Details

Time bar (total: 25.5s)

analyze706.0ms (2.8%)

Algorithm
1×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
Compiler

Compiled 18 to 13 computations (27.8% saved)

sample8.6s (33.8%)

Results
2.7s1592×body8192exit
2.0s4614×body256valid
1.7s1839×body1024valid
983.0ms1453×body512valid
592.0ms350×body2048valid
384.0ms2055×body256invalid
99.0ms212×body1024invalid
80.0ms235×body512invalid

preprocess134.0ms (0.5%)

Algorithm
2×egg-herbie
Rules
694×sub-neg_binary64
471×div-sub_binary64
471×fma-neg_binary64
400×fma-def_binary64
318×associate-/l*_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
046140
194126
2235119
3504119
4109798
5240698
6378298
7505198
8667198
9768498
044
Stop Event
1×saturated
1×node limit
Calls
Call 1
Inputs
0
1
2
3
Outputs
0
1
2
3
Call 2
Inputs
(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 1 y) (*.f64 y (exp.f64 z)))) t))
(-.f64 y (/.f64 (log.f64 (+.f64 (-.f64 1 x) (*.f64 x (exp.f64 z)))) t))
(-.f64 z (/.f64 (log.f64 (+.f64 (-.f64 1 y) (*.f64 y (exp.f64 x)))) t))
(-.f64 t (/.f64 (log.f64 (+.f64 (-.f64 1 y) (*.f64 y (exp.f64 z)))) x))
(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 1 z) (*.f64 z (exp.f64 y)))) t))
(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 1 t) (*.f64 t (exp.f64 z)))) y))
(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 1 y) (*.f64 y (exp.f64 t)))) z))
Outputs
(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 1 y) (*.f64 y (exp.f64 z)))) t))
(-.f64 x (/.f64 (log.f64 (fma.f64 y (exp.f64 z) (-.f64 1 y))) t))
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (+.f64 -1 (exp.f64 z)))) t))
(-.f64 x (/.f64 (log1p.f64 (-.f64 (*.f64 y (exp.f64 z)) y)) t))
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))
(-.f64 y (/.f64 (log.f64 (+.f64 (-.f64 1 x) (*.f64 x (exp.f64 z)))) t))
(-.f64 y (/.f64 (log.f64 (fma.f64 x (exp.f64 z) (-.f64 1 x))) t))
(-.f64 y (/.f64 (log1p.f64 (*.f64 x (+.f64 -1 (exp.f64 z)))) t))
(-.f64 y (/.f64 (log1p.f64 (-.f64 (*.f64 x (exp.f64 z)) x)) t))
(-.f64 y (/.f64 (log1p.f64 (*.f64 x (expm1.f64 z))) t))
(-.f64 z (/.f64 (log.f64 (+.f64 (-.f64 1 y) (*.f64 y (exp.f64 x)))) t))
(-.f64 z (/.f64 (log.f64 (fma.f64 y (exp.f64 x) (-.f64 1 y))) t))
(-.f64 z (/.f64 (log1p.f64 (*.f64 y (+.f64 -1 (exp.f64 x)))) t))
(-.f64 z (/.f64 (log1p.f64 (*.f64 y (+.f64 (exp.f64 x) -1))) t))
(-.f64 z (/.f64 (log1p.f64 (*.f64 y (expm1.f64 x))) t))
(-.f64 t (/.f64 (log.f64 (+.f64 (-.f64 1 y) (*.f64 y (exp.f64 z)))) x))
(-.f64 t (/.f64 (log.f64 (fma.f64 y (exp.f64 z) (-.f64 1 y))) x))
(-.f64 t (/.f64 (log1p.f64 (*.f64 y (+.f64 -1 (exp.f64 z)))) x))
(-.f64 t (/.f64 (log1p.f64 (-.f64 (*.f64 y (exp.f64 z)) y)) x))
(-.f64 t (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) x))
(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 1 z) (*.f64 z (exp.f64 y)))) t))
(-.f64 x (/.f64 (log.f64 (fma.f64 z (exp.f64 y) (-.f64 1 z))) t))
(-.f64 x (/.f64 (log1p.f64 (*.f64 z (+.f64 -1 (exp.f64 y)))) t))
(-.f64 x (/.f64 (log1p.f64 (fma.f64 z (exp.f64 y) (neg.f64 z))) t))
(-.f64 x (/.f64 (log1p.f64 (*.f64 z (expm1.f64 y))) t))
(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 1 t) (*.f64 t (exp.f64 z)))) y))
(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 1 t) (*.f64 (exp.f64 z) t))) y))
(-.f64 x (/.f64 (log.f64 (fma.f64 (exp.f64 z) t (-.f64 1 t))) y))
(-.f64 x (/.f64 (log1p.f64 (*.f64 t (+.f64 -1 (exp.f64 z)))) y))
(-.f64 x (/.f64 (log1p.f64 (-.f64 (*.f64 (exp.f64 z) t) t)) y))
(-.f64 x (/.f64 (log1p.f64 (*.f64 t (expm1.f64 z))) y))
(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 1 y) (*.f64 y (exp.f64 t)))) z))
(-.f64 x (/.f64 (log.f64 (fma.f64 y (exp.f64 t) (-.f64 1 y))) z))
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (+.f64 -1 (exp.f64 t)))) z))
(-.f64 x (/.f64 (log1p.f64 (-.f64 (*.f64 y (exp.f64 t)) y)) z))
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 t))) z))
Compiler

Compiled 21 to 16 computations (23.8% saved)

simplify180.0ms (0.7%)

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

Useful iterations: 4 (0.0ms)

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

eval1.0ms (0%)

Compiler

Compiled 26 to 17 computations (34.6% saved)

prune1.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New112
Fresh101
Picked000
Done000
Total213
Error
2.2b
Counts
3 → 1
Alt Table
Click to see full alt table
StatusErrorProgram
▶2.2b
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))
Compiler

Compiled 13 to 9 computations (30.8% saved)

localize148.0ms (0.6%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(*.f64 y (expm1.f64 z))
✓0.3b
(log1p.f64 (*.f64 y (expm1.f64 z)))
✓4.6b
(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)
Compiler

Compiled 35 to 9 computations (74.3% saved)

series188.0ms (0.7%)

Counts
3 → 84
Calls

21 calls:

TimeVariablePointExpression
81.0ms
z
@-inf
(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)
69.0ms
z
@inf
(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)
15.0ms
t
@0
(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)
11.0ms
t
@inf
(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)
1.0ms
y
@0
(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)

rewrite191.0ms (0.7%)

Algorithm
1×batch-egg-rewrite
Rules
798×pow1_binary64
732×add-log-exp_binary64
732×expm1-log1p-u_binary64
731×log1p-expm1-u_binary64
714×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0825
115925
2198025
Stop Event
1×node limit
Counts
3 → 59
Calls
Call 1
Inputs
(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)
(log1p.f64 (*.f64 y (expm1.f64 z)))
(*.f64 y (expm1.f64 z))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.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 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 expm1.f64 (log1p.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (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 expm1.f64 (log1p.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.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 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 expm1.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 y (expm1.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 y (expm1.f64 z))))))))

simplify108.0ms (0.4%)

Algorithm
1×egg-herbie
Rules
814×fma-def_binary64
545×associate-*l*_binary64
518×associate-*r*_binary64
447×associate-+l+_binary64
330×associate-/r*_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01731745
15241686
217311658
Stop Event
1×node limit
Counts
143 → 133
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)
Outputs
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (expm1.f64 z) (/.f64 t y))
(*.f64 y (/.f64 (expm1.f64 z) t))
(+.f64 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t) (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (pow.f64 y 2)) t)))
(+.f64 (/.f64 (expm1.f64 z) (/.f64 t y)) (*.f64 -1/2 (/.f64 (pow.f64 (expm1.f64 z) 2) (/.f64 t (*.f64 y y)))))
(fma.f64 -1/2 (/.f64 (pow.f64 (expm1.f64 z) 2) (/.f64 t (*.f64 y y))) (/.f64 (expm1.f64 z) (/.f64 t y)))
(fma.f64 -1/2 (*.f64 (*.f64 y y) (/.f64 (pow.f64 (expm1.f64 z) 2) t)) (*.f64 y (/.f64 (expm1.f64 z) t)))
(+.f64 (*.f64 1/3 (/.f64 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 3) (pow.f64 y 3)) t)) (+.f64 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t) (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (pow.f64 y 2)) t))))
(fma.f64 1/3 (/.f64 (pow.f64 (expm1.f64 z) 3) (/.f64 t (pow.f64 y 3))) (+.f64 (/.f64 (expm1.f64 z) (/.f64 t y)) (*.f64 -1/2 (/.f64 (pow.f64 (expm1.f64 z) 2) (/.f64 t (*.f64 y y))))))
(fma.f64 1/3 (*.f64 (/.f64 (pow.f64 (expm1.f64 z) 3) t) (pow.f64 y 3)) (fma.f64 -1/2 (/.f64 (pow.f64 (expm1.f64 z) 2) (/.f64 t (*.f64 y y))) (/.f64 (expm1.f64 z) (/.f64 t y))))
(fma.f64 -1/2 (*.f64 (*.f64 y y) (/.f64 (pow.f64 (expm1.f64 z) 2) t)) (fma.f64 1/3 (*.f64 (pow.f64 y 3) (/.f64 (pow.f64 (expm1.f64 z) 3) t)) (*.f64 y (/.f64 (expm1.f64 z) t))))
(+.f64 (*.f64 -1/4 (/.f64 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 4) (pow.f64 y 4)) t)) (+.f64 (*.f64 1/3 (/.f64 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 3) (pow.f64 y 3)) t)) (+.f64 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t) (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (pow.f64 y 2)) t)))))
(fma.f64 -1/4 (/.f64 (pow.f64 (expm1.f64 z) 4) (/.f64 t (pow.f64 y 4))) (fma.f64 1/3 (/.f64 (pow.f64 (expm1.f64 z) 3) (/.f64 t (pow.f64 y 3))) (+.f64 (/.f64 (expm1.f64 z) (/.f64 t y)) (*.f64 -1/2 (/.f64 (pow.f64 (expm1.f64 z) 2) (/.f64 t (*.f64 y y)))))))
(fma.f64 -1/4 (*.f64 (/.f64 (pow.f64 (expm1.f64 z) 4) t) (pow.f64 y 4)) (fma.f64 1/3 (*.f64 (/.f64 (pow.f64 (expm1.f64 z) 3) t) (pow.f64 y 3)) (fma.f64 -1/2 (/.f64 (pow.f64 (expm1.f64 z) 2) (/.f64 t (*.f64 y y))) (/.f64 (expm1.f64 z) (/.f64 t y)))))
(fma.f64 1/3 (*.f64 (pow.f64 y 3) (/.f64 (pow.f64 (expm1.f64 z) 3) t)) (fma.f64 -1/4 (*.f64 (pow.f64 y 4) (/.f64 (pow.f64 (expm1.f64 z) 4) t)) (fma.f64 -1/2 (*.f64 (*.f64 y y) (/.f64 (pow.f64 (expm1.f64 z) 2) t)) (*.f64 y (/.f64 (expm1.f64 z) t)))))
(/.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) t)
(/.f64 (+.f64 (log.f64 (expm1.f64 z)) (neg.f64 (neg.f64 (log.f64 y)))) t)
(/.f64 (+.f64 (log.f64 (expm1.f64 z)) (log.f64 y)) t)
(+.f64 (/.f64 (log.f64 (-.f64 (exp.f64 z) 1)) t) (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 y)) t)) (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) (*.f64 y t)))))
(+.f64 (/.f64 (log.f64 (expm1.f64 z)) t) (fma.f64 -1 (/.f64 (neg.f64 (log.f64 y)) t) (/.f64 1 (*.f64 (expm1.f64 z) (*.f64 y t)))))
(+.f64 (/.f64 (log.f64 (expm1.f64 z)) t) (+.f64 (/.f64 (log.f64 y) t) (/.f64 (/.f64 1 (*.f64 (expm1.f64 z) y)) t)))
(+.f64 (/.f64 1 (*.f64 (expm1.f64 z) (*.f64 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 (/.f64 (log.f64 y) t) (/.f64 (/.f64 1 (*.f64 (expm1.f64 z) y)) t)) (-.f64 (/.f64 (log.f64 (expm1.f64 z)) t) (/.f64 1/2 (*.f64 (pow.f64 (expm1.f64 z) 2) (*.f64 y (*.f64 y t))))))
(+.f64 (/.f64 1 (*.f64 (expm1.f64 z) (*.f64 y t))) (-.f64 (/.f64 (+.f64 (log.f64 (expm1.f64 z)) (log.f64 y)) t) (/.f64 (/.f64 1/2 (*.f64 y y)) (*.f64 t (pow.f64 (expm1.f64 z) 2)))))
(-.f64 (+.f64 (/.f64 (log.f64 (-.f64 (exp.f64 z) 1)) t) (+.f64 (*.f64 1/3 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 3) (*.f64 (pow.f64 y 3) t)))) (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 y)) t)) (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) (*.f64 y t)))))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (*.f64 (pow.f64 y 2) t)))))
(+.f64 (/.f64 (log.f64 (expm1.f64 z)) t) (-.f64 (+.f64 (fma.f64 -1 (/.f64 (neg.f64 (log.f64 y)) t) (/.f64 1 (*.f64 (expm1.f64 z) (*.f64 y t)))) (/.f64 1/3 (*.f64 (pow.f64 (expm1.f64 z) 3) (*.f64 t (pow.f64 y 3))))) (/.f64 1/2 (*.f64 (pow.f64 (expm1.f64 z) 2) (*.f64 t (*.f64 y y))))))
(+.f64 (/.f64 (log.f64 (expm1.f64 z)) t) (+.f64 (+.f64 (/.f64 (log.f64 y) t) (/.f64 (/.f64 1 (*.f64 (expm1.f64 z) y)) t)) (-.f64 (/.f64 1/3 (*.f64 (pow.f64 (expm1.f64 z) 3) (*.f64 t (pow.f64 y 3)))) (/.f64 1/2 (*.f64 (pow.f64 (expm1.f64 z) 2) (*.f64 y (*.f64 y t)))))))
(+.f64 (+.f64 (/.f64 1 (*.f64 (expm1.f64 z) (*.f64 y t))) (/.f64 (+.f64 (log.f64 (expm1.f64 z)) (log.f64 y)) t)) (+.f64 (/.f64 (/.f64 (/.f64 1/3 (pow.f64 y 3)) (pow.f64 (expm1.f64 z) 3)) t) (/.f64 (/.f64 -1/2 (*.f64 y y)) (*.f64 t (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 (/.f64 1 (*.f64 (expm1.f64 z) y)) t) (-.f64 (/.f64 (log.f64 (neg.f64 (expm1.f64 z))) t) (/.f64 (log.f64 (/.f64 -1 y)) t)))
(+.f64 (/.f64 1 (*.f64 (expm1.f64 z) (*.f64 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)))))
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(+.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 (pow.f64 z 3) 1/6))))
(fma.f64 z y (*.f64 (*.f64 z z) (+.f64 (*.f64 1/2 (-.f64 y (*.f64 y y))) (*.f64 z (fma.f64 1/6 (fma.f64 (*.f64 y y) -3 y) (*.f64 1/3 (pow.f64 y 3)))))))
(+.f64 (*.f64 y z) (+.f64 (*.f64 1/6 (*.f64 (+.f64 (*.f64 -3 (pow.f64 y 2)) (+.f64 y (*.f64 2 (pow.f64 y 3)))) (pow.f64 z 3))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 z 2) (+.f64 (*.f64 -1 (pow.f64 y 2)) y))) (*.f64 1/24 (*.f64 (+.f64 (*.f64 -3 (pow.f64 y 2)) (+.f64 y (+.f64 (*.f64 12 (pow.f64 y 3)) (+.f64 (*.f64 -4 (pow.f64 y 2)) (*.f64 -6 (pow.f64 y 4)))))) (pow.f64 z 4))))))
(fma.f64 y z (fma.f64 1/6 (*.f64 (pow.f64 z 3) (fma.f64 -3 (*.f64 y y) (+.f64 y (*.f64 2 (pow.f64 y 3))))) (fma.f64 1/2 (*.f64 (*.f64 z z) (fma.f64 -1 (*.f64 y y) y)) (*.f64 1/24 (*.f64 (pow.f64 z 4) (fma.f64 -3 (*.f64 y y) (+.f64 y (fma.f64 12 (pow.f64 y 3) (fma.f64 -4 (*.f64 y y) (*.f64 (pow.f64 y 4) -6))))))))))
(fma.f64 z y (fma.f64 1/6 (*.f64 (fma.f64 (*.f64 y y) -3 (fma.f64 2 (pow.f64 y 3) y)) (pow.f64 z 3)) (fma.f64 1/24 (*.f64 (+.f64 (fma.f64 (pow.f64 y 3) 12 (fma.f64 (*.f64 y y) -4 (*.f64 (pow.f64 y 4) -6))) (fma.f64 (*.f64 y y) -3 y)) (pow.f64 z 4)) (*.f64 1/2 (*.f64 z (*.f64 z (-.f64 y (*.f64 y y))))))))
(fma.f64 z y (fma.f64 1/24 (*.f64 (+.f64 (fma.f64 (pow.f64 y 4) -6 (*.f64 (*.f64 y y) (+.f64 (*.f64 y 12) -4))) (fma.f64 (*.f64 y y) -3 y)) (pow.f64 z 4)) (*.f64 (*.f64 z z) (+.f64 (*.f64 1/2 (-.f64 y (*.f64 y y))) (*.f64 z (fma.f64 1/6 (fma.f64 (*.f64 y y) -3 y) (*.f64 1/3 (pow.f64 y 3))))))))
(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 (+.f64 z (*.f64 1/2 (*.f64 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 y (*.f64 (pow.f64 z 3) 1/6))))
(fma.f64 y (*.f64 1/6 (pow.f64 z 3)) (*.f64 y (+.f64 z (*.f64 1/2 (*.f64 z z)))))
(+.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 y (*.f64 (pow.f64 z 3) 1/6)))))
(fma.f64 z y (fma.f64 y (*.f64 1/6 (pow.f64 z 3)) (*.f64 y (+.f64 (*.f64 1/2 (*.f64 z z)) (*.f64 1/24 (pow.f64 z 4))))))
(*.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)

eval120.0ms (0.5%)

Compiler

Compiled 3011 to 1595 computations (47% saved)

prune111.0ms (0.4%)

Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New12310133
Fresh000
Picked011
Done000
Total12311134
Error
0.3b
Counts
134 → 11
Alt Table
Click to see full alt table
StatusErrorProgram
20.4b
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (+.f64 z (*.f64 1/2 (*.f64 z z))))) t))
▶21.6b
(-.f64 x (*.f64 z (/.f64 y t)))
▶2.2b
(-.f64 x (pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) -1))
✓2.2b
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))
55.3b
(-.f64 x (/.f64 (+.f64 (log.f64 (expm1.f64 z)) (log.f64 y)) t))
21.2b
(-.f64 x (/.f64 (*.f64 z y) t))
▶9.9b
(-.f64 x (*.f64 y (/.f64 (expm1.f64 z) t)))
23.1b
(-.f64 x (/.f64 (exp.f64 (log.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) t))
▶2.5b
(-.f64 x (*.f64 (/.f64 1 t) (log1p.f64 (*.f64 y (expm1.f64 z)))))
11.3b
(-.f64 x (/.f64 (*.f64 (expm1.f64 z) y) t))
▶17.2b
(-.f64 x (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
Compiler

Compiled 287 to 199 computations (30.7% saved)

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(*.f64 y (expm1.f64 z))
0.3b
(log1p.f64 (*.f64 y (expm1.f64 z)))
✓0.9b
(pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) -1)
✓4.4b
(/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z))))
Compiler

Compiled 47 to 14 computations (70.2% saved)

series48.0ms (0.2%)

Counts
2 → 72
Calls

18 calls:

TimeVariablePointExpression
22.0ms
z
@0
(pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) -1)
4.0ms
y
@inf
(pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) -1)
4.0ms
z
@inf
(/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z))))
3.0ms
y
@-inf
(pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) -1)
2.0ms
y
@inf
(/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z))))

rewrite208.0ms (0.8%)

Algorithm
1×batch-egg-rewrite
Rules
954×pow1_binary64
880×add-log-exp_binary64
880×expm1-log1p-u_binary64
879×log1p-expm1-u_binary64
858×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01025
120122
2244022
Stop Event
1×node limit
Counts
2 → 71
Calls
Call 1
Inputs
(/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z))))
(pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) -1)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 t (/.f64 1 (log1p.f64 (*.f64 y (expm1.f64 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z))))) (pow.f64 (cbrt.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z))))) 2) (cbrt.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 t) 2) (*.f64 (cbrt.f64 t) (/.f64 1 (log1p.f64 (*.f64 y (expm1.f64 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z))))) (sqrt.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 t) (*.f64 (sqrt.f64 t) (/.f64 1 (log1p.f64 (*.f64 y (expm1.f64 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 t) (/.f64 1 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (log1p.f64 (*.f64 y (expm1.f64 z)))) t)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 t) 2) 1) (/.f64 (cbrt.f64 t) (log1p.f64 (*.f64 y (expm1.f64 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 t) 1) (/.f64 (sqrt.f64 t) (log1p.f64 (*.f64 y (expm1.f64 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 2)) (/.f64 t (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 t) 2) (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 2)) (cbrt.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 t) (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 2)) (/.f64 (sqrt.f64 t) (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (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 (/.f64 (pow.f64 (cbrt.f64 t) 2) (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) (/.f64 (cbrt.f64 t) (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 t (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 t 3) (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z))))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.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)) (cbrt.f64 (pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) -2)) (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) (sqrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 t -1) (pow.f64 (/.f64 1 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(*.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 expm1.f64 (log1p.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))))))

simplify172.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
407×associate-*r*_binary64
325×associate-*l*_binary64
315×fma-def_binary64
306×cancel-sign-sub-inv_binary64
291×distribute-rgt-in_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03554371
113194034
265264012
Stop Event
1×node limit
Counts
143 → 139
Calls
Call 1
Inputs
(/.f64 t (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))))
(/.f64 t (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))))
(/.f64 t (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))))
(/.f64 t (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))))
(/.f64 t (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))))
(/.f64 t (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))))
(/.f64 t (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))))
(/.f64 t (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))))
(/.f64 t (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))))
(/.f64 t (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))))
(/.f64 t (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))))
(/.f64 t (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))))
(/.f64 t (*.f64 (-.f64 (exp.f64 z) 1) y))
(+.f64 (/.f64 t (*.f64 (-.f64 (exp.f64 z) 1) y)) (*.f64 1/2 t))
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(/.f64 t (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))))
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(/.f64 t (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1)))))
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(/.f64 t (*.f64 y z))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 t (+.f64 (*.f64 -1 (pow.f64 y 2)) y)) (pow.f64 y 2))) (/.f64 t (*.f64 y z)))
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(/.f64 t (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))))
(/.f64 t (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))))
(/.f64 t (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))))
(/.f64 t (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))))
(/.f64 t (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))))
(/.f64 t (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))))
(/.f64 t (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))))
(/.f64 t (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))))
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(+.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 (*.f64 (pow.f64 y 4) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (+.f64 (*.f64 -1/4 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) t)) (+.f64 (*.f64 1/2 (*.f64 (-.f64 (exp.f64 z) 1) (+.f64 (*.f64 -1/4 (*.f64 (-.f64 (exp.f64 z) 1) t)) (*.f64 1/3 (*.f64 (-.f64 (exp.f64 z) 1) t))))) (*.f64 1/6 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) t))))) (pow.f64 t 2))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 3) (+.f64 (*.f64 -1/4 (*.f64 (-.f64 (exp.f64 z) 1) t)) (*.f64 1/3 (*.f64 (-.f64 (exp.f64 z) 1) t)))) (pow.f64 t 2))) (*.f64 -1/2 (*.f64 (-.f64 (exp.f64 z) 1) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (+.f64 (*.f64 -1/4 (*.f64 (-.f64 (exp.f64 z) 1) t)) (*.f64 1/3 (*.f64 (-.f64 (exp.f64 z) 1) t)))) (pow.f64 t 2))) (*.f64 -1/4 (/.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 3) t))))))))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 y 3) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (+.f64 (*.f64 -1/4 (*.f64 (-.f64 (exp.f64 z) 1) t)) (*.f64 1/3 (*.f64 (-.f64 (exp.f64 z) 1) t)))) (pow.f64 t 2))) (*.f64 -1/4 (/.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 3) t))))) (+.f64 (/.f64 (*.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 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (*.f64 (pow.f64 y 2) t)))) (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 y)) t)) (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) (*.f64 y t)))))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) 2) (+.f64 (*.f64 -1/2 (/.f64 t (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (pow.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) 2)))) (*.f64 -1 (/.f64 t (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (pow.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) 3)))))) (*.f64 (pow.f64 y 2) (pow.f64 t 2)))))
(-.f64 (+.f64 (/.f64 (log.f64 (-.f64 (exp.f64 z) 1)) t) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) (+.f64 (*.f64 -1/2 (/.f64 t (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (pow.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) 2)))) (*.f64 -1 (/.f64 t (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (pow.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) 3)))))) (*.f64 (-.f64 (exp.f64 z) 1) (pow.f64 t 2)))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) 2) (+.f64 (*.f64 1/2 (/.f64 t (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 3) (pow.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) 3)))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/2 (/.f64 t (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (pow.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) 2)))) (*.f64 -1 (/.f64 t (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (pow.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) 3))))) (*.f64 (-.f64 (exp.f64 z) 1) (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y))))))) (*.f64 1/3 (/.f64 t (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 3) (pow.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) 2))))))) (pow.f64 t 2))) (*.f64 -1 (/.f64 (-.f64 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (*.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) t))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) 2) (+.f64 (*.f64 -1/2 (/.f64 t (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (pow.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) 2)))) (*.f64 -1 (/.f64 t (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (pow.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) 3)))))) (pow.f64 t 2)))) (*.f64 (-.f64 (exp.f64 z) 1) (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y))))))))) (pow.f64 y 3))) (+.f64 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (*.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) (*.f64 (pow.f64 y 2) t)))) (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 y)) t)) (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) (*.f64 y t))))))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) 2) (+.f64 (*.f64 -1/2 (/.f64 t (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (pow.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) 2)))) (*.f64 -1 (/.f64 t (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (pow.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) 3)))))) (*.f64 (pow.f64 y 2) (pow.f64 t 2)))))
(/.f64 (+.f64 (*.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 (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) (*.f64 y t))) (/.f64 1 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1)))) (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (*.f64 (pow.f64 y 2) t))))))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1)))) 2) (+.f64 (*.f64 -1 (/.f64 t (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1)))) 3)))) (*.f64 -1/2 (/.f64 t (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1)))) 2)))))) (*.f64 (pow.f64 y 2) (pow.f64 t 2)))))
(-.f64 (+.f64 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1)))) (*.f64 (pow.f64 y 2) t)))) (+.f64 (/.f64 (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1))) t) (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 y)) t)) (+.f64 (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) (*.f64 y t))) (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1)))) (+.f64 (*.f64 -1 (/.f64 t (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1)))) 3)))) (*.f64 -1/2 (/.f64 t (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1)))) 2)))))) (*.f64 (-.f64 (exp.f64 z) 1) (pow.f64 t 2)))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1)))) 2) (+.f64 (*.f64 -1/3 (/.f64 t (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 3) (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1)))) 2)))) (+.f64 (*.f64 -1 (/.f64 t (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 3) (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1)))) 4)))) (*.f64 -1 (/.f64 t (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 3) (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1)))) 3))))))) (pow.f64 t 2))) (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1)))) (+.f64 (*.f64 -1 (/.f64 t (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1)))) 3)))) (*.f64 -1/2 (/.f64 t (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1)))) 2)))))) (*.f64 (-.f64 (exp.f64 z) 1) (pow.f64 t 2))) (/.f64 1 (*.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1)))) 2) (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 3) t)))))) (pow.f64 y 3))))))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1)))) 2) (+.f64 (*.f64 -1 (/.f64 t (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1)))) 3)))) (*.f64 -1/2 (/.f64 t (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1)))) 2)))))) (*.f64 (pow.f64 y 2) (pow.f64 t 2)))))
(/.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 (*.f64 y z) t) (*.f64 -1 (*.f64 (pow.f64 z 3) (+.f64 (*.f64 -1/4 (/.f64 (pow.f64 (+.f64 (*.f64 -1 (pow.f64 y 2)) y) 2) (*.f64 y t))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 y 2) (+.f64 (*.f64 1/6 (/.f64 (*.f64 t (+.f64 (*.f64 -3 (pow.f64 y 2)) (+.f64 y (*.f64 2 (pow.f64 y 3))))) (pow.f64 y 2))) (*.f64 -1/4 (/.f64 (*.f64 t (pow.f64 (+.f64 (*.f64 -1 (pow.f64 y 2)) y) 2)) (pow.f64 y 3))))) (pow.f64 t 2))))))))
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 z 2) (+.f64 (*.f64 -1 (pow.f64 y 2)) y)) t)) (+.f64 (*.f64 -1 (*.f64 (pow.f64 z 4) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (+.f64 (*.f64 -1 (pow.f64 y 2)) y) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 y 2) (+.f64 (*.f64 1/6 (/.f64 (*.f64 (+.f64 y (+.f64 (*.f64 -3 (pow.f64 y 2)) (*.f64 2 (pow.f64 y 3)))) t) (pow.f64 y 2))) (*.f64 -1/4 (/.f64 (*.f64 t (pow.f64 (+.f64 (*.f64 -1 (pow.f64 y 2)) y) 2)) (pow.f64 y 3))))) (pow.f64 t 2))) (*.f64 -1/4 (/.f64 (pow.f64 (+.f64 (*.f64 -1 (pow.f64 y 2)) y) 2) (*.f64 y t))))) y)) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 y (*.f64 (+.f64 (*.f64 -1 (pow.f64 y 2)) y) (+.f64 (*.f64 1/6 (/.f64 (*.f64 t (+.f64 (*.f64 -3 (pow.f64 y 2)) (+.f64 y (*.f64 2 (pow.f64 y 3))))) (pow.f64 y 2))) (*.f64 -1/4 (/.f64 (*.f64 t (pow.f64 (+.f64 (*.f64 -1 (pow.f64 y 2)) y) 2)) (pow.f64 y 3)))))) (pow.f64 t 2))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 y 2) (+.f64 (*.f64 -1/12 (/.f64 (*.f64 t (*.f64 (+.f64 (*.f64 -3 (pow.f64 y 2)) (+.f64 y (*.f64 2 (pow.f64 y 3)))) (+.f64 (*.f64 -1 (pow.f64 y 2)) y))) (pow.f64 y 3))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (+.f64 (*.f64 1/6 (/.f64 (*.f64 (+.f64 y (+.f64 (*.f64 -3 (pow.f64 y 2)) (*.f64 2 (pow.f64 y 3)))) t) (pow.f64 y 2))) (*.f64 -1/4 (/.f64 (*.f64 t (pow.f64 (+.f64 (*.f64 -1 (pow.f64 y 2)) y) 2)) (pow.f64 y 3)))) (+.f64 (*.f64 -1 (pow.f64 y 2)) y)) y)) (*.f64 1/24 (/.f64 (*.f64 t (+.f64 (*.f64 -3 (pow.f64 y 2)) (+.f64 y (+.f64 (*.f64 12 (pow.f64 y 3)) (+.f64 (*.f64 -4 (pow.f64 y 2)) (*.f64 -6 (pow.f64 y 4))))))) (pow.f64 y 2)))))) (pow.f64 t 2))))))) (+.f64 (/.f64 (*.f64 y z) t) (*.f64 -1 (*.f64 (pow.f64 z 3) (+.f64 (*.f64 -1/4 (/.f64 (pow.f64 (+.f64 (*.f64 -1 (pow.f64 y 2)) y) 2) (*.f64 y t))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 y 2) (+.f64 (*.f64 1/6 (/.f64 (*.f64 t (+.f64 (*.f64 -3 (pow.f64 y 2)) (+.f64 y (*.f64 2 (pow.f64 y 3))))) (pow.f64 y 2))) (*.f64 -1/4 (/.f64 (*.f64 t (pow.f64 (+.f64 (*.f64 -1 (pow.f64 y 2)) y) 2)) (pow.f64 y 3))))) (pow.f64 t 2)))))))))
(/.f64 (log.f64 (+.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)
Outputs
(/.f64 t (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))))
(/.f64 t (log1p.f64 (*.f64 (expm1.f64 z) y)))
(/.f64 t (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))))
(/.f64 t (log1p.f64 (*.f64 (expm1.f64 z) y)))
(/.f64 t (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))))
(/.f64 t (log1p.f64 (*.f64 (expm1.f64 z) y)))
(/.f64 t (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))))
(/.f64 t (log1p.f64 (*.f64 (expm1.f64 z) y)))
(/.f64 t (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))))
(/.f64 t (log1p.f64 (*.f64 (expm1.f64 z) y)))
(/.f64 t (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))))
(/.f64 t (log1p.f64 (*.f64 (expm1.f64 z) y)))
(/.f64 t (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))))
(/.f64 t (log1p.f64 (*.f64 (expm1.f64 z) y)))
(/.f64 t (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))))
(/.f64 t (log1p.f64 (*.f64 (expm1.f64 z) y)))
(/.f64 t (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))))
(/.f64 t (log1p.f64 (*.f64 (expm1.f64 z) y)))
(/.f64 t (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))))
(/.f64 t (log1p.f64 (*.f64 (expm1.f64 z) y)))
(/.f64 t (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))))
(/.f64 t (log1p.f64 (*.f64 (expm1.f64 z) y)))
(/.f64 t (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))))
(/.f64 t (log1p.f64 (*.f64 (expm1.f64 z) y)))
(/.f64 t (*.f64 (-.f64 (exp.f64 z) 1) y))
(/.f64 t (*.f64 (expm1.f64 z) y))
(+.f64 (/.f64 t (*.f64 (-.f64 (exp.f64 z) 1) y)) (*.f64 1/2 t))
(+.f64 (/.f64 t (*.f64 (expm1.f64 z) y)) (*.f64 t 1/2))
(fma.f64 t 1/2 (/.f64 t (*.f64 (expm1.f64 z) y)))
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(fma.f64 1/2 (/.f64 (*.f64 z z) (/.f64 t (fma.f64 -1 (*.f64 y y) y))) (fma.f64 -1 (*.f64 (pow.f64 z 4) (fma.f64 1/2 (/.f64 (fma.f64 -1 (*.f64 y y) y) (/.f64 y (fma.f64 -1 (/.f64 (*.f64 y y) (/.f64 (*.f64 t t) (fma.f64 1/6 (/.f64 (+.f64 y (fma.f64 -3 (*.f64 y y) (*.f64 2 (pow.f64 y 3)))) (/.f64 (*.f64 y y) t)) (*.f64 -1/4 (/.f64 t (/.f64 (pow.f64 y 3) (pow.f64 (fma.f64 -1 (*.f64 y y) y) 2))))))) (*.f64 -1/4 (/.f64 (pow.f64 (fma.f64 -1 (*.f64 y y) y) 2) (*.f64 t y)))))) (fma.f64 -1/2 (/.f64 y (/.f64 (*.f64 t t) (*.f64 (fma.f64 -1 (*.f64 y y) y) (fma.f64 1/6 (/.f64 t (/.f64 (*.f64 y y) (fma.f64 -3 (*.f64 y y) (+.f64 y (*.f64 2 (pow.f64 y 3)))))) (*.f64 -1/4 (/.f64 t (/.f64 (pow.f64 y 3) (pow.f64 (fma.f64 -1 (*.f64 y y) y) 2)))))))) (neg.f64 (/.f64 (*.f64 y y) (/.f64 (*.f64 t t) (fma.f64 -1/12 (/.f64 t (/.f64 (pow.f64 y 3) (*.f64 (fma.f64 -1 (*.f64 y y) y) (fma.f64 -3 (*.f64 y y) (+.f64 y (*.f64 2 (pow.f64 y 3))))))) (fma.f64 -1/2 (/.f64 (fma.f64 1/6 (/.f64 (+.f64 y (fma.f64 -3 (*.f64 y y) (*.f64 2 (pow.f64 y 3)))) (/.f64 (*.f64 y y) t)) (*.f64 -1/4 (/.f64 t (/.f64 (pow.f64 y 3) (pow.f64 (fma.f64 -1 (*.f64 y y) y) 2))))) (/.f64 y (fma.f64 -1 (*.f64 y y) y))) (*.f64 1/24 (/.f64 t (/.f64 (*.f64 y y) (fma.f64 -3 (*.f64 y y) (+.f64 y (fma.f64 12 (pow.f64 y 3) (fma.f64 -4 (*.f64 y y) (*.f64 -6 (pow.f64 y 4))))))))))))))))) (+.f64 (/.f64 y (/.f64 t z)) (neg.f64 (*.f64 (pow.f64 z 3) (fma.f64 -1/4 (/.f64 (pow.f64 (fma.f64 -1 (*.f64 y y) y) 2) (*.f64 t y)) (neg.f64 (/.f64 (*.f64 y y) (/.f64 (*.f64 t t) (fma.f64 1/6 (/.f64 t (/.f64 (*.f64 y y) (fma.f64 -3 (*.f64 y y) (+.f64 y (*.f64 2 (pow.f64 y 3)))))) (*.f64 -1/4 (/.f64 t (/.f64 (pow.f64 y 3) (pow.f64 (fma.f64 -1 (*.f64 y y) y) 2))))))))))))))
(fma.f64 1/2 (*.f64 (/.f64 (*.f64 z z) t) (-.f64 y (*.f64 y y))) (-.f64 (-.f64 (/.f64 y (/.f64 t z)) (*.f64 (pow.f64 z 3) (-.f64 (*.f64 -1/4 (/.f64 (pow.f64 (-.f64 y (*.f64 y y)) 2) (*.f64 t y))) (*.f64 (/.f64 y (/.f64 t y)) (/.f64 (fma.f64 -1/4 (*.f64 (/.f64 t (pow.f64 y 3)) (pow.f64 (-.f64 y (*.f64 y y)) 2)) (*.f64 1/6 (*.f64 (/.f64 t (*.f64 y y)) (fma.f64 (*.f64 y y) -3 (fma.f64 2 (pow.f64 y 3) y))))) t))))) (*.f64 (pow.f64 z 4) (-.f64 (fma.f64 1/2 (*.f64 (/.f64 (-.f64 y (*.f64 y y)) y) (-.f64 (*.f64 -1/4 (/.f64 (pow.f64 (-.f64 y (*.f64 y y)) 2) (*.f64 t y))) (*.f64 (/.f64 y (/.f64 t y)) (/.f64 (fma.f64 -1/4 (*.f64 (/.f64 t (pow.f64 y 3)) (pow.f64 (-.f64 y (*.f64 y y)) 2)) (*.f64 1/6 (*.f64 (/.f64 t (*.f64 y y)) (fma.f64 (*.f64 y y) -3 (fma.f64 2 (pow.f64 y 3) y))))) t)))) (/.f64 (*.f64 y -1/2) (*.f64 (/.f64 t (-.f64 y (*.f64 y y))) (/.f64 t (fma.f64 -1/4 (*.f64 (/.f64 t (pow.f64 y 3)) (pow.f64 (-.f64 y (*.f64 y y)) 2)) (*.f64 1/6 (*.f64 (/.f64 t (*.f64 y y)) (fma.f64 (*.f64 y y) -3 (fma.f64 2 (pow.f64 y 3) y))))))))) (*.f64 (/.f64 (*.f64 y y) (*.f64 t t)) (fma.f64 -1/2 (*.f64 (/.f64 (-.f64 y (*.f64 y y)) y) (fma.f64 -1/4 (*.f64 (/.f64 t (pow.f64 y 3)) (pow.f64 (-.f64 y (*.f64 y y)) 2)) (*.f64 1/6 (*.f64 (/.f64 t (*.f64 y y)) (fma.f64 (*.f64 y y) -3 (fma.f64 2 (pow.f64 y 3) y)))))) (fma.f64 1/24 (*.f64 (/.f64 t (*.f64 y y)) (+.f64 (fma.f64 (pow.f64 y 3) 12 (fma.f64 (*.f64 y y) -4 (*.f64 -6 (pow.f64 y 4)))) (fma.f64 (*.f64 y y) -3 y))) (*.f64 -1/12 (*.f64 (/.f64 t (pow.f64 y 3)) (*.f64 (-.f64 y (*.f64 y y)) (fma.f64 (*.f64 y y) -3 (fma.f64 2 (pow.f64 y 3) y))))))))))))
(-.f64 (-.f64 (fma.f64 1/2 (*.f64 (/.f64 (*.f64 z z) t) (-.f64 y (*.f64 y y))) (/.f64 y (/.f64 t z))) (*.f64 (pow.f64 z 3) (-.f64 (*.f64 -1/4 (/.f64 (pow.f64 (-.f64 y (*.f64 y y)) 2) (*.f64 t y))) (*.f64 (/.f64 y (/.f64 t y)) (/.f64 (fma.f64 -1/4 (*.f64 (/.f64 t (pow.f64 y 3)) (pow.f64 (-.f64 y (*.f64 y y)) 2)) (*.f64 1/6 (*.f64 (/.f64 t (*.f64 y y)) (fma.f64 (*.f64 y y) -3 (fma.f64 2 (pow.f64 y 3) y))))) t))))) (*.f64 (pow.f64 z 4) (-.f64 (fma.f64 1/2 (*.f64 (/.f64 (-.f64 y (*.f64 y y)) y) (-.f64 (*.f64 -1/4 (/.f64 (pow.f64 (-.f64 y (*.f64 y y)) 2) (*.f64 t y))) (*.f64 (/.f64 y (/.f64 t y)) (/.f64 (fma.f64 -1/4 (*.f64 (/.f64 t (pow.f64 y 3)) (pow.f64 (-.f64 y (*.f64 y y)) 2)) (*.f64 1/6 (*.f64 (/.f64 t (*.f64 y y)) (fma.f64 (*.f64 y y) -3 (fma.f64 2 (pow.f64 y 3) y))))) t)))) (/.f64 (*.f64 y -1/2) (*.f64 (/.f64 t (-.f64 y (*.f64 y y))) (/.f64 t (fma.f64 -1/4 (*.f64 (/.f64 t (pow.f64 y 3)) (pow.f64 (-.f64 y (*.f64 y y)) 2)) (*.f64 1/6 (*.f64 (/.f64 t (*.f64 y y)) (fma.f64 (*.f64 y y) -3 (fma.f64 2 (pow.f64 y 3) y))))))))) (*.f64 (/.f64 (*.f64 y y) (*.f64 t t)) (fma.f64 -1/2 (*.f64 (/.f64 (-.f64 y (*.f64 y y)) y) (fma.f64 -1/4 (*.f64 (/.f64 t (pow.f64 y 3)) (pow.f64 (-.f64 y (*.f64 y y)) 2)) (*.f64 1/6 (*.f64 (/.f64 t (*.f64 y y)) (fma.f64 (*.f64 y y) -3 (fma.f64 2 (pow.f64 y 3) y)))))) (fma.f64 1/24 (*.f64 (/.f64 t (*.f64 y y)) (+.f64 (fma.f64 (pow.f64 y 3) 12 (fma.f64 (*.f64 y y) -4 (*.f64 -6 (pow.f64 y 4)))) (fma.f64 (*.f64 y y) -3 y))) (*.f64 -1/12 (*.f64 (/.f64 t (pow.f64 y 3)) (*.f64 (-.f64 y (*.f64 y y)) (fma.f64 (*.f64 y y) -3 (fma.f64 2 (pow.f64 y 3) y)))))))))))
(/.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)

