Details

Time bar (total: 15.3s)

analyze482.0ms (3.1%)

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

Compiled 18 to 13 computations (27.8% saved)

sample6.5s (42.2%)

Results
1.9s1599×body8192exit
1.8s1892×body1024valid
1.3s4661×body256valid
652.0ms1400×body512valid
335.0ms303×body2048valid
277.0ms2060×body256invalid
178.0ms221×body1024invalid
66.0ms240×body512invalid
3.0ms22×body256infinite
1.0msbody1024infinite
0.0msbody512infinite
Bogosity

preprocess94.0ms (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)

simplify183.0ms (1.2%)

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
1.3b
Counts
6 → 1
Alt Table
Click to see full alt table
StatusErrorProgram
1.3b
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))
Compiler

Compiled 13 to 9 computations (30.8% saved)

localize12.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(*.f64 y (expm1.f64 z))
0.5b
(log1p.f64 (*.f64 y (expm1.f64 z)))
2.7b
(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)
Compiler

Compiled 35 to 9 computations (74.3% saved)

series110.0ms (0.7%)

Counts
3 → 84
Calls

21 calls:

TimeVariablePointExpression
38.0ms
t
@-inf
(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)
24.0ms
z
@inf
(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)
21.0ms
z
@-inf
(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)
15.0ms
t
@0
(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)
6.0ms
t
@inf
(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)

rewrite72.0ms (0.5%)

Algorithm
batch-egg-rewrite
Rules
1956×add-sqr-sqrt
1944×*-un-lft-identity
1796×add-cube-cbrt
1768×add-cbrt-cube
200×pow1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01047
119747
2242647
Stop Event
node limit
Counts
3 → 61
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))
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 (log1p.f64 (*.f64 y (expm1.f64 z))) (/.f64 1 t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (*.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (/.f64 1 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) (sqrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 2) (*.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (/.f64 1 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 2) (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 t) (log1p.f64 (*.f64 y (expm1.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (/.f64 1 (neg.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (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 (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)))) (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 (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 (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 (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 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 pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))))) (#(struct:change #<rule egg-rr> (2) ((x 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 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log1p.f64 (*.f64 y (expm1.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (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 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 2) (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 (*.f64 y (expm1.f64 z)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 y (expm1.f64 z)) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y (expm1.f64 z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 y (expm1.f64 z))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 y (expm1.f64 z))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 y (expm1.f64 z)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 y (expm1.f64 z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 y) (expm1.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 y (expm1.f64 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 y (expm1.f64 z)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 y (expm1.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 y (expm1.f64 z))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 y (expm1.f64 z))))))))

simplify82.0ms (0.5%)

Algorithm
egg-herbie
Rules
1790×associate-/r*
1506×associate-*r/
1190×associate-*l/
1096×associate-+l+
858×associate-+r+
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02964585
18134321
235274321
Stop Event
node limit
Counts
145 → 200
Calls
Call 1
Inputs
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(+.f64 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t) (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (pow.f64 y 2)) t)))
(+.f64 (*.f64 1/3 (/.f64 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 3) (pow.f64 y 3)) t)) (+.f64 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t) (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (pow.f64 y 2)) t))))
(+.f64 (*.f64 -1/4 (/.f64 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 4) (pow.f64 y 4)) t)) (+.f64 (*.f64 1/3 (/.f64 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 3) (pow.f64 y 3)) t)) (+.f64 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t) (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (pow.f64 y 2)) t)))))
(/.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) t)
(+.f64 (/.f64 (log.f64 (-.f64 (exp.f64 z) 1)) t) (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 y)) t)) (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) (*.f64 y t)))))
(-.f64 (+.f64 (/.f64 (log.f64 (-.f64 (exp.f64 z) 1)) t) (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 y)) t)) (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) (*.f64 y t))))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (*.f64 (pow.f64 y 2) t)))))
(-.f64 (+.f64 (/.f64 (log.f64 (-.f64 (exp.f64 z) 1)) t) (+.f64 (*.f64 1/3 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 3) (*.f64 (pow.f64 y 3) t)))) (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 y)) t)) (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) (*.f64 y t)))))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (*.f64 (pow.f64 y 2) t)))))
(/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1)))) t)
(+.f64 (/.f64 (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1))) t) (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 y)) t)) (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) (*.f64 y t)))))
(-.f64 (+.f64 (/.f64 (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1))) t) (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 y)) t)) (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) (*.f64 y t))))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (*.f64 (pow.f64 y 2) t)))))
(-.f64 (+.f64 (/.f64 (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1))) t) (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 y)) t)) (+.f64 (*.f64 1/3 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 3) (*.f64 (pow.f64 y 3) t)))) (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) (*.f64 y t)))))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (*.f64 (pow.f64 y 2) t)))))
(/.f64 (*.f64 y z) t)
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 z 2) (+.f64 (*.f64 -1 (pow.f64 y 2)) y)) t)) (/.f64 (*.f64 y z) t))
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 z 2) (+.f64 (*.f64 -1 (pow.f64 y 2)) y)) t)) (+.f64 (*.f64 1/6 (/.f64 (*.f64 (+.f64 y (+.f64 (*.f64 -3 (pow.f64 y 2)) (*.f64 2 (pow.f64 y 3)))) (pow.f64 z 3)) t)) (/.f64 (*.f64 y z) t)))
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 z 2) (+.f64 (*.f64 -1 (pow.f64 y 2)) y)) t)) (+.f64 (*.f64 1/6 (/.f64 (*.f64 (+.f64 y (+.f64 (*.f64 -3 (pow.f64 y 2)) (*.f64 2 (pow.f64 y 3)))) (pow.f64 z 3)) t)) (+.f64 (/.f64 (*.f64 y z) t) (*.f64 1/24 (/.f64 (*.f64 (+.f64 y (+.f64 (*.f64 -3 (pow.f64 y 2)) (+.f64 (*.f64 12 (pow.f64 y 3)) (+.f64 (*.f64 -4 (pow.f64 y 2)) (*.f64 -6 (pow.f64 y 4)))))) (pow.f64 z 4)) t)))))
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)
(*.f64 (-.f64 (exp.f64 z) 1) y)
(+.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) (*.f64 -1/2 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (pow.f64 y 2))))
(+.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (pow.f64 y 2))) (*.f64 1/3 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 3) (pow.f64 y 3)))))
(+.f64 (*.f64 -1/4 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 4) (pow.f64 y 4))) (+.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (pow.f64 y 2))) (*.f64 1/3 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 3) (pow.f64 y 3))))))
(+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y))))
(+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (+.f64 (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y)) (*.f64 -1 (log.f64 (/.f64 1 y)))))
(-.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (+.f64 (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y)) (*.f64 -1 (log.f64 (/.f64 1 y))))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (pow.f64 y 2)))))
(-.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (+.f64 (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y)) (+.f64 (*.f64 1/3 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 3) (pow.f64 y 3)))) (*.f64 -1 (log.f64 (/.f64 1 y)))))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (pow.f64 y 2)))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (+.f64 (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y)) (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1)))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (+.f64 (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y)) (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1))))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (pow.f64 y 2)))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (+.f64 (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y)) (+.f64 (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1))) (*.f64 1/3 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 3) (pow.f64 y 3))))))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (pow.f64 y 2)))))
(*.f64 y z)
(+.f64 (*.f64 y z) (*.f64 1/2 (*.f64 (pow.f64 z 2) (+.f64 (*.f64 -1 (pow.f64 y 2)) y))))
(+.f64 (*.f64 y z) (+.f64 (*.f64 1/6 (*.f64 (+.f64 (*.f64 -3 (pow.f64 y 2)) (+.f64 y (*.f64 2 (pow.f64 y 3)))) (pow.f64 z 3))) (*.f64 1/2 (*.f64 (pow.f64 z 2) (+.f64 (*.f64 -1 (pow.f64 y 2)) y)))))
(+.f64 (*.f64 y z) (+.f64 (*.f64 1/6 (*.f64 (+.f64 (*.f64 -3 (pow.f64 y 2)) (+.f64 y (*.f64 2 (pow.f64 y 3)))) (pow.f64 z 3))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 z 2) (+.f64 (*.f64 -1 (pow.f64 y 2)) y))) (*.f64 1/24 (*.f64 (+.f64 (*.f64 -3 (pow.f64 y 2)) (+.f64 y (+.f64 (*.f64 12 (pow.f64 y 3)) (+.f64 (*.f64 -4 (pow.f64 y 2)) (*.f64 -6 (pow.f64 y 4)))))) (pow.f64 z 4))))))
(log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y)))
(log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y)))
(log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y)))
(log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y)))
(log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y)))
(log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y)))
(log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y)))
(log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y)))
(*.f64 (-.f64 (exp.f64 z) 1) y)
(*.f64 (-.f64 (exp.f64 z) 1) y)
(*.f64 (-.f64 (exp.f64 z) 1) y)
(*.f64 (-.f64 (exp.f64 z) 1) y)
(*.f64 (-.f64 (exp.f64 z) 1) y)
(*.f64 (-.f64 (exp.f64 z) 1) y)
(*.f64 (-.f64 (exp.f64 z) 1) y)
(*.f64 (-.f64 (exp.f64 z) 1) y)
(*.f64 (-.f64 (exp.f64 z) 1) y)
(*.f64 (-.f64 (exp.f64 z) 1) y)
(*.f64 (-.f64 (exp.f64 z) 1) y)
(*.f64 (-.f64 (exp.f64 z) 1) y)
(*.f64 y z)
(+.f64 (*.f64 y z) (*.f64 1/2 (*.f64 y (pow.f64 z 2))))
(+.f64 (*.f64 y z) (+.f64 (*.f64 1/2 (*.f64 y (pow.f64 z 2))) (*.f64 1/6 (*.f64 y (pow.f64 z 3)))))
(+.f64 (*.f64 y z) (+.f64 (*.f64 1/2 (*.f64 y (pow.f64 z 2))) (+.f64 (*.f64 1/24 (*.f64 y (pow.f64 z 4))) (*.f64 1/6 (*.f64 y (pow.f64 z 3))))))
(*.f64 (-.f64 (exp.f64 z) 1) y)
(*.f64 (-.f64 (exp.f64 z) 1) y)
(*.f64 (-.f64 (exp.f64 z) 1) y)
(*.f64 (-.f64 (exp.f64 z) 1) y)
(*.f64 (-.f64 (exp.f64 z) 1) y)
(*.f64 (-.f64 (exp.f64 z) 1) y)
(*.f64 (-.f64 (exp.f64 z) 1) y)
(*.f64 (-.f64 (exp.f64 z) 1) y)
(-.f64 (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 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 1)
(*.f64 1 (/.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)))) (/.f64 1 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 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 2) (*.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (/.f64 1 t)))
(*.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 (/.f64 1 t) (log1p.f64 (*.f64 y (expm1.f64 z))))
(*.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (/.f64 1 (neg.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 (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)))) (pow.f64 (cbrt.f64 t) 2)) (/.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (cbrt.f64 t)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 2) 1) (/.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) t))
(*.f64 (/.f64 (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 (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)))
(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))) (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 (/.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 (log1p.f64 (*.f64 y (expm1.f64 z))))) 1)
(*.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 1)
(*.f64 1 (log1p.f64 (*.f64 y (expm1.f64 z))))
(*.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))))
(*.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 2) (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))))
(pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 1)
(pow.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 2)
(pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 3)
(pow.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 3) 1/3)
(sqrt.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 2))
(log.f64 (+.f64 (*.f64 y (expm1.f64 z)) 1))
(cbrt.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 3))
(expm1.f64 (log1p.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))))
(exp.f64 (log.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 1))
(-.f64 (+.f64 (*.f64 y (expm1.f64 z)) 1) 1)
(pow.f64 (*.f64 y (expm1.f64 z)) 1)
(pow.f64 (sqrt.f64 (*.f64 y (expm1.f64 z))) 2)
(pow.f64 (cbrt.f64 (*.f64 y (expm1.f64 z))) 3)
(pow.f64 (pow.f64 (*.f64 y (expm1.f64 z)) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 y (expm1.f64 z)) 2))
(log.f64 (pow.f64 (exp.f64 y) (expm1.f64 z)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 y (expm1.f64 z)))))
(cbrt.f64 (pow.f64 (*.f64 y (expm1.f64 z)) 3))
(expm1.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))
(exp.f64 (log.f64 (*.f64 y (expm1.f64 z))))
(exp.f64 (*.f64 (log.f64 (*.f64 y (expm1.f64 z))) 1))
(log1p.f64 (expm1.f64 (*.f64 y (expm1.f64 z))))
Outputs
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (expm1.f64 z) (/.f64 t y))
(*.f64 (/.f64 (expm1.f64 z) t) y)
(+.f64 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t) (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (pow.f64 y 2)) t)))
(+.f64 (/.f64 (expm1.f64 z) (/.f64 t y)) (*.f64 -1/2 (/.f64 (pow.f64 (expm1.f64 z) 2) (/.f64 t (*.f64 y y)))))
(fma.f64 -1/2 (/.f64 (pow.f64 (*.f64 (expm1.f64 z) y) 2) t) (/.f64 (expm1.f64 z) (/.f64 t y)))
(fma.f64 -1/2 (/.f64 (pow.f64 (*.f64 (expm1.f64 z) y) 2) t) (*.f64 (/.f64 (expm1.f64 z) t) y))
(+.f64 (*.f64 1/3 (/.f64 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 3) (pow.f64 y 3)) t)) (+.f64 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t) (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (pow.f64 y 2)) t))))
(fma.f64 1/3 (/.f64 (pow.f64 (*.f64 (expm1.f64 z) y) 3) t) (+.f64 (/.f64 (expm1.f64 z) (/.f64 t y)) (*.f64 -1/2 (/.f64 (pow.f64 (expm1.f64 z) 2) (/.f64 t (*.f64 y y))))))
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(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 (log1p.f64 (*.f64 y (expm1.f64 z))))) 1)
(log1p.f64 (*.f64 (expm1.f64 z) y))
(*.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 1)
(log1p.f64 (*.f64 (expm1.f64 z) y))
(*.f64 1 (log1p.f64 (*.f64 y (expm1.f64 z))))
(log1p.f64 (*.f64 (expm1.f64 z) y))
(*.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))))
(log1p.f64 (*.f64 (expm1.f64 z) y))
(*.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 2))
(log1p.f64 (*.f64 (expm1.f64 z) y))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 2) (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))))
(log1p.f64 (*.f64 (expm1.f64 z) y))
(pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 1)
(log1p.f64 (*.f64 (expm1.f64 z) y))
(pow.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 2)
(log1p.f64 (*.f64 (expm1.f64 z) y))
(pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 3)
(log1p.f64 (*.f64 (expm1.f64 z) y))
(pow.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 3) 1/3)
(log1p.f64 (*.f64 (expm1.f64 z) y))
(sqrt.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 2))
(sqrt.f64 (pow.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) 2))
(fabs.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)))
(log.f64 (+.f64 (*.f64 y (expm1.f64 z)) 1))
(log1p.f64 (*.f64 (expm1.f64 z) y))
(cbrt.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 3))
(log1p.f64 (*.f64 (expm1.f64 z) y))
(expm1.f64 (log1p.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))))
(log1p.f64 (*.f64 (expm1.f64 z) y))
(exp.f64 (log.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))))
(log1p.f64 (*.f64 (expm1.f64 z) y))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 1))
(log1p.f64 (*.f64 (expm1.f64 z) y))
(-.f64 (+.f64 (*.f64 y (expm1.f64 z)) 1) 1)
(*.f64 (expm1.f64 z) y)
(pow.f64 (*.f64 y (expm1.f64 z)) 1)
(*.f64 (expm1.f64 z) y)
(pow.f64 (sqrt.f64 (*.f64 y (expm1.f64 z))) 2)
(*.f64 (expm1.f64 z) y)
(pow.f64 (cbrt.f64 (*.f64 y (expm1.f64 z))) 3)
(*.f64 (expm1.f64 z) y)
(pow.f64 (pow.f64 (*.f64 y (expm1.f64 z)) 3) 1/3)
(*.f64 (expm1.f64 z) y)
(sqrt.f64 (pow.f64 (*.f64 y (expm1.f64 z)) 2))
(sqrt.f64 (pow.f64 (*.f64 (expm1.f64 z) y) 2))
(fabs.f64 (*.f64 (expm1.f64 z) y))
(log.f64 (pow.f64 (exp.f64 y) (expm1.f64 z)))
(*.f64 (expm1.f64 z) y)
(log.f64 (+.f64 1 (expm1.f64 (*.f64 y (expm1.f64 z)))))
(*.f64 (expm1.f64 z) y)
(cbrt.f64 (pow.f64 (*.f64 y (expm1.f64 z)) 3))
(*.f64 (expm1.f64 z) y)
(expm1.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))
(*.f64 (expm1.f64 z) y)
(exp.f64 (log.f64 (*.f64 y (expm1.f64 z))))
(*.f64 (expm1.f64 z) y)
(exp.f64 (*.f64 (log.f64 (*.f64 y (expm1.f64 z))) 1))
(*.f64 (expm1.f64 z) y)
(log1p.f64 (expm1.f64 (*.f64 y (expm1.f64 z))))
(*.f64 (expm1.f64 z) y)

eval62.0ms (0.4%)

Compiler

Compiled 4796 to 2362 computations (50.8% saved)

prune56.0ms (0.4%)

Pruning

17 alts after pruning (16 fresh and 1 done)

PrunedKeptTotal
New18416200
Fresh000
Picked011
Done000
Total18417201
Error
0.2b
Counts
201 → 17
Alt Table
Click to see full alt table
StatusErrorProgram
1.3b
(-.f64 x (pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) -1))
26.1b
(-.f64 x (pow.f64 (sqrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 2))
1.7b
(-.f64 x (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 3))
26.8b
(-.f64 x (/.f64 (fma.f64 z y (*.f64 1/2 (*.f64 z (*.f64 z (-.f64 y (*.f64 y y)))))) t))
54.7b
(-.f64 x (/.f64 (+.f64 (log.f64 (expm1.f64 z)) (neg.f64 (neg.f64 (log.f64 y)))) t))
18.0b
(-.f64 x (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
11.9b
(-.f64 x (/.f64 (*.f64 (expm1.f64 z) y) t))
18.7b
(-.f64 x (/.f64 (*.f64 z y) t))
1.3b
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))
20.0b
(-.f64 x (/.f64 (exp.f64 (log.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) t))
5.8b
(-.f64 x (/.f64 (cbrt.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 3)) t))
19.9b
(-.f64 x (/.f64 z (/.f64 t y)))
18.1b
(-.f64 x (/.f64 y (/.f64 t z)))
11.2b
(-.f64 x (*.f64 (/.f64 (expm1.f64 z) t) y))
20.1b
(-.f64 x (*.f64 (/.f64 y t) z))
35.0b
(-.f64 x (*.f64 (/.f64 1 (sqrt.f64 t)) (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (sqrt.f64 t))))
1.6b
(-.f64 x (*.f64 (/.f64 1 t) (log1p.f64 (*.f64 y (expm1.f64 z)))))
Compiler

Compiled 477 to 331 computations (30.6% saved)

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(*.f64 y (expm1.f64 z))
0.5b
(log1p.f64 (*.f64 y (expm1.f64 z)))
0.6b
(pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) -1)
2.3b
(/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z))))
Compiler

Compiled 47 to 14 computations (70.2% saved)

series38.0ms (0.2%)

Counts
2 → 72
Calls

18 calls:

TimeVariablePointExpression
18.0ms
z
@0
(pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) -1)
7.0ms
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
y
@inf
(/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z))))
2.0ms
y
@-inf
(/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z))))

rewrite91.0ms (0.6%)

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
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 t (/.f64 1 (log1p.f64 (*.f64 y (expm1.f64 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) 1)))) (#(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 1 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 t) (/.f64 (sqrt.f64 t) (log1p.f64 (*.f64 y (expm1.f64 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z))))) (sqrt.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 t) 2) (/.f64 (cbrt.f64 t) (log1p.f64 (*.f64 y (expm1.f64 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 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(#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 t) (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) (/.f64 (pow.f64 (cbrt.f64 t) 2) (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 t) 2) (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 2)) (cbrt.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 2)) (cbrt.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 t) 2) (log1p.f64 (*.f64 y (expm1.f64 z)))) (cbrt.f64 t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (pow.f64 (cbrt.f64 t) 2))) (cbrt.f64 t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))))) (cbrt.f64 (/.f64 t 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simplify206.0ms (1.3%)

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))
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(/.f64 t (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))))
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(/.f64 t (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1)))))
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(/.f64 t (*.f64 y z))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 t (+.f64 (*.f64 -1 (pow.f64 y 2)) y)) (pow.f64 y 2))) (/.f64 t (*.f64 y z)))
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(/.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))))
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(/.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))))))
(fma.f64 -1 (/.f64 (fma.f64 -1/2 (/.f64 (/.f64 t (pow.f64 (expm1.f64 z) 2)) (pow.f64 (+.f64 (log.f64 (expm1.f64 z)) (neg.f64 (neg.f64 (log.f64 y)))) 2)) (/.f64 (neg.f64 t) (*.f64 (pow.f64 (expm1.f64 z) 2) (pow.f64 (+.f64 (log.f64 (expm1.f64 z)) (neg.f64 (neg.f64 (log.f64 y)))) 3)))) (*.f64 y y)) (+.f64 (/.f64 t (+.f64 (log.f64 (expm1.f64 z)) (neg.f64 (neg.f64 (log.f64 y))))) (/.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)))))
(fma.f64 -1 (/.f64 (fma.f64 -1/2 (/.f64 (/.f64 t (pow.f64 (expm1.f64 z) 2)) (pow.f64 (+.f64 (log.f64 (expm1.f64 z)) (neg.f64 (neg.f64 (log.f64 y)))) 2)) (/.f64 (neg.f64 t) (*.f64 (pow.f64 (expm1.f64 z) 2) (pow.f64 (+.f64 (log.f64 (expm1.f64 z)) (neg.f64 (neg.f64 (log.f64 y)))) 3)))) (*.f64 y y)) (+.f64 (/.f64 t (+.f64 (log.f64 (expm1.f64 z)) (neg.f64 (neg.f64 (log.f64 y))))) (/.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 -1 (/.f64 (+.f64 (*.f64 1/2 (/.f64 t (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 3) (pow.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) 3)))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/2 (/.f64 t (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (pow.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) 2)))) (*.f64 -1 (/.f64 t (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (pow.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) 3))))) (*.f64 (-.f64 (exp.f64 z) 1) (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y))))))) (*.f64 1/3 (/.f64 t (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 3) (pow.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) 2)))))) (pow.f64 y 3))) (+.f64 (/.f64 t (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y))))) (*.f64 -1 (/.f64 t (*.f64 (pow.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) 2) (*.f64 (-.f64 (exp.f64 z) 1) y)))))))
(fma.f64 -1 (/.f64 (fma.f64 -1/2 (/.f64 (/.f64 t (pow.f64 (expm1.f64 z) 2)) (pow.f64 (+.f64 (log.f64 (expm1.f64 z)) (neg.f64 (neg.f64 (log.f64 y)))) 2)) (/.f64 (neg.f64 t) (*.f64 (pow.f64 (expm1.f64 z) 2) (pow.f64 (+.f64 (log.f64 (expm1.f64 z)) (neg.f64 (neg.f64 (log.f64 y)))) 3)))) (*.f64 y y)) (fma.f64 -1 (/.f64 (fma.f64 1/2 (/.f64 (/.f64 t (pow.f64 (expm1.f64 z) 3)) (pow.f64 (+.f64 (log.f64 (expm1.f64 z)) (neg.f64 (neg.f64 (log.f64 y)))) 3)) (fma.f64 -1 (/.f64 (fma.f64 -1/2 (/.f64 (/.f64 t (pow.f64 (expm1.f64 z) 2)) (pow.f64 (+.f64 (log.f64 (expm1.f64 z)) (neg.f64 (neg.f64 (log.f64 y)))) 2)) (/.f64 (neg.f64 t) (*.f64 (pow.f64 (expm1.f64 z) 2) (pow.f64 (+.f64 (log.f64 (expm1.f64 z)) (neg.f64 (neg.f64 (log.f64 y)))) 3)))) (*.f64 (expm1.f64 z) (+.f64 (log.f64 (expm1.f64 z)) (neg.f64 (neg.f64 (log.f64 y)))))) (*.f64 1/3 (/.f64 t (*.f64 (pow.f64 (+.f64 (log.f64 (expm1.f64 z)) (neg.f64 (neg.f64 (log.f64 y)))) 2) (pow.f64 (expm1.f64 z) 3)))))) (pow.f64 y 3)) (+.f64 (/.f64 t (+.f64 (log.f64 (expm1.f64 z)) (neg.f64 (neg.f64 (log.f64 y))))) (/.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))))))
(fma.f64 -1 (/.f64 (fma.f64 -1/2 (/.f64 (/.f64 t (pow.f64 (expm1.f64 z) 2)) (pow.f64 (+.f64 (log.f64 (expm1.f64 z)) (neg.f64 (neg.f64 (log.f64 y)))) 2)) (/.f64 (neg.f64 t) (*.f64 (pow.f64 (expm1.f64 z) 2) (pow.f64 (+.f64 (log.f64 (expm1.f64 z)) (neg.f64 (neg.f64 (log.f64 y)))) 3)))) (*.f64 y y)) (fma.f64 -1 (/.f64 (fma.f64 1/2 (/.f64 (/.f64 t (pow.f64 (expm1.f64 z) 3)) (pow.f64 (+.f64 (log.f64 (expm1.f64 z)) (neg.f64 (neg.f64 (log.f64 y)))) 3)) (fma.f64 -1 (/.f64 (fma.f64 -1/2 (/.f64 (/.f64 t (pow.f64 (expm1.f64 z) 2)) (pow.f64 (+.f64 (log.f64 (expm1.f64 z)) (neg.f64 (neg.f64 (log.f64 y)))) 2)) (/.f64 (neg.f64 t) (*.f64 (pow.f64 (expm1.f64 z) 2) (pow.f64 (+.f64 (log.f64 (expm1.f64 z)) (neg.f64 (neg.f64 (log.f64 y)))) 3)))) (*.f64 (expm1.f64 z) (+.f64 (log.f64 (expm1.f64 z)) (neg.f64 (neg.f64 (log.f64 y)))))) (*.f64 1/3 (/.f64 (/.f64 t (pow.f64 (expm1.f64 z) 3)) (pow.f64 (+.f64 (log.f64 (expm1.f64 z)) (neg.f64 (neg.f64 (log.f64 y)))) 2))))) (pow.f64 y 3)) (+.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 t (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1)))))
(/.f64 t (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 (neg.f64 (expm1.f64 z)))))
(+.f64 (/.f64 t (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1))))) (*.f64 -1 (/.f64 t (*.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1)))) 2) (*.f64 (-.f64 (exp.f64 z) 1) y)))))
(+.f64 (/.f64 t (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 (neg.f64 (expm1.f64 z))))) (/.f64 (neg.f64 t) (*.f64 (*.f64 (expm1.f64 z) y) (pow.f64 (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 (neg.f64 (expm1.f64 z)))) 2))))
(+.f64 (/.f64 t (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 (neg.f64 (expm1.f64 z))))) (/.f64 (neg.f64 t) (*.f64 y (*.f64 (expm1.f64 z) (pow.f64 (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 (neg.f64 (expm1.f64 z)))) 2)))))
(+.f64 (/.f64 t (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1))))) (+.f64 (*.f64 -1 (/.f64 t (*.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1)))) 2) (*.f64 (-.f64 (exp.f64 z) 1) y)))) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (/.f64 t (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1)))) 3)))) (*.f64 -1/2 (/.f64 t (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1)))) 2))))) (pow.f64 y 2)))))
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(/.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (sqrt.f64 t)) (*.f64 (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 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 (pow.f64 (cbrt.f64 t) 2) (cbrt.f64 t)))
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.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)) (sqrt.f64 (cbrt.f64 t))) (sqrt.f64 (cbrt.f64 t)))
(/.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 1 expressions with local error:

NewErrorProgram
6.9b
(*.f64 (/.f64 y t) z)
Compiler

Compiled 23 to 7 computations (69.6% saved)

series3.0ms (0%)

Counts
1 → 36
Calls

9 calls:

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

rewrite76.0ms (0.5%)

Algorithm
batch-egg-rewrite
Rules
1570×add-sqr-sqrt
1558×*-un-lft-identity
1446×add-cube-cbrt
1422×add-cbrt-cube
1408×add-exp-log
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0713
114513
2191413
Stop Event
node limit
Counts
1 → 22
Calls
Call 1
Inputs
(*.f64 (/.f64 y t) z)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (/.f64 y t) z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 y (/.f64 t z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 z (/.f64 t y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 t (*.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y z) t)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.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 /.f64 (neg.f64 (*.f64 y z)) (neg.f64 t))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 y t) z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (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 sqrt.f64 (pow.f64 (*.f64 (/.f64 y t) z) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 z) (/.f64 y t)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 y t) z) 3))))) (#(struct:change #<rule egg-rr> (2) ((x 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)))))))

simplify56.0ms (0.4%)

Algorithm
egg-herbie
Rules
1548×distribute-rgt-in
1534×distribute-lft-in
954×associate-*r*
816×associate-*l*
506×associate-+l+
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
060754
1142754
2551754
33665754
Stop Event
node limit
Counts
58 → 24
Calls
Call 1
Inputs
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(-.f64 (+.f64 1 (*.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 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))
(/.f64 (neg.f64 (*.f64 y z)) (neg.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)
(sqrt.f64 (pow.f64 (*.f64 (/.f64 y t) z) 2))
(log.f64 (pow.f64 (exp.f64 z) (/.f64 y t)))
(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 (*.f64 y z) t)
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(/.f64 (*.f64 y z) t)
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(/.f64 (*.f64 y z) t)
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(/.f64 (*.f64 y z) t)
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(/.f64 (*.f64 y z) t)
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(/.f64 (*.f64 y z) t)
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(/.f64 (*.f64 y z) t)
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(/.f64 (*.f64 y z) t)
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(/.f64 (*.f64 y z) t)
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(/.f64 (*.f64 y z) t)
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(/.f64 (*.f64 y z) t)
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(/.f64 (*.f64 y z) t)
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(/.f64 (*.f64 y z) t)
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(/.f64 (*.f64 y z) t)
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(/.f64 (*.f64 y z) t)
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(/.f64 (*.f64 y z) t)
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(/.f64 (*.f64 y z) t)
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(/.f64 (*.f64 y z) t)
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(/.f64 (*.f64 y z) t)
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(/.f64 (*.f64 y z) t)
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(/.f64 (*.f64 y z) t)
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(/.f64 (*.f64 y z) t)
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(/.f64 (*.f64 y z) t)
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(/.f64 (*.f64 y z) t)
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(/.f64 (*.f64 y z) t)
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(/.f64 (*.f64 y z) t)
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(/.f64 (*.f64 y z) t)
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(/.f64 (*.f64 y z) t)
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(/.f64 (*.f64 y z) t)
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(/.f64 (*.f64 y z) t)
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(/.f64 (*.f64 y z) t)
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(/.f64 (*.f64 y z) t)
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(/.f64 (*.f64 y z) t)
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(/.f64 (*.f64 y z) t)
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(/.f64 (*.f64 y z) t)
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(/.f64 (*.f64 y z) t)
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(-.f64 (+.f64 1 (*.f64 (/.f64 y t) z)) 1)
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(/.f64 y (/.f64 t z))
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(/.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 (*.f64 y z) t)
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(/.f64 (*.f64 z (neg.f64 y)) (neg.f64 t))
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(/.f64 (*.f64 (neg.f64 y) z) (neg.f64 t))
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(/.f64 (/.f64 (*.f64 y z) 1) t)
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(/.f64 (/.f64 (*.f64 y z) (sqrt.f64 t)) (sqrt.f64 t))
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(/.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 (neg.f64 (*.f64 y z)) (neg.f64 t))
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(pow.f64 (*.f64 (/.f64 y t) z) 1)
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(pow.f64 (sqrt.f64 (*.f64 (/.f64 y t) z)) 2)
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(pow.f64 (cbrt.f64 (*.f64 (/.f64 y t) z)) 3)
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(pow.f64 (pow.f64 (*.f64 (/.f64 y t) z) 3) 1/3)
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(sqrt.f64 (pow.f64 (*.f64 (/.f64 y t) z) 2))
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(log.f64 (pow.f64 (exp.f64 z) (/.f64 y t)))
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 y t) z) 3))
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 y t) z)))
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(exp.f64 (log.f64 (*.f64 (/.f64 y t) z)))
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 y t) z)) 1))
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 y t) z)))
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(/.f64 (expm1.f64 z) t)
2.5b
(*.f64 (/.f64 (expm1.f64 z) t) y)
Compiler

Compiled 28 to 8 computations (71.4% saved)

series5.0ms (0%)

Counts
2 → 60
Calls

15 calls:

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

rewrite88.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
1876×add-sqr-sqrt
1864×*-un-lft-identity
1726×add-cube-cbrt
1698×add-cbrt-cube
186×pow1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0928
118028
2230128
Stop Event
node limit
Counts
2 → 56
Calls
Call 1
Inputs
(*.f64 (/.f64 (expm1.f64 z) t) y)
(/.f64 (expm1.f64 z) t)
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 (expm1.f64 z) (/.f64 t y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 y (/.f64 t (expm1.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 t (*.f64 (expm1.f64 z) y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (expm1.f64 z) y) t)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (neg.f64 (expm1.f64 z))) (neg.f64 t))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (expm1.f64 z)) y) (neg.f64 t))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (expm1.f64 z) y) 1) t)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (expm1.f64 z) y) (sqrt.f64 t)) (sqrt.f64 t))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (expm1.f64 z) y) (pow.f64 (cbrt.f64 t) 2)) (cbrt.f64 t))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (expm1.f64 z) y)) (neg.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 sqrt.f64 (pow.f64 (/.f64 (expm1.f64 z) (/.f64 t y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (expm1.f64 z) (/.f64 t y))))))) (#(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))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (expm1.f64 z) t))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (exp.f64 z) t) (/.f64 1 t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (expm1.f64 z) (/.f64 1 t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (expm1.f64 z) t) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (expm1.f64 z) t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (expm1.f64 z)) (*.f64 (sqrt.f64 (expm1.f64 z)) (/.f64 1 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (expm1.f64 z) t)) (sqrt.f64 (/.f64 (expm1.f64 z) t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (expm1.f64 z)) 2) (*.f64 (cbrt.f64 (expm1.f64 z)) (/.f64 1 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (expm1.f64 z) t)) (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 z) t)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 z) t)) 2) (cbrt.f64 (/.f64 (expm1.f64 z) t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 t) (expm1.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (expm1.f64 z)) (/.f64 1 (neg.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 t)) (/.f64 (expm1.f64 z) (sqrt.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 t) 2)) (/.f64 (expm1.f64 z) (cbrt.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (expm1.f64 z)) 1) (/.f64 (sqrt.f64 (expm1.f64 z)) t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (expm1.f64 z)) (pow.f64 (cbrt.f64 t) 2)) (/.f64 (sqrt.f64 (expm1.f64 z)) (cbrt.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 z)) 2) 1) (/.f64 (cbrt.f64 (expm1.f64 z)) t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 z)) 2) (sqrt.f64 t)) (/.f64 (cbrt.f64 (expm1.f64 z)) (sqrt.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 z)) 2) (pow.f64 (cbrt.f64 t) 2)) (cbrt.f64 (/.f64 (expm1.f64 z) t)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (expm1.f64 z) t) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (expm1.f64 z) t)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (expm1.f64 z) t)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (expm1.f64 z) t) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 t (expm1.f64 z)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (expm1.f64 z) (neg.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (expm1.f64 z) t) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (expm1.f64 z) t)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (expm1.f64 z) t))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (expm1.f64 z) t) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (expm1.f64 z) t)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (expm1.f64 z) t)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (expm1.f64 z) t)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (expm1.f64 z) t)))))))

simplify76.0ms (0.5%)

