2)) (*.f64 (cbrt.f64 (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x)) (cbrt.f64 (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x)))) (cbrt.f64 (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x)))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 t (log1p.f64 (*.f64 (expm1.f64 z) y))) -2)) (+.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)))
(/.f64 (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) -3)) 1) (fma.f64 x x (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x))))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 t (log1p.f64 (*.f64 (expm1.f64 z) y))) -3)) (fma.f64 x x (*.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) (+.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)))))
(/.f64 (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) -3)) (sqrt.f64 (fma.f64 x x (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x))))) (sqrt.f64 (fma.f64 x x (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x)))))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 t (log1p.f64 (*.f64 (expm1.f64 z) y))) -3)) (fma.f64 x x (*.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) (+.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)))))
(/.f64 (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) -3)) (*.f64 (cbrt.f64 (fma.f64 x x (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x)))) (cbrt.f64 (fma.f64 x x (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x)))))) (cbrt.f64 (fma.f64 x x (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x)))))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 t (log1p.f64 (*.f64 (expm1.f64 z) y))) -3)) (fma.f64 x x (*.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) (+.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)))))
(pow.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 1)
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))
(pow.f64 (sqrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) 2)
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))
(pow.f64 (cbrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) 3)
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))
(pow.f64 (pow.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 3) 1/3)
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))
(sqrt.f64 (pow.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 2))
(sqrt.f64 (pow.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) 2))
(fabs.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)))
(log.f64 (exp.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))))
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))))
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))
(cbrt.f64 (pow.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 3))
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))
(expm1.f64 (log1p.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))))
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))
(exp.f64 (log.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))))
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))
(exp.f64 (*.f64 (log.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) 1))
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))
(log1p.f64 (expm1.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))))
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))
(fma.f64 1 x (/.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) t))
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (/.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) t))
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))
(fma.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 x) (/.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) t))
(fma.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 x) (/.f64 (neg.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) t))
(-.f64 (*.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 x)) (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))

localize7.0ms (0%)

Local Accuracy

Found 1 expressions with local accuracy:

NewAccuracyProgram
94.2%
(/.f64 y (/.f64 t z))
Compiler

Compiled 21 to 7 computations (66.7% saved)

series1.0ms (0%)

Counts
1 → 36
Calls

9 calls:

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

rewrite59.0ms (0.3%)

Algorithm
batch-egg-rewrite
Rules
1766×add-sqr-sqrt
1754×*-un-lft-identity
1636×add-cube-cbrt
1612×add-cbrt-cube
160×pow1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0713
115113
2215513
Stop Event
node limit
Counts
1 → 42
Calls
Call 1
Inputs
(/.f64 y (/.f64 t z))
Outputs
(((-.f64 (exp.f64 (log1p.f64 (*.f64 y (/.f64 z t)))) 1) (2)) ((*.f64 y (/.f64 z t)) (2)) ((*.f64 z (/.f64 y t)) (2)) ((*.f64 (*.f64 y (/.f64 z t)) 1) (2)) ((*.f64 1 (*.f64 y (/.f64 z t))) (2)) ((*.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (/.f64 z t))) (2)) ((*.f64 (sqrt.f64 (*.f64 y (/.f64 z t))) (sqrt.f64 (*.f64 y (/.f64 z t)))) (2)) ((*.f64 (cbrt.f64 (*.f64 y y)) (*.f64 (cbrt.f64 y) (/.f64 z t))) (2)) ((*.f64 (cbrt.f64 (*.f64 y (/.f64 z t))) (pow.f64 (cbrt.f64 (*.f64 y (/.f64 z t))) 2)) (2)) ((*.f64 (pow.f64 (cbrt.f64 (*.f64 y (/.f64 z t))) 2) (cbrt.f64 (*.f64 y (/.f64 z t)))) (2)) ((*.f64 (/.f64 y t) z) (2)) ((*.f64 (/.f64 z t) y) (2)) ((*.f64 (neg.f64 y) (/.f64 1 (/.f64 (neg.f64 t) z))) (2)) ((*.f64 (*.f64 (/.f64 y t) 1) z) (2)) ((*.f64 (*.f64 (/.f64 y t) (sqrt.f64 z)) (sqrt.f64 z)) (2)) ((*.f64 (*.f64 (/.f64 y t) (cbrt.f64 (*.f64 z z))) (cbrt.f64 z)) (2)) ((*.f64 (/.f64 y 1) (/.f64 z t)) (2)) ((*.f64 (/.f64 1 t) (/.f64 y (/.f64 1 z))) (2)) ((*.f64 (/.f64 1 (sqrt.f64 (/.f64 t z))) (/.f64 y (sqrt.f64 (/.f64 t z)))) (2)) ((*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 t z)) 2)) (/.f64 y (cbrt.f64 (/.f64 t z)))) (2)) ((*.f64 (/.f64 y (neg.f64 t)) (neg.f64 z)) (2)) ((*.f64 (/.f64 (sqrt.f64 y) 1) (/.f64 (sqrt.f64 y) (/.f64 t z))) (2)) ((*.f64 (/.f64 (sqrt.f64 y) t) (/.f64 (sqrt.f64 y) (/.f64 1 z))) (2)) ((*.f64 (/.f64 (cbrt.f64 (*.f64 y y)) 1) (/.f64 (cbrt.f64 y) (/.f64 t z))) (2)) ((*.f64 (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 (/.f64 t z)) 2)) (/.f64 (sqrt.f64 y) (cbrt.f64 (/.f64 t z)))) (2)) ((*.f64 (/.f64 (cbrt.f64 (*.f64 y y)) t) (/.f64 (cbrt.f64 y) (/.f64 1 z))) (2)) ((*.f64 (/.f64 (cbrt.f64 (*.f64 y y)) (sqrt.f64 (/.f64 t z))) (/.f64 (cbrt.f64 y) (sqrt.f64 (/.f64 t z)))) (2)) ((*.f64 (/.f64 (cbrt.f64 (*.f64 y y)) (pow.f64 (cbrt.f64 (/.f64 t z)) 2)) (cbrt.f64 (*.f64 y (/.f64 z t)))) (2)) ((pow.f64 (*.f64 y (/.f64 z t)) 1) (2)) ((pow.f64 (sqrt.f64 (*.f64 y (/.f64 z t))) 2) (2)) ((pow.f64 (cbrt.f64 (*.f64 y (/.f64 z t))) 3) (2)) ((pow.f64 (pow.f64 (*.f64 y (/.f64 z t)) 3) 1/3) (2)) ((pow.f64 (/.f64 t (*.f64 y z)) -1) (2)) ((neg.f64 (/.f64 y (/.f64 (neg.f64 t) z))) (2)) ((sqrt.f64 (pow.f64 (*.f64 y (/.f64 z t)) 2)) (2)) ((log.f64 (pow.f64 (exp.f64 y) (/.f64 z t))) (2)) ((log.f64 (+.f64 1 (expm1.f64 (*.f64 y (/.f64 z t))))) (2)) ((cbrt.f64 (pow.f64 (*.f64 y (/.f64 z t)) 3)) (2)) ((expm1.f64 (log1p.f64 (*.f64 y (/.f64 z t)))) (2)) ((exp.f64 (log.f64 (*.f64 y (/.f64 z t)))) (2)) ((exp.f64 (*.f64 (log.f64 (*.f64 y (/.f64 z t))) 1)) (2)) ((log1p.f64 (expm1.f64 (*.f64 y (/.f64 z t)))) (2)))

simplify54.0ms (0.3%)

Algorithm
egg-herbie
Rules
1482×associate-+r+
1336×associate-+l+
1164×associate-*r/
774×associate-*l/
686×associate-+l-
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01161266
12921248
210881248
349181248
Stop Event
node limit
Counts
78 → 55
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 (exp.f64 (log1p.f64 (*.f64 y (/.f64 z t)))) 1)
(*.f64 y (/.f64 z t))
(*.f64 z (/.f64 y t))
(*.f64 (*.f64 y (/.f64 z t)) 1)
(*.f64 1 (*.f64 y (/.f64 z t)))
(*.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (/.f64 z t)))
(*.f64 (sqrt.f64 (*.f64 y (/.f64 z t))) (sqrt.f64 (*.f64 y (/.f64 z t))))
(*.f64 (cbrt.f64 (*.f64 y y)) (*.f64 (cbrt.f64 y) (/.f64 z t)))
(*.f64 (cbrt.f64 (*.f64 y (/.f64 z t))) (pow.f64 (cbrt.f64 (*.f64 y (/.f64 z t))) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 y (/.f64 z t))) 2) (cbrt.f64 (*.f64 y (/.f64 z t))))
(*.f64 (/.f64 y t) z)
(*.f64 (/.f64 z t) y)
(*.f64 (neg.f64 y) (/.f64 1 (/.f64 (neg.f64 t) z)))
(*.f64 (*.f64 (/.f64 y t) 1) z)
(*.f64 (*.f64 (/.f64 y t) (sqrt.f64 z)) (sqrt.f64 z))
(*.f64 (*.f64 (/.f64 y t) (cbrt.f64 (*.f64 z z))) (cbrt.f64 z))
(*.f64 (/.f64 y 1) (/.f64 z t))
(*.f64 (/.f64 1 t) (/.f64 y (/.f64 1 z)))
(*.f64 (/.f64 1 (sqrt.f64 (/.f64 t z))) (/.f64 y (sqrt.f64 (/.f64 t z))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 t z)) 2)) (/.f64 y (cbrt.f64 (/.f64 t z))))
(*.f64 (/.f64 y (neg.f64 t)) (neg.f64 z))
(*.f64 (/.f64 (sqrt.f64 y) 1) (/.f64 (sqrt.f64 y) (/.f64 t z)))
(*.f64 (/.f64 (sqrt.f64 y) t) (/.f64 (sqrt.f64 y) (/.f64 1 z)))
(*.f64 (/.f64 (cbrt.f64 (*.f64 y y)) 1) (/.f64 (cbrt.f64 y) (/.f64 t z)))
(*.f64 (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 (/.f64 t z)) 2)) (/.f64 (sqrt.f64 y) (cbrt.f64 (/.f64 t z))))
(*.f64 (/.f64 (cbrt.f64 (*.f64 y y)) t) (/.f64 (cbrt.f64 y) (/.f64 1 z)))
(*.f64 (/.f64 (cbrt.f64 (*.f64 y y)) (sqrt.f64 (/.f64 t z))) (/.f64 (cbrt.f64 y) (sqrt.f64 (/.f64 t z))))
(*.f64 (/.f64 (cbrt.f64 (*.f64 y y)) (pow.f64 (cbrt.f64 (/.f64 t z)) 2)) (cbrt.f64 (*.f64 y (/.f64 z t))))
(pow.f64 (*.f64 y (/.f64 z t)) 1)
(pow.f64 (sqrt.f64 (*.f64 y (/.f64 z t))) 2)
(pow.f64 (cbrt.f64 (*.f64 y (/.f64 z t))) 3)
(pow.f64 (pow.f64 (*.f64 y (/.f64 z t)) 3) 1/3)
(pow.f64 (/.f64 t (*.f64 y z)) -1)
(neg.f64 (/.f64 y (/.f64 (neg.f64 t) z)))
(sqrt.f64 (pow.f64 (*.f64 y (/.f64 z t)) 2))
(log.f64 (pow.f64 (exp.f64 y) (/.f64 z t)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 y (/.f64 z t)))))
(cbrt.f64 (pow.f64 (*.f64 y (/.f64 z t)) 3))
(expm1.f64 (log1p.f64 (*.f64 y (/.f64 z t))))
(exp.f64 (log.f64 (*.f64 y (/.f64 z t))))
(exp.f64 (*.f64 (log.f64 (*.f64 y (/.f64 z t))) 1))
(log1p.f64 (expm1.f64 (*.f64 y (/.f64 z t))))
Outputs
(/.f64 (*.f64 y z) t)
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(/.f64 (*.f64 y z) t)
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(/.f64 (*.f64 y z) t)
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(/.f64 (*.f64 y z) t)
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(/.f64 (*.f64 y z) t)
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(/.f64 (*.f64 y z) t)
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(/.f64 (*.f64 y z) t)
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(/.f64 (*.f64 y z) t)
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(/.f64 (*.f64 y z) t)
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(/.f64 (*.f64 y z) t)
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(/.f64 (*.f64 y z) t)
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(/.f64 (*.f64 y z) t)
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(/.f64 (*.f64 y z) t)
(*.f64 z (/.f64 y t))
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(/.f64 (*.f64 y z) t)
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(*.f64 y (/.f64 z t))
(/.f64 (*.f64 y z) t)
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(/.f64 (*.f64 y z) t)
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(/.f64 (*.f64 y z) t)
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(/.f64 (*.f64 y z) t)
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(/.f64 (*.f64 y z) t)
(*.f64 z (/.f64 y t))
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(/.f64 (*.f64 y z) t)
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(/.f64 (*.f64 y z) t)
(*.f64 z (/.f64 y t))
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(/.f64 (*.f64 y z) t)
(*.f64 z (/.f64 y t))
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(/.f64 (*.f64 y z) t)
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(/.f64 (*.f64 y z) t)
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(/.f64 (*.f64 y z) t)
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(/.f64 (*.f64 y z) t)
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(/.f64 (*.f64 y z) t)
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(/.f64 (*.f64 y z) t)
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(/.f64 (*.f64 y z) t)
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(/.f64 (*.f64 y z) t)
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(/.f64 (*.f64 y z) t)
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(/.f64 (*.f64 y z) t)
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(/.f64 (*.f64 y z) t)
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(/.f64 (*.f64 y z) t)
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(/.f64 (*.f64 y z) t)
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(/.f64 (*.f64 y z) t)
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (/.f64 z t)))) 1)
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(*.f64 y (/.f64 z t))
(*.f64 z (/.f64 y t))
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(*.f64 (*.f64 y (/.f64 z t)) 1)
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(*.f64 1 (*.f64 y (/.f64 z t)))
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(*.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (/.f64 z t)))
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(*.f64 (sqrt.f64 (*.f64 y (/.f64 z t))) (sqrt.f64 (*.f64 y (/.f64 z t))))
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(*.f64 (cbrt.f64 (*.f64 y y)) (*.f64 (cbrt.f64 y) (/.f64 z t)))
(*.f64 (cbrt.f64 (*.f64 y y)) (*.f64 (/.f64 z t) (cbrt.f64 y)))
(*.f64 (/.f64 z t) (*.f64 (cbrt.f64 (*.f64 y y)) (cbrt.f64 y)))
(*.f64 (cbrt.f64 (*.f64 y y)) (/.f64 (cbrt.f64 y) (/.f64 t z)))
(*.f64 z (*.f64 (cbrt.f64 (*.f64 y y)) (/.f64 (cbrt.f64 y) t)))
(*.f64 (cbrt.f64 (*.f64 y (/.f64 z t))) (pow.f64 (cbrt.f64 (*.f64 y (/.f64 z t))) 2))
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 y (/.f64 z t))) 2) (cbrt.f64 (*.f64 y (/.f64 z t))))
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(*.f64 (/.f64 y t) z)
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(*.f64 (/.f64 z t) y)
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(*.f64 (neg.f64 y) (/.f64 1 (/.f64 (neg.f64 t) z)))
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(*.f64 (*.f64 (/.f64 y t) 1) z)
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(*.f64 (*.f64 (/.f64 y t) (sqrt.f64 z)) (sqrt.f64 z))
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(*.f64 (*.f64 (/.f64 y t) (cbrt.f64 (*.f64 z z))) (cbrt.f64 z))
(*.f64 (/.f64 y t) (*.f64 (cbrt.f64 (*.f64 z z)) (cbrt.f64 z)))
(*.f64 (/.f64 y 1) (/.f64 z t))
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(*.f64 (/.f64 1 t) (/.f64 y (/.f64 1 z)))
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(*.f64 (/.f64 1 (sqrt.f64 (/.f64 t z))) (/.f64 y (sqrt.f64 (/.f64 t z))))
(/.f64 (/.f64 y (sqrt.f64 (/.f64 t z))) (sqrt.f64 (/.f64 t z)))
(/.f64 y (*.f64 (sqrt.f64 (/.f64 t z)) (sqrt.f64 (/.f64 t z))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 t z)) 2)) (/.f64 y (cbrt.f64 (/.f64 t z))))
(/.f64 (/.f64 y (cbrt.f64 (/.f64 t z))) (pow.f64 (cbrt.f64 (/.f64 t z)) 2))
(/.f64 y (*.f64 (pow.f64 (cbrt.f64 (/.f64 t z)) 2) (cbrt.f64 (/.f64 t z))))
(*.f64 (/.f64 y (neg.f64 t)) (neg.f64 z))
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(*.f64 (/.f64 (sqrt.f64 y) 1) (/.f64 (sqrt.f64 y) (/.f64 t z)))
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(*.f64 (/.f64 (sqrt.f64 y) t) (/.f64 (sqrt.f64 y) (/.f64 1 z)))
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(*.f64 (/.f64 (cbrt.f64 (*.f64 y y)) 1) (/.f64 (cbrt.f64 y) (/.f64 t z)))
(*.f64 (cbrt.f64 (*.f64 y y)) (*.f64 (/.f64 z t) (cbrt.f64 y)))
(*.f64 (/.f64 z t) (*.f64 (cbrt.f64 (*.f64 y y)) (cbrt.f64 y)))
(*.f64 (cbrt.f64 (*.f64 y y)) (/.f64 (cbrt.f64 y) (/.f64 t z)))
(*.f64 z (*.f64 (cbrt.f64 (*.f64 y y)) (/.f64 (cbrt.f64 y) t)))
(*.f64 (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 (/.f64 t z)) 2)) (/.f64 (sqrt.f64 y) (cbrt.f64 (/.f64 t z))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 t z)) 2)) (/.f64 y (cbrt.f64 (/.f64 t z))))
(/.f64 (/.f64 y (cbrt.f64 (/.f64 t z))) (pow.f64 (cbrt.f64 (/.f64 t z)) 2))
(/.f64 y (*.f64 (pow.f64 (cbrt.f64 (/.f64 t z)) 2) (cbrt.f64 (/.f64 t z))))
(*.f64 (/.f64 (cbrt.f64 (*.f64 y y)) t) (/.f64 (cbrt.f64 y) (/.f64 1 z)))
(*.f64 (cbrt.f64 (*.f64 y y)) (*.f64 (/.f64 z t) (cbrt.f64 y)))
(*.f64 (/.f64 z t) (*.f64 (cbrt.f64 (*.f64 y y)) (cbrt.f64 y)))
(*.f64 (cbrt.f64 (*.f64 y y)) (/.f64 (cbrt.f64 y) (/.f64 t z)))
(*.f64 z (*.f64 (cbrt.f64 (*.f64 y y)) (/.f64 (cbrt.f64 y) t)))
(*.f64 (/.f64 (cbrt.f64 (*.f64 y y)) (sqrt.f64 (/.f64 t z))) (/.f64 (cbrt.f64 y) (sqrt.f64 (/.f64 t z))))
(/.f64 (*.f64 (cbrt.f64 (*.f64 y y)) (/.f64 (cbrt.f64 y) (sqrt.f64 (/.f64 t z)))) (sqrt.f64 (/.f64 t z)))
(*.f64 (/.f64 (cbrt.f64 (*.f64 y y)) (pow.f64 (cbrt.f64 (/.f64 t z)) 2)) (cbrt.f64 (*.f64 y (/.f64 z t))))
(/.f64 (*.f64 (cbrt.f64 (*.f64 y y)) (cbrt.f64 (*.f64 z (/.f64 y t)))) (pow.f64 (cbrt.f64 (/.f64 t z)) 2))
(*.f64 (cbrt.f64 (*.f64 y (/.f64 z t))) (/.f64 (cbrt.f64 (*.f64 y y)) (pow.f64 (cbrt.f64 (/.f64 t z)) 2)))
(pow.f64 (*.f64 y (/.f64 z t)) 1)
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(pow.f64 (sqrt.f64 (*.f64 y (/.f64 z t))) 2)
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(pow.f64 (cbrt.f64 (*.f64 y (/.f64 z t))) 3)
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(pow.f64 (pow.f64 (*.f64 y (/.f64 z t)) 3) 1/3)
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(pow.f64 (/.f64 t (*.f64 y z)) -1)
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(neg.f64 (/.f64 y (/.f64 (neg.f64 t) z)))
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(sqrt.f64 (pow.f64 (*.f64 y (/.f64 z t)) 2))
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(log.f64 (pow.f64 (exp.f64 y) (/.f64 z t)))
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 y (/.f64 z t)))))
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(cbrt.f64 (pow.f64 (*.f64 y (/.f64 z t)) 3))
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(expm1.f64 (log1p.f64 (*.f64 y (/.f64 z t))))
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(exp.f64 (log.f64 (*.f64 y (/.f64 z t))))
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(exp.f64 (*.f64 (log.f64 (*.f64 y (/.f64 z t))) 1))
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(log1p.f64 (expm1.f64 (*.f64 y (/.f64 z t))))
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))

localize12.0ms (0.1%)

Local Accuracy

Found 2 expressions with local accuracy:

NewAccuracyProgram
100.0%
(-.f64 x (/.f64 (/.f64 z t) (/.f64 1 y)))
94.6%
(/.f64 (/.f64 z t) (/.f64 1 y))
Compiler

Compiled 31 to 15 computations (51.6% saved)

series2.0ms (0%)

Counts
2 → 84
Calls

21 calls:

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

rewrite114.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
964×associate-/r/
814×swap-sqr
784×associate-/l/
542×distribute-lft-neg-in
496×distribute-rgt-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01144
124332
2355032
Stop Event
node limit
Counts
2 → 146
Calls
Call 1
Inputs
(/.f64 (/.f64 z t) (/.f64 1 y))
(-.f64 x (/.f64 (/.f64 z t) (/.f64 1 y)))
Outputs
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simplify119.0ms (0.7%)

Algorithm
egg-herbie
Rules
1672×associate-/r/
1006×associate-+l+
918×associate-+r+
612×+-commutative
588×fma-def
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
03827188
110946546
253786546
Stop Event
node limit
Counts
230 → 200
Calls
Call 1
Inputs
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
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(*.f64 -1 (/.f64 (*.f64 y z) t))
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(+.f64 (-.f64 x (exp.f64 (log1p.f64 (/.f64 z (/.f64 t y))))) 1)
(*.f64 1 (-.f64 x (/.f64 z (/.f64 t y))))
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Outputs
(/.f64 (*.f64 y z) t)
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(/.f64 (*.f64 y z) t)
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(/.f64 (*.f64 y z) t)
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(/.f64 (*.f64 y z) t)
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(/.f64 (*.f64 y z) t)
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(*.f64 (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 z (/.f64 t y)) 3)) (-.f64 (*.f64 (pow.f64 x 3) x) (*.f64 (pow.f64 (/.f64 z (/.f64 t y)) 2) (*.f64 (+.f64 (/.f64 z (/.f64 t y)) x) (+.f64 (/.f64 z (/.f64 t y)) x))))) (-.f64 (*.f64 x x) (*.f64 (/.f64 z (/.f64 t y)) (+.f64 (/.f64 z (/.f64 t y)) x))))
(*.f64 (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 z (/.f64 y t)) 3)) (-.f64 (pow.f64 x 4) (*.f64 (pow.f64 (*.f64 z (/.f64 y t)) 2) (*.f64 (+.f64 x (*.f64 z (/.f64 y t))) (+.f64 x (*.f64 z (/.f64 y t))))))) (-.f64 (*.f64 x x) (*.f64 (*.f64 z (/.f64 y t)) (+.f64 x (*.f64 z (/.f64 y t))))))
(*.f64 (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 z (/.f64 y t)) 3)) (-.f64 (pow.f64 x 4) (*.f64 (pow.f64 (*.f64 z (/.f64 y t)) 2) (*.f64 (fma.f64 y (/.f64 z t) x) (fma.f64 y (/.f64 z t) x))))) (-.f64 (*.f64 x x) (*.f64 (*.f64 z (/.f64 y t)) (fma.f64 y (/.f64 z t) x))))
(*.f64 (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 z (/.f64 t y)) 3)) (+.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (*.f64 (/.f64 z (/.f64 t y)) (+.f64 (/.f64 z (/.f64 t y)) x)) 3))) (+.f64 (*.f64 (pow.f64 x 3) x) (*.f64 (*.f64 (/.f64 z (/.f64 t y)) (+.f64 (/.f64 z (/.f64 t y)) x)) (-.f64 (*.f64 (/.f64 z (/.f64 t y)) (+.f64 (/.f64 z (/.f64 t y)) x)) (*.f64 x x)))))
(*.f64 (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 z (/.f64 y t)) 3)) (+.f64 (pow.f64 (*.f64 (*.f64 z (/.f64 y t)) (+.f64 x (*.f64 z (/.f64 y t)))) 3) (pow.f64 x 6))) (+.f64 (pow.f64 x 4) (*.f64 (*.f64 z (/.f64 y t)) (*.f64 (+.f64 x (*.f64 z (/.f64 y t))) (-.f64 (*.f64 (*.f64 z (/.f64 y t)) (+.f64 x (*.f64 z (/.f64 y t)))) (*.f64 x x))))))
(/.f64 (*.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 z (/.f64 y t)) 3)) (fma.f64 (*.f64 (*.f64 z (/.f64 y t)) (fma.f64 y (/.f64 z t) x)) (-.f64 (*.f64 (*.f64 z (/.f64 y t)) (fma.f64 y (/.f64 z t) x)) (*.f64 x x)) (pow.f64 x 4))) (+.f64 (pow.f64 (*.f64 (*.f64 z (/.f64 y t)) (fma.f64 y (/.f64 z t) x)) 3) (pow.f64 x 6)))
(/.f64 1 (/.f64 (+.f64 (/.f64 z (/.f64 t y)) x) (-.f64 (*.f64 x x) (pow.f64 (/.f64 z (/.f64 t y)) 2))))
(*.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 z (/.f64 y t)) 2)) (/.f64 1 (+.f64 x (*.f64 z (/.f64 y t)))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 z (/.f64 y t)) 2)) (fma.f64 y (/.f64 z t) x))
(/.f64 1 (/.f64 (fma.f64 x x (*.f64 (/.f64 z (/.f64 t y)) (+.f64 (/.f64 z (/.f64 t y)) x))) (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 z (/.f64 t y)) 3))))
(*.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 z (/.f64 y t)) 3)) (/.f64 1 (fma.f64 x x (*.f64 (*.f64 z (/.f64 y t)) (+.f64 x (*.f64 z (/.f64 y t)))))))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 z (/.f64 y t)) 3)) (fma.f64 x x (*.f64 (*.f64 z (/.f64 y t)) (fma.f64 y (/.f64 z t) x))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 z (/.f64 t y)) 2)) (+.f64 (/.f64 z (/.f64 t y)) x))
(*.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 z (/.f64 y t)) 2)) (/.f64 1 (+.f64 x (*.f64 z (/.f64 y t)))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 z (/.f64 y t)) 2)) (fma.f64 y (/.f64 z t) x))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 z (/.f64 t y)) 3)) (fma.f64 x x (*.f64 (/.f64 z (/.f64 t y)) (+.f64 (/.f64 z (/.f64 t y)) x))))
(*.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 z (/.f64 y t)) 3)) (/.f64 1 (fma.f64 x x (*.f64 (*.f64 z (/.f64 y t)) (+.f64 x (*.f64 z (/.f64 y t)))))))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 z (/.f64 y t)) 3)) (fma.f64 x x (*.f64 (*.f64 z (/.f64 y t)) (fma.f64 y (/.f64 z t) x))))
(/.f64 (-.f64 (*.f64 (pow.f64 x 3) (pow.f64 x 3)) (*.f64 (pow.f64 (/.f64 z (/.f64 t y)) 3) (pow.f64 (/.f64 z (/.f64 t y)) 3))) (*.f64 (fma.f64 x x (*.f64 (/.f64 z (/.f64 t y)) (+.f64 (/.f64 z (/.f64 t y)) x))) (+.f64 (pow.f64 x 3) (pow.f64 (/.f64 z (/.f64 t y)) 3))))
(/.f64 (-.f64 (pow.f64 x 6) (pow.f64 (*.f64 z (/.f64 y t)) 6)) (*.f64 (fma.f64 x x (*.f64 (*.f64 z (/.f64 y t)) (+.f64 x (*.f64 z (/.f64 y t))))) (+.f64 (pow.f64 (*.f64 z (/.f64 y t)) 3) (pow.f64 x 3))))
(/.f64 (-.f64 (pow.f64 x 6) (pow.f64 (*.f64 z (/.f64 y t)) 6)) (*.f64 (fma.f64 x x (*.f64 (*.f64 z (/.f64 y t)) (fma.f64 y (/.f64 z t) x))) (+.f64 (pow.f64 (*.f64 z (/.f64 y t)) 3) (pow.f64 x 3))))
(/.f64 (-.f64 (*.f64 (pow.f64 x 3) x) (*.f64 (pow.f64 (/.f64 z (/.f64 t y)) 3) (/.f64 z (/.f64 t y)))) (*.f64 (+.f64 (/.f64 z (/.f64 t y)) x) (+.f64 (pow.f64 (/.f64 z (/.f64 t y)) 2) (*.f64 x x))))
(/.f64 (-.f64 (pow.f64 x 4) (pow.f64 (*.f64 z (/.f64 y t)) 4)) (*.f64 (+.f64 x (*.f64 z (/.f64 y t))) (+.f64 (pow.f64 (*.f64 z (/.f64 y t)) 2) (*.f64 x x))))
(/.f64 (-.f64 (pow.f64 x 4) (pow.f64 (*.f64 z (/.f64 y t)) 4)) (*.f64 (fma.f64 y (/.f64 z t) x) (fma.f64 x x (pow.f64 (*.f64 z (/.f64 y t)) 2))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (/.f64 (neg.f64 z) (/.f64 t y)) 3)) (+.f64 (*.f64 x x) (*.f64 (/.f64 (neg.f64 z) (/.f64 t y)) (-.f64 (/.f64 (neg.f64 z) (/.f64 t y)) x))))
(*.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 z (/.f64 y t)) 3)) (/.f64 1 (fma.f64 x x (*.f64 (*.f64 z (/.f64 y t)) (+.f64 x (*.f64 z (/.f64 y t)))))))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 z (/.f64 y t)) 3)) (fma.f64 x x (*.f64 (*.f64 z (/.f64 y t)) (fma.f64 y (/.f64 z t) x))))
(/.f64 (-.f64 (pow.f64 (pow.f64 x 3) 3) (pow.f64 (pow.f64 (/.f64 z (/.f64 t y)) 3) 3)) (*.f64 (fma.f64 x x (*.f64 (/.f64 z (/.f64 t y)) (+.f64 (/.f64 z (/.f64 t y)) x))) (+.f64 (*.f64 (pow.f64 x 3) (pow.f64 x 3)) (*.f64 (pow.f64 (/.f64 z (/.f64 t y)) 3) (+.f64 (pow.f64 x 3) (pow.f64 (/.f64 z (/.f64 t y)) 3))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (pow.f64 x 3) 3) (pow.f64 (pow.f64 (*.f64 z (/.f64 y t)) 3) 3)) (fma.f64 x x (*.f64 (*.f64 z (/.f64 y t)) (+.f64 x (*.f64 z (/.f64 y t)))))) (+.f64 (pow.f64 x 6) (+.f64 (*.f64 (pow.f64 (*.f64 z (/.f64 y t)) 3) (pow.f64 x 3)) (pow.f64 (*.f64 z (/.f64 y t)) 6))))
(/.f64 (-.f64 (pow.f64 (pow.f64 x 3) 3) (pow.f64 (pow.f64 (*.f64 z (/.f64 y t)) 3) 3)) (*.f64 (fma.f64 x x (*.f64 (*.f64 z (/.f64 y t)) (fma.f64 y (/.f64 z t) x))) (fma.f64 (pow.f64 (*.f64 z (/.f64 y t)) 3) (+.f64 (pow.f64 (*.f64 z (/.f64 y t)) 3) (pow.f64 x 3)) (pow.f64 x 6))))
(/.f64 (-.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (pow.f64 (/.f64 z (/.f64 t y)) 2) 3)) (*.f64 (+.f64 (/.f64 z (/.f64 t y)) x) (+.f64 (*.f64 (pow.f64 x 3) x) (*.f64 (pow.f64 (/.f64 z (/.f64 t y)) 2) (+.f64 (pow.f64 (/.f64 z (/.f64 t y)) 2) (*.f64 x x))))))
(/.f64 (/.f64 (-.f64 (pow.f64 x 6) (pow.f64 (pow.f64 (*.f64 z (/.f64 y t)) 2) 3)) (+.f64 x (*.f64 z (/.f64 y t)))) (+.f64 (pow.f64 x 4) (*.f64 (pow.f64 (*.f64 z (/.f64 y t)) 2) (+.f64 (pow.f64 (*.f64 z (/.f64 y t)) 2) (*.f64 x x)))))
(/.f64 (/.f64 (-.f64 (pow.f64 x 6) (pow.f64 (*.f64 z (/.f64 y t)) 6)) (fma.f64 y (/.f64 z t) x)) (fma.f64 (pow.f64 (*.f64 z (/.f64 y t)) 2) (fma.f64 x x (pow.f64 (*.f64 z (/.f64 y t)) 2)) (pow.f64 x 4)))
(/.f64 (+.f64 (neg.f64 (*.f64 x x)) (pow.f64 (/.f64 z (/.f64 t y)) 2)) (neg.f64 (+.f64 (/.f64 z (/.f64 t y)) x)))
(/.f64 (+.f64 (pow.f64 (*.f64 z (/.f64 y t)) 2) (*.f64 x (neg.f64 x))) (-.f64 (*.f64 (/.f64 (neg.f64 z) t) y) x))
(/.f64 (-.f64 (pow.f64 (*.f64 z (/.f64 y t)) 2) (*.f64 x x)) (neg.f64 (fma.f64 y (/.f64 z t) x)))
(/.f64 (+.f64 (neg.f64 (pow.f64 x 3)) (pow.f64 (/.f64 z (/.f64 t y)) 3)) (neg.f64 (fma.f64 x x (*.f64 (/.f64 z (/.f64 t y)) (+.f64 (/.f64 z (/.f64 t y)) x)))))
(/.f64 (+.f64 (pow.f64 (*.f64 z (/.f64 y t)) 3) (neg.f64 (pow.f64 x 3))) (neg.f64 (fma.f64 x x (*.f64 (*.f64 z (/.f64 y t)) (+.f64 x (*.f64 z (/.f64 y t)))))))
(/.f64 (-.f64 (pow.f64 (*.f64 z (/.f64 y t)) 3) (pow.f64 x 3)) (neg.f64 (fma.f64 x x (*.f64 (*.f64 z (/.f64 y t)) (fma.f64 y (/.f64 z t) x)))))
(pow.f64 (-.f64 x (/.f64 z (/.f64 t y))) 1)
(-.f64 x (*.f64 z (/.f64 y t)))
(pow.f64 (sqrt.f64 (-.f64 x (/.f64 z (/.f64 t y)))) 2)
(-.f64 x (*.f64 z (/.f64 y t)))
(pow.f64 (cbrt.f64 (-.f64 x (/.f64 z (/.f64 t y)))) 3)
(-.f64 x (*.f64 z (/.f64 y t)))
(pow.f64 (pow.f64 (-.f64 x (/.f64 z (/.f64 t y))) 3) 1/3)
(-.f64 x (*.f64 z (/.f64 y t)))
(neg.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 z (/.f64 t y)) 2)) (neg.f64 (+.f64 (/.f64 z (/.f64 t y)) x))))
(/.f64 (+.f64 (pow.f64 (*.f64 z (/.f64 y t)) 2) (*.f64 x (neg.f64 x))) (-.f64 (*.f64 (/.f64 (neg.f64 z) t) y) x))
(/.f64 (-.f64 (pow.f64 (*.f64 z (/.f64 y t)) 2) (*.f64 x x)) (neg.f64 (fma.f64 y (/.f64 z t) x)))
(neg.f64 (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 z (/.f64 t y)) 3)) (neg.f64 (fma.f64 x x (*.f64 (/.f64 z (/.f64 t y)) (+.f64 (/.f64 z (/.f64 t y)) x))))))
(/.f64 (+.f64 (pow.f64 (*.f64 z (/.f64 y t)) 3) (neg.f64 (pow.f64 x 3))) (neg.f64 (fma.f64 x x (*.f64 (*.f64 z (/.f64 y t)) (+.f64 x (*.f64 z (/.f64 y t)))))))
(/.f64 (-.f64 (pow.f64 (*.f64 z (/.f64 y t)) 3) (pow.f64 x 3)) (neg.f64 (fma.f64 x x (*.f64 (*.f64 z (/.f64 y t)) (fma.f64 y (/.f64 z t) x)))))
(sqrt.f64 (pow.f64 (-.f64 x (/.f64 z (/.f64 t y))) 2))
(sqrt.f64 (pow.f64 (-.f64 x (*.f64 z (/.f64 y t))) 2))
(fabs.f64 (-.f64 x (*.f64 z (/.f64 y t))))
(log.f64 (exp.f64 (-.f64 x (/.f64 z (/.f64 t y)))))
(-.f64 x (*.f64 z (/.f64 y t)))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 x (/.f64 z (/.f64 t y))))))
(-.f64 x (*.f64 z (/.f64 y t)))
(cbrt.f64 (pow.f64 (-.f64 x (/.f64 z (/.f64 t y))) 3))
(-.f64 x (*.f64 z (/.f64 y t)))
(expm1.f64 (log1p.f64 (-.f64 x (/.f64 z (/.f64 t y)))))
(-.f64 x (*.f64 z (/.f64 y t)))
(exp.f64 (log.f64 (-.f64 x (/.f64 z (/.f64 t y)))))
(-.f64 x (*.f64 z (/.f64 y t)))
(exp.f64 (*.f64 (log.f64 (-.f64 x (/.f64 z (/.f64 t y)))) 1))
(-.f64 x (*.f64 z (/.f64 y t)))
(log1p.f64 (expm1.f64 (-.f64 x (/.f64 z (/.f64 t y)))))
(-.f64 x (*.f64 z (/.f64 y t)))
(fma.f64 1 x (/.f64 (neg.f64 z) (/.f64 t y)))
(-.f64 x (*.f64 z (/.f64 y t)))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (/.f64 (neg.f64 z) (/.f64 t y)))
(-.f64 x (*.f64 z (/.f64 y t)))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (/.f64 (neg.f64 z) (/.f64 t y)))
(-.f64 x (*.f64 z (/.f64 y t)))

