Details

Time bar (total: 18.1s)

analyze594.0ms (3.3%)

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)

sample6.3s (35%)

Results
1.9s1850×body1024valid
1.7s1540×body8192exit
1.2s4631×body256valid
754.0ms1465×body512valid
369.0ms310×body2048valid
310.0ms2086×body256invalid
83.0ms204×body1024invalid
66.0ms258×body512invalid
5.0ms33×body256infinite
0.0msbody1024infinite
0.0msbody512infinite
Bogosity

preprocess104.0ms (0.6%)

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)

simplify139.0ms (0.8%)

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
Error
1.7b
Counts
6 → 1
Alt Table
Click to see full alt table
StatusErrorProgram
1.7b
(-.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 error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))
0.0b
(*.f64 y (expm1.f64 z))
0.2b
(log1p.f64 (*.f64 y (expm1.f64 z)))
3.8b
(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)
Compiler

Compiled 35 to 9 computations (74.3% saved)

series150.0ms (0.8%)

Counts
4 → 132
Calls

33 calls:

TimeVariablePointExpression
55.0ms
z
@inf
(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)
32.0ms
t
@0
(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)
29.0ms
y
@0
(*.f64 y (expm1.f64 z))
18.0ms
z
@-inf
(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)
7.0ms
t
@inf
(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)

rewrite157.0ms (0.9%)

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
01274
124874
2327174
Stop Event
node limit
Counts
4 → 192
Calls
Call 1
Inputs
(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)
(log1p.f64 (*.f64 y (expm1.f64 z)))
(*.f64 y (expm1.f64 z))
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))
Outputs
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simplify212.0ms (1.2%)

Algorithm
egg-herbie
Rules
1090×associate-*r*
886×associate-*l*
656×associate-/l*
628×+-commutative
582×associate-+l+
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
065016946
1185616234
Stop Event
node limit
Counts
324 → 403
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)
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(-.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)))))
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(/.f64 (*.f64 y z) t)
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(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)
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(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)
(*.f64 (-.f64 (exp.f64 z) 1) y)
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(-.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (+.f64 (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y)) (*.f64 -1 (log.f64 (/.f64 1 y))))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (pow.f64 y 2)))))
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(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (+.f64 (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y)) (+.f64 (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1))) (*.f64 1/3 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 3) (pow.f64 y 3))))))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (pow.f64 y 2)))))
(*.f64 y z)
(+.f64 (*.f64 y z) (*.f64 1/2 (*.f64 (pow.f64 z 2) (+.f64 (*.f64 -1 (pow.f64 y 2)) y))))
(+.f64 (*.f64 y z) (+.f64 (*.f64 1/6 (*.f64 (+.f64 (*.f64 -3 (pow.f64 y 2)) (+.f64 y (*.f64 2 (pow.f64 y 3)))) (pow.f64 z 3))) (*.f64 1/2 (*.f64 (pow.f64 z 2) (+.f64 (*.f64 -1 (pow.f64 y 2)) y)))))
(+.f64 (*.f64 y z) (+.f64 (*.f64 1/6 (*.f64 (+.f64 (*.f64 -3 (pow.f64 y 2)) (+.f64 y (*.f64 2 (pow.f64 y 3)))) (pow.f64 z 3))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 z 2) (+.f64 (*.f64 -1 (pow.f64 y 2)) y))) (*.f64 1/24 (*.f64 (+.f64 (*.f64 -3 (pow.f64 y 2)) (+.f64 y (+.f64 (*.f64 12 (pow.f64 y 3)) (+.f64 (*.f64 -4 (pow.f64 y 2)) (*.f64 -6 (pow.f64 y 4)))))) (pow.f64 z 4))))))
(log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y)))
(log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y)))
(log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y)))
(log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y)))
(log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y)))
(log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y)))
(log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y)))
(log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y)))
(*.f64 (-.f64 (exp.f64 z) 1) y)
(*.f64 (-.f64 (exp.f64 z) 1) y)
(*.f64 (-.f64 (exp.f64 z) 1) y)
(*.f64 (-.f64 (exp.f64 z) 1) y)
(*.f64 (-.f64 (exp.f64 z) 1) y)
(*.f64 (-.f64 (exp.f64 z) 1) y)
(*.f64 (-.f64 (exp.f64 z) 1) y)
(*.f64 (-.f64 (exp.f64 z) 1) y)
(*.f64 (-.f64 (exp.f64 z) 1) y)
(*.f64 (-.f64 (exp.f64 z) 1) y)
(*.f64 (-.f64 (exp.f64 z) 1) y)
(*.f64 (-.f64 (exp.f64 z) 1) y)
(*.f64 y z)
(+.f64 (*.f64 y z) (*.f64 1/2 (*.f64 y (pow.f64 z 2))))
(+.f64 (*.f64 y z) (+.f64 (*.f64 1/2 (*.f64 y (pow.f64 z 2))) (*.f64 1/6 (*.f64 y (pow.f64 z 3)))))
(+.f64 (*.f64 y z) (+.f64 (*.f64 1/2 (*.f64 y (pow.f64 z 2))) (+.f64 (*.f64 1/24 (*.f64 y (pow.f64 z 4))) (*.f64 1/6 (*.f64 y (pow.f64 z 3))))))
(*.f64 (-.f64 (exp.f64 z) 1) y)
(*.f64 (-.f64 (exp.f64 z) 1) y)
(*.f64 (-.f64 (exp.f64 z) 1) y)
(*.f64 (-.f64 (exp.f64 z) 1) y)
(*.f64 (-.f64 (exp.f64 z) 1) y)
(*.f64 (-.f64 (exp.f64 z) 1) y)
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(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 3))) (cbrt.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 3)))) (/.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 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 3)))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (*.f64 x x) (pow.f64 (/.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)))) (/.f64 (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x) (cbrt.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 2)))))
(/.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))) (-.f64 x (/.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) t)))
(/.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 (+.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 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 (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 3) (pow.f64 (/.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) t) 3)) (+.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 (pow.f64 (*.f64 x x) 3) (pow.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 2) 3)) (*.f64 (+.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 (pow.f64 x 3) 3) (pow.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 3) 3)) (*.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 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 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 2))) (neg.f64 (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 3))) (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 (-.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 1 (-.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)))) (-.f64 x (/.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) t)))
(/.f64 (*.f64 1 (+.f64 (pow.f64 x 3) (pow.f64 (/.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) t) 3))) (+.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 1 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 2)))) (neg.f64 (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x)))
(/.f64 (*.f64 1 (neg.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 3)))) (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 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) (sqrt.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)))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) (sqrt.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)))
(/.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 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 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 (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)))))
(+.f64 (/.f64 (expm1.f64 z) (/.f64 t y)) (*.f64 -1/2 (/.f64 (pow.f64 (*.f64 (expm1.f64 z) 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))))
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(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 (*.f64 (expm1.f64 z) y) 2) t))))
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(/.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 x (pow.f64 x 3)) (+.f64 (*.f64 (/.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) 3) t) (log1p.f64 (*.f64 (expm1.f64 z) y))) (*.f64 x (*.f64 x (pow.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) 2)))))))
(/.f64 (-.f64 (pow.f64 x 6) (pow.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) 6)) (*.f64 (+.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) (+.f64 (+.f64 (*.f64 x (pow.f64 x 3)) (*.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) 2) (*.f64 x x))) (/.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 (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 (-.f64 (pow.f64 (pow.f64 x 3) 3) (pow.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) 3) 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 (pow.f64 x 6) (*.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) 3) (+.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) 3) (pow.f64 x 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 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 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) 2)) (*.f64 (sqrt.f64 (+.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))) (sqrt.f64 (+.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 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) 2)) (*.f64 (cbrt.f64 (+.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))) (*.f64 (cbrt.f64 (+.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))) (cbrt.f64 (+.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)) (*.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 (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)) (*.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))))) (*.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))))))))
(/.f64 (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) 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))
(-.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))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (/.f64 (neg.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) t))
(-.f64 (*.f64 (sqrt.f64 x) (sqrt.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))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (/.f64 (neg.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) t))
(-.f64 (*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))

eval180.0ms (1%)

Compiler

Compiled 12002 to 4088 computations (65.9% saved)

prune137.0ms (0.8%)

Pruning

18 alts after pruning (17 fresh and 1 done)

PrunedKeptTotal
New38617403
Fresh000
Picked011
Done000
Total38618404
Error
0b
Counts
404 → 18
Alt Table
Click to see full alt table
StatusErrorProgram
30.7b
(pow.f64 (sqrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) 2)
2.8b
(pow.f64 (cbrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) 3)
43.5b
(/.f64 (neg.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) t)
1.8b
(/.f64 1 (/.f64 1 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))))
53.2b
(-.f64 (-.f64 x (/.f64 (log.f64 y) t)) (/.f64 (log.f64 (expm1.f64 z)) t))
1.7b
(-.f64 x (pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) -1))
17.4b
(-.f64 x (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
12.0b
(-.f64 x (/.f64 (*.f64 (expm1.f64 z) y) t))
19.2b
(-.f64 x (/.f64 (*.f64 z y) t))
1.7b
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))
13.5b
(-.f64 x (/.f64 (expm1.f64 z) (/.f64 t y)))
18.1b
(-.f64 x (/.f64 y (/.f64 t z)))
50.0b
(-.f64 x (-.f64 (/.f64 (log.f64 (neg.f64 (expm1.f64 z))) t) (/.f64 (log.f64 (/.f64 -1 y)) t)))
22.1b
(-.f64 x (*.f64 (/.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) t) (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))))
20.7b
(-.f64 x (*.f64 (/.f64 y t) z))
2.0b
(-.f64 x (*.f64 (/.f64 1 t) (log1p.f64 (*.f64 y (expm1.f64 z)))))
17.5b
(+.f64 (*.f64 y (-.f64 (/.f64 1 t) (/.f64 (exp.f64 z) t))) x)
21.0b
x
Compiler

Compiled 486 to 337 computations (30.7% saved)

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(*.f64 y (expm1.f64 z))
0.2b
(log1p.f64 (*.f64 y (expm1.f64 z)))
0.6b
(pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) -1)
3.6b
(/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z))))
Compiler

Compiled 47 to 14 computations (70.2% saved)

series56.0ms (0.3%)

Counts
2 → 72
Calls

18 calls:

TimeVariablePointExpression
21.0ms
t
@-inf
(pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) -1)
20.0ms
y
@inf
(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)
2.0ms
z
@0
(/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z))))

rewrite97.0ms (0.5%)

Algorithm
batch-egg-rewrite
Rules
1028×*-commutative
814×associate-/r*
778×unswap-sqr
662×associate-*r/
628×swap-sqr
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01248
124242
2289542
Stop Event
node limit
Counts
2 → 222
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)
Outputs
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simplify217.0ms (1.2%)

Algorithm
egg-herbie
Rules
1342×associate-*r*
1100×associate-/l*
1060×associate-*l*
1042×*-commutative
974×associate-/r*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
081319906
1240819860
Stop Event
node limit
Counts
294 → 444
Calls
Call 1
Inputs
(/.f64 t (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))))
(/.f64 t (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))))
(/.f64 t (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))))
(/.f64 t (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))))
(/.f64 t (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))))
(/.f64 t (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))))
(/.f64 t (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))))
(/.f64 t (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))))
(/.f64 t (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))))
(/.f64 t (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))))
(/.f64 t (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))))
(/.f64 t (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))))
(/.f64 t (*.f64 (-.f64 (exp.f64 z) 1) y))
(+.f64 (/.f64 t (*.f64 (-.f64 (exp.f64 z) 1) y)) (*.f64 1/2 t))
(+.f64 (/.f64 t (*.f64 (-.f64 (exp.f64 z) 1) y)) (+.f64 (*.f64 1/2 t) (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/4 (*.f64 (-.f64 (exp.f64 z) 1) t)) (*.f64 1/3 (*.f64 (-.f64 (exp.f64 z) 1) t))) y))))
(+.f64 (/.f64 t (*.f64 (-.f64 (exp.f64 z) 1) y)) (+.f64 (*.f64 1/2 t) (+.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) (+.f64 (*.f64 -1/4 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) t)) (+.f64 (*.f64 1/2 (*.f64 (-.f64 (exp.f64 z) 1) (+.f64 (*.f64 -1/4 (*.f64 (-.f64 (exp.f64 z) 1) t)) (*.f64 1/3 (*.f64 (-.f64 (exp.f64 z) 1) t))))) (*.f64 1/6 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) t)))))) (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/4 (*.f64 (-.f64 (exp.f64 z) 1) t)) (*.f64 1/3 (*.f64 (-.f64 (exp.f64 z) 1) t))) y)))))
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(/.f64 (pow.f64 (sqrt.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z))))) -1/2) (/.f64 (sqrt.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z))))) (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) -1/2) (/.f64 (sqrt.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z))))) (pow.f64 (cbrt.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z))))) -1/2)))
(/.f64 (*.f64 1 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 1)) t)
(/.f64 (*.f64 1 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (sqrt.f64 t))) (sqrt.f64 t))
(/.f64 (*.f64 1 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (pow.f64 (cbrt.f64 t) 2))) (cbrt.f64 t))
(/.f64 (*.f64 1 (/.f64 1 t)) (/.f64 1 (log1p.f64 (*.f64 y (expm1.f64 z)))))
(/.f64 (*.f64 (/.f64 1 (sqrt.f64 t)) (log1p.f64 (*.f64 y (expm1.f64 z)))) (sqrt.f64 t))
(/.f64 (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 t) 2)) (log1p.f64 (*.f64 y (expm1.f64 z)))) (cbrt.f64 t))
(/.f64 (*.f64 (/.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 1) (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) t)
(/.f64 (*.f64 (/.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (pow.f64 (cbrt.f64 t) 2)) (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) (cbrt.f64 t))
(/.f64 (*.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 2) 1) (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) t)
(/.f64 (*.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 2) (sqrt.f64 t)) (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) (sqrt.f64 t))
(/.f64 (*.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 2) (pow.f64 (cbrt.f64 t) 2)) (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) (cbrt.f64 t))
(/.f64 (*.f64 (sqrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) (sqrt.f64 t))
(/.f64 (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 1) 1) t)
(/.f64 (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (sqrt.f64 t)) 1) (sqrt.f64 t))
(/.f64 (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (pow.f64 (cbrt.f64 t) 2)) 1) (cbrt.f64 t))
(/.f64 (*.f64 (/.f64 1 t) 1) (/.f64 1 (log1p.f64 (*.f64 y (expm1.f64 z)))))
(/.f64 (*.f64 1 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (cbrt.f64 t))) (pow.f64 (cbrt.f64 t) 2))
(/.f64 (*.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (/.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) t)) 1)
(/.f64 (*.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (/.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (cbrt.f64 t))) (pow.f64 (cbrt.f64 t) 2))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 2) (/.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) t)) 1)
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 2) (/.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (sqrt.f64 t))) (sqrt.f64 t))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 2) (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) (pow.f64 (cbrt.f64 t) 2))
(/.f64 (*.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (sqrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) (sqrt.f64 t))
(/.f64 (/.f64 1 (/.f64 (sqrt.f64 t) 1)) (/.f64 (sqrt.f64 t) (log1p.f64 (*.f64 y (expm1.f64 z)))))
(/.f64 (/.f64 1 (/.f64 (pow.f64 (cbrt.f64 t) 2) 1)) (/.f64 (cbrt.f64 t) (log1p.f64 (*.f64 y (expm1.f64 z)))))
(/.f64 (/.f64 (sqrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 1) (sqrt.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z))))))
(/.f64 (/.f64 (sqrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) (cbrt.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))))) (cbrt.f64 (sqrt.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))))))
(/.f64 (/.f64 (sqrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) (sqrt.f64 (sqrt.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z))))))) (sqrt.f64 (sqrt.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))))))
(/.f64 (/.f64 (sqrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z))))) 2))) (sqrt.f64 (cbrt.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))))))
(/.f64 (/.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) -1) t)
(/.f64 (/.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 1) (neg.f64 t))
(/.f64 (/.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (sqrt.f64 t)) (neg.f64 (sqrt.f64 t)))
(/.f64 (/.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (pow.f64 (cbrt.f64 t) 2)) (neg.f64 (cbrt.f64 t)))
(/.f64 (/.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (sqrt.f64 (neg.f64 t))) (sqrt.f64 (neg.f64 t)))
(/.f64 (/.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (*.f64 (cbrt.f64 (neg.f64 t)) (cbrt.f64 (neg.f64 t)))) (cbrt.f64 (neg.f64 t)))
(/.f64 (/.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (neg.f64 (sqrt.f64 t))) (sqrt.f64 t))
(/.f64 (/.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (neg.f64 (pow.f64 (cbrt.f64 t) 2))) (cbrt.f64 t))
(/.f64 (/.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 1) 1) t)
(/.f64 (/.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (sqrt.f64 t)) 1) (sqrt.f64 t))
(/.f64 (/.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (sqrt.f64 t)) (cbrt.f64 t)) (cbrt.f64 (sqrt.f64 t)))
(/.f64 (/.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (sqrt.f64 t)) (sqrt.f64 (pow.f64 (cbrt.f64 t) 2))) (sqrt.f64 (cbrt.f64 t)))
(/.f64 (/.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (sqrt.f64 t)) (sqrt.f64 (sqrt.f64 t))) (sqrt.f64 (sqrt.f64 t)))
(/.f64 (/.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (pow.f64 (cbrt.f64 t) 2)) 1) (cbrt.f64 t))
(/.f64 (/.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (pow.f64 (cbrt.f64 t) 2)) (sqrt.f64 (cbrt.f64 t))) (sqrt.f64 (cbrt.f64 t)))
(/.f64 (/.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (pow.f64 (cbrt.f64 t) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 t) 2))) (cbrt.f64 (cbrt.f64 t)))
(/.f64 (/.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (pow.f64 (cbrt.f64 t) 2)) (*.f64 (cbrt.f64 (cbrt.f64 t)) (cbrt.f64 (cbrt.f64 t)))) (cbrt.f64 (cbrt.f64 t)))
(/.f64 (/.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (pow.f64 (cbrt.f64 t) 2)) (cbrt.f64 (sqrt.f64 t))) (cbrt.f64 (sqrt.f64 t)))
(/.f64 (/.f64 (/.f64 1 t) (sqrt.f64 (/.f64 1 (log1p.f64 (*.f64 y (expm1.f64 z)))))) (sqrt.f64 (/.f64 1 (log1p.f64 (*.f64 y (expm1.f64 z))))))
(/.f64 (/.f64 (/.f64 1 t) (*.f64 (cbrt.f64 (/.f64 1 (log1p.f64 (*.f64 y (expm1.f64 z))))) (cbrt.f64 (/.f64 1 (log1p.f64 (*.f64 y (expm1.f64 z))))))) (cbrt.f64 (/.f64 1 (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 t (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 t)) (cbrt.f64 (/.f64 1 (log1p.f64 (*.f64 y (expm1.f64 z))))))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 2) (sqrt.f64 (cbrt.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z))))))) (sqrt.f64 (cbrt.f64 (/.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) (cbrt.f64 (sqrt.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z))))))) (cbrt.f64 (sqrt.f64 (/.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) (*.f64 (cbrt.f64 (cbrt.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))))) (cbrt.f64 (cbrt.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))))))) (cbrt.f64 (cbrt.f64 (/.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) (cbrt.f64 (pow.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)))))))
(neg.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t)))
(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)))
(log1p.f64 (expm1.f64 (/.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 (expm1.f64 z) (*.f64 t 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 (fma.f64 -1 (*.f64 y (*.f64 y (fma.f64 -1/4 (*.f64 t (pow.f64 (expm1.f64 z) 2)) (fma.f64 1/2 (*.f64 (*.f64 t (pow.f64 (expm1.f64 z) 2)) 1/12) (*.f64 t (*.f64 (pow.f64 (expm1.f64 z) 2) 1/6)))))) (neg.f64 (*.f64 y (*.f64 (expm1.f64 z) (*.f64 t 1/12)))))))
(/.f64 t (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))))
(/.f64 t (+.f64 (log.f64 (expm1.f64 z)) (neg.f64 (neg.f64 (log.f64 y)))))
(+.f64 (/.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 (log1p.f64 (*.f64 (expm1.f64 z) y)) (pow.f64 (cbrt.f64 t) 2)) (*.f64 (sqrt.f64 (cbrt.f64 t)) (sqrt.f64 (cbrt.f64 t))))
(/.f64 (/.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (pow.f64 (cbrt.f64 t) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 t) 2))) (cbrt.f64 (cbrt.f64 t)))
(/.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (pow.f64 (cbrt.f64 t) 2)) (*.f64 (cbrt.f64 (cbrt.f64 t)) (cbrt.f64 (pow.f64 (cbrt.f64 t) 2))))
(/.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (pow.f64 (cbrt.f64 t) 2)) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 t) 2)) (cbrt.f64 (cbrt.f64 t))))
(/.f64 (/.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (pow.f64 (cbrt.f64 t) 2)) (*.f64 (cbrt.f64 (cbrt.f64 t)) (cbrt.f64 (cbrt.f64 t)))) (cbrt.f64 (cbrt.f64 t)))
(/.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (pow.f64 (cbrt.f64 t) 2)) (*.f64 (cbrt.f64 (cbrt.f64 t)) (*.f64 (cbrt.f64 (cbrt.f64 t)) (cbrt.f64 (cbrt.f64 t)))))
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 (*.f64 (cbrt.f64 (cbrt.f64 t)) (*.f64 (cbrt.f64 (cbrt.f64 t)) (cbrt.f64 (cbrt.f64 t)))) (pow.f64 (cbrt.f64 t) 2)))
(/.f64 (/.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (pow.f64 (cbrt.f64 t) 2)) (cbrt.f64 (sqrt.f64 t))) (cbrt.f64 (sqrt.f64 t)))
(/.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 (cbrt.f64 (sqrt.f64 t)) (pow.f64 (cbrt.f64 t) 2))) (cbrt.f64 (sqrt.f64 t)))
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 (*.f64 (cbrt.f64 (sqrt.f64 t)) (cbrt.f64 (sqrt.f64 t))) (pow.f64 (cbrt.f64 t) 2)))
(/.f64 (/.f64 (/.f64 1 t) (sqrt.f64 (/.f64 1 (log1p.f64 (*.f64 y (expm1.f64 z)))))) (sqrt.f64 (/.f64 1 (log1p.f64 (*.f64 y (expm1.f64 z))))))
(/.f64 (/.f64 1 t) (*.f64 (sqrt.f64 (/.f64 1 (log1p.f64 (*.f64 (expm1.f64 z) y)))) (sqrt.f64 (/.f64 1 (log1p.f64 (*.f64 (expm1.f64 z) y))))))
(/.f64 1 (*.f64 (*.f64 (sqrt.f64 (/.f64 1 (log1p.f64 (*.f64 (expm1.f64 z) y)))) (sqrt.f64 (/.f64 1 (log1p.f64 (*.f64 (expm1.f64 z) y))))) t))
(/.f64 (/.f64 (/.f64 1 t) (*.f64 (cbrt.f64 (/.f64 1 (log1p.f64 (*.f64 y (expm1.f64 z))))) (cbrt.f64 (/.f64 1 (log1p.f64 (*.f64 y (expm1.f64 z))))))) (cbrt.f64 (/.f64 1 (log1p.f64 (*.f64 y (expm1.f64 z))))))
(/.f64 (/.f64 1 t) (*.f64 (cbrt.f64 (/.f64 1 (log1p.f64 (*.f64 (expm1.f64 z) y)))) (*.f64 (cbrt.f64 (/.f64 1 (log1p.f64 (*.f64 (expm1.f64 z) y)))) (cbrt.f64 (/.f64 1 (log1p.f64 (*.f64 (expm1.f64 z) y)))))))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 2) 1) (cbrt.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z))))))
(/.f64 (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) 2) (cbrt.f64 (/.f64 t (log1p.f64 (*.f64 (expm1.f64 z) y)))))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 2) (cbrt.f64 t)) (cbrt.f64 (/.f64 1 (log1p.f64 (*.f64 y (expm1.f64 z))))))
(/.f64 (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) 2) (*.f64 (cbrt.f64 (/.f64 1 (log1p.f64 (*.f64 (expm1.f64 z) y)))) (cbrt.f64 t)))
(/.f64 (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) 2) (*.f64 (cbrt.f64 t) (cbrt.f64 (/.f64 1 (log1p.f64 (*.f64 (expm1.f64 z) y))))))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 2) (sqrt.f64 (cbrt.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z))))))) (sqrt.f64 (cbrt.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))))))
(/.f64 (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) 2) (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 t (log1p.f64 (*.f64 (expm1.f64 z) y))))) (sqrt.f64 (cbrt.f64 (/.f64 t (log1p.f64 (*.f64 (expm1.f64 z) y)))))))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 2) (cbrt.f64 (sqrt.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z))))))) (cbrt.f64 (sqrt.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))))))
(/.f64 (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) 2) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 t (log1p.f64 (*.f64 (expm1.f64 z) y))))) (cbrt.f64 (sqrt.f64 (/.f64 t (log1p.f64 (*.f64 (expm1.f64 z) y)))))))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 2) (*.f64 (cbrt.f64 (cbrt.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))))) (cbrt.f64 (cbrt.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))))))) (cbrt.f64 (cbrt.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))))))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) 2) (*.f64 (cbrt.f64 (cbrt.f64 (/.f64 t (log1p.f64 (*.f64 (expm1.f64 z) y))))) (cbrt.f64 (cbrt.f64 (/.f64 t (log1p.f64 (*.f64 (expm1.f64 z) y))))))) (cbrt.f64 (cbrt.f64 (/.f64 t (log1p.f64 (*.f64 (expm1.f64 z) y))))))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) 2) (cbrt.f64 (cbrt.f64 (/.f64 t (log1p.f64 (*.f64 (expm1.f64 z) y)))))) (*.f64 (cbrt.f64 (cbrt.f64 (/.f64 t (log1p.f64 (*.f64 (expm1.f64 z) y))))) (cbrt.f64 (cbrt.f64 (/.f64 t (log1p.f64 (*.f64 (expm1.f64 z) y)))))))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 2) (cbrt.f64 (pow.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)))))))
(/.f64 (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) 2) (*.f64 (cbrt.f64 (cbrt.f64 (/.f64 t (log1p.f64 (*.f64 (expm1.f64 z) y))))) (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 t (log1p.f64 (*.f64 (expm1.f64 z) y)))) 2))))
(neg.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t)))
(/.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)
(log1p.f64 (expm1.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)

localize7.0ms (0%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(-.f64 x (*.f64 (/.f64 y t) z))
6.4b
(*.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
x
@0
(-.f64 x (*.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)

rewrite95.0ms (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
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 y (/.f64 z t)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 y (/.f64 t z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 z (/.f64 t y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (/.f64 z t)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 t (*.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 z) (/.f64 (/.f64 t y) (sqrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 y) (/.f64 (/.f64 t z) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 y) (/.f64 t (*.f64 z (sqrt.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 z) (/.f64 (/.f64 t y) (pow.f64 (cbrt.f64 z) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 z) 2) (/.f64 (/.f64 t y) (cbrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 y) (/.f64 (/.f64 t z) (pow.f64 (cbrt.f64 y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 y) 2) (/.f64 (/.f64 t z) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 y) 2) (/.f64 t (*.f64 z (cbrt.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y z) t)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y z) (/.f64 t 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 y) (/.f64 (neg.f64 t) z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (*.f64 y z)) (/.f64 t (sqrt.f64 (*.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (*.f64 y z)) (cbrt.f64 (*.f64 y z))) (/.f64 t (cbrt.f64 (*.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (sqrt.f64 z)) (/.f64 t (sqrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (pow.f64 (cbrt.f64 z) 2)) (/.f64 t (cbrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 z (sqrt.f64 (/.f64 y t))) (sqrt.f64 (/.f64 t y)))))) 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simplify140.0ms (0.8%)