localize8.0ms (0%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(-.f64 x (*.f64 z (/.f64 y t)))
✓4.8b
(*.f64 z (/.f64 y t))
Compiler

Compiled 23 to 7 computations (69.6% saved)

series12.0ms (0%)

Counts
2 → 84
Calls

21 calls:

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

rewrite118.0ms (0.5%)

Algorithm
1×batch-egg-rewrite
Rules
672×prod-diff_binary64
501×log-prod_binary64
323×pow-prod-down_binary64
253×pow2_binary64
216×fma-def_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0817
117917
2262017
Stop Event
1×node limit
Counts
2 → 198
Calls
Call 1
Inputs
(*.f64 z (/.f64 y t))
(-.f64 x (*.f64 z (/.f64 y t)))
Outputs
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simplify80.0ms (0.3%)

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

Useful iterations: 1 (0.0ms)

IterNodesCost
010708
119672
241672
380672
4141672
5214672
6300672
7378672
8482672
9747672
101170672
111326672
121445672
131450672
Stop Event
1×saturated
Counts
282 → 205
Calls
Call 1
Inputs
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(*.f64 -1 (/.f64 (*.f64 y z) t))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
x
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
x
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
x
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(*.f64 -1 (/.f64 (*.f64 y z) t))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(*.f64 -1 (/.f64 (*.f64 y z) t))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
x
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(*.f64 -1 (/.f64 (*.f64 y z) t))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(*.f64 -1 (/.f64 (*.f64 y z) t))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(*.f64 -1 (/.f64 (*.f64 y z) t))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
x
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
x
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
Outputs
(/.f64 (*.f64 y z) t)
(/.f64 y (/.f64 t z))
(*.f64 (/.f64 y t) z)
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(/.f64 (*.f64 y z) t)
(/.f64 y (/.f64 t z))
(*.f64 (/.f64 y t) z)
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(/.f64 (*.f64 y z) t)
(/.f64 y (/.f64 t z))
(*.f64 (/.f64 y t) z)
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(/.f64 (*.f64 y z) t)
(/.f64 y (/.f64 t z))
(*.f64 (/.f64 y t) z)
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(/.f64 (*.f64 y z) t)
(/.f64 y (/.f64 t z))
(*.f64 (/.f64 y t) z)
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(/.f64 (*.f64 y z) t)
(/.f64 y (/.f64 t z))
(*.f64 (/.f64 y t) z)
(*.f64 z (/.f64 y t))
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(/.f64 (*.f64 y z) t)
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(*.f64 (/.f64 y t) z)
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(*.f64 (/.f64 y t) z)
(*.f64 z (/.f64 y t))
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(/.f64 (*.f64 y z) t)
(/.f64 y (/.f64 t z))
(*.f64 (/.f64 y t) z)
(*.f64 z (/.f64 y t))
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(/.f64 (*.f64 y z) t)
(/.f64 y (/.f64 t z))
(*.f64 (/.f64 y t) z)
(*.f64 z (/.f64 y t))
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(/.f64 (*.f64 y z) t)
(/.f64 y (/.f64 t z))
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(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(/.f64 (*.f64 y z) t)
(/.f64 y (/.f64 t z))
(*.f64 (/.f64 y t) z)
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(/.f64 (*.f64 y z) t)
(/.f64 y (/.f64 t z))
(*.f64 (/.f64 y t) z)
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(/.f64 (*.f64 y z) t)
(/.f64 y (/.f64 t z))
(*.f64 (/.f64 y t) z)
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(/.f64 (*.f64 y z) t)
(/.f64 y (/.f64 t z))
(*.f64 (/.f64 y t) z)
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(/.f64 (*.f64 y z) t)
(/.f64 y (/.f64 t z))
(*.f64 (/.f64 y t) z)
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(/.f64 (*.f64 y z) t)
(/.f64 y (/.f64 t z))
(*.f64 (/.f64 y t) z)
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(/.f64 (*.f64 y z) t)
(/.f64 y (/.f64 t z))
(*.f64 (/.f64 y t) z)
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(/.f64 (*.f64 y z) t)
(/.f64 y (/.f64 t z))
(*.f64 (/.f64 y t) z)
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(/.f64 (*.f64 y z) t)
(/.f64 y (/.f64 t z))
(*.f64 (/.f64 y t) z)
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(/.f64 (*.f64 y z) t)
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(*.f64 (/.f64 y t) z)
(*.f64 z (/.f64 y t))
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(/.f64 (*.f64 y z) t)
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(*.f64 (/.f64 y t) z)
(*.f64 z (/.f64 y t))
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(/.f64 (*.f64 y z) t)
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(*.f64 (/.f64 y t) z)
(*.f64 z (/.f64 y t))
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(/.f64 (*.f64 y z) t)
(/.f64 y (/.f64 t z))
(*.f64 (/.f64 y t) z)
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(/.f64 (*.f64 y z) t)
(/.f64 y (/.f64 t z))
(*.f64 (/.f64 y t) z)
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(/.f64 (*.f64 y z) t)
(/.f64 y (/.f64 t z))
(*.f64 (/.f64 y t) z)
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(/.f64 (*.f64 y z) t)
(/.f64 y (/.f64 t z))
(*.f64 (/.f64 y t) z)
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(/.f64 (*.f64 y z) t)
(/.f64 y (/.f64 t z))
(*.f64 (/.f64 y t) z)
(*.f64 z (/.f64 y t))
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(/.f64 (*.f64 y z) t)
(/.f64 y (/.f64 t z))
(*.f64 (/.f64 y t) z)
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(/.f64 (*.f64 y z) t)
(/.f64 y (/.f64 t z))
(*.f64 (/.f64 y t) z)
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(/.f64 (*.f64 y z) t)
(/.f64 y (/.f64 t z))
(*.f64 (/.f64 y t) z)
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(/.f64 (*.f64 y z) t)
(/.f64 y (/.f64 t z))
(*.f64 (/.f64 y t) z)
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(/.f64 (*.f64 y z) t)
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(*.f64 (/.f64 y t) z)
(*.f64 z (/.f64 y t))
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(/.f64 (*.f64 y z) t)
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(*.f64 (/.f64 y t) z)
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(/.f64 (*.f64 y z) t)
(/.f64 y (/.f64 t z))
(*.f64 (/.f64 y t) z)
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(/.f64 (*.f64 y z) t)
(/.f64 y (/.f64 t z))
(*.f64 (/.f64 y t) z)
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(*.f64 -1 (/.f64 (*.f64 y z) t))
(neg.f64 (/.f64 y (/.f64 t z)))
(/.f64 (neg.f64 (*.f64 y z)) t)
(/.f64 (neg.f64 y) (/.f64 t z))
(*.f64 y (/.f64 (neg.f64 z) t))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(fma.f64 -1 (/.f64 y (/.f64 t z)) x)
(-.f64 x (*.f64 (/.f64 y t) z))
(-.f64 x (*.f64 z (/.f64 y t)))
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(-.f64 x (/.f64 (*.f64 y z) t))
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(-.f64 x (/.f64 (*.f64 y z) t))
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(fma.f64 -1 (/.f64 y (/.f64 t z)) x)
(-.f64 x (*.f64 (/.f64 y t) z))
(-.f64 x (*.f64 z (/.f64 y t)))
(-.f64 x (*.f64 y (/.f64 z t)))
(-.f64 x (/.f64 (*.f64 y z) t))
x
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(fma.f64 -1 (/.f64 y (/.f64 t z)) x)
(-.f64 x (*.f64 (/.f64 y t) z))
(-.f64 x (*.f64 z (/.f64 y t)))
(-.f64 x (*.f64 y (/.f64 z t)))
(-.f64 x (/.f64 (*.f64 y z) t))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(fma.f64 -1 (/.f64 y (/.f64 t z)) x)
(-.f64 x (*.f64 (/.f64 y t) z))
(-.f64 x (*.f64 z (/.f64 y t)))
(-.f64 x (*.f64 y (/.f64 z t)))
(-.f64 x (/.f64 (*.f64 y z) t))
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(fma.f64 -1 (/.f64 y (/.f64 t z)) x)
(-.f64 x (*.f64 (/.f64 y t) z))
(-.f64 x (*.f64 z (/.f64 y t)))
(-.f64 x (*.f64 y (/.f64 z t)))
(-.f64 x (/.f64 (*.f64 y z) t))
x
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(fma.f64 -1 (/.f64 y (/.f64 t z)) x)
(-.f64 x (*.f64 (/.f64 y t) z))
(-.f64 x (*.f64 z (/.f64 y t)))
(-.f64 x (*.f64 y (/.f64 z t)))
(-.f64 x (/.f64 (*.f64 y z) t))
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(fma.f64 -1 (/.f64 y (/.f64 t z)) x)
(-.f64 x (*.f64 (/.f64 y t) z))
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(-.f64 x (*.f64 y (/.f64 z t)))
(-.f64 x (/.f64 (*.f64 y z) t))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(fma.f64 -1 (/.f64 y (/.f64 t z)) x)
(-.f64 x (*.f64 (/.f64 y t) z))
(-.f64 x (*.f64 z (/.f64 y t)))
(-.f64 x (*.f64 y (/.f64 z t)))
(-.f64 x (/.f64 (*.f64 y z) t))
x
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(fma.f64 -1 (/.f64 y (/.f64 t z)) x)
(-.f64 x (*.f64 (/.f64 y t) z))
(-.f64 x (*.f64 z (/.f64 y t)))
(-.f64 x (*.f64 y (/.f64 z t)))
(-.f64 x (/.f64 (*.f64 y z) t))
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(fma.f64 -1 (/.f64 y (/.f64 t z)) x)
(-.f64 x (*.f64 (/.f64 y t) z))
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(-.f64 x (*.f64 y (/.f64 z t)))
(-.f64 x (/.f64 (*.f64 y z) t))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(fma.f64 -1 (/.f64 y (/.f64 t z)) x)
(-.f64 x (*.f64 (/.f64 y t) z))
(-.f64 x (*.f64 z (/.f64 y t)))
(-.f64 x (*.f64 y (/.f64 z t)))
(-.f64 x (/.f64 (*.f64 y z) t))
(*.f64 -1 (/.f64 (*.f64 y z) t))
(neg.f64 (/.f64 y (/.f64 t z)))
(/.f64 (neg.f64 (*.f64 y z)) t)
(/.f64 (neg.f64 y) (/.f64 t z))
(*.f64 y (/.f64 (neg.f64 z) t))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(fma.f64 -1 (/.f64 y (/.f64 t z)) x)
(-.f64 x (*.f64 (/.f64 y t) z))
(-.f64 x (*.f64 z (/.f64 y t)))
(-.f64 x (*.f64 y (/.f64 z t)))
(-.f64 x (/.f64 (*.f64 y z) t))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(fma.f64 -1 (/.f64 y (/.f64 t z)) x)
(-.f64 x (*.f64 (/.f64 y t) z))
(-.f64 x (*.f64 z (/.f64 y t)))
(-.f64 x (*.f64 y (/.f64 z t)))
(-.f64 x (/.f64 (*.f64 y z) t))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(fma.f64 -1 (/.f64 y (/.f64 t z)) x)
(-.f64 x (*.f64 (/.f64 y t) z))
(-.f64 x (*.f64 z (/.f64 y t)))
(-.f64 x (*.f64 y (/.f64 z t)))
(-.f64 x (/.f64 (*.f64 y z) t))
(*.f64 -1 (/.f64 (*.f64 y z) t))
(neg.f64 (/.f64 y (/.f64 t z)))
(/.f64 (neg.f64 (*.f64 y z)) t)
(/.f64 (neg.f64 y) (/.f64 t z))
(*.f64 y (/.f64 (neg.f64 z) t))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(fma.f64 -1 (/.f64 y (/.f64 t z)) x)
(-.f64 x (*.f64 (/.f64 y t) z))
(-.f64 x (*.f64 z (/.f64 y t)))
(-.f64 x (*.f64 y (/.f64 z t)))
(-.f64 x (/.f64 (*.f64 y z) t))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(fma.f64 -1 (/.f64 y (/.f64 t z)) x)
(-.f64 x (*.f64 (/.f64 y t) z))
(-.f64 x (*.f64 z (/.f64 y t)))
(-.f64 x (*.f64 y (/.f64 z t)))
(-.f64 x (/.f64 (*.f64 y z) t))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(fma.f64 -1 (/.f64 y (/.f64 t z)) x)
(-.f64 x (*.f64 (/.f64 y t) z))
(-.f64 x (*.f64 z (/.f64 y t)))
(-.f64 x (*.f64 y (/.f64 z t)))
(-.f64 x (/.f64 (*.f64 y z) t))
x
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(fma.f64 -1 (/.f64 y (/.f64 t z)) x)
(-.f64 x (*.f64 (/.f64 y t) z))
(-.f64 x (*.f64 z (/.f64 y t)))
(-.f64 x (*.f64 y (/.f64 z t)))
(-.f64 x (/.f64 (*.f64 y z) t))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(fma.f64 -1 (/.f64 y (/.f64 t z)) x)
(-.f64 x (*.f64 (/.f64 y t) z))
(-.f64 x (*.f64 z (/.f64 y t)))
(-.f64 x (*.f64 y (/.f64 z t)))
(-.f64 x (/.f64 (*.f64 y z) t))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(fma.f64 -1 (/.f64 y (/.f64 t z)) x)
(-.f64 x (*.f64 (/.f64 y t) z))
(-.f64 x (*.f64 z (/.f64 y t)))
(-.f64 x (*.f64 y (/.f64 z t)))
(-.f64 x (/.f64 (*.f64 y z) t))
(*.f64 -1 (/.f64 (*.f64 y z) t))
(neg.f64 (/.f64 y (/.f64 t z)))
(/.f64 (neg.f64 (*.f64 y z)) t)
(/.f64 (neg.f64 y) (/.f64 t z))
(*.f64 y (/.f64 (neg.f64 z) t))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(fma.f64 -1 (/.f64 y (/.f64 t z)) x)
(-.f64 x (*.f64 (/.f64 y t) z))
(-.f64 x (*.f64 z (/.f64 y t)))
(-.f64 x (*.f64 y (/.f64 z t)))
(-.f64 x (/.f64 (*.f64 y z) t))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(fma.f64 -1 (/.f64 y (/.f64 t z)) x)
(-.f64 x (*.f64 (/.f64 y t) z))
(-.f64 x (*.f64 z (/.f64 y t)))
(-.f64 x (*.f64 y (/.f64 z t)))
(-.f64 x (/.f64 (*.f64 y z) t))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(fma.f64 -1 (/.f64 y (/.f64 t z)) x)
(-.f64 x (*.f64 (/.f64 y t) z))
(-.f64 x (*.f64 z (/.f64 y t)))
(-.f64 x (*.f64 y (/.f64 z t)))
(-.f64 x (/.f64 (*.f64 y z) t))
(*.f64 -1 (/.f64 (*.f64 y z) t))
(neg.f64 (/.f64 y (/.f64 t z)))
(/.f64 (neg.f64 (*.f64 y z)) t)
(/.f64 (neg.f64 y) (/.f64 t z))
(*.f64 y (/.f64 (neg.f64 z) t))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(fma.f64 -1 (/.f64 y (/.f64 t z)) x)
(-.f64 x (*.f64 (/.f64 y t) z))
(-.f64 x (*.f64 z (/.f64 y t)))
(-.f64 x (*.f64 y (/.f64 z t)))
(-.f64 x (/.f64 (*.f64 y z) t))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(fma.f64 -1 (/.f64 y (/.f64 t z)) x)
(-.f64 x (*.f64 (/.f64 y t) z))
(-.f64 x (*.f64 z (/.f64 y t)))
(-.f64 x (*.f64 y (/.f64 z t)))
(-.f64 x (/.f64 (*.f64 y z) t))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(fma.f64 -1 (/.f64 y (/.f64 t z)) x)
(-.f64 x (*.f64 (/.f64 y t) z))
(-.f64 x (*.f64 z (/.f64 y t)))
(-.f64 x (*.f64 y (/.f64 z t)))
(-.f64 x (/.f64 (*.f64 y z) t))
(*.f64 -1 (/.f64 (*.f64 y z) t))
(neg.f64 (/.f64 y (/.f64 t z)))
(/.f64 (neg.f64 (*.f64 y z)) t)
(/.f64 (neg.f64 y) (/.f64 t z))
(*.f64 y (/.f64 (neg.f64 z) t))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(fma.f64 -1 (/.f64 y (/.f64 t z)) x)
(-.f64 x (*.f64 (/.f64 y t) z))
(-.f64 x (*.f64 z (/.f64 y t)))
(-.f64 x (*.f64 y (/.f64 z t)))
(-.f64 x (/.f64 (*.f64 y z) t))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(fma.f64 -1 (/.f64 y (/.f64 t z)) x)
(-.f64 x (*.f64 (/.f64 y t) z))
(-.f64 x (*.f64 z (/.f64 y t)))
(-.f64 x (*.f64 y (/.f64 z t)))
(-.f64 x (/.f64 (*.f64 y z) t))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(fma.f64 -1 (/.f64 y (/.f64 t z)) x)
(-.f64 x (*.f64 (/.f64 y t) z))
(-.f64 x (*.f64 z (/.f64 y t)))
(-.f64 x (*.f64 y (/.f64 z t)))
(-.f64 x (/.f64 (*.f64 y z) t))
x
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(fma.f64 -1 (/.f64 y (/.f64 t z)) x)
(-.f64 x (*.f64 (/.f64 y t) z))
(-.f64 x (*.f64 z (/.f64 y t)))
(-.f64 x (*.f64 y (/.f64 z t)))
(-.f64 x (/.f64 (*.f64 y z) t))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(fma.f64 -1 (/.f64 y (/.f64 t z)) x)
(-.f64 x (*.f64 (/.f64 y t) z))
(-.f64 x (*.f64 z (/.f64 y t)))
(-.f64 x (*.f64 y (/.f64 z t)))
(-.f64 x (/.f64 (*.f64 y z) t))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(fma.f64 -1 (/.f64 y (/.f64 t z)) x)
(-.f64 x (*.f64 (/.f64 y t) z))
(-.f64 x (*.f64 z (/.f64 y t)))
(-.f64 x (*.f64 y (/.f64 z t)))
(-.f64 x (/.f64 (*.f64 y z) t))
x
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(fma.f64 -1 (/.f64 y (/.f64 t z)) x)
(-.f64 x (*.f64 (/.f64 y t) z))
(-.f64 x (*.f64 z (/.f64 y t)))
(-.f64 x (*.f64 y (/.f64 z t)))
(-.f64 x (/.f64 (*.f64 y z) t))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(fma.f64 -1 (/.f64 y (/.f64 t z)) x)
(-.f64 x (*.f64 (/.f64 y t) z))
(-.f64 x (*.f64 z (/.f64 y t)))
(-.f64 x (*.f64 y (/.f64 z t)))
(-.f64 x (/.f64 (*.f64 y z) t))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(fma.f64 -1 (/.f64 y (/.f64 t z)) x)
(-.f64 x (*.f64 (/.f64 y t) z))
(-.f64 x (*.f64 z (/.f64 y t)))
(-.f64 x (*.f64 y (/.f64 z t)))
(-.f64 x (/.f64 (*.f64 y z) t))

localize10.0ms (0%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(-.f64 x (*.f64 y (/.f64 (expm1.f64 z) t)))
✓2.6b
(*.f64 y (/.f64 (expm1.f64 z) t))
Compiler

Compiled 28 to 8 computations (71.4% saved)

series14.0ms (0.1%)

Counts
2 → 84
Calls

21 calls:

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

rewrite109.0ms (0.4%)

Algorithm
1×batch-egg-rewrite
Rules
672×prod-diff_binary64
539×log-prod_binary64
342×pow-prod-down_binary64
273×pow2_binary64
223×fma-def_binary64
Iterations

Useful iterations: 0 (0.0ms)

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

simplify116.0ms (0.5%)

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

Useful iterations: 4 (0.0ms)

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

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

Compiled 39 to 20 computations (48.7% saved)

series34.0ms (0.1%)

Counts
4 → 52
Calls

30 calls:

TimeVariablePointExpression
22.0ms
z
@-inf
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
1.0ms
t
@0
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
1.0ms
t
@inf
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
1.0ms
y
@0
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
1.0ms
z
@inf
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)

rewrite149.0ms (0.6%)

Algorithm
1×batch-egg-rewrite
Rules
666×prod-diff_binary64
607×log-prod_binary64
312×pow2_binary64
282×fma-def_binary64
216×pow1/3_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01130
123730
2335530
Stop Event
1×node limit
Counts
4 → 313
Calls
Call 1
Inputs
(-.f64 (exp.f64 z) 1)
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(*.f64 (-.f64 (exp.f64 z) 1) y)
(-.f64 x (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
Outputs
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simplify192.0ms (0.8%)

