Details

Time bar (total: 12.9s)

analyze1.8s (13.5%)

Algorithm
search
Search
TrueOtherFalseIter
0%99.8%0.2%0
0%99.8%0.2%1
0%99.8%0.2%2
0%99.8%0.2%3
0%99.8%0.2%4
0%99.8%0.2%5
0%99.8%0.2%6
0%99.8%0.2%7
0%99.8%0.2%8
1.6%98.2%0.2%9
2.3%97.5%0.2%10
11.7%88.1%0.2%11
12.3%81.3%6.4%12
14.9%78.7%6.4%13
17.4%76.2%6.4%14
Compiler

Compiled 18 to 13 computations (27.8% saved)

sample6.3s (48.4%)

Results
2.0s1553×body8192exit
1.5s1827×body1024valid
769.0ms3975×body128valid
699.0ms1326×body512valid
429.0ms328×body2048valid
326.0ms1849×body128invalid
280.0ms800×body256valid
127.0ms281×body512invalid
115.0ms212×body1024invalid
38.0ms142×body256invalid

preprocess52.0ms (0.4%)

Algorithm
egg-herbie
Rules
471×fma-neg_binary64
400×fma-def_binary64
360×sub-neg_binary64
211×cancel-sign-sub-inv_binary64
190×associate-/l*_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
046140
194126
2235119
3504119
4109798
5239398
6374798
7492498
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 (-.f64 (*.f64 y (exp.f64 z)) y)) t))
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))
(-.f64 y (/.f64 (log.f64 (+.f64 (-.f64 1 x) (*.f64 x (exp.f64 z)))) t))
(-.f64 y (/.f64 (log.f64 (fma.f64 x (exp.f64 z) (-.f64 1 x))) t))
(-.f64 y (/.f64 (log1p.f64 (*.f64 x (+.f64 -1 (exp.f64 z)))) t))
(-.f64 y (/.f64 (log1p.f64 (-.f64 (*.f64 x (exp.f64 z)) x)) t))
(-.f64 y (/.f64 (log1p.f64 (*.f64 x (expm1.f64 z))) t))
(-.f64 z (/.f64 (log.f64 (+.f64 (-.f64 1 y) (*.f64 y (exp.f64 x)))) t))
(-.f64 z (/.f64 (log.f64 (fma.f64 y (exp.f64 x) (-.f64 1 y))) t))
(-.f64 z (/.f64 (log1p.f64 (*.f64 y (+.f64 -1 (exp.f64 x)))) t))
(-.f64 z (/.f64 (log1p.f64 (-.f64 (*.f64 y (exp.f64 x)) 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 (-.f64 (*.f64 y (exp.f64 z)) y)) x))
(-.f64 t (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) x))
(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 1 z) (*.f64 z (exp.f64 y)))) t))
(-.f64 x (/.f64 (log.f64 (fma.f64 z (exp.f64 y) (-.f64 1 z))) t))
(-.f64 x (/.f64 (log1p.f64 (*.f64 z (+.f64 -1 (exp.f64 y)))) t))
(-.f64 x (/.f64 (log1p.f64 (-.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 t (+.f64 (exp.f64 z) -1))) y))
(-.f64 x (/.f64 (log1p.f64 (*.f64 t (expm1.f64 z))) y))
(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 1 y) (*.f64 y (exp.f64 t)))) z))
(-.f64 x (/.f64 (log.f64 (fma.f64 y (exp.f64 t) (-.f64 1 y))) z))
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (+.f64 -1 (exp.f64 t)))) z))
(-.f64 x (/.f64 (log1p.f64 (-.f64 (*.f64 y (exp.f64 t)) y)) z))
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 t))) z))
Compiler

Compiled 17 to 12 computations (29.4% saved)

simplify47.0ms (0.4%)

Algorithm
egg-herbie
Rules
582×fma-def_binary64
369×fma-neg_binary64
355×div-sub_binary64
287×sub-neg_binary64
210×distribute-rgt-in_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
01320
12318
24817
39617
420614
542314
672214
790614
8102014
9123114
10174514
11324014
12417414
13480014
Stop Event
node limit
Counts
1 → 2
Calls
Call 1
Inputs
(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 1 y) (*.f64 y (exp.f64 z)))) t))
Outputs
(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 1 y) (*.f64 y (exp.f64 z)))) t))
(-.f64 x (/.f64 (log.f64 (fma.f64 y (exp.f64 z) (-.f64 1 y))) t))
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (+.f64 -1 (exp.f64 z)))) t))
(-.f64 x (/.f64 (log1p.f64 (-.f64 (*.f64 y (exp.f64 z)) y)) t))
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))

eval1.0ms (0%)

Compiler

Compiled 26 to 17 computations (34.6% saved)

prune2.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New112
Fresh101
Picked000
Done000
Total213
Error
2.4b
Counts
3 → 1
Alt Table
Click to see full alt table
StatusErrorProgram
2.4b
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))
Compiler

Compiled 26 to 18 computations (30.8% saved)

localize7.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(expm1.f64 z)
0.0b
(*.f64 y (expm1.f64 z))
0.5b
(log1p.f64 (*.f64 y (expm1.f64 z)))
5.3b
(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)

series110.0ms (0.8%)

Counts
4 → 96
Calls

24 calls:

TimeVariablePointExpression
29.0ms
z
@-inf
(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)
29.0ms
z
@inf
(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)
21.0ms
t
@0
(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)
17.0ms
t
@inf
(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)
1.0ms
y
@0
(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)

rewrite58.0ms (0.4%)

Algorithm
batch-egg-rewrite
Rules
798×pow1_binary64
732×expm1-log1p-u_binary64
731×log1p-expm1-u_binary64
80×*-un-lft-identity_binary64
80×add-sqr-sqrt_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0828
115928
2198028
Stop Event
node limit
Counts
4 → 84
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))
(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 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 2) (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 2) (*.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (/.f64 1 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) (sqrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (*.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (/.f64 1 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (/.f64 1 (neg.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 t) (log1p.f64 (*.f64 y (expm1.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 2) 1) (/.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 1) (/.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 t) 2)) (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (cbrt.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 2) (pow.f64 (cbrt.f64 t) 2)) (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (pow.f64 (cbrt.f64 t) 2)) (/.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (cbrt.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 t)) (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (sqrt.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 2) (sqrt.f64 t)) (/.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (sqrt.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x 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 cbrt.f64 (/.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 3) (pow.f64 t 3)))))) (#(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 expm1.f64 (log1p.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 (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 *.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 pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 3)))) (#(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 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 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 expm1.f64 (log1p.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))))))))
((#(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 (pow.f64 (*.f64 y (expm1.f64 z)) 3) 1/3)))) (#(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 (sqrt.f64 (*.f64 y (expm1.f64 z))) 2)))) (#(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 cbrt.f64 (*.f64 (pow.f64 y 3) (pow.f64 (expm1.f64 z) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (expm1.f64 z) 3) (pow.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x 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))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 z) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (expm1.f64 z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (expm1.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (expm1.f64 z)) (pow.f64 (cbrt.f64 (expm1.f64 z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (expm1.f64 z)) 2) (cbrt.f64 (expm1.f64 z)))))) (#(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 (-.f64 (pow.f64 (exp.f64 z) 3) 1) (+.f64 (*.f64 (exp.f64 z) (exp.f64 z)) (+.f64 1 (*.f64 (exp.f64 z) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (exp.f64 z) (exp.f64 z)) 1) (+.f64 (exp.f64 z) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (expm1.f64 z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (expm1.f64 z) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (expm1.f64 z)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (expm1.f64 z)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (expm1.f64 z) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (expm1.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (expm1.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (expm1.f64 z) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (expm1.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (expm1.f64 z)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (expm1.f64 z)))))))

simplify56.0ms (0.4%)