localize9.0ms (0%)

Local Accuracy

Found 2 expressions with local accuracy:

NewAccuracyProgram
94.3%
(log1p.f64 (*.f64 y z))
91.6%
(/.f64 (neg.f64 (log1p.f64 (*.f64 y z))) t)
Compiler

Compiled 26 to 8 computations (69.2% saved)

series26.0ms (0.1%)

Counts
2 → 60
Calls

15 calls:

TimeVariablePointExpression
14.0ms
t
@0
(/.f64 (neg.f64 (log1p.f64 (*.f64 y z))) t)
4.0ms
t
@inf
(/.f64 (neg.f64 (log1p.f64 (*.f64 y z))) t)
2.0ms
y
@0
(/.f64 (neg.f64 (log1p.f64 (*.f64 y z))) t)
1.0ms
y
@inf
(/.f64 (neg.f64 (log1p.f64 (*.f64 y z))) t)
1.0ms
z
@-inf
(/.f64 (neg.f64 (log1p.f64 (*.f64 y z))) t)

rewrite84.0ms (0.5%)

Algorithm
batch-egg-rewrite
Rules
1838×add-sqr-sqrt
1826×*-un-lft-identity
1690×add-cube-cbrt
1664×add-cbrt-cube
206×pow1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01032
120528
2270828
Stop Event
node limit
Counts
2 → 66
Calls
Call 1
Inputs
(/.f64 (neg.f64 (log1p.f64 (*.f64 y z))) t)
(log1p.f64 (*.f64 y z))
Outputs
(((-.f64 0 (/.f64 (log1p.f64 (*.f64 y z)) t)) (2)) ((-.f64 (exp.f64 (log1p.f64 (/.f64 (log1p.f64 (*.f64 y z)) t))) 1) (2)) ((-.f64 (/.f64 0 t) (/.f64 (log1p.f64 (*.f64 y z)) t)) (2)) ((*.f64 (log1p.f64 (*.f64 y z)) (/.f64 1 t)) (2)) ((*.f64 (log1p.f64 (*.f64 y z)) (/.f64 1 (neg.f64 t))) (2)) ((*.f64 (/.f64 (log1p.f64 (*.f64 y z)) t) 1) (2)) ((*.f64 1 (/.f64 (log1p.f64 (*.f64 y z)) t)) (2)) ((*.f64 (sqrt.f64 (log1p.f64 (*.f64 y z))) (*.f64 (sqrt.f64 (log1p.f64 (*.f64 y z))) (/.f64 1 t))) (2)) ((*.f64 (sqrt.f64 (/.f64 (log1p.f64 (*.f64 y z)) t)) (sqrt.f64 (/.f64 (log1p.f64 (*.f64 y z)) t))) (2)) ((*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y z))) 2) (*.f64 (cbrt.f64 (log1p.f64 (*.f64 y z))) (/.f64 1 t))) (2)) ((*.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y z)) t)) (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y z)) t)) 2)) (2)) ((*.f64 (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y z)) t)) 2) (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y z)) t))) (2)) ((*.f64 -1 (/.f64 (log1p.f64 (*.f64 y z)) t)) (2)) ((*.f64 (/.f64 1 t) (log1p.f64 (*.f64 y z))) (2)) ((*.f64 (/.f64 1 (sqrt.f64 t)) (/.f64 (log1p.f64 (*.f64 y z)) (sqrt.f64 t))) (2)) ((*.f64 (/.f64 1 (pow.f64 (cbrt.f64 t) 2)) (/.f64 (log1p.f64 (*.f64 y z)) (cbrt.f64 t))) (2)) ((*.f64 (/.f64 (sqrt.f64 (log1p.f64 (*.f64 y z))) 1) (/.f64 (sqrt.f64 (log1p.f64 (*.f64 y z))) t)) (2)) ((*.f64 (/.f64 (sqrt.f64 (log1p.f64 (*.f64 y z))) (pow.f64 (cbrt.f64 t) 2)) (/.f64 (sqrt.f64 (log1p.f64 (*.f64 y z))) (cbrt.f64 t))) (2)) ((*.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y z))) 2) 1) (/.f64 (cbrt.f64 (log1p.f64 (*.f64 y z))) t)) (2)) ((*.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y z))) 2) (sqrt.f64 t)) (/.f64 (cbrt.f64 (log1p.f64 (*.f64 y z))) (sqrt.f64 t))) (2)) ((*.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y z))) 2) (pow.f64 (cbrt.f64 t) 2)) (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y z)) t))) (2)) ((*.f64 (/.f64 -1 (sqrt.f64 t)) (/.f64 (log1p.f64 (*.f64 y z)) (sqrt.f64 t))) (2)) ((*.f64 (/.f64 -1 (pow.f64 (cbrt.f64 t) 2)) (/.f64 (log1p.f64 (*.f64 y z)) (cbrt.f64 t))) (2)) ((pow.f64 (/.f64 (log1p.f64 (*.f64 y z)) t) 1) (2)) ((pow.f64 (sqrt.f64 (/.f64 (log1p.f64 (*.f64 y z)) t)) 2) (2)) ((pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y z)) t)) 3) (2)) ((pow.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 y z)) t) 3) 1/3) (2)) ((pow.f64 (/.f64 t (log1p.f64 (*.f64 y z))) -1) (2)) ((neg.f64 (/.f64 (log1p.f64 (*.f64 y z)) t)) (2)) ((sqrt.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 y z)) t) 2)) (2)) ((log.f64 (exp.f64 (/.f64 (log1p.f64 (*.f64 y z)) t))) (2)) ((log.f64 (+.f64 1 (expm1.f64 (/.f64 (log1p.f64 (*.f64 y z)) t)))) (2)) ((cbrt.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 y z)) t) 3)) (2)) ((expm1.f64 (log1p.f64 (/.f64 (log1p.f64 (*.f64 y z)) t))) (2)) ((exp.f64 (log.f64 (/.f64 (log1p.f64 (*.f64 y z)) t))) (2)) ((exp.f64 (*.f64 (log.f64 (/.f64 (log1p.f64 (*.f64 y z)) t)) 1)) (2)) ((log1p.f64 (expm1.f64 (/.f64 (log1p.f64 (*.f64 y z)) t))) (2)))
(((+.f64 0 (log1p.f64 (*.f64 y z))) (2)) ((-.f64 0 (log1p.f64 (*.f64 y z))) (2)) ((-.f64 (exp.f64 (log1p.f64 (log1p.f64 (*.f64 y z)))) 1) (2)) ((*.f64 (log1p.f64 (*.f64 y z)) 1) (2)) ((*.f64 (log1p.f64 (*.f64 y z)) -1) (2)) ((*.f64 1 (log1p.f64 (*.f64 y z))) (2)) ((*.f64 (sqrt.f64 (log1p.f64 (*.f64 y z))) (sqrt.f64 (log1p.f64 (*.f64 y z)))) (2)) ((*.f64 (sqrt.f64 (log1p.f64 (*.f64 y z))) (neg.f64 (sqrt.f64 (log1p.f64 (*.f64 y z))))) (2)) ((*.f64 (cbrt.f64 (log1p.f64 (*.f64 y z))) (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y z))) 2)) (2)) ((*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y z))) 2) (cbrt.f64 (log1p.f64 (*.f64 y z)))) (2)) ((*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y z))) 2) (neg.f64 (cbrt.f64 (log1p.f64 (*.f64 y z))))) (2)) ((*.f64 -1 (log1p.f64 (*.f64 y z))) (2)) ((*.f64 (*.f64 -1 (sqrt.f64 (log1p.f64 (*.f64 y z)))) (sqrt.f64 (log1p.f64 (*.f64 y z)))) (2)) ((*.f64 (*.f64 -1 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y z))) 2)) (cbrt.f64 (log1p.f64 (*.f64 y z)))) (2)) ((*.f64 (neg.f64 (sqrt.f64 (log1p.f64 (*.f64 y z)))) (sqrt.f64 (log1p.f64 (*.f64 y z)))) (2)) ((*.f64 (neg.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y z))) 2)) (cbrt.f64 (log1p.f64 (*.f64 y z)))) (2)) ((/.f64 (-.f64 0 (pow.f64 (log1p.f64 (*.f64 y z)) 2)) (log1p.f64 (*.f64 y z))) (2)) ((/.f64 (-.f64 0 (pow.f64 (log1p.f64 (*.f64 y z)) 3)) (+.f64 0 (+.f64 (pow.f64 (log1p.f64 (*.f64 y z)) 2) (*.f64 0 (log1p.f64 (*.f64 y z)))))) (2)) ((pow.f64 (log1p.f64 (*.f64 y z)) 1) (2)) ((pow.f64 (sqrt.f64 (log1p.f64 (*.f64 y z))) 2) (2)) ((pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y z))) 3) (2)) ((pow.f64 (pow.f64 (log1p.f64 (*.f64 y z)) 3) 1/3) (2)) ((neg.f64 (log1p.f64 (*.f64 y z))) (2)) ((sqrt.f64 (pow.f64 (log1p.f64 (*.f64 y z)) 2)) (2)) ((log.f64 (+.f64 (*.f64 y z) 1)) (2)) ((cbrt.f64 (pow.f64 (log1p.f64 (*.f64 y z)) 3)) (2)) ((expm1.f64 (log1p.f64 (log1p.f64 (*.f64 y z)))) (2)) ((exp.f64 (log.f64 (log1p.f64 (*.f64 y z)))) (2)) ((exp.f64 (*.f64 (log.f64 (log1p.f64 (*.f64 y z))) 1)) (2)))

simplify113.0ms (0.6%)