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)
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 (exp.f64 (log1p.f64 (*.f64 y (/.f64 z t)))) 1)
(/.f64 y (/.f64 t z))
(/.f64 z (/.f64 t y))
(/.f64 (*.f64 y (/.f64 z t)) 1)
(/.f64 1 (/.f64 t (*.f64 y z)))
(/.f64 (sqrt.f64 z) (/.f64 (/.f64 t y) (sqrt.f64 z)))
(/.f64 (sqrt.f64 y) (/.f64 (/.f64 t z) (sqrt.f64 y)))
(/.f64 (sqrt.f64 y) (/.f64 t (*.f64 z (sqrt.f64 y))))
(/.f64 (cbrt.f64 z) (/.f64 (/.f64 t y) (pow.f64 (cbrt.f64 z) 2)))
(/.f64 (pow.f64 (cbrt.f64 z) 2) (/.f64 (/.f64 t y) (cbrt.f64 z)))
(/.f64 (cbrt.f64 y) (/.f64 (/.f64 t z) (pow.f64 (cbrt.f64 y) 2)))
(/.f64 (pow.f64 (cbrt.f64 y) 2) (/.f64 (/.f64 t z) (cbrt.f64 y)))
(/.f64 (pow.f64 (cbrt.f64 y) 2) (/.f64 t (*.f64 z (cbrt.f64 y))))
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) (/.f64 t 1))
(/.f64 (neg.f64 y) (/.f64 (neg.f64 t) z))
(/.f64 (sqrt.f64 (*.f64 y z)) (/.f64 t (sqrt.f64 (*.f64 y z))))
(/.f64 (*.f64 (cbrt.f64 (*.f64 y z)) (cbrt.f64 (*.f64 y z))) (/.f64 t (cbrt.f64 (*.f64 y z))))
(/.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 z (sqrt.f64 (/.f64 y t))) (sqrt.f64 (/.f64 t y)))
(/.f64 (*.f64 z (sqrt.f64 y)) (/.f64 t (sqrt.f64 y)))
(/.f64 (*.f64 z (neg.f64 y)) (neg.f64 t))
(/.f64 (/.f64 y (/.f64 1 z)) t)
(/.f64 (/.f64 z (/.f64 (sqrt.f64 t) y)) (sqrt.f64 t))
(/.f64 (/.f64 y (/.f64 (pow.f64 (cbrt.f64 t) 2) z)) (cbrt.f64 t))
(/.f64 (neg.f64 (*.f64 y z)) (neg.f64 t))
(/.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 y)) (/.f64 t (*.f64 (sqrt.f64 z) (sqrt.f64 y))))
(/.f64 (/.f64 z t) (/.f64 1 y))
(/.f64 (/.f64 z (sqrt.f64 t)) (/.f64 (sqrt.f64 t) y))
(/.f64 (*.f64 z -1) (neg.f64 (/.f64 t y)))
(/.f64 (*.f64 z (neg.f64 (neg.f64 y))) (neg.f64 (neg.f64 t)))
(/.f64 (*.f64 1 (neg.f64 (*.f64 y z))) (neg.f64 t))
(/.f64 (*.f64 -1 z) (neg.f64 (/.f64 t y)))
(/.f64 (*.f64 z (pow.f64 (cbrt.f64 y) 2)) (/.f64 t (cbrt.f64 y)))
(/.f64 (*.f64 z (/.f64 y 1)) t)
(/.f64 (*.f64 z (/.f64 y (sqrt.f64 t))) (sqrt.f64 t))
(/.f64 (*.f64 z (/.f64 y (pow.f64 (cbrt.f64 t) 2))) (cbrt.f64 t))
(/.f64 (*.f64 1 (*.f64 z (neg.f64 y))) (neg.f64 t))
(/.f64 (*.f64 1 (/.f64 y (/.f64 1 z))) t)
(/.f64 (*.f64 1 (/.f64 z (/.f64 (sqrt.f64 t) y))) (sqrt.f64 t))
(/.f64 (*.f64 1 (/.f64 y (/.f64 (pow.f64 (cbrt.f64 t) 2) z))) (cbrt.f64 t))
(/.f64 (*.f64 (sqrt.f64 (*.f64 y (/.f64 z t))) (sqrt.f64 (*.f64 y z))) (sqrt.f64 t))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 y (/.f64 z t))) 2) (cbrt.f64 (*.f64 y z))) (cbrt.f64 t))
(/.f64 (*.f64 (*.f64 y z) (/.f64 1 (sqrt.f64 t))) (sqrt.f64 t))
(/.f64 (*.f64 (*.f64 y z) (/.f64 1 (pow.f64 (cbrt.f64 t) 2))) (cbrt.f64 t))
(/.f64 (*.f64 (*.f64 y z) -1) (neg.f64 t))
(/.f64 (*.f64 (*.f64 z (sqrt.f64 (/.f64 y t))) 1) (sqrt.f64 (/.f64 t y)))
(/.f64 (*.f64 (*.f64 z (sqrt.f64 (/.f64 y t))) (sqrt.f64 y)) (sqrt.f64 t))
(/.f64 (*.f64 (*.f64 z (sqrt.f64 (/.f64 y t))) (sqrt.f64 (neg.f64 y))) (sqrt.f64 (neg.f64 t)))
(/.f64 (*.f64 (*.f64 z (pow.f64 (cbrt.f64 (/.f64 y t)) 2)) 1) (cbrt.f64 (/.f64 t y)))
(/.f64 (*.f64 (*.f64 z (pow.f64 (cbrt.f64 (/.f64 y t)) 2)) (cbrt.f64 y)) (cbrt.f64 t))
(/.f64 (*.f64 (*.f64 z (pow.f64 (cbrt.f64 (/.f64 y t)) 2)) (cbrt.f64 (neg.f64 y))) (cbrt.f64 (neg.f64 t)))
(/.f64 (*.f64 (/.f64 y 1) z) t)
(/.f64 (*.f64 (/.f64 y (sqrt.f64 t)) z) (sqrt.f64 t))
(/.f64 (*.f64 (/.f64 y (pow.f64 (cbrt.f64 t) 2)) z) (cbrt.f64 t))
(/.f64 (*.f64 (neg.f64 (*.f64 y z)) 1) (neg.f64 t))
(/.f64 (*.f64 (neg.f64 (neg.f64 y)) z) (neg.f64 (neg.f64 t)))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 y) 2) z) (/.f64 t (cbrt.f64 y)))
(/.f64 (*.f64 (*.f64 z (neg.f64 y)) 1) (neg.f64 t))
(/.f64 (*.f64 (/.f64 y (/.f64 1 z)) 1) t)
(/.f64 (*.f64 (/.f64 z (/.f64 (sqrt.f64 t) y)) 1) (sqrt.f64 t))
(/.f64 (*.f64 (/.f64 y (/.f64 (pow.f64 (cbrt.f64 t) 2) z)) 1) (cbrt.f64 t))
(/.f64 (*.f64 1 (*.f64 z (sqrt.f64 (/.f64 y t)))) (sqrt.f64 (/.f64 t y)))
(/.f64 (*.f64 (sqrt.f64 y) (*.f64 z (sqrt.f64 (/.f64 y t)))) (sqrt.f64 t))
(/.f64 (*.f64 (sqrt.f64 (neg.f64 y)) (*.f64 z (sqrt.f64 (/.f64 y t)))) (sqrt.f64 (neg.f64 t)))
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(*.f64 (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 y (/.f64 z t)) 3)) (+.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (*.f64 (*.f64 y (/.f64 z t)) (+.f64 (*.f64 y (/.f64 z t)) x)) 3))) (-.f64 (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 (*.f64 y (/.f64 z t)) (+.f64 (*.f64 y (/.f64 z t)) x)) (*.f64 (*.f64 y (/.f64 z t)) (+.f64 (*.f64 y (/.f64 z t)) x)))) (*.f64 (*.f64 x x) (*.f64 (*.f64 y (/.f64 z t)) (+.f64 (*.f64 y (/.f64 z t)) x)))))
(/.f64 1 (/.f64 1 (-.f64 x (*.f64 y (/.f64 z t)))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 y (/.f64 z t)) 2)) (+.f64 (*.f64 y (/.f64 z t)) x))
(/.f64 (+.f64 (*.f64 y (/.f64 z t)) x) (/.f64 (+.f64 (*.f64 y (/.f64 z t)) x) (-.f64 x (*.f64 y (/.f64 z t)))))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 y (/.f64 z t)) 3)) (fma.f64 x x (*.f64 (*.f64 y (/.f64 z t)) (+.f64 (*.f64 y (/.f64 z t)) x))))
(/.f64 (fma.f64 x x (*.f64 (*.f64 y (/.f64 z t)) (+.f64 (*.f64 y (/.f64 z t)) x))) (/.f64 (fma.f64 x x (*.f64 (*.f64 y (/.f64 z t)) (+.f64 (*.f64 y (/.f64 z t)) x))) (-.f64 x (*.f64 y (/.f64 z t)))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 y (/.f64 z t)) 3))) (/.f64 (fma.f64 x x (*.f64 (*.f64 y (/.f64 z t)) (+.f64 (*.f64 y (/.f64 z t)) x))) (sqrt.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 y (/.f64 z t)) 3)))))
(/.f64 (sqrt.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 y (/.f64 z t)) 2))) (/.f64 (+.f64 (*.f64 y (/.f64 z t)) x) (sqrt.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 y (/.f64 z t)) 2)))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 y (/.f64 z t)) 3))) (cbrt.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 y (/.f64 z t)) 3)))) (/.f64 (fma.f64 x x (*.f64 (*.f64 y (/.f64 z t)) (+.f64 (*.f64 y (/.f64 z t)) x))) (cbrt.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 y (/.f64 z t)) 3)))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 y (/.f64 z t)) 2))) (cbrt.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 y (/.f64 z t)) 2)))) (/.f64 (+.f64 (*.f64 y (/.f64 z t)) x) (cbrt.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 y (/.f64 z t)) 2)))))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (/.f64 y t) (neg.f64 z)) (*.f64 (/.f64 y t) (neg.f64 z)))) (-.f64 x (*.f64 (/.f64 y t) (neg.f64 z))))
(/.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 (+.f64 (*.f64 y (/.f64 z t)) x) (+.f64 (*.f64 x x) (pow.f64 (*.f64 y (/.f64 z t)) 2))))
(/.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 (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 3) (pow.f64 (*.f64 (/.f64 y t) (neg.f64 z)) 3)) (+.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 (/.f64 y t) (neg.f64 z)) (*.f64 (/.f64 y t) (neg.f64 z))) (*.f64 x (*.f64 (/.f64 y t) (neg.f64 z))))))
(/.f64 (-.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (pow.f64 (*.f64 y (/.f64 z t)) 2) 3)) (*.f64 (+.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 (pow.f64 x 3) 3) (pow.f64 (pow.f64 (*.f64 y (/.f64 z t)) 3) 3)) (*.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 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 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 y (/.f64 z t)) 2))) (neg.f64 (+.f64 (*.f64 y (/.f64 z t)) x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 y (/.f64 z t)) 3))) (neg.f64 (fma.f64 x x (*.f64 (*.f64 y (/.f64 z t)) (+.f64 (*.f64 y (/.f64 z t)) x)))))
(/.f64 (*.f64 1 (-.f64 (*.f64 x x) (*.f64 (*.f64 (/.f64 y t) (neg.f64 z)) (*.f64 (/.f64 y t) (neg.f64 z))))) (-.f64 x (*.f64 (/.f64 y t) (neg.f64 z))))
(/.f64 (*.f64 1 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 (/.f64 y t) (neg.f64 z)) 3))) (+.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 (/.f64 y t) (neg.f64 z)) (*.f64 (/.f64 y t) (neg.f64 z))) (*.f64 x (*.f64 (/.f64 y t) (neg.f64 z))))))
(/.f64 (*.f64 1 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 y (/.f64 z t)) 2)))) (neg.f64 (+.f64 (*.f64 y (/.f64 z t)) x)))
(/.f64 (*.f64 1 (neg.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 y (/.f64 z t)) 3)))) (neg.f64 (fma.f64 x x (*.f64 (*.f64 y (/.f64 z t)) (+.f64 (*.f64 y (/.f64 z t)) x)))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 x (*.f64 y (/.f64 z t)))) (sqrt.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)))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 x (*.f64 y (/.f64 z t)))) (sqrt.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 y (/.f64 z t)) 2)))) (sqrt.f64 (+.f64 (*.f64 y (/.f64 z t)) x)))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (-.f64 x (*.f64 y (/.f64 z t)))) 2) (cbrt.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 y (/.f64 z t)) 3)))) (cbrt.f64 (fma.f64 x x (*.f64 (*.f64 y (/.f64 z t)) (+.f64 (*.f64 y (/.f64 z t)) x)))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (-.f64 x (*.f64 y (/.f64 z t)))) 2) (cbrt.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 y (/.f64 z t)) 2)))) (cbrt.f64 (+.f64 (*.f64 y (/.f64 z t)) x)))
(/.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (/.f64 y t) (neg.f64 z)) (*.f64 (/.f64 y t) (neg.f64 z)))) 1) (-.f64 x (*.f64 (/.f64 y t) (neg.f64 z))))
(/.f64 (*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 (/.f64 y t) (neg.f64 z)) 3)) 1) (+.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 (/.f64 y t) (neg.f64 z)) (*.f64 (/.f64 y t) (neg.f64 z))) (*.f64 x (*.f64 (/.f64 y t) (neg.f64 z))))))
(/.f64 (*.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 y (/.f64 z t)) 2))) 1) (neg.f64 (+.f64 (*.f64 y (/.f64 z t)) x)))
(/.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 y (/.f64 z t)) 3))) 1) (neg.f64 (fma.f64 x x (*.f64 (*.f64 y (/.f64 z t)) (+.f64 (*.f64 y (/.f64 z t)) x)))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 y (/.f64 z t)) 3))) (sqrt.f64 (-.f64 x (*.f64 y (/.f64 z t))))) (sqrt.f64 (fma.f64 x x (*.f64 (*.f64 y (/.f64 z t)) (+.f64 (*.f64 y (/.f64 z t)) x)))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 y (/.f64 z t)) 2))) (sqrt.f64 (-.f64 x (*.f64 y (/.f64 z t))))) (sqrt.f64 (+.f64 (*.f64 y (/.f64 z t)) x)))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 y (/.f64 z t)) 3))) (pow.f64 (cbrt.f64 (-.f64 x (*.f64 y (/.f64 z t)))) 2)) (cbrt.f64 (fma.f64 x x (*.f64 (*.f64 y (/.f64 z t)) (+.f64 (*.f64 y (/.f64 z t)) x)))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 y (/.f64 z t)) 2))) (pow.f64 (cbrt.f64 (-.f64 x (*.f64 y (/.f64 z t)))) 2)) (cbrt.f64 (+.f64 (*.f64 y (/.f64 z t)) x)))
(/.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 (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 (-.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 (-.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 (-.f64 (*.f64 x x) (pow.f64 (*.f64 y (/.f64 z t)) 2)) 1) (+.f64 (*.f64 y (/.f64 z t)) x))
(/.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 (*.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 (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 (-.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)) (*.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)))))
(pow.f64 (-.f64 x (*.f64 y (/.f64 z t))) 1)
(pow.f64 (sqrt.f64 (-.f64 x (*.f64 y (/.f64 z t)))) 2)
(pow.f64 (cbrt.f64 (-.f64 x (*.f64 y (/.f64 z t)))) 3)
(pow.f64 (pow.f64 (-.f64 x (*.f64 y (/.f64 z t))) 3) 1/3)
(sqrt.f64 (pow.f64 (-.f64 x (*.f64 y (/.f64 z t))) 2))
(log.f64 (exp.f64 (-.f64 x (*.f64 y (/.f64 z t)))))
(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)
(*.f64 y (/.f64 z t))
(/.f64 z (/.f64 t y))
(/.f64 (*.f64 y z) t)
(*.f64 y (/.f64 z t))
(/.f64 z (/.f64 t y))
(/.f64 (*.f64 y z) t)
(*.f64 y (/.f64 z t))
(/.f64 z (/.f64 t y))
(/.f64 (*.f64 y z) t)
(*.f64 y (/.f64 z t))
(/.f64 z (/.f64 t y))
(/.f64 (*.f64 y z) t)
(*.f64 y (/.f64 z t))
(/.f64 z (/.f64 t y))
(/.f64 (*.f64 y z) t)
(*.f64 y (/.f64 z t))
(/.f64 z (/.f64 t y))
(/.f64 (*.f64 y z) t)
(*.f64 y (/.f64 z t))
(/.f64 z (/.f64 t y))
(/.f64 (*.f64 y z) t)
(*.f64 y (/.f64 z t))
(/.f64 z (/.f64 t y))
(/.f64 (*.f64 y z) t)
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(/.f64 z (/.f64 t y))
(/.f64 (*.f64 y z) t)
(*.f64 y (/.f64 z t))
(/.f64 z (/.f64 t y))
(/.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 y z) t)
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(/.f64 z (/.f64 t y))
(/.f64 (*.f64 y z) t)
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(/.f64 z (/.f64 t y))
(/.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 y z) t)
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(/.f64 z (/.f64 t y))
(/.f64 (*.f64 y z) t)
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(/.f64 (*.f64 y z) t)
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(/.f64 z (/.f64 t y))
(/.f64 (*.f64 y z) t)
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(/.f64 (*.f64 y z) t)
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(/.f64 (*.f64 y 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 y z) t)
(*.f64 y (/.f64 z t))
(/.f64 z (/.f64 t y))
(/.f64 (*.f64 y z) t)
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(/.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 y z) t)
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(/.f64 z (/.f64 t y))
(/.f64 (*.f64 y z) t)
(*.f64 y (/.f64 z t))
(/.f64 z (/.f64 t y))
(*.f64 -1 (/.f64 (*.f64 y z) t))
(*.f64 (/.f64 y t) (neg.f64 z))
(*.f64 z (/.f64 (neg.f64 y) t))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(fma.f64 (/.f64 y t) (neg.f64 z) x)
(-.f64 x (/.f64 z (/.f64 t y)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(fma.f64 (/.f64 y t) (neg.f64 z) x)
(-.f64 x (/.f64 z (/.f64 t y)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(fma.f64 (/.f64 y t) (neg.f64 z) x)
(-.f64 x (/.f64 z (/.f64 t y)))
x
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(fma.f64 (/.f64 y t) (neg.f64 z) x)
(-.f64 x (/.f64 z (/.f64 t y)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(fma.f64 (/.f64 y t) (neg.f64 z) x)
(-.f64 x (/.f64 z (/.f64 t y)))
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(fma.f64 (/.f64 y t) (neg.f64 z) x)
(-.f64 x (/.f64 z (/.f64 t y)))
x
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(fma.f64 (/.f64 y t) (neg.f64 z) x)
(-.f64 x (/.f64 z (/.f64 t y)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(fma.f64 (/.f64 y t) (neg.f64 z) x)
(-.f64 x (/.f64 z (/.f64 t y)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(fma.f64 (/.f64 y t) (neg.f64 z) x)
(-.f64 x (/.f64 z (/.f64 t y)))
x
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(*.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)))

localize10.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(*.f64 (expm1.f64 z) y)
0.0b
(-.f64 x (/.f64 (*.f64 (expm1.f64 z) y) t))
3.8b
(/.f64 (*.f64 (expm1.f64 z) y) t)
Compiler

Compiled 28 to 8 computations (71.4% saved)

series5.0ms (0%)

Counts
3 → 108
Calls

27 calls:

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

rewrite128.0ms (0.7%)

Algorithm
batch-egg-rewrite
Rules
1876×associate-*r/
1532×associate-/r*
1382×associate-*l/
1316×associate-/l*
246×add-sqr-sqrt
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01151
123151
2321051
Stop Event
node limit
Counts
3 → 161
Calls
Call 1
Inputs
(/.f64 (*.f64 (expm1.f64 z) y) t)
(-.f64 x (/.f64 (*.f64 (expm1.f64 z) y) t))
(*.f64 (expm1.f64 z) y)
Outputs
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simplify160.0ms (0.9%)

Algorithm
egg-herbie
Rules
1116×associate-+r+
994×associate-+l+
712×+-commutative
628×associate-*r*
532×fma-def
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
044910061
111949815
259089703
Stop Event
node limit
Counts
269 → 250
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))
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)
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(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)) x)
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(+.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)
(*.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))))))
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(/.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 (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 (*.f64 x x) (*.f64 (/.f64 (neg.f64 (expm1.f64 z)) (/.f64 t y)) (/.f64 (neg.f64 (expm1.f64 z)) (/.f64 t y)))) (-.f64 x (/.f64 (neg.f64 (expm1.f64 z)) (/.f64 t y))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (/.f64 (neg.f64 (expm1.f64 z)) (/.f64 t y)) 3)) (+.f64 (*.f64 x x) (-.f64 (*.f64 (/.f64 (neg.f64 (expm1.f64 z)) (/.f64 t y)) (/.f64 (neg.f64 (expm1.f64 z)) (/.f64 t y))) (*.f64 x (/.f64 (neg.f64 (expm1.f64 z)) (/.f64 t y))))))
(/.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 (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) (pow.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) 2)) 1) (+.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) x))
(/.f64 (*.f64 1 (-.f64 (*.f64 x x) (*.f64 (/.f64 (neg.f64 (expm1.f64 z)) (/.f64 t y)) (/.f64 (neg.f64 (expm1.f64 z)) (/.f64 t y))))) (-.f64 x (/.f64 (neg.f64 (expm1.f64 z)) (/.f64 t y))))
(/.f64 (*.f64 1 (+.f64 (pow.f64 x 3) (pow.f64 (/.f64 (neg.f64 (expm1.f64 z)) (/.f64 t y)) 3))) (+.f64 (*.f64 x x) (-.f64 (*.f64 (/.f64 (neg.f64 (expm1.f64 z)) (/.f64 t y)) (/.f64 (neg.f64 (expm1.f64 z)) (/.f64 t y))) (*.f64 x (/.f64 (neg.f64 (expm1.f64 z)) (/.f64 t y))))))
(/.f64 (*.f64 1 (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 (*.f64 1 (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 (sqrt.f64 (-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t)))) (sqrt.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) 3)))) (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 (sqrt.f64 (-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t)))) (sqrt.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) 2)))) (sqrt.f64 (+.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) x)))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t)))) 2) (cbrt.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) 3)))) (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 (pow.f64 (cbrt.f64 (-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t)))) 2) (cbrt.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) 2)))) (cbrt.f64 (+.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) x)))
(/.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 (/.f64 (neg.f64 (expm1.f64 z)) (/.f64 t y)) (/.f64 (neg.f64 (expm1.f64 z)) (/.f64 t y)))) 1) (-.f64 x (/.f64 (neg.f64 (expm1.f64 z)) (/.f64 t y))))
(/.f64 (*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (/.f64 (neg.f64 (expm1.f64 z)) (/.f64 t y)) 3)) 1) (+.f64 (*.f64 x x) (-.f64 (*.f64 (/.f64 (neg.f64 (expm1.f64 z)) (/.f64 t y)) (/.f64 (neg.f64 (expm1.f64 z)) (/.f64 t y))) (*.f64 x (/.f64 (neg.f64 (expm1.f64 z)) (/.f64 t y))))))
(/.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 (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 (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 (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 (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 (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (/.f64 (pow.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) 3) (/.f64 t (*.f64 (expm1.f64 z) y)))) (/.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 t (*.f64 (expm1.f64 z) y))) (*.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)))))
(/.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 (*.f64 x x) (pow.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) 2)) (sqrt.f64 (+.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) x))) (sqrt.f64 (+.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)) (*.f64 (cbrt.f64 (+.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) x)) (cbrt.f64 (+.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) x)))) (cbrt.f64 (+.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 (pow.f64 x 3) (pow.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) 3)) (sqrt.f64 (fma.f64 x x (*.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) (+.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) x))))) (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 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) 3)) (*.f64 (cbrt.f64 (fma.f64 x x (*.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) (+.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) x)))) (cbrt.f64 (fma.f64 x x (*.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) (+.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) x)))))) (cbrt.f64 (fma.f64 x x (*.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) (+.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) x)))))
(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 (neg.f64 (expm1.f64 z)) (/.f64 t y)))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (/.f64 (neg.f64 (expm1.f64 z)) (/.f64 t y)))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (/.f64 (neg.f64 (expm1.f64 z)) (/.f64 t y)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) 1)
(/.f64 (*.f64 y (-.f64 (*.f64 (exp.f64 z) (exp.f64 z)) 1)) (+.f64 1 (exp.f64 z)))
(/.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))))
(/.f64 (*.f64 (-.f64 (*.f64 (exp.f64 z) (exp.f64 z)) 1) y) (+.f64 1 (exp.f64 z)))
(/.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))))
(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))
(cbrt.f64 (*.f64 (pow.f64 (expm1.f64 z) 3) (pow.f64 y 3)))
(cbrt.f64 (*.f64 (pow.f64 y 3) (pow.f64 (expm1.f64 z) 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 (*.f64 y z) t)
(*.f64 (/.f64 y t) z)
(+.f64 (/.f64 (*.f64 y z) t) (*.f64 1/2 (/.f64 (*.f64 y (pow.f64 z 2)) t)))
(+.f64 (/.f64 (*.f64 y z) t) (/.f64 (*.f64 1/2 (*.f64 y (*.f64 z z))) t))
(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 (*.f64 y z) t) (/.f64 (*.f64 1/2 (*.f64 y (*.f64 z z))) t)))
(fma.f64 1/6 (*.f64 (/.f64 y t) (pow.f64 z 3)) (fma.f64 1/2 (*.f64 (/.f64 y t) (*.f64 z z)) (*.f64 (/.f64 y t) z)))
(+.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 (*.f64 y z) t) (/.f64 (*.f64 1/2 (*.f64 y (*.f64 z z))) t))))
(fma.f64 1/24 (*.f64 (/.f64 y t) (pow.f64 z 4)) (fma.f64 1/6 (*.f64 (/.f64 y t) (pow.f64 z 3)) (fma.f64 1/2 (*.f64 (/.f64 y t) (*.f64 z z)) (*.f64 (/.f64 y t) z))))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(*.f64 (expm1.f64 z) (/.f64 y t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(*.f64 (expm1.f64 z) (/.f64 y t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(*.f64 (expm1.f64 z) (/.f64 y t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(*.f64 (expm1.f64 z) (/.f64 y t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(*.f64 (expm1.f64 z) (/.f64 y t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(*.f64 (expm1.f64 z) (/.f64 y t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(*.f64 (expm1.f64 z) (/.f64 y t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(*.f64 (expm1.f64 z) (/.f64 y t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(*.f64 (expm1.f64 z) (/.f64 y t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(*.f64 (expm1.f64 z) (/.f64 y t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(*.f64 (expm1.f64 z) (/.f64 y t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(*.f64 (expm1.f64 z) (/.f64 y t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(*.f64 (expm1.f64 z) (/.f64 y t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(*.f64 (expm1.f64 z) (/.f64 y t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(*.f64 (expm1.f64 z) (/.f64 y t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(*.f64 (expm1.f64 z) (/.f64 y t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(*.f64 (expm1.f64 z) (/.f64 y t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(*.f64 (expm1.f64 z) (/.f64 y t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(*.f64 (expm1.f64 z) (/.f64 y t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(*.f64 (expm1.f64 z) (/.f64 y t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(*.f64 (expm1.f64 z) (/.f64 y t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(*.f64 (expm1.f64 z) (/.f64 y t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
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(/.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 (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)) (fma.f64 (expm1.f64 z) (/.f64 y t) x))))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) 3)) (fma.f64 x x (*.f64 (/.f64 y t) (*.f64 (expm1.f64 z) (fma.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)) (sqrt.f64 (fma.f64 x x (*.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) (+.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) x))))) (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 (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)) (fma.f64 (expm1.f64 z) (/.f64 y t) x))))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) 3)) (fma.f64 x x (*.f64 (/.f64 y t) (*.f64 (expm1.f64 z) (fma.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)) (*.f64 (cbrt.f64 (fma.f64 x x (*.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) (+.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) x)))) (cbrt.f64 (fma.f64 x x (*.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) (+.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) x)))))) (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 (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)) (fma.f64 (expm1.f64 z) (/.f64 y t) x))))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) 3)) (fma.f64 x x (*.f64 (/.f64 y t) (*.f64 (expm1.f64 z) (fma.f64 (expm1.f64 z) (/.f64 y t) x)))))
(pow.f64 (-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t))) 1)
(-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t)))
(pow.f64 (sqrt.f64 (-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t)))) 2)
(-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t)))
(pow.f64 (cbrt.f64 (-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t)))) 3)
(-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t)))
(pow.f64 (pow.f64 (-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t))) 3) 1/3)
(-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t)))
(sqrt.f64 (pow.f64 (-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t))) 2))
(fabs.f64 (-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t))))
(log.f64 (exp.f64 (-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t)))))
(-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t)))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t))))))
(-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t)))
(cbrt.f64 (pow.f64 (-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t))) 3))
(-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t)))
(expm1.f64 (log1p.f64 (-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t)))))
(-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t)))
(exp.f64 (log.f64 (-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t)))))
(-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t)))
(exp.f64 (*.f64 (log.f64 (-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t)))) 1))
(-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t)))
(log1p.f64 (expm1.f64 (-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t)))))
(-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t)))
(fma.f64 1 x (/.f64 (neg.f64 (expm1.f64 z)) (/.f64 t y)))
(-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t)))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (/.f64 (neg.f64 (expm1.f64 z)) (/.f64 t y)))
(-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t)))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (/.f64 (neg.f64 (expm1.f64 z)) (/.f64 t y)))
(-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) 1)
(*.f64 y (expm1.f64 z))
(/.f64 (*.f64 y (-.f64 (*.f64 (exp.f64 z) (exp.f64 z)) 1)) (+.f64 1 (exp.f64 z)))
(/.f64 (fma.f64 (exp.f64 z) (exp.f64 z) -1) (/.f64 (+.f64 (exp.f64 z) 1) y))
(*.f64 (/.f64 (expm1.f64 (+.f64 z z)) (+.f64 (exp.f64 z) 1)) y)
(/.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))))
(/.f64 (*.f64 y (+.f64 (pow.f64 (exp.f64 z) 3) -1)) (+.f64 (exp.f64 (+.f64 z z)) (+.f64 (exp.f64 z) 1)))
(*.f64 (/.f64 y (+.f64 (exp.f64 z) (fma.f64 (exp.f64 z) (exp.f64 z) 1))) (+.f64 -1 (pow.f64 (exp.f64 z) 3)))
(/.f64 (*.f64 (-.f64 (*.f64 (exp.f64 z) (exp.f64 z)) 1) y) (+.f64 1 (exp.f64 z)))
(/.f64 (fma.f64 (exp.f64 z) (exp.f64 z) -1) (/.f64 (+.f64 (exp.f64 z) 1) y))
(*.f64 (/.f64 (expm1.f64 (+.f64 z z)) (+.f64 (exp.f64 z) 1)) y)
(/.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))))
(/.f64 (*.f64 y (+.f64 (pow.f64 (exp.f64 z) 3) -1)) (+.f64 (exp.f64 (+.f64 z z)) (+.f64 (exp.f64 z) 1)))
(*.f64 (/.f64 y (+.f64 (exp.f64 z) (fma.f64 (exp.f64 z) (exp.f64 z) 1))) (+.f64 -1 (pow.f64 (exp.f64 z) 3)))
(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))
(cbrt.f64 (*.f64 (pow.f64 (expm1.f64 z) 3) (pow.f64 y 3)))
(*.f64 y (expm1.f64 z))
(cbrt.f64 (*.f64 (pow.f64 y 3) (pow.f64 (expm1.f64 z) 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))

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(-.f64 x (*.f64 (/.f64 1 t) (log1p.f64 (*.f64 y (expm1.f64 z)))))
0.0b
(*.f64 y (expm1.f64 z))
0.2b
(log1p.f64 (*.f64 y (expm1.f64 z)))
4.2b
(*.f64 (/.f64 1 t) (log1p.f64 (*.f64 y (expm1.f64 z))))
Compiler

Compiled 43 to 17 computations (60.5% saved)

series4.0ms (0%)

Counts
2 → 84
Calls

21 calls:

TimeVariablePointExpression
2.0ms
z
@0
(*.f64 (/.f64 1 t) (log1p.f64 (*.f64 y (expm1.f64 z))))
0.0ms
y
@inf
(*.f64 (/.f64 1 t) (log1p.f64 (*.f64 y (expm1.f64 z))))
0.0ms
y
@-inf
(*.f64 (/.f64 1 t) (log1p.f64 (*.f64 y (expm1.f64 z))))
0.0ms
y
@inf
(-.f64 x (*.f64 (/.f64 1 t) (log1p.f64 (*.f64 y (expm1.f64 z)))))
0.0ms
y
@-inf
(-.f64 x (*.f64 (/.f64 1 t) (log1p.f64 (*.f64 y (expm1.f64 z)))))

rewrite146.0ms (0.8%)

Algorithm
batch-egg-rewrite
Rules
1276×associate-*r/
890×associate-*l/
600×distribute-rgt-in
556×associate-/r*
552×distribute-lft-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01448
128548
2359748
Stop Event
node limit
Counts
2 → 234
Calls
Call 1
Inputs
(*.f64 (/.f64 1 t) (log1p.f64 (*.f64 y (expm1.f64 z))))
(-.f64 x (*.f64 (/.f64 1 t) (log1p.f64 (*.f64 y (expm1.f64 z)))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 (neg.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (/.f64 t (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (/.f64 t (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.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)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (/.f64 (/.f64 t (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 2) (/.f64 t (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (/.f64 (neg.f64 t) (log1p.f64 (*.f64 y (expm1.f64 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) (/.f64 (/.f64 t (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) (sqrt.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 2)) (/.f64 (/.f64 t (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) (sqrt.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 2)) (/.f64 (/.f64 t (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 2))) (/.f64 (/.f64 t (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (cbrt.f64 (pow.f64 t -2))) (cbrt.f64 t))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) -1) (neg.f64 t))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (log1p.f64 (*.f64 y (expm1.f64 z)))) (neg.f64 t))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 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simplify216.0ms (1.2%)

Algorithm
egg-herbie
Rules
1068×associate-/l*
702×associate-*r*
602×associate-/l/
586×times-frac
552×associate-*l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
071020448
1193819128
Stop Event
node limit
Counts
318 → 429
Calls
Call 1
Inputs
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(+.f64 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t) (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (pow.f64 y 2)) t)))
(+.f64 (*.f64 1/3 (/.f64 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 3) (pow.f64 y 3)) t)) (+.f64 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t) (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (pow.f64 y 2)) t))))
(+.f64 (*.f64 -1/4 (/.f64 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 4) (pow.f64 y 4)) t)) (+.f64 (*.f64 1/3 (/.f64 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 3) (pow.f64 y 3)) t)) (+.f64 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t) (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (pow.f64 y 2)) t)))))
(/.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) t)
(+.f64 (/.f64 (log.f64 (-.f64 (exp.f64 z) 1)) t) (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 y)) t)) (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) (*.f64 y t)))))
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(/.f64 (-.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 2) 3)) (*.f64 (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x) (+.f64 (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 2) (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 2))) (*.f64 (*.f64 x x) (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 2)))))
(/.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 (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 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 2))) (neg.f64 (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 3))) (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 1 (-.f64 (*.f64 x x) (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t)) (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t))))) (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t))))
(/.f64 (*.f64 1 (+.f64 (pow.f64 x 3) (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t)) 3))) (+.f64 (*.f64 x x) (-.f64 (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t)) (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t))) (*.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t))))))
(/.f64 (*.f64 1 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 2)))) (neg.f64 (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x)))
(/.f64 (*.f64 1 (neg.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 3)))) (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 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) (sqrt.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)))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) (sqrt.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)))
(/.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 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 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 (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 (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 (*.f64 x x) (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t)) (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t)))) 1) (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t))))
(/.f64 (*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t)) 3)) 1) (+.f64 (*.f64 x x) (-.f64 (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t)) (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t))) (*.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 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) 2) (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 2))) (/.f64 1 (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x))) (+.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 2) (*.f64 x x)))
(/.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 (*.f64 x x) (*.f64 x x)) (*.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 2) (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 2))) (*.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 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t)))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t)))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t)))
Outputs
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (expm1.f64 z) (/.f64 t y))
(+.f64 (/.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)))))
(+.f64 (/.f64 (expm1.f64 z) (/.f64 t y)) (/.f64 (*.f64 -1/2 (*.f64 y (*.f64 y (pow.f64 (expm1.f64 z) 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))))
(fma.f64 1/3 (/.f64 (pow.f64 (expm1.f64 z) 3) (/.f64 t (pow.f64 y 3))) (+.f64 (/.f64 (expm1.f64 z) (/.f64 t y)) (*.f64 -1/2 (/.f64 (pow.f64 (expm1.f64 z) 2) (/.f64 t (*.f64 y y))))))
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(/.f64 (*.f64 (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 (pow.f64 (cbrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))) 2) (/.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 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) 3)))))
(*.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) 2) (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 2))) (/.f64 1 (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x))) (+.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 2) (*.f64 x x)))
(/.f64 (-.f64 (*.f64 x (pow.f64 x 3)) (pow.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) 4)) (*.f64 (+.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) (+.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) 2) (*.f64 x x))))
(*.f64 (/.f64 (+.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) 2) (*.f64 x x)) (+.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) 2) (*.f64 x x))) (-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)))
(/.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 (*.f64 x x) (*.f64 x x)) (*.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 2) (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 2))) (*.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 x (pow.f64 x 3)) (+.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) 4) (*.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) 2) (*.f64 x x))))))
(/.f64 (-.f64 (pow.f64 x 6) (pow.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) 6)) (*.f64 (+.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) (+.f64 (*.f64 x (pow.f64 x 3)) (+.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) 4) (*.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) 2) (*.f64 x x))))))
(/.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 (-.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 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) 2)) (*.f64 (sqrt.f64 (+.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))) (sqrt.f64 (+.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 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) 2)) (*.f64 (cbrt.f64 (+.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))) (*.f64 (cbrt.f64 (+.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))) (cbrt.f64 (+.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)) (*.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 (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)) (*.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))))) (*.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 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t)))
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 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 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t)))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (neg.f64 t)))

localize17.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.2b
(log1p.f64 (*.f64 y (expm1.f64 z)))
0.5b
(cbrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))
0.7b
(pow.f64 (cbrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) 3)
3.8b
(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)
Compiler

Compiled 58 to 13 computations (77.6% saved)

series83.0ms (0.5%)

Counts
2 → 72
Calls

24 calls:

TimeVariablePointExpression
45.0ms
y
@inf
(pow.f64 (cbrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) 3)
6.0ms
y
@-inf
(pow.f64 (cbrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) 3)
5.0ms
t
@inf
(pow.f64 (cbrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) 3)
4.0ms
x
@0
(pow.f64 (cbrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) 3)
3.0ms
y
@0
(pow.f64 (cbrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) 3)

rewrite115.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
1398×associate-*r/
992×associate-*l/
826×associate-/r*
628×associate-/l*
546×distribute-lft-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01558
131458
2378458
Stop Event
node limit
Counts
2 → 175
Calls
Call 1
Inputs
(pow.f64 (cbrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) 3)
(cbrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))
Outputs
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simplify277.0ms (1.5%)