Algorithm
egg-herbie
Rules
892×fma-def_binary64
331×associate-/r*_binary64
294×distribute-rgt-in_binary64
293×distribute-lft-in_binary64
202×associate-/l*_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01801819
15431756
217831720
Stop Event
node limit
Counts
180 → 166
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)
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 (exp.f64 z) 1)
(-.f64 (exp.f64 z) 1)
(-.f64 (exp.f64 z) 1)
(-.f64 (exp.f64 z) 1)
(-.f64 (exp.f64 z) 1)
(-.f64 (exp.f64 z) 1)
(-.f64 (exp.f64 z) 1)
(-.f64 (exp.f64 z) 1)
Outputs
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (expm1.f64 z) (/.f64 t y))
(*.f64 (/.f64 y t) (expm1.f64 z))
(+.f64 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t) (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (pow.f64 y 2)) t)))
(+.f64 (/.f64 (expm1.f64 z) (/.f64 t y)) (*.f64 -1/2 (/.f64 (pow.f64 (expm1.f64 z) 2) (/.f64 t (*.f64 y y)))))
(fma.f64 -1/2 (*.f64 (/.f64 (pow.f64 (expm1.f64 z) 2) t) (*.f64 y y)) (/.f64 (expm1.f64 z) (/.f64 t y)))
(fma.f64 -1/2 (*.f64 (/.f64 (pow.f64 (expm1.f64 z) 2) t) (*.f64 y y)) (*.f64 (/.f64 y t) (expm1.f64 z)))
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(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 (*.f64 (*.f64 y y) (+.f64 (*.f64 -1/2 (pow.f64 (expm1.f64 z) 2)) (*.f64 (*.f64 1/3 (pow.f64 (expm1.f64 z) 3)) y)))))
(+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y))))
(+.f64 (log.f64 (expm1.f64 z)) (neg.f64 (neg.f64 (log.f64 y))))
(+.f64 (log.f64 (expm1.f64 z)) (log.f64 y))
(+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (+.f64 (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y)) (*.f64 -1 (log.f64 (/.f64 1 y)))))
(+.f64 (log.f64 (expm1.f64 z)) (+.f64 (neg.f64 (neg.f64 (log.f64 y))) (/.f64 1 (*.f64 (expm1.f64 z) y))))
(+.f64 (log.f64 (expm1.f64 z)) (+.f64 (log.f64 y) (/.f64 1 (*.f64 (expm1.f64 z) y))))
(-.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (+.f64 (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y)) (*.f64 -1 (log.f64 (/.f64 1 y))))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (pow.f64 y 2)))))
(+.f64 (log.f64 (expm1.f64 z)) (-.f64 (+.f64 (neg.f64 (neg.f64 (log.f64 y))) (/.f64 1 (*.f64 (expm1.f64 z) y))) (/.f64 1/2 (*.f64 (pow.f64 (expm1.f64 z) 2) (*.f64 y y)))))
(+.f64 (log.f64 (expm1.f64 z)) (+.f64 (log.f64 y) (-.f64 (/.f64 1 (*.f64 (expm1.f64 z) y)) (/.f64 1/2 (*.f64 (pow.f64 (expm1.f64 z) 2) (*.f64 y y))))))
(+.f64 (log.f64 (expm1.f64 z)) (+.f64 (+.f64 (log.f64 y) (/.f64 1 (*.f64 (expm1.f64 z) y))) (/.f64 -1/2 (*.f64 (pow.f64 (expm1.f64 z) 2) (*.f64 y y)))))
(-.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (+.f64 (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y)) (+.f64 (*.f64 1/3 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 3) (pow.f64 y 3)))) (*.f64 -1 (log.f64 (/.f64 1 y)))))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (pow.f64 y 2)))))
(+.f64 (log.f64 (expm1.f64 z)) (-.f64 (+.f64 (/.f64 1 (*.f64 (expm1.f64 z) y)) (+.f64 (neg.f64 (neg.f64 (log.f64 y))) (/.f64 1/3 (*.f64 (pow.f64 (expm1.f64 z) 3) (pow.f64 y 3))))) (/.f64 1/2 (*.f64 (pow.f64 (expm1.f64 z) 2) (*.f64 y y)))))
(+.f64 (+.f64 (log.f64 y) (+.f64 (/.f64 1 (*.f64 (expm1.f64 z) y)) (/.f64 (/.f64 1/3 (pow.f64 y 3)) (pow.f64 (expm1.f64 z) 3)))) (+.f64 (log.f64 (expm1.f64 z)) (/.f64 -1/2 (*.f64 (pow.f64 (expm1.f64 z) 2) (*.f64 y y)))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1))))
(fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 (neg.f64 (expm1.f64 z))))
(-.f64 (log.f64 (neg.f64 (expm1.f64 z))) (log.f64 (/.f64 -1 y)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (+.f64 (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y)) (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1)))))
(fma.f64 -1 (log.f64 (/.f64 -1 y)) (+.f64 (log.f64 (neg.f64 (expm1.f64 z))) (/.f64 1 (*.f64 (expm1.f64 z) y))))
(+.f64 (-.f64 (log.f64 (neg.f64 (expm1.f64 z))) (log.f64 (/.f64 -1 y))) (/.f64 1 (*.f64 (expm1.f64 z) y)))
(+.f64 (log.f64 (neg.f64 (expm1.f64 z))) (-.f64 (/.f64 1 (*.f64 (expm1.f64 z) y)) (log.f64 (/.f64 -1 y))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (+.f64 (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y)) (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1))))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (pow.f64 y 2)))))
(-.f64 (fma.f64 -1 (log.f64 (/.f64 -1 y)) (+.f64 (log.f64 (neg.f64 (expm1.f64 z))) (/.f64 1 (*.f64 (expm1.f64 z) y)))) (/.f64 1/2 (*.f64 (pow.f64 (expm1.f64 z) 2) (*.f64 y y))))
(+.f64 (+.f64 (-.f64 (log.f64 (neg.f64 (expm1.f64 z))) (log.f64 (/.f64 -1 y))) (/.f64 1 (*.f64 (expm1.f64 z) y))) (/.f64 -1/2 (*.f64 (pow.f64 (expm1.f64 z) 2) (*.f64 y y))))
(+.f64 (-.f64 (/.f64 1 (*.f64 (expm1.f64 z) y)) (log.f64 (/.f64 -1 y))) (+.f64 (log.f64 (neg.f64 (expm1.f64 z))) (/.f64 -1/2 (*.f64 (pow.f64 (expm1.f64 z) 2) (*.f64 y y)))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (+.f64 (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y)) (+.f64 (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1))) (*.f64 1/3 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 3) (pow.f64 y 3))))))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (pow.f64 y 2)))))
(-.f64 (fma.f64 -1 (log.f64 (/.f64 -1 y)) (+.f64 (/.f64 1 (*.f64 (expm1.f64 z) y)) (+.f64 (log.f64 (neg.f64 (expm1.f64 z))) (/.f64 1/3 (*.f64 (pow.f64 (expm1.f64 z) 3) (pow.f64 y 3)))))) (/.f64 1/2 (*.f64 (pow.f64 (expm1.f64 z) 2) (*.f64 y y))))
(+.f64 (-.f64 (+.f64 (log.f64 (neg.f64 (expm1.f64 z))) (+.f64 (/.f64 1 (*.f64 (expm1.f64 z) y)) (/.f64 (/.f64 1/3 (pow.f64 y 3)) (pow.f64 (expm1.f64 z) 3)))) (log.f64 (/.f64 -1 y))) (/.f64 -1/2 (*.f64 (pow.f64 (expm1.f64 z) 2) (*.f64 y y))))
(+.f64 (+.f64 (+.f64 (log.f64 (neg.f64 (expm1.f64 z))) (/.f64 1 (*.f64 (expm1.f64 z) y))) (-.f64 (/.f64 (/.f64 1/3 (pow.f64 y 3)) (pow.f64 (expm1.f64 z) 3)) (log.f64 (/.f64 -1 y)))) (/.f64 -1/2 (*.f64 (pow.f64 (expm1.f64 z) 2) (*.f64 y y))))
(*.f64 y z)
(*.f64 z y)
(+.f64 (*.f64 y z) (*.f64 1/2 (*.f64 (pow.f64 z 2) (+.f64 (*.f64 -1 (pow.f64 y 2)) y))))
(fma.f64 y z (*.f64 1/2 (*.f64 (*.f64 z z) (fma.f64 -1 (*.f64 y y) y))))
(fma.f64 1/2 (*.f64 z (*.f64 z (-.f64 y (*.f64 y y)))) (*.f64 z y))
(fma.f64 (-.f64 y (*.f64 y y)) (*.f64 1/2 (*.f64 z z)) (*.f64 z y))
(+.f64 (*.f64 y z) (+.f64 (*.f64 1/6 (*.f64 (+.f64 (*.f64 -3 (pow.f64 y 2)) (+.f64 y (*.f64 2 (pow.f64 y 3)))) (pow.f64 z 3))) (*.f64 1/2 (*.f64 (pow.f64 z 2) (+.f64 (*.f64 -1 (pow.f64 y 2)) y)))))
(fma.f64 y z (fma.f64 1/6 (*.f64 (pow.f64 z 3) (fma.f64 -3 (*.f64 y y) (+.f64 y (*.f64 2 (pow.f64 y 3))))) (*.f64 1/2 (*.f64 (*.f64 z z) (fma.f64 -1 (*.f64 y y) y)))))
(fma.f64 z y (fma.f64 1/2 (*.f64 z (*.f64 z (-.f64 y (*.f64 y y)))) (*.f64 (fma.f64 (*.f64 y y) -3 (fma.f64 2 (pow.f64 y 3) y)) (*.f64 1/6 (pow.f64 z 3)))))
(fma.f64 z y (*.f64 (*.f64 z z) (+.f64 (*.f64 (*.f64 1/6 (fma.f64 2 (pow.f64 y 3) (fma.f64 y (*.f64 y -3) y))) z) (*.f64 1/2 (-.f64 y (*.f64 y 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))))))
(fma.f64 y z (fma.f64 1/6 (*.f64 (pow.f64 z 3) (fma.f64 -3 (*.f64 y y) (+.f64 y (*.f64 2 (pow.f64 y 3))))) (fma.f64 1/2 (*.f64 (*.f64 z z) (fma.f64 -1 (*.f64 y y) y)) (*.f64 1/24 (*.f64 (pow.f64 z 4) (fma.f64 -3 (*.f64 y y) (+.f64 y (fma.f64 12 (pow.f64 y 3) (fma.f64 -4 (*.f64 y y) (*.f64 (pow.f64 y 4) -6))))))))))
(fma.f64 z y (fma.f64 1/6 (*.f64 (fma.f64 (*.f64 y y) -3 (fma.f64 2 (pow.f64 y 3) y)) (pow.f64 z 3)) (fma.f64 1/24 (*.f64 (+.f64 (fma.f64 (pow.f64 y 3) 12 (fma.f64 (*.f64 y y) -4 (*.f64 (pow.f64 y 4) -6))) (fma.f64 (*.f64 y y) -3 y)) (pow.f64 z 4)) (*.f64 1/2 (*.f64 z (*.f64 z (-.f64 y (*.f64 y y))))))))
(fma.f64 z y (fma.f64 (+.f64 y (fma.f64 y (*.f64 y -3) (fma.f64 (pow.f64 y 4) -6 (*.f64 (*.f64 y y) (+.f64 (*.f64 12 y) -4))))) (*.f64 1/24 (pow.f64 z 4)) (*.f64 (*.f64 z z) (+.f64 (*.f64 (*.f64 1/6 (fma.f64 2 (pow.f64 y 3) (fma.f64 y (*.f64 y -3) y))) z) (*.f64 1/2 (-.f64 y (*.f64 y y)))))))
(log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y)))
(log1p.f64 (*.f64 (expm1.f64 z) y))
(log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y)))
(log1p.f64 (*.f64 (expm1.f64 z) y))
(log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y)))
(log1p.f64 (*.f64 (expm1.f64 z) y))
(log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y)))
(log1p.f64 (*.f64 (expm1.f64 z) y))
(log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y)))
(log1p.f64 (*.f64 (expm1.f64 z) y))
(log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y)))
(log1p.f64 (*.f64 (expm1.f64 z) y))
(log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y)))
(log1p.f64 (*.f64 (expm1.f64 z) y))
(log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y)))
(log1p.f64 (*.f64 (expm1.f64 z) y))
(*.f64 (-.f64 (exp.f64 z) 1) y)
(*.f64 (expm1.f64 z) y)
(*.f64 (-.f64 (exp.f64 z) 1) y)
(*.f64 (expm1.f64 z) y)
(*.f64 (-.f64 (exp.f64 z) 1) y)
(*.f64 (expm1.f64 z) y)
(*.f64 (-.f64 (exp.f64 z) 1) y)
(*.f64 (expm1.f64 z) y)
(*.f64 (-.f64 (exp.f64 z) 1) y)
(*.f64 (expm1.f64 z) y)
(*.f64 (-.f64 (exp.f64 z) 1) y)
(*.f64 (expm1.f64 z) y)
(*.f64 (-.f64 (exp.f64 z) 1) y)
(*.f64 (expm1.f64 z) y)
(*.f64 (-.f64 (exp.f64 z) 1) y)
(*.f64 (expm1.f64 z) y)
(*.f64 (-.f64 (exp.f64 z) 1) y)
(*.f64 (expm1.f64 z) y)
(*.f64 (-.f64 (exp.f64 z) 1) y)
(*.f64 (expm1.f64 z) y)
(*.f64 (-.f64 (exp.f64 z) 1) y)
(*.f64 (expm1.f64 z) y)
(*.f64 (-.f64 (exp.f64 z) 1) y)
(*.f64 (expm1.f64 z) y)
(*.f64 y z)
(*.f64 z y)
(+.f64 (*.f64 y z) (*.f64 1/2 (*.f64 y (pow.f64 z 2))))
(fma.f64 y z (*.f64 1/2 (*.f64 y (*.f64 z z))))
(fma.f64 1/2 (*.f64 z (*.f64 z y)) (*.f64 z y))
(*.f64 y (fma.f64 1/2 (*.f64 z z) z))
(+.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 z y (fma.f64 1/2 (*.f64 z (*.f64 z y)) (*.f64 (pow.f64 z 3) (*.f64 y 1/6))))
(fma.f64 z y (*.f64 y (*.f64 (*.f64 z z) (+.f64 (*.f64 1/6 z) 1/2))))
(+.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 z y (fma.f64 1/2 (*.f64 z (*.f64 z y)) (fma.f64 1/24 (*.f64 y (pow.f64 z 4)) (*.f64 (pow.f64 z 3) (*.f64 y 1/6)))))
(+.f64 (*.f64 y (fma.f64 1/6 (pow.f64 z 3) (*.f64 1/24 (pow.f64 z 4)))) (*.f64 y (fma.f64 1/2 (*.f64 z z) z)))
(*.f64 (-.f64 (exp.f64 z) 1) y)
(*.f64 (expm1.f64 z) y)
(*.f64 (-.f64 (exp.f64 z) 1) y)
(*.f64 (expm1.f64 z) y)
(*.f64 (-.f64 (exp.f64 z) 1) y)
(*.f64 (expm1.f64 z) y)
(*.f64 (-.f64 (exp.f64 z) 1) y)
(*.f64 (expm1.f64 z) y)
(*.f64 (-.f64 (exp.f64 z) 1) y)
(*.f64 (expm1.f64 z) y)
(*.f64 (-.f64 (exp.f64 z) 1) y)
(*.f64 (expm1.f64 z) y)
(*.f64 (-.f64 (exp.f64 z) 1) y)
(*.f64 (expm1.f64 z) y)
(*.f64 (-.f64 (exp.f64 z) 1) y)
(*.f64 (expm1.f64 z) y)
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))
(fma.f64 1/6 (pow.f64 z 3) (fma.f64 1/2 (*.f64 z z) 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)))
(fma.f64 1/24 (pow.f64 z 4) (fma.f64 1/6 (pow.f64 z 3) (fma.f64 1/2 (*.f64 z z) z)))
(-.f64 (exp.f64 z) 1)
(expm1.f64 z)
(-.f64 (exp.f64 z) 1)
(expm1.f64 z)
(-.f64 (exp.f64 z) 1)
(expm1.f64 z)
(-.f64 (exp.f64 z) 1)
(expm1.f64 z)
(-.f64 (exp.f64 z) 1)
(expm1.f64 z)
(-.f64 (exp.f64 z) 1)
(expm1.f64 z)
(-.f64 (exp.f64 z) 1)
(expm1.f64 z)
(-.f64 (exp.f64 z) 1)
(expm1.f64 z)

eval57.0ms (0.4%)