Algorithm
egg-herbie
Rules
1454×associate-*r/
1432×associate-/r*
928×*-commutative
828×associate-+l+
732×associate-*l/
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02624712
17094426
232944426
Stop Event
node limit
Counts
126 → 209
Calls
Call 1
Inputs
(*.f64 -1 (/.f64 (*.f64 y z) t))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) (*.f64 1/2 (/.f64 (*.f64 (pow.f64 y 2) (pow.f64 z 2)) t)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) (+.f64 (*.f64 -1/3 (/.f64 (*.f64 (pow.f64 y 3) (pow.f64 z 3)) 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 1/4 (/.f64 (*.f64 (pow.f64 y 4) (pow.f64 z 4)) t)) (+.f64 (*.f64 -1/3 (/.f64 (*.f64 (pow.f64 y 3) (pow.f64 z 3)) t)) (*.f64 1/2 (/.f64 (*.f64 (pow.f64 y 2) (pow.f64 z 2)) t)))))
(*.f64 -1 (/.f64 (+.f64 (log.f64 z) (*.f64 -1 (log.f64 (/.f64 1 y)))) t))
(-.f64 (*.f64 -1 (/.f64 (+.f64 (log.f64 z) (*.f64 -1 (log.f64 (/.f64 1 y)))) t)) (/.f64 1 (*.f64 y (*.f64 t z))))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 y 2) (*.f64 t (pow.f64 z 2))))) (*.f64 -1 (/.f64 (+.f64 (log.f64 z) (*.f64 -1 (log.f64 (/.f64 1 y)))) t))) (/.f64 1 (*.f64 y (*.f64 t z))))
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(*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (*.f64 -1 z))) t))
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(*.f64 -1 (/.f64 (*.f64 y z) t))
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(*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 z))) (log.f64 y)) t))
(-.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 z))) (log.f64 y)) t)) (/.f64 1 (*.f64 y (*.f64 t z))))
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(*.f64 y z)
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(*.f64 y z)
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(-.f64 0 (/.f64 (log1p.f64 (*.f64 y z)) t))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (log1p.f64 (*.f64 y z)) t))) 1)
(-.f64 (/.f64 0 t) (/.f64 (log1p.f64 (*.f64 y z)) t))
(*.f64 (log1p.f64 (*.f64 y z)) (/.f64 1 t))
(*.f64 (log1p.f64 (*.f64 y z)) (/.f64 1 (neg.f64 t)))
(*.f64 (/.f64 (log1p.f64 (*.f64 y z)) t) 1)
(*.f64 1 (/.f64 (log1p.f64 (*.f64 y z)) t))
(*.f64 (sqrt.f64 (log1p.f64 (*.f64 y z))) (*.f64 (sqrt.f64 (log1p.f64 (*.f64 y z))) (/.f64 1 t)))
(*.f64 (sqrt.f64 (/.f64 (log1p.f64 (*.f64 y z)) t)) (sqrt.f64 (/.f64 (log1p.f64 (*.f64 y z)) t)))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y z))) 2) (*.f64 (cbrt.f64 (log1p.f64 (*.f64 y z))) (/.f64 1 t)))
(*.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y z)) t)) (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y z)) t)) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y z)) t)) 2) (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y z)) t)))
(*.f64 -1 (/.f64 (log1p.f64 (*.f64 y z)) t))
(*.f64 (/.f64 1 t) (log1p.f64 (*.f64 y z)))
(*.f64 (/.f64 1 (sqrt.f64 t)) (/.f64 (log1p.f64 (*.f64 y z)) (sqrt.f64 t)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 t) 2)) (/.f64 (log1p.f64 (*.f64 y z)) (cbrt.f64 t)))
(*.f64 (/.f64 (sqrt.f64 (log1p.f64 (*.f64 y z))) 1) (/.f64 (sqrt.f64 (log1p.f64 (*.f64 y z))) t))
(*.f64 (/.f64 (sqrt.f64 (log1p.f64 (*.f64 y z))) (pow.f64 (cbrt.f64 t) 2)) (/.f64 (sqrt.f64 (log1p.f64 (*.f64 y z))) (cbrt.f64 t)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y z))) 2) 1) (/.f64 (cbrt.f64 (log1p.f64 (*.f64 y z))) t))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y z))) 2) (sqrt.f64 t)) (/.f64 (cbrt.f64 (log1p.f64 (*.f64 y z))) (sqrt.f64 t)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y z))) 2) (pow.f64 (cbrt.f64 t) 2)) (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y z)) t)))
(*.f64 (/.f64 -1 (sqrt.f64 t)) (/.f64 (log1p.f64 (*.f64 y z)) (sqrt.f64 t)))
(*.f64 (/.f64 -1 (pow.f64 (cbrt.f64 t) 2)) (/.f64 (log1p.f64 (*.f64 y z)) (cbrt.f64 t)))
(pow.f64 (/.f64 (log1p.f64 (*.f64 y z)) t) 1)
(pow.f64 (sqrt.f64 (/.f64 (log1p.f64 (*.f64 y z)) t)) 2)
(pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y z)) t)) 3)
(pow.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 y z)) t) 3) 1/3)
(pow.f64 (/.f64 t (log1p.f64 (*.f64 y z))) -1)
(neg.f64 (/.f64 (log1p.f64 (*.f64 y z)) t))
(sqrt.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 y z)) t) 2))
(log.f64 (exp.f64 (/.f64 (log1p.f64 (*.f64 y z)) t)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (log1p.f64 (*.f64 y z)) t))))
(cbrt.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 y z)) t) 3))
(expm1.f64 (log1p.f64 (/.f64 (log1p.f64 (*.f64 y z)) t)))
(exp.f64 (log.f64 (/.f64 (log1p.f64 (*.f64 y z)) t)))
(exp.f64 (*.f64 (log.f64 (/.f64 (log1p.f64 (*.f64 y z)) t)) 1))
(log1p.f64 (expm1.f64 (/.f64 (log1p.f64 (*.f64 y z)) t)))
(+.f64 0 (log1p.f64 (*.f64 y z)))
(-.f64 0 (log1p.f64 (*.f64 y z)))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (*.f64 y z)))) 1)
(*.f64 (log1p.f64 (*.f64 y z)) 1)
(*.f64 (log1p.f64 (*.f64 y z)) -1)
(*.f64 1 (log1p.f64 (*.f64 y z)))
(*.f64 (sqrt.f64 (log1p.f64 (*.f64 y z))) (sqrt.f64 (log1p.f64 (*.f64 y z))))
(*.f64 (sqrt.f64 (log1p.f64 (*.f64 y z))) (neg.f64 (sqrt.f64 (log1p.f64 (*.f64 y z)))))
(*.f64 (cbrt.f64 (log1p.f64 (*.f64 y z))) (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y z))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y z))) 2) (cbrt.f64 (log1p.f64 (*.f64 y z))))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y z))) 2) (neg.f64 (cbrt.f64 (log1p.f64 (*.f64 y z)))))
(*.f64 -1 (log1p.f64 (*.f64 y z)))
(*.f64 (*.f64 -1 (sqrt.f64 (log1p.f64 (*.f64 y z)))) (sqrt.f64 (log1p.f64 (*.f64 y z))))
(*.f64 (*.f64 -1 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y z))) 2)) (cbrt.f64 (log1p.f64 (*.f64 y z))))
(*.f64 (neg.f64 (sqrt.f64 (log1p.f64 (*.f64 y z)))) (sqrt.f64 (log1p.f64 (*.f64 y z))))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y z))) 2)) (cbrt.f64 (log1p.f64 (*.f64 y z))))
(/.f64 (-.f64 0 (pow.f64 (log1p.f64 (*.f64 y z)) 2)) (log1p.f64 (*.f64 y z)))
(/.f64 (-.f64 0 (pow.f64 (log1p.f64 (*.f64 y z)) 3)) (+.f64 0 (+.f64 (pow.f64 (log1p.f64 (*.f64 y z)) 2) (*.f64 0 (log1p.f64 (*.f64 y z))))))
(pow.f64 (log1p.f64 (*.f64 y z)) 1)
(pow.f64 (sqrt.f64 (log1p.f64 (*.f64 y z))) 2)
(pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y z))) 3)
(pow.f64 (pow.f64 (log1p.f64 (*.f64 y z)) 3) 1/3)
(neg.f64 (log1p.f64 (*.f64 y z)))
(sqrt.f64 (pow.f64 (log1p.f64 (*.f64 y z)) 2))
(log.f64 (+.f64 (*.f64 y z) 1))
(cbrt.f64 (pow.f64 (log1p.f64 (*.f64 y z)) 3))
(expm1.f64 (log1p.f64 (log1p.f64 (*.f64 y z))))
(exp.f64 (log.f64 (log1p.f64 (*.f64 y z))))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (*.f64 y z))) 1))
Outputs
(*.f64 -1 (/.f64 (*.f64 y z) t))
(neg.f64 (/.f64 y (/.f64 t z)))
(/.f64 (*.f64 (neg.f64 z) y) t)
(*.f64 (/.f64 (neg.f64 y) t) z)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) (*.f64 1/2 (/.f64 (*.f64 (pow.f64 y 2) (pow.f64 z 2)) t)))
(fma.f64 -1 (/.f64 y (/.f64 t z)) (*.f64 1/2 (/.f64 (*.f64 y y) (/.f64 t (*.f64 z z)))))
(-.f64 (*.f64 1/2 (*.f64 (/.f64 (*.f64 y y) t) (*.f64 z z))) (*.f64 (/.f64 y t) z))
(-.f64 (*.f64 (/.f64 1/2 t) (*.f64 (*.f64 y z) (*.f64 y z))) (*.f64 z (/.f64 y t)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) (+.f64 (*.f64 -1/3 (/.f64 (*.f64 (pow.f64 y 3) (pow.f64 z 3)) t)) (*.f64 1/2 (/.f64 (*.f64 (pow.f64 y 2) (pow.f64 z 2)) t))))
(fma.f64 -1 (/.f64 y (/.f64 t z)) (fma.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 (fma.f64 1/2 (*.f64 (/.f64 (*.f64 y y) t) (*.f64 z z)) (*.f64 -1/3 (*.f64 (/.f64 (pow.f64 y 3) t) (pow.f64 z 3)))) (*.f64 (/.f64 y t) z))
(-.f64 (fma.f64 1/2 (*.f64 (*.f64 z z) (/.f64 (*.f64 y y) t)) (*.f64 (/.f64 -1/3 t) (*.f64 (pow.f64 y 3) (pow.f64 z 3)))) (*.f64 z (/.f64 y t)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) (+.f64 (*.f64 1/4 (/.f64 (*.f64 (pow.f64 y 4) (pow.f64 z 4)) t)) (+.f64 (*.f64 -1/3 (/.f64 (*.f64 (pow.f64 y 3) (pow.f64 z 3)) t)) (*.f64 1/2 (/.f64 (*.f64 (pow.f64 y 2) (pow.f64 z 2)) t)))))
(fma.f64 -1 (/.f64 y (/.f64 t z)) (fma.f64 1/4 (/.f64 (pow.f64 y 4) (/.f64 t (pow.f64 z 4))) (fma.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 (fma.f64 1/4 (*.f64 (/.f64 (pow.f64 y 4) t) (pow.f64 z 4)) (fma.f64 1/2 (*.f64 (/.f64 (*.f64 y y) t) (*.f64 z z)) (*.f64 -1/3 (*.f64 (/.f64 (pow.f64 y 3) t) (pow.f64 z 3))))) (*.f64 (/.f64 y t) z))
(-.f64 (fma.f64 1/4 (*.f64 (pow.f64 z 4) (/.f64 (pow.f64 y 4) t)) (fma.f64 1/2 (*.f64 (*.f64 z z) (/.f64 (*.f64 y y) t)) (*.f64 (/.f64 -1/3 t) (*.f64 (pow.f64 y 3) (pow.f64 z 3))))) (*.f64 z (/.f64 y t)))
(*.f64 -1 (/.f64 (+.f64 (log.f64 z) (*.f64 -1 (log.f64 (/.f64 1 y)))) t))
(neg.f64 (/.f64 (+.f64 (log.f64 z) (neg.f64 (neg.f64 (log.f64 y)))) t))
(/.f64 (neg.f64 (+.f64 (log.f64 z) (log.f64 y))) t)
(/.f64 (-.f64 (neg.f64 (log.f64 z)) (log.f64 y)) t)
(-.f64 (*.f64 -1 (/.f64 (+.f64 (log.f64 z) (*.f64 -1 (log.f64 (/.f64 1 y)))) t)) (/.f64 1 (*.f64 y (*.f64 t z))))
(-.f64 (neg.f64 (/.f64 (+.f64 (log.f64 z) (neg.f64 (neg.f64 (log.f64 y)))) t)) (/.f64 1 (*.f64 y (*.f64 z t))))
(fma.f64 -1 (/.f64 (+.f64 (log.f64 z) (log.f64 y)) t) (/.f64 -1 (*.f64 y (*.f64 z t))))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 y 2) (*.f64 t (pow.f64 z 2))))) (*.f64 -1 (/.f64 (+.f64 (log.f64 z) (*.f64 -1 (log.f64 (/.f64 1 y)))) t))) (/.f64 1 (*.f64 y (*.f64 t z))))
(+.f64 (/.f64 1/2 (*.f64 (*.f64 y y) (*.f64 t (*.f64 z z)))) (-.f64 (neg.f64 (/.f64 (+.f64 (log.f64 z) (neg.f64 (neg.f64 (log.f64 y)))) t)) (/.f64 1 (*.f64 y (*.f64 z t)))))
(+.f64 (-.f64 (/.f64 1/2 (*.f64 (*.f64 y y) (*.f64 z (*.f64 z t)))) (/.f64 (+.f64 (log.f64 z) (log.f64 y)) t)) (/.f64 -1 (*.f64 y (*.f64 z t))))
(-.f64 (/.f64 (/.f64 (/.f64 1/2 (*.f64 z z)) t) (*.f64 y y)) (-.f64 (/.f64 (+.f64 (log.f64 z) (log.f64 y)) t) (/.f64 -1 (*.f64 y (*.f64 z t)))))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 y 2) (*.f64 t (pow.f64 z 2))))) (*.f64 -1 (/.f64 (+.f64 (log.f64 z) (*.f64 -1 (log.f64 (/.f64 1 y)))) t))) (+.f64 (/.f64 1 (*.f64 y (*.f64 t z))) (*.f64 1/3 (/.f64 1 (*.f64 (pow.f64 y 3) (*.f64 t (pow.f64 z 3)))))))
(-.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (log.f64 z) (neg.f64 (neg.f64 (log.f64 y)))) t)) (/.f64 1/2 (*.f64 (*.f64 y y) (*.f64 t (*.f64 z z))))) (+.f64 (/.f64 1 (*.f64 y (*.f64 z t))) (/.f64 1/3 (*.f64 (pow.f64 y 3) (*.f64 t (pow.f64 z 3))))))
(+.f64 (-.f64 (/.f64 1/2 (*.f64 (*.f64 y y) (*.f64 z (*.f64 z t)))) (/.f64 (+.f64 (log.f64 z) (log.f64 y)) t)) (-.f64 (/.f64 -1 (*.f64 y (*.f64 z t))) (/.f64 (/.f64 1/3 (*.f64 t (pow.f64 y 3))) (pow.f64 z 3))))
(-.f64 (+.f64 (/.f64 (/.f64 (/.f64 1/2 (*.f64 z z)) t) (*.f64 y y)) (-.f64 (/.f64 -1 (*.f64 y (*.f64 z t))) (/.f64 1/3 (*.f64 t (*.f64 (pow.f64 y 3) (pow.f64 z 3)))))) (/.f64 (+.f64 (log.f64 z) (log.f64 y)) t))
(*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (*.f64 -1 z))) t))
(neg.f64 (/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 (neg.f64 z))) t))
(/.f64 (neg.f64 (-.f64 (log.f64 (neg.f64 z)) (log.f64 (/.f64 -1 y)))) t)
(-.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (*.f64 -1 z))) t)) (/.f64 1 (*.f64 y (*.f64 t z))))
(-.f64 (neg.f64 (/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 (neg.f64 z))) t)) (/.f64 1 (*.f64 y (*.f64 z t))))
(fma.f64 -1 (/.f64 (-.f64 (log.f64 (neg.f64 z)) (log.f64 (/.f64 -1 y))) t) (/.f64 -1 (*.f64 y (*.f64 z t))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (*.f64 -1 z))) t)) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 y 2) (*.f64 t (pow.f64 z 2)))))) (/.f64 1 (*.f64 y (*.f64 t z))))
(-.f64 (fma.f64 -1 (/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 (neg.f64 z))) t) (/.f64 1/2 (*.f64 (*.f64 y y) (*.f64 t (*.f64 z z))))) (/.f64 1 (*.f64 y (*.f64 z t))))
(+.f64 (-.f64 (/.f64 1/2 (*.f64 (*.f64 y y) (*.f64 z (*.f64 z t)))) (/.f64 (-.f64 (log.f64 (neg.f64 z)) (log.f64 (/.f64 -1 y))) t)) (/.f64 -1 (*.f64 y (*.f64 z t))))
(-.f64 (/.f64 (/.f64 (/.f64 1/2 (*.f64 z z)) t) (*.f64 y y)) (+.f64 (/.f64 (/.f64 1 y) (*.f64 z t)) (/.f64 (-.f64 (log.f64 (neg.f64 z)) (log.f64 (/.f64 -1 y))) t)))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (*.f64 -1 z))) t)) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 y 2) (*.f64 t (pow.f64 z 2)))))) (+.f64 (/.f64 1 (*.f64 y (*.f64 t z))) (*.f64 1/3 (/.f64 1 (*.f64 (pow.f64 y 3) (*.f64 t (pow.f64 z 3)))))))
(-.f64 (fma.f64 -1 (/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 (neg.f64 z))) t) (/.f64 1/2 (*.f64 (*.f64 y y) (*.f64 t (*.f64 z z))))) (+.f64 (/.f64 1 (*.f64 y (*.f64 z t))) (/.f64 1/3 (*.f64 (pow.f64 y 3) (*.f64 t (pow.f64 z 3))))))
(+.f64 (-.f64 (/.f64 1/2 (*.f64 (*.f64 y y) (*.f64 z (*.f64 z t)))) (/.f64 (-.f64 (log.f64 (neg.f64 z)) (log.f64 (/.f64 -1 y))) t)) (-.f64 (/.f64 -1 (*.f64 y (*.f64 z t))) (/.f64 (/.f64 1/3 (*.f64 t (pow.f64 y 3))) (pow.f64 z 3))))
(-.f64 (+.f64 (/.f64 (/.f64 (/.f64 1/2 (*.f64 z z)) t) (*.f64 y y)) (-.f64 (/.f64 -1 (*.f64 y (*.f64 z t))) (/.f64 1/3 (*.f64 t (*.f64 (pow.f64 y 3) (pow.f64 z 3)))))) (/.f64 (-.f64 (log.f64 (neg.f64 z)) (log.f64 (/.f64 -1 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 (neg.f64 y) t) z)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) (*.f64 1/2 (/.f64 (*.f64 (pow.f64 y 2) (pow.f64 z 2)) t)))
(fma.f64 -1 (/.f64 y (/.f64 t z)) (*.f64 1/2 (/.f64 (*.f64 y y) (/.f64 t (*.f64 z z)))))
(-.f64 (*.f64 1/2 (*.f64 (/.f64 (*.f64 y y) t) (*.f64 z z))) (*.f64 (/.f64 y t) z))
(-.f64 (*.f64 (/.f64 1/2 t) (*.f64 (*.f64 y z) (*.f64 y z))) (*.f64 z (/.f64 y t)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) (+.f64 (*.f64 -1/3 (/.f64 (*.f64 (pow.f64 y 3) (pow.f64 z 3)) t)) (*.f64 1/2 (/.f64 (*.f64 (pow.f64 y 2) (pow.f64 z 2)) t))))
(fma.f64 -1 (/.f64 y (/.f64 t z)) (fma.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 (fma.f64 1/2 (*.f64 (/.f64 (*.f64 y y) t) (*.f64 z z)) (*.f64 -1/3 (*.f64 (/.f64 (pow.f64 y 3) t) (pow.f64 z 3)))) (*.f64 (/.f64 y t) z))
(-.f64 (fma.f64 1/2 (*.f64 (*.f64 z z) (/.f64 (*.f64 y y) t)) (*.f64 (/.f64 -1/3 t) (*.f64 (pow.f64 y 3) (pow.f64 z 3)))) (*.f64 z (/.f64 y t)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) (+.f64 (*.f64 1/4 (/.f64 (*.f64 (pow.f64 y 4) (pow.f64 z 4)) t)) (+.f64 (*.f64 -1/3 (/.f64 (*.f64 (pow.f64 y 3) (pow.f64 z 3)) t)) (*.f64 1/2 (/.f64 (*.f64 (pow.f64 y 2) (pow.f64 z 2)) t)))))
(fma.f64 -1 (/.f64 y (/.f64 t z)) (fma.f64 1/4 (/.f64 (pow.f64 y 4) (/.f64 t (pow.f64 z 4))) (fma.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 (fma.f64 1/4 (*.f64 (/.f64 (pow.f64 y 4) t) (pow.f64 z 4)) (fma.f64 1/2 (*.f64 (/.f64 (*.f64 y y) t) (*.f64 z z)) (*.f64 -1/3 (*.f64 (/.f64 (pow.f64 y 3) t) (pow.f64 z 3))))) (*.f64 (/.f64 y t) z))
(-.f64 (fma.f64 1/4 (*.f64 (pow.f64 z 4) (/.f64 (pow.f64 y 4) t)) (fma.f64 1/2 (*.f64 (*.f64 z z) (/.f64 (*.f64 y y) t)) (*.f64 (/.f64 -1/3 t) (*.f64 (pow.f64 y 3) (pow.f64 z 3))))) (*.f64 z (/.f64 y t)))
(*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 z))) (log.f64 y)) t))
(neg.f64 (/.f64 (+.f64 (log.f64 z) (neg.f64 (neg.f64 (log.f64 y)))) t))
(/.f64 (neg.f64 (+.f64 (log.f64 z) (log.f64 y))) t)
(/.f64 (-.f64 (neg.f64 (log.f64 z)) (log.f64 y)) t)
(-.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 z))) (log.f64 y)) t)) (/.f64 1 (*.f64 y (*.f64 t z))))
(-.f64 (neg.f64 (/.f64 (+.f64 (log.f64 z) (neg.f64 (neg.f64 (log.f64 y)))) t)) (/.f64 1 (*.f64 y (*.f64 z t))))
(fma.f64 -1 (/.f64 (+.f64 (log.f64 z) (log.f64 y)) t) (/.f64 -1 (*.f64 y (*.f64 z t))))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 y 2) (*.f64 t (pow.f64 z 2))))) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 z))) (log.f64 y)) t))) (/.f64 1 (*.f64 y (*.f64 t z))))
(+.f64 (/.f64 1/2 (*.f64 (*.f64 y y) (*.f64 t (*.f64 z z)))) (-.f64 (neg.f64 (/.f64 (+.f64 (log.f64 z) (neg.f64 (neg.f64 (log.f64 y)))) t)) (/.f64 1 (*.f64 y (*.f64 z t)))))
(+.f64 (-.f64 (/.f64 1/2 (*.f64 (*.f64 y y) (*.f64 z (*.f64 z t)))) (/.f64 (+.f64 (log.f64 z) (log.f64 y)) t)) (/.f64 -1 (*.f64 y (*.f64 z t))))
(-.f64 (/.f64 (/.f64 (/.f64 1/2 (*.f64 z z)) t) (*.f64 y y)) (-.f64 (/.f64 (+.f64 (log.f64 z) (log.f64 y)) t) (/.f64 -1 (*.f64 y (*.f64 z t)))))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 y 2) (*.f64 t (pow.f64 z 2))))) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 z))) (log.f64 y)) t))) (+.f64 (/.f64 1 (*.f64 y (*.f64 t z))) (*.f64 1/3 (/.f64 1 (*.f64 (pow.f64 y 3) (*.f64 t (pow.f64 z 3)))))))
(-.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (log.f64 z) (neg.f64 (neg.f64 (log.f64 y)))) t)) (/.f64 1/2 (*.f64 (*.f64 y y) (*.f64 t (*.f64 z z))))) (+.f64 (/.f64 1 (*.f64 y (*.f64 z t))) (/.f64 1/3 (*.f64 (pow.f64 y 3) (*.f64 t (pow.f64 z 3))))))
(+.f64 (-.f64 (/.f64 1/2 (*.f64 (*.f64 y y) (*.f64 z (*.f64 z t)))) (/.f64 (+.f64 (log.f64 z) (log.f64 y)) t)) (-.f64 (/.f64 -1 (*.f64 y (*.f64 z t))) (/.f64 (/.f64 1/3 (*.f64 t (pow.f64 y 3))) (pow.f64 z 3))))
(-.f64 (+.f64 (/.f64 (/.f64 (/.f64 1/2 (*.f64 z z)) t) (*.f64 y y)) (-.f64 (/.f64 -1 (*.f64 y (*.f64 z t))) (/.f64 1/3 (*.f64 t (*.f64 (pow.f64 y 3) (pow.f64 z 3)))))) (/.f64 (+.f64 (log.f64 z) (log.f64 y)) t))
(*.f64 -1 (/.f64 (+.f64 (log.f64 (*.f64 -1 y)) (*.f64 -1 (log.f64 (/.f64 -1 z)))) t))
(neg.f64 (/.f64 (+.f64 (log.f64 (neg.f64 y)) (neg.f64 (log.f64 (/.f64 -1 z)))) t))
(/.f64 (neg.f64 (-.f64 (log.f64 (neg.f64 y)) (log.f64 (/.f64 -1 z)))) t)
(-.f64 (*.f64 -1 (/.f64 (+.f64 (log.f64 (*.f64 -1 y)) (*.f64 -1 (log.f64 (/.f64 -1 z)))) t)) (/.f64 1 (*.f64 y (*.f64 t z))))
(-.f64 (neg.f64 (/.f64 (+.f64 (log.f64 (neg.f64 y)) (neg.f64 (log.f64 (/.f64 -1 z)))) t)) (/.f64 1 (*.f64 y (*.f64 z t))))
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(*.f64 (sqrt.f64 (/.f64 (log1p.f64 (*.f64 y z)) t)) (sqrt.f64 (/.f64 (log1p.f64 (*.f64 y z)) t)))
(/.f64 (log1p.f64 (*.f64 y z)) t)
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y z))) 2) (*.f64 (cbrt.f64 (log1p.f64 (*.f64 y z))) (/.f64 1 t)))
(/.f64 (log1p.f64 (*.f64 y z)) t)
(*.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y z)) t)) (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y z)) t)) 2))
(/.f64 (log1p.f64 (*.f64 y z)) t)
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y z)) t)) 2) (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y z)) t)))
(/.f64 (log1p.f64 (*.f64 y z)) t)
(*.f64 -1 (/.f64 (log1p.f64 (*.f64 y z)) t))
(neg.f64 (/.f64 (log.f64 (fma.f64 y z 1)) t))
(/.f64 (log1p.f64 (*.f64 y z)) (neg.f64 t))
(*.f64 (/.f64 1 t) (log1p.f64 (*.f64 y z)))
(/.f64 (log1p.f64 (*.f64 y z)) t)
(*.f64 (/.f64 1 (sqrt.f64 t)) (/.f64 (log1p.f64 (*.f64 y z)) (sqrt.f64 t)))
(/.f64 (/.f64 (log1p.f64 (*.f64 y z)) (sqrt.f64 t)) (sqrt.f64 t))
(/.f64 (log1p.f64 (*.f64 y z)) (*.f64 (sqrt.f64 t) (sqrt.f64 t)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 t) 2)) (/.f64 (log1p.f64 (*.f64 y z)) (cbrt.f64 t)))
(/.f64 (/.f64 (log1p.f64 (*.f64 y z)) (cbrt.f64 t)) (pow.f64 (cbrt.f64 t) 2))
(/.f64 (log1p.f64 (*.f64 y z)) (*.f64 (pow.f64 (cbrt.f64 t) 2) (cbrt.f64 t)))
(*.f64 (/.f64 (sqrt.f64 (log1p.f64 (*.f64 y z))) 1) (/.f64 (sqrt.f64 (log1p.f64 (*.f64 y z))) t))
(/.f64 (log1p.f64 (*.f64 y z)) t)
(*.f64 (/.f64 (sqrt.f64 (log1p.f64 (*.f64 y z))) (pow.f64 (cbrt.f64 t) 2)) (/.f64 (sqrt.f64 (log1p.f64 (*.f64 y z))) (cbrt.f64 t)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 t) 2)) (/.f64 (log1p.f64 (*.f64 y z)) (cbrt.f64 t)))
(/.f64 (/.f64 (log1p.f64 (*.f64 y z)) (cbrt.f64 t)) (pow.f64 (cbrt.f64 t) 2))
(/.f64 (log1p.f64 (*.f64 y z)) (*.f64 (pow.f64 (cbrt.f64 t) 2) (cbrt.f64 t)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y z))) 2) 1) (/.f64 (cbrt.f64 (log1p.f64 (*.f64 y z))) t))
(/.f64 (log1p.f64 (*.f64 y z)) t)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y z))) 2) (sqrt.f64 t)) (/.f64 (cbrt.f64 (log1p.f64 (*.f64 y z))) (sqrt.f64 t)))
(*.f64 (/.f64 1 (sqrt.f64 t)) (/.f64 (log1p.f64 (*.f64 y z)) (sqrt.f64 t)))
(/.f64 (/.f64 (log1p.f64 (*.f64 y z)) (sqrt.f64 t)) (sqrt.f64 t))
(/.f64 (log1p.f64 (*.f64 y z)) (*.f64 (sqrt.f64 t) (sqrt.f64 t)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y z))) 2) (pow.f64 (cbrt.f64 t) 2)) (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y z)) t)))
(*.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y z)) t)) (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y z))) 2) (pow.f64 (cbrt.f64 t) 2)))
(*.f64 (/.f64 -1 (sqrt.f64 t)) (/.f64 (log1p.f64 (*.f64 y z)) (sqrt.f64 t)))
(*.f64 (/.f64 (log1p.f64 (*.f64 y z)) (sqrt.f64 t)) (/.f64 -1 (sqrt.f64 t)))
(/.f64 (/.f64 (neg.f64 (log1p.f64 (*.f64 y z))) (sqrt.f64 t)) (sqrt.f64 t))
(/.f64 (neg.f64 (log1p.f64 (*.f64 y z))) (*.f64 (sqrt.f64 t) (sqrt.f64 t)))
(*.f64 (/.f64 -1 (pow.f64 (cbrt.f64 t) 2)) (/.f64 (log1p.f64 (*.f64 y z)) (cbrt.f64 t)))
(*.f64 (/.f64 (log1p.f64 (*.f64 y z)) (cbrt.f64 t)) (/.f64 -1 (pow.f64 (cbrt.f64 t) 2)))
(/.f64 (/.f64 (neg.f64 (log1p.f64 (*.f64 y z))) (pow.f64 (cbrt.f64 t) 2)) (cbrt.f64 t))
(/.f64 (neg.f64 (log1p.f64 (*.f64 y z))) (*.f64 (pow.f64 (cbrt.f64 t) 2) (cbrt.f64 t)))
(pow.f64 (/.f64 (log1p.f64 (*.f64 y z)) t) 1)
(/.f64 (log1p.f64 (*.f64 y z)) t)
(pow.f64 (sqrt.f64 (/.f64 (log1p.f64 (*.f64 y z)) t)) 2)
(/.f64 (log1p.f64 (*.f64 y z)) t)
(pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y z)) t)) 3)
(/.f64 (log1p.f64 (*.f64 y z)) t)
(pow.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 y z)) t) 3) 1/3)
(/.f64 (log1p.f64 (*.f64 y z)) t)
(pow.f64 (/.f64 t (log1p.f64 (*.f64 y z))) -1)
(/.f64 (log1p.f64 (*.f64 y z)) t)
(neg.f64 (/.f64 (log1p.f64 (*.f64 y z)) t))
(neg.f64 (/.f64 (log.f64 (fma.f64 y z 1)) t))
(/.f64 (log1p.f64 (*.f64 y z)) (neg.f64 t))
(sqrt.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 y z)) t) 2))
(fabs.f64 (/.f64 (log1p.f64 (*.f64 y z)) t))
(log.f64 (exp.f64 (/.f64 (log1p.f64 (*.f64 y z)) t)))
(/.f64 (log1p.f64 (*.f64 y z)) t)
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (log1p.f64 (*.f64 y z)) t))))
(/.f64 (log1p.f64 (*.f64 y z)) t)
(cbrt.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 y z)) t) 3))
(/.f64 (log1p.f64 (*.f64 y z)) t)
(expm1.f64 (log1p.f64 (/.f64 (log1p.f64 (*.f64 y z)) t)))
(/.f64 (log1p.f64 (*.f64 y z)) t)
(exp.f64 (log.f64 (/.f64 (log1p.f64 (*.f64 y z)) t)))
(/.f64 (log1p.f64 (*.f64 y z)) t)
(exp.f64 (*.f64 (log.f64 (/.f64 (log1p.f64 (*.f64 y z)) t)) 1))
(/.f64 (log1p.f64 (*.f64 y z)) t)
(log1p.f64 (expm1.f64 (/.f64 (log1p.f64 (*.f64 y z)) t)))
(/.f64 (log1p.f64 (*.f64 y z)) t)
(+.f64 0 (log1p.f64 (*.f64 y z)))
(log1p.f64 (*.f64 y z))
(-.f64 0 (log1p.f64 (*.f64 y z)))
(neg.f64 (log1p.f64 (*.f64 y z)))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (*.f64 y z)))) 1)
(log1p.f64 (*.f64 y z))
(*.f64 (log1p.f64 (*.f64 y z)) 1)
(log1p.f64 (*.f64 y z))
(*.f64 (log1p.f64 (*.f64 y z)) -1)
(neg.f64 (log1p.f64 (*.f64 y z)))
(*.f64 1 (log1p.f64 (*.f64 y z)))
(log1p.f64 (*.f64 y z))
(*.f64 (sqrt.f64 (log1p.f64 (*.f64 y z))) (sqrt.f64 (log1p.f64 (*.f64 y z))))
(log1p.f64 (*.f64 y z))
(*.f64 (sqrt.f64 (log1p.f64 (*.f64 y z))) (neg.f64 (sqrt.f64 (log1p.f64 (*.f64 y z)))))
(neg.f64 (log1p.f64 (*.f64 y z)))
(*.f64 (cbrt.f64 (log1p.f64 (*.f64 y z))) (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y z))) 2))
(log1p.f64 (*.f64 y z))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y z))) 2) (cbrt.f64 (log1p.f64 (*.f64 y z))))
(log1p.f64 (*.f64 y z))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y z))) 2) (neg.f64 (cbrt.f64 (log1p.f64 (*.f64 y z)))))
(neg.f64 (log1p.f64 (*.f64 y z)))
(*.f64 -1 (log1p.f64 (*.f64 y z)))
(neg.f64 (log1p.f64 (*.f64 y z)))
(*.f64 (*.f64 -1 (sqrt.f64 (log1p.f64 (*.f64 y z)))) (sqrt.f64 (log1p.f64 (*.f64 y z))))
(neg.f64 (log1p.f64 (*.f64 y z)))
(*.f64 (*.f64 -1 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y z))) 2)) (cbrt.f64 (log1p.f64 (*.f64 y z))))
(neg.f64 (log1p.f64 (*.f64 y z)))
(*.f64 (neg.f64 (sqrt.f64 (log1p.f64 (*.f64 y z)))) (sqrt.f64 (log1p.f64 (*.f64 y z))))
(neg.f64 (log1p.f64 (*.f64 y z)))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y z))) 2)) (cbrt.f64 (log1p.f64 (*.f64 y z))))
(neg.f64 (log1p.f64 (*.f64 y z)))
(/.f64 (-.f64 0 (pow.f64 (log1p.f64 (*.f64 y z)) 2)) (log1p.f64 (*.f64 y z)))
(/.f64 (neg.f64 (pow.f64 (log1p.f64 (*.f64 y z)) 2)) (log1p.f64 (*.f64 y z)))
(/.f64 (-.f64 0 (pow.f64 (log1p.f64 (*.f64 y z)) 3)) (+.f64 0 (+.f64 (pow.f64 (log1p.f64 (*.f64 y z)) 2) (*.f64 0 (log1p.f64 (*.f64 y z))))))
(/.f64 (neg.f64 (pow.f64 (log1p.f64 (*.f64 y z)) 3)) (+.f64 0 (pow.f64 (log1p.f64 (*.f64 y z)) 2)))
(/.f64 (neg.f64 (pow.f64 (log1p.f64 (*.f64 y z)) 3)) (pow.f64 (log1p.f64 (*.f64 y z)) 2))
(pow.f64 (log1p.f64 (*.f64 y z)) 1)
(log1p.f64 (*.f64 y z))
(pow.f64 (sqrt.f64 (log1p.f64 (*.f64 y z))) 2)
(log1p.f64 (*.f64 y z))
(pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y z))) 3)
(log1p.f64 (*.f64 y z))
(pow.f64 (pow.f64 (log1p.f64 (*.f64 y z)) 3) 1/3)
(log1p.f64 (*.f64 y z))
(neg.f64 (log1p.f64 (*.f64 y z)))
(sqrt.f64 (pow.f64 (log1p.f64 (*.f64 y z)) 2))
(fabs.f64 (log1p.f64 (*.f64 y z)))
(log.f64 (+.f64 (*.f64 y z) 1))
(log1p.f64 (*.f64 y z))
(cbrt.f64 (pow.f64 (log1p.f64 (*.f64 y z)) 3))
(log1p.f64 (*.f64 y z))
(expm1.f64 (log1p.f64 (log1p.f64 (*.f64 y z))))
(log1p.f64 (*.f64 y z))
(exp.f64 (log.f64 (log1p.f64 (*.f64 y z))))
(log1p.f64 (*.f64 y z))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (*.f64 y z))) 1))
(log1p.f64 (*.f64 y z))

localize12.0ms (0.1%)

Local Accuracy

Found 4 expressions with local accuracy:

NewAccuracyProgram
100.0%
(-.f64 x (/.f64 (log.f64 y) t))
99.9%
(-.f64 (-.f64 x (/.f64 (log.f64 y) t)) (/.f64 (log.f64 z) t))
99.9%
(/.f64 (log.f64 z) t)
99.8%
(/.f64 (log.f64 y) t)
Compiler

Compiled 37 to 10 computations (73% saved)

series50.0ms (0.3%)

Counts
2 → 56
Calls

18 calls:

TimeVariablePointExpression
13.0ms
t
@0
(/.f64 (log.f64 z) t)
10.0ms
z
@0
(/.f64 (log.f64 z) t)
8.0ms
z
@inf
(/.f64 (log.f64 z) t)
7.0ms
z
@-inf
(/.f64 (log.f64 z) t)
5.0ms
y
@0
(-.f64 (-.f64 x (/.f64 (log.f64 y) t)) (/.f64 (log.f64 z) t))

rewrite111.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
1814×associate-/r*
1338×associate-/l*
470×associate-/r/
338×associate-+l+
304×add-sqr-sqrt
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01344
128144
2413944
Stop Event
node limit
Counts
2 → 191
Calls
Call 1
Inputs
(/.f64 (log.f64 z) t)
(-.f64 (-.f64 x (/.f64 (log.f64 y) t)) (/.f64 (log.f64 z) t))
Outputs
(((-.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 z) t))) 1) (2)) ((*.f64 (log.f64 z) (/.f64 1 t)) (2)) ((*.f64 (/.f64 (log.f64 z) t) 1) (2)) ((*.f64 1 (/.f64 (log.f64 z) t)) (2)) ((*.f64 (sqrt.f64 (log.f64 z)) (*.f64 (sqrt.f64 (log.f64 z)) (/.f64 1 t))) (2)) ((*.f64 (sqrt.f64 (/.f64 (log.f64 z) t)) (sqrt.f64 (/.f64 (log.f64 z) t))) (2)) ((*.f64 (pow.f64 (cbrt.f64 (log.f64 z)) 2) (*.f64 (cbrt.f64 (log.f64 z)) (/.f64 1 t))) (2)) ((*.f64 (cbrt.f64 (/.f64 (log.f64 z) t)) (pow.f64 (cbrt.f64 (/.f64 (log.f64 z) t)) 2)) (2)) ((*.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 z) t)) 2) (cbrt.f64 (/.f64 (log.f64 z) t))) (2)) ((*.f64 (/.f64 1 t) (log.f64 z)) (2)) ((*.f64 (neg.f64 (log.f64 z)) (/.f64 -1 t)) (2)) ((*.f64 (/.f64 1 (sqrt.f64 t)) (/.f64 (log.f64 z) (sqrt.f64 t))) (2)) ((*.f64 (/.f64 1 (pow.f64 (cbrt.f64 t) 2)) (/.f64 (log.f64 z) (cbrt.f64 t))) (2)) ((*.f64 (/.f64 -1 t) (neg.f64 (log.f64 z))) (2)) ((*.f64 (/.f64 (sqrt.f64 (log.f64 z)) 1) (/.f64 (sqrt.f64 (log.f64 z)) t)) (2)) ((*.f64 (/.f64 (sqrt.f64 (log.f64 z)) t) (sqrt.f64 (log.f64 z))) (2)) ((*.f64 (/.f64 (sqrt.f64 (log.f64 z)) (pow.f64 (cbrt.f64 t) 2)) (/.f64 (sqrt.f64 (log.f64 z)) (cbrt.f64 t))) (2)) ((*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 z)) 2) 1) (/.f64 (cbrt.f64 (log.f64 z)) t)) (2)) ((*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 z)) 2) (sqrt.f64 t)) (/.f64 (cbrt.f64 (log.f64 z)) (sqrt.f64 t))) (2)) ((*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 z)) 2) (pow.f64 (cbrt.f64 t) 2)) (cbrt.f64 (/.f64 (log.f64 z) t))) (2)) ((*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 z)) 2) t) (cbrt.f64 (log.f64 z))) (2)) ((*.f64 (/.f64 1 (/.f64 t (pow.f64 (cbrt.f64 (log.f64 z)) 2))) (cbrt.f64 (log.f64 z))) (2)) ((pow.f64 (/.f64 (log.f64 z) t) 1) (2)) ((pow.f64 (sqrt.f64 (/.f64 (log.f64 z) t)) 2) (2)) ((pow.f64 (cbrt.f64 (/.f64 (log.f64 z) t)) 3) (2)) ((pow.f64 (/.f64 t (log.f64 z)) -1) (2)) ((pow.f64 (pow.f64 (/.f64 (log.f64 z) t) 3) 1/3) (2)) ((neg.f64 (/.f64 (log.f64 z) (neg.f64 t))) (2)) ((sqrt.f64 (pow.f64 (/.f64 (log.f64 z) t) 2)) (2)) ((log.f64 (pow.f64 z (/.f64 1 t))) (2)) ((log.f64 (+.f64 1 (expm1.f64 (/.f64 (log.f64 z) t)))) (2)) ((cbrt.f64 (pow.f64 (/.f64 (log.f64 z) t) 3)) (2)) ((expm1.f64 (log1p.f64 (/.f64 (log.f64 z) t))) (2)) ((exp.f64 (log.f64 (/.f64 (log.f64 z) t))) (2)) ((exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 z) t)) 1)) (2)) ((log1p.f64 (expm1.f64 (/.f64 (log.f64 z) t))) (2)))
(((+.f64 x (+.f64 (/.f64 (neg.f64 (log.f64 z)) t) (/.f64 (neg.f64 (log.f64 y)) t))) (2)) ((+.f64 x (-.f64 (/.f64 (neg.f64 (log.f64 y)) t) (/.f64 (log.f64 z) t))) (2)) ((+.f64 x (neg.f64 (+.f64 (/.f64 (log.f64 z) t) (/.f64 (log.f64 y) t)))) (2)) ((+.f64 x (+.f64 (*.f64 (/.f64 (neg.f64 (log.f64 y)) t) 1) (/.f64 (neg.f64 (log.f64 z)) t))) (2)) ((+.f64 x (+.f64 (/.f64 (neg.f64 (log.f64 y)) t) (*.f64 (/.f64 (neg.f64 (log.f64 z)) t) 1))) (2)) ((+.f64 x (+.f64 (*.f64 (/.f64 (neg.f64 (log.f64 y)) t) 1) (*.f64 (/.f64 (neg.f64 (log.f64 z)) t) 1))) (2)) ((+.f64 x (+.f64 (+.f64 (/.f64 (neg.f64 (log.f64 z)) t) (/.f64 (neg.f64 (log.f64 y)) t)) (fma.f64 (neg.f64 (/.f64 1 t)) (log.f64 z) (/.f64 (log.f64 z) t)))) (2)) ((+.f64 x (+.f64 (-.f64 (/.f64 (neg.f64 (log.f64 y)) t) (/.f64 (log.f64 z) t)) (fma.f64 (neg.f64 (/.f64 1 t)) (log.f64 z) (/.f64 (log.f64 z) t)))) (2)) ((+.f64 x (+.f64 (neg.f64 (+.f64 (/.f64 (log.f64 z) t) (/.f64 (log.f64 y) t))) (fma.f64 (neg.f64 (/.f64 1 t)) (log.f64 z) (/.f64 (log.f64 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simplify215.0ms (1.2%)

Algorithm
egg-herbie
Rules
1342×+-commutative
802×fma-def
632×associate-+l+
612×associate-*r*
608×associate-+r+
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
052414487
1157112849
2763412849
Stop Event
node limit
Counts
247 → 283
Calls
Call 1
Inputs
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(*.f64 -1 (/.f64 (log.f64 (/.f64 1 z)) t))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 z)) t))
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x
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(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (neg.f64 (+.f64 (/.f64 (log.f64 z) t) (/.f64 (log.f64 y) t))))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 x (/.f64 (log.f64 y) t))) 2) (cbrt.f64 (-.f64 x (/.f64 (log.f64 y) t))) (/.f64 (neg.f64 (log.f64 z)) t))
Outputs
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 z)) t))
(neg.f64 (/.f64 (neg.f64 (log.f64 z)) t))
(/.f64 (log.f64 z) t)
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(/.f64 (log.f64 z) t)
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(*.f64 -1 (/.f64 (log.f64 (/.f64 1 z)) t))
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(exp.f64 (log.f64 (-.f64 x (+.f64 (/.f64 (log.f64 z) t) (/.f64 (log.f64 y) t)))))
(-.f64 x (+.f64 (/.f64 (log.f64 y) t) (/.f64 (log.f64 z) t)))
(exp.f64 (*.f64 (log.f64 (-.f64 x (+.f64 (/.f64 (log.f64 z) t) (/.f64 (log.f64 y) t)))) 1))
(-.f64 x (+.f64 (/.f64 (log.f64 y) t) (/.f64 (log.f64 z) t)))
(log1p.f64 (expm1.f64 (-.f64 x (+.f64 (/.f64 (log.f64 z) t) (/.f64 (log.f64 y) t)))))
(-.f64 x (+.f64 (/.f64 (log.f64 y) t) (/.f64 (log.f64 z) t)))
(fma.f64 1 x (neg.f64 (+.f64 (/.f64 (log.f64 z) t) (/.f64 (log.f64 y) t))))
(-.f64 x (+.f64 (/.f64 (log.f64 y) t) (/.f64 (log.f64 z) t)))
(fma.f64 1 (-.f64 x (/.f64 (log.f64 y) t)) (/.f64 (neg.f64 (log.f64 z)) t))
(-.f64 x (+.f64 (/.f64 (log.f64 y) t) (/.f64 (log.f64 z) t)))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (neg.f64 (+.f64 (/.f64 (log.f64 z) t) (/.f64 (log.f64 y) t))))
(-.f64 x (+.f64 (/.f64 (log.f64 y) t) (/.f64 (log.f64 z) t)))
(fma.f64 (sqrt.f64 (-.f64 x (/.f64 (log.f64 y) t))) (sqrt.f64 (-.f64 x (/.f64 (log.f64 y) t))) (/.f64 (neg.f64 (log.f64 z)) t))
(-.f64 x (+.f64 (/.f64 (log.f64 y) t) (/.f64 (log.f64 z) t)))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (neg.f64 (+.f64 (/.f64 (log.f64 z) t) (/.f64 (log.f64 y) t))))
(-.f64 x (+.f64 (/.f64 (log.f64 y) t) (/.f64 (log.f64 z) t)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 x (/.f64 (log.f64 y) t))) 2) (cbrt.f64 (-.f64 x (/.f64 (log.f64 y) t))) (/.f64 (neg.f64 (log.f64 z)) t))
(-.f64 x (+.f64 (/.f64 (log.f64 y) t) (/.f64 (log.f64 z) t)))

eval502.0ms (2.8%)

Compiler

Compiled 34673 to 11645 computations (66.4% saved)

prune603.0ms (3.3%)

Pruning

29 alts after pruning (22 fresh and 7 done)

PrunedKeptTotal
New1310101320
Fresh51217
Picked101
Done077
Total1316291345
Accurracy
100.0%
Counts
1345 → 29
Alt Table
Click to see full alt table
StatusAccuracyProgram
97.0%
(pow.f64 (cbrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) 3)
2.9%
(/.f64 (-.f64 (neg.f64 (log.f64 z)) (log.f64 y)) t)
11.4%
(/.f64 (*.f64 (neg.f64 z) y) t)
28.5%
(/.f64 (neg.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) t)
16.7%
(/.f64 (neg.f64 (log1p.f64 (*.f64 y (+.f64 z (*.f64 (*.f64 z z) 1/2))))) t)
17.6%
(/.f64 (neg.f64 (log1p.f64 (*.f64 y z))) t)
15.5%
(/.f64 (neg.f64 (expm1.f64 z)) (/.f64 t y))
81.1%
(/.f64 1 (/.f64 1 (-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t)))))
2.9%
(-.f64 (/.f64 (neg.f64 (log.f64 z)) t) (/.f64 (log.f64 y) t))
10.1%
(-.f64 (*.f64 (/.f64 1/2 t) (*.f64 (*.f64 y z) (*.f64 y z))) (*.f64 z (/.f64 y t)))
59.7%
(-.f64 x (pow.f64 (sqrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 2))
70.6%
(-.f64 x (/.f64 (/.f64 z t) (/.f64 1 y)))
70.5%
(-.f64 x (/.f64 (/.f64 y (/.f64 1 z)) t))
99.1%
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))
81.2%
(-.f64 x (/.f64 (expm1.f64 z) (/.f64 t y)))
70.6%
(-.f64 x (/.f64 y (/.f64 t z)))
98.7%
(-.f64 x (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z))))) 3)))
79.4%
(-.f64 x (/.f64 1 (/.f64 t (log1p.f64 (*.f64 z y)))))
99.1%
(-.f64 x (/.f64 1 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z))))))
88.2%
(-.f64 x (/.f64 1 (+.f64 (/.f64 t (*.f64 (expm1.f64 z) y)) (*.f64 t 1/2))))
65.8%
(-.f64 x (+.f64 (/.f64 y (/.f64 t z)) (*.f64 1/2 (/.f64 y (/.f64 t (*.f64 z z))))))
69.1%
(-.f64 x (*.f64 (*.f64 (/.f64 1 t) y) z))
15.6%
(*.f64 (/.f64 (neg.f64 y) t) (expm1.f64 z))
10.3%
(*.f64 (/.f64 (neg.f64 y) t) z)
28.4%
(*.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (/.f64 1 (neg.f64 t)))
17.6%
(*.f64 (log1p.f64 (*.f64 y z)) (/.f64 1 (neg.f64 t)))
12.0%
(neg.f64 (/.f64 y (/.f64 t z)))
12.0%
(neg.f64 (*.f64 (neg.f64 y) (/.f64 1 (/.f64 (neg.f64 t) z))))
72.6%
x
Compiler