Algorithm
egg-herbie
Rules
1098×+-commutative
1074×associate-+r+
956×associate-/r*
834×associate-+l+
752×associate-/l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0106844143
1358943585
Stop Event
node limit
Counts
247 → 419
Calls
Call 1
Inputs
(*.f64 -1 (*.f64 (pow.f64 1 1/3) (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)))
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(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))))) 1)
(*.f64 (cbrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) 1)
(*.f64 1 (cbrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))))
(*.f64 (pow.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 1/6) (pow.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 1/6))
(*.f64 (cbrt.f64 (cbrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))) (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))) 2))
(*.f64 (cbrt.f64 (cbrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))) (pow.f64 (pow.f64 (cbrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) 2) 1/3))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))) 2) (cbrt.f64 (cbrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) 2) 1/3) (cbrt.f64 (cbrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))))
(*.f64 (pow.f64 (sqrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) 1/3) (pow.f64 (sqrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) 1/3))
(/.f64 (cbrt.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 3))) (cbrt.f64 (fma.f64 x x (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) (+.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))))))
(/.f64 (cbrt.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 2))) (cbrt.f64 (+.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))))
(/.f64 (*.f64 1 (cbrt.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 3)))) (cbrt.f64 (fma.f64 x x (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) (+.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))))))
(/.f64 (*.f64 1 (cbrt.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 2)))) (cbrt.f64 (+.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))))
(/.f64 (*.f64 (pow.f64 1 1/3) (cbrt.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 3)))) (cbrt.f64 (fma.f64 x x (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) (+.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))))))
(/.f64 (*.f64 (pow.f64 1 1/3) (cbrt.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 2)))) (cbrt.f64 (+.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 3))) 1) (cbrt.f64 (fma.f64 x x (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) (+.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 2))) 1) (cbrt.f64 (+.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))))
(pow.f64 (cbrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) 1)
(pow.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 1/3)
(pow.f64 (pow.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 1/6) 2)
(pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))) 3)
(sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) 2))
(log.f64 (exp.f64 (cbrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))))))
(expm1.f64 (log1p.f64 (cbrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))))
(exp.f64 (log.f64 (cbrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))) 1))
(exp.f64 (*.f64 (log.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) 1/3))
(log1p.f64 (expm1.f64 (cbrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))))
Outputs
(*.f64 -1 (*.f64 (pow.f64 1 1/3) (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)))
(/.f64 (neg.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) t)
(+.f64 (*.f64 -1 (*.f64 (pow.f64 1 1/3) (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t))) (*.f64 (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 1 4) (pow.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) 4)) (pow.f64 t 4)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 -1) 4) 1/3))) (*.f64 2/3 (*.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 1 4) (pow.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) 4)) (pow.f64 t 4)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 -1) 4) 1/3)))) x))
(fma.f64 -1 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) (*.f64 (*.f64 (*.f64 (*.f64 (pow.f64 (/.f64 (pow.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) 4) (pow.f64 t 4)) 1/18) (pow.f64 (/.f64 (pow.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) 4) (pow.f64 t 4)) 1/18)) (cbrt.f64 (pow.f64 (cbrt.f64 -1) 4))) 1) x))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 1 1/3) (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t))) (+.f64 (*.f64 (+.f64 (*.f64 2/9 (*.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 1 4) t) (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y)))) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))) (+.f64 (*.f64 (pow.f64 (/.f64 (*.f64 1 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y)))) t) 1/3) (*.f64 (cbrt.f64 -1) (+.f64 (*.f64 -2/9 (*.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 1 4) (pow.f64 t 4)) (pow.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) 4)) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3))) (*.f64 1/9 (*.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 1 4) (pow.f64 t 4)) (pow.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) 4)) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3)))))) (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 1 4) t) (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y)))) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))))) (pow.f64 x 2)) (*.f64 (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 1 4) (pow.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) 4)) (pow.f64 t 4)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 -1) 4) 1/3))) (*.f64 2/3 (*.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 1 4) (pow.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) 4)) (pow.f64 t 4)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 -1) 4) 1/3)))) x)))
(fma.f64 -1 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) (fma.f64 (fma.f64 2/9 (*.f64 (*.f64 (pow.f64 (/.f64 t (log1p.f64 (*.f64 (expm1.f64 z) y))) 1/18) (pow.f64 (/.f64 t (log1p.f64 (*.f64 (expm1.f64 z) y))) 1/18)) (cbrt.f64 (/.f64 1 (cbrt.f64 -1)))) (fma.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) (*.f64 (cbrt.f64 -1) (*.f64 (*.f64 (*.f64 (pow.f64 (/.f64 (pow.f64 t 4) (pow.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) 4)) 1/18) (pow.f64 (/.f64 (pow.f64 t 4) (pow.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) 4)) 1/18)) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)))) -1/9)) (*.f64 (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 t (log1p.f64 (*.f64 (expm1.f64 z) y))) 1/18) (pow.f64 (/.f64 t (log1p.f64 (*.f64 (expm1.f64 z) y))) 1/18))) (cbrt.f64 (/.f64 1 (cbrt.f64 -1)))))) (*.f64 x x) (*.f64 (*.f64 (*.f64 (*.f64 (pow.f64 (/.f64 (pow.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) 4) (pow.f64 t 4)) 1/18) (pow.f64 (/.f64 (pow.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) 4) (pow.f64 t 4)) 1/18)) (cbrt.f64 (pow.f64 (cbrt.f64 -1) 4))) 1) x)))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 1 1/3) (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t))) (+.f64 (*.f64 (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 1 4) (pow.f64 t 2)) (pow.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) 2)) 1/9) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3) (+.f64 (*.f64 -2/9 (*.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 1 4) (pow.f64 t 4)) (pow.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) 4)) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3))) (*.f64 1/9 (*.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 1 4) (pow.f64 t 4)) (pow.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) 4)) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3))))))) (+.f64 (*.f64 -2/27 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (*.f64 (pow.f64 (/.f64 (pow.f64 t 2) (pow.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) 2)) 1/3) (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))))) (+.f64 (*.f64 (*.f64 (+.f64 (*.f64 2/27 (*.f64 (pow.f64 1 1/9) (/.f64 t (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y)))))) (*.f64 -2/3 (*.f64 (/.f64 (+.f64 (*.f64 1/27 (*.f64 (pow.f64 (/.f64 (*.f64 1 (pow.f64 t 2)) (pow.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) 2)) 1/3) (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)))) (*.f64 -2/9 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (*.f64 (pow.f64 (/.f64 (pow.f64 t 2) (pow.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) 2)) 1/3) (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)))))) (cbrt.f64 -1)) (pow.f64 (/.f64 (*.f64 1 t) (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y)))) 1/3)))) (cbrt.f64 -1)) (pow.f64 (/.f64 (*.f64 1 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y)))) t) 1/3)) (*.f64 -1/3 (*.f64 (+.f64 (*.f64 1/27 (*.f64 (pow.f64 (/.f64 (*.f64 1 (pow.f64 t 2)) (pow.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) 2)) 1/3) (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)))) (*.f64 -2/9 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (*.f64 (pow.f64 (/.f64 (pow.f64 t 2) (pow.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) 2)) 1/3) (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)))))) (pow.f64 1 1/3)))))) (pow.f64 x 3)) (+.f64 (*.f64 (+.f64 (*.f64 2/9 (*.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 1 4) t) (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y)))) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))) (+.f64 (*.f64 (pow.f64 (/.f64 (*.f64 1 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y)))) t) 1/3) (*.f64 (cbrt.f64 -1) (+.f64 (*.f64 -2/9 (*.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 1 4) (pow.f64 t 4)) (pow.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) 4)) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3))) (*.f64 1/9 (*.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 1 4) (pow.f64 t 4)) (pow.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) 4)) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3)))))) (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 1 4) t) (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y)))) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))))) (pow.f64 x 2)) (*.f64 (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 1 4) (pow.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) 4)) (pow.f64 t 4)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 -1) 4) 1/3))) (*.f64 2/3 (*.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 1 4) (pow.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) 4)) (pow.f64 t 4)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 -1) 4) 1/3)))) x))))
(fma.f64 -1 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) (fma.f64 (fma.f64 1/3 (*.f64 (*.f64 (pow.f64 (/.f64 (*.f64 t t) (pow.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) 2)) 1/18) (pow.f64 (/.f64 (*.f64 t t) (pow.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) 2)) 1/18)) (*.f64 (*.f64 (*.f64 (*.f64 (pow.f64 (/.f64 (pow.f64 t 4) (pow.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) 4)) 1/18) (pow.f64 (/.f64 (pow.f64 t 4) (pow.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) 4)) 1/18)) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)))) -1/9) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))))) (+.f64 (*.f64 -2/27 (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) (cbrt.f64 (/.f64 (*.f64 t t) (pow.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) 2))))) (fma.f64 (*.f64 (cbrt.f64 -1) (fma.f64 2/27 (/.f64 t (log1p.f64 (*.f64 (expm1.f64 z) y))) (*.f64 -2/3 (*.f64 (/.f64 (fma.f64 1/27 (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) (cbrt.f64 (/.f64 (*.f64 t t) (pow.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) 2)))) (*.f64 -2/9 (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) (cbrt.f64 (/.f64 (*.f64 t t) (pow.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) 2)))))) (cbrt.f64 -1)) (cbrt.f64 (/.f64 t (log1p.f64 (*.f64 (expm1.f64 z) y)))))))) (cbrt.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) (*.f64 -1/3 (*.f64 1 (fma.f64 1/27 (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) (cbrt.f64 (/.f64 (*.f64 t t) (pow.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) 2)))) (*.f64 -2/9 (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) (cbrt.f64 (/.f64 (*.f64 t t) (pow.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) 2))))))))))) (pow.f64 x 3) (fma.f64 (fma.f64 2/9 (*.f64 (*.f64 (pow.f64 (/.f64 t (log1p.f64 (*.f64 (expm1.f64 z) y))) 1/18) (pow.f64 (/.f64 t (log1p.f64 (*.f64 (expm1.f64 z) y))) 1/18)) (cbrt.f64 (/.f64 1 (cbrt.f64 -1)))) (fma.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) (*.f64 (cbrt.f64 -1) (*.f64 (*.f64 (*.f64 (pow.f64 (/.f64 (pow.f64 t 4) (pow.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) 4)) 1/18) (pow.f64 (/.f64 (pow.f64 t 4) (pow.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) 4)) 1/18)) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)))) -1/9)) (*.f64 (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 t (log1p.f64 (*.f64 (expm1.f64 z) y))) 1/18) (pow.f64 (/.f64 t (log1p.f64 (*.f64 (expm1.f64 z) y))) 1/18))) (cbrt.f64 (/.f64 1 (cbrt.f64 -1)))))) (*.f64 x x) (*.f64 (*.f64 (*.f64 (*.f64 (pow.f64 (/.f64 (pow.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) 4) (pow.f64 t 4)) 1/18) (pow.f64 (/.f64 (pow.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) 4) (pow.f64 t 4)) 1/18)) (cbrt.f64 (pow.f64 (cbrt.f64 -1) 4))) 1) x))))
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(*.f64 (pow.f64 1 1/3) x)
x
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x
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(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) 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 (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 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))))) (cbrt.f64 (fma.f64 x x (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) (+.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))))))) (cbrt.f64 (fma.f64 x x (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) (+.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))))))
(/.f64 (/.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))))) (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 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) 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)))))))
(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))
(-.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))
(fma.f64 (sqrt.f64 x) (sqrt.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 (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))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))))) 1)
(cbrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)))
(*.f64 (cbrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) 1)
(cbrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)))
(*.f64 1 (cbrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))))
(cbrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)))
(*.f64 (pow.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 1/6) (pow.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 1/6))
(cbrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)))
(*.f64 (cbrt.f64 (cbrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))) (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))) 2))
(cbrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)))
(*.f64 (cbrt.f64 (cbrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))) (pow.f64 (pow.f64 (cbrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) 2) 1/3))
(*.f64 (cbrt.f64 (cbrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)))) (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))) 2)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))) 2) (cbrt.f64 (cbrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))))
(cbrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) 2) 1/3) (cbrt.f64 (cbrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))))
(*.f64 (cbrt.f64 (cbrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)))) (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))) 2)))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))))
(cbrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)))
(*.f64 (pow.f64 (sqrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) 1/3) (pow.f64 (sqrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) 1/3))
(*.f64 (cbrt.f64 (sqrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)))) (cbrt.f64 (sqrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)))))
(/.f64 (cbrt.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 3))) (cbrt.f64 (fma.f64 x x (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) (+.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))))))
(/.f64 (cbrt.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) 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 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 2))) (cbrt.f64 (+.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))))
(/.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))))
(/.f64 (*.f64 1 (cbrt.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 3)))) (cbrt.f64 (fma.f64 x x (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) (+.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))))))
(/.f64 (cbrt.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) 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 (*.f64 1 (cbrt.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 2)))) (cbrt.f64 (+.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))))
(/.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))))
(/.f64 (*.f64 (pow.f64 1 1/3) (cbrt.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 3)))) (cbrt.f64 (fma.f64 x x (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) (+.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))))))
(/.f64 (cbrt.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) 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 (*.f64 (pow.f64 1 1/3) (cbrt.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 2)))) (cbrt.f64 (+.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))))
(/.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))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 3))) 1) (cbrt.f64 (fma.f64 x x (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) (+.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))))))
(/.f64 (cbrt.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) 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 (*.f64 (cbrt.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 2))) 1) (cbrt.f64 (+.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))))
(/.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 y (expm1.f64 z))) t))) 1)
(cbrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)))
(pow.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 1/3)
(cbrt.f64 (-.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)) 1/6) 2)
(cbrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)))
(pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))) 3)
(cbrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)))
(sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) 2))
(sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))) 2))
(log.f64 (exp.f64 (cbrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))))
(cbrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))))))
(cbrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)))
(expm1.f64 (log1p.f64 (cbrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))))
(cbrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)))
(exp.f64 (log.f64 (cbrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))))
(cbrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))) 1))
(cbrt.f64 (-.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))) 1/3))
(cbrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)))
(log1p.f64 (expm1.f64 (cbrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))))
(cbrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)))

eval1.2s (6.5%)

Compiler

Compiled 88821 to 37061 computations (58.3% saved)

prune968.0ms (5.3%)

Pruning

26 alts after pruning (23 fresh and 3 done)

PrunedKeptTotal
New2258172275
Fresh6612
Picked011
Done325
Total2267262293
Error
0b
Counts
2293 → 26
Alt Table
Click to see full alt table
StatusErrorProgram
42.8b
(pow.f64 (pow.f64 x 1/3) 3)
2.8b
(pow.f64 (cbrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) 3)
21.8b
(pow.f64 (cbrt.f64 x) 3)
43.5b
(/.f64 (neg.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) t)
18.2b
(/.f64 1 (/.f64 1 (-.f64 x (*.f64 y (/.f64 z t)))))
24.4b
(-.f64 (fma.f64 (*.f64 (/.f64 y t) (*.f64 z z)) -1/2 x) (*.f64 (/.f64 y t) z))
2.0b
(-.f64 x (/.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (pow.f64 (cbrt.f64 t) 2)) (cbrt.f64 t)))
19.3b
(-.f64 x (/.f64 (/.f64 y (/.f64 1 z)) t))
2.1b
(-.f64 x (/.f64 (/.f64 1 t) (/.f64 1 (log1p.f64 (*.f64 y (expm1.f64 z))))))
53.2b
(-.f64 x (/.f64 (+.f64 (log.f64 (expm1.f64 z)) (log.f64 y)) t))
19.2b
(-.f64 x (/.f64 (*.f64 z y) t))
1.7b
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))
13.5b
(-.f64 x (/.f64 (expm1.f64 z) (/.f64 t y)))
18.1b
(-.f64 x (/.f64 y (/.f64 t z)))
1.7b
(-.f64 x (/.f64 1 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z))))))
50.0b
(-.f64 x (-.f64 (/.f64 (log.f64 (neg.f64 (expm1.f64 z))) t) (/.f64 (log.f64 (/.f64 -1 y)) t)))
22.9b
(-.f64 x (+.f64 (/.f64 (*.f64 y z) t) (/.f64 (*.f64 1/2 (*.f64 y (*.f64 z z))) t)))
10.6b
(-.f64 x (*.f64 (/.f64 (expm1.f64 z) t) y))
19.5b
(-.f64 x (*.f64 (/.f64 1 t) (*.f64 z y)))
2.0b
(-.f64 x (*.f64 (/.f64 1 t) (log1p.f64 (*.f64 y (expm1.f64 z)))))
18.1b
(-.f64 x (*.f64 y (/.f64 z t)))
21.0b
(+.f64 (*.f64 (/.f64 y t) (neg.f64 z)) (+.f64 x (fma.f64 (/.f64 (neg.f64 y) t) z (*.f64 y (/.f64 z t)))))
56.4b
(*.f64 (/.f64 y t) (neg.f64 z))
51.7b
(*.f64 (expm1.f64 z) (neg.f64 (/.f64 y t)))
57.4b
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
21.0b
x
Compiler

Compiled 671 to 466 computations (30.6% saved)

localize44.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(*.f64 y (expm1.f64 z))
0.2b
(log1p.f64 (*.f64 y (expm1.f64 z)))
0.6b
(/.f64 1 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))))
3.6b
(/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z))))
Compiler

Compiled 47 to 14 computations (70.2% saved)

series1.0ms (0%)

Counts
1 → 36
Calls

9 calls:

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

rewrite67.0ms (0.4%)

Algorithm
batch-egg-rewrite
Rules
1058×*-commutative
1016×associate-/r*
948×associate-*r/
670×associate-*l/
648×swap-sqr
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01227
123821
2289721
Stop Event
node limit
Counts
1 → 58
Calls
Call 1
Inputs
(/.f64 1 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (/.f64 1 t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) (sqrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (/.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 2) (pow.f64 (cbrt.f64 t) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 2) (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 2) t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 t) (log1p.f64 (*.f64 y (expm1.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 t) (pow.f64 (/.f64 1 (log1p.f64 (*.f64 y (expm1.f64 z)))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (/.f64 -1 t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 2) t) (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (sqrt.f64 t)) (/.f64 1 (sqrt.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 t)) (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (sqrt.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 t) 2)) (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (cbrt.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (cbrt.f64 t)) (/.f64 1 (pow.f64 (cbrt.f64 t) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 t) (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 1) (/.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) t) (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) t) (/.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (pow.f64 (cbrt.f64 t) 2)) (/.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (cbrt.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (cbrt.f64 t)) (/.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (pow.f64 (cbrt.f64 t) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 2) 1) (/.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) t) (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 2) (sqrt.f64 t)) (/.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (sqrt.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (sqrt.f64 t)) (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 2) (sqrt.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 2) (pow.f64 (cbrt.f64 t) 2)) (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 1 (log1p.f64 (*.f64 y (expm1.f64 z)))) -1) (/.f64 1 t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z))))) -1) (pow.f64 (sqrt.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z))))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z))))) 2) -1) (pow.f64 (cbrt.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z))))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (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))))) (#(struct:change #<rule egg-rr> (2) ((x *.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)))))) (#(struct:change #<rule egg-rr> (2) ((x *.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)))))) (#(struct:change #<rule egg-rr> (2) ((x *.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)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.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)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.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))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 t) -1) (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.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)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.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)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.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))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (log.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))))))

simplify106.0ms (0.6%)

Algorithm
egg-herbie
Rules
1424×associate-*r/
1026×associate-/l*
940×associate-/r*
896×associate-*l/
680×*-commutative
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02483580
16503470
223123454
Stop Event
node limit
Counts
94 → 141
Calls
Call 1
Inputs
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(+.f64 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t) (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (pow.f64 y 2)) t)))
(+.f64 (*.f64 1/3 (/.f64 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 3) (pow.f64 y 3)) t)) (+.f64 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t) (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (pow.f64 y 2)) t))))
(+.f64 (*.f64 -1/4 (/.f64 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 4) (pow.f64 y 4)) t)) (+.f64 (*.f64 1/3 (/.f64 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 3) (pow.f64 y 3)) t)) (+.f64 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t) (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (pow.f64 y 2)) t)))))
(/.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) t)
(+.f64 (/.f64 (log.f64 (-.f64 (exp.f64 z) 1)) t) (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 y)) t)) (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) (*.f64 y t)))))
(-.f64 (+.f64 (/.f64 (log.f64 (-.f64 (exp.f64 z) 1)) t) (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 y)) t)) (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) (*.f64 y t))))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (*.f64 (pow.f64 y 2) t)))))
(-.f64 (+.f64 (/.f64 (log.f64 (-.f64 (exp.f64 z) 1)) t) (+.f64 (*.f64 1/3 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 3) (*.f64 (pow.f64 y 3) t)))) (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 y)) t)) (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) (*.f64 y t)))))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (*.f64 (pow.f64 y 2) t)))))
(/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1)))) t)
(+.f64 (/.f64 (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1))) t) (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 y)) t)) (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) (*.f64 y t)))))
(-.f64 (+.f64 (/.f64 (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1))) t) (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 y)) t)) (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) (*.f64 y t))))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (*.f64 (pow.f64 y 2) t)))))
(-.f64 (+.f64 (/.f64 (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1))) t) (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 y)) t)) (+.f64 (*.f64 1/3 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 3) (*.f64 (pow.f64 y 3) t)))) (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) (*.f64 y t)))))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (*.f64 (pow.f64 y 2) t)))))
(/.f64 (*.f64 y z) t)
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 z 2) (+.f64 (*.f64 -1 (pow.f64 y 2)) y)) t)) (/.f64 (*.f64 y z) t))
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 z 2) (+.f64 (*.f64 -1 (pow.f64 y 2)) y)) t)) (+.f64 (*.f64 1/6 (/.f64 (*.f64 (+.f64 y (+.f64 (*.f64 -3 (pow.f64 y 2)) (*.f64 2 (pow.f64 y 3)))) (pow.f64 z 3)) t)) (/.f64 (*.f64 y z) t)))
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 z 2) (+.f64 (*.f64 -1 (pow.f64 y 2)) y)) t)) (+.f64 (*.f64 1/6 (/.f64 (*.f64 (+.f64 y (+.f64 (*.f64 -3 (pow.f64 y 2)) (*.f64 2 (pow.f64 y 3)))) (pow.f64 z 3)) t)) (+.f64 (/.f64 (*.f64 y z) t) (*.f64 1/24 (/.f64 (*.f64 (+.f64 y (+.f64 (*.f64 -3 (pow.f64 y 2)) (+.f64 (*.f64 12 (pow.f64 y 3)) (+.f64 (*.f64 -4 (pow.f64 y 2)) (*.f64 -6 (pow.f64 y 4)))))) (pow.f64 z 4)) t)))))
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)
(-.f64 (exp.f64 (log1p.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) 1)
(*.f64 1 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))
(*.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (/.f64 1 t))
(*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 1)
(*.f64 (sqrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) (sqrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))
(*.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (/.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) t))
(*.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 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 2) (pow.f64 (cbrt.f64 t) 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)))
(*.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 2) t))
(*.f64 (/.f64 1 t) (log1p.f64 (*.f64 y (expm1.f64 z))))
(*.f64 (/.f64 1 t) (pow.f64 (/.f64 1 (log1p.f64 (*.f64 y (expm1.f64 z)))) -1))
(*.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (/.f64 -1 t))
(*.f64 -1 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t)))
(*.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 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t)) -1)
(*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (sqrt.f64 t)) (/.f64 1 (sqrt.f64 t)))
(*.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 (log1p.f64 (*.f64 y (expm1.f64 z))) (cbrt.f64 t)) (/.f64 1 (pow.f64 (cbrt.f64 t) 2)))
(*.f64 (/.f64 -1 t) (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))))
(*.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)))) t) (/.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 1))
(*.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 y (expm1.f64 z)))) (cbrt.f64 t)) (/.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (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 (/.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) t) (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 2) 1))
(*.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 y (expm1.f64 z)))) (sqrt.f64 t)) (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 2) (sqrt.f64 t)))
(*.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)))
(*.f64 (pow.f64 (/.f64 1 (log1p.f64 (*.f64 y (expm1.f64 z)))) -1) (/.f64 1 t))
(*.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 (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 (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 (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 (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 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 (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 (/.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))))))
(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)
(neg.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t)))
(sqrt.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 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)))
(log1p.f64 (expm1.f64 (/.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 (expm1.f64 z) (/.f64 t y))
(*.f64 (/.f64 (expm1.f64 z) t) y)
(*.f64 y (/.f64 (expm1.f64 z) t))
(+.f64 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t) (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (pow.f64 y 2)) t)))
(+.f64 (/.f64 (expm1.f64 z) (/.f64 t y)) (*.f64 -1/2 (/.f64 (pow.f64 (expm1.f64 z) 2) (/.f64 t (*.f64 y y)))))
(fma.f64 -1/2 (*.f64 (/.f64 (pow.f64 (expm1.f64 z) 2) t) (*.f64 y y)) (*.f64 (/.f64 (expm1.f64 z) t) y))
(fma.f64 -1/2 (*.f64 (*.f64 y y) (/.f64 (pow.f64 (expm1.f64 z) 2) t)) (*.f64 y (/.f64 (expm1.f64 z) t)))
(+.f64 (*.f64 1/3 (/.f64 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 3) (pow.f64 y 3)) t)) (+.f64 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t) (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (pow.f64 y 2)) t))))
(fma.f64 1/3 (/.f64 (pow.f64 (expm1.f64 z) 3) (/.f64 t (pow.f64 y 3))) (+.f64 (/.f64 (expm1.f64 z) (/.f64 t y)) (*.f64 -1/2 (/.f64 (pow.f64 (expm1.f64 z) 2) (/.f64 t (*.f64 y y))))))
(fma.f64 1/3 (*.f64 (/.f64 (pow.f64 (expm1.f64 z) 3) t) (pow.f64 y 3)) (fma.f64 -1/2 (*.f64 (/.f64 (pow.f64 (expm1.f64 z) 2) t) (*.f64 y y)) (*.f64 (/.f64 (expm1.f64 z) t) y)))
(fma.f64 1/3 (*.f64 (pow.f64 y 3) (/.f64 (pow.f64 (expm1.f64 z) 3) t)) (fma.f64 -1/2 (*.f64 (*.f64 y y) (/.f64 (pow.f64 (expm1.f64 z) 2) t)) (*.f64 y (/.f64 (expm1.f64 z) 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)))))
(fma.f64 -1/4 (/.f64 (pow.f64 (expm1.f64 z) 4) (/.f64 t (pow.f64 y 4))) (fma.f64 1/3 (/.f64 (pow.f64 (expm1.f64 z) 3) (/.f64 t (pow.f64 y 3))) (+.f64 (/.f64 (expm1.f64 z) (/.f64 t y)) (*.f64 -1/2 (/.f64 (pow.f64 (expm1.f64 z) 2) (/.f64 t (*.f64 y y)))))))
(fma.f64 -1/4 (*.f64 (/.f64 (pow.f64 (expm1.f64 z) 4) t) (pow.f64 y 4)) (fma.f64 1/3 (*.f64 (/.f64 (pow.f64 (expm1.f64 z) 3) t) (pow.f64 y 3)) (fma.f64 -1/2 (*.f64 (/.f64 (pow.f64 (expm1.f64 z) 2) t) (*.f64 y y)) (*.f64 (/.f64 (expm1.f64 z) t) y))))
(fma.f64 -1/4 (*.f64 (pow.f64 y 4) (/.f64 (pow.f64 (expm1.f64 z) 4) t)) (fma.f64 1/3 (*.f64 (pow.f64 y 3) (/.f64 (pow.f64 (expm1.f64 z) 3) t)) (fma.f64 -1/2 (*.f64 (*.f64 y y) (/.f64 (pow.f64 (expm1.f64 z) 2) t)) (*.f64 y (/.f64 (expm1.f64 z) t)))))
(/.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) t)
(/.f64 (+.f64 (log.f64 (expm1.f64 z)) (neg.f64 (neg.f64 (log.f64 y)))) t)
(/.f64 (+.f64 (log.f64 (expm1.f64 z)) (log.f64 y)) t)
(+.f64 (/.f64 (log.f64 (-.f64 (exp.f64 z) 1)) t) (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 y)) t)) (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) (*.f64 y t)))))
(+.f64 (/.f64 (log.f64 (expm1.f64 z)) t) (fma.f64 -1 (/.f64 (neg.f64 (log.f64 y)) t) (/.f64 1 (*.f64 (expm1.f64 z) (*.f64 y t)))))
(+.f64 (/.f64 (log.f64 (expm1.f64 z)) t) (+.f64 (/.f64 (log.f64 y) t) (/.f64 1 (*.f64 (expm1.f64 z) (*.f64 y t)))))
(+.f64 (/.f64 (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 (pow.f64 (expm1.f64 z) 2) (*.f64 t (*.f64 y y))))))
(+.f64 (/.f64 (log.f64 (expm1.f64 z)) t) (+.f64 (/.f64 1 (*.f64 (expm1.f64 z) (*.f64 y t))) (-.f64 (/.f64 (log.f64 y) t) (/.f64 (/.f64 (/.f64 1/2 y) (*.f64 y t)) (pow.f64 (expm1.f64 z) 2)))))
(-.f64 (+.f64 (/.f64 (log.f64 (-.f64 (exp.f64 z) 1)) t) (+.f64 (*.f64 1/3 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 3) (*.f64 (pow.f64 y 3) t)))) (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 y)) t)) (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) (*.f64 y t)))))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (*.f64 (pow.f64 y 2) t)))))
(+.f64 (/.f64 (log.f64 (expm1.f64 z)) t) (-.f64 (+.f64 (fma.f64 -1 (/.f64 (neg.f64 (log.f64 y)) t) (/.f64 1 (*.f64 (expm1.f64 z) (*.f64 y t)))) (/.f64 1/3 (*.f64 (pow.f64 (expm1.f64 z) 3) (*.f64 t (pow.f64 y 3))))) (/.f64 1/2 (*.f64 (pow.f64 (expm1.f64 z) 2) (*.f64 t (*.f64 y y))))))
(+.f64 (/.f64 (log.f64 (expm1.f64 z)) t) (+.f64 (+.f64 (/.f64 (log.f64 y) t) (/.f64 1 (*.f64 (expm1.f64 z) (*.f64 y t)))) (-.f64 (/.f64 1/3 (*.f64 (pow.f64 (expm1.f64 z) 3) (*.f64 t (pow.f64 y 3)))) (/.f64 1/2 (*.f64 (pow.f64 (expm1.f64 z) 2) (*.f64 t (*.f64 y y)))))))
(+.f64 (/.f64 (log.f64 (expm1.f64 z)) t) (+.f64 (+.f64 (/.f64 (log.f64 y) t) (/.f64 1 (*.f64 (expm1.f64 z) (*.f64 y t)))) (+.f64 (/.f64 1/3 (*.f64 t (*.f64 (pow.f64 (expm1.f64 z) 3) (pow.f64 y 3)))) (/.f64 (/.f64 -1/2 t) (*.f64 (pow.f64 (expm1.f64 z) 2) (*.f64 y y))))))
(/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1)))) t)
(/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 (neg.f64 (expm1.f64 z)))) t)
(/.f64 (-.f64 (log.f64 (neg.f64 (expm1.f64 z))) (log.f64 (/.f64 -1 y))) t)
(+.f64 (/.f64 (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1))) t) (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 y)) t)) (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) (*.f64 y t)))))
(+.f64 (/.f64 (log.f64 (neg.f64 (expm1.f64 z))) t) (fma.f64 -1 (/.f64 (log.f64 (/.f64 -1 y)) t) (/.f64 1 (*.f64 (expm1.f64 z) (*.f64 y t)))))
(+.f64 (/.f64 (log.f64 (neg.f64 (expm1.f64 z))) t) (-.f64 (/.f64 1 (*.f64 (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 (/.f64 (log.f64 (neg.f64 (expm1.f64 z))) t) (fma.f64 -1 (/.f64 (log.f64 (/.f64 -1 y)) t) (/.f64 1 (*.f64 (expm1.f64 z) (*.f64 y t))))) (/.f64 1/2 (*.f64 (pow.f64 (expm1.f64 z) 2) (*.f64 t (*.f64 y y)))))
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(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 t (log1p.f64 (*.f64 (expm1.f64 z) y)))) 2)) (/.f64 1 (cbrt.f64 (/.f64 t (log1p.f64 (*.f64 (expm1.f64 z) y))))))
(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 t (log1p.f64 (*.f64 (expm1.f64 z) y)))) 2)) (cbrt.f64 (/.f64 t (log1p.f64 (*.f64 (expm1.f64 z) y)))))
(*.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 (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 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 (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 (/.f64 (sqrt.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) (sqrt.f64 (neg.f64 t))) (sqrt.f64 (neg.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)))))
(/.f64 (sqrt.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) (/.f64 (sqrt.f64 (neg.f64 t)) (sqrt.f64 (neg.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))))))
(*.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 (log1p.f64 (*.f64 (expm1.f64 z) y)) 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 (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 (neg.f64 t))) (cbrt.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) 2) (cbrt.f64 (neg.f64 t))) (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) (/.f64 (cbrt.f64 (neg.f64 t)) (cbrt.f64 (neg.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))))))
(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)
(neg.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t)))
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)
(sqrt.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 2))
(sqrt.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) 2))
(fabs.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))
(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)
(log1p.f64 (expm1.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)

localize33.0ms (0.2%)

Local error

Found 1 expressions with local error:

NewErrorProgram
6.4b
(*.f64 (/.f64 y t) (neg.f64 z))
Compiler

Compiled 18 to 7 computations (61.1% saved)

series1.0ms (0%)

Counts
1 → 36
Calls

9 calls:

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

rewrite55.0ms (0.3%)

Algorithm
batch-egg-rewrite
Rules
1790×add-sqr-sqrt
1778×*-un-lft-identity
1650×add-cube-cbrt
1624×add-cbrt-cube
192×pow1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0917
118813
2253013
Stop Event
node limit
Counts
1 → 25
Calls
Call 1
Inputs
(*.f64 (/.f64 y t) (neg.f64 z))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 (/.f64 y t) z))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 y t) z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 y (/.f64 t z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 z (/.f64 t y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 t (*.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y z) t)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y z) (neg.f64 t))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 z (neg.f64 y)) (neg.f64 t))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 y) z) (neg.f64 t))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 y z) 1) t)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 y z) (sqrt.f64 t)) (sqrt.f64 t))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 y z) (pow.f64 (cbrt.f64 t) 2)) (cbrt.f64 t))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 y t) z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 y t) z)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 y t) z)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 y t) z) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (/.f64 y t) z))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (/.f64 y t) z) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 z) (/.f64 y t)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 y t) z))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 y t) z) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 y t) z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 y t) z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 y t) z)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 y t) z)))))))

simplify58.0ms (0.3%)