Algorithm
egg-herbie
Rules
1402×associate-*r/
1350×times-frac
976×associate-*l/
924×associate-/l*
724×unswap-sqr
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01681954
14041926
215951926
Stop Event
node limit
Counts
116 → 92
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 z t)
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 z 2) t)) (/.f64 z t))
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 z 2) t)) (+.f64 (/.f64 z t) (*.f64 1/6 (/.f64 (pow.f64 z 3) t))))
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 z 2) t)) (+.f64 (/.f64 z t) (+.f64 (*.f64 1/24 (/.f64 (pow.f64 z 4) t)) (*.f64 1/6 (/.f64 (pow.f64 z 3) t)))))
(/.f64 (-.f64 (exp.f64 z) 1) t)
(/.f64 (-.f64 (exp.f64 z) 1) t)
(/.f64 (-.f64 (exp.f64 z) 1) t)
(/.f64 (-.f64 (exp.f64 z) 1) t)
(/.f64 (-.f64 (exp.f64 z) 1) t)
(/.f64 (-.f64 (exp.f64 z) 1) t)
(/.f64 (-.f64 (exp.f64 z) 1) t)
(/.f64 (-.f64 (exp.f64 z) 1) t)
(/.f64 (-.f64 (exp.f64 z) 1) t)
(/.f64 (-.f64 (exp.f64 z) 1) t)
(/.f64 (-.f64 (exp.f64 z) 1) t)
(/.f64 (-.f64 (exp.f64 z) 1) t)
(/.f64 (-.f64 (exp.f64 z) 1) t)
(/.f64 (-.f64 (exp.f64 z) 1) t)
(/.f64 (-.f64 (exp.f64 z) 1) t)
(/.f64 (-.f64 (exp.f64 z) 1) t)
(/.f64 (-.f64 (exp.f64 z) 1) t)
(/.f64 (-.f64 (exp.f64 z) 1) t)
(/.f64 (-.f64 (exp.f64 z) 1) t)
(/.f64 (-.f64 (exp.f64 z) 1) t)
(-.f64 (exp.f64 (log1p.f64 (/.f64 (expm1.f64 z) (/.f64 t y)))) 1)
(/.f64 (expm1.f64 z) (/.f64 t y))
(/.f64 y (/.f64 t (expm1.f64 z)))
(/.f64 1 (/.f64 t (*.f64 (expm1.f64 z) y)))
(/.f64 (*.f64 (expm1.f64 z) y) t)
(/.f64 (*.f64 y (neg.f64 (expm1.f64 z))) (neg.f64 t))
(/.f64 (*.f64 (neg.f64 (expm1.f64 z)) y) (neg.f64 t))
(/.f64 (/.f64 (*.f64 (expm1.f64 z) y) 1) t)
(/.f64 (/.f64 (*.f64 (expm1.f64 z) y) (sqrt.f64 t)) (sqrt.f64 t))
(/.f64 (/.f64 (*.f64 (expm1.f64 z) y) (pow.f64 (cbrt.f64 t) 2)) (cbrt.f64 t))
(/.f64 (neg.f64 (*.f64 (expm1.f64 z) y)) (neg.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)
(sqrt.f64 (pow.f64 (/.f64 (expm1.f64 z) (/.f64 t y)) 2))
(log.f64 (exp.f64 (/.f64 (expm1.f64 z) (/.f64 t y))))
(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))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (expm1.f64 z) t))) 1)
(-.f64 (/.f64 (exp.f64 z) t) (/.f64 1 t))
(*.f64 (expm1.f64 z) (/.f64 1 t))
(*.f64 (/.f64 (expm1.f64 z) t) 1)
(*.f64 1 (/.f64 (expm1.f64 z) t))
(*.f64 (sqrt.f64 (expm1.f64 z)) (*.f64 (sqrt.f64 (expm1.f64 z)) (/.f64 1 t)))
(*.f64 (sqrt.f64 (/.f64 (expm1.f64 z) t)) (sqrt.f64 (/.f64 (expm1.f64 z) t)))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 z)) 2) (*.f64 (cbrt.f64 (expm1.f64 z)) (/.f64 1 t)))
(*.f64 (cbrt.f64 (/.f64 (expm1.f64 z) t)) (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 z) t)) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 z) t)) 2) (cbrt.f64 (/.f64 (expm1.f64 z) t)))
(*.f64 (/.f64 1 t) (expm1.f64 z))
(*.f64 (neg.f64 (expm1.f64 z)) (/.f64 1 (neg.f64 t)))
(*.f64 (/.f64 1 (sqrt.f64 t)) (/.f64 (expm1.f64 z) (sqrt.f64 t)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 t) 2)) (/.f64 (expm1.f64 z) (cbrt.f64 t)))
(*.f64 (/.f64 (sqrt.f64 (expm1.f64 z)) 1) (/.f64 (sqrt.f64 (expm1.f64 z)) t))
(*.f64 (/.f64 (sqrt.f64 (expm1.f64 z)) (pow.f64 (cbrt.f64 t) 2)) (/.f64 (sqrt.f64 (expm1.f64 z)) (cbrt.f64 t)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 z)) 2) 1) (/.f64 (cbrt.f64 (expm1.f64 z)) t))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 z)) 2) (sqrt.f64 t)) (/.f64 (cbrt.f64 (expm1.f64 z)) (sqrt.f64 t)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 z)) 2) (pow.f64 (cbrt.f64 t) 2)) (cbrt.f64 (/.f64 (expm1.f64 z) t)))
(pow.f64 (/.f64 (expm1.f64 z) t) 1)
(pow.f64 (sqrt.f64 (/.f64 (expm1.f64 z) t)) 2)
(pow.f64 (cbrt.f64 (/.f64 (expm1.f64 z) t)) 3)
(pow.f64 (pow.f64 (/.f64 (expm1.f64 z) t) 3) 1/3)
(pow.f64 (/.f64 t (expm1.f64 z)) -1)
(neg.f64 (/.f64 (expm1.f64 z) (neg.f64 t)))
(sqrt.f64 (pow.f64 (/.f64 (expm1.f64 z) t) 2))
(log.f64 (exp.f64 (/.f64 (expm1.f64 z) t)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (expm1.f64 z) t))))
(cbrt.f64 (pow.f64 (/.f64 (expm1.f64 z) t) 3))
(expm1.f64 (log1p.f64 (/.f64 (expm1.f64 z) t)))
(exp.f64 (log.f64 (/.f64 (expm1.f64 z) t)))
(exp.f64 (*.f64 (log.f64 (/.f64 (expm1.f64 z) t)) 1))
(log1p.f64 (expm1.f64 (/.f64 (expm1.f64 z) t)))
Outputs
(/.f64 (*.f64 y z) t)
(/.f64 y (/.f64 t z))
(*.f64 (/.f64 y t) z)
(*.f64 y (/.f64 z t))
(+.f64 (/.f64 (*.f64 y z) t) (*.f64 1/2 (/.f64 (*.f64 y (pow.f64 z 2)) t)))
(+.f64 (/.f64 y (/.f64 t z)) (*.f64 1/2 (/.f64 (*.f64 y (*.f64 z z)) t)))
(fma.f64 1/2 (*.f64 (/.f64 y t) (*.f64 z z)) (*.f64 (/.f64 y t) z))
(fma.f64 1/2 (*.f64 y (*.f64 (/.f64 z t) z)) (*.f64 y (/.f64 z 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 1/6 (/.f64 y (/.f64 t (pow.f64 z 3))) (+.f64 (/.f64 y (/.f64 t z)) (*.f64 1/2 (/.f64 (*.f64 y (*.f64 z z)) t))))
(fma.f64 1/6 (*.f64 (/.f64 y t) (pow.f64 z 3)) (fma.f64 1/2 (*.f64 (/.f64 y t) (*.f64 z z)) (*.f64 (/.f64 y t) z)))
(fma.f64 1/6 (*.f64 (pow.f64 z 3) (/.f64 y t)) (fma.f64 1/2 (*.f64 y (*.f64 (/.f64 z t) z)) (*.f64 y (/.f64 z 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)))))
(fma.f64 1/24 (/.f64 (*.f64 y (pow.f64 z 4)) t) (fma.f64 1/6 (/.f64 y (/.f64 t (pow.f64 z 3))) (+.f64 (/.f64 y (/.f64 t z)) (*.f64 1/2 (/.f64 (*.f64 y (*.f64 z z)) t)))))
(fma.f64 1/24 (*.f64 (/.f64 y t) (pow.f64 z 4)) (fma.f64 1/6 (*.f64 (/.f64 y t) (pow.f64 z 3)) (fma.f64 1/2 (*.f64 (/.f64 y t) (*.f64 z z)) (*.f64 (/.f64 y t) z))))
(fma.f64 1/24 (*.f64 (pow.f64 z 4) (/.f64 y t)) (fma.f64 1/6 (*.f64 (pow.f64 z 3) (/.f64 y t)) (fma.f64 1/2 (*.f64 y (*.f64 (/.f64 z t) z)) (*.f64 y (/.f64 z t)))))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (expm1.f64 z) (/.f64 t y))
(*.f64 (expm1.f64 z) (/.f64 y t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (expm1.f64 z) (/.f64 t y))
(*.f64 (expm1.f64 z) (/.f64 y t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (expm1.f64 z) (/.f64 t y))
(*.f64 (expm1.f64 z) (/.f64 y t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (expm1.f64 z) (/.f64 t y))
(*.f64 (expm1.f64 z) (/.f64 y t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (expm1.f64 z) (/.f64 t y))
(*.f64 (expm1.f64 z) (/.f64 y t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (expm1.f64 z) (/.f64 t y))
(*.f64 (expm1.f64 z) (/.f64 y t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (expm1.f64 z) (/.f64 t y))
(*.f64 (expm1.f64 z) (/.f64 y t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (expm1.f64 z) (/.f64 t y))
(*.f64 (expm1.f64 z) (/.f64 y t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (expm1.f64 z) (/.f64 t y))
(*.f64 (expm1.f64 z) (/.f64 y t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (expm1.f64 z) (/.f64 t y))
(*.f64 (expm1.f64 z) (/.f64 y t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (expm1.f64 z) (/.f64 t y))
(*.f64 (expm1.f64 z) (/.f64 y t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (expm1.f64 z) (/.f64 t y))
(*.f64 (expm1.f64 z) (/.f64 y t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (expm1.f64 z) (/.f64 t y))
(*.f64 (expm1.f64 z) (/.f64 y t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (expm1.f64 z) (/.f64 t y))
(*.f64 (expm1.f64 z) (/.f64 y t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (expm1.f64 z) (/.f64 t y))
(*.f64 (expm1.f64 z) (/.f64 y t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (expm1.f64 z) (/.f64 t y))
(*.f64 (expm1.f64 z) (/.f64 y t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (expm1.f64 z) (/.f64 t y))
(*.f64 (expm1.f64 z) (/.f64 y t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (expm1.f64 z) (/.f64 t y))
(*.f64 (expm1.f64 z) (/.f64 y t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (expm1.f64 z) (/.f64 t y))
(*.f64 (expm1.f64 z) (/.f64 y t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (expm1.f64 z) (/.f64 t y))
(*.f64 (expm1.f64 z) (/.f64 y t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (expm1.f64 z) (/.f64 t y))
(*.f64 (expm1.f64 z) (/.f64 y t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (expm1.f64 z) (/.f64 t y))
(*.f64 (expm1.f64 z) (/.f64 y t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (expm1.f64 z) (/.f64 t y))
(*.f64 (expm1.f64 z) (/.f64 y t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (expm1.f64 z) (/.f64 t y))
(*.f64 (expm1.f64 z) (/.f64 y t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (expm1.f64 z) (/.f64 t y))
(*.f64 (expm1.f64 z) (/.f64 y t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (expm1.f64 z) (/.f64 t y))
(*.f64 (expm1.f64 z) (/.f64 y t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (expm1.f64 z) (/.f64 t y))
(*.f64 (expm1.f64 z) (/.f64 y t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (expm1.f64 z) (/.f64 t y))
(*.f64 (expm1.f64 z) (/.f64 y t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (expm1.f64 z) (/.f64 t y))
(*.f64 (expm1.f64 z) (/.f64 y t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (expm1.f64 z) (/.f64 t y))
(*.f64 (expm1.f64 z) (/.f64 y t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (expm1.f64 z) (/.f64 t y))
(*.f64 (expm1.f64 z) (/.f64 y t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (expm1.f64 z) (/.f64 t y))
(*.f64 (expm1.f64 z) (/.f64 y t))
(/.f64 z t)
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 z 2) t)) (/.f64 z t))
(fma.f64 1/2 (/.f64 (*.f64 z z) t) (/.f64 z t))
(fma.f64 1/2 (/.f64 z (/.f64 t z)) (/.f64 z t))
(fma.f64 1/2 (*.f64 (/.f64 z t) z) (/.f64 z t))
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 z 2) t)) (+.f64 (/.f64 z t) (*.f64 1/6 (/.f64 (pow.f64 z 3) t))))
(+.f64 (fma.f64 1/2 (/.f64 (*.f64 z z) t) (/.f64 z t)) (*.f64 1/6 (/.f64 (pow.f64 z 3) t)))
(fma.f64 1/2 (/.f64 z (/.f64 t z)) (fma.f64 1/6 (/.f64 (pow.f64 z 3) t) (/.f64 z t)))
(fma.f64 1/2 (*.f64 (/.f64 z t) z) (fma.f64 1/6 (/.f64 (pow.f64 z 3) t) (/.f64 z t)))
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 z 2) t)) (+.f64 (/.f64 z t) (+.f64 (*.f64 1/24 (/.f64 (pow.f64 z 4) t)) (*.f64 1/6 (/.f64 (pow.f64 z 3) t)))))
(+.f64 (fma.f64 1/2 (/.f64 (*.f64 z z) t) (/.f64 z t)) (fma.f64 1/24 (/.f64 (pow.f64 z 4) t) (*.f64 1/6 (/.f64 (pow.f64 z 3) t))))
(+.f64 (fma.f64 1/2 (/.f64 z (/.f64 t z)) (/.f64 z t)) (fma.f64 1/24 (/.f64 (pow.f64 z 4) t) (*.f64 1/6 (/.f64 (pow.f64 z 3) t))))
(+.f64 (fma.f64 1/2 (*.f64 (/.f64 z t) z) (/.f64 z t)) (fma.f64 1/24 (/.f64 (pow.f64 z 4) t) (*.f64 (/.f64 1/6 t) (pow.f64 z 3))))
(/.f64 (-.f64 (exp.f64 z) 1) t)
(/.f64 (expm1.f64 z) t)
(/.f64 (-.f64 (exp.f64 z) 1) t)
(/.f64 (expm1.f64 z) t)
(/.f64 (-.f64 (exp.f64 z) 1) t)
(/.f64 (expm1.f64 z) t)
(/.f64 (-.f64 (exp.f64 z) 1) t)
(/.f64 (expm1.f64 z) t)
(/.f64 (-.f64 (exp.f64 z) 1) t)
(/.f64 (expm1.f64 z) t)
(/.f64 (-.f64 (exp.f64 z) 1) t)
(/.f64 (expm1.f64 z) t)
(/.f64 (-.f64 (exp.f64 z) 1) t)
(/.f64 (expm1.f64 z) t)
(/.f64 (-.f64 (exp.f64 z) 1) t)
(/.f64 (expm1.f64 z) t)
(/.f64 (-.f64 (exp.f64 z) 1) t)
(/.f64 (expm1.f64 z) t)
(/.f64 (-.f64 (exp.f64 z) 1) t)
(/.f64 (expm1.f64 z) t)
(/.f64 (-.f64 (exp.f64 z) 1) t)
(/.f64 (expm1.f64 z) t)
(/.f64 (-.f64 (exp.f64 z) 1) t)
(/.f64 (expm1.f64 z) t)
(/.f64 (-.f64 (exp.f64 z) 1) t)
(/.f64 (expm1.f64 z) t)
(/.f64 (-.f64 (exp.f64 z) 1) t)
(/.f64 (expm1.f64 z) t)
(/.f64 (-.f64 (exp.f64 z) 1) t)
(/.f64 (expm1.f64 z) t)
(/.f64 (-.f64 (exp.f64 z) 1) t)
(/.f64 (expm1.f64 z) t)
(/.f64 (-.f64 (exp.f64 z) 1) t)
(/.f64 (expm1.f64 z) t)
(/.f64 (-.f64 (exp.f64 z) 1) t)
(/.f64 (expm1.f64 z) t)
(/.f64 (-.f64 (exp.f64 z) 1) t)
(/.f64 (expm1.f64 z) t)
(/.f64 (-.f64 (exp.f64 z) 1) t)
(/.f64 (expm1.f64 z) t)
(-.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 (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 1 (/.f64 t (*.f64 (expm1.f64 z) y)))
(/.f64 (expm1.f64 z) (/.f64 t y))
(*.f64 (expm1.f64 z) (/.f64 y t))
(/.f64 (*.f64 (expm1.f64 z) y) t)
(/.f64 (expm1.f64 z) (/.f64 t y))
(*.f64 (expm1.f64 z) (/.f64 y t))
(/.f64 (*.f64 y (neg.f64 (expm1.f64 z))) (neg.f64 t))
(/.f64 (expm1.f64 z) (/.f64 t y))
(*.f64 (expm1.f64 z) (/.f64 y t))
(/.f64 (*.f64 (neg.f64 (expm1.f64 z)) y) (neg.f64 t))
(/.f64 (expm1.f64 z) (/.f64 t y))
(*.f64 (expm1.f64 z) (/.f64 y t))
(/.f64 (/.f64 (*.f64 (expm1.f64 z) y) 1) t)
(/.f64 (expm1.f64 z) (/.f64 t y))
(*.f64 (expm1.f64 z) (/.f64 y t))
(/.f64 (/.f64 (*.f64 (expm1.f64 z) y) (sqrt.f64 t)) (sqrt.f64 t))
(/.f64 (expm1.f64 z) (/.f64 t y))
(*.f64 (expm1.f64 z) (/.f64 y t))
(/.f64 (/.f64 (*.f64 (expm1.f64 z) y) (pow.f64 (cbrt.f64 t) 2)) (cbrt.f64 t))
(/.f64 (expm1.f64 z) (/.f64 t y))
(*.f64 (expm1.f64 z) (/.f64 y t))
(/.f64 (neg.f64 (*.f64 (expm1.f64 z) y)) (neg.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))
(sqrt.f64 (pow.f64 (/.f64 (expm1.f64 z) (/.f64 t y)) 2))
(fabs.f64 (*.f64 (expm1.f64 z) (/.f64 y t)))
(log.f64 (exp.f64 (/.f64 (expm1.f64 z) (/.f64 t y))))
(/.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))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (expm1.f64 z) t))) 1)
(/.f64 (expm1.f64 z) t)
(-.f64 (/.f64 (exp.f64 z) t) (/.f64 1 t))
(/.f64 (expm1.f64 z) t)
(*.f64 (expm1.f64 z) (/.f64 1 t))
(/.f64 (expm1.f64 z) t)
(*.f64 (/.f64 (expm1.f64 z) t) 1)
(/.f64 (expm1.f64 z) t)
(*.f64 1 (/.f64 (expm1.f64 z) t))
(/.f64 (expm1.f64 z) t)
(*.f64 (sqrt.f64 (expm1.f64 z)) (*.f64 (sqrt.f64 (expm1.f64 z)) (/.f64 1 t)))
(/.f64 (expm1.f64 z) t)
(*.f64 (sqrt.f64 (/.f64 (expm1.f64 z) t)) (sqrt.f64 (/.f64 (expm1.f64 z) t)))
(/.f64 (expm1.f64 z) t)
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 z)) 2) (*.f64 (cbrt.f64 (expm1.f64 z)) (/.f64 1 t)))
(/.f64 (expm1.f64 z) t)
(*.f64 (cbrt.f64 (/.f64 (expm1.f64 z) t)) (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 z) t)) 2))
(/.f64 (expm1.f64 z) t)
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 z) t)) 2) (cbrt.f64 (/.f64 (expm1.f64 z) t)))
(/.f64 (expm1.f64 z) t)
(*.f64 (/.f64 1 t) (expm1.f64 z))
(/.f64 (expm1.f64 z) t)
(*.f64 (neg.f64 (expm1.f64 z)) (/.f64 1 (neg.f64 t)))
(/.f64 (expm1.f64 z) t)
(*.f64 (/.f64 1 (sqrt.f64 t)) (/.f64 (expm1.f64 z) (sqrt.f64 t)))
(/.f64 (expm1.f64 z) t)
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 t) 2)) (/.f64 (expm1.f64 z) (cbrt.f64 t)))
(/.f64 (expm1.f64 z) t)
(*.f64 (/.f64 (sqrt.f64 (expm1.f64 z)) 1) (/.f64 (sqrt.f64 (expm1.f64 z)) t))
(/.f64 (expm1.f64 z) t)
(*.f64 (/.f64 (sqrt.f64 (expm1.f64 z)) (pow.f64 (cbrt.f64 t) 2)) (/.f64 (sqrt.f64 (expm1.f64 z)) (cbrt.f64 t)))
(/.f64 (expm1.f64 z) t)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 z)) 2) 1) (/.f64 (cbrt.f64 (expm1.f64 z)) t))
(/.f64 (expm1.f64 z) t)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 z)) 2) (sqrt.f64 t)) (/.f64 (cbrt.f64 (expm1.f64 z)) (sqrt.f64 t)))
(/.f64 (expm1.f64 z) t)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 z)) 2) (pow.f64 (cbrt.f64 t) 2)) (cbrt.f64 (/.f64 (expm1.f64 z) t)))
(*.f64 (cbrt.f64 (/.f64 (expm1.f64 z) t)) (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 z)) 2) (pow.f64 (cbrt.f64 t) 2)))
(pow.f64 (/.f64 (expm1.f64 z) t) 1)
(/.f64 (expm1.f64 z) t)
(pow.f64 (sqrt.f64 (/.f64 (expm1.f64 z) t)) 2)
(/.f64 (expm1.f64 z) t)
(pow.f64 (cbrt.f64 (/.f64 (expm1.f64 z) t)) 3)
(/.f64 (expm1.f64 z) t)
(pow.f64 (pow.f64 (/.f64 (expm1.f64 z) t) 3) 1/3)
(/.f64 (expm1.f64 z) t)
(pow.f64 (/.f64 t (expm1.f64 z)) -1)
(/.f64 (expm1.f64 z) t)
(neg.f64 (/.f64 (expm1.f64 z) (neg.f64 t)))
(/.f64 (expm1.f64 z) t)
(sqrt.f64 (pow.f64 (/.f64 (expm1.f64 z) t) 2))
(fabs.f64 (/.f64 (expm1.f64 z) t))
(log.f64 (exp.f64 (/.f64 (expm1.f64 z) t)))
(/.f64 (expm1.f64 z) t)
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (expm1.f64 z) t))))
(/.f64 (expm1.f64 z) t)
(cbrt.f64 (pow.f64 (/.f64 (expm1.f64 z) t) 3))
(/.f64 (expm1.f64 z) t)
(expm1.f64 (log1p.f64 (/.f64 (expm1.f64 z) t)))
(/.f64 (expm1.f64 z) t)
(exp.f64 (log.f64 (/.f64 (expm1.f64 z) t)))
(/.f64 (expm1.f64 z) t)
(exp.f64 (*.f64 (log.f64 (/.f64 (expm1.f64 z) t)) 1))
(/.f64 (expm1.f64 z) t)
(log1p.f64 (expm1.f64 (/.f64 (expm1.f64 z) t)))
(/.f64 (expm1.f64 z) t)

localize16.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(*.f64 y (expm1.f64 z))
0.5b
(log1p.f64 (*.f64 y (expm1.f64 z)))
3.0b
(*.f64 (/.f64 1 t) (log1p.f64 (*.f64 y (expm1.f64 z))))
Compiler

Compiled 43 to 17 computations (60.5% saved)

series1.0ms (0%)

Counts
1 → 36
Calls

9 calls:

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

rewrite69.0ms (0.4%)

Algorithm
batch-egg-rewrite
Rules
982×*-commutative
792×unswap-sqr
608×swap-sqr
520×associate-*r/
418×sqr-pow
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01221
123121
2268821
Stop Event
node limit
Counts
1 → 66
Calls
Call 1
Inputs
(*.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 (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 (/.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))) (sqrt.f64 t)) (sqrt.f64 t))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (neg.f64 t))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (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))) (cbrt.f64 t)) (pow.f64 (cbrt.f64 t) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (*.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 (sqrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) (sqrt.f64 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 (log1p.f64 (*.f64 y (expm1.f64 z))))) (cbrt.f64 t))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (sqrt.f64 t)) 1) (sqrt.f64 t))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (sqrt.f64 t)) (sqrt.f64 -1)) (sqrt.f64 (neg.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (cbrt.f64 (pow.f64 t -2))) -1) (cbrt.f64 (neg.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (cbrt.f64 (pow.f64 t -2))) (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) (cbrt.f64 t))))) (#(struct:change #<rule egg-rr> (2) ((x /.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))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (cbrt.f64 (pow.f64 t -2))) 1) (cbrt.f64 t))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (sqrt.f64 t))) (sqrt.f64 t))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 -1) (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (sqrt.f64 t))) (sqrt.f64 (neg.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x /.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))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 2)) (cbrt.f64 t))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (cbrt.f64 t))) (pow.f64 (cbrt.f64 t) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.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))))) (#(struct:change #<rule egg-rr> (2) ((x /.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))))) (#(struct:change #<rule egg-rr> (2) ((x /.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))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 1) (neg.f64 t))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (sqrt.f64 t)) (neg.f64 (sqrt.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (pow.f64 (cbrt.f64 t) 2)) (neg.f64 (cbrt.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) -1) t)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (sqrt.f64 (neg.f64 t))) (sqrt.f64 (neg.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x /.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)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (neg.f64 (sqrt.f64 t))) (sqrt.f64 t))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (neg.f64 (pow.f64 (cbrt.f64 t) 2))) (cbrt.f64 t))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (sqrt.f64 t)) 1) (sqrt.f64 t))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (sqrt.f64 t)) (cbrt.f64 t)) (cbrt.f64 (sqrt.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x /.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)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (sqrt.f64 t)) (sqrt.f64 (sqrt.f64 t))) (sqrt.f64 (sqrt.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (cbrt.f64 (pow.f64 t -2))) 1) (cbrt.f64 t))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (cbrt.f64 (pow.f64 t -2))) (sqrt.f64 (cbrt.f64 t))) (sqrt.f64 (cbrt.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (cbrt.f64 (pow.f64 t -2))) (*.f64 (cbrt.f64 (cbrt.f64 t)) (cbrt.f64 (cbrt.f64 t)))) (cbrt.f64 (cbrt.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (cbrt.f64 (pow.f64 t -2))) (cbrt.f64 (pow.f64 (cbrt.f64 t) 2))) (cbrt.f64 (cbrt.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (cbrt.f64 (pow.f64 t -2))) (cbrt.f64 (sqrt.f64 t))) (cbrt.f64 (sqrt.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) (exp.f64 (log1p.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))) 1) (+.f64 (exp.f64 (log1p.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) 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 log1p.f64 (expm1.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))))))

simplify80.0ms (0.5%)

Algorithm
egg-herbie
Rules
1596×associate-*r/
1168×associate-/l/
1138×associate-*l/
908×associate-/r/
840×*-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02894236
17554122
228194122
Stop Event
node limit
Counts
102 → 173
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 (exp.f64 (log1p.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) 1)
(/.f64 1 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))))
(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)
(/.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 1)
(/.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (/.f64 t (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))))
(/.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (/.f64 t (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 2)))
(/.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (/.f64 (/.f64 t (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) (cbrt.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))))))
(/.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))))))
(/.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 2) (/.f64 t (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))))
(/.f64 -1 (/.f64 (neg.f64 t) (log1p.f64 (*.f64 y (expm1.f64 z)))))
(/.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)))))))
(/.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)))))))
(/.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))))
(/.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))))
(/.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (sqrt.f64 t)) (sqrt.f64 t))
(/.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (neg.f64 t))
(/.f64 (*.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (cbrt.f64 (pow.f64 t -2))) (cbrt.f64 t))
(/.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (cbrt.f64 t)) (pow.f64 (cbrt.f64 t) 2))
(/.f64 (*.f64 1 (*.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (cbrt.f64 (pow.f64 t -2)))) (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 (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 2) (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) (cbrt.f64 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)) (sqrt.f64 -1)) (sqrt.f64 (neg.f64 t)))
(/.f64 (*.f64 (*.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (cbrt.f64 (pow.f64 t -2))) -1) (cbrt.f64 (neg.f64 t)))
(/.f64 (*.f64 (*.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (cbrt.f64 (pow.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) (sqrt.f64 t)) (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) (sqrt.f64 t))
(/.f64 (*.f64 (*.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (cbrt.f64 (pow.f64 t -2))) 1) (cbrt.f64 t))
(/.f64 (*.f64 1 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (sqrt.f64 t))) (sqrt.f64 t))
(/.f64 (*.f64 (sqrt.f64 -1) (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (sqrt.f64 t))) (sqrt.f64 (neg.f64 t)))
(/.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 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 2)) (cbrt.f64 t))
(/.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)))) (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)))) (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 (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)))) -1) 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))) (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))) (cbrt.f64 (pow.f64 t -2))) 1) (cbrt.f64 t))
(/.f64 (/.f64 (*.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (cbrt.f64 (pow.f64 t -2))) (sqrt.f64 (cbrt.f64 t))) (sqrt.f64 (cbrt.f64 t)))
(/.f64 (/.f64 (*.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (cbrt.f64 (pow.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))) (cbrt.f64 (pow.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))) (cbrt.f64 (pow.f64 t -2))) (cbrt.f64 (sqrt.f64 t))) (cbrt.f64 (sqrt.f64 t)))
(/.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) (exp.f64 (log1p.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))) 1) (+.f64 (exp.f64 (log1p.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) 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)))
(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 (*.f64 (-.f64 (exp.f64 z) 1) y) t) (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (pow.f64 y 2)) t)))
(+.f64 (/.f64 (expm1.f64 z) (/.f64 t y)) (*.f64 -1/2 (/.f64 (pow.f64 (expm1.f64 z) 2) (/.f64 t (*.f64 y y)))))
(fma.f64 -1/2 (/.f64 (pow.f64 (expm1.f64 z) 2) (/.f64 t (*.f64 y y))) (/.f64 (expm1.f64 z) (/.f64 t y)))
(fma.f64 -1/2 (*.f64 (*.f64 y y) (/.f64 (pow.f64 (expm1.f64 z) 2) t)) (/.f64 (expm1.f64 z) (/.f64 t y)))
(+.f64 (*.f64 1/3 (/.f64 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 3) (pow.f64 y 3)) t)) (+.f64 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t) (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (pow.f64 y 2)) t))))
(fma.f64 1/3 (/.f64 (pow.f64 (expm1.f64 z) 3) (/.f64 t (pow.f64 y 3))) (+.f64 (/.f64 (expm1.f64 z) (/.f64 t y)) (*.f64 -1/2 (/.f64 (pow.f64 (expm1.f64 z) 2) (/.f64 t (*.f64 y y))))))
(fma.f64 1/3 (/.f64 (pow.f64 (expm1.f64 z) 3) (/.f64 t (pow.f64 y 3))) (fma.f64 -1/2 (/.f64 (pow.f64 (expm1.f64 z) 2) (/.f64 t (*.f64 y y))) (/.f64 (expm1.f64 z) (/.f64 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 (expm1.f64 z) (/.f64 t y))))
(+.f64 (*.f64 -1/4 (/.f64 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 4) (pow.f64 y 4)) t)) (+.f64 (*.f64 1/3 (/.f64 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 3) (pow.f64 y 3)) t)) (+.f64 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t) (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (pow.f64 y 2)) t)))))
(fma.f64 -1/4 (/.f64 (pow.f64 (expm1.f64 z) 4) (/.f64 t (pow.f64 y 4))) (fma.f64 1/3 (/.f64 (pow.f64 (expm1.f64 z) 3) (/.f64 t (pow.f64 y 3))) (+.f64 (/.f64 (expm1.f64 z) (/.f64 t y)) (*.f64 -1/2 (/.f64 (pow.f64 (expm1.f64 z) 2) (/.f64 t (*.f64 y y)))))))
(fma.f64 -1/4 (*.f64 (/.f64 (pow.f64 (expm1.f64 z) 4) t) (pow.f64 y 4)) (fma.f64 1/3 (/.f64 (pow.f64 (expm1.f64 z) 3) (/.f64 t (pow.f64 y 3))) (fma.f64 -1/2 (/.f64 (pow.f64 (expm1.f64 z) 2) (/.f64 t (*.f64 y y))) (/.f64 (expm1.f64 z) (/.f64 t y)))))
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(*.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 (cbrt.f64 (sqrt.f64 t)) (cbrt.f64 (sqrt.f64 t)))) (cbrt.f64 (pow.f64 t -2)))
(/.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) (exp.f64 (log1p.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))) 1) (+.f64 (exp.f64 (log1p.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) 1))
(/.f64 (*.f64 (+.f64 1 (exp.f64 (log1p.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)))) (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) (+.f64 1 (exp.f64 (log1p.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)))))
(/.f64 (expm1.f64 (*.f64 2 (log1p.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)))) (+.f64 1 (exp.f64 (log1p.f64 (/.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)
(log1p.f64 (expm1.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)

localize23.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.5b
(log1p.f64 (*.f64 y (expm1.f64 z)))
0.5b
(pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 3)
2.7b
(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)
16.5b
(cbrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))
Compiler

Compiled 57 to 15 computations (73.7% saved)

series60.0ms (0.4%)

Counts
2 → 32
Calls

18 calls:

TimeVariablePointExpression
18.0ms
y
@-inf
(cbrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))
10.0ms
z
@0
(pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 3)
6.0ms
y
@inf
(pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 3)
5.0ms
y
@-inf
(pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 3)
4.0ms
z
@0
(cbrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))

rewrite95.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
1014×*-commutative
844×unswap-sqr
722×associate-*r/
644×swap-sqr
634×associate-/r*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01346
126546
2297946
Stop Event
node limit
Counts
2 → 210
Calls
Call 1
Inputs
(cbrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))
(pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 3)
Outputs
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(*.f64 y (expm1.f64 z))) t)) 2) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) 2) (cbrt.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (cbrt.f64 (/.f64 1 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (/.f64 1 (cbrt.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (pow.f64 (/.f64 1 t) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1 t)) (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 t)) (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 1 t) 1/3) (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))))))) (#(struct:change #<rule egg-rr> (2) 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(#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 2) 1/3) (cbrt.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))))) (cbrt.f64 (cbrt.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 1 1/3) 1) (cbrt.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 1 1/3) 1) (/.f64 (cbrt.f64 t) (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 1 1/3) (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) (cbrt.f64 t))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 1 1/3) (cbrt.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))))) (cbrt.f64 (neg.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 1 1/3) (neg.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))))) (neg.f64 (cbrt.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 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simplify204.0ms (1.3%)