Compiler

Compiled 3468 to 1839 computations (47% saved)

prune408.0ms (3.2%)

Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New1579166
Fresh000
Picked101
Done000
Total1589167
Error
0.2b
Counts
167 → 9
Alt Table
Click to see full alt table
StatusErrorProgram
2.6b
(-.f64 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))))
14.5b
(-.f64 x (/.f64 (log1p.f64 (*.f64 y z)) t))
2.7b
(-.f64 x (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 3))
7.3b
(-.f64 x (/.f64 (cbrt.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 3)) t))
13.0b
(-.f64 x (*.f64 (/.f64 y t) (expm1.f64 z)))
22.3b
(-.f64 x (pow.f64 (sqrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 2))
2.4b
(-.f64 x (*.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (/.f64 1 t)))
25.0b
(-.f64 x (/.f64 (pow.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 2) t))
2.7b
(-.f64 x (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 t) 2)) (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (cbrt.f64 t))))
Compiler

Compiled 298 to 210 computations (29.5% saved)

localize8.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(-.f64 x (*.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (/.f64 1 t)))
0.0b
(*.f64 y (expm1.f64 z))
0.5b
(log1p.f64 (*.f64 y (expm1.f64 z)))
5.3b
(*.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (/.f64 1 t))

series13.0ms (0.1%)

Counts
2 → 84
Calls

21 calls:

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

rewrite87.0ms (0.7%)

Algorithm
batch-egg-rewrite
Rules
874×prod-diff_binary64
218×log1p-udef_binary64
141×egg-rr
126×add-sqr-sqrt_binary64
124×pow1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01225
124925
2321425
Stop Event
node limit
Counts
2 → 163
Calls
Call 1
Inputs
(*.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (/.f64 1 t))
(-.f64 x (*.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (/.f64 1 t)))
Outputs
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(expm1.f64 z))) t))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (/.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) t))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (/.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) t))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (/.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) t))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))))))))

simplify78.0ms (0.6%)