Algorithm
1×egg-herbie
Rules
588×associate-*l*_binary64
489×distribute-rgt-out_binary64
358×associate-/l*_binary64
332×cancel-sign-sub-inv_binary64
315×associate-*l/_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
068711
1192671
2507660
31584617
44600608
Stop Event
1×node limit
Counts
365 → 349
Calls
Call 1
Inputs
z
(+.f64 (*.f64 1/2 (pow.f64 z 2)) z)
(+.f64 (*.f64 1/2 (pow.f64 z 2)) (+.f64 z (*.f64 1/6 (pow.f64 z 3))))
(+.f64 (*.f64 1/24 (pow.f64 z 4)) (+.f64 (*.f64 1/2 (pow.f64 z 2)) (+.f64 z (*.f64 1/6 (pow.f64 z 3)))))
(/.f64 (*.f64 y z) t)
(+.f64 (/.f64 (*.f64 y z) t) (*.f64 1/2 (/.f64 (*.f64 y (pow.f64 z 2)) t)))
(+.f64 (*.f64 1/6 (/.f64 (*.f64 y (pow.f64 z 3)) t)) (+.f64 (/.f64 (*.f64 y z) t) (*.f64 1/2 (/.f64 (*.f64 y (pow.f64 z 2)) t))))
(+.f64 (*.f64 1/24 (/.f64 (*.f64 y (pow.f64 z 4)) t)) (+.f64 (*.f64 1/6 (/.f64 (*.f64 y (pow.f64 z 3)) t)) (+.f64 (/.f64 (*.f64 y z) t) (*.f64 1/2 (/.f64 (*.f64 y (pow.f64 z 2)) t)))))
(*.f64 y z)
(+.f64 (*.f64 y z) (*.f64 1/2 (*.f64 y (pow.f64 z 2))))
(+.f64 (*.f64 y z) (+.f64 (*.f64 1/2 (*.f64 y (pow.f64 z 2))) (*.f64 1/6 (*.f64 y (pow.f64 z 3)))))
(+.f64 (*.f64 y z) (+.f64 (*.f64 1/2 (*.f64 y (pow.f64 z 2))) (+.f64 (*.f64 1/24 (*.f64 y (pow.f64 z 4))) (*.f64 1/6 (*.f64 y (pow.f64 z 3))))))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)) x)
x
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)) x)
x
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)) x)
x
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 y (pow.f64 z 2)) t)) x))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 y (pow.f64 z 2)) t)) (+.f64 (*.f64 -1/6 (/.f64 (*.f64 y (pow.f64 z 3)) t)) x)))
x
(+.f64 (*.f64 y (-.f64 (/.f64 1 t) (/.f64 (exp.f64 z) t))) x)
(+.f64 (*.f64 y (-.f64 (/.f64 1 t) (/.f64 (exp.f64 z) t))) x)
(+.f64 (*.f64 y (-.f64 (/.f64 1 t) (/.f64 (exp.f64 z) t))) x)
(*.f64 y (-.f64 (/.f64 1 t) (/.f64 (exp.f64 z) t)))
(+.f64 (*.f64 y (-.f64 (/.f64 1 t) (/.f64 (exp.f64 z) t))) x)
(+.f64 (*.f64 y (-.f64 (/.f64 1 t) (/.f64 (exp.f64 z) t))) x)
(+.f64 (*.f64 y (-.f64 (/.f64 1 t) (/.f64 (exp.f64 z) t))) x)
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)) x)
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)) x)
x
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)) x)
x
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)) x)
Outputs
z
(+.f64 (*.f64 1/2 (pow.f64 z 2)) z)
(fma.f64 1/2 (*.f64 z z) z)
(fma.f64 z (*.f64 z 1/2) z)
(+.f64 (*.f64 1/2 (pow.f64 z 2)) (+.f64 z (*.f64 1/6 (pow.f64 z 3))))
(fma.f64 1/2 (*.f64 z z) (+.f64 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 z (*.f64 z 1/2) (fma.f64 1/6 (pow.f64 z 3) z))
(+.f64 (*.f64 1/24 (pow.f64 z 4)) (+.f64 (*.f64 1/2 (pow.f64 z 2)) (+.f64 z (*.f64 1/6 (pow.f64 z 3)))))
(fma.f64 1/24 (pow.f64 z 4) (fma.f64 1/2 (*.f64 z z) (+.f64 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 z (*.f64 z 1/2) (fma.f64 1/24 (pow.f64 z 4) (fma.f64 1/6 (pow.f64 z 3) z)))
(+.f64 z (*.f64 (*.f64 z z) (+.f64 1/2 (*.f64 z (+.f64 1/6 (*.f64 z 1/24))))))
(/.f64 (*.f64 y z) t)
(/.f64 y (/.f64 t z))
(/.f64 (*.f64 z y) t)
(*.f64 z (/.f64 y t))
(+.f64 (/.f64 (*.f64 y z) t) (*.f64 1/2 (/.f64 (*.f64 y (pow.f64 z 2)) t)))
(+.f64 (/.f64 y (/.f64 t z)) (*.f64 1/2 (/.f64 y (/.f64 t (*.f64 z z)))))
(fma.f64 1/2 (*.f64 (/.f64 y t) (*.f64 z z)) (/.f64 (*.f64 z y) t))
(fma.f64 1/2 (*.f64 (*.f64 z z) (/.f64 y t)) (*.f64 z (/.f64 y t)))
(*.f64 (/.f64 y t) (fma.f64 z (*.f64 z 1/2) z))
(+.f64 (*.f64 1/6 (/.f64 (*.f64 y (pow.f64 z 3)) t)) (+.f64 (/.f64 (*.f64 y z) t) (*.f64 1/2 (/.f64 (*.f64 y (pow.f64 z 2)) t))))
(fma.f64 1/6 (/.f64 y (/.f64 t (pow.f64 z 3))) (+.f64 (/.f64 y (/.f64 t z)) (*.f64 1/2 (/.f64 y (/.f64 t (*.f64 z z))))))
(fma.f64 1/6 (*.f64 (/.f64 y t) (pow.f64 z 3)) (fma.f64 1/2 (*.f64 (/.f64 y t) (*.f64 z z)) (/.f64 (*.f64 z y) t)))
(fma.f64 1/2 (*.f64 (*.f64 z z) (/.f64 y t)) (fma.f64 1/6 (*.f64 (pow.f64 z 3) (/.f64 y t)) (*.f64 z (/.f64 y t))))
(fma.f64 (/.f64 y t) z (*.f64 (/.f64 y t) (*.f64 (*.f64 z z) (+.f64 1/2 (*.f64 z 1/6)))))
(*.f64 (/.f64 y t) (-.f64 z (*.f64 (*.f64 z z) (+.f64 -1/2 (*.f64 z -1/6)))))
(+.f64 (*.f64 1/24 (/.f64 (*.f64 y (pow.f64 z 4)) t)) (+.f64 (*.f64 1/6 (/.f64 (*.f64 y (pow.f64 z 3)) t)) (+.f64 (/.f64 (*.f64 y z) t) (*.f64 1/2 (/.f64 (*.f64 y (pow.f64 z 2)) t)))))
(fma.f64 1/24 (/.f64 y (/.f64 t (pow.f64 z 4))) (fma.f64 1/6 (/.f64 y (/.f64 t (pow.f64 z 3))) (+.f64 (/.f64 y (/.f64 t z)) (*.f64 1/2 (/.f64 y (/.f64 t (*.f64 z z)))))))
(fma.f64 1/24 (/.f64 y (/.f64 t (pow.f64 z 4))) (fma.f64 1/6 (*.f64 (/.f64 y t) (pow.f64 z 3)) (fma.f64 1/2 (*.f64 (/.f64 y t) (*.f64 z z)) (/.f64 (*.f64 z y) t))))
(fma.f64 1/6 (*.f64 (pow.f64 z 3) (/.f64 y t)) (fma.f64 1/24 (/.f64 y (/.f64 t (pow.f64 z 4))) (fma.f64 1/2 (*.f64 (*.f64 z z) (/.f64 y t)) (*.f64 z (/.f64 y t)))))
(+.f64 (*.f64 (/.f64 y t) (fma.f64 z (*.f64 z 1/2) z)) (*.f64 (/.f64 y t) (*.f64 (pow.f64 z 3) (+.f64 1/6 (*.f64 z 1/24)))))
(*.f64 y z)
(*.f64 z y)
(+.f64 (*.f64 y z) (*.f64 1/2 (*.f64 y (pow.f64 z 2))))
(fma.f64 y z (*.f64 (*.f64 1/2 y) (*.f64 z z)))
(fma.f64 z y (*.f64 (*.f64 (*.f64 1/2 y) z) z))
(*.f64 y (fma.f64 z (*.f64 z 1/2) z))
(*.f64 (fma.f64 z (*.f64 z 1/2) z) y)
(+.f64 (*.f64 y z) (+.f64 (*.f64 1/2 (*.f64 y (pow.f64 z 2))) (*.f64 1/6 (*.f64 y (pow.f64 z 3)))))
(fma.f64 y z (fma.f64 1/2 (*.f64 (*.f64 z z) y) (*.f64 1/6 (*.f64 (pow.f64 z 3) y))))
(fma.f64 z y (fma.f64 (*.f64 1/6 y) (pow.f64 z 3) (*.f64 (*.f64 (*.f64 1/2 y) z) z)))
(fma.f64 z y (*.f64 y (*.f64 (*.f64 z z) (+.f64 (*.f64 z 1/6) 1/2))))
(*.f64 y (fma.f64 z (*.f64 z 1/2) (fma.f64 1/6 (pow.f64 z 3) z)))
(+.f64 (*.f64 y z) (+.f64 (*.f64 1/2 (*.f64 y (pow.f64 z 2))) (+.f64 (*.f64 1/24 (*.f64 y (pow.f64 z 4))) (*.f64 1/6 (*.f64 y (pow.f64 z 3))))))
(fma.f64 y z (fma.f64 1/2 (*.f64 (*.f64 z z) y) (fma.f64 1/24 (*.f64 (pow.f64 z 4) y) (*.f64 1/6 (*.f64 (pow.f64 z 3) y)))))
(fma.f64 z y (fma.f64 1/2 (*.f64 z (*.f64 z y)) (fma.f64 1/6 (*.f64 (pow.f64 z 3) y) (*.f64 1/24 (*.f64 (pow.f64 z 4) y)))))
(+.f64 (*.f64 y (fma.f64 z (*.f64 z 1/2) z)) (*.f64 y (fma.f64 1/6 (pow.f64 z 3) (*.f64 1/24 (pow.f64 z 4)))))
(*.f64 y (+.f64 z (*.f64 (*.f64 z z) (+.f64 1/2 (*.f64 z (+.f64 1/6 (*.f64 z 1/24)))))))
(*.f64 y (fma.f64 z (*.f64 z 1/2) (fma.f64 1/24 (pow.f64 z 4) (fma.f64 1/6 (pow.f64 z 3) z))))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(neg.f64 (/.f64 (expm1.f64 z) (/.f64 t y)))
(/.f64 (neg.f64 (*.f64 y (expm1.f64 z))) t)
(*.f64 (/.f64 (expm1.f64 z) t) (neg.f64 y))
(*.f64 (neg.f64 y) (/.f64 (expm1.f64 z) t))
(*.f64 y (/.f64 (neg.f64 (expm1.f64 z)) t))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)) x)
(fma.f64 -1 (/.f64 (expm1.f64 z) (/.f64 t y)) x)
(-.f64 x (*.f64 (/.f64 (expm1.f64 z) t) y))
(-.f64 x (*.f64 y (/.f64 (expm1.f64 z) t)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)) x)
(fma.f64 -1 (/.f64 (expm1.f64 z) (/.f64 t y)) x)
(-.f64 x (*.f64 (/.f64 (expm1.f64 z) t) y))
(-.f64 x (*.f64 y (/.f64 (expm1.f64 z) t)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)) x)
(fma.f64 -1 (/.f64 (expm1.f64 z) (/.f64 t y)) x)
(-.f64 x (*.f64 (/.f64 (expm1.f64 z) t) y))
(-.f64 x (*.f64 y (/.f64 (expm1.f64 z) t)))
x
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)) x)
(fma.f64 -1 (/.f64 (expm1.f64 z) (/.f64 t y)) x)
(-.f64 x (*.f64 (/.f64 (expm1.f64 z) t) y))
(-.f64 x (*.f64 y (/.f64 (expm1.f64 z) t)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)) x)
(fma.f64 -1 (/.f64 (expm1.f64 z) (/.f64 t y)) x)
(-.f64 x (*.f64 (/.f64 (expm1.f64 z) t) y))
(-.f64 x (*.f64 y (/.f64 (expm1.f64 z) t)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)) x)
(fma.f64 -1 (/.f64 (expm1.f64 z) (/.f64 t y)) x)
(-.f64 x (*.f64 (/.f64 (expm1.f64 z) t) y))
(-.f64 x (*.f64 y (/.f64 (expm1.f64 z) t)))
x
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)) x)
(fma.f64 -1 (/.f64 (expm1.f64 z) (/.f64 t y)) x)
(-.f64 x (*.f64 (/.f64 (expm1.f64 z) t) y))
(-.f64 x (*.f64 y (/.f64 (expm1.f64 z) t)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)) x)
(fma.f64 -1 (/.f64 (expm1.f64 z) (/.f64 t y)) x)
(-.f64 x (*.f64 (/.f64 (expm1.f64 z) t) y))
(-.f64 x (*.f64 y (/.f64 (expm1.f64 z) t)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)) x)
(fma.f64 -1 (/.f64 (expm1.f64 z) (/.f64 t y)) x)
(-.f64 x (*.f64 (/.f64 (expm1.f64 z) t) y))
(-.f64 x (*.f64 y (/.f64 (expm1.f64 z) t)))
x
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(fma.f64 -1 (/.f64 y (/.f64 t z)) x)
(-.f64 x (/.f64 (*.f64 z y) t))
(-.f64 x (*.f64 z (/.f64 y t)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 y (pow.f64 z 2)) t)) x))
(fma.f64 -1 (/.f64 y (/.f64 t z)) (fma.f64 -1/2 (/.f64 y (/.f64 t (*.f64 z z))) x))
(-.f64 (fma.f64 (*.f64 (/.f64 y t) (*.f64 z z)) -1/2 x) (/.f64 (*.f64 z y) t))
(-.f64 (fma.f64 (*.f64 (*.f64 z z) (/.f64 y t)) -1/2 x) (*.f64 z (/.f64 y t)))
(-.f64 x (*.f64 (/.f64 y t) (fma.f64 z (*.f64 z 1/2) z)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 y (pow.f64 z 2)) t)) (+.f64 (*.f64 -1/6 (/.f64 (*.f64 y (pow.f64 z 3)) t)) x)))
(fma.f64 -1 (/.f64 y (/.f64 t z)) (fma.f64 -1/2 (/.f64 y (/.f64 t (*.f64 z z))) (fma.f64 -1/6 (/.f64 y (/.f64 t (pow.f64 z 3))) x)))
(-.f64 (fma.f64 (*.f64 (/.f64 y t) (*.f64 z z)) -1/2 (fma.f64 (*.f64 (/.f64 y t) (pow.f64 z 3)) -1/6 x)) (/.f64 (*.f64 z y) t))
(fma.f64 (*.f64 (*.f64 z z) (/.f64 y t)) -1/2 (-.f64 (fma.f64 (*.f64 (pow.f64 z 3) (/.f64 y t)) -1/6 x) (*.f64 z (/.f64 y t))))
(-.f64 (fma.f64 (*.f64 (*.f64 z z) (/.f64 y t)) -1/2 x) (*.f64 (/.f64 y t) (fma.f64 1/6 (pow.f64 z 3) z)))
(+.f64 x (*.f64 (/.f64 y t) (-.f64 (*.f64 (*.f64 z z) (+.f64 -1/2 (*.f64 z -1/6))) z)))
x
(+.f64 (*.f64 y (-.f64 (/.f64 1 t) (/.f64 (exp.f64 z) t))) x)
(fma.f64 -1 (/.f64 (expm1.f64 z) (/.f64 t y)) x)
(-.f64 x (*.f64 (/.f64 (expm1.f64 z) t) y))
(-.f64 x (*.f64 y (/.f64 (expm1.f64 z) t)))
(+.f64 (*.f64 y (-.f64 (/.f64 1 t) (/.f64 (exp.f64 z) t))) x)
(fma.f64 -1 (/.f64 (expm1.f64 z) (/.f64 t y)) x)
(-.f64 x (*.f64 (/.f64 (expm1.f64 z) t) y))
(-.f64 x (*.f64 y (/.f64 (expm1.f64 z) t)))
(+.f64 (*.f64 y (-.f64 (/.f64 1 t) (/.f64 (exp.f64 z) t))) x)
(fma.f64 -1 (/.f64 (expm1.f64 z) (/.f64 t y)) x)
(-.f64 x (*.f64 (/.f64 (expm1.f64 z) t) y))
(-.f64 x (*.f64 y (/.f64 (expm1.f64 z) t)))
(*.f64 y (-.f64 (/.f64 1 t) (/.f64 (exp.f64 z) t)))
(neg.f64 (/.f64 (expm1.f64 z) (/.f64 t y)))
(/.f64 (neg.f64 (*.f64 y (expm1.f64 z))) t)
(*.f64 (/.f64 (expm1.f64 z) t) (neg.f64 y))
(*.f64 (neg.f64 y) (/.f64 (expm1.f64 z) t))
(*.f64 y (/.f64 (neg.f64 (expm1.f64 z)) t))
(+.f64 (*.f64 y (-.f64 (/.f64 1 t) (/.f64 (exp.f64 z) t))) x)
(fma.f64 -1 (/.f64 (expm1.f64 z) (/.f64 t y)) x)
(-.f64 x (*.f64 (/.f64 (expm1.f64 z) t) y))
(-.f64 x (*.f64 y (/.f64 (expm1.f64 z) t)))
(+.f64 (*.f64 y (-.f64 (/.f64 1 t) (/.f64 (exp.f64 z) t))) x)
(fma.f64 -1 (/.f64 (expm1.f64 z) (/.f64 t y)) x)
(-.f64 x (*.f64 (/.f64 (expm1.f64 z) t) y))
(-.f64 x (*.f64 y (/.f64 (expm1.f64 z) t)))
(+.f64 (*.f64 y (-.f64 (/.f64 1 t) (/.f64 (exp.f64 z) t))) x)
(fma.f64 -1 (/.f64 (expm1.f64 z) (/.f64 t y)) x)
(-.f64 x (*.f64 (/.f64 (expm1.f64 z) t) y))
(-.f64 x (*.f64 y (/.f64 (expm1.f64 z) t)))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(neg.f64 (/.f64 (expm1.f64 z) (/.f64 t y)))
(/.f64 (neg.f64 (*.f64 y (expm1.f64 z))) t)
(*.f64 (/.f64 (expm1.f64 z) t) (neg.f64 y))
(*.f64 (neg.f64 y) (/.f64 (expm1.f64 z) t))
(*.f64 y (/.f64 (neg.f64 (expm1.f64 z)) t))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)) x)
(fma.f64 -1 (/.f64 (expm1.f64 z) (/.f64 t y)) x)
(-.f64 x (*.f64 (/.f64 (expm1.f64 z) t) y))
(-.f64 x (*.f64 y (/.f64 (expm1.f64 z) t)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)) x)
(fma.f64 -1 (/.f64 (expm1.f64 z) (/.f64 t y)) x)
(-.f64 x (*.f64 (/.f64 (expm1.f64 z) t) y))
(-.f64 x (*.f64 y (/.f64 (expm1.f64 z) t)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)) x)
(fma.f64 -1 (/.f64 (expm1.f64 z) (/.f64 t y)) x)
(-.f64 x (*.f64 (/.f64 (expm1.f64 z) t) y))
(-.f64 x (*.f64 y (/.f64 (expm1.f64 z) t)))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(neg.f64 (/.f64 (expm1.f64 z) (/.f64 t y)))
(/.f64 (neg.f64 (*.f64 y (expm1.f64 z))) t)
(*.f64 (/.f64 (expm1.f64 z) t) (neg.f64 y))
(*.f64 (neg.f64 y) (/.f64 (expm1.f64 z) t))
(*.f64 y (/.f64 (neg.f64 (expm1.f64 z)) t))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)) x)
(fma.f64 -1 (/.f64 (expm1.f64 z) (/.f64 t y)) x)
(-.f64 x (*.f64 (/.f64 (expm1.f64 z) t) y))
(-.f64 x (*.f64 y (/.f64 (expm1.f64 z) t)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)) x)
(fma.f64 -1 (/.f64 (expm1.f64 z) (/.f64 t y)) x)
(-.f64 x (*.f64 (/.f64 (expm1.f64 z) t) y))
(-.f64 x (*.f64 y (/.f64 (expm1.f64 z) t)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)) x)
(fma.f64 -1 (/.f64 (expm1.f64 z) (/.f64 t y)) x)
(-.f64 x (*.f64 (/.f64 (expm1.f64 z) t) y))
(-.f64 x (*.f64 y (/.f64 (expm1.f64 z) t)))
x
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)) x)
(fma.f64 -1 (/.f64 (expm1.f64 z) (/.f64 t y)) x)
(-.f64 x (*.f64 (/.f64 (expm1.f64 z) t) y))
(-.f64 x (*.f64 y (/.f64 (expm1.f64 z) t)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)) x)
(fma.f64 -1 (/.f64 (expm1.f64 z) (/.f64 t y)) x)
(-.f64 x (*.f64 (/.f64 (expm1.f64 z) t) y))
(-.f64 x (*.f64 y (/.f64 (expm1.f64 z) t)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)) x)
(fma.f64 -1 (/.f64 (expm1.f64 z) (/.f64 t y)) x)
(-.f64 x (*.f64 (/.f64 (expm1.f64 z) t) y))
(-.f64 x (*.f64 y (/.f64 (expm1.f64 z) t)))
x
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)) x)
(fma.f64 -1 (/.f64 (expm1.f64 z) (/.f64 t y)) x)
(-.f64 x (*.f64 (/.f64 (expm1.f64 z) t) y))
(-.f64 x (*.f64 y (/.f64 (expm1.f64 z) t)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)) x)
(fma.f64 -1 (/.f64 (expm1.f64 z) (/.f64 t y)) x)
(-.f64 x (*.f64 (/.f64 (expm1.f64 z) t) y))
(-.f64 x (*.f64 y (/.f64 (expm1.f64 z) t)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)) x)
(fma.f64 -1 (/.f64 (expm1.f64 z) (/.f64 t y)) x)
(-.f64 x (*.f64 (/.f64 (expm1.f64 z) t) y))
(-.f64 x (*.f64 y (/.f64 (expm1.f64 z) t)))

localize17.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(*.f64 y (expm1.f64 z))
0.3b
(log1p.f64 (*.f64 y (expm1.f64 z)))
✓4.9b
(*.f64 (/.f64 1 t) (log1p.f64 (*.f64 y (expm1.f64 z))))
Compiler

Compiled 43 to 17 computations (60.5% saved)

series3.0ms (0%)

Counts
1 → 36
Calls

9 calls:

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

rewrite78.0ms (0.3%)

Algorithm
1×batch-egg-rewrite
Rules
872×pow1_binary64
798×add-log-exp_binary64
798×expm1-log1p-u_binary64
797×log1p-expm1-u_binary64
779×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01011
119311
2223911
Stop Event
1×node limit
Counts
1 → 24
Calls
Call 1
Inputs
(*.f64 (/.f64 1 t) (log1p.f64 (*.f64 y (expm1.f64 z))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (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 (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 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (neg.f64 t))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (sqrt.f64 t)) (sqrt.f64 t))))) (#(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 (log1p.f64 (*.f64 y (expm1.f64 z))) (pow.f64 (cbrt.f64 t) 2)) (cbrt.f64 t))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (log1p.f64 (*.f64 y (expm1.f64 z)))) (neg.f64 t))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) -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 (exp.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 cbrt.f64 (*.f64 (/.f64 (pow.f64 t -2) t) (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 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 expm1.f64 (log1p.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))))))

simplify60.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
409×associate-*r*_binary64
390×unswap-sqr_binary64
376×associate-*l*_binary64
333×cancel-sign-sub-inv_binary64
309×fma-def_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0120924
1343896
21080873
35421865
Stop Event
1×node limit
Counts
60 → 58
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)
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 y (/.f64 (expm1.f64 z) t))
(+.f64 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t) (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (pow.f64 y 2)) t)))
(+.f64 (/.f64 (expm1.f64 z) (/.f64 t y)) (*.f64 -1/2 (/.f64 (pow.f64 (expm1.f64 z) 2) (/.f64 t (*.f64 y y)))))
(fma.f64 -1/2 (*.f64 (/.f64 (pow.f64 (expm1.f64 z) 2) t) (*.f64 y y)) (/.f64 (expm1.f64 z) (/.f64 t y)))
(fma.f64 -1/2 (*.f64 (*.f64 y y) (/.f64 (pow.f64 (expm1.f64 z) 2) t)) (*.f64 y (/.f64 (expm1.f64 z) t)))
(*.f64 y (+.f64 (/.f64 (expm1.f64 z) t) (/.f64 (*.f64 -1/2 (pow.f64 (expm1.f64 z) 2)) (/.f64 t y))))
(+.f64 (*.f64 1/3 (/.f64 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 3) (pow.f64 y 3)) t)) (+.f64 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t) (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (pow.f64 y 2)) t))))
(fma.f64 1/3 (/.f64 (pow.f64 (expm1.f64 z) 3) (/.f64 t (pow.f64 y 3))) (+.f64 (/.f64 (expm1.f64 z) (/.f64 t y)) (*.f64 -1/2 (/.f64 (pow.f64 (expm1.f64 z) 2) (/.f64 t (*.f64 y y))))))
(fma.f64 1/3 (*.f64 (/.f64 (pow.f64 (expm1.f64 z) 3) t) (pow.f64 y 3)) (fma.f64 -1/2 (*.f64 (/.f64 (pow.f64 (expm1.f64 z) 2) t) (*.f64 y y)) (/.f64 (expm1.f64 z) (/.f64 t y))))
(fma.f64 -1/2 (*.f64 (*.f64 y y) (/.f64 (pow.f64 (expm1.f64 z) 2) t)) (fma.f64 1/3 (*.f64 (pow.f64 y 3) (/.f64 (pow.f64 (expm1.f64 z) 3) t)) (*.f64 y (/.f64 (expm1.f64 z) t))))
(fma.f64 1/3 (*.f64 (pow.f64 y 3) (/.f64 (pow.f64 (expm1.f64 z) 3) t)) (*.f64 y (+.f64 (/.f64 (expm1.f64 z) t) (/.f64 (*.f64 -1/2 (pow.f64 (expm1.f64 z) 2)) (/.f64 t y)))))
(+.f64 (*.f64 -1/4 (/.f64 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 4) (pow.f64 y 4)) t)) (+.f64 (*.f64 1/3 (/.f64 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 3) (pow.f64 y 3)) t)) (+.f64 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t) (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (pow.f64 y 2)) t)))))
(fma.f64 -1/4 (/.f64 (pow.f64 (expm1.f64 z) 4) (/.f64 t (pow.f64 y 4))) (fma.f64 1/3 (/.f64 (pow.f64 (expm1.f64 z) 3) (/.f64 t (pow.f64 y 3))) (+.f64 (/.f64 (expm1.f64 z) (/.f64 t y)) (*.f64 -1/2 (/.f64 (pow.f64 (expm1.f64 z) 2) (/.f64 t (*.f64 y y)))))))
(fma.f64 -1/4 (*.f64 (/.f64 (pow.f64 (expm1.f64 z) 4) t) (pow.f64 y 4)) (fma.f64 1/3 (*.f64 (/.f64 (pow.f64 (expm1.f64 z) 3) t) (pow.f64 y 3)) (fma.f64 -1/2 (*.f64 (/.f64 (pow.f64 (expm1.f64 z) 2) t) (*.f64 y y)) (/.f64 (expm1.f64 z) (/.f64 t y)))))
(fma.f64 -1/4 (*.f64 (pow.f64 y 4) (/.f64 (pow.f64 (expm1.f64 z) 4) t)) (fma.f64 -1/2 (*.f64 (*.f64 y y) (/.f64 (pow.f64 (expm1.f64 z) 2) t)) (fma.f64 1/3 (*.f64 (pow.f64 y 3) (/.f64 (pow.f64 (expm1.f64 z) 3) t)) (*.f64 y (/.f64 (expm1.f64 z) t)))))
(fma.f64 -1/4 (*.f64 (pow.f64 y 4) (/.f64 (pow.f64 (expm1.f64 z) 4) t)) (fma.f64 1/3 (*.f64 (pow.f64 y 3) (/.f64 (pow.f64 (expm1.f64 z) 3) t)) (*.f64 y (+.f64 (/.f64 (expm1.f64 z) t) (/.f64 (*.f64 -1/2 (pow.f64 (expm1.f64 z) 2)) (/.f64 t y))))))
(/.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) t)
(/.f64 (+.f64 (log.f64 (expm1.f64 z)) (neg.f64 (neg.f64 (log.f64 y)))) t)
(/.f64 (+.f64 (log.f64 (expm1.f64 z)) (log.f64 y)) t)
(+.f64 (/.f64 (log.f64 (-.f64 (exp.f64 z) 1)) t) (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 y)) t)) (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) (*.f64 y t)))))
(+.f64 (/.f64 (log.f64 (expm1.f64 z)) t) (fma.f64 -1 (/.f64 (neg.f64 (log.f64 y)) t) (/.f64 (/.f64 1 (expm1.f64 z)) (*.f64 y t))))
(+.f64 (/.f64 (log.f64 (expm1.f64 z)) t) (+.f64 (/.f64 (log.f64 y) t) (/.f64 1 (*.f64 (expm1.f64 z) (*.f64 y t)))))
(+.f64 (/.f64 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 (/.f64 1 (expm1.f64 z)) (*.f64 y t))) (/.f64 1/2 (*.f64 (pow.f64 (expm1.f64 z) 2) (*.f64 t (*.f64 y y))))))
(+.f64 (+.f64 (/.f64 (log.f64 (expm1.f64 z)) t) (+.f64 (/.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 y (*.f64 y t)))))
(+.f64 (/.f64 1 (*.f64 (*.f64 (expm1.f64 z) y) t)) (-.f64 (/.f64 (+.f64 (log.f64 (expm1.f64 z)) (log.f64 y)) t) (/.f64 1/2 (*.f64 y (*.f64 y (*.f64 t (pow.f64 (expm1.f64 z) 2)))))))
(+.f64 (/.f64 -1/2 (*.f64 y (*.f64 y (*.f64 t (pow.f64 (expm1.f64 z) 2))))) (+.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 1/3 (/.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 (/.f64 (log.f64 (expm1.f64 z)) t) (/.f64 1/3 (*.f64 (pow.f64 (expm1.f64 z) 3) (*.f64 t (pow.f64 y 3))))) (fma.f64 -1 (/.f64 (neg.f64 (log.f64 y)) t) (/.f64 (/.f64 1 (expm1.f64 z)) (*.f64 y t)))) (/.f64 1/2 (*.f64 (pow.f64 (expm1.f64 z) 2) (*.f64 t (*.f64 y y)))))
(+.f64 (+.f64 (/.f64 (log.f64 (expm1.f64 z)) t) (+.f64 (/.f64 1 (*.f64 (expm1.f64 z) (*.f64 y t))) (+.f64 (/.f64 (log.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 y (*.f64 y t)))))
(+.f64 (+.f64 (+.f64 (/.f64 1 (*.f64 (*.f64 (expm1.f64 z) y) t)) (/.f64 (/.f64 1/3 (pow.f64 y 3)) (*.f64 t (pow.f64 (expm1.f64 z) 3)))) (/.f64 (+.f64 (log.f64 (expm1.f64 z)) (log.f64 y)) t)) (/.f64 -1/2 (*.f64 y (*.f64 y (*.f64 t (pow.f64 (expm1.f64 z) 2))))))
(+.f64 (+.f64 (/.f64 -1/2 (*.f64 y (*.f64 y (*.f64 t (pow.f64 (expm1.f64 z) 2))))) (+.f64 (/.f64 1 (*.f64 (*.f64 (expm1.f64 z) y) t)) (/.f64 (+.f64 (log.f64 (expm1.f64 z)) (log.f64 y)) t))) (/.f64 (/.f64 1/3 (pow.f64 y 3)) (*.f64 t (pow.f64 (expm1.f64 z) 3))))
(/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1)))) t)
(/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 (neg.f64 (expm1.f64 z)))) t)
(/.f64 (-.f64 (log.f64 (neg.f64 (expm1.f64 z))) (log.f64 (/.f64 -1 y))) t)
(+.f64 (/.f64 (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1))) t) (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 y)) t)) (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) (*.f64 y t)))))
(+.f64 (/.f64 (log.f64 (neg.f64 (expm1.f64 z))) t) (fma.f64 -1 (/.f64 (log.f64 (/.f64 -1 y)) t) (/.f64 (/.f64 1 (expm1.f64 z)) (*.f64 y t))))
(+.f64 (/.f64 (log.f64 (neg.f64 (expm1.f64 z))) t) (-.f64 (/.f64 1 (*.f64 (expm1.f64 z) (*.f64 y 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 (/.f64 (log.f64 (neg.f64 (expm1.f64 z))) t) (fma.f64 -1 (/.f64 (log.f64 (/.f64 -1 y)) t) (/.f64 (/.f64 1 (expm1.f64 z)) (*.f64 y t)))) (/.f64 1/2 (*.f64 (pow.f64 (expm1.f64 z) 2) (*.f64 t (*.f64 y y)))))
(+.f64 (+.f64 (/.f64 (log.f64 (neg.f64 (expm1.f64 z))) t) (-.f64 (/.f64 1 (*.f64 (expm1.f64 z) (*.f64 y t))) (/.f64 (log.f64 (/.f64 -1 y)) t))) (/.f64 -1/2 (*.f64 (pow.f64 (expm1.f64 z) 2) (*.f64 y (*.f64 y t)))))
(+.f64 (/.f64 1 (*.f64 (*.f64 (expm1.f64 z) y) t)) (-.f64 (/.f64 (-.f64 (log.f64 (neg.f64 (expm1.f64 z))) (log.f64 (/.f64 -1 y))) t) (/.f64 1/2 (*.f64 y (*.f64 y (*.f64 t (pow.f64 (expm1.f64 z) 2)))))))
(+.f64 (/.f64 1 (*.f64 (*.f64 (expm1.f64 z) y) t)) (+.f64 (/.f64 (-.f64 (log.f64 (neg.f64 (expm1.f64 z))) (log.f64 (/.f64 -1 y))) t) (/.f64 -1/2 (*.f64 y (*.f64 y (*.f64 t (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)))))
(+.f64 (/.f64 (log.f64 (neg.f64 (expm1.f64 z))) t) (-.f64 (fma.f64 -1 (/.f64 (log.f64 (/.f64 -1 y)) t) (+.f64 (/.f64 (/.f64 1 (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 (neg.f64 (expm1.f64 z))) t) (+.f64 (+.f64 (/.f64 1/3 (*.f64 (pow.f64 (expm1.f64 z) 3) (*.f64 t (pow.f64 y 3)))) (-.f64 (/.f64 1 (*.f64 (expm1.f64 z) (*.f64 y t))) (/.f64 (log.f64 (/.f64 -1 y)) t))) (/.f64 -1/2 (*.f64 (pow.f64 (expm1.f64 z) 2) (*.f64 y (*.f64 y t))))))
(+.f64 (+.f64 (/.f64 1 (*.f64 (*.f64 (expm1.f64 z) y) t)) (/.f64 (/.f64 1/3 (pow.f64 y 3)) (*.f64 t (pow.f64 (expm1.f64 z) 3)))) (+.f64 (/.f64 (-.f64 (log.f64 (neg.f64 (expm1.f64 z))) (log.f64 (/.f64 -1 y))) t) (/.f64 -1/2 (*.f64 y (*.f64 y (*.f64 t (pow.f64 (expm1.f64 z) 2)))))))
(+.f64 (/.f64 (-.f64 (log.f64 (neg.f64 (expm1.f64 z))) (log.f64 (/.f64 -1 y))) t) (+.f64 (/.f64 1 (*.f64 (*.f64 (expm1.f64 z) y) t)) (+.f64 (/.f64 (/.f64 1/3 (pow.f64 y 3)) (*.f64 t (pow.f64 (expm1.f64 z) 3))) (/.f64 -1/2 (*.f64 y (*.f64 y (*.f64 t (pow.f64 (expm1.f64 z) 2))))))))
(/.f64 (*.f64 y z) t)
(/.f64 y (/.f64 t z))
(/.f64 z (/.f64 t y))
(*.f64 z (/.f64 y 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))
(fma.f64 1/2 (/.f64 (*.f64 z z) (/.f64 t (fma.f64 -1 (*.f64 y y) y))) (/.f64 y (/.f64 t z)))
(fma.f64 1/2 (*.f64 (/.f64 (*.f64 z z) t) (-.f64 y (*.f64 y y))) (/.f64 z (/.f64 t y)))
(fma.f64 1/2 (*.f64 (-.f64 y (*.f64 y y)) (/.f64 (*.f64 z z) t)) (*.f64 z (/.f64 y 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)))
(fma.f64 1/2 (/.f64 (*.f64 z z) (/.f64 t (fma.f64 -1 (*.f64 y y) y))) (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))) (/.f64 y (/.f64 t z))))
(fma.f64 1/2 (*.f64 (/.f64 (*.f64 z z) t) (-.f64 y (*.f64 y y))) (fma.f64 1/6 (/.f64 (+.f64 y (fma.f64 2 (pow.f64 y 3) (*.f64 (*.f64 -3 y) y))) (/.f64 t (pow.f64 z 3))) (/.f64 z (/.f64 t y))))
(fma.f64 (/.f64 y t) z (fma.f64 1/2 (*.f64 (-.f64 y (*.f64 y y)) (/.f64 (*.f64 z z) t)) (*.f64 (/.f64 1/6 t) (*.f64 (fma.f64 2 (pow.f64 y 3) (fma.f64 y (*.f64 y -3) y)) (pow.f64 z 3)))))
(+.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)))))
(fma.f64 1/2 (/.f64 (*.f64 z z) (/.f64 t (fma.f64 -1 (*.f64 y y) y))) (+.f64 (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))) (/.f64 y (/.f64 t z))) (*.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 t (pow.f64 z 4))))))
(fma.f64 1/2 (*.f64 (/.f64 (*.f64 z z) t) (-.f64 y (*.f64 y y))) (fma.f64 1/6 (/.f64 (+.f64 y (fma.f64 2 (pow.f64 y 3) (*.f64 (*.f64 -3 y) y))) (/.f64 t (pow.f64 z 3))) (fma.f64 1/24 (*.f64 (/.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))))) t) (pow.f64 z 4)) (/.f64 z (/.f64 t y)))))
(fma.f64 1/6 (*.f64 (/.f64 (pow.f64 z 3) t) (fma.f64 2 (pow.f64 y 3) (fma.f64 y (*.f64 y -3) y))) (fma.f64 1/2 (*.f64 (-.f64 y (*.f64 y y)) (/.f64 (*.f64 z z) t)) (fma.f64 1/24 (*.f64 (pow.f64 z 4) (/.f64 (+.f64 (fma.f64 (pow.f64 y 4) -6 (*.f64 (*.f64 y y) (+.f64 (*.f64 y 12) -4))) (fma.f64 y (*.f64 y -3) y)) t)) (*.f64 z (/.f64 y t)))))
(fma.f64 1/6 (*.f64 (/.f64 (pow.f64 z 3) t) (fma.f64 2 (pow.f64 y 3) (fma.f64 y (*.f64 y -3) y))) (fma.f64 1/2 (*.f64 (-.f64 y (*.f64 y y)) (/.f64 (*.f64 z z) t)) (fma.f64 1/24 (*.f64 (pow.f64 z 4) (/.f64 (+.f64 y (+.f64 (*.f64 (pow.f64 y 3) (+.f64 12 (*.f64 y -6))) (*.f64 (*.f64 y y) -7))) t)) (*.f64 z (/.f64 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)

eval412.0ms (1.6%)

Compiler

Compiled 30461 to 11717 computations (61.5% saved)

prune283.0ms (1.1%)

Pruning

24 alts after pruning (20 fresh and 4 done)

PrunedKeptTotal
New1086171103
Fresh235
Picked011
Done235
Total1090241114
Error
0.2b
Counts
1114 → 24
Alt Table
Click to see full alt table
StatusErrorProgram
▶21.5b
(-.f64 x (*.f64 (/.f64 1 t) (*.f64 z y)))
24.2b
(-.f64 x (*.f64 (/.f64 y t) (-.f64 z (*.f64 z (*.f64 z -1/2)))))
21.2b
(-.f64 x (/.f64 (*.f64 z y) t))
✓9.9b
(-.f64 x (*.f64 y (/.f64 (expm1.f64 z) t)))
23.1b
(-.f64 x (/.f64 (exp.f64 (log.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) t))
19.9b
(-.f64 x (/.f64 y (/.f64 t z)))
48.6b
(*.f64 y (/.f64 (neg.f64 (expm1.f64 z)) t))
21.2b
(-.f64 x (/.f64 1 (/.f64 t (*.f64 z y))))
▶2.2b
(-.f64 x (/.f64 1 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z))))))
20.4b
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (+.f64 z (*.f64 1/2 (*.f64 z z))))) t))
✓21.6b
(-.f64 x (*.f64 z (/.f64 y t)))
20.7b
(-.f64 x (*.f64 (/.f64 1 t) (log1p.f64 (*.f64 y (+.f64 z (*.f64 1/2 (*.f64 z z)))))))
✓2.5b
(-.f64 x (*.f64 (/.f64 1 t) (log1p.f64 (*.f64 y (expm1.f64 z)))))
✓2.2b
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))
55.3b
(-.f64 x (/.f64 (+.f64 (log.f64 (expm1.f64 z)) (log.f64 y)) t))
25.1b
(-.f64 x (*.f64 (/.f64 y t) (-.f64 z (*.f64 (*.f64 z z) (+.f64 -1/2 (*.f64 z -1/6))))))
50.2b
(*.f64 (expm1.f64 z) (/.f64 (neg.f64 y) t))
▶56.4b
(*.f64 y (-.f64 (/.f64 1 t) (/.f64 (exp.f64 z) t)))
▶54.1b
(*.f64 y (/.f64 (neg.f64 z) t))
21.2b
(-.f64 x (/.f64 z (/.f64 t y)))
▶25.6b
(-.f64 x (/.f64 (*.f64 (+.f64 z (*.f64 (*.f64 z z) (+.f64 1/2 (*.f64 z (+.f64 1/6 (*.f64 z 1/24)))))) y) t))
22.1b
x
11.3b
(-.f64 x (/.f64 (expm1.f64 z) (/.f64 t y)))
15.5b
(-.f64 x (pow.f64 (+.f64 (/.f64 t (*.f64 (-.f64 (exp.f64 z) 1) y)) (*.f64 1/2 t)) -1))
Compiler

Compiled 620 to 429 computations (30.8% saved)

localize32.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(*.f64 y (expm1.f64 z))
0.3b
(log1p.f64 (*.f64 y (expm1.f64 z)))
✓0.9b
(/.f64 1 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))))
4.4b
(/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z))))
Compiler

Compiled 47 to 14 computations (70.2% saved)

series6.0ms (0%)

Counts
1 → 36
Calls

9 calls:

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

rewrite93.0ms (0.4%)

Algorithm
1×batch-egg-rewrite
Rules
955×pow1_binary64
877×add-log-exp_binary64
877×expm1-log1p-u_binary64
876×log1p-expm1-u_binary64
855×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01014
120011
2246411
Stop Event
1×node limit
Counts
1 → 36
Calls
Call 1
Inputs
(/.f64 1 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (/.f64 1 t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 2) (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (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 -1 (/.f64 1 (/.f64 (neg.f64 t) (log1p.f64 (*.f64 y (expm1.f64 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 t) (log1p.f64 (*.f64 y (expm1.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 t) (pow.f64 (/.f64 1 (log1p.f64 (*.f64 y (expm1.f64 z)))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z))))) 2) -1) (pow.f64 (cbrt.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z))))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z))))) -1) (pow.f64 (sqrt.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z))))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.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)) (/.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (cbrt.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (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 *.f64 (/.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (sqrt.f64 t)) (/.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (sqrt.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (neg.f64 t)) (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 t) 1) (log1p.f64 (*.f64 y (expm1.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 t) (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 2)) (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 t) (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (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 t (log1p.f64 (*.f64 y (expm1.f64 z)))) -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 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 expm1.f64 (log1p.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))))))

simplify75.0ms (0.3%)