Algorithm
egg-herbie
Rules
1324×associate-+r+
992×associate-*r*
796×+-commutative
788×associate-*l*
784×associate-/l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
070520714
1188718634
2749318634
Stop Event
node limit
Counts
242 → 341
Calls
Call 1
Inputs
(pow.f64 (/.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) t) 1/3)
(+.f64 (pow.f64 (/.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) t) 1/3) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) 2) (pow.f64 t 7))) 1/9) (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y)))))
(+.f64 (pow.f64 (/.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) t) 1/3) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) 2) (pow.f64 t 7))) 1/9) (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y)))) (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 (*.f64 1 (pow.f64 t 2)) (pow.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) 2)) 1/3) (/.f64 (+.f64 (*.f64 1/3 (*.f64 (/.f64 1 (pow.f64 (-.f64 (exp.f64 z) 1) 2)) (pow.f64 (/.f64 1 (*.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) (pow.f64 t 17))) 1/9))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) t)))) (pow.f64 y 2))))))
(+.f64 (pow.f64 (/.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) t) 1/3) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) 2) (pow.f64 t 7))) 1/9) (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y)))) (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 (*.f64 1 (pow.f64 t 2)) (pow.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) 2)) 1/3) (/.f64 (+.f64 (*.f64 1/3 (*.f64 (/.f64 1 (pow.f64 (-.f64 (exp.f64 z) 1) 2)) (pow.f64 (/.f64 1 (*.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) (pow.f64 t 17))) 1/9))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) t)))) (pow.f64 y 2)))) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (*.f64 1 (pow.f64 t 2)) (pow.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) 2)) 1/3) (/.f64 (-.f64 (*.f64 1/3 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 3) t))) (+.f64 (*.f64 1/27 (*.f64 (/.f64 1 (pow.f64 (-.f64 (exp.f64 z) 1) 3)) (pow.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) 2) (pow.f64 t 7))) 1/3))) (*.f64 -2/3 (*.f64 (/.f64 (+.f64 (*.f64 1/3 (*.f64 (/.f64 1 (pow.f64 (-.f64 (exp.f64 z) 1) 2)) (pow.f64 (/.f64 1 (*.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) (pow.f64 t 17))) 1/9))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) t)))) (-.f64 (exp.f64 z) 1)) (pow.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) 5) (pow.f64 t 4))) 1/9))))) (pow.f64 y 3)))))))
(pow.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1)))) t) 1/3)
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(+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1)))) 2) (pow.f64 t 7))) 1/9) (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y)))) (+.f64 (pow.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1)))) t) 1/3) (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 (*.f64 1 (pow.f64 t 2)) (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1)))) 2)) 1/3) (/.f64 (+.f64 (*.f64 1/3 (*.f64 (/.f64 1 (pow.f64 (-.f64 (exp.f64 z) 1) 2)) (pow.f64 (/.f64 1 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1)))) (pow.f64 t 17))) 1/9))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) t)))) (pow.f64 y 2))))))
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(pow.f64 (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t) 1/3)
(pow.f64 (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t) 1/3)
(pow.f64 (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t) 1/3)
(pow.f64 (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t) 1/3)
(pow.f64 (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t) 1/3)
(pow.f64 (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t) 1/3)
(pow.f64 (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t) 1/3)
(pow.f64 (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t) 1/3)
(*.f64 (/.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) t) (pow.f64 1 1/3))
(+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) 4) 1) (pow.f64 t 13)) 1/9) (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y)))) (+.f64 (*.f64 2/3 (*.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) 4) 1) (pow.f64 t 13)) 1/9) (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y)))) (*.f64 (/.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) t) (pow.f64 1 1/3))))
(+.f64 (*.f64 2/3 (*.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) 4) 1) (pow.f64 t 13)) 1/9) (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y)))) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) 4) 1) (pow.f64 t 13)) 1/9) (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y)))) (+.f64 (*.f64 (/.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) t) (pow.f64 1 1/3)) (+.f64 (*.f64 2/9 (*.f64 (pow.f64 (/.f64 1 (*.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) (pow.f64 t 17))) 1/9) (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (pow.f64 y 2))))) (+.f64 (*.f64 -1/3 (*.f64 (/.f64 (+.f64 (*.f64 1/3 (*.f64 (/.f64 1 (pow.f64 (-.f64 (exp.f64 z) 1) 2)) (pow.f64 (/.f64 1 (*.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) (pow.f64 t 17))) 1/9))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) t)))) (pow.f64 y 2)) (pow.f64 1 1/3))) (*.f64 (pow.f64 (/.f64 (*.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) 1) t) 1/3) (/.f64 (+.f64 (*.f64 1/9 (*.f64 (/.f64 1 (pow.f64 (-.f64 (exp.f64 z) 1) 2)) (pow.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) 4) (pow.f64 t 14))) 1/9))) (*.f64 -2/3 (*.f64 (pow.f64 (/.f64 (*.f64 1 t) (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y))))) 1/3) (+.f64 (*.f64 1/3 (*.f64 (/.f64 1 (pow.f64 (-.f64 (exp.f64 z) 1) 2)) (pow.f64 (/.f64 1 (*.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) (pow.f64 t 17))) 1/9))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) t))))))) (pow.f64 y 2))))))))
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(/.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))) (sqrt.f64 t)) (sqrt.f64 (pow.f64 (cbrt.f64 t) 2))) (sqrt.f64 (cbrt.f64 t)))
(neg.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t)))
(neg.f64 (/.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) t))
(neg.f64 (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t)) 1))
(neg.f64 (*.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (/.f64 -1 t)))
(neg.f64 (*.f64 1 (/.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)))
(log1p.f64 (expm1.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))
Outputs
(pow.f64 (/.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) t) 1/3)
(cbrt.f64 (/.f64 (+.f64 (log.f64 (expm1.f64 z)) (neg.f64 (neg.f64 (log.f64 y)))) t))
(cbrt.f64 (/.f64 (+.f64 (log.f64 (expm1.f64 z)) (log.f64 y)) t))
(+.f64 (pow.f64 (/.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) t) 1/3) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) 2) (pow.f64 t 7))) 1/9) (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y)))))
(+.f64 (*.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 (log.f64 (expm1.f64 z)) (neg.f64 (neg.f64 (log.f64 y)))) 2) (pow.f64 t 7))) 1/18) (pow.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 (log.f64 (expm1.f64 z)) (neg.f64 (neg.f64 (log.f64 y)))) 2) (pow.f64 t 7))) 1/18))) (/.f64 1 (*.f64 (expm1.f64 z) y))) (cbrt.f64 (/.f64 (+.f64 (log.f64 (expm1.f64 z)) (neg.f64 (neg.f64 (log.f64 y)))) t)))
(fma.f64 1/3 (/.f64 (*.f64 (pow.f64 (/.f64 (/.f64 1 (pow.f64 t 7)) (pow.f64 (+.f64 (log.f64 (expm1.f64 z)) (log.f64 y)) 2)) 1/18) (pow.f64 (/.f64 (/.f64 1 (pow.f64 t 7)) (pow.f64 (+.f64 (log.f64 (expm1.f64 z)) (log.f64 y)) 2)) 1/18)) (*.f64 (expm1.f64 z) y)) (cbrt.f64 (/.f64 (+.f64 (log.f64 (expm1.f64 z)) (log.f64 y)) t)))
(+.f64 (pow.f64 (/.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) t) 1/3) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) 2) (pow.f64 t 7))) 1/9) (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y)))) (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 (*.f64 1 (pow.f64 t 2)) (pow.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) 2)) 1/3) (/.f64 (+.f64 (*.f64 1/3 (*.f64 (/.f64 1 (pow.f64 (-.f64 (exp.f64 z) 1) 2)) (pow.f64 (/.f64 1 (*.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) (pow.f64 t 17))) 1/9))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) t)))) (pow.f64 y 2))))))
(+.f64 (fma.f64 1/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 (log.f64 (expm1.f64 z)) (neg.f64 (neg.f64 (log.f64 y)))) 2) (pow.f64 t 7))) 1/18) (pow.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 (log.f64 (expm1.f64 z)) (neg.f64 (neg.f64 (log.f64 y)))) 2) (pow.f64 t 7))) 1/18)) (/.f64 1 (*.f64 (expm1.f64 z) y))) (*.f64 -1/3 (*.f64 (cbrt.f64 (/.f64 (*.f64 t t) (pow.f64 (+.f64 (log.f64 (expm1.f64 z)) (neg.f64 (neg.f64 (log.f64 y)))) 2))) (/.f64 (fma.f64 1/3 (*.f64 (/.f64 1 (pow.f64 (expm1.f64 z) 2)) (*.f64 (pow.f64 (/.f64 1 (*.f64 (+.f64 (log.f64 (expm1.f64 z)) (neg.f64 (neg.f64 (log.f64 y)))) (pow.f64 t 17))) 1/18) (pow.f64 (/.f64 1 (*.f64 (+.f64 (log.f64 (expm1.f64 z)) (neg.f64 (neg.f64 (log.f64 y)))) (pow.f64 t 17))) 1/18))) (/.f64 1/2 (*.f64 t (pow.f64 (expm1.f64 z) 2)))) (*.f64 y y))))) (cbrt.f64 (/.f64 (+.f64 (log.f64 (expm1.f64 z)) (neg.f64 (neg.f64 (log.f64 y)))) t)))
(+.f64 (fma.f64 1/3 (/.f64 (*.f64 (pow.f64 (/.f64 (/.f64 1 (pow.f64 t 7)) (pow.f64 (+.f64 (log.f64 (expm1.f64 z)) (log.f64 y)) 2)) 1/18) (pow.f64 (/.f64 (/.f64 1 (pow.f64 t 7)) (pow.f64 (+.f64 (log.f64 (expm1.f64 z)) (log.f64 y)) 2)) 1/18)) (*.f64 (expm1.f64 z) y)) (cbrt.f64 (/.f64 (+.f64 (log.f64 (expm1.f64 z)) (log.f64 y)) t))) (*.f64 -1/3 (*.f64 (cbrt.f64 (/.f64 t (/.f64 (pow.f64 (+.f64 (log.f64 (expm1.f64 z)) (log.f64 y)) 2) t))) (/.f64 (fma.f64 (/.f64 1/3 (pow.f64 (expm1.f64 z) 2)) (*.f64 (pow.f64 (/.f64 (/.f64 1 (pow.f64 t 17)) (+.f64 (log.f64 (expm1.f64 z)) (log.f64 y))) 1/18) (pow.f64 (/.f64 (/.f64 1 (pow.f64 t 17)) (+.f64 (log.f64 (expm1.f64 z)) (log.f64 y))) 1/18)) (/.f64 1/2 (*.f64 t (pow.f64 (expm1.f64 z) 2)))) (*.f64 y y)))))
(+.f64 (pow.f64 (/.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) t) 1/3) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) 2) (pow.f64 t 7))) 1/9) (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y)))) (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 (*.f64 1 (pow.f64 t 2)) (pow.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) 2)) 1/3) (/.f64 (+.f64 (*.f64 1/3 (*.f64 (/.f64 1 (pow.f64 (-.f64 (exp.f64 z) 1) 2)) (pow.f64 (/.f64 1 (*.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) (pow.f64 t 17))) 1/9))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) t)))) (pow.f64 y 2)))) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (*.f64 1 (pow.f64 t 2)) (pow.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) 2)) 1/3) (/.f64 (-.f64 (*.f64 1/3 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 3) t))) (+.f64 (*.f64 1/27 (*.f64 (/.f64 1 (pow.f64 (-.f64 (exp.f64 z) 1) 3)) (pow.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) 2) (pow.f64 t 7))) 1/3))) (*.f64 -2/3 (*.f64 (/.f64 (+.f64 (*.f64 1/3 (*.f64 (/.f64 1 (pow.f64 (-.f64 (exp.f64 z) 1) 2)) (pow.f64 (/.f64 1 (*.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) (pow.f64 t 17))) 1/9))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) t)))) (-.f64 (exp.f64 z) 1)) (pow.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) 5) (pow.f64 t 4))) 1/9))))) (pow.f64 y 3)))))))
(+.f64 (fma.f64 1/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 (log.f64 (expm1.f64 z)) (neg.f64 (neg.f64 (log.f64 y)))) 2) (pow.f64 t 7))) 1/18) (pow.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 (log.f64 (expm1.f64 z)) (neg.f64 (neg.f64 (log.f64 y)))) 2) (pow.f64 t 7))) 1/18)) (/.f64 1 (*.f64 (expm1.f64 z) y))) (fma.f64 -1/3 (*.f64 (cbrt.f64 (/.f64 (*.f64 t t) (pow.f64 (+.f64 (log.f64 (expm1.f64 z)) (neg.f64 (neg.f64 (log.f64 y)))) 2))) (/.f64 (fma.f64 1/3 (*.f64 (/.f64 1 (pow.f64 (expm1.f64 z) 2)) (*.f64 (pow.f64 (/.f64 1 (*.f64 (+.f64 (log.f64 (expm1.f64 z)) (neg.f64 (neg.f64 (log.f64 y)))) (pow.f64 t 17))) 1/18) (pow.f64 (/.f64 1 (*.f64 (+.f64 (log.f64 (expm1.f64 z)) (neg.f64 (neg.f64 (log.f64 y)))) (pow.f64 t 17))) 1/18))) (/.f64 1/2 (*.f64 t (pow.f64 (expm1.f64 z) 2)))) (*.f64 y y))) (*.f64 1/3 (*.f64 (cbrt.f64 (/.f64 (*.f64 t t) (pow.f64 (+.f64 (log.f64 (expm1.f64 z)) (neg.f64 (neg.f64 (log.f64 y)))) 2))) (/.f64 (-.f64 (/.f64 1/3 (*.f64 t (pow.f64 (expm1.f64 z) 3))) (fma.f64 1/27 (*.f64 (/.f64 1 (pow.f64 (expm1.f64 z) 3)) (cbrt.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 (log.f64 (expm1.f64 z)) (neg.f64 (neg.f64 (log.f64 y)))) 2) (pow.f64 t 7))))) (*.f64 -2/3 (/.f64 (*.f64 (fma.f64 1/3 (*.f64 (/.f64 1 (pow.f64 (expm1.f64 z) 2)) (*.f64 (pow.f64 (/.f64 1 (*.f64 (+.f64 (log.f64 (expm1.f64 z)) (neg.f64 (neg.f64 (log.f64 y)))) (pow.f64 t 17))) 1/18) (pow.f64 (/.f64 1 (*.f64 (+.f64 (log.f64 (expm1.f64 z)) (neg.f64 (neg.f64 (log.f64 y)))) (pow.f64 t 17))) 1/18))) (/.f64 1/2 (*.f64 t (pow.f64 (expm1.f64 z) 2)))) (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 (log.f64 (expm1.f64 z)) (neg.f64 (neg.f64 (log.f64 y)))) 5) (pow.f64 t 4))) 1/18) (pow.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 (log.f64 (expm1.f64 z)) (neg.f64 (neg.f64 (log.f64 y)))) 5) (pow.f64 t 4))) 1/18))) (expm1.f64 z))))) (pow.f64 y 3)))))) (cbrt.f64 (/.f64 (+.f64 (log.f64 (expm1.f64 z)) (neg.f64 (neg.f64 (log.f64 y)))) t)))
(+.f64 (fma.f64 1/3 (/.f64 (*.f64 (pow.f64 (/.f64 (/.f64 1 (pow.f64 t 7)) (pow.f64 (+.f64 (log.f64 (expm1.f64 z)) (log.f64 y)) 2)) 1/18) (pow.f64 (/.f64 (/.f64 1 (pow.f64 t 7)) (pow.f64 (+.f64 (log.f64 (expm1.f64 z)) (log.f64 y)) 2)) 1/18)) (*.f64 (expm1.f64 z) y)) (cbrt.f64 (/.f64 (+.f64 (log.f64 (expm1.f64 z)) (log.f64 y)) t))) (fma.f64 1/3 (*.f64 (cbrt.f64 (/.f64 t (/.f64 (pow.f64 (+.f64 (log.f64 (expm1.f64 z)) (log.f64 y)) 2) t))) (/.f64 (-.f64 (/.f64 1/3 (*.f64 t (pow.f64 (expm1.f64 z) 3))) (fma.f64 1/27 (/.f64 (cbrt.f64 (/.f64 (/.f64 1 (pow.f64 t 7)) (pow.f64 (+.f64 (log.f64 (expm1.f64 z)) (log.f64 y)) 2))) (pow.f64 (expm1.f64 z) 3)) (/.f64 (*.f64 -2/3 (*.f64 (fma.f64 (/.f64 1/3 (pow.f64 (expm1.f64 z) 2)) (*.f64 (pow.f64 (/.f64 (/.f64 1 (pow.f64 t 17)) (+.f64 (log.f64 (expm1.f64 z)) (log.f64 y))) 1/18) (pow.f64 (/.f64 (/.f64 1 (pow.f64 t 17)) (+.f64 (log.f64 (expm1.f64 z)) (log.f64 y))) 1/18)) (/.f64 1/2 (*.f64 t (pow.f64 (expm1.f64 z) 2)))) (*.f64 (pow.f64 (/.f64 (/.f64 1 (pow.f64 t 4)) (pow.f64 (+.f64 (log.f64 (expm1.f64 z)) (log.f64 y)) 5)) 1/18) (pow.f64 (/.f64 (/.f64 1 (pow.f64 t 4)) (pow.f64 (+.f64 (log.f64 (expm1.f64 z)) (log.f64 y)) 5)) 1/18)))) (expm1.f64 z)))) (pow.f64 y 3))) (*.f64 -1/3 (*.f64 (cbrt.f64 (/.f64 t (/.f64 (pow.f64 (+.f64 (log.f64 (expm1.f64 z)) (log.f64 y)) 2) t))) (/.f64 (fma.f64 (/.f64 1/3 (pow.f64 (expm1.f64 z) 2)) (*.f64 (pow.f64 (/.f64 (/.f64 1 (pow.f64 t 17)) (+.f64 (log.f64 (expm1.f64 z)) (log.f64 y))) 1/18) (pow.f64 (/.f64 (/.f64 1 (pow.f64 t 17)) (+.f64 (log.f64 (expm1.f64 z)) (log.f64 y))) 1/18)) (/.f64 1/2 (*.f64 t (pow.f64 (expm1.f64 z) 2)))) (*.f64 y y))))))
(pow.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1)))) t) 1/3)
(cbrt.f64 (/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 (neg.f64 (expm1.f64 z)))) t))
(cbrt.f64 (/.f64 (-.f64 (log.f64 (neg.f64 (expm1.f64 z))) (log.f64 (/.f64 -1 y))) t))
(+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1)))) 2) (pow.f64 t 7))) 1/9) (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y)))) (pow.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1)))) t) 1/3))
(fma.f64 1/3 (*.f64 (/.f64 1 (*.f64 (expm1.f64 z) y)) (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 t 7) (pow.f64 (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 (neg.f64 (expm1.f64 z)))) 2))) 1/18) (pow.f64 (/.f64 1 (*.f64 (pow.f64 t 7) (pow.f64 (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 (neg.f64 (expm1.f64 z)))) 2))) 1/18))) (cbrt.f64 (/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 (neg.f64 (expm1.f64 z)))) t)))
(fma.f64 1/3 (/.f64 (*.f64 (pow.f64 (/.f64 (/.f64 1 (pow.f64 t 7)) (pow.f64 (-.f64 (log.f64 (neg.f64 (expm1.f64 z))) (log.f64 (/.f64 -1 y))) 2)) 1/18) (pow.f64 (/.f64 (/.f64 1 (pow.f64 t 7)) (pow.f64 (-.f64 (log.f64 (neg.f64 (expm1.f64 z))) (log.f64 (/.f64 -1 y))) 2)) 1/18)) (*.f64 (expm1.f64 z) y)) (cbrt.f64 (/.f64 (-.f64 (log.f64 (neg.f64 (expm1.f64 z))) (log.f64 (/.f64 -1 y))) t)))
(+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1)))) 2) (pow.f64 t 7))) 1/9) (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y)))) (+.f64 (pow.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1)))) t) 1/3) (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 (*.f64 1 (pow.f64 t 2)) (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1)))) 2)) 1/3) (/.f64 (+.f64 (*.f64 1/3 (*.f64 (/.f64 1 (pow.f64 (-.f64 (exp.f64 z) 1) 2)) (pow.f64 (/.f64 1 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1)))) (pow.f64 t 17))) 1/9))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) t)))) (pow.f64 y 2))))))
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(/.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) 2) 3) (cbrt.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))))) (cbrt.f64 (neg.f64 t)))
(/.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))))))
(*.f64 (/.f64 (cbrt.f64 (neg.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)))) (cbrt.f64 (neg.f64 t))) (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) 2))
(/.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) 2) 3) (neg.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))))) (neg.f64 (cbrt.f64 t)))
(/.f64 (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) 2) (/.f64 (neg.f64 (cbrt.f64 t)) (neg.f64 (cbrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))))))
(*.f64 (*.f64 1 (/.f64 (cbrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) (cbrt.f64 t))) (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) 2))
(/.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 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) (/.f64 (pow.f64 (cbrt.f64 t) 2) (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) 2) (pow.f64 (cbrt.f64 t) 2)) (cbrt.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)))
(/.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 (sqrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) (/.f64 (sqrt.f64 t) (sqrt.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))))
(*.f64 (/.f64 (sqrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) (sqrt.f64 t)) (sqrt.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)))
(/.f64 (*.f64 (cbrt.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 2)) (cbrt.f64 (neg.f64 t)))
(/.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))))))
(*.f64 (/.f64 (cbrt.f64 (neg.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)))) (cbrt.f64 (neg.f64 t))) (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) 2))
(/.f64 (*.f64 (neg.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 2)) (neg.f64 (cbrt.f64 t)))
(/.f64 (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) 2) (/.f64 (neg.f64 (cbrt.f64 t)) (neg.f64 (cbrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))))))
(*.f64 (*.f64 1 (/.f64 (cbrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) (cbrt.f64 t))) (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) 2))
(/.f64 (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (pow.f64 (cbrt.f64 t) 2)) 1) (cbrt.f64 t))
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)
(/.f64 (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 1) 1) t)
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)
(/.f64 (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (sqrt.f64 t)) 1) (sqrt.f64 t))
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)
(/.f64 (*.f64 (sqrt.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) (*.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 1/6) (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 2))) (sqrt.f64 (cbrt.f64 t)))
(/.f64 (sqrt.f64 (cbrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)))) (/.f64 (sqrt.f64 (cbrt.f64 t)) (*.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) 1/6) (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) 2))))
(*.f64 (/.f64 (sqrt.f64 (cbrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)))) (sqrt.f64 (cbrt.f64 t))) (*.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) 1/6) (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) 2)))
(/.f64 (*.f64 (sqrt.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) (sqrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) (sqrt.f64 (neg.f64 t)))
(/.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 (sqrt.f64 (neg.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)))) (sqrt.f64 (neg.f64 t))) (sqrt.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)))
(/.f64 (*.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))) (cbrt.f64 t))
(/.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) (/.f64 (pow.f64 (cbrt.f64 t) 2) (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) 2) (pow.f64 (cbrt.f64 t) 2)) (cbrt.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)))
(/.f64 (*.f64 1 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (cbrt.f64 t))) (pow.f64 (cbrt.f64 t) 2))
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)
(/.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 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)
(/.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 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)
(/.f64 (/.f64 1 (*.f64 (cbrt.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z))))) (cbrt.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z))))))) (cbrt.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z))))))
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)
(/.f64 (/.f64 1 (/.f64 (sqrt.f64 t) 1)) (/.f64 (sqrt.f64 t) (log1p.f64 (*.f64 y (expm1.f64 z)))))
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)
(/.f64 (/.f64 1 (/.f64 (pow.f64 (cbrt.f64 t) 2) 1)) (/.f64 (cbrt.f64 t) (log1p.f64 (*.f64 y (expm1.f64 z)))))
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)
(/.f64 (/.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 1) (neg.f64 t))
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)
(/.f64 (/.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (sqrt.f64 t)) (neg.f64 (sqrt.f64 t)))
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)
(/.f64 (/.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (pow.f64 (cbrt.f64 t) 2)) (neg.f64 (cbrt.f64 t)))
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)
(/.f64 (/.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (sqrt.f64 (neg.f64 t))) (sqrt.f64 (neg.f64 t)))
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) 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 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)
(/.f64 (/.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) -1) t)
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)
(/.f64 (/.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (neg.f64 (sqrt.f64 t))) (sqrt.f64 t))
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)
(/.f64 (/.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (neg.f64 (pow.f64 (cbrt.f64 t) 2))) (cbrt.f64 t))
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)
(/.f64 (/.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (pow.f64 (cbrt.f64 t) 2)) 1) (cbrt.f64 t))
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) 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 (log1p.f64 (*.f64 (expm1.f64 z) y)) 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 (log1p.f64 (*.f64 (expm1.f64 z) y)) 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 (log1p.f64 (*.f64 (expm1.f64 z) y)) (pow.f64 (cbrt.f64 t) 2)) (*.f64 (cbrt.f64 (sqrt.f64 t)) (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 (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)) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 t) 2)) (pow.f64 (cbrt.f64 t) 2))) (cbrt.f64 (cbrt.f64 t)))
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 (*.f64 (cbrt.f64 (cbrt.f64 t)) (cbrt.f64 (pow.f64 (cbrt.f64 t) 2))) (pow.f64 (cbrt.f64 t) 2)))
(/.f64 (/.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 1) 1) t)
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)
(/.f64 (/.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (sqrt.f64 t)) 1) (sqrt.f64 t))
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)
(/.f64 (/.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (sqrt.f64 t)) (cbrt.f64 t)) (cbrt.f64 (sqrt.f64 t)))
(/.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (sqrt.f64 t)) (*.f64 (cbrt.f64 (sqrt.f64 t)) (cbrt.f64 t)))
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 (*.f64 (cbrt.f64 t) (cbrt.f64 (sqrt.f64 t))) (sqrt.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 (log1p.f64 (*.f64 (expm1.f64 z) y)) 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 (log1p.f64 (*.f64 (expm1.f64 z) y)) (sqrt.f64 t)) (*.f64 (sqrt.f64 (cbrt.f64 t)) (sqrt.f64 (pow.f64 (cbrt.f64 t) 2))))
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 (*.f64 (sqrt.f64 (cbrt.f64 t)) (fabs.f64 (cbrt.f64 t))) (sqrt.f64 t)))
(neg.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t)))
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)
(neg.f64 (/.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) t))
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)
(neg.f64 (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t)) 1))
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)
(neg.f64 (*.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (/.f64 -1 t)))
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)
(neg.f64 (*.f64 1 (/.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)
(log1p.f64 (expm1.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)

eval937.0ms (6.1%)

Compiler

Compiled 50053 to 23786 computations (52.5% saved)

prune540.0ms (3.5%)

Pruning

23 alts after pruning (20 fresh and 3 done)

PrunedKeptTotal
New1437111448
Fresh2911
Picked011
Done325
Total1442231465
Error
0.2b
Counts
1465 → 23
Alt Table
Click to see full alt table
StatusErrorProgram
27.0b
(-.f64 x (fma.f64 1/2 (*.f64 (-.f64 y (*.f64 y y)) (/.f64 (*.f64 z z) t)) (*.f64 (/.f64 z t) y)))
9.3b
(-.f64 x (pow.f64 (+.f64 (/.f64 t (*.f64 (expm1.f64 z) y)) (*.f64 t 1/2)) -1))
26.1b
(-.f64 x (pow.f64 (sqrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 2))
1.7b
(-.f64 x (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 3))
26.8b
(-.f64 x (/.f64 (fma.f64 z y (*.f64 1/2 (*.f64 z (*.f64 z (-.f64 y (*.f64 y y)))))) t))
1.6b
(-.f64 x (/.f64 (/.f64 1 t) (/.f64 1 (log1p.f64 (*.f64 y (expm1.f64 z))))))
54.7b
(-.f64 x (/.f64 (+.f64 (log.f64 (expm1.f64 z)) (log.f64 y)) t))
18.0b
(-.f64 x (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
11.9b
(-.f64 x (/.f64 (*.f64 (expm1.f64 z) y) t))
18.7b
(-.f64 x (/.f64 (*.f64 z y) t))
1.3b
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))
20.0b
(-.f64 x (/.f64 (exp.f64 (log.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) t))
5.8b
(-.f64 x (/.f64 (cbrt.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 3)) t))
19.9b
(-.f64 x (/.f64 z (/.f64 t y)))
18.1b
(-.f64 x (/.f64 y (/.f64 t z)))
18.7b
(-.f64 x (/.f64 1 (/.f64 t (*.f64 y z))))
1.3b
(-.f64 x (/.f64 1 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z))))))
22.2b
(-.f64 x (-.f64 (+.f64 1 (*.f64 (/.f64 y t) z)) 1))
22.0b
(-.f64 x (+.f64 (/.f64 y (/.f64 t z)) (*.f64 1/2 (/.f64 (*.f64 y (*.f64 z z)) t))))
18.3b
(-.f64 x (*.f64 (/.f64 z t) y))
20.1b
(-.f64 x (*.f64 (/.f64 y t) z))
19.0b
(-.f64 x (*.f64 (/.f64 1 t) (*.f64 z y)))
20.3b
(-.f64 x (*.f64 (cbrt.f64 (pow.f64 (/.f64 (expm1.f64 z) t) 3)) y))
Compiler

Compiled 648 to 444 computations (31.5% saved)

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(*.f64 y (expm1.f64 z))
0.5b
(log1p.f64 (*.f64 y (expm1.f64 z)))
0.6b
(/.f64 1 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))))
2.3b
(/.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)))))))

simplify93.0ms (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)

localize7.0ms (0%)

Local error

Found 1 expressions with local error:

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

Compiled 23 to 7 computations (69.6% saved)

series1.0ms (0%)

Counts
1 → 36
Calls

9 calls:

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

rewrite54.0ms (0.4%)

Algorithm
batch-egg-rewrite
Rules
1570×add-sqr-sqrt
1558×*-un-lft-identity
1446×add-cube-cbrt
1422×add-cbrt-cube
1408×add-exp-log
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0713
114513
2191413
Stop Event
node limit
Counts
1 → 22
Calls
Call 1
Inputs
(*.f64 (/.f64 z t) y)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (/.f64 z t) y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 z (/.f64 t y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 y (/.f64 t z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 t (*.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 z y) t)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (neg.f64 z)) (neg.f64 t))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 z) y) (neg.f64 t))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 z y) 1) t)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 z y) (sqrt.f64 t)) (sqrt.f64 t))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 z y) (pow.f64 (cbrt.f64 t) 2)) (cbrt.f64 t))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 z y)) (neg.f64 t))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 z t) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 z t) y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 z t) y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 z t) y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (/.f64 z t) y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 y) (/.f64 z t)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 z t) y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 z t) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 z t) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 z t) y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 z t) y)))))))

simplify49.0ms (0.3%)

Algorithm
egg-herbie
Rules
1670×distribute-rgt-in
1658×distribute-lft-in
990×associate-*r*
922×associate-*l*
610×associate-+l+
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
062754
1143754
2575754
33915754
Stop Event
node limit
Counts
58 → 24
Calls
Call 1
Inputs
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(-.f64 (+.f64 1 (*.f64 (/.f64 z t) y)) 1)
(/.f64 z (/.f64 t y))
(/.f64 y (/.f64 t z))
(/.f64 1 (/.f64 t (*.f64 z y)))
(/.f64 (*.f64 z y) t)
(/.f64 (*.f64 y (neg.f64 z)) (neg.f64 t))
(/.f64 (*.f64 (neg.f64 z) y) (neg.f64 t))
(/.f64 (/.f64 (*.f64 z y) 1) t)
(/.f64 (/.f64 (*.f64 z y) (sqrt.f64 t)) (sqrt.f64 t))
(/.f64 (/.f64 (*.f64 z y) (pow.f64 (cbrt.f64 t) 2)) (cbrt.f64 t))
(/.f64 (neg.f64 (*.f64 z y)) (neg.f64 t))
(pow.f64 (*.f64 (/.f64 z t) y) 1)
(pow.f64 (sqrt.f64 (*.f64 (/.f64 z t) y)) 2)
(pow.f64 (cbrt.f64 (*.f64 (/.f64 z t) y)) 3)
(pow.f64 (pow.f64 (*.f64 (/.f64 z t) y) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 (/.f64 z t) y) 2))
(log.f64 (pow.f64 (exp.f64 y) (/.f64 z t)))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 z t) y) 3))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 z t) y)))
(exp.f64 (log.f64 (*.f64 (/.f64 z t) y)))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 z t) y)) 1))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 z t) y)))
Outputs
(/.f64 (*.f64 y z) t)
(*.f64 y (/.f64 z t))
(/.f64 (*.f64 y z) t)
(*.f64 y (/.f64 z t))
(/.f64 (*.f64 y z) t)
(*.f64 y (/.f64 z t))
(/.f64 (*.f64 y z) t)
(*.f64 y (/.f64 z t))
(/.f64 (*.f64 y z) t)
(*.f64 y (/.f64 z t))
(/.f64 (*.f64 y z) t)
(*.f64 y (/.f64 z t))
(/.f64 (*.f64 y z) t)
(*.f64 y (/.f64 z t))
(/.f64 (*.f64 y z) t)
(*.f64 y (/.f64 z t))
(/.f64 (*.f64 y z) t)
(*.f64 y (/.f64 z t))
(/.f64 (*.f64 y z) t)
(*.f64 y (/.f64 z t))
(/.f64 (*.f64 y z) t)
(*.f64 y (/.f64 z t))
(/.f64 (*.f64 y z) t)
(*.f64 y (/.f64 z t))
(/.f64 (*.f64 y z) t)
(*.f64 y (/.f64 z t))
(/.f64 (*.f64 y z) t)
(*.f64 y (/.f64 z t))
(/.f64 (*.f64 y z) t)
(*.f64 y (/.f64 z t))
(/.f64 (*.f64 y z) t)
(*.f64 y (/.f64 z t))
(/.f64 (*.f64 y z) t)
(*.f64 y (/.f64 z t))
(/.f64 (*.f64 y z) t)
(*.f64 y (/.f64 z t))
(/.f64 (*.f64 y z) t)
(*.f64 y (/.f64 z t))
(/.f64 (*.f64 y z) t)
(*.f64 y (/.f64 z t))
(/.f64 (*.f64 y z) t)
(*.f64 y (/.f64 z t))
(/.f64 (*.f64 y z) t)
(*.f64 y (/.f64 z t))
(/.f64 (*.f64 y z) t)
(*.f64 y (/.f64 z t))
(/.f64 (*.f64 y z) t)
(*.f64 y (/.f64 z t))
(/.f64 (*.f64 y z) t)
(*.f64 y (/.f64 z t))
(/.f64 (*.f64 y z) t)
(*.f64 y (/.f64 z t))
(/.f64 (*.f64 y z) t)
(*.f64 y (/.f64 z t))
(/.f64 (*.f64 y z) t)
(*.f64 y (/.f64 z t))
(/.f64 (*.f64 y z) t)
(*.f64 y (/.f64 z t))
(/.f64 (*.f64 y z) t)
(*.f64 y (/.f64 z t))
(/.f64 (*.f64 y z) t)
(*.f64 y (/.f64 z t))
(/.f64 (*.f64 y z) t)
(*.f64 y (/.f64 z t))
(/.f64 (*.f64 y z) t)
(*.f64 y (/.f64 z t))
(/.f64 (*.f64 y z) t)
(*.f64 y (/.f64 z t))
(/.f64 (*.f64 y z) t)
(*.f64 y (/.f64 z t))
(/.f64 (*.f64 y z) t)
(*.f64 y (/.f64 z t))
(-.f64 (+.f64 1 (*.f64 (/.f64 z t) y)) 1)
(*.f64 y (/.f64 z t))
(/.f64 z (/.f64 t y))
(*.f64 y (/.f64 z t))
(/.f64 y (/.f64 t z))
(*.f64 y (/.f64 z t))
(/.f64 1 (/.f64 t (*.f64 z y)))
(*.f64 y (/.f64 z t))
(/.f64 (*.f64 z y) t)
(*.f64 y (/.f64 z t))
(/.f64 (*.f64 y (neg.f64 z)) (neg.f64 t))
(*.f64 y (/.f64 z t))
(/.f64 (*.f64 (neg.f64 z) y) (neg.f64 t))
(*.f64 y (/.f64 z t))
(/.f64 (/.f64 (*.f64 z y) 1) t)
(*.f64 y (/.f64 z t))
(/.f64 (/.f64 (*.f64 z y) (sqrt.f64 t)) (sqrt.f64 t))
(*.f64 y (/.f64 z t))
(/.f64 (/.f64 (*.f64 z y) (pow.f64 (cbrt.f64 t) 2)) (cbrt.f64 t))
(*.f64 y (/.f64 z t))
(/.f64 (neg.f64 (*.f64 z y)) (neg.f64 t))
(*.f64 y (/.f64 z t))
(pow.f64 (*.f64 (/.f64 z t) y) 1)
(*.f64 y (/.f64 z t))
(pow.f64 (sqrt.f64 (*.f64 (/.f64 z t) y)) 2)
(*.f64 y (/.f64 z t))
(pow.f64 (cbrt.f64 (*.f64 (/.f64 z t) y)) 3)
(*.f64 y (/.f64 z t))
(pow.f64 (pow.f64 (*.f64 (/.f64 z t) y) 3) 1/3)
(*.f64 y (/.f64 z t))
(sqrt.f64 (pow.f64 (*.f64 (/.f64 z t) y) 2))
(*.f64 y (/.f64 z t))
(log.f64 (pow.f64 (exp.f64 y) (/.f64 z t)))
(*.f64 y (/.f64 z t))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 z t) y) 3))
(*.f64 y (/.f64 z t))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 z t) y)))
(*.f64 y (/.f64 z t))
(exp.f64 (log.f64 (*.f64 (/.f64 z t) y)))
(*.f64 y (/.f64 z t))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 z t) y)) 1))
(*.f64 y (/.f64 z t))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 z t) y)))
(*.f64 y (/.f64 z t))

localize12.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
3.9b
(*.f64 (/.f64 1 t) (*.f64 z y))
Compiler

Compiled 31 to 15 computations (51.6% saved)

series1.0ms (0%)

Counts
1 → 36
Calls

9 calls:

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

rewrite56.0ms (0.4%)

Algorithm
batch-egg-rewrite
Rules
1734×add-sqr-sqrt
1718×*-un-lft-identity
1594×add-cube-cbrt
1566×add-cbrt-cube
174×pow1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0913
117913
2218513
Stop Event
node limit
Counts
1 → 25
Calls
Call 1
Inputs
(*.f64 (/.f64 1 t) (*.f64 z y))
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 1 (/.f64 t (*.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 z (/.f64 t y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 y (/.f64 t z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 z y) t)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (*.f64 z y)) (/.f64 t (sqrt.f64 (*.f64 z y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (*.f64 z y)) 2) (/.f64 t (cbrt.f64 (*.f64 z y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 z y) -1) (neg.f64 t))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (*.f64 z y)) (neg.f64 t))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 z y) 1) t)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 z y) (sqrt.f64 t)) (sqrt.f64 t))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 z y) (pow.f64 (cbrt.f64 t) 2)) (cbrt.f64 t))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 z y)) (neg.f64 t))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y (/.f64 z t)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 y (/.f64 z t))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 y (/.f64 z t))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 y (/.f64 z t)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 y (/.f64 z t)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 y (/.f64 z t))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 y (/.f64 z t)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 y (/.f64 z t)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 y (/.f64 z t))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 y (/.f64 z t))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 y (/.f64 z t))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 y (/.f64 z t))))))))

simplify62.0ms (0.4%)

Algorithm
egg-herbie
Rules
1158×associate-*r*
1128×associate-*l*
644×associate-+l+
632×associate-+r+
482×distribute-lft-neg-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
070793
1155793
2605793
34563793
Stop Event
node limit
Counts
61 → 27
Calls
Call 1
Inputs
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (/.f64 z t)))) 1)
(/.f64 1 (/.f64 t (*.f64 z y)))
(/.f64 z (/.f64 t y))
(/.f64 y (/.f64 t z))
(/.f64 (*.f64 z y) t)
(/.f64 (sqrt.f64 (*.f64 z y)) (/.f64 t (sqrt.f64 (*.f64 z y))))
(/.f64 (pow.f64 (cbrt.f64 (*.f64 z y)) 2) (/.f64 t (cbrt.f64 (*.f64 z y))))
(/.f64 (*.f64 (*.f64 z y) -1) (neg.f64 t))
(/.f64 (*.f64 -1 (*.f64 z y)) (neg.f64 t))
(/.f64 (/.f64 (*.f64 z y) 1) t)
(/.f64 (/.f64 (*.f64 z y) (sqrt.f64 t)) (sqrt.f64 t))
(/.f64 (/.f64 (*.f64 z y) (pow.f64 (cbrt.f64 t) 2)) (cbrt.f64 t))
(/.f64 (neg.f64 (*.f64 z y)) (neg.f64 t))
(pow.f64 (*.f64 y (/.f64 z t)) 1)
(pow.f64 (sqrt.f64 (*.f64 y (/.f64 z t))) 2)
(pow.f64 (cbrt.f64 (*.f64 y (/.f64 z t))) 3)
(pow.f64 (pow.f64 (*.f64 y (/.f64 z t)) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 y (/.f64 z t)) 2))
(log.f64 (exp.f64 (*.f64 y (/.f64 z t))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 y (/.f64 z t)))))
(cbrt.f64 (pow.f64 (*.f64 y (/.f64 z t)) 3))
(expm1.f64 (log1p.f64 (*.f64 y (/.f64 z t))))
(exp.f64 (log.f64 (*.f64 y (/.f64 z t))))
(exp.f64 (*.f64 (log.f64 (*.f64 y (/.f64 z t))) 1))
(log1p.f64 (expm1.f64 (*.f64 y (/.f64 z t))))
Outputs
(/.f64 (*.f64 y z) t)
(*.f64 y (/.f64 z t))
(/.f64 (*.f64 y z) t)
(*.f64 y (/.f64 z t))
(/.f64 (*.f64 y z) t)
(*.f64 y (/.f64 z t))
(/.f64 (*.f64 y z) t)
(*.f64 y (/.f64 z t))
(/.f64 (*.f64 y z) t)
(*.f64 y (/.f64 z t))
(/.f64 (*.f64 y z) t)
(*.f64 y (/.f64 z t))
(/.f64 (*.f64 y z) t)
(*.f64 y (/.f64 z t))
(/.f64 (*.f64 y z) t)
(*.f64 y (/.f64 z t))
(/.f64 (*.f64 y z) t)
(*.f64 y (/.f64 z t))
(/.f64 (*.f64 y z) t)
(*.f64 y (/.f64 z t))
(/.f64 (*.f64 y z) t)
(*.f64 y (/.f64 z t))
(/.f64 (*.f64 y z) t)
(*.f64 y (/.f64 z t))
(/.f64 (*.f64 y z) t)
(*.f64 y (/.f64 z t))
(/.f64 (*.f64 y z) t)
(*.f64 y (/.f64 z t))
(/.f64 (*.f64 y z) t)
(*.f64 y (/.f64 z t))
(/.f64 (*.f64 y z) t)
(*.f64 y (/.f64 z t))
(/.f64 (*.f64 y z) t)
(*.f64 y (/.f64 z t))
(/.f64 (*.f64 y z) t)
(*.f64 y (/.f64 z t))
(/.f64 (*.f64 y z) t)
(*.f64 y (/.f64 z t))
(/.f64 (*.f64 y z) t)
(*.f64 y (/.f64 z t))
(/.f64 (*.f64 y z) t)
(*.f64 y (/.f64 z t))
(/.f64 (*.f64 y z) t)
(*.f64 y (/.f64 z t))
(/.f64 (*.f64 y z) t)
(*.f64 y (/.f64 z t))
(/.f64 (*.f64 y z) t)
(*.f64 y (/.f64 z t))
(/.f64 (*.f64 y z) t)
(*.f64 y (/.f64 z t))
(/.f64 (*.f64 y z) t)
(*.f64 y (/.f64 z t))
(/.f64 (*.f64 y z) t)
(*.f64 y (/.f64 z t))
(/.f64 (*.f64 y z) t)
(*.f64 y (/.f64 z t))
(/.f64 (*.f64 y z) t)
(*.f64 y (/.f64 z t))
(/.f64 (*.f64 y z) t)
(*.f64 y (/.f64 z t))
(/.f64 (*.f64 y z) t)
(*.f64 y (/.f64 z t))
(/.f64 (*.f64 y z) t)
(*.f64 y (/.f64 z t))
(/.f64 (*.f64 y z) t)
(*.f64 y (/.f64 z t))
(/.f64 (*.f64 y z) t)
(*.f64 y (/.f64 z t))
(/.f64 (*.f64 y z) t)
(*.f64 y (/.f64 z t))
(/.f64 (*.f64 y z) t)
(*.f64 y (/.f64 z t))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (/.f64 z t)))) 1)
(*.f64 y (/.f64 z t))
(/.f64 1 (/.f64 t (*.f64 z y)))
(*.f64 y (/.f64 z t))
(/.f64 z (/.f64 t y))
(*.f64 y (/.f64 z t))
(/.f64 y (/.f64 t z))
(*.f64 y (/.f64 z t))
(/.f64 (*.f64 z y) t)
(*.f64 y (/.f64 z t))
(/.f64 (sqrt.f64 (*.f64 z y)) (/.f64 t (sqrt.f64 (*.f64 z y))))
(*.f64 y (/.f64 z t))
(/.f64 (pow.f64 (cbrt.f64 (*.f64 z y)) 2) (/.f64 t (cbrt.f64 (*.f64 z y))))
(*.f64 y (/.f64 z t))
(/.f64 (*.f64 (*.f64 z y) -1) (neg.f64 t))
(*.f64 y (/.f64 z t))
(/.f64 (*.f64 -1 (*.f64 z y)) (neg.f64 t))
(*.f64 y (/.f64 z t))
(/.f64 (/.f64 (*.f64 z y) 1) t)
(*.f64 y (/.f64 z t))
(/.f64 (/.f64 (*.f64 z y) (sqrt.f64 t)) (sqrt.f64 t))
(*.f64 y (/.f64 z t))
(/.f64 (/.f64 (*.f64 z y) (pow.f64 (cbrt.f64 t) 2)) (cbrt.f64 t))
(*.f64 y (/.f64 z t))
(/.f64 (neg.f64 (*.f64 z y)) (neg.f64 t))
(*.f64 y (/.f64 z t))
(pow.f64 (*.f64 y (/.f64 z t)) 1)
(*.f64 y (/.f64 z t))
(pow.f64 (sqrt.f64 (*.f64 y (/.f64 z t))) 2)
(*.f64 y (/.f64 z t))
(pow.f64 (cbrt.f64 (*.f64 y (/.f64 z t))) 3)
(*.f64 y (/.f64 z t))
(pow.f64 (pow.f64 (*.f64 y (/.f64 z t)) 3) 1/3)
(*.f64 y (/.f64 z t))
(sqrt.f64 (pow.f64 (*.f64 y (/.f64 z t)) 2))
(*.f64 y (/.f64 z t))
(log.f64 (exp.f64 (*.f64 y (/.f64 z t))))
(*.f64 y (/.f64 z t))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 y (/.f64 z t)))))
(*.f64 y (/.f64 z t))
(cbrt.f64 (pow.f64 (*.f64 y (/.f64 z t)) 3))
(*.f64 y (/.f64 z t))
(expm1.f64 (log1p.f64 (*.f64 y (/.f64 z t))))
(*.f64 y (/.f64 z t))
(exp.f64 (log.f64 (*.f64 y (/.f64 z t))))
(*.f64 y (/.f64 z t))
(exp.f64 (*.f64 (log.f64 (*.f64 y (/.f64 z t))) 1))
(*.f64 y (/.f64 z t))
(log1p.f64 (expm1.f64 (*.f64 y (/.f64 z t))))
(*.f64 y (/.f64 z t))

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(*.f64 (expm1.f64 z) y)
2.7b
(/.f64 (*.f64 (expm1.f64 z) y) t)
Compiler

Compiled 28 to 8 computations (71.4% saved)

series3.0ms (0%)

Counts
2 → 60
Calls

15 calls:

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

rewrite62.0ms (0.4%)

Algorithm
batch-egg-rewrite
Rules
1936×add-sqr-sqrt
1924×*-un-lft-identity
1786×add-cube-cbrt
1758×add-cbrt-cube
186×pow1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0928
118028
2235928
Stop Event
node limit
Counts
2 → 56
Calls
Call 1
Inputs
(/.f64 (*.f64 (expm1.f64 z) y) t)
(*.f64 (expm1.f64 z) y)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 (expm1.f64 z) t) y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (exp.f64 z) (/.f64 t y)) (/.f64 1 (/.f64 t y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (expm1.f64 z) (*.f64 y (/.f64 1 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (expm1.f64 z) (/.f64 1 (/.f64 t y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (*.f64 (expm1.f64 z) (/.f64 1 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (expm1.f64 z) y) (/.f64 1 t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (expm1.f64 z) t) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (/.f64 (expm1.f64 z) t) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (/.f64 (expm1.f64 z) t) y)) (sqrt.f64 (*.f64 (/.f64 (expm1.f64 z) t) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (expm1.f64 z) y)) (*.f64 (sqrt.f64 (*.f64 (expm1.f64 z) y)) (/.f64 1 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (/.f64 (expm1.f64 z) t) y)) (pow.f64 (cbrt.f64 (*.f64 (/.f64 (expm1.f64 z) t) y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 (expm1.f64 z) t) y)) 2) (cbrt.f64 (*.f64 (/.f64 (expm1.f64 z) t) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (expm1.f64 z) y)) 2) (*.f64 (cbrt.f64 (*.f64 (expm1.f64 z) y)) (/.f64 1 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 t) (*.f64 (expm1.f64 z) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (expm1.f64 z) (neg.f64 y)) (/.f64 1 (neg.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 t)) (/.f64 (*.f64 (expm1.f64 z) y) (sqrt.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 t) 2)) (/.f64 (*.f64 (expm1.f64 z) y) (cbrt.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (sqrt.f64 t)) (/.f64 (expm1.f64 z) (sqrt.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (expm1.f64 z) t) y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (expm1.f64 z) 1) (/.f64 y t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (expm1.f64 z) (sqrt.f64 t)) (/.f64 y (sqrt.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (expm1.f64 z) (pow.f64 (cbrt.f64 t) 2)) (/.f64 y (cbrt.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y 1) (/.f64 (expm1.f64 z) t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (pow.f64 (cbrt.f64 t) 2)) (/.f64 (expm1.f64 z) (cbrt.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 (expm1.f64 z) y)) 1) (/.f64 (sqrt.f64 (*.f64 (expm1.f64 z) y)) t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 (expm1.f64 z) y)) (pow.f64 (cbrt.f64 t) 2)) (/.f64 (sqrt.f64 (*.f64 (expm1.f64 z) y)) (cbrt.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (expm1.f64 z) y)) 2) 1) (/.f64 (cbrt.f64 (*.f64 (expm1.f64 z) y)) t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (expm1.f64 z) y)) 2) (sqrt.f64 t)) (/.f64 (cbrt.f64 (*.f64 (expm1.f64 z) y)) (sqrt.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (expm1.f64 z) y)) 2) (pow.f64 (cbrt.f64 t) 2)) (cbrt.f64 (*.f64 (/.f64 (expm1.f64 z) t) y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 (expm1.f64 z) t) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 (expm1.f64 z) t) y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 (expm1.f64 z) t) y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 (expm1.f64 z) t) y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 t y) (expm1.f64 z)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 (expm1.f64 z) y) (neg.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (/.f64 (expm1.f64 z) t) y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (/.f64 (expm1.f64 z) t) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 (expm1.f64 z) t) y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 (expm1.f64 z) t) y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 (expm1.f64 z) t) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 (expm1.f64 z) t) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 (expm1.f64 z) t) y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 (expm1.f64 z) t) y)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (expm1.f64 z) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (expm1.f64 z) y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (expm1.f64 z) y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (expm1.f64 z) y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (expm1.f64 z) y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (expm1.f64 z)) y))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (expm1.f64 z) y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (expm1.f64 z) y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (expm1.f64 z) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (expm1.f64 z) y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (expm1.f64 z) y)))))))

simplify55.0ms (0.4%)