Algorithm
egg-herbie
Rules
1490×associate-/r/
1094×associate-*r*
980×associate-*l*
604×associate-+r+
562×associate-+l+
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
066949
1150949
2593949
34220949
Stop Event
node limit
Counts
61 → 31
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 0 (*.f64 (/.f64 y t) z))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 y 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 z (neg.f64 y)) (neg.f64 t))
(/.f64 (*.f64 (neg.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 (/.f64 y t) z) 1)
(pow.f64 (sqrt.f64 (*.f64 (/.f64 y t) z)) 2)
(pow.f64 (cbrt.f64 (*.f64 (/.f64 y t) z)) 3)
(pow.f64 (pow.f64 (*.f64 (/.f64 y t) z) 3) 1/3)
(neg.f64 (*.f64 (/.f64 y t) z))
(sqrt.f64 (pow.f64 (*.f64 (/.f64 y t) z) 2))
(log.f64 (pow.f64 (exp.f64 z) (/.f64 y t)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 y t) z))))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 y t) z) 3))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 y t) z)))
(exp.f64 (log.f64 (*.f64 (/.f64 y t) z)))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 y t) z)) 1))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 y t) z)))
Outputs
(*.f64 -1 (/.f64 (*.f64 y z) t))
(*.f64 (/.f64 y t) (neg.f64 z))
(*.f64 y (neg.f64 (/.f64 z t)))
(*.f64 y (/.f64 (neg.f64 z) t))
(*.f64 -1 (/.f64 (*.f64 y z) t))
(*.f64 (/.f64 y t) (neg.f64 z))
(*.f64 y (neg.f64 (/.f64 z t)))
(*.f64 y (/.f64 (neg.f64 z) t))
(*.f64 -1 (/.f64 (*.f64 y z) t))
(*.f64 (/.f64 y t) (neg.f64 z))
(*.f64 y (neg.f64 (/.f64 z t)))
(*.f64 y (/.f64 (neg.f64 z) t))
(*.f64 -1 (/.f64 (*.f64 y z) t))
(*.f64 (/.f64 y t) (neg.f64 z))
(*.f64 y (neg.f64 (/.f64 z t)))
(*.f64 y (/.f64 (neg.f64 z) t))
(*.f64 -1 (/.f64 (*.f64 y z) t))
(*.f64 (/.f64 y t) (neg.f64 z))
(*.f64 y (neg.f64 (/.f64 z t)))
(*.f64 y (/.f64 (neg.f64 z) t))
(*.f64 -1 (/.f64 (*.f64 y z) t))
(*.f64 (/.f64 y t) (neg.f64 z))
(*.f64 y (neg.f64 (/.f64 z t)))
(*.f64 y (/.f64 (neg.f64 z) t))
(*.f64 -1 (/.f64 (*.f64 y z) t))
(*.f64 (/.f64 y t) (neg.f64 z))
(*.f64 y (neg.f64 (/.f64 z t)))
(*.f64 y (/.f64 (neg.f64 z) t))
(*.f64 -1 (/.f64 (*.f64 y z) t))
(*.f64 (/.f64 y t) (neg.f64 z))
(*.f64 y (neg.f64 (/.f64 z t)))
(*.f64 y (/.f64 (neg.f64 z) t))
(*.f64 -1 (/.f64 (*.f64 y z) t))
(*.f64 (/.f64 y t) (neg.f64 z))
(*.f64 y (neg.f64 (/.f64 z t)))
(*.f64 y (/.f64 (neg.f64 z) t))
(*.f64 -1 (/.f64 (*.f64 y z) t))
(*.f64 (/.f64 y t) (neg.f64 z))
(*.f64 y (neg.f64 (/.f64 z t)))
(*.f64 y (/.f64 (neg.f64 z) t))
(*.f64 -1 (/.f64 (*.f64 y z) t))
(*.f64 (/.f64 y t) (neg.f64 z))
(*.f64 y (neg.f64 (/.f64 z t)))
(*.f64 y (/.f64 (neg.f64 z) t))
(*.f64 -1 (/.f64 (*.f64 y z) t))
(*.f64 (/.f64 y t) (neg.f64 z))
(*.f64 y (neg.f64 (/.f64 z t)))
(*.f64 y (/.f64 (neg.f64 z) t))
(*.f64 -1 (/.f64 (*.f64 y z) t))
(*.f64 (/.f64 y t) (neg.f64 z))
(*.f64 y (neg.f64 (/.f64 z t)))
(*.f64 y (/.f64 (neg.f64 z) t))
(*.f64 -1 (/.f64 (*.f64 y z) t))
(*.f64 (/.f64 y t) (neg.f64 z))
(*.f64 y (neg.f64 (/.f64 z t)))
(*.f64 y (/.f64 (neg.f64 z) t))
(*.f64 -1 (/.f64 (*.f64 y z) t))
(*.f64 (/.f64 y t) (neg.f64 z))
(*.f64 y (neg.f64 (/.f64 z t)))
(*.f64 y (/.f64 (neg.f64 z) t))
(*.f64 -1 (/.f64 (*.f64 y z) t))
(*.f64 (/.f64 y t) (neg.f64 z))
(*.f64 y (neg.f64 (/.f64 z t)))
(*.f64 y (/.f64 (neg.f64 z) t))
(*.f64 -1 (/.f64 (*.f64 y z) t))
(*.f64 (/.f64 y t) (neg.f64 z))
(*.f64 y (neg.f64 (/.f64 z t)))
(*.f64 y (/.f64 (neg.f64 z) t))
(*.f64 -1 (/.f64 (*.f64 y z) t))
(*.f64 (/.f64 y t) (neg.f64 z))
(*.f64 y (neg.f64 (/.f64 z t)))
(*.f64 y (/.f64 (neg.f64 z) t))
(*.f64 -1 (/.f64 (*.f64 y z) t))
(*.f64 (/.f64 y t) (neg.f64 z))
(*.f64 y (neg.f64 (/.f64 z t)))
(*.f64 y (/.f64 (neg.f64 z) t))
(*.f64 -1 (/.f64 (*.f64 y z) t))
(*.f64 (/.f64 y t) (neg.f64 z))
(*.f64 y (neg.f64 (/.f64 z t)))
(*.f64 y (/.f64 (neg.f64 z) t))
(*.f64 -1 (/.f64 (*.f64 y z) t))
(*.f64 (/.f64 y t) (neg.f64 z))
(*.f64 y (neg.f64 (/.f64 z t)))
(*.f64 y (/.f64 (neg.f64 z) t))
(*.f64 -1 (/.f64 (*.f64 y z) t))
(*.f64 (/.f64 y t) (neg.f64 z))
(*.f64 y (neg.f64 (/.f64 z t)))
(*.f64 y (/.f64 (neg.f64 z) t))
(*.f64 -1 (/.f64 (*.f64 y z) t))
(*.f64 (/.f64 y t) (neg.f64 z))
(*.f64 y (neg.f64 (/.f64 z t)))
(*.f64 y (/.f64 (neg.f64 z) t))
(*.f64 -1 (/.f64 (*.f64 y z) t))
(*.f64 (/.f64 y t) (neg.f64 z))
(*.f64 y (neg.f64 (/.f64 z t)))
(*.f64 y (/.f64 (neg.f64 z) t))
(*.f64 -1 (/.f64 (*.f64 y z) t))
(*.f64 (/.f64 y t) (neg.f64 z))
(*.f64 y (neg.f64 (/.f64 z t)))
(*.f64 y (/.f64 (neg.f64 z) t))
(*.f64 -1 (/.f64 (*.f64 y z) t))
(*.f64 (/.f64 y t) (neg.f64 z))
(*.f64 y (neg.f64 (/.f64 z t)))
(*.f64 y (/.f64 (neg.f64 z) t))
(*.f64 -1 (/.f64 (*.f64 y z) t))
(*.f64 (/.f64 y t) (neg.f64 z))
(*.f64 y (neg.f64 (/.f64 z t)))
(*.f64 y (/.f64 (neg.f64 z) t))
(*.f64 -1 (/.f64 (*.f64 y z) t))
(*.f64 (/.f64 y t) (neg.f64 z))
(*.f64 y (neg.f64 (/.f64 z t)))
(*.f64 y (/.f64 (neg.f64 z) t))
(*.f64 -1 (/.f64 (*.f64 y z) t))
(*.f64 (/.f64 y t) (neg.f64 z))
(*.f64 y (neg.f64 (/.f64 z t)))
(*.f64 y (/.f64 (neg.f64 z) t))
(*.f64 -1 (/.f64 (*.f64 y z) t))
(*.f64 (/.f64 y t) (neg.f64 z))
(*.f64 y (neg.f64 (/.f64 z t)))
(*.f64 y (/.f64 (neg.f64 z) t))
(*.f64 -1 (/.f64 (*.f64 y z) t))
(*.f64 (/.f64 y t) (neg.f64 z))
(*.f64 y (neg.f64 (/.f64 z t)))
(*.f64 y (/.f64 (neg.f64 z) t))
(*.f64 -1 (/.f64 (*.f64 y z) t))
(*.f64 (/.f64 y t) (neg.f64 z))
(*.f64 y (neg.f64 (/.f64 z t)))
(*.f64 y (/.f64 (neg.f64 z) t))
(*.f64 -1 (/.f64 (*.f64 y z) t))
(*.f64 (/.f64 y t) (neg.f64 z))
(*.f64 y (neg.f64 (/.f64 z t)))
(*.f64 y (/.f64 (neg.f64 z) t))
(*.f64 -1 (/.f64 (*.f64 y z) t))
(*.f64 (/.f64 y t) (neg.f64 z))
(*.f64 y (neg.f64 (/.f64 z t)))
(*.f64 y (/.f64 (neg.f64 z) t))
(*.f64 -1 (/.f64 (*.f64 y z) t))
(*.f64 (/.f64 y t) (neg.f64 z))
(*.f64 y (neg.f64 (/.f64 z t)))
(*.f64 y (/.f64 (neg.f64 z) t))
(*.f64 -1 (/.f64 (*.f64 y z) t))
(*.f64 (/.f64 y t) (neg.f64 z))
(*.f64 y (neg.f64 (/.f64 z t)))
(*.f64 y (/.f64 (neg.f64 z) t))
(-.f64 0 (*.f64 (/.f64 y t) z))
(*.f64 (/.f64 y t) (neg.f64 z))
(*.f64 y (neg.f64 (/.f64 z t)))
(*.f64 y (/.f64 (neg.f64 z) t))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 y t) z))) 1)
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(/.f64 z (/.f64 t y))
(/.f64 y (/.f64 t z))
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(/.f64 z (/.f64 t y))
(/.f64 z (/.f64 t y))
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(/.f64 1 (/.f64 t (*.f64 y z)))
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(/.f64 z (/.f64 t y))
(/.f64 (*.f64 y z) t)
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(/.f64 z (/.f64 t y))
(/.f64 (*.f64 y z) (neg.f64 t))
(*.f64 (/.f64 y t) (neg.f64 z))
(*.f64 y (neg.f64 (/.f64 z t)))
(*.f64 y (/.f64 (neg.f64 z) t))
(/.f64 (*.f64 z (neg.f64 y)) (neg.f64 t))
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(/.f64 z (/.f64 t y))
(/.f64 (*.f64 (neg.f64 y) z) (neg.f64 t))
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(/.f64 z (/.f64 t y))
(/.f64 (/.f64 (*.f64 y z) 1) t)
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(/.f64 z (/.f64 t y))
(/.f64 (/.f64 (*.f64 y z) (sqrt.f64 t)) (sqrt.f64 t))
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(/.f64 z (/.f64 t y))
(/.f64 (/.f64 (*.f64 y z) (pow.f64 (cbrt.f64 t) 2)) (cbrt.f64 t))
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(/.f64 z (/.f64 t y))
(pow.f64 (*.f64 (/.f64 y t) z) 1)
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(/.f64 z (/.f64 t y))
(pow.f64 (sqrt.f64 (*.f64 (/.f64 y t) z)) 2)
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(/.f64 z (/.f64 t y))
(pow.f64 (cbrt.f64 (*.f64 (/.f64 y t) z)) 3)
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(/.f64 z (/.f64 t y))
(pow.f64 (pow.f64 (*.f64 (/.f64 y t) z) 3) 1/3)
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(/.f64 z (/.f64 t y))
(neg.f64 (*.f64 (/.f64 y t) z))
(*.f64 (/.f64 y t) (neg.f64 z))
(*.f64 y (neg.f64 (/.f64 z t)))
(*.f64 y (/.f64 (neg.f64 z) t))
(sqrt.f64 (pow.f64 (*.f64 (/.f64 y t) z) 2))
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(/.f64 z (/.f64 t y))
(log.f64 (pow.f64 (exp.f64 z) (/.f64 y t)))
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(/.f64 z (/.f64 t y))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 y t) z))))
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(/.f64 z (/.f64 t y))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 y t) z) 3))
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(/.f64 z (/.f64 t y))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 y t) z)))
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(/.f64 z (/.f64 t y))
(exp.f64 (log.f64 (*.f64 (/.f64 y t) z)))
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(/.f64 z (/.f64 t y))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 y t) z)) 1))
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(/.f64 z (/.f64 t y))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 y t) z)))
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(/.f64 z (/.f64 t y))

localize13.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(-.f64 x (/.f64 (/.f64 y (/.f64 1 z)) t))
0.2b
(/.f64 y (/.f64 1 z))
5.3b
(/.f64 (/.f64 y (/.f64 1 z)) t)
Compiler

Compiled 33 to 19 computations (42.4% saved)

series3.0ms (0%)

Counts
3 → 108
Calls

27 calls:

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

rewrite92.0ms (0.5%)

Algorithm
batch-egg-rewrite
Rules
962×associate-/r/
826×swap-sqr
768×associate-/l/
550×distribute-lft-neg-in
496×distribute-rgt-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01157
124339
2355639
Stop Event
node limit
Counts
3 → 208
Calls
Call 1
Inputs
(/.f64 (/.f64 y (/.f64 1 z)) t)
(/.f64 y (/.f64 1 z))
(-.f64 x (/.f64 (/.f64 y (/.f64 1 z)) t))
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 y z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y z)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 z) (*.f64 y (sqrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 y z)) (sqrt.f64 (*.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 y z)) (neg.f64 (neg.f64 (sqrt.f64 (*.f64 y z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 y z)) (pow.f64 (cbrt.f64 (*.f64 y z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 y z)) 2) (cbrt.f64 (*.f64 y z)))))) (#(struct:change #<rule egg-rr> 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simplify181.0ms (1%)

Algorithm
egg-herbie
Rules
1132×associate-+r+
1078×associate-*r*
896×associate-*l*
680×+-commutative
642×fma-def
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
04928206
114027720
273747720
Stop Event
node limit
Counts
316 → 267
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)
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(pow.f64 (pow.f64 (-.f64 x (*.f64 (/.f64 y t) z)) 3) 1/3)
(neg.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (/.f64 y t) z) 2)) (neg.f64 (+.f64 (*.f64 (/.f64 y t) z) x))))
(neg.f64 (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 (/.f64 y t) z) 3)) (neg.f64 (fma.f64 x x (*.f64 (*.f64 (/.f64 y t) z) (+.f64 (*.f64 (/.f64 y t) z) x))))))
(sqrt.f64 (pow.f64 (-.f64 x (*.f64 (/.f64 y t) z)) 2))
(log.f64 (exp.f64 (-.f64 x (*.f64 (/.f64 y t) z))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 x (*.f64 (/.f64 y t) z)))))
(cbrt.f64 (pow.f64 (-.f64 x (*.f64 (/.f64 y t) z)) 3))
(expm1.f64 (log1p.f64 (-.f64 x (*.f64 (/.f64 y t) z))))
(exp.f64 (log.f64 (-.f64 x (*.f64 (/.f64 y t) z))))
(exp.f64 (*.f64 (log.f64 (-.f64 x (*.f64 (/.f64 y t) z))) 1))
(log1p.f64 (expm1.f64 (-.f64 x (*.f64 (/.f64 y t) z))))
(fma.f64 1 x (*.f64 (neg.f64 y) (/.f64 z t)))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (neg.f64 y) (/.f64 z t)))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 (neg.f64 y) (/.f64 z t)))
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 -1 (/.f64 (*.f64 y z) t))
(*.f64 (/.f64 z t) (neg.f64 y))
(*.f64 z (/.f64 (neg.f64 y) t))
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(*.f64 (/.f64 y (pow.f64 (cbrt.f64 t) 2)) (/.f64 z (cbrt.f64 t)))
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(/.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 z (/.f64 y t) x))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (/.f64 y t) z) 2)) (+.f64 (*.f64 (/.f64 y t) z) x))
(*.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 z (/.f64 y t)) 2)) (/.f64 1 (fma.f64 (/.f64 y t) z x)))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 z (/.f64 y t)) 2)) (fma.f64 z (/.f64 y t) x))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 (/.f64 y t) z) 3)) (fma.f64 x x (*.f64 (*.f64 (/.f64 y t) z) (+.f64 (*.f64 (/.f64 y t) z) x))))
(/.f64 (*.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 z (/.f64 y t)) 3)) 1) (fma.f64 x x (*.f64 (*.f64 z (/.f64 y t)) (fma.f64 (/.f64 y t) z x))))
(/.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 z (/.f64 y t) x))))
(/.f64 (-.f64 (*.f64 (pow.f64 x 3) (pow.f64 x 3)) (*.f64 (pow.f64 (*.f64 (/.f64 y t) z) 3) (pow.f64 (*.f64 (/.f64 y t) z) 3))) (*.f64 (fma.f64 x x (*.f64 (*.f64 (/.f64 y t) z) (+.f64 (*.f64 (/.f64 y t) z) x))) (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 (/.f64 y t) z) 3))))
(/.f64 (/.f64 (-.f64 (pow.f64 x 6) (pow.f64 (*.f64 z (/.f64 y t)) 6)) (fma.f64 x x (*.f64 (*.f64 z (/.f64 y t)) (fma.f64 (/.f64 y t) z x)))) (+.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 z (/.f64 y 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 (/.f64 y t) z) 3) (*.f64 (/.f64 y t) z))) (*.f64 (+.f64 (*.f64 (/.f64 y t) z) x) (+.f64 (pow.f64 (*.f64 (/.f64 y t) z) 2) (*.f64 x x))))
(/.f64 (-.f64 (pow.f64 x 4) (pow.f64 (*.f64 z (/.f64 y t)) 4)) (*.f64 (fma.f64 (/.f64 y t) z x) (+.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 z (/.f64 y 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 y) (/.f64 z t)) 3)) (+.f64 (*.f64 x x) (*.f64 (*.f64 (neg.f64 y) (/.f64 z t)) (-.f64 (*.f64 (neg.f64 y) (/.f64 z t)) x))))
(/.f64 (*.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 z (/.f64 y t)) 3)) 1) (fma.f64 x x (*.f64 (*.f64 z (/.f64 y t)) (fma.f64 (/.f64 y t) z x))))
(/.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 z (/.f64 y t) x))))
(/.f64 (-.f64 (pow.f64 (pow.f64 x 3) 3) (pow.f64 (pow.f64 (*.f64 (/.f64 y t) z) 3) 3)) (*.f64 (fma.f64 x x (*.f64 (*.f64 (/.f64 y t) z) (+.f64 (*.f64 (/.f64 y t) z) x))) (+.f64 (*.f64 (pow.f64 x 3) (pow.f64 x 3)) (*.f64 (pow.f64 (*.f64 (/.f64 y t) z) 3) (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 (/.f64 y t) z) 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)) (fma.f64 (/.f64 y t) z x)))) (+.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 z (/.f64 y 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 (/.f64 y t) z) 2) 3)) (*.f64 (+.f64 (*.f64 (/.f64 y t) z) x) (+.f64 (*.f64 (pow.f64 x 3) x) (*.f64 (pow.f64 (*.f64 (/.f64 y t) z) 2) (+.f64 (pow.f64 (*.f64 (/.f64 y t) z) 2) (*.f64 x x))))))
(/.f64 (/.f64 (-.f64 (pow.f64 x 6) (pow.f64 (pow.f64 (*.f64 z (/.f64 y t)) 2) 3)) (fma.f64 (/.f64 y t) z x)) (+.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 z (/.f64 y 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 (/.f64 y t) z) 2)) (neg.f64 (+.f64 (*.f64 (/.f64 y t) z) x)))
(/.f64 (+.f64 (pow.f64 (*.f64 z (/.f64 y t)) 2) (*.f64 x (neg.f64 x))) (neg.f64 (fma.f64 (/.f64 y t) z x)))
(/.f64 (-.f64 (pow.f64 (*.f64 z (/.f64 y t)) 2) (*.f64 x x)) (neg.f64 (fma.f64 z (/.f64 y t) x)))
(/.f64 (+.f64 (neg.f64 (pow.f64 x 3)) (pow.f64 (*.f64 (/.f64 y t) z) 3)) (neg.f64 (fma.f64 x x (*.f64 (*.f64 (/.f64 y t) z) (+.f64 (*.f64 (/.f64 y t) z) 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)) (fma.f64 (/.f64 y t) z x)))))
(/.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 z (/.f64 y t) x)))))
(pow.f64 (-.f64 x (*.f64 (/.f64 y t) z)) 1)
(-.f64 x (*.f64 z (/.f64 y t)))
(pow.f64 (sqrt.f64 (-.f64 x (*.f64 (/.f64 y t) z))) 2)
(-.f64 x (*.f64 z (/.f64 y t)))
(pow.f64 (cbrt.f64 (-.f64 x (*.f64 (/.f64 y t) z))) 3)
(-.f64 x (*.f64 z (/.f64 y t)))
(pow.f64 (pow.f64 (-.f64 x (*.f64 (/.f64 y t) z)) 3) 1/3)
(-.f64 x (*.f64 z (/.f64 y t)))
(neg.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (/.f64 y t) z) 2)) (neg.f64 (+.f64 (*.f64 (/.f64 y t) z) x))))
(/.f64 (+.f64 (pow.f64 (*.f64 z (/.f64 y t)) 2) (*.f64 x (neg.f64 x))) (neg.f64 (fma.f64 (/.f64 y t) z x)))
(/.f64 (-.f64 (pow.f64 (*.f64 z (/.f64 y t)) 2) (*.f64 x x)) (neg.f64 (fma.f64 z (/.f64 y t) x)))
(neg.f64 (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 (/.f64 y t) z) 3)) (neg.f64 (fma.f64 x x (*.f64 (*.f64 (/.f64 y t) z) (+.f64 (*.f64 (/.f64 y t) z) 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)) (fma.f64 (/.f64 y t) z x)))))
(/.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 z (/.f64 y t) x)))))
(sqrt.f64 (pow.f64 (-.f64 x (*.f64 (/.f64 y t) z)) 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 (/.f64 y t) z))))
(-.f64 x (*.f64 z (/.f64 y t)))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 x (*.f64 (/.f64 y t) z)))))
(-.f64 x (*.f64 z (/.f64 y t)))
(cbrt.f64 (pow.f64 (-.f64 x (*.f64 (/.f64 y t) z)) 3))
(-.f64 x (*.f64 z (/.f64 y t)))
(expm1.f64 (log1p.f64 (-.f64 x (*.f64 (/.f64 y t) z))))
(-.f64 x (*.f64 z (/.f64 y t)))
(exp.f64 (log.f64 (-.f64 x (*.f64 (/.f64 y t) z))))
(-.f64 x (*.f64 z (/.f64 y t)))
(exp.f64 (*.f64 (log.f64 (-.f64 x (*.f64 (/.f64 y t) z))) 1))
(-.f64 x (*.f64 z (/.f64 y t)))
(log1p.f64 (expm1.f64 (-.f64 x (*.f64 (/.f64 y t) z))))
(-.f64 x (*.f64 z (/.f64 y t)))
(fma.f64 1 x (*.f64 (neg.f64 y) (/.f64 z t)))
(-.f64 x (*.f64 z (/.f64 y t)))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (neg.f64 y) (/.f64 z t)))
(-.f64 x (*.f64 z (/.f64 y t)))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 (neg.f64 y) (/.f64 z t)))
(-.f64 x (*.f64 z (/.f64 y t)))

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(-.f64 x (/.f64 (expm1.f64 z) (/.f64 t y)))
4.4b
(/.f64 (expm1.f64 z) (/.f64 t y))
Compiler

Compiled 27 to 8 computations (70.4% saved)

series2.0ms (0%)

Counts
2 → 84
Calls

21 calls:

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

rewrite133.0ms (0.7%)

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
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simplify287.0ms (1.6%)

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

localize8.0ms (0%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.3b
(pow.f64 (pow.f64 x 1/3) 3)
2.5b
(pow.f64 x 1/3)
Compiler

Compiled 15 to 12 computations (20% saved)

series2.0ms (0%)

Counts
2 → 0
Calls

6 calls:

TimeVariablePointExpression
0.0ms
x
@-inf
(pow.f64 (pow.f64 x 1/3) 3)
0.0ms
x
@0
(pow.f64 (pow.f64 x 1/3) 3)
0.0ms
x
@-inf
(pow.f64 x 1/3)
0.0ms
x
@0
(pow.f64 x 1/3)
0.0ms
x
@inf
(pow.f64 (pow.f64 x 1/3) 3)

rewrite52.0ms (0.3%)

Algorithm
batch-egg-rewrite
Rules
1082×add-sqr-sqrt
1044×*-un-lft-identity
1004×add-cube-cbrt
998×add-cbrt-cube
994×pow1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
076
11576
214696
Stop Event
node limit
Counts
2 → 35
Calls
Call 1
Inputs
(pow.f64 x 1/3)
(pow.f64 (pow.f64 x 1/3) 3)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (cbrt.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x 1/6) (pow.f64 x 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 x)) (pow.f64 (pow.f64 (cbrt.f64 x) 2) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) (cbrt.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 x) 2) 1/3) (cbrt.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 x) 1/3) (pow.f64 (sqrt.f64 x) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 x)))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 x)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x 1/6) (*.f64 (pow.f64 x 1/6) (pow.f64 (cbrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) (*.f64 (cbrt.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) 1) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 x 1/6)) (pow.f64 x 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2)) (cbrt.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 x 1/6) 3) (pow.f64 (pow.f64 x 1/6) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) 3) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x . x)))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 x))))))

simplify42.0ms (0.2%)

Algorithm
egg-herbie
Rules
820×distribute-rgt-in
788×distribute-lft-in
760×exp-prod
746×log-prod
722×associate-*r*
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
071525
1145321
2486117
32001111
Stop Event
node limit
Counts
35 → 42
Calls
Call 1
Inputs
(-.f64 (+.f64 1 (cbrt.f64 x)) 1)
(*.f64 (cbrt.f64 x) 1)
(*.f64 1 (cbrt.f64 x))
(*.f64 (pow.f64 x 1/6) (pow.f64 x 1/6))
(*.f64 (cbrt.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2))
(*.f64 (cbrt.f64 (cbrt.f64 x)) (pow.f64 (pow.f64 (cbrt.f64 x) 2) 1/3))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) (cbrt.f64 (cbrt.f64 x)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) 2) 1/3) (cbrt.f64 (cbrt.f64 x)))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 x))
(*.f64 (pow.f64 (sqrt.f64 x) 1/3) (pow.f64 (sqrt.f64 x) 1/3))
(sqrt.f64 (pow.f64 (cbrt.f64 x) 2))
(log.f64 (exp.f64 (cbrt.f64 x)))
(cbrt.f64 x)
(expm1.f64 (log1p.f64 (cbrt.f64 x)))
(exp.f64 (log.f64 (cbrt.f64 x)))
(log1p.f64 (expm1.f64 (cbrt.f64 x)))
(-.f64 (+.f64 1 x) 1)
(*.f64 x 1)
(*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2))
(*.f64 1 x)
(*.f64 (sqrt.f64 x) (sqrt.f64 x))
(*.f64 (pow.f64 x 1/6) (*.f64 (pow.f64 x 1/6) (pow.f64 (cbrt.f64 x) 2)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) (*.f64 (cbrt.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2)))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) 1) (cbrt.f64 x))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 x 1/6)) (pow.f64 x 1/6))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2)) (cbrt.f64 (cbrt.f64 x)))
(*.f64 (pow.f64 (pow.f64 x 1/6) 3) (pow.f64 (pow.f64 x 1/6) 3))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) 3) (cbrt.f64 x))
(sqrt.f64 (*.f64 x x))
(log.f64 (exp.f64 x))
(cbrt.f64 (pow.f64 x 3))
(expm1.f64 (log1p.f64 x))
(exp.f64 (log.f64 x))
(log1p.f64 (expm1.f64 x))
Outputs
(-.f64 (+.f64 1 (cbrt.f64 x)) 1)
(+.f64 (+.f64 1 (cbrt.f64 x)) -1)
(+.f64 (cbrt.f64 x) 0)
(cbrt.f64 x)
(*.f64 (cbrt.f64 x) 1)
(+.f64 (+.f64 1 (cbrt.f64 x)) -1)
(+.f64 (cbrt.f64 x) 0)
(cbrt.f64 x)
(*.f64 1 (cbrt.f64 x))
(+.f64 (+.f64 1 (cbrt.f64 x)) -1)
(+.f64 (cbrt.f64 x) 0)
(cbrt.f64 x)
(*.f64 (pow.f64 x 1/6) (pow.f64 x 1/6))
(+.f64 (+.f64 1 (cbrt.f64 x)) -1)
(+.f64 (cbrt.f64 x) 0)
(cbrt.f64 x)
(*.f64 (cbrt.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2))
(+.f64 (+.f64 1 (cbrt.f64 x)) -1)
(+.f64 (cbrt.f64 x) 0)
(cbrt.f64 x)
(*.f64 (cbrt.f64 (cbrt.f64 x)) (pow.f64 (pow.f64 (cbrt.f64 x) 2) 1/3))
(+.f64 (+.f64 1 (cbrt.f64 x)) -1)
(+.f64 (cbrt.f64 x) 0)
(cbrt.f64 x)
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) (cbrt.f64 (cbrt.f64 x)))
(+.f64 (+.f64 1 (cbrt.f64 x)) -1)
(+.f64 (cbrt.f64 x) 0)
(cbrt.f64 x)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) 2) 1/3) (cbrt.f64 (cbrt.f64 x)))
(+.f64 (+.f64 1 (cbrt.f64 x)) -1)
(+.f64 (cbrt.f64 x) 0)
(cbrt.f64 x)
(*.f64 (pow.f64 1 1/3) (cbrt.f64 x))
(+.f64 (+.f64 1 (cbrt.f64 x)) -1)
(+.f64 (cbrt.f64 x) 0)
(cbrt.f64 x)
(*.f64 (pow.f64 (sqrt.f64 x) 1/3) (pow.f64 (sqrt.f64 x) 1/3))
(*.f64 (cbrt.f64 (sqrt.f64 x)) (cbrt.f64 (sqrt.f64 x)))
(pow.f64 (pow.f64 (sqrt.f64 x) 1/6) 4)
(sqrt.f64 (pow.f64 (cbrt.f64 x) 2))
(+.f64 (+.f64 1 (cbrt.f64 x)) -1)
(+.f64 (cbrt.f64 x) 0)
(cbrt.f64 x)
(log.f64 (exp.f64 (cbrt.f64 x)))
(+.f64 (+.f64 1 (cbrt.f64 x)) -1)
(+.f64 (cbrt.f64 x) 0)
(cbrt.f64 x)
(cbrt.f64 x)
(+.f64 (+.f64 1 (cbrt.f64 x)) -1)
(+.f64 (cbrt.f64 x) 0)
(expm1.f64 (log1p.f64 (cbrt.f64 x)))
(+.f64 (+.f64 1 (cbrt.f64 x)) -1)
(+.f64 (cbrt.f64 x) 0)
(cbrt.f64 x)
(exp.f64 (log.f64 (cbrt.f64 x)))
(+.f64 (+.f64 1 (cbrt.f64 x)) -1)
(+.f64 (cbrt.f64 x) 0)
(cbrt.f64 x)
(log1p.f64 (expm1.f64 (cbrt.f64 x)))
(+.f64 (+.f64 1 (cbrt.f64 x)) -1)
(+.f64 (cbrt.f64 x) 0)
(cbrt.f64 x)
(-.f64 (+.f64 1 x) 1)
(+.f64 (+.f64 1 x) -1)
(+.f64 x 0)
x
(*.f64 x 1)
(+.f64 (+.f64 1 x) -1)
(+.f64 x 0)
x
(*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2))
(+.f64 (+.f64 1 x) -1)
(+.f64 x 0)
x
(*.f64 1 x)
(+.f64 (+.f64 1 x) -1)
(+.f64 x 0)
x
(*.f64 (sqrt.f64 x) (sqrt.f64 x))
(+.f64 (+.f64 1 x) -1)
(+.f64 x 0)
x
(*.f64 (pow.f64 x 1/6) (*.f64 (pow.f64 x 1/6) (pow.f64 (cbrt.f64 x) 2)))
(+.f64 (+.f64 1 x) -1)
(+.f64 x 0)
x
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) (*.f64 (cbrt.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2)))
(+.f64 (+.f64 1 x) -1)
(+.f64 x 0)
x
(*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x))
(+.f64 (+.f64 1 x) -1)
(+.f64 x 0)
x
(*.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) 1) (cbrt.f64 x))
(+.f64 (+.f64 1 x) -1)
(+.f64 x 0)
x
(*.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 x 1/6)) (pow.f64 x 1/6))
(+.f64 (+.f64 1 x) -1)
(+.f64 x 0)
x
(*.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2)) (cbrt.f64 (cbrt.f64 x)))
(+.f64 (+.f64 1 x) -1)
(+.f64 x 0)
x
(*.f64 (pow.f64 (pow.f64 x 1/6) 3) (pow.f64 (pow.f64 x 1/6) 3))
(+.f64 (+.f64 1 x) -1)
(+.f64 x 0)
x
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) 3) (cbrt.f64 x))
(+.f64 (+.f64 1 x) -1)
(+.f64 x 0)
x
(sqrt.f64 (*.f64 x x))
(+.f64 (+.f64 1 x) -1)
(+.f64 x 0)
x
(log.f64 (exp.f64 x))
(+.f64 (+.f64 1 x) -1)
(+.f64 x 0)
x
(cbrt.f64 (pow.f64 x 3))
(+.f64 (+.f64 1 x) -1)
(+.f64 x 0)
x
(expm1.f64 (log1p.f64 x))
(+.f64 (+.f64 1 x) -1)
(+.f64 x 0)
x
(exp.f64 (log.f64 x))
(+.f64 (+.f64 1 x) -1)
(+.f64 x 0)
x
(log1p.f64 (expm1.f64 x))
(+.f64 (+.f64 1 x) -1)
(+.f64 x 0)
x

eval457.0ms (2.5%)

Compiler

Compiled 23255 to 8682 computations (62.7% saved)

prune278.0ms (1.5%)

Pruning

27 alts after pruning (20 fresh and 7 done)

PrunedKeptTotal
New9719980
Fresh71118
Picked101
Done077
Total979271006
Error
0b
Counts
1006 → 27
Alt Table
Click to see full alt table
StatusErrorProgram
2.8b
(pow.f64 (cbrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) 3)
56.0b
(/.f64 (*.f64 y z) (neg.f64 t))
43.5b
(/.f64 (neg.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) t)
18.2b
(/.f64 1 (/.f64 1 (-.f64 x (*.f64 y (/.f64 z t)))))
33.1b
(-.f64 (+.f64 1 x) 1)
2.0b
(-.f64 x (/.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (pow.f64 (cbrt.f64 t) 2)) (cbrt.f64 t)))
19.3b
(-.f64 x (/.f64 (/.f64 y (/.f64 1 z)) t))
2.1b
(-.f64 x (/.f64 (/.f64 1 t) (/.f64 1 (log1p.f64 (*.f64 y (expm1.f64 z))))))
53.2b
(-.f64 x (/.f64 (+.f64 (log.f64 (expm1.f64 z)) (log.f64 y)) t))
1.7b
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))
13.5b
(-.f64 x (/.f64 (expm1.f64 z) (/.f64 t y)))
18.1b
(-.f64 x (/.f64 y (/.f64 t z)))
1.7b
(-.f64 x (/.f64 1 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z))))))
9.1b
(-.f64 x (/.f64 1 (+.f64 (/.f64 t (*.f64 (expm1.f64 z) y)) (*.f64 t 1/2))))
50.0b
(-.f64 x (-.f64 (/.f64 (log.f64 (neg.f64 (expm1.f64 z))) t) (/.f64 (log.f64 (/.f64 -1 y)) t)))
21.5b
(-.f64 x (+.f64 (/.f64 y (/.f64 t z)) (*.f64 1/2 (/.f64 y (/.f64 t (*.f64 z z))))))
18.4b
(-.f64 x (*.f64 (/.f64 (pow.f64 t -1) (/.f64 1 z)) y))
10.6b
(-.f64 x (*.f64 (/.f64 (expm1.f64 z) t) y))
19.5b
(-.f64 x (*.f64 (/.f64 1 t) (*.f64 z y)))
2.0b
(-.f64 x (*.f64 (/.f64 1 t) (log1p.f64 (*.f64 y (expm1.f64 z)))))
18.4b
(-.f64 x (*.f64 y (*.f64 z (pow.f64 t -1))))
51.7b
(*.f64 (/.f64 (neg.f64 y) t) (expm1.f64 z))
54.8b
(*.f64 (/.f64 z t) (neg.f64 y))
56.4b
(*.f64 (/.f64 y t) (neg.f64 z))
57.4b
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
48.5b
(sqrt.f64 (*.f64 x x))
21.0b
x
Compiler