Compiled 697 to 497 computations (28.7% saved)

localize20.0ms (0.1%)

Local Accuracy

Found 4 expressions with local accuracy:

NewAccuracyProgram
99.6%
(/.f64 1 (pow.f64 (cbrt.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z))))) 3))
99.1%
(pow.f64 (cbrt.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z))))) 3)
91.8%
(/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z))))
76.6%
(cbrt.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))))
Compiler

Compiled 72 to 22 computations (69.4% saved)

series88.0ms (0.5%)

Counts
3 → 68
Calls

27 calls:

TimeVariablePointExpression
31.0ms
z
@0
(pow.f64 (cbrt.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z))))) 3)
11.0ms
z
@0
(cbrt.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))))
8.0ms
y
@0
(pow.f64 (cbrt.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z))))) 3)
7.0ms
y
@-inf
(pow.f64 (cbrt.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z))))) 3)
6.0ms
y
@inf
(pow.f64 (cbrt.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z))))) 3)

rewrite110.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
1348×associate-*r/
1118×associate-/r*
998×associate-*l/
688×associate-/l*
304×distribute-rgt-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01573
130767
2346867
Stop Event
node limit
Counts
3 → 338
Calls
Call 1
Inputs
(cbrt.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))))
(pow.f64 (cbrt.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z))))) 3)
(/.f64 1 (pow.f64 (cbrt.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z))))) 3))
Outputs
(((-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z))))))) 1) (2)) ((*.f64 (cbrt.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z))))) 1) (2)) ((*.f64 1 (cbrt.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))))) (2)) ((*.f64 (pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) 1/6) (pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) 1/6)) (2)) ((*.f64 (cbrt.f64 (cbrt.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))))) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))))) 2)) (2)) ((*.f64 (cbrt.f64 (cbrt.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))))) (pow.f64 (pow.f64 (cbrt.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z))))) 2) 1/3)) (2)) ((*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))))) 2) (cbrt.f64 (cbrt.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z))))))) (2)) ((*.f64 (cbrt.f64 t) (cbrt.f64 (/.f64 1 (log1p.f64 (*.f64 y (expm1.f64 z)))))) (2)) ((*.f64 (cbrt.f64 t) (/.f64 1 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))))) (2)) ((*.f64 (cbrt.f64 t) (pow.f64 (/.f64 1 (log1p.f64 (*.f64 y (expm1.f64 z)))) 1/3)) (2)) ((*.f64 -1 (cbrt.f64 (/.f64 t (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))))) (2)) ((*.f64 (/.f64 1 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) (cbrt.f64 t)) (2)) ((*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z))))) 2) 1/3) (cbrt.f64 (cbrt.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z))))))) (2)) ((*.f64 (pow.f64 1 1/3) (cbrt.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))))) (2)) ((*.f64 (pow.f64 (sqrt.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z))))) 1/3) (pow.f64 (sqrt.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z))))) 1/3)) (2)) ((/.f64 1 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) (2)) ((/.f64 (cbrt.f64 t) (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) (2)) ((/.f64 (sqrt.f64 (cbrt.f64 t)) (/.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (sqrt.f64 (cbrt.f64 t)))) (2)) ((/.f64 (cbrt.f64 (pow.f64 (cbrt.f64 t) 2)) (/.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (cbrt.f64 (cbrt.f64 t)))) (2)) ((/.f64 (cbrt.f64 (neg.f64 t)) (cbrt.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))))) (2)) ((/.f64 (cbrt.f64 (sqrt.f64 t)) (/.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (cbrt.f64 (sqrt.f64 t)))) (2)) ((/.f64 (*.f64 (cbrt.f64 (cbrt.f64 t)) (cbrt.f64 (cbrt.f64 t))) (/.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (cbrt.f64 (cbrt.f64 t)))) (2)) ((/.f64 (neg.f64 (cbrt.f64 t)) (neg.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))))) (2)) ((/.f64 (*.f64 (cbrt.f64 t) 1) (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) (2)) ((/.f64 (*.f64 1 (cbrt.f64 (neg.f64 t))) (cbrt.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))))) (2)) ((/.f64 (*.f64 1 (neg.f64 (cbrt.f64 t))) (neg.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))))) (2)) ((/.f64 (*.f64 (pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) 1/6) (sqrt.f64 (cbrt.f64 t))) (sqrt.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))))) (2)) ((/.f64 (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))))) 2) (cbrt.f64 (cbrt.f64 t))) (cbrt.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))))) (2)) ((/.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z))))) 2) 1/3) (cbrt.f64 (cbrt.f64 t))) (cbrt.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))))) (2)) ((/.f64 (*.f64 (pow.f64 1 1/3) 1) (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) (2)) ((/.f64 (*.f64 (pow.f64 1 1/3) (cbrt.f64 t)) (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) (2)) ((/.f64 (*.f64 (pow.f64 1 1/3) (cbrt.f64 (neg.f64 t))) (cbrt.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))))) (2)) ((/.f64 (*.f64 (pow.f64 1 1/3) (neg.f64 (cbrt.f64 t))) (neg.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))))) (2)) ((/.f64 (*.f64 (cbrt.f64 (neg.f64 t)) 1) (cbrt.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))))) (2)) ((/.f64 (*.f64 (neg.f64 (cbrt.f64 t)) 1) (neg.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))))) (2)) ((/.f64 (*.f64 (sqrt.f64 (cbrt.f64 t)) (pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) 1/6)) (sqrt.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))))) (2)) ((/.f64 (*.f64 (cbrt.f64 (cbrt.f64 t)) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))))) 2)) (cbrt.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))))) (2)) ((/.f64 (*.f64 (cbrt.f64 (cbrt.f64 t)) (pow.f64 (pow.f64 (cbrt.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z))))) 2) 1/3)) (cbrt.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))))) (2)) ((/.f64 (/.f64 (cbrt.f64 t) 1) (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) (2)) ((/.f64 (/.f64 1 (sqrt.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))) (sqrt.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))) (2)) ((/.f64 (/.f64 1 (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 2))) (cbrt.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))) (2)) ((/.f64 (/.f64 1 (cbrt.f64 (sqrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))) (cbrt.f64 (sqrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))) (2)) ((/.f64 (/.f64 1 (*.f64 (cbrt.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) (cbrt.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))))) (cbrt.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))) (2)) ((/.f64 (/.f64 (cbrt.f64 t) (sqrt.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))))) (sqrt.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))))) (2)) ((/.f64 (/.f64 (cbrt.f64 t) (*.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) (cbrt.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))))) (cbrt.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))))) (2)) ((/.f64 (/.f64 (cbrt.f64 t) (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 2))) (cbrt.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))))) (2)) ((/.f64 (/.f64 (cbrt.f64 t) (cbrt.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))))) (cbrt.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))))) (2)) ((pow.f64 (cbrt.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z))))) 1) (2)) ((pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) 1/3) (2)) ((pow.f64 (pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) 1/6) 2) (2)) ((pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))))) 3) (2)) ((sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z))))) 2)) (2)) ((log.f64 (exp.f64 (cbrt.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z))))))) (2)) ((log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))))))) (2)) ((expm1.f64 (log1p.f64 (cbrt.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z))))))) (2)) ((exp.f64 (log.f64 (cbrt.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z))))))) (2)) ((exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))))) 1)) (2)) ((exp.f64 (*.f64 (log.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z))))) 1/3)) (2)) ((log1p.f64 (expm1.f64 (cbrt.f64 (/.f64 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(expm1.f64 z))) t))) (2)) ((exp.f64 (-.f64 (log.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (log.f64 t))) (2)) ((exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))))) -3)) (2)) ((exp.f64 (*.f64 (log.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z))))) -1)) (2)) ((exp.f64 (*.f64 (log.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 1)) (2)) ((log1p.f64 (expm1.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) (2)))

simplify246.0ms (1.4%)

Algorithm
egg-herbie
Rules
1416×associate-/r*
1120×associate-*l*
1046×*-commutative
642×associate-/l/
642×associate-/r/
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0108733828
1288032904
Stop Event
node limit
Counts
406 → 599
Calls
Call 1
Inputs
(pow.f64 (/.f64 t (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y))))) 1/3)
(+.f64 (pow.f64 (/.f64 t (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y))))) 1/3) (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 (*.f64 1 (pow.f64 t 7)) (pow.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) 16)) 1/9) (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y)))))
(+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) 2) 1) (pow.f64 t 2)) 1/3) (/.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 (*.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 1/3 (*.f64 (/.f64 1 (pow.f64 (-.f64 (exp.f64 z) 1) 2)) (pow.f64 (/.f64 (*.f64 1 (pow.f64 t 17)) (pow.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) 35)) 1/9))))) (pow.f64 y 2)))) (+.f64 (pow.f64 (/.f64 t (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y))))) 1/3) (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 (*.f64 1 (pow.f64 t 7)) (pow.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) 16)) 1/9) (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))))))
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(pow.f64 (/.f64 t (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1))))) 1/3)
(+.f64 (pow.f64 (/.f64 t (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1))))) 1/3) (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 (*.f64 1 (pow.f64 t 7)) (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1)))) 16)) 1/9) (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y)))))
(+.f64 (pow.f64 (/.f64 t (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1))))) 1/3) (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 (*.f64 1 (pow.f64 t 7)) (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1)))) 16)) 1/9) (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y)))) (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1)))) 2) 1) (pow.f64 t 2)) 1/3) (/.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 (*.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 1/3 (*.f64 (/.f64 1 (pow.f64 (-.f64 (exp.f64 z) 1) 2)) (pow.f64 (/.f64 (*.f64 1 (pow.f64 t 17)) (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1)))) 35)) 1/9))))) (pow.f64 y 2))))))
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(pow.f64 (/.f64 t (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y)))) 1/3)
(pow.f64 (/.f64 t (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y)))) 1/3)
(pow.f64 (/.f64 t (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y)))) 1/3)
(pow.f64 (/.f64 t (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y)))) 1/3)
(pow.f64 (/.f64 t (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y)))) 1/3)
(pow.f64 (/.f64 t (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y)))) 1/3)
(pow.f64 (/.f64 t (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y)))) 1/3)
(pow.f64 (/.f64 t (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y)))) 1/3)
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(*.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)))
(*.f64 (/.f64 -1 t) (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))))
(*.f64 (/.f64 1 (sqrt.f64 t)) (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (sqrt.f64 t)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 t) 2)) (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (cbrt.f64 t)))
(*.f64 (/.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 1) (/.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) t))
(*.f64 (/.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) t) (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))))
(*.f64 (/.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (pow.f64 (cbrt.f64 t) 2)) (/.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (cbrt.f64 t)))
(*.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))
(*.f64 (/.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) t) (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 2))
(*.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)))
(*.f64 (pow.f64 (pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) 1/6) -3) (pow.f64 (pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) 1/6) -3))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))))) 2) -3) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))))) -3))
(*.f64 (pow.f64 t -1) (pow.f64 (/.f64 1 (log1p.f64 (*.f64 y (expm1.f64 z)))) -1))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z))))) -1) (pow.f64 (pow.f64 (cbrt.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z))))) 2) -1))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z))))) 2) -1) (pow.f64 (cbrt.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z))))) -1))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z))))) -1) (pow.f64 (sqrt.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z))))) -1))
(*.f64 (/.f64 (sqrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 1) (sqrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))
(*.f64 (/.f64 -1 (neg.f64 t)) (log1p.f64 (*.f64 y (expm1.f64 z))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 2) 1) (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 2) (cbrt.f64 t)) (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 2) t) (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))))
(*.f64 (/.f64 1 (neg.f64 (neg.f64 t))) (neg.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))))
(*.f64 (/.f64 1 (/.f64 t (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 2))) (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))))
(*.f64 (/.f64 1 (/.f64 t 1)) (log1p.f64 (*.f64 y (expm1.f64 z))))
(*.f64 (/.f64 (sqrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) (sqrt.f64 (neg.f64 t))) (sqrt.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))))
(*.f64 (/.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) (/.f64 (pow.f64 (cbrt.f64 t) 2) (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))))) (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))))
(*.f64 (/.f64 -1 (neg.f64 (neg.f64 t))) (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))))
(*.f64 (/.f64 (/.f64 1 t) -1) (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))))
(*.f64 (/.f64 (/.f64 1 t) (/.f64 1 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))))) (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))))
(*.f64 (/.f64 (/.f64 1 t) (/.f64 1 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 2))) (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 2) (cbrt.f64 (neg.f64 t))) (cbrt.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 2) (neg.f64 (cbrt.f64 t))) (neg.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))))
(pow.f64 (cbrt.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z))))) -3)
(pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) -1)
(pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 1)
(pow.f64 (sqrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 2)
(pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 3)
(pow.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 3) 1/3)
(sqrt.f64 (pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) -2))
(log.f64 (exp.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))))
(cbrt.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 3))
(expm1.f64 (log1p.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))
(exp.f64 (log.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))
(exp.f64 (-.f64 (log.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (log.f64 t)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))))) -3))
(exp.f64 (*.f64 (log.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z))))) -1))
(exp.f64 (*.f64 (log.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 1))
(log1p.f64 (expm1.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))
Outputs
(pow.f64 (/.f64 t (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y))))) 1/3)
(cbrt.f64 (/.f64 t (+.f64 (log.f64 (expm1.f64 z)) (neg.f64 (neg.f64 (log.f64 y))))))
(+.f64 (pow.f64 (/.f64 t (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y))))) 1/3) (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 (*.f64 1 (pow.f64 t 7)) (pow.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) 16)) 1/9) (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y)))))
(+.f64 (*.f64 -1/3 (*.f64 (*.f64 (pow.f64 (/.f64 (pow.f64 t 7) (pow.f64 (+.f64 (log.f64 (expm1.f64 z)) (neg.f64 (neg.f64 (log.f64 y)))) 16)) 1/18) (pow.f64 (/.f64 (pow.f64 t 7) (pow.f64 (+.f64 (log.f64 (expm1.f64 z)) (neg.f64 (neg.f64 (log.f64 y)))) 16)) 1/18)) (/.f64 1 (*.f64 (expm1.f64 z) y)))) (cbrt.f64 (/.f64 t (+.f64 (log.f64 (expm1.f64 z)) (neg.f64 (neg.f64 (log.f64 y)))))))
(+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 (pow.f64 t 7) (pow.f64 (+.f64 (log.f64 (expm1.f64 z)) (neg.f64 (neg.f64 (log.f64 y)))) 16)) 1/18) (*.f64 (pow.f64 (/.f64 (pow.f64 t 7) (pow.f64 (+.f64 (log.f64 (expm1.f64 z)) (neg.f64 (neg.f64 (log.f64 y)))) 16)) 1/18) (/.f64 1 (*.f64 (expm1.f64 z) y))))) (cbrt.f64 (/.f64 t (+.f64 (log.f64 (expm1.f64 z)) (neg.f64 (neg.f64 (log.f64 y)))))))
(+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) 2) 1) (pow.f64 t 2)) 1/3) (/.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 (*.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 1/3 (*.f64 (/.f64 1 (pow.f64 (-.f64 (exp.f64 z) 1) 2)) (pow.f64 (/.f64 (*.f64 1 (pow.f64 t 17)) (pow.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) 35)) 1/9))))) (pow.f64 y 2)))) (+.f64 (pow.f64 (/.f64 t (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y))))) 1/3) (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 (*.f64 1 (pow.f64 t 7)) (pow.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) 16)) 1/9) (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))))))
(fma.f64 -1/3 (*.f64 (cbrt.f64 (/.f64 (pow.f64 (+.f64 (log.f64 (expm1.f64 z)) (neg.f64 (neg.f64 (log.f64 y)))) 2) (*.f64 t t))) (/.f64 (fma.f64 -1/2 (/.f64 t (*.f64 (pow.f64 (+.f64 (log.f64 (expm1.f64 z)) (neg.f64 (neg.f64 (log.f64 y)))) 2) (pow.f64 (expm1.f64 z) 2))) (fma.f64 -1 (/.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 1/3 (*.f64 (/.f64 1 (pow.f64 (expm1.f64 z) 2)) (*.f64 (pow.f64 (/.f64 (pow.f64 t 17) (pow.f64 (+.f64 (log.f64 (expm1.f64 z)) (neg.f64 (neg.f64 (log.f64 y)))) 35)) 1/18) (pow.f64 (/.f64 (pow.f64 t 17) (pow.f64 (+.f64 (log.f64 (expm1.f64 z)) (neg.f64 (neg.f64 (log.f64 y)))) 35)) 1/18)))))) (*.f64 y y))) (+.f64 (*.f64 -1/3 (*.f64 (*.f64 (pow.f64 (/.f64 (pow.f64 t 7) (pow.f64 (+.f64 (log.f64 (expm1.f64 z)) (neg.f64 (neg.f64 (log.f64 y)))) 16)) 1/18) (pow.f64 (/.f64 (pow.f64 t 7) (pow.f64 (+.f64 (log.f64 (expm1.f64 z)) (neg.f64 (neg.f64 (log.f64 y)))) 16)) 1/18)) (/.f64 1 (*.f64 (expm1.f64 z) y)))) (cbrt.f64 (/.f64 t (+.f64 (log.f64 (expm1.f64 z)) (neg.f64 (neg.f64 (log.f64 y))))))))
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(*.f64 -1 (neg.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)
(*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t)) -1)
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)
(*.f64 (/.f64 1 t) (log1p.f64 (*.f64 y (expm1.f64 z))))
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)
(*.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)))
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)
(*.f64 (/.f64 -1 t) (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))))
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)
(*.f64 (/.f64 1 (sqrt.f64 t)) (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (sqrt.f64 t)))
(/.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (sqrt.f64 t)) (sqrt.f64 t))
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 (sqrt.f64 t) (sqrt.f64 t)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 t) 2)) (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (cbrt.f64 t)))
(/.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (cbrt.f64 t)) (pow.f64 (cbrt.f64 t) 2))
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 (cbrt.f64 t) (pow.f64 (cbrt.f64 t) 2)))
(*.f64 (/.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 1) (/.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) t))
(*.f64 (sqrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) (/.f64 (sqrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) t))
(/.f64 (*.f64 (sqrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) (sqrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)))) t)
(*.f64 (/.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) t) (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))))
(*.f64 (sqrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) (/.f64 (sqrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) t))
(/.f64 (*.f64 (sqrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) (sqrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)))) t)
(*.f64 (/.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (pow.f64 (cbrt.f64 t) 2)) (/.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (cbrt.f64 t)))
(*.f64 (/.f64 (sqrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) (cbrt.f64 t)) (/.f64 (sqrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) (pow.f64 (cbrt.f64 t) 2)))
(*.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))
(*.f64 (cbrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) 2) t))
(*.f64 (/.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) t) (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 2))
(*.f64 (cbrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) 2) t))
(*.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)))
(*.f64 (/.f64 (cbrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) (sqrt.f64 t)) (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) 2) (sqrt.f64 t)))
(*.f64 (pow.f64 (pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) 1/6) -3) (pow.f64 (pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) 1/6) -3))
(pow.f64 (pow.f64 (/.f64 t (log1p.f64 (*.f64 (expm1.f64 z) y))) 1/6) -6)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))))) 2) -3) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))))) -3))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 t (log1p.f64 (*.f64 (expm1.f64 z) y))))) 2) -3) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 t (log1p.f64 (*.f64 (expm1.f64 z) y))))) -3))
(*.f64 (pow.f64 t -1) (pow.f64 (/.f64 1 (log1p.f64 (*.f64 y (expm1.f64 z)))) -1))
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)
(*.f64 (pow.f64 (cbrt.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z))))) -1) (pow.f64 (pow.f64 (cbrt.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z))))) 2) -1))
(*.f64 (/.f64 1 (cbrt.f64 (/.f64 t (log1p.f64 (*.f64 (expm1.f64 z) y))))) (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 t (log1p.f64 (*.f64 (expm1.f64 z) y)))) 2)))
(/.f64 (/.f64 1 (cbrt.f64 (/.f64 t (log1p.f64 (*.f64 (expm1.f64 z) y))))) (pow.f64 (cbrt.f64 (/.f64 t (log1p.f64 (*.f64 (expm1.f64 z) y)))) 2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z))))) 2) -1) (pow.f64 (cbrt.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z))))) -1))
(*.f64 (/.f64 1 (cbrt.f64 (/.f64 t (log1p.f64 (*.f64 (expm1.f64 z) y))))) (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 t (log1p.f64 (*.f64 (expm1.f64 z) y)))) 2)))
(/.f64 (/.f64 1 (cbrt.f64 (/.f64 t (log1p.f64 (*.f64 (expm1.f64 z) y))))) (pow.f64 (cbrt.f64 (/.f64 t (log1p.f64 (*.f64 (expm1.f64 z) y)))) 2))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z))))) -1) (pow.f64 (sqrt.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z))))) -1))
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)
(*.f64 (/.f64 (sqrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 1) (sqrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)
(*.f64 (/.f64 -1 (neg.f64 t)) (log1p.f64 (*.f64 y (expm1.f64 z))))
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 2) 1) (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 2) (cbrt.f64 t)) (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))))
(*.f64 (cbrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) (/.f64 (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) 2) (cbrt.f64 t)))
(/.f64 (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) 2) (/.f64 (cbrt.f64 t) (cbrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 2) t) (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))))
(*.f64 (cbrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) 2) t))
(*.f64 (/.f64 1 (neg.f64 (neg.f64 t))) (neg.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))))
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)
(*.f64 (/.f64 1 (/.f64 t (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 2))) (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))))
(*.f64 (cbrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) (*.f64 (/.f64 1 t) (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) 2)))
(*.f64 (cbrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) (*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) 2) (/.f64 1 t)))
(*.f64 (/.f64 1 (/.f64 t 1)) (log1p.f64 (*.f64 y (expm1.f64 z))))
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)
(*.f64 (/.f64 (sqrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) (sqrt.f64 (neg.f64 t))) (sqrt.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))))
(*.f64 (sqrt.f64 (neg.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)))) (/.f64 (sqrt.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) (sqrt.f64 (neg.f64 t))))
(*.f64 (/.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) (/.f64 (pow.f64 (cbrt.f64 t) 2) (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))))) (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))))
(*.f64 (cbrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) (/.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) (/.f64 (pow.f64 (cbrt.f64 t) 2) (cbrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))))))
(*.f64 (/.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) (pow.f64 (cbrt.f64 t) 2)) (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) 2))
(*.f64 (/.f64 -1 (neg.f64 (neg.f64 t))) (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))))
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)
(*.f64 (/.f64 (/.f64 1 t) -1) (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))))
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)
(*.f64 (/.f64 (/.f64 1 t) (/.f64 1 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))))) (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))))
(*.f64 (sqrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) (/.f64 1 (/.f64 t (sqrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))))))
(*.f64 (sqrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) (*.f64 (sqrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) (/.f64 1 t)))
(*.f64 (/.f64 (/.f64 1 t) (/.f64 1 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 2))) (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))))
(*.f64 (cbrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) (*.f64 (/.f64 1 t) (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) 2)))
(*.f64 (cbrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) (*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) 2) (/.f64 1 t)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 2) (cbrt.f64 (neg.f64 t))) (cbrt.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))))
(*.f64 (cbrt.f64 (neg.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)))) (/.f64 (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) 2) (cbrt.f64 (neg.f64 t))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 2) (neg.f64 (cbrt.f64 t))) (neg.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))))
(*.f64 (neg.f64 (cbrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)))) (/.f64 (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) 2) (neg.f64 (cbrt.f64 t))))
(pow.f64 (cbrt.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z))))) -3)
(pow.f64 (cbrt.f64 (/.f64 t (log1p.f64 (*.f64 (expm1.f64 z) y)))) -3)
(pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) -1)
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)
(pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 1)
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)
(pow.f64 (sqrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 2)
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)
(pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 3)
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)
(pow.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 3) 1/3)
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)
(sqrt.f64 (pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) -2))
(sqrt.f64 (pow.f64 (/.f64 t (log1p.f64 (*.f64 (expm1.f64 z) y))) -2))
(log.f64 (exp.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))))
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)
(cbrt.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 3))
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)
(expm1.f64 (log1p.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)
(exp.f64 (log.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)
(exp.f64 (-.f64 (log.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (log.f64 t)))
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))))) -3))
(pow.f64 (cbrt.f64 (/.f64 t (log1p.f64 (*.f64 (expm1.f64 z) y)))) -3)
(exp.f64 (*.f64 (log.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z))))) -1))
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)
(exp.f64 (*.f64 (log.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 1))
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)
(log1p.f64 (expm1.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)

localize8.0ms (0%)

Local Accuracy

Found 1 expressions with local accuracy:

NewAccuracyProgram
92.2%
(*.f64 (/.f64 (neg.f64 y) t) z)
Compiler

Compiled 19 to 7 computations (63.2% saved)

series1.0ms (0%)

Counts
1 → 36
Calls

9 calls:

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

rewrite55.0ms (0.3%)

Algorithm
batch-egg-rewrite
Rules
1750×add-sqr-sqrt
1738×*-un-lft-identity
1612×add-cube-cbrt
1586×add-cbrt-cube
192×pow1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0917
118813
2259413
Stop Event
node limit
Counts
1 → 22
Calls
Call 1
Inputs
(*.f64 (/.f64 (neg.f64 y) t) z)
Outputs
(((-.f64 (exp.f64 (log1p.f64 (/.f64 y (/.f64 t z)))) 1) (2)) ((/.f64 y (/.f64 t z)) (2)) ((/.f64 z (/.f64 t y)) (2)) ((/.f64 1 (/.f64 t (*.f64 y z))) (2)) ((/.f64 (*.f64 y z) t) (2)) ((/.f64 (*.f64 y z) (neg.f64 t)) (2)) ((/.f64 (/.f64 (*.f64 y z) 1) t) (2)) ((/.f64 (/.f64 (*.f64 y z) (sqrt.f64 t)) (sqrt.f64 t)) (2)) ((/.f64 (/.f64 (*.f64 y z) (pow.f64 (cbrt.f64 t) 2)) (cbrt.f64 t)) (2)) ((pow.f64 (/.f64 y (/.f64 t z)) 1) (2)) ((pow.f64 (sqrt.f64 (/.f64 y (/.f64 t z))) 2) (2)) ((pow.f64 (cbrt.f64 (/.f64 y (/.f64 t z))) 3) (2)) ((pow.f64 (pow.f64 (/.f64 y (/.f64 t z)) 3) 1/3) (2)) ((neg.f64 (/.f64 y (/.f64 t z))) (2)) ((sqrt.f64 (pow.f64 (/.f64 y (/.f64 t z)) 2)) (2)) ((log.f64 (exp.f64 (/.f64 y (/.f64 t z)))) (2)) ((log.f64 (+.f64 1 (expm1.f64 (/.f64 y (/.f64 t z))))) (2)) ((cbrt.f64 (pow.f64 (/.f64 y (/.f64 t z)) 3)) (2)) ((expm1.f64 (log1p.f64 (/.f64 y (/.f64 t z)))) (2)) ((exp.f64 (log.f64 (/.f64 y (/.f64 t z)))) (2)) ((exp.f64 (*.f64 (log.f64 (/.f64 y (/.f64 t z))) 1)) (2)) ((log1p.f64 (expm1.f64 (/.f64 y (/.f64 t z)))) (2)))

simplify48.0ms (0.3%)