Algorithm
egg-herbie
Rules
1600×associate-/l*
754×unswap-sqr
676×*-commutative
656×distribute-lft-in
644×distribute-rgt-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01682236
14352176
218852170
Stop Event
node limit
Counts
116 → 95
Calls
Call 1
Inputs
(/.f64 (*.f64 y z) t)
(+.f64 (/.f64 (*.f64 y z) t) (*.f64 1/2 (/.f64 (*.f64 y (pow.f64 z 2)) t)))
(+.f64 (*.f64 1/6 (/.f64 (*.f64 y (pow.f64 z 3)) t)) (+.f64 (/.f64 (*.f64 y z) t) (*.f64 1/2 (/.f64 (*.f64 y (pow.f64 z 2)) t))))
(+.f64 (*.f64 1/24 (/.f64 (*.f64 y (pow.f64 z 4)) t)) (+.f64 (*.f64 1/6 (/.f64 (*.f64 y (pow.f64 z 3)) t)) (+.f64 (/.f64 (*.f64 y z) t) (*.f64 1/2 (/.f64 (*.f64 y (pow.f64 z 2)) t)))))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(*.f64 y z)
(+.f64 (*.f64 y z) (*.f64 1/2 (*.f64 y (pow.f64 z 2))))
(+.f64 (*.f64 y z) (+.f64 (*.f64 1/2 (*.f64 y (pow.f64 z 2))) (*.f64 1/6 (*.f64 y (pow.f64 z 3)))))
(+.f64 (*.f64 y z) (+.f64 (*.f64 1/2 (*.f64 y (pow.f64 z 2))) (+.f64 (*.f64 1/24 (*.f64 y (pow.f64 z 4))) (*.f64 1/6 (*.f64 y (pow.f64 z 3))))))
(*.f64 (-.f64 (exp.f64 z) 1) y)
(*.f64 (-.f64 (exp.f64 z) 1) y)
(*.f64 (-.f64 (exp.f64 z) 1) y)
(*.f64 (-.f64 (exp.f64 z) 1) y)
(*.f64 (-.f64 (exp.f64 z) 1) y)
(*.f64 (-.f64 (exp.f64 z) 1) y)
(*.f64 (-.f64 (exp.f64 z) 1) y)
(*.f64 (-.f64 (exp.f64 z) 1) y)
(*.f64 (-.f64 (exp.f64 z) 1) y)
(*.f64 (-.f64 (exp.f64 z) 1) y)
(*.f64 (-.f64 (exp.f64 z) 1) y)
(*.f64 (-.f64 (exp.f64 z) 1) y)
(*.f64 (-.f64 (exp.f64 z) 1) y)
(*.f64 (-.f64 (exp.f64 z) 1) y)
(*.f64 (-.f64 (exp.f64 z) 1) y)
(*.f64 (-.f64 (exp.f64 z) 1) y)
(*.f64 (-.f64 (exp.f64 z) 1) y)
(*.f64 (-.f64 (exp.f64 z) 1) y)
(*.f64 (-.f64 (exp.f64 z) 1) y)
(*.f64 (-.f64 (exp.f64 z) 1) y)
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 (expm1.f64 z) t) y))) 1)
(-.f64 (/.f64 (exp.f64 z) (/.f64 t y)) (/.f64 1 (/.f64 t y)))
(*.f64 (expm1.f64 z) (*.f64 y (/.f64 1 t)))
(*.f64 (expm1.f64 z) (/.f64 1 (/.f64 t y)))
(*.f64 y (*.f64 (expm1.f64 z) (/.f64 1 t)))
(*.f64 (*.f64 (expm1.f64 z) y) (/.f64 1 t))
(*.f64 (*.f64 (/.f64 (expm1.f64 z) t) y) 1)
(*.f64 1 (*.f64 (/.f64 (expm1.f64 z) t) y))
(*.f64 (sqrt.f64 (*.f64 (/.f64 (expm1.f64 z) t) y)) (sqrt.f64 (*.f64 (/.f64 (expm1.f64 z) t) y)))
(*.f64 (sqrt.f64 (*.f64 (expm1.f64 z) y)) (*.f64 (sqrt.f64 (*.f64 (expm1.f64 z) y)) (/.f64 1 t)))
(*.f64 (cbrt.f64 (*.f64 (/.f64 (expm1.f64 z) t) y)) (pow.f64 (cbrt.f64 (*.f64 (/.f64 (expm1.f64 z) t) y)) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 (expm1.f64 z) t) y)) 2) (cbrt.f64 (*.f64 (/.f64 (expm1.f64 z) t) y)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (expm1.f64 z) y)) 2) (*.f64 (cbrt.f64 (*.f64 (expm1.f64 z) y)) (/.f64 1 t)))
(*.f64 (/.f64 1 t) (*.f64 (expm1.f64 z) y))
(*.f64 (*.f64 (expm1.f64 z) (neg.f64 y)) (/.f64 1 (neg.f64 t)))
(*.f64 (/.f64 1 (sqrt.f64 t)) (/.f64 (*.f64 (expm1.f64 z) y) (sqrt.f64 t)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 t) 2)) (/.f64 (*.f64 (expm1.f64 z) y) (cbrt.f64 t)))
(*.f64 (/.f64 y (sqrt.f64 t)) (/.f64 (expm1.f64 z) (sqrt.f64 t)))
(*.f64 (/.f64 (expm1.f64 z) t) 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 y 1) (/.f64 (expm1.f64 z) t))
(*.f64 (/.f64 y (pow.f64 (cbrt.f64 t) 2)) (/.f64 (expm1.f64 z) (cbrt.f64 t)))
(*.f64 (/.f64 (sqrt.f64 (*.f64 (expm1.f64 z) y)) 1) (/.f64 (sqrt.f64 (*.f64 (expm1.f64 z) y)) t))
(*.f64 (/.f64 (sqrt.f64 (*.f64 (expm1.f64 z) y)) (pow.f64 (cbrt.f64 t) 2)) (/.f64 (sqrt.f64 (*.f64 (expm1.f64 z) y)) (cbrt.f64 t)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (expm1.f64 z) y)) 2) 1) (/.f64 (cbrt.f64 (*.f64 (expm1.f64 z) y)) t))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (expm1.f64 z) y)) 2) (sqrt.f64 t)) (/.f64 (cbrt.f64 (*.f64 (expm1.f64 z) y)) (sqrt.f64 t)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (expm1.f64 z) y)) 2) (pow.f64 (cbrt.f64 t) 2)) (cbrt.f64 (*.f64 (/.f64 (expm1.f64 z) t) y)))
(pow.f64 (*.f64 (/.f64 (expm1.f64 z) t) y) 1)
(pow.f64 (sqrt.f64 (*.f64 (/.f64 (expm1.f64 z) t) y)) 2)
(pow.f64 (cbrt.f64 (*.f64 (/.f64 (expm1.f64 z) t) y)) 3)
(pow.f64 (pow.f64 (*.f64 (/.f64 (expm1.f64 z) t) y) 3) 1/3)
(pow.f64 (/.f64 (/.f64 t y) (expm1.f64 z)) -1)
(neg.f64 (/.f64 (*.f64 (expm1.f64 z) y) (neg.f64 t)))
(sqrt.f64 (pow.f64 (*.f64 (/.f64 (expm1.f64 z) t) y) 2))
(log.f64 (exp.f64 (*.f64 (/.f64 (expm1.f64 z) t) y)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 (expm1.f64 z) t) y))))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 (expm1.f64 z) t) y) 3))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 (expm1.f64 z) t) y)))
(exp.f64 (log.f64 (*.f64 (/.f64 (expm1.f64 z) t) y)))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 (expm1.f64 z) t) y)) 1))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 (expm1.f64 z) t) y)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) 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 (expm1.f64 z)) y))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (expm1.f64 z) y))))
(cbrt.f64 (pow.f64 (*.f64 (expm1.f64 z) y) 3))
(expm1.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)))
(exp.f64 (log.f64 (*.f64 (expm1.f64 z) y)))
(exp.f64 (*.f64 (log.f64 (*.f64 (expm1.f64 z) y)) 1))
(log1p.f64 (expm1.f64 (*.f64 (expm1.f64 z) y)))
Outputs
(/.f64 (*.f64 y z) t)
(/.f64 y (/.f64 t z))
(*.f64 (/.f64 y t) z)
(*.f64 z (/.f64 y t))
(+.f64 (/.f64 (*.f64 y z) t) (*.f64 1/2 (/.f64 (*.f64 y (pow.f64 z 2)) t)))
(+.f64 (/.f64 y (/.f64 t z)) (*.f64 1/2 (/.f64 (*.f64 y (*.f64 z z)) t)))
(fma.f64 1/2 (*.f64 (/.f64 y t) (*.f64 z z)) (*.f64 (/.f64 y t) z))
(fma.f64 1/2 (*.f64 (*.f64 z (/.f64 y t)) z) (*.f64 z (/.f64 y t)))
(+.f64 (*.f64 1/6 (/.f64 (*.f64 y (pow.f64 z 3)) t)) (+.f64 (/.f64 (*.f64 y z) t) (*.f64 1/2 (/.f64 (*.f64 y (pow.f64 z 2)) t))))
(fma.f64 1/6 (/.f64 y (/.f64 t (pow.f64 z 3))) (+.f64 (/.f64 y (/.f64 t z)) (*.f64 1/2 (/.f64 (*.f64 y (*.f64 z z)) t))))
(fma.f64 1/6 (*.f64 (/.f64 y t) (pow.f64 z 3)) (fma.f64 1/2 (*.f64 (/.f64 y t) (*.f64 z z)) (*.f64 (/.f64 y t) z)))
(fma.f64 1/2 (*.f64 (*.f64 z (/.f64 y t)) z) (fma.f64 1/6 (*.f64 (pow.f64 z 3) (/.f64 y t)) (*.f64 z (/.f64 y t))))
(+.f64 (*.f64 1/24 (/.f64 (*.f64 y (pow.f64 z 4)) t)) (+.f64 (*.f64 1/6 (/.f64 (*.f64 y (pow.f64 z 3)) t)) (+.f64 (/.f64 (*.f64 y z) t) (*.f64 1/2 (/.f64 (*.f64 y (pow.f64 z 2)) t)))))
(fma.f64 1/24 (/.f64 y (/.f64 t (pow.f64 z 4))) (fma.f64 1/6 (/.f64 y (/.f64 t (pow.f64 z 3))) (+.f64 (/.f64 y (/.f64 t z)) (*.f64 1/2 (/.f64 (*.f64 y (*.f64 z z)) t)))))
(fma.f64 1/24 (*.f64 (/.f64 y t) (pow.f64 z 4)) (fma.f64 1/6 (*.f64 (/.f64 y t) (pow.f64 z 3)) (fma.f64 1/2 (*.f64 (/.f64 y t) (*.f64 z z)) (*.f64 (/.f64 y t) z))))
(fma.f64 1/6 (*.f64 (pow.f64 z 3) (/.f64 y t)) (fma.f64 1/24 (*.f64 (pow.f64 z 4) (/.f64 y t)) (fma.f64 1/2 (*.f64 (*.f64 z (/.f64 y t)) z) (*.f64 z (/.f64 y t)))))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(*.f64 y (/.f64 (expm1.f64 z) t))
(*.f64 (expm1.f64 z) (/.f64 y t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(*.f64 y (/.f64 (expm1.f64 z) t))
(*.f64 (expm1.f64 z) (/.f64 y t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(*.f64 y (/.f64 (expm1.f64 z) t))
(*.f64 (expm1.f64 z) (/.f64 y t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(*.f64 y (/.f64 (expm1.f64 z) t))
(*.f64 (expm1.f64 z) (/.f64 y t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(*.f64 y (/.f64 (expm1.f64 z) t))
(*.f64 (expm1.f64 z) (/.f64 y t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(*.f64 y (/.f64 (expm1.f64 z) t))
(*.f64 (expm1.f64 z) (/.f64 y t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(*.f64 y (/.f64 (expm1.f64 z) t))
(*.f64 (expm1.f64 z) (/.f64 y t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(*.f64 y (/.f64 (expm1.f64 z) t))
(*.f64 (expm1.f64 z) (/.f64 y t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(*.f64 y (/.f64 (expm1.f64 z) t))
(*.f64 (expm1.f64 z) (/.f64 y t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(*.f64 y (/.f64 (expm1.f64 z) t))
(*.f64 (expm1.f64 z) (/.f64 y t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(*.f64 y (/.f64 (expm1.f64 z) t))
(*.f64 (expm1.f64 z) (/.f64 y t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(*.f64 y (/.f64 (expm1.f64 z) t))
(*.f64 (expm1.f64 z) (/.f64 y t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(*.f64 y (/.f64 (expm1.f64 z) t))
(*.f64 (expm1.f64 z) (/.f64 y t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(*.f64 y (/.f64 (expm1.f64 z) t))
(*.f64 (expm1.f64 z) (/.f64 y t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(*.f64 y (/.f64 (expm1.f64 z) t))
(*.f64 (expm1.f64 z) (/.f64 y t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(*.f64 y (/.f64 (expm1.f64 z) t))
(*.f64 (expm1.f64 z) (/.f64 y t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(*.f64 y (/.f64 (expm1.f64 z) t))
(*.f64 (expm1.f64 z) (/.f64 y t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(*.f64 y (/.f64 (expm1.f64 z) t))
(*.f64 (expm1.f64 z) (/.f64 y t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(*.f64 y (/.f64 (expm1.f64 z) t))
(*.f64 (expm1.f64 z) (/.f64 y t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(*.f64 y (/.f64 (expm1.f64 z) t))
(*.f64 (expm1.f64 z) (/.f64 y t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(*.f64 y (/.f64 (expm1.f64 z) t))
(*.f64 (expm1.f64 z) (/.f64 y t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(*.f64 y (/.f64 (expm1.f64 z) t))
(*.f64 (expm1.f64 z) (/.f64 y t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(*.f64 y (/.f64 (expm1.f64 z) t))
(*.f64 (expm1.f64 z) (/.f64 y t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(*.f64 y (/.f64 (expm1.f64 z) t))
(*.f64 (expm1.f64 z) (/.f64 y t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(*.f64 y (/.f64 (expm1.f64 z) t))
(*.f64 (expm1.f64 z) (/.f64 y t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(*.f64 y (/.f64 (expm1.f64 z) t))
(*.f64 (expm1.f64 z) (/.f64 y t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(*.f64 y (/.f64 (expm1.f64 z) t))
(*.f64 (expm1.f64 z) (/.f64 y t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(*.f64 y (/.f64 (expm1.f64 z) t))
(*.f64 (expm1.f64 z) (/.f64 y t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(*.f64 y (/.f64 (expm1.f64 z) t))
(*.f64 (expm1.f64 z) (/.f64 y t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(*.f64 y (/.f64 (expm1.f64 z) t))
(*.f64 (expm1.f64 z) (/.f64 y t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(*.f64 y (/.f64 (expm1.f64 z) t))
(*.f64 (expm1.f64 z) (/.f64 y t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(*.f64 y (/.f64 (expm1.f64 z) t))
(*.f64 (expm1.f64 z) (/.f64 y t))
(*.f64 y z)
(+.f64 (*.f64 y z) (*.f64 1/2 (*.f64 y (pow.f64 z 2))))
(fma.f64 y z (*.f64 (*.f64 1/2 y) (*.f64 z z)))
(fma.f64 y z (*.f64 (*.f64 z z) (*.f64 y 1/2)))
(*.f64 z (+.f64 (*.f64 z (*.f64 y 1/2)) y))
(+.f64 (*.f64 y z) (+.f64 (*.f64 1/2 (*.f64 y (pow.f64 z 2))) (*.f64 1/6 (*.f64 y (pow.f64 z 3)))))
(fma.f64 y z (fma.f64 1/2 (*.f64 y (*.f64 z z)) (*.f64 1/6 (*.f64 y (pow.f64 z 3)))))
(fma.f64 y z (fma.f64 1/2 (*.f64 y (*.f64 z z)) (*.f64 y (*.f64 (pow.f64 z 3) 1/6))))
(fma.f64 y z (*.f64 (*.f64 z z) (+.f64 (*.f64 y 1/2) (*.f64 z (*.f64 y 1/6)))))
(+.f64 (*.f64 y z) (+.f64 (*.f64 1/2 (*.f64 y (pow.f64 z 2))) (+.f64 (*.f64 1/24 (*.f64 y (pow.f64 z 4))) (*.f64 1/6 (*.f64 y (pow.f64 z 3))))))
(fma.f64 y z (fma.f64 1/2 (*.f64 y (*.f64 z z)) (fma.f64 1/24 (*.f64 y (pow.f64 z 4)) (*.f64 1/6 (*.f64 y (pow.f64 z 3))))))
(fma.f64 y z (fma.f64 1/2 (*.f64 y (*.f64 z z)) (fma.f64 1/6 (*.f64 y (pow.f64 z 3)) (*.f64 (pow.f64 z 4) (*.f64 y 1/24)))))
(fma.f64 y z (fma.f64 y (*.f64 1/24 (pow.f64 z 4)) (*.f64 (*.f64 z z) (+.f64 (*.f64 y 1/2) (*.f64 z (*.f64 y 1/6))))))
(*.f64 (-.f64 (exp.f64 z) 1) y)
(*.f64 y (expm1.f64 z))
(*.f64 (-.f64 (exp.f64 z) 1) y)
(*.f64 y (expm1.f64 z))
(*.f64 (-.f64 (exp.f64 z) 1) y)
(*.f64 y (expm1.f64 z))
(*.f64 (-.f64 (exp.f64 z) 1) y)
(*.f64 y (expm1.f64 z))
(*.f64 (-.f64 (exp.f64 z) 1) y)
(*.f64 y (expm1.f64 z))
(*.f64 (-.f64 (exp.f64 z) 1) y)
(*.f64 y (expm1.f64 z))
(*.f64 (-.f64 (exp.f64 z) 1) y)
(*.f64 y (expm1.f64 z))
(*.f64 (-.f64 (exp.f64 z) 1) y)
(*.f64 y (expm1.f64 z))
(*.f64 (-.f64 (exp.f64 z) 1) y)
(*.f64 y (expm1.f64 z))
(*.f64 (-.f64 (exp.f64 z) 1) y)
(*.f64 y (expm1.f64 z))
(*.f64 (-.f64 (exp.f64 z) 1) y)
(*.f64 y (expm1.f64 z))
(*.f64 (-.f64 (exp.f64 z) 1) y)
(*.f64 y (expm1.f64 z))
(*.f64 (-.f64 (exp.f64 z) 1) y)
(*.f64 y (expm1.f64 z))
(*.f64 (-.f64 (exp.f64 z) 1) y)
(*.f64 y (expm1.f64 z))
(*.f64 (-.f64 (exp.f64 z) 1) y)
(*.f64 y (expm1.f64 z))
(*.f64 (-.f64 (exp.f64 z) 1) y)
(*.f64 y (expm1.f64 z))
(*.f64 (-.f64 (exp.f64 z) 1) y)
(*.f64 y (expm1.f64 z))
(*.f64 (-.f64 (exp.f64 z) 1) y)
(*.f64 y (expm1.f64 z))
(*.f64 (-.f64 (exp.f64 z) 1) y)
(*.f64 y (expm1.f64 z))
(*.f64 (-.f64 (exp.f64 z) 1) y)
(*.f64 y (expm1.f64 z))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 (expm1.f64 z) t) y))) 1)
(*.f64 y (/.f64 (expm1.f64 z) t))
(*.f64 (expm1.f64 z) (/.f64 y t))
(-.f64 (/.f64 (exp.f64 z) (/.f64 t y)) (/.f64 1 (/.f64 t y)))
(*.f64 y (/.f64 (expm1.f64 z) t))
(*.f64 (expm1.f64 z) (/.f64 y t))
(*.f64 (expm1.f64 z) (*.f64 y (/.f64 1 t)))
(*.f64 y (/.f64 (expm1.f64 z) t))
(*.f64 (expm1.f64 z) (/.f64 y t))
(*.f64 (expm1.f64 z) (/.f64 1 (/.f64 t y)))
(*.f64 y (/.f64 (expm1.f64 z) t))
(*.f64 (expm1.f64 z) (/.f64 y t))
(*.f64 y (*.f64 (expm1.f64 z) (/.f64 1 t)))
(*.f64 y (/.f64 (expm1.f64 z) t))
(*.f64 (expm1.f64 z) (/.f64 y t))
(*.f64 (*.f64 (expm1.f64 z) y) (/.f64 1 t))
(*.f64 y (/.f64 (expm1.f64 z) t))
(*.f64 (expm1.f64 z) (/.f64 y t))
(*.f64 (*.f64 (/.f64 (expm1.f64 z) t) y) 1)
(*.f64 y (/.f64 (expm1.f64 z) t))
(*.f64 (expm1.f64 z) (/.f64 y t))
(*.f64 1 (*.f64 (/.f64 (expm1.f64 z) t) y))
(*.f64 y (/.f64 (expm1.f64 z) t))
(*.f64 (expm1.f64 z) (/.f64 y t))
(*.f64 (sqrt.f64 (*.f64 (/.f64 (expm1.f64 z) t) y)) (sqrt.f64 (*.f64 (/.f64 (expm1.f64 z) t) y)))
(*.f64 y (/.f64 (expm1.f64 z) t))
(*.f64 (expm1.f64 z) (/.f64 y t))
(*.f64 (sqrt.f64 (*.f64 (expm1.f64 z) y)) (*.f64 (sqrt.f64 (*.f64 (expm1.f64 z) y)) (/.f64 1 t)))
(*.f64 y (/.f64 (expm1.f64 z) t))
(*.f64 (expm1.f64 z) (/.f64 y t))
(*.f64 (cbrt.f64 (*.f64 (/.f64 (expm1.f64 z) t) y)) (pow.f64 (cbrt.f64 (*.f64 (/.f64 (expm1.f64 z) t) y)) 2))
(*.f64 y (/.f64 (expm1.f64 z) t))
(*.f64 (expm1.f64 z) (/.f64 y t))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 (expm1.f64 z) t) y)) 2) (cbrt.f64 (*.f64 (/.f64 (expm1.f64 z) t) y)))
(*.f64 y (/.f64 (expm1.f64 z) t))
(*.f64 (expm1.f64 z) (/.f64 y t))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (expm1.f64 z) y)) 2) (*.f64 (cbrt.f64 (*.f64 (expm1.f64 z) y)) (/.f64 1 t)))
(*.f64 y (/.f64 (expm1.f64 z) t))
(*.f64 (expm1.f64 z) (/.f64 y t))
(*.f64 (/.f64 1 t) (*.f64 (expm1.f64 z) y))
(*.f64 y (/.f64 (expm1.f64 z) t))
(*.f64 (expm1.f64 z) (/.f64 y t))
(*.f64 (*.f64 (expm1.f64 z) (neg.f64 y)) (/.f64 1 (neg.f64 t)))
(*.f64 y (/.f64 (expm1.f64 z) t))
(*.f64 (expm1.f64 z) (/.f64 y t))
(*.f64 (/.f64 1 (sqrt.f64 t)) (/.f64 (*.f64 (expm1.f64 z) y) (sqrt.f64 t)))
(*.f64 (/.f64 1 (sqrt.f64 t)) (/.f64 (expm1.f64 z) (/.f64 (sqrt.f64 t) y)))
(*.f64 (/.f64 y (sqrt.f64 t)) (/.f64 (expm1.f64 z) (sqrt.f64 t)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 t) 2)) (/.f64 (*.f64 (expm1.f64 z) y) (cbrt.f64 t)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 t) 2)) (/.f64 (expm1.f64 z) (/.f64 (cbrt.f64 t) y)))
(*.f64 (/.f64 (expm1.f64 z) (pow.f64 (cbrt.f64 t) 2)) (/.f64 y (cbrt.f64 t)))
(*.f64 (/.f64 y (sqrt.f64 t)) (/.f64 (expm1.f64 z) (sqrt.f64 t)))
(*.f64 (/.f64 1 (sqrt.f64 t)) (/.f64 (expm1.f64 z) (/.f64 (sqrt.f64 t) y)))
(*.f64 (/.f64 (expm1.f64 z) t) y)
(*.f64 y (/.f64 (expm1.f64 z) t))
(*.f64 (expm1.f64 z) (/.f64 y t))
(*.f64 (/.f64 (expm1.f64 z) 1) (/.f64 y t))
(*.f64 y (/.f64 (expm1.f64 z) t))
(*.f64 (expm1.f64 z) (/.f64 y t))
(*.f64 (/.f64 (expm1.f64 z) (sqrt.f64 t)) (/.f64 y (sqrt.f64 t)))
(*.f64 (/.f64 1 (sqrt.f64 t)) (/.f64 (expm1.f64 z) (/.f64 (sqrt.f64 t) y)))
(*.f64 (/.f64 y (sqrt.f64 t)) (/.f64 (expm1.f64 z) (sqrt.f64 t)))
(*.f64 (/.f64 (expm1.f64 z) (pow.f64 (cbrt.f64 t) 2)) (/.f64 y (cbrt.f64 t)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 t) 2)) (/.f64 (expm1.f64 z) (/.f64 (cbrt.f64 t) y)))
(*.f64 (/.f64 y 1) (/.f64 (expm1.f64 z) t))
(*.f64 y (/.f64 (expm1.f64 z) t))
(*.f64 (expm1.f64 z) (/.f64 y t))
(*.f64 (/.f64 y (pow.f64 (cbrt.f64 t) 2)) (/.f64 (expm1.f64 z) (cbrt.f64 t)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 t) 2)) (/.f64 (expm1.f64 z) (/.f64 (cbrt.f64 t) y)))
(*.f64 (/.f64 (expm1.f64 z) (pow.f64 (cbrt.f64 t) 2)) (/.f64 y (cbrt.f64 t)))
(*.f64 (/.f64 (sqrt.f64 (*.f64 (expm1.f64 z) y)) 1) (/.f64 (sqrt.f64 (*.f64 (expm1.f64 z) y)) t))
(*.f64 y (/.f64 (expm1.f64 z) t))
(*.f64 (expm1.f64 z) (/.f64 y t))
(*.f64 (/.f64 (sqrt.f64 (*.f64 (expm1.f64 z) y)) (pow.f64 (cbrt.f64 t) 2)) (/.f64 (sqrt.f64 (*.f64 (expm1.f64 z) y)) (cbrt.f64 t)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 t) 2)) (/.f64 (expm1.f64 z) (/.f64 (cbrt.f64 t) y)))
(*.f64 (/.f64 (expm1.f64 z) (pow.f64 (cbrt.f64 t) 2)) (/.f64 y (cbrt.f64 t)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (expm1.f64 z) y)) 2) 1) (/.f64 (cbrt.f64 (*.f64 (expm1.f64 z) y)) t))
(*.f64 y (/.f64 (expm1.f64 z) t))
(*.f64 (expm1.f64 z) (/.f64 y t))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (expm1.f64 z) y)) 2) (sqrt.f64 t)) (/.f64 (cbrt.f64 (*.f64 (expm1.f64 z) y)) (sqrt.f64 t)))
(*.f64 (/.f64 1 (sqrt.f64 t)) (/.f64 (expm1.f64 z) (/.f64 (sqrt.f64 t) y)))
(*.f64 (/.f64 y (sqrt.f64 t)) (/.f64 (expm1.f64 z) (sqrt.f64 t)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (expm1.f64 z) y)) 2) (pow.f64 (cbrt.f64 t) 2)) (cbrt.f64 (*.f64 (/.f64 (expm1.f64 z) t) y)))
(*.f64 (cbrt.f64 (*.f64 y (/.f64 (expm1.f64 z) t))) (/.f64 (pow.f64 (cbrt.f64 (*.f64 y (expm1.f64 z))) 2) (pow.f64 (cbrt.f64 t) 2)))
(*.f64 (cbrt.f64 (*.f64 (expm1.f64 z) (/.f64 y t))) (/.f64 (pow.f64 (cbrt.f64 (*.f64 y (expm1.f64 z))) 2) (pow.f64 (cbrt.f64 t) 2)))
(/.f64 (pow.f64 (cbrt.f64 (*.f64 y (expm1.f64 z))) 2) (/.f64 (pow.f64 (cbrt.f64 t) 2) (cbrt.f64 (*.f64 (expm1.f64 z) (/.f64 y t)))))
(pow.f64 (*.f64 (/.f64 (expm1.f64 z) t) y) 1)
(*.f64 y (/.f64 (expm1.f64 z) t))
(*.f64 (expm1.f64 z) (/.f64 y t))
(pow.f64 (sqrt.f64 (*.f64 (/.f64 (expm1.f64 z) t) y)) 2)
(*.f64 y (/.f64 (expm1.f64 z) t))
(*.f64 (expm1.f64 z) (/.f64 y t))
(pow.f64 (cbrt.f64 (*.f64 (/.f64 (expm1.f64 z) t) y)) 3)
(*.f64 y (/.f64 (expm1.f64 z) t))
(*.f64 (expm1.f64 z) (/.f64 y t))
(pow.f64 (pow.f64 (*.f64 (/.f64 (expm1.f64 z) t) y) 3) 1/3)
(*.f64 y (/.f64 (expm1.f64 z) t))
(*.f64 (expm1.f64 z) (/.f64 y t))
(pow.f64 (/.f64 (/.f64 t y) (expm1.f64 z)) -1)
(*.f64 y (/.f64 (expm1.f64 z) t))
(*.f64 (expm1.f64 z) (/.f64 y t))
(neg.f64 (/.f64 (*.f64 (expm1.f64 z) y) (neg.f64 t)))
(*.f64 y (/.f64 (expm1.f64 z) t))
(*.f64 (expm1.f64 z) (/.f64 y t))
(sqrt.f64 (pow.f64 (*.f64 (/.f64 (expm1.f64 z) t) y) 2))
(*.f64 y (/.f64 (expm1.f64 z) t))
(*.f64 (expm1.f64 z) (/.f64 y t))
(log.f64 (exp.f64 (*.f64 (/.f64 (expm1.f64 z) t) y)))
(*.f64 y (/.f64 (expm1.f64 z) t))
(*.f64 (expm1.f64 z) (/.f64 y t))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 (expm1.f64 z) t) y))))
(*.f64 y (/.f64 (expm1.f64 z) t))
(*.f64 (expm1.f64 z) (/.f64 y t))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 (expm1.f64 z) t) y) 3))
(*.f64 y (/.f64 (expm1.f64 z) t))
(*.f64 (expm1.f64 z) (/.f64 y t))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 (expm1.f64 z) t) y)))
(*.f64 y (/.f64 (expm1.f64 z) t))
(*.f64 (expm1.f64 z) (/.f64 y t))
(exp.f64 (log.f64 (*.f64 (/.f64 (expm1.f64 z) t) y)))
(*.f64 y (/.f64 (expm1.f64 z) t))
(*.f64 (expm1.f64 z) (/.f64 y t))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 (expm1.f64 z) t) y)) 1))
(*.f64 y (/.f64 (expm1.f64 z) t))
(*.f64 (expm1.f64 z) (/.f64 y t))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 (expm1.f64 z) t) y)))
(*.f64 y (/.f64 (expm1.f64 z) t))
(*.f64 (expm1.f64 z) (/.f64 y t))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) 1)
(*.f64 y (expm1.f64 z))
(pow.f64 (*.f64 (expm1.f64 z) y) 1)
(*.f64 y (expm1.f64 z))
(pow.f64 (sqrt.f64 (*.f64 (expm1.f64 z) y)) 2)
(*.f64 y (expm1.f64 z))
(pow.f64 (cbrt.f64 (*.f64 (expm1.f64 z) y)) 3)
(*.f64 y (expm1.f64 z))
(pow.f64 (pow.f64 (*.f64 (expm1.f64 z) y) 3) 1/3)
(*.f64 y (expm1.f64 z))
(sqrt.f64 (pow.f64 (*.f64 (expm1.f64 z) y) 2))
(*.f64 y (expm1.f64 z))
(log.f64 (pow.f64 (exp.f64 (expm1.f64 z)) y))
(*.f64 y (expm1.f64 z))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (expm1.f64 z) y))))
(*.f64 y (expm1.f64 z))
(cbrt.f64 (pow.f64 (*.f64 (expm1.f64 z) y) 3))
(*.f64 y (expm1.f64 z))
(expm1.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)))
(*.f64 y (expm1.f64 z))
(exp.f64 (log.f64 (*.f64 (expm1.f64 z) y)))
(*.f64 y (expm1.f64 z))
(exp.f64 (*.f64 (log.f64 (*.f64 (expm1.f64 z) y)) 1))
(*.f64 y (expm1.f64 z))
(log1p.f64 (expm1.f64 (*.f64 (expm1.f64 z) y)))
(*.f64 y (expm1.f64 z))

localize18.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(*.f64 y (expm1.f64 z))
0.2b
(/.f64 1 (log1p.f64 (*.f64 y (expm1.f64 z))))
0.5b
(log1p.f64 (*.f64 y (expm1.f64 z)))
3.0b
(/.f64 (/.f64 1 t) (/.f64 1 (log1p.f64 (*.f64 y (expm1.f64 z)))))
Compiler

Compiled 54 to 23 computations (57.4% saved)

series8.0ms (0.1%)

Counts
2 → 60
Calls

15 calls:

TimeVariablePointExpression
2.0ms
y
@inf
(/.f64 1 (log1p.f64 (*.f64 y (expm1.f64 z))))
1.0ms
y
@-inf
(/.f64 1 (log1p.f64 (*.f64 y (expm1.f64 z))))
1.0ms
z
@0
(/.f64 1 (log1p.f64 (*.f64 y (expm1.f64 z))))
0.0ms
y
@0
(/.f64 1 (log1p.f64 (*.f64 y (expm1.f64 z))))
0.0ms
z
@inf
(/.f64 1 (log1p.f64 (*.f64 y (expm1.f64 z))))

rewrite70.0ms (0.5%)

Algorithm
batch-egg-rewrite
Rules
1456×associate-*r/
1162×associate-*l/
1014×associate-/r*
784×associate-/l*
396×associate-/r/
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01354
126442
2331542
Stop Event
node limit
Counts
2 → 70
Calls
Call 1
Inputs
(/.f64 (/.f64 1 t) (/.f64 1 (log1p.f64 (*.f64 y (expm1.f64 z)))))
(/.f64 1 (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 (/.f64 1 t) (log1p.f64 (*.f64 y (expm1.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 t) (neg.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))))))) (#(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 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 t -1/2) (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (sqrt.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (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 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simplify102.0ms (0.7%)

Algorithm
egg-herbie
Rules
1466×associate-*r/
972×associate-+l+
890×+-commutative
808×associate-+r+
674×associate-*r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04096746
111686410
249836404
Stop Event
node limit
Counts
130 → 197
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 (*.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)))))
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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)
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)
(/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))
(+.f64 1/2 (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y)))
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(/.f64 1 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))))
(-.f64 (/.f64 1 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y))))) (/.f64 1 (*.f64 (pow.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) 2) (*.f64 (-.f64 (exp.f64 z) 1) y))))
(-.f64 (+.f64 (/.f64 1 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y))))) (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (*.f64 (pow.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) 2) (pow.f64 y 2))))) (/.f64 1 (*.f64 (pow.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) 3) (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (pow.f64 y 2)))))) (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) (*.f64 (pow.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) 2) y))))
(-.f64 (+.f64 (/.f64 1 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y))))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 3) (pow.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) 4))) (+.f64 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 3) (pow.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) 3))) (*.f64 1/3 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 3) (pow.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) 2)))))) (pow.f64 y 3))) (+.f64 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (*.f64 (pow.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) 3) (pow.f64 y 2)))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (*.f64 (pow.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) 2) (pow.f64 y 2)))))))) (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) (*.f64 (pow.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) 2) y))))
(/.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1)))))
(-.f64 (/.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1))))) (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) (*.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1)))) 2) y))))
(-.f64 (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1)))) 3) (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (pow.f64 y 2)))) (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (*.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1)))) 2) (pow.f64 y 2))))) (/.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1))))))) (/.f64 1 (*.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1)))) 2) (*.f64 (-.f64 (exp.f64 z) 1) y))))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (*.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1)))) 2) (pow.f64 y 2))))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 3) (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1)))) 2)))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 3) (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1)))) 3))))) (*.f64 -1 (/.f64 (+.f64 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1)))) 3))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1)))) 2))))) (*.f64 (-.f64 (exp.f64 z) 1) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1)))))))) (pow.f64 y 3))) (+.f64 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (*.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1)))) 3) (pow.f64 y 2)))) (/.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1)))))))) (/.f64 1 (*.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1)))) 2) (*.f64 (-.f64 (exp.f64 z) 1) y))))
(/.f64 1 (*.f64 y z))
(+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 -1 (pow.f64 y 2)) y) (pow.f64 y 2))) (/.f64 1 (*.f64 y z)))
(+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 -1 (pow.f64 y 2)) y) (pow.f64 y 2))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 1/6 (/.f64 (+.f64 y (+.f64 (*.f64 -3 (pow.f64 y 2)) (*.f64 2 (pow.f64 y 3)))) (pow.f64 y 2))) (*.f64 -1/4 (/.f64 (pow.f64 (+.f64 (*.f64 -1 (pow.f64 y 2)) y) 2) (pow.f64 y 3)))) z)) (/.f64 1 (*.f64 y z))))
(+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 -1 (pow.f64 y 2)) y) (pow.f64 y 2))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 1/6 (/.f64 (+.f64 y (+.f64 (*.f64 -3 (pow.f64 y 2)) (*.f64 2 (pow.f64 y 3)))) (pow.f64 y 2))) (*.f64 -1/4 (/.f64 (pow.f64 (+.f64 (*.f64 -1 (pow.f64 y 2)) y) 2) (pow.f64 y 3)))) z)) (+.f64 (/.f64 1 (*.f64 y z)) (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/12 (/.f64 (*.f64 (+.f64 y (+.f64 (*.f64 -3 (pow.f64 y 2)) (*.f64 2 (pow.f64 y 3)))) (+.f64 (*.f64 -1 (pow.f64 y 2)) y)) (pow.f64 y 3))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (+.f64 (*.f64 -1 (pow.f64 y 2)) y) (+.f64 (*.f64 1/6 (/.f64 (+.f64 (*.f64 -3 (pow.f64 y 2)) (+.f64 y (*.f64 2 (pow.f64 y 3)))) (pow.f64 y 2))) (*.f64 -1/4 (/.f64 (pow.f64 (+.f64 (*.f64 -1 (pow.f64 y 2)) y) 2) (pow.f64 y 3))))) y)) (*.f64 1/24 (/.f64 (+.f64 y (+.f64 (*.f64 -3 (pow.f64 y 2)) (+.f64 (*.f64 12 (pow.f64 y 3)) (+.f64 (*.f64 -4 (pow.f64 y 2)) (*.f64 -6 (pow.f64 y 4)))))) (pow.f64 y 2))))) (pow.f64 z 2))))))
(/.f64 1 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))))
(/.f64 1 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))))
(/.f64 1 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))))
(/.f64 1 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))))
(/.f64 1 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))))
(/.f64 1 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))))
(/.f64 1 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))))
(/.f64 1 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))))
(-.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 (/.f64 1 t) (log1p.f64 (*.f64 y (expm1.f64 z))))
(*.f64 (/.f64 1 t) (neg.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))))
(*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 1)
(*.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (/.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) t))
(*.f64 (pow.f64 t -1/2) (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (sqrt.f64 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 (cbrt.f64 (pow.f64 t -2)) (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (cbrt.f64 t)))
(*.f64 (cbrt.f64 (pow.f64 t -2)) (*.f64 (/.f64 (/.f64 1 (cbrt.f64 t)) 1) (log1p.f64 (*.f64 y (expm1.f64 z)))))
(*.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 (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 -1 t) (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))))
(*.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (/.f64 -1 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))) (sqrt.f64 t)) (pow.f64 t -1/2))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) -2))) (*.f64 (/.f64 1 t) (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))))
(*.f64 (/.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) t) (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))))
(*.f64 (/.f64 (/.f64 1 t) (cbrt.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) -2))) (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))))
(*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t)) -1)
(*.f64 (/.f64 (pow.f64 t -1/2) (cbrt.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) -2))) (*.f64 (pow.f64 t -1/2) (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 t -2)) (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) (/.f64 1 (*.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) -1/2) (cbrt.f64 t))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 t -2)) (cbrt.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) -2))) (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))
(*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (pow.f64 (cbrt.f64 t) 2)) (/.f64 1 (cbrt.f64 t)))
(*.f64 (/.f64 (/.f64 (/.f64 1 t) (cbrt.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) -2))) 1) (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 t -2)) (/.f64 1 (log1p.f64 (*.f64 y (expm1.f64 z))))) (/.f64 1 (cbrt.f64 t)))
(*.f64 (/.f64 1 (/.f64 1 (*.f64 (cbrt.f64 (pow.f64 t -2)) (log1p.f64 (*.f64 y (expm1.f64 z)))))) (/.f64 1 (cbrt.f64 t)))
(*.f64 (/.f64 (/.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) t) (sqrt.f64 -1)) (sqrt.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))))
(*.f64 (/.f64 (/.f64 (/.f64 1 t) (cbrt.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) -2))) -1) (cbrt.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))))
(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))) (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 (/.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 (/.f64 1 (log1p.f64 (*.f64 y (expm1.f64 z)))))) 1)
(*.f64 1 (/.f64 1 (log1p.f64 (*.f64 y (expm1.f64 z)))))
(*.f64 (/.f64 1 (log1p.f64 (*.f64 y (expm1.f64 z)))) 1)
(*.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) -1/2) (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) -1/2))
(*.f64 (cbrt.f64 (/.f64 1 (log1p.f64 (*.f64 y (expm1.f64 z))))) (cbrt.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) -2)))
(*.f64 (cbrt.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) -2)) (cbrt.f64 (/.f64 1 (log1p.f64 (*.f64 y (expm1.f64 z))))))
(*.f64 -1 (/.f64 -1 (log1p.f64 (*.f64 y (expm1.f64 z)))))
(*.f64 (/.f64 -1 (log1p.f64 (*.f64 y (expm1.f64 z)))) -1)
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) -2)) 1) (cbrt.f64 (/.f64 1 (log1p.f64 (*.f64 y (expm1.f64 z))))))
(*.f64 (pow.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) -1) (pow.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) -1))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 2) -1) (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) -1))
(pow.f64 (/.f64 1 (log1p.f64 (*.f64 y (expm1.f64 z)))) 1)
(pow.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) -1/2) 2)
(pow.f64 (cbrt.f64 (/.f64 1 (log1p.f64 (*.f64 y (expm1.f64 z))))) 3)
(pow.f64 (pow.f64 (/.f64 1 (log1p.f64 (*.f64 y (expm1.f64 z)))) 3) 1/3)
(pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) -1)
(sqrt.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) -2))
(log.f64 (exp.f64 (/.f64 1 (log1p.f64 (*.f64 y (expm1.f64 z))))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (log1p.f64 (*.f64 y (expm1.f64 z)))))))
(cbrt.f64 (pow.f64 (/.f64 1 (log1p.f64 (*.f64 y (expm1.f64 z)))) 3))
(expm1.f64 (log1p.f64 (/.f64 1 (log1p.f64 (*.f64 y (expm1.f64 z))))))
(exp.f64 (neg.f64 (log.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) -1))
(exp.f64 (*.f64 (neg.f64 (log.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) 1))
(log1p.f64 (expm1.f64 (/.f64 1 (log1p.f64 (*.f64 y (expm1.f64 z))))))
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 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t) (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (pow.f64 y 2)) t)))
(+.f64 (/.f64 (expm1.f64 z) (/.f64 t y)) (*.f64 -1/2 (/.f64 (pow.f64 (expm1.f64 z) 2) (/.f64 t (*.f64 y y)))))
(fma.f64 -1/2 (*.f64 (/.f64 (pow.f64 (expm1.f64 z) 2) t) (*.f64 y y)) (*.f64 (/.f64 (expm1.f64 z) t) y))
(+.f64 (*.f64 1/3 (/.f64 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 3) (pow.f64 y 3)) t)) (+.f64 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t) (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (pow.f64 y 2)) t))))
(fma.f64 1/3 (/.f64 (pow.f64 (expm1.f64 z) 3) (/.f64 t (pow.f64 y 3))) (+.f64 (/.f64 (expm1.f64 z) (/.f64 t y)) (*.f64 -1/2 (/.f64 (pow.f64 (expm1.f64 z) 2) (/.f64 t (*.f64 y y))))))
(fma.f64 1/3 (*.f64 (/.f64 (pow.f64 (expm1.f64 z) 3) t) (pow.f64 y 3)) (fma.f64 -1/2 (*.f64 (/.f64 (pow.f64 (expm1.f64 z) 2) t) (*.f64 y y)) (*.f64 (/.f64 (expm1.f64 z) t) y)))
(+.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)))))))
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(*.f64 (cbrt.f64 (/.f64 1 (log1p.f64 (*.f64 y (expm1.f64 z))))) (cbrt.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) -2)))
(*.f64 (cbrt.f64 (pow.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) -2)) (cbrt.f64 (/.f64 1 (log1p.f64 (*.f64 (expm1.f64 z) y)))))
(*.f64 (cbrt.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) -2)) (cbrt.f64 (/.f64 1 (log1p.f64 (*.f64 y (expm1.f64 z))))))
(*.f64 (cbrt.f64 (pow.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) -2)) (cbrt.f64 (/.f64 1 (log1p.f64 (*.f64 (expm1.f64 z) y)))))
(*.f64 -1 (/.f64 -1 (log1p.f64 (*.f64 y (expm1.f64 z)))))
(/.f64 1 (log1p.f64 (*.f64 (expm1.f64 z) y)))
(*.f64 (/.f64 -1 (log1p.f64 (*.f64 y (expm1.f64 z)))) -1)
(/.f64 1 (log1p.f64 (*.f64 (expm1.f64 z) y)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) -2)) 1) (cbrt.f64 (/.f64 1 (log1p.f64 (*.f64 y (expm1.f64 z))))))
(*.f64 (cbrt.f64 (pow.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) -2)) (cbrt.f64 (/.f64 1 (log1p.f64 (*.f64 (expm1.f64 z) y)))))
(*.f64 (pow.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) -1) (pow.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) -1))
(pow.f64 (sqrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) -2)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 2) -1) (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) -1))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) 2)) (/.f64 1 (cbrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)))))
(/.f64 (*.f64 1 (/.f64 1 (cbrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))))) (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) 2))
(/.f64 (/.f64 1 (cbrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)))) (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) 2))
(pow.f64 (/.f64 1 (log1p.f64 (*.f64 y (expm1.f64 z)))) 1)
(/.f64 1 (log1p.f64 (*.f64 (expm1.f64 z) y)))
(pow.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) -1/2) 2)
(/.f64 1 (log1p.f64 (*.f64 (expm1.f64 z) y)))
(pow.f64 (cbrt.f64 (/.f64 1 (log1p.f64 (*.f64 y (expm1.f64 z))))) 3)
(/.f64 1 (log1p.f64 (*.f64 (expm1.f64 z) y)))
(pow.f64 (pow.f64 (/.f64 1 (log1p.f64 (*.f64 y (expm1.f64 z)))) 3) 1/3)
(/.f64 1 (log1p.f64 (*.f64 (expm1.f64 z) y)))
(pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) -1)
(/.f64 1 (log1p.f64 (*.f64 (expm1.f64 z) y)))
(sqrt.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) -2))
(sqrt.f64 (pow.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) -2))
(log.f64 (exp.f64 (/.f64 1 (log1p.f64 (*.f64 y (expm1.f64 z))))))
(/.f64 1 (log1p.f64 (*.f64 (expm1.f64 z) y)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (log1p.f64 (*.f64 y (expm1.f64 z)))))))
(/.f64 1 (log1p.f64 (*.f64 (expm1.f64 z) y)))
(cbrt.f64 (pow.f64 (/.f64 1 (log1p.f64 (*.f64 y (expm1.f64 z)))) 3))
(/.f64 1 (log1p.f64 (*.f64 (expm1.f64 z) y)))
(expm1.f64 (log1p.f64 (/.f64 1 (log1p.f64 (*.f64 y (expm1.f64 z))))))
(/.f64 1 (log1p.f64 (*.f64 (expm1.f64 z) y)))
(exp.f64 (neg.f64 (log.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))))
(/.f64 1 (log1p.f64 (*.f64 (expm1.f64 z) y)))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) -1))
(/.f64 1 (log1p.f64 (*.f64 (expm1.f64 z) y)))
(exp.f64 (*.f64 (neg.f64 (log.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) 1))
(/.f64 1 (log1p.f64 (*.f64 (expm1.f64 z) y)))
(log1p.f64 (expm1.f64 (/.f64 1 (log1p.f64 (*.f64 y (expm1.f64 z))))))
(/.f64 1 (log1p.f64 (*.f64 (expm1.f64 z) y)))

eval289.0ms (1.9%)