Compiled 621 to 445 computations (28.3% saved)

localize23.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.5b
(cbrt.f64 t)
0.5b
(pow.f64 (cbrt.f64 t) 2)
1.2b
(/.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (pow.f64 (cbrt.f64 t) 2)) (cbrt.f64 t))
2.8b
(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (pow.f64 (cbrt.f64 t) 2))
Compiler

Compiled 64 to 23 computations (64.1% saved)

series15.0ms (0.1%)

Counts
4 → 60
Calls

24 calls:

TimeVariablePointExpression
2.0ms
z
@inf
(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (pow.f64 (cbrt.f64 t) 2))
2.0ms
t
@-inf
(/.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (pow.f64 (cbrt.f64 t) 2)) (cbrt.f64 t))
1.0ms
y
@0
(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (pow.f64 (cbrt.f64 t) 2))
1.0ms
t
@-inf
(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (pow.f64 (cbrt.f64 t) 2))
1.0ms
z
@0
(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (pow.f64 (cbrt.f64 t) 2))

rewrite84.0ms (0.5%)

Algorithm
batch-egg-rewrite
Rules
1758×associate-*r/
1590×associate-/l*
1448×associate-*l/
286×add-sqr-sqrt
280×*-un-lft-identity
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01488
128668
2366468
Stop Event
node limit
Counts
4 → 111
Calls
Call 1
Inputs
(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (pow.f64 (cbrt.f64 t) 2))
(/.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (pow.f64 (cbrt.f64 t) 2)) (cbrt.f64 t))
(pow.f64 (cbrt.f64 t) 2)
(cbrt.f64 t)
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (/.f64 1 t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (/.f64 (pow.f64 (cbrt.f64 t) -2) (cbrt.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (pow.f64 (cbrt.f64 t) -2)) (/.f64 1 (cbrt.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) (sqrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (cbrt.f64 t)) (*.f64 (sqrt.f64 (log1p.f64 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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 t) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 t) (cbrt.f64 t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 t) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (cbrt.f64 t) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 t) (pow.f64 t 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 t 1/6) (*.f64 (pow.f64 t 1/6) (cbrt.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 t (cbrt.f64 t))) (cbrt.f64 (pow.f64 (cbrt.f64 t) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cbrt.f64 t) 2)) (cbrt.f64 (*.f64 t (cbrt.f64 t))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cbrt.f64 t) 2)) (*.f64 (cbrt.f64 (cbrt.f64 t)) (cbrt.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 t) (cbrt.f64 (pow.f64 (cbrt.f64 t) 2))) (cbrt.f64 (cbrt.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 t (cbrt.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (cbrt.f64 t) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cbrt.f64 t) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 t t))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 t) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2 (log.f64 (cbrt.f64 t))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (cbrt.f64 t))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 t) 2)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 t))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 t) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 t 1/6) (pow.f64 t 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 t)) (cbrt.f64 (pow.f64 (cbrt.f64 t) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cbrt.f64 t) 2)) (cbrt.f64 (cbrt.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (*.f64 t (cbrt.f64 t)))) (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 t) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 t) 1/3) (pow.f64 (sqrt.f64 t) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 t 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 t) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 t) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 t 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 t)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 t) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (cbrt.f64 t))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 t))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 t) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 t)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 t)))))))

simplify104.0ms (0.6%)

Algorithm
egg-herbie
Rules
1392×distribute-lft-in
814×associate-/r/
698×+-commutative
658×associate-+l+
644×associate-+r+
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
03937019
110266713
245796713
Stop Event
node limit
Counts
171 → 259
Calls
Call 1
Inputs
(*.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) (pow.f64 (/.f64 1 (pow.f64 t 2)) 1/3))
(+.f64 (*.f64 -1/2 (*.f64 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (pow.f64 y 2)) (pow.f64 (/.f64 1 (pow.f64 t 2)) 1/3))) (*.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) (pow.f64 (/.f64 1 (pow.f64 t 2)) 1/3)))
(+.f64 (*.f64 -1/2 (*.f64 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (pow.f64 y 2)) (pow.f64 (/.f64 1 (pow.f64 t 2)) 1/3))) (+.f64 (*.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) (pow.f64 (/.f64 1 (pow.f64 t 2)) 1/3)) (*.f64 1/3 (*.f64 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 3) (pow.f64 y 3)) (pow.f64 (/.f64 1 (pow.f64 t 2)) 1/3)))))
(+.f64 (*.f64 -1/4 (*.f64 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 4) (pow.f64 y 4)) (pow.f64 (/.f64 1 (pow.f64 t 2)) 1/3))) (+.f64 (*.f64 -1/2 (*.f64 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (pow.f64 y 2)) (pow.f64 (/.f64 1 (pow.f64 t 2)) 1/3))) (+.f64 (*.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) (pow.f64 (/.f64 1 (pow.f64 t 2)) 1/3)) (*.f64 1/3 (*.f64 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 3) (pow.f64 y 3)) (pow.f64 (/.f64 1 (pow.f64 t 2)) 1/3))))))
(*.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) (pow.f64 (/.f64 1 (pow.f64 t 2)) 1/3))
(+.f64 (*.f64 (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y)) (pow.f64 (/.f64 1 (pow.f64 t 2)) 1/3)) (*.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) (pow.f64 (/.f64 1 (pow.f64 t 2)) 1/3)))
(+.f64 (*.f64 -1/2 (*.f64 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (pow.f64 y 2))) (pow.f64 (/.f64 1 (pow.f64 t 2)) 1/3))) (+.f64 (*.f64 (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y)) (pow.f64 (/.f64 1 (pow.f64 t 2)) 1/3)) (*.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) (pow.f64 (/.f64 1 (pow.f64 t 2)) 1/3))))
(+.f64 (*.f64 -1/2 (*.f64 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (pow.f64 y 2))) (pow.f64 (/.f64 1 (pow.f64 t 2)) 1/3))) (+.f64 (*.f64 (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y)) (pow.f64 (/.f64 1 (pow.f64 t 2)) 1/3)) (+.f64 (*.f64 1/3 (*.f64 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 3) (pow.f64 y 3))) (pow.f64 (/.f64 1 (pow.f64 t 2)) 1/3))) (*.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) (pow.f64 (/.f64 1 (pow.f64 t 2)) 1/3)))))
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1)))) (pow.f64 (/.f64 1 (pow.f64 t 2)) 1/3))
(+.f64 (*.f64 (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y)) (pow.f64 (/.f64 1 (pow.f64 t 2)) 1/3)) (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1)))) (pow.f64 (/.f64 1 (pow.f64 t 2)) 1/3)))
(+.f64 (*.f64 -1/2 (*.f64 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (pow.f64 y 2))) (pow.f64 (/.f64 1 (pow.f64 t 2)) 1/3))) (+.f64 (*.f64 (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y)) (pow.f64 (/.f64 1 (pow.f64 t 2)) 1/3)) (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1)))) (pow.f64 (/.f64 1 (pow.f64 t 2)) 1/3))))
(+.f64 (*.f64 -1/2 (*.f64 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (pow.f64 y 2))) (pow.f64 (/.f64 1 (pow.f64 t 2)) 1/3))) (+.f64 (*.f64 (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y)) (pow.f64 (/.f64 1 (pow.f64 t 2)) 1/3)) (+.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1)))) (pow.f64 (/.f64 1 (pow.f64 t 2)) 1/3)) (*.f64 1/3 (*.f64 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 3) (pow.f64 y 3))) (pow.f64 (/.f64 1 (pow.f64 t 2)) 1/3))))))
(*.f64 (pow.f64 (/.f64 1 (pow.f64 t 2)) 1/3) (*.f64 y z))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 (/.f64 1 (pow.f64 t 2)) 1/3) (*.f64 (pow.f64 z 2) (+.f64 (*.f64 -1 (pow.f64 y 2)) y)))) (*.f64 (pow.f64 (/.f64 1 (pow.f64 t 2)) 1/3) (*.f64 y z)))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 (/.f64 1 (pow.f64 t 2)) 1/3) (*.f64 (pow.f64 z 2) (+.f64 (*.f64 -1 (pow.f64 y 2)) y)))) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 (/.f64 1 (pow.f64 t 2)) 1/3) (*.f64 (+.f64 y (+.f64 (*.f64 -3 (pow.f64 y 2)) (*.f64 2 (pow.f64 y 3)))) (pow.f64 z 3)))) (*.f64 (pow.f64 (/.f64 1 (pow.f64 t 2)) 1/3) (*.f64 y z))))
(+.f64 (*.f64 1/24 (*.f64 (pow.f64 (/.f64 1 (pow.f64 t 2)) 1/3) (*.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)))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 (/.f64 1 (pow.f64 t 2)) 1/3) (*.f64 (pow.f64 z 2) (+.f64 (*.f64 -1 (pow.f64 y 2)) y)))) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 (/.f64 1 (pow.f64 t 2)) 1/3) (*.f64 (+.f64 y (+.f64 (*.f64 -3 (pow.f64 y 2)) (*.f64 2 (pow.f64 y 3)))) (pow.f64 z 3)))) (*.f64 (pow.f64 (/.f64 1 (pow.f64 t 2)) 1/3) (*.f64 y z)))))
(*.f64 (pow.f64 (/.f64 1 (pow.f64 t 2)) 1/3) (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))))
(*.f64 (pow.f64 (/.f64 1 (pow.f64 t 2)) 1/3) (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))))
(*.f64 (pow.f64 (/.f64 1 (pow.f64 t 2)) 1/3) (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))))
(*.f64 (pow.f64 (/.f64 1 (pow.f64 t 2)) 1/3) (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))))
(*.f64 (pow.f64 (/.f64 1 (pow.f64 t 2)) 1/3) (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))))
(*.f64 (pow.f64 (/.f64 1 (pow.f64 t 2)) 1/3) (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))))
(*.f64 (pow.f64 (/.f64 1 (pow.f64 t 2)) 1/3) (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))))
(*.f64 (pow.f64 (/.f64 1 (pow.f64 t 2)) 1/3) (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(+.f64 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t) (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (pow.f64 y 2)) t)))
(+.f64 (*.f64 1/3 (/.f64 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 3) (pow.f64 y 3)) t)) (+.f64 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t) (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (pow.f64 y 2)) t))))
(+.f64 (*.f64 -1/4 (/.f64 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 4) (pow.f64 y 4)) t)) (+.f64 (*.f64 1/3 (/.f64 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 3) (pow.f64 y 3)) t)) (+.f64 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t) (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (pow.f64 y 2)) t)))))
(/.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) t)
(+.f64 (/.f64 (log.f64 (-.f64 (exp.f64 z) 1)) t) (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 y)) t)) (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) (*.f64 y t)))))
(-.f64 (+.f64 (/.f64 (log.f64 (-.f64 (exp.f64 z) 1)) t) (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 y)) t)) (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) (*.f64 y t))))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (*.f64 (pow.f64 y 2) t)))))
(-.f64 (+.f64 (/.f64 (log.f64 (-.f64 (exp.f64 z) 1)) t) (+.f64 (*.f64 1/3 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 3) (*.f64 (pow.f64 y 3) t)))) (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 y)) t)) (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) (*.f64 y t)))))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (*.f64 (pow.f64 y 2) t)))))
(/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1)))) t)
(+.f64 (/.f64 (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1))) t) (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 y)) t)) (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) (*.f64 y t)))))
(-.f64 (+.f64 (/.f64 (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1))) t) (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 y)) t)) (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) (*.f64 y t))))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (*.f64 (pow.f64 y 2) t)))))
(-.f64 (+.f64 (/.f64 (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1))) t) (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 y)) t)) (+.f64 (*.f64 1/3 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 3) (*.f64 (pow.f64 y 3) t)))) (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) (*.f64 y t)))))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (*.f64 (pow.f64 y 2) t)))))
(/.f64 (*.f64 y z) t)
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 z 2) (+.f64 (*.f64 -1 (pow.f64 y 2)) y)) t)) (/.f64 (*.f64 y z) t))
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 z 2) (+.f64 (*.f64 -1 (pow.f64 y 2)) y)) t)) (+.f64 (*.f64 1/6 (/.f64 (*.f64 (+.f64 y (+.f64 (*.f64 -3 (pow.f64 y 2)) (*.f64 2 (pow.f64 y 3)))) (pow.f64 z 3)) t)) (/.f64 (*.f64 y z) t)))
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 z 2) (+.f64 (*.f64 -1 (pow.f64 y 2)) y)) t)) (+.f64 (*.f64 1/6 (/.f64 (*.f64 (+.f64 y (+.f64 (*.f64 -3 (pow.f64 y 2)) (*.f64 2 (pow.f64 y 3)))) (pow.f64 z 3)) t)) (+.f64 (/.f64 (*.f64 y z) t) (*.f64 1/24 (/.f64 (*.f64 (+.f64 y (+.f64 (*.f64 -3 (pow.f64 y 2)) (+.f64 (*.f64 12 (pow.f64 y 3)) (+.f64 (*.f64 -4 (pow.f64 y 2)) (*.f64 -6 (pow.f64 y 4)))))) (pow.f64 z 4)) t)))))
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)
(-.f64 (exp.f64 (log1p.f64 (*.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (pow.f64 (cbrt.f64 t) -2)))) 1)
(*.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (pow.f64 (cbrt.f64 t) -2))
(*.f64 (*.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (pow.f64 (cbrt.f64 t) -2)) 1)
(*.f64 1 (*.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (pow.f64 (cbrt.f64 t) -2)))
(*.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (*.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (pow.f64 (cbrt.f64 t) -2)))
(*.f64 (/.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (cbrt.f64 t)) (/.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (cbrt.f64 t)))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 2) (*.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (pow.f64 (cbrt.f64 t) -2)))
(*.f64 (cbrt.f64 (*.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (pow.f64 (cbrt.f64 t) -2))) (pow.f64 (cbrt.f64 (*.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (pow.f64 (cbrt.f64 t) -2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (pow.f64 (cbrt.f64 t) -2))) 2) (cbrt.f64 (*.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (pow.f64 (cbrt.f64 t) -2))))
(*.f64 (pow.f64 (cbrt.f64 t) -2) (log1p.f64 (*.f64 y (expm1.f64 z))))
(*.f64 (/.f64 1 (cbrt.f64 t)) (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (cbrt.f64 t)))
(*.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (/.f64 1 (neg.f64 (pow.f64 (cbrt.f64 t) 2))))
(*.f64 (/.f64 1 (cbrt.f64 (*.f64 t (cbrt.f64 t)))) (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (cbrt.f64 (pow.f64 (cbrt.f64 t) 2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 2) (cbrt.f64 t)) (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))
(*.f64 (/.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 1) (/.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (pow.f64 (cbrt.f64 t) 2)))
(*.f64 (/.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (cbrt.f64 (*.f64 t (cbrt.f64 t)))) (/.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (cbrt.f64 (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)))) (pow.f64 (cbrt.f64 t) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 2) (cbrt.f64 (*.f64 t (cbrt.f64 t)))) (cbrt.f64 (*.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (pow.f64 (cbrt.f64 t) -2))))
(pow.f64 (*.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (pow.f64 (cbrt.f64 t) -2)) 1)
(pow.f64 (/.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (cbrt.f64 t)) 2)
(pow.f64 (cbrt.f64 (*.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (pow.f64 (cbrt.f64 t) -2))) 3)
(pow.f64 (/.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 3) (*.f64 t t)) 1/3)
(pow.f64 (/.f64 (pow.f64 (cbrt.f64 t) 2) (log1p.f64 (*.f64 y (expm1.f64 z)))) -1)
(neg.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 (pow.f64 (cbrt.f64 t) 2))))
(sqrt.f64 (/.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 2) (*.f64 t (cbrt.f64 t))))
(log.f64 (pow.f64 (+.f64 (*.f64 y (expm1.f64 z)) 1) (pow.f64 (cbrt.f64 t) -2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (pow.f64 (cbrt.f64 t) -2)))))
(cbrt.f64 (/.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 3) (*.f64 t t)))
(expm1.f64 (log1p.f64 (*.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (pow.f64 (cbrt.f64 t) -2))))
(exp.f64 (log.f64 (*.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (pow.f64 (cbrt.f64 t) -2))))
(exp.f64 (*.f64 (log.f64 (*.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (pow.f64 (cbrt.f64 t) -2))) 1))
(log1p.f64 (expm1.f64 (*.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (pow.f64 (cbrt.f64 t) -2))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) 1)
(*.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (/.f64 1 t))
(*.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (/.f64 (pow.f64 (cbrt.f64 t) -2) (cbrt.f64 t)))
(*.f64 (*.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (pow.f64 (cbrt.f64 t) -2)) (/.f64 1 (cbrt.f64 t)))
(*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 1)
(*.f64 1 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))
(*.f64 (sqrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) (sqrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))
(*.f64 (/.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (cbrt.f64 t)) (*.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (pow.f64 (cbrt.f64 t) -2)))
(*.f64 (/.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (cbrt.f64 t)) (/.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (pow.f64 (cbrt.f64 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))
(*.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 (pow.f64 (cbrt.f64 (*.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (pow.f64 (cbrt.f64 t) -2))) 2) (*.f64 (cbrt.f64 (*.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (pow.f64 (cbrt.f64 t) -2))) (/.f64 1 (cbrt.f64 t))))
(*.f64 (/.f64 1 (cbrt.f64 t)) (*.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (pow.f64 (cbrt.f64 t) -2)))
(*.f64 (*.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 (pow.f64 (cbrt.f64 t) -2))) (/.f64 1 (neg.f64 (cbrt.f64 t))))
(*.f64 (/.f64 1 (pow.f64 t 1/6)) (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (/.f64 (pow.f64 t 1/6) (pow.f64 (cbrt.f64 t) -2))))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (cbrt.f64 t) 2))) (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (/.f64 (cbrt.f64 (cbrt.f64 t)) (pow.f64 (cbrt.f64 t) -2))))
(*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 1) (/.f64 (pow.f64 (cbrt.f64 t) -2) (cbrt.f64 t)))
(*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (cbrt.f64 (pow.f64 (cbrt.f64 t) 2))) (/.f64 (pow.f64 (cbrt.f64 t) -2) (cbrt.f64 (cbrt.f64 t))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 2) (cbrt.f64 t)) (/.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (pow.f64 (cbrt.f64 t) 2)))
(*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (pow.f64 t 1/6)) (/.f64 (pow.f64 (cbrt.f64 t) -2) (pow.f64 t 1/6)))
(*.f64 (/.f64 (/.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (cbrt.f64 t)) (cbrt.f64 (pow.f64 (cbrt.f64 t) 2))) (/.f64 (/.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (cbrt.f64 t)) (cbrt.f64 (cbrt.f64 t))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (pow.f64 (cbrt.f64 t) -2))) 2) 1) (/.f64 (cbrt.f64 (*.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (pow.f64 (cbrt.f64 t) -2))) (cbrt.f64 t)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (pow.f64 (cbrt.f64 t) -2))) 2) (pow.f64 t 1/6)) (/.f64 (cbrt.f64 (*.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (pow.f64 (cbrt.f64 t) -2))) (pow.f64 t 1/6)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (pow.f64 (cbrt.f64 t) -2))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 t) 2))) (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))
(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)
(pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) -1)
(neg.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (/.f64 (neg.f64 (cbrt.f64 t)) (pow.f64 (cbrt.f64 t) -2))))
(sqrt.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 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 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 1))
(log1p.f64 (expm1.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 t) 2))) 1)
(*.f64 (cbrt.f64 t) (cbrt.f64 t))
(*.f64 (pow.f64 (cbrt.f64 t) 2) 1)
(*.f64 1 (pow.f64 (cbrt.f64 t) 2))
(*.f64 (sqrt.f64 t) (pow.f64 t 1/6))
(*.f64 (pow.f64 t 1/6) (*.f64 (pow.f64 t 1/6) (cbrt.f64 t)))
(*.f64 (cbrt.f64 (*.f64 t (cbrt.f64 t))) (cbrt.f64 (pow.f64 (cbrt.f64 t) 2)))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 t) 2)) (cbrt.f64 (*.f64 t (cbrt.f64 t))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 t) 2)) (*.f64 (cbrt.f64 (cbrt.f64 t)) (cbrt.f64 t)))
(*.f64 (*.f64 (cbrt.f64 t) (cbrt.f64 (pow.f64 (cbrt.f64 t) 2))) (cbrt.f64 (cbrt.f64 t)))
(sqrt.f64 (*.f64 t (cbrt.f64 t)))
(log.f64 (exp.f64 (pow.f64 (cbrt.f64 t) 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cbrt.f64 t) 2))))
(cbrt.f64 (*.f64 t t))
(expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 t) 2)))
(exp.f64 (*.f64 2 (log.f64 (cbrt.f64 t))))
(exp.f64 (*.f64 (*.f64 2 (log.f64 (cbrt.f64 t))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 t) 2)))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 t))) 1)
(*.f64 (cbrt.f64 t) 1)
(*.f64 1 (cbrt.f64 t))
(*.f64 (pow.f64 t 1/6) (pow.f64 t 1/6))
(*.f64 (cbrt.f64 (cbrt.f64 t)) (cbrt.f64 (pow.f64 (cbrt.f64 t) 2)))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 t) 2)) (cbrt.f64 (cbrt.f64 t)))
(*.f64 (sqrt.f64 (cbrt.f64 (*.f64 t (cbrt.f64 t)))) (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 t) 2))))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 t))
(*.f64 (pow.f64 (sqrt.f64 t) 1/3) (pow.f64 (sqrt.f64 t) 1/3))
(pow.f64 t 1/3)
(pow.f64 (cbrt.f64 t) 1)
(pow.f64 (pow.f64 (cbrt.f64 t) 2) 1/2)
(pow.f64 (pow.f64 t 1/6) 2)
(pow.f64 (cbrt.f64 (cbrt.f64 t)) 3)
(sqrt.f64 (pow.f64 (cbrt.f64 t) 2))
(fabs.f64 (cbrt.f64 t))
(log.f64 (exp.f64 (cbrt.f64 t)))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 t))))
(expm1.f64 (log1p.f64 (cbrt.f64 t)))
(exp.f64 (log.f64 (cbrt.f64 t)))
(exp.f64 (*.f64 (log.f64 t) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 t)) 1))
(log1p.f64 (expm1.f64 (cbrt.f64 t)))
Outputs
(*.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) (pow.f64 (/.f64 1 (pow.f64 t 2)) 1/3))
(*.f64 (expm1.f64 z) (*.f64 y (cbrt.f64 (/.f64 1 (*.f64 t t)))))
(+.f64 (*.f64 -1/2 (*.f64 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (pow.f64 y 2)) (pow.f64 (/.f64 1 (pow.f64 t 2)) 1/3))) (*.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) (pow.f64 (/.f64 1 (pow.f64 t 2)) 1/3)))
(fma.f64 -1/2 (*.f64 (cbrt.f64 (/.f64 1 (*.f64 t t))) (*.f64 (pow.f64 (expm1.f64 z) 2) (*.f64 y y))) (*.f64 (expm1.f64 z) (*.f64 y (cbrt.f64 (/.f64 1 (*.f64 t t))))))
(*.f64 (cbrt.f64 (/.f64 1 (*.f64 t t))) (+.f64 (*.f64 (expm1.f64 z) y) (*.f64 (*.f64 -1/2 (*.f64 y y)) (pow.f64 (expm1.f64 z) 2))))
(*.f64 (cbrt.f64 (/.f64 1 (*.f64 t t))) (+.f64 (*.f64 (expm1.f64 z) y) (*.f64 -1/2 (*.f64 (pow.f64 (expm1.f64 z) 2) (*.f64 y y)))))
(+.f64 (*.f64 -1/2 (*.f64 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (pow.f64 y 2)) (pow.f64 (/.f64 1 (pow.f64 t 2)) 1/3))) (+.f64 (*.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) (pow.f64 (/.f64 1 (pow.f64 t 2)) 1/3)) (*.f64 1/3 (*.f64 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 3) (pow.f64 y 3)) (pow.f64 (/.f64 1 (pow.f64 t 2)) 1/3)))))
(fma.f64 -1/2 (*.f64 (cbrt.f64 (/.f64 1 (*.f64 t t))) (*.f64 (pow.f64 (expm1.f64 z) 2) (*.f64 y y))) (fma.f64 (*.f64 (expm1.f64 z) y) (cbrt.f64 (/.f64 1 (*.f64 t t))) (*.f64 (*.f64 1/3 (*.f64 (pow.f64 (expm1.f64 z) 3) (pow.f64 y 3))) (cbrt.f64 (/.f64 1 (*.f64 t t))))))
(fma.f64 -1/2 (*.f64 (cbrt.f64 (/.f64 1 (*.f64 t t))) (*.f64 y (*.f64 y (pow.f64 (expm1.f64 z) 2)))) (*.f64 (cbrt.f64 (/.f64 1 (*.f64 t t))) (+.f64 (*.f64 (expm1.f64 z) y) (*.f64 (*.f64 1/3 (pow.f64 y 3)) (pow.f64 (expm1.f64 z) 3)))))
(fma.f64 -1/2 (*.f64 (cbrt.f64 (/.f64 1 (*.f64 t t))) (*.f64 (pow.f64 (expm1.f64 z) 2) (*.f64 y y))) (*.f64 (cbrt.f64 (/.f64 1 (*.f64 t t))) (+.f64 (*.f64 (expm1.f64 z) y) (*.f64 1/3 (*.f64 (pow.f64 (expm1.f64 z) 3) (pow.f64 y 3))))))
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(fma.f64 -1/4 (*.f64 (cbrt.f64 (/.f64 1 (*.f64 t t))) (*.f64 (pow.f64 (expm1.f64 z) 4) (pow.f64 y 4))) (fma.f64 -1/2 (*.f64 (cbrt.f64 (/.f64 1 (*.f64 t t))) (*.f64 (pow.f64 (expm1.f64 z) 2) (*.f64 y y))) (fma.f64 (*.f64 (expm1.f64 z) y) (cbrt.f64 (/.f64 1 (*.f64 t t))) (*.f64 (*.f64 1/3 (*.f64 (pow.f64 (expm1.f64 z) 3) (pow.f64 y 3))) (cbrt.f64 (/.f64 1 (*.f64 t t)))))))
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(fabs.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))
(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 (/.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)
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 t) 2))) 1)
(pow.f64 (cbrt.f64 t) 2)
(*.f64 (cbrt.f64 t) (cbrt.f64 t))
(pow.f64 (cbrt.f64 t) 2)
(*.f64 (pow.f64 (cbrt.f64 t) 2) 1)
(pow.f64 (cbrt.f64 t) 2)
(*.f64 1 (pow.f64 (cbrt.f64 t) 2))
(pow.f64 (cbrt.f64 t) 2)
(*.f64 (sqrt.f64 t) (pow.f64 t 1/6))
(*.f64 (pow.f64 t 1/6) (sqrt.f64 t))
(*.f64 (pow.f64 t 1/6) (*.f64 (pow.f64 t 1/6) (cbrt.f64 t)))
(pow.f64 (cbrt.f64 t) 2)
(*.f64 (cbrt.f64 (*.f64 t (cbrt.f64 t))) (cbrt.f64 (pow.f64 (cbrt.f64 t) 2)))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 t) 2)) (cbrt.f64 (*.f64 t (cbrt.f64 t))))
(*.f64 (cbrt.f64 (*.f64 t (cbrt.f64 t))) (cbrt.f64 (pow.f64 (cbrt.f64 t) 2)))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 t) 2)) (*.f64 (cbrt.f64 (cbrt.f64 t)) (cbrt.f64 t)))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 t) 2)) (*.f64 (cbrt.f64 t) (cbrt.f64 (cbrt.f64 t))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 t) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 t)) 4))
(*.f64 (*.f64 (cbrt.f64 t) (cbrt.f64 (pow.f64 (cbrt.f64 t) 2))) (cbrt.f64 (cbrt.f64 t)))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 t) 2)) (*.f64 (cbrt.f64 t) (cbrt.f64 (cbrt.f64 t))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 t) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 t)) 4))
(sqrt.f64 (*.f64 t (cbrt.f64 t)))
(log.f64 (exp.f64 (pow.f64 (cbrt.f64 t) 2)))
(pow.f64 (cbrt.f64 t) 2)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cbrt.f64 t) 2))))
(pow.f64 (cbrt.f64 t) 2)
(cbrt.f64 (*.f64 t t))
(expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 t) 2)))
(pow.f64 (cbrt.f64 t) 2)
(exp.f64 (*.f64 2 (log.f64 (cbrt.f64 t))))
(pow.f64 (cbrt.f64 t) 2)
(exp.f64 (*.f64 (*.f64 2 (log.f64 (cbrt.f64 t))) 1))
(pow.f64 (cbrt.f64 t) 2)
(log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 t) 2)))
(pow.f64 (cbrt.f64 t) 2)
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 t))) 1)
(cbrt.f64 t)
(*.f64 (cbrt.f64 t) 1)
(cbrt.f64 t)
(*.f64 1 (cbrt.f64 t))
(cbrt.f64 t)
(*.f64 (pow.f64 t 1/6) (pow.f64 t 1/6))
(cbrt.f64 t)
(*.f64 (cbrt.f64 (cbrt.f64 t)) (cbrt.f64 (pow.f64 (cbrt.f64 t) 2)))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 t) 2)) (cbrt.f64 (cbrt.f64 t)))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 t) 2)) (cbrt.f64 (cbrt.f64 t)))
(*.f64 (sqrt.f64 (cbrt.f64 (*.f64 t (cbrt.f64 t)))) (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 t) 2))))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 t))
(cbrt.f64 t)
(*.f64 (pow.f64 (sqrt.f64 t) 1/3) (pow.f64 (sqrt.f64 t) 1/3))
(*.f64 (cbrt.f64 (sqrt.f64 t)) (cbrt.f64 (sqrt.f64 t)))
(pow.f64 t 1/3)
(cbrt.f64 t)
(pow.f64 (cbrt.f64 t) 1)
(cbrt.f64 t)
(pow.f64 (pow.f64 (cbrt.f64 t) 2) 1/2)
(cbrt.f64 t)
(pow.f64 (pow.f64 t 1/6) 2)
(cbrt.f64 t)
(pow.f64 (cbrt.f64 (cbrt.f64 t)) 3)
(cbrt.f64 t)
(sqrt.f64 (pow.f64 (cbrt.f64 t) 2))
(cbrt.f64 t)
(fabs.f64 (cbrt.f64 t))
(cbrt.f64 t)
(log.f64 (exp.f64 (cbrt.f64 t)))
(cbrt.f64 t)
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 t))))
(cbrt.f64 t)
(expm1.f64 (log1p.f64 (cbrt.f64 t)))
(cbrt.f64 t)
(exp.f64 (log.f64 (cbrt.f64 t)))
(cbrt.f64 t)
(exp.f64 (*.f64 (log.f64 t) 1/3))
(cbrt.f64 t)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 t)) 1))
(cbrt.f64 t)
(log1p.f64 (expm1.f64 (cbrt.f64 t)))
(cbrt.f64 t)

localize29.0ms (0.2%)

Local error

Found 1 expressions with local error:

NewErrorProgram
3.1b
(-.f64 (+.f64 1 x) 1)
Compiler

Compiled 14 to 11 computations (21.4% saved)

series0.0ms (0%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
0.0ms
x
@inf
(-.f64 (+.f64 1 x) 1)
0.0ms
x
@0
(-.f64 (+.f64 1 x) 1)
0.0ms
x
@-inf
(-.f64 (+.f64 1 x) 1)

rewrite55.0ms (0.3%)

Algorithm
batch-egg-rewrite
Rules
1320×add-sqr-sqrt
1304×*-un-lft-identity
1228×add-cube-cbrt
1220×add-cbrt-cube
1212×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0613
11351
218821
Stop Event
node limit
Counts
1 → 37
Calls
Call 1
Inputs
(-.f64 (+.f64 1 x) 1)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (+.f64 x -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 x 2) x) (/.f64 1 (+.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (+.f64 1 x) 3) -1) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 x) 2) (+.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) 1) (-.f64 (sqrt.f64 (+.f64 1 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 x 2) (*.f64 (+.f64 x 2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 1 x) 2) (+.f64 x 2)) (+.f64 (pow.f64 (+.f64 1 x) 3) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 x 2) x) (+.f64 x 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 x 2) x) (-.f64 (+.f64 1 x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 1 x) 3) -1) (+.f64 (pow.f64 (+.f64 1 x) 2) (+.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 1 x) 3) -1) (+.f64 (pow.f64 (+.f64 1 x) 2) (-.f64 1 (*.f64 (+.f64 1 x) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (*.f64 (+.f64 x -1) (+.f64 x -1))) (-.f64 1 (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (+.f64 x -1) 3)) (+.f64 1 (-.f64 (*.f64 (+.f64 x -1) (+.f64 x -1)) (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (+.f64 x 2) x)) (neg.f64 (+.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 x) 3) -1)) (neg.f64 (+.f64 (pow.f64 (+.f64 1 x) 2) (+.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 x 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 x) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x . x)))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 1 x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) (cbrt.f64 (+.f64 1 x)) -1)))))

simplify45.0ms (0.2%)