Algorithm
egg-herbie
Rules
443×associate-*l*_binary64
407×fma-def_binary64
303×associate-/r*_binary64
288×distribute-rgt-in_binary64
267×distribute-lft-in_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01541917
14671867
215151818
Stop Event
node limit
Counts
247 → 231
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 -1 (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t))
(+.f64 (*.f64 -1 (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)) x)
(+.f64 (*.f64 -1 (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)) x)
(+.f64 (*.f64 -1 (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)) x)
x
(+.f64 (*.f64 -1 (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)) x)
(+.f64 (*.f64 -1 (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)) x)
(+.f64 (*.f64 -1 (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)) x)
x
(+.f64 (*.f64 -1 (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)) x)
(+.f64 (*.f64 -1 (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)) x)
(+.f64 (*.f64 -1 (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)) x)
x
(+.f64 (*.f64 y (-.f64 (/.f64 1 t) (/.f64 (exp.f64 z) t))) x)
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (pow.f64 y 2)) t)) (+.f64 (*.f64 y (-.f64 (/.f64 1 t) (/.f64 (exp.f64 z) t))) x))
(+.f64 (*.f64 -1/3 (/.f64 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 3) (pow.f64 y 3)) t)) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (pow.f64 y 2)) t)) (+.f64 (*.f64 y (-.f64 (/.f64 1 t) (/.f64 (exp.f64 z) t))) x)))
(-.f64 x (+.f64 (/.f64 (log.f64 (-.f64 (exp.f64 z) 1)) t) (*.f64 -1 (/.f64 (log.f64 (/.f64 1 y)) t))))
(-.f64 x (+.f64 (/.f64 (log.f64 (-.f64 (exp.f64 z) 1)) t) (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 y)) t)) (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) (*.f64 y t))))))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (*.f64 (pow.f64 y 2) t)))) x) (+.f64 (/.f64 (log.f64 (-.f64 (exp.f64 z) 1)) t) (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 y)) t)) (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) (*.f64 y t))))))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (*.f64 (pow.f64 y 2) t)))) x) (+.f64 (/.f64 (log.f64 (-.f64 (exp.f64 z) 1)) t) (+.f64 (*.f64 1/3 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 3) (*.f64 (pow.f64 y 3) t)))) (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 y)) t)) (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) (*.f64 y t)))))))
(-.f64 x (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 y)) t)) (/.f64 (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1))) t)))
(-.f64 x (+.f64 (/.f64 (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1))) t) (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 y)) t)) (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) (*.f64 y t))))))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (*.f64 (pow.f64 y 2) t)))) x) (+.f64 (/.f64 (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1))) t) (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 y)) t)) (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) (*.f64 y t))))))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (*.f64 (pow.f64 y 2) t)))) x) (+.f64 (/.f64 (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1))) t) (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 y)) t)) (+.f64 (*.f64 1/3 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 3) (*.f64 (pow.f64 y 3) t)))) (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) (*.f64 y t)))))))
x
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 z 2) (+.f64 (*.f64 -1 (pow.f64 y 2)) y)) t)) x))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) (+.f64 (*.f64 -1/6 (/.f64 (*.f64 (+.f64 y (+.f64 (*.f64 -3 (pow.f64 y 2)) (*.f64 2 (pow.f64 y 3)))) (pow.f64 z 3)) t)) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 z 2) (+.f64 (*.f64 -1 (pow.f64 y 2)) y)) t)) x)))
(-.f64 x (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t))
(-.f64 x (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t))
(-.f64 x (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t))
(-.f64 x (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t))
(-.f64 x (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t))
(-.f64 x (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t))
(-.f64 x (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t))
(-.f64 x (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t))
(*.f64 -1 (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t))
(+.f64 (*.f64 -1 (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)) x)
(+.f64 (*.f64 -1 (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)) x)
(+.f64 (*.f64 -1 (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)) x)
x
(+.f64 (*.f64 -1 (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)) x)
(+.f64 (*.f64 -1 (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)) x)
(+.f64 (*.f64 -1 (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)) x)
x
(+.f64 (*.f64 -1 (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)) x)
(+.f64 (*.f64 -1 (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)) x)
(+.f64 (*.f64 -1 (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)) x)
Outputs
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (expm1.f64 z) (/.f64 t y))
(*.f64 (/.f64 (expm1.f64 z) t) y)
(*.f64 (/.f64 y t) (expm1.f64 z))
(+.f64 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t) (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (pow.f64 y 2)) t)))
(+.f64 (/.f64 (expm1.f64 z) (/.f64 t y)) (*.f64 -1/2 (/.f64 (pow.f64 (expm1.f64 z) 2) (/.f64 t (*.f64 y y)))))
(fma.f64 -1/2 (*.f64 (/.f64 (pow.f64 (expm1.f64 z) 2) t) (*.f64 y y)) (*.f64 (/.f64 (expm1.f64 z) t) y))
(fma.f64 -1/2 (*.f64 (/.f64 (pow.f64 (expm1.f64 z) 2) t) (*.f64 y y)) (*.f64 (/.f64 y t) (expm1.f64 z)))
(+.f64 (*.f64 1/3 (/.f64 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 3) (pow.f64 y 3)) t)) (+.f64 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t) (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (pow.f64 y 2)) t))))
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(+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (pow.f64 y 2)) t)) (+.f64 (*.f64 y (-.f64 (/.f64 1 t) (/.f64 (exp.f64 z) t))) x))
(fma.f64 1/2 (/.f64 (pow.f64 (expm1.f64 z) 2) (/.f64 t (*.f64 y y))) (fma.f64 y (-.f64 (/.f64 1 t) (/.f64 (exp.f64 z) t)) x))
(fma.f64 (*.f64 (/.f64 (pow.f64 (expm1.f64 z) 2) t) (*.f64 y y)) 1/2 (fma.f64 y (-.f64 (/.f64 1 t) (/.f64 (exp.f64 z) t)) x))
(+.f64 (*.f64 -1/3 (/.f64 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 3) (pow.f64 y 3)) t)) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (pow.f64 y 2)) t)) (+.f64 (*.f64 y (-.f64 (/.f64 1 t) (/.f64 (exp.f64 z) t))) x)))
(fma.f64 -1/3 (/.f64 (pow.f64 (expm1.f64 z) 3) (/.f64 t (pow.f64 y 3))) (fma.f64 1/2 (/.f64 (pow.f64 (expm1.f64 z) 2) (/.f64 t (*.f64 y y))) (fma.f64 y (-.f64 (/.f64 1 t) (/.f64 (exp.f64 z) t)) x)))
(fma.f64 (*.f64 (/.f64 (pow.f64 (expm1.f64 z) 3) t) (pow.f64 y 3)) -1/3 (fma.f64 (*.f64 (/.f64 (pow.f64 (expm1.f64 z) 2) t) (*.f64 y y)) 1/2 (fma.f64 y (-.f64 (/.f64 1 t) (/.f64 (exp.f64 z) t)) x)))
(-.f64 x (+.f64 (/.f64 (log.f64 (-.f64 (exp.f64 z) 1)) t) (*.f64 -1 (/.f64 (log.f64 (/.f64 1 y)) t))))
(-.f64 x (+.f64 (/.f64 (log.f64 (expm1.f64 z)) t) (/.f64 (neg.f64 (neg.f64 (log.f64 y))) t)))
(-.f64 x (+.f64 (/.f64 (log.f64 (expm1.f64 z)) t) (/.f64 (log.f64 y) t)))
(-.f64 x (/.f64 (+.f64 (log.f64 (expm1.f64 z)) (log.f64 y)) t))
(-.f64 x (+.f64 (/.f64 (log.f64 (-.f64 (exp.f64 z) 1)) t) (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 y)) t)) (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) (*.f64 y t))))))
(-.f64 (-.f64 x (/.f64 (log.f64 (expm1.f64 z)) t)) (fma.f64 -1 (/.f64 (neg.f64 (log.f64 y)) t) (/.f64 1 (*.f64 (expm1.f64 z) (*.f64 y t)))))
(-.f64 x (+.f64 (/.f64 (log.f64 (expm1.f64 z)) t) (+.f64 (/.f64 (log.f64 y) t) (/.f64 (/.f64 1 (*.f64 y t)) (expm1.f64 z)))))
(-.f64 x (+.f64 (/.f64 (/.f64 1 (*.f64 y t)) (expm1.f64 z)) (/.f64 (+.f64 (log.f64 (expm1.f64 z)) (log.f64 y)) t)))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (*.f64 (pow.f64 y 2) t)))) x) (+.f64 (/.f64 (log.f64 (-.f64 (exp.f64 z) 1)) t) (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 y)) t)) (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) (*.f64 y t))))))
(+.f64 (/.f64 1/2 (*.f64 (pow.f64 (expm1.f64 z) 2) (*.f64 t (*.f64 y y)))) (-.f64 (-.f64 x (/.f64 (log.f64 (expm1.f64 z)) t)) (fma.f64 -1 (/.f64 (neg.f64 (log.f64 y)) t) (/.f64 1 (*.f64 (expm1.f64 z) (*.f64 y t))))))
(-.f64 (-.f64 (+.f64 (/.f64 1/2 (*.f64 (pow.f64 (expm1.f64 z) 2) (*.f64 y (*.f64 y t)))) x) (/.f64 (log.f64 (expm1.f64 z)) t)) (+.f64 (/.f64 (log.f64 y) t) (/.f64 (/.f64 1 (*.f64 y t)) (expm1.f64 z))))
(+.f64 (/.f64 (/.f64 (/.f64 1/2 t) (*.f64 y y)) (pow.f64 (expm1.f64 z) 2)) (-.f64 x (+.f64 (/.f64 (/.f64 1 (*.f64 y t)) (expm1.f64 z)) (/.f64 (+.f64 (log.f64 (expm1.f64 z)) (log.f64 y)) t))))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (*.f64 (pow.f64 y 2) t)))) x) (+.f64 (/.f64 (log.f64 (-.f64 (exp.f64 z) 1)) t) (+.f64 (*.f64 1/3 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 3) (*.f64 (pow.f64 y 3) t)))) (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 y)) t)) (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) (*.f64 y t)))))))
(-.f64 (-.f64 (+.f64 (/.f64 1/2 (*.f64 (pow.f64 (expm1.f64 z) 2) (*.f64 t (*.f64 y y)))) x) (/.f64 (log.f64 (expm1.f64 z)) t)) (+.f64 (fma.f64 -1 (/.f64 (neg.f64 (log.f64 y)) t) (/.f64 1 (*.f64 (expm1.f64 z) (*.f64 y t)))) (/.f64 1/3 (*.f64 (pow.f64 (expm1.f64 z) 3) (*.f64 t (pow.f64 y 3))))))
(+.f64 (/.f64 1/2 (*.f64 (pow.f64 (expm1.f64 z) 2) (*.f64 y (*.f64 y t)))) (-.f64 x (+.f64 (+.f64 (/.f64 (log.f64 y) t) (/.f64 (/.f64 1 (*.f64 y t)) (expm1.f64 z))) (+.f64 (/.f64 (log.f64 (expm1.f64 z)) t) (/.f64 1/3 (*.f64 (pow.f64 (expm1.f64 z) 3) (*.f64 t (pow.f64 y 3))))))))
(+.f64 (/.f64 (/.f64 (/.f64 1/2 t) (*.f64 y y)) (pow.f64 (expm1.f64 z) 2)) (-.f64 x (+.f64 (+.f64 (/.f64 (/.f64 1 (*.f64 y t)) (expm1.f64 z)) (/.f64 (+.f64 (log.f64 (expm1.f64 z)) (log.f64 y)) t)) (/.f64 (/.f64 (/.f64 1/3 (pow.f64 y 3)) t) (pow.f64 (expm1.f64 z) 3)))))
(-.f64 x (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 y)) t)) (/.f64 (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1))) t)))
(-.f64 x (fma.f64 -1 (/.f64 (log.f64 (/.f64 -1 y)) t) (/.f64 (log.f64 (neg.f64 (expm1.f64 z))) t)))
(-.f64 x (-.f64 (/.f64 (log.f64 (neg.f64 (expm1.f64 z))) t) (/.f64 (log.f64 (/.f64 -1 y)) t)))
(-.f64 x (/.f64 (-.f64 (log.f64 (neg.f64 (expm1.f64 z))) (log.f64 (/.f64 -1 y))) t))
(-.f64 x (+.f64 (/.f64 (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1))) t) (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 y)) t)) (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) (*.f64 y t))))))
(-.f64 x (+.f64 (/.f64 (log.f64 (neg.f64 (expm1.f64 z))) t) (fma.f64 -1 (/.f64 (log.f64 (/.f64 -1 y)) t) (/.f64 1 (*.f64 (expm1.f64 z) (*.f64 y t))))))
(-.f64 (-.f64 x (-.f64 (/.f64 (/.f64 1 (*.f64 y t)) (expm1.f64 z)) (/.f64 (log.f64 (/.f64 -1 y)) t))) (/.f64 (log.f64 (neg.f64 (expm1.f64 z))) t))
(+.f64 (-.f64 x (/.f64 (-.f64 (log.f64 (neg.f64 (expm1.f64 z))) (log.f64 (/.f64 -1 y))) t)) (/.f64 -1 (*.f64 (expm1.f64 z) (*.f64 y t))))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (*.f64 (pow.f64 y 2) t)))) x) (+.f64 (/.f64 (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1))) t) (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 y)) t)) (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) (*.f64 y t))))))
(+.f64 (/.f64 1/2 (*.f64 (pow.f64 (expm1.f64 z) 2) (*.f64 t (*.f64 y y)))) (-.f64 x (+.f64 (/.f64 (log.f64 (neg.f64 (expm1.f64 z))) t) (fma.f64 -1 (/.f64 (log.f64 (/.f64 -1 y)) t) (/.f64 1 (*.f64 (expm1.f64 z) (*.f64 y t)))))))
(-.f64 (-.f64 (+.f64 (/.f64 1/2 (*.f64 (pow.f64 (expm1.f64 z) 2) (*.f64 y (*.f64 y t)))) x) (-.f64 (/.f64 (/.f64 1 (*.f64 y t)) (expm1.f64 z)) (/.f64 (log.f64 (/.f64 -1 y)) t))) (/.f64 (log.f64 (neg.f64 (expm1.f64 z))) t))
(+.f64 x (-.f64 (/.f64 (/.f64 (/.f64 1/2 t) (*.f64 y y)) (pow.f64 (expm1.f64 z) 2)) (+.f64 (/.f64 (/.f64 1 (*.f64 y t)) (expm1.f64 z)) (/.f64 (-.f64 (log.f64 (neg.f64 (expm1.f64 z))) (log.f64 (/.f64 -1 y))) t))))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (*.f64 (pow.f64 y 2) t)))) x) (+.f64 (/.f64 (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1))) t) (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 y)) t)) (+.f64 (*.f64 1/3 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 3) (*.f64 (pow.f64 y 3) t)))) (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) (*.f64 y t)))))))
(-.f64 (+.f64 (/.f64 1/2 (*.f64 (pow.f64 (expm1.f64 z) 2) (*.f64 t (*.f64 y y)))) x) (+.f64 (/.f64 (log.f64 (neg.f64 (expm1.f64 z))) t) (fma.f64 -1 (/.f64 (log.f64 (/.f64 -1 y)) t) (+.f64 (/.f64 1 (*.f64 (expm1.f64 z) (*.f64 y t))) (/.f64 1/3 (*.f64 (pow.f64 (expm1.f64 z) 3) (*.f64 t (pow.f64 y 3))))))))
(+.f64 (/.f64 1/2 (*.f64 (pow.f64 (expm1.f64 z) 2) (*.f64 y (*.f64 y t)))) (-.f64 (-.f64 x (+.f64 (/.f64 1/3 (*.f64 (pow.f64 (expm1.f64 z) 3) (*.f64 t (pow.f64 y 3)))) (-.f64 (/.f64 (/.f64 1 (*.f64 y t)) (expm1.f64 z)) (/.f64 (log.f64 (/.f64 -1 y)) t)))) (/.f64 (log.f64 (neg.f64 (expm1.f64 z))) t)))
(+.f64 (/.f64 (/.f64 (/.f64 1/2 t) (*.f64 y y)) (pow.f64 (expm1.f64 z) 2)) (-.f64 (-.f64 x (/.f64 (-.f64 (log.f64 (neg.f64 (expm1.f64 z))) (log.f64 (/.f64 -1 y))) t)) (+.f64 (/.f64 (/.f64 1 (*.f64 y t)) (expm1.f64 z)) (/.f64 (/.f64 (/.f64 1/3 (pow.f64 y 3)) t) (pow.f64 (expm1.f64 z) 3)))))
x
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(fma.f64 -1 (/.f64 y (/.f64 t z)) x)
(-.f64 x (*.f64 (/.f64 y t) z))
(-.f64 x (*.f64 (/.f64 z t) y))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 z 2) (+.f64 (*.f64 -1 (pow.f64 y 2)) y)) t)) x))
(fma.f64 -1 (/.f64 y (/.f64 t z)) (fma.f64 -1/2 (/.f64 (*.f64 (fma.f64 -1 (*.f64 y y) y) (*.f64 z z)) t) x))
(-.f64 (fma.f64 -1/2 (/.f64 z (/.f64 (/.f64 t (-.f64 y (*.f64 y y))) z)) x) (*.f64 (/.f64 y t) z))
(-.f64 (fma.f64 -1/2 (*.f64 (/.f64 z (/.f64 t z)) (-.f64 y (*.f64 y y))) x) (*.f64 (/.f64 z t) y))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) (+.f64 (*.f64 -1/6 (/.f64 (*.f64 (+.f64 y (+.f64 (*.f64 -3 (pow.f64 y 2)) (*.f64 2 (pow.f64 y 3)))) (pow.f64 z 3)) t)) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 z 2) (+.f64 (*.f64 -1 (pow.f64 y 2)) y)) t)) x)))
(fma.f64 -1 (/.f64 y (/.f64 t z)) (fma.f64 -1/6 (/.f64 (+.f64 y (fma.f64 -3 (*.f64 y y) (*.f64 2 (pow.f64 y 3)))) (/.f64 t (pow.f64 z 3))) (fma.f64 -1/2 (/.f64 (*.f64 (fma.f64 -1 (*.f64 y y) y) (*.f64 z z)) t) x)))
(-.f64 (fma.f64 (*.f64 (/.f64 (+.f64 y (fma.f64 2 (pow.f64 y 3) (*.f64 y (*.f64 y -3)))) t) (pow.f64 z 3)) -1/6 (fma.f64 -1/2 (/.f64 z (/.f64 (/.f64 t (-.f64 y (*.f64 y y))) z)) x)) (*.f64 (/.f64 y t) z))
(-.f64 (fma.f64 (*.f64 (/.f64 (fma.f64 2 (pow.f64 y 3) (fma.f64 y (*.f64 y -3) y)) t) (pow.f64 z 3)) -1/6 (fma.f64 -1/2 (*.f64 (/.f64 z (/.f64 t z)) (-.f64 y (*.f64 y y))) x)) (*.f64 (/.f64 z t) y))
(-.f64 x (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t))
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))
(-.f64 x (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t))
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))
(-.f64 x (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t))
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))
(-.f64 x (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t))
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))
(-.f64 x (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t))
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))
(-.f64 x (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t))
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))
(-.f64 x (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t))
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))
(-.f64 x (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t))
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))
(*.f64 -1 (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t))
(neg.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))
(/.f64 (neg.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) t)
(+.f64 (*.f64 -1 (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)) x)
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))
(+.f64 (*.f64 -1 (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)) x)
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))
(+.f64 (*.f64 -1 (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)) x)
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))
x
(+.f64 (*.f64 -1 (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)) x)
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))
(+.f64 (*.f64 -1 (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)) x)
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))
(+.f64 (*.f64 -1 (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)) x)
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))
x
(+.f64 (*.f64 -1 (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)) x)
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))
(+.f64 (*.f64 -1 (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)) x)
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))
(+.f64 (*.f64 -1 (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)) x)
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))

eval133.0ms (1%)

Compiler

Compiled 10114 to 4128 computations (59.2% saved)

prune986.0ms (7.6%)

Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New3020302
Fresh088
Picked011
Done000
Total3029311
Error
0.2b
Counts
311 → 9
Alt Table
Click to see full alt table
StatusErrorProgram
2.6b
(-.f64 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))))
14.5b
(-.f64 x (/.f64 (log1p.f64 (*.f64 y z)) t))
2.7b
(-.f64 x (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 3))
7.3b
(-.f64 x (/.f64 (cbrt.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 3)) t))
13.0b
(-.f64 x (*.f64 (/.f64 y t) (expm1.f64 z)))
22.3b
(-.f64 x (pow.f64 (sqrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 2))
2.4b
(-.f64 x (*.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (/.f64 1 t)))
25.0b
(-.f64 x (/.f64 (pow.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 2) t))
2.7b
(-.f64 x (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 t) 2)) (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (cbrt.f64 t))))
Compiler