Compiler

Compiled 21975 to 11109 computations (49.4% saved)

prune180.0ms (1.2%)

Pruning

24 alts after pruning (17 fresh and 7 done)

PrunedKeptTotal
New7937800
Fresh51015
Picked101
Done077
Total79924823
Error
0.2b
Counts
823 → 24
Alt Table
Click to see full alt table
StatusErrorProgram
26.1b
(-.f64 x (pow.f64 (sqrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 2))
1.7b
(-.f64 x (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 3))
12.2b
(-.f64 x (/.f64 (/.f64 1 t) (/.f64 1 (*.f64 (expm1.f64 z) y))))
19.0b
(-.f64 x (/.f64 (/.f64 1 t) (/.f64 1 (*.f64 z y))))
9.5b
(-.f64 x (/.f64 (/.f64 1 t) (+.f64 1/2 (/.f64 1 (*.f64 (expm1.f64 z) y)))))
54.7b
(-.f64 x (/.f64 (+.f64 (log.f64 (expm1.f64 z)) (log.f64 y)) t))
18.0b
(-.f64 x (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
11.9b
(-.f64 x (/.f64 (*.f64 (expm1.f64 z) y) t))
21.8b
(-.f64 x (/.f64 (*.f64 z (+.f64 (*.f64 z (*.f64 y 1/2)) y)) t))
18.7b
(-.f64 x (/.f64 (*.f64 z y) t))
1.3b
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))
20.0b
(-.f64 x (/.f64 (exp.f64 (log.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) t))
5.8b
(-.f64 x (/.f64 (cbrt.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 3)) t))
19.9b
(-.f64 x (/.f64 z (/.f64 t y)))
18.1b
(-.f64 x (/.f64 y (/.f64 t z)))
18.7b
(-.f64 x (/.f64 1 (/.f64 t (*.f64 z y))))
1.3b
(-.f64 x (/.f64 1 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z))))))
9.3b
(-.f64 x (/.f64 1 (+.f64 (/.f64 t (*.f64 (expm1.f64 z) y)) (*.f64 t 1/2))))
20.2b
(-.f64 x (-.f64 (+.f64 1 (*.f64 (/.f64 z t) y)) 1))
22.0b
(-.f64 x (+.f64 (/.f64 y (/.f64 t z)) (*.f64 1/2 (/.f64 (*.f64 y (*.f64 z z)) t))))
18.3b
(-.f64 x (*.f64 (/.f64 z t) y))
20.1b
(-.f64 x (*.f64 (/.f64 y t) z))
19.0b
(-.f64 x (*.f64 (/.f64 1 t) (*.f64 z y)))
20.3b
(-.f64 x (*.f64 (cbrt.f64 (pow.f64 (/.f64 (expm1.f64 z) t) 3)) y))
Compiler

Compiled 603 to 425 computations (29.5% saved)

localize20.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.3b
(pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 3)
0.5b
(log1p.f64 (*.f64 y (expm1.f64 z)))
2.7b
(/.f64 (cbrt.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 3)) t)
22.0b
(cbrt.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 3))
Compiler

Compiled 57 to 22 computations (61.4% saved)

series11.0ms (0.1%)

Counts
3 → 84
Calls

21 calls:

TimeVariablePointExpression
3.0ms
y
@inf
(pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 3)
2.0ms
y
@-inf
(pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 3)
2.0ms
z
@0
(pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 3)
1.0ms
y
@0
(pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 3)
1.0ms
z
@inf
(pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 3)

rewrite137.0ms (0.9%)

Algorithm
batch-egg-rewrite
Rules
1006×*-commutative
824×unswap-sqr
656×associate-/r*
642×swap-sqr
538×associate-*r/
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01357
126657
2296357
Stop Event
node limit
Counts
3 → 125
Calls
Call 1
Inputs
(cbrt.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 3))
(/.f64 (cbrt.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 3)) t)
(pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 3)
Outputs
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(log1p.f64 (*.f64 y (expm1.f64 z))) 3/2) 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 2) 3/4) (pow.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 2) 3/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 3) 3) 1/6) (pow.f64 (pow.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 3) 3) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 6))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 3 (log.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 3)))))))

simplify235.0ms (1.5%)

Algorithm
egg-herbie
Rules
1310×associate-*r*
1154×associate-*l*
748×fma-def
674×*-commutative
586×+-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
059111645
1176810295
Stop Event
node limit
Counts
209 → 294
Calls
Call 1
Inputs
(*.f64 (-.f64 (exp.f64 z) 1) y)
(+.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) (*.f64 -1/2 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (pow.f64 y 2))))
(+.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (pow.f64 y 2))) (*.f64 1/3 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 3) (pow.f64 y 3)))))
(+.f64 (*.f64 -1/4 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 4) (pow.f64 y 4))) (+.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (pow.f64 y 2))) (*.f64 1/3 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 3) (pow.f64 y 3))))))
(+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y))))
(+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (+.f64 (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y)) (*.f64 -1 (log.f64 (/.f64 1 y)))))
(-.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (+.f64 (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y)) (*.f64 -1 (log.f64 (/.f64 1 y))))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (pow.f64 y 2)))))
(-.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (+.f64 (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y)) (+.f64 (*.f64 1/3 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 3) (pow.f64 y 3)))) (*.f64 -1 (log.f64 (/.f64 1 y)))))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (pow.f64 y 2)))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (+.f64 (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y)) (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1)))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (+.f64 (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y)) (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1))))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (pow.f64 y 2)))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (+.f64 (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y)) (+.f64 (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1))) (*.f64 1/3 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 3) (pow.f64 y 3))))))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (pow.f64 y 2)))))
(*.f64 y z)
(+.f64 (*.f64 y z) (*.f64 1/2 (*.f64 (pow.f64 z 2) (+.f64 (*.f64 -1 (pow.f64 y 2)) y))))
(+.f64 (*.f64 y z) (+.f64 (*.f64 1/6 (*.f64 (+.f64 (*.f64 -3 (pow.f64 y 2)) (+.f64 y (*.f64 2 (pow.f64 y 3)))) (pow.f64 z 3))) (*.f64 1/2 (*.f64 (pow.f64 z 2) (+.f64 (*.f64 -1 (pow.f64 y 2)) y)))))
(+.f64 (*.f64 y z) (+.f64 (*.f64 1/6 (*.f64 (+.f64 (*.f64 -3 (pow.f64 y 2)) (+.f64 y (*.f64 2 (pow.f64 y 3)))) (pow.f64 z 3))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 z 2) (+.f64 (*.f64 -1 (pow.f64 y 2)) y))) (*.f64 1/24 (*.f64 (+.f64 (*.f64 -3 (pow.f64 y 2)) (+.f64 y (+.f64 (*.f64 12 (pow.f64 y 3)) (+.f64 (*.f64 -4 (pow.f64 y 2)) (*.f64 -6 (pow.f64 y 4)))))) (pow.f64 z 4))))))
(log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y)))
(log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y)))
(log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y)))
(log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y)))
(log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y)))
(log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y)))
(log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y)))
(log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y)))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(+.f64 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t) (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (pow.f64 y 2)) t)))
(+.f64 (*.f64 1/3 (/.f64 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 3) (pow.f64 y 3)) t)) (+.f64 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t) (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (pow.f64 y 2)) t))))
(+.f64 (*.f64 -1/4 (/.f64 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 4) (pow.f64 y 4)) t)) (+.f64 (*.f64 1/3 (/.f64 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 3) (pow.f64 y 3)) t)) (+.f64 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t) (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (pow.f64 y 2)) t)))))
(/.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) t)
(+.f64 (/.f64 (log.f64 (-.f64 (exp.f64 z) 1)) t) (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 y)) t)) (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) (*.f64 y t)))))
(-.f64 (+.f64 (/.f64 (log.f64 (-.f64 (exp.f64 z) 1)) t) (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 y)) t)) (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) (*.f64 y t))))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (*.f64 (pow.f64 y 2) t)))))
(-.f64 (+.f64 (/.f64 (log.f64 (-.f64 (exp.f64 z) 1)) t) (+.f64 (*.f64 1/3 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 3) (*.f64 (pow.f64 y 3) t)))) (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 y)) t)) (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) (*.f64 y t)))))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (*.f64 (pow.f64 y 2) t)))))
(/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1)))) t)
(+.f64 (/.f64 (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1))) t) (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 y)) t)) (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) (*.f64 y t)))))
(-.f64 (+.f64 (/.f64 (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1))) t) (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 y)) t)) (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) (*.f64 y t))))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (*.f64 (pow.f64 y 2) t)))))
(-.f64 (+.f64 (/.f64 (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1))) t) (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 y)) t)) (+.f64 (*.f64 1/3 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 3) (*.f64 (pow.f64 y 3) t)))) (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) (*.f64 y t)))))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (*.f64 (pow.f64 y 2) t)))))
(/.f64 (*.f64 y z) t)
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 z 2) (+.f64 (*.f64 -1 (pow.f64 y 2)) y)) t)) (/.f64 (*.f64 y z) t))
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 z 2) (+.f64 (*.f64 -1 (pow.f64 y 2)) y)) t)) (+.f64 (*.f64 1/6 (/.f64 (*.f64 (+.f64 y (+.f64 (*.f64 -3 (pow.f64 y 2)) (*.f64 2 (pow.f64 y 3)))) (pow.f64 z 3)) t)) (/.f64 (*.f64 y z) t)))
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 z 2) (+.f64 (*.f64 -1 (pow.f64 y 2)) y)) t)) (+.f64 (*.f64 1/6 (/.f64 (*.f64 (+.f64 y (+.f64 (*.f64 -3 (pow.f64 y 2)) (*.f64 2 (pow.f64 y 3)))) (pow.f64 z 3)) t)) (+.f64 (/.f64 (*.f64 y z) t) (*.f64 1/24 (/.f64 (*.f64 (+.f64 y (+.f64 (*.f64 -3 (pow.f64 y 2)) (+.f64 (*.f64 12 (pow.f64 y 3)) (+.f64 (*.f64 -4 (pow.f64 y 2)) (*.f64 -6 (pow.f64 y 4)))))) (pow.f64 z 4)) t)))))
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)
(*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 3) (pow.f64 y 3))
(+.f64 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 3) (pow.f64 y 3)) (*.f64 (pow.f64 y 4) (+.f64 (*.f64 -1 (pow.f64 (-.f64 (exp.f64 z) 1) 4)) (*.f64 -1/2 (pow.f64 (-.f64 (exp.f64 z) 1) 4)))))
(+.f64 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 3) (pow.f64 y 3)) (+.f64 (*.f64 (pow.f64 y 4) (+.f64 (*.f64 -1 (pow.f64 (-.f64 (exp.f64 z) 1) 4)) (*.f64 -1/2 (pow.f64 (-.f64 (exp.f64 z) 1) 4)))) (*.f64 (+.f64 (*.f64 1/3 (pow.f64 (-.f64 (exp.f64 z) 1) 5)) (+.f64 (*.f64 (-.f64 (exp.f64 z) 1) (+.f64 (*.f64 1/4 (pow.f64 (-.f64 (exp.f64 z) 1) 4)) (*.f64 2/3 (pow.f64 (-.f64 (exp.f64 z) 1) 4)))) (*.f64 1/2 (pow.f64 (-.f64 (exp.f64 z) 1) 5)))) (pow.f64 y 5))))
(+.f64 (*.f64 (+.f64 (*.f64 -1/4 (pow.f64 (-.f64 (exp.f64 z) 1) 6)) (+.f64 (*.f64 -1/2 (*.f64 (+.f64 (*.f64 1/4 (pow.f64 (-.f64 (exp.f64 z) 1) 4)) (*.f64 2/3 (pow.f64 (-.f64 (exp.f64 z) 1) 4))) (pow.f64 (-.f64 (exp.f64 z) 1) 2))) (+.f64 (*.f64 (-.f64 (exp.f64 z) 1) (+.f64 (*.f64 -1/3 (pow.f64 (-.f64 (exp.f64 z) 1) 5)) (*.f64 -1/2 (pow.f64 (-.f64 (exp.f64 z) 1) 5)))) (*.f64 -1/3 (pow.f64 (-.f64 (exp.f64 z) 1) 6))))) (pow.f64 y 6)) (+.f64 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 3) (pow.f64 y 3)) (+.f64 (*.f64 (pow.f64 y 4) (+.f64 (*.f64 -1 (pow.f64 (-.f64 (exp.f64 z) 1) 4)) (*.f64 -1/2 (pow.f64 (-.f64 (exp.f64 z) 1) 4)))) (*.f64 (+.f64 (*.f64 1/3 (pow.f64 (-.f64 (exp.f64 z) 1) 5)) (+.f64 (*.f64 (-.f64 (exp.f64 z) 1) (+.f64 (*.f64 1/4 (pow.f64 (-.f64 (exp.f64 z) 1) 4)) (*.f64 2/3 (pow.f64 (-.f64 (exp.f64 z) 1) 4)))) (*.f64 1/2 (pow.f64 (-.f64 (exp.f64 z) 1) 5)))) (pow.f64 y 5)))))
(pow.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) 3)
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(sqrt.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 2))
(log.f64 (+.f64 (*.f64 y (expm1.f64 z)) 1))
(expm1.f64 (log1p.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))))
(exp.f64 (log.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))))
(log1p.f64 (*.f64 y (expm1.f64 z)))
(-.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 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 1)
(*.f64 1 (/.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 (sqrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) (sqrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 2) (/.f64 (cbrt.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 (/.f64 1 t) (log1p.f64 (*.f64 y (expm1.f64 z))))
(*.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (/.f64 -1 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 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) t) (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 2))
(*.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 (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)))) (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 (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 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 2) t) (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))))
(*.f64 (/.f64 1 (/.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 (*.f64 (pow.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 3/2) 1/6) (pow.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 3/2) 1/6)) (sqrt.f64 (/.f64 1 t))) (*.f64 (*.f64 (pow.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 3/2) 1/6) (pow.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 3/2) 1/6)) (sqrt.f64 (/.f64 1 t))))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))))
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 2))))
(*.f64 (*.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) (sqrt.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))) (*.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) (sqrt.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))))
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 2)) (cbrt.f64 (sqrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 2)) (cbrt.f64 (sqrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))))
(*.f64 (*.f64 (sqrt.f64 (/.f64 1 t)) (*.f64 (pow.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 3/2) 1/6) (pow.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 3/2) 1/6))) (*.f64 (sqrt.f64 (/.f64 1 t)) (*.f64 (pow.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 3/2) 1/6) (pow.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 3/2) 1/6))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 3/2) (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 3/2))
(*.f64 (pow.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 3) 1/6) (pow.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 3) 1/6))
(*.f64 (pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) -1/2) (pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) -1/2))
(pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 1)
(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))) (neg.f64 t)))
(neg.f64 (/.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) t))
(neg.f64 (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t)) 1))
(neg.f64 (*.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (/.f64 -1 t)))
(neg.f64 (*.f64 1 (/.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)))
(log1p.f64 (expm1.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 3))) 1)
(*.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 3) 1)
(*.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 2))
(*.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (pow.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 2) 3))
(*.f64 1 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 3))
(*.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (*.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 2)))
(*.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 3/2) (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 3/2))
(*.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 2) (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 2)))
(*.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 (log1p.f64 (*.f64 y (expm1.f64 z))) 2)))
(*.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 2) (log1p.f64 (*.f64 y (expm1.f64 z))))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 2) (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 2)) (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))))
(*.f64 (*.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 2)) (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))))
(*.f64 (*.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 2)) (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 2) 3) (log1p.f64 (*.f64 y (expm1.f64 z))))
(*.f64 (*.f64 (pow.f64 1 3/2) (pow.f64 1 3/2)) (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 3))
(*.f64 (*.f64 (*.f64 (pow.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 3/2) 1/6) (pow.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 3/2) 1/6)) (log1p.f64 (*.f64 y (expm1.f64 z)))) (*.f64 (*.f64 (pow.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 3/2) 1/6) (pow.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 3/2) 1/6)) (log1p.f64 (*.f64 y (expm1.f64 z)))))
(*.f64 (*.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 3/4) (sqrt.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 3/2))) (*.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 3/4) (sqrt.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 3/2))))
(*.f64 (*.f64 (pow.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 3/2) (sqrt.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 3/2))) (*.f64 (pow.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 3/2) (sqrt.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 3/2))))
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 3/2)) (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 3/4)) (*.f64 (sqrt.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 3/2)) (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 3/4)))
(*.f64 (*.f64 (pow.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 3/2) (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 3/4)) (*.f64 (pow.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 3/2) (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 3/4)))
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 3/2)) (pow.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 3/2)) (*.f64 (sqrt.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 3/2)) (pow.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 3/2)))
(*.f64 (*.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 3/4) (pow.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 3/2)) (*.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 3/4) (pow.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 3/2)))
(*.f64 (*.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (*.f64 (pow.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 3/2) 1/6) (pow.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 3/2) 1/6))) (*.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (*.f64 (pow.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 3/2) 1/6) (pow.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 3/2) 1/6))))
(*.f64 (pow.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 2) 3/4) (pow.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 2) 3/4))
(*.f64 (pow.f64 (pow.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 3) 3) 1/6) (pow.f64 (pow.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 3) 3) 1/6))
(sqrt.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 6))
(log.f64 (exp.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 3)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 3))))
(cbrt.f64 (pow.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 3) 3))
(expm1.f64 (log1p.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 3)))
(exp.f64 (*.f64 3 (log.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))))
(log1p.f64 (expm1.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 3)))
Outputs
(*.f64 (-.f64 (exp.f64 z) 1) y)
(*.f64 (expm1.f64 z) y)
(+.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) (*.f64 -1/2 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (pow.f64 y 2))))
(fma.f64 (expm1.f64 z) y (*.f64 -1/2 (*.f64 (pow.f64 (expm1.f64 z) 2) (*.f64 y y))))
(fma.f64 -1/2 (*.f64 (pow.f64 (expm1.f64 z) 2) (*.f64 y y)) (*.f64 (expm1.f64 z) y))
(+.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (pow.f64 y 2))) (*.f64 1/3 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 3) (pow.f64 y 3)))))
(fma.f64 (expm1.f64 z) y (fma.f64 -1/2 (*.f64 (pow.f64 (expm1.f64 z) 2) (*.f64 y y)) (*.f64 1/3 (*.f64 (pow.f64 (expm1.f64 z) 3) (pow.f64 y 3)))))
(fma.f64 (expm1.f64 z) y (fma.f64 1/3 (*.f64 (pow.f64 (expm1.f64 z) 3) (pow.f64 y 3)) (*.f64 -1/2 (*.f64 (pow.f64 (expm1.f64 z) 2) (*.f64 y y)))))
(+.f64 (*.f64 -1/4 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 4) (pow.f64 y 4))) (+.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (pow.f64 y 2))) (*.f64 1/3 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 3) (pow.f64 y 3))))))
(fma.f64 -1/4 (*.f64 (pow.f64 (expm1.f64 z) 4) (pow.f64 y 4)) (fma.f64 (expm1.f64 z) y (fma.f64 -1/2 (*.f64 (pow.f64 (expm1.f64 z) 2) (*.f64 y y)) (*.f64 1/3 (*.f64 (pow.f64 (expm1.f64 z) 3) (pow.f64 y 3))))))
(fma.f64 -1/4 (*.f64 (pow.f64 (expm1.f64 z) 4) (pow.f64 y 4)) (fma.f64 (expm1.f64 z) y (fma.f64 1/3 (*.f64 (pow.f64 (expm1.f64 z) 3) (pow.f64 y 3)) (*.f64 -1/2 (*.f64 (pow.f64 (expm1.f64 z) 2) (*.f64 y y))))))
(+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y))))
(+.f64 (log.f64 (expm1.f64 z)) (neg.f64 (neg.f64 (log.f64 y))))
(+.f64 (log.f64 (expm1.f64 z)) (log.f64 y))
(+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (+.f64 (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y)) (*.f64 -1 (log.f64 (/.f64 1 y)))))
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(cbrt.f64 (pow.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 3) 3))
(pow.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) 3)
(expm1.f64 (log1p.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 3)))
(pow.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) 3)
(exp.f64 (*.f64 3 (log.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))))
(pow.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) 3)
(log1p.f64 (expm1.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 3)))
(pow.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) 3)

localize8.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
4.9b
(/.f64 y (/.f64 t z))
Compiler

Compiled 23 to 7 computations (69.6% saved)

series1.0ms (0%)

Counts
1 → 36
Calls

9 calls:

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

rewrite55.0ms (0.4%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0713
115113
2215513
Stop Event
node limit
Counts
1 → 42
Calls
Call 1
Inputs
(/.f64 y (/.f64 t z))
Outputs
((#(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 z t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 z (/.f64 y t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y (/.f64 z t)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 y (/.f64 z t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (/.f64 z t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 y (/.f64 z t))) (sqrt.f64 (*.f64 y (/.f64 z t))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 y y)) (*.f64 (cbrt.f64 y) (/.f64 z t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 y (/.f64 z t))) (pow.f64 (cbrt.f64 (*.f64 y (/.f64 z t))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 y (/.f64 z t))) 2) (cbrt.f64 (*.f64 y (/.f64 z t))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y t) z)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 z t) y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 y) (/.f64 1 (/.f64 (neg.f64 t) z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 y t) 1) z)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 y t) (sqrt.f64 z)) (sqrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 y t) (cbrt.f64 (*.f64 z z))) (cbrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y 1) (/.f64 z t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 t) (/.f64 y (/.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (/.f64 t z))) (/.f64 y (sqrt.f64 (/.f64 t z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 t z)) 2)) (/.f64 y (cbrt.f64 (/.f64 t z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (neg.f64 t)) (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 y) 1) (/.f64 (sqrt.f64 y) (/.f64 t z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 y) t) (/.f64 (sqrt.f64 y) (/.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 y y)) 1) (/.f64 (cbrt.f64 y) (/.f64 t z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 (/.f64 t z)) 2)) (/.f64 (sqrt.f64 y) (cbrt.f64 (/.f64 t z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 y y)) t) (/.f64 (cbrt.f64 y) (/.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 y y)) (sqrt.f64 (/.f64 t z))) (/.f64 (cbrt.f64 y) (sqrt.f64 (/.f64 t z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 y y)) (pow.f64 (cbrt.f64 (/.f64 t z)) 2)) (cbrt.f64 (*.f64 y (/.f64 z t))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y (/.f64 z t)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 y (/.f64 z t))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 y (/.f64 z t))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 y (/.f64 z t)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 t (*.f64 y z)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 y (/.f64 (neg.f64 t) z)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 y (/.f64 z t)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 y) (/.f64 z t)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 y (/.f64 z t)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 y (/.f64 z t)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 y (/.f64 z t))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 y (/.f64 z t))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 y (/.f64 z t))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 y (/.f64 z t))))))))

simplify55.0ms (0.4%)

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

Useful iterations: 1 (0.0ms)

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

localize13.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(+.f64 1 (*.f64 (/.f64 z t) y))
1.7b
(-.f64 (+.f64 1 (*.f64 (/.f64 z t) y)) 1)
4.8b
(*.f64 (/.f64 z t) y)
Compiler

Compiled 44 to 18 computations (59.1% saved)

series1.0ms (0%)

Counts
2 → 72
Calls

18 calls:

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

rewrite84.0ms (0.5%)

Algorithm
batch-egg-rewrite
Rules
1084×associate-/r*
984×*-commutative
810×associate-/l*
640×distribute-lft-in
608×distribute-rgt-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01044
122128
2313028
Stop Event
node limit
Counts
2 → 211
Calls
Call 1
Inputs
(-.f64 (+.f64 1 (*.f64 (/.f64 z t) y)) 1)
(+.f64 1 (*.f64 (/.f64 z t) y))
Outputs
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z t) y 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y (/.f64 z t) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 (/.f64 z t) y)) (sqrt.f64 (*.f64 (/.f64 z t) y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 z t) y)) 2) (cbrt.f64 (*.f64 (/.f64 z t) y)) 1)))))

simplify128.0ms (0.8%)