Algorithm
egg-herbie
Rules
1410×distribute-lft-in
1220×fma-def
1198×distribute-rgt-in
640×associate-+r+
542×associate-/r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
090421
1228379
21277363
Stop Event
node limit
Counts
49 → 45
Calls
Call 1
Inputs
x
x
x
x
x
x
x
x
x
x
x
x
(+.f64 1 (+.f64 x -1))
(+.f64 1 (*.f64 (+.f64 x -1) 1))
(+.f64 x 0)
(+.f64 (+.f64 1 x) -1)
(+.f64 (+.f64 x -1) 1)
(+.f64 -1 (+.f64 1 x))
(*.f64 1 x)
(*.f64 x 1)
(*.f64 (sqrt.f64 x) (sqrt.f64 x))
(*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x))
(*.f64 (*.f64 (+.f64 x 2) x) (/.f64 1 (+.f64 x 2)))
(*.f64 (+.f64 (pow.f64 (+.f64 1 x) 3) -1) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 x) 2) (+.f64 x 2))))
(*.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) 1) (-.f64 (sqrt.f64 (+.f64 1 x)) 1))
(/.f64 1 (/.f64 (+.f64 x 2) (*.f64 (+.f64 x 2) x)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 1 x) 2) (+.f64 x 2)) (+.f64 (pow.f64 (+.f64 1 x) 3) -1)))
(/.f64 (*.f64 (+.f64 x 2) x) (+.f64 x 2))
(/.f64 (*.f64 (+.f64 x 2) x) (-.f64 (+.f64 1 x) -1))
(/.f64 (+.f64 (pow.f64 (+.f64 1 x) 3) -1) (+.f64 (pow.f64 (+.f64 1 x) 2) (+.f64 x 2)))
(/.f64 (+.f64 (pow.f64 (+.f64 1 x) 3) -1) (+.f64 (pow.f64 (+.f64 1 x) 2) (-.f64 1 (*.f64 (+.f64 1 x) -1))))
(/.f64 (-.f64 1 (*.f64 (+.f64 x -1) (+.f64 x -1))) (-.f64 1 (+.f64 x -1)))
(/.f64 (+.f64 1 (pow.f64 (+.f64 x -1) 3)) (+.f64 1 (-.f64 (*.f64 (+.f64 x -1) (+.f64 x -1)) (+.f64 x -1))))
(/.f64 (neg.f64 (*.f64 (+.f64 x 2) x)) (neg.f64 (+.f64 x 2)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 x) 3) -1)) (neg.f64 (+.f64 (pow.f64 (+.f64 1 x) 2) (+.f64 x 2))))
(pow.f64 x 1)
(pow.f64 (sqrt.f64 x) 2)
(pow.f64 (cbrt.f64 x) 3)
(pow.f64 (pow.f64 x 3) 1/3)
(sqrt.f64 (*.f64 x x))
(log.f64 (exp.f64 x))
(cbrt.f64 (pow.f64 x 3))
(expm1.f64 (log1p.f64 x))
(exp.f64 (log.f64 x))
(log1p.f64 (expm1.f64 x))
(fma.f64 1 (+.f64 1 x) -1)
(fma.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 x)) -1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) (cbrt.f64 (+.f64 1 x)) -1)
Outputs
x
x
x
x
x
x
x
x
x
x
x
x
(+.f64 1 (+.f64 x -1))
x
(+.f64 1 (*.f64 (+.f64 x -1) 1))
x
(+.f64 x 0)
x
(+.f64 (+.f64 1 x) -1)
x
(+.f64 (+.f64 x -1) 1)
x
(+.f64 -1 (+.f64 1 x))
x
(*.f64 1 x)
x
(*.f64 x 1)
x
(*.f64 (sqrt.f64 x) (sqrt.f64 x))
x
(*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2))
x
(*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x))
x
(*.f64 (*.f64 (+.f64 x 2) x) (/.f64 1 (+.f64 x 2)))
x
(*.f64 (+.f64 (pow.f64 (+.f64 1 x) 3) -1) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 x) 2) (+.f64 x 2))))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3)) (/.f64 1 (+.f64 (+.f64 x 2) (pow.f64 (+.f64 x 1) 2))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3)) (+.f64 (+.f64 x 2) (pow.f64 (+.f64 x 1) 2)))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3)) (+.f64 (*.f64 x (+.f64 x 2)) (+.f64 x 3)))
(*.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) 1) (-.f64 (sqrt.f64 (+.f64 1 x)) 1))
x
(/.f64 1 (/.f64 (+.f64 x 2) (*.f64 (+.f64 x 2) x)))
x
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 1 x) 2) (+.f64 x 2)) (+.f64 (pow.f64 (+.f64 1 x) 3) -1)))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3)) (/.f64 1 (+.f64 (+.f64 x 2) (pow.f64 (+.f64 x 1) 2))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3)) (+.f64 (+.f64 x 2) (pow.f64 (+.f64 x 1) 2)))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3)) (+.f64 (*.f64 x (+.f64 x 2)) (+.f64 x 3)))
(/.f64 (*.f64 (+.f64 x 2) x) (+.f64 x 2))
x
(/.f64 (*.f64 (+.f64 x 2) x) (-.f64 (+.f64 1 x) -1))
x
(/.f64 (+.f64 (pow.f64 (+.f64 1 x) 3) -1) (+.f64 (pow.f64 (+.f64 1 x) 2) (+.f64 x 2)))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3)) (/.f64 1 (+.f64 (+.f64 x 2) (pow.f64 (+.f64 x 1) 2))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3)) (+.f64 (+.f64 x 2) (pow.f64 (+.f64 x 1) 2)))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3)) (+.f64 (*.f64 x (+.f64 x 2)) (+.f64 x 3)))
(/.f64 (+.f64 (pow.f64 (+.f64 1 x) 3) -1) (+.f64 (pow.f64 (+.f64 1 x) 2) (-.f64 1 (*.f64 (+.f64 1 x) -1))))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3)) (/.f64 1 (+.f64 (+.f64 x 2) (pow.f64 (+.f64 x 1) 2))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3)) (+.f64 (+.f64 x 2) (pow.f64 (+.f64 x 1) 2)))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3)) (+.f64 (*.f64 x (+.f64 x 2)) (+.f64 x 3)))
(/.f64 (-.f64 1 (*.f64 (+.f64 x -1) (+.f64 x -1))) (-.f64 1 (+.f64 x -1)))
(/.f64 (+.f64 1 (*.f64 (+.f64 x -1) (-.f64 1 x))) (-.f64 2 x))
(/.f64 (+.f64 x (*.f64 x (-.f64 1 x))) (-.f64 2 x))
(/.f64 (+.f64 1 (pow.f64 (+.f64 x -1) 3)) (+.f64 1 (-.f64 (*.f64 (+.f64 x -1) (+.f64 x -1)) (+.f64 x -1))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 x -1) 3)) (+.f64 (*.f64 (+.f64 x -1) (+.f64 x -1)) (-.f64 2 x)))
(/.f64 (+.f64 1 (pow.f64 (+.f64 x -1) 3)) (fma.f64 (+.f64 x -1) (+.f64 x -2) 1))
(/.f64 (neg.f64 (*.f64 (+.f64 x 2) x)) (neg.f64 (+.f64 x 2)))
x
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 x) 3) -1)) (neg.f64 (+.f64 (pow.f64 (+.f64 1 x) 2) (+.f64 x 2))))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3)) (/.f64 1 (+.f64 (+.f64 x 2) (pow.f64 (+.f64 x 1) 2))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3)) (+.f64 (+.f64 x 2) (pow.f64 (+.f64 x 1) 2)))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3)) (+.f64 (*.f64 x (+.f64 x 2)) (+.f64 x 3)))
(pow.f64 x 1)
x
(pow.f64 (sqrt.f64 x) 2)
x
(pow.f64 (cbrt.f64 x) 3)
x
(pow.f64 (pow.f64 x 3) 1/3)
x
(sqrt.f64 (*.f64 x x))
x
(log.f64 (exp.f64 x))
x
(cbrt.f64 (pow.f64 x 3))
x
(expm1.f64 (log1p.f64 x))
x
(exp.f64 (log.f64 x))
x
(log1p.f64 (expm1.f64 x))
x
(fma.f64 1 (+.f64 1 x) -1)
x
(fma.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 x)) -1)
x
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) (cbrt.f64 (+.f64 1 x)) -1)
x

localize11.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(-.f64 x (*.f64 (/.f64 1 t) (*.f64 z y)))
5.6b
(*.f64 (/.f64 1 t) (*.f64 z y))
Compiler

Compiled 31 to 15 computations (51.6% saved)

series3.0ms (0%)

Counts
2 → 84
Calls

21 calls:

TimeVariablePointExpression
1.0ms
x
@inf
(-.f64 x (*.f64 (/.f64 1 t) (*.f64 z y)))
0.0ms
t
@0
(*.f64 (/.f64 1 t) (*.f64 z y))
0.0ms
y
@-inf
(*.f64 (/.f64 1 t) (*.f64 z y))
0.0ms
y
@-inf
(-.f64 x (*.f64 (/.f64 1 t) (*.f64 z y)))
0.0ms
x
@0
(-.f64 x (*.f64 (/.f64 1 t) (*.f64 z y)))

rewrite110.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
1338×associate-*r/
1026×associate-*l/
718×associate-/l*
680×associate-/r*
542×distribute-rgt-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01132
123332
2311032
Stop Event
node limit
Counts
2 → 282
Calls
Call 1
Inputs
(*.f64 (/.f64 1 t) (*.f64 z y))
(-.f64 x (*.f64 (/.f64 1 t) (*.f64 z y)))
Outputs
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simplify130.0ms (0.7%)

Algorithm
egg-herbie
Rules
1468×associate-/l*
726×associate-/l/
722×associate-*r*
612×associate-+l+
590×associate-*l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
069416130
1181814528
Stop Event
node limit
Counts
366 → 428
Calls
Call 1
Inputs
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(*.f64 -1 (/.f64 (*.f64 y z) t))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
x
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
x
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(*.f64 -1 (/.f64 (*.f64 y z) t))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
x
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
x
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
x
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(*.f64 -1 (/.f64 (*.f64 y z) t))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(*.f64 -1 (/.f64 (*.f64 y z) t))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
x
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(*.f64 -1 (/.f64 (*.f64 y z) t))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(*.f64 -1 (/.f64 (*.f64 y z) t))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (/.f64 z t)))) 1)
(/.f64 1 (/.f64 t (*.f64 z y)))
(/.f64 z (/.f64 t y))
(/.f64 y (/.f64 t z))
(/.f64 (*.f64 z y) t)
(/.f64 (*.f64 z y) (neg.f64 (neg.f64 t)))
(/.f64 (*.f64 y (/.f64 z t)) 1)
(/.f64 (sqrt.f64 (*.f64 z y)) (/.f64 t (sqrt.f64 (*.f64 z y))))
(/.f64 (sqrt.f64 z) (/.f64 (/.f64 t y) (sqrt.f64 z)))
(/.f64 (sqrt.f64 z) (/.f64 t (*.f64 (sqrt.f64 z) y)))
(/.f64 (sqrt.f64 z) (/.f64 (/.f64 t (sqrt.f64 (*.f64 z y))) (sqrt.f64 y)))
(/.f64 (sqrt.f64 y) (/.f64 (/.f64 t z) (sqrt.f64 y)))
(/.f64 (sqrt.f64 y) (/.f64 t (*.f64 (sqrt.f64 y) z)))
(/.f64 (sqrt.f64 y) (/.f64 (/.f64 t (sqrt.f64 (*.f64 z y))) (sqrt.f64 z)))
(/.f64 (cbrt.f64 (*.f64 z y)) (/.f64 t (pow.f64 (cbrt.f64 (*.f64 z y)) 2)))
(/.f64 (cbrt.f64 (*.f64 z y)) (/.f64 (/.f64 t (sqrt.f64 (*.f64 z y))) (cbrt.f64 (sqrt.f64 (*.f64 z y)))))
(/.f64 (cbrt.f64 (*.f64 z y)) (/.f64 (/.f64 t (cbrt.f64 (*.f64 z y))) (cbrt.f64 (*.f64 z y))))
(/.f64 (pow.f64 (cbrt.f64 (*.f64 z y)) 2) (/.f64 t (cbrt.f64 (*.f64 z y))))
(/.f64 (cbrt.f64 z) (/.f64 (/.f64 t y) (pow.f64 (cbrt.f64 z) 2)))
(/.f64 (pow.f64 (cbrt.f64 z) 2) (/.f64 (/.f64 t y) (cbrt.f64 z)))
(/.f64 (pow.f64 (cbrt.f64 z) 2) (/.f64 t (*.f64 (cbrt.f64 z) y)))
(/.f64 (cbrt.f64 y) (/.f64 (/.f64 t z) (pow.f64 (cbrt.f64 y) 2)))
(/.f64 (pow.f64 (cbrt.f64 y) 2) (/.f64 (/.f64 t z) (cbrt.f64 y)))
(/.f64 (pow.f64 (cbrt.f64 y) 2) (/.f64 t (*.f64 (cbrt.f64 y) z)))
(/.f64 -1 (/.f64 (neg.f64 t) (*.f64 z y)))
(/.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 z y)) 2)) (/.f64 (/.f64 t (sqrt.f64 (*.f64 z y))) (sqrt.f64 (cbrt.f64 (*.f64 z y)))))
(/.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 z y)) 2)) (/.f64 (/.f64 t (cbrt.f64 (*.f64 z y))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 z y)) 2))))
(/.f64 (sqrt.f64 (sqrt.f64 (*.f64 z y))) (/.f64 (/.f64 t (sqrt.f64 (*.f64 z y))) (sqrt.f64 (sqrt.f64 (*.f64 z y)))))
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 z y)) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 z y)) 2))) (/.f64 (/.f64 t (cbrt.f64 (*.f64 z y))) (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 z y)) 2))))
(/.f64 (*.f64 z (sqrt.f64 y)) (/.f64 t (sqrt.f64 y)))
(/.f64 (*.f64 z (pow.f64 (cbrt.f64 y) 2)) (/.f64 t (cbrt.f64 y)))
(/.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 (*.f64 z y) (cbrt.f64 (pow.f64 t -2))) (cbrt.f64 t))
(/.f64 (*.f64 (*.f64 z y) -1) (neg.f64 t))
(/.f64 (*.f64 -1 (*.f64 z y)) (neg.f64 t))
(/.f64 (/.f64 z (/.f64 1 y)) t)
(/.f64 (/.f64 y (/.f64 (sqrt.f64 t) z)) (sqrt.f64 t))
(/.f64 (/.f64 y (/.f64 (pow.f64 (cbrt.f64 t) 2) z)) (cbrt.f64 t))
(/.f64 (neg.f64 (*.f64 z y)) (neg.f64 t))
(/.f64 (/.f64 (*.f64 z y) (cbrt.f64 t)) (pow.f64 (cbrt.f64 t) 2))
(/.f64 (*.f64 1 (*.f64 (*.f64 z y) -1)) (neg.f64 t))
(/.f64 (*.f64 1 (*.f64 -1 (*.f64 z y))) (neg.f64 t))
(/.f64 (*.f64 1 (/.f64 z (/.f64 1 y))) t)
(/.f64 (*.f64 1 (/.f64 y (/.f64 (sqrt.f64 t) z))) (sqrt.f64 t))
(/.f64 (*.f64 1 (/.f64 y (/.f64 (pow.f64 (cbrt.f64 t) 2) z))) (cbrt.f64 t))
(/.f64 (*.f64 1 (neg.f64 (*.f64 z y))) (neg.f64 t))
(/.f64 (*.f64 y (*.f64 -1 z)) (neg.f64 t))
(/.f64 (*.f64 (sqrt.f64 (*.f64 y (/.f64 z t))) (sqrt.f64 (*.f64 z y))) (sqrt.f64 t))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 y (/.f64 z t))) 2) (cbrt.f64 (*.f64 z y))) (cbrt.f64 t))
(/.f64 (*.f64 (/.f64 y (/.f64 (sqrt.f64 t) z)) (sqrt.f64 -1)) (sqrt.f64 (neg.f64 t)))
(/.f64 (*.f64 (*.f64 (*.f64 z y) (cbrt.f64 (pow.f64 t -2))) 1) (cbrt.f64 t))
(/.f64 (*.f64 (*.f64 (*.f64 z y) (cbrt.f64 (pow.f64 t -2))) -1) (cbrt.f64 (neg.f64 t)))
(/.f64 (*.f64 (cbrt.f64 (pow.f64 t -2)) (*.f64 z y)) (cbrt.f64 t))
(/.f64 (*.f64 (/.f64 z 1) y) t)
(/.f64 (*.f64 (/.f64 z (sqrt.f64 t)) y) (sqrt.f64 t))
(/.f64 (*.f64 (/.f64 y (sqrt.f64 t)) z) (sqrt.f64 t))
(/.f64 (*.f64 (/.f64 z (pow.f64 (cbrt.f64 t) 2)) y) (cbrt.f64 t))
(/.f64 (*.f64 (/.f64 y 1) z) t)
(/.f64 (*.f64 (/.f64 y 1) (*.f64 -1 z)) (neg.f64 t))
(/.f64 (*.f64 (/.f64 y (pow.f64 (cbrt.f64 t) 2)) z) (cbrt.f64 t))
(/.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 z y)) 1) (sqrt.f64 (*.f64 z y))) t)
(/.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 z y)) (pow.f64 (cbrt.f64 t) 2)) (sqrt.f64 (*.f64 z y))) (cbrt.f64 t))
(/.f64 (*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 z y)) 2) 1) (cbrt.f64 (*.f64 z y))) t)
(/.f64 (*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 z y)) 2) (sqrt.f64 t)) (cbrt.f64 (*.f64 z y))) (sqrt.f64 t))
(/.f64 (*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 z y)) 2) (pow.f64 (cbrt.f64 t) 2)) (cbrt.f64 (*.f64 z y))) (cbrt.f64 t))
(/.f64 (*.f64 (sqrt.f64 (*.f64 z y)) 1) (/.f64 t (sqrt.f64 (*.f64 z y))))
(/.f64 (*.f64 (neg.f64 (*.f64 z y)) 1) (neg.f64 t))
(/.f64 (*.f64 (sqrt.f64 (*.f64 z y)) (sqrt.f64 (*.f64 y (/.f64 z t)))) (sqrt.f64 t))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 z y)) 2) 1) (/.f64 t (cbrt.f64 (*.f64 z y))))
(/.f64 (*.f64 (*.f64 (*.f64 z y) -1) 1) (neg.f64 t))
(/.f64 (*.f64 (*.f64 -1 (*.f64 z y)) 1) (neg.f64 t))
(/.f64 (*.f64 (/.f64 z (/.f64 1 y)) 1) t)
(/.f64 (*.f64 (/.f64 y (/.f64 (sqrt.f64 t) z)) 1) (sqrt.f64 t))
(/.f64 (*.f64 (/.f64 y (/.f64 (pow.f64 (cbrt.f64 t) 2) z)) 1) (cbrt.f64 t))
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(*.f64 (sqrt.f64 (-.f64 x (*.f64 y (/.f64 z t)))) (sqrt.f64 (-.f64 x (*.f64 y (/.f64 z t)))))
(*.f64 (cbrt.f64 (-.f64 x (*.f64 y (/.f64 z t)))) (pow.f64 (cbrt.f64 (-.f64 x (*.f64 y (/.f64 z t)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 x (*.f64 y (/.f64 z t)))) 2) (cbrt.f64 (-.f64 x (*.f64 y (/.f64 z t)))))
(*.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 y (/.f64 z t)) 2)) (/.f64 1 (+.f64 (*.f64 y (/.f64 z t)) x)))
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(*.f64 (+.f64 (sqrt.f64 (*.f64 y (/.f64 z t))) (sqrt.f64 x)) (-.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 y (/.f64 z t)))))
(*.f64 (/.f64 1 (+.f64 (*.f64 y (/.f64 z t)) x)) (-.f64 (*.f64 x x) (pow.f64 (*.f64 y (/.f64 z t)) 2)))
(*.f64 (/.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 (-.f64 (*.f64 x x) (pow.f64 (*.f64 y (/.f64 z t)) 2)) (-.f64 (*.f64 x x) (pow.f64 (*.f64 y (/.f64 z t)) 2))) (-.f64 x (*.f64 y (/.f64 z t))))
(*.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 y (/.f64 z t)) 2)) (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 y (/.f64 z t)) 3))) (+.f64 (*.f64 x x) (-.f64 (pow.f64 (*.f64 y (/.f64 z t)) 2) (*.f64 (*.f64 y (/.f64 z t)) x))))
(*.f64 (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 y (/.f64 z t)) 3)) (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 (*.f64 y (/.f64 z t)) (+.f64 (*.f64 y (/.f64 z t)) x)) (*.f64 (*.f64 y (/.f64 z t)) (+.f64 (*.f64 y (/.f64 z t)) x))))) (-.f64 (*.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)) (+.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (*.f64 (*.f64 y (/.f64 z t)) (+.f64 (*.f64 y (/.f64 z t)) x)) 3))) (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (-.f64 (*.f64 (*.f64 (*.f64 y (/.f64 z t)) (+.f64 (*.f64 y (/.f64 z t)) x)) (*.f64 (*.f64 y (/.f64 z t)) (+.f64 (*.f64 y (/.f64 z t)) x))) (*.f64 (*.f64 x x) (*.f64 (*.f64 y (/.f64 z t)) (+.f64 (*.f64 y (/.f64 z t)) x))))))
(/.f64 1 (/.f64 1 (-.f64 x (*.f64 y (/.f64 z t)))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 y (/.f64 z t)) 2)) (+.f64 (*.f64 y (/.f64 z t)) x))
(/.f64 (+.f64 (*.f64 y (/.f64 z t)) x) (/.f64 (+.f64 (*.f64 y (/.f64 z t)) x) (-.f64 x (*.f64 y (/.f64 z t)))))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 y (/.f64 z t)) 3)) (fma.f64 x x (*.f64 (*.f64 y (/.f64 z t)) (+.f64 (*.f64 y (/.f64 z t)) x))))
(/.f64 (fma.f64 x x (*.f64 (*.f64 y (/.f64 z t)) (+.f64 (*.f64 y (/.f64 z t)) x))) (/.f64 (fma.f64 x x (*.f64 (*.f64 y (/.f64 z t)) (+.f64 (*.f64 y (/.f64 z t)) x))) (-.f64 x (*.f64 y (/.f64 z t)))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 y (/.f64 z t)) 3))) (/.f64 (fma.f64 x x (*.f64 (*.f64 y (/.f64 z t)) (+.f64 (*.f64 y (/.f64 z t)) x))) (sqrt.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 y (/.f64 z t)) 3)))))
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(/.f64 (*.f64 (cbrt.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 y (/.f64 z t)) 2))) (cbrt.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 y (/.f64 z t)) 2)))) (/.f64 (+.f64 (*.f64 y (/.f64 z t)) x) (cbrt.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 y (/.f64 z t)) 2)))))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (/.f64 z t) (neg.f64 y)) (*.f64 (/.f64 z t) (neg.f64 y)))) (-.f64 x (*.f64 (/.f64 z t) (neg.f64 y))))
(/.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 (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 (*.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 (+.f64 (*.f64 y (/.f64 z t)) x) (+.f64 (pow.f64 (*.f64 y (/.f64 z t)) 2) (*.f64 x x))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 (/.f64 z t) (neg.f64 y)) 3)) (-.f64 (+.f64 (*.f64 x x) (*.f64 (*.f64 (/.f64 z t) (neg.f64 y)) (*.f64 (/.f64 z t) (neg.f64 y)))) (*.f64 x (*.f64 (/.f64 z t) (neg.f64 y)))))
(/.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 (*.f64 y (/.f64 z t)) (+.f64 (*.f64 y (/.f64 z t)) x))) (+.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 (pow.f64 x 3) (pow.f64 (*.f64 y (/.f64 z t)) 3)))))
(/.f64 (-.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (pow.f64 (*.f64 y (/.f64 z t)) 2) 3)) (*.f64 (+.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 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 y (/.f64 z t)) 2))) (neg.f64 (+.f64 (*.f64 y (/.f64 z t)) x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 y (/.f64 z t)) 3))) (neg.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)) 1) (fma.f64 x x (*.f64 (*.f64 y (/.f64 z t)) (+.f64 (*.f64 y (/.f64 z t)) x))))
(/.f64 (*.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 y (/.f64 z t)) 2)) 1) (+.f64 (*.f64 y (/.f64 z t)) x))
(/.f64 (*.f64 1 (-.f64 (*.f64 x x) (*.f64 (*.f64 (/.f64 z t) (neg.f64 y)) (*.f64 (/.f64 z t) (neg.f64 y))))) (-.f64 x (*.f64 (/.f64 z t) (neg.f64 y))))
(/.f64 (*.f64 1 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 (/.f64 z t) (neg.f64 y)) 3))) (-.f64 (+.f64 (*.f64 x x) (*.f64 (*.f64 (/.f64 z t) (neg.f64 y)) (*.f64 (/.f64 z t) (neg.f64 y)))) (*.f64 x (*.f64 (/.f64 z t) (neg.f64 y)))))
(/.f64 (*.f64 1 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 y (/.f64 z t)) 2)))) (neg.f64 (+.f64 (*.f64 y (/.f64 z t)) x)))
(/.f64 (*.f64 1 (neg.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 y (/.f64 z t)) 3)))) (neg.f64 (fma.f64 x x (*.f64 (*.f64 y (/.f64 z t)) (+.f64 (*.f64 y (/.f64 z t)) x)))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 x (*.f64 y (/.f64 z t)))) (sqrt.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)))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 x (*.f64 y (/.f64 z t)))) (sqrt.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 y (/.f64 z t)) 2)))) (sqrt.f64 (+.f64 (*.f64 y (/.f64 z t)) x)))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (-.f64 x (*.f64 y (/.f64 z t)))) 2) (cbrt.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 y (/.f64 z t)) 3)))) (cbrt.f64 (fma.f64 x x (*.f64 (*.f64 y (/.f64 z t)) (+.f64 (*.f64 y (/.f64 z t)) x)))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (-.f64 x (*.f64 y (/.f64 z t)))) 2) (cbrt.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 y (/.f64 z t)) 2)))) (cbrt.f64 (+.f64 (*.f64 y (/.f64 z t)) x)))
(/.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (/.f64 z t) (neg.f64 y)) (*.f64 (/.f64 z t) (neg.f64 y)))) 1) (-.f64 x (*.f64 (/.f64 z t) (neg.f64 y))))
(/.f64 (*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 (/.f64 z t) (neg.f64 y)) 3)) 1) (-.f64 (+.f64 (*.f64 x x) (*.f64 (*.f64 (/.f64 z t) (neg.f64 y)) (*.f64 (/.f64 z t) (neg.f64 y)))) (*.f64 x (*.f64 (/.f64 z t) (neg.f64 y)))))
(/.f64 (*.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 y (/.f64 z t)) 2))) 1) (neg.f64 (+.f64 (*.f64 y (/.f64 z t)) x)))
(/.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 y (/.f64 z t)) 3))) 1) (neg.f64 (fma.f64 x x (*.f64 (*.f64 y (/.f64 z t)) (+.f64 (*.f64 y (/.f64 z t)) x)))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 y (/.f64 z t)) 3))) (sqrt.f64 (-.f64 x (*.f64 y (/.f64 z t))))) (sqrt.f64 (fma.f64 x x (*.f64 (*.f64 y (/.f64 z t)) (+.f64 (*.f64 y (/.f64 z t)) x)))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 y (/.f64 z t)) 2))) (sqrt.f64 (-.f64 x (*.f64 y (/.f64 z t))))) (sqrt.f64 (+.f64 (*.f64 y (/.f64 z t)) x)))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 y (/.f64 z t)) 3))) (pow.f64 (cbrt.f64 (-.f64 x (*.f64 y (/.f64 z t)))) 2)) (cbrt.f64 (fma.f64 x x (*.f64 (*.f64 y (/.f64 z t)) (+.f64 (*.f64 y (/.f64 z t)) x)))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 y (/.f64 z t)) 2))) (pow.f64 (cbrt.f64 (-.f64 x (*.f64 y (/.f64 z t)))) 2)) (cbrt.f64 (+.f64 (*.f64 y (/.f64 z t)) x)))
(/.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 (pow.f64 (*.f64 y (/.f64 z t)) 2) (*.f64 x x)))
(/.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 (-.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 (-.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 (*.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 (pow.f64 x 3) (pow.f64 (*.f64 y (/.f64 z t)) 3))))
(/.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 y (/.f64 z t)) 2)) 1) (+.f64 (*.f64 y (/.f64 z t)) x))
(/.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 (*.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 (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 (-.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)) (*.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)))))
(pow.f64 (-.f64 x (*.f64 y (/.f64 z t))) 1)
(pow.f64 (sqrt.f64 (-.f64 x (*.f64 y (/.f64 z t)))) 2)
(pow.f64 (cbrt.f64 (-.f64 x (*.f64 y (/.f64 z t)))) 3)
(pow.f64 (pow.f64 (-.f64 x (*.f64 y (/.f64 z t))) 3) 1/3)
(sqrt.f64 (pow.f64 (-.f64 x (*.f64 y (/.f64 z t))) 2))
(log.f64 (exp.f64 (-.f64 x (*.f64 y (/.f64 z t)))))
(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)))))
(exp.f64 (*.f64 (log.f64 (-.f64 x (*.f64 y (/.f64 z t)))) 1))
(log1p.f64 (expm1.f64 (-.f64 x (*.f64 y (/.f64 z t)))))
(fma.f64 1 x (*.f64 (/.f64 z t) (neg.f64 y)))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (/.f64 z t) (neg.f64 y)))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 (/.f64 z t) (neg.f64 y)))
Outputs
(/.f64 (*.f64 y z) t)
(/.f64 z (/.f64 t y))
(*.f64 z (/.f64 y t))
(/.f64 (*.f64 y z) t)
(/.f64 z (/.f64 t y))
(*.f64 z (/.f64 y t))
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(/.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 z (/.f64 t y)) 2) 3)) (*.f64 (fma.f64 y (/.f64 z t) x) (+.f64 (*.f64 x (pow.f64 x 3)) (+.f64 (pow.f64 (/.f64 z (/.f64 t y)) 4) (*.f64 (pow.f64 (/.f64 z (/.f64 t y)) 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)) (+.f64 (*.f64 x (pow.f64 x 3)) (*.f64 (pow.f64 (*.f64 z (/.f64 y t)) 2) (fma.f64 x x (pow.f64 (*.f64 z (/.f64 y t)) 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 z (/.f64 t y)) 6)) (*.f64 (fma.f64 x x (*.f64 y (*.f64 (/.f64 z t) (fma.f64 y (/.f64 z t) x)))) (+.f64 (pow.f64 (/.f64 z (/.f64 t y)) 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 (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 (*.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 (pow.f64 x 3) (pow.f64 (*.f64 y (/.f64 z t)) 3))))
(/.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 x 3) 3) (pow.f64 (pow.f64 (/.f64 z (/.f64 t y)) 3) 3)) 1) (fma.f64 x x (*.f64 y (*.f64 (/.f64 z t) (fma.f64 y (/.f64 z t) x))))) (+.f64 (+.f64 (pow.f64 x 6) (pow.f64 (/.f64 z (/.f64 t y)) 6)) (*.f64 (pow.f64 (/.f64 z (/.f64 t y)) 3) (pow.f64 x 3))))
(/.f64 (/.f64 1 (fma.f64 x x (*.f64 (*.f64 z (/.f64 y t)) (fma.f64 y (/.f64 z t) x)))) (/.f64 (+.f64 (pow.f64 x 6) (+.f64 (pow.f64 (*.f64 z (/.f64 y t)) 6) (*.f64 (pow.f64 (*.f64 z (/.f64 y t)) 3) (pow.f64 x 3)))) (-.f64 (pow.f64 (pow.f64 x 3) 3) (pow.f64 (pow.f64 (*.f64 z (/.f64 y t)) 3) 3))))
(/.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 y (/.f64 z t)) 2)) 1) (+.f64 (*.f64 y (/.f64 z t)) x))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 z (/.f64 t y)) 2)) (fma.f64 y (/.f64 z t) x))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 z (/.f64 y t)) 2)) (fma.f64 y (/.f64 z t) x))
(/.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 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 x x) (pow.f64 (*.f64 z (/.f64 y t)) 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 (*.f64 x x) (pow.f64 (/.f64 z (/.f64 t y)) 2)) (*.f64 (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 (*.f64 x x) (pow.f64 (*.f64 z (/.f64 y t)) 2)) (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 (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 z (/.f64 t y)) 3)) (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 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 (*.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 (pow.f64 x 3) (pow.f64 (/.f64 z (/.f64 t y)) 3)) (*.f64 (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 y t)) 3)) (*.f64 (sqrt.f64 (fma.f64 x x (*.f64 (*.f64 z (/.f64 y t)) (fma.f64 y (/.f64 z t) x)))) (sqrt.f64 (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 (*.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 (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 z (/.f64 t y)) 3)) (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)))))) (cbrt.f64 (fma.f64 x x (*.f64 y (*.f64 (/.f64 z t) (fma.f64 y (/.f64 z t) x))))))
(/.f64 (/.f64 (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 z (/.f64 y t)) 3)) (cbrt.f64 (fma.f64 x x (*.f64 (*.f64 z (/.f64 y t)) (fma.f64 y (/.f64 z t) x))))) (cbrt.f64 (fma.f64 x x (*.f64 (*.f64 z (/.f64 y t)) (fma.f64 y (/.f64 z t) x))))) (cbrt.f64 (fma.f64 x x (*.f64 (*.f64 z (/.f64 y t)) (fma.f64 y (/.f64 z t) x)))))
(pow.f64 (-.f64 x (*.f64 y (/.f64 z t))) 1)
(-.f64 x (/.f64 z (/.f64 t y)))
(-.f64 x (*.f64 z (/.f64 y t)))
(pow.f64 (sqrt.f64 (-.f64 x (*.f64 y (/.f64 z t)))) 2)
(-.f64 x (/.f64 z (/.f64 t y)))
(-.f64 x (*.f64 z (/.f64 y t)))
(pow.f64 (cbrt.f64 (-.f64 x (*.f64 y (/.f64 z t)))) 3)
(-.f64 x (/.f64 z (/.f64 t y)))
(-.f64 x (*.f64 z (/.f64 y t)))
(pow.f64 (pow.f64 (-.f64 x (*.f64 y (/.f64 z t))) 3) 1/3)
(-.f64 x (/.f64 z (/.f64 t y)))
(-.f64 x (*.f64 z (/.f64 y t)))
(sqrt.f64 (pow.f64 (-.f64 x (*.f64 y (/.f64 z t))) 2))
(sqrt.f64 (pow.f64 (-.f64 x (/.f64 z (/.f64 t y))) 2))
(sqrt.f64 (pow.f64 (-.f64 x (*.f64 z (/.f64 y t))) 2))
(log.f64 (exp.f64 (-.f64 x (*.f64 y (/.f64 z t)))))
(-.f64 x (/.f64 z (/.f64 t y)))
(-.f64 x (*.f64 z (/.f64 y t)))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 x (*.f64 y (/.f64 z t))))))
(-.f64 x (/.f64 z (/.f64 t y)))
(-.f64 x (*.f64 z (/.f64 y t)))
(cbrt.f64 (pow.f64 (-.f64 x (*.f64 y (/.f64 z t))) 3))
(-.f64 x (/.f64 z (/.f64 t y)))
(-.f64 x (*.f64 z (/.f64 y t)))
(expm1.f64 (log1p.f64 (-.f64 x (*.f64 y (/.f64 z t)))))
(-.f64 x (/.f64 z (/.f64 t y)))
(-.f64 x (*.f64 z (/.f64 y t)))
(exp.f64 (log.f64 (-.f64 x (*.f64 y (/.f64 z t)))))
(-.f64 x (/.f64 z (/.f64 t y)))
(-.f64 x (*.f64 z (/.f64 y t)))
(exp.f64 (*.f64 (log.f64 (-.f64 x (*.f64 y (/.f64 z t)))) 1))
(-.f64 x (/.f64 z (/.f64 t y)))
(-.f64 x (*.f64 z (/.f64 y t)))
(log1p.f64 (expm1.f64 (-.f64 x (*.f64 y (/.f64 z t)))))
(-.f64 x (/.f64 z (/.f64 t y)))
(-.f64 x (*.f64 z (/.f64 y t)))
(fma.f64 1 x (*.f64 (/.f64 z t) (neg.f64 y)))
(-.f64 x (/.f64 z (/.f64 t y)))
(-.f64 x (*.f64 z (/.f64 y t)))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (/.f64 z t) (neg.f64 y)))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (/.f64 (*.f64 z (neg.f64 y)) t))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (/.f64 z (/.f64 t (neg.f64 y))))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 (/.f64 z t) (neg.f64 y)))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (/.f64 (*.f64 z (neg.f64 y)) t))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (/.f64 z (/.f64 t (neg.f64 y))))

localize17.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
4.3b
(*.f64 (/.f64 (neg.f64 y) t) (expm1.f64 z))
Compiler