Algorithm
1×egg-herbie
Rules
409×associate-*r*_binary64
390×unswap-sqr_binary64
376×associate-*l*_binary64
333×cancel-sign-sub-inv_binary64
309×fma-def_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0120924
1343896
21080873
35421865
Stop Event
1×node limit
Counts
72 → 70
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)
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 y (/.f64 (expm1.f64 z) t))
(+.f64 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t) (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (pow.f64 y 2)) t)))
(+.f64 (/.f64 (expm1.f64 z) (/.f64 t y)) (*.f64 -1/2 (/.f64 (pow.f64 (expm1.f64 z) 2) (/.f64 t (*.f64 y y)))))
(fma.f64 -1/2 (*.f64 (/.f64 (pow.f64 (expm1.f64 z) 2) t) (*.f64 y y)) (/.f64 (expm1.f64 z) (/.f64 t y)))
(fma.f64 -1/2 (*.f64 (*.f64 y y) (/.f64 (pow.f64 (expm1.f64 z) 2) t)) (*.f64 y (/.f64 (expm1.f64 z) t)))
(*.f64 y (+.f64 (/.f64 (expm1.f64 z) t) (/.f64 (*.f64 -1/2 (pow.f64 (expm1.f64 z) 2)) (/.f64 t y))))
(+.f64 (*.f64 1/3 (/.f64 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 3) (pow.f64 y 3)) t)) (+.f64 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t) (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (pow.f64 y 2)) t))))
(fma.f64 1/3 (/.f64 (pow.f64 (expm1.f64 z) 3) (/.f64 t (pow.f64 y 3))) (+.f64 (/.f64 (expm1.f64 z) (/.f64 t y)) (*.f64 -1/2 (/.f64 (pow.f64 (expm1.f64 z) 2) (/.f64 t (*.f64 y y))))))
(fma.f64 1/3 (*.f64 (/.f64 (pow.f64 (expm1.f64 z) 3) t) (pow.f64 y 3)) (fma.f64 -1/2 (*.f64 (/.f64 (pow.f64 (expm1.f64 z) 2) t) (*.f64 y y)) (/.f64 (expm1.f64 z) (/.f64 t y))))
(fma.f64 -1/2 (*.f64 (*.f64 y y) (/.f64 (pow.f64 (expm1.f64 z) 2) t)) (fma.f64 1/3 (*.f64 (pow.f64 y 3) (/.f64 (pow.f64 (expm1.f64 z) 3) t)) (*.f64 y (/.f64 (expm1.f64 z) t))))
(fma.f64 1/3 (*.f64 (pow.f64 y 3) (/.f64 (pow.f64 (expm1.f64 z) 3) t)) (*.f64 y (+.f64 (/.f64 (expm1.f64 z) t) (/.f64 (*.f64 -1/2 (pow.f64 (expm1.f64 z) 2)) (/.f64 t y)))))
(+.f64 (*.f64 -1/4 (/.f64 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 4) (pow.f64 y 4)) t)) (+.f64 (*.f64 1/3 (/.f64 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 3) (pow.f64 y 3)) t)) (+.f64 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t) (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (pow.f64 y 2)) t)))))
(fma.f64 -1/4 (/.f64 (pow.f64 (expm1.f64 z) 4) (/.f64 t (pow.f64 y 4))) (fma.f64 1/3 (/.f64 (pow.f64 (expm1.f64 z) 3) (/.f64 t (pow.f64 y 3))) (+.f64 (/.f64 (expm1.f64 z) (/.f64 t y)) (*.f64 -1/2 (/.f64 (pow.f64 (expm1.f64 z) 2) (/.f64 t (*.f64 y y)))))))
(fma.f64 -1/4 (*.f64 (/.f64 (pow.f64 (expm1.f64 z) 4) t) (pow.f64 y 4)) (fma.f64 1/3 (*.f64 (/.f64 (pow.f64 (expm1.f64 z) 3) t) (pow.f64 y 3)) (fma.f64 -1/2 (*.f64 (/.f64 (pow.f64 (expm1.f64 z) 2) t) (*.f64 y y)) (/.f64 (expm1.f64 z) (/.f64 t y)))))
(fma.f64 -1/4 (*.f64 (pow.f64 y 4) (/.f64 (pow.f64 (expm1.f64 z) 4) t)) (fma.f64 -1/2 (*.f64 (*.f64 y y) (/.f64 (pow.f64 (expm1.f64 z) 2) t)) (fma.f64 1/3 (*.f64 (pow.f64 y 3) (/.f64 (pow.f64 (expm1.f64 z) 3) t)) (*.f64 y (/.f64 (expm1.f64 z) t)))))
(fma.f64 -1/4 (*.f64 (pow.f64 y 4) (/.f64 (pow.f64 (expm1.f64 z) 4) t)) (fma.f64 1/3 (*.f64 (pow.f64 y 3) (/.f64 (pow.f64 (expm1.f64 z) 3) t)) (*.f64 y (+.f64 (/.f64 (expm1.f64 z) t) (/.f64 (*.f64 -1/2 (pow.f64 (expm1.f64 z) 2)) (/.f64 t y))))))
(/.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) t)
(/.f64 (+.f64 (log.f64 (expm1.f64 z)) (neg.f64 (neg.f64 (log.f64 y)))) t)
(/.f64 (+.f64 (log.f64 (expm1.f64 z)) (log.f64 y)) t)
(+.f64 (/.f64 (log.f64 (-.f64 (exp.f64 z) 1)) t) (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 y)) t)) (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) (*.f64 y t)))))
(+.f64 (/.f64 (log.f64 (expm1.f64 z)) t) (fma.f64 -1 (/.f64 (neg.f64 (log.f64 y)) t) (/.f64 (/.f64 1 (expm1.f64 z)) (*.f64 y t))))
(+.f64 (/.f64 (log.f64 (expm1.f64 z)) t) (+.f64 (/.f64 (log.f64 y) t) (/.f64 1 (*.f64 (expm1.f64 z) (*.f64 y t)))))
(+.f64 (/.f64 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 (/.f64 1 (expm1.f64 z)) (*.f64 y t))) (/.f64 1/2 (*.f64 (pow.f64 (expm1.f64 z) 2) (*.f64 t (*.f64 y y))))))
(+.f64 (+.f64 (/.f64 (log.f64 (expm1.f64 z)) t) (+.f64 (/.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 y (*.f64 y t)))))
(+.f64 (/.f64 1 (*.f64 (*.f64 (expm1.f64 z) y) t)) (-.f64 (/.f64 (+.f64 (log.f64 (expm1.f64 z)) (log.f64 y)) t) (/.f64 1/2 (*.f64 y (*.f64 y (*.f64 t (pow.f64 (expm1.f64 z) 2)))))))
(+.f64 (/.f64 -1/2 (*.f64 y (*.f64 y (*.f64 t (pow.f64 (expm1.f64 z) 2))))) (+.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 1/3 (/.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 (/.f64 (log.f64 (expm1.f64 z)) t) (/.f64 1/3 (*.f64 (pow.f64 (expm1.f64 z) 3) (*.f64 t (pow.f64 y 3))))) (fma.f64 -1 (/.f64 (neg.f64 (log.f64 y)) t) (/.f64 (/.f64 1 (expm1.f64 z)) (*.f64 y t)))) (/.f64 1/2 (*.f64 (pow.f64 (expm1.f64 z) 2) (*.f64 t (*.f64 y y)))))
(+.f64 (+.f64 (/.f64 (log.f64 (expm1.f64 z)) t) (+.f64 (/.f64 1 (*.f64 (expm1.f64 z) (*.f64 y t))) (+.f64 (/.f64 (log.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 y (*.f64 y t)))))
(+.f64 (+.f64 (+.f64 (/.f64 1 (*.f64 (*.f64 (expm1.f64 z) y) t)) (/.f64 (/.f64 1/3 (pow.f64 y 3)) (*.f64 t (pow.f64 (expm1.f64 z) 3)))) (/.f64 (+.f64 (log.f64 (expm1.f64 z)) (log.f64 y)) t)) (/.f64 -1/2 (*.f64 y (*.f64 y (*.f64 t (pow.f64 (expm1.f64 z) 2))))))
(+.f64 (+.f64 (/.f64 -1/2 (*.f64 y (*.f64 y (*.f64 t (pow.f64 (expm1.f64 z) 2))))) (+.f64 (/.f64 1 (*.f64 (*.f64 (expm1.f64 z) y) t)) (/.f64 (+.f64 (log.f64 (expm1.f64 z)) (log.f64 y)) t))) (/.f64 (/.f64 1/3 (pow.f64 y 3)) (*.f64 t (pow.f64 (expm1.f64 z) 3))))
(/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1)))) t)
(/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 (neg.f64 (expm1.f64 z)))) t)
(/.f64 (-.f64 (log.f64 (neg.f64 (expm1.f64 z))) (log.f64 (/.f64 -1 y))) t)
(+.f64 (/.f64 (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1))) t) (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 y)) t)) (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) (*.f64 y t)))))
(+.f64 (/.f64 (log.f64 (neg.f64 (expm1.f64 z))) t) (fma.f64 -1 (/.f64 (log.f64 (/.f64 -1 y)) t) (/.f64 (/.f64 1 (expm1.f64 z)) (*.f64 y t))))
(+.f64 (/.f64 (log.f64 (neg.f64 (expm1.f64 z))) t) (-.f64 (/.f64 1 (*.f64 (expm1.f64 z) (*.f64 y 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 (/.f64 (log.f64 (neg.f64 (expm1.f64 z))) t) (fma.f64 -1 (/.f64 (log.f64 (/.f64 -1 y)) t) (/.f64 (/.f64 1 (expm1.f64 z)) (*.f64 y t)))) (/.f64 1/2 (*.f64 (pow.f64 (expm1.f64 z) 2) (*.f64 t (*.f64 y y)))))
(+.f64 (+.f64 (/.f64 (log.f64 (neg.f64 (expm1.f64 z))) t) (-.f64 (/.f64 1 (*.f64 (expm1.f64 z) (*.f64 y t))) (/.f64 (log.f64 (/.f64 -1 y)) t))) (/.f64 -1/2 (*.f64 (pow.f64 (expm1.f64 z) 2) (*.f64 y (*.f64 y t)))))
(+.f64 (/.f64 1 (*.f64 (*.f64 (expm1.f64 z) y) t)) (-.f64 (/.f64 (-.f64 (log.f64 (neg.f64 (expm1.f64 z))) (log.f64 (/.f64 -1 y))) t) (/.f64 1/2 (*.f64 y (*.f64 y (*.f64 t (pow.f64 (expm1.f64 z) 2)))))))
(+.f64 (/.f64 1 (*.f64 (*.f64 (expm1.f64 z) y) t)) (+.f64 (/.f64 (-.f64 (log.f64 (neg.f64 (expm1.f64 z))) (log.f64 (/.f64 -1 y))) t) (/.f64 -1/2 (*.f64 y (*.f64 y (*.f64 t (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)))))
(+.f64 (/.f64 (log.f64 (neg.f64 (expm1.f64 z))) t) (-.f64 (fma.f64 -1 (/.f64 (log.f64 (/.f64 -1 y)) t) (+.f64 (/.f64 (/.f64 1 (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 (neg.f64 (expm1.f64 z))) t) (+.f64 (+.f64 (/.f64 1/3 (*.f64 (pow.f64 (expm1.f64 z) 3) (*.f64 t (pow.f64 y 3)))) (-.f64 (/.f64 1 (*.f64 (expm1.f64 z) (*.f64 y t))) (/.f64 (log.f64 (/.f64 -1 y)) t))) (/.f64 -1/2 (*.f64 (pow.f64 (expm1.f64 z) 2) (*.f64 y (*.f64 y t))))))
(+.f64 (+.f64 (/.f64 1 (*.f64 (*.f64 (expm1.f64 z) y) t)) (/.f64 (/.f64 1/3 (pow.f64 y 3)) (*.f64 t (pow.f64 (expm1.f64 z) 3)))) (+.f64 (/.f64 (-.f64 (log.f64 (neg.f64 (expm1.f64 z))) (log.f64 (/.f64 -1 y))) t) (/.f64 -1/2 (*.f64 y (*.f64 y (*.f64 t (pow.f64 (expm1.f64 z) 2)))))))
(+.f64 (/.f64 (-.f64 (log.f64 (neg.f64 (expm1.f64 z))) (log.f64 (/.f64 -1 y))) t) (+.f64 (/.f64 1 (*.f64 (*.f64 (expm1.f64 z) y) t)) (+.f64 (/.f64 (/.f64 1/3 (pow.f64 y 3)) (*.f64 t (pow.f64 (expm1.f64 z) 3))) (/.f64 -1/2 (*.f64 y (*.f64 y (*.f64 t (pow.f64 (expm1.f64 z) 2))))))))
(/.f64 (*.f64 y z) t)
(/.f64 y (/.f64 t z))
(/.f64 z (/.f64 t y))
(*.f64 z (/.f64 y 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))
(fma.f64 1/2 (/.f64 (*.f64 z z) (/.f64 t (fma.f64 -1 (*.f64 y y) y))) (/.f64 y (/.f64 t z)))
(fma.f64 1/2 (*.f64 (/.f64 (*.f64 z z) t) (-.f64 y (*.f64 y y))) (/.f64 z (/.f64 t y)))
(fma.f64 1/2 (*.f64 (-.f64 y (*.f64 y y)) (/.f64 (*.f64 z z) t)) (*.f64 z (/.f64 y 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)))
(fma.f64 1/2 (/.f64 (*.f64 z z) (/.f64 t (fma.f64 -1 (*.f64 y y) y))) (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))) (/.f64 y (/.f64 t z))))
(fma.f64 1/2 (*.f64 (/.f64 (*.f64 z z) t) (-.f64 y (*.f64 y y))) (fma.f64 1/6 (/.f64 (+.f64 y (fma.f64 2 (pow.f64 y 3) (*.f64 (*.f64 -3 y) y))) (/.f64 t (pow.f64 z 3))) (/.f64 z (/.f64 t y))))
(fma.f64 (/.f64 y t) z (fma.f64 1/2 (*.f64 (-.f64 y (*.f64 y y)) (/.f64 (*.f64 z z) t)) (*.f64 (/.f64 1/6 t) (*.f64 (fma.f64 2 (pow.f64 y 3) (fma.f64 y (*.f64 y -3) y)) (pow.f64 z 3)))))
(+.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)))))
(fma.f64 1/2 (/.f64 (*.f64 z z) (/.f64 t (fma.f64 -1 (*.f64 y y) y))) (+.f64 (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))) (/.f64 y (/.f64 t z))) (*.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 t (pow.f64 z 4))))))
(fma.f64 1/2 (*.f64 (/.f64 (*.f64 z z) t) (-.f64 y (*.f64 y y))) (fma.f64 1/6 (/.f64 (+.f64 y (fma.f64 2 (pow.f64 y 3) (*.f64 (*.f64 -3 y) y))) (/.f64 t (pow.f64 z 3))) (fma.f64 1/24 (*.f64 (/.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))))) t) (pow.f64 z 4)) (/.f64 z (/.f64 t y)))))
(fma.f64 1/6 (*.f64 (/.f64 (pow.f64 z 3) t) (fma.f64 2 (pow.f64 y 3) (fma.f64 y (*.f64 y -3) y))) (fma.f64 1/2 (*.f64 (-.f64 y (*.f64 y y)) (/.f64 (*.f64 z z) t)) (fma.f64 1/24 (*.f64 (pow.f64 z 4) (/.f64 (+.f64 (fma.f64 (pow.f64 y 4) -6 (*.f64 (*.f64 y y) (+.f64 (*.f64 y 12) -4))) (fma.f64 y (*.f64 y -3) y)) t)) (*.f64 z (/.f64 y t)))))
(fma.f64 1/6 (*.f64 (/.f64 (pow.f64 z 3) t) (fma.f64 2 (pow.f64 y 3) (fma.f64 y (*.f64 y -3) y))) (fma.f64 1/2 (*.f64 (-.f64 y (*.f64 y y)) (/.f64 (*.f64 z z) t)) (fma.f64 1/24 (*.f64 (pow.f64 z 4) (/.f64 (+.f64 y (+.f64 (*.f64 (pow.f64 y 3) (+.f64 12 (*.f64 y -6))) (*.f64 (*.f64 y y) -7))) t)) (*.f64 z (/.f64 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)

localize7.0ms (0%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓4.2b
(*.f64 y (/.f64 (neg.f64 z) t))
Compiler

Compiled 19 to 7 computations (63.2% saved)

series3.0ms (0%)

Counts
1 → 36
Calls

9 calls:

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

rewrite57.0ms (0.2%)

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

Useful iterations: 1 (0.0ms)

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

simplify28.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

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

localize12.0ms (0%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(-.f64 x (*.f64 (/.f64 1 t) (*.f64 z y)))
✓5.8b
(*.f64 (/.f64 1 t) (*.f64 z y))
Compiler

Compiled 31 to 15 computations (51.6% saved)

series6.0ms (0%)

Counts
2 → 84
Calls

21 calls:

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

rewrite107.0ms (0.4%)

Algorithm
1×batch-egg-rewrite
Rules
846×prod-diff_binary64
562×log-prod_binary64
278×pow2_binary64
252×fma-def_binary64
237×egg-rr
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01017
121317
2290017
Stop Event
1×node limit
Counts
2 → 267
Calls
Call 1
Inputs
(*.f64 (/.f64 1 t) (*.f64 z y))
(-.f64 x (*.f64 (/.f64 1 t) (*.f64 z y)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 y (/.f64 z t)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (/.f64 z t))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (/.f64 z t)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (/.f64 z t)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (/.f64 z t)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 y (/.f64 z t)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 t (*.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 z (/.f64 t y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 y (/.f64 t z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 z y) t)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (*.f64 z y)) 2) (/.f64 t (cbrt.f64 (*.f64 z y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (*.f64 z y)) (/.f64 t (sqrt.f64 (*.f64 z y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 z y)) (neg.f64 t))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 z y) (sqrt.f64 t)) (sqrt.f64 t))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 z y) 1) t)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 z y) (pow.f64 (cbrt.f64 t) 2)) (cbrt.f64 t))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (*.f64 z y)) (neg.f64 t))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 z y) -1) (neg.f64 t))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y (/.f64 z t)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 y (/.f64 z t)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 y (/.f64 z t))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 y (/.f64 z t))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 y (/.f64 z t)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 t (*.f64 z y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 y (/.f64 z t)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 y) (/.f64 z t)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 y (/.f64 z t)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 y (/.f64 z t)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 y (/.f64 z t))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 y (/.f64 z t))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 y (/.f64 z t))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 y (/.f64 z t))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 (/.f64 z t) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 (*.f64 (/.f64 z t) (neg.f64 y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (*.f64 y (/.f64 z t))) (fma.f64 (*.f64 (/.f64 z t) (neg.f64 y)) 1 (*.f64 y (/.f64 z t))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (*.f64 y (/.f64 z t))) (fma.f64 (/.f64 -1 t) (*.f64 z y) (*.f64 y (/.f64 z t))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (*.f64 y (/.f64 z t))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 y (/.f64 z t)))) (cbrt.f64 (pow.f64 (*.f64 y (/.f64 z t)) 2)) (*.f64 y (/.f64 z t))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (*.f64 y (/.f64 z t))) (fma.f64 (neg.f64 y) (/.f64 z t) (*.f64 y (/.f64 z t))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (*.f64 y (/.f64 z t))) (fma.f64 (neg.f64 (/.f64 z t)) y (*.f64 y (/.f64 z t))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x 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simplify84.0ms (0.3%)

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

Useful iterations: 1 (0.0ms)

IterNodesCost
010708
119672
241672
380672
4141672
5214672
6300672
7378672
8482672
9747672
101170672
111326672
121445672
131450672
Stop Event
1×saturated
Counts
351 → 274
Calls
Call 1
Inputs
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 y z) t)
(*.f64 -1 (/.f64 (*.f64 y z) t))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
x
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
x
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(*.f64 -1 (/.f64 (*.f64 y z) t))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
x
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
x
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
x
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(*.f64 -1 (/.f64 (*.f64 y z) t))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(*.f64 -1 (/.f64 (*.f64 y z) t))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
x
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(*.f64 -1 (/.f64 (*.f64 y z) t))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(*.f64 -1 (/.f64 (*.f64 y z) t))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
Outputs
(/.f64 (*.f64 y z) t)
(/.f64 y (/.f64 t z))
(*.f64 (/.f64 y t) z)
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(/.f64 (*.f64 y z) t)
(/.f64 y (/.f64 t z))
(*.f64 (/.f64 y t) z)
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(/.f64 (*.f64 y z) t)
(/.f64 y (/.f64 t z))
(*.f64 (/.f64 y t) z)
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(/.f64 (*.f64 y z) t)
(/.f64 y (/.f64 t z))
(*.f64 (/.f64 y t) z)
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(/.f64 (*.f64 y z) t)
(/.f64 y (/.f64 t z))
(*.f64 (/.f64 y t) z)
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(/.f64 (*.f64 y z) t)
(/.f64 y (/.f64 t z))
(*.f64 (/.f64 y t) z)
(*.f64 z (/.f64 y t))
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(/.f64 (*.f64 y z) t)
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(*.f64 (/.f64 y t) z)
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(/.f64 (*.f64 y z) t)
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(*.f64 (/.f64 y t) z)
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(/.f64 (*.f64 y z) t)
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(/.f64 (*.f64 y z) t)
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(*.f64 y (/.f64 z t))
(/.f64 (*.f64 y z) t)
(/.f64 y (/.f64 t z))
(*.f64 (/.f64 y t) z)
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(/.f64 (*.f64 y z) t)
(/.f64 y (/.f64 t z))
(*.f64 (/.f64 y t) z)
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(/.f64 (*.f64 y z) t)
(/.f64 y (/.f64 t z))
(*.f64 (/.f64 y t) z)
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(/.f64 (*.f64 y z) t)
(/.f64 y (/.f64 t z))
(*.f64 (/.f64 y t) z)
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(/.f64 (*.f64 y z) t)
(/.f64 y (/.f64 t z))
(*.f64 (/.f64 y t) z)
(*.f64 z (/.f64 y t))
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(/.f64 (*.f64 y z) t)
(/.f64 y (/.f64 t z))
(*.f64 (/.f64 y t) z)
(*.f64 z (/.f64 y t))
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(/.f64 (*.f64 y z) t)
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(*.f64 (/.f64 y t) z)
(*.f64 z (/.f64 y t))
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(/.f64 (*.f64 y z) t)
(/.f64 y (/.f64 t z))
(*.f64 (/.f64 y t) z)
(*.f64 z (/.f64 y t))
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(/.f64 (*.f64 y z) t)
(/.f64 y (/.f64 t z))
(*.f64 (/.f64 y t) z)
(*.f64 z (/.f64 y t))
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(/.f64 (*.f64 y z) t)
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(/.f64 (*.f64 y z) t)
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(*.f64 (/.f64 y t) z)
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(/.f64 (*.f64 y z) t)
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(*.f64 (/.f64 y t) z)
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(/.f64 (*.f64 y z) t)
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(*.f64 (/.f64 y t) z)
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(/.f64 (*.f64 y z) t)
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(*.f64 (/.f64 y t) z)
(*.f64 z (/.f64 y t))
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(/.f64 (*.f64 y z) t)
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(/.f64 (*.f64 y z) t)
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(*.f64 (/.f64 y t) z)
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(/.f64 (*.f64 y z) t)
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(/.f64 (*.f64 y z) t)
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(*.f64 (/.f64 y t) z)
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(/.f64 (*.f64 y z) t)
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(/.f64 (*.f64 y z) t)
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(*.f64 (/.f64 y t) z)
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(/.f64 (*.f64 y z) t)
(/.f64 y (/.f64 t z))
(*.f64 (/.f64 y t) z)
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(/.f64 (*.f64 y z) t)
(/.f64 y (/.f64 t z))
(*.f64 (/.f64 y t) z)
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(*.f64 -1 (/.f64 (*.f64 y z) t))
(neg.f64 (/.f64 y (/.f64 t z)))
(/.f64 (neg.f64 (*.f64 y z)) t)
(/.f64 (neg.f64 y) (/.f64 t z))
(*.f64 y (/.f64 (neg.f64 z) t))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(fma.f64 -1 (/.f64 y (/.f64 t z)) x)
(-.f64 x (*.f64 (/.f64 y t) z))
(-.f64 x (*.f64 z (/.f64 y t)))
(-.f64 x (*.f64 y (/.f64 z t)))
(-.f64 x (/.f64 (*.f64 y z) t))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(fma.f64 -1 (/.f64 y (/.f64 t z)) x)
(-.f64 x (*.f64 (/.f64 y t) z))
(-.f64 x (*.f64 z (/.f64 y t)))
(-.f64 x (*.f64 y (/.f64 z t)))
(-.f64 x (/.f64 (*.f64 y z) t))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(fma.f64 -1 (/.f64 y (/.f64 t z)) x)
(-.f64 x (*.f64 (/.f64 y t) z))
(-.f64 x (*.f64 z (/.f64 y t)))
(-.f64 x (*.f64 y (/.f64 z t)))
(-.f64 x (/.f64 (*.f64 y z) t))
x
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(fma.f64 -1 (/.f64 y (/.f64 t z)) x)
(-.f64 x (*.f64 (/.f64 y t) z))
(-.f64 x (*.f64 z (/.f64 y t)))
(-.f64 x (*.f64 y (/.f64 z t)))
(-.f64 x (/.f64 (*.f64 y z) t))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(fma.f64 -1 (/.f64 y (/.f64 t z)) x)
(-.f64 x (*.f64 (/.f64 y t) z))
(-.f64 x (*.f64 z (/.f64 y t)))
(-.f64 x (*.f64 y (/.f64 z t)))
(-.f64 x (/.f64 (*.f64 y z) t))
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(fma.f64 -1 (/.f64 y (/.f64 t z)) x)
(-.f64 x (*.f64 (/.f64 y t) z))
(-.f64 x (*.f64 z (/.f64 y t)))
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(-.f64 x (/.f64 (*.f64 y z) t))
x
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(fma.f64 -1 (/.f64 y (/.f64 t z)) x)
(-.f64 x (*.f64 (/.f64 y t) z))
(-.f64 x (*.f64 z (/.f64 y t)))
(-.f64 x (*.f64 y (/.f64 z t)))
(-.f64 x (/.f64 (*.f64 y z) t))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(fma.f64 -1 (/.f64 y (/.f64 t z)) x)
(-.f64 x (*.f64 (/.f64 y t) z))
(-.f64 x (*.f64 z (/.f64 y t)))
(-.f64 x (*.f64 y (/.f64 z t)))
(-.f64 x (/.f64 (*.f64 y z) t))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(fma.f64 -1 (/.f64 y (/.f64 t z)) x)
(-.f64 x (*.f64 (/.f64 y t) z))
(-.f64 x (*.f64 z (/.f64 y t)))
(-.f64 x (*.f64 y (/.f64 z t)))
(-.f64 x (/.f64 (*.f64 y z) t))
(*.f64 -1 (/.f64 (*.f64 y z) t))
(neg.f64 (/.f64 y (/.f64 t z)))
(/.f64 (neg.f64 (*.f64 y z)) t)
(/.f64 (neg.f64 y) (/.f64 t z))
(*.f64 y (/.f64 (neg.f64 z) t))
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(fma.f64 -1 (/.f64 y (/.f64 t z)) x)
(-.f64 x (*.f64 (/.f64 y t) z))
(-.f64 x (*.f64 z (/.f64 y t)))
(-.f64 x (*.f64 y (/.f64 z t)))
(-.f64 x (/.f64 (*.f64 y z) t))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(fma.f64 -1 (/.f64 y (/.f64 t z)) x)
(-.f64 x (*.f64 (/.f64 y t) z))
(-.f64 x (*.f64 z (/.f64 y t)))
(-.f64 x (*.f64 y (/.f64 z t)))
(-.f64 x (/.f64 (*.f64 y z) t))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(fma.f64 -1 (/.f64 y (/.f64 t z)) x)
(-.f64 x (*.f64 (/.f64 y t) z))
(-.f64 x (*.f64 z (/.f64 y t)))
(-.f64 x (*.f64 y (/.f64 z t)))
(-.f64 x (/.f64 (*.f64 y z) t))
x
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(fma.f64 -1 (/.f64 y (/.f64 t z)) x)
(-.f64 x (*.f64 (/.f64 y t) z))
(-.f64 x (*.f64 z (/.f64 y t)))
(-.f64 x (*.f64 y (/.f64 z t)))
(-.f64 x (/.f64 (*.f64 y z) t))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(fma.f64 -1 (/.f64 y (/.f64 t z)) x)
(-.f64 x (*.f64 (/.f64 y t) z))
(-.f64 x (*.f64 z (/.f64 y t)))
(-.f64 x (*.f64 y (/.f64 z t)))
(-.f64 x (/.f64 (*.f64 y z) t))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(fma.f64 -1 (/.f64 y (/.f64 t z)) x)
(-.f64 x (*.f64 (/.f64 y t) z))
(-.f64 x (*.f64 z (/.f64 y t)))
(-.f64 x (*.f64 y (/.f64 z t)))
(-.f64 x (/.f64 (*.f64 y z) t))
x
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(fma.f64 -1 (/.f64 y (/.f64 t z)) x)
(-.f64 x (*.f64 (/.f64 y t) z))
(-.f64 x (*.f64 z (/.f64 y t)))
(-.f64 x (*.f64 y (/.f64 z t)))
(-.f64 x (/.f64 (*.f64 y z) t))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(fma.f64 -1 (/.f64 y (/.f64 t z)) x)
(-.f64 x (*.f64 (/.f64 y t) z))
(-.f64 x (*.f64 z (/.f64 y t)))
(-.f64 x (*.f64 y (/.f64 z t)))
(-.f64 x (/.f64 (*.f64 y z) t))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(fma.f64 -1 (/.f64 y (/.f64 t z)) x)
(-.f64 x (*.f64 (/.f64 y t) z))
(-.f64 x (*.f64 z (/.f64 y t)))
(-.f64 x (*.f64 y (/.f64 z t)))
(-.f64 x (/.f64 (*.f64 y z) t))
x
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(fma.f64 -1 (/.f64 y (/.f64 t z)) x)
(-.f64 x (*.f64 (/.f64 y t) z))
(-.f64 x (*.f64 z (/.f64 y t)))
(-.f64 x (*.f64 y (/.f64 z t)))
(-.f64 x (/.f64 (*.f64 y z) t))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(fma.f64 -1 (/.f64 y (/.f64 t z)) x)
(-.f64 x (*.f64 (/.f64 y t) z))
(-.f64 x (*.f64 z (/.f64 y t)))
(-.f64 x (*.f64 y (/.f64 z t)))
(-.f64 x (/.f64 (*.f64 y z) t))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(fma.f64 -1 (/.f64 y (/.f64 t z)) x)
(-.f64 x (*.f64 (/.f64 y t) z))
(-.f64 x (*.f64 z (/.f64 y t)))
(-.f64 x (*.f64 y (/.f64 z t)))
(-.f64 x (/.f64 (*.f64 y z) t))
(*.f64 -1 (/.f64 (*.f64 y z) t))
(neg.f64 (/.f64 y (/.f64 t z)))
(/.f64 (neg.f64 (*.f64 y z)) t)
(/.f64 (neg.f64 y) (/.f64 t z))
(*.f64 y (/.f64 (neg.f64 z) t))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(fma.f64 -1 (/.f64 y (/.f64 t z)) x)
(-.f64 x (*.f64 (/.f64 y t) z))
(-.f64 x (*.f64 z (/.f64 y t)))
(-.f64 x (*.f64 y (/.f64 z t)))
(-.f64 x (/.f64 (*.f64 y z) t))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(fma.f64 -1 (/.f64 y (/.f64 t z)) x)
(-.f64 x (*.f64 (/.f64 y t) z))
(-.f64 x (*.f64 z (/.f64 y t)))
(-.f64 x (*.f64 y (/.f64 z t)))
(-.f64 x (/.f64 (*.f64 y z) t))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(fma.f64 -1 (/.f64 y (/.f64 t z)) x)
(-.f64 x (*.f64 (/.f64 y t) z))
(-.f64 x (*.f64 z (/.f64 y t)))
(-.f64 x (*.f64 y (/.f64 z t)))
(-.f64 x (/.f64 (*.f64 y z) t))
(*.f64 -1 (/.f64 (*.f64 y z) t))
(neg.f64 (/.f64 y (/.f64 t z)))
(/.f64 (neg.f64 (*.f64 y z)) t)
(/.f64 (neg.f64 y) (/.f64 t z))
(*.f64 y (/.f64 (neg.f64 z) t))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(fma.f64 -1 (/.f64 y (/.f64 t z)) x)
(-.f64 x (*.f64 (/.f64 y t) z))
(-.f64 x (*.f64 z (/.f64 y t)))
(-.f64 x (*.f64 y (/.f64 z t)))
(-.f64 x (/.f64 (*.f64 y z) t))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(fma.f64 -1 (/.f64 y (/.f64 t z)) x)
(-.f64 x (*.f64 (/.f64 y t) z))
(-.f64 x (*.f64 z (/.f64 y t)))
(-.f64 x (*.f64 y (/.f64 z t)))
(-.f64 x (/.f64 (*.f64 y z) t))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(fma.f64 -1 (/.f64 y (/.f64 t z)) x)
(-.f64 x (*.f64 (/.f64 y t) z))
(-.f64 x (*.f64 z (/.f64 y t)))
(-.f64 x (*.f64 y (/.f64 z t)))
(-.f64 x (/.f64 (*.f64 y z) t))
x
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(fma.f64 -1 (/.f64 y (/.f64 t z)) x)
(-.f64 x (*.f64 (/.f64 y t) z))
(-.f64 x (*.f64 z (/.f64 y t)))
(-.f64 x (*.f64 y (/.f64 z t)))
(-.f64 x (/.f64 (*.f64 y z) t))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(fma.f64 -1 (/.f64 y (/.f64 t z)) x)
(-.f64 x (*.f64 (/.f64 y t) z))
(-.f64 x (*.f64 z (/.f64 y t)))
(-.f64 x (*.f64 y (/.f64 z t)))
(-.f64 x (/.f64 (*.f64 y z) t))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(fma.f64 -1 (/.f64 y (/.f64 t z)) x)
(-.f64 x (*.f64 (/.f64 y t) z))
(-.f64 x (*.f64 z (/.f64 y t)))
(-.f64 x (*.f64 y (/.f64 z t)))
(-.f64 x (/.f64 (*.f64 y z) t))
(*.f64 -1 (/.f64 (*.f64 y z) t))
(neg.f64 (/.f64 y (/.f64 t z)))
(/.f64 (neg.f64 (*.f64 y z)) t)
(/.f64 (neg.f64 y) (/.f64 t z))
(*.f64 y (/.f64 (neg.f64 z) t))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(fma.f64 -1 (/.f64 y (/.f64 t z)) x)
(-.f64 x (*.f64 (/.f64 y t) z))
(-.f64 x (*.f64 z (/.f64 y t)))
(-.f64 x (*.f64 y (/.f64 z t)))
(-.f64 x (/.f64 (*.f64 y z) t))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(fma.f64 -1 (/.f64 y (/.f64 t z)) x)
(-.f64 x (*.f64 (/.f64 y t) z))
(-.f64 x (*.f64 z (/.f64 y t)))
(-.f64 x (*.f64 y (/.f64 z t)))
(-.f64 x (/.f64 (*.f64 y z) t))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(fma.f64 -1 (/.f64 y (/.f64 t z)) x)
(-.f64 x (*.f64 (/.f64 y t) z))
(-.f64 x (*.f64 z (/.f64 y t)))
(-.f64 x (*.f64 y (/.f64 z t)))
(-.f64 x (/.f64 (*.f64 y z) t))
(*.f64 -1 (/.f64 (*.f64 y z) t))
(neg.f64 (/.f64 y (/.f64 t z)))
(/.f64 (neg.f64 (*.f64 y z)) t)
(/.f64 (neg.f64 y) (/.f64 t z))
(*.f64 y (/.f64 (neg.f64 z) t))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(fma.f64 -1 (/.f64 y (/.f64 t z)) x)
(-.f64 x (*.f64 (/.f64 y t) z))
(-.f64 x (*.f64 z (/.f64 y t)))
(-.f64 x (*.f64 y (/.f64 z t)))
(-.f64 x (/.f64 (*.f64 y z) t))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(fma.f64 -1 (/.f64 y (/.f64 t z)) x)
(-.f64 x (*.f64 (/.f64 y t) z))
(-.f64 x (*.f64 z (/.f64 y t)))
(-.f64 x (*.f64 y (/.f64 z t)))
(-.f64 x (/.f64 (*.f64 y z) t))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(fma.f64 -1 (/.f64 y (/.f64 t z)) x)
(-.f64 x (*.f64 (/.f64 y t) z))
(-.f64 x (*.f64 z (/.f64 y t)))
(-.f64 x (*.f64 y (/.f64 z t)))
(-.f64 x (/.f64 (*.f64 y z) t))

localize42.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.2b
(*.f64 z (+.f64 1/6 (*.f64 z 1/24)))
✓0.3b
(*.f64 z 1/24)
✓1.9b
(*.f64 (+.f64 z (*.f64 (*.f64 z z) (+.f64 1/2 (*.f64 z (+.f64 1/6 (*.f64 z 1/24)))))) y)
✓5.3b
(/.f64 (*.f64 (+.f64 z (*.f64 (*.f64 z z) (+.f64 1/2 (*.f64 z (+.f64 1/6 (*.f64 z 1/24)))))) y) t)
Compiler

Compiled 123 to 76 computations (38.2% saved)

series13.0ms (0.1%)

Counts
4 → 84
Calls

21 calls:

TimeVariablePointExpression
2.0ms
y
@0
(/.f64 (*.f64 (+.f64 z (*.f64 (*.f64 z z) (+.f64 1/2 (*.f64 z (+.f64 1/6 (*.f64 z 1/24)))))) y) t)
1.0ms
t
@0
(/.f64 (*.f64 (+.f64 z (*.f64 (*.f64 z z) (+.f64 1/2 (*.f64 z (+.f64 1/6 (*.f64 z 1/24)))))) y) t)
1.0ms
z
@inf
(/.f64 (*.f64 (+.f64 z (*.f64 (*.f64 z z) (+.f64 1/2 (*.f64 z (+.f64 1/6 (*.f64 z 1/24)))))) y) t)
1.0ms
z
@-inf
(/.f64 (*.f64 (+.f64 z (*.f64 (*.f64 z z) (+.f64 1/2 (*.f64 z (+.f64 1/6 (*.f64 z 1/24)))))) y) t)
1.0ms
z
@0
(/.f64 (*.f64 (+.f64 z (*.f64 (*.f64 z z) (+.f64 1/2 (*.f64 z (+.f64 1/6 (*.f64 z 1/24)))))) y) t)

rewrite138.0ms (0.5%)