Algorithm
egg-herbie
Rules
1450×associate-+l+
1378×associate-+r+
678×+-commutative
652×associate-*r*
630×associate-/l/
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
05479201
114858929
265468925
Stop Event
node limit
Counts
283 → 315
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)
1
(+.f64 1 (/.f64 (*.f64 y z) t))
(+.f64 1 (/.f64 (*.f64 y z) t))
(+.f64 1 (/.f64 (*.f64 y z) t))
(/.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 (*.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 (*.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))
1
(+.f64 1 (/.f64 (*.f64 y z) t))
(+.f64 1 (/.f64 (*.f64 y z) t))
(+.f64 1 (/.f64 (*.f64 y z) t))
1
(+.f64 1 (/.f64 (*.f64 y z) t))
(+.f64 1 (/.f64 (*.f64 y z) t))
(+.f64 1 (/.f64 (*.f64 y z) t))
1
(+.f64 1 (/.f64 (*.f64 y z) t))
(+.f64 1 (/.f64 (*.f64 y z) t))
(+.f64 1 (/.f64 (*.f64 y z) t))
(/.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 (*.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 (fma.f64 (/.f64 z t) y -1))
(+.f64 (*.f64 (/.f64 z t) y) 0)
(+.f64 (fma.f64 (/.f64 z t) y 1) -1)
(+.f64 0 (*.f64 (/.f64 z t) y))
(+.f64 (fma.f64 (/.f64 z t) y -1) 1)
(+.f64 -1 (fma.f64 (/.f64 z t) y 1))
(*.f64 1 (*.f64 (/.f64 z t) y))
(*.f64 z (*.f64 y (/.f64 1 t)))
(*.f64 (/.f64 z t) y)
(*.f64 y (/.f64 z t))
(*.f64 (*.f64 (/.f64 z t) y) 1)
(*.f64 (sqrt.f64 (*.f64 (/.f64 z t) y)) (sqrt.f64 (*.f64 (/.f64 z t) y)))
(*.f64 (sqrt.f64 (/.f64 z t)) (*.f64 y (sqrt.f64 (/.f64 z t))))
(*.f64 (sqrt.f64 y) (*.f64 (/.f64 z t) (sqrt.f64 y)))
(*.f64 (cbrt.f64 (*.f64 (/.f64 z t) y)) (pow.f64 (cbrt.f64 (*.f64 (/.f64 z t) y)) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 z t) y)) 2) (cbrt.f64 (*.f64 (/.f64 z t) y)))
(*.f64 (cbrt.f64 (/.f64 z t)) (*.f64 y (pow.f64 (cbrt.f64 (/.f64 z t)) 2)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 z t)) 2) (*.f64 y (cbrt.f64 (/.f64 z t))))
(*.f64 (cbrt.f64 y) (*.f64 (/.f64 z t) (pow.f64 (cbrt.f64 y) 2)))
(*.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (/.f64 z t) (cbrt.f64 y)))
(*.f64 (*.f64 z y) (/.f64 1 t))
(*.f64 (+.f64 (pow.f64 (fma.f64 (/.f64 z t) y 1) 2) -1) (/.f64 1 (+.f64 (*.f64 (/.f64 z t) y) 2)))
(*.f64 (/.f64 1 t) (*.f64 z y))
(*.f64 (+.f64 -1 (pow.f64 (fma.f64 (/.f64 z t) y 1) 3)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 (/.f64 z t) y 1) 2) (+.f64 (*.f64 (/.f64 z t) y) 2))))
(*.f64 (*.f64 (/.f64 z t) (sqrt.f64 y)) (sqrt.f64 y))
(*.f64 (*.f64 (/.f64 z t) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))
(*.f64 (*.f64 y (pow.f64 (cbrt.f64 (/.f64 z t)) 2)) (cbrt.f64 (/.f64 z t)))
(*.f64 (*.f64 y (/.f64 1 t)) z)
(*.f64 (*.f64 y (sqrt.f64 (/.f64 z t))) (sqrt.f64 (/.f64 z t)))
(*.f64 (*.f64 y (cbrt.f64 (/.f64 z t))) (pow.f64 (cbrt.f64 (/.f64 z t)) 2))
(*.f64 (*.f64 (/.f64 z t) (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) 2))
(*.f64 (/.f64 z 1) (/.f64 y t))
(*.f64 (/.f64 z (sqrt.f64 t)) (/.f64 y (sqrt.f64 t)))
(*.f64 (/.f64 z (pow.f64 (cbrt.f64 t) 2)) (/.f64 y (cbrt.f64 t)))
(*.f64 (+.f64 1 (sqrt.f64 (fma.f64 (/.f64 z t) y 1))) (-.f64 (sqrt.f64 (fma.f64 (/.f64 z t) y 1)) 1))
(*.f64 (-.f64 (sqrt.f64 (fma.f64 (/.f64 z t) y 1)) 1) (+.f64 1 (sqrt.f64 (fma.f64 (/.f64 z t) y 1))))
(*.f64 (/.f64 1 (+.f64 (*.f64 (/.f64 z t) y) 2)) (+.f64 (pow.f64 (fma.f64 (/.f64 z t) y 1) 2) -1))
(*.f64 (/.f64 1 (+.f64 (pow.f64 (fma.f64 (/.f64 z t) y 1) 2) (+.f64 (*.f64 (/.f64 z t) y) 2))) (+.f64 -1 (pow.f64 (fma.f64 (/.f64 z t) y 1) 3)))
(*.f64 (/.f64 y t) z)
(*.f64 (/.f64 y t) (/.f64 z 1))
(*.f64 (/.f64 y (sqrt.f64 t)) (/.f64 z (sqrt.f64 t)))
(*.f64 (/.f64 y (cbrt.f64 t)) (/.f64 z (pow.f64 (cbrt.f64 t) 2)))
(*.f64 (/.f64 (+.f64 (pow.f64 (fma.f64 (/.f64 z t) y 1) 2) -1) (+.f64 (pow.f64 (fma.f64 (/.f64 z t) y 1) 2) -1)) (*.f64 (/.f64 z t) y))
(*.f64 (/.f64 y 1) (/.f64 z t))
(*.f64 (/.f64 y (pow.f64 (cbrt.f64 t) 2)) (/.f64 z (cbrt.f64 t)))
(*.f64 (/.f64 y (neg.f64 t)) (neg.f64 z))
(*.f64 (/.f64 y (/.f64 t (sqrt.f64 z))) (sqrt.f64 z))
(*.f64 (/.f64 y (/.f64 t (cbrt.f64 (*.f64 z z)))) (cbrt.f64 z))
(*.f64 (/.f64 (+.f64 (pow.f64 (fma.f64 (/.f64 z t) y 1) 2) -1) (-.f64 1 (pow.f64 (fma.f64 (/.f64 z t) y 1) 2))) (-.f64 0 (*.f64 (/.f64 z t) y)))
(*.f64 (/.f64 (+.f64 (pow.f64 (fma.f64 (/.f64 z t) y 1) 2) -1) (+.f64 1 (pow.f64 (fma.f64 (/.f64 z t) y 1) 3))) (+.f64 1 (*.f64 (*.f64 (/.f64 z t) y) (fma.f64 (/.f64 z t) y 1))))
(*.f64 (/.f64 (+.f64 -1 (pow.f64 (fma.f64 (/.f64 z t) y 1) 3)) (-.f64 (*.f64 (pow.f64 (fma.f64 (/.f64 z t) y 1) 2) (pow.f64 (fma.f64 (/.f64 z t) y 1) 2)) (*.f64 (+.f64 (*.f64 (/.f64 z t) y) 2) (+.f64 (*.f64 (/.f64 z t) y) 2)))) (-.f64 (*.f64 (*.f64 (/.f64 z t) y) (fma.f64 (/.f64 z t) y 1)) 1))
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(/.f64 (sqrt.f64 (+.f64 1 (pow.f64 (*.f64 (/.f64 z t) y) 3))) (/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 z t) y) 2) (fma.f64 (/.f64 z t) y -1)) (sqrt.f64 (+.f64 1 (pow.f64 (*.f64 (/.f64 z t) y) 3)))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 1 (pow.f64 (*.f64 (/.f64 z t) y) 2))) (cbrt.f64 (-.f64 1 (pow.f64 (*.f64 (/.f64 z t) y) 2)))) (/.f64 (-.f64 1 (*.f64 (/.f64 z t) y)) (cbrt.f64 (-.f64 1 (pow.f64 (*.f64 (/.f64 z t) y) 2)))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 1 (pow.f64 (*.f64 (/.f64 z t) y) 3))) (cbrt.f64 (+.f64 1 (pow.f64 (*.f64 (/.f64 z t) y) 3)))) (/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 z t) y) 2) (fma.f64 (/.f64 z t) y -1)) (cbrt.f64 (+.f64 1 (pow.f64 (*.f64 (/.f64 z t) y) 3)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 z t) y) 2) 1) (fma.f64 (/.f64 z t) y -1))
(/.f64 (-.f64 1 (*.f64 (pow.f64 (*.f64 (/.f64 z t) y) 3) (pow.f64 (*.f64 (/.f64 z t) y) 3))) (*.f64 (-.f64 (pow.f64 (*.f64 (/.f64 z t) y) 2) (fma.f64 (/.f64 z t) y -1)) (-.f64 1 (pow.f64 (*.f64 (/.f64 z t) y) 3))))
(/.f64 (-.f64 1 (*.f64 (pow.f64 (*.f64 (/.f64 z t) y) 2) (pow.f64 (*.f64 (/.f64 z t) y) 2))) (*.f64 (-.f64 1 (*.f64 (/.f64 z t) y)) (+.f64 1 (pow.f64 (*.f64 (/.f64 z t) y) 2))))
(/.f64 (+.f64 1 (pow.f64 (pow.f64 (*.f64 (/.f64 z t) y) 3) 3)) (*.f64 (-.f64 (pow.f64 (*.f64 (/.f64 z t) y) 2) (fma.f64 (/.f64 z t) y -1)) (+.f64 1 (*.f64 (pow.f64 (*.f64 (/.f64 z t) y) 3) (-.f64 (pow.f64 (*.f64 (/.f64 z t) y) 3) 1)))))
(/.f64 (-.f64 1 (pow.f64 (pow.f64 (*.f64 (/.f64 z t) y) 2) 3)) (*.f64 (-.f64 1 (*.f64 (/.f64 z t) y)) (+.f64 1 (*.f64 (pow.f64 (*.f64 (/.f64 z t) y) 2) (+.f64 1 (pow.f64 (*.f64 (/.f64 z t) y) 2))))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (*.f64 (/.f64 z t) y) 2))) (neg.f64 (-.f64 1 (*.f64 (/.f64 z t) y))))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (*.f64 (/.f64 z t) y) 3))) (neg.f64 (-.f64 (pow.f64 (*.f64 (/.f64 z t) y) 2) (fma.f64 (/.f64 z t) y -1))))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (*.f64 (/.f64 z t) y) 2)) 1) (-.f64 1 (*.f64 (/.f64 z t) y)))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (*.f64 (/.f64 z t) y) 2)) (sqrt.f64 (-.f64 1 (*.f64 (/.f64 z t) y)))) (sqrt.f64 (-.f64 1 (*.f64 (/.f64 z t) y))))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (*.f64 (/.f64 z t) y) 2)) (*.f64 (cbrt.f64 (-.f64 1 (*.f64 (/.f64 z t) y))) (cbrt.f64 (-.f64 1 (*.f64 (/.f64 z t) y))))) (cbrt.f64 (-.f64 1 (*.f64 (/.f64 z t) y))))
(/.f64 (/.f64 (+.f64 1 (pow.f64 (*.f64 (/.f64 z t) y) 3)) 1) (-.f64 (pow.f64 (*.f64 (/.f64 z t) y) 2) (fma.f64 (/.f64 z t) y -1)))
(/.f64 (/.f64 (+.f64 1 (pow.f64 (*.f64 (/.f64 z t) y) 3)) (sqrt.f64 (-.f64 (pow.f64 (*.f64 (/.f64 z t) y) 2) (fma.f64 (/.f64 z t) y -1)))) (sqrt.f64 (-.f64 (pow.f64 (*.f64 (/.f64 z t) y) 2) (fma.f64 (/.f64 z t) y -1))))
(/.f64 (/.f64 (+.f64 1 (pow.f64 (*.f64 (/.f64 z t) y) 3)) (*.f64 (cbrt.f64 (-.f64 (pow.f64 (*.f64 (/.f64 z t) y) 2) (fma.f64 (/.f64 z t) y -1))) (cbrt.f64 (-.f64 (pow.f64 (*.f64 (/.f64 z t) y) 2) (fma.f64 (/.f64 z t) y -1))))) (cbrt.f64 (-.f64 (pow.f64 (*.f64 (/.f64 z t) y) 2) (fma.f64 (/.f64 z t) y -1))))
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 z t) y) 2) 1) 1) (fma.f64 (/.f64 z t) y -1))
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 z t) y) 2) 1) (sqrt.f64 (fma.f64 (/.f64 z t) y -1))) (sqrt.f64 (fma.f64 (/.f64 z t) y -1)))
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 z t) y) 2) 1) (*.f64 (cbrt.f64 (fma.f64 (/.f64 z t) y -1)) (cbrt.f64 (fma.f64 (/.f64 z t) y -1)))) (cbrt.f64 (fma.f64 (/.f64 z t) y -1)))
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 z t) y) 2) 1) (+.f64 1 (sqrt.f64 (*.f64 (/.f64 z t) y)))) (-.f64 (sqrt.f64 (*.f64 (/.f64 z t) y)) 1))
(pow.f64 (fma.f64 (/.f64 z t) y 1) 1)
(pow.f64 (sqrt.f64 (fma.f64 (/.f64 z t) y 1)) 2)
(pow.f64 (cbrt.f64 (fma.f64 (/.f64 z t) y 1)) 3)
(pow.f64 (pow.f64 (fma.f64 (/.f64 z t) y 1) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 (/.f64 z t) y 1) 2))
(log.f64 (exp.f64 (fma.f64 (/.f64 z t) y 1)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (/.f64 z t) y 1))))
(cbrt.f64 (pow.f64 (fma.f64 (/.f64 z t) y 1) 3))
(expm1.f64 (log1p.f64 (fma.f64 (/.f64 z t) y 1)))
(exp.f64 (log1p.f64 (*.f64 (/.f64 z t) y)))
(log1p.f64 (expm1.f64 (fma.f64 (/.f64 z t) y 1)))
(fma.f64 1 (*.f64 (/.f64 z t) y) 1)
(fma.f64 (/.f64 z t) y 1)
(fma.f64 y (/.f64 z t) 1)
(fma.f64 (sqrt.f64 (*.f64 (/.f64 z t) y)) (sqrt.f64 (*.f64 (/.f64 z t) y)) 1)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 z t) y)) 2) (cbrt.f64 (*.f64 (/.f64 z t) y)) 1)
Outputs
(/.f64 (*.f64 y z) t)
(/.f64 z (/.f64 t y))
(/.f64 (*.f64 y z) t)
(/.f64 z (/.f64 t y))
(/.f64 (*.f64 y z) t)
(/.f64 z (/.f64 t y))
(/.f64 (*.f64 y z) t)
(/.f64 z (/.f64 t y))
(/.f64 (*.f64 y z) t)
(/.f64 z (/.f64 t y))
(/.f64 (*.f64 y z) t)
(/.f64 z (/.f64 t y))
(/.f64 (*.f64 y z) t)
(/.f64 z (/.f64 t y))
(/.f64 (*.f64 y z) t)
(/.f64 z (/.f64 t y))
(/.f64 (*.f64 y z) t)
(/.f64 z (/.f64 t y))
(/.f64 (*.f64 y z) t)
(/.f64 z (/.f64 t y))
(/.f64 (*.f64 y z) t)
(/.f64 z (/.f64 t y))
(/.f64 (*.f64 y z) t)
(/.f64 z (/.f64 t y))
(/.f64 (*.f64 y z) t)
(/.f64 z (/.f64 t y))
(/.f64 (*.f64 y z) t)
(/.f64 z (/.f64 t y))
(/.f64 (*.f64 y z) t)
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(/.f64 (*.f64 y z) t)
(/.f64 z (/.f64 t y))
(/.f64 (*.f64 y z) t)
(/.f64 z (/.f64 t y))
(/.f64 (*.f64 y z) t)
(/.f64 z (/.f64 t y))
(/.f64 (*.f64 y z) t)
(/.f64 z (/.f64 t y))
(/.f64 (*.f64 y z) t)
(/.f64 z (/.f64 t y))
(/.f64 (*.f64 y z) t)
(/.f64 z (/.f64 t y))
(/.f64 (*.f64 y z) t)
(/.f64 z (/.f64 t y))
(/.f64 (*.f64 y z) t)
(/.f64 z (/.f64 t y))
(/.f64 (*.f64 y 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 (*.f64 y z) t)
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(/.f64 (*.f64 y z) t)
(/.f64 z (/.f64 t y))
(/.f64 (*.f64 y 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 (*.f64 y z) t)
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(/.f64 (*.f64 y z) t)
(/.f64 z (/.f64 t y))
(/.f64 (*.f64 y z) t)
(/.f64 z (/.f64 t y))
(/.f64 (*.f64 y z) t)
(/.f64 z (/.f64 t y))
(/.f64 (*.f64 y z) t)
(/.f64 z (/.f64 t y))
1
(+.f64 1 (/.f64 (*.f64 y z) t))
(fma.f64 y (/.f64 z t) 1)
(+.f64 1 (/.f64 (*.f64 y z) t))
(fma.f64 y (/.f64 z t) 1)
(+.f64 1 (/.f64 (*.f64 y z) t))
(fma.f64 y (/.f64 z t) 1)
(/.f64 (*.f64 y z) t)
(/.f64 z (/.f64 t y))
(+.f64 1 (/.f64 (*.f64 y z) t))
(fma.f64 y (/.f64 z t) 1)
(+.f64 1 (/.f64 (*.f64 y z) t))
(fma.f64 y (/.f64 z t) 1)
(+.f64 1 (/.f64 (*.f64 y z) t))
(fma.f64 y (/.f64 z t) 1)
(/.f64 (*.f64 y z) t)
(/.f64 z (/.f64 t y))
(+.f64 1 (/.f64 (*.f64 y z) t))
(fma.f64 y (/.f64 z t) 1)
(+.f64 1 (/.f64 (*.f64 y z) t))
(fma.f64 y (/.f64 z t) 1)
(+.f64 1 (/.f64 (*.f64 y z) t))
(fma.f64 y (/.f64 z t) 1)
(/.f64 (*.f64 y z) t)
(/.f64 z (/.f64 t y))
(+.f64 1 (/.f64 (*.f64 y z) t))
(fma.f64 y (/.f64 z t) 1)
(+.f64 1 (/.f64 (*.f64 y z) t))
(fma.f64 y (/.f64 z t) 1)
(+.f64 1 (/.f64 (*.f64 y z) t))
(fma.f64 y (/.f64 z t) 1)
1
(+.f64 1 (/.f64 (*.f64 y z) t))
(fma.f64 y (/.f64 z t) 1)
(+.f64 1 (/.f64 (*.f64 y z) t))
(fma.f64 y (/.f64 z t) 1)
(+.f64 1 (/.f64 (*.f64 y z) t))
(fma.f64 y (/.f64 z t) 1)
1
(+.f64 1 (/.f64 (*.f64 y z) t))
(fma.f64 y (/.f64 z t) 1)
(+.f64 1 (/.f64 (*.f64 y z) t))
(fma.f64 y (/.f64 z t) 1)
(+.f64 1 (/.f64 (*.f64 y z) t))
(fma.f64 y (/.f64 z t) 1)
1
(+.f64 1 (/.f64 (*.f64 y z) t))
(fma.f64 y (/.f64 z t) 1)
(+.f64 1 (/.f64 (*.f64 y z) t))
(fma.f64 y (/.f64 z t) 1)
(+.f64 1 (/.f64 (*.f64 y z) t))
(fma.f64 y (/.f64 z t) 1)
(/.f64 (*.f64 y z) t)
(/.f64 z (/.f64 t y))
(+.f64 1 (/.f64 (*.f64 y z) t))
(fma.f64 y (/.f64 z t) 1)
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(fma.f64 y (/.f64 z t) 1)
(+.f64 1 (/.f64 (*.f64 y z) t))
(fma.f64 y (/.f64 z t) 1)
(/.f64 (*.f64 y z) t)
(/.f64 z (/.f64 t y))
(+.f64 1 (/.f64 (*.f64 y z) t))
(fma.f64 y (/.f64 z t) 1)
(+.f64 1 (/.f64 (*.f64 y z) t))
(fma.f64 y (/.f64 z t) 1)
(+.f64 1 (/.f64 (*.f64 y z) t))
(fma.f64 y (/.f64 z t) 1)
(+.f64 1 (fma.f64 (/.f64 z t) y -1))
(/.f64 z (/.f64 t y))
(+.f64 (*.f64 (/.f64 z t) y) 0)
(/.f64 z (/.f64 t y))
(+.f64 (fma.f64 (/.f64 z t) y 1) -1)
(/.f64 z (/.f64 t y))
(+.f64 0 (*.f64 (/.f64 z t) y))
(/.f64 z (/.f64 t y))
(+.f64 (fma.f64 (/.f64 z t) y -1) 1)
(/.f64 z (/.f64 t y))
(+.f64 -1 (fma.f64 (/.f64 z t) y 1))
(/.f64 z (/.f64 t y))
(*.f64 1 (*.f64 (/.f64 z t) y))
(/.f64 z (/.f64 t y))
(*.f64 z (*.f64 y (/.f64 1 t)))
(/.f64 z (/.f64 t y))
(*.f64 (/.f64 z t) y)
(/.f64 z (/.f64 t y))
(*.f64 y (/.f64 z t))
(/.f64 z (/.f64 t y))
(*.f64 (*.f64 (/.f64 z t) y) 1)
(/.f64 z (/.f64 t y))
(*.f64 (sqrt.f64 (*.f64 (/.f64 z t) y)) (sqrt.f64 (*.f64 (/.f64 z t) y)))
(/.f64 z (/.f64 t y))
(*.f64 (sqrt.f64 (/.f64 z t)) (*.f64 y (sqrt.f64 (/.f64 z t))))
(/.f64 z (/.f64 t y))
(*.f64 (sqrt.f64 y) (*.f64 (/.f64 z t) (sqrt.f64 y)))
(/.f64 z (/.f64 t y))
(*.f64 (cbrt.f64 (*.f64 (/.f64 z t) y)) (pow.f64 (cbrt.f64 (*.f64 (/.f64 z t) y)) 2))
(/.f64 z (/.f64 t y))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 z t) y)) 2) (cbrt.f64 (*.f64 (/.f64 z t) y)))
(/.f64 z (/.f64 t y))
(*.f64 (cbrt.f64 (/.f64 z t)) (*.f64 y (pow.f64 (cbrt.f64 (/.f64 z t)) 2)))
(/.f64 z (/.f64 t y))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 z t)) 2) (*.f64 y (cbrt.f64 (/.f64 z t))))
(/.f64 z (/.f64 t y))
(*.f64 (cbrt.f64 y) (*.f64 (/.f64 z t) (pow.f64 (cbrt.f64 y) 2)))
(/.f64 z (/.f64 t y))
(*.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (/.f64 z t) (cbrt.f64 y)))
(/.f64 z (/.f64 t y))
(*.f64 (*.f64 z y) (/.f64 1 t))
(/.f64 z (/.f64 t y))
(*.f64 (+.f64 (pow.f64 (fma.f64 (/.f64 z t) y 1) 2) -1) (/.f64 1 (+.f64 (*.f64 (/.f64 z t) y) 2)))
(/.f64 z (/.f64 t y))
(*.f64 (/.f64 1 t) (*.f64 z y))
(/.f64 z (/.f64 t y))
(*.f64 (+.f64 -1 (pow.f64 (fma.f64 (/.f64 z t) y 1) 3)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 (/.f64 z t) y 1) 2) (+.f64 (*.f64 (/.f64 z t) y) 2))))
(*.f64 (+.f64 -1 (pow.f64 (fma.f64 y (/.f64 z t) 1) 3)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 y (/.f64 z t) 1) 2) (fma.f64 (/.f64 z t) y 2))))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 y (/.f64 z t) 1) 3)) (+.f64 (pow.f64 (fma.f64 y (/.f64 z t) 1) 2) (fma.f64 z (/.f64 y t) 2)))
(*.f64 (*.f64 (/.f64 z t) (sqrt.f64 y)) (sqrt.f64 y))
(/.f64 z (/.f64 t y))
(*.f64 (*.f64 (/.f64 z t) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))
(/.f64 z (/.f64 t y))
(*.f64 (*.f64 y (pow.f64 (cbrt.f64 (/.f64 z t)) 2)) (cbrt.f64 (/.f64 z t)))
(/.f64 z (/.f64 t y))
(*.f64 (*.f64 y (/.f64 1 t)) z)
(/.f64 z (/.f64 t y))
(*.f64 (*.f64 y (sqrt.f64 (/.f64 z t))) (sqrt.f64 (/.f64 z t)))
(/.f64 z (/.f64 t y))
(*.f64 (*.f64 y (cbrt.f64 (/.f64 z t))) (pow.f64 (cbrt.f64 (/.f64 z t)) 2))
(/.f64 z (/.f64 t y))
(*.f64 (*.f64 (/.f64 z t) (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) 2))
(/.f64 z (/.f64 t y))
(*.f64 (/.f64 z 1) (/.f64 y t))
(/.f64 z (/.f64 t y))
(*.f64 (/.f64 z (sqrt.f64 t)) (/.f64 y (sqrt.f64 t)))
(*.f64 (/.f64 z (pow.f64 (cbrt.f64 t) 2)) (/.f64 y (cbrt.f64 t)))
(/.f64 z (/.f64 t y))
(*.f64 (+.f64 1 (sqrt.f64 (fma.f64 (/.f64 z t) y 1))) (-.f64 (sqrt.f64 (fma.f64 (/.f64 z t) y 1)) 1))
(/.f64 z (/.f64 t y))
(*.f64 (-.f64 (sqrt.f64 (fma.f64 (/.f64 z t) y 1)) 1) (+.f64 1 (sqrt.f64 (fma.f64 (/.f64 z t) y 1))))
(/.f64 z (/.f64 t y))
(*.f64 (/.f64 1 (+.f64 (*.f64 (/.f64 z t) y) 2)) (+.f64 (pow.f64 (fma.f64 (/.f64 z t) y 1) 2) -1))
(/.f64 z (/.f64 t y))
(*.f64 (/.f64 1 (+.f64 (pow.f64 (fma.f64 (/.f64 z t) y 1) 2) (+.f64 (*.f64 (/.f64 z t) y) 2))) (+.f64 -1 (pow.f64 (fma.f64 (/.f64 z t) y 1) 3)))
(*.f64 (+.f64 -1 (pow.f64 (fma.f64 y (/.f64 z t) 1) 3)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 y (/.f64 z t) 1) 2) (fma.f64 (/.f64 z t) y 2))))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 y (/.f64 z t) 1) 3)) (+.f64 (pow.f64 (fma.f64 y (/.f64 z t) 1) 2) (fma.f64 z (/.f64 y t) 2)))
(*.f64 (/.f64 y t) z)
(/.f64 z (/.f64 t y))
(*.f64 (/.f64 y t) (/.f64 z 1))
(/.f64 z (/.f64 t y))
(*.f64 (/.f64 y (sqrt.f64 t)) (/.f64 z (sqrt.f64 t)))
(*.f64 (/.f64 z (sqrt.f64 t)) (/.f64 y (sqrt.f64 t)))
(*.f64 (/.f64 y (cbrt.f64 t)) (/.f64 z (pow.f64 (cbrt.f64 t) 2)))
(/.f64 z (/.f64 t y))
(*.f64 (/.f64 (+.f64 (pow.f64 (fma.f64 (/.f64 z t) y 1) 2) -1) (+.f64 (pow.f64 (fma.f64 (/.f64 z t) y 1) 2) -1)) (*.f64 (/.f64 z t) y))
(/.f64 z (/.f64 t y))
(*.f64 (/.f64 y 1) (/.f64 z t))
(/.f64 z (/.f64 t y))
(*.f64 (/.f64 y (pow.f64 (cbrt.f64 t) 2)) (/.f64 z (cbrt.f64 t)))
(/.f64 z (/.f64 t y))
(*.f64 (/.f64 y (neg.f64 t)) (neg.f64 z))
(/.f64 z (/.f64 t y))
(*.f64 (/.f64 y (/.f64 t (sqrt.f64 z))) (sqrt.f64 z))
(*.f64 (sqrt.f64 z) (*.f64 (/.f64 y t) (sqrt.f64 z)))
(*.f64 (/.f64 y t) (*.f64 (sqrt.f64 z) (sqrt.f64 z)))
(*.f64 (/.f64 y (/.f64 t (cbrt.f64 (*.f64 z z)))) (cbrt.f64 z))
(*.f64 (*.f64 (/.f64 y t) (cbrt.f64 (*.f64 z z))) (cbrt.f64 z))
(*.f64 (/.f64 y t) (*.f64 (cbrt.f64 (*.f64 z z)) (cbrt.f64 z)))
(*.f64 (/.f64 (+.f64 (pow.f64 (fma.f64 (/.f64 z t) y 1) 2) -1) (-.f64 1 (pow.f64 (fma.f64 (/.f64 z t) y 1) 2))) (-.f64 0 (*.f64 (/.f64 z t) y)))
(*.f64 (/.f64 (+.f64 -1 (pow.f64 (fma.f64 y (/.f64 z t) 1) 2)) (-.f64 1 (pow.f64 (fma.f64 y (/.f64 z t) 1) 2))) (neg.f64 (/.f64 z (/.f64 t y))))
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(/.f64 (/.f64 (+.f64 1 (pow.f64 (*.f64 (/.f64 z t) y) 3)) (*.f64 (cbrt.f64 (-.f64 (pow.f64 (*.f64 (/.f64 z t) y) 2) (fma.f64 (/.f64 z t) y -1))) (cbrt.f64 (-.f64 (pow.f64 (*.f64 (/.f64 z t) y) 2) (fma.f64 (/.f64 z t) y -1))))) (cbrt.f64 (-.f64 (pow.f64 (*.f64 (/.f64 z t) y) 2) (fma.f64 (/.f64 z t) y -1))))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (/.f64 z (/.f64 t y)) 3)) 1) (-.f64 (pow.f64 (/.f64 z (/.f64 t y)) 2) (fma.f64 (/.f64 z t) y -1)))
(/.f64 (+.f64 1 (pow.f64 (/.f64 z (/.f64 t y)) 3)) (-.f64 (pow.f64 (/.f64 z (/.f64 t y)) 2) (fma.f64 y (/.f64 z t) -1)))
(/.f64 (+.f64 1 (pow.f64 (/.f64 z (/.f64 t y)) 3)) (+.f64 1 (*.f64 (fma.f64 y (/.f64 z t) -1) (/.f64 z (/.f64 t y)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 z t) y) 2) 1) 1) (fma.f64 (/.f64 z t) y -1))
(/.f64 (+.f64 (pow.f64 (/.f64 z (/.f64 t y)) 2) -1) (fma.f64 (/.f64 z t) y -1))
(/.f64 (+.f64 -1 (pow.f64 (/.f64 z (/.f64 t y)) 2)) (fma.f64 y (/.f64 z t) -1))
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 z t) y) 2) 1) (sqrt.f64 (fma.f64 (/.f64 z t) y -1))) (sqrt.f64 (fma.f64 (/.f64 z t) y -1)))
(/.f64 (+.f64 (pow.f64 (/.f64 z (/.f64 t y)) 2) -1) (fma.f64 (/.f64 z t) y -1))
(/.f64 (+.f64 -1 (pow.f64 (/.f64 z (/.f64 t y)) 2)) (fma.f64 y (/.f64 z t) -1))
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 z t) y) 2) 1) (*.f64 (cbrt.f64 (fma.f64 (/.f64 z t) y -1)) (cbrt.f64 (fma.f64 (/.f64 z t) y -1)))) (cbrt.f64 (fma.f64 (/.f64 z t) y -1)))
(/.f64 (+.f64 (pow.f64 (/.f64 z (/.f64 t y)) 2) -1) (fma.f64 (/.f64 z t) y -1))
(/.f64 (+.f64 -1 (pow.f64 (/.f64 z (/.f64 t y)) 2)) (fma.f64 y (/.f64 z t) -1))
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 z t) y) 2) 1) (+.f64 1 (sqrt.f64 (*.f64 (/.f64 z t) y)))) (-.f64 (sqrt.f64 (*.f64 (/.f64 z t) y)) 1))
(/.f64 (+.f64 (pow.f64 (/.f64 z (/.f64 t y)) 2) -1) (fma.f64 (/.f64 z t) y -1))
(/.f64 (+.f64 -1 (pow.f64 (/.f64 z (/.f64 t y)) 2)) (fma.f64 y (/.f64 z t) -1))
(pow.f64 (fma.f64 (/.f64 z t) y 1) 1)
(fma.f64 y (/.f64 z t) 1)
(pow.f64 (sqrt.f64 (fma.f64 (/.f64 z t) y 1)) 2)
(fma.f64 y (/.f64 z t) 1)
(pow.f64 (cbrt.f64 (fma.f64 (/.f64 z t) y 1)) 3)
(fma.f64 y (/.f64 z t) 1)
(pow.f64 (pow.f64 (fma.f64 (/.f64 z t) y 1) 3) 1/3)
(fma.f64 y (/.f64 z t) 1)
(sqrt.f64 (pow.f64 (fma.f64 (/.f64 z t) y 1) 2))
(sqrt.f64 (pow.f64 (fma.f64 y (/.f64 z t) 1) 2))
(fabs.f64 (fma.f64 y (/.f64 z t) 1))
(log.f64 (exp.f64 (fma.f64 (/.f64 z t) y 1)))
(fma.f64 y (/.f64 z t) 1)
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (/.f64 z t) y 1))))
(fma.f64 y (/.f64 z t) 1)
(cbrt.f64 (pow.f64 (fma.f64 (/.f64 z t) y 1) 3))
(fma.f64 y (/.f64 z t) 1)
(expm1.f64 (log1p.f64 (fma.f64 (/.f64 z t) y 1)))
(fma.f64 y (/.f64 z t) 1)
(exp.f64 (log1p.f64 (*.f64 (/.f64 z t) y)))
(exp.f64 (log1p.f64 (/.f64 z (/.f64 t y))))
(log1p.f64 (expm1.f64 (fma.f64 (/.f64 z t) y 1)))
(fma.f64 y (/.f64 z t) 1)
(fma.f64 1 (*.f64 (/.f64 z t) y) 1)
(fma.f64 y (/.f64 z t) 1)
(fma.f64 (/.f64 z t) y 1)
(fma.f64 y (/.f64 z t) 1)
(fma.f64 y (/.f64 z t) 1)
(fma.f64 (sqrt.f64 (*.f64 (/.f64 z t) y)) (sqrt.f64 (*.f64 (/.f64 z t) y)) 1)
(fma.f64 y (/.f64 z t) 1)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 z t) y)) 2) (cbrt.f64 (*.f64 (/.f64 z t) y)) 1)
(fma.f64 y (/.f64 z t) 1)

localize14.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(*.f64 (-.f64 (exp.f64 z) 1) y)
0.0b
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
3.6b
(-.f64 (exp.f64 z) 1)
Compiler

Compiled 39 to 20 computations (48.7% saved)

series4.0ms (0%)

Counts
3 → 12
Calls

18 calls:

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

rewrite93.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
1462×associate-*r/
1382×associate-/r*
1278×associate-/l*
1102×associate-*l/
1066×*-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01133
122633
2293633
Stop Event
node limit
Counts
3 → 179
Calls
Call 1
Inputs
(-.f64 (exp.f64 z) 1)
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(*.f64 (-.f64 (exp.f64 z) 1) y)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 z) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (exp.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (expm1.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (expm1.f64 z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (expm1.f64 z)) (sqrt.f64 (expm1.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (expm1.f64 z)) (cbrt.f64 (pow.f64 (expm1.f64 z) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (expm1.f64 z) 2)) (cbrt.f64 (expm1.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (exp.f64 z) 2) -1) (/.f64 1 (+.f64 (exp.f64 z) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 -1 (pow.f64 (exp.f64 z) 3)) (/.f64 1 (+.f64 (exp.f64 z) (+.f64 1 (pow.f64 (exp.f64 z) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (sqrt.f64 (exp.f64 z))) (-.f64 (sqrt.f64 (exp.f64 z)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (sqrt.f64 (exp.f64 z)) 1) (+.f64 1 (sqrt.f64 (exp.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 (exp.f64 z) 1)) (+.f64 (pow.f64 (exp.f64 z) 2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 (exp.f64 z) (+.f64 1 (pow.f64 (exp.f64 z) 2)))) (+.f64 -1 (pow.f64 (exp.f64 z) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 1 (expm1.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (exp.f64 z) 2) (-.f64 1 (*.f64 (exp.f64 z) -1))) (+.f64 -1 (pow.f64 (exp.f64 z) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (expm1.f64 z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (expm1.f64 z)) (/.f64 1 (sqrt.f64 (expm1.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (expm1.f64 z)) (/.f64 1 (cbrt.f64 (pow.f64 (expm1.f64 z) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (pow.f64 (expm1.f64 z) 2)) (/.f64 1 (cbrt.f64 (expm1.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (exp.f64 z) 2) -1) (+.f64 (exp.f64 z) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (exp.f64 z) 2) -1) (/.f64 1 (/.f64 1 (+.f64 (exp.f64 z) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (exp.f64 z) 1) (/.f64 (+.f64 (exp.f64 z) 1) (expm1.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -1 (pow.f64 (exp.f64 z) 3)) (+.f64 (exp.f64 z) (+.f64 1 (pow.f64 (exp.f64 z) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -1 (pow.f64 (exp.f64 z) 3)) (+.f64 (pow.f64 (exp.f64 z) 2) (-.f64 1 (*.f64 (exp.f64 z) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -1 (pow.f64 (exp.f64 z) 3)) (/.f64 1 (/.f64 1 (+.f64 (exp.f64 z) (+.f64 1 (pow.f64 (exp.f64 z) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (+.f64 (pow.f64 (exp.f64 z) 2) -1)) (/.f64 (+.f64 (exp.f64 z) 1) (sqrt.f64 (+.f64 (pow.f64 (exp.f64 z) 2) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (exp.f64 z) 3))) (/.f64 (+.f64 (exp.f64 z) (+.f64 1 (pow.f64 (exp.f64 z) 2))) (sqrt.f64 (+.f64 -1 (pow.f64 (exp.f64 z) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (exp.f64 z) 3))) (/.f64 (+.f64 (pow.f64 (exp.f64 z) 2) (-.f64 1 (*.f64 (exp.f64 z) -1))) (sqrt.f64 (+.f64 -1 (pow.f64 (exp.f64 z) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 (exp.f64 z) 2) -1)) (cbrt.f64 (+.f64 (pow.f64 (exp.f64 z) 2) -1))) (/.f64 (+.f64 (exp.f64 z) 1) (cbrt.f64 (+.f64 (pow.f64 (exp.f64 z) 2) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (exp.f64 z) 3))) (cbrt.f64 (+.f64 -1 (pow.f64 (exp.f64 z) 3)))) (/.f64 (+.f64 (exp.f64 z) (+.f64 1 (pow.f64 (exp.f64 z) 2))) (cbrt.f64 (+.f64 -1 (pow.f64 (exp.f64 z) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (exp.f64 z) 3))) (cbrt.f64 (+.f64 -1 (pow.f64 (exp.f64 z) 3)))) (/.f64 (+.f64 (pow.f64 (exp.f64 z) 2) (-.f64 1 (*.f64 (exp.f64 z) -1))) (cbrt.f64 (+.f64 -1 (pow.f64 (exp.f64 z) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (sqrt.f64 (exp.f64 z))) (/.f64 1 (-.f64 (sqrt.f64 (exp.f64 z)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 z) 2) -1)) (neg.f64 (+.f64 (exp.f64 z) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 -1 (pow.f64 (exp.f64 z) 3))) (neg.f64 (+.f64 (exp.f64 z) (+.f64 1 (pow.f64 (exp.f64 z) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (neg.f64 (+.f64 (pow.f64 (exp.f64 z) 2) -1))) (neg.f64 (+.f64 (exp.f64 z) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (neg.f64 (+.f64 -1 (pow.f64 (exp.f64 z) 3)))) (neg.f64 (+.f64 (exp.f64 z) (+.f64 1 (pow.f64 (exp.f64 z) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (expm1.f64 z)) (sqrt.f64 (+.f64 (pow.f64 (exp.f64 z) 2) -1))) (sqrt.f64 (+.f64 (exp.f64 z) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (expm1.f64 z)) (sqrt.f64 (+.f64 -1 (pow.f64 (exp.f64 z) 3)))) (sqrt.f64 (+.f64 (exp.f64 z) (+.f64 1 (pow.f64 (exp.f64 z) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (pow.f64 (expm1.f64 z) 2)) (cbrt.f64 (+.f64 (pow.f64 (exp.f64 z) 2) -1))) (cbrt.f64 (+.f64 (exp.f64 z) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (pow.f64 (expm1.f64 z) 2)) (cbrt.f64 (+.f64 -1 (pow.f64 (exp.f64 z) 3)))) (cbrt.f64 (+.f64 (exp.f64 z) (+.f64 1 (pow.f64 (exp.f64 z) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 z) 2) -1)) 1) (neg.f64 (+.f64 (exp.f64 z) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (+.f64 -1 (pow.f64 (exp.f64 z) 3))) 1) (neg.f64 (+.f64 (exp.f64 z) (+.f64 1 (pow.f64 (exp.f64 z) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (+.f64 (pow.f64 (exp.f64 z) 2) -1)) (sqrt.f64 (expm1.f64 z))) (sqrt.f64 (+.f64 (exp.f64 z) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (exp.f64 z) 3))) (sqrt.f64 (expm1.f64 z))) (sqrt.f64 (+.f64 (exp.f64 z) (+.f64 1 (pow.f64 (exp.f64 z) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 (exp.f64 z) 2) -1)) (cbrt.f64 (pow.f64 (expm1.f64 z) 2))) (cbrt.f64 (+.f64 (exp.f64 z) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (exp.f64 z) 3))) (cbrt.f64 (pow.f64 (expm1.f64 z) 2))) (cbrt.f64 (+.f64 (exp.f64 z) (+.f64 1 (pow.f64 (exp.f64 z) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (exp.f64 z) 2) (pow.f64 (exp.f64 z) 2)) 1) (/.f64 1 (+.f64 (exp.f64 z) 1))) (+.f64 1 (pow.f64 (exp.f64 z) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 z) 2) 3) 1) (/.f64 1 (+.f64 (exp.f64 z) 1))) (+.f64 (*.f64 (pow.f64 (exp.f64 z) 2) (pow.f64 (exp.f64 z) 2)) (+.f64 1 (pow.f64 (exp.f64 z) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (exp.f64 z) 3) (pow.f64 (exp.f64 z) 3)) 1) (/.f64 1 (+.f64 (exp.f64 z) (+.f64 1 (pow.f64 (exp.f64 z) 2))))) (+.f64 1 (pow.f64 (exp.f64 z) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 z) 3) 3) 1) (/.f64 1 (+.f64 (exp.f64 z) (+.f64 1 (pow.f64 (exp.f64 z) 2))))) (+.f64 (*.f64 (pow.f64 (exp.f64 z) 3) (pow.f64 (exp.f64 z) 3)) (+.f64 1 (pow.f64 (exp.f64 z) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 z) 2) -1) 1) (+.f64 (exp.f64 z) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 z) 2) -1) (sqrt.f64 (+.f64 (exp.f64 z) 1))) (sqrt.f64 (+.f64 (exp.f64 z) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 z) 2) -1) (*.f64 (cbrt.f64 (+.f64 (exp.f64 z) 1)) (cbrt.f64 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simplify117.0ms (0.8%)