Compiled 22 to 8 computations (63.6% saved)

series2.0ms (0%)

Counts
1 → 36
Calls

9 calls:

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

rewrite59.0ms (0.3%)

Algorithm
batch-egg-rewrite
Rules
1900×add-sqr-sqrt
1888×*-un-lft-identity
1750×add-cube-cbrt
1722×add-cbrt-cube
208×pow1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01021
120517
2278317
Stop Event
node limit
Counts
1 → 22
Calls
Call 1
Inputs
(*.f64 (/.f64 (neg.f64 y) t) (expm1.f64 z))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (expm1.f64 z) (/.f64 t y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 y (/.f64 t (expm1.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (expm1.f64 z) (/.f64 t y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 t (*.f64 y (expm1.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (expm1.f64 z)) t)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (expm1.f64 z)) (neg.f64 t))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 y (expm1.f64 z)) 1) t)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 y (expm1.f64 z)) (sqrt.f64 t)) (sqrt.f64 t))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 y (expm1.f64 z)) (pow.f64 (cbrt.f64 t) 2)) (cbrt.f64 t))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (expm1.f64 z) (/.f64 t y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (expm1.f64 z) (/.f64 t y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (expm1.f64 z) (/.f64 t y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (expm1.f64 z) (/.f64 t y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (expm1.f64 z) (/.f64 t y)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (expm1.f64 z) (/.f64 t y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (expm1.f64 z)) (/.f64 y t)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (expm1.f64 z) (/.f64 t y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (expm1.f64 z) (/.f64 t y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (expm1.f64 z) (/.f64 t y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (expm1.f64 z) (/.f64 t y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (expm1.f64 z) (/.f64 t y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (expm1.f64 z) (/.f64 t y))))))))

simplify59.0ms (0.3%)

Algorithm
egg-herbie
Rules
1106×associate-*r*
1068×associate-+r+
1068×associate-*l*
1054×associate-+l+
730×times-frac
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0881284
12221278
28151278
355091278
Stop Event
node limit
Counts
58 → 42
Calls
Call 1
Inputs
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(*.f64 -1 (/.f64 (*.f64 y z) t))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) (*.f64 -1/2 (/.f64 (*.f64 y (pow.f64 z 2)) t)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 y (pow.f64 z 2)) t)) (*.f64 -1/6 (/.f64 (*.f64 y (pow.f64 z 3)) t))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 y (pow.f64 z 2)) t)) (+.f64 (*.f64 -1/24 (/.f64 (*.f64 y (pow.f64 z 4)) t)) (*.f64 -1/6 (/.f64 (*.f64 y (pow.f64 z 3)) t)))))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (expm1.f64 z) (/.f64 t y)))) 1)
(/.f64 y (/.f64 t (expm1.f64 z)))
(/.f64 (expm1.f64 z) (/.f64 t y))
(/.f64 1 (/.f64 t (*.f64 y (expm1.f64 z))))
(/.f64 (*.f64 y (expm1.f64 z)) t)
(/.f64 (*.f64 y (expm1.f64 z)) (neg.f64 t))
(/.f64 (/.f64 (*.f64 y (expm1.f64 z)) 1) t)
(/.f64 (/.f64 (*.f64 y (expm1.f64 z)) (sqrt.f64 t)) (sqrt.f64 t))
(/.f64 (/.f64 (*.f64 y (expm1.f64 z)) (pow.f64 (cbrt.f64 t) 2)) (cbrt.f64 t))
(pow.f64 (/.f64 (expm1.f64 z) (/.f64 t y)) 1)
(pow.f64 (sqrt.f64 (/.f64 (expm1.f64 z) (/.f64 t y))) 2)
(pow.f64 (cbrt.f64 (/.f64 (expm1.f64 z) (/.f64 t y))) 3)
(pow.f64 (pow.f64 (/.f64 (expm1.f64 z) (/.f64 t y)) 3) 1/3)
(neg.f64 (/.f64 (expm1.f64 z) (/.f64 t y)))
(sqrt.f64 (pow.f64 (/.f64 (expm1.f64 z) (/.f64 t y)) 2))
(log.f64 (pow.f64 (exp.f64 (expm1.f64 z)) (/.f64 y t)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (expm1.f64 z) (/.f64 t y)))))
(cbrt.f64 (pow.f64 (/.f64 (expm1.f64 z) (/.f64 t y)) 3))
(expm1.f64 (log1p.f64 (/.f64 (expm1.f64 z) (/.f64 t y))))
(exp.f64 (log.f64 (/.f64 (expm1.f64 z) (/.f64 t y))))
(exp.f64 (*.f64 (log.f64 (/.f64 (expm1.f64 z) (/.f64 t y))) 1))
(log1p.f64 (expm1.f64 (/.f64 (expm1.f64 z) (/.f64 t y))))
Outputs
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(/.f64 (neg.f64 (expm1.f64 z)) (/.f64 t y))
(*.f64 (expm1.f64 z) (neg.f64 (/.f64 y t)))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(/.f64 (neg.f64 (expm1.f64 z)) (/.f64 t y))
(*.f64 (expm1.f64 z) (neg.f64 (/.f64 y t)))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(/.f64 (neg.f64 (expm1.f64 z)) (/.f64 t y))
(*.f64 (expm1.f64 z) (neg.f64 (/.f64 y t)))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(/.f64 (neg.f64 (expm1.f64 z)) (/.f64 t y))
(*.f64 (expm1.f64 z) (neg.f64 (/.f64 y t)))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(/.f64 (neg.f64 (expm1.f64 z)) (/.f64 t y))
(*.f64 (expm1.f64 z) (neg.f64 (/.f64 y t)))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(/.f64 (neg.f64 (expm1.f64 z)) (/.f64 t y))
(*.f64 (expm1.f64 z) (neg.f64 (/.f64 y t)))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(/.f64 (neg.f64 (expm1.f64 z)) (/.f64 t y))
(*.f64 (expm1.f64 z) (neg.f64 (/.f64 y t)))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(/.f64 (neg.f64 (expm1.f64 z)) (/.f64 t y))
(*.f64 (expm1.f64 z) (neg.f64 (/.f64 y t)))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(/.f64 (neg.f64 (expm1.f64 z)) (/.f64 t y))
(*.f64 (expm1.f64 z) (neg.f64 (/.f64 y t)))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(/.f64 (neg.f64 (expm1.f64 z)) (/.f64 t y))
(*.f64 (expm1.f64 z) (neg.f64 (/.f64 y t)))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(/.f64 (neg.f64 (expm1.f64 z)) (/.f64 t y))
(*.f64 (expm1.f64 z) (neg.f64 (/.f64 y t)))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(/.f64 (neg.f64 (expm1.f64 z)) (/.f64 t y))
(*.f64 (expm1.f64 z) (neg.f64 (/.f64 y t)))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(/.f64 (neg.f64 (expm1.f64 z)) (/.f64 t y))
(*.f64 (expm1.f64 z) (neg.f64 (/.f64 y t)))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(/.f64 (neg.f64 (expm1.f64 z)) (/.f64 t y))
(*.f64 (expm1.f64 z) (neg.f64 (/.f64 y t)))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(/.f64 (neg.f64 (expm1.f64 z)) (/.f64 t y))
(*.f64 (expm1.f64 z) (neg.f64 (/.f64 y t)))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(/.f64 (neg.f64 (expm1.f64 z)) (/.f64 t y))
(*.f64 (expm1.f64 z) (neg.f64 (/.f64 y t)))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(/.f64 (neg.f64 (expm1.f64 z)) (/.f64 t y))
(*.f64 (expm1.f64 z) (neg.f64 (/.f64 y t)))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(/.f64 (neg.f64 (expm1.f64 z)) (/.f64 t y))
(*.f64 (expm1.f64 z) (neg.f64 (/.f64 y t)))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(/.f64 (neg.f64 (expm1.f64 z)) (/.f64 t y))
(*.f64 (expm1.f64 z) (neg.f64 (/.f64 y t)))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(/.f64 (neg.f64 (expm1.f64 z)) (/.f64 t y))
(*.f64 (expm1.f64 z) (neg.f64 (/.f64 y t)))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(/.f64 (neg.f64 (expm1.f64 z)) (/.f64 t y))
(*.f64 (expm1.f64 z) (neg.f64 (/.f64 y t)))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(/.f64 (neg.f64 (expm1.f64 z)) (/.f64 t y))
(*.f64 (expm1.f64 z) (neg.f64 (/.f64 y t)))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(/.f64 (neg.f64 (expm1.f64 z)) (/.f64 t y))
(*.f64 (expm1.f64 z) (neg.f64 (/.f64 y t)))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(/.f64 (neg.f64 (expm1.f64 z)) (/.f64 t y))
(*.f64 (expm1.f64 z) (neg.f64 (/.f64 y t)))
(*.f64 -1 (/.f64 (*.f64 y z) t))
(neg.f64 (/.f64 y (/.f64 t z)))
(/.f64 (neg.f64 (*.f64 z y)) t)
(*.f64 (/.f64 y t) (neg.f64 z))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) (*.f64 -1/2 (/.f64 (*.f64 y (pow.f64 z 2)) t)))
(fma.f64 -1 (/.f64 y (/.f64 t z)) (*.f64 -1/2 (/.f64 y (/.f64 t (*.f64 z z)))))
(-.f64 (*.f64 -1/2 (/.f64 (*.f64 z z) (/.f64 t y))) (/.f64 z (/.f64 t y)))
(-.f64 (*.f64 -1/2 (*.f64 y (/.f64 (*.f64 z z) t))) (*.f64 y (/.f64 z t)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 y (pow.f64 z 2)) t)) (*.f64 -1/6 (/.f64 (*.f64 y (pow.f64 z 3)) t))))
(fma.f64 -1 (/.f64 y (/.f64 t z)) (fma.f64 -1/2 (/.f64 y (/.f64 t (*.f64 z z))) (/.f64 (*.f64 -1/6 (*.f64 y (pow.f64 z 3))) t)))
(-.f64 (fma.f64 -1/2 (/.f64 (*.f64 z z) (/.f64 t y)) (*.f64 -1/6 (*.f64 (/.f64 y t) (pow.f64 z 3)))) (/.f64 z (/.f64 t y)))
(-.f64 (fma.f64 -1/6 (*.f64 (pow.f64 z 3) (/.f64 y t)) (*.f64 -1/2 (*.f64 y (/.f64 (*.f64 z z) t)))) (*.f64 y (/.f64 z t)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 y (pow.f64 z 2)) t)) (+.f64 (*.f64 -1/24 (/.f64 (*.f64 y (pow.f64 z 4)) t)) (*.f64 -1/6 (/.f64 (*.f64 y (pow.f64 z 3)) t)))))
(fma.f64 -1 (/.f64 y (/.f64 t z)) (fma.f64 -1/2 (/.f64 y (/.f64 t (*.f64 z z))) (fma.f64 -1/24 (/.f64 y (/.f64 t (pow.f64 z 4))) (/.f64 (*.f64 -1/6 (*.f64 y (pow.f64 z 3))) t))))
(-.f64 (fma.f64 -1/2 (/.f64 (*.f64 z z) (/.f64 t y)) (fma.f64 -1/6 (*.f64 (/.f64 y t) (pow.f64 z 3)) (*.f64 -1/24 (/.f64 (pow.f64 z 4) (/.f64 t y))))) (/.f64 z (/.f64 t y)))
(-.f64 (fma.f64 -1/6 (*.f64 (pow.f64 z 3) (/.f64 y t)) (fma.f64 -1/2 (*.f64 y (/.f64 (*.f64 z z) t)) (*.f64 -1/24 (*.f64 y (/.f64 (pow.f64 z 4) t))))) (*.f64 y (/.f64 z t)))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(/.f64 (neg.f64 (expm1.f64 z)) (/.f64 t y))
(*.f64 (expm1.f64 z) (neg.f64 (/.f64 y t)))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(/.f64 (neg.f64 (expm1.f64 z)) (/.f64 t y))
(*.f64 (expm1.f64 z) (neg.f64 (/.f64 y t)))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(/.f64 (neg.f64 (expm1.f64 z)) (/.f64 t y))
(*.f64 (expm1.f64 z) (neg.f64 (/.f64 y t)))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(/.f64 (neg.f64 (expm1.f64 z)) (/.f64 t y))
(*.f64 (expm1.f64 z) (neg.f64 (/.f64 y t)))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(/.f64 (neg.f64 (expm1.f64 z)) (/.f64 t y))
(*.f64 (expm1.f64 z) (neg.f64 (/.f64 y t)))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(/.f64 (neg.f64 (expm1.f64 z)) (/.f64 t y))
(*.f64 (expm1.f64 z) (neg.f64 (/.f64 y t)))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(/.f64 (neg.f64 (expm1.f64 z)) (/.f64 t y))
(*.f64 (expm1.f64 z) (neg.f64 (/.f64 y t)))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(/.f64 (neg.f64 (expm1.f64 z)) (/.f64 t y))
(*.f64 (expm1.f64 z) (neg.f64 (/.f64 y t)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (expm1.f64 z) (/.f64 t y)))) 1)
(/.f64 (expm1.f64 z) (/.f64 t y))
(*.f64 (expm1.f64 z) (/.f64 y t))
(/.f64 y (/.f64 t (expm1.f64 z)))
(/.f64 (expm1.f64 z) (/.f64 t y))
(*.f64 (expm1.f64 z) (/.f64 y t))
(/.f64 (expm1.f64 z) (/.f64 t y))
(*.f64 (expm1.f64 z) (/.f64 y t))
(/.f64 1 (/.f64 t (*.f64 y (expm1.f64 z))))
(/.f64 (expm1.f64 z) (/.f64 t y))
(*.f64 (expm1.f64 z) (/.f64 y t))
(/.f64 (*.f64 y (expm1.f64 z)) t)
(/.f64 (expm1.f64 z) (/.f64 t y))
(*.f64 (expm1.f64 z) (/.f64 y t))
(/.f64 (*.f64 y (expm1.f64 z)) (neg.f64 t))
(/.f64 (neg.f64 (expm1.f64 z)) (/.f64 t y))
(*.f64 (expm1.f64 z) (neg.f64 (/.f64 y t)))
(/.f64 (/.f64 (*.f64 y (expm1.f64 z)) 1) t)
(/.f64 (expm1.f64 z) (/.f64 t y))
(*.f64 (expm1.f64 z) (/.f64 y t))
(/.f64 (/.f64 (*.f64 y (expm1.f64 z)) (sqrt.f64 t)) (sqrt.f64 t))
(/.f64 (expm1.f64 z) (/.f64 t y))
(*.f64 (expm1.f64 z) (/.f64 y t))
(/.f64 (/.f64 (*.f64 y (expm1.f64 z)) (pow.f64 (cbrt.f64 t) 2)) (cbrt.f64 t))
(/.f64 (expm1.f64 z) (/.f64 t y))
(*.f64 (expm1.f64 z) (/.f64 y t))
(pow.f64 (/.f64 (expm1.f64 z) (/.f64 t y)) 1)
(/.f64 (expm1.f64 z) (/.f64 t y))
(*.f64 (expm1.f64 z) (/.f64 y t))
(pow.f64 (sqrt.f64 (/.f64 (expm1.f64 z) (/.f64 t y))) 2)
(/.f64 (expm1.f64 z) (/.f64 t y))
(*.f64 (expm1.f64 z) (/.f64 y t))
(pow.f64 (cbrt.f64 (/.f64 (expm1.f64 z) (/.f64 t y))) 3)
(/.f64 (expm1.f64 z) (/.f64 t y))
(*.f64 (expm1.f64 z) (/.f64 y t))
(pow.f64 (pow.f64 (/.f64 (expm1.f64 z) (/.f64 t y)) 3) 1/3)
(/.f64 (expm1.f64 z) (/.f64 t y))
(*.f64 (expm1.f64 z) (/.f64 y t))
(neg.f64 (/.f64 (expm1.f64 z) (/.f64 t y)))
(/.f64 (neg.f64 (expm1.f64 z)) (/.f64 t y))
(*.f64 (expm1.f64 z) (neg.f64 (/.f64 y t)))
(sqrt.f64 (pow.f64 (/.f64 (expm1.f64 z) (/.f64 t y)) 2))
(/.f64 (expm1.f64 z) (/.f64 t y))
(*.f64 (expm1.f64 z) (/.f64 y t))
(log.f64 (pow.f64 (exp.f64 (expm1.f64 z)) (/.f64 y t)))
(/.f64 (expm1.f64 z) (/.f64 t y))
(*.f64 (expm1.f64 z) (/.f64 y t))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (expm1.f64 z) (/.f64 t y)))))
(/.f64 (expm1.f64 z) (/.f64 t y))
(*.f64 (expm1.f64 z) (/.f64 y t))
(cbrt.f64 (pow.f64 (/.f64 (expm1.f64 z) (/.f64 t y)) 3))
(/.f64 (expm1.f64 z) (/.f64 t y))
(*.f64 (expm1.f64 z) (/.f64 y t))
(expm1.f64 (log1p.f64 (/.f64 (expm1.f64 z) (/.f64 t y))))
(/.f64 (expm1.f64 z) (/.f64 t y))
(*.f64 (expm1.f64 z) (/.f64 y t))
(exp.f64 (log.f64 (/.f64 (expm1.f64 z) (/.f64 t y))))
(/.f64 (expm1.f64 z) (/.f64 t y))
(*.f64 (expm1.f64 z) (/.f64 y t))
(exp.f64 (*.f64 (log.f64 (/.f64 (expm1.f64 z) (/.f64 t y))) 1))
(/.f64 (expm1.f64 z) (/.f64 t y))
(*.f64 (expm1.f64 z) (/.f64 y t))
(log1p.f64 (expm1.f64 (/.f64 (expm1.f64 z) (/.f64 t y))))
(/.f64 (expm1.f64 z) (/.f64 t y))
(*.f64 (expm1.f64 z) (/.f64 y t))

localize19.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(-.f64 x (*.f64 (/.f64 (pow.f64 t -1) (/.f64 1 z)) y))
0.5b
(/.f64 (pow.f64 t -1) (/.f64 1 z))
5.2b
(*.f64 (/.f64 (pow.f64 t -1) (/.f64 1 z)) y)
Compiler

Compiled 43 to 28 computations (34.9% saved)

series3.0ms (0%)

Counts
3 → 108
Calls

27 calls:

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

rewrite98.0ms (0.5%)

Algorithm
batch-egg-rewrite
Rules
1582×associate-/r*
1190×associate-/l*
636×associate-/r/
512×distribute-lft-in
358×associate-/l/
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01375
128439
2384339
Stop Event
node limit
Counts
3 → 252
Calls
Call 1
Inputs
(*.f64 (/.f64 (pow.f64 t -1) (/.f64 1 z)) y)
(/.f64 (pow.f64 t -1) (/.f64 1 z))
(-.f64 x (*.f64 (/.f64 (pow.f64 t -1) (/.f64 1 z)) y))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 z t) y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (*.f64 (/.f64 1 (*.f64 y z)) (neg.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 t) (/.f64 1 (*.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 t) (*.f64 (/.f64 1 (*.f64 y z)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (/.f64 t z) y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 y (/.f64 t z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 z t) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 t -1/2) (/.f64 (/.f64 1 (*.f64 y z)) (pow.f64 t -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 t -1/2) (/.f64 (/.f64 1 z) (*.f64 (pow.f64 t -1/2) y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 t -1/2) (*.f64 (/.f64 1 (*.f64 y z)) (sqrt.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 y) (/.f64 (/.f64 t z) 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simplify388.0ms (2.1%)

Algorithm
egg-herbie
Rules
948×associate-*r*
816×associate-*l*
796×associate-/l/
606×associate-/l*
606×*-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
063711044
118309900
Stop Event
node limit
Counts
360 → 370
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 z t)
(/.f64 z t)
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(/.f64 z t)
(/.f64 z t)
(/.f64 z t)
(*.f64 -1 (/.f64 (*.f64 y z) t))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
x
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
x
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(*.f64 -1 (/.f64 (*.f64 y z) t))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
x
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
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(log1p.f64 (expm1.f64 (-.f64 x (*.f64 (/.f64 z t) y))))
(fma.f64 1 x (*.f64 (/.f64 z t) (neg.f64 y)))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (/.f64 z t) (neg.f64 y)))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 (/.f64 z t) (neg.f64 y)))
Outputs
(/.f64 (*.f64 y z) t)
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(/.f64 (*.f64 y z) t)
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(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (/.f64 z t) y) 2)) (+.f64 (*.f64 (/.f64 z t) y) x))
(fma.f64 (/.f64 z t) (neg.f64 y) x)
(-.f64 x (/.f64 y (/.f64 t z)))
(/.f64 (+.f64 (*.f64 (/.f64 z t) y) x) (/.f64 (+.f64 (*.f64 (/.f64 z t) y) x) (-.f64 x (*.f64 (/.f64 z t) y))))
(fma.f64 (/.f64 z t) (neg.f64 y) x)
(-.f64 x (/.f64 y (/.f64 t z)))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 (/.f64 z t) y) 3)) (fma.f64 x x (*.f64 (*.f64 (/.f64 z t) y) (+.f64 (*.f64 (/.f64 z t) y) x))))
(*.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 y (/.f64 z t)) 3)) (/.f64 1 (fma.f64 x x (*.f64 (*.f64 y (/.f64 z t)) (fma.f64 (/.f64 z t) y x)))))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 y (/.f64 t z)) 3)) (fma.f64 x x (*.f64 y (*.f64 (/.f64 z t) (fma.f64 (/.f64 z t) y x)))))
(/.f64 (fma.f64 x x (*.f64 (*.f64 (/.f64 z t) y) (+.f64 (*.f64 (/.f64 z t) y) x))) (/.f64 (fma.f64 x x (*.f64 (*.f64 (/.f64 z t) y) (+.f64 (*.f64 (/.f64 z t) y) x))) (-.f64 x (*.f64 (/.f64 z t) y))))
(fma.f64 (/.f64 z t) (neg.f64 y) x)
(-.f64 x (/.f64 y (/.f64 t z)))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 (/.f64 z t) y) 3))) (/.f64 (fma.f64 x x (*.f64 (*.f64 (/.f64 z t) y) (+.f64 (*.f64 (/.f64 z t) y) x))) (sqrt.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 (/.f64 z t) y) 3)))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 y (/.f64 z t)) 3))) (fma.f64 x x (*.f64 (*.f64 y (/.f64 z t)) (fma.f64 (/.f64 z t) y x)))) (sqrt.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 y (/.f64 z t)) 3))))
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(/.f64 (sqrt.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (/.f64 z t) y) 2))) (/.f64 (+.f64 (*.f64 (/.f64 z t) y) x) (sqrt.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (/.f64 z t) y) 2)))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 y (/.f64 z t)) 2))) (fma.f64 (/.f64 z t) y x)) (sqrt.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 y (/.f64 z t)) 2))))
(*.f64 (sqrt.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 y (/.f64 t z)) 2))) (/.f64 (sqrt.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 y (/.f64 t z)) 2))) (fma.f64 (/.f64 z t) y x)))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 (/.f64 z t) y) 3))) (cbrt.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 (/.f64 z t) y) 3)))) (/.f64 (fma.f64 x x (*.f64 (*.f64 (/.f64 z t) y) (+.f64 (*.f64 (/.f64 z t) y) x))) (cbrt.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 (/.f64 z t) y) 3)))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 y (/.f64 z t)) 3))) (cbrt.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 y (/.f64 z t)) 3)))) (/.f64 (fma.f64 x x (*.f64 (*.f64 y (/.f64 z t)) (fma.f64 (/.f64 z t) y x))) (cbrt.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 y (/.f64 z t)) 3)))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 y (/.f64 t z)) 3))) (cbrt.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 y (/.f64 t z)) 3)))) (/.f64 (fma.f64 x x (*.f64 y (*.f64 (/.f64 z t) (fma.f64 (/.f64 z t) y x)))) (cbrt.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 y (/.f64 t z)) 3)))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (/.f64 z t) y) 2))) (cbrt.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (/.f64 z t) y) 2)))) (/.f64 (+.f64 (*.f64 (/.f64 z t) y) x) (cbrt.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (/.f64 z t) y) 2)))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 y (/.f64 z t)) 2))) (cbrt.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 y (/.f64 z t)) 2)))) (/.f64 (fma.f64 (/.f64 z t) y x) (cbrt.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 y (/.f64 z t)) 2)))))
(/.f64 (cbrt.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 y (/.f64 t z)) 2))) (/.f64 (fma.f64 (/.f64 z t) y x) (*.f64 (cbrt.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 y (/.f64 t z)) 2))) (cbrt.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 y (/.f64 t z)) 2))))))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (/.f64 z t) (neg.f64 y)) (*.f64 (/.f64 z t) (neg.f64 y)))) (-.f64 x (*.f64 (/.f64 z t) (neg.f64 y))))
(fma.f64 (/.f64 z t) (neg.f64 y) x)
(-.f64 x (/.f64 y (/.f64 t z)))
(/.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (pow.f64 (*.f64 (/.f64 z t) y) 2) (pow.f64 (*.f64 (/.f64 z t) y) 2))) (*.f64 (+.f64 (*.f64 (/.f64 z t) y) x) (+.f64 (pow.f64 (*.f64 (/.f64 z t) y) 2) (*.f64 x x))))
(/.f64 (-.f64 (*.f64 x (pow.f64 x 3)) (pow.f64 (*.f64 y (/.f64 z t)) 4)) (*.f64 (fma.f64 (/.f64 z t) y x) (+.f64 (pow.f64 (*.f64 y (/.f64 z t)) 2) (*.f64 x x))))
(*.f64 (/.f64 (+.f64 (pow.f64 (/.f64 y (/.f64 t z)) 2) (*.f64 x x)) (+.f64 (pow.f64 (/.f64 y (/.f64 t z)) 2) (*.f64 x x))) (-.f64 x (/.f64 y (/.f64 t z))))
(/.f64 (-.f64 (*.f64 (pow.f64 x 3) (pow.f64 x 3)) (*.f64 (pow.f64 (*.f64 (/.f64 z t) y) 3) (pow.f64 (*.f64 (/.f64 z t) y) 3))) (*.f64 (fma.f64 x x (*.f64 (*.f64 (/.f64 z t) y) (+.f64 (*.f64 (/.f64 z t) y) x))) (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 (/.f64 z t) y) 3))))
(/.f64 (-.f64 (pow.f64 x 6) (pow.f64 (*.f64 y (/.f64 z t)) 6)) (*.f64 (fma.f64 x x (*.f64 (*.f64 y (/.f64 z t)) (fma.f64 (/.f64 z t) y x))) (+.f64 (pow.f64 (*.f64 y (/.f64 z t)) 3) (pow.f64 x 3))))
(/.f64 (-.f64 (pow.f64 x 6) (pow.f64 (/.f64 y (/.f64 t z)) 6)) (*.f64 (fma.f64 x x (*.f64 y (*.f64 (/.f64 z t) (fma.f64 (/.f64 z t) y x)))) (+.f64 (pow.f64 (/.f64 y (/.f64 t z)) 3) (pow.f64 x 3))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 (/.f64 z t) (neg.f64 y)) 3)) (+.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 (/.f64 z t) (neg.f64 y)) (*.f64 (/.f64 z t) (neg.f64 y))) (*.f64 x (*.f64 (/.f64 z t) (neg.f64 y))))))
(*.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 y (/.f64 z t)) 3)) (/.f64 1 (fma.f64 x x (*.f64 (*.f64 y (/.f64 z t)) (fma.f64 (/.f64 z t) y x)))))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 y (/.f64 t z)) 3)) (fma.f64 x x (*.f64 y (*.f64 (/.f64 z t) (fma.f64 (/.f64 z t) y x)))))
(/.f64 (-.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (pow.f64 (*.f64 (/.f64 z t) y) 2) 3)) (*.f64 (+.f64 (*.f64 (/.f64 z t) y) x) (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 (*.f64 (pow.f64 (*.f64 (/.f64 z t) y) 2) (pow.f64 (*.f64 (/.f64 z t) y) 2)) (*.f64 (*.f64 x x) (pow.f64 (*.f64 (/.f64 z t) y) 2))))))
(/.f64 (-.f64 (pow.f64 x 6) (pow.f64 (pow.f64 (*.f64 y (/.f64 z t)) 2) 3)) (*.f64 (fma.f64 (/.f64 z t) y x) (+.f64 (*.f64 x (pow.f64 x 3)) (+.f64 (pow.f64 (*.f64 y (/.f64 z t)) 4) (*.f64 x (*.f64 x (pow.f64 (*.f64 y (/.f64 z t)) 2)))))))
(/.f64 (/.f64 (-.f64 (pow.f64 x 6) (pow.f64 (/.f64 y (/.f64 t z)) 6)) (fma.f64 (/.f64 z t) y x)) (+.f64 (*.f64 x (pow.f64 x 3)) (+.f64 (pow.f64 (/.f64 y (/.f64 t z)) 4) (*.f64 x (*.f64 x (pow.f64 (/.f64 y (/.f64 t z)) 2))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 x 3) 3) (pow.f64 (pow.f64 (*.f64 (/.f64 z t) y) 3) 3)) (*.f64 (fma.f64 x x (*.f64 (*.f64 (/.f64 z t) y) (+.f64 (*.f64 (/.f64 z t) y) x))) (+.f64 (*.f64 (pow.f64 x 3) (pow.f64 x 3)) (+.f64 (*.f64 (pow.f64 (*.f64 (/.f64 z t) y) 3) (pow.f64 (*.f64 (/.f64 z t) y) 3)) (*.f64 (pow.f64 x 3) (pow.f64 (*.f64 (/.f64 z t) y) 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 (*.f64 y (/.f64 z t)) (fma.f64 (/.f64 z t) y x))) (+.f64 (pow.f64 x 6) (*.f64 (pow.f64 (*.f64 y (/.f64 z t)) 3) (+.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 y (/.f64 t z)) 3) 3)) (*.f64 (fma.f64 x x (*.f64 y (*.f64 (/.f64 z t) (fma.f64 (/.f64 z t) y x)))) (+.f64 (*.f64 (pow.f64 (/.f64 y (/.f64 t z)) 3) (pow.f64 x 3)) (+.f64 (pow.f64 x 6) (pow.f64 (/.f64 y (/.f64 t z)) 6)))))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (/.f64 z t) y) 2))) (neg.f64 (+.f64 (*.f64 (/.f64 z t) y) x)))
(fma.f64 (/.f64 z t) (neg.f64 y) x)
(-.f64 x (/.f64 y (/.f64 t z)))
(/.f64 (neg.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 (/.f64 z t) y) 3))) (neg.f64 (fma.f64 x x (*.f64 (*.f64 (/.f64 z t) y) (+.f64 (*.f64 (/.f64 z t) y) x)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 y (/.f64 z t)) 3))) (neg.f64 (fma.f64 x x (*.f64 (*.f64 y (/.f64 z t)) (fma.f64 (/.f64 z t) y x)))))
(*.f64 1 (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 y (/.f64 t z)) 3)) (fma.f64 x x (*.f64 y (*.f64 (/.f64 z t) (fma.f64 (/.f64 z t) y x))))))
(/.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (/.f64 z t) y) 2)) 1) (+.f64 (*.f64 (/.f64 z t) y) x))
(fma.f64 (/.f64 z t) (neg.f64 y) x)
(-.f64 x (/.f64 y (/.f64 t z)))
(/.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (/.f64 z t) y) 2)) (sqrt.f64 (+.f64 (*.f64 (/.f64 z t) y) x))) (sqrt.f64 (+.f64 (*.f64 (/.f64 z t) y) x)))
(fma.f64 (/.f64 z t) (neg.f64 y) x)
(-.f64 x (/.f64 y (/.f64 t z)))
(/.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (/.f64 z t) y) 2)) (*.f64 (cbrt.f64 (+.f64 (*.f64 (/.f64 z t) y) x)) (cbrt.f64 (+.f64 (*.f64 (/.f64 z t) y) x)))) (cbrt.f64 (+.f64 (*.f64 (/.f64 z t) y) x)))
(fma.f64 (/.f64 z t) (neg.f64 y) x)
(-.f64 x (/.f64 y (/.f64 t z)))
(/.f64 (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 (/.f64 z t) y) 3)) 1) (fma.f64 x x (*.f64 (*.f64 (/.f64 z t) y) (+.f64 (*.f64 (/.f64 z t) y) x))))
(*.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 y (/.f64 z t)) 3)) (/.f64 1 (fma.f64 x x (*.f64 (*.f64 y (/.f64 z t)) (fma.f64 (/.f64 z t) y x)))))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 y (/.f64 t z)) 3)) (fma.f64 x x (*.f64 y (*.f64 (/.f64 z t) (fma.f64 (/.f64 z t) y x)))))
(/.f64 (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 (/.f64 z t) y) 3)) (sqrt.f64 (fma.f64 x x (*.f64 (*.f64 (/.f64 z t) y) (+.f64 (*.f64 (/.f64 z t) y) x))))) (sqrt.f64 (fma.f64 x x (*.f64 (*.f64 (/.f64 z t) y) (+.f64 (*.f64 (/.f64 z t) y) x)))))
(*.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 y (/.f64 z t)) 3)) (/.f64 1 (fma.f64 x x (*.f64 (*.f64 y (/.f64 z t)) (fma.f64 (/.f64 z t) y x)))))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 y (/.f64 t z)) 3)) (fma.f64 x x (*.f64 y (*.f64 (/.f64 z t) (fma.f64 (/.f64 z t) y x)))))
(/.f64 (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 (/.f64 z t) y) 3)) (*.f64 (cbrt.f64 (fma.f64 x x (*.f64 (*.f64 (/.f64 z t) y) (+.f64 (*.f64 (/.f64 z t) y) x)))) (cbrt.f64 (fma.f64 x x (*.f64 (*.f64 (/.f64 z t) y) (+.f64 (*.f64 (/.f64 z t) y) x)))))) (cbrt.f64 (fma.f64 x x (*.f64 (*.f64 (/.f64 z t) y) (+.f64 (*.f64 (/.f64 z t) y) x)))))
(*.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 y (/.f64 z t)) 3)) (/.f64 1 (fma.f64 x x (*.f64 (*.f64 y (/.f64 z t)) (fma.f64 (/.f64 z t) y x)))))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 y (/.f64 t z)) 3)) (fma.f64 x x (*.f64 y (*.f64 (/.f64 z t) (fma.f64 (/.f64 z t) y x)))))
(pow.f64 (-.f64 x (*.f64 (/.f64 z t) y)) 1)
(fma.f64 (/.f64 z t) (neg.f64 y) x)
(-.f64 x (/.f64 y (/.f64 t z)))
(pow.f64 (sqrt.f64 (-.f64 x (*.f64 (/.f64 z t) y))) 2)
(fma.f64 (/.f64 z t) (neg.f64 y) x)
(-.f64 x (/.f64 y (/.f64 t z)))
(pow.f64 (cbrt.f64 (-.f64 x (*.f64 (/.f64 z t) y))) 3)
(fma.f64 (/.f64 z t) (neg.f64 y) x)
(-.f64 x (/.f64 y (/.f64 t z)))
(pow.f64 (pow.f64 (-.f64 x (*.f64 (/.f64 z t) y)) 3) 1/3)
(fma.f64 (/.f64 z t) (neg.f64 y) x)
(-.f64 x (/.f64 y (/.f64 t z)))
(sqrt.f64 (pow.f64 (-.f64 x (*.f64 (/.f64 z t) y)) 2))
(sqrt.f64 (pow.f64 (fma.f64 (/.f64 z t) (neg.f64 y) x) 2))
(fabs.f64 (-.f64 x (/.f64 y (/.f64 t z))))
(log.f64 (exp.f64 (-.f64 x (*.f64 (/.f64 z t) y))))
(fma.f64 (/.f64 z t) (neg.f64 y) x)
(-.f64 x (/.f64 y (/.f64 t z)))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 x (*.f64 (/.f64 z t) y)))))
(fma.f64 (/.f64 z t) (neg.f64 y) x)
(-.f64 x (/.f64 y (/.f64 t z)))
(cbrt.f64 (pow.f64 (-.f64 x (*.f64 (/.f64 z t) y)) 3))
(fma.f64 (/.f64 z t) (neg.f64 y) x)
(-.f64 x (/.f64 y (/.f64 t z)))
(expm1.f64 (log1p.f64 (-.f64 x (*.f64 (/.f64 z t) y))))
(fma.f64 (/.f64 z t) (neg.f64 y) x)
(-.f64 x (/.f64 y (/.f64 t z)))
(exp.f64 (log.f64 (-.f64 x (*.f64 (/.f64 z t) y))))
(fma.f64 (/.f64 z t) (neg.f64 y) x)
(-.f64 x (/.f64 y (/.f64 t z)))
(exp.f64 (*.f64 (log.f64 (-.f64 x (*.f64 (/.f64 z t) y))) 1))
(fma.f64 (/.f64 z t) (neg.f64 y) x)
(-.f64 x (/.f64 y (/.f64 t z)))
(log1p.f64 (expm1.f64 (-.f64 x (*.f64 (/.f64 z t) y))))
(fma.f64 (/.f64 z t) (neg.f64 y) x)
(-.f64 x (/.f64 y (/.f64 t z)))
(fma.f64 1 x (*.f64 (/.f64 z t) (neg.f64 y)))
(fma.f64 (/.f64 z t) (neg.f64 y) x)
(-.f64 x (/.f64 y (/.f64 t z)))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (/.f64 z t) (neg.f64 y)))
(fma.f64 (/.f64 z t) (neg.f64 y) x)
(-.f64 x (/.f64 y (/.f64 t z)))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 (/.f64 z t) (neg.f64 y)))
(fma.f64 (/.f64 z t) (neg.f64 y) x)
(-.f64 x (/.f64 y (/.f64 t z)))

eval290.0ms (1.6%)