Algorithm
1×batch-egg-rewrite
Rules
658×fma-def_binary64
332×expm1-udef_binary64
332×log1p-udef_binary64
310×fma-neg_binary64
262×log-pow_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01667
137353
2553553
Stop Event
1×node limit
Counts
4 → 133
Calls
Call 1
Inputs
(/.f64 (*.f64 (+.f64 z (*.f64 (*.f64 z z) (+.f64 1/2 (*.f64 z (+.f64 1/6 (*.f64 z 1/24)))))) y) t)
(*.f64 (+.f64 z (*.f64 (*.f64 z z) (+.f64 1/2 (*.f64 z (+.f64 1/6 (*.f64 z 1/24)))))) y)
(*.f64 z 1/24)
(*.f64 z (+.f64 1/6 (*.f64 z 1/24)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 (fma.f64 (*.f64 z z) (fma.f64 z (fma.f64 z 1/24 1/6) 1/2) z) t) y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (*.f64 z z) (fma.f64 z (fma.f64 z 1/24 1/6) 1/2) z) (/.f64 1 (/.f64 t y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (*.f64 z z) (fma.f64 z (fma.f64 z 1/24 1/6) 1/2) z) (*.f64 y (/.f64 1 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (*.f64 (fma.f64 (*.f64 z z) (fma.f64 z (fma.f64 z 1/24 1/6) 1/2) z) (/.f64 1 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (fma.f64 (*.f64 z z) (fma.f64 z (fma.f64 z 1/24 1/6) 1/2) z) y) (/.f64 1 t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (fma.f64 (*.f64 z z) (fma.f64 z (fma.f64 z 1/24 1/6) 1/2) z) t) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (/.f64 (fma.f64 (*.f64 z z) (fma.f64 z (fma.f64 z 1/24 1/6) 1/2) z) t) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (fma.f64 (*.f64 z z) (fma.f64 z (fma.f64 z 1/24 1/6) 1/2) z) y)) 2) (*.f64 (cbrt.f64 (*.f64 (fma.f64 (*.f64 z z) (fma.f64 z (fma.f64 z 1/24 1/6) 1/2) z) y)) (/.f64 1 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (/.f64 (fma.f64 (*.f64 z z) (fma.f64 z (fma.f64 z 1/24 1/6) 1/2) z) t) y)) (pow.f64 (cbrt.f64 (*.f64 (/.f64 (fma.f64 (*.f64 z z) (fma.f64 z (fma.f64 z 1/24 1/6) 1/2) z) t) y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 (fma.f64 (*.f64 z z) (fma.f64 z (fma.f64 z 1/24 1/6) 1/2) z) t) y)) 2) (cbrt.f64 (*.f64 (/.f64 (fma.f64 (*.f64 z z) (fma.f64 z (fma.f64 z 1/24 1/6) 1/2) z) t) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (fma.f64 (*.f64 z z) (fma.f64 z (fma.f64 z 1/24 1/6) 1/2) z) y)) (*.f64 (sqrt.f64 (*.f64 (fma.f64 (*.f64 z z) (fma.f64 z (fma.f64 z 1/24 1/6) 1/2) z) y)) (/.f64 1 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (/.f64 (fma.f64 (*.f64 z z) (fma.f64 z (fma.f64 z 1/24 1/6) 1/2) z) t) y)) (sqrt.f64 (*.f64 (/.f64 (fma.f64 (*.f64 z z) (fma.f64 z (fma.f64 z 1/24 1/6) 1/2) z) t) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (fma.f64 (*.f64 z z) (fma.f64 z (fma.f64 z 1/24 1/6) 1/2) z) (neg.f64 y)) (/.f64 1 (neg.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 t) (*.f64 (fma.f64 (*.f64 z z) (fma.f64 z (fma.f64 z 1/24 1/6) 1/2) z) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 (*.f64 z z) (fma.f64 z (fma.f64 z 1/24 1/6) 1/2) z) 1) (/.f64 y t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y 1) (/.f64 (fma.f64 (*.f64 z z) (fma.f64 z (fma.f64 z 1/24 1/6) 1/2) z) t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 (*.f64 z z) (fma.f64 z (fma.f64 z 1/24 1/6) 1/2) z) t) y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (fma.f64 (*.f64 z z) (fma.f64 z (fma.f64 z 1/24 1/6) 1/2) z) y)) 2) 1) (/.f64 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(*.f64 z 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 (*.f64 z 1/24)) (sqrt.f64 z)) (*.f64 (sqrt.f64 (*.f64 z 1/24)) (sqrt.f64 z)) (*.f64 z 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 z (pow.f64 (cbrt.f64 (*.f64 z 1/24)) 2)) (cbrt.f64 (*.f64 z 1/24)) (*.f64 z 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 z (sqrt.f64 (*.f64 z 1/24))) (sqrt.f64 (*.f64 z 1/24)) (*.f64 z 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 z 1/24) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z) (*.f64 z 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 z 1/24) (sqrt.f64 z)) (sqrt.f64 z) (*.f64 z 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/6 (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z) (*.f64 z (*.f64 z 1/24)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/6 (sqrt.f64 z)) (sqrt.f64 z) (*.f64 z (*.f64 z 1/24)))))))

simplify78.0ms (0.3%)

Algorithm
1×egg-herbie
Rules
898×fma-def_binary64
762×associate-/r/_binary64
515×associate-/l/_binary64
514×associate-*l*_binary64
463×associate-*r*_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
0502353
11412268
23502005
310941298
449211280
Stop Event
1×node limit
Counts
217 → 170
Calls
Call 1
Inputs
(/.f64 (*.f64 y z) t)
(+.f64 (/.f64 (*.f64 y z) t) (*.f64 1/2 (/.f64 (*.f64 y (pow.f64 z 2)) t)))
(+.f64 (*.f64 1/6 (/.f64 (*.f64 y (pow.f64 z 3)) t)) (+.f64 (/.f64 (*.f64 y z) t) (*.f64 1/2 (/.f64 (*.f64 y (pow.f64 z 2)) t))))
(+.f64 (*.f64 1/24 (/.f64 (*.f64 y (pow.f64 z 4)) t)) (+.f64 (*.f64 1/6 (/.f64 (*.f64 y (pow.f64 z 3)) t)) (+.f64 (/.f64 (*.f64 y z) t) (*.f64 1/2 (/.f64 (*.f64 y (pow.f64 z 2)) t)))))
(*.f64 1/24 (/.f64 (*.f64 y (pow.f64 z 4)) t))
(+.f64 (*.f64 1/24 (/.f64 (*.f64 y (pow.f64 z 4)) t)) (*.f64 1/6 (/.f64 (*.f64 y (pow.f64 z 3)) t)))
(+.f64 (*.f64 1/24 (/.f64 (*.f64 y (pow.f64 z 4)) t)) (+.f64 (*.f64 1/6 (/.f64 (*.f64 y (pow.f64 z 3)) t)) (*.f64 1/2 (/.f64 (*.f64 y (pow.f64 z 2)) t))))
(+.f64 (*.f64 1/24 (/.f64 (*.f64 y (pow.f64 z 4)) t)) (+.f64 (*.f64 1/6 (/.f64 (*.f64 y (pow.f64 z 3)) t)) (+.f64 (/.f64 (*.f64 y z) t) (*.f64 1/2 (/.f64 (*.f64 y (pow.f64 z 2)) t)))))
(*.f64 1/24 (/.f64 (*.f64 y (pow.f64 z 4)) t))
(+.f64 (*.f64 1/24 (/.f64 (*.f64 y (pow.f64 z 4)) t)) (*.f64 1/6 (/.f64 (*.f64 y (pow.f64 z 3)) t)))
(+.f64 (*.f64 1/24 (/.f64 (*.f64 y (pow.f64 z 4)) t)) (+.f64 (*.f64 1/6 (/.f64 (*.f64 y (pow.f64 z 3)) t)) (*.f64 1/2 (/.f64 (*.f64 y (pow.f64 z 2)) t))))
(+.f64 (*.f64 1/24 (/.f64 (*.f64 y (pow.f64 z 4)) t)) (+.f64 (*.f64 1/6 (/.f64 (*.f64 y (pow.f64 z 3)) t)) (+.f64 (/.f64 (*.f64 y z) t) (*.f64 1/2 (/.f64 (*.f64 y (pow.f64 z 2)) t)))))
(/.f64 (*.f64 (+.f64 z (*.f64 (+.f64 (*.f64 z (+.f64 1/6 (*.f64 1/24 z))) 1/2) (pow.f64 z 2))) y) t)
(/.f64 (*.f64 (+.f64 z (*.f64 (+.f64 (*.f64 z (+.f64 1/6 (*.f64 1/24 z))) 1/2) (pow.f64 z 2))) y) t)
(/.f64 (*.f64 (+.f64 z (*.f64 (+.f64 (*.f64 z (+.f64 1/6 (*.f64 1/24 z))) 1/2) (pow.f64 z 2))) y) t)
(/.f64 (*.f64 (+.f64 z (*.f64 (+.f64 (*.f64 z (+.f64 1/6 (*.f64 1/24 z))) 1/2) (pow.f64 z 2))) y) t)
(/.f64 (*.f64 (+.f64 z (*.f64 (+.f64 (*.f64 z (+.f64 1/6 (*.f64 1/24 z))) 1/2) (pow.f64 z 2))) y) t)
(/.f64 (*.f64 (+.f64 z (*.f64 (+.f64 (*.f64 z (+.f64 1/6 (*.f64 1/24 z))) 1/2) (pow.f64 z 2))) y) t)
(/.f64 (*.f64 (+.f64 z (*.f64 (+.f64 (*.f64 z (+.f64 1/6 (*.f64 1/24 z))) 1/2) (pow.f64 z 2))) y) t)
(/.f64 (*.f64 (+.f64 z (*.f64 (+.f64 (*.f64 z (+.f64 1/6 (*.f64 1/24 z))) 1/2) (pow.f64 z 2))) y) t)
(/.f64 (*.f64 (+.f64 z (*.f64 (+.f64 (*.f64 z (+.f64 1/6 (*.f64 1/24 z))) 1/2) (pow.f64 z 2))) y) t)
(/.f64 (*.f64 (+.f64 z (*.f64 (+.f64 (*.f64 z (+.f64 1/6 (*.f64 1/24 z))) 1/2) (pow.f64 z 2))) y) t)
(/.f64 (*.f64 (+.f64 z (*.f64 (+.f64 (*.f64 z (+.f64 1/6 (*.f64 1/24 z))) 1/2) (pow.f64 z 2))) y) t)
(/.f64 (*.f64 (+.f64 z (*.f64 (+.f64 (*.f64 z (+.f64 1/6 (*.f64 1/24 z))) 1/2) (pow.f64 z 2))) y) t)
(/.f64 (*.f64 (+.f64 z (*.f64 (+.f64 (*.f64 z (+.f64 1/6 (*.f64 1/24 z))) 1/2) (pow.f64 z 2))) y) t)
(/.f64 (*.f64 (+.f64 z (*.f64 (+.f64 (*.f64 z (+.f64 1/6 (*.f64 1/24 z))) 1/2) (pow.f64 z 2))) y) t)
(/.f64 (*.f64 (+.f64 z (*.f64 (+.f64 (*.f64 z (+.f64 1/6 (*.f64 1/24 z))) 1/2) (pow.f64 z 2))) y) t)
(/.f64 (*.f64 (+.f64 z (*.f64 (+.f64 (*.f64 z (+.f64 1/6 (*.f64 1/24 z))) 1/2) (pow.f64 z 2))) y) t)
(/.f64 (*.f64 (+.f64 z (*.f64 (+.f64 (*.f64 z (+.f64 1/6 (*.f64 1/24 z))) 1/2) (pow.f64 z 2))) y) t)
(/.f64 (*.f64 (+.f64 z (*.f64 (+.f64 (*.f64 z (+.f64 1/6 (*.f64 1/24 z))) 1/2) (pow.f64 z 2))) y) t)
(/.f64 (*.f64 (+.f64 z (*.f64 (+.f64 (*.f64 z (+.f64 1/6 (*.f64 1/24 z))) 1/2) (pow.f64 z 2))) y) t)
(/.f64 (*.f64 (+.f64 z (*.f64 (+.f64 (*.f64 z (+.f64 1/6 (*.f64 1/24 z))) 1/2) (pow.f64 z 2))) y) t)
(/.f64 (*.f64 (+.f64 z (*.f64 (+.f64 (*.f64 z (+.f64 1/6 (*.f64 1/24 z))) 1/2) (pow.f64 z 2))) y) t)
(/.f64 (*.f64 (+.f64 z (*.f64 (+.f64 (*.f64 z (+.f64 1/6 (*.f64 1/24 z))) 1/2) (pow.f64 z 2))) y) t)
(/.f64 (*.f64 (+.f64 z (*.f64 (+.f64 (*.f64 z (+.f64 1/6 (*.f64 1/24 z))) 1/2) (pow.f64 z 2))) y) t)
(/.f64 (*.f64 (+.f64 z (*.f64 (+.f64 (*.f64 z (+.f64 1/6 (*.f64 1/24 z))) 1/2) (pow.f64 z 2))) y) t)
(*.f64 y z)
(+.f64 (*.f64 y z) (*.f64 1/2 (*.f64 y (pow.f64 z 2))))
(+.f64 (*.f64 y z) (+.f64 (*.f64 1/2 (*.f64 y (pow.f64 z 2))) (*.f64 1/6 (*.f64 y (pow.f64 z 3)))))
(+.f64 (*.f64 y z) (+.f64 (*.f64 1/2 (*.f64 y (pow.f64 z 2))) (+.f64 (*.f64 1/24 (*.f64 y (pow.f64 z 4))) (*.f64 1/6 (*.f64 y (pow.f64 z 3))))))
(*.f64 1/24 (*.f64 y (pow.f64 z 4)))
(+.f64 (*.f64 1/24 (*.f64 y (pow.f64 z 4))) (*.f64 1/6 (*.f64 y (pow.f64 z 3))))
(+.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 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 1/24 (*.f64 y (pow.f64 z 4)))
(+.f64 (*.f64 1/24 (*.f64 y (pow.f64 z 4))) (*.f64 1/6 (*.f64 y (pow.f64 z 3))))
(+.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 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 z (*.f64 (+.f64 (*.f64 z (+.f64 1/6 (*.f64 1/24 z))) 1/2) (pow.f64 z 2))) y)
(*.f64 (+.f64 z (*.f64 (+.f64 (*.f64 z (+.f64 1/6 (*.f64 1/24 z))) 1/2) (pow.f64 z 2))) y)
(*.f64 (+.f64 z (*.f64 (+.f64 (*.f64 z (+.f64 1/6 (*.f64 1/24 z))) 1/2) (pow.f64 z 2))) y)
(*.f64 (+.f64 z (*.f64 (+.f64 (*.f64 z (+.f64 1/6 (*.f64 1/24 z))) 1/2) (pow.f64 z 2))) y)
(*.f64 (+.f64 z (*.f64 (+.f64 (*.f64 z (+.f64 1/6 (*.f64 1/24 z))) 1/2) (pow.f64 z 2))) y)
(*.f64 (+.f64 z (*.f64 (+.f64 (*.f64 z (+.f64 1/6 (*.f64 1/24 z))) 1/2) (pow.f64 z 2))) y)
(*.f64 (+.f64 z (*.f64 (+.f64 (*.f64 z (+.f64 1/6 (*.f64 1/24 z))) 1/2) (pow.f64 z 2))) y)
(*.f64 (+.f64 z (*.f64 (+.f64 (*.f64 z (+.f64 1/6 (*.f64 1/24 z))) 1/2) (pow.f64 z 2))) y)
(*.f64 (+.f64 z (*.f64 (+.f64 (*.f64 z (+.f64 1/6 (*.f64 1/24 z))) 1/2) (pow.f64 z 2))) y)
(*.f64 (+.f64 z (*.f64 (+.f64 (*.f64 z (+.f64 1/6 (*.f64 1/24 z))) 1/2) (pow.f64 z 2))) y)
(*.f64 (+.f64 z (*.f64 (+.f64 (*.f64 z (+.f64 1/6 (*.f64 1/24 z))) 1/2) (pow.f64 z 2))) y)
(*.f64 (+.f64 z (*.f64 (+.f64 (*.f64 z (+.f64 1/6 (*.f64 1/24 z))) 1/2) (pow.f64 z 2))) y)
(*.f64 1/24 z)
(*.f64 1/24 z)
(*.f64 1/24 z)
(*.f64 1/24 z)
(*.f64 1/24 z)
(*.f64 1/24 z)
(*.f64 1/24 z)
(*.f64 1/24 z)
(*.f64 1/24 z)
(*.f64 1/24 z)
(*.f64 1/24 z)
(*.f64 1/24 z)
(*.f64 1/6 z)
(+.f64 (*.f64 1/24 (pow.f64 z 2)) (*.f64 1/6 z))
(+.f64 (*.f64 1/24 (pow.f64 z 2)) (*.f64 1/6 z))
(+.f64 (*.f64 1/24 (pow.f64 z 2)) (*.f64 1/6 z))
(*.f64 1/24 (pow.f64 z 2))
(+.f64 (*.f64 1/24 (pow.f64 z 2)) (*.f64 1/6 z))
(+.f64 (*.f64 1/24 (pow.f64 z 2)) (*.f64 1/6 z))
(+.f64 (*.f64 1/24 (pow.f64 z 2)) (*.f64 1/6 z))
(*.f64 1/24 (pow.f64 z 2))
(+.f64 (*.f64 1/24 (pow.f64 z 2)) (*.f64 1/6 z))
(+.f64 (*.f64 1/24 (pow.f64 z 2)) (*.f64 1/6 z))
(+.f64 (*.f64 1/24 (pow.f64 z 2)) (*.f64 1/6 z))
Outputs
(/.f64 (*.f64 y z) t)
(/.f64 z (/.f64 t y))
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(+.f64 (/.f64 (*.f64 y z) t) (*.f64 1/2 (/.f64 (*.f64 y (pow.f64 z 2)) t)))
(+.f64 (/.f64 (*.f64 y z) t) (*.f64 1/2 (/.f64 (*.f64 y (*.f64 z z)) t)))
(fma.f64 1/2 (*.f64 (/.f64 y t) (*.f64 z z)) (/.f64 z (/.f64 t y)))
(fma.f64 1/2 (/.f64 (*.f64 y z) (/.f64 t z)) (*.f64 z (/.f64 y t)))
(*.f64 (/.f64 y t) (fma.f64 1/2 (*.f64 z z) z))
(+.f64 (*.f64 1/6 (/.f64 (*.f64 y (pow.f64 z 3)) t)) (+.f64 (/.f64 (*.f64 y z) t) (*.f64 1/2 (/.f64 (*.f64 y (pow.f64 z 2)) t))))
(fma.f64 1/6 (/.f64 y (/.f64 t (pow.f64 z 3))) (+.f64 (/.f64 (*.f64 y z) t) (*.f64 1/2 (/.f64 (*.f64 y (*.f64 z z)) t))))
(fma.f64 1/6 (/.f64 (pow.f64 z 3) (/.f64 t y)) (fma.f64 1/2 (*.f64 (/.f64 y t) (*.f64 z z)) (/.f64 z (/.f64 t y))))
(fma.f64 1/2 (/.f64 (*.f64 y z) (/.f64 t z)) (fma.f64 1/6 (*.f64 (pow.f64 z 3) (/.f64 y t)) (*.f64 z (/.f64 y t))))
(fma.f64 z (/.f64 y t) (*.f64 (/.f64 y t) (*.f64 z (*.f64 z (fma.f64 z 1/6 1/2)))))
(+.f64 (*.f64 1/24 (/.f64 (*.f64 y (pow.f64 z 4)) t)) (+.f64 (*.f64 1/6 (/.f64 (*.f64 y (pow.f64 z 3)) t)) (+.f64 (/.f64 (*.f64 y z) t) (*.f64 1/2 (/.f64 (*.f64 y (pow.f64 z 2)) t)))))
(fma.f64 1/24 (/.f64 (*.f64 y (pow.f64 z 4)) t) (fma.f64 1/6 (/.f64 y (/.f64 t (pow.f64 z 3))) (+.f64 (/.f64 (*.f64 y z) t) (*.f64 1/2 (/.f64 (*.f64 y (*.f64 z z)) t)))))
(fma.f64 1/24 (/.f64 (pow.f64 z 4) (/.f64 t y)) (fma.f64 1/6 (/.f64 (pow.f64 z 3) (/.f64 t y)) (fma.f64 1/2 (*.f64 (/.f64 y t) (*.f64 z z)) (/.f64 z (/.f64 t y)))))
(fma.f64 1/6 (*.f64 (pow.f64 z 3) (/.f64 y t)) (fma.f64 1/24 (*.f64 (pow.f64 z 4) (/.f64 y t)) (fma.f64 1/2 (/.f64 (*.f64 y z) (/.f64 t z)) (*.f64 z (/.f64 y t)))))
(/.f64 (fma.f64 z (fma.f64 z (fma.f64 z 1/24 1/6) 1/2) 1) (/.f64 t (*.f64 y z)))
(*.f64 1/24 (/.f64 (*.f64 y (pow.f64 z 4)) t))
(*.f64 1/24 (/.f64 (pow.f64 z 4) (/.f64 t y)))
(*.f64 1/24 (*.f64 (pow.f64 z 4) (/.f64 y t)))
(+.f64 (*.f64 1/24 (/.f64 (*.f64 y (pow.f64 z 4)) t)) (*.f64 1/6 (/.f64 (*.f64 y (pow.f64 z 3)) t)))
(fma.f64 1/24 (/.f64 (*.f64 y (pow.f64 z 4)) t) (*.f64 1/6 (/.f64 y (/.f64 t (pow.f64 z 3)))))
(fma.f64 1/6 (/.f64 (pow.f64 z 3) (/.f64 t y)) (*.f64 1/24 (/.f64 (pow.f64 z 4) (/.f64 t y))))
(fma.f64 1/6 (*.f64 (pow.f64 z 3) (/.f64 y t)) (*.f64 1/24 (*.f64 (pow.f64 z 4) (/.f64 y t))))
(*.f64 (/.f64 y t) (*.f64 (pow.f64 z 3) (fma.f64 z 1/24 1/6)))
(/.f64 (*.f64 (*.f64 y (pow.f64 z 3)) (fma.f64 z 1/24 1/6)) t)
(+.f64 (*.f64 1/24 (/.f64 (*.f64 y (pow.f64 z 4)) t)) (+.f64 (*.f64 1/6 (/.f64 (*.f64 y (pow.f64 z 3)) t)) (*.f64 1/2 (/.f64 (*.f64 y (pow.f64 z 2)) t))))
(fma.f64 1/24 (/.f64 (*.f64 y (pow.f64 z 4)) t) (fma.f64 1/6 (/.f64 y (/.f64 t (pow.f64 z 3))) (*.f64 1/2 (/.f64 (*.f64 y (*.f64 z z)) t))))
(fma.f64 1/24 (/.f64 (pow.f64 z 4) (/.f64 t y)) (fma.f64 1/2 (*.f64 (/.f64 y t) (*.f64 z z)) (*.f64 1/6 (/.f64 (pow.f64 z 3) (/.f64 t y)))))
(fma.f64 1/24 (*.f64 (pow.f64 z 4) (/.f64 y t)) (fma.f64 1/6 (*.f64 (pow.f64 z 3) (/.f64 y t)) (*.f64 1/2 (/.f64 (*.f64 y z) (/.f64 t z)))))
(fma.f64 1/2 (*.f64 (/.f64 z t) (*.f64 y z)) (*.f64 (/.f64 y t) (*.f64 (pow.f64 z 3) (fma.f64 z 1/24 1/6))))
(*.f64 (*.f64 (*.f64 z z) (fma.f64 z (fma.f64 z 1/24 1/6) 1/2)) (/.f64 y t))
(+.f64 (*.f64 1/24 (/.f64 (*.f64 y (pow.f64 z 4)) t)) (+.f64 (*.f64 1/6 (/.f64 (*.f64 y (pow.f64 z 3)) t)) (+.f64 (/.f64 (*.f64 y z) t) (*.f64 1/2 (/.f64 (*.f64 y (pow.f64 z 2)) t)))))
(fma.f64 1/24 (/.f64 (*.f64 y (pow.f64 z 4)) t) (fma.f64 1/6 (/.f64 y (/.f64 t (pow.f64 z 3))) (+.f64 (/.f64 (*.f64 y z) t) (*.f64 1/2 (/.f64 (*.f64 y (*.f64 z z)) t)))))
(fma.f64 1/24 (/.f64 (pow.f64 z 4) (/.f64 t y)) (fma.f64 1/6 (/.f64 (pow.f64 z 3) (/.f64 t y)) (fma.f64 1/2 (*.f64 (/.f64 y t) (*.f64 z z)) (/.f64 z (/.f64 t y)))))
(fma.f64 1/6 (*.f64 (pow.f64 z 3) (/.f64 y t)) (fma.f64 1/24 (*.f64 (pow.f64 z 4) (/.f64 y t)) (fma.f64 1/2 (/.f64 (*.f64 y z) (/.f64 t z)) (*.f64 z (/.f64 y t)))))
(/.f64 (fma.f64 z (fma.f64 z (fma.f64 z 1/24 1/6) 1/2) 1) (/.f64 t (*.f64 y z)))
(*.f64 1/24 (/.f64 (*.f64 y (pow.f64 z 4)) t))
(*.f64 1/24 (/.f64 (pow.f64 z 4) (/.f64 t y)))
(*.f64 1/24 (*.f64 (pow.f64 z 4) (/.f64 y t)))
(+.f64 (*.f64 1/24 (/.f64 (*.f64 y (pow.f64 z 4)) t)) (*.f64 1/6 (/.f64 (*.f64 y (pow.f64 z 3)) t)))
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(fma.f64 y z (fma.f64 1/2 (*.f64 y (*.f64 z z)) (fma.f64 1/6 (*.f64 y (pow.f64 z 3)) (*.f64 y (*.f64 (pow.f64 z 4) 1/24)))))
(*.f64 y (fma.f64 z (*.f64 z (fma.f64 z (fma.f64 z 1/24 1/6) 1/2)) z))
(*.f64 y (*.f64 z (fma.f64 z (fma.f64 z (fma.f64 z 1/24 1/6) 1/2) 1)))
(*.f64 (+.f64 z (*.f64 (+.f64 (*.f64 z (+.f64 1/6 (*.f64 1/24 z))) 1/2) (pow.f64 z 2))) y)
(fma.f64 y z (fma.f64 1/2 (*.f64 y (*.f64 z z)) (fma.f64 1/24 (*.f64 y (pow.f64 z 4)) (*.f64 1/6 (*.f64 y (pow.f64 z 3))))))
(fma.f64 y z (fma.f64 1/2 (*.f64 y (*.f64 z z)) (fma.f64 1/6 (*.f64 y (pow.f64 z 3)) (*.f64 y (*.f64 (pow.f64 z 4) 1/24)))))
(*.f64 y (fma.f64 z (*.f64 z (fma.f64 z (fma.f64 z 1/24 1/6) 1/2)) z))
(*.f64 y (*.f64 z (fma.f64 z (fma.f64 z (fma.f64 z 1/24 1/6) 1/2) 1)))
(*.f64 (+.f64 z (*.f64 (+.f64 (*.f64 z (+.f64 1/6 (*.f64 1/24 z))) 1/2) (pow.f64 z 2))) y)
(fma.f64 y z (fma.f64 1/2 (*.f64 y (*.f64 z z)) (fma.f64 1/24 (*.f64 y (pow.f64 z 4)) (*.f64 1/6 (*.f64 y (pow.f64 z 3))))))
(fma.f64 y z (fma.f64 1/2 (*.f64 y (*.f64 z z)) (fma.f64 1/6 (*.f64 y (pow.f64 z 3)) (*.f64 y (*.f64 (pow.f64 z 4) 1/24)))))
(*.f64 y (fma.f64 z (*.f64 z (fma.f64 z (fma.f64 z 1/24 1/6) 1/2)) z))
(*.f64 y (*.f64 z (fma.f64 z (fma.f64 z (fma.f64 z 1/24 1/6) 1/2) 1)))
(*.f64 1/24 z)
(*.f64 z 1/24)
(*.f64 1/24 z)
(*.f64 z 1/24)
(*.f64 1/24 z)
(*.f64 z 1/24)
(*.f64 1/24 z)
(*.f64 z 1/24)
(*.f64 1/24 z)
(*.f64 z 1/24)
(*.f64 1/24 z)
(*.f64 z 1/24)
(*.f64 1/24 z)
(*.f64 z 1/24)
(*.f64 1/24 z)
(*.f64 z 1/24)
(*.f64 1/24 z)
(*.f64 z 1/24)
(*.f64 1/24 z)
(*.f64 z 1/24)
(*.f64 1/24 z)
(*.f64 z 1/24)
(*.f64 1/24 z)
(*.f64 z 1/24)
(*.f64 1/6 z)
(*.f64 z 1/6)
(+.f64 (*.f64 1/24 (pow.f64 z 2)) (*.f64 1/6 z))
(fma.f64 1/24 (*.f64 z z) (*.f64 z 1/6))
(*.f64 z (fma.f64 z 1/24 1/6))
(+.f64 (*.f64 1/24 (pow.f64 z 2)) (*.f64 1/6 z))
(fma.f64 1/24 (*.f64 z z) (*.f64 z 1/6))
(*.f64 z (fma.f64 z 1/24 1/6))
(+.f64 (*.f64 1/24 (pow.f64 z 2)) (*.f64 1/6 z))
(fma.f64 1/24 (*.f64 z z) (*.f64 z 1/6))
(*.f64 z (fma.f64 z 1/24 1/6))
(*.f64 1/24 (pow.f64 z 2))
(*.f64 (*.f64 z z) 1/24)
(*.f64 z (*.f64 z 1/24))
(+.f64 (*.f64 1/24 (pow.f64 z 2)) (*.f64 1/6 z))
(fma.f64 1/24 (*.f64 z z) (*.f64 z 1/6))
(*.f64 z (fma.f64 z 1/24 1/6))
(+.f64 (*.f64 1/24 (pow.f64 z 2)) (*.f64 1/6 z))
(fma.f64 1/24 (*.f64 z z) (*.f64 z 1/6))
(*.f64 z (fma.f64 z 1/24 1/6))
(+.f64 (*.f64 1/24 (pow.f64 z 2)) (*.f64 1/6 z))
(fma.f64 1/24 (*.f64 z z) (*.f64 z 1/6))
(*.f64 z (fma.f64 z 1/24 1/6))
(*.f64 1/24 (pow.f64 z 2))
(*.f64 (*.f64 z z) 1/24)
(*.f64 z (*.f64 z 1/24))
(+.f64 (*.f64 1/24 (pow.f64 z 2)) (*.f64 1/6 z))
(fma.f64 1/24 (*.f64 z z) (*.f64 z 1/6))
(*.f64 z (fma.f64 z 1/24 1/6))
(+.f64 (*.f64 1/24 (pow.f64 z 2)) (*.f64 1/6 z))
(fma.f64 1/24 (*.f64 z z) (*.f64 z 1/6))
(*.f64 z (fma.f64 z 1/24 1/6))
(+.f64 (*.f64 1/24 (pow.f64 z 2)) (*.f64 1/6 z))
(fma.f64 1/24 (*.f64 z z) (*.f64 z 1/6))
(*.f64 z (fma.f64 z 1/24 1/6))

localize14.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(/.f64 (exp.f64 z) t)
✓0.1b
(*.f64 y (-.f64 (/.f64 1 t) (/.f64 (exp.f64 z) t)))
✓3.7b
(-.f64 (/.f64 1 t) (/.f64 (exp.f64 z) t))
Compiler

Compiled 35 to 16 computations (54.3% saved)

series11.0ms (0%)

Counts
3 → 36
Calls

21 calls:

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

rewrite229.0ms (0.9%)

Algorithm
1×batch-egg-rewrite
Rules
760×prod-diff_binary64
537×log-prod_binary64
296×fma-def_binary64
282×pow2_binary64
227×egg-rr
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01027
121327
2307527
Stop Event
1×node limit
Counts
3 → 299
Calls
Call 1
Inputs
(-.f64 (/.f64 1 t) (/.f64 (exp.f64 z) t))
(*.f64 y (-.f64 (/.f64 1 t) (/.f64 (exp.f64 z) t)))
(/.f64 (exp.f64 z) t)
Outputs
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simplify79.0ms (0.3%)