Algorithm
egg-herbie
Rules
1436×distribute-rgt-in
1422×distribute-lft-in
1192×associate-/r/
866×associate-*r*
816×associate-*l*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
056906
1129906
2538906
33738906
Stop Event
node limit
Counts
58 → 28
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))
(-.f64 (exp.f64 (log1p.f64 (/.f64 y (/.f64 t z)))) 1)
(/.f64 y (/.f64 t z))
(/.f64 z (/.f64 t y))
(/.f64 1 (/.f64 t (*.f64 y z)))
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) (neg.f64 t))
(/.f64 (/.f64 (*.f64 y z) 1) t)
(/.f64 (/.f64 (*.f64 y z) (sqrt.f64 t)) (sqrt.f64 t))
(/.f64 (/.f64 (*.f64 y z) (pow.f64 (cbrt.f64 t) 2)) (cbrt.f64 t))
(pow.f64 (/.f64 y (/.f64 t z)) 1)
(pow.f64 (sqrt.f64 (/.f64 y (/.f64 t z))) 2)
(pow.f64 (cbrt.f64 (/.f64 y (/.f64 t z))) 3)
(pow.f64 (pow.f64 (/.f64 y (/.f64 t z)) 3) 1/3)
(neg.f64 (/.f64 y (/.f64 t z)))
(sqrt.f64 (pow.f64 (/.f64 y (/.f64 t z)) 2))
(log.f64 (exp.f64 (/.f64 y (/.f64 t z))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 y (/.f64 t z)))))
(cbrt.f64 (pow.f64 (/.f64 y (/.f64 t z)) 3))
(expm1.f64 (log1p.f64 (/.f64 y (/.f64 t z))))
(exp.f64 (log.f64 (/.f64 y (/.f64 t z))))
(exp.f64 (*.f64 (log.f64 (/.f64 y (/.f64 t z))) 1))
(log1p.f64 (expm1.f64 (/.f64 y (/.f64 t z))))
Outputs
(*.f64 -1 (/.f64 (*.f64 y z) t))
(/.f64 (neg.f64 y) (/.f64 t z))
(*.f64 (/.f64 y t) (neg.f64 z))
(/.f64 (neg.f64 z) (/.f64 t y))
(*.f64 z (neg.f64 (/.f64 y t)))
(*.f64 -1 (/.f64 (*.f64 y z) t))
(/.f64 (neg.f64 y) (/.f64 t z))
(*.f64 (/.f64 y t) (neg.f64 z))
(/.f64 (neg.f64 z) (/.f64 t y))
(*.f64 z (neg.f64 (/.f64 y t)))
(*.f64 -1 (/.f64 (*.f64 y z) t))
(/.f64 (neg.f64 y) (/.f64 t z))
(*.f64 (/.f64 y t) (neg.f64 z))
(/.f64 (neg.f64 z) (/.f64 t y))
(*.f64 z (neg.f64 (/.f64 y t)))
(*.f64 -1 (/.f64 (*.f64 y z) t))
(/.f64 (neg.f64 y) (/.f64 t z))
(*.f64 (/.f64 y t) (neg.f64 z))
(/.f64 (neg.f64 z) (/.f64 t y))
(*.f64 z (neg.f64 (/.f64 y t)))
(*.f64 -1 (/.f64 (*.f64 y z) t))
(/.f64 (neg.f64 y) (/.f64 t z))
(*.f64 (/.f64 y t) (neg.f64 z))
(/.f64 (neg.f64 z) (/.f64 t y))
(*.f64 z (neg.f64 (/.f64 y t)))
(*.f64 -1 (/.f64 (*.f64 y z) t))
(/.f64 (neg.f64 y) (/.f64 t z))
(*.f64 (/.f64 y t) (neg.f64 z))
(/.f64 (neg.f64 z) (/.f64 t y))
(*.f64 z (neg.f64 (/.f64 y t)))
(*.f64 -1 (/.f64 (*.f64 y z) t))
(/.f64 (neg.f64 y) (/.f64 t z))
(*.f64 (/.f64 y t) (neg.f64 z))
(/.f64 (neg.f64 z) (/.f64 t y))
(*.f64 z (neg.f64 (/.f64 y t)))
(*.f64 -1 (/.f64 (*.f64 y z) t))
(/.f64 (neg.f64 y) (/.f64 t z))
(*.f64 (/.f64 y t) (neg.f64 z))
(/.f64 (neg.f64 z) (/.f64 t y))
(*.f64 z (neg.f64 (/.f64 y t)))
(*.f64 -1 (/.f64 (*.f64 y z) t))
(/.f64 (neg.f64 y) (/.f64 t z))
(*.f64 (/.f64 y t) (neg.f64 z))
(/.f64 (neg.f64 z) (/.f64 t y))
(*.f64 z (neg.f64 (/.f64 y t)))
(*.f64 -1 (/.f64 (*.f64 y z) t))
(/.f64 (neg.f64 y) (/.f64 t z))
(*.f64 (/.f64 y t) (neg.f64 z))
(/.f64 (neg.f64 z) (/.f64 t y))
(*.f64 z (neg.f64 (/.f64 y t)))
(*.f64 -1 (/.f64 (*.f64 y z) t))
(/.f64 (neg.f64 y) (/.f64 t z))
(*.f64 (/.f64 y t) (neg.f64 z))
(/.f64 (neg.f64 z) (/.f64 t y))
(*.f64 z (neg.f64 (/.f64 y t)))
(*.f64 -1 (/.f64 (*.f64 y z) t))
(/.f64 (neg.f64 y) (/.f64 t z))
(*.f64 (/.f64 y t) (neg.f64 z))
(/.f64 (neg.f64 z) (/.f64 t y))
(*.f64 z (neg.f64 (/.f64 y t)))
(*.f64 -1 (/.f64 (*.f64 y z) t))
(/.f64 (neg.f64 y) (/.f64 t z))
(*.f64 (/.f64 y t) (neg.f64 z))
(/.f64 (neg.f64 z) (/.f64 t y))
(*.f64 z (neg.f64 (/.f64 y t)))
(*.f64 -1 (/.f64 (*.f64 y z) t))
(/.f64 (neg.f64 y) (/.f64 t z))
(*.f64 (/.f64 y t) (neg.f64 z))
(/.f64 (neg.f64 z) (/.f64 t y))
(*.f64 z (neg.f64 (/.f64 y t)))
(*.f64 -1 (/.f64 (*.f64 y z) t))
(/.f64 (neg.f64 y) (/.f64 t z))
(*.f64 (/.f64 y t) (neg.f64 z))
(/.f64 (neg.f64 z) (/.f64 t y))
(*.f64 z (neg.f64 (/.f64 y t)))
(*.f64 -1 (/.f64 (*.f64 y z) t))
(/.f64 (neg.f64 y) (/.f64 t z))
(*.f64 (/.f64 y t) (neg.f64 z))
(/.f64 (neg.f64 z) (/.f64 t y))
(*.f64 z (neg.f64 (/.f64 y t)))
(*.f64 -1 (/.f64 (*.f64 y z) t))
(/.f64 (neg.f64 y) (/.f64 t z))
(*.f64 (/.f64 y t) (neg.f64 z))
(/.f64 (neg.f64 z) (/.f64 t y))
(*.f64 z (neg.f64 (/.f64 y t)))
(*.f64 -1 (/.f64 (*.f64 y z) t))
(/.f64 (neg.f64 y) (/.f64 t z))
(*.f64 (/.f64 y t) (neg.f64 z))
(/.f64 (neg.f64 z) (/.f64 t y))
(*.f64 z (neg.f64 (/.f64 y t)))
(*.f64 -1 (/.f64 (*.f64 y z) t))
(/.f64 (neg.f64 y) (/.f64 t z))
(*.f64 (/.f64 y t) (neg.f64 z))
(/.f64 (neg.f64 z) (/.f64 t y))
(*.f64 z (neg.f64 (/.f64 y t)))
(*.f64 -1 (/.f64 (*.f64 y z) t))
(/.f64 (neg.f64 y) (/.f64 t z))
(*.f64 (/.f64 y t) (neg.f64 z))
(/.f64 (neg.f64 z) (/.f64 t y))
(*.f64 z (neg.f64 (/.f64 y t)))
(*.f64 -1 (/.f64 (*.f64 y z) t))
(/.f64 (neg.f64 y) (/.f64 t z))
(*.f64 (/.f64 y t) (neg.f64 z))
(/.f64 (neg.f64 z) (/.f64 t y))
(*.f64 z (neg.f64 (/.f64 y t)))
(*.f64 -1 (/.f64 (*.f64 y z) t))
(/.f64 (neg.f64 y) (/.f64 t z))
(*.f64 (/.f64 y t) (neg.f64 z))
(/.f64 (neg.f64 z) (/.f64 t y))
(*.f64 z (neg.f64 (/.f64 y t)))
(*.f64 -1 (/.f64 (*.f64 y z) t))
(/.f64 (neg.f64 y) (/.f64 t z))
(*.f64 (/.f64 y t) (neg.f64 z))
(/.f64 (neg.f64 z) (/.f64 t y))
(*.f64 z (neg.f64 (/.f64 y t)))
(*.f64 -1 (/.f64 (*.f64 y z) t))
(/.f64 (neg.f64 y) (/.f64 t z))
(*.f64 (/.f64 y t) (neg.f64 z))
(/.f64 (neg.f64 z) (/.f64 t y))
(*.f64 z (neg.f64 (/.f64 y t)))
(*.f64 -1 (/.f64 (*.f64 y z) t))
(/.f64 (neg.f64 y) (/.f64 t z))
(*.f64 (/.f64 y t) (neg.f64 z))
(/.f64 (neg.f64 z) (/.f64 t y))
(*.f64 z (neg.f64 (/.f64 y t)))
(*.f64 -1 (/.f64 (*.f64 y z) t))
(/.f64 (neg.f64 y) (/.f64 t z))
(*.f64 (/.f64 y t) (neg.f64 z))
(/.f64 (neg.f64 z) (/.f64 t y))
(*.f64 z (neg.f64 (/.f64 y t)))
(*.f64 -1 (/.f64 (*.f64 y z) t))
(/.f64 (neg.f64 y) (/.f64 t z))
(*.f64 (/.f64 y t) (neg.f64 z))
(/.f64 (neg.f64 z) (/.f64 t y))
(*.f64 z (neg.f64 (/.f64 y t)))
(*.f64 -1 (/.f64 (*.f64 y z) t))
(/.f64 (neg.f64 y) (/.f64 t z))
(*.f64 (/.f64 y t) (neg.f64 z))
(/.f64 (neg.f64 z) (/.f64 t y))
(*.f64 z (neg.f64 (/.f64 y t)))
(*.f64 -1 (/.f64 (*.f64 y z) t))
(/.f64 (neg.f64 y) (/.f64 t z))
(*.f64 (/.f64 y t) (neg.f64 z))
(/.f64 (neg.f64 z) (/.f64 t y))
(*.f64 z (neg.f64 (/.f64 y t)))
(*.f64 -1 (/.f64 (*.f64 y z) t))
(/.f64 (neg.f64 y) (/.f64 t z))
(*.f64 (/.f64 y t) (neg.f64 z))
(/.f64 (neg.f64 z) (/.f64 t y))
(*.f64 z (neg.f64 (/.f64 y t)))
(*.f64 -1 (/.f64 (*.f64 y z) t))
(/.f64 (neg.f64 y) (/.f64 t z))
(*.f64 (/.f64 y t) (neg.f64 z))
(/.f64 (neg.f64 z) (/.f64 t y))
(*.f64 z (neg.f64 (/.f64 y t)))
(*.f64 -1 (/.f64 (*.f64 y z) t))
(/.f64 (neg.f64 y) (/.f64 t z))
(*.f64 (/.f64 y t) (neg.f64 z))
(/.f64 (neg.f64 z) (/.f64 t y))
(*.f64 z (neg.f64 (/.f64 y t)))
(*.f64 -1 (/.f64 (*.f64 y z) t))
(/.f64 (neg.f64 y) (/.f64 t z))
(*.f64 (/.f64 y t) (neg.f64 z))
(/.f64 (neg.f64 z) (/.f64 t y))
(*.f64 z (neg.f64 (/.f64 y t)))
(*.f64 -1 (/.f64 (*.f64 y z) t))
(/.f64 (neg.f64 y) (/.f64 t z))
(*.f64 (/.f64 y t) (neg.f64 z))
(/.f64 (neg.f64 z) (/.f64 t y))
(*.f64 z (neg.f64 (/.f64 y t)))
(*.f64 -1 (/.f64 (*.f64 y z) t))
(/.f64 (neg.f64 y) (/.f64 t z))
(*.f64 (/.f64 y t) (neg.f64 z))
(/.f64 (neg.f64 z) (/.f64 t y))
(*.f64 z (neg.f64 (/.f64 y t)))
(*.f64 -1 (/.f64 (*.f64 y z) t))
(/.f64 (neg.f64 y) (/.f64 t z))
(*.f64 (/.f64 y t) (neg.f64 z))
(/.f64 (neg.f64 z) (/.f64 t y))
(*.f64 z (neg.f64 (/.f64 y t)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 y (/.f64 t z)))) 1)
(/.f64 y (/.f64 t z))
(*.f64 y (/.f64 z t))
(/.f64 y (/.f64 t z))
(*.f64 y (/.f64 z t))
(/.f64 z (/.f64 t y))
(/.f64 y (/.f64 t z))
(*.f64 y (/.f64 z t))
(/.f64 1 (/.f64 t (*.f64 y z)))
(/.f64 y (/.f64 t z))
(*.f64 y (/.f64 z t))
(/.f64 (*.f64 y z) t)
(/.f64 y (/.f64 t z))
(*.f64 y (/.f64 z t))
(/.f64 (*.f64 y z) (neg.f64 t))
(/.f64 (neg.f64 y) (/.f64 t z))
(*.f64 (/.f64 y t) (neg.f64 z))
(/.f64 (neg.f64 z) (/.f64 t y))
(*.f64 z (neg.f64 (/.f64 y t)))
(/.f64 (/.f64 (*.f64 y z) 1) t)
(/.f64 y (/.f64 t z))
(*.f64 y (/.f64 z t))
(/.f64 (/.f64 (*.f64 y z) (sqrt.f64 t)) (sqrt.f64 t))
(/.f64 y (/.f64 t z))
(*.f64 y (/.f64 z t))
(/.f64 (/.f64 (*.f64 y z) (pow.f64 (cbrt.f64 t) 2)) (cbrt.f64 t))
(/.f64 y (/.f64 t z))
(*.f64 y (/.f64 z t))
(pow.f64 (/.f64 y (/.f64 t z)) 1)
(/.f64 y (/.f64 t z))
(*.f64 y (/.f64 z t))
(pow.f64 (sqrt.f64 (/.f64 y (/.f64 t z))) 2)
(/.f64 y (/.f64 t z))
(*.f64 y (/.f64 z t))
(pow.f64 (cbrt.f64 (/.f64 y (/.f64 t z))) 3)
(/.f64 y (/.f64 t z))
(*.f64 y (/.f64 z t))
(pow.f64 (pow.f64 (/.f64 y (/.f64 t z)) 3) 1/3)
(/.f64 y (/.f64 t z))
(*.f64 y (/.f64 z t))
(neg.f64 (/.f64 y (/.f64 t z)))
(/.f64 (neg.f64 y) (/.f64 t z))
(*.f64 (/.f64 y t) (neg.f64 z))
(/.f64 (neg.f64 z) (/.f64 t y))
(*.f64 z (neg.f64 (/.f64 y t)))
(sqrt.f64 (pow.f64 (/.f64 y (/.f64 t z)) 2))
(/.f64 y (/.f64 t z))
(*.f64 y (/.f64 z t))
(log.f64 (exp.f64 (/.f64 y (/.f64 t z))))
(/.f64 y (/.f64 t z))
(*.f64 y (/.f64 z t))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 y (/.f64 t z)))))
(/.f64 y (/.f64 t z))
(*.f64 y (/.f64 z t))
(cbrt.f64 (pow.f64 (/.f64 y (/.f64 t z)) 3))
(/.f64 y (/.f64 t z))
(*.f64 y (/.f64 z t))
(expm1.f64 (log1p.f64 (/.f64 y (/.f64 t z))))
(/.f64 y (/.f64 t z))
(*.f64 y (/.f64 z t))
(exp.f64 (log.f64 (/.f64 y (/.f64 t z))))
(/.f64 y (/.f64 t z))
(*.f64 y (/.f64 z t))
(exp.f64 (*.f64 (log.f64 (/.f64 y (/.f64 t z))) 1))
(/.f64 y (/.f64 t z))
(*.f64 y (/.f64 z t))
(log1p.f64 (expm1.f64 (/.f64 y (/.f64 t z))))
(/.f64 y (/.f64 t z))
(*.f64 y (/.f64 z t))

localize18.0ms (0.1%)

Local Accuracy

Found 2 expressions with local accuracy:

NewAccuracyProgram
98.8%
(/.f64 1 (/.f64 (neg.f64 t) z))
94.7%
(*.f64 (neg.f64 y) (/.f64 1 (/.f64 (neg.f64 t) z)))
Compiler

Compiled 41 to 17 computations (58.5% saved)

series4.0ms (0%)

Counts
2 → 60
Calls

15 calls:

TimeVariablePointExpression
2.0ms
z
@0
(/.f64 1 (/.f64 (neg.f64 t) z))
0.0ms
t
@0
(/.f64 1 (/.f64 (neg.f64 t) z))
0.0ms
z
@inf
(/.f64 1 (/.f64 (neg.f64 t) z))
0.0ms
z
@-inf
(/.f64 1 (/.f64 (neg.f64 t) z))
0.0ms
t
@inf
(/.f64 1 (/.f64 (neg.f64 t) z))

rewrite74.0ms (0.4%)

Algorithm
batch-egg-rewrite
Rules
1404×associate-/l*
1298×associate-*r/
1010×*-commutative
896×associate-*l/
558×associate-/r/
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01238
125120
2345120
Stop Event
node limit
Counts
2 → 188
Calls
Call 1
Inputs
(*.f64 (neg.f64 y) (/.f64 1 (/.f64 (neg.f64 t) z)))
(/.f64 1 (/.f64 (neg.f64 t) z))
Outputs
(((+.f64 0 (/.f64 (*.f64 y z) t)) (2)) ((+.f64 (-.f64 0 (exp.f64 (log1p.f64 (/.f64 (*.f64 y z) t)))) 1) (2)) ((+.f64 (-.f64 0 (*.f64 0 (/.f64 z t))) (/.f64 (*.f64 y z) t)) (2)) ((+.f64 (-.f64 (*.f64 0 (/.f64 z t)) 0) (/.f64 (*.f64 y z) t)) (2)) ((+.f64 (-.f64 (*.f64 0 (/.f64 z t)) (exp.f64 (log1p.f64 (/.f64 (*.f64 y z) t)))) 1) (2)) ((+.f64 (-.f64 (*.f64 0 (/.f64 z t)) (*.f64 0 (/.f64 z t))) (/.f64 (*.f64 y z) t)) (2)) ((+.f64 (*.f64 (/.f64 z t) 0) (/.f64 (*.f64 y z) t)) (2)) ((-.f64 0 (/.f64 (*.f64 y z) t)) (2)) ((-.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 y z) t))) 1) (2)) ((-.f64 (*.f64 0 (/.f64 z t)) (/.f64 (*.f64 y z) t)) (2)) ((/.f64 y (/.f64 t z)) (2)) ((/.f64 1 (/.f64 t (*.f64 y z))) (2)) ((/.f64 1 (/.f64 (/.f64 t (*.f64 (sqrt.f64 y) z)) (sqrt.f64 y))) (2)) ((/.f64 1 (/.f64 (/.f64 t (*.f64 (cbrt.f64 y) z)) (pow.f64 (cbrt.f64 y) 2))) (2)) ((/.f64 (/.f64 (*.f64 y z) t) 1) (2)) ((/.f64 (sqrt.f64 y) (/.f64 t (*.f64 (sqrt.f64 y) z))) (2)) ((/.f64 (sqrt.f64 y) (/.f64 (/.f64 t z) (neg.f64 (sqrt.f64 y)))) (2)) ((/.f64 (cbrt.f64 y) (/.f64 (/.f64 t z) (pow.f64 (cbrt.f64 y) 2))) (2)) ((/.f64 (cbrt.f64 y) (/.f64 (/.f64 t (*.f64 (sqrt.f64 y) z)) (cbrt.f64 (sqrt.f64 y)))) (2)) ((/.f64 (cbrt.f64 y) (/.f64 (/.f64 t (*.f64 (cbrt.f64 y) z)) (cbrt.f64 y))) (2)) ((/.f64 (pow.f64 (cbrt.f64 y) 2) (/.f64 t (*.f64 (cbrt.f64 y) z))) (2)) ((/.f64 (pow.f64 (cbrt.f64 y) 2) (/.f64 (/.f64 t z) (neg.f64 (cbrt.f64 y)))) (2)) ((/.f64 -1 (/.f64 t (*.f64 y z))) (2)) ((/.f64 (sqrt.f64 -1) (/.f64 (/.f64 t (*.f64 (sqrt.f64 y) z)) (sqrt.f64 y))) (2)) ((/.f64 (sqrt.f64 (sqrt.f64 y)) (/.f64 (/.f64 t (*.f64 (sqrt.f64 y) z)) (sqrt.f64 (sqrt.f64 y)))) (2)) ((/.f64 (sqrt.f64 (pow.f64 (cbrt.f64 y) 2)) (/.f64 (/.f64 t (*.f64 (sqrt.f64 y) z)) (sqrt.f64 (cbrt.f64 y)))) (2)) ((/.f64 (sqrt.f64 (pow.f64 (cbrt.f64 y) 2)) (/.f64 (/.f64 t (*.f64 (cbrt.f64 y) z)) (sqrt.f64 (pow.f64 (cbrt.f64 y) 2)))) (2)) ((/.f64 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 y) 2))) (/.f64 (/.f64 t 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simplify102.0ms (0.6%)

Algorithm
egg-herbie
Rules
1442×distribute-lft-in
1428×distribute-rgt-in
794×associate-/l*
576×associate-*r*
460×associate-*l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
04204616
111514458
249094458
Stop Event
node limit
Counts
248 → 286
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 z t))
(*.f64 -1 (/.f64 z t))
(*.f64 -1 (/.f64 z t))
(*.f64 -1 (/.f64 z t))
(*.f64 -1 (/.f64 z t))
(*.f64 -1 (/.f64 z t))
(*.f64 -1 (/.f64 z t))
(*.f64 -1 (/.f64 z t))
(*.f64 -1 (/.f64 z t))
(*.f64 -1 (/.f64 z t))
(*.f64 -1 (/.f64 z t))
(*.f64 -1 (/.f64 z t))
(*.f64 -1 (/.f64 z t))
(*.f64 -1 (/.f64 z t))
(*.f64 -1 (/.f64 z t))
(*.f64 -1 (/.f64 z t))
(*.f64 -1 (/.f64 z t))
(*.f64 -1 (/.f64 z t))
(*.f64 -1 (/.f64 z t))
(*.f64 -1 (/.f64 z t))
(*.f64 -1 (/.f64 z t))
(*.f64 -1 (/.f64 z t))
(*.f64 -1 (/.f64 z t))
(*.f64 -1 (/.f64 z t))
(+.f64 0 (/.f64 (*.f64 y z) t))
(+.f64 (-.f64 0 (exp.f64 (log1p.f64 (/.f64 (*.f64 y z) t)))) 1)
(+.f64 (-.f64 0 (*.f64 0 (/.f64 z t))) (/.f64 (*.f64 y z) t))
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(+.f64 (-.f64 (*.f64 0 (/.f64 z t)) (exp.f64 (log1p.f64 (/.f64 (*.f64 y z) t)))) 1)
(+.f64 (-.f64 (*.f64 0 (/.f64 z t)) (*.f64 0 (/.f64 z t))) (/.f64 (*.f64 y z) t))
(+.f64 (*.f64 (/.f64 z t) 0) (/.f64 (*.f64 y z) t))
(-.f64 0 (/.f64 (*.f64 y z) t))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 y z) t))) 1)
(-.f64 (*.f64 0 (/.f64 z t)) (/.f64 (*.f64 y z) t))
(/.f64 y (/.f64 t z))
(/.f64 1 (/.f64 t (*.f64 y z)))
(/.f64 1 (/.f64 (/.f64 t (*.f64 (sqrt.f64 y) z)) (sqrt.f64 y)))
(/.f64 1 (/.f64 (/.f64 t (*.f64 (cbrt.f64 y) z)) (pow.f64 (cbrt.f64 y) 2)))
(/.f64 (/.f64 (*.f64 y z) t) 1)
(/.f64 (sqrt.f64 y) (/.f64 t (*.f64 (sqrt.f64 y) z)))
(/.f64 (sqrt.f64 y) (/.f64 (/.f64 t z) (neg.f64 (sqrt.f64 y))))
(/.f64 (cbrt.f64 y) (/.f64 (/.f64 t z) (pow.f64 (cbrt.f64 y) 2)))
(/.f64 (cbrt.f64 y) (/.f64 (/.f64 t (*.f64 (sqrt.f64 y) z)) (cbrt.f64 (sqrt.f64 y))))
(/.f64 (cbrt.f64 y) (/.f64 (/.f64 t (*.f64 (cbrt.f64 y) z)) (cbrt.f64 y)))
(/.f64 (pow.f64 (cbrt.f64 y) 2) (/.f64 t (*.f64 (cbrt.f64 y) z)))
(/.f64 (pow.f64 (cbrt.f64 y) 2) (/.f64 (/.f64 t z) (neg.f64 (cbrt.f64 y))))
(/.f64 -1 (/.f64 t (*.f64 y z)))
(/.f64 (sqrt.f64 -1) (/.f64 (/.f64 t (*.f64 (sqrt.f64 y) z)) (sqrt.f64 y)))
(/.f64 (sqrt.f64 (sqrt.f64 y)) (/.f64 (/.f64 t (*.f64 (sqrt.f64 y) z)) (sqrt.f64 (sqrt.f64 y))))
(/.f64 (sqrt.f64 (pow.f64 (cbrt.f64 y) 2)) (/.f64 (/.f64 t (*.f64 (sqrt.f64 y) z)) (sqrt.f64 (cbrt.f64 y))))
(/.f64 (sqrt.f64 (pow.f64 (cbrt.f64 y) 2)) (/.f64 (/.f64 t (*.f64 (cbrt.f64 y) z)) (sqrt.f64 (pow.f64 (cbrt.f64 y) 2))))
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 y) 2))) (/.f64 (/.f64 t (*.f64 (cbrt.f64 y) z)) (cbrt.f64 (pow.f64 (cbrt.f64 y) 2))))
(/.f64 (*.f64 (sqrt.f64 y) -1) (/.f64 t (*.f64 (sqrt.f64 y) z)))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 y) 2) -1) (/.f64 t (*.f64 (cbrt.f64 y) z)))
(/.f64 (/.f64 y t) (/.f64 1 z))
(/.f64 (*.f64 y (sqrt.f64 (/.f64 z t))) (sqrt.f64 (/.f64 t z)))
(/.f64 (/.f64 y (pow.f64 (cbrt.f64 (/.f64 t z)) 2)) (cbrt.f64 (/.f64 t z)))
(/.f64 (neg.f64 (sqrt.f64 y)) (/.f64 t (*.f64 (sqrt.f64 y) z)))
(/.f64 (neg.f64 (pow.f64 (cbrt.f64 y) 2)) (/.f64 t (*.f64 (cbrt.f64 y) z)))
(/.f64 (-.f64 0 (*.f64 y y)) (*.f64 (/.f64 t z) y))
(/.f64 (-.f64 0 (pow.f64 y 3)) (*.f64 (/.f64 t z) (+.f64 (*.f64 y y) 0)))
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y (cbrt.f64 (/.f64 z t))) (pow.f64 (cbrt.f64 (/.f64 t z)) 2))
(/.f64 (*.f64 y (sqrt.f64 z)) (/.f64 t (sqrt.f64 z)))
(/.f64 (*.f64 y (pow.f64 (cbrt.f64 z) 2)) (/.f64 t (cbrt.f64 z)))
(/.f64 (*.f64 y (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 t z)) 2))) (cbrt.f64 (/.f64 t z)))
(/.f64 (*.f64 y (/.f64 z (sqrt.f64 t))) (sqrt.f64 t))
(/.f64 (*.f64 y (/.f64 z (pow.f64 (cbrt.f64 t) 2))) (cbrt.f64 t))
(/.f64 (*.f64 y (/.f64 z -1)) t)
(/.f64 (*.f64 1 (/.f64 y t)) (/.f64 1 z))
(/.f64 (*.f64 1 (*.f64 y (sqrt.f64 (/.f64 z t)))) (sqrt.f64 (/.f64 t z)))
(/.f64 (*.f64 1 (/.f64 y (pow.f64 (cbrt.f64 (/.f64 t z)) 2))) (cbrt.f64 (/.f64 t z)))
(/.f64 (*.f64 (/.f64 z t) (-.f64 0 (*.f64 y y))) y)
(/.f64 (*.f64 (/.f64 z t) (-.f64 0 (pow.f64 y 3))) (+.f64 (*.f64 y y) 0))
(/.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 y z) t)) (sqrt.f64 y)) (sqrt.f64 (/.f64 t z)))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (/.f64 (*.f64 y z) t)) 2) (cbrt.f64 y)) (cbrt.f64 (/.f64 t z)))
(/.f64 (*.f64 -1 (/.f64 y t)) (/.f64 1 z))
(/.f64 (*.f64 -1 (*.f64 y (sqrt.f64 (/.f64 z t)))) (sqrt.f64 (/.f64 t z)))
(/.f64 (*.f64 -1 (/.f64 y (pow.f64 (cbrt.f64 (/.f64 t z)) 2))) (cbrt.f64 (/.f64 t z)))
(/.f64 (*.f64 (*.f64 y (pow.f64 (cbrt.f64 (/.f64 z t)) 2)) 1) (cbrt.f64 (/.f64 t z)))
(/.f64 (*.f64 (*.f64 y (pow.f64 (cbrt.f64 (/.f64 z t)) 2)) -1) (cbrt.f64 (/.f64 t z)))
(/.f64 (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 t z)) 2)) y) (cbrt.f64 (/.f64 t z)))
(/.f64 (*.f64 (/.f64 y t) 1) (/.f64 1 z))
(/.f64 (*.f64 (*.f64 y (sqrt.f64 (/.f64 z t))) 1) (sqrt.f64 (/.f64 t z)))
(/.f64 (*.f64 (*.f64 y (sqrt.f64 (/.f64 z t))) (sqrt.f64 -1)) (sqrt.f64 (/.f64 t z)))
(/.f64 (*.f64 (/.f64 y (pow.f64 (cbrt.f64 (/.f64 t z)) 2)) 1) (cbrt.f64 (/.f64 t z)))
(/.f64 (*.f64 (/.f64 y (pow.f64 (cbrt.f64 (/.f64 t z)) 2)) -1) (cbrt.f64 (/.f64 t z)))
(/.f64 (*.f64 (/.f64 (sqrt.f64 y) 1) (sqrt.f64 y)) (/.f64 t z))
(/.f64 (*.f64 (/.f64 (sqrt.f64 y) t) (sqrt.f64 y)) (/.f64 1 z))
(/.f64 (*.f64 (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 (/.f64 t z)) 2)) (sqrt.f64 y)) (cbrt.f64 (/.f64 t z)))
(/.f64 (*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) 1) (cbrt.f64 y)) (/.f64 t z))
(/.f64 (*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) t) (cbrt.f64 y)) (/.f64 1 z))
(/.f64 (*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (sqrt.f64 (/.f64 t z))) (cbrt.f64 y)) (sqrt.f64 (/.f64 t z)))
(/.f64 (*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (cbrt.f64 (/.f64 t z)) 2)) (cbrt.f64 y)) (cbrt.f64 (/.f64 t z)))
(/.f64 (*.f64 (*.f64 -1 (sqrt.f64 (/.f64 z t))) y) (sqrt.f64 (/.f64 t z)))
(/.f64 (*.f64 (/.f64 -1 (pow.f64 (cbrt.f64 (/.f64 t z)) 2)) y) (cbrt.f64 (/.f64 t z)))
(/.f64 (*.f64 (-.f64 0 (*.f64 y y)) (/.f64 z t)) y)
(/.f64 (*.f64 (-.f64 0 (pow.f64 y 3)) (/.f64 z t)) (+.f64 (*.f64 y y) 0))
(/.f64 (*.f64 (-.f64 0 (*.f64 y y)) (neg.f64 (/.f64 z t))) y)
(/.f64 (*.f64 (-.f64 0 (pow.f64 y 3)) (neg.f64 (/.f64 z t))) (+.f64 (*.f64 y y) 0))
(/.f64 (*.f64 (sqrt.f64 z) y) (/.f64 t (sqrt.f64 z)))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 z) 2) y) (/.f64 t (cbrt.f64 z)))
(/.f64 (*.f64 (neg.f64 z) y) t)
(/.f64 (*.f64 (/.f64 z (sqrt.f64 t)) y) (sqrt.f64 t))
(/.f64 (*.f64 (/.f64 z (pow.f64 (cbrt.f64 t) 2)) y) (cbrt.f64 t))
(/.f64 (*.f64 (/.f64 z -1) y) t)
(/.f64 (*.f64 (sqrt.f64 -1) (*.f64 y (sqrt.f64 (/.f64 z t)))) (sqrt.f64 (/.f64 t z)))
(/.f64 (*.f64 (sqrt.f64 y) (sqrt.f64 (/.f64 (*.f64 y z) t))) (sqrt.f64 (/.f64 t z)))
(/.f64 (*.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 (/.f64 (*.f64 y z) t)) 2)) (cbrt.f64 (/.f64 t z)))
(/.f64 (*.f64 1 (*.f64 y z)) t)
(/.f64 (*.f64 -1 (*.f64 y z)) t)
(/.f64 (*.f64 (/.f64 1 (sqrt.f64 t)) (*.f64 y z)) (sqrt.f64 t))
(/.f64 (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 t) 2)) (*.f64 y z)) (cbrt.f64 t))
(/.f64 (*.f64 1 (*.f64 y (cbrt.f64 (/.f64 z t)))) (pow.f64 (cbrt.f64 (/.f64 t z)) 2))
(/.f64 (*.f64 (sqrt.f64 y) (*.f64 (/.f64 (sqrt.f64 y) 1) z)) t)
(/.f64 (*.f64 (sqrt.f64 y) (/.f64 (sqrt.f64 y) (cbrt.f64 (/.f64 t z)))) (pow.f64 (cbrt.f64 (/.f64 t z)) 2))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 y) 2) (/.f64 (cbrt.f64 y) (/.f64 1 z))) t)
(/.f64 (*.f64 (pow.f64 (cbrt.f64 y) 2) (/.f64 (cbrt.f64 y) (sqrt.f64 (/.f64 t z)))) (sqrt.f64 (/.f64 t z)))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 y) 2) (cbrt.f64 (/.f64 (*.f64 y z) t))) (pow.f64 (cbrt.f64 (/.f64 t z)) 2))
(/.f64 (*.f64 -1 (*.f64 y (cbrt.f64 (/.f64 z t)))) (pow.f64 (cbrt.f64 (/.f64 t z)) 2))
(pow.f64 (/.f64 (*.f64 y z) t) 1)
(pow.f64 (sqrt.f64 (/.f64 (*.f64 y z) t)) 2)
(pow.f64 (cbrt.f64 (/.f64 (*.f64 y z) t)) 3)
(pow.f64 (pow.f64 (/.f64 (*.f64 y z) t) 3) 1/3)
(neg.f64 (/.f64 (*.f64 y z) t))
(sqrt.f64 (pow.f64 (/.f64 (*.f64 y z) t) 2))
(log.f64 (pow.f64 (exp.f64 y) (/.f64 z t)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (*.f64 y z) t))))
(cbrt.f64 (pow.f64 (/.f64 (*.f64 y z) t) 3))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 z t) 3) (pow.f64 y 3)))
(expm1.f64 (log1p.f64 (/.f64 (*.f64 y z) t)))
(exp.f64 (log.f64 (/.f64 (*.f64 y z) t)))
(log1p.f64 (expm1.f64 (/.f64 (*.f64 y z) t)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 z t))) 1)
(*.f64 1 (/.f64 z t))
(*.f64 1 (neg.f64 (/.f64 z t)))
(*.f64 z (/.f64 1 t))
(*.f64 (/.f64 z t) 1)
(*.f64 (/.f64 z t) -1)
(*.f64 (sqrt.f64 (/.f64 z t)) (sqrt.f64 (/.f64 z t)))
(*.f64 (sqrt.f64 z) (/.f64 (sqrt.f64 z) t))
(*.f64 (cbrt.f64 (/.f64 z t)) (pow.f64 (cbrt.f64 (/.f64 z t)) 2))
(*.f64 (cbrt.f64 (/.f64 z t)) (/.f64 (pow.f64 (cbrt.f64 z) 2) (pow.f64 (cbrt.f64 t) 2)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 z t)) 2) (cbrt.f64 (/.f64 z t)))
(*.f64 (cbrt.f64 z) (/.f64 (pow.f64 (cbrt.f64 z) 2) t))
(*.f64 (/.f64 1 t) z)
(*.f64 (/.f64 1 t) (neg.f64 z))
(*.f64 (/.f64 1 t) (neg.f64 (neg.f64 z)))
(*.f64 (/.f64 1 t) (pow.f64 (/.f64 1 z) -1))
(*.f64 -1 (/.f64 z t))
(*.f64 -1 (neg.f64 (/.f64 z t)))
(*.f64 (neg.f64 z) (/.f64 1 t))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 z) 2) t) (cbrt.f64 z))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 t z)) 2)) (cbrt.f64 (/.f64 z t)))
(*.f64 (/.f64 1 (sqrt.f64 t)) (/.f64 z (sqrt.f64 t)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 t) 2)) (/.f64 z (cbrt.f64 t)))
(*.f64 (/.f64 z (sqrt.f64 t)) (/.f64 1 (sqrt.f64 t)))
(*.f64 (/.f64 z (cbrt.f64 t)) (/.f64 1 (pow.f64 (cbrt.f64 t) 2)))
(*.f64 (*.f64 -1 (sqrt.f64 (/.f64 z t))) (sqrt.f64 (/.f64 z t)))
(*.f64 (/.f64 -1 (pow.f64 (cbrt.f64 (/.f64 t z)) 2)) (cbrt.f64 (/.f64 z t)))
(*.f64 (/.f64 (sqrt.f64 z) 1) (/.f64 (sqrt.f64 z) t))
(*.f64 (/.f64 (sqrt.f64 z) (pow.f64 (cbrt.f64 t) 2)) (/.f64 (sqrt.f64 z) (cbrt.f64 t)))
(*.f64 (/.f64 (sqrt.f64 z) (cbrt.f64 t)) (/.f64 (sqrt.f64 z) (pow.f64 (cbrt.f64 t) 2)))
(*.f64 (/.f64 (sqrt.f64 z) -1) (/.f64 (sqrt.f64 z) t))
(*.f64 (/.f64 (sqrt.f64 z) t) (sqrt.f64 z))
(*.f64 (/.f64 (sqrt.f64 z) t) (sqrt.f64 (neg.f64 z)))
(*.f64 (/.f64 (sqrt.f64 z) t) (/.f64 (sqrt.f64 z) 1))
(*.f64 (/.f64 (sqrt.f64 z) t) (/.f64 (sqrt.f64 z) -1))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 z) 2) 1) (/.f64 (cbrt.f64 z) t))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 z) 2) (sqrt.f64 t)) (/.f64 (cbrt.f64 z) (sqrt.f64 t)))
(*.f64 (/.f64 (cbrt.f64 z) (sqrt.f64 t)) (/.f64 (pow.f64 (cbrt.f64 z) 2) (sqrt.f64 t)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 z) 2) (pow.f64 (cbrt.f64 t) 2)) (cbrt.f64 (/.f64 z t)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 z) 2) -1) (/.f64 (cbrt.f64 z) t))
(*.f64 (/.f64 (cbrt.f64 z) t) (/.f64 (pow.f64 (cbrt.f64 z) 2) 1))
(*.f64 (/.f64 (cbrt.f64 z) t) (/.f64 (pow.f64 (cbrt.f64 z) 2) -1))
(*.f64 (pow.f64 (/.f64 1 z) -1) (/.f64 1 t))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 t z)) -1) (pow.f64 (sqrt.f64 (/.f64 t z)) -1))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 t z)) 2) -1) (pow.f64 (cbrt.f64 (/.f64 t z)) -1))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 t z)) -1) (pow.f64 (pow.f64 (cbrt.f64 (/.f64 t z)) 2) -1))
(*.f64 (/.f64 -1 (/.f64 t (sqrt.f64 z))) (sqrt.f64 z))
(*.f64 (/.f64 -1 (sqrt.f64 t)) (/.f64 z (sqrt.f64 t)))
(*.f64 (/.f64 1 (/.f64 t (pow.f64 (cbrt.f64 z) 2))) (cbrt.f64 z))
(*.f64 (/.f64 z (-.f64 0 (*.f64 t t))) t)
(*.f64 (/.f64 z (-.f64 0 (pow.f64 t 3))) (+.f64 (*.f64 t t) 0))
(*.f64 (/.f64 (sqrt.f64 (/.f64 z t)) 1) (sqrt.f64 (/.f64 z t)))
(*.f64 (/.f64 (/.f64 1 t) 1) z)
(*.f64 (/.f64 (/.f64 1 t) -1) (neg.f64 z))
(*.f64 (/.f64 (/.f64 1 t) (/.f64 1 (sqrt.f64 z))) (sqrt.f64 z))
(*.f64 (/.f64 (/.f64 1 t) (/.f64 1 (pow.f64 (cbrt.f64 z) 2))) (cbrt.f64 z))
(*.f64 (/.f64 -1 (pow.f64 (cbrt.f64 t) 2)) (/.f64 z (cbrt.f64 t)))
(*.f64 (/.f64 -1 (/.f64 t (pow.f64 (cbrt.f64 z) 2))) (cbrt.f64 z))
(*.f64 (/.f64 (neg.f64 z) (-.f64 0 (*.f64 t t))) t)
(*.f64 (/.f64 (neg.f64 z) (-.f64 0 (pow.f64 t 3))) (+.f64 (*.f64 t t) 0))
(*.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 t z)) 2)) 1) (cbrt.f64 (/.f64 z t)))
(*.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 t z)) 2)) (cbrt.f64 t)) (cbrt.f64 z))
(*.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 t z)) 2)) (cbrt.f64 t)) (cbrt.f64 (neg.f64 z)))
(*.f64 (/.f64 (/.f64 z -1) (-.f64 0 (*.f64 t t))) t)
(*.f64 (/.f64 (/.f64 z -1) (-.f64 0 (pow.f64 t 3))) (+.f64 (*.f64 t t) 0))
(pow.f64 (/.f64 t z) -1)
(pow.f64 (/.f64 z t) 1)
(pow.f64 (sqrt.f64 (/.f64 z t)) 2)
(pow.f64 (cbrt.f64 (/.f64 z t)) 3)
(pow.f64 (pow.f64 (/.f64 z t) 3) 1/3)
(sqrt.f64 (pow.f64 (/.f64 t z) -2))
(log.f64 (exp.f64 (/.f64 z t)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 z t))))
(cbrt.f64 (pow.f64 (/.f64 z t) 3))
(cbrt.f64 (/.f64 (pow.f64 z 3) (pow.f64 t 3)))
(expm1.f64 (log1p.f64 (/.f64 z t)))
(exp.f64 (log.f64 (/.f64 z t)))
(exp.f64 (-.f64 (log.f64 z) (log.f64 t)))
(log1p.f64 (expm1.f64 (/.f64 z t)))
Outputs
(/.f64 (*.f64 y z) t)
(*.f64 (/.f64 y t) z)
(*.f64 y (/.f64 z t))
(/.f64 (*.f64 y z) t)
(*.f64 (/.f64 y t) z)
(*.f64 y (/.f64 z t))
(/.f64 (*.f64 y z) t)
(*.f64 (/.f64 y t) z)
(*.f64 y (/.f64 z t))
(/.f64 (*.f64 y z) t)
(*.f64 (/.f64 y t) z)
(*.f64 y (/.f64 z t))
(/.f64 (*.f64 y z) t)
(*.f64 (/.f64 y t) z)
(*.f64 y (/.f64 z t))
(/.f64 (*.f64 y z) t)
(*.f64 (/.f64 y t) z)
(*.f64 y (/.f64 z t))
(/.f64 (*.f64 y z) t)
(*.f64 (/.f64 y t) z)
(*.f64 y (/.f64 z t))
(/.f64 (*.f64 y z) t)
(*.f64 (/.f64 y t) z)
(*.f64 y (/.f64 z t))
(/.f64 (*.f64 y z) t)
(*.f64 (/.f64 y t) z)
(*.f64 y (/.f64 z t))
(/.f64 (*.f64 y z) t)
(*.f64 (/.f64 y t) z)
(*.f64 y (/.f64 z t))
(/.f64 (*.f64 y z) t)
(*.f64 (/.f64 y t) z)
(*.f64 y (/.f64 z t))
(/.f64 (*.f64 y z) t)
(*.f64 (/.f64 y t) z)
(*.f64 y (/.f64 z t))
(/.f64 (*.f64 y z) t)
(*.f64 (/.f64 y t) z)
(*.f64 y (/.f64 z t))
(/.f64 (*.f64 y z) t)
(*.f64 (/.f64 y t) z)
(*.f64 y (/.f64 z t))
(/.f64 (*.f64 y z) t)
(*.f64 (/.f64 y t) z)
(*.f64 y (/.f64 z t))
(/.f64 (*.f64 y z) t)
(*.f64 (/.f64 y t) z)
(*.f64 y (/.f64 z t))
(/.f64 (*.f64 y z) t)
(*.f64 (/.f64 y t) z)
(*.f64 y (/.f64 z t))
(/.f64 (*.f64 y z) t)
(*.f64 (/.f64 y t) z)
(*.f64 y (/.f64 z t))
(/.f64 (*.f64 y z) t)
(*.f64 (/.f64 y t) z)
(*.f64 y (/.f64 z t))
(/.f64 (*.f64 y z) t)
(*.f64 (/.f64 y t) z)
(*.f64 y (/.f64 z t))
(/.f64 (*.f64 y z) t)
(*.f64 (/.f64 y t) z)
(*.f64 y (/.f64 z t))
(/.f64 (*.f64 y z) t)
(*.f64 (/.f64 y t) z)
(*.f64 y (/.f64 z t))
(/.f64 (*.f64 y z) t)
(*.f64 (/.f64 y t) z)
(*.f64 y (/.f64 z t))
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(*.f64 (/.f64 1 (/.f64 t (pow.f64 (cbrt.f64 z) 2))) (cbrt.f64 z))
(/.f64 z t)
(*.f64 (/.f64 z (-.f64 0 (*.f64 t t))) t)
(/.f64 (*.f64 z t) (neg.f64 (*.f64 t t)))
(*.f64 t (/.f64 z (neg.f64 (*.f64 t t))))
(*.f64 (/.f64 z (-.f64 0 (pow.f64 t 3))) (+.f64 (*.f64 t t) 0))
(*.f64 (/.f64 z (neg.f64 (pow.f64 t 3))) (*.f64 t t))
(/.f64 z (/.f64 (neg.f64 (pow.f64 t 3)) (*.f64 t t)))
(*.f64 (/.f64 (sqrt.f64 (/.f64 z t)) 1) (sqrt.f64 (/.f64 z t)))
(/.f64 z t)
(*.f64 (/.f64 (/.f64 1 t) 1) z)
(/.f64 z t)
(*.f64 (/.f64 (/.f64 1 t) -1) (neg.f64 z))
(/.f64 z t)
(*.f64 (/.f64 (/.f64 1 t) (/.f64 1 (sqrt.f64 z))) (sqrt.f64 z))
(/.f64 z t)
(*.f64 (/.f64 (/.f64 1 t) (/.f64 1 (pow.f64 (cbrt.f64 z) 2))) (cbrt.f64 z))
(/.f64 z t)
(*.f64 (/.f64 -1 (pow.f64 (cbrt.f64 t) 2)) (/.f64 z (cbrt.f64 t)))
(*.f64 (/.f64 z (cbrt.f64 t)) (/.f64 -1 (pow.f64 (cbrt.f64 t) 2)))
(/.f64 (neg.f64 (/.f64 z (cbrt.f64 t))) (pow.f64 (cbrt.f64 t) 2))
(*.f64 (/.f64 -1 (/.f64 t (pow.f64 (cbrt.f64 z) 2))) (cbrt.f64 z))
(/.f64 (neg.f64 z) t)
(/.f64 z (neg.f64 t))
(*.f64 (/.f64 (neg.f64 z) (-.f64 0 (*.f64 t t))) t)
(*.f64 t (/.f64 (neg.f64 z) (neg.f64 (*.f64 t t))))
(neg.f64 (/.f64 (*.f64 z t) (neg.f64 (*.f64 t t))))
(*.f64 (/.f64 (neg.f64 z) (-.f64 0 (pow.f64 t 3))) (+.f64 (*.f64 t t) 0))
(*.f64 (*.f64 t t) (/.f64 (neg.f64 z) (neg.f64 (pow.f64 t 3))))
(/.f64 (neg.f64 z) (/.f64 (neg.f64 (pow.f64 t 3)) (*.f64 t t)))
(*.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 t z)) 2)) 1) (cbrt.f64 (/.f64 z t)))
(*.f64 (cbrt.f64 (/.f64 z t)) (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 t z)) 2)))
(/.f64 (cbrt.f64 (/.f64 z t)) (pow.f64 (cbrt.f64 (/.f64 t z)) 2))
(*.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 t z)) 2)) (cbrt.f64 t)) (cbrt.f64 z))
(*.f64 (cbrt.f64 z) (/.f64 1 (*.f64 (cbrt.f64 t) (pow.f64 (cbrt.f64 (/.f64 t z)) 2))))
(/.f64 (cbrt.f64 z) (*.f64 (pow.f64 (cbrt.f64 (/.f64 t z)) 2) (cbrt.f64 t)))
(*.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 t z)) 2)) (cbrt.f64 t)) (cbrt.f64 (neg.f64 z)))
(*.f64 (/.f64 1 (*.f64 (cbrt.f64 t) (pow.f64 (cbrt.f64 (/.f64 t z)) 2))) (cbrt.f64 (neg.f64 z)))
(*.f64 (/.f64 1 (*.f64 (pow.f64 (cbrt.f64 (/.f64 t z)) 2) (cbrt.f64 t))) (cbrt.f64 (neg.f64 z)))
(*.f64 (/.f64 (/.f64 z -1) (-.f64 0 (*.f64 t t))) t)
(*.f64 t (/.f64 z (*.f64 (neg.f64 (*.f64 t t)) -1)))
(*.f64 t (/.f64 z (*.f64 -1 (neg.f64 (*.f64 t t)))))
(*.f64 (/.f64 (/.f64 z -1) (-.f64 0 (pow.f64 t 3))) (+.f64 (*.f64 t t) 0))
(/.f64 (*.f64 (/.f64 z -1) (*.f64 t t)) (neg.f64 (pow.f64 t 3)))
(*.f64 (*.f64 t t) (/.f64 (/.f64 z -1) (neg.f64 (pow.f64 t 3))))
(*.f64 (*.f64 t t) (/.f64 z (neg.f64 (*.f64 (pow.f64 t 3) -1))))
(pow.f64 (/.f64 t z) -1)
(/.f64 z t)
(pow.f64 (/.f64 z t) 1)
(/.f64 z t)
(pow.f64 (sqrt.f64 (/.f64 z t)) 2)
(/.f64 z t)
(pow.f64 (cbrt.f64 (/.f64 z t)) 3)
(/.f64 z t)
(pow.f64 (pow.f64 (/.f64 z t) 3) 1/3)
(/.f64 z t)
(sqrt.f64 (pow.f64 (/.f64 t z) -2))
(fabs.f64 (/.f64 z t))
(log.f64 (exp.f64 (/.f64 z t)))
(/.f64 z t)
(log.f64 (+.f64 1 (expm1.f64 (/.f64 z t))))
(/.f64 z t)
(cbrt.f64 (pow.f64 (/.f64 z t) 3))
(/.f64 z t)
(cbrt.f64 (/.f64 (pow.f64 z 3) (pow.f64 t 3)))
(/.f64 z t)
(expm1.f64 (log1p.f64 (/.f64 z t)))
(/.f64 z t)
(exp.f64 (log.f64 (/.f64 z t)))
(/.f64 z t)
(exp.f64 (-.f64 (log.f64 z) (log.f64 t)))
(/.f64 z t)
(log1p.f64 (expm1.f64 (/.f64 z t)))
(/.f64 z t)