Compiled 283 to 199 computations (29.7% saved)

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.5b
(pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 2)
0.5b
(log1p.f64 (*.f64 y (expm1.f64 z)))
1.2b
(*.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)))
13.3b
(cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))

series61.0ms (0.5%)

Counts
3 → 68
Calls

21 calls:

TimeVariablePointExpression
28.0ms
z
@0
(cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))
5.0ms
z
@0
(pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 2)
4.0ms
t
@inf
(*.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)))
3.0ms
y
@-inf
(pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 2)
3.0ms
y
@-inf
(cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))

rewrite64.0ms (0.5%)

Algorithm
batch-egg-rewrite
Rules
618×log-prod_binary64
219×expm1-udef_binary64
219×log1p-udef_binary64
207×prod-diff_binary64
195×log-pow_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01437
127934
2315334
Stop Event
node limit
Counts
3 → 70
Calls
Call 1
Inputs
(cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))
(*.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)))
(pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 2)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))))) (cbrt.f64 (exp.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))))))) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) 2) (cbrt.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 1/6) (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 1/6) (*.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 1/6) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 4))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 1/3) (pow.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.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)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (fma.f64 y (expm1.f64 z) 1) (/.f64 1 t))) (cbrt.f64 (pow.f64 (fma.f64 y (expm1.f64 z) 1) (/.f64 1 t))))) (log.f64 (cbrt.f64 (pow.f64 (fma.f64 y (expm1.f64 z) 1) (/.f64 1 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (fma.f64 y (expm1.f64 z) 1) (/.f64 1 t)))) (log.f64 (sqrt.f64 (pow.f64 (fma.f64 y (expm1.f64 z) 1) (/.f64 1 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) -1) (neg.f64 t))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (fma.f64 y (expm1.f64 z) 1) (/.f64 1 t)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 3) (/.f64 (pow.f64 t -2) t)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 2) (pow.f64 (/.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) t) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) t) 3) (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 2)))))) (#(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 expm1.f64 (log1p.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 2))) (cbrt.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 2))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (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) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) 2) (*.f64 (cbrt.f64 (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 (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 4)) (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 1/6) (*.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 1/6) (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) 2)) (cbrt.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2/3 (log.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2/3 (log.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 2)))))))

simplify102.0ms (0.8%)

Algorithm
egg-herbie
Rules
986×fma-def_binary64
668×times-frac_binary64
164×associate-*r*_binary64
155×*-commutative_binary64
141×associate-*l*_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02644307
18053880
228843851
Stop Event
node limit
Counts
138 → 140
Calls
Call 1
Inputs
(pow.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) 1/3)
(+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) 2)) 1/9) (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y)))) (pow.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) 1/3))
(+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) 2)) 1/9) (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y)))) (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) 2)) 1/3) (/.f64 (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 (-.f64 (exp.f64 z) 1) 2))) (*.f64 1/3 (*.f64 (/.f64 1 (pow.f64 (-.f64 (exp.f64 z) 1) 2)) (pow.f64 (/.f64 1 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y))))) 1/9)))) (pow.f64 y 2)))) (pow.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) 1/3)))
(+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) 2)) 1/9) (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y)))) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (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 (pow.f64 (-.f64 (exp.f64 z) 1) 3))) (+.f64 (*.f64 1/27 (*.f64 (/.f64 1 (pow.f64 (-.f64 (exp.f64 z) 1) 3)) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) 2)) 1/3))) (*.f64 -2/3 (*.f64 (/.f64 (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 (-.f64 (exp.f64 z) 1) 2))) (*.f64 1/3 (*.f64 (/.f64 1 (pow.f64 (-.f64 (exp.f64 z) 1) 2)) (pow.f64 (/.f64 1 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y))))) 1/9)))) (-.f64 (exp.f64 z) 1)) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) 5)) 1/9))))) (pow.f64 y 3)))) (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) 2)) 1/3) (/.f64 (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 (-.f64 (exp.f64 z) 1) 2))) (*.f64 1/3 (*.f64 (/.f64 1 (pow.f64 (-.f64 (exp.f64 z) 1) 2)) (pow.f64 (/.f64 1 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y))))) 1/9)))) (pow.f64 y 2)))) (pow.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) 1/3))))
(pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1)))) 1/3)
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(pow.f64 (pow.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) 2) 1/3)
(pow.f64 (pow.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) 2) 1/3)
(pow.f64 (pow.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) 2) 1/3)
(pow.f64 (pow.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) 2) 1/3)
(pow.f64 (pow.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) 2) 1/3)
(pow.f64 (pow.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) 2) 1/3)
(pow.f64 (pow.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) 2) 1/3)
(pow.f64 (pow.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) 2) 1/3)
Outputs
(pow.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) 1/3)
(cbrt.f64 (+.f64 (log.f64 (expm1.f64 z)) (neg.f64 (neg.f64 (log.f64 y)))))
(cbrt.f64 (+.f64 (log.f64 (expm1.f64 z)) (log.f64 y)))
(+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) 2)) 1/9) (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y)))) (pow.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) 1/3))
(fma.f64 1/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (log.f64 (expm1.f64 z)) (neg.f64 (neg.f64 (log.f64 y)))) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (log.f64 (expm1.f64 z)) (neg.f64 (neg.f64 (log.f64 y)))) 2)) 1/18)) (/.f64 1 (*.f64 (expm1.f64 z) y))) (cbrt.f64 (+.f64 (log.f64 (expm1.f64 z)) (neg.f64 (neg.f64 (log.f64 y))))))
(fma.f64 1/3 (/.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (log.f64 (expm1.f64 z)) (log.f64 y)) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (log.f64 (expm1.f64 z)) (log.f64 y)) 2)) 1/18)) (*.f64 (expm1.f64 z) y)) (cbrt.f64 (+.f64 (log.f64 (expm1.f64 z)) (log.f64 y))))
(fma.f64 1/3 (*.f64 (/.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (log.f64 (expm1.f64 z)) (log.f64 y)) 2)) 1/18) (expm1.f64 z)) (/.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (log.f64 (expm1.f64 z)) (log.f64 y)) 2)) 1/18) y)) (cbrt.f64 (+.f64 (log.f64 (expm1.f64 z)) (log.f64 y))))
(+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) 2)) 1/9) (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y)))) (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) 2)) 1/3) (/.f64 (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 (-.f64 (exp.f64 z) 1) 2))) (*.f64 1/3 (*.f64 (/.f64 1 (pow.f64 (-.f64 (exp.f64 z) 1) 2)) (pow.f64 (/.f64 1 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y))))) 1/9)))) (pow.f64 y 2)))) (pow.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) 1/3)))
(fma.f64 1/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (log.f64 (expm1.f64 z)) (neg.f64 (neg.f64 (log.f64 y)))) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (log.f64 (expm1.f64 z)) (neg.f64 (neg.f64 (log.f64 y)))) 2)) 1/18)) (/.f64 1 (*.f64 (expm1.f64 z) y))) (fma.f64 -1/3 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 (log.f64 (expm1.f64 z)) (neg.f64 (neg.f64 (log.f64 y)))) 2))) (/.f64 (+.f64 (/.f64 1/2 (pow.f64 (expm1.f64 z) 2)) (*.f64 1/3 (*.f64 (/.f64 1 (pow.f64 (expm1.f64 z) 2)) (*.f64 (pow.f64 (/.f64 1 (+.f64 (log.f64 (expm1.f64 z)) (neg.f64 (neg.f64 (log.f64 y))))) 1/18) (pow.f64 (/.f64 1 (+.f64 (log.f64 (expm1.f64 z)) (neg.f64 (neg.f64 (log.f64 y))))) 1/18))))) (*.f64 y y))) (cbrt.f64 (+.f64 (log.f64 (expm1.f64 z)) (neg.f64 (neg.f64 (log.f64 y)))))))
(fma.f64 1/3 (/.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (log.f64 (expm1.f64 z)) (log.f64 y)) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (log.f64 (expm1.f64 z)) (log.f64 y)) 2)) 1/18)) (*.f64 (expm1.f64 z) y)) (fma.f64 -1/3 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 (log.f64 (expm1.f64 z)) (log.f64 y)) 2))) (/.f64 (fma.f64 1/3 (/.f64 (*.f64 (pow.f64 (/.f64 1 (+.f64 (log.f64 (expm1.f64 z)) (log.f64 y))) 1/18) (pow.f64 (/.f64 1 (+.f64 (log.f64 (expm1.f64 z)) (log.f64 y))) 1/18)) (pow.f64 (expm1.f64 z) 2)) (/.f64 1/2 (pow.f64 (expm1.f64 z) 2))) (*.f64 y y))) (cbrt.f64 (+.f64 (log.f64 (expm1.f64 z)) (log.f64 y)))))
(fma.f64 1/3 (*.f64 (/.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (log.f64 (expm1.f64 z)) (log.f64 y)) 2)) 1/18) (expm1.f64 z)) (/.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (log.f64 (expm1.f64 z)) (log.f64 y)) 2)) 1/18) y)) (fma.f64 -1/3 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 (log.f64 (expm1.f64 z)) (log.f64 y)) 2))) (/.f64 (fma.f64 1/3 (/.f64 (*.f64 (pow.f64 (/.f64 1 (+.f64 (log.f64 (expm1.f64 z)) (log.f64 y))) 1/18) (pow.f64 (/.f64 1 (+.f64 (log.f64 (expm1.f64 z)) (log.f64 y))) 1/18)) (pow.f64 (expm1.f64 z) 2)) (/.f64 1/2 (pow.f64 (expm1.f64 z) 2))) (*.f64 y y))) (cbrt.f64 (+.f64 (log.f64 (expm1.f64 z)) (log.f64 y)))))
(+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) 2)) 1/9) (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y)))) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (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 (pow.f64 (-.f64 (exp.f64 z) 1) 3))) (+.f64 (*.f64 1/27 (*.f64 (/.f64 1 (pow.f64 (-.f64 (exp.f64 z) 1) 3)) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) 2)) 1/3))) (*.f64 -2/3 (*.f64 (/.f64 (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 (-.f64 (exp.f64 z) 1) 2))) (*.f64 1/3 (*.f64 (/.f64 1 (pow.f64 (-.f64 (exp.f64 z) 1) 2)) (pow.f64 (/.f64 1 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y))))) 1/9)))) (-.f64 (exp.f64 z) 1)) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) 5)) 1/9))))) (pow.f64 y 3)))) (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) 2)) 1/3) (/.f64 (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 (-.f64 (exp.f64 z) 1) 2))) (*.f64 1/3 (*.f64 (/.f64 1 (pow.f64 (-.f64 (exp.f64 z) 1) 2)) (pow.f64 (/.f64 1 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y))))) 1/9)))) (pow.f64 y 2)))) (pow.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) 1/3))))
(fma.f64 1/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (log.f64 (expm1.f64 z)) (neg.f64 (neg.f64 (log.f64 y)))) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (log.f64 (expm1.f64 z)) (neg.f64 (neg.f64 (log.f64 y)))) 2)) 1/18)) (/.f64 1 (*.f64 (expm1.f64 z) y))) (fma.f64 1/3 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 (log.f64 (expm1.f64 z)) (neg.f64 (neg.f64 (log.f64 y)))) 2))) (/.f64 (-.f64 (/.f64 1/3 (pow.f64 (expm1.f64 z) 3)) (fma.f64 1/27 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 (log.f64 (expm1.f64 z)) (neg.f64 (neg.f64 (log.f64 y)))) 2))) (/.f64 1 (pow.f64 (expm1.f64 z) 3))) (*.f64 -2/3 (*.f64 (/.f64 (+.f64 (/.f64 1/2 (pow.f64 (expm1.f64 z) 2)) (*.f64 1/3 (*.f64 (/.f64 1 (pow.f64 (expm1.f64 z) 2)) (*.f64 (pow.f64 (/.f64 1 (+.f64 (log.f64 (expm1.f64 z)) (neg.f64 (neg.f64 (log.f64 y))))) 1/18) (pow.f64 (/.f64 1 (+.f64 (log.f64 (expm1.f64 z)) (neg.f64 (neg.f64 (log.f64 y))))) 1/18))))) (expm1.f64 z)) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (log.f64 (expm1.f64 z)) (neg.f64 (neg.f64 (log.f64 y)))) 5)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (log.f64 (expm1.f64 z)) (neg.f64 (neg.f64 (log.f64 y)))) 5)) 1/18)))))) (pow.f64 y 3))) (fma.f64 -1/3 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 (log.f64 (expm1.f64 z)) (neg.f64 (neg.f64 (log.f64 y)))) 2))) (/.f64 (+.f64 (/.f64 1/2 (pow.f64 (expm1.f64 z) 2)) (*.f64 1/3 (*.f64 (/.f64 1 (pow.f64 (expm1.f64 z) 2)) (*.f64 (pow.f64 (/.f64 1 (+.f64 (log.f64 (expm1.f64 z)) (neg.f64 (neg.f64 (log.f64 y))))) 1/18) (pow.f64 (/.f64 1 (+.f64 (log.f64 (expm1.f64 z)) (neg.f64 (neg.f64 (log.f64 y))))) 1/18))))) (*.f64 y y))) (cbrt.f64 (+.f64 (log.f64 (expm1.f64 z)) (neg.f64 (neg.f64 (log.f64 y))))))))
(fma.f64 1/3 (/.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (log.f64 (expm1.f64 z)) (log.f64 y)) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (log.f64 (expm1.f64 z)) (log.f64 y)) 2)) 1/18)) (*.f64 (expm1.f64 z) y)) (fma.f64 1/3 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 (log.f64 (expm1.f64 z)) (log.f64 y)) 2))) (/.f64 (-.f64 (/.f64 1/3 (pow.f64 (expm1.f64 z) 3)) (fma.f64 1/27 (/.f64 (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 (log.f64 (expm1.f64 z)) (log.f64 y)) 2))) (pow.f64 (expm1.f64 z) 3)) (*.f64 -2/3 (/.f64 (fma.f64 1/3 (/.f64 (*.f64 (pow.f64 (/.f64 1 (+.f64 (log.f64 (expm1.f64 z)) (log.f64 y))) 1/18) (pow.f64 (/.f64 1 (+.f64 (log.f64 (expm1.f64 z)) (log.f64 y))) 1/18)) (pow.f64 (expm1.f64 z) 2)) (/.f64 1/2 (pow.f64 (expm1.f64 z) 2))) (/.f64 (expm1.f64 z) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (log.f64 (expm1.f64 z)) (log.f64 y)) 5)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (log.f64 (expm1.f64 z)) (log.f64 y)) 5)) 1/18))))))) (pow.f64 y 3))) (fma.f64 -1/3 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 (log.f64 (expm1.f64 z)) (log.f64 y)) 2))) (/.f64 (fma.f64 1/3 (/.f64 (*.f64 (pow.f64 (/.f64 1 (+.f64 (log.f64 (expm1.f64 z)) (log.f64 y))) 1/18) (pow.f64 (/.f64 1 (+.f64 (log.f64 (expm1.f64 z)) (log.f64 y))) 1/18)) (pow.f64 (expm1.f64 z) 2)) (/.f64 1/2 (pow.f64 (expm1.f64 z) 2))) (*.f64 y y))) (cbrt.f64 (+.f64 (log.f64 (expm1.f64 z)) (log.f64 y))))))
(fma.f64 1/3 (+.f64 (*.f64 (/.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (log.f64 (expm1.f64 z)) (log.f64 y)) 2)) 1/18) (expm1.f64 z)) (/.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (log.f64 (expm1.f64 z)) (log.f64 y)) 2)) 1/18) y)) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 (log.f64 (expm1.f64 z)) (log.f64 y)) 2))) (/.f64 (-.f64 (/.f64 1/3 (pow.f64 (expm1.f64 z) 3)) (fma.f64 (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 (log.f64 (expm1.f64 z)) (log.f64 y)) 2))) (/.f64 1/27 (pow.f64 (expm1.f64 z) 3)) (*.f64 -2/3 (/.f64 (fma.f64 1/3 (/.f64 (*.f64 (pow.f64 (/.f64 1 (+.f64 (log.f64 (expm1.f64 z)) (log.f64 y))) 1/18) (pow.f64 (/.f64 1 (+.f64 (log.f64 (expm1.f64 z)) (log.f64 y))) 1/18)) (pow.f64 (expm1.f64 z) 2)) (/.f64 1/2 (pow.f64 (expm1.f64 z) 2))) (/.f64 (expm1.f64 z) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (log.f64 (expm1.f64 z)) (log.f64 y)) 5)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (log.f64 (expm1.f64 z)) (log.f64 y)) 5)) 1/18))))))) (pow.f64 y 3)))) (fma.f64 -1/3 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 (log.f64 (expm1.f64 z)) (log.f64 y)) 2))) (/.f64 (fma.f64 1/3 (/.f64 (*.f64 (pow.f64 (/.f64 1 (+.f64 (log.f64 (expm1.f64 z)) (log.f64 y))) 1/18) (pow.f64 (/.f64 1 (+.f64 (log.f64 (expm1.f64 z)) (log.f64 y))) 1/18)) (pow.f64 (expm1.f64 z) 2)) (/.f64 1/2 (pow.f64 (expm1.f64 z) 2))) (*.f64 y y))) (cbrt.f64 (+.f64 (log.f64 (expm1.f64 z)) (log.f64 y)))))
(pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1)))) 1/3)
(cbrt.f64 (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 (neg.f64 (expm1.f64 z)))))
(cbrt.f64 (-.f64 (log.f64 (neg.f64 (expm1.f64 z))) (log.f64 (/.f64 -1 y))))
(+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1)))) 2)) 1/9) (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y)))) (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1)))) 1/3))
(fma.f64 1/3 (*.f64 (/.f64 1 (*.f64 (expm1.f64 z) y)) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 (neg.f64 (expm1.f64 z)))) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 (neg.f64 (expm1.f64 z)))) 2)) 1/18))) (cbrt.f64 (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 (neg.f64 (expm1.f64 z))))))
(fma.f64 1/3 (/.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 (log.f64 (neg.f64 (expm1.f64 z))) (log.f64 (/.f64 -1 y))) 2)) 1/18) (pow.f64 (/.f64 1 (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 (log.f64 (neg.f64 (expm1.f64 z))) (log.f64 (/.f64 -1 y)))))
(fma.f64 1/3 (*.f64 (/.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 (log.f64 (neg.f64 (expm1.f64 z))) (log.f64 (/.f64 -1 y))) 2)) 1/18) (expm1.f64 z)) (/.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 (log.f64 (neg.f64 (expm1.f64 z))) (log.f64 (/.f64 -1 y))) 2)) 1/18) y)) (cbrt.f64 (-.f64 (log.f64 (neg.f64 (expm1.f64 z))) (log.f64 (/.f64 -1 y)))))
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(pow.f64 (pow.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) 2) 1/3)
(cbrt.f64 (pow.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) 2))
(pow.f64 (pow.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) 2) 1/3)
(cbrt.f64 (pow.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) 2))
(pow.f64 (pow.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) 2) 1/3)
(cbrt.f64 (pow.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) 2))