Algorithm
1×egg-herbie
Rules
538×cancel-sign-sub-inv_binary64
531×fma-neg_binary64
435×fma-def_binary64
404×associate-*l/_binary64
384×*-commutative_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
068519
1190514
2449514
31222468
43284451
57680451
Stop Event
1×node limit
Counts
335 → 325
Calls
Call 1
Inputs
(/.f64 (-.f64 1 (exp.f64 z)) t)
(/.f64 (-.f64 1 (exp.f64 z)) t)
(/.f64 (-.f64 1 (exp.f64 z)) t)
(/.f64 (-.f64 1 (exp.f64 z)) t)
(/.f64 (-.f64 1 (exp.f64 z)) t)
(/.f64 (-.f64 1 (exp.f64 z)) t)
(/.f64 (-.f64 1 (exp.f64 z)) t)
(/.f64 (-.f64 1 (exp.f64 z)) t)
(/.f64 (+.f64 1 (*.f64 -1 (exp.f64 z))) t)
(/.f64 (+.f64 1 (*.f64 -1 (exp.f64 z))) t)
(/.f64 (+.f64 1 (*.f64 -1 (exp.f64 z))) t)
(/.f64 (+.f64 1 (*.f64 -1 (exp.f64 z))) t)
(*.f64 -1 (/.f64 z t))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 z 2) t)) (*.f64 -1 (/.f64 z t)))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 z 2) t)) (+.f64 (*.f64 -1/6 (/.f64 (pow.f64 z 3) t)) (*.f64 -1 (/.f64 z t))))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 z 2) t)) (+.f64 (*.f64 -1/6 (/.f64 (pow.f64 z 3) t)) (+.f64 (*.f64 -1/24 (/.f64 (pow.f64 z 4) t)) (*.f64 -1 (/.f64 z t)))))
(/.f64 (*.f64 y (-.f64 1 (exp.f64 z))) t)
(/.f64 (*.f64 y (-.f64 1 (exp.f64 z))) t)
(/.f64 (*.f64 y (-.f64 1 (exp.f64 z))) t)
(/.f64 (*.f64 y (-.f64 1 (exp.f64 z))) t)
(/.f64 (*.f64 y (-.f64 1 (exp.f64 z))) t)
(/.f64 (*.f64 y (-.f64 1 (exp.f64 z))) t)
(/.f64 (*.f64 y (-.f64 1 (exp.f64 z))) t)
(/.f64 (*.f64 y (-.f64 1 (exp.f64 z))) t)
(/.f64 (*.f64 y (+.f64 1 (*.f64 -1 (exp.f64 z)))) t)
(/.f64 (*.f64 y (+.f64 1 (*.f64 -1 (exp.f64 z)))) t)
(/.f64 (*.f64 y (+.f64 1 (*.f64 -1 (exp.f64 z)))) t)
(/.f64 (*.f64 y (+.f64 1 (*.f64 -1 (exp.f64 z)))) t)
(*.f64 -1 (/.f64 (*.f64 y z) t))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) (*.f64 -1/2 (/.f64 (*.f64 y (pow.f64 z 2)) t)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 y (pow.f64 z 2)) t)) (*.f64 -1/6 (/.f64 (*.f64 y (pow.f64 z 3)) t))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 y (pow.f64 z 2)) t)) (+.f64 (*.f64 -1/24 (/.f64 (*.f64 y (pow.f64 z 4)) t)) (*.f64 -1/6 (/.f64 (*.f64 y (pow.f64 z 3)) t)))))
(/.f64 1 t)
(+.f64 (/.f64 z t) (/.f64 1 t))
(+.f64 (/.f64 z t) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 z 2) t)) (/.f64 1 t)))
(+.f64 (/.f64 z t) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 z 2) t)) (+.f64 (/.f64 1 t) (*.f64 1/6 (/.f64 (pow.f64 z 3) t)))))
Outputs
(/.f64 (-.f64 1 (exp.f64 z)) t)
(/.f64 (neg.f64 (expm1.f64 z)) t)
(/.f64 (-.f64 1 (exp.f64 z)) t)
(/.f64 (neg.f64 (expm1.f64 z)) t)
(/.f64 (-.f64 1 (exp.f64 z)) t)
(/.f64 (neg.f64 (expm1.f64 z)) t)
(/.f64 (-.f64 1 (exp.f64 z)) t)
(/.f64 (neg.f64 (expm1.f64 z)) t)
(/.f64 (-.f64 1 (exp.f64 z)) t)
(/.f64 (neg.f64 (expm1.f64 z)) t)
(/.f64 (-.f64 1 (exp.f64 z)) t)
(/.f64 (neg.f64 (expm1.f64 z)) t)
(/.f64 (-.f64 1 (exp.f64 z)) t)
(/.f64 (neg.f64 (expm1.f64 z)) t)
(/.f64 (-.f64 1 (exp.f64 z)) t)
(/.f64 (neg.f64 (expm1.f64 z)) t)
(/.f64 (+.f64 1 (*.f64 -1 (exp.f64 z))) t)
(/.f64 (-.f64 1 (exp.f64 z)) t)
(/.f64 (neg.f64 (expm1.f64 z)) t)
(/.f64 (+.f64 1 (*.f64 -1 (exp.f64 z))) t)
(/.f64 (-.f64 1 (exp.f64 z)) t)
(/.f64 (neg.f64 (expm1.f64 z)) t)
(/.f64 (+.f64 1 (*.f64 -1 (exp.f64 z))) t)
(/.f64 (-.f64 1 (exp.f64 z)) t)
(/.f64 (neg.f64 (expm1.f64 z)) t)
(/.f64 (+.f64 1 (*.f64 -1 (exp.f64 z))) t)
(/.f64 (-.f64 1 (exp.f64 z)) t)
(/.f64 (neg.f64 (expm1.f64 z)) t)
(*.f64 -1 (/.f64 z t))
(neg.f64 (/.f64 z t))
(/.f64 (neg.f64 z) t)
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 z 2) t)) (*.f64 -1 (/.f64 z t)))
(fma.f64 -1/2 (/.f64 (*.f64 z z) t) (neg.f64 (/.f64 z t)))
(fma.f64 -1/2 (/.f64 z (/.f64 t z)) (/.f64 (neg.f64 z) t))
(-.f64 (*.f64 -1/2 (*.f64 (/.f64 z t) z)) (/.f64 z t))
(-.f64 (*.f64 (*.f64 z z) (/.f64 -1/2 t)) (/.f64 z t))
(-.f64 (*.f64 -1/2 (/.f64 z (/.f64 t z))) (/.f64 z t))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 z 2) t)) (+.f64 (*.f64 -1/6 (/.f64 (pow.f64 z 3) t)) (*.f64 -1 (/.f64 z t))))
(fma.f64 -1/2 (/.f64 (*.f64 z z) t) (fma.f64 -1/6 (/.f64 (pow.f64 z 3) t) (neg.f64 (/.f64 z t))))
(fma.f64 -1/2 (/.f64 z (/.f64 t z)) (fma.f64 -1/6 (/.f64 (pow.f64 z 3) t) (/.f64 (neg.f64 z) t)))
(fma.f64 -1/2 (*.f64 (/.f64 z t) z) (-.f64 (*.f64 -1/6 (/.f64 (pow.f64 z 3) t)) (/.f64 z t)))
(-.f64 (*.f64 (*.f64 z z) (+.f64 (/.f64 -1/2 t) (*.f64 (/.f64 -1/6 t) z))) (/.f64 z t))
(fma.f64 z (*.f64 z (+.f64 (/.f64 -1/2 t) (/.f64 -1/6 (/.f64 t z)))) (/.f64 (neg.f64 z) t))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 z 2) t)) (+.f64 (*.f64 -1/6 (/.f64 (pow.f64 z 3) t)) (+.f64 (*.f64 -1/24 (/.f64 (pow.f64 z 4) t)) (*.f64 -1 (/.f64 z t)))))
(fma.f64 -1/2 (/.f64 (*.f64 z z) t) (fma.f64 -1/6 (/.f64 (pow.f64 z 3) t) (fma.f64 -1/24 (/.f64 (pow.f64 z 4) t) (neg.f64 (/.f64 z t)))))
(fma.f64 -1/2 (/.f64 z (/.f64 t z)) (-.f64 (fma.f64 -1/6 (/.f64 (pow.f64 z 3) t) (/.f64 -1/24 (/.f64 t (pow.f64 z 4)))) (/.f64 z t)))
(fma.f64 -1/2 (*.f64 (/.f64 z t) z) (-.f64 (fma.f64 -1/6 (/.f64 (pow.f64 z 3) t) (*.f64 -1/24 (/.f64 (pow.f64 z 4) t))) (/.f64 z t)))
(-.f64 (fma.f64 -1/24 (/.f64 (pow.f64 z 4) t) (*.f64 (*.f64 z z) (+.f64 (/.f64 -1/2 t) (*.f64 (/.f64 -1/6 t) z)))) (/.f64 z t))
(-.f64 (*.f64 (*.f64 z z) (+.f64 (*.f64 z (+.f64 (/.f64 -1/6 t) (/.f64 -1/24 (/.f64 t z)))) (/.f64 -1/2 t))) (/.f64 z t))
(/.f64 (*.f64 y (-.f64 1 (exp.f64 z))) t)
(/.f64 y (/.f64 t (-.f64 1 (exp.f64 z))))
(*.f64 (/.f64 y t) (-.f64 1 (exp.f64 z)))
(*.f64 (-.f64 1 (exp.f64 z)) (/.f64 y t))
(*.f64 (neg.f64 (expm1.f64 z)) (/.f64 y t))
(/.f64 (*.f64 y (-.f64 1 (exp.f64 z))) t)
(/.f64 y (/.f64 t (-.f64 1 (exp.f64 z))))
(*.f64 (/.f64 y t) (-.f64 1 (exp.f64 z)))
(*.f64 (-.f64 1 (exp.f64 z)) (/.f64 y t))
(*.f64 (neg.f64 (expm1.f64 z)) (/.f64 y t))
(/.f64 (*.f64 y (-.f64 1 (exp.f64 z))) t)
(/.f64 y (/.f64 t (-.f64 1 (exp.f64 z))))
(*.f64 (/.f64 y t) (-.f64 1 (exp.f64 z)))
(*.f64 (-.f64 1 (exp.f64 z)) (/.f64 y t))
(*.f64 (neg.f64 (expm1.f64 z)) (/.f64 y t))
(/.f64 (*.f64 y (-.f64 1 (exp.f64 z))) t)
(/.f64 y (/.f64 t (-.f64 1 (exp.f64 z))))
(*.f64 (/.f64 y t) (-.f64 1 (exp.f64 z)))
(*.f64 (-.f64 1 (exp.f64 z)) (/.f64 y t))
(*.f64 (neg.f64 (expm1.f64 z)) (/.f64 y t))
(/.f64 (*.f64 y (-.f64 1 (exp.f64 z))) t)
(/.f64 y (/.f64 t (-.f64 1 (exp.f64 z))))
(*.f64 (/.f64 y t) (-.f64 1 (exp.f64 z)))
(*.f64 (-.f64 1 (exp.f64 z)) (/.f64 y t))
(*.f64 (neg.f64 (expm1.f64 z)) (/.f64 y t))
(/.f64 (*.f64 y (-.f64 1 (exp.f64 z))) t)
(/.f64 y (/.f64 t (-.f64 1 (exp.f64 z))))
(*.f64 (/.f64 y t) (-.f64 1 (exp.f64 z)))
(*.f64 (-.f64 1 (exp.f64 z)) (/.f64 y t))
(*.f64 (neg.f64 (expm1.f64 z)) (/.f64 y t))
(/.f64 (*.f64 y (-.f64 1 (exp.f64 z))) t)
(/.f64 y (/.f64 t (-.f64 1 (exp.f64 z))))
(*.f64 (/.f64 y t) (-.f64 1 (exp.f64 z)))
(*.f64 (-.f64 1 (exp.f64 z)) (/.f64 y t))
(*.f64 (neg.f64 (expm1.f64 z)) (/.f64 y t))
(/.f64 (*.f64 y (-.f64 1 (exp.f64 z))) t)
(/.f64 y (/.f64 t (-.f64 1 (exp.f64 z))))
(*.f64 (/.f64 y t) (-.f64 1 (exp.f64 z)))
(*.f64 (-.f64 1 (exp.f64 z)) (/.f64 y t))
(*.f64 (neg.f64 (expm1.f64 z)) (/.f64 y t))
(/.f64 (*.f64 y (+.f64 1 (*.f64 -1 (exp.f64 z)))) t)
(/.f64 y (/.f64 t (-.f64 1 (exp.f64 z))))
(*.f64 (/.f64 y t) (-.f64 1 (exp.f64 z)))
(*.f64 (-.f64 1 (exp.f64 z)) (/.f64 y t))
(*.f64 (neg.f64 (expm1.f64 z)) (/.f64 y t))
(/.f64 (*.f64 y (+.f64 1 (*.f64 -1 (exp.f64 z)))) t)
(/.f64 y (/.f64 t (-.f64 1 (exp.f64 z))))
(*.f64 (/.f64 y t) (-.f64 1 (exp.f64 z)))
(*.f64 (-.f64 1 (exp.f64 z)) (/.f64 y t))
(*.f64 (neg.f64 (expm1.f64 z)) (/.f64 y t))
(/.f64 (*.f64 y (+.f64 1 (*.f64 -1 (exp.f64 z)))) t)
(/.f64 y (/.f64 t (-.f64 1 (exp.f64 z))))
(*.f64 (/.f64 y t) (-.f64 1 (exp.f64 z)))
(*.f64 (-.f64 1 (exp.f64 z)) (/.f64 y t))
(*.f64 (neg.f64 (expm1.f64 z)) (/.f64 y t))
(/.f64 (*.f64 y (+.f64 1 (*.f64 -1 (exp.f64 z)))) t)
(/.f64 y (/.f64 t (-.f64 1 (exp.f64 z))))
(*.f64 (/.f64 y t) (-.f64 1 (exp.f64 z)))
(*.f64 (-.f64 1 (exp.f64 z)) (/.f64 y t))
(*.f64 (neg.f64 (expm1.f64 z)) (/.f64 y t))
(*.f64 -1 (/.f64 (*.f64 y z) t))
(neg.f64 (/.f64 y (/.f64 t z)))
(/.f64 (*.f64 (neg.f64 z) y) t)
(*.f64 (/.f64 y t) (neg.f64 z))
(*.f64 z (/.f64 (neg.f64 y) t))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) (*.f64 -1/2 (/.f64 (*.f64 y (pow.f64 z 2)) t)))
(fma.f64 -1 (/.f64 y (/.f64 t z)) (/.f64 (*.f64 -1/2 (*.f64 (*.f64 z z) y)) t))
(-.f64 (/.f64 (*.f64 -1/2 (*.f64 (*.f64 z z) y)) t) (/.f64 y (/.f64 t z)))
(-.f64 (*.f64 -1/2 (*.f64 (*.f64 z z) (/.f64 y t))) (*.f64 z (/.f64 y t)))
(*.f64 (/.f64 y t) (-.f64 (*.f64 -1/2 (*.f64 z z)) z))
(*.f64 (/.f64 y t) (fma.f64 -1/2 (*.f64 z z) (neg.f64 z)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 y (pow.f64 z 2)) t)) (*.f64 -1/6 (/.f64 (*.f64 y (pow.f64 z 3)) t))))
(fma.f64 -1 (/.f64 y (/.f64 t z)) (fma.f64 -1/2 (/.f64 y (/.f64 t (*.f64 z z))) (*.f64 -1/6 (/.f64 y (/.f64 t (pow.f64 z 3))))))
(-.f64 (fma.f64 -1/6 (*.f64 (/.f64 y t) (pow.f64 z 3)) (/.f64 (*.f64 -1/2 (*.f64 (*.f64 z z) y)) t)) (/.f64 y (/.f64 t z)))
(-.f64 (fma.f64 -1/2 (*.f64 (*.f64 z z) (/.f64 y t)) (*.f64 -1/6 (*.f64 (pow.f64 z 3) (/.f64 y t)))) (*.f64 z (/.f64 y t)))
(fma.f64 (/.f64 -1/6 t) (*.f64 (pow.f64 z 3) y) (*.f64 (/.f64 y t) (-.f64 (*.f64 -1/2 (*.f64 z z)) z)))
(*.f64 (/.f64 y t) (-.f64 (*.f64 (*.f64 z z) (+.f64 (*.f64 z -1/6) -1/2)) z))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 y (pow.f64 z 2)) t)) (+.f64 (*.f64 -1/24 (/.f64 (*.f64 y (pow.f64 z 4)) t)) (*.f64 -1/6 (/.f64 (*.f64 y (pow.f64 z 3)) t)))))
(fma.f64 -1 (/.f64 y (/.f64 t z)) (fma.f64 -1/2 (/.f64 y (/.f64 t (*.f64 z z))) (fma.f64 -1/24 (/.f64 y (/.f64 t (pow.f64 z 4))) (*.f64 -1/6 (/.f64 y (/.f64 t (pow.f64 z 3)))))))
(-.f64 (fma.f64 -1/2 (*.f64 (/.f64 y t) (*.f64 z z)) (fma.f64 -1/6 (*.f64 (/.f64 y t) (pow.f64 z 3)) (/.f64 (*.f64 (*.f64 -1/24 y) (pow.f64 z 4)) t))) (/.f64 y (/.f64 t z)))
(-.f64 (fma.f64 -1/2 (*.f64 (*.f64 z z) (/.f64 y t)) (fma.f64 -1/6 (*.f64 (pow.f64 z 3) (/.f64 y t)) (*.f64 -1/24 (*.f64 (pow.f64 z 4) (/.f64 y t))))) (*.f64 z (/.f64 y t)))
(+.f64 (*.f64 (/.f64 y t) (-.f64 (*.f64 -1/2 (*.f64 z z)) z)) (*.f64 (/.f64 y t) (+.f64 (*.f64 -1/6 (pow.f64 z 3)) (*.f64 -1/24 (pow.f64 z 4)))))
(*.f64 (/.f64 y t) (-.f64 (*.f64 (*.f64 z z) (+.f64 (*.f64 z -1/6) -1/2)) (+.f64 z (*.f64 1/24 (pow.f64 z 4)))))
(/.f64 1 t)
(+.f64 (/.f64 z t) (/.f64 1 t))
(+.f64 (/.f64 z t) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 z 2) t)) (/.f64 1 t)))
(+.f64 (/.f64 z t) (fma.f64 1/2 (/.f64 (*.f64 z z) t) (/.f64 1 t)))
(+.f64 (/.f64 z t) (fma.f64 (/.f64 z (/.f64 t z)) 1/2 (/.f64 1 t)))
(+.f64 (/.f64 z t) (fma.f64 (*.f64 (/.f64 z t) z) 1/2 (/.f64 1 t)))
(+.f64 (/.f64 z t) (fma.f64 (*.f64 z (/.f64 z t)) 1/2 (/.f64 1 t)))
(+.f64 (/.f64 z t) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 z 2) t)) (+.f64 (/.f64 1 t) (*.f64 1/6 (/.f64 (pow.f64 z 3) t)))))
(+.f64 (/.f64 z t) (+.f64 (fma.f64 1/2 (/.f64 (*.f64 z z) t) (/.f64 1 t)) (*.f64 (/.f64 (pow.f64 z 3) t) 1/6)))
(+.f64 (/.f64 z t) (fma.f64 (/.f64 z (/.f64 t z)) 1/2 (fma.f64 (/.f64 (pow.f64 z 3) t) 1/6 (/.f64 1 t))))
(+.f64 (/.f64 z t) (fma.f64 (*.f64 (/.f64 z t) z) 1/2 (fma.f64 (/.f64 (pow.f64 z 3) t) 1/6 (/.f64 1 t))))
(+.f64 (/.f64 z t) (fma.f64 (/.f64 1/6 t) (pow.f64 z 3) (fma.f64 (*.f64 z (/.f64 z t)) 1/2 (/.f64 1 t))))

eval447.0ms (1.7%)

Compiler

Compiled 26463 to 12429 computations (53% saved)

prune234.0ms (0.9%)

Pruning

32 alts after pruning (25 fresh and 7 done)

PrunedKeptTotal
New97718995
Fresh8715
Picked101
Done178
Total987321019
Error
0.2b
Counts
1019 → 32
Alt Table
Click to see full alt table
StatusErrorProgram
✓21.5b
(-.f64 x (*.f64 (/.f64 1 t) (*.f64 z y)))
24.2b
(-.f64 x (*.f64 (/.f64 y t) (-.f64 z (*.f64 z (*.f64 z -1/2)))))
55.6b
(*.f64 (/.f64 y t) (-.f64 (*.f64 (*.f64 z z) (+.f64 (*.f64 z -1/6) -1/2)) z))
▶48.6b
(*.f64 y (/.f64 (neg.f64 (expm1.f64 z)) t))
21.2b
(-.f64 x (/.f64 1 (/.f64 t (*.f64 z y))))
23.1b
(-.f64 x (/.f64 (exp.f64 (log.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) t))
▶15.5b
(-.f64 x (/.f64 1 (+.f64 (/.f64 t (*.f64 (-.f64 (exp.f64 z) 1) y)) (*.f64 1/2 t))))
55.1b
(/.f64 (*.f64 y z) (neg.f64 t))
✓25.6b
(-.f64 x (/.f64 (*.f64 (+.f64 z (*.f64 (*.f64 z z) (+.f64 1/2 (*.f64 z (+.f64 1/6 (*.f64 z 1/24)))))) y) t))
✓2.2b
(-.f64 x (/.f64 1 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z))))))
20.4b
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (+.f64 z (*.f64 1/2 (*.f64 z z))))) t))
62.3b
(/.f64 (*.f64 y z) t)
61.0b
(*.f64 y (/.f64 (-.f64 t (*.f64 t (exp.f64 z))) (*.f64 t t)))
✓2.5b
(-.f64 x (*.f64 (/.f64 1 t) (log1p.f64 (*.f64 y (expm1.f64 z)))))
19.9b
(-.f64 x (/.f64 y (/.f64 t z)))
50.2b
(*.f64 (neg.f64 (expm1.f64 z)) (/.f64 y t))
21.2b
(-.f64 x (/.f64 z (/.f64 t y)))
▶62.2b
(/.f64 y (/.f64 t z))
55.3b
(-.f64 x (/.f64 (+.f64 (log.f64 (expm1.f64 z)) (log.f64 y)) t))
54.1b
(*.f64 y (-.f64 (*.f64 (*.f64 z z) (+.f64 (*.f64 z (+.f64 (/.f64 -1/6 t) (/.f64 -1/24 (/.f64 t z)))) (/.f64 -1/2 t))) (/.f64 z t)))
✓2.2b
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))
▶11.3b
(-.f64 x (/.f64 (expm1.f64 z) (/.f64 t y)))
20.4b
(fma.f64 (*.f64 (/.f64 -1 t) z) y x)
▶62.0b
(*.f64 y (-.f64 (/.f64 1 t) (/.f64 1 t)))
20.4b
(-.f64 x (/.f64 1 (/.f64 t (log1p.f64 (*.f64 y (+.f64 z (*.f64 1/2 (*.f64 z z))))))))
54.2b
(*.f64 y (-.f64 (*.f64 -1/2 (/.f64 z (/.f64 t z))) (/.f64 z t)))
25.7b
(-.f64 x (/.f64 1 (fma.f64 -1/2 (*.f64 (/.f64 t (*.f64 y y)) (-.f64 y (*.f64 y y))) (/.f64 t (*.f64 z y)))))
22.1b
x
✓9.9b
(-.f64 x (*.f64 y (/.f64 (expm1.f64 z) t)))
55.6b
(*.f64 z (/.f64 (neg.f64 y) t))
✓54.1b
(*.f64 y (/.f64 (neg.f64 z) t))
32.5b
(-.f64 x (/.f64 (*.f64 1/24 (*.f64 y (pow.f64 z 4))) t))
Compiler

Compiled 824 to 562 computations (31.8% saved)

localize10.0ms (0%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(-.f64 x (/.f64 (expm1.f64 z) (/.f64 t y)))
✓2.9b
(/.f64 (expm1.f64 z) (/.f64 t y))
Compiler

Compiled 27 to 8 computations (70.4% saved)

series6.0ms (0%)

Counts
2 → 84
Calls

21 calls:

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

rewrite112.0ms (0.4%)

Algorithm
1×batch-egg-rewrite
Rules
710×prod-diff_binary64
572×log-prod_binary64
280×pow2_binary64
233×fma-def_binary64
208×egg-rr
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0921
120021
2300621
Stop Event
1×node limit
Counts
2 → 256
Calls
Call 1
Inputs
(/.f64 (expm1.f64 z) (/.f64 t y))
(-.f64 x (/.f64 (expm1.f64 z) (/.f64 t y)))
Outputs
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simplify70.0ms (0.3%)

Algorithm
1×egg-herbie
Rules
522×cancel-sign-sub-inv_binary64
512×associate-*l/_binary64
510×associate-*r*_binary64
455×associate-/l/_binary64
409×associate-*l*_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
053942
1143933
2355933
31038911
44172888
Stop Event
1×node limit
Counts
340 → 279
Calls
Call 1
Inputs
(/.f64 (*.f64 y z) t)
(+.f64 (/.f64 (*.f64 y z) t) (*.f64 1/2 (/.f64 (*.f64 y (pow.f64 z 2)) t)))
(+.f64 (*.f64 1/6 (/.f64 (*.f64 y (pow.f64 z 3)) t)) (+.f64 (/.f64 (*.f64 y z) t) (*.f64 1/2 (/.f64 (*.f64 y (pow.f64 z 2)) t))))
(+.f64 (*.f64 1/24 (/.f64 (*.f64 y (pow.f64 z 4)) t)) (+.f64 (*.f64 1/6 (/.f64 (*.f64 y (pow.f64 z 3)) t)) (+.f64 (/.f64 (*.f64 y z) t) (*.f64 1/2 (/.f64 (*.f64 y (pow.f64 z 2)) t)))))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)) x)
x
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)) x)
x
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)) x)
x
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 y (pow.f64 z 2)) t)) x))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 y (pow.f64 z 2)) t)) (+.f64 (*.f64 -1/6 (/.f64 (*.f64 y (pow.f64 z 3)) t)) x)))
(-.f64 x (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(-.f64 x (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(-.f64 x (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(-.f64 x (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(-.f64 x (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(-.f64 x (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(-.f64 x (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(-.f64 x (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)) x)
x
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)) x)
x
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)) x)
x
(+.f64 (*.f64 y (-.f64 (/.f64 1 t) (/.f64 (exp.f64 z) t))) x)
(+.f64 (*.f64 y (-.f64 (/.f64 1 t) (/.f64 (exp.f64 z) t))) x)
(+.f64 (*.f64 y (-.f64 (/.f64 1 t) (/.f64 (exp.f64 z) t))) x)
(*.f64 y (-.f64 (/.f64 1 t) (/.f64 (exp.f64 z) t)))
(+.f64 (*.f64 y (-.f64 (/.f64 1 t) (/.f64 (exp.f64 z) t))) x)
(+.f64 (*.f64 y (-.f64 (/.f64 1 t) (/.f64 (exp.f64 z) t))) x)
(+.f64 (*.f64 y (-.f64 (/.f64 1 t) (/.f64 (exp.f64 z) t))) x)
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)) x)
Outputs
(/.f64 (*.f64 y z) t)
(*.f64 (/.f64 y t) z)
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(+.f64 (/.f64 (*.f64 y z) t) (*.f64 1/2 (/.f64 (*.f64 y (pow.f64 z 2)) t)))
(+.f64 (/.f64 (*.f64 y z) t) (*.f64 1/2 (/.f64 y (/.f64 t (*.f64 z z)))))
(fma.f64 1/2 (*.f64 (/.f64 y t) (*.f64 z z)) (*.f64 (/.f64 y t) z))
(fma.f64 (/.f64 y t) z (/.f64 1/2 (/.f64 (/.f64 t z) (*.f64 y z))))
(*.f64 (/.f64 y t) (+.f64 z (*.f64 z (*.f64 z 1/2))))
(*.f64 (/.f64 y t) (+.f64 z (*.f64 1/2 (*.f64 z z))))
(+.f64 (*.f64 1/6 (/.f64 (*.f64 y (pow.f64 z 3)) t)) (+.f64 (/.f64 (*.f64 y z) t) (*.f64 1/2 (/.f64 (*.f64 y (pow.f64 z 2)) t))))
(fma.f64 1/6 (/.f64 (*.f64 y (pow.f64 z 3)) t) (+.f64 (/.f64 (*.f64 y z) t) (*.f64 1/2 (/.f64 y (/.f64 t (*.f64 z z))))))
(fma.f64 1/6 (*.f64 (/.f64 y t) (pow.f64 z 3)) (fma.f64 1/2 (*.f64 (/.f64 y t) (*.f64 z z)) (*.f64 (/.f64 y t) z)))
(fma.f64 1/2 (*.f64 (*.f64 z (/.f64 y t)) z) (fma.f64 1/6 (*.f64 (pow.f64 z 3) (/.f64 y t)) (*.f64 z (/.f64 y t))))
(fma.f64 1/2 (*.f64 y (/.f64 z (/.f64 t z))) (*.f64 (/.f64 y t) (-.f64 z (*.f64 (pow.f64 z 3) -1/6))))
(*.f64 (/.f64 y t) (-.f64 z (*.f64 (*.f64 z z) (+.f64 -1/2 (*.f64 z -1/6)))))
(+.f64 (*.f64 1/24 (/.f64 (*.f64 y (pow.f64 z 4)) t)) (+.f64 (*.f64 1/6 (/.f64 (*.f64 y (pow.f64 z 3)) t)) (+.f64 (/.f64 (*.f64 y z) t) (*.f64 1/2 (/.f64 (*.f64 y (pow.f64 z 2)) t)))))
(fma.f64 1/24 (/.f64 (*.f64 y (pow.f64 z 4)) t) (fma.f64 1/6 (/.f64 (*.f64 y (pow.f64 z 3)) t) (+.f64 (/.f64 (*.f64 y z) t) (*.f64 1/2 (/.f64 y (/.f64 t (*.f64 z z)))))))
(fma.f64 1/24 (*.f64 (/.f64 y t) (pow.f64 z 4)) (fma.f64 1/6 (*.f64 (/.f64 y t) (pow.f64 z 3)) (fma.f64 1/2 (*.f64 (/.f64 y t) (*.f64 z z)) (*.f64 (/.f64 y t) z))))
(fma.f64 1/6 (*.f64 (pow.f64 z 3) (/.f64 y t)) (fma.f64 1/24 (*.f64 (pow.f64 z 4) (/.f64 y t)) (fma.f64 (/.f64 y t) z (/.f64 1/2 (/.f64 (/.f64 t z) (*.f64 y z))))))
(+.f64 (*.f64 (/.f64 y t) (+.f64 z (*.f64 z (*.f64 z 1/2)))) (*.f64 (/.f64 y t) (+.f64 (*.f64 1/6 (pow.f64 z 3)) (*.f64 1/24 (pow.f64 z 4)))))
(*.f64 (/.f64 y t) (+.f64 (+.f64 z (*.f64 1/2 (*.f64 z z))) (*.f64 (pow.f64 z 3) (+.f64 1/6 (*.f64 z 1/24)))))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (expm1.f64 z) (/.f64 t y))
(/.f64 y (/.f64 t (expm1.f64 z)))
(*.f64 y (/.f64 (expm1.f64 z) t))
(*.f64 (expm1.f64 z) (/.f64 y t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (expm1.f64 z) (/.f64 t y))
(/.f64 y (/.f64 t (expm1.f64 z)))
(*.f64 y (/.f64 (expm1.f64 z) t))
(*.f64 (expm1.f64 z) (/.f64 y t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (expm1.f64 z) (/.f64 t y))
(/.f64 y (/.f64 t (expm1.f64 z)))
(*.f64 y (/.f64 (expm1.f64 z) t))
(*.f64 (expm1.f64 z) (/.f64 y t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (expm1.f64 z) (/.f64 t y))
(/.f64 y (/.f64 t (expm1.f64 z)))
(*.f64 y (/.f64 (expm1.f64 z) t))
(*.f64 (expm1.f64 z) (/.f64 y t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (expm1.f64 z) (/.f64 t y))
(/.f64 y (/.f64 t (expm1.f64 z)))
(*.f64 y (/.f64 (expm1.f64 z) t))
(*.f64 (expm1.f64 z) (/.f64 y t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (expm1.f64 z) (/.f64 t y))
(/.f64 y (/.f64 t (expm1.f64 z)))
(*.f64 y (/.f64 (expm1.f64 z) t))
(*.f64 (expm1.f64 z) (/.f64 y t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (expm1.f64 z) (/.f64 t y))
(/.f64 y (/.f64 t (expm1.f64 z)))
(*.f64 y (/.f64 (expm1.f64 z) t))
(*.f64 (expm1.f64 z) (/.f64 y t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (expm1.f64 z) (/.f64 t y))
(/.f64 y (/.f64 t (expm1.f64 z)))
(*.f64 y (/.f64 (expm1.f64 z) t))
(*.f64 (expm1.f64 z) (/.f64 y t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (expm1.f64 z) (/.f64 t y))
(/.f64 y (/.f64 t (expm1.f64 z)))
(*.f64 y (/.f64 (expm1.f64 z) t))
(*.f64 (expm1.f64 z) (/.f64 y t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (expm1.f64 z) (/.f64 t y))
(/.f64 y (/.f64 t (expm1.f64 z)))
(*.f64 y (/.f64 (expm1.f64 z) t))
(*.f64 (expm1.f64 z) (/.f64 y t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (expm1.f64 z) (/.f64 t y))
(/.f64 y (/.f64 t (expm1.f64 z)))
(*.f64 y (/.f64 (expm1.f64 z) t))
(*.f64 (expm1.f64 z) (/.f64 y t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (expm1.f64 z) (/.f64 t y))
(/.f64 y (/.f64 t (expm1.f64 z)))
(*.f64 y (/.f64 (expm1.f64 z) t))
(*.f64 (expm1.f64 z) (/.f64 y t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (expm1.f64 z) (/.f64 t y))
(/.f64 y (/.f64 t (expm1.f64 z)))
(*.f64 y (/.f64 (expm1.f64 z) t))
(*.f64 (expm1.f64 z) (/.f64 y t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (expm1.f64 z) (/.f64 t y))
(/.f64 y (/.f64 t (expm1.f64 z)))
(*.f64 y (/.f64 (expm1.f64 z) t))
(*.f64 (expm1.f64 z) (/.f64 y t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (expm1.f64 z) (/.f64 t y))
(/.f64 y (/.f64 t (expm1.f64 z)))
(*.f64 y (/.f64 (expm1.f64 z) t))
(*.f64 (expm1.f64 z) (/.f64 y t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (expm1.f64 z) (/.f64 t y))
(/.f64 y (/.f64 t (expm1.f64 z)))
(*.f64 y (/.f64 (expm1.f64 z) t))
(*.f64 (expm1.f64 z) (/.f64 y t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (expm1.f64 z) (/.f64 t y))
(/.f64 y (/.f64 t (expm1.f64 z)))
(*.f64 y (/.f64 (expm1.f64 z) t))
(*.f64 (expm1.f64 z) (/.f64 y t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (expm1.f64 z) (/.f64 t y))
(/.f64 y (/.f64 t (expm1.f64 z)))
(*.f64 y (/.f64 (expm1.f64 z) t))
(*.f64 (expm1.f64 z) (/.f64 y t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (expm1.f64 z) (/.f64 t y))
(/.f64 y (/.f64 t (expm1.f64 z)))
(*.f64 y (/.f64 (expm1.f64 z) t))
(*.f64 (expm1.f64 z) (/.f64 y t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (expm1.f64 z) (/.f64 t y))
(/.f64 y (/.f64 t (expm1.f64 z)))
(*.f64 y (/.f64 (expm1.f64 z) t))
(*.f64 (expm1.f64 z) (/.f64 y t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (expm1.f64 z) (/.f64 t y))
(/.f64 y (/.f64 t (expm1.f64 z)))
(*.f64 y (/.f64 (expm1.f64 z) t))
(*.f64 (expm1.f64 z) (/.f64 y t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (expm1.f64 z) (/.f64 t y))
(/.f64 y (/.f64 t (expm1.f64 z)))
(*.f64 y (/.f64 (expm1.f64 z) t))
(*.f64 (expm1.f64 z) (/.f64 y t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (expm1.f64 z) (/.f64 t y))
(/.f64 y (/.f64 t (expm1.f64 z)))
(*.f64 y (/.f64 (expm1.f64 z) t))
(*.f64 (expm1.f64 z) (/.f64 y t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
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(*.f64 y (/.f64 (expm1.f64 z) t))
(*.f64 (expm1.f64 z) (/.f64 y t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (expm1.f64 z) (/.f64 t y))
(/.f64 y (/.f64 t (expm1.f64 z)))
(*.f64 y (/.f64 (expm1.f64 z) t))
(*.f64 (expm1.f64 z) (/.f64 y t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (expm1.f64 z) (/.f64 t y))
(/.f64 y (/.f64 t (expm1.f64 z)))
(*.f64 y (/.f64 (expm1.f64 z) t))
(*.f64 (expm1.f64 z) (/.f64 y t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (expm1.f64 z) (/.f64 t y))
(/.f64 y (/.f64 t (expm1.f64 z)))
(*.f64 y (/.f64 (expm1.f64 z) t))
(*.f64 (expm1.f64 z) (/.f64 y t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (expm1.f64 z) (/.f64 t y))
(/.f64 y (/.f64 t (expm1.f64 z)))
(*.f64 y (/.f64 (expm1.f64 z) t))
(*.f64 (expm1.f64 z) (/.f64 y t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (expm1.f64 z) (/.f64 t y))
(/.f64 y (/.f64 t (expm1.f64 z)))
(*.f64 y (/.f64 (expm1.f64 z) t))
(*.f64 (expm1.f64 z) (/.f64 y t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
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(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
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(*.f64 y (/.f64 (expm1.f64 z) t))
(*.f64 (expm1.f64 z) (/.f64 y t))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(neg.f64 (/.f64 (expm1.f64 z) (/.f64 t y)))
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(/.f64 (neg.f64 y) (/.f64 t (expm1.f64 z)))
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(-.f64 x (*.f64 y (/.f64 (expm1.f64 z) t)))
(fma.f64 y (neg.f64 (/.f64 (expm1.f64 z) t)) x)
(-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t)))
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(-.f64 x (/.f64 (expm1.f64 z) (/.f64 t y)))
(-.f64 x (/.f64 y (/.f64 t (expm1.f64 z))))
(-.f64 x (*.f64 y (/.f64 (expm1.f64 z) t)))
(fma.f64 y (neg.f64 (/.f64 (expm1.f64 z) t)) x)
(-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t)))
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(-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t)))
x
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)) x)
(-.f64 x (/.f64 (expm1.f64 z) (/.f64 t y)))
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x
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x
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(fma.f64 y (neg.f64 (/.f64 (expm1.f64 z) t)) x)
(-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t)))
(-.f64 x (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(-.f64 x (/.f64 (expm1.f64 z) (/.f64 t y)))
(-.f64 x (/.f64 y (/.f64 t (expm1.f64 z))))
(-.f64 x (*.f64 y (/.f64 (expm1.f64 z) t)))
(fma.f64 y (neg.f64 (/.f64 (expm1.f64 z) t)) x)
(-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t)))
(-.f64 x (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(-.f64 x (/.f64 (expm1.f64 z) (/.f64 t y)))
(-.f64 x (/.f64 y (/.f64 t (expm1.f64 z))))
(-.f64 x (*.f64 y (/.f64 (expm1.f64 z) t)))
(fma.f64 y (neg.f64 (/.f64 (expm1.f64 z) t)) x)
(-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t)))
(-.f64 x (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(-.f64 x (/.f64 (expm1.f64 z) (/.f64 t y)))
(-.f64 x (/.f64 y (/.f64 t (expm1.f64 z))))
(-.f64 x (*.f64 y (/.f64 (expm1.f64 z) t)))
(fma.f64 y (neg.f64 (/.f64 (expm1.f64 z) t)) x)
(-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t)))
(-.f64 x (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(-.f64 x (/.f64 (expm1.f64 z) (/.f64 t y)))
(-.f64 x (/.f64 y (/.f64 t (expm1.f64 z))))
(-.f64 x (*.f64 y (/.f64 (expm1.f64 z) t)))
(fma.f64 y (neg.f64 (/.f64 (expm1.f64 z) t)) x)
(-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t)))
(-.f64 x (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(-.f64 x (/.f64 (expm1.f64 z) (/.f64 t y)))
(-.f64 x (/.f64 y (/.f64 t (expm1.f64 z))))
(-.f64 x (*.f64 y (/.f64 (expm1.f64 z) t)))
(fma.f64 y (neg.f64 (/.f64 (expm1.f64 z) t)) x)
(-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t)))
(-.f64 x (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(-.f64 x (/.f64 (expm1.f64 z) (/.f64 t y)))
(-.f64 x (/.f64 y (/.f64 t (expm1.f64 z))))
(-.f64 x (*.f64 y (/.f64 (expm1.f64 z) t)))
(fma.f64 y (neg.f64 (/.f64 (expm1.f64 z) t)) x)
(-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t)))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(neg.f64 (/.f64 (expm1.f64 z) (/.f64 t y)))
(neg.f64 (/.f64 y (/.f64 t (expm1.f64 z))))
(/.f64 (neg.f64 y) (/.f64 t (expm1.f64 z)))
(*.f64 y (neg.f64 (/.f64 (expm1.f64 z) t)))
(*.f64 (expm1.f64 z) (/.f64 (neg.f64 y) t))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)) x)
(-.f64 x (/.f64 (expm1.f64 z) (/.f64 t y)))
(-.f64 x (/.f64 y (/.f64 t (expm1.f64 z))))
(-.f64 x (*.f64 y (/.f64 (expm1.f64 z) t)))
(fma.f64 y (neg.f64 (/.f64 (expm1.f64 z) t)) x)
(-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)) x)
(-.f64 x (/.f64 (expm1.f64 z) (/.f64 t y)))
(-.f64 x (/.f64 y (/.f64 t (expm1.f64 z))))
(-.f64 x (*.f64 y (/.f64 (expm1.f64 z) t)))
(fma.f64 y (neg.f64 (/.f64 (expm1.f64 z) t)) x)
(-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)) x)
(-.f64 x (/.f64 (expm1.f64 z) (/.f64 t y)))
(-.f64 x (/.f64 y (/.f64 t (expm1.f64 z))))
(-.f64 x (*.f64 y (/.f64 (expm1.f64 z) t)))
(fma.f64 y (neg.f64 (/.f64 (expm1.f64 z) t)) x)
(-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t)))
x
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)) x)
(-.f64 x (/.f64 (expm1.f64 z) (/.f64 t y)))
(-.f64 x (/.f64 y (/.f64 t (expm1.f64 z))))
(-.f64 x (*.f64 y (/.f64 (expm1.f64 z) t)))
(fma.f64 y (neg.f64 (/.f64 (expm1.f64 z) t)) x)
(-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)) x)
(-.f64 x (/.f64 (expm1.f64 z) (/.f64 t y)))
(-.f64 x (/.f64 y (/.f64 t (expm1.f64 z))))
(-.f64 x (*.f64 y (/.f64 (expm1.f64 z) t)))
(fma.f64 y (neg.f64 (/.f64 (expm1.f64 z) t)) x)
(-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)) x)
(-.f64 x (/.f64 (expm1.f64 z) (/.f64 t y)))
(-.f64 x (/.f64 y (/.f64 t (expm1.f64 z))))
(-.f64 x (*.f64 y (/.f64 (expm1.f64 z) t)))
(fma.f64 y (neg.f64 (/.f64 (expm1.f64 z) t)) x)
(-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t)))
x
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)) x)
(-.f64 x (/.f64 (expm1.f64 z) (/.f64 t y)))
(-.f64 x (/.f64 y (/.f64 t (expm1.f64 z))))
(-.f64 x (*.f64 y (/.f64 (expm1.f64 z) t)))
(fma.f64 y (neg.f64 (/.f64 (expm1.f64 z) t)) x)
(-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)) x)
(-.f64 x (/.f64 (expm1.f64 z) (/.f64 t y)))
(-.f64 x (/.f64 y (/.f64 t (expm1.f64 z))))
(-.f64 x (*.f64 y (/.f64 (expm1.f64 z) t)))
(fma.f64 y (neg.f64 (/.f64 (expm1.f64 z) t)) x)
(-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)) x)
(-.f64 x (/.f64 (expm1.f64 z) (/.f64 t y)))
(-.f64 x (/.f64 y (/.f64 t (expm1.f64 z))))
(-.f64 x (*.f64 y (/.f64 (expm1.f64 z) t)))
(fma.f64 y (neg.f64 (/.f64 (expm1.f64 z) t)) x)
(-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t)))
x
(+.f64 (*.f64 y (-.f64 (/.f64 1 t) (/.f64 (exp.f64 z) t))) x)
(-.f64 x (/.f64 (expm1.f64 z) (/.f64 t y)))
(-.f64 x (/.f64 y (/.f64 t (expm1.f64 z))))
(-.f64 x (*.f64 y (/.f64 (expm1.f64 z) t)))
(fma.f64 y (neg.f64 (/.f64 (expm1.f64 z) t)) x)
(-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t)))
(+.f64 (*.f64 y (-.f64 (/.f64 1 t) (/.f64 (exp.f64 z) t))) x)
(-.f64 x (/.f64 (expm1.f64 z) (/.f64 t y)))
(-.f64 x (/.f64 y (/.f64 t (expm1.f64 z))))
(-.f64 x (*.f64 y (/.f64 (expm1.f64 z) t)))
(fma.f64 y (neg.f64 (/.f64 (expm1.f64 z) t)) x)
(-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t)))
(+.f64 (*.f64 y (-.f64 (/.f64 1 t) (/.f64 (exp.f64 z) t))) x)
(-.f64 x (/.f64 (expm1.f64 z) (/.f64 t y)))
(-.f64 x (/.f64 y (/.f64 t (expm1.f64 z))))
(-.f64 x (*.f64 y (/.f64 (expm1.f64 z) t)))
(fma.f64 y (neg.f64 (/.f64 (expm1.f64 z) t)) x)
(-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t)))
(*.f64 y (-.f64 (/.f64 1 t) (/.f64 (exp.f64 z) t)))
(neg.f64 (/.f64 (expm1.f64 z) (/.f64 t y)))
(neg.f64 (/.f64 y (/.f64 t (expm1.f64 z))))
(/.f64 (neg.f64 y) (/.f64 t (expm1.f64 z)))
(*.f64 y (neg.f64 (/.f64 (expm1.f64 z) t)))
(*.f64 (expm1.f64 z) (/.f64 (neg.f64 y) t))
(+.f64 (*.f64 y (-.f64 (/.f64 1 t) (/.f64 (exp.f64 z) t))) x)
(-.f64 x (/.f64 (expm1.f64 z) (/.f64 t y)))
(-.f64 x (/.f64 y (/.f64 t (expm1.f64 z))))
(-.f64 x (*.f64 y (/.f64 (expm1.f64 z) t)))
(fma.f64 y (neg.f64 (/.f64 (expm1.f64 z) t)) x)
(-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t)))
(+.f64 (*.f64 y (-.f64 (/.f64 1 t) (/.f64 (exp.f64 z) t))) x)
(-.f64 x (/.f64 (expm1.f64 z) (/.f64 t y)))
(-.f64 x (/.f64 y (/.f64 t (expm1.f64 z))))
(-.f64 x (*.f64 y (/.f64 (expm1.f64 z) t)))
(fma.f64 y (neg.f64 (/.f64 (expm1.f64 z) t)) x)
(-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t)))
(+.f64 (*.f64 y (-.f64 (/.f64 1 t) (/.f64 (exp.f64 z) t))) x)
(-.f64 x (/.f64 (expm1.f64 z) (/.f64 t y)))
(-.f64 x (/.f64 y (/.f64 t (expm1.f64 z))))
(-.f64 x (*.f64 y (/.f64 (expm1.f64 z) t)))
(fma.f64 y (neg.f64 (/.f64 (expm1.f64 z) t)) x)
(-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t)))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(neg.f64 (/.f64 (expm1.f64 z) (/.f64 t y)))
(neg.f64 (/.f64 y (/.f64 t (expm1.f64 z))))
(/.f64 (neg.f64 y) (/.f64 t (expm1.f64 z)))
(*.f64 y (neg.f64 (/.f64 (expm1.f64 z) t)))
(*.f64 (expm1.f64 z) (/.f64 (neg.f64 y) t))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)) x)
(-.f64 x (/.f64 (expm1.f64 z) (/.f64 t y)))
(-.f64 x (/.f64 y (/.f64 t (expm1.f64 z))))
(-.f64 x (*.f64 y (/.f64 (expm1.f64 z) t)))
(fma.f64 y (neg.f64 (/.f64 (expm1.f64 z) t)) x)
(-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)) x)
(-.f64 x (/.f64 (expm1.f64 z) (/.f64 t y)))
(-.f64 x (/.f64 y (/.f64 t (expm1.f64 z))))
(-.f64 x (*.f64 y (/.f64 (expm1.f64 z) t)))
(fma.f64 y (neg.f64 (/.f64 (expm1.f64 z) t)) x)
(-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)) x)
(-.f64 x (/.f64 (expm1.f64 z) (/.f64 t y)))
(-.f64 x (/.f64 y (/.f64 t (expm1.f64 z))))
(-.f64 x (*.f64 y (/.f64 (expm1.f64 z) t)))
(fma.f64 y (neg.f64 (/.f64 (expm1.f64 z) t)) x)
(-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t)))

localize6.0ms (0%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓4.3b
(/.f64 y (/.f64 t z))
Compiler