localize11.0ms (0.1%)

Local Accuracy

Found 2 expressions with local accuracy:

NewAccuracyProgram
94.3%
(log1p.f64 (*.f64 y z))
91.5%
(*.f64 (log1p.f64 (*.f64 y z)) (/.f64 1 (neg.f64 t)))
Compiler

Compiled 30 to 13 computations (56.7% saved)

series1.0ms (0%)

Counts
1 → 36
Calls

9 calls:

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

rewrite58.0ms (0.3%)

Algorithm
batch-egg-rewrite
Rules
1978×add-sqr-sqrt
1962×*-un-lft-identity
1814×add-cube-cbrt
1784×add-cbrt-cube
228×pow1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01221
123717
2287317
Stop Event
node limit
Counts
1 → 24
Calls
Call 1
Inputs
(*.f64 (log1p.f64 (*.f64 y z)) (/.f64 1 (neg.f64 t)))
Outputs
(((-.f64 (exp.f64 (log1p.f64 (/.f64 (log1p.f64 (*.f64 y z)) t))) 1) (2)) ((/.f64 (log1p.f64 (*.f64 y z)) t) (2)) ((/.f64 1 (/.f64 t (log1p.f64 (*.f64 y z)))) (2)) ((/.f64 (sqrt.f64 (log1p.f64 (*.f64 y z))) (/.f64 t (sqrt.f64 (log1p.f64 (*.f64 y z))))) (2)) ((/.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y z))) 2) (/.f64 t (cbrt.f64 (log1p.f64 (*.f64 y z))))) (2)) ((/.f64 (*.f64 (log1p.f64 (*.f64 y z)) -1) t) (2)) ((/.f64 (*.f64 -1 (log1p.f64 (*.f64 y z))) t) (2)) ((/.f64 (/.f64 (log1p.f64 (*.f64 y z)) 1) t) (2)) ((/.f64 (/.f64 (log1p.f64 (*.f64 y z)) (sqrt.f64 t)) (sqrt.f64 t)) (2)) ((/.f64 (/.f64 (log1p.f64 (*.f64 y z)) (pow.f64 (cbrt.f64 t) 2)) (cbrt.f64 t)) (2)) ((/.f64 (/.f64 (log1p.f64 (*.f64 y z)) -1) t) (2)) ((/.f64 (neg.f64 (log1p.f64 (*.f64 y z))) t) (2)) ((pow.f64 (/.f64 (log1p.f64 (*.f64 y z)) t) 1) (2)) ((pow.f64 (sqrt.f64 (/.f64 (log1p.f64 (*.f64 y z)) t)) 2) (2)) ((pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y z)) t)) 3) (2)) ((pow.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 y z)) t) 3) 1/3) (2)) ((sqrt.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 y z)) t) 2)) (2)) ((log.f64 (exp.f64 (/.f64 (log1p.f64 (*.f64 y z)) t))) (2)) ((log.f64 (+.f64 1 (expm1.f64 (/.f64 (log1p.f64 (*.f64 y z)) t)))) (2)) ((cbrt.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 y z)) t) 3)) (2)) ((expm1.f64 (log1p.f64 (/.f64 (log1p.f64 (*.f64 y z)) t))) (2)) ((exp.f64 (log.f64 (/.f64 (log1p.f64 (*.f64 y z)) t))) (2)) ((exp.f64 (*.f64 (log.f64 (/.f64 (log1p.f64 (*.f64 y z)) t)) 1)) (2)) ((log1p.f64 (expm1.f64 (/.f64 (log1p.f64 (*.f64 y z)) t))) (2)))

simplify76.0ms (0.4%)

Algorithm
egg-herbie
Rules
1220×times-frac
1134×associate-*r*
956×associate-*l*
832×associate-/r*
774×associate-+l-
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01522512
13922356
212632348
365392348
Stop Event
node limit
Counts
60 → 83
Calls
Call 1
Inputs
(*.f64 -1 (/.f64 (*.f64 y z) t))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) (*.f64 1/2 (/.f64 (*.f64 (pow.f64 y 2) (pow.f64 z 2)) t)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) (+.f64 (*.f64 -1/3 (/.f64 (*.f64 (pow.f64 y 3) (pow.f64 z 3)) 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 1/4 (/.f64 (*.f64 (pow.f64 y 4) (pow.f64 z 4)) t)) (+.f64 (*.f64 -1/3 (/.f64 (*.f64 (pow.f64 y 3) (pow.f64 z 3)) t)) (*.f64 1/2 (/.f64 (*.f64 (pow.f64 y 2) (pow.f64 z 2)) t)))))
(*.f64 -1 (/.f64 (+.f64 (log.f64 z) (*.f64 -1 (log.f64 (/.f64 1 y)))) t))
(-.f64 (*.f64 -1 (/.f64 (+.f64 (log.f64 z) (*.f64 -1 (log.f64 (/.f64 1 y)))) t)) (/.f64 1 (*.f64 y (*.f64 t z))))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 y 2) (*.f64 t (pow.f64 z 2))))) (*.f64 -1 (/.f64 (+.f64 (log.f64 z) (*.f64 -1 (log.f64 (/.f64 1 y)))) t))) (/.f64 1 (*.f64 y (*.f64 t z))))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 y 2) (*.f64 t (pow.f64 z 2))))) (*.f64 -1 (/.f64 (+.f64 (log.f64 z) (*.f64 -1 (log.f64 (/.f64 1 y)))) t))) (+.f64 (/.f64 1 (*.f64 y (*.f64 t z))) (*.f64 1/3 (/.f64 1 (*.f64 (pow.f64 y 3) (*.f64 t (pow.f64 z 3)))))))
(*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (*.f64 -1 z))) t))
(-.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (*.f64 -1 z))) t)) (/.f64 1 (*.f64 y (*.f64 t z))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (*.f64 -1 z))) t)) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 y 2) (*.f64 t (pow.f64 z 2)))))) (/.f64 1 (*.f64 y (*.f64 t z))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (*.f64 -1 z))) t)) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 y 2) (*.f64 t (pow.f64 z 2)))))) (+.f64 (/.f64 1 (*.f64 y (*.f64 t z))) (*.f64 1/3 (/.f64 1 (*.f64 (pow.f64 y 3) (*.f64 t (pow.f64 z 3)))))))
(*.f64 -1 (/.f64 (*.f64 y z) 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 -1/3 (/.f64 (*.f64 (pow.f64 y 3) (pow.f64 z 3)) 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 1/4 (/.f64 (*.f64 (pow.f64 y 4) (pow.f64 z 4)) t)) (+.f64 (*.f64 -1/3 (/.f64 (*.f64 (pow.f64 y 3) (pow.f64 z 3)) t)) (*.f64 1/2 (/.f64 (*.f64 (pow.f64 y 2) (pow.f64 z 2)) t)))))
(*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 z))) (log.f64 y)) t))
(-.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 z))) (log.f64 y)) t)) (/.f64 1 (*.f64 y (*.f64 t z))))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 y 2) (*.f64 t (pow.f64 z 2))))) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 z))) (log.f64 y)) t))) (/.f64 1 (*.f64 y (*.f64 t z))))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 y 2) (*.f64 t (pow.f64 z 2))))) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 z))) (log.f64 y)) t))) (+.f64 (/.f64 1 (*.f64 y (*.f64 t z))) (*.f64 1/3 (/.f64 1 (*.f64 (pow.f64 y 3) (*.f64 t (pow.f64 z 3)))))))
(*.f64 -1 (/.f64 (+.f64 (log.f64 (*.f64 -1 y)) (*.f64 -1 (log.f64 (/.f64 -1 z)))) t))
(-.f64 (*.f64 -1 (/.f64 (+.f64 (log.f64 (*.f64 -1 y)) (*.f64 -1 (log.f64 (/.f64 -1 z)))) t)) (/.f64 1 (*.f64 y (*.f64 t z))))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 y 2) (*.f64 t (pow.f64 z 2))))) (*.f64 -1 (/.f64 (+.f64 (log.f64 (*.f64 -1 y)) (*.f64 -1 (log.f64 (/.f64 -1 z)))) t))) (/.f64 1 (*.f64 y (*.f64 t z))))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 y 2) (*.f64 t (pow.f64 z 2))))) (*.f64 -1 (/.f64 (+.f64 (log.f64 (*.f64 -1 y)) (*.f64 -1 (log.f64 (/.f64 -1 z)))) t))) (+.f64 (/.f64 1 (*.f64 y (*.f64 t z))) (*.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 -1 (/.f64 (log.f64 (+.f64 (*.f64 y z) 1)) t))
(*.f64 -1 (/.f64 (log.f64 (+.f64 (*.f64 y z) 1)) t))
(*.f64 -1 (/.f64 (log.f64 (+.f64 (*.f64 y z) 1)) t))
(*.f64 -1 (/.f64 (log.f64 (+.f64 (*.f64 y z) 1)) t))
(*.f64 -1 (/.f64 (log.f64 (+.f64 (*.f64 y z) 1)) t))
(*.f64 -1 (/.f64 (log.f64 (+.f64 (*.f64 y z) 1)) t))
(*.f64 -1 (/.f64 (log.f64 (+.f64 (*.f64 y z) 1)) t))
(*.f64 -1 (/.f64 (log.f64 (+.f64 (*.f64 y z) 1)) t))
(*.f64 -1 (/.f64 (log.f64 (+.f64 (*.f64 y z) 1)) t))
(*.f64 -1 (/.f64 (log.f64 (+.f64 (*.f64 y z) 1)) t))
(*.f64 -1 (/.f64 (log.f64 (+.f64 (*.f64 y z) 1)) t))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (log1p.f64 (*.f64 y z)) t))) 1)
(/.f64 (log1p.f64 (*.f64 y z)) t)
(/.f64 1 (/.f64 t (log1p.f64 (*.f64 y z))))
(/.f64 (sqrt.f64 (log1p.f64 (*.f64 y z))) (/.f64 t (sqrt.f64 (log1p.f64 (*.f64 y z)))))
(/.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y z))) 2) (/.f64 t (cbrt.f64 (log1p.f64 (*.f64 y z)))))
(/.f64 (*.f64 (log1p.f64 (*.f64 y z)) -1) t)
(/.f64 (*.f64 -1 (log1p.f64 (*.f64 y z))) t)
(/.f64 (/.f64 (log1p.f64 (*.f64 y z)) 1) t)
(/.f64 (/.f64 (log1p.f64 (*.f64 y z)) (sqrt.f64 t)) (sqrt.f64 t))
(/.f64 (/.f64 (log1p.f64 (*.f64 y z)) (pow.f64 (cbrt.f64 t) 2)) (cbrt.f64 t))
(/.f64 (/.f64 (log1p.f64 (*.f64 y z)) -1) t)
(/.f64 (neg.f64 (log1p.f64 (*.f64 y z))) t)
(pow.f64 (/.f64 (log1p.f64 (*.f64 y z)) t) 1)
(pow.f64 (sqrt.f64 (/.f64 (log1p.f64 (*.f64 y z)) t)) 2)
(pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y z)) t)) 3)
(pow.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 y z)) t) 3) 1/3)
(sqrt.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 y z)) t) 2))
(log.f64 (exp.f64 (/.f64 (log1p.f64 (*.f64 y z)) t)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (log1p.f64 (*.f64 y z)) t))))
(cbrt.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 y z)) t) 3))
(expm1.f64 (log1p.f64 (/.f64 (log1p.f64 (*.f64 y z)) t)))
(exp.f64 (log.f64 (/.f64 (log1p.f64 (*.f64 y z)) t)))
(exp.f64 (*.f64 (log.f64 (/.f64 (log1p.f64 (*.f64 y z)) t)) 1))
(log1p.f64 (expm1.f64 (/.f64 (log1p.f64 (*.f64 y z)) t)))
Outputs
(*.f64 -1 (/.f64 (*.f64 y z) t))
(neg.f64 (/.f64 y (/.f64 t z)))
(/.f64 (neg.f64 y) (/.f64 t z))
(*.f64 (/.f64 y t) (neg.f64 z))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) (*.f64 1/2 (/.f64 (*.f64 (pow.f64 y 2) (pow.f64 z 2)) t)))
(fma.f64 -1 (/.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 (neg.f64 y) (/.f64 t z)))
(-.f64 (*.f64 (/.f64 1/2 t) (*.f64 (*.f64 y z) (*.f64 y z))) (*.f64 z (/.f64 y t)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) (+.f64 (*.f64 -1/3 (/.f64 (*.f64 (pow.f64 y 3) (pow.f64 z 3)) t)) (*.f64 1/2 (/.f64 (*.f64 (pow.f64 y 2) (pow.f64 z 2)) t))))
(fma.f64 -1 (/.f64 y (/.f64 t z)) (fma.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 (fma.f64 1/2 (*.f64 (/.f64 (*.f64 y y) t) (*.f64 z z)) (/.f64 (*.f64 -1/3 (*.f64 (pow.f64 y 3) (pow.f64 z 3))) t)) (*.f64 (/.f64 y t) z))
(-.f64 (fma.f64 1/2 (*.f64 (*.f64 z z) (/.f64 y (/.f64 t y))) (*.f64 (/.f64 -1/3 t) (*.f64 (pow.f64 y 3) (pow.f64 z 3)))) (*.f64 z (/.f64 y t)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) (+.f64 (*.f64 1/4 (/.f64 (*.f64 (pow.f64 y 4) (pow.f64 z 4)) t)) (+.f64 (*.f64 -1/3 (/.f64 (*.f64 (pow.f64 y 3) (pow.f64 z 3)) t)) (*.f64 1/2 (/.f64 (*.f64 (pow.f64 y 2) (pow.f64 z 2)) t)))))
(fma.f64 -1 (/.f64 y (/.f64 t z)) (fma.f64 1/4 (/.f64 (pow.f64 y 4) (/.f64 t (pow.f64 z 4))) (fma.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 (fma.f64 1/4 (*.f64 (/.f64 (pow.f64 y 4) t) (pow.f64 z 4)) (fma.f64 1/2 (*.f64 (/.f64 (*.f64 y y) t) (*.f64 z z)) (/.f64 (*.f64 -1/3 (*.f64 (pow.f64 y 3) (pow.f64 z 3))) t))) (*.f64 (/.f64 y t) z))
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(*.f64 -1 (/.f64 (+.f64 (log.f64 z) (*.f64 -1 (log.f64 (/.f64 1 y)))) t))
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(/.f64 (log1p.f64 (*.f64 y z)) t)
(/.f64 1 (/.f64 t (log1p.f64 (*.f64 y z))))
(/.f64 (log1p.f64 (*.f64 y z)) t)
(/.f64 (sqrt.f64 (log1p.f64 (*.f64 y z))) (/.f64 t (sqrt.f64 (log1p.f64 (*.f64 y z)))))
(/.f64 (log1p.f64 (*.f64 y z)) t)
(/.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y z))) 2) (/.f64 t (cbrt.f64 (log1p.f64 (*.f64 y z)))))
(/.f64 (log1p.f64 (*.f64 y z)) t)
(/.f64 (*.f64 (log1p.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 (log1p.f64 (*.f64 y z)) (neg.f64 t))
(/.f64 (*.f64 -1 (log1p.f64 (*.f64 y z))) t)
(neg.f64 (/.f64 (log.f64 (fma.f64 y z 1)) t))
(/.f64 (neg.f64 (log1p.f64 (*.f64 y z))) t)
(/.f64 (log1p.f64 (*.f64 y z)) (neg.f64 t))
(/.f64 (/.f64 (log1p.f64 (*.f64 y z)) 1) t)
(/.f64 (log1p.f64 (*.f64 y z)) t)
(/.f64 (/.f64 (log1p.f64 (*.f64 y z)) (sqrt.f64 t)) (sqrt.f64 t))
(/.f64 (log1p.f64 (*.f64 y z)) t)
(/.f64 (/.f64 (log1p.f64 (*.f64 y z)) (pow.f64 (cbrt.f64 t) 2)) (cbrt.f64 t))
(/.f64 (log1p.f64 (*.f64 y z)) t)
(/.f64 (/.f64 (log1p.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 (log1p.f64 (*.f64 y z)) (neg.f64 t))
(/.f64 (neg.f64 (log1p.f64 (*.f64 y z))) t)
(neg.f64 (/.f64 (log.f64 (fma.f64 y z 1)) t))
(/.f64 (log1p.f64 (*.f64 y z)) (neg.f64 t))
(pow.f64 (/.f64 (log1p.f64 (*.f64 y z)) t) 1)
(/.f64 (log1p.f64 (*.f64 y z)) t)
(pow.f64 (sqrt.f64 (/.f64 (log1p.f64 (*.f64 y z)) t)) 2)
(/.f64 (log1p.f64 (*.f64 y z)) t)
(pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y z)) t)) 3)
(/.f64 (log1p.f64 (*.f64 y z)) t)
(pow.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 y z)) t) 3) 1/3)
(/.f64 (log1p.f64 (*.f64 y z)) t)
(sqrt.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 y z)) t) 2))
(/.f64 (log1p.f64 (*.f64 y z)) t)
(log.f64 (exp.f64 (/.f64 (log1p.f64 (*.f64 y z)) t)))
(/.f64 (log1p.f64 (*.f64 y z)) t)
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (log1p.f64 (*.f64 y z)) t))))
(/.f64 (log1p.f64 (*.f64 y z)) t)
(cbrt.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 y z)) t) 3))
(/.f64 (log1p.f64 (*.f64 y z)) t)
(expm1.f64 (log1p.f64 (/.f64 (log1p.f64 (*.f64 y z)) t)))
(/.f64 (log1p.f64 (*.f64 y z)) t)
(exp.f64 (log.f64 (/.f64 (log1p.f64 (*.f64 y z)) t)))
(/.f64 (log1p.f64 (*.f64 y z)) t)
(exp.f64 (*.f64 (log.f64 (/.f64 (log1p.f64 (*.f64 y z)) t)) 1))
(/.f64 (log1p.f64 (*.f64 y z)) t)
(log1p.f64 (expm1.f64 (/.f64 (log1p.f64 (*.f64 y z)) t)))
(/.f64 (log1p.f64 (*.f64 y z)) t)

localize10.0ms (0.1%)

Local Accuracy

Found 2 expressions with local accuracy:

NewAccuracyProgram
99.9%
(/.f64 (-.f64 (neg.f64 (log.f64 z)) (log.f64 y)) t)
99.9%
(-.f64 (neg.f64 (log.f64 z)) (log.f64 y))
Compiler

Compiled 28 to 9 computations (67.9% saved)

series6.0ms (0%)

Counts
2 → 60
Calls

15 calls:

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

rewrite81.0ms (0.4%)