eval269.0ms (2.1%)

Compiler

Compiled 13125 to 7502 computations (42.8% saved)

prune1.0s (7.8%)

Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New2842286
Fresh257
Picked011
Done011
Total2869295
Error
0.2b
Counts
295 → 9
Alt Table
Click to see full alt table
StatusErrorProgram
2.6b
(-.f64 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))))
14.5b
(-.f64 x (/.f64 (log1p.f64 (*.f64 y z)) t))
13.0b
(-.f64 x (*.f64 (/.f64 y t) (expm1.f64 z)))
22.3b
(-.f64 x (pow.f64 (sqrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 2))
12.5b
(-.f64 x (/.f64 (expm1.f64 z) (/.f64 t y)))
2.7b
(-.f64 x (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 t) 2)) (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (cbrt.f64 t))))
7.3b
(-.f64 x (/.f64 (cbrt.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 3)) t))
2.4b
(-.f64 x (*.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (/.f64 1 t)))
5.7b
(-.f64 x (*.f64 (cbrt.f64 (pow.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) 2)) (*.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (/.f64 1 t))))
Compiler

Compiled 268 to 188 computations (29.9% saved)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.5b
(pow.f64 (cbrt.f64 t) 2)
0.6b
(cbrt.f64 t)
2.2b
(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (cbrt.f64 t))
3.2b
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 t) 2)) (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (cbrt.f64 t)))

series44.0ms (0.3%)

Counts
4 → 60
Calls

24 calls:

TimeVariablePointExpression
25.0ms
z
@-inf
(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (cbrt.f64 t))
3.0ms
t
@-inf
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 t) 2)) (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (cbrt.f64 t)))
2.0ms
z
@inf
(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (cbrt.f64 t))
1.0ms
t
@-inf
(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (cbrt.f64 t))
1.0ms
t
@0
(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (cbrt.f64 t))

rewrite62.0ms (0.5%)

Algorithm
batch-egg-rewrite
Rules
243×prod-diff_binary64
228×expm1-udef_binary64
228×log1p-udef_binary64
205×log-pow_binary64
135×add-sqr-sqrt_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01433
128833
2349733
Stop Event
node limit
Counts
4 → 133
Calls
Call 1
Inputs
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 t) 2)) (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (cbrt.f64 t)))
(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (cbrt.f64 t))
(cbrt.f64 t)
(pow.f64 (cbrt.f64 t) 2)
Outputs
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z))) t)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (/.f64 (pow.f64 (cbrt.f64 t) 2) (/.f64 1 (cbrt.f64 t))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (cbrt.f64 t)) (pow.f64 (cbrt.f64 t) 2))))) (#(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 (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (cbrt.f64 t))) 2) (/.f64 (pow.f64 (cbrt.f64 t) 2) (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (cbrt.f64 t)))))))) (#(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 (sqrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (cbrt.f64 t))) (/.f64 (pow.f64 (cbrt.f64 t) 2) (sqrt.f64 (/.f64 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(#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 1) t)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (cbrt.f64 t)) (cbrt.f64 t)) (cbrt.f64 t))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (cbrt.f64 t)) 1) (pow.f64 (cbrt.f64 t) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (cbrt.f64 t)) (cbrt.f64 (*.f64 t (cbrt.f64 t)))) (pow.f64 (cbrt.f64 (cbrt.f64 t)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (pow.f64 (cbrt.f64 t) -2) (log1p.f64 (*.f64 y (expm1.f64 z)))) 1) (cbrt.f64 t))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (pow.f64 (cbrt.f64 t) -2) (log1p.f64 (*.f64 y (expm1.f64 z)))) (pow.f64 (cbrt.f64 (cbrt.f64 t)) 2)) (cbrt.f64 (cbrt.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (pow.f64 (cbrt.f64 t) -2) (log1p.f64 (*.f64 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simplify51.0ms (0.4%)