Algorithm
egg-herbie
Rules
1438×distribute-rgt-in
1436×distribute-lft-in
816×associate-/l*
666×associate-*r*
662×associate-*l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
04286273
110596081
251636081
Stop Event
node limit
Counts
191 → 271
Calls
Call 1
Inputs
z
(+.f64 (*.f64 1/2 (pow.f64 z 2)) z)
(+.f64 (*.f64 1/2 (pow.f64 z 2)) (+.f64 z (*.f64 1/6 (pow.f64 z 3))))
(+.f64 (*.f64 1/24 (pow.f64 z 4)) (+.f64 (*.f64 1/2 (pow.f64 z 2)) (+.f64 z (*.f64 1/6 (pow.f64 z 3)))))
(/.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 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 (exp.f64 z) -1)
(+.f64 -1 (exp.f64 z))
(*.f64 1 (expm1.f64 z))
(*.f64 (expm1.f64 z) 1)
(*.f64 (sqrt.f64 (expm1.f64 z)) (sqrt.f64 (expm1.f64 z)))
(*.f64 (cbrt.f64 (expm1.f64 z)) (cbrt.f64 (pow.f64 (expm1.f64 z) 2)))
(*.f64 (cbrt.f64 (pow.f64 (expm1.f64 z) 2)) (cbrt.f64 (expm1.f64 z)))
(*.f64 (+.f64 (pow.f64 (exp.f64 z) 2) -1) (/.f64 1 (+.f64 (exp.f64 z) 1)))
(*.f64 (+.f64 -1 (pow.f64 (exp.f64 z) 3)) (/.f64 1 (+.f64 (exp.f64 z) (+.f64 1 (pow.f64 (exp.f64 z) 2)))))
(*.f64 (+.f64 1 (sqrt.f64 (exp.f64 z))) (-.f64 (sqrt.f64 (exp.f64 z)) 1))
(*.f64 (-.f64 (sqrt.f64 (exp.f64 z)) 1) (+.f64 1 (sqrt.f64 (exp.f64 z))))
(*.f64 (/.f64 1 (+.f64 (exp.f64 z) 1)) (+.f64 (pow.f64 (exp.f64 z) 2) -1))
(*.f64 (/.f64 1 (+.f64 (exp.f64 z) (+.f64 1 (pow.f64 (exp.f64 z) 2)))) (+.f64 -1 (pow.f64 (exp.f64 z) 3)))
(/.f64 1 (/.f64 1 (expm1.f64 z)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (exp.f64 z) 2) (-.f64 1 (*.f64 (exp.f64 z) -1))) (+.f64 -1 (pow.f64 (exp.f64 z) 3))))
(/.f64 (expm1.f64 z) 1)
(/.f64 (sqrt.f64 (expm1.f64 z)) (/.f64 1 (sqrt.f64 (expm1.f64 z))))
(/.f64 (cbrt.f64 (expm1.f64 z)) (/.f64 1 (cbrt.f64 (pow.f64 (expm1.f64 z) 2))))
(/.f64 (cbrt.f64 (pow.f64 (expm1.f64 z) 2)) (/.f64 1 (cbrt.f64 (expm1.f64 z))))
(/.f64 (+.f64 (pow.f64 (exp.f64 z) 2) -1) (+.f64 (exp.f64 z) 1))
(/.f64 (+.f64 (pow.f64 (exp.f64 z) 2) -1) (/.f64 1 (/.f64 1 (+.f64 (exp.f64 z) 1))))
(/.f64 (+.f64 (exp.f64 z) 1) (/.f64 (+.f64 (exp.f64 z) 1) (expm1.f64 z)))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 z) 3)) (+.f64 (exp.f64 z) (+.f64 1 (pow.f64 (exp.f64 z) 2))))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 z) 3)) (+.f64 (pow.f64 (exp.f64 z) 2) (-.f64 1 (*.f64 (exp.f64 z) -1))))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 z) 3)) (/.f64 1 (/.f64 1 (+.f64 (exp.f64 z) (+.f64 1 (pow.f64 (exp.f64 z) 2))))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 (exp.f64 z) 2) -1)) (/.f64 (+.f64 (exp.f64 z) 1) (sqrt.f64 (+.f64 (pow.f64 (exp.f64 z) 2) -1))))
(/.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (exp.f64 z) 3))) (/.f64 (+.f64 (exp.f64 z) (+.f64 1 (pow.f64 (exp.f64 z) 2))) (sqrt.f64 (+.f64 -1 (pow.f64 (exp.f64 z) 3)))))
(/.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (exp.f64 z) 3))) (/.f64 (+.f64 (pow.f64 (exp.f64 z) 2) (-.f64 1 (*.f64 (exp.f64 z) -1))) (sqrt.f64 (+.f64 -1 (pow.f64 (exp.f64 z) 3)))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 (exp.f64 z) 2) -1)) (cbrt.f64 (+.f64 (pow.f64 (exp.f64 z) 2) -1))) (/.f64 (+.f64 (exp.f64 z) 1) (cbrt.f64 (+.f64 (pow.f64 (exp.f64 z) 2) -1))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (exp.f64 z) 3))) (cbrt.f64 (+.f64 -1 (pow.f64 (exp.f64 z) 3)))) (/.f64 (+.f64 (exp.f64 z) (+.f64 1 (pow.f64 (exp.f64 z) 2))) (cbrt.f64 (+.f64 -1 (pow.f64 (exp.f64 z) 3)))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (exp.f64 z) 3))) (cbrt.f64 (+.f64 -1 (pow.f64 (exp.f64 z) 3)))) (/.f64 (+.f64 (pow.f64 (exp.f64 z) 2) (-.f64 1 (*.f64 (exp.f64 z) -1))) (cbrt.f64 (+.f64 -1 (pow.f64 (exp.f64 z) 3)))))
(/.f64 (+.f64 1 (sqrt.f64 (exp.f64 z))) (/.f64 1 (-.f64 (sqrt.f64 (exp.f64 z)) 1)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 z) 2) -1)) (neg.f64 (+.f64 (exp.f64 z) 1)))
(/.f64 (neg.f64 (+.f64 -1 (pow.f64 (exp.f64 z) 3))) (neg.f64 (+.f64 (exp.f64 z) (+.f64 1 (pow.f64 (exp.f64 z) 2)))))
(/.f64 (*.f64 1 (neg.f64 (+.f64 (pow.f64 (exp.f64 z) 2) -1))) (neg.f64 (+.f64 (exp.f64 z) 1)))
(/.f64 (*.f64 1 (neg.f64 (+.f64 -1 (pow.f64 (exp.f64 z) 3)))) (neg.f64 (+.f64 (exp.f64 z) (+.f64 1 (pow.f64 (exp.f64 z) 2)))))
(/.f64 (*.f64 (sqrt.f64 (expm1.f64 z)) (sqrt.f64 (+.f64 (pow.f64 (exp.f64 z) 2) -1))) (sqrt.f64 (+.f64 (exp.f64 z) 1)))
(/.f64 (*.f64 (sqrt.f64 (expm1.f64 z)) (sqrt.f64 (+.f64 -1 (pow.f64 (exp.f64 z) 3)))) (sqrt.f64 (+.f64 (exp.f64 z) (+.f64 1 (pow.f64 (exp.f64 z) 2)))))
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (expm1.f64 z) 2)) (cbrt.f64 (+.f64 (pow.f64 (exp.f64 z) 2) -1))) (cbrt.f64 (+.f64 (exp.f64 z) 1)))
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (expm1.f64 z) 2)) (cbrt.f64 (+.f64 -1 (pow.f64 (exp.f64 z) 3)))) (cbrt.f64 (+.f64 (exp.f64 z) (+.f64 1 (pow.f64 (exp.f64 z) 2)))))
(/.f64 (*.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 z) 2) -1)) 1) (neg.f64 (+.f64 (exp.f64 z) 1)))
(/.f64 (*.f64 (neg.f64 (+.f64 -1 (pow.f64 (exp.f64 z) 3))) 1) (neg.f64 (+.f64 (exp.f64 z) (+.f64 1 (pow.f64 (exp.f64 z) 2)))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 (pow.f64 (exp.f64 z) 2) -1)) (sqrt.f64 (expm1.f64 z))) (sqrt.f64 (+.f64 (exp.f64 z) 1)))
(/.f64 (*.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (exp.f64 z) 3))) (sqrt.f64 (expm1.f64 z))) (sqrt.f64 (+.f64 (exp.f64 z) (+.f64 1 (pow.f64 (exp.f64 z) 2)))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 (exp.f64 z) 2) -1)) (cbrt.f64 (pow.f64 (expm1.f64 z) 2))) (cbrt.f64 (+.f64 (exp.f64 z) 1)))
(/.f64 (*.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (exp.f64 z) 3))) (cbrt.f64 (pow.f64 (expm1.f64 z) 2))) (cbrt.f64 (+.f64 (exp.f64 z) (+.f64 1 (pow.f64 (exp.f64 z) 2)))))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (exp.f64 z) 2) (pow.f64 (exp.f64 z) 2)) 1) (/.f64 1 (+.f64 (exp.f64 z) 1))) (+.f64 1 (pow.f64 (exp.f64 z) 2)))
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 z) 2) 3) 1) (/.f64 1 (+.f64 (exp.f64 z) 1))) (+.f64 (*.f64 (pow.f64 (exp.f64 z) 2) (pow.f64 (exp.f64 z) 2)) (+.f64 1 (pow.f64 (exp.f64 z) 2))))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (exp.f64 z) 3) (pow.f64 (exp.f64 z) 3)) 1) (/.f64 1 (+.f64 (exp.f64 z) (+.f64 1 (pow.f64 (exp.f64 z) 2))))) (+.f64 1 (pow.f64 (exp.f64 z) 3)))
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 z) 3) 3) 1) (/.f64 1 (+.f64 (exp.f64 z) (+.f64 1 (pow.f64 (exp.f64 z) 2))))) (+.f64 (*.f64 (pow.f64 (exp.f64 z) 3) (pow.f64 (exp.f64 z) 3)) (+.f64 1 (pow.f64 (exp.f64 z) 3))))
(/.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 z) 2) -1) 1) (+.f64 (exp.f64 z) 1))
(/.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 z) 2) -1) (sqrt.f64 (+.f64 (exp.f64 z) 1))) (sqrt.f64 (+.f64 (exp.f64 z) 1)))
(/.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 z) 2) -1) (*.f64 (cbrt.f64 (+.f64 (exp.f64 z) 1)) (cbrt.f64 (+.f64 (exp.f64 z) 1)))) (cbrt.f64 (+.f64 (exp.f64 z) 1)))
(/.f64 (/.f64 (+.f64 -1 (pow.f64 (exp.f64 z) 3)) 1) (+.f64 (exp.f64 z) (+.f64 1 (pow.f64 (exp.f64 z) 2))))
(/.f64 (/.f64 (+.f64 -1 (pow.f64 (exp.f64 z) 3)) (sqrt.f64 (+.f64 (exp.f64 z) (+.f64 1 (pow.f64 (exp.f64 z) 2))))) (sqrt.f64 (+.f64 (exp.f64 z) (+.f64 1 (pow.f64 (exp.f64 z) 2)))))
(/.f64 (/.f64 (+.f64 -1 (pow.f64 (exp.f64 z) 3)) (*.f64 (cbrt.f64 (+.f64 (exp.f64 z) (+.f64 1 (pow.f64 (exp.f64 z) 2)))) (cbrt.f64 (+.f64 (exp.f64 z) (+.f64 1 (pow.f64 (exp.f64 z) 2)))))) (cbrt.f64 (+.f64 (exp.f64 z) (+.f64 1 (pow.f64 (exp.f64 z) 2)))))
(pow.f64 (expm1.f64 z) 1)
(pow.f64 (sqrt.f64 (expm1.f64 z)) 2)
(pow.f64 (cbrt.f64 (expm1.f64 z)) 3)
(pow.f64 (pow.f64 (expm1.f64 z) 3) 1/3)
(sqrt.f64 (pow.f64 (expm1.f64 z) 2))
(log.f64 (exp.f64 (expm1.f64 z)))
(log.f64 (+.f64 1 (expm1.f64 (expm1.f64 z))))
(cbrt.f64 (pow.f64 (expm1.f64 z) 3))
(expm1.f64 z)
(exp.f64 (log.f64 (expm1.f64 z)))
(log1p.f64 (expm1.f64 (expm1.f64 z)))
(fma.f64 1 (exp.f64 z) -1)
(fma.f64 (sqrt.f64 (exp.f64 z)) (sqrt.f64 (exp.f64 z)) -1)
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 z)) 2) (cbrt.f64 (exp.f64 z)) -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 1 (*.f64 (expm1.f64 z) (/.f64 y t)))
(*.f64 (expm1.f64 z) (/.f64 y t))
(*.f64 y (/.f64 (expm1.f64 z) t))
(*.f64 (*.f64 (expm1.f64 z) y) (/.f64 1 t))
(*.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) 1)
(*.f64 (sqrt.f64 (*.f64 (expm1.f64 z) (/.f64 y t))) (sqrt.f64 (*.f64 (expm1.f64 z) (/.f64 y t))))
(*.f64 (sqrt.f64 (*.f64 (expm1.f64 z) y)) (/.f64 (sqrt.f64 (*.f64 (expm1.f64 z) 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 (cbrt.f64 (*.f64 (expm1.f64 z) (/.f64 y t))) (/.f64 (pow.f64 (cbrt.f64 (*.f64 (expm1.f64 z) y)) 2) (pow.f64 (cbrt.f64 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 (pow.f64 (cbrt.f64 (*.f64 (expm1.f64 z) y)) 2) (/.f64 (cbrt.f64 (*.f64 (expm1.f64 z) y)) t))
(*.f64 (/.f64 1 t) (*.f64 (expm1.f64 z) y))
(*.f64 (*.f64 (expm1.f64 z) (neg.f64 y)) (/.f64 -1 t))
(*.f64 (/.f64 (sqrt.f64 (*.f64 (expm1.f64 z) y)) t) (sqrt.f64 (*.f64 (expm1.f64 z) y)))
(*.f64 (/.f64 (sqrt.f64 (*.f64 (expm1.f64 z) y)) t) (/.f64 (sqrt.f64 (*.f64 (expm1.f64 z) y)) 1))
(*.f64 (/.f64 (cbrt.f64 (*.f64 (expm1.f64 z) y)) t) (pow.f64 (cbrt.f64 (*.f64 (expm1.f64 z) y)) 2))
(*.f64 (/.f64 (cbrt.f64 (*.f64 (expm1.f64 z) y)) t) (/.f64 (pow.f64 (cbrt.f64 (*.f64 (expm1.f64 z) y)) 2) 1))
(*.f64 (/.f64 1 (sqrt.f64 t)) (/.f64 (expm1.f64 z) (/.f64 (sqrt.f64 t) y)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 t) 2)) (/.f64 (expm1.f64 z) (/.f64 (cbrt.f64 t) y)))
(*.f64 (/.f64 (expm1.f64 z) (/.f64 (sqrt.f64 t) y)) (/.f64 1 (sqrt.f64 t)))
(*.f64 (/.f64 y t) (expm1.f64 z))
(*.f64 (/.f64 y (sqrt.f64 t)) (/.f64 (expm1.f64 z) (sqrt.f64 t)))
(*.f64 (/.f64 y (cbrt.f64 t)) (/.f64 (expm1.f64 z) (pow.f64 (cbrt.f64 t) 2)))
(*.f64 (/.f64 (expm1.f64 z) (/.f64 (cbrt.f64 t) y)) (/.f64 1 (pow.f64 (cbrt.f64 t) 2)))
(*.f64 (/.f64 (expm1.f64 z) t) y)
(*.f64 (/.f64 (expm1.f64 z) t) (/.f64 y 1))
(*.f64 (/.f64 -1 t) (*.f64 (expm1.f64 z) (neg.f64 y)))
(*.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 y 1) (/.f64 (expm1.f64 z) t))
(*.f64 (/.f64 y (pow.f64 (cbrt.f64 t) 2)) (/.f64 (expm1.f64 z) (cbrt.f64 t)))
(*.f64 (/.f64 (expm1.f64 z) (cbrt.f64 t)) (/.f64 y (pow.f64 (cbrt.f64 t) 2)))
(*.f64 (/.f64 (sqrt.f64 (*.f64 (expm1.f64 z) y)) 1) (/.f64 (sqrt.f64 (*.f64 (expm1.f64 z) y)) t))
(*.f64 (/.f64 (sqrt.f64 (*.f64 (expm1.f64 z) y)) (pow.f64 (cbrt.f64 t) 2)) (/.f64 (sqrt.f64 (*.f64 (expm1.f64 z) y)) (cbrt.f64 t)))
(*.f64 (/.f64 (sqrt.f64 (*.f64 (expm1.f64 z) y)) (cbrt.f64 t)) (/.f64 (sqrt.f64 (*.f64 (expm1.f64 z) y)) (pow.f64 (cbrt.f64 t) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (expm1.f64 z) y)) 2) 1) (/.f64 (cbrt.f64 (*.f64 (expm1.f64 z) y)) t))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (expm1.f64 z) y)) 2) (sqrt.f64 t)) (/.f64 (cbrt.f64 (*.f64 (expm1.f64 z) y)) (sqrt.f64 t)))
(*.f64 (/.f64 (cbrt.f64 (*.f64 (expm1.f64 z) y)) (sqrt.f64 t)) (/.f64 (pow.f64 (cbrt.f64 (*.f64 (expm1.f64 z) y)) 2) (sqrt.f64 t)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (expm1.f64 z) y)) 2) (pow.f64 (cbrt.f64 t) 2)) (cbrt.f64 (*.f64 (expm1.f64 z) (/.f64 y t))))
(pow.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) 1)
(pow.f64 (sqrt.f64 (*.f64 (expm1.f64 z) (/.f64 y t))) 2)
(pow.f64 (cbrt.f64 (*.f64 (expm1.f64 z) (/.f64 y t))) 3)
(pow.f64 (pow.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) 3) 1/3)
(pow.f64 (/.f64 (/.f64 t y) (expm1.f64 z)) -1)
(neg.f64 (/.f64 (expm1.f64 z) (/.f64 (neg.f64 t) y)))
(sqrt.f64 (pow.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) 2))
(log.f64 (exp.f64 (*.f64 (expm1.f64 z) (/.f64 y t))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (expm1.f64 z) (/.f64 y t)))))
(cbrt.f64 (pow.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) 3))
(expm1.f64 (log1p.f64 (*.f64 (expm1.f64 z) (/.f64 y t))))
(exp.f64 (log.f64 (*.f64 (expm1.f64 z) (/.f64 y t))))
(log1p.f64 (expm1.f64 (*.f64 (expm1.f64 z) (/.f64 y t))))
(+.f64 (*.f64 (exp.f64 z) y) (*.f64 y -1))
(+.f64 (*.f64 y -1) (*.f64 (exp.f64 z) y))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) 1)
(/.f64 1 (/.f64 1 (*.f64 (expm1.f64 z) y)))
(/.f64 (expm1.f64 z) (/.f64 1 y))
(/.f64 y (/.f64 1 (expm1.f64 z)))
(/.f64 (*.f64 (expm1.f64 z) y) 1)
(/.f64 (sqrt.f64 y) (/.f64 1 (*.f64 (expm1.f64 z) (sqrt.f64 y))))
(/.f64 (sqrt.f64 (*.f64 (expm1.f64 z) y)) (/.f64 1 (sqrt.f64 (*.f64 (expm1.f64 z) y))))
(/.f64 (sqrt.f64 (expm1.f64 z)) (/.f64 1 (*.f64 y (sqrt.f64 (expm1.f64 z)))))
(/.f64 (pow.f64 (cbrt.f64 y) 2) (/.f64 1 (*.f64 (expm1.f64 z) (cbrt.f64 y))))
(/.f64 (cbrt.f64 (*.f64 (expm1.f64 z) y)) (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 (expm1.f64 z) y)) 2)))
(/.f64 (pow.f64 (cbrt.f64 (*.f64 (expm1.f64 z) y)) 2) (/.f64 1 (cbrt.f64 (*.f64 (expm1.f64 z) y))))
(/.f64 (cbrt.f64 (pow.f64 (expm1.f64 z) 2)) (/.f64 1 (*.f64 y (cbrt.f64 (expm1.f64 z)))))
(/.f64 (+.f64 (pow.f64 (exp.f64 z) 2) -1) (/.f64 (+.f64 (exp.f64 z) 1) y))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 z) 3)) (/.f64 (+.f64 (exp.f64 z) (+.f64 1 (pow.f64 (exp.f64 z) 2))) y))
(/.f64 (*.f64 (expm1.f64 z) (pow.f64 (cbrt.f64 y) 2)) (/.f64 1 (cbrt.f64 y)))
(/.f64 (*.f64 y (cbrt.f64 (pow.f64 (expm1.f64 z) 2))) (/.f64 1 (cbrt.f64 (expm1.f64 z))))
(/.f64 (*.f64 y (sqrt.f64 (expm1.f64 z))) (/.f64 1 (sqrt.f64 (expm1.f64 z))))
(/.f64 (*.f64 (expm1.f64 z) (sqrt.f64 y)) (/.f64 1 (sqrt.f64 y)))
(/.f64 (*.f64 y (+.f64 (pow.f64 (exp.f64 z) 2) -1)) (+.f64 (exp.f64 z) 1))
(/.f64 (*.f64 y (+.f64 -1 (pow.f64 (exp.f64 z) 3))) (+.f64 (exp.f64 z) (+.f64 1 (pow.f64 (exp.f64 z) 2))))
(/.f64 (*.f64 y (+.f64 -1 (pow.f64 (exp.f64 z) 3))) (+.f64 (pow.f64 (exp.f64 z) 2) (-.f64 1 (*.f64 (exp.f64 z) -1))))
(/.f64 (*.f64 1 (*.f64 y (+.f64 (pow.f64 (exp.f64 z) 2) -1))) (+.f64 (exp.f64 z) 1))
(/.f64 (*.f64 1 (*.f64 y (+.f64 -1 (pow.f64 (exp.f64 z) 3)))) (+.f64 (exp.f64 z) (+.f64 1 (pow.f64 (exp.f64 z) 2))))
(/.f64 (*.f64 y (neg.f64 (+.f64 (pow.f64 (exp.f64 z) 2) -1))) (neg.f64 (+.f64 (exp.f64 z) 1)))
(/.f64 (*.f64 y (neg.f64 (+.f64 -1 (pow.f64 (exp.f64 z) 3)))) (neg.f64 (+.f64 (exp.f64 z) (+.f64 1 (pow.f64 (exp.f64 z) 2)))))
(/.f64 (*.f64 (*.f64 y (sqrt.f64 (expm1.f64 z))) (sqrt.f64 (+.f64 (pow.f64 (exp.f64 z) 2) -1))) (sqrt.f64 (+.f64 (exp.f64 z) 1)))
(/.f64 (*.f64 (*.f64 y (sqrt.f64 (expm1.f64 z))) (sqrt.f64 (+.f64 -1 (pow.f64 (exp.f64 z) 3)))) (sqrt.f64 (+.f64 (exp.f64 z) (+.f64 1 (pow.f64 (exp.f64 z) 2)))))
(/.f64 (*.f64 (*.f64 y (cbrt.f64 (pow.f64 (expm1.f64 z) 2))) (cbrt.f64 (+.f64 (pow.f64 (exp.f64 z) 2) -1))) (cbrt.f64 (+.f64 (exp.f64 z) 1)))
(/.f64 (*.f64 (*.f64 y (cbrt.f64 (pow.f64 (expm1.f64 z) 2))) (cbrt.f64 (+.f64 -1 (pow.f64 (exp.f64 z) 3)))) (cbrt.f64 (+.f64 (exp.f64 z) (+.f64 1 (pow.f64 (exp.f64 z) 2)))))
(/.f64 (*.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 z) 2) -1)) y) (neg.f64 (+.f64 (exp.f64 z) 1)))
(/.f64 (*.f64 (neg.f64 (+.f64 -1 (pow.f64 (exp.f64 z) 3))) y) (neg.f64 (+.f64 (exp.f64 z) (+.f64 1 (pow.f64 (exp.f64 z) 2)))))
(/.f64 (*.f64 (*.f64 y (+.f64 (pow.f64 (exp.f64 z) 2) -1)) 1) (+.f64 (exp.f64 z) 1))
(/.f64 (*.f64 (*.f64 y (+.f64 -1 (pow.f64 (exp.f64 z) 3))) 1) (+.f64 (exp.f64 z) (+.f64 1 (pow.f64 (exp.f64 z) 2))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 (pow.f64 (exp.f64 z) 2) -1)) (*.f64 y (sqrt.f64 (expm1.f64 z)))) (sqrt.f64 (+.f64 (exp.f64 z) 1)))
(/.f64 (*.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (exp.f64 z) 3))) (*.f64 y (sqrt.f64 (expm1.f64 z)))) (sqrt.f64 (+.f64 (exp.f64 z) (+.f64 1 (pow.f64 (exp.f64 z) 2)))))
(/.f64 (/.f64 (*.f64 y (+.f64 (pow.f64 (exp.f64 z) 2) -1)) 1) (+.f64 (exp.f64 z) 1))
(/.f64 (/.f64 (*.f64 y (+.f64 (pow.f64 (exp.f64 z) 2) -1)) (sqrt.f64 (+.f64 (exp.f64 z) 1))) (sqrt.f64 (+.f64 (exp.f64 z) 1)))
(/.f64 (/.f64 (*.f64 y (+.f64 (pow.f64 (exp.f64 z) 2) -1)) (*.f64 (cbrt.f64 (+.f64 (exp.f64 z) 1)) (cbrt.f64 (+.f64 (exp.f64 z) 1)))) (cbrt.f64 (+.f64 (exp.f64 z) 1)))
(/.f64 (/.f64 (*.f64 y (+.f64 -1 (pow.f64 (exp.f64 z) 3))) 1) (+.f64 (exp.f64 z) (+.f64 1 (pow.f64 (exp.f64 z) 2))))
(/.f64 (/.f64 (*.f64 y (+.f64 -1 (pow.f64 (exp.f64 z) 3))) (sqrt.f64 (+.f64 (exp.f64 z) (+.f64 1 (pow.f64 (exp.f64 z) 2))))) (sqrt.f64 (+.f64 (exp.f64 z) (+.f64 1 (pow.f64 (exp.f64 z) 2)))))
(/.f64 (/.f64 (*.f64 y (+.f64 -1 (pow.f64 (exp.f64 z) 3))) (*.f64 (cbrt.f64 (+.f64 (exp.f64 z) (+.f64 1 (pow.f64 (exp.f64 z) 2)))) (cbrt.f64 (+.f64 (exp.f64 z) (+.f64 1 (pow.f64 (exp.f64 z) 2)))))) (cbrt.f64 (+.f64 (exp.f64 z) (+.f64 1 (pow.f64 (exp.f64 z) 2)))))
(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 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)))
(log1p.f64 (expm1.f64 (*.f64 (expm1.f64 z) y)))
Outputs
z
(+.f64 (*.f64 1/2 (pow.f64 z 2)) z)
(fma.f64 1/2 (*.f64 z z) z)
(+.f64 (*.f64 1/2 (pow.f64 z 2)) (+.f64 z (*.f64 1/6 (pow.f64 z 3))))
(+.f64 (fma.f64 1/2 (*.f64 z z) z) (*.f64 1/6 (pow.f64 z 3)))
(fma.f64 1/2 (*.f64 z z) (fma.f64 1/6 (pow.f64 z 3) z))
(+.f64 (*.f64 1/24 (pow.f64 z 4)) (+.f64 (*.f64 1/2 (pow.f64 z 2)) (+.f64 z (*.f64 1/6 (pow.f64 z 3)))))
(fma.f64 1/24 (pow.f64 z 4) (+.f64 (fma.f64 1/2 (*.f64 z z) z) (*.f64 1/6 (pow.f64 z 3))))
(fma.f64 1/24 (pow.f64 z 4) (fma.f64 1/2 (*.f64 z z) (fma.f64 1/6 (pow.f64 z 3) z)))
(/.f64 (*.f64 y z) t)
(/.f64 y (/.f64 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 (*.f64 (*.f64 1/2 y) (*.f64 z z)) t))
(fma.f64 1/2 (*.f64 (/.f64 y t) (*.f64 z z)) (/.f64 y (/.f64 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 (*.f64 (*.f64 1/2 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 y (/.f64 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 (*.f64 (*.f64 1/2 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 y (/.f64 t z)))))
(*.f64 y z)
(*.f64 z y)
(+.f64 (*.f64 y z) (*.f64 1/2 (*.f64 y (pow.f64 z 2))))
(fma.f64 y z (*.f64 (*.f64 1/2 y) (*.f64 z z)))
(fma.f64 z y (*.f64 (*.f64 (*.f64 1/2 z) z) y))
(+.f64 (*.f64 y z) (+.f64 (*.f64 1/2 (*.f64 y (pow.f64 z 2))) (*.f64 1/6 (*.f64 y (pow.f64 z 3)))))
(fma.f64 y z (fma.f64 1/2 (*.f64 (*.f64 z z) y) (*.f64 1/6 (*.f64 (pow.f64 z 3) y))))
(fma.f64 z y (fma.f64 1/6 (*.f64 (pow.f64 z 3) y) (*.f64 (*.f64 (*.f64 1/2 z) z) y)))
(+.f64 (*.f64 y z) (+.f64 (*.f64 1/2 (*.f64 y (pow.f64 z 2))) (+.f64 (*.f64 1/24 (*.f64 y (pow.f64 z 4))) (*.f64 1/6 (*.f64 y (pow.f64 z 3))))))
(fma.f64 y z (fma.f64 1/2 (*.f64 (*.f64 z z) y) (fma.f64 1/24 (*.f64 (pow.f64 z 4) y) (*.f64 1/6 (*.f64 (pow.f64 z 3) y)))))
(fma.f64 z y (fma.f64 1/2 (*.f64 z (*.f64 z y)) (fma.f64 1/6 (*.f64 (pow.f64 z 3) y) (*.f64 (pow.f64 z 4) (*.f64 1/24 y)))))
(+.f64 (exp.f64 z) -1)
(+.f64 -1 (exp.f64 z))
(+.f64 (exp.f64 z) -1)
(*.f64 1 (expm1.f64 z))
(expm1.f64 z)
(*.f64 (expm1.f64 z) 1)
(expm1.f64 z)
(*.f64 (sqrt.f64 (expm1.f64 z)) (sqrt.f64 (expm1.f64 z)))
(expm1.f64 z)
(*.f64 (cbrt.f64 (expm1.f64 z)) (cbrt.f64 (pow.f64 (expm1.f64 z) 2)))
(*.f64 (cbrt.f64 (pow.f64 (expm1.f64 z) 2)) (cbrt.f64 (expm1.f64 z)))
(*.f64 (cbrt.f64 (expm1.f64 z)) (cbrt.f64 (pow.f64 (expm1.f64 z) 2)))
(*.f64 (+.f64 (pow.f64 (exp.f64 z) 2) -1) (/.f64 1 (+.f64 (exp.f64 z) 1)))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 z) 2)) (+.f64 (exp.f64 z) 1))
(/.f64 (fma.f64 (exp.f64 z) (exp.f64 z) -1) (+.f64 (exp.f64 z) 1))
(*.f64 (+.f64 -1 (pow.f64 (exp.f64 z) 3)) (/.f64 1 (+.f64 (exp.f64 z) (+.f64 1 (pow.f64 (exp.f64 z) 2)))))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 z) 3)) (+.f64 (exp.f64 z) (+.f64 1 (pow.f64 (exp.f64 z) 2))))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 z) 3)) (+.f64 (exp.f64 z) (fma.f64 (exp.f64 z) (exp.f64 z) 1)))
(*.f64 (+.f64 1 (sqrt.f64 (exp.f64 z))) (-.f64 (sqrt.f64 (exp.f64 z)) 1))
(+.f64 (exp.f64 z) -1)
(*.f64 (-.f64 (sqrt.f64 (exp.f64 z)) 1) (+.f64 1 (sqrt.f64 (exp.f64 z))))
(+.f64 (exp.f64 z) -1)
(*.f64 (/.f64 1 (+.f64 (exp.f64 z) 1)) (+.f64 (pow.f64 (exp.f64 z) 2) -1))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 z) 2)) (+.f64 (exp.f64 z) 1))
(/.f64 (fma.f64 (exp.f64 z) (exp.f64 z) -1) (+.f64 (exp.f64 z) 1))
(*.f64 (/.f64 1 (+.f64 (exp.f64 z) (+.f64 1 (pow.f64 (exp.f64 z) 2)))) (+.f64 -1 (pow.f64 (exp.f64 z) 3)))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 z) 3)) (+.f64 (exp.f64 z) (+.f64 1 (pow.f64 (exp.f64 z) 2))))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 z) 3)) (+.f64 (exp.f64 z) (fma.f64 (exp.f64 z) (exp.f64 z) 1)))
(/.f64 1 (/.f64 1 (expm1.f64 z)))
(expm1.f64 z)
(/.f64 1 (/.f64 (+.f64 (pow.f64 (exp.f64 z) 2) (-.f64 1 (*.f64 (exp.f64 z) -1))) (+.f64 -1 (pow.f64 (exp.f64 z) 3))))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 z) 3)) (+.f64 (exp.f64 z) (+.f64 1 (pow.f64 (exp.f64 z) 2))))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 z) 3)) (+.f64 (exp.f64 z) (fma.f64 (exp.f64 z) (exp.f64 z) 1)))
(/.f64 (expm1.f64 z) 1)
(expm1.f64 z)
(/.f64 (sqrt.f64 (expm1.f64 z)) (/.f64 1 (sqrt.f64 (expm1.f64 z))))
(expm1.f64 z)
(/.f64 (cbrt.f64 (expm1.f64 z)) (/.f64 1 (cbrt.f64 (pow.f64 (expm1.f64 z) 2))))
(*.f64 (cbrt.f64 (expm1.f64 z)) (cbrt.f64 (pow.f64 (expm1.f64 z) 2)))
(/.f64 (cbrt.f64 (pow.f64 (expm1.f64 z) 2)) (/.f64 1 (cbrt.f64 (expm1.f64 z))))
(*.f64 (cbrt.f64 (expm1.f64 z)) (cbrt.f64 (pow.f64 (expm1.f64 z) 2)))
(/.f64 (+.f64 (pow.f64 (exp.f64 z) 2) -1) (+.f64 (exp.f64 z) 1))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 z) 2)) (+.f64 (exp.f64 z) 1))
(/.f64 (fma.f64 (exp.f64 z) (exp.f64 z) -1) (+.f64 (exp.f64 z) 1))
(/.f64 (+.f64 (pow.f64 (exp.f64 z) 2) -1) (/.f64 1 (/.f64 1 (+.f64 (exp.f64 z) 1))))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 z) 2)) (+.f64 (exp.f64 z) 1))
(/.f64 (fma.f64 (exp.f64 z) (exp.f64 z) -1) (+.f64 (exp.f64 z) 1))
(/.f64 (+.f64 (exp.f64 z) 1) (/.f64 (+.f64 (exp.f64 z) 1) (expm1.f64 z)))
(expm1.f64 z)
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 z) 3)) (+.f64 (exp.f64 z) (+.f64 1 (pow.f64 (exp.f64 z) 2))))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 z) 3)) (+.f64 (exp.f64 z) (fma.f64 (exp.f64 z) (exp.f64 z) 1)))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 z) 3)) (+.f64 (pow.f64 (exp.f64 z) 2) (-.f64 1 (*.f64 (exp.f64 z) -1))))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 z) 3)) (+.f64 (exp.f64 z) (+.f64 1 (pow.f64 (exp.f64 z) 2))))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 z) 3)) (+.f64 (exp.f64 z) (fma.f64 (exp.f64 z) (exp.f64 z) 1)))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 z) 3)) (/.f64 1 (/.f64 1 (+.f64 (exp.f64 z) (+.f64 1 (pow.f64 (exp.f64 z) 2))))))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 z) 3)) (+.f64 (exp.f64 z) (+.f64 1 (pow.f64 (exp.f64 z) 2))))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 z) 3)) (+.f64 (exp.f64 z) (fma.f64 (exp.f64 z) (exp.f64 z) 1)))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 (exp.f64 z) 2) -1)) (/.f64 (+.f64 (exp.f64 z) 1) (sqrt.f64 (+.f64 (pow.f64 (exp.f64 z) 2) -1))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (exp.f64 z) 2))) (+.f64 (exp.f64 z) 1)) (sqrt.f64 (+.f64 -1 (pow.f64 (exp.f64 z) 2))))
(*.f64 (sqrt.f64 (fma.f64 (exp.f64 z) (exp.f64 z) -1)) (/.f64 (sqrt.f64 (fma.f64 (exp.f64 z) (exp.f64 z) -1)) (+.f64 (exp.f64 z) 1)))
(/.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (exp.f64 z) 3))) (/.f64 (+.f64 (exp.f64 z) (+.f64 1 (pow.f64 (exp.f64 z) 2))) (sqrt.f64 (+.f64 -1 (pow.f64 (exp.f64 z) 3)))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (exp.f64 z) 3))) (+.f64 (exp.f64 z) (+.f64 1 (pow.f64 (exp.f64 z) 2)))) (sqrt.f64 (+.f64 -1 (pow.f64 (exp.f64 z) 3))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (exp.f64 z) 3))) (sqrt.f64 (+.f64 -1 (pow.f64 (exp.f64 z) 3)))) (+.f64 (exp.f64 z) (fma.f64 (exp.f64 z) (exp.f64 z) 1)))
(/.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (exp.f64 z) 3))) (/.f64 (+.f64 (pow.f64 (exp.f64 z) 2) (-.f64 1 (*.f64 (exp.f64 z) -1))) (sqrt.f64 (+.f64 -1 (pow.f64 (exp.f64 z) 3)))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (exp.f64 z) 3))) (+.f64 (exp.f64 z) (+.f64 1 (pow.f64 (exp.f64 z) 2)))) (sqrt.f64 (+.f64 -1 (pow.f64 (exp.f64 z) 3))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (exp.f64 z) 3))) (sqrt.f64 (+.f64 -1 (pow.f64 (exp.f64 z) 3)))) (+.f64 (exp.f64 z) (fma.f64 (exp.f64 z) (exp.f64 z) 1)))
(/.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 (exp.f64 z) 2) -1)) (cbrt.f64 (+.f64 (pow.f64 (exp.f64 z) 2) -1))) (/.f64 (+.f64 (exp.f64 z) 1) (cbrt.f64 (+.f64 (pow.f64 (exp.f64 z) 2) -1))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (exp.f64 z) 2))) (cbrt.f64 (+.f64 -1 (pow.f64 (exp.f64 z) 2)))) (/.f64 (+.f64 (exp.f64 z) 1) (cbrt.f64 (+.f64 -1 (pow.f64 (exp.f64 z) 2)))))
(*.f64 (cbrt.f64 (fma.f64 (exp.f64 z) (exp.f64 z) -1)) (/.f64 (cbrt.f64 (fma.f64 (exp.f64 z) (exp.f64 z) -1)) (/.f64 (+.f64 (exp.f64 z) 1) (cbrt.f64 (fma.f64 (exp.f64 z) (exp.f64 z) -1)))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (exp.f64 z) 3))) (cbrt.f64 (+.f64 -1 (pow.f64 (exp.f64 z) 3)))) (/.f64 (+.f64 (exp.f64 z) (+.f64 1 (pow.f64 (exp.f64 z) 2))) (cbrt.f64 (+.f64 -1 (pow.f64 (exp.f64 z) 3)))))
(/.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (exp.f64 z) 3))) (/.f64 (/.f64 (+.f64 (exp.f64 z) (+.f64 1 (pow.f64 (exp.f64 z) 2))) (cbrt.f64 (+.f64 -1 (pow.f64 (exp.f64 z) 3)))) (cbrt.f64 (+.f64 -1 (pow.f64 (exp.f64 z) 3)))))
(*.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (exp.f64 z) 3))) (/.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (exp.f64 z) 3))) (/.f64 (+.f64 (exp.f64 z) (fma.f64 (exp.f64 z) (exp.f64 z) 1)) (cbrt.f64 (+.f64 -1 (pow.f64 (exp.f64 z) 3))))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (exp.f64 z) 3))) (cbrt.f64 (+.f64 -1 (pow.f64 (exp.f64 z) 3)))) (/.f64 (+.f64 (pow.f64 (exp.f64 z) 2) (-.f64 1 (*.f64 (exp.f64 z) -1))) (cbrt.f64 (+.f64 -1 (pow.f64 (exp.f64 z) 3)))))
(/.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (exp.f64 z) 3))) (/.f64 (/.f64 (+.f64 (exp.f64 z) (+.f64 1 (pow.f64 (exp.f64 z) 2))) (cbrt.f64 (+.f64 -1 (pow.f64 (exp.f64 z) 3)))) (cbrt.f64 (+.f64 -1 (pow.f64 (exp.f64 z) 3)))))
(*.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (exp.f64 z) 3))) (/.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (exp.f64 z) 3))) (/.f64 (+.f64 (exp.f64 z) (fma.f64 (exp.f64 z) (exp.f64 z) 1)) (cbrt.f64 (+.f64 -1 (pow.f64 (exp.f64 z) 3))))))
(/.f64 (+.f64 1 (sqrt.f64 (exp.f64 z))) (/.f64 1 (-.f64 (sqrt.f64 (exp.f64 z)) 1)))
(+.f64 (exp.f64 z) -1)
(/.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 z) 2) -1)) (neg.f64 (+.f64 (exp.f64 z) 1)))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 z) 2)) (+.f64 (exp.f64 z) 1))
(/.f64 (fma.f64 (exp.f64 z) (exp.f64 z) -1) (+.f64 (exp.f64 z) 1))
(/.f64 (neg.f64 (+.f64 -1 (pow.f64 (exp.f64 z) 3))) (neg.f64 (+.f64 (exp.f64 z) (+.f64 1 (pow.f64 (exp.f64 z) 2)))))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 z) 3)) (+.f64 (exp.f64 z) (+.f64 1 (pow.f64 (exp.f64 z) 2))))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 z) 3)) (+.f64 (exp.f64 z) (fma.f64 (exp.f64 z) (exp.f64 z) 1)))
(/.f64 (*.f64 1 (neg.f64 (+.f64 (pow.f64 (exp.f64 z) 2) -1))) (neg.f64 (+.f64 (exp.f64 z) 1)))
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(/.f64 (/.f64 (*.f64 y (+.f64 (pow.f64 (exp.f64 z) 2) -1)) 1) (+.f64 (exp.f64 z) 1))
(*.f64 (/.f64 (+.f64 -1 (pow.f64 (exp.f64 z) 2)) (+.f64 (exp.f64 z) 1)) y)
(*.f64 y (/.f64 (fma.f64 (exp.f64 z) (exp.f64 z) -1) (+.f64 (exp.f64 z) 1)))
(/.f64 (/.f64 (*.f64 y (+.f64 (pow.f64 (exp.f64 z) 2) -1)) (sqrt.f64 (+.f64 (exp.f64 z) 1))) (sqrt.f64 (+.f64 (exp.f64 z) 1)))
(*.f64 (/.f64 (+.f64 -1 (pow.f64 (exp.f64 z) 2)) (+.f64 (exp.f64 z) 1)) y)
(*.f64 y (/.f64 (fma.f64 (exp.f64 z) (exp.f64 z) -1) (+.f64 (exp.f64 z) 1)))
(/.f64 (/.f64 (*.f64 y (+.f64 (pow.f64 (exp.f64 z) 2) -1)) (*.f64 (cbrt.f64 (+.f64 (exp.f64 z) 1)) (cbrt.f64 (+.f64 (exp.f64 z) 1)))) (cbrt.f64 (+.f64 (exp.f64 z) 1)))
(*.f64 (/.f64 (+.f64 -1 (pow.f64 (exp.f64 z) 2)) (+.f64 (exp.f64 z) 1)) y)
(*.f64 y (/.f64 (fma.f64 (exp.f64 z) (exp.f64 z) -1) (+.f64 (exp.f64 z) 1)))
(/.f64 (/.f64 (*.f64 y (+.f64 -1 (pow.f64 (exp.f64 z) 3))) 1) (+.f64 (exp.f64 z) (+.f64 1 (pow.f64 (exp.f64 z) 2))))
(*.f64 (/.f64 (+.f64 -1 (pow.f64 (exp.f64 z) 3)) (+.f64 (exp.f64 z) (+.f64 1 (pow.f64 (exp.f64 z) 2)))) y)
(*.f64 y (/.f64 (+.f64 -1 (pow.f64 (exp.f64 z) 3)) (+.f64 (exp.f64 z) (fma.f64 (exp.f64 z) (exp.f64 z) 1))))
(/.f64 (/.f64 (*.f64 y (+.f64 -1 (pow.f64 (exp.f64 z) 3))) (sqrt.f64 (+.f64 (exp.f64 z) (+.f64 1 (pow.f64 (exp.f64 z) 2))))) (sqrt.f64 (+.f64 (exp.f64 z) (+.f64 1 (pow.f64 (exp.f64 z) 2)))))
(*.f64 (/.f64 (+.f64 -1 (pow.f64 (exp.f64 z) 3)) (+.f64 (exp.f64 z) (+.f64 1 (pow.f64 (exp.f64 z) 2)))) y)
(*.f64 y (/.f64 (+.f64 -1 (pow.f64 (exp.f64 z) 3)) (+.f64 (exp.f64 z) (fma.f64 (exp.f64 z) (exp.f64 z) 1))))
(/.f64 (/.f64 (*.f64 y (+.f64 -1 (pow.f64 (exp.f64 z) 3))) (*.f64 (cbrt.f64 (+.f64 (exp.f64 z) (+.f64 1 (pow.f64 (exp.f64 z) 2)))) (cbrt.f64 (+.f64 (exp.f64 z) (+.f64 1 (pow.f64 (exp.f64 z) 2)))))) (cbrt.f64 (+.f64 (exp.f64 z) (+.f64 1 (pow.f64 (exp.f64 z) 2)))))
(*.f64 (/.f64 (+.f64 -1 (pow.f64 (exp.f64 z) 3)) (+.f64 (exp.f64 z) (+.f64 1 (pow.f64 (exp.f64 z) 2)))) y)
(*.f64 y (/.f64 (+.f64 -1 (pow.f64 (exp.f64 z) 3)) (+.f64 (exp.f64 z) (fma.f64 (exp.f64 z) (exp.f64 z) 1))))
(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 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))
(log1p.f64 (expm1.f64 (*.f64 (expm1.f64 z) y)))
(*.f64 y (expm1.f64 z))

localize13.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.1b
(/.f64 (+.f64 (log.f64 (expm1.f64 z)) (log.f64 y)) t)
0.1b
(+.f64 (log.f64 (expm1.f64 z)) (log.f64 y))
0.5b
(log.f64 (expm1.f64 z))
Compiler

Compiled 39 to 10 computations (74.4% saved)

series193.0ms (1.3%)

Counts
3 → 72
Calls

18 calls:

TimeVariablePointExpression
107.0ms
y
@0
(+.f64 (log.f64 (expm1.f64 z)) (log.f64 y))
16.0ms
t
@0
(/.f64 (+.f64 (log.f64 (expm1.f64 z)) (log.f64 y)) t)
14.0ms
z
@inf
(+.f64 (log.f64 (expm1.f64 z)) (log.f64 y))
14.0ms
z
@-inf
(log.f64 (expm1.f64 z))
12.0ms
z
@inf
(log.f64 (expm1.f64 z))

rewrite122.0ms (0.8%)

Algorithm
batch-egg-rewrite
Rules
1070×*-commutative
1044×associate-*r/
810×associate-/r*
794×associate-*l/
620×associate-/l*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01145
122345
2296045
Stop Event
node limit
Counts
3 → 165
Calls
Call 1
Inputs
(log.f64 (expm1.f64 z))
(+.f64 (log.f64 (expm1.f64 z)) (log.f64 y))
(/.f64 (+.f64 (log.f64 (expm1.f64 z)) (log.f64 y)) t)
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (log.f64 (expm1.f64 z)))) (-.f64 1 (log.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (log.f64 (*.f64 (expm1.f64 z) y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (log.f64 y))) (-.f64 1 (log.f64 (expm1.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (log.f64 (expm1.f64 z)) 2) (log.f64 (/.f64 (expm1.f64 z) y))) (/.f64 (pow.f64 (log.f64 y) 2) (log.f64 (/.f64 (expm1.f64 z) y))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (log.f64 (expm1.f64 z)) (exp.f64 (log1p.f64 (log.f64 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (log.f64 y) (exp.f64 (log1p.f64 (log.f64 (expm1.f64 z))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (*.f64 (expm1.f64 z) y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log.f64 (*.f64 (expm1.f64 z) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 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y))) 2))) (cbrt.f64 (log.f64 (*.f64 (expm1.f64 z) y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (-.f64 (pow.f64 (log.f64 (expm1.f64 z)) 2) (pow.f64 (log.f64 y) 2)) t) (-.f64 (pow.f64 (log.f64 (expm1.f64 z)) 2) (pow.f64 (log.f64 y) 2))) (log.f64 (*.f64 (expm1.f64 z) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (-.f64 (pow.f64 (log.f64 (expm1.f64 z)) 2) (pow.f64 (log.f64 y) 2)) t) (-.f64 (pow.f64 (log.f64 (expm1.f64 z)) 3) (pow.f64 (log.f64 y) 3))) (+.f64 (pow.f64 (log.f64 (expm1.f64 z)) 2) (*.f64 (log.f64 y) (log.f64 (*.f64 (expm1.f64 z) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (+.f64 (pow.f64 (log.f64 (expm1.f64 z)) 3) (pow.f64 (log.f64 y) 3)) t) (-.f64 (*.f64 (pow.f64 (log.f64 (expm1.f64 z)) 2) (pow.f64 (log.f64 (expm1.f64 z)) 2)) (*.f64 (*.f64 (log.f64 y) (-.f64 (log.f64 y) (log.f64 (expm1.f64 z)))) (*.f64 (log.f64 y) (-.f64 (log.f64 y) (log.f64 (expm1.f64 z))))))) (-.f64 (pow.f64 (log.f64 (expm1.f64 z)) 2) 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(#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (log.f64 (*.f64 (expm1.f64 z) y)) t) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 t (log.f64 (*.f64 (expm1.f64 z) y))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (log.f64 (*.f64 (expm1.f64 z) y)) (neg.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (log.f64 (*.f64 (expm1.f64 z) y)) t) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (*.f64 (expm1.f64 z) y) (/.f64 1 t)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (log.f64 (*.f64 (expm1.f64 z) y)) t))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (log.f64 (*.f64 (expm1.f64 z) y)) t) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (log.f64 (*.f64 (expm1.f64 z) y)) t)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (log.f64 (*.f64 (expm1.f64 z) y)) t)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (log.f64 (*.f64 (expm1.f64 z) y)) t)))))))

simplify127.0ms (0.8%)