Algorithm
batch-egg-rewrite
Rules
1406×associate-/r*
1364×associate-*r/
1250×associate-/l*
1072×*-commutative
1006×associate-*l/
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01144
123328
2333328
Stop Event
node limit
Counts
2 → 163
Calls
Call 1
Inputs
(-.f64 (neg.f64 (log.f64 z)) (log.f64 y))
(/.f64 (-.f64 (neg.f64 (log.f64 z)) (log.f64 y)) t)
Outputs
(((+.f64 (log.f64 z) (neg.f64 (log.f64 y))) (2)) ((+.f64 (log.f64 z) (+.f64 (neg.f64 (log.f64 y)) (fma.f64 (neg.f64 (log.f64 y)) 1 (log.f64 y)))) (2)) ((+.f64 (log.f64 z) (+.f64 (neg.f64 (log.f64 y)) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 y))) (sqrt.f64 (log.f64 y)) (log.f64 y)))) (2)) ((+.f64 (log.f64 z) (+.f64 (neg.f64 (log.f64 y)) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 y))) (pow.f64 (cbrt.f64 (log.f64 y)) 2) (log.f64 y)))) (2)) ((+.f64 (log.f64 (/.f64 z y)) (fma.f64 (neg.f64 (log.f64 y)) 1 (log.f64 y))) (2)) ((+.f64 (log.f64 (/.f64 z y)) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 y))) (sqrt.f64 (log.f64 y)) (log.f64 y))) (2)) ((+.f64 (log.f64 (/.f64 z y)) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 y))) (pow.f64 (cbrt.f64 (log.f64 y)) 2) (log.f64 y))) (2)) ((+.f64 (log.f64 (/.f64 z y)) (+.f64 (fma.f64 (neg.f64 (log.f64 y)) 1 (log.f64 y)) (fma.f64 (neg.f64 (log.f64 y)) 1 (log.f64 y)))) (2)) ((+.f64 (log.f64 (/.f64 z y)) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (log.f64 y))) (sqrt.f64 (log.f64 y)) (log.f64 y)) (fma.f64 (neg.f64 (log.f64 y)) 1 (log.f64 y)))) (2)) ((+.f64 (log.f64 (/.f64 z y)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (log.f64 y))) (pow.f64 (cbrt.f64 (log.f64 y)) 2) (log.f64 y)) (fma.f64 (neg.f64 (log.f64 y)) 1 (log.f64 y)))) (2)) ((+.f64 (log.f64 (/.f64 z y)) (+.f64 (fma.f64 (neg.f64 (log.f64 y)) 1 (log.f64 y)) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 y))) (sqrt.f64 (log.f64 y)) (log.f64 y)))) (2)) ((+.f64 (log.f64 (/.f64 z y)) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (log.f64 y))) (sqrt.f64 (log.f64 y)) (log.f64 y)) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 y))) (sqrt.f64 (log.f64 y)) (log.f64 y)))) (2)) ((+.f64 (log.f64 (/.f64 z y)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (log.f64 y))) (pow.f64 (cbrt.f64 (log.f64 y)) 2) (log.f64 y)) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 y))) (sqrt.f64 (log.f64 y)) (log.f64 y)))) (2)) ((+.f64 (log.f64 (/.f64 z y)) (+.f64 (fma.f64 (neg.f64 (log.f64 y)) 1 (log.f64 y)) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 y))) (pow.f64 (cbrt.f64 (log.f64 y)) 2) (log.f64 y)))) (2)) ((+.f64 (log.f64 (/.f64 z y)) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (log.f64 y))) (sqrt.f64 (log.f64 y)) (log.f64 y)) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 y))) (pow.f64 (cbrt.f64 (log.f64 y)) 2) (log.f64 y)))) (2)) ((+.f64 (log.f64 (/.f64 z y)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (log.f64 y))) (pow.f64 (cbrt.f64 (log.f64 y)) 2) (log.f64 y)) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 y))) (pow.f64 (cbrt.f64 (log.f64 y)) 2) (log.f64 y)))) (2)) ((+.f64 (neg.f64 (log.f64 y)) (log.f64 z)) (2)) ((+.f64 (neg.f64 (log.f64 y)) (+.f64 (log.f64 z) (fma.f64 (neg.f64 (log.f64 y)) 1 (log.f64 y)))) (2)) ((+.f64 (neg.f64 (log.f64 y)) (+.f64 (log.f64 z) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 y))) (sqrt.f64 (log.f64 y)) (log.f64 y)))) (2)) ((+.f64 (neg.f64 (log.f64 y)) (+.f64 (log.f64 z) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 y))) (pow.f64 (cbrt.f64 (log.f64 y)) 2) (log.f64 y)))) (2)) ((+.f64 0 (log.f64 (/.f64 z y))) (2)) ((+.f64 (log.f64 (sqrt.f64 z)) (+.f64 (log.f64 (sqrt.f64 z)) (neg.f64 (log.f64 y)))) (2)) ((+.f64 (log.f64 (sqrt.f64 z)) (-.f64 (log.f64 (sqrt.f64 z)) (log.f64 y))) (2)) ((+.f64 (log.f64 (pow.f64 (cbrt.f64 z) 2)) (+.f64 (log.f64 (cbrt.f64 z)) (neg.f64 (log.f64 y)))) (2)) ((+.f64 (log.f64 (pow.f64 (cbrt.f64 z) 2)) (-.f64 (log.f64 (cbrt.f64 z)) (log.f64 y))) (2)) ((+.f64 (fma.f64 (neg.f64 (log.f64 y)) 1 (log.f64 y)) (log.f64 (/.f64 z y))) (2)) ((+.f64 (fma.f64 (neg.f64 (sqrt.f64 (log.f64 y))) (sqrt.f64 (log.f64 y)) (log.f64 y)) (log.f64 (/.f64 z y))) (2)) ((+.f64 (fma.f64 (neg.f64 (cbrt.f64 (log.f64 y))) (pow.f64 (cbrt.f64 (log.f64 y)) 2) (log.f64 y)) (log.f64 (/.f64 z y))) (2)) ((+.f64 (+.f64 (neg.f64 (log.f64 y)) 0) (log.f64 z)) (2)) ((+.f64 (+.f64 (neg.f64 (log.f64 y)) (log.f64 (sqrt.f64 z))) (log.f64 (sqrt.f64 z))) (2)) ((+.f64 (+.f64 (neg.f64 (log.f64 y)) (log.f64 (pow.f64 (cbrt.f64 z) 2))) (log.f64 (cbrt.f64 z))) (2)) ((+.f64 (-.f64 (log.f64 z) (exp.f64 (log1p.f64 (log.f64 y)))) 1) (2)) ((*.f64 (log.f64 (/.f64 z y)) 1) (2)) ((*.f64 1 (log.f64 (/.f64 z y))) (2)) ((*.f64 (sqrt.f64 (log.f64 (/.f64 z y))) (sqrt.f64 (log.f64 (/.f64 z y)))) (2)) ((*.f64 (cbrt.f64 (log.f64 (/.f64 z y))) (pow.f64 (cbrt.f64 (log.f64 (/.f64 z y))) 2)) (2)) ((*.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 z y))) 2) (cbrt.f64 (log.f64 (/.f64 z y)))) (2)) ((*.f64 (-.f64 (pow.f64 (log.f64 z) 2) (pow.f64 (log.f64 y) 2)) (/.f64 1 (log.f64 (*.f64 z y)))) (2)) ((*.f64 (-.f64 (pow.f64 (log.f64 z) 3) (pow.f64 (log.f64 y) 3)) (/.f64 1 (+.f64 (pow.f64 (log.f64 z) 2) (*.f64 (log.f64 y) (log.f64 (*.f64 z y)))))) (2)) ((*.f64 (+.f64 (sqrt.f64 (log.f64 y)) (sqrt.f64 (log.f64 z))) (-.f64 (sqrt.f64 (log.f64 z)) (sqrt.f64 (log.f64 y)))) (2)) ((*.f64 (-.f64 (sqrt.f64 (log.f64 z)) (sqrt.f64 (log.f64 y))) (+.f64 (sqrt.f64 (log.f64 y)) (sqrt.f64 (log.f64 z)))) (2)) ((*.f64 (/.f64 1 (log.f64 (*.f64 z y))) (-.f64 (pow.f64 (log.f64 z) 2) (pow.f64 (log.f64 y) 2))) (2)) ((*.f64 (/.f64 1 (+.f64 (pow.f64 (log.f64 z) 2) (*.f64 (log.f64 y) (log.f64 (*.f64 z y))))) (-.f64 (pow.f64 (log.f64 z) 3) (pow.f64 (log.f64 y) 3))) (2)) ((/.f64 (log.f64 (/.f64 z y)) 1) (2)) ((/.f64 1 (/.f64 1 (log.f64 (/.f64 z y)))) (2)) ((/.f64 (sqrt.f64 (log.f64 (/.f64 z y))) (/.f64 1 (sqrt.f64 (log.f64 (/.f64 z y))))) (2)) ((/.f64 (cbrt.f64 (log.f64 (/.f64 z y))) (/.f64 1 (pow.f64 (cbrt.f64 (log.f64 (/.f64 z y))) 2))) (2)) ((/.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 z y))) 2) (/.f64 1 (cbrt.f64 (log.f64 (/.f64 z y))))) (2)) ((/.f64 (-.f64 (pow.f64 (log.f64 z) 2) (pow.f64 (log.f64 y) 2)) (log.f64 (*.f64 z y))) (2)) ((/.f64 (-.f64 (pow.f64 (log.f64 z) 2) (pow.f64 (log.f64 y) 2)) (/.f64 1 (/.f64 1 (log.f64 (*.f64 z y))))) (2)) ((/.f64 (log.f64 (*.f64 z y)) (/.f64 (log.f64 (*.f64 z y)) (log.f64 (/.f64 z y)))) (2)) ((/.f64 (-.f64 (pow.f64 (log.f64 z) 3) (pow.f64 (log.f64 y) 3)) (+.f64 (pow.f64 (log.f64 z) 2) (*.f64 (log.f64 y) (log.f64 (*.f64 z y))))) (2)) ((/.f64 (-.f64 (pow.f64 (log.f64 z) 3) (pow.f64 (log.f64 y) 3)) (/.f64 1 (/.f64 1 (+.f64 (pow.f64 (log.f64 z) 2) (*.f64 (log.f64 y) (log.f64 (*.f64 z y))))))) (2)) ((/.f64 (+.f64 (pow.f64 (log.f64 z) 2) (*.f64 (log.f64 y) (log.f64 (*.f64 z y)))) (/.f64 (+.f64 (pow.f64 (log.f64 z) 2) (*.f64 (log.f64 y) (log.f64 (*.f64 z y)))) (log.f64 (/.f64 z y)))) (2)) ((/.f64 (sqrt.f64 (-.f64 (pow.f64 (log.f64 z) 3) (pow.f64 (log.f64 y) 3))) (/.f64 (+.f64 (pow.f64 (log.f64 z) 2) (*.f64 (log.f64 y) (log.f64 (*.f64 z y)))) (sqrt.f64 (-.f64 (pow.f64 (log.f64 z) 3) (pow.f64 (log.f64 y) 3))))) (2)) ((/.f64 (sqrt.f64 (-.f64 (pow.f64 (log.f64 z) 2) (pow.f64 (log.f64 y) 2))) (/.f64 (log.f64 (*.f64 z y)) (sqrt.f64 (-.f64 (pow.f64 (log.f64 z) 2) (pow.f64 (log.f64 y) 2))))) (2)) ((/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (log.f64 z) 3) (pow.f64 (log.f64 y) 3))) (cbrt.f64 (-.f64 (pow.f64 (log.f64 z) 3) (pow.f64 (log.f64 y) 3)))) (/.f64 (+.f64 (pow.f64 (log.f64 z) 2) (*.f64 (log.f64 y) (log.f64 (*.f64 z y)))) (cbrt.f64 (-.f64 (pow.f64 (log.f64 z) 3) (pow.f64 (log.f64 y) 3))))) (2)) ((/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (log.f64 z) 2) (pow.f64 (log.f64 y) 2))) (cbrt.f64 (-.f64 (pow.f64 (log.f64 z) 2) (pow.f64 (log.f64 y) 2)))) (/.f64 (log.f64 (*.f64 z y)) (cbrt.f64 (-.f64 (pow.f64 (log.f64 z) 2) (pow.f64 (log.f64 y) 2))))) (2)) ((/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 z) 2) (pow.f64 (log.f64 y) 2))) (log.f64 (/.f64 z y))) (2)) ((/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 z) 3) (pow.f64 (log.f64 y) 3))) (neg.f64 (+.f64 (pow.f64 (log.f64 z) 2) (*.f64 (log.f64 y) (log.f64 (*.f64 z y)))))) (2)) ((/.f64 (+.f64 (sqrt.f64 (log.f64 y)) (sqrt.f64 (log.f64 z))) (/.f64 1 (-.f64 (sqrt.f64 (log.f64 z)) (sqrt.f64 (log.f64 y))))) (2)) ((/.f64 (-.f64 (pow.f64 (log.f64 z) 2) (*.f64 (neg.f64 (log.f64 y)) (neg.f64 (log.f64 y)))) (log.f64 (*.f64 z y))) (2)) ((/.f64 (+.f64 (pow.f64 (log.f64 z) 3) (pow.f64 (neg.f64 (log.f64 y)) 3)) (+.f64 (pow.f64 (log.f64 z) 2) (-.f64 (*.f64 (neg.f64 (log.f64 y)) (neg.f64 (log.f64 y))) (*.f64 (log.f64 z) (neg.f64 (log.f64 y)))))) (2)) ((/.f64 (*.f64 1 (neg.f64 (-.f64 (pow.f64 (log.f64 z) 2) (pow.f64 (log.f64 y) 2)))) (log.f64 (/.f64 z y))) (2)) 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simplify103.0ms (0.6%)

Algorithm
egg-herbie
Rules
1134×associate-+l-
930×associate-+r-
778×+-commutative
582×associate-/l*
446×times-frac
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04157897
110577225
253097177
Stop Event
node limit
Counts
223 → 248
Calls
Call 1
Inputs
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(*.f64 -1 (+.f64 (log.f64 z) (log.f64 y)))
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(/.f64 (/.f64 (-.f64 (pow.f64 (log.f64 z) 3) (pow.f64 (log.f64 y) 3)) 1) (+.f64 (pow.f64 (log.f64 z) 2) (*.f64 (log.f64 y) (log.f64 (*.f64 z y)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (log.f64 z) 3) (pow.f64 (log.f64 y) 3)) (sqrt.f64 (+.f64 (pow.f64 (log.f64 z) 2) (*.f64 (log.f64 y) (log.f64 (*.f64 z y)))))) (sqrt.f64 (+.f64 (pow.f64 (log.f64 z) 2) (*.f64 (log.f64 y) (log.f64 (*.f64 z y))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (log.f64 z) 3) (pow.f64 (log.f64 y) 3)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (log.f64 z) 2) (*.f64 (log.f64 y) (log.f64 (*.f64 z y))))) (cbrt.f64 (+.f64 (pow.f64 (log.f64 z) 2) (*.f64 (log.f64 y) (log.f64 (*.f64 z y))))))) (cbrt.f64 (+.f64 (pow.f64 (log.f64 z) 2) (*.f64 (log.f64 y) (log.f64 (*.f64 z y))))))
(/.f64 (/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 z) 2) (pow.f64 (log.f64 y) 2))) (cbrt.f64 (log.f64 (/.f64 z y)))) (pow.f64 (cbrt.f64 (log.f64 (/.f64 z y))) 2))
(/.f64 (/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 z) 2) (pow.f64 (log.f64 y) 2))) (-.f64 (pow.f64 (log.f64 z) 2) (pow.f64 (log.f64 y) 2))) (/.f64 1 (log.f64 (*.f64 z y))))
(/.f64 (/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 z) 2) (pow.f64 (log.f64 y) 2))) (-.f64 (pow.f64 (log.f64 z) 3) (pow.f64 (log.f64 y) 3))) (/.f64 1 (+.f64 (pow.f64 (log.f64 z) 2) (*.f64 (log.f64 y) (log.f64 (*.f64 z y))))))
(/.f64 (/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 z) 2) (pow.f64 (log.f64 y) 2))) (+.f64 (sqrt.f64 (log.f64 y)) (sqrt.f64 (log.f64 z)))) (-.f64 (sqrt.f64 (log.f64 z)) (sqrt.f64 (log.f64 y))))
(pow.f64 (log.f64 (/.f64 z y)) 1)
(pow.f64 (sqrt.f64 (log.f64 (/.f64 z y))) 2)
(pow.f64 (cbrt.f64 (log.f64 (/.f64 z y))) 3)
(pow.f64 (pow.f64 (log.f64 (/.f64 z y)) 3) 1/3)
(neg.f64 (log.f64 (*.f64 z y)))
(sqrt.f64 (pow.f64 (log.f64 (/.f64 z y)) 2))
(log.f64 (/.f64 z y))
(log.f64 (+.f64 1 (-.f64 (/.f64 z y) 1)))
(cbrt.f64 (pow.f64 (log.f64 (/.f64 z y)) 3))
(expm1.f64 (log1p.f64 (log.f64 (/.f64 z y))))
(exp.f64 (log.f64 (log.f64 (/.f64 z y))))
(log1p.f64 (-.f64 (/.f64 z y) 1))
(fma.f64 1 (log.f64 z) (neg.f64 (log.f64 y)))
(fma.f64 (sqrt.f64 (log.f64 z)) (sqrt.f64 (log.f64 z)) (neg.f64 (log.f64 y)))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 z)) 2) (cbrt.f64 (log.f64 z)) (neg.f64 (log.f64 y)))
(fma.f64 -1 (log.f64 z) (neg.f64 (log.f64 y)))
(+.f64 (/.f64 (log.f64 z) t) (neg.f64 (/.f64 (log.f64 y) t)))
(+.f64 (neg.f64 (/.f64 (log.f64 y) t)) (/.f64 (log.f64 z) t))
(-.f64 (/.f64 (log.f64 z) t) (/.f64 (log.f64 y) t))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 z y)) t))) 1)
(-.f64 (/.f64 0 t) (+.f64 (/.f64 (log.f64 z) t) (/.f64 (log.f64 y) t)))
(-.f64 (/.f64 0 t) (-.f64 (/.f64 (log.f64 z) t) (neg.f64 (/.f64 (log.f64 y) t))))
(*.f64 (log.f64 (/.f64 z y)) (/.f64 1 t))
(*.f64 (/.f64 (log.f64 (/.f64 z y)) t) 1)
(*.f64 1 (/.f64 (log.f64 (/.f64 z y)) t))
(*.f64 (sqrt.f64 (/.f64 (log.f64 (/.f64 z y)) t)) (sqrt.f64 (/.f64 (log.f64 (/.f64 z y)) t)))
(*.f64 (sqrt.f64 (log.f64 (/.f64 z y))) (/.f64 (sqrt.f64 (log.f64 (/.f64 z y))) t))
(*.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 z y)) t)) (pow.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 z y)) t)) 2))
(*.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 z y)) t)) (/.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 z y))) 2) (pow.f64 (cbrt.f64 t) 2)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 z y)) t)) 2) (cbrt.f64 (/.f64 (log.f64 (/.f64 z y)) t)))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 z y))) 2) (/.f64 (cbrt.f64 (log.f64 (/.f64 z y))) t))
(*.f64 (log.f64 (*.f64 z y)) (/.f64 -1 t))
(*.f64 (/.f64 1 t) (log.f64 (/.f64 z y)))
(*.f64 (/.f64 (sqrt.f64 (log.f64 (/.f64 z y))) t) (sqrt.f64 (log.f64 (/.f64 z y))))
(*.f64 (/.f64 (sqrt.f64 (log.f64 (/.f64 z y))) t) (/.f64 (sqrt.f64 (log.f64 (/.f64 z y))) 1))
(*.f64 (/.f64 (cbrt.f64 (log.f64 (/.f64 z y))) t) (pow.f64 (cbrt.f64 (log.f64 (/.f64 z y))) 2))
(*.f64 (/.f64 (cbrt.f64 (log.f64 (/.f64 z y))) t) (/.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 z y))) 2) 1))
(*.f64 (/.f64 (log.f64 (/.f64 z y)) (sqrt.f64 t)) (/.f64 1 (sqrt.f64 t)))
(*.f64 (/.f64 1 (sqrt.f64 t)) (/.f64 (log.f64 (/.f64 z y)) (sqrt.f64 t)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 t) 2)) (/.f64 (log.f64 (/.f64 z y)) (cbrt.f64 t)))
(*.f64 (/.f64 (log.f64 (/.f64 z y)) (cbrt.f64 t)) (/.f64 1 (pow.f64 (cbrt.f64 t) 2)))
(*.f64 (/.f64 -1 t) (log.f64 (*.f64 z y)))
(*.f64 (/.f64 (sqrt.f64 (log.f64 (/.f64 z y))) 1) (/.f64 (sqrt.f64 (log.f64 (/.f64 z y))) t))
(*.f64 (/.f64 (sqrt.f64 (log.f64 (/.f64 z y))) (pow.f64 (cbrt.f64 t) 2)) (/.f64 (sqrt.f64 (log.f64 (/.f64 z y))) (cbrt.f64 t)))
(*.f64 (/.f64 (sqrt.f64 (log.f64 (/.f64 z y))) (cbrt.f64 t)) (/.f64 (sqrt.f64 (log.f64 (/.f64 z y))) (pow.f64 (cbrt.f64 t) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 z y))) 2) 1) (/.f64 (cbrt.f64 (log.f64 (/.f64 z y))) t))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 z y))) 2) (sqrt.f64 t)) (/.f64 (cbrt.f64 (log.f64 (/.f64 z y))) (sqrt.f64 t)))
(*.f64 (/.f64 (cbrt.f64 (log.f64 (/.f64 z y))) (sqrt.f64 t)) (/.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 z y))) 2) (sqrt.f64 t)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 z y))) 2) (pow.f64 (cbrt.f64 t) 2)) (cbrt.f64 (/.f64 (log.f64 (/.f64 z y)) t)))
(pow.f64 (/.f64 (log.f64 (/.f64 z y)) t) 1)
(pow.f64 (sqrt.f64 (/.f64 (log.f64 (/.f64 z y)) t)) 2)
(pow.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 z y)) t)) 3)
(pow.f64 (pow.f64 (/.f64 (log.f64 (/.f64 z y)) t) 3) 1/3)
(pow.f64 (/.f64 t (log.f64 (/.f64 z y))) -1)
(neg.f64 (/.f64 (log.f64 (/.f64 z y)) (neg.f64 t)))
(sqrt.f64 (pow.f64 (/.f64 (log.f64 (/.f64 z y)) t) 2))
(log.f64 (pow.f64 (/.f64 z y) (/.f64 1 t)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (log.f64 (/.f64 z y)) t))))
(cbrt.f64 (pow.f64 (/.f64 (log.f64 (/.f64 z y)) t) 3))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 z y)) t)))
(exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 z y)) t)))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 (/.f64 z y)) t)))
Outputs
(*.f64 -1 (+.f64 (log.f64 z) (log.f64 y)))
(neg.f64 (log.f64 (*.f64 z y)))
(*.f64 -1 (+.f64 (log.f64 z) (log.f64 y)))
(neg.f64 (log.f64 (*.f64 z y)))
(*.f64 -1 (+.f64 (log.f64 z) (log.f64 y)))
(neg.f64 (log.f64 (*.f64 z y)))
(*.f64 -1 (+.f64 (log.f64 z) (log.f64 y)))
(neg.f64 (log.f64 (*.f64 z y)))
(*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 z))) (log.f64 y)))
(neg.f64 (log.f64 (*.f64 z y)))
(*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 z))) (log.f64 y)))
(neg.f64 (log.f64 (*.f64 z y)))
(*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 z))) (log.f64 y)))
(neg.f64 (log.f64 (*.f64 z y)))
(*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 z))) (log.f64 y)))
(neg.f64 (log.f64 (*.f64 z y)))
(*.f64 -1 (+.f64 (log.f64 -1) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 z))) (log.f64 y))))
(neg.f64 (+.f64 (log.f64 -1) (fma.f64 -1 (log.f64 (/.f64 -1 z)) (log.f64 y))))
(neg.f64 (+.f64 (log.f64 y) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 z)))))
(-.f64 (neg.f64 (log.f64 y)) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 z))))
(*.f64 -1 (+.f64 (log.f64 -1) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 z))) (log.f64 y))))
(neg.f64 (+.f64 (log.f64 -1) (fma.f64 -1 (log.f64 (/.f64 -1 z)) (log.f64 y))))
(neg.f64 (+.f64 (log.f64 y) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 z)))))
(-.f64 (neg.f64 (log.f64 y)) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 z))))
(*.f64 -1 (+.f64 (log.f64 -1) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 z))) (log.f64 y))))
(neg.f64 (+.f64 (log.f64 -1) (fma.f64 -1 (log.f64 (/.f64 -1 z)) (log.f64 y))))
(neg.f64 (+.f64 (log.f64 y) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 z)))))
(-.f64 (neg.f64 (log.f64 y)) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 z))))
(*.f64 -1 (+.f64 (log.f64 -1) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 z))) (log.f64 y))))
(neg.f64 (+.f64 (log.f64 -1) (fma.f64 -1 (log.f64 (/.f64 -1 z)) (log.f64 y))))
(neg.f64 (+.f64 (log.f64 y) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 z)))))
(-.f64 (neg.f64 (log.f64 y)) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 z))))
(*.f64 -1 (+.f64 (log.f64 z) (log.f64 y)))
(neg.f64 (log.f64 (*.f64 z y)))
(*.f64 -1 (+.f64 (log.f64 z) (log.f64 y)))
(neg.f64 (log.f64 (*.f64 z y)))
(*.f64 -1 (+.f64 (log.f64 z) (log.f64 y)))
(neg.f64 (log.f64 (*.f64 z y)))
(*.f64 -1 (+.f64 (log.f64 z) (log.f64 y)))
(neg.f64 (log.f64 (*.f64 z y)))
(*.f64 -1 (+.f64 (log.f64 z) (*.f64 -1 (log.f64 (/.f64 1 y)))))
(neg.f64 (log.f64 (*.f64 z y)))
(*.f64 -1 (+.f64 (log.f64 z) (*.f64 -1 (log.f64 (/.f64 1 y)))))
(neg.f64 (log.f64 (*.f64 z y)))
(*.f64 -1 (+.f64 (log.f64 z) (*.f64 -1 (log.f64 (/.f64 1 y)))))
(neg.f64 (log.f64 (*.f64 z y)))
(*.f64 -1 (+.f64 (log.f64 z) (*.f64 -1 (log.f64 (/.f64 1 y)))))
(neg.f64 (log.f64 (*.f64 z y)))
(*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (+.f64 (log.f64 -1) (log.f64 z))))
(neg.f64 (fma.f64 -1 (log.f64 (/.f64 -1 y)) (+.f64 (log.f64 z) (log.f64 -1))))
(neg.f64 (-.f64 (+.f64 (log.f64 z) (log.f64 -1)) (log.f64 (/.f64 -1 y))))
(neg.f64 (+.f64 (log.f64 z) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y)))))
(*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (+.f64 (log.f64 -1) (log.f64 z))))
(neg.f64 (fma.f64 -1 (log.f64 (/.f64 -1 y)) (+.f64 (log.f64 z) (log.f64 -1))))
(neg.f64 (-.f64 (+.f64 (log.f64 z) (log.f64 -1)) (log.f64 (/.f64 -1 y))))
(neg.f64 (+.f64 (log.f64 z) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y)))))
(*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (+.f64 (log.f64 -1) (log.f64 z))))
(neg.f64 (fma.f64 -1 (log.f64 (/.f64 -1 y)) (+.f64 (log.f64 z) (log.f64 -1))))
(neg.f64 (-.f64 (+.f64 (log.f64 z) (log.f64 -1)) (log.f64 (/.f64 -1 y))))
(neg.f64 (+.f64 (log.f64 z) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y)))))
(*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (+.f64 (log.f64 -1) (log.f64 z))))
(neg.f64 (fma.f64 -1 (log.f64 (/.f64 -1 y)) (+.f64 (log.f64 z) (log.f64 -1))))
(neg.f64 (-.f64 (+.f64 (log.f64 z) (log.f64 -1)) (log.f64 (/.f64 -1 y))))
(neg.f64 (+.f64 (log.f64 z) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y)))))
(*.f64 -1 (/.f64 (+.f64 (log.f64 z) (log.f64 y)) t))
(neg.f64 (/.f64 (log.f64 (*.f64 z y)) t))
(/.f64 (neg.f64 (log.f64 (*.f64 z y))) t)
(*.f64 -1 (/.f64 (+.f64 (log.f64 z) (log.f64 y)) t))
(neg.f64 (/.f64 (log.f64 (*.f64 z y)) t))
(/.f64 (neg.f64 (log.f64 (*.f64 z y))) t)
(*.f64 -1 (/.f64 (+.f64 (log.f64 z) (log.f64 y)) t))
(neg.f64 (/.f64 (log.f64 (*.f64 z y)) t))
(/.f64 (neg.f64 (log.f64 (*.f64 z y))) t)
(*.f64 -1 (/.f64 (+.f64 (log.f64 z) (log.f64 y)) t))
(neg.f64 (/.f64 (log.f64 (*.f64 z y)) t))
(/.f64 (neg.f64 (log.f64 (*.f64 z y))) t)
(*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 z))) (log.f64 y)) t))
(neg.f64 (/.f64 (log.f64 (*.f64 z y)) t))
(/.f64 (neg.f64 (log.f64 (*.f64 z y))) t)
(*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 z))) (log.f64 y)) t))
(neg.f64 (/.f64 (log.f64 (*.f64 z y)) t))
(/.f64 (neg.f64 (log.f64 (*.f64 z y))) t)
(*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 z))) (log.f64 y)) t))
(neg.f64 (/.f64 (log.f64 (*.f64 z y)) t))
(/.f64 (neg.f64 (log.f64 (*.f64 z y))) t)
(*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 z))) (log.f64 y)) t))
(neg.f64 (/.f64 (log.f64 (*.f64 z y)) t))
(/.f64 (neg.f64 (log.f64 (*.f64 z y))) t)
(*.f64 -1 (/.f64 (+.f64 (log.f64 -1) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 z))) (log.f64 y))) t))
(/.f64 (neg.f64 (+.f64 (log.f64 -1) (fma.f64 -1 (log.f64 (/.f64 -1 z)) (log.f64 y)))) t)
(/.f64 (neg.f64 (+.f64 (log.f64 y) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 z))))) t)
(/.f64 (-.f64 (neg.f64 (log.f64 y)) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 z)))) t)
(*.f64 -1 (/.f64 (+.f64 (log.f64 -1) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 z))) (log.f64 y))) t))
(/.f64 (neg.f64 (+.f64 (log.f64 -1) (fma.f64 -1 (log.f64 (/.f64 -1 z)) (log.f64 y)))) t)
(/.f64 (neg.f64 (+.f64 (log.f64 y) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 z))))) t)
(/.f64 (-.f64 (neg.f64 (log.f64 y)) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 z)))) t)
(*.f64 -1 (/.f64 (+.f64 (log.f64 -1) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 z))) (log.f64 y))) t))
(/.f64 (neg.f64 (+.f64 (log.f64 -1) (fma.f64 -1 (log.f64 (/.f64 -1 z)) (log.f64 y)))) t)
(/.f64 (neg.f64 (+.f64 (log.f64 y) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 z))))) t)
(/.f64 (-.f64 (neg.f64 (log.f64 y)) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 z)))) t)
(*.f64 -1 (/.f64 (+.f64 (log.f64 -1) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 z))) (log.f64 y))) t))
(/.f64 (neg.f64 (+.f64 (log.f64 -1) (fma.f64 -1 (log.f64 (/.f64 -1 z)) (log.f64 y)))) t)
(/.f64 (neg.f64 (+.f64 (log.f64 y) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 z))))) t)
(/.f64 (-.f64 (neg.f64 (log.f64 y)) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 z)))) t)
(*.f64 -1 (/.f64 (+.f64 (log.f64 z) (log.f64 y)) t))
(neg.f64 (/.f64 (log.f64 (*.f64 z y)) t))
(/.f64 (neg.f64 (log.f64 (*.f64 z y))) t)
(*.f64 -1 (/.f64 (+.f64 (log.f64 z) (log.f64 y)) t))
(neg.f64 (/.f64 (log.f64 (*.f64 z y)) t))
(/.f64 (neg.f64 (log.f64 (*.f64 z y))) t)
(*.f64 -1 (/.f64 (+.f64 (log.f64 z) (log.f64 y)) t))
(neg.f64 (/.f64 (log.f64 (*.f64 z y)) t))
(/.f64 (neg.f64 (log.f64 (*.f64 z y))) t)
(*.f64 -1 (/.f64 (+.f64 (log.f64 z) (log.f64 y)) t))
(neg.f64 (/.f64 (log.f64 (*.f64 z y)) t))
(/.f64 (neg.f64 (log.f64 (*.f64 z y))) t)
(*.f64 -1 (/.f64 (+.f64 (log.f64 z) (*.f64 -1 (log.f64 (/.f64 1 y)))) t))
(neg.f64 (/.f64 (log.f64 (*.f64 z y)) t))
(/.f64 (neg.f64 (log.f64 (*.f64 z y))) t)
(*.f64 -1 (/.f64 (+.f64 (log.f64 z) (*.f64 -1 (log.f64 (/.f64 1 y)))) t))
(neg.f64 (/.f64 (log.f64 (*.f64 z y)) t))
(/.f64 (neg.f64 (log.f64 (*.f64 z y))) t)
(*.f64 -1 (/.f64 (+.f64 (log.f64 z) (*.f64 -1 (log.f64 (/.f64 1 y)))) t))
(neg.f64 (/.f64 (log.f64 (*.f64 z y)) t))
(/.f64 (neg.f64 (log.f64 (*.f64 z y))) t)
(*.f64 -1 (/.f64 (+.f64 (log.f64 z) (*.f64 -1 (log.f64 (/.f64 1 y)))) t))
(neg.f64 (/.f64 (log.f64 (*.f64 z y)) t))
(/.f64 (neg.f64 (log.f64 (*.f64 z y))) t)
(*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (+.f64 (log.f64 -1) (log.f64 z))) t))
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(/.f64 (/.f64 (log.f64 (/.f64 z y)) (sqrt.f64 t)) (sqrt.f64 t))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 z y))) 2) (pow.f64 (cbrt.f64 t) 2)) (cbrt.f64 (/.f64 (log.f64 (/.f64 z y)) t)))
(*.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 z y)) t)) (/.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 z y))) 2) (pow.f64 (cbrt.f64 t) 2)))
(pow.f64 (/.f64 (log.f64 (/.f64 z y)) t) 1)
(-.f64 (/.f64 (log.f64 z) t) (/.f64 (log.f64 y) t))
(/.f64 (log.f64 (/.f64 z y)) t)
(pow.f64 (sqrt.f64 (/.f64 (log.f64 (/.f64 z y)) t)) 2)
(-.f64 (/.f64 (log.f64 z) t) (/.f64 (log.f64 y) t))
(/.f64 (log.f64 (/.f64 z y)) t)
(pow.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 z y)) t)) 3)
(-.f64 (/.f64 (log.f64 z) t) (/.f64 (log.f64 y) t))
(/.f64 (log.f64 (/.f64 z y)) t)
(pow.f64 (pow.f64 (/.f64 (log.f64 (/.f64 z y)) t) 3) 1/3)
(-.f64 (/.f64 (log.f64 z) t) (/.f64 (log.f64 y) t))
(/.f64 (log.f64 (/.f64 z y)) t)
(pow.f64 (/.f64 t (log.f64 (/.f64 z y))) -1)
(-.f64 (/.f64 (log.f64 z) t) (/.f64 (log.f64 y) t))
(/.f64 (log.f64 (/.f64 z y)) t)
(neg.f64 (/.f64 (log.f64 (/.f64 z y)) (neg.f64 t)))
(-.f64 (/.f64 (log.f64 z) t) (/.f64 (log.f64 y) t))
(/.f64 (log.f64 (/.f64 z y)) t)
(sqrt.f64 (pow.f64 (/.f64 (log.f64 (/.f64 z y)) t) 2))
(fabs.f64 (/.f64 (log.f64 (/.f64 z y)) t))
(log.f64 (pow.f64 (/.f64 z y) (/.f64 1 t)))
(-.f64 (/.f64 (log.f64 z) t) (/.f64 (log.f64 y) t))
(/.f64 (log.f64 (/.f64 z y)) t)
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (log.f64 (/.f64 z y)) t))))
(-.f64 (/.f64 (log.f64 z) t) (/.f64 (log.f64 y) t))
(/.f64 (log.f64 (/.f64 z y)) t)
(cbrt.f64 (pow.f64 (/.f64 (log.f64 (/.f64 z y)) t) 3))
(-.f64 (/.f64 (log.f64 z) t) (/.f64 (log.f64 y) t))
(/.f64 (log.f64 (/.f64 z y)) t)
(expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 z y)) t)))
(-.f64 (/.f64 (log.f64 z) t) (/.f64 (log.f64 y) t))
(/.f64 (log.f64 (/.f64 z y)) t)
(exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 z y)) t)))
(-.f64 (/.f64 (log.f64 z) t) (/.f64 (log.f64 y) t))
(/.f64 (log.f64 (/.f64 z y)) t)
(log1p.f64 (expm1.f64 (/.f64 (log.f64 (/.f64 z y)) t)))
(-.f64 (/.f64 (log.f64 z) t) (/.f64 (log.f64 y) t))
(/.f64 (log.f64 (/.f64 z y)) t)

eval770.0ms (4.3%)