Algorithm
egg-herbie
Rules
964×fma-def_binary64
352×distribute-rgt-in_binary64
351×distribute-lft-in_binary64
328×times-frac_binary64
129×associate-*r*_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01691907
15141780
218311680
Stop Event
node limit
Counts
193 → 202
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 (*.f64 (-.f64 (exp.f64 z) 1) y) (pow.f64 (/.f64 1 t) 1/3))
(+.f64 (*.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) (pow.f64 (/.f64 1 t) 1/3)) (*.f64 -1/2 (*.f64 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (pow.f64 y 2)) (pow.f64 (/.f64 1 t) 1/3))))
(+.f64 (*.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) (pow.f64 (/.f64 1 t) 1/3)) (+.f64 (*.f64 1/3 (*.f64 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 3) (pow.f64 y 3)) (pow.f64 (/.f64 1 t) 1/3))) (*.f64 -1/2 (*.f64 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (pow.f64 y 2)) (pow.f64 (/.f64 1 t) 1/3)))))
(+.f64 (*.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) (pow.f64 (/.f64 1 t) 1/3)) (+.f64 (*.f64 -1/4 (*.f64 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 4) (pow.f64 y 4)) (pow.f64 (/.f64 1 t) 1/3))) (+.f64 (*.f64 1/3 (*.f64 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 3) (pow.f64 y 3)) (pow.f64 (/.f64 1 t) 1/3))) (*.f64 -1/2 (*.f64 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (pow.f64 y 2)) (pow.f64 (/.f64 1 t) 1/3))))))
(*.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) (pow.f64 (/.f64 1 t) 1/3))
(+.f64 (*.f64 (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y)) (pow.f64 (/.f64 1 t) 1/3)) (*.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) (pow.f64 (/.f64 1 t) 1/3)))
(+.f64 (*.f64 (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y)) (pow.f64 (/.f64 1 t) 1/3)) (+.f64 (*.f64 -1/2 (*.f64 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (pow.f64 y 2))) (pow.f64 (/.f64 1 t) 1/3))) (*.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) (pow.f64 (/.f64 1 t) 1/3))))
(+.f64 (*.f64 (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y)) (pow.f64 (/.f64 1 t) 1/3)) (+.f64 (*.f64 -1/2 (*.f64 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (pow.f64 y 2))) (pow.f64 (/.f64 1 t) 1/3))) (+.f64 (*.f64 1/3 (*.f64 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 3) (pow.f64 y 3))) (pow.f64 (/.f64 1 t) 1/3))) (*.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) (pow.f64 (/.f64 1 t) 1/3)))))
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1)))) (pow.f64 (/.f64 1 t) 1/3))
(+.f64 (*.f64 (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y)) (pow.f64 (/.f64 1 t) 1/3)) (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1)))) (pow.f64 (/.f64 1 t) 1/3)))
(+.f64 (*.f64 (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y)) (pow.f64 (/.f64 1 t) 1/3)) (+.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1)))) (pow.f64 (/.f64 1 t) 1/3)) (*.f64 -1/2 (*.f64 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (pow.f64 y 2))) (pow.f64 (/.f64 1 t) 1/3)))))
(+.f64 (*.f64 (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y)) (pow.f64 (/.f64 1 t) 1/3)) (+.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1)))) (pow.f64 (/.f64 1 t) 1/3)) (+.f64 (*.f64 -1/2 (*.f64 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (pow.f64 y 2))) (pow.f64 (/.f64 1 t) 1/3))) (*.f64 1/3 (*.f64 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 3) (pow.f64 y 3))) (pow.f64 (/.f64 1 t) 1/3))))))
(*.f64 (*.f64 y z) (pow.f64 (/.f64 1 t) 1/3))
(+.f64 (*.f64 (*.f64 y z) (pow.f64 (/.f64 1 t) 1/3)) (*.f64 1/2 (*.f64 (pow.f64 (/.f64 1 t) 1/3) (*.f64 (pow.f64 z 2) (+.f64 (*.f64 -1 (pow.f64 y 2)) y)))))
(+.f64 (*.f64 (*.f64 y z) (pow.f64 (/.f64 1 t) 1/3)) (+.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)) (pow.f64 (/.f64 1 t) 1/3))) (*.f64 1/2 (*.f64 (pow.f64 (/.f64 1 t) 1/3) (*.f64 (pow.f64 z 2) (+.f64 (*.f64 -1 (pow.f64 y 2)) y))))))
(+.f64 (*.f64 1/24 (*.f64 (*.f64 (+.f64 y (+.f64 (*.f64 -3 (pow.f64 y 2)) (+.f64 (*.f64 12 (pow.f64 y 3)) (+.f64 (*.f64 -4 (pow.f64 y 2)) (*.f64 -6 (pow.f64 y 4)))))) (pow.f64 z 4)) (pow.f64 (/.f64 1 t) 1/3))) (+.f64 (*.f64 (*.f64 y z) (pow.f64 (/.f64 1 t) 1/3)) (+.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)) (pow.f64 (/.f64 1 t) 1/3))) (*.f64 1/2 (*.f64 (pow.f64 (/.f64 1 t) 1/3) (*.f64 (pow.f64 z 2) (+.f64 (*.f64 -1 (pow.f64 y 2)) y)))))))
(*.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) (pow.f64 (/.f64 1 t) 1/3))
(*.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) (pow.f64 (/.f64 1 t) 1/3))
(*.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) (pow.f64 (/.f64 1 t) 1/3))
(*.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) (pow.f64 (/.f64 1 t) 1/3))
(*.f64 (pow.f64 (/.f64 1 t) 1/3) (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))))
(*.f64 (pow.f64 (/.f64 1 t) 1/3) (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))))
(*.f64 (pow.f64 (/.f64 1 t) 1/3) (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))))
(*.f64 (pow.f64 (/.f64 1 t) 1/3) (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))))
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 (expm1.f64 z) 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 (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 (pow.f64 (expm1.f64 z) 2) t) (*.f64 y y)) (/.f64 (*.f64 (expm1.f64 z) y) 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 (/.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) y) 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 (/.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) y) 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 1 (*.f64 y (*.f64 (expm1.f64 z) t))) (+.f64 (/.f64 (log.f64 (expm1.f64 z)) t) (/.f64 (log.f64 y) t)))
(+.f64 (/.f64 1 (*.f64 (*.f64 (expm1.f64 z) y) t)) (/.f64 (+.f64 (log.f64 (expm1.f64 z)) (log.f64 y)) t))
(-.f64 (+.f64 (/.f64 (log.f64 (-.f64 (exp.f64 z) 1)) t) (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 y)) t)) (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) (*.f64 y t))))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (*.f64 (pow.f64 y 2) t)))))
(+.f64 (/.f64 (log.f64 (expm1.f64 z)) t) (-.f64 (fma.f64 -1 (/.f64 (neg.f64 (log.f64 y)) t) (/.f64 1 (*.f64 (expm1.f64 z) (*.f64 y t)))) (/.f64 1/2 (*.f64 (pow.f64 (expm1.f64 z) 2) (*.f64 t (*.f64 y y))))))
(+.f64 (/.f64 (log.f64 (expm1.f64 z)) t) (+.f64 (/.f64 (log.f64 y) t) (-.f64 (/.f64 1 (*.f64 y (*.f64 (expm1.f64 z) t))) (/.f64 1/2 (*.f64 t (*.f64 (pow.f64 (expm1.f64 z) 2) (*.f64 y y)))))))
(+.f64 (+.f64 (/.f64 1 (*.f64 (*.f64 (expm1.f64 z) y) t)) (/.f64 (+.f64 (log.f64 (expm1.f64 z)) (log.f64 y)) t)) (/.f64 -1/2 (*.f64 t (*.f64 y (*.f64 y (pow.f64 (expm1.f64 z) 2))))))
(-.f64 (+.f64 (/.f64 (log.f64 (-.f64 (exp.f64 z) 1)) t) (+.f64 (*.f64 1/3 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 3) (*.f64 (pow.f64 y 3) t)))) (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 y)) t)) (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) (*.f64 y t)))))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (*.f64 (pow.f64 y 2) t)))))
(+.f64 (/.f64 (log.f64 (expm1.f64 z)) t) (-.f64 (+.f64 (fma.f64 -1 (/.f64 (neg.f64 (log.f64 y)) t) (/.f64 1 (*.f64 (expm1.f64 z) (*.f64 y t)))) (/.f64 1/3 (*.f64 (pow.f64 (expm1.f64 z) 3) (*.f64 t (pow.f64 y 3))))) (/.f64 1/2 (*.f64 (pow.f64 (expm1.f64 z) 2) (*.f64 t (*.f64 y y))))))
(+.f64 (/.f64 (log.f64 (expm1.f64 z)) t) (+.f64 (+.f64 (/.f64 (log.f64 y) t) (/.f64 1 (*.f64 y (*.f64 (expm1.f64 z) t)))) (-.f64 (/.f64 1/3 (*.f64 t (*.f64 (pow.f64 (expm1.f64 z) 3) (pow.f64 y 3)))) (/.f64 1/2 (*.f64 t (*.f64 (pow.f64 (expm1.f64 z) 2) (*.f64 y y)))))))
(+.f64 (+.f64 (+.f64 (/.f64 1 (*.f64 (*.f64 (expm1.f64 z) y) t)) (/.f64 (+.f64 (log.f64 (expm1.f64 z)) (log.f64 y)) t)) (/.f64 1/3 (*.f64 t (*.f64 (pow.f64 (expm1.f64 z) 3) (pow.f64 y 3))))) (/.f64 -1/2 (*.f64 t (*.f64 y (*.f64 y (pow.f64 (expm1.f64 z) 2))))))
(/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1)))) t)
(/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 (neg.f64 (expm1.f64 z)))) t)
(/.f64 (-.f64 (log.f64 (neg.f64 (expm1.f64 z))) (log.f64 (/.f64 -1 y))) t)
(+.f64 (/.f64 (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1))) t) (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 y)) t)) (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) (*.f64 y t)))))
(+.f64 (/.f64 (log.f64 (neg.f64 (expm1.f64 z))) t) (fma.f64 -1 (/.f64 (log.f64 (/.f64 -1 y)) t) (/.f64 1 (*.f64 (expm1.f64 z) (*.f64 y t)))))
(+.f64 (/.f64 1 (*.f64 y (*.f64 (expm1.f64 z) t))) (-.f64 (/.f64 (log.f64 (neg.f64 (expm1.f64 z))) t) (/.f64 (log.f64 (/.f64 -1 y)) t)))
(+.f64 (/.f64 1 (*.f64 (*.f64 (expm1.f64 z) y) t)) (/.f64 (-.f64 (log.f64 (neg.f64 (expm1.f64 z))) (log.f64 (/.f64 -1 y))) t))
(-.f64 (+.f64 (/.f64 (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1))) t) (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 y)) t)) (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) (*.f64 y t))))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (*.f64 (pow.f64 y 2) t)))))
(+.f64 (/.f64 (log.f64 (neg.f64 (expm1.f64 z))) t) (-.f64 (fma.f64 -1 (/.f64 (log.f64 (/.f64 -1 y)) t) (/.f64 1 (*.f64 (expm1.f64 z) (*.f64 y t)))) (/.f64 1/2 (*.f64 (pow.f64 (expm1.f64 z) 2) (*.f64 t (*.f64 y y))))))
(+.f64 (/.f64 (log.f64 (neg.f64 (expm1.f64 z))) t) (+.f64 (-.f64 (/.f64 1 (*.f64 y (*.f64 (expm1.f64 z) t))) (/.f64 (log.f64 (/.f64 -1 y)) t)) (/.f64 -1/2 (*.f64 t (*.f64 (pow.f64 (expm1.f64 z) 2) (*.f64 y y))))))
(+.f64 (+.f64 (/.f64 1 (*.f64 (*.f64 (expm1.f64 z) y) t)) (/.f64 (-.f64 (log.f64 (neg.f64 (expm1.f64 z))) (log.f64 (/.f64 -1 y))) t)) (/.f64 -1/2 (*.f64 t (*.f64 y (*.f64 y (pow.f64 (expm1.f64 z) 2))))))
(-.f64 (+.f64 (/.f64 (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1))) t) (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 y)) t)) (+.f64 (*.f64 1/3 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 3) (*.f64 (pow.f64 y 3) t)))) (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) (*.f64 y t)))))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (*.f64 (pow.f64 y 2) t)))))
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(*.f64 (*.f64 z y) (cbrt.f64 (/.f64 1 t)))
(+.f64 (*.f64 (*.f64 y z) (pow.f64 (/.f64 1 t) 1/3)) (*.f64 1/2 (*.f64 (pow.f64 (/.f64 1 t) 1/3) (*.f64 (pow.f64 z 2) (+.f64 (*.f64 -1 (pow.f64 y 2)) y)))))
(fma.f64 (*.f64 z y) (cbrt.f64 (/.f64 1 t)) (*.f64 1/2 (*.f64 (*.f64 (fma.f64 -1 (*.f64 y y) y) (*.f64 z z)) (cbrt.f64 (/.f64 1 t)))))
(fma.f64 1/2 (*.f64 (*.f64 (-.f64 y (*.f64 y y)) (*.f64 z z)) (cbrt.f64 (/.f64 1 t))) (*.f64 y (*.f64 z (cbrt.f64 (/.f64 1 t)))))
(*.f64 (cbrt.f64 (/.f64 1 t)) (+.f64 (*.f64 z y) (*.f64 (*.f64 1/2 (*.f64 z z)) (-.f64 y (*.f64 y y)))))
(+.f64 (*.f64 (*.f64 y z) (pow.f64 (/.f64 1 t) 1/3)) (+.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)) (pow.f64 (/.f64 1 t) 1/3))) (*.f64 1/2 (*.f64 (pow.f64 (/.f64 1 t) 1/3) (*.f64 (pow.f64 z 2) (+.f64 (*.f64 -1 (pow.f64 y 2)) y))))))
(fma.f64 (*.f64 z y) (cbrt.f64 (/.f64 1 t)) (fma.f64 1/6 (*.f64 (+.f64 y (fma.f64 -3 (*.f64 y y) (*.f64 2 (pow.f64 y 3)))) (*.f64 (pow.f64 z 3) (cbrt.f64 (/.f64 1 t)))) (*.f64 1/2 (*.f64 (*.f64 (fma.f64 -1 (*.f64 y y) y) (*.f64 z z)) (cbrt.f64 (/.f64 1 t))))))
(+.f64 (*.f64 1/2 (*.f64 (*.f64 (-.f64 y (*.f64 y y)) (*.f64 z z)) (cbrt.f64 (/.f64 1 t)))) (*.f64 (cbrt.f64 (/.f64 1 t)) (+.f64 (*.f64 z y) (*.f64 (*.f64 1/6 (pow.f64 z 3)) (+.f64 y (fma.f64 2 (pow.f64 y 3) (*.f64 (*.f64 y y) -3)))))))
(*.f64 (cbrt.f64 (/.f64 1 t)) (+.f64 (*.f64 (*.f64 1/2 (*.f64 z z)) (-.f64 y (*.f64 y y))) (fma.f64 z y (*.f64 1/6 (*.f64 (fma.f64 y (*.f64 y -3) (fma.f64 2 (pow.f64 y 3) y)) (pow.f64 z 3))))))
(+.f64 (*.f64 1/24 (*.f64 (*.f64 (+.f64 y (+.f64 (*.f64 -3 (pow.f64 y 2)) (+.f64 (*.f64 12 (pow.f64 y 3)) (+.f64 (*.f64 -4 (pow.f64 y 2)) (*.f64 -6 (pow.f64 y 4)))))) (pow.f64 z 4)) (pow.f64 (/.f64 1 t) 1/3))) (+.f64 (*.f64 (*.f64 y z) (pow.f64 (/.f64 1 t) 1/3)) (+.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)) (pow.f64 (/.f64 1 t) 1/3))) (*.f64 1/2 (*.f64 (pow.f64 (/.f64 1 t) 1/3) (*.f64 (pow.f64 z 2) (+.f64 (*.f64 -1 (pow.f64 y 2)) y)))))))
(fma.f64 1/24 (*.f64 (+.f64 y (fma.f64 -3 (*.f64 y y) (fma.f64 12 (pow.f64 y 3) (fma.f64 -4 (*.f64 y y) (*.f64 (pow.f64 y 4) -6))))) (*.f64 (pow.f64 z 4) (cbrt.f64 (/.f64 1 t)))) (fma.f64 (*.f64 z y) (cbrt.f64 (/.f64 1 t)) (fma.f64 1/6 (*.f64 (+.f64 y (fma.f64 -3 (*.f64 y y) (*.f64 2 (pow.f64 y 3)))) (*.f64 (pow.f64 z 3) (cbrt.f64 (/.f64 1 t)))) (*.f64 1/2 (*.f64 (*.f64 (fma.f64 -1 (*.f64 y y) y) (*.f64 z z)) (cbrt.f64 (/.f64 1 t)))))))
(fma.f64 1/24 (*.f64 (+.f64 y (fma.f64 (*.f64 y y) -3 (fma.f64 (pow.f64 y 3) 12 (fma.f64 (*.f64 y y) -4 (*.f64 (pow.f64 y 4) -6))))) (*.f64 (pow.f64 z 4) (cbrt.f64 (/.f64 1 t)))) (+.f64 (*.f64 1/2 (*.f64 (*.f64 (-.f64 y (*.f64 y y)) (*.f64 z z)) (cbrt.f64 (/.f64 1 t)))) (*.f64 (cbrt.f64 (/.f64 1 t)) (+.f64 (*.f64 z y) (*.f64 (*.f64 1/6 (pow.f64 z 3)) (+.f64 y (fma.f64 2 (pow.f64 y 3) (*.f64 (*.f64 y y) -3))))))))
(fma.f64 (cbrt.f64 (/.f64 1 t)) (fma.f64 1/24 (*.f64 (+.f64 (fma.f64 (pow.f64 y 4) -6 (*.f64 (*.f64 y y) (+.f64 -4 (*.f64 12 y)))) (fma.f64 y (*.f64 y -3) y)) (pow.f64 z 4)) (*.f64 z y)) (*.f64 (cbrt.f64 (/.f64 1 t)) (+.f64 (*.f64 (*.f64 1/2 (*.f64 z z)) (-.f64 y (*.f64 y y))) (*.f64 1/6 (*.f64 (fma.f64 y (*.f64 y -3) (fma.f64 2 (pow.f64 y 3) y)) (pow.f64 z 3))))))
(*.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) (pow.f64 (/.f64 1 t) 1/3))
(*.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (cbrt.f64 (/.f64 1 t)))
(*.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) (pow.f64 (/.f64 1 t) 1/3))
(*.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (cbrt.f64 (/.f64 1 t)))
(*.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) (pow.f64 (/.f64 1 t) 1/3))
(*.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (cbrt.f64 (/.f64 1 t)))
(*.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) (pow.f64 (/.f64 1 t) 1/3))
(*.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (cbrt.f64 (/.f64 1 t)))
(*.f64 (pow.f64 (/.f64 1 t) 1/3) (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))))
(*.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (cbrt.f64 (/.f64 1 t)))
(*.f64 (pow.f64 (/.f64 1 t) 1/3) (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))))
(*.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (cbrt.f64 (/.f64 1 t)))
(*.f64 (pow.f64 (/.f64 1 t) 1/3) (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))))
(*.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (cbrt.f64 (/.f64 1 t)))
(*.f64 (pow.f64 (/.f64 1 t) 1/3) (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))))
(*.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (cbrt.f64 (/.f64 1 t)))