Algorithm
egg-herbie
Rules
1206×associate-+r+
864×associate-+l+
836×+-commutative
644×associate-*r*
540×associate-*l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
04388641
111198285
256788285
Stop Event
node limit
Counts
237 → 270
Calls
Call 1
Inputs
(log.f64 z)
(+.f64 (log.f64 z) (*.f64 1/2 z))
(+.f64 (*.f64 1/24 (pow.f64 z 2)) (+.f64 (log.f64 z) (*.f64 1/2 z)))
(+.f64 (*.f64 1/24 (pow.f64 z 2)) (+.f64 (log.f64 z) (+.f64 (*.f64 -1/2880 (pow.f64 z 4)) (*.f64 1/2 z))))
(log.f64 (-.f64 (exp.f64 z) 1))
(log.f64 (-.f64 (exp.f64 z) 1))
(log.f64 (-.f64 (exp.f64 z) 1))
(log.f64 (-.f64 (exp.f64 z) 1))
(log.f64 (-.f64 (exp.f64 z) 1))
(log.f64 (-.f64 (exp.f64 z) 1))
(log.f64 (-.f64 (exp.f64 z) 1))
(log.f64 (-.f64 (exp.f64 z) 1))
(+.f64 (log.f64 z) (log.f64 y))
(+.f64 (log.f64 z) (+.f64 (*.f64 1/2 z) (log.f64 y)))
(+.f64 (*.f64 1/24 (pow.f64 z 2)) (+.f64 (log.f64 z) (+.f64 (*.f64 1/2 z) (log.f64 y))))
(+.f64 (*.f64 1/24 (pow.f64 z 2)) (+.f64 (log.f64 z) (+.f64 (*.f64 -1/2880 (pow.f64 z 4)) (+.f64 (*.f64 1/2 z) (log.f64 y)))))
(+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (log.f64 y))
(+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (log.f64 y))
(+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (log.f64 y))
(+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (log.f64 y))
(+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (log.f64 y))
(+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (log.f64 y))
(+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (log.f64 y))
(+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (log.f64 y))
(+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (log.f64 y))
(+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (log.f64 y))
(+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (log.f64 y))
(+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (log.f64 y))
(+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y))))
(+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y))))
(+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y))))
(+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (log.f64 -1)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (log.f64 -1)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (log.f64 -1)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (log.f64 -1)))
(/.f64 (+.f64 (log.f64 z) (log.f64 y)) t)
(+.f64 (/.f64 (log.f64 y) t) (+.f64 (/.f64 (log.f64 z) t) (*.f64 1/2 (/.f64 z t))))
(+.f64 (/.f64 (log.f64 y) t) (+.f64 (/.f64 (log.f64 z) t) (+.f64 (*.f64 1/24 (/.f64 (pow.f64 z 2) t)) (*.f64 1/2 (/.f64 z t)))))
(+.f64 (/.f64 (log.f64 y) t) (+.f64 (/.f64 (log.f64 z) t) (+.f64 (*.f64 -1/2880 (/.f64 (pow.f64 z 4) t)) (+.f64 (*.f64 1/24 (/.f64 (pow.f64 z 2) t)) (*.f64 1/2 (/.f64 z t))))))
(/.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (log.f64 y)) t)
(/.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (log.f64 y)) t)
(/.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (log.f64 y)) t)
(/.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (log.f64 y)) t)
(/.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (log.f64 y)) t)
(/.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (log.f64 y)) t)
(/.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (log.f64 y)) t)
(/.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (log.f64 y)) t)
(/.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (log.f64 y)) t)
(/.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (log.f64 y)) t)
(/.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (log.f64 y)) t)
(/.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (log.f64 y)) 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)) (*.f64 -1 (log.f64 (/.f64 1 y)))) 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)) (*.f64 -1 (log.f64 (/.f64 1 y)))) t)
(/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (log.f64 -1))) t)
(/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (log.f64 -1))) t)
(/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (log.f64 -1))) t)
(/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (log.f64 -1))) t)
(/.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (log.f64 y)) t)
(/.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (log.f64 y)) t)
(/.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (log.f64 y)) t)
(/.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (log.f64 y)) t)
(/.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (log.f64 y)) t)
(/.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (log.f64 y)) t)
(/.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (log.f64 y)) t)
(/.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (log.f64 y)) t)
(/.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (log.f64 y)) t)
(/.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (log.f64 y)) t)
(/.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (log.f64 y)) t)
(/.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (log.f64 y)) t)
(+.f64 (log.f64 (expm1.f64 z)) 0)
(+.f64 (log.f64 (sqrt.f64 (expm1.f64 z))) (log.f64 (sqrt.f64 (expm1.f64 z))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (expm1.f64 z)) 2)) (log.f64 (cbrt.f64 (expm1.f64 z))))
(+.f64 0 (log.f64 (expm1.f64 z)))
(+.f64 (log.f64 (cbrt.f64 (expm1.f64 z))) (log.f64 (pow.f64 (cbrt.f64 (expm1.f64 z)) 2)))
(+.f64 (+.f64 0 (log.f64 (sqrt.f64 (expm1.f64 z)))) (log.f64 (sqrt.f64 (expm1.f64 z))))
(+.f64 (+.f64 0 (log.f64 (pow.f64 (cbrt.f64 (expm1.f64 z)) 2))) (log.f64 (cbrt.f64 (expm1.f64 z))))
(+.f64 (*.f64 1 (log.f64 (sqrt.f64 (expm1.f64 z)))) (*.f64 1 (log.f64 (sqrt.f64 (expm1.f64 z)))))
(+.f64 (*.f64 1 (log.f64 (pow.f64 (cbrt.f64 (expm1.f64 z)) 2))) (*.f64 1 (log.f64 (cbrt.f64 (expm1.f64 z)))))
(+.f64 (*.f64 (log.f64 (sqrt.f64 (expm1.f64 z))) 1) (*.f64 (log.f64 (sqrt.f64 (expm1.f64 z))) 1))
(+.f64 (*.f64 (log.f64 (pow.f64 (cbrt.f64 (expm1.f64 z)) 2)) 1) (*.f64 (log.f64 (cbrt.f64 (expm1.f64 z))) 1))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (expm1.f64 z)))) 1)
(-.f64 (+.f64 0 (exp.f64 (log1p.f64 (log.f64 (expm1.f64 z))))) 1)
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(/.f64 (/.f64 (+.f64 (pow.f64 (log.f64 (expm1.f64 z)) 3) (pow.f64 (log.f64 y) 3)) (sqrt.f64 (+.f64 (pow.f64 (log.f64 (expm1.f64 z)) 2) (*.f64 (log.f64 y) (-.f64 (log.f64 y) (log.f64 (expm1.f64 z))))))) (sqrt.f64 (+.f64 (pow.f64 (log.f64 (expm1.f64 z)) 2) (*.f64 (log.f64 y) (-.f64 (log.f64 y) (log.f64 (expm1.f64 z)))))))
(/.f64 (/.f64 (+.f64 (pow.f64 (log.f64 (expm1.f64 z)) 3) (pow.f64 (log.f64 y) 3)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (log.f64 (expm1.f64 z)) 2) (*.f64 (log.f64 y) (-.f64 (log.f64 y) (log.f64 (expm1.f64 z)))))) (cbrt.f64 (+.f64 (pow.f64 (log.f64 (expm1.f64 z)) 2) (*.f64 (log.f64 y) (-.f64 (log.f64 y) (log.f64 (expm1.f64 z)))))))) (cbrt.f64 (+.f64 (pow.f64 (log.f64 (expm1.f64 z)) 2) (*.f64 (log.f64 y) (-.f64 (log.f64 y) (log.f64 (expm1.f64 z)))))))
(pow.f64 (log.f64 (*.f64 (expm1.f64 z) y)) 1)
(pow.f64 (sqrt.f64 (log.f64 (*.f64 (expm1.f64 z) y))) 2)
(pow.f64 (cbrt.f64 (log.f64 (*.f64 (expm1.f64 z) y))) 3)
(pow.f64 (pow.f64 (log.f64 (*.f64 (expm1.f64 z) y)) 3) 1/3)
(sqrt.f64 (pow.f64 (log.f64 (*.f64 (expm1.f64 z) y)) 2))
(log.f64 (*.f64 (expm1.f64 z) y))
(log.f64 (+.f64 1 (-.f64 (*.f64 (expm1.f64 z) y) 1)))
(cbrt.f64 (pow.f64 (log.f64 (*.f64 (expm1.f64 z) y)) 3))
(expm1.f64 (log1p.f64 (log.f64 (*.f64 (expm1.f64 z) y))))
(exp.f64 (log.f64 (log.f64 (*.f64 (expm1.f64 z) y))))
(log1p.f64 (-.f64 (*.f64 (expm1.f64 z) y) 1))
(fma.f64 1 (log.f64 (expm1.f64 z)) (log.f64 y))
(fma.f64 1 (log.f64 y) (log.f64 (expm1.f64 z)))
(fma.f64 (sqrt.f64 (log.f64 y)) (sqrt.f64 (log.f64 y)) (log.f64 (expm1.f64 z)))
(fma.f64 (sqrt.f64 (log.f64 (expm1.f64 z))) (sqrt.f64 (log.f64 (expm1.f64 z))) (log.f64 y))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 y)) 2) (cbrt.f64 (log.f64 y)) (log.f64 (expm1.f64 z)))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 (expm1.f64 z))) 2) (cbrt.f64 (log.f64 (expm1.f64 z))) (log.f64 y))
(+.f64 (*.f64 (/.f64 1 t) (log.f64 (expm1.f64 z))) (*.f64 (/.f64 1 t) (log.f64 y)))
(+.f64 (*.f64 (/.f64 1 t) (log.f64 y)) (*.f64 (/.f64 1 t) (log.f64 (expm1.f64 z))))
(+.f64 (*.f64 (log.f64 (expm1.f64 z)) (/.f64 1 t)) (*.f64 (log.f64 y) (/.f64 1 t)))
(+.f64 (*.f64 (log.f64 y) (/.f64 1 t)) (*.f64 (log.f64 (expm1.f64 z)) (/.f64 1 t)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 (*.f64 (expm1.f64 z) y)) t))) 1)
(*.f64 (log.f64 (*.f64 (expm1.f64 z) y)) (/.f64 1 t))
(*.f64 (/.f64 (log.f64 (*.f64 (expm1.f64 z) y)) t) 1)
(*.f64 1 (/.f64 (log.f64 (*.f64 (expm1.f64 z) y)) t))
(*.f64 (sqrt.f64 (/.f64 (log.f64 (*.f64 (expm1.f64 z) y)) t)) (sqrt.f64 (/.f64 (log.f64 (*.f64 (expm1.f64 z) y)) t)))
(*.f64 (sqrt.f64 (log.f64 (*.f64 (expm1.f64 z) y))) (/.f64 (sqrt.f64 (log.f64 (*.f64 (expm1.f64 z) y))) t))
(*.f64 (cbrt.f64 (/.f64 (log.f64 (*.f64 (expm1.f64 z) y)) t)) (pow.f64 (cbrt.f64 (/.f64 (log.f64 (*.f64 (expm1.f64 z) y)) t)) 2))
(*.f64 (cbrt.f64 (/.f64 (log.f64 (*.f64 (expm1.f64 z) y)) t)) (/.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (expm1.f64 z) y))) 2) (pow.f64 (cbrt.f64 t) 2)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 (*.f64 (expm1.f64 z) y)) t)) 2) (cbrt.f64 (/.f64 (log.f64 (*.f64 (expm1.f64 z) y)) t)))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (expm1.f64 z) y))) 2) (/.f64 (cbrt.f64 (log.f64 (*.f64 (expm1.f64 z) y))) t))
(*.f64 (/.f64 1 t) (log.f64 (*.f64 (expm1.f64 z) y)))
(*.f64 (neg.f64 (log.f64 (*.f64 (expm1.f64 z) y))) (/.f64 -1 t))
(*.f64 (/.f64 (sqrt.f64 (log.f64 (*.f64 (expm1.f64 z) y))) t) (sqrt.f64 (log.f64 (*.f64 (expm1.f64 z) y))))
(*.f64 (/.f64 (sqrt.f64 (log.f64 (*.f64 (expm1.f64 z) y))) t) (/.f64 (sqrt.f64 (log.f64 (*.f64 (expm1.f64 z) y))) 1))
(*.f64 (/.f64 (cbrt.f64 (log.f64 (*.f64 (expm1.f64 z) y))) t) (pow.f64 (cbrt.f64 (log.f64 (*.f64 (expm1.f64 z) y))) 2))
(*.f64 (/.f64 (cbrt.f64 (log.f64 (*.f64 (expm1.f64 z) y))) t) (/.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (expm1.f64 z) y))) 2) 1))
(*.f64 (/.f64 1 (sqrt.f64 t)) (/.f64 (log.f64 (*.f64 (expm1.f64 z) y)) (sqrt.f64 t)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 t) 2)) (/.f64 (log.f64 (*.f64 (expm1.f64 z) y)) (cbrt.f64 t)))
(*.f64 (/.f64 (log.f64 (*.f64 (expm1.f64 z) y)) (sqrt.f64 t)) (/.f64 1 (sqrt.f64 t)))
(*.f64 (/.f64 (log.f64 (*.f64 (expm1.f64 z) y)) (cbrt.f64 t)) (/.f64 1 (pow.f64 (cbrt.f64 t) 2)))
(*.f64 (/.f64 -1 t) (neg.f64 (log.f64 (*.f64 (expm1.f64 z) y))))
(*.f64 (/.f64 (sqrt.f64 (log.f64 (*.f64 (expm1.f64 z) y))) 1) (/.f64 (sqrt.f64 (log.f64 (*.f64 (expm1.f64 z) y))) t))
(*.f64 (/.f64 (sqrt.f64 (log.f64 (*.f64 (expm1.f64 z) y))) (pow.f64 (cbrt.f64 t) 2)) (/.f64 (sqrt.f64 (log.f64 (*.f64 (expm1.f64 z) y))) (cbrt.f64 t)))
(*.f64 (/.f64 (sqrt.f64 (log.f64 (*.f64 (expm1.f64 z) y))) (cbrt.f64 t)) (/.f64 (sqrt.f64 (log.f64 (*.f64 (expm1.f64 z) y))) (pow.f64 (cbrt.f64 t) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (expm1.f64 z) y))) 2) 1) (/.f64 (cbrt.f64 (log.f64 (*.f64 (expm1.f64 z) y))) t))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (expm1.f64 z) y))) 2) (sqrt.f64 t)) (/.f64 (cbrt.f64 (log.f64 (*.f64 (expm1.f64 z) y))) (sqrt.f64 t)))
(*.f64 (/.f64 (cbrt.f64 (log.f64 (*.f64 (expm1.f64 z) y))) (sqrt.f64 t)) (/.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (expm1.f64 z) y))) 2) (sqrt.f64 t)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (expm1.f64 z) y))) 2) (pow.f64 (cbrt.f64 t) 2)) (cbrt.f64 (/.f64 (log.f64 (*.f64 (expm1.f64 z) y)) t)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (expm1.f64 z) y))) 2) t) (cbrt.f64 (log.f64 (*.f64 (expm1.f64 z) y))))
(*.f64 (/.f64 1 (/.f64 t (pow.f64 (cbrt.f64 (log.f64 (*.f64 (expm1.f64 z) y))) 2))) (cbrt.f64 (log.f64 (*.f64 (expm1.f64 z) y))))
(*.f64 (/.f64 (/.f64 (-.f64 (pow.f64 (log.f64 (expm1.f64 z)) 2) (pow.f64 (log.f64 y) 2)) t) (-.f64 (pow.f64 (log.f64 (expm1.f64 z)) 2) (pow.f64 (log.f64 y) 2))) (log.f64 (*.f64 (expm1.f64 z) y)))
(*.f64 (/.f64 (/.f64 (-.f64 (pow.f64 (log.f64 (expm1.f64 z)) 2) (pow.f64 (log.f64 y) 2)) t) (-.f64 (pow.f64 (log.f64 (expm1.f64 z)) 3) (pow.f64 (log.f64 y) 3))) (+.f64 (pow.f64 (log.f64 (expm1.f64 z)) 2) (*.f64 (log.f64 y) (log.f64 (*.f64 (expm1.f64 z) y)))))
(*.f64 (/.f64 (/.f64 (+.f64 (pow.f64 (log.f64 (expm1.f64 z)) 3) (pow.f64 (log.f64 y) 3)) t) (-.f64 (*.f64 (pow.f64 (log.f64 (expm1.f64 z)) 2) (pow.f64 (log.f64 (expm1.f64 z)) 2)) (*.f64 (*.f64 (log.f64 y) (-.f64 (log.f64 y) (log.f64 (expm1.f64 z)))) (*.f64 (log.f64 y) (-.f64 (log.f64 y) (log.f64 (expm1.f64 z))))))) (-.f64 (pow.f64 (log.f64 (expm1.f64 z)) 2) (*.f64 (log.f64 y) (-.f64 (log.f64 y) (log.f64 (expm1.f64 z))))))
(*.f64 (/.f64 (/.f64 (+.f64 (pow.f64 (log.f64 (expm1.f64 z)) 3) (pow.f64 (log.f64 y) 3)) t) (+.f64 (pow.f64 (pow.f64 (log.f64 (expm1.f64 z)) 2) 3) (pow.f64 (*.f64 (log.f64 y) (-.f64 (log.f64 y) (log.f64 (expm1.f64 z)))) 3))) (+.f64 (*.f64 (pow.f64 (log.f64 (expm1.f64 z)) 2) (pow.f64 (log.f64 (expm1.f64 z)) 2)) (-.f64 (*.f64 (*.f64 (log.f64 y) (-.f64 (log.f64 y) (log.f64 (expm1.f64 z)))) (*.f64 (log.f64 y) (-.f64 (log.f64 y) (log.f64 (expm1.f64 z))))) (*.f64 (pow.f64 (log.f64 (expm1.f64 z)) 2) (*.f64 (log.f64 y) (-.f64 (log.f64 y) (log.f64 (expm1.f64 z))))))))
(pow.f64 (/.f64 (log.f64 (*.f64 (expm1.f64 z) y)) t) 1)
(pow.f64 (sqrt.f64 (/.f64 (log.f64 (*.f64 (expm1.f64 z) y)) t)) 2)
(pow.f64 (cbrt.f64 (/.f64 (log.f64 (*.f64 (expm1.f64 z) y)) t)) 3)
(pow.f64 (pow.f64 (/.f64 (log.f64 (*.f64 (expm1.f64 z) y)) t) 3) 1/3)
(pow.f64 (/.f64 t (log.f64 (*.f64 (expm1.f64 z) y))) -1)
(neg.f64 (/.f64 (log.f64 (*.f64 (expm1.f64 z) y)) (neg.f64 t)))
(sqrt.f64 (pow.f64 (/.f64 (log.f64 (*.f64 (expm1.f64 z) y)) t) 2))
(log.f64 (pow.f64 (*.f64 (expm1.f64 z) y) (/.f64 1 t)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (log.f64 (*.f64 (expm1.f64 z) y)) t))))
(cbrt.f64 (pow.f64 (/.f64 (log.f64 (*.f64 (expm1.f64 z) y)) t) 3))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 (*.f64 (expm1.f64 z) y)) t)))
(exp.f64 (log.f64 (/.f64 (log.f64 (*.f64 (expm1.f64 z) y)) t)))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 (*.f64 (expm1.f64 z) y)) t)))
Outputs
(log.f64 z)
(+.f64 (log.f64 z) (*.f64 1/2 z))
(+.f64 (log.f64 z) (*.f64 z 1/2))
(fma.f64 z 1/2 (log.f64 z))
(+.f64 (*.f64 1/24 (pow.f64 z 2)) (+.f64 (log.f64 z) (*.f64 1/2 z)))
(fma.f64 1/24 (*.f64 z z) (+.f64 (log.f64 z) (*.f64 z 1/2)))
(fma.f64 1/24 (*.f64 z z) (fma.f64 z 1/2 (log.f64 z)))
(+.f64 (*.f64 1/24 (pow.f64 z 2)) (+.f64 (log.f64 z) (+.f64 (*.f64 -1/2880 (pow.f64 z 4)) (*.f64 1/2 z))))
(fma.f64 1/24 (*.f64 z z) (+.f64 (log.f64 z) (fma.f64 -1/2880 (pow.f64 z 4) (*.f64 z 1/2))))
(+.f64 (fma.f64 1/24 (*.f64 z z) (fma.f64 z 1/2 (log.f64 z))) (*.f64 -1/2880 (pow.f64 z 4)))
(log.f64 (-.f64 (exp.f64 z) 1))
(log.f64 (expm1.f64 z))
(log.f64 (-.f64 (exp.f64 z) 1))
(log.f64 (expm1.f64 z))
(log.f64 (-.f64 (exp.f64 z) 1))
(log.f64 (expm1.f64 z))
(log.f64 (-.f64 (exp.f64 z) 1))
(log.f64 (expm1.f64 z))
(log.f64 (-.f64 (exp.f64 z) 1))
(log.f64 (expm1.f64 z))
(log.f64 (-.f64 (exp.f64 z) 1))
(log.f64 (expm1.f64 z))
(log.f64 (-.f64 (exp.f64 z) 1))
(log.f64 (expm1.f64 z))
(log.f64 (-.f64 (exp.f64 z) 1))
(log.f64 (expm1.f64 z))
(+.f64 (log.f64 z) (log.f64 y))
(+.f64 (log.f64 z) (+.f64 (*.f64 1/2 z) (log.f64 y)))
(+.f64 (log.f64 z) (fma.f64 1/2 z (log.f64 y)))
(+.f64 (log.f64 z) (fma.f64 z 1/2 (log.f64 y)))
(+.f64 (*.f64 1/24 (pow.f64 z 2)) (+.f64 (log.f64 z) (+.f64 (*.f64 1/2 z) (log.f64 y))))
(fma.f64 1/24 (*.f64 z z) (+.f64 (log.f64 z) (fma.f64 1/2 z (log.f64 y))))
(+.f64 (fma.f64 1/24 (*.f64 z z) (fma.f64 z 1/2 (log.f64 z))) (log.f64 y))
(+.f64 (*.f64 1/24 (pow.f64 z 2)) (+.f64 (log.f64 z) (+.f64 (*.f64 -1/2880 (pow.f64 z 4)) (+.f64 (*.f64 1/2 z) (log.f64 y)))))
(fma.f64 1/24 (*.f64 z z) (+.f64 (log.f64 z) (fma.f64 -1/2880 (pow.f64 z 4) (fma.f64 1/2 z (log.f64 y)))))
(+.f64 (fma.f64 -1/2880 (pow.f64 z 4) (fma.f64 z 1/2 (log.f64 y))) (fma.f64 1/24 (*.f64 z z) (log.f64 z)))
(+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (log.f64 y))
(log.f64 (*.f64 y (expm1.f64 z)))
(+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (log.f64 y))
(log.f64 (*.f64 y (expm1.f64 z)))
(+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (log.f64 y))
(log.f64 (*.f64 y (expm1.f64 z)))
(+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (log.f64 y))
(log.f64 (*.f64 y (expm1.f64 z)))
(+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (log.f64 y))
(log.f64 (*.f64 y (expm1.f64 z)))
(+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (log.f64 y))
(log.f64 (*.f64 y (expm1.f64 z)))
(+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (log.f64 y))
(log.f64 (*.f64 y (expm1.f64 z)))
(+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (log.f64 y))
(log.f64 (*.f64 y (expm1.f64 z)))
(+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (log.f64 y))
(log.f64 (*.f64 y (expm1.f64 z)))
(+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (log.f64 y))
(log.f64 (*.f64 y (expm1.f64 z)))
(+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (log.f64 y))
(log.f64 (*.f64 y (expm1.f64 z)))
(+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (log.f64 y))
(log.f64 (*.f64 y (expm1.f64 z)))
(+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y))))
(log.f64 (*.f64 y (expm1.f64 z)))
(+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y))))
(log.f64 (*.f64 y (expm1.f64 z)))
(+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y))))
(log.f64 (*.f64 y (expm1.f64 z)))
(+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y))))
(log.f64 (*.f64 y (expm1.f64 z)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (log.f64 -1)))
(fma.f64 -1 (log.f64 (/.f64 -1 y)) (+.f64 (log.f64 -1) (log.f64 (expm1.f64 z))))
(-.f64 (+.f64 (log.f64 -1) (log.f64 (expm1.f64 z))) (log.f64 (/.f64 -1 y)))
(+.f64 (log.f64 -1) (-.f64 (log.f64 (expm1.f64 z)) (log.f64 (/.f64 -1 y))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (log.f64 -1)))
(fma.f64 -1 (log.f64 (/.f64 -1 y)) (+.f64 (log.f64 -1) (log.f64 (expm1.f64 z))))
(-.f64 (+.f64 (log.f64 -1) (log.f64 (expm1.f64 z))) (log.f64 (/.f64 -1 y)))
(+.f64 (log.f64 -1) (-.f64 (log.f64 (expm1.f64 z)) (log.f64 (/.f64 -1 y))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (log.f64 -1)))
(fma.f64 -1 (log.f64 (/.f64 -1 y)) (+.f64 (log.f64 -1) (log.f64 (expm1.f64 z))))
(-.f64 (+.f64 (log.f64 -1) (log.f64 (expm1.f64 z))) (log.f64 (/.f64 -1 y)))
(+.f64 (log.f64 -1) (-.f64 (log.f64 (expm1.f64 z)) (log.f64 (/.f64 -1 y))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (log.f64 -1)))
(fma.f64 -1 (log.f64 (/.f64 -1 y)) (+.f64 (log.f64 -1) (log.f64 (expm1.f64 z))))
(-.f64 (+.f64 (log.f64 -1) (log.f64 (expm1.f64 z))) (log.f64 (/.f64 -1 y)))
(+.f64 (log.f64 -1) (-.f64 (log.f64 (expm1.f64 z)) (log.f64 (/.f64 -1 y))))
(/.f64 (+.f64 (log.f64 z) (log.f64 y)) t)
(+.f64 (/.f64 (log.f64 y) t) (+.f64 (/.f64 (log.f64 z) t) (*.f64 1/2 (/.f64 z t))))
(+.f64 (+.f64 (/.f64 (log.f64 y) t) (/.f64 (log.f64 z) t)) (*.f64 1/2 (/.f64 z t)))
(+.f64 (/.f64 (log.f64 y) t) (fma.f64 1/2 (/.f64 z t) (/.f64 (log.f64 z) t)))
(+.f64 (/.f64 (log.f64 y) t) (+.f64 (/.f64 (log.f64 z) t) (+.f64 (*.f64 1/24 (/.f64 (pow.f64 z 2) t)) (*.f64 1/2 (/.f64 z t)))))
(+.f64 (+.f64 (/.f64 (log.f64 y) t) (/.f64 (log.f64 z) t)) (fma.f64 1/24 (/.f64 (*.f64 z z) t) (*.f64 1/2 (/.f64 z t))))
(+.f64 (/.f64 (log.f64 z) t) (+.f64 (fma.f64 1/2 (/.f64 z t) (/.f64 (*.f64 z z) (/.f64 t 1/24))) (/.f64 (log.f64 y) t)))
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(/.f64 (log.f64 (*.f64 y (expm1.f64 z))) t)
(exp.f64 (log.f64 (/.f64 (log.f64 (*.f64 (expm1.f64 z) y)) t)))
(/.f64 (log.f64 (*.f64 y (expm1.f64 z))) t)
(log1p.f64 (expm1.f64 (/.f64 (log.f64 (*.f64 (expm1.f64 z) y)) t)))
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eval772.0ms (5%)

Compiler

Compiled 33469 to 16222 computations (51.5% saved)

prune400.0ms (2.6%)

Pruning

25 alts after pruning (18 fresh and 7 done)

PrunedKeptTotal
New1293101303
Fresh4812
Picked101
Done4711
Total1302251327
Error
0.2b
Counts
1327 → 25
Alt Table
Click to see full alt table
StatusErrorProgram
26.1b
(-.f64 x (pow.f64 (sqrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 2))
1.7b
(-.f64 x (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 3))
11.9b
(-.f64 x (/.f64 (/.f64 (expm1.f64 z) (/.f64 1 y)) t))
18.7b
(-.f64 x (/.f64 (/.f64 z (/.f64 1 y)) t))
20.1b
(-.f64 x (/.f64 (/.f64 y t) (/.f64 1 z)))
19.0b
(-.f64 x (/.f64 (/.f64 1 t) (/.f64 1 (*.f64 z y))))
9.5b
(-.f64 x (/.f64 (/.f64 1 t) (+.f64 1/2 (/.f64 1 (*.f64 (expm1.f64 z) y)))))
54.4b
(-.f64 x (/.f64 (+.f64 (+.f64 (log.f64 z) (*.f64 z 1/2)) (log.f64 y)) t))
18.3b
(-.f64 x (/.f64 (+.f64 (*.f64 (/.f64 z t) y) 2) (/.f64 (+.f64 (*.f64 (/.f64 z t) y) 2) (*.f64 (/.f64 z t) y))))
54.4b
(-.f64 x (/.f64 (+.f64 (log.f64 z) (log.f64 y)) t))
11.9b
(-.f64 x (/.f64 (*.f64 (expm1.f64 z) y) t))
21.8b
(-.f64 x (/.f64 (*.f64 z (+.f64 (*.f64 z (*.f64 y 1/2)) y)) t))
18.7b
(-.f64 x (/.f64 (*.f64 z y) t))
1.3b
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))
20.0b
(-.f64 x (/.f64 (exp.f64 (log.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) t))
5.8b
(-.f64 x (/.f64 (cbrt.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 3)) t))
18.1b
(-.f64 x (/.f64 y (/.f64 t z)))
1.3b
(-.f64 x (/.f64 1 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z))))))
9.3b
(-.f64 x (/.f64 1 (+.f64 (/.f64 t (*.f64 (expm1.f64 z) y)) (*.f64 t 1/2))))
20.2b
(-.f64 x (-.f64 (-.f64 (+.f64 (*.f64 (/.f64 z t) y) 2) 1) 1))
20.3b
(-.f64 x (-.f64 1 1))
22.0b
(-.f64 x (+.f64 (/.f64 y (/.f64 t z)) (/.f64 (*.f64 (*.f64 1/2 y) (*.f64 z z)) t)))
18.3b
(-.f64 x (*.f64 (/.f64 z t) y))
19.0b
(-.f64 x (*.f64 (/.f64 1 t) (/.f64 y (/.f64 1 z))))
20.3b
(-.f64 x (*.f64 (cbrt.f64 (pow.f64 (/.f64 (expm1.f64 z) t) 3)) y))
Compiler

Compiled 378 to 263 computations (30.4% saved)

regimes136.0ms (0.9%)

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

9 calls:

21.0ms
y
21.0ms
t
20.0ms
z
19.0ms
x
15.0ms
(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 1 y) (*.f64 y (exp.f64 z)))) t))
Results
ErrorSegmentsBranch
1.3b1x
1.3b1y
1.3b1z
1.3b1t
1.3b1(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 1 y) (*.f64 y (exp.f64 z)))) t))
1.3b1(/.f64 (log.f64 (+.f64 (-.f64 1 y) (*.f64 y (exp.f64 z)))) t)
1.3b1(log.f64 (+.f64 (-.f64 1 y) (*.f64 y (exp.f64 z))))
1.3b1(+.f64 (-.f64 1 y) (*.f64 y (exp.f64 z)))
1.3b1(exp.f64 z)
Compiler

Compiled 612 to 301 computations (50.8% saved)

regimes66.0ms (0.4%)

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

5 calls:

15.0ms
z
13.0ms
x
13.0ms
t
13.0ms
y
3.0ms
(exp.f64 z)
Results
ErrorSegmentsBranch
9.3b1x
9.3b1y
9.3b1z
9.3b1t
9.3b1(exp.f64 z)
Compiler

Compiled 356 to 176 computations (50.6% saved)

regimes76.0ms (0.5%)

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

5 calls:

24.0ms
(exp.f64 z)
12.0ms
t
12.0ms
y
12.0ms
x
11.0ms
z
Results
ErrorSegmentsBranch
11.2b1x
11.2b1y
11.2b1z
11.2b1t
11.2b1(exp.f64 z)
Compiler

Compiled 290 to 147 computations (49.3% saved)

regimes159.0ms (1%)

Counts
20 → 2
Calls
Call 1
Inputs
(-.f64 x (-.f64 1 1))
(-.f64 x (*.f64 (/.f64 y t) z))
(-.f64 x (*.f64 (/.f64 z t) y))
(-.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 1 t) (*.f64 z y)))
(-.f64 x (/.f64 1 (/.f64 t (*.f64 y z))))
(-.f64 x (/.f64 1 (/.f64 t (*.f64 z y))))
(-.f64 x (/.f64 (/.f64 y t) (/.f64 1 z)))
(-.f64 x (/.f64 (/.f64 z (/.f64 1 y)) t))
(-.f64 x (*.f64 (/.f64 1 t) (/.f64 y (/.f64 1 z))))
(-.f64 x (-.f64 (+.f64 1 (*.f64 (/.f64 y t) z)) 1))
(-.f64 x (-.f64 (+.f64 1 (*.f64 (/.f64 z t) y)) 1))
(-.f64 x (/.f64 (/.f64 1 t) (/.f64 1 (*.f64 z y))))
(-.f64 x (-.f64 (-.f64 (+.f64 (*.f64 (/.f64 z t) y) 2) 1) 1))
(-.f64 x (/.f64 (*.f64 z (+.f64 (*.f64 z (*.f64 y 1/2)) y)) t))
(-.f64 x (+.f64 (/.f64 y (/.f64 t z)) (*.f64 1/2 (/.f64 (*.f64 y (*.f64 z z)) t))))
(-.f64 x (+.f64 (/.f64 y (/.f64 t z)) (/.f64 (*.f64 (*.f64 1/2 y) (*.f64 z z)) t)))
(-.f64 x (/.f64 (+.f64 (*.f64 (/.f64 z t) y) 2) (/.f64 (+.f64 (*.f64 (/.f64 z t) y) 2) (*.f64 (/.f64 z t) y))))
Outputs
(-.f64 x (-.f64 1 1))
(-.f64 x (+.f64 (/.f64 y (/.f64 t z)) (*.f64 1/2 (/.f64 (*.f64 y (*.f64 z z)) t))))
Calls

4 calls:

59.0ms
x
43.0ms
t
26.0ms
y
26.0ms
z
Results
ErrorSegmentsBranch
16.8b2x
16.7b2y
13.4b2z
14.7b4t
Compiler

Compiled 236 to 118 computations (50% saved)

bsearch27.0ms (0.2%)

Algorithm
binary-search
Steps
TimeLeftRight
27.0ms
-5.919621356696623e-5
-1.4568598192670367e-5
Results
12.0ms73×body256valid
8.0ms14×body1024valid
3.0msbody512valid
3.0ms23×body256invalid
Compiler

Compiled 216 to 156 computations (27.8% saved)

regimes152.0ms (1%)

Counts
17 → 2
Calls
Call 1
Inputs
(-.f64 x (-.f64 1 1))
(-.f64 x (*.f64 (/.f64 y t) z))
(-.f64 x (*.f64 (/.f64 z t) y))
(-.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 1 t) (*.f64 z y)))
(-.f64 x (/.f64 1 (/.f64 t (*.f64 y z))))
(-.f64 x (/.f64 1 (/.f64 t (*.f64 z y))))
(-.f64 x (/.f64 (/.f64 y t) (/.f64 1 z)))
(-.f64 x (/.f64 (/.f64 z (/.f64 1 y)) t))
(-.f64 x (*.f64 (/.f64 1 t) (/.f64 y (/.f64 1 z))))
(-.f64 x (-.f64 (+.f64 1 (*.f64 (/.f64 y t) z)) 1))
(-.f64 x (-.f64 (+.f64 1 (*.f64 (/.f64 z t) y)) 1))
(-.f64 x (/.f64 (/.f64 1 t) (/.f64 1 (*.f64 z y))))
(-.f64 x (-.f64 (-.f64 (+.f64 (*.f64 (/.f64 z t) y) 2) 1) 1))
(-.f64 x (/.f64 (*.f64 z (+.f64 (*.f64 z (*.f64 y 1/2)) y)) t))
Outputs
(-.f64 x (-.f64 1 1))
(-.f64 x (/.f64 y (/.f64 t z)))
Calls

4 calls:

61.0ms
y
55.0ms
t
16.0ms
x
16.0ms
z
Results
ErrorSegmentsBranch
16.8b2x
16.7b2y
13.5b2z
14.7b4t
Compiler

Compiled 179 to 98 computations (45.3% saved)

bsearch26.0ms (0.2%)

Algorithm
binary-search
Steps
TimeLeftRight
26.0ms
-5.919621356696623e-5
-1.4568598192670367e-5
Results
15.0ms79×body256valid
7.0ms12×body1024valid
2.0ms15×body256invalid
1.0msbody512valid
Compiler

Compiled 156 to 120 computations (23.1% saved)

regimes45.0ms (0.3%)

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

4 calls:

16.0ms
t
10.0ms
x
10.0ms
y
7.0ms
z
Results
ErrorSegmentsBranch
16.0b3x
17.0b2y
13.5b2z
14.2b5t
Compiler

Compiled 43 to 30 computations (30.2% saved)

bsearch28.0ms (0.2%)

Algorithm
binary-search
Steps
TimeLeftRight
28.0ms
-5.919621356696623e-5
-1.4568598192670367e-5
Results
15.0ms73×body256valid
6.0ms12×body1024valid
4.0ms11×body512valid
2.0ms14×body256invalid
Compiler

Compiled 156 to 120 computations (23.1% saved)

regimes33.0ms (0.2%)

Accuracy

Total -9.6b remaining (-60%)

Threshold costs -9.6b (-60%)

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

4 calls:

11.0ms
t
8.0ms
x
8.0ms
y
5.0ms
z
Results
ErrorSegmentsBranch
16.0b3x
17.6b2y
16.0b2z
16.7b4t
Compiler

Compiled 36 to 27 computations (25% saved)

bsearch73.0ms (0.5%)

Algorithm
binary-search
Steps
TimeLeftRight
53.0ms
1.1248387440978745e-184
9.515741425940219e-181
21.0ms
-1.2539398217134774e-222
-1.0252860812723347e-222
Results
28.0ms50×body1024valid
21.0ms19×body2048valid
12.0ms39×body512valid
11.0ms68×body256valid
Compiler

Compiled 266 to 205 computations (22.9% saved)

simplify18.0ms (0.1%)

Algorithm
egg-herbie
Rules
62×+-commutative
56×*-commutative
40×sub-neg
36×neg-mul-1
36×neg-sub0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
059248
1105248
2160248
3199248
4223248
5237248
6244248
7247248
8248248
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))
(-.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 -2176715800697727/36893488147419103232) (-.f64 x (-.f64 1 1)) (-.f64 x (+.f64 (/.f64 y (/.f64 t z)) (*.f64 1/2 (/.f64 (*.f64 y (*.f64 z z)) t)))))
(if (<=.f64 z -3172839980678043/73786976294838206464) (-.f64 x (-.f64 1 1)) (-.f64 x (/.f64 y (/.f64 t z))))
(if (<=.f64 z -1438846037749345/36893488147419103232) (-.f64 x (-.f64 1 1)) (-.f64 x (*.f64 (/.f64 z t) y)))
(if (<=.f64 x -7293140785962341/6511732844609232689531105264376228317524178049136629062886970519300817615056281319845148633663627237053642490813899648872938282865350942461292339894854326216889802323744154842249099888585755883524379898570201759747744871130348106729652224) (-.f64 x (-.f64 1 1)) (if (<=.f64 x 1751977197166923/2335969596222563951944279862118549158345332995711262684456546569164428885610842821891027359394494156686664862501680336543072616817344224255105362595697773664385021273272455654442431586430261133312) (-.f64 x (*.f64 (/.f64 y t) z)) (-.f64 x (-.f64 1 1))))
(-.f64 x (-.f64 1 1))
Outputs
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))
(-.f64 x (/.f64 1 (+.f64 (/.f64 t (*.f64 (expm1.f64 z) y)) (*.f64 t 1/2))))
(-.f64 x (/.f64 1 (+.f64 (/.f64 t (*.f64 y (expm1.f64 z))) (*.f64 t 1/2))))
(+.f64 x (/.f64 -1 (+.f64 (/.f64 t (*.f64 y (expm1.f64 z))) (*.f64 t 1/2))))
(-.f64 x (*.f64 (/.f64 (expm1.f64 z) t) y))
(-.f64 x (*.f64 y (/.f64 (expm1.f64 z) t)))
(if (<=.f64 z -2176715800697727/36893488147419103232) (-.f64 x (-.f64 1 1)) (-.f64 x (+.f64 (/.f64 y (/.f64 t z)) (*.f64 1/2 (/.f64 (*.f64 y (*.f64 z z)) t)))))
(if (<=.f64 z -2176715800697727/36893488147419103232) x (-.f64 x (+.f64 (/.f64 y (/.f64 t z)) (*.f64 1/2 (/.f64 (*.f64 y (*.f64 z z)) t)))))
(if (<=.f64 z -2176715800697727/36893488147419103232) x (+.f64 x (-.f64 (*.f64 (/.f64 (*.f64 y (*.f64 z z)) t) -1/2) (/.f64 y (/.f64 t z)))))
(if (<=.f64 z -3172839980678043/73786976294838206464) (-.f64 x (-.f64 1 1)) (-.f64 x (/.f64 y (/.f64 t z))))
(if (<=.f64 z -3172839980678043/73786976294838206464) x (-.f64 x (/.f64 y (/.f64 t z))))
(if (<=.f64 z -1438846037749345/36893488147419103232) (-.f64 x (-.f64 1 1)) (-.f64 x (*.f64 (/.f64 z t) y)))
(if (<=.f64 z -1438846037749345/36893488147419103232) x (-.f64 x (*.f64 y (/.f64 z t))))
(if (<=.f64 x -7293140785962341/6511732844609232689531105264376228317524178049136629062886970519300817615056281319845148633663627237053642490813899648872938282865350942461292339894854326216889802323744154842249099888585755883524379898570201759747744871130348106729652224) (-.f64 x (-.f64 1 1)) (if (<=.f64 x 1751977197166923/2335969596222563951944279862118549158345332995711262684456546569164428885610842821891027359394494156686664862501680336543072616817344224255105362595697773664385021273272455654442431586430261133312) (-.f64 x (*.f64 (/.f64 y t) z)) (-.f64 x (-.f64 1 1))))
(if (<=.f64 x -7293140785962341/6511732844609232689531105264376228317524178049136629062886970519300817615056281319845148633663627237053642490813899648872938282865350942461292339894854326216889802323744154842249099888585755883524379898570201759747744871130348106729652224) x (if (<=.f64 x 1751977197166923/2335969596222563951944279862118549158345332995711262684456546569164428885610842821891027359394494156686664862501680336543072616817344224255105362595697773664385021273272455654442431586430261133312) (-.f64 x (*.f64 z (/.f64 y t))) x))
(-.f64 x (-.f64 1 1))
x
Compiler

Compiled 127 to 83 computations (34.6% saved)

soundness299.0ms (2%)

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

Useful iterations: 4 (0.0ms)

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

Compiled 92 to 52 computations (43.5% saved)

end50.0ms (0.3%)

Compiler

Compiled 99 to 50 computations (49.5% saved)

Profiling

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