Compiled 15 to 6 computations (60% saved)

series2.0ms (0%)

Counts
1 → 36
Calls

9 calls:

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

rewrite57.0ms (0.2%)

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

Useful iterations: 0 (0.0ms)

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

simplify13.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

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

localize10.0ms (0%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.2b
(-.f64 (/.f64 1 t) (/.f64 1 t))
Compiler

Compiled 26 to 18 computations (30.8% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite63.0ms (0.2%)

Algorithm
1×batch-egg-rewrite
Rules
444×pow1_binary64
433×add-sqr-sqrt_binary64
423×*-un-lft-identity_binary64
417×add-log-exp_binary64
416×log1p-expm1-u_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
051
11151
213141
Stop Event
1×node limit
Counts
1 → 1
Calls
Call 1
Inputs
(-.f64 (/.f64 1 t) (/.f64 1 t))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x . 0)))))

simplify7.0ms (0%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0112
Stop Event
1×saturated
Counts
13 → 1
Calls
Call 1
Inputs
0
0
0
0
0
0
0
0
0
0
0
0
Outputs
0
0
0
0
0
0
0
0
0
0
0
0

localize13.0ms (0%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓2.6b
(*.f64 y (/.f64 (neg.f64 (expm1.f64 z)) t))
Compiler

Compiled 24 to 8 computations (66.7% saved)

series4.0ms (0%)

Counts
1 → 36
Calls

9 calls:

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

rewrite57.0ms (0.2%)

Algorithm
1×batch-egg-rewrite
Rules
772×pow1_binary64
711×add-log-exp_binary64
710×log1p-expm1-u_binary64
710×expm1-log1p-u_binary64
694×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0811
11689
223429
Stop Event
1×node limit
Counts
1 → 21
Calls
Call 1
Inputs
(*.f64 y (/.f64 (neg.f64 (expm1.f64 z)) t))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 y (/.f64 t (expm1.f64 z)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 y (/.f64 t (expm1.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 t (*.f64 y (expm1.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (expm1.f64 z)) t)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (expm1.f64 z)) (neg.f64 t))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 y (expm1.f64 z)) 1) t)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 y (expm1.f64 z)) (pow.f64 (cbrt.f64 t) 2)) (cbrt.f64 t))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 y (expm1.f64 z)) (sqrt.f64 t)) (sqrt.f64 t))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 y (/.f64 t (expm1.f64 z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 y (/.f64 t (expm1.f64 z))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 y (/.f64 t (expm1.f64 z)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 y (/.f64 t (expm1.f64 z)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 y (/.f64 t (expm1.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 y (/.f64 t (expm1.f64 z))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 y) (/.f64 (expm1.f64 z) t)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 y (/.f64 t (expm1.f64 z))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 y 3) (pow.f64 (/.f64 (expm1.f64 z) t) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 (expm1.f64 z) t) 3) (pow.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 y (/.f64 t (expm1.f64 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 y (/.f64 t (expm1.f64 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 y (/.f64 t (expm1.f64 z)))))))))

simplify48.0ms (0.2%)

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

Useful iterations: 4 (0.0ms)

IterNodesCost
038469
1104466
2259466
3759446
43171430
Stop Event
1×node limit
Counts
57 → 31
Calls
Call 1
Inputs
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(*.f64 -1 (/.f64 (*.f64 y z) t))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) (*.f64 -1/2 (/.f64 (*.f64 y (pow.f64 z 2)) t)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 y (pow.f64 z 2)) t)) (*.f64 -1/6 (/.f64 (*.f64 y (pow.f64 z 3)) t))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 y (pow.f64 z 2)) t)) (+.f64 (*.f64 -1/24 (/.f64 (*.f64 y (pow.f64 z 4)) t)) (*.f64 -1/6 (/.f64 (*.f64 y (pow.f64 z 3)) t)))))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
Outputs
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(neg.f64 (/.f64 (*.f64 (expm1.f64 z) y) t))
(/.f64 (neg.f64 (*.f64 (expm1.f64 z) y)) t)
(*.f64 (/.f64 (expm1.f64 z) t) (neg.f64 y))
(*.f64 (neg.f64 y) (/.f64 (expm1.f64 z) t))
(*.f64 (/.f64 y t) (neg.f64 (expm1.f64 z)))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(neg.f64 (/.f64 (*.f64 (expm1.f64 z) y) t))
(/.f64 (neg.f64 (*.f64 (expm1.f64 z) y)) t)
(*.f64 (/.f64 (expm1.f64 z) t) (neg.f64 y))
(*.f64 (neg.f64 y) (/.f64 (expm1.f64 z) t))
(*.f64 (/.f64 y t) (neg.f64 (expm1.f64 z)))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(neg.f64 (/.f64 (*.f64 (expm1.f64 z) y) t))
(/.f64 (neg.f64 (*.f64 (expm1.f64 z) y)) t)
(*.f64 (/.f64 (expm1.f64 z) t) (neg.f64 y))
(*.f64 (neg.f64 y) (/.f64 (expm1.f64 z) t))
(*.f64 (/.f64 y t) (neg.f64 (expm1.f64 z)))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(neg.f64 (/.f64 (*.f64 (expm1.f64 z) y) t))
(/.f64 (neg.f64 (*.f64 (expm1.f64 z) y)) t)
(*.f64 (/.f64 (expm1.f64 z) t) (neg.f64 y))
(*.f64 (neg.f64 y) (/.f64 (expm1.f64 z) t))
(*.f64 (/.f64 y t) (neg.f64 (expm1.f64 z)))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(neg.f64 (/.f64 (*.f64 (expm1.f64 z) y) t))
(/.f64 (neg.f64 (*.f64 (expm1.f64 z) y)) t)
(*.f64 (/.f64 (expm1.f64 z) t) (neg.f64 y))
(*.f64 (neg.f64 y) (/.f64 (expm1.f64 z) t))
(*.f64 (/.f64 y t) (neg.f64 (expm1.f64 z)))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(neg.f64 (/.f64 (*.f64 (expm1.f64 z) y) t))
(/.f64 (neg.f64 (*.f64 (expm1.f64 z) y)) t)
(*.f64 (/.f64 (expm1.f64 z) t) (neg.f64 y))
(*.f64 (neg.f64 y) (/.f64 (expm1.f64 z) t))
(*.f64 (/.f64 y t) (neg.f64 (expm1.f64 z)))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(neg.f64 (/.f64 (*.f64 (expm1.f64 z) y) t))
(/.f64 (neg.f64 (*.f64 (expm1.f64 z) y)) t)
(*.f64 (/.f64 (expm1.f64 z) t) (neg.f64 y))
(*.f64 (neg.f64 y) (/.f64 (expm1.f64 z) t))
(*.f64 (/.f64 y t) (neg.f64 (expm1.f64 z)))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(neg.f64 (/.f64 (*.f64 (expm1.f64 z) y) t))
(/.f64 (neg.f64 (*.f64 (expm1.f64 z) y)) t)
(*.f64 (/.f64 (expm1.f64 z) t) (neg.f64 y))
(*.f64 (neg.f64 y) (/.f64 (expm1.f64 z) t))
(*.f64 (/.f64 y t) (neg.f64 (expm1.f64 z)))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(neg.f64 (/.f64 (*.f64 (expm1.f64 z) y) t))
(/.f64 (neg.f64 (*.f64 (expm1.f64 z) y)) t)
(*.f64 (/.f64 (expm1.f64 z) t) (neg.f64 y))
(*.f64 (neg.f64 y) (/.f64 (expm1.f64 z) t))
(*.f64 (/.f64 y t) (neg.f64 (expm1.f64 z)))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(neg.f64 (/.f64 (*.f64 (expm1.f64 z) y) t))
(/.f64 (neg.f64 (*.f64 (expm1.f64 z) y)) t)
(*.f64 (/.f64 (expm1.f64 z) t) (neg.f64 y))
(*.f64 (neg.f64 y) (/.f64 (expm1.f64 z) t))
(*.f64 (/.f64 y t) (neg.f64 (expm1.f64 z)))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(neg.f64 (/.f64 (*.f64 (expm1.f64 z) y) t))
(/.f64 (neg.f64 (*.f64 (expm1.f64 z) y)) t)
(*.f64 (/.f64 (expm1.f64 z) t) (neg.f64 y))
(*.f64 (neg.f64 y) (/.f64 (expm1.f64 z) t))
(*.f64 (/.f64 y t) (neg.f64 (expm1.f64 z)))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(neg.f64 (/.f64 (*.f64 (expm1.f64 z) y) t))
(/.f64 (neg.f64 (*.f64 (expm1.f64 z) y)) t)
(*.f64 (/.f64 (expm1.f64 z) t) (neg.f64 y))
(*.f64 (neg.f64 y) (/.f64 (expm1.f64 z) t))
(*.f64 (/.f64 y t) (neg.f64 (expm1.f64 z)))
(*.f64 -1 (/.f64 (*.f64 y z) t))
(neg.f64 (/.f64 y (/.f64 t z)))
(/.f64 (neg.f64 y) (/.f64 t z))
(*.f64 (/.f64 y t) (neg.f64 z))
(*.f64 y (neg.f64 (/.f64 z t)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) (*.f64 -1/2 (/.f64 (*.f64 y (pow.f64 z 2)) t)))
(fma.f64 -1 (/.f64 y (/.f64 t z)) (*.f64 -1/2 (/.f64 y (/.f64 t (*.f64 z z)))))
(-.f64 (*.f64 -1/2 (*.f64 (/.f64 y t) (*.f64 z z))) (*.f64 (/.f64 y t) z))
(-.f64 (*.f64 -1/2 (*.f64 (/.f64 (*.f64 z z) t) y)) (*.f64 z (/.f64 y t)))
(*.f64 (/.f64 y t) (-.f64 (*.f64 -1/2 (*.f64 z z)) z))
(*.f64 (*.f64 z (/.f64 y t)) (+.f64 (*.f64 z -1/2) -1))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 y (pow.f64 z 2)) t)) (*.f64 -1/6 (/.f64 (*.f64 y (pow.f64 z 3)) t))))
(fma.f64 -1 (/.f64 y (/.f64 t z)) (fma.f64 -1/2 (/.f64 y (/.f64 t (*.f64 z z))) (*.f64 -1/6 (/.f64 y (/.f64 t (pow.f64 z 3))))))
(-.f64 (fma.f64 -1/2 (*.f64 (/.f64 y t) (*.f64 z z)) (/.f64 (*.f64 y -1/6) (/.f64 t (pow.f64 z 3)))) (*.f64 (/.f64 y t) z))
(-.f64 (fma.f64 -1/2 (*.f64 (/.f64 (*.f64 z z) t) y) (*.f64 -1/6 (*.f64 (/.f64 (pow.f64 z 3) t) y))) (*.f64 z (/.f64 y t)))
(fma.f64 -1/6 (*.f64 y (/.f64 (pow.f64 z 3) t)) (*.f64 (/.f64 y t) (-.f64 (*.f64 -1/2 (*.f64 z z)) z)))
(*.f64 (/.f64 y t) (-.f64 (*.f64 (*.f64 z z) (+.f64 (*.f64 z -1/6) -1/2)) z))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 y (pow.f64 z 2)) t)) (+.f64 (*.f64 -1/24 (/.f64 (*.f64 y (pow.f64 z 4)) t)) (*.f64 -1/6 (/.f64 (*.f64 y (pow.f64 z 3)) t)))))
(fma.f64 -1 (/.f64 y (/.f64 t z)) (fma.f64 -1/2 (/.f64 y (/.f64 t (*.f64 z z))) (fma.f64 -1/24 (/.f64 (*.f64 y (pow.f64 z 4)) t) (*.f64 -1/6 (/.f64 y (/.f64 t (pow.f64 z 3)))))))
(-.f64 (fma.f64 -1/2 (*.f64 (/.f64 y t) (*.f64 z z)) (fma.f64 -1/24 (/.f64 (*.f64 y (pow.f64 z 4)) t) (/.f64 (*.f64 y -1/6) (/.f64 t (pow.f64 z 3))))) (*.f64 (/.f64 y t) z))
(-.f64 (fma.f64 -1/2 (*.f64 (/.f64 (*.f64 z z) t) y) (fma.f64 -1/6 (*.f64 (/.f64 (pow.f64 z 3) t) y) (*.f64 -1/24 (*.f64 (pow.f64 z 4) (/.f64 y t))))) (*.f64 z (/.f64 y t)))
(+.f64 (*.f64 (/.f64 y t) (-.f64 (*.f64 -1/2 (*.f64 z z)) z)) (*.f64 (/.f64 y t) (+.f64 (*.f64 -1/6 (pow.f64 z 3)) (*.f64 -1/24 (pow.f64 z 4)))))
(*.f64 (/.f64 y t) (-.f64 (*.f64 (pow.f64 z 3) (+.f64 -1/6 (*.f64 z -1/24))) (-.f64 z (*.f64 z (*.f64 z -1/2)))))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(neg.f64 (/.f64 (*.f64 (expm1.f64 z) y) t))
(/.f64 (neg.f64 (*.f64 (expm1.f64 z) y)) t)
(*.f64 (/.f64 (expm1.f64 z) t) (neg.f64 y))
(*.f64 (neg.f64 y) (/.f64 (expm1.f64 z) t))
(*.f64 (/.f64 y t) (neg.f64 (expm1.f64 z)))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(neg.f64 (/.f64 (*.f64 (expm1.f64 z) y) t))
(/.f64 (neg.f64 (*.f64 (expm1.f64 z) y)) t)
(*.f64 (/.f64 (expm1.f64 z) t) (neg.f64 y))
(*.f64 (neg.f64 y) (/.f64 (expm1.f64 z) t))
(*.f64 (/.f64 y t) (neg.f64 (expm1.f64 z)))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(neg.f64 (/.f64 (*.f64 (expm1.f64 z) y) t))
(/.f64 (neg.f64 (*.f64 (expm1.f64 z) y)) t)
(*.f64 (/.f64 (expm1.f64 z) t) (neg.f64 y))
(*.f64 (neg.f64 y) (/.f64 (expm1.f64 z) t))
(*.f64 (/.f64 y t) (neg.f64 (expm1.f64 z)))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(neg.f64 (/.f64 (*.f64 (expm1.f64 z) y) t))
(/.f64 (neg.f64 (*.f64 (expm1.f64 z) y)) t)
(*.f64 (/.f64 (expm1.f64 z) t) (neg.f64 y))
(*.f64 (neg.f64 y) (/.f64 (expm1.f64 z) t))
(*.f64 (/.f64 y t) (neg.f64 (expm1.f64 z)))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(neg.f64 (/.f64 (*.f64 (expm1.f64 z) y) t))
(/.f64 (neg.f64 (*.f64 (expm1.f64 z) y)) t)
(*.f64 (/.f64 (expm1.f64 z) t) (neg.f64 y))
(*.f64 (neg.f64 y) (/.f64 (expm1.f64 z) t))
(*.f64 (/.f64 y t) (neg.f64 (expm1.f64 z)))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(neg.f64 (/.f64 (*.f64 (expm1.f64 z) y) t))
(/.f64 (neg.f64 (*.f64 (expm1.f64 z) y)) t)
(*.f64 (/.f64 (expm1.f64 z) t) (neg.f64 y))
(*.f64 (neg.f64 y) (/.f64 (expm1.f64 z) t))
(*.f64 (/.f64 y t) (neg.f64 (expm1.f64 z)))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(neg.f64 (/.f64 (*.f64 (expm1.f64 z) y) t))
(/.f64 (neg.f64 (*.f64 (expm1.f64 z) y)) t)
(*.f64 (/.f64 (expm1.f64 z) t) (neg.f64 y))
(*.f64 (neg.f64 y) (/.f64 (expm1.f64 z) t))
(*.f64 (/.f64 y t) (neg.f64 (expm1.f64 z)))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(neg.f64 (/.f64 (*.f64 (expm1.f64 z) y) t))
(/.f64 (neg.f64 (*.f64 (expm1.f64 z) y)) t)
(*.f64 (/.f64 (expm1.f64 z) t) (neg.f64 y))
(*.f64 (neg.f64 y) (/.f64 (expm1.f64 z) t))
(*.f64 (/.f64 y t) (neg.f64 (expm1.f64 z)))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(neg.f64 (/.f64 (*.f64 (expm1.f64 z) y) t))
(/.f64 (neg.f64 (*.f64 (expm1.f64 z) y)) t)
(*.f64 (/.f64 (expm1.f64 z) t) (neg.f64 y))
(*.f64 (neg.f64 y) (/.f64 (expm1.f64 z) t))
(*.f64 (/.f64 y t) (neg.f64 (expm1.f64 z)))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(neg.f64 (/.f64 (*.f64 (expm1.f64 z) y) t))
(/.f64 (neg.f64 (*.f64 (expm1.f64 z) y)) t)
(*.f64 (/.f64 (expm1.f64 z) t) (neg.f64 y))
(*.f64 (neg.f64 y) (/.f64 (expm1.f64 z) t))
(*.f64 (/.f64 y t) (neg.f64 (expm1.f64 z)))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(neg.f64 (/.f64 (*.f64 (expm1.f64 z) y) t))
(/.f64 (neg.f64 (*.f64 (expm1.f64 z) y)) t)
(*.f64 (/.f64 (expm1.f64 z) t) (neg.f64 y))
(*.f64 (neg.f64 y) (/.f64 (expm1.f64 z) t))
(*.f64 (/.f64 y t) (neg.f64 (expm1.f64 z)))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(neg.f64 (/.f64 (*.f64 (expm1.f64 z) y) t))
(/.f64 (neg.f64 (*.f64 (expm1.f64 z) y)) t)
(*.f64 (/.f64 (expm1.f64 z) t) (neg.f64 y))
(*.f64 (neg.f64 y) (/.f64 (expm1.f64 z) t))
(*.f64 (/.f64 y t) (neg.f64 (expm1.f64 z)))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(neg.f64 (/.f64 (*.f64 (expm1.f64 z) y) t))
(/.f64 (neg.f64 (*.f64 (expm1.f64 z) y)) t)
(*.f64 (/.f64 (expm1.f64 z) t) (neg.f64 y))
(*.f64 (neg.f64 y) (/.f64 (expm1.f64 z) t))
(*.f64 (/.f64 y t) (neg.f64 (expm1.f64 z)))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(neg.f64 (/.f64 (*.f64 (expm1.f64 z) y) t))
(/.f64 (neg.f64 (*.f64 (expm1.f64 z) y)) t)
(*.f64 (/.f64 (expm1.f64 z) t) (neg.f64 y))
(*.f64 (neg.f64 y) (/.f64 (expm1.f64 z) t))
(*.f64 (/.f64 y t) (neg.f64 (expm1.f64 z)))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(neg.f64 (/.f64 (*.f64 (expm1.f64 z) y) t))
(/.f64 (neg.f64 (*.f64 (expm1.f64 z) y)) t)
(*.f64 (/.f64 (expm1.f64 z) t) (neg.f64 y))
(*.f64 (neg.f64 y) (/.f64 (expm1.f64 z) t))
(*.f64 (/.f64 y t) (neg.f64 (expm1.f64 z)))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(neg.f64 (/.f64 (*.f64 (expm1.f64 z) y) t))
(/.f64 (neg.f64 (*.f64 (expm1.f64 z) y)) t)
(*.f64 (/.f64 (expm1.f64 z) t) (neg.f64 y))
(*.f64 (neg.f64 y) (/.f64 (expm1.f64 z) t))
(*.f64 (/.f64 y t) (neg.f64 (expm1.f64 z)))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(neg.f64 (/.f64 (*.f64 (expm1.f64 z) y) t))
(/.f64 (neg.f64 (*.f64 (expm1.f64 z) y)) t)
(*.f64 (/.f64 (expm1.f64 z) t) (neg.f64 y))
(*.f64 (neg.f64 y) (/.f64 (expm1.f64 z) t))
(*.f64 (/.f64 y t) (neg.f64 (expm1.f64 z)))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(neg.f64 (/.f64 (*.f64 (expm1.f64 z) y) t))
(/.f64 (neg.f64 (*.f64 (expm1.f64 z) y)) t)
(*.f64 (/.f64 (expm1.f64 z) t) (neg.f64 y))
(*.f64 (neg.f64 y) (/.f64 (expm1.f64 z) t))
(*.f64 (/.f64 y t) (neg.f64 (expm1.f64 z)))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(neg.f64 (/.f64 (*.f64 (expm1.f64 z) y) t))
(/.f64 (neg.f64 (*.f64 (expm1.f64 z) y)) t)
(*.f64 (/.f64 (expm1.f64 z) t) (neg.f64 y))
(*.f64 (neg.f64 y) (/.f64 (expm1.f64 z) t))
(*.f64 (/.f64 y t) (neg.f64 (expm1.f64 z)))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(neg.f64 (/.f64 (*.f64 (expm1.f64 z) y) t))
(/.f64 (neg.f64 (*.f64 (expm1.f64 z) y)) t)
(*.f64 (/.f64 (expm1.f64 z) t) (neg.f64 y))
(*.f64 (neg.f64 y) (/.f64 (expm1.f64 z) t))
(*.f64 (/.f64 y t) (neg.f64 (expm1.f64 z)))

localize27.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(*.f64 (-.f64 (exp.f64 z) 1) y)
✓0.0b
(/.f64 t (*.f64 (-.f64 (exp.f64 z) 1) y))
✓0.1b
(/.f64 1 (+.f64 (/.f64 t (*.f64 (-.f64 (exp.f64 z) 1) y)) (*.f64 1/2 t)))
3.6b
(-.f64 (exp.f64 z) 1)
Compiler

Compiled 75 to 44 computations (41.3% saved)

series14.0ms (0.1%)

Counts
2 → 32
Calls

18 calls:

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

rewrite89.0ms (0.3%)

Algorithm
1×batch-egg-rewrite
Rules
698×log-prod_binary64
434×fma-def_binary64
358×pow2_binary64
248×pow1/3_binary64
246×log1p-udef_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01327
128225
2391325
Stop Event
1×node limit
Counts
2 → 71
Calls
Call 1
Inputs
(/.f64 1 (+.f64 (/.f64 t (*.f64 (-.f64 (exp.f64 z) 1) y)) (*.f64 1/2 t)))
(/.f64 t (*.f64 (-.f64 (exp.f64 z) 1) y))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 1 (fma.f64 t 1/2 (/.f64 t (*.f64 (expm1.f64 z) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 1 (fma.f64 t 1/2 (/.f64 t (*.f64 (expm1.f64 z) y)))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (fma.f64 t 1/2 (/.f64 t (*.f64 (expm1.f64 z) y))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (fma.f64 t 1/2 (/.f64 t (*.f64 (expm1.f64 z) y))))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (fma.f64 t 1/2 (/.f64 t (*.f64 (expm1.f64 z) y))))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (fma.f64 t 1/2 (/.f64 t (*.f64 (expm1.f64 z) y)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (fma.f64 t 1/2 (/.f64 t (*.f64 (expm1.f64 z) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 t 1/2 (/.f64 t (*.f64 (expm1.f64 z) y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1 (fma.f64 t 1/2 (/.f64 t (*.f64 (expm1.f64 z) y))))) (cbrt.f64 (pow.f64 (fma.f64 t 1/2 (/.f64 t (*.f64 (expm1.f64 z) y))) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (fma.f64 t 1/2 (/.f64 t (*.f64 (expm1.f64 z) y))) -2)) (cbrt.f64 (/.f64 1 (fma.f64 t 1/2 (/.f64 t (*.f64 (expm1.f64 z) y))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 t 1/2 (/.f64 t (*.f64 (expm1.f64 z) y))) -1/2) (pow.f64 (fma.f64 t 1/2 (/.f64 t (*.f64 (expm1.f64 z) y))) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (neg.f64 (fma.f64 t 1/2 (/.f64 t (*.f64 (expm1.f64 z) y))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 (pow.f64 t 3) 1/8 (pow.f64 (/.f64 t (*.f64 (expm1.f64 z) y)) 3))) (fma.f64 (*.f64 t 1/2) (-.f64 (*.f64 t 1/2) (/.f64 t (*.f64 (expm1.f64 z) y))) (pow.f64 (/.f64 t (*.f64 (expm1.f64 z) y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 (pow.f64 (/.f64 t (*.f64 (expm1.f64 z) y)) 2) (*.f64 (*.f64 t t) 1/4))) (+.f64 (/.f64 t (*.f64 (expm1.f64 z) y)) (*.f64 -1/2 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 t 1/2 (/.f64 t (*.f64 (expm1.f64 z) y)))) 2)) (cbrt.f64 (/.f64 1 (fma.f64 t 1/2 (/.f64 t (*.f64 (expm1.f64 z) y))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 t 1/2 (/.f64 t (*.f64 (expm1.f64 z) y))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (fma.f64 t 1/2 (/.f64 t (*.f64 (expm1.f64 z) y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1 (fma.f64 t 1/2 (/.f64 t (*.f64 (expm1.f64 z) y)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 1 (fma.f64 t 1/2 (/.f64 t (*.f64 (expm1.f64 z) y))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 t 1/2 (/.f64 t (*.f64 (expm1.f64 z) y))) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (neg.f64 (neg.f64 (fma.f64 t 1/2 (/.f64 t (*.f64 (expm1.f64 z) y))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 t 1/2 (/.f64 t (*.f64 (expm1.f64 z) y))) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (fma.f64 t 1/2 (/.f64 t (*.f64 (expm1.f64 z) y))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (fma.f64 t 1/2 (/.f64 t (*.f64 (expm1.f64 z) y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1 (fma.f64 t 1/2 (/.f64 t (*.f64 (expm1.f64 z) y)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (fma.f64 t 1/2 (/.f64 t (*.f64 (expm1.f64 z) y))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (fma.f64 t 1/2 (/.f64 t (*.f64 (expm1.f64 z) y))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (fma.f64 t 1/2 (/.f64 t (*.f64 (expm1.f64 z) y))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 t 1/2 (/.f64 t (*.f64 (expm1.f64 z) y)))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log.f64 (fma.f64 t 1/2 (/.f64 t (*.f64 (expm1.f64 z) y))))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 t (*.f64 (expm1.f64 z) y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 t (*.f64 (expm1.f64 z) y)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 t (*.f64 (expm1.f64 z) y))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 t (*.f64 (expm1.f64 z) y))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 t (*.f64 (expm1.f64 z) y))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 t (*.f64 (expm1.f64 z) y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 t (*.f64 (expm1.f64 z) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 t (/.f64 (/.f64 1 y) (expm1.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 t (*.f64 (expm1.f64 z) y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 t (*.f64 (expm1.f64 z) y))) (pow.f64 (cbrt.f64 (/.f64 t (*.f64 (expm1.f64 z) y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 t (*.f64 (expm1.f64 z) y))) 2) (cbrt.f64 (/.f64 t (*.f64 (expm1.f64 z) y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 t) 2) (*.f64 (cbrt.f64 t) (/.f64 (/.f64 1 y) (expm1.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 t (*.f64 (expm1.f64 z) y))) (sqrt.f64 (/.f64 t (*.f64 (expm1.f64 z) y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 t) (*.f64 (sqrt.f64 t) (/.f64 (/.f64 1 y) (expm1.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 t) (/.f64 1 (*.f64 (expm1.f64 z) (neg.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 y) (expm1.f64 z)) t)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 t (expm1.f64 z)) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 t) 2) 1) (/.f64 (cbrt.f64 t) (*.f64 (expm1.f64 z) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 t) 1) (/.f64 (sqrt.f64 t) (*.f64 (expm1.f64 z) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 t) (expm1.f64 z)) (/.f64 (sqrt.f64 t) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (expm1.f64 z)) (/.f64 t y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 t) 2) (expm1.f64 z)) (/.f64 (cbrt.f64 t) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 t) y) (/.f64 (sqrt.f64 t) (expm1.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 y) (/.f64 t (expm1.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 t) 2) y) (/.f64 (cbrt.f64 t) (expm1.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 (expm1.f64 z) y)) 2)) (/.f64 t (cbrt.f64 (*.f64 (expm1.f64 z) y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 t) 2) (pow.f64 (cbrt.f64 (*.f64 (expm1.f64 z) y)) 2)) (cbrt.f64 (/.f64 t (*.f64 (expm1.f64 z) y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 t) (pow.f64 (cbrt.f64 (*.f64 (expm1.f64 z) y)) 2)) (/.f64 (sqrt.f64 t) (cbrt.f64 (*.f64 (expm1.f64 z) y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (*.f64 (expm1.f64 z) y))) (/.f64 t (sqrt.f64 (*.f64 (expm1.f64 z) y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 t) 2) (sqrt.f64 (*.f64 (expm1.f64 z) y))) (/.f64 (cbrt.f64 t) (sqrt.f64 (*.f64 (expm1.f64 z) y))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 t (*.f64 (expm1.f64 z) y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 t (*.f64 (expm1.f64 z) y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 t (*.f64 (expm1.f64 z) y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 t (*.f64 (expm1.f64 z) y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (expm1.f64 z) (/.f64 t y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (expm1.f64 z) (/.f64 t y)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 t (*.f64 (expm1.f64 z) (neg.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 t (*.f64 (expm1.f64 z) y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 t (*.f64 (expm1.f64 z) y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 t (*.f64 (expm1.f64 z) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 t (*.f64 (expm1.f64 z) y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 t (*.f64 (expm1.f64 z) y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 t (*.f64 (expm1.f64 z) y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 t (*.f64 (expm1.f64 z) y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 t (*.f64 (expm1.f64 z) y))) 1))))))

simplify52.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
655×associate-/r*_binary64
623×fma-def_binary64
603×associate-/l*_binary64
441×distribute-rgt-in_binary64
429×distribute-lft-in_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01351097
14711046
21969999
Stop Event
1×node limit
Counts
103 → 104
Calls
Call 1
Inputs
(/.f64 1 (*.f64 (+.f64 1/2 (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t))
(/.f64 1 (*.f64 (+.f64 1/2 (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t))
(/.f64 1 (*.f64 (+.f64 1/2 (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t))
(/.f64 1 (*.f64 (+.f64 1/2 (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t))
(/.f64 1 (*.f64 (+.f64 1/2 (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t))
(/.f64 1 (*.f64 (+.f64 1/2 (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t))
(/.f64 1 (*.f64 (+.f64 1/2 (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t))
(/.f64 1 (*.f64 (+.f64 1/2 (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t))
(/.f64 1 (*.f64 (+.f64 1/2 (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t))
(/.f64 1 (*.f64 (+.f64 1/2 (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t))
(/.f64 1 (*.f64 (+.f64 1/2 (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t))
(/.f64 1 (*.f64 (+.f64 1/2 (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t))
(/.f64 (*.f64 y z) t)
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 1/2 t) (*.f64 1/2 (/.f64 t y))) (*.f64 (pow.f64 y 2) (pow.f64 z 2))) (pow.f64 t 2))) (/.f64 (*.f64 y z) t))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 y 2) (+.f64 (*.f64 -1/4 (/.f64 t y)) (*.f64 1/6 (/.f64 t y)))) (pow.f64 t 2))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (-.f64 (*.f64 1/2 t) (*.f64 1/2 (/.f64 t y))) 2) (pow.f64 y 3)) (pow.f64 t 3)))) (pow.f64 z 3))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 1/2 t) (*.f64 1/2 (/.f64 t y))) (*.f64 (pow.f64 y 2) (pow.f64 z 2))) (pow.f64 t 2))) (/.f64 (*.f64 y z) t)))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 y 2) (+.f64 (*.f64 -1/4 (/.f64 t y)) (*.f64 1/6 (/.f64 t y)))) (pow.f64 t 2))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (-.f64 (*.f64 1/2 t) (*.f64 1/2 (/.f64 t y))) 2) (pow.f64 y 3)) (pow.f64 t 3)))) (pow.f64 z 3))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 1/2 t) (*.f64 1/2 (/.f64 t y))) (*.f64 (pow.f64 y 2) (pow.f64 z 2))) (pow.f64 t 2))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 (*.f64 (-.f64 (*.f64 1/2 t) (*.f64 1/2 (/.f64 t y))) (*.f64 (+.f64 (*.f64 -1/4 (/.f64 t y)) (*.f64 1/6 (/.f64 t y))) (pow.f64 y 3))) (pow.f64 t 3)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 y 2) (+.f64 (*.f64 1/24 (/.f64 t y)) (+.f64 (*.f64 -1/2 (+.f64 (*.f64 -1/4 (/.f64 t y)) (*.f64 1/6 (/.f64 t y)))) (*.f64 -1/12 (/.f64 t y))))) (pow.f64 t 2))) (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 1/2 t) (*.f64 1/2 (/.f64 t y))) (*.f64 y (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 -1/4 (/.f64 t y)) (*.f64 1/6 (/.f64 t y))) (pow.f64 y 2)) (pow.f64 t 2))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (-.f64 (*.f64 1/2 t) (*.f64 1/2 (/.f64 t y))) 2) (pow.f64 y 3)) (pow.f64 t 3)))))) t)))) (pow.f64 z 4))) (/.f64 (*.f64 y z) 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 1/4 (/.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) 3) (pow.f64 y 3)) t)) (+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 4) (pow.f64 y 4)) 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 2 t)
(-.f64 (*.f64 2 (/.f64 1 t)) (*.f64 4 (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) (*.f64 y t)))))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 t)) (*.f64 8 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (*.f64 (pow.f64 y 2) t))))) (*.f64 4 (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) (*.f64 y t)))))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 t)) (*.f64 8 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (*.f64 (pow.f64 y 2) t))))) (+.f64 (*.f64 16 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 3) (*.f64 (pow.f64 y 3) t)))) (*.f64 4 (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) (*.f64 y t))))))
(/.f64 2 t)
(-.f64 (*.f64 2 (/.f64 1 t)) (*.f64 4 (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) (*.f64 y t)))))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 t)) (*.f64 8 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (*.f64 (pow.f64 y 2) t))))) (*.f64 4 (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) (*.f64 y t)))))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 t)) (*.f64 8 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (*.f64 (pow.f64 y 2) t))))) (+.f64 (*.f64 16 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 3) (*.f64 (pow.f64 y 3) t)))) (*.f64 4 (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) (*.f64 y t))))))
(/.f64 t (*.f64 y z))
(+.f64 (*.f64 -1/2 (/.f64 t y)) (/.f64 t (*.f64 y z)))
(+.f64 (*.f64 -1/2 (/.f64 t y)) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/4 (/.f64 t y)) (*.f64 1/6 (/.f64 t y))) z)) (/.f64 t (*.f64 y z))))
(+.f64 (*.f64 -1/2 (/.f64 t y)) (+.f64 (*.f64 -1 (*.f64 (pow.f64 z 2) (+.f64 (*.f64 1/24 (/.f64 t y)) (+.f64 (*.f64 -1/12 (/.f64 t y)) (*.f64 -1/2 (+.f64 (*.f64 -1/4 (/.f64 t y)) (*.f64 1/6 (/.f64 t y)))))))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/4 (/.f64 t y)) (*.f64 1/6 (/.f64 t y))) z)) (/.f64 t (*.f64 y z)))))
Outputs
(/.f64 1 (*.f64 (+.f64 1/2 (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t))
(/.f64 1 (*.f64 (+.f64 1/2 (/.f64 1 (*.f64 (expm1.f64 z) y))) t))
(/.f64 1 (*.f64 (+.f64 1/2 (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t))
(/.f64 1 (*.f64 (+.f64 1/2 (/.f64 1 (*.f64 (expm1.f64 z) y))) t))
(/.f64 1 (*.f64 (+.f64 1/2 (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t))
(/.f64 1 (*.f64 (+.f64 1/2 (/.f64 1 (*.f64 (expm1.f64 z) y))) t))
(/.f64 1 (*.f64 (+.f64 1/2 (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t))
(/.f64 1 (*.f64 (+.f64 1/2 (/.f64 1 (*.f64 (expm1.f64 z) y))) t))
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(-.f64 (+.f64 (/.f64 t (*.f64 z y)) (*.f64 (/.f64 t y) (-.f64 -1/2 (*.f64 z -1/12)))) (*.f64 z (*.f64 z (*.f64 (/.f64 t y) 0))))

eval217.0ms (0.8%)