Compiler

Compiled 26358 to 9577 computations (63.7% saved)

prune311.0ms (1.7%)

Pruning

33 alts after pruning (23 fresh and 10 done)

PrunedKeptTotal
New1156131169
Fresh51015
Picked011
Done2911
Total1163331196
Error
0b
Counts
1196 → 33
Alt Table
Click to see full alt table
StatusErrorProgram
2.8b
(pow.f64 (cbrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) 3)
35.4b
(/.f64 (*.f64 (+.f64 x 2) x) (+.f64 x 2))
56.0b
(/.f64 (*.f64 z (neg.f64 y)) t)
43.5b
(/.f64 (neg.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) t)
51.8b
(/.f64 (neg.f64 (expm1.f64 z)) (/.f64 t y))
35.4b
(/.f64 1 (/.f64 (+.f64 x 2) (*.f64 (+.f64 x 2) x)))
18.2b
(/.f64 1 (/.f64 1 (-.f64 x (*.f64 (/.f64 z t) y))))
33.1b
(-.f64 (+.f64 1 x) 1)
56.8b
(-.f64 (*.f64 -1/2 (/.f64 (*.f64 z z) (/.f64 t y))) (/.f64 z (/.f64 t y)))
16.7b
(-.f64 x (/.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (cbrt.f64 (*.f64 t t))) (cbrt.f64 t)))
19.2b
(-.f64 x (/.f64 (/.f64 z (/.f64 1 y)) t))
19.3b
(-.f64 x (/.f64 (/.f64 y (/.f64 1 z)) t))
19.5b
(-.f64 x (/.f64 (/.f64 1 t) (/.f64 1 (*.f64 y z))))
2.1b
(-.f64 x (/.f64 (/.f64 1 t) (/.f64 1 (log1p.f64 (*.f64 y (expm1.f64 z))))))
53.2b
(-.f64 x (/.f64 (+.f64 (log.f64 (expm1.f64 z)) (log.f64 y)) t))
1.7b
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))
20.4b
(-.f64 x (/.f64 z (/.f64 t y)))
1.7b
(-.f64 x (/.f64 1 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z))))))
9.1b
(-.f64 x (/.f64 1 (+.f64 (/.f64 t (*.f64 (expm1.f64 z) y)) (*.f64 t 1/2))))
50.0b
(-.f64 x (-.f64 (/.f64 (log.f64 (neg.f64 (expm1.f64 z))) t) (/.f64 (log.f64 (/.f64 -1 y)) t)))
18.4b
(-.f64 x (*.f64 (/.f64 (pow.f64 t -1) (/.f64 1 z)) y))
10.6b
(-.f64 x (*.f64 (/.f64 (expm1.f64 z) t) y))
19.5b
(-.f64 x (*.f64 (/.f64 1 t) (*.f64 z y)))
2.0b
(-.f64 x (*.f64 (/.f64 1 t) (log1p.f64 (*.f64 y (expm1.f64 z)))))
18.4b
(-.f64 x (*.f64 (*.f64 (/.f64 1 t) z) y))
51.7b
(*.f64 (/.f64 (neg.f64 y) t) (expm1.f64 z))
54.8b
(*.f64 (/.f64 z t) (neg.f64 y))
56.4b
(*.f64 (/.f64 y t) (neg.f64 z))
35.4b
(*.f64 (*.f64 (+.f64 x 2) x) (/.f64 1 (+.f64 x 2)))
57.4b
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
48.5b
(sqrt.f64 (*.f64 x x))
54.8b
(neg.f64 (/.f64 y (/.f64 t z)))
21.0b
x
Compiler

Compiled 438 to 317 computations (27.6% saved)

regimes246.0ms (1.4%)

Counts
58 → 3
Calls
Call 1
Inputs
x
(-.f64 (+.f64 1 x) 1)
(neg.f64 (/.f64 y (/.f64 t z)))
(*.f64 (/.f64 y t) (neg.f64 z))
(*.f64 (/.f64 z t) (neg.f64 y))
(/.f64 (*.f64 y z) (neg.f64 t))
(/.f64 (*.f64 z (neg.f64 y)) t)
(-.f64 x (*.f64 y (/.f64 z t)))
(-.f64 x (*.f64 (/.f64 y t) z))
(-.f64 x (/.f64 y (/.f64 t z)))
(-.f64 x (/.f64 z (/.f64 t y)))
(-.f64 x (/.f64 (*.f64 z y) t))
(-.f64 x (*.f64 (*.f64 (/.f64 1 t) z) y))
(-.f64 x (*.f64 (/.f64 1 t) (*.f64 z y)))
(-.f64 x (/.f64 (/.f64 y (/.f64 1 z)) t))
(-.f64 x (/.f64 (/.f64 z (/.f64 1 y)) t))
(/.f64 (*.f64 (+.f64 x 2) x) (+.f64 x 2))
(*.f64 (*.f64 (+.f64 x 2) x) (/.f64 1 (+.f64 x 2)))
(-.f64 x (/.f64 (/.f64 1 t) (/.f64 1 (*.f64 y z))))
(/.f64 1 (/.f64 1 (-.f64 x (*.f64 y (/.f64 z t)))))
(/.f64 1 (/.f64 1 (-.f64 x (*.f64 (/.f64 z t) y))))
(/.f64 1 (/.f64 (+.f64 x 2) (*.f64 (+.f64 x 2) x)))
(-.f64 (*.f64 -1/2 (/.f64 (*.f64 z z) (/.f64 t y))) (/.f64 z (/.f64 t y)))
(-.f64 x (+.f64 (/.f64 y (/.f64 t z)) (*.f64 1/2 (/.f64 y (/.f64 t (*.f64 z z))))))
(-.f64 x (+.f64 (/.f64 (*.f64 y z) t) (/.f64 (*.f64 1/2 (*.f64 y (*.f64 z z))) t)))
(sqrt.f64 (*.f64 x x))
(*.f64 (expm1.f64 z) (neg.f64 (/.f64 y t)))
(*.f64 (/.f64 (neg.f64 y) t) (expm1.f64 z))
(/.f64 (neg.f64 (expm1.f64 z)) (/.f64 t y))
(-.f64 x (*.f64 (/.f64 (expm1.f64 z) t) y))
(-.f64 x (/.f64 (expm1.f64 z) (/.f64 t y)))
(-.f64 x (/.f64 (*.f64 (expm1.f64 z) y) t))
(-.f64 x (*.f64 y (*.f64 z (pow.f64 t -1))))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(-.f64 x (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(-.f64 x (*.f64 (/.f64 (pow.f64 t -1) (/.f64 1 z)) y))
(+.f64 (*.f64 y (-.f64 (/.f64 1 t) (/.f64 (exp.f64 z) t))) x)
(-.f64 x (/.f64 1 (+.f64 (/.f64 t (*.f64 (expm1.f64 z) y)) (*.f64 t 1/2))))
(-.f64 (fma.f64 (*.f64 (/.f64 y t) (*.f64 z z)) -1/2 x) (*.f64 (/.f64 y t) z))
(+.f64 (*.f64 (/.f64 y t) (neg.f64 z)) (+.f64 x (fma.f64 (/.f64 (neg.f64 y) t) z (*.f64 y (/.f64 z t)))))
(pow.f64 (cbrt.f64 x) 3)
(pow.f64 (pow.f64 x 1/3) 3)
(/.f64 (neg.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) t)
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))
(-.f64 x (*.f64 (/.f64 1 t) (log1p.f64 (*.f64 y (expm1.f64 z)))))
(-.f64 x (/.f64 1 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z))))))
(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 1 y) (*.f64 y (exp.f64 z)))) t))
(-.f64 x (/.f64 (/.f64 1 t) (/.f64 1 (log1p.f64 (*.f64 y (expm1.f64 z))))))
(/.f64 1 (/.f64 1 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))))
(-.f64 x (/.f64 (+.f64 (log.f64 (expm1.f64 z)) (log.f64 y)) t))
(-.f64 x (pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) -1))
(-.f64 (-.f64 x (/.f64 (log.f64 y) t)) (/.f64 (log.f64 (expm1.f64 z)) t))
(-.f64 x (-.f64 (/.f64 (log.f64 (neg.f64 (expm1.f64 z))) t) (/.f64 (log.f64 (/.f64 -1 y)) t)))
(pow.f64 (cbrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) 3)
(pow.f64 (sqrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) 2)
(-.f64 x (/.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (cbrt.f64 (*.f64 t t))) (cbrt.f64 t)))
(-.f64 x (/.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (pow.f64 (cbrt.f64 t) 2)) (cbrt.f64 t)))
(-.f64 x (*.f64 (/.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) t) (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))))
Outputs
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))
(-.f64 x (/.f64 (expm1.f64 z) (/.f64 t y)))
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))
Calls

9 calls:

68.0ms
y
50.0ms
(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 1 y) (*.f64 y (exp.f64 z)))) t))
25.0ms
t
25.0ms
x
24.0ms
z
Results
ErrorSegmentsBranch
1.7b1x
0.3b3y
1.7b1z
1.7b1t
0.6b3(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 1 y) (*.f64 y (exp.f64 z)))) t))
0.3b3(/.f64 (log.f64 (+.f64 (-.f64 1 y) (*.f64 y (exp.f64 z)))) t)
0.3b3(log.f64 (+.f64 (-.f64 1 y) (*.f64 y (exp.f64 z))))
0.3b3(+.f64 (-.f64 1 y) (*.f64 y (exp.f64 z)))
1.7b1(exp.f64 z)
Compiler

Compiled 664 to 312 computations (53% saved)

bsearch22.0ms (0.1%)

Algorithm
binary-search
Steps
TimeLeftRight
8.0ms
8.491574932495785e-24
7.553031596921807e-16
13.0ms
-3.078219720621413e-71
-5.4098643449522935e-77
Results
10.0ms58×body256valid
4.0ms14×body512valid
3.0msbody1024valid
2.0msbody2048valid
0.0msbody256invalid
Compiler

Compiled 159 to 113 computations (28.9% saved)

regimes308.0ms (1.7%)

Counts
43 → 3
Calls
Call 1
Inputs
x
(-.f64 (+.f64 1 x) 1)
(neg.f64 (/.f64 y (/.f64 t z)))
(*.f64 (/.f64 y t) (neg.f64 z))
(*.f64 (/.f64 z t) (neg.f64 y))
(/.f64 (*.f64 y z) (neg.f64 t))
(/.f64 (*.f64 z (neg.f64 y)) t)
(-.f64 x (*.f64 y (/.f64 z t)))
(-.f64 x (*.f64 (/.f64 y t) z))
(-.f64 x (/.f64 y (/.f64 t z)))
(-.f64 x (/.f64 z (/.f64 t y)))
(-.f64 x (/.f64 (*.f64 z y) t))
(-.f64 x (*.f64 (*.f64 (/.f64 1 t) z) y))
(-.f64 x (*.f64 (/.f64 1 t) (*.f64 z y)))
(-.f64 x (/.f64 (/.f64 y (/.f64 1 z)) t))
(-.f64 x (/.f64 (/.f64 z (/.f64 1 y)) t))
(/.f64 (*.f64 (+.f64 x 2) x) (+.f64 x 2))
(*.f64 (*.f64 (+.f64 x 2) x) (/.f64 1 (+.f64 x 2)))
(-.f64 x (/.f64 (/.f64 1 t) (/.f64 1 (*.f64 y z))))
(/.f64 1 (/.f64 1 (-.f64 x (*.f64 y (/.f64 z t)))))
(/.f64 1 (/.f64 1 (-.f64 x (*.f64 (/.f64 z t) y))))
(/.f64 1 (/.f64 (+.f64 x 2) (*.f64 (+.f64 x 2) x)))
(-.f64 (*.f64 -1/2 (/.f64 (*.f64 z z) (/.f64 t y))) (/.f64 z (/.f64 t y)))
(-.f64 x (+.f64 (/.f64 y (/.f64 t z)) (*.f64 1/2 (/.f64 y (/.f64 t (*.f64 z z))))))
(-.f64 x (+.f64 (/.f64 (*.f64 y z) t) (/.f64 (*.f64 1/2 (*.f64 y (*.f64 z z))) t)))
(sqrt.f64 (*.f64 x x))
(*.f64 (expm1.f64 z) (neg.f64 (/.f64 y t)))
(*.f64 (/.f64 (neg.f64 y) t) (expm1.f64 z))
(/.f64 (neg.f64 (expm1.f64 z)) (/.f64 t y))
(-.f64 x (*.f64 (/.f64 (expm1.f64 z) t) y))
(-.f64 x (/.f64 (expm1.f64 z) (/.f64 t y)))
(-.f64 x (/.f64 (*.f64 (expm1.f64 z) y) t))
(-.f64 x (*.f64 y (*.f64 z (pow.f64 t -1))))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(-.f64 x (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(-.f64 x (*.f64 (/.f64 (pow.f64 t -1) (/.f64 1 z)) y))
(+.f64 (*.f64 y (-.f64 (/.f64 1 t) (/.f64 (exp.f64 z) t))) x)
(-.f64 x (/.f64 1 (+.f64 (/.f64 t (*.f64 (expm1.f64 z) y)) (*.f64 t 1/2))))
(-.f64 (fma.f64 (*.f64 (/.f64 y t) (*.f64 z z)) -1/2 x) (*.f64 (/.f64 y t) z))
(+.f64 (*.f64 (/.f64 y t) (neg.f64 z)) (+.f64 x (fma.f64 (/.f64 (neg.f64 y) t) z (*.f64 y (/.f64 z t)))))
(pow.f64 (cbrt.f64 x) 3)
(pow.f64 (pow.f64 x 1/3) 3)
(/.f64 (neg.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) t)
Outputs
(-.f64 x (/.f64 1 (+.f64 (/.f64 t (*.f64 (expm1.f64 z) y)) (*.f64 t 1/2))))
(-.f64 x (/.f64 (expm1.f64 z) (/.f64 t y)))
(-.f64 x (/.f64 1 (+.f64 (/.f64 t (*.f64 (expm1.f64 z) y)) (*.f64 t 1/2))))
Calls

5 calls:

105.0ms
y
87.0ms
x
83.0ms
t
18.0ms
z
5.0ms
(exp.f64 z)
Results
ErrorSegmentsBranch
8.0b3x
7.9b3y
9.1b1z
8.0b3t
9.1b1(exp.f64 z)
Compiler

Compiled 418 to 200 computations (52.2% saved)

bsearch42.0ms (0.2%)

Algorithm
binary-search
Steps
TimeLeftRight
6.0ms
9.688896705192694e-285
1.2679216616290128e-276
36.0ms
-3.072842460099988e-10
-5.488052560987215e-15
Results
17.0ms110×body256valid
11.0ms13×body512valid
11.0ms20×body1024valid
1.0msbody2048valid
Compiler

Compiled 312 to 225 computations (27.9% saved)

regimes163.0ms (0.9%)

Counts
37 → 1
Calls
Call 1
Inputs
x
(-.f64 (+.f64 1 x) 1)
(neg.f64 (/.f64 y (/.f64 t z)))
(*.f64 (/.f64 y t) (neg.f64 z))
(*.f64 (/.f64 z t) (neg.f64 y))
(/.f64 (*.f64 y z) (neg.f64 t))
(/.f64 (*.f64 z (neg.f64 y)) t)
(-.f64 x (*.f64 y (/.f64 z t)))
(-.f64 x (*.f64 (/.f64 y t) z))
(-.f64 x (/.f64 y (/.f64 t z)))
(-.f64 x (/.f64 z (/.f64 t y)))
(-.f64 x (/.f64 (*.f64 z y) t))
(-.f64 x (*.f64 (*.f64 (/.f64 1 t) z) y))
(-.f64 x (*.f64 (/.f64 1 t) (*.f64 z y)))
(-.f64 x (/.f64 (/.f64 y (/.f64 1 z)) t))
(-.f64 x (/.f64 (/.f64 z (/.f64 1 y)) t))
(/.f64 (*.f64 (+.f64 x 2) x) (+.f64 x 2))
(*.f64 (*.f64 (+.f64 x 2) x) (/.f64 1 (+.f64 x 2)))
(-.f64 x (/.f64 (/.f64 1 t) (/.f64 1 (*.f64 y z))))
(/.f64 1 (/.f64 1 (-.f64 x (*.f64 y (/.f64 z t)))))
(/.f64 1 (/.f64 1 (-.f64 x (*.f64 (/.f64 z t) y))))
(/.f64 1 (/.f64 (+.f64 x 2) (*.f64 (+.f64 x 2) x)))
(-.f64 (*.f64 -1/2 (/.f64 (*.f64 z z) (/.f64 t y))) (/.f64 z (/.f64 t y)))
(-.f64 x (+.f64 (/.f64 y (/.f64 t z)) (*.f64 1/2 (/.f64 y (/.f64 t (*.f64 z z))))))
(-.f64 x (+.f64 (/.f64 (*.f64 y z) t) (/.f64 (*.f64 1/2 (*.f64 y (*.f64 z z))) t)))
(sqrt.f64 (*.f64 x x))
(*.f64 (expm1.f64 z) (neg.f64 (/.f64 y t)))
(*.f64 (/.f64 (neg.f64 y) t) (expm1.f64 z))
(/.f64 (neg.f64 (expm1.f64 z)) (/.f64 t y))
(-.f64 x (*.f64 (/.f64 (expm1.f64 z) t) y))
(-.f64 x (/.f64 (expm1.f64 z) (/.f64 t y)))
(-.f64 x (/.f64 (*.f64 (expm1.f64 z) y) t))
(-.f64 x (*.f64 y (*.f64 z (pow.f64 t -1))))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(-.f64 x (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(-.f64 x (*.f64 (/.f64 (pow.f64 t -1) (/.f64 1 z)) y))
(+.f64 (*.f64 y (-.f64 (/.f64 1 t) (/.f64 (exp.f64 z) t))) x)
Outputs
(-.f64 x (*.f64 (/.f64 (expm1.f64 z) t) y))
Calls

5 calls:

58.0ms
t
21.0ms
x
19.0ms
z
16.0ms
y
4.0ms
(exp.f64 z)
Results
ErrorSegmentsBranch
10.6b1x
10.6b1y
10.6b1z
10.6b1t
10.6b1(exp.f64 z)
Compiler

Compiled 351 to 176 computations (49.9% saved)

regimes289.0ms (1.6%)

Counts
29 → 2
Calls
Call 1
Inputs
x
(-.f64 (+.f64 1 x) 1)
(neg.f64 (/.f64 y (/.f64 t z)))
(*.f64 (/.f64 y t) (neg.f64 z))
(*.f64 (/.f64 z t) (neg.f64 y))
(/.f64 (*.f64 y z) (neg.f64 t))
(/.f64 (*.f64 z (neg.f64 y)) t)
(-.f64 x (*.f64 y (/.f64 z t)))
(-.f64 x (*.f64 (/.f64 y t) z))
(-.f64 x (/.f64 y (/.f64 t z)))
(-.f64 x (/.f64 z (/.f64 t y)))
(-.f64 x (/.f64 (*.f64 z y) t))
(-.f64 x (*.f64 (*.f64 (/.f64 1 t) z) y))
(-.f64 x (*.f64 (/.f64 1 t) (*.f64 z y)))
(-.f64 x (/.f64 (/.f64 y (/.f64 1 z)) t))
(-.f64 x (/.f64 (/.f64 z (/.f64 1 y)) t))
(/.f64 (*.f64 (+.f64 x 2) x) (+.f64 x 2))
(*.f64 (*.f64 (+.f64 x 2) x) (/.f64 1 (+.f64 x 2)))
(-.f64 x (/.f64 (/.f64 1 t) (/.f64 1 (*.f64 y z))))
(/.f64 1 (/.f64 1 (-.f64 x (*.f64 y (/.f64 z t)))))
(/.f64 1 (/.f64 1 (-.f64 x (*.f64 (/.f64 z t) y))))
(/.f64 1 (/.f64 (+.f64 x 2) (*.f64 (+.f64 x 2) x)))
(-.f64 (*.f64 -1/2 (/.f64 (*.f64 z z) (/.f64 t y))) (/.f64 z (/.f64 t y)))
(-.f64 x (+.f64 (/.f64 y (/.f64 t z)) (*.f64 1/2 (/.f64 y (/.f64 t (*.f64 z z))))))
(-.f64 x (+.f64 (/.f64 (*.f64 y z) t) (/.f64 (*.f64 1/2 (*.f64 y (*.f64 z z))) t)))
(sqrt.f64 (*.f64 x x))
(*.f64 (expm1.f64 z) (neg.f64 (/.f64 y t)))
(*.f64 (/.f64 (neg.f64 y) t) (expm1.f64 z))
(/.f64 (neg.f64 (expm1.f64 z)) (/.f64 t y))
Outputs
x
(-.f64 x (/.f64 y (/.f64 t z)))
Calls

4 calls:

102.0ms
z
69.0ms
t
62.0ms
x
47.0ms
y
Results
ErrorSegmentsBranch
15.4b2x
15.5b4y
14.2b2z
15.8b2t
Compiler

Compiled 269 to 133 computations (50.6% saved)

bsearch92.0ms (0.5%)

Algorithm
binary-search
Steps
TimeLeftRight
91.0ms
-16214685738.33497
-3295.9889519665176
Results
68.0ms109×body256valid
12.0ms20×body1024valid
5.0ms15×body512valid
5.0ms38×body256invalid
Compiler

Compiled 186 to 135 computations (27.4% saved)

regimes109.0ms (0.6%)

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

4 calls:

48.0ms
x
33.0ms
z
15.0ms
t
10.0ms
y
Results
ErrorSegmentsBranch
15.5b2x
17.1b2y
14.2b2z
15.8b2t
Compiler

Compiled 74 to 42 computations (43.2% saved)

bsearch101.0ms (0.6%)

Algorithm
binary-search
Steps
TimeLeftRight
101.0ms
-16214685738.33497
-3295.9889519665176
Results
59.0ms20×body512valid
18.0ms102×body256valid
17.0ms22×body1024valid
5.0ms37×body256invalid
Compiler

Compiled 186 to 135 computations (27.4% saved)

regimes65.0ms (0.4%)

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

4 calls:

41.0ms
t
13.0ms
x
5.0ms
z
5.0ms
y
Results
ErrorSegmentsBranch
19.2b3x
21.0b1y
21.0b1z
19.8b3t
Compiler

Compiled 60 to 38 computations (36.7% saved)

bsearch158.0ms (0.9%)

Algorithm
binary-search
Steps
TimeLeftRight
52.0ms
1.094399903729089e-252
6.69933525972336e-248
106.0ms
-4.243687993168969e-203
-9.551128696268547e-209
Results
72.0ms99×body1024valid
55.0ms32×body2048valid
15.0ms98×body256valid
13.0ms43×body512valid
Compiler

Compiled 313 to 239 computations (23.6% saved)

regimes14.0ms (0.1%)

Accuracy

Total -12.1b remaining (-57.6%)

Threshold costs -12.1b (-57.6%)

Counts
2 → 1
Calls
Call 1
Inputs
x
(-.f64 (+.f64 1 x) 1)
Outputs
x
Calls

4 calls:

4.0ms
y
3.0ms
t
3.0ms
z
3.0ms
x
Results
ErrorSegmentsBranch
21.0b1x
21.0b1y
21.0b1z
21.0b1t
Compiler

Compiled 30 to 24 computations (20% saved)

simplify14.0ms (0.1%)

Algorithm
egg-herbie
Rules
42×+-commutative
36×*-commutative
32×sub-neg
24×neg-mul-1
24×neg-sub0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
060283
199283
2137283
3160283
4175283
5180283
6181283
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(if (<=.f64 y -3978585891278293/3978585891278293137243057985174566720803649206378781739523711815145275976100267004264448) (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) (if (<=.f64 y 6805647338418769/680564733841876926926749214863536422912) (-.f64 x (/.f64 (expm1.f64 z) (/.f64 t y))) (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))))
(if (<=.f64 y -3486039150627631/633825300114114700748351602688) (-.f64 x (/.f64 1 (+.f64 (/.f64 t (*.f64 (expm1.f64 z) y)) (*.f64 t 1/2)))) (if (<=.f64 y 6696928794914171/669692879491417075592765655662501131600878007315958504652343992731469406953085076558248986759809911329746670573470716765741965803557696277249036098418660925245910485926514436588817162816398196367372136384565404686473871329212422972447846496629816432160699779855408885478776864478289024177325354254336) (-.f64 x (/.f64 (expm1.f64 z) (/.f64 t y))) (-.f64 x (/.f64 1 (+.f64 (/.f64 t (*.f64 (expm1.f64 z) y)) (*.f64 t 1/2))))))
(-.f64 x (*.f64 (/.f64 (expm1.f64 z) t) y))
(if (<=.f64 z -3500) x (-.f64 x (/.f64 y (/.f64 t z))))
(if (<=.f64 z -6400) x (-.f64 x (*.f64 y (/.f64 z t))))
(if (<=.f64 x -2089770329444081/11296055834832869987796435368818511453405415647406310098733607723450775321444793999623495683980919987883591461993135986312493187463513563790506212353947784425723184365930864482290528289970814110895029437915338121462939648) x (if (<=.f64 x 6810046690420685/2063650512248692368563827284830142994214247367328599695812346519635444931862206482321942405811160890213571855442410658901884170154307365379884917884620857722298385484371113610034107490923540785363375909797699954703703235518560788042337487885808736236287260081631789056) (neg.f64 (/.f64 y (/.f64 t z))) x))
x
Outputs
(if (<=.f64 y -3978585891278293/3978585891278293137243057985174566720803649206378781739523711815145275976100267004264448) (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) (if (<=.f64 y 6805647338418769/680564733841876926926749214863536422912) (-.f64 x (/.f64 (expm1.f64 z) (/.f64 t y))) (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))))
(if (or (<=.f64 y -3978585891278293/3978585891278293137243057985174566720803649206378781739523711815145275976100267004264448) (not (<=.f64 y 6805647338418769/680564733841876926926749214863536422912))) (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) (-.f64 x (/.f64 (expm1.f64 z) (/.f64 t y))))
(if (<=.f64 y -3486039150627631/633825300114114700748351602688) (-.f64 x (/.f64 1 (+.f64 (/.f64 t (*.f64 (expm1.f64 z) y)) (*.f64 t 1/2)))) (if (<=.f64 y 6696928794914171/669692879491417075592765655662501131600878007315958504652343992731469406953085076558248986759809911329746670573470716765741965803557696277249036098418660925245910485926514436588817162816398196367372136384565404686473871329212422972447846496629816432160699779855408885478776864478289024177325354254336) (-.f64 x (/.f64 (expm1.f64 z) (/.f64 t y))) (-.f64 x (/.f64 1 (+.f64 (/.f64 t (*.f64 (expm1.f64 z) y)) (*.f64 t 1/2))))))
(if (or (<=.f64 y -3486039150627631/633825300114114700748351602688) (not (<=.f64 y 6696928794914171/669692879491417075592765655662501131600878007315958504652343992731469406953085076558248986759809911329746670573470716765741965803557696277249036098418660925245910485926514436588817162816398196367372136384565404686473871329212422972447846496629816432160699779855408885478776864478289024177325354254336))) (-.f64 x (/.f64 1 (+.f64 (/.f64 t (*.f64 y (expm1.f64 z))) (*.f64 t 1/2)))) (-.f64 x (/.f64 (expm1.f64 z) (/.f64 t y))))
(-.f64 x (*.f64 (/.f64 (expm1.f64 z) t) y))
(-.f64 x (*.f64 y (/.f64 (expm1.f64 z) t)))
(if (<=.f64 z -3500) x (-.f64 x (/.f64 y (/.f64 t z))))
(if (<=.f64 z -6400) x (-.f64 x (*.f64 y (/.f64 z t))))
(if (<=.f64 x -2089770329444081/11296055834832869987796435368818511453405415647406310098733607723450775321444793999623495683980919987883591461993135986312493187463513563790506212353947784425723184365930864482290528289970814110895029437915338121462939648) x (if (<=.f64 x 6810046690420685/2063650512248692368563827284830142994214247367328599695812346519635444931862206482321942405811160890213571855442410658901884170154307365379884917884620857722298385484371113610034107490923540785363375909797699954703703235518560788042337487885808736236287260081631789056) (neg.f64 (/.f64 y (/.f64 t z))) x))
(if (<=.f64 x -2089770329444081/11296055834832869987796435368818511453405415647406310098733607723450775321444793999623495683980919987883591461993135986312493187463513563790506212353947784425723184365930864482290528289970814110895029437915338121462939648) x (if (<=.f64 x 6810046690420685/2063650512248692368563827284830142994214247367328599695812346519635444931862206482321942405811160890213571855442410658901884170154307365379884917884620857722298385484371113610034107490923540785363375909797699954703703235518560788042337487885808736236287260081631789056) (/.f64 (neg.f64 y) (/.f64 t z)) x))
x
Compiler

Compiled 134 to 87 computations (35.1% saved)

soundness668.0ms (3.7%)

Algorithm
egg-herbie
Rules
1090×associate-*r*
924×fma-def
924×fma-def
920×*-commutative
920×*-commutative
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
01539
12535
25133
39833
420527
550627
6100527
7124027
8135327
9163227
10244927
11490527
12555727
13609627
14687927
15766227
01539
12535
25133
39833
420527
550627
6100527
7124027
8135327
9163227
10244927
11490527
12555727
13609627
14687927
15766227
065016946
1185616234
Stop Event
node limit
node limit
node limit
Compiler

Compiled 216 to 122 computations (43.5% saved)

end56.0ms (0.3%)

Compiler

Compiled 110 to 56 computations (49.1% saved)

Profiling

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