eval84.0ms (0.6%)

Compiler

Compiled 5645 to 2889 computations (48.8% saved)

prune737.0ms (5.7%)

Pruning

9 alts after pruning (6 fresh and 3 done)

PrunedKeptTotal
New2250225
Fresh066
Picked011
Done022
Total2259234
Error
0.2b
Counts
234 → 9
Alt Table
Click to see full alt table
StatusErrorProgram
2.6b
(-.f64 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))))
14.5b
(-.f64 x (/.f64 (log1p.f64 (*.f64 y z)) t))
13.0b
(-.f64 x (*.f64 (/.f64 y t) (expm1.f64 z)))
22.3b
(-.f64 x (pow.f64 (sqrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 2))
12.5b
(-.f64 x (/.f64 (expm1.f64 z) (/.f64 t y)))
2.7b
(-.f64 x (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 t) 2)) (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (cbrt.f64 t))))
7.3b
(-.f64 x (/.f64 (cbrt.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 3)) t))
2.4b
(-.f64 x (*.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (/.f64 1 t)))
5.7b
(-.f64 x (*.f64 (cbrt.f64 (pow.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) 2)) (*.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (/.f64 1 t))))
Compiler

Compiled 154 to 107 computations (30.5% saved)

regimes91.0ms (0.7%)

Accuracy

Total -46.6b remaining (-8000.7%)

Threshold costs -46.6b (-8000.7%)

Counts
13 → 3
Calls
Call 1
Inputs
(-.f64 x (/.f64 (expm1.f64 z) (/.f64 t y)))
(-.f64 x (*.f64 (cbrt.f64 (pow.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) 2)) (*.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (/.f64 1 t))))
(-.f64 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))))
(-.f64 x (/.f64 (log1p.f64 (*.f64 y z)) t))
(-.f64 x (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 3))
(-.f64 x (/.f64 (cbrt.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 3)) t))
(-.f64 x (*.f64 (/.f64 y t) (expm1.f64 z)))
(-.f64 x (pow.f64 (sqrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 2))
(-.f64 x (*.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (/.f64 1 t)))
(-.f64 x (/.f64 (pow.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 2) t))
(-.f64 x (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 t) 2)) (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (cbrt.f64 t))))
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))
(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 1 y) (*.f64 y (exp.f64 z)))) t))
Outputs
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))
(-.f64 x (*.f64 (/.f64 y t) (expm1.f64 z)))
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))
Results
TimeErrorSegmentsBranch
8.0ms2.4b1x
21.0ms0.6b3y
8.0ms2.4b1z
8.0ms2.4b1t
16.0ms0.6b3(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 1 y) (*.f64 y (exp.f64 z)))) t))
8.0ms0.6b3(/.f64 (log.f64 (+.f64 (-.f64 1 y) (*.f64 y (exp.f64 z)))) t)
6.0ms0.6b3(log.f64 (+.f64 (-.f64 1 y) (*.f64 y (exp.f64 z))))
7.0ms0.6b3(+.f64 (-.f64 1 y) (*.f64 y (exp.f64 z)))
3.0ms2.4b1(exp.f64 z)
Compiler

Compiled 251 to 138 computations (45% saved)

bsearch204.0ms (1.6%)

Algorithm
binary-search
Steps
TimePointRange
119.0ms
4.804814284486173e-190
∈ [
4.804814284486173e-190
,
3.530977336840399e-187
]
85.0ms
-4.8098238803651976e+33
∈ [
-4.8098238803651976e+33
,
-4.2994118051458617e+33
]
Compiler

Compiled 24 to 18 computations (25% saved)

simplify4.0ms (0%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
02052
12952
24852
36052
46952
57252
Stop Event
saturated
Calls
Call 1
Inputs
(if (<=.f64 y -4809823880365197635195075360194560) (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) (if (<=.f64 y 2410314189729517/5016456510113118655434598811035278955030765345404790744303017523831112055108147451509157692220295382716162651878526895249385292291816524375083746691371804094271873160484737966720260389217684476157468082176) (-.f64 x (*.f64 (/.f64 y t) (expm1.f64 z))) (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))))
Outputs
(if (<=.f64 y -4809823880365197635195075360194560) (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) (if (<=.f64 y 2410314189729517/5016456510113118655434598811035278955030765345404790744303017523831112055108147451509157692220295382716162651878526895249385292291816524375083746691371804094271873160484737966720260389217684476157468082176) (-.f64 x (*.f64 (/.f64 y t) (expm1.f64 z))) (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))))
(if (<=.f64 y -4809823880365197635195075360194560) (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) (if (<=.f64 y 2410314189729517/5016456510113118655434598811035278955030765345404790744303017523831112055108147451509157692220295382716162651878526895249385292291816524375083746691371804094271873160484737966720260389217684476157468082176) (-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t))) (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))))

end21.0ms (0.2%)

Stop Event
fuel
Compiler

Compiled 76 to 36 computations (52.6% saved)

Profiling

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