Compiler

Compiled 45015 to 21953 computations (51.2% saved)

prune554.0ms (3.1%)

Pruning

38 alts after pruning (27 fresh and 11 done)

PrunedKeptTotal
New1423111434
Fresh11617
Picked011
Done11011
Total1425381463
Accurracy
100.0%
Counts
1463 → 38
Alt Table
Click to see full alt table
StatusAccuracyProgram
97.0%
(pow.f64 (cbrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) 3)
2.9%
(/.f64 (-.f64 (neg.f64 (log.f64 z)) (log.f64 y)) t)
11.4%
(/.f64 (*.f64 (neg.f64 z) y) t)
2.7%
(/.f64 (*.f64 y z) t)
28.5%
(/.f64 (neg.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) t)
16.7%
(/.f64 (neg.f64 (log1p.f64 (*.f64 y (+.f64 z (*.f64 (*.f64 z z) 1/2))))) t)
17.6%
(/.f64 (neg.f64 (log1p.f64 (*.f64 y z))) t)
15.5%
(/.f64 (neg.f64 (expm1.f64 z)) (/.f64 t y))
0.9%
(/.f64 (log1p.f64 (-.f64 (/.f64 z y) 1)) t)
2.7%
(/.f64 (log.f64 (/.f64 z y)) t)
81.1%
(/.f64 1 (/.f64 1 (-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t)))))
2.9%
(-.f64 (/.f64 (neg.f64 (log.f64 z)) t) (/.f64 (log.f64 y) t))
10.1%
(-.f64 (*.f64 (/.f64 1/2 t) (*.f64 (*.f64 y z) (*.f64 y z))) (*.f64 z (/.f64 y t)))
59.7%
(-.f64 x (pow.f64 (sqrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 2))
98.7%
(-.f64 x (pow.f64 (cbrt.f64 (/.f64 t (log1p.f64 (*.f64 (expm1.f64 z) y)))) -3))
70.6%
(-.f64 x (/.f64 (/.f64 z t) (/.f64 1 y)))
70.5%
(-.f64 x (/.f64 (/.f64 y (/.f64 1 z)) t))
99.1%
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))
81.2%
(-.f64 x (/.f64 (expm1.f64 z) (/.f64 t y)))
70.6%
(-.f64 x (/.f64 y (/.f64 t z)))
79.4%
(-.f64 x (/.f64 1 (/.f64 t (log1p.f64 (*.f64 z y)))))
99.1%
(-.f64 x (/.f64 1 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z))))))
88.2%
(-.f64 x (/.f64 1 (+.f64 (/.f64 t (*.f64 (expm1.f64 z) y)) (*.f64 t 1/2))))
65.8%
(-.f64 x (+.f64 (/.f64 y (/.f64 t z)) (*.f64 1/2 (/.f64 y (/.f64 t (*.f64 z z))))))
15.6%
(*.f64 (/.f64 (neg.f64 y) t) (expm1.f64 z))
10.3%
(*.f64 (/.f64 (neg.f64 y) t) z)
7.5%
(*.f64 (/.f64 -1 t) (log.f64 (*.f64 z y)))
11.3%
(*.f64 (*.f64 y z) (/.f64 1 (neg.f64 t)))
28.4%
(*.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (/.f64 1 (neg.f64 t)))
17.6%
(*.f64 (log1p.f64 (*.f64 y z)) (/.f64 1 (neg.f64 t)))
10.3%
(neg.f64 (/.f64 (/.f64 y t) (/.f64 1 z)))
8.3%
(neg.f64 (/.f64 (neg.f64 (/.f64 (*.f64 z (neg.f64 (*.f64 y y))) t)) y))
12.0%
(neg.f64 (/.f64 y (/.f64 t z)))
12.0%
(neg.f64 (*.f64 (neg.f64 y) (/.f64 1 (/.f64 (neg.f64 t) z))))
12.0%
(neg.f64 (*.f64 (neg.f64 y) (*.f64 (/.f64 1 t) (neg.f64 z))))
7.3%
(neg.f64 (*.f64 (neg.f64 y) (*.f64 t (/.f64 z (neg.f64 (*.f64 t t))))))
2.4%
(fabs.f64 (/.f64 (log.f64 (/.f64 z y)) t))
72.6%
x
Compiler

Compiled 503 to 360 computations (28.4% saved)

regimes193.0ms (1.1%)

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

9 calls:

45.0ms
(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 1 y) (*.f64 y (exp.f64 z)))) t))
28.0ms
y
27.0ms
t
27.0ms
x
26.0ms
z
Results
AccuracySegmentsBranch
99.1%1x
99.1%1y
99.1%1z
99.1%1t
99.1%1(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 1 y) (*.f64 y (exp.f64 z)))) t))
99.1%1(/.f64 (log.f64 (+.f64 (-.f64 1 y) (*.f64 y (exp.f64 z)))) t)
99.1%1(log.f64 (+.f64 (-.f64 1 y) (*.f64 y (exp.f64 z))))
99.1%1(+.f64 (-.f64 1 y) (*.f64 y (exp.f64 z)))
99.1%1(exp.f64 z)
Compiler

Compiled 661 to 299 computations (54.8% saved)

regimes285.0ms (1.6%)

Counts
38 → 2
Calls
Call 1
Inputs
x
(/.f64 (*.f64 y z) t)
(neg.f64 (/.f64 y (/.f64 t z)))
(*.f64 (/.f64 (neg.f64 y) t) z)
(/.f64 (neg.f64 (*.f64 y z)) t)
(/.f64 (*.f64 (neg.f64 z) y) t)
(-.f64 x (*.f64 (/.f64 y t) z))
(-.f64 x (/.f64 y (/.f64 t z)))
(-.f64 x (/.f64 (*.f64 y z) t))
(neg.f64 (/.f64 (/.f64 y t) (/.f64 1 z)))
(*.f64 (*.f64 y z) (/.f64 1 (neg.f64 t)))
(-.f64 x (*.f64 (*.f64 (/.f64 1 t) y) z))
(-.f64 x (/.f64 (/.f64 y (/.f64 1 z)) t))
(-.f64 x (/.f64 (/.f64 z t) (/.f64 1 y)))
(neg.f64 (*.f64 (neg.f64 y) (*.f64 (/.f64 1 t) (neg.f64 z))))
(neg.f64 (*.f64 (neg.f64 y) (/.f64 1 (/.f64 (neg.f64 t) z))))
(neg.f64 (*.f64 (neg.f64 y) (*.f64 t (/.f64 z (neg.f64 (*.f64 t t))))))
(neg.f64 (/.f64 (neg.f64 (/.f64 (*.f64 z (neg.f64 (*.f64 y y))) t)) y))
(-.f64 x (+.f64 (/.f64 y (/.f64 t z)) (*.f64 1/2 (/.f64 y (/.f64 t (*.f64 z z))))))
(-.f64 (*.f64 (/.f64 1/2 t) (*.f64 (*.f64 y z) (*.f64 y z))) (*.f64 z (/.f64 y t)))
(-.f64 (*.f64 -1/2 (*.f64 (/.f64 (*.f64 z z) t) (-.f64 y (*.f64 y y)))) (*.f64 (/.f64 y t) z))
(/.f64 (log.f64 (/.f64 z y)) t)
(*.f64 (/.f64 (neg.f64 y) t) (expm1.f64 z))
(/.f64 (neg.f64 (expm1.f64 z)) (/.f64 t y))
(/.f64 (neg.f64 (log1p.f64 (*.f64 y z))) t)
(*.f64 (/.f64 -1 t) (log.f64 (*.f64 z y)))
(-.f64 x (/.f64 (expm1.f64 z) (/.f64 t y)))
(-.f64 x (/.f64 (log1p.f64 (*.f64 z y)) t))
(/.f64 (log1p.f64 (-.f64 (/.f64 z y) 1)) t)
(*.f64 (log1p.f64 (*.f64 y z)) (/.f64 1 (neg.f64 t)))
(-.f64 x (/.f64 1 (/.f64 t (log1p.f64 (*.f64 z y)))))
(-.f64 x (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(/.f64 1 (/.f64 1 (-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t)))))
(/.f64 (neg.f64 (log1p.f64 (*.f64 y (+.f64 z (*.f64 (*.f64 z z) 1/2))))) t)
(-.f64 x (/.f64 1 (+.f64 (/.f64 t (*.f64 (expm1.f64 z) y)) (*.f64 t 1/2))))
(fabs.f64 (/.f64 (log.f64 (/.f64 z y)) t))
(/.f64 (neg.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) t)
(/.f64 (-.f64 (neg.f64 (log.f64 z)) (log.f64 y)) t)
Outputs
(-.f64 x (/.f64 1 (+.f64 (/.f64 t (*.f64 (expm1.f64 z) y)) (*.f64 t 1/2))))
(-.f64 x (/.f64 (log1p.f64 (*.f64 z y)) t))
Calls

5 calls:

104.0ms
y
62.0ms
z
59.0ms
x
45.0ms
t
5.0ms
(exp.f64 z)
Results
AccuracySegmentsBranch
89.7%3x
92.3%3y
92.9%2z
88.2%1t
92.9%2(exp.f64 z)
Compiler

Compiled 371 to 176 computations (52.6% saved)

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
5.056450042032686e-13
0.9999999957011303
Compiler

Compiled 24 to 18 computations (25% saved)

regimes264.0ms (1.5%)

Counts
34 → 3
Calls
Call 1
Inputs
x
(/.f64 (*.f64 y z) t)
(neg.f64 (/.f64 y (/.f64 t z)))
(*.f64 (/.f64 (neg.f64 y) t) z)
(/.f64 (neg.f64 (*.f64 y z)) t)
(/.f64 (*.f64 (neg.f64 z) y) t)
(-.f64 x (*.f64 (/.f64 y t) z))
(-.f64 x (/.f64 y (/.f64 t z)))
(-.f64 x (/.f64 (*.f64 y z) t))
(neg.f64 (/.f64 (/.f64 y t) (/.f64 1 z)))
(*.f64 (*.f64 y z) (/.f64 1 (neg.f64 t)))
(-.f64 x (*.f64 (*.f64 (/.f64 1 t) y) z))
(-.f64 x (/.f64 (/.f64 y (/.f64 1 z)) t))
(-.f64 x (/.f64 (/.f64 z t) (/.f64 1 y)))
(neg.f64 (*.f64 (neg.f64 y) (*.f64 (/.f64 1 t) (neg.f64 z))))
(neg.f64 (*.f64 (neg.f64 y) (/.f64 1 (/.f64 (neg.f64 t) z))))
(neg.f64 (*.f64 (neg.f64 y) (*.f64 t (/.f64 z (neg.f64 (*.f64 t t))))))
(neg.f64 (/.f64 (neg.f64 (/.f64 (*.f64 z (neg.f64 (*.f64 y y))) t)) y))
(-.f64 x (+.f64 (/.f64 y (/.f64 t z)) (*.f64 1/2 (/.f64 y (/.f64 t (*.f64 z z))))))
(-.f64 (*.f64 (/.f64 1/2 t) (*.f64 (*.f64 y z) (*.f64 y z))) (*.f64 z (/.f64 y t)))
(-.f64 (*.f64 -1/2 (*.f64 (/.f64 (*.f64 z z) t) (-.f64 y (*.f64 y y)))) (*.f64 (/.f64 y t) z))
(/.f64 (log.f64 (/.f64 z y)) t)
(*.f64 (/.f64 (neg.f64 y) t) (expm1.f64 z))
(/.f64 (neg.f64 (expm1.f64 z)) (/.f64 t y))
(/.f64 (neg.f64 (log1p.f64 (*.f64 y z))) t)
(*.f64 (/.f64 -1 t) (log.f64 (*.f64 z y)))
(-.f64 x (/.f64 (expm1.f64 z) (/.f64 t y)))
(-.f64 x (/.f64 (log1p.f64 (*.f64 z y)) t))
(/.f64 (log1p.f64 (-.f64 (/.f64 z y) 1)) t)
(*.f64 (log1p.f64 (*.f64 y z)) (/.f64 1 (neg.f64 t)))
(-.f64 x (/.f64 1 (/.f64 t (log1p.f64 (*.f64 z y)))))
(-.f64 x (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(/.f64 1 (/.f64 1 (-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t)))))
(/.f64 (neg.f64 (log1p.f64 (*.f64 y (+.f64 z (*.f64 (*.f64 z z) 1/2))))) t)
Outputs
(-.f64 x (/.f64 (log1p.f64 (*.f64 z y)) t))
(-.f64 x (/.f64 (expm1.f64 z) (/.f64 t y)))
(-.f64 x (/.f64 (log1p.f64 (*.f64 z y)) t))
Calls

5 calls:

92.0ms
y
47.0ms
(exp.f64 z)
45.0ms
x
43.0ms
t
30.0ms
z
Results
AccuracySegmentsBranch
83.9%2x
91.3%3y
90.4%2z
85.4%3t
90.2%2(exp.f64 z)
Compiler

Compiled 334 to 159 computations (52.4% saved)

bsearch77.0ms (0.4%)

Algorithm
binary-search
Stop Event
predicate-same
narrow-enough
Steps
TimeLeftRight
11.0ms
29538103.297988232
6.657989302229567e+24
66.0ms
-2783998389.695542
-144513.24067173287
Results
57.0ms122×body256valid
10.0ms17×body1024valid
7.0ms21×body512valid
2.0ms14×body256invalid
Compiler

Compiled 284 to 198 computations (30.3% saved)

regimes107.0ms (0.6%)

Counts
27 → 3
Calls
Call 1
Inputs
x
(/.f64 (*.f64 y z) t)
(neg.f64 (/.f64 y (/.f64 t z)))
(*.f64 (/.f64 (neg.f64 y) t) z)
(/.f64 (neg.f64 (*.f64 y z)) t)
(/.f64 (*.f64 (neg.f64 z) y) t)
(-.f64 x (*.f64 (/.f64 y t) z))
(-.f64 x (/.f64 y (/.f64 t z)))
(-.f64 x (/.f64 (*.f64 y z) t))
(neg.f64 (/.f64 (/.f64 y t) (/.f64 1 z)))
(*.f64 (*.f64 y z) (/.f64 1 (neg.f64 t)))
(-.f64 x (*.f64 (*.f64 (/.f64 1 t) y) z))
(-.f64 x (/.f64 (/.f64 y (/.f64 1 z)) t))
(-.f64 x (/.f64 (/.f64 z t) (/.f64 1 y)))
(neg.f64 (*.f64 (neg.f64 y) (*.f64 (/.f64 1 t) (neg.f64 z))))
(neg.f64 (*.f64 (neg.f64 y) (/.f64 1 (/.f64 (neg.f64 t) z))))
(neg.f64 (*.f64 (neg.f64 y) (*.f64 t (/.f64 z (neg.f64 (*.f64 t t))))))
(neg.f64 (/.f64 (neg.f64 (/.f64 (*.f64 z (neg.f64 (*.f64 y y))) t)) y))
(-.f64 x (+.f64 (/.f64 y (/.f64 t z)) (*.f64 1/2 (/.f64 y (/.f64 t (*.f64 z z))))))
(-.f64 (*.f64 (/.f64 1/2 t) (*.f64 (*.f64 y z) (*.f64 y z))) (*.f64 z (/.f64 y t)))
(-.f64 (*.f64 -1/2 (*.f64 (/.f64 (*.f64 z z) t) (-.f64 y (*.f64 y y)))) (*.f64 (/.f64 y t) z))
(/.f64 (log.f64 (/.f64 z y)) t)
(*.f64 (/.f64 (neg.f64 y) t) (expm1.f64 z))
(/.f64 (neg.f64 (expm1.f64 z)) (/.f64 t y))
(/.f64 (neg.f64 (log1p.f64 (*.f64 y z))) t)
(*.f64 (/.f64 -1 t) (log.f64 (*.f64 z y)))
(-.f64 x (/.f64 (expm1.f64 z) (/.f64 t y)))
Outputs
x
(-.f64 x (/.f64 (expm1.f64 z) (/.f64 t y)))
(/.f64 (neg.f64 (log1p.f64 (*.f64 y z))) t)
Calls

4 calls:

39.0ms
y
25.0ms
x
24.0ms
z
13.0ms
t
Results
AccuracySegmentsBranch
82.9%2x
85.6%3y
83.7%2z
81.2%1t
Compiler

Compiled 258 to 121 computations (53.1% saved)

bsearch122.0ms (0.7%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
80.0ms
5.817578240345851e+166
6.254812116245293e+172
42.0ms
-9.288582377347149e+104
-7.545185256987554e+99
Results
52.0ms115×body1024valid
27.0ms80×body512valid
15.0ms124×body256invalid
13.0ms89×body256valid
8.0ms33×body512invalid
3.0msbody2048valid
0.0msbody1024invalid
Compiler

Compiled 420 to 306 computations (27.1% saved)

regimes163.0ms (0.9%)

Counts
26 → 2
Calls
Call 1
Inputs
x
(/.f64 (*.f64 y z) t)
(neg.f64 (/.f64 y (/.f64 t z)))
(*.f64 (/.f64 (neg.f64 y) t) z)
(/.f64 (neg.f64 (*.f64 y z)) t)
(/.f64 (*.f64 (neg.f64 z) y) t)
(-.f64 x (*.f64 (/.f64 y t) z))
(-.f64 x (/.f64 y (/.f64 t z)))
(-.f64 x (/.f64 (*.f64 y z) t))
(neg.f64 (/.f64 (/.f64 y t) (/.f64 1 z)))
(*.f64 (*.f64 y z) (/.f64 1 (neg.f64 t)))
(-.f64 x (*.f64 (*.f64 (/.f64 1 t) y) z))
(-.f64 x (/.f64 (/.f64 y (/.f64 1 z)) t))
(-.f64 x (/.f64 (/.f64 z t) (/.f64 1 y)))
(neg.f64 (*.f64 (neg.f64 y) (*.f64 (/.f64 1 t) (neg.f64 z))))
(neg.f64 (*.f64 (neg.f64 y) (/.f64 1 (/.f64 (neg.f64 t) z))))
(neg.f64 (*.f64 (neg.f64 y) (*.f64 t (/.f64 z (neg.f64 (*.f64 t t))))))
(neg.f64 (/.f64 (neg.f64 (/.f64 (*.f64 z (neg.f64 (*.f64 y y))) t)) y))
(-.f64 x (+.f64 (/.f64 y (/.f64 t z)) (*.f64 1/2 (/.f64 y (/.f64 t (*.f64 z z))))))
(-.f64 (*.f64 (/.f64 1/2 t) (*.f64 (*.f64 y z) (*.f64 y z))) (*.f64 z (/.f64 y t)))
(-.f64 (*.f64 -1/2 (*.f64 (/.f64 (*.f64 z z) t) (-.f64 y (*.f64 y y)))) (*.f64 (/.f64 y t) z))
(/.f64 (log.f64 (/.f64 z y)) t)
(*.f64 (/.f64 (neg.f64 y) t) (expm1.f64 z))
(/.f64 (neg.f64 (expm1.f64 z)) (/.f64 t y))
(/.f64 (neg.f64 (log1p.f64 (*.f64 y z))) t)
(*.f64 (/.f64 -1 t) (log.f64 (*.f64 z y)))
Outputs
x
(-.f64 x (+.f64 (/.f64 y (/.f64 t z)) (*.f64 1/2 (/.f64 y (/.f64 t (*.f64 z z))))))
Calls

4 calls:

51.0ms
x
46.0ms
y
36.0ms
t
24.0ms
z
Results
AccuracySegmentsBranch
77.1%3x
76.5%4y
80.8%2z
76.2%3t
Compiler

Compiled 250 to 119 computations (52.4% saved)

bsearch42.0ms (0.2%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
42.0ms
-1.971021781710161e-24
-9.835412131741966e-34
Results
18.0ms113×body256valid
7.0ms12×body1024valid
6.0ms18×body512valid
2.0ms15×body256invalid
1.0msbody2048valid
Compiler

Compiled 276 to 189 computations (31.5% saved)

regimes98.0ms (0.5%)

Counts
18 → 2
Calls
Call 1
Inputs
x
(/.f64 (*.f64 y z) t)
(neg.f64 (/.f64 y (/.f64 t z)))
(*.f64 (/.f64 (neg.f64 y) t) z)
(/.f64 (neg.f64 (*.f64 y z)) t)
(/.f64 (*.f64 (neg.f64 z) y) t)
(-.f64 x (*.f64 (/.f64 y t) z))
(-.f64 x (/.f64 y (/.f64 t z)))
(-.f64 x (/.f64 (*.f64 y z) t))
(neg.f64 (/.f64 (/.f64 y t) (/.f64 1 z)))
(*.f64 (*.f64 y z) (/.f64 1 (neg.f64 t)))
(-.f64 x (*.f64 (*.f64 (/.f64 1 t) y) z))
(-.f64 x (/.f64 (/.f64 y (/.f64 1 z)) t))
(-.f64 x (/.f64 (/.f64 z t) (/.f64 1 y)))
(neg.f64 (*.f64 (neg.f64 y) (*.f64 (/.f64 1 t) (neg.f64 z))))
(neg.f64 (*.f64 (neg.f64 y) (/.f64 1 (/.f64 (neg.f64 t) z))))
(neg.f64 (*.f64 (neg.f64 y) (*.f64 t (/.f64 z (neg.f64 (*.f64 t t))))))
(neg.f64 (/.f64 (neg.f64 (/.f64 (*.f64 z (neg.f64 (*.f64 y y))) t)) y))
Outputs
x
(-.f64 x (/.f64 y (/.f64 t z)))
Calls

4 calls:

34.0ms
x
26.0ms
t
18.0ms
z
17.0ms
y
Results
AccuracySegmentsBranch
77.1%3x
74.9%2y
80.7%2z
76.2%3t
Compiler

Compiled 162 to 84 computations (48.1% saved)

bsearch27.0ms (0.2%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
27.0ms
-34449.28163877124
-617.825868273634
Results
15.0ms94×body256valid
6.0msbody1024valid
3.0msbody512valid
2.0ms16×body256invalid
Compiler

Compiled 150 to 109 computations (27.3% saved)

regimes52.0ms (0.3%)

Counts
7 → 2
Calls
Call 1
Inputs
x
(/.f64 (*.f64 y z) t)
(neg.f64 (/.f64 y (/.f64 t z)))
(*.f64 (/.f64 (neg.f64 y) t) z)
(/.f64 (neg.f64 (*.f64 y z)) t)
(/.f64 (*.f64 (neg.f64 z) y) t)
(-.f64 x (*.f64 (/.f64 y t) z))
Outputs
x
(-.f64 x (*.f64 (/.f64 y t) z))
Calls

4 calls:

13.0ms
t
13.0ms
x
13.0ms
y
11.0ms
z
Results
AccuracySegmentsBranch
76.2%3x
74.5%3y
78.2%2z
75.6%3t
Compiler

Compiled 61 to 36 computations (41% saved)

bsearch29.0ms (0.2%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
29.0ms
-34449.28163877124
-617.825868273634
Results
14.0ms88×body256valid
5.0msbody1024valid
5.0ms14×body512valid
3.0ms22×body256invalid
1.0msbody2048valid
Compiler

Compiled 150 to 109 computations (27.3% saved)

regimes25.0ms (0.1%)

Accuracy

Total -45.3b remaining (-258.7%)

Threshold costs -45.3b (-258.7%)

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

4 calls:

10.0ms
t
5.0ms
x
4.0ms
z
4.0ms
y
Results
AccuracySegmentsBranch
72.6%1x
72.6%1y
72.6%1z
72.6%1t
Compiler

Compiled 54 to 33 computations (38.9% saved)

simplify14.0ms (0.1%)

Algorithm
egg-herbie
Rules
50×+-commutative
42×*-commutative
40×sub-neg
30×neg-mul-1
30×neg-sub0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
071356
1107356
2149356
3185356
4206356
5213356
6214356
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))
(if (<=.f64 (exp.f64 z) 4951760157141521/4951760157141521099596496896) (-.f64 x (/.f64 1 (+.f64 (/.f64 t (*.f64 (expm1.f64 z) y)) (*.f64 t 1/2)))) (-.f64 x (/.f64 (log1p.f64 (*.f64 z y)) t)))
(if (<=.f64 y -150000) (-.f64 x (/.f64 (log1p.f64 (*.f64 z y)) t)) (if (<=.f64 y 50000000) (-.f64 x (/.f64 (expm1.f64 z) (/.f64 t y))) (-.f64 x (/.f64 (log1p.f64 (*.f64 z y)) t))))
(if (<=.f64 y -21000000000000001631663533311745298357758251742395720555668556358099661617768489933296349487378588499968) x (if (<=.f64 y 57000000000000002095964174930235781118837099051586577333089037380711039615935539542936231815140021339562135060203065338494682662954001577734252865034636882761901385187328) (-.f64 x (/.f64 (expm1.f64 z) (/.f64 t y))) (/.f64 (neg.f64 (log1p.f64 (*.f64 y z))) t)))
(if (<=.f64 z -5880079300393817/43556142965880123323311949751266331066368) x (-.f64 x (+.f64 (/.f64 y (/.f64 t z)) (*.f64 1/2 (/.f64 y (/.f64 t (*.f64 z z)))))))
(if (<=.f64 z -1000) x (-.f64 x (/.f64 y (/.f64 t z))))
(if (<=.f64 z -6800) x (-.f64 x (*.f64 (/.f64 y t) z)))
x
Outputs
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))
(if (<=.f64 (exp.f64 z) 4951760157141521/4951760157141521099596496896) (-.f64 x (/.f64 1 (+.f64 (/.f64 t (*.f64 (expm1.f64 z) y)) (*.f64 t 1/2)))) (-.f64 x (/.f64 (log1p.f64 (*.f64 z y)) t)))
(if (<=.f64 (exp.f64 z) 4951760157141521/4951760157141521099596496896) (-.f64 x (/.f64 1 (+.f64 (/.f64 t (*.f64 y (expm1.f64 z))) (*.f64 t 1/2)))) (-.f64 x (/.f64 (log1p.f64 (*.f64 y z)) t)))
(if (<=.f64 (exp.f64 z) 4951760157141521/4951760157141521099596496896) (+.f64 x (/.f64 -1 (+.f64 (/.f64 t (*.f64 y (expm1.f64 z))) (*.f64 t 1/2)))) (-.f64 x (/.f64 (log1p.f64 (*.f64 y z)) t)))
(if (<=.f64 y -150000) (-.f64 x (/.f64 (log1p.f64 (*.f64 z y)) t)) (if (<=.f64 y 50000000) (-.f64 x (/.f64 (expm1.f64 z) (/.f64 t y))) (-.f64 x (/.f64 (log1p.f64 (*.f64 z y)) t))))
(if (or (<=.f64 y -150000) (not (<=.f64 y 50000000))) (-.f64 x (/.f64 (log1p.f64 (*.f64 y z)) t)) (-.f64 x (/.f64 (expm1.f64 z) (/.f64 t y))))
(if (<=.f64 y -21000000000000001631663533311745298357758251742395720555668556358099661617768489933296349487378588499968) x (if (<=.f64 y 57000000000000002095964174930235781118837099051586577333089037380711039615935539542936231815140021339562135060203065338494682662954001577734252865034636882761901385187328) (-.f64 x (/.f64 (expm1.f64 z) (/.f64 t y))) (/.f64 (neg.f64 (log1p.f64 (*.f64 y z))) t)))
(if (<=.f64 z -5880079300393817/43556142965880123323311949751266331066368) x (-.f64 x (+.f64 (/.f64 y (/.f64 t z)) (*.f64 1/2 (/.f64 y (/.f64 t (*.f64 z z)))))))
(if (<=.f64 z -5880079300393817/43556142965880123323311949751266331066368) x (+.f64 x (-.f64 (*.f64 (/.f64 y (/.f64 t (*.f64 z z))) -1/2) (/.f64 y (/.f64 t z)))))
(if (<=.f64 z -1000) x (-.f64 x (/.f64 y (/.f64 t z))))
(if (<=.f64 z -6800) x (-.f64 x (*.f64 (/.f64 y t) z)))
(if (<=.f64 z -6800) x (-.f64 x (*.f64 z (/.f64 y t))))
x
Compiler

Compiled 164 to 107 computations (34.8% saved)

soundness303.0ms (1.7%)

Algorithm
egg-herbie
Rules
924×fma-def
920×*-commutative
798×associate--r+
782×associate-/l*
728×associate-+l-
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
01539
12535
25133
39833
420527
550627
6100527
7124027
8135327
9163227
10244927
11490527
12555727
13609627
14687927
15766227
Stop Event
node limit
Compiler

Compiled 92 to 52 computations (43.5% saved)

end105.0ms (0.6%)

Compiler

Compiled 136 to 64 computations (52.9% saved)

Profiling

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