Compiler

Compiled 12972 to 4823 computations (62.8% saved)

prune143.0ms (0.6%)

Pruning

32 alts after pruning (24 fresh and 8 done)

PrunedKeptTotal
New52912541
Fresh81220
Picked101
Done3811
Total54132573
Error
0.2b
Counts
573 → 32
Alt Table
Click to see full alt table
StatusErrorProgram
✓21.5b
(-.f64 x (*.f64 (/.f64 1 t) (*.f64 z y)))
24.2b
(-.f64 x (*.f64 (/.f64 y t) (-.f64 z (*.f64 z (*.f64 z -1/2)))))
✓48.6b
(*.f64 y (/.f64 (neg.f64 (expm1.f64 z)) t))
21.2b
(-.f64 x (/.f64 1 (/.f64 t (*.f64 z y))))
21.2b
(-.f64 x (/.f64 z (/.f64 t y)))
23.1b
(-.f64 x (/.f64 (exp.f64 (log.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) t))
8.3b
(-.f64 x (/.f64 1 (+.f64 (/.f64 t (*.f64 (expm1.f64 z) y)) (*.f64 1/2 t))))
33.5b
(-.f64 x (/.f64 2 t))
8.5b
(-.f64 x (pow.f64 (cbrt.f64 (/.f64 1 (fma.f64 t 1/2 (/.f64 t (*.f64 (expm1.f64 z) y))))) 3))
55.6b
(*.f64 z (/.f64 (neg.f64 y) t))
✓25.6b
(-.f64 x (/.f64 (*.f64 (+.f64 z (*.f64 (*.f64 z z) (+.f64 1/2 (*.f64 z (+.f64 1/6 (*.f64 z 1/24)))))) y) t))
62.0b
(*.f64 y 0)
55.1b
(/.f64 (*.f64 y z) (neg.f64 t))
✓2.2b
(-.f64 x (/.f64 1 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z))))))
20.4b
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (+.f64 z (*.f64 1/2 (*.f64 z z))))) t))
49.7b
(/.f64 (*.f64 y (expm1.f64 z)) (neg.f64 t))
19.9b
(-.f64 x (/.f64 y (/.f64 t z)))
16.4b
(-.f64 x (/.f64 1 (+.f64 (+.f64 (/.f64 t (*.f64 z y)) (*.f64 (/.f64 t y) (-.f64 -1/2 (*.f64 z -1/12)))) (*.f64 1/2 t))))
✓2.5b
(-.f64 x (*.f64 (/.f64 1 t) (log1p.f64 (*.f64 y (expm1.f64 z)))))
✓2.2b
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))
55.3b
(-.f64 x (/.f64 (+.f64 (log.f64 (expm1.f64 z)) (log.f64 y)) t))
54.2b
(*.f64 y (-.f64 (*.f64 -1/2 (/.f64 z (/.f64 t z))) (/.f64 z t)))
55.6b
(*.f64 (/.f64 y t) (-.f64 (*.f64 (*.f64 z z) (+.f64 (*.f64 z -1/6) -1/2)) z))
20.4b
(-.f64 x (/.f64 1 (/.f64 t (log1p.f64 (*.f64 y (+.f64 z (*.f64 1/2 (*.f64 z z))))))))
25.7b
(-.f64 x (/.f64 1 (fma.f64 -1/2 (*.f64 (/.f64 t (*.f64 y y)) (-.f64 y (*.f64 y y))) (/.f64 t (*.f64 z y)))))
16.4b
(-.f64 x (/.f64 1 (+.f64 (/.f64 t (*.f64 z y)) (*.f64 1/2 t))))
22.1b
x
✓9.9b
(-.f64 x (*.f64 y (/.f64 (expm1.f64 z) t)))
15.7b
(-.f64 x (/.f64 1 (+.f64 (+.f64 (*.f64 -1/2 (/.f64 t y)) (/.f64 t (*.f64 y z))) (*.f64 1/2 t))))
✓54.1b
(*.f64 y (/.f64 (neg.f64 z) t))
11.6b
(-.f64 x (*.f64 (/.f64 1 t) (/.f64 (expm1.f64 z) (/.f64 1 y))))
55.7b
(*.f64 (*.f64 z (/.f64 y t)) (+.f64 (*.f64 z -1/2) -1))
Compiler

Compiled 483 to 337 computations (30.2% saved)

regimes628.0ms (2.5%)

Counts
59 → 3
Calls
Call 1
Inputs
x
x
(*.f64 y 0)
(-.f64 x (/.f64 2 t))
(/.f64 (*.f64 y z) t)
(/.f64 y (/.f64 t z))
(/.f64 (*.f64 y z) (neg.f64 t))
(*.f64 z (/.f64 (neg.f64 y) t))
(*.f64 y (/.f64 (neg.f64 z) t))
(-.f64 x (/.f64 z (/.f64 t y)))
(-.f64 x (/.f64 y (/.f64 t z)))
(-.f64 x (/.f64 z (/.f64 t y)))
(-.f64 x (/.f64 (*.f64 z y) t))
(-.f64 x (/.f64 y (/.f64 t z)))
(-.f64 x (/.f64 z (/.f64 t y)))
(-.f64 x (*.f64 z (/.f64 y t)))
(-.f64 x (/.f64 (*.f64 z y) t))
(*.f64 y (-.f64 (/.f64 1 t) (/.f64 1 t)))
(-.f64 x (*.f64 (/.f64 1 t) (*.f64 z y)))
(-.f64 x (/.f64 1 (/.f64 t (*.f64 z y))))
(*.f64 (*.f64 z (/.f64 y t)) (+.f64 (*.f64 z -1/2) -1))
(-.f64 x (/.f64 1 (+.f64 (/.f64 t (*.f64 z y)) (*.f64 1/2 t))))
(*.f64 y (-.f64 (*.f64 -1/2 (/.f64 z (/.f64 t z))) (/.f64 z t)))
(-.f64 x (*.f64 (/.f64 y t) (-.f64 z (*.f64 z (*.f64 z -1/2)))))
(*.f64 (/.f64 y t) (-.f64 (*.f64 (*.f64 z z) (+.f64 (*.f64 z -1/6) -1/2)) z))
(*.f64 (/.f64 y t) (-.f64 (*.f64 (*.f64 z z) (+.f64 (*.f64 z -1/6) -1/2)) z))
(-.f64 x (*.f64 (/.f64 y t) (-.f64 z (*.f64 (*.f64 z z) (+.f64 -1/2 (*.f64 z -1/6))))))
(-.f64 x (/.f64 1 (+.f64 (+.f64 (*.f64 -1/2 (/.f64 t y)) (/.f64 t (*.f64 y z))) (*.f64 1/2 t))))
(-.f64 x (/.f64 (*.f64 (+.f64 z (*.f64 (*.f64 z z) (+.f64 1/2 (*.f64 z (+.f64 1/6 (*.f64 z 1/24)))))) y) t))
(-.f64 x (/.f64 1 (+.f64 (+.f64 (/.f64 t (*.f64 z y)) (*.f64 (/.f64 t y) (-.f64 -1/2 (*.f64 z -1/12)))) (*.f64 1/2 t))))
(*.f64 y (-.f64 (*.f64 (*.f64 z z) (+.f64 (*.f64 z (+.f64 (/.f64 -1/6 t) (/.f64 -1/24 (/.f64 t z)))) (/.f64 -1/2 t))) (/.f64 z t)))
(/.f64 (*.f64 y (expm1.f64 z)) (neg.f64 t))
(*.f64 (neg.f64 (expm1.f64 z)) (/.f64 y t))
(*.f64 y (/.f64 (neg.f64 (expm1.f64 z)) t))
(*.f64 (expm1.f64 z) (/.f64 (neg.f64 y) t))
(fma.f64 (*.f64 (/.f64 -1 t) z) y x)
(-.f64 x (/.f64 (expm1.f64 z) (/.f64 t y)))
(-.f64 x (*.f64 y (/.f64 (expm1.f64 z) t)))
(-.f64 x (/.f64 (*.f64 (expm1.f64 z) y) t))
(*.f64 y (-.f64 (/.f64 1 t) (/.f64 (exp.f64 z) t)))
(-.f64 x (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(-.f64 x (/.f64 (*.f64 1/24 (*.f64 y (pow.f64 z 4))) t))
(-.f64 x (*.f64 (/.f64 1 t) (/.f64 (expm1.f64 z) (/.f64 1 y))))
(*.f64 y (/.f64 (-.f64 t (*.f64 t (exp.f64 z))) (*.f64 t t)))
(-.f64 x (/.f64 1 (+.f64 (/.f64 t (*.f64 (expm1.f64 z) y)) (*.f64 1/2 t))))
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (+.f64 z (*.f64 1/2 (*.f64 z z))))) t))
(-.f64 x (/.f64 1 (+.f64 (/.f64 t (*.f64 (-.f64 (exp.f64 z) 1) y)) (*.f64 1/2 t))))
(-.f64 x (/.f64 1 (/.f64 t (log1p.f64 (*.f64 y (+.f64 z (*.f64 1/2 (*.f64 z z))))))))
(-.f64 x (*.f64 (/.f64 1 t) (log1p.f64 (*.f64 y (+.f64 z (*.f64 1/2 (*.f64 z z)))))))
(-.f64 x (/.f64 1 (fma.f64 -1/2 (*.f64 (/.f64 t (*.f64 y y)) (-.f64 y (*.f64 y y))) (/.f64 t (*.f64 z y)))))
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))
(-.f64 x (/.f64 1 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z))))))
(-.f64 x (*.f64 (/.f64 1 t) (log1p.f64 (*.f64 y (expm1.f64 z)))))
(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 1 y) (*.f64 y (exp.f64 z)))) t))
(-.f64 x (pow.f64 (+.f64 (/.f64 t (*.f64 (-.f64 (exp.f64 z) 1) y)) (*.f64 1/2 t)) -1))
(-.f64 x (/.f64 (+.f64 (log.f64 (expm1.f64 z)) (log.f64 y)) t))
(-.f64 x (pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) -1))
(-.f64 x (/.f64 (exp.f64 (log.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) t))
(-.f64 x (pow.f64 (cbrt.f64 (/.f64 1 (fma.f64 t 1/2 (/.f64 t (*.f64 (expm1.f64 z) y))))) 3))
Outputs
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))
(-.f64 x (*.f64 y (/.f64 (expm1.f64 z) t)))
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))
Calls

13 calls:

250.0ms
y
125.0ms
t
67.0ms
(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 1 y) (*.f64 y (exp.f64 z)))) t))
51.0ms
x
27.0ms
z
Results
ErrorSegmentsBranch
2.2b1x
0.3b3y
2.2b1z
0.7b3t
0.8b3(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 1 y) (*.f64 y (exp.f64 z)))) t))
0.3b3(/.f64 (log.f64 (+.f64 (-.f64 1 y) (*.f64 y (exp.f64 z)))) t)
0.3b3(/.f64 (log.f64 (+.f64 (-.f64 1 y) (*.f64 y (exp.f64 z)))) t)
0.3b3(log.f64 (+.f64 (-.f64 1 y) (*.f64 y (exp.f64 z))))
0.3b3(log.f64 (+.f64 (-.f64 1 y) (*.f64 y (exp.f64 z))))
0.3b3(+.f64 (-.f64 1 y) (*.f64 y (exp.f64 z)))
0.3b3(+.f64 (-.f64 1 y) (*.f64 y (exp.f64 z)))
2.2b1(exp.f64 z)
2.2b1(exp.f64 z)
Compiler

Compiled 760 to 384 computations (49.5% saved)

bsearch352.0ms (1.4%)

Algorithm
2×binary-search
Steps
TimeLeftRight
122.0ms
7.647719248273216e-113
1.1828963615973852e-103
229.0ms
-7.017489851709385e-155
-4.933989699930494e-164
Compiler

Compiled 24 to 18 computations (25% saved)

regimes348.0ms (1.4%)

Counts
50 → 3
Calls
Call 1
Inputs
x
x
(*.f64 y 0)
(-.f64 x (/.f64 2 t))
(/.f64 (*.f64 y z) t)
(/.f64 y (/.f64 t z))
(/.f64 (*.f64 y z) (neg.f64 t))
(*.f64 z (/.f64 (neg.f64 y) t))
(*.f64 y (/.f64 (neg.f64 z) t))
(-.f64 x (/.f64 z (/.f64 t y)))
(-.f64 x (/.f64 y (/.f64 t z)))
(-.f64 x (/.f64 z (/.f64 t y)))
(-.f64 x (/.f64 (*.f64 z y) t))
(-.f64 x (/.f64 y (/.f64 t z)))
(-.f64 x (/.f64 z (/.f64 t y)))
(-.f64 x (*.f64 z (/.f64 y t)))
(-.f64 x (/.f64 (*.f64 z y) t))
(*.f64 y (-.f64 (/.f64 1 t) (/.f64 1 t)))
(-.f64 x (*.f64 (/.f64 1 t) (*.f64 z y)))
(-.f64 x (/.f64 1 (/.f64 t (*.f64 z y))))
(*.f64 (*.f64 z (/.f64 y t)) (+.f64 (*.f64 z -1/2) -1))
(-.f64 x (/.f64 1 (+.f64 (/.f64 t (*.f64 z y)) (*.f64 1/2 t))))
(*.f64 y (-.f64 (*.f64 -1/2 (/.f64 z (/.f64 t z))) (/.f64 z t)))
(-.f64 x (*.f64 (/.f64 y t) (-.f64 z (*.f64 z (*.f64 z -1/2)))))
(*.f64 (/.f64 y t) (-.f64 (*.f64 (*.f64 z z) (+.f64 (*.f64 z -1/6) -1/2)) z))
(*.f64 (/.f64 y t) (-.f64 (*.f64 (*.f64 z z) (+.f64 (*.f64 z -1/6) -1/2)) z))
(-.f64 x (*.f64 (/.f64 y t) (-.f64 z (*.f64 (*.f64 z z) (+.f64 -1/2 (*.f64 z -1/6))))))
(-.f64 x (/.f64 1 (+.f64 (+.f64 (*.f64 -1/2 (/.f64 t y)) (/.f64 t (*.f64 y z))) (*.f64 1/2 t))))
(-.f64 x (/.f64 (*.f64 (+.f64 z (*.f64 (*.f64 z z) (+.f64 1/2 (*.f64 z (+.f64 1/6 (*.f64 z 1/24)))))) y) t))
(-.f64 x (/.f64 1 (+.f64 (+.f64 (/.f64 t (*.f64 z y)) (*.f64 (/.f64 t y) (-.f64 -1/2 (*.f64 z -1/12)))) (*.f64 1/2 t))))
(*.f64 y (-.f64 (*.f64 (*.f64 z z) (+.f64 (*.f64 z (+.f64 (/.f64 -1/6 t) (/.f64 -1/24 (/.f64 t z)))) (/.f64 -1/2 t))) (/.f64 z t)))
(/.f64 (*.f64 y (expm1.f64 z)) (neg.f64 t))
(*.f64 (neg.f64 (expm1.f64 z)) (/.f64 y t))
(*.f64 y (/.f64 (neg.f64 (expm1.f64 z)) t))
(*.f64 (expm1.f64 z) (/.f64 (neg.f64 y) t))
(fma.f64 (*.f64 (/.f64 -1 t) z) y x)
(-.f64 x (/.f64 (expm1.f64 z) (/.f64 t y)))
(-.f64 x (*.f64 y (/.f64 (expm1.f64 z) t)))
(-.f64 x (/.f64 (*.f64 (expm1.f64 z) y) t))
(*.f64 y (-.f64 (/.f64 1 t) (/.f64 (exp.f64 z) t)))
(-.f64 x (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(-.f64 x (/.f64 (*.f64 1/24 (*.f64 y (pow.f64 z 4))) t))
(-.f64 x (*.f64 (/.f64 1 t) (/.f64 (expm1.f64 z) (/.f64 1 y))))
(*.f64 y (/.f64 (-.f64 t (*.f64 t (exp.f64 z))) (*.f64 t t)))
(-.f64 x (/.f64 1 (+.f64 (/.f64 t (*.f64 (expm1.f64 z) y)) (*.f64 1/2 t))))
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (+.f64 z (*.f64 1/2 (*.f64 z z))))) t))
(-.f64 x (/.f64 1 (+.f64 (/.f64 t (*.f64 (-.f64 (exp.f64 z) 1) y)) (*.f64 1/2 t))))
(-.f64 x (/.f64 1 (/.f64 t (log1p.f64 (*.f64 y (+.f64 z (*.f64 1/2 (*.f64 z z))))))))
(-.f64 x (*.f64 (/.f64 1 t) (log1p.f64 (*.f64 y (+.f64 z (*.f64 1/2 (*.f64 z z)))))))
(-.f64 x (/.f64 1 (fma.f64 -1/2 (*.f64 (/.f64 t (*.f64 y y)) (-.f64 y (*.f64 y y))) (/.f64 t (*.f64 z y)))))
Outputs
(-.f64 x (/.f64 1 (+.f64 (/.f64 t (*.f64 z y)) (*.f64 1/2 t))))
(-.f64 x (/.f64 (expm1.f64 z) (/.f64 t y)))
(-.f64 x (*.f64 (/.f64 1 t) (log1p.f64 (*.f64 y (+.f64 z (*.f64 1/2 (*.f64 z z)))))))
Calls

6 calls:

103.0ms
z
103.0ms
t
85.0ms
y
26.0ms
x
8.0ms
(exp.f64 z)
Results
ErrorSegmentsBranch
8.3b1x
5.1b3y
5.6b2z
6.6b3t
5.6b2(exp.f64 z)
5.6b2(exp.f64 z)
Compiler

Compiled 555 to 264 computations (52.4% saved)

bsearch145.0ms (0.6%)

Algorithm
2×binary-search
Steps
TimeLeftRight
87.0ms
20221009547976.62
2.0402375180836506e+26
57.0ms
-1.1835943161938634e-5
-4.289265231303797e-9
Compiler

Compiled 364 to 258 computations (29.1% saved)

regimes384.0ms (1.5%)

Counts
48 → 3
Calls
Call 1
Inputs
x
x
(*.f64 y 0)
(-.f64 x (/.f64 2 t))
(/.f64 (*.f64 y z) t)
(/.f64 y (/.f64 t z))
(/.f64 (*.f64 y z) (neg.f64 t))
(*.f64 z (/.f64 (neg.f64 y) t))
(*.f64 y (/.f64 (neg.f64 z) t))
(-.f64 x (/.f64 z (/.f64 t y)))
(-.f64 x (/.f64 y (/.f64 t z)))
(-.f64 x (/.f64 z (/.f64 t y)))
(-.f64 x (/.f64 (*.f64 z y) t))
(-.f64 x (/.f64 y (/.f64 t z)))
(-.f64 x (/.f64 z (/.f64 t y)))
(-.f64 x (*.f64 z (/.f64 y t)))
(-.f64 x (/.f64 (*.f64 z y) t))
(*.f64 y (-.f64 (/.f64 1 t) (/.f64 1 t)))
(-.f64 x (*.f64 (/.f64 1 t) (*.f64 z y)))
(-.f64 x (/.f64 1 (/.f64 t (*.f64 z y))))
(*.f64 (*.f64 z (/.f64 y t)) (+.f64 (*.f64 z -1/2) -1))
(-.f64 x (/.f64 1 (+.f64 (/.f64 t (*.f64 z y)) (*.f64 1/2 t))))
(*.f64 y (-.f64 (*.f64 -1/2 (/.f64 z (/.f64 t z))) (/.f64 z t)))
(-.f64 x (*.f64 (/.f64 y t) (-.f64 z (*.f64 z (*.f64 z -1/2)))))
(*.f64 (/.f64 y t) (-.f64 (*.f64 (*.f64 z z) (+.f64 (*.f64 z -1/6) -1/2)) z))
(*.f64 (/.f64 y t) (-.f64 (*.f64 (*.f64 z z) (+.f64 (*.f64 z -1/6) -1/2)) z))
(-.f64 x (*.f64 (/.f64 y t) (-.f64 z (*.f64 (*.f64 z z) (+.f64 -1/2 (*.f64 z -1/6))))))
(-.f64 x (/.f64 1 (+.f64 (+.f64 (*.f64 -1/2 (/.f64 t y)) (/.f64 t (*.f64 y z))) (*.f64 1/2 t))))
(-.f64 x (/.f64 (*.f64 (+.f64 z (*.f64 (*.f64 z z) (+.f64 1/2 (*.f64 z (+.f64 1/6 (*.f64 z 1/24)))))) y) t))
(-.f64 x (/.f64 1 (+.f64 (+.f64 (/.f64 t (*.f64 z y)) (*.f64 (/.f64 t y) (-.f64 -1/2 (*.f64 z -1/12)))) (*.f64 1/2 t))))
(*.f64 y (-.f64 (*.f64 (*.f64 z z) (+.f64 (*.f64 z (+.f64 (/.f64 -1/6 t) (/.f64 -1/24 (/.f64 t z)))) (/.f64 -1/2 t))) (/.f64 z t)))
(/.f64 (*.f64 y (expm1.f64 z)) (neg.f64 t))
(*.f64 (neg.f64 (expm1.f64 z)) (/.f64 y t))
(*.f64 y (/.f64 (neg.f64 (expm1.f64 z)) t))
(*.f64 (expm1.f64 z) (/.f64 (neg.f64 y) t))
(fma.f64 (*.f64 (/.f64 -1 t) z) y x)
(-.f64 x (/.f64 (expm1.f64 z) (/.f64 t y)))
(-.f64 x (*.f64 y (/.f64 (expm1.f64 z) t)))
(-.f64 x (/.f64 (*.f64 (expm1.f64 z) y) t))
(*.f64 y (-.f64 (/.f64 1 t) (/.f64 (exp.f64 z) t)))
(-.f64 x (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(-.f64 x (/.f64 (*.f64 1/24 (*.f64 y (pow.f64 z 4))) t))
(-.f64 x (*.f64 (/.f64 1 t) (/.f64 (expm1.f64 z) (/.f64 1 y))))
(*.f64 y (/.f64 (-.f64 t (*.f64 t (exp.f64 z))) (*.f64 t t)))
(-.f64 x (/.f64 1 (+.f64 (/.f64 t (*.f64 (expm1.f64 z) y)) (*.f64 1/2 t))))
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (+.f64 z (*.f64 1/2 (*.f64 z z))))) t))
(-.f64 x (/.f64 1 (+.f64 (/.f64 t (*.f64 (-.f64 (exp.f64 z) 1) y)) (*.f64 1/2 t))))
(-.f64 x (/.f64 1 (/.f64 t (log1p.f64 (*.f64 y (+.f64 z (*.f64 1/2 (*.f64 z z))))))))
Outputs
(-.f64 x (/.f64 1 (+.f64 (/.f64 t (*.f64 z y)) (*.f64 1/2 t))))
(-.f64 x (/.f64 (expm1.f64 z) (/.f64 t y)))
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (+.f64 z (*.f64 1/2 (*.f64 z z))))) t))
Calls

6 calls:

124.0ms
t
78.0ms
y
69.0ms
x
58.0ms
z
13.0ms
(exp.f64 z)
Results
ErrorSegmentsBranch
8.3b1x
5.1b3y
5.6b2z
6.6b3t
5.6b2(exp.f64 z)
5.6b2(exp.f64 z)
Compiler

Compiled 517 to 246 computations (52.4% saved)

bsearch177.0ms (0.7%)

Algorithm
2×binary-search
Steps
TimeLeftRight
79.0ms
2.0402375180836506e+26
2.263066100033303e+33
97.0ms
-1.1835943161938634e-5
-4.289265231303797e-9
Compiler

Compiled 312 to 216 computations (30.8% saved)

regimes421.0ms (1.6%)

Counts
45 → 3
Calls
Call 1
Inputs
x
x
(*.f64 y 0)
(-.f64 x (/.f64 2 t))
(/.f64 (*.f64 y z) t)
(/.f64 y (/.f64 t z))
(/.f64 (*.f64 y z) (neg.f64 t))
(*.f64 z (/.f64 (neg.f64 y) t))
(*.f64 y (/.f64 (neg.f64 z) t))
(-.f64 x (/.f64 z (/.f64 t y)))
(-.f64 x (/.f64 y (/.f64 t z)))
(-.f64 x (/.f64 z (/.f64 t y)))
(-.f64 x (/.f64 (*.f64 z y) t))
(-.f64 x (/.f64 y (/.f64 t z)))
(-.f64 x (/.f64 z (/.f64 t y)))
(-.f64 x (*.f64 z (/.f64 y t)))
(-.f64 x (/.f64 (*.f64 z y) t))
(*.f64 y (-.f64 (/.f64 1 t) (/.f64 1 t)))
(-.f64 x (*.f64 (/.f64 1 t) (*.f64 z y)))
(-.f64 x (/.f64 1 (/.f64 t (*.f64 z y))))
(*.f64 (*.f64 z (/.f64 y t)) (+.f64 (*.f64 z -1/2) -1))
(-.f64 x (/.f64 1 (+.f64 (/.f64 t (*.f64 z y)) (*.f64 1/2 t))))
(*.f64 y (-.f64 (*.f64 -1/2 (/.f64 z (/.f64 t z))) (/.f64 z t)))
(-.f64 x (*.f64 (/.f64 y t) (-.f64 z (*.f64 z (*.f64 z -1/2)))))
(*.f64 (/.f64 y t) (-.f64 (*.f64 (*.f64 z z) (+.f64 (*.f64 z -1/6) -1/2)) z))
(*.f64 (/.f64 y t) (-.f64 (*.f64 (*.f64 z z) (+.f64 (*.f64 z -1/6) -1/2)) z))
(-.f64 x (*.f64 (/.f64 y t) (-.f64 z (*.f64 (*.f64 z z) (+.f64 -1/2 (*.f64 z -1/6))))))
(-.f64 x (/.f64 1 (+.f64 (+.f64 (*.f64 -1/2 (/.f64 t y)) (/.f64 t (*.f64 y z))) (*.f64 1/2 t))))
(-.f64 x (/.f64 (*.f64 (+.f64 z (*.f64 (*.f64 z z) (+.f64 1/2 (*.f64 z (+.f64 1/6 (*.f64 z 1/24)))))) y) t))
(-.f64 x (/.f64 1 (+.f64 (+.f64 (/.f64 t (*.f64 z y)) (*.f64 (/.f64 t y) (-.f64 -1/2 (*.f64 z -1/12)))) (*.f64 1/2 t))))
(*.f64 y (-.f64 (*.f64 (*.f64 z z) (+.f64 (*.f64 z (+.f64 (/.f64 -1/6 t) (/.f64 -1/24 (/.f64 t z)))) (/.f64 -1/2 t))) (/.f64 z t)))
(/.f64 (*.f64 y (expm1.f64 z)) (neg.f64 t))
(*.f64 (neg.f64 (expm1.f64 z)) (/.f64 y t))
(*.f64 y (/.f64 (neg.f64 (expm1.f64 z)) t))
(*.f64 (expm1.f64 z) (/.f64 (neg.f64 y) t))
(fma.f64 (*.f64 (/.f64 -1 t) z) y x)
(-.f64 x (/.f64 (expm1.f64 z) (/.f64 t y)))
(-.f64 x (*.f64 y (/.f64 (expm1.f64 z) t)))
(-.f64 x (/.f64 (*.f64 (expm1.f64 z) y) t))
(*.f64 y (-.f64 (/.f64 1 t) (/.f64 (exp.f64 z) t)))
(-.f64 x (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(-.f64 x (/.f64 (*.f64 1/24 (*.f64 y (pow.f64 z 4))) t))
(-.f64 x (*.f64 (/.f64 1 t) (/.f64 (expm1.f64 z) (/.f64 1 y))))
(*.f64 y (/.f64 (-.f64 t (*.f64 t (exp.f64 z))) (*.f64 t t)))
(-.f64 x (/.f64 1 (+.f64 (/.f64 t (*.f64 (expm1.f64 z) y)) (*.f64 1/2 t))))
Outputs
(-.f64 x (/.f64 1 (+.f64 (/.f64 t (*.f64 z y)) (*.f64 1/2 t))))
(-.f64 x (*.f64 y (/.f64 (expm1.f64 z) t)))
(-.f64 x (/.f64 1 (+.f64 (/.f64 t (*.f64 (expm1.f64 z) y)) (*.f64 1/2 t))))
Calls

6 calls:

156.0ms
y
104.0ms
z
78.0ms
t
36.0ms
(exp.f64 z)
26.0ms
x
Results
ErrorSegmentsBranch
8.3b1x
6.4b3y
7.1b3z
6.6b3t
8.3b1(exp.f64 z)
8.3b1(exp.f64 z)
Compiler

Compiled 471 to 220 computations (53.3% saved)

bsearch395.0ms (1.5%)

Algorithm
2×binary-search
Steps
TimeLeftRight
169.0ms
1.0791937122740663e-55
1.005356334537174e-52
225.0ms
-1.1835943161938634e-5
-4.289265231303797e-9
Compiler

Compiled 24 to 18 computations (25% saved)

regimes271.0ms (1.1%)

Counts
44 → 2
Calls
Call 1
Inputs
x
x
(*.f64 y 0)
(-.f64 x (/.f64 2 t))
(/.f64 (*.f64 y z) t)
(/.f64 y (/.f64 t z))
(/.f64 (*.f64 y z) (neg.f64 t))
(*.f64 z (/.f64 (neg.f64 y) t))
(*.f64 y (/.f64 (neg.f64 z) t))
(-.f64 x (/.f64 z (/.f64 t y)))
(-.f64 x (/.f64 y (/.f64 t z)))
(-.f64 x (/.f64 z (/.f64 t y)))
(-.f64 x (/.f64 (*.f64 z y) t))
(-.f64 x (/.f64 y (/.f64 t z)))
(-.f64 x (/.f64 z (/.f64 t y)))
(-.f64 x (*.f64 z (/.f64 y t)))
(-.f64 x (/.f64 (*.f64 z y) t))
(*.f64 y (-.f64 (/.f64 1 t) (/.f64 1 t)))
(-.f64 x (*.f64 (/.f64 1 t) (*.f64 z y)))
(-.f64 x (/.f64 1 (/.f64 t (*.f64 z y))))
(*.f64 (*.f64 z (/.f64 y t)) (+.f64 (*.f64 z -1/2) -1))
(-.f64 x (/.f64 1 (+.f64 (/.f64 t (*.f64 z y)) (*.f64 1/2 t))))
(*.f64 y (-.f64 (*.f64 -1/2 (/.f64 z (/.f64 t z))) (/.f64 z t)))
(-.f64 x (*.f64 (/.f64 y t) (-.f64 z (*.f64 z (*.f64 z -1/2)))))
(*.f64 (/.f64 y t) (-.f64 (*.f64 (*.f64 z z) (+.f64 (*.f64 z -1/6) -1/2)) z))
(*.f64 (/.f64 y t) (-.f64 (*.f64 (*.f64 z z) (+.f64 (*.f64 z -1/6) -1/2)) z))
(-.f64 x (*.f64 (/.f64 y t) (-.f64 z (*.f64 (*.f64 z z) (+.f64 -1/2 (*.f64 z -1/6))))))
(-.f64 x (/.f64 1 (+.f64 (+.f64 (*.f64 -1/2 (/.f64 t y)) (/.f64 t (*.f64 y z))) (*.f64 1/2 t))))
(-.f64 x (/.f64 (*.f64 (+.f64 z (*.f64 (*.f64 z z) (+.f64 1/2 (*.f64 z (+.f64 1/6 (*.f64 z 1/24)))))) y) t))
(-.f64 x (/.f64 1 (+.f64 (+.f64 (/.f64 t (*.f64 z y)) (*.f64 (/.f64 t y) (-.f64 -1/2 (*.f64 z -1/12)))) (*.f64 1/2 t))))
(*.f64 y (-.f64 (*.f64 (*.f64 z z) (+.f64 (*.f64 z (+.f64 (/.f64 -1/6 t) (/.f64 -1/24 (/.f64 t z)))) (/.f64 -1/2 t))) (/.f64 z t)))
(/.f64 (*.f64 y (expm1.f64 z)) (neg.f64 t))
(*.f64 (neg.f64 (expm1.f64 z)) (/.f64 y t))
(*.f64 y (/.f64 (neg.f64 (expm1.f64 z)) t))
(*.f64 (expm1.f64 z) (/.f64 (neg.f64 y) t))
(fma.f64 (*.f64 (/.f64 -1 t) z) y x)
(-.f64 x (/.f64 (expm1.f64 z) (/.f64 t y)))
(-.f64 x (*.f64 y (/.f64 (expm1.f64 z) t)))
(-.f64 x (/.f64 (*.f64 (expm1.f64 z) y) t))
(*.f64 y (-.f64 (/.f64 1 t) (/.f64 (exp.f64 z) t)))
(-.f64 x (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(-.f64 x (/.f64 (*.f64 1/24 (*.f64 y (pow.f64 z 4))) t))
(-.f64 x (*.f64 (/.f64 1 t) (/.f64 (expm1.f64 z) (/.f64 1 y))))
(*.f64 y (/.f64 (-.f64 t (*.f64 t (exp.f64 z))) (*.f64 t t)))
Outputs
(-.f64 x (/.f64 1 (+.f64 (/.f64 t (*.f64 z y)) (*.f64 1/2 t))))
(-.f64 x (*.f64 y (/.f64 (expm1.f64 z) t)))
Calls

6 calls:

84.0ms
x
81.0ms
y
29.0ms
t
22.0ms
z
8.0ms
(exp.f64 z)
Results
ErrorSegmentsBranch
8.9b2x
7.5b2y
9.9b1z
9.9b1t
9.9b1(exp.f64 z)
9.9b1(exp.f64 z)
Compiler

Compiled 457 to 213 computations (53.4% saved)

bsearch100.0ms (0.4%)

Algorithm
1×binary-search
Steps
TimeLeftRight
100.0ms
-1.1835943161938634e-5
-4.289265231303797e-9
Compiler

Compiled 24 to 18 computations (25% saved)

regimes501.0ms (2%)

Counts
37 → 3
Calls
Call 1
Inputs
x
x
(*.f64 y 0)
(-.f64 x (/.f64 2 t))
(/.f64 (*.f64 y z) t)
(/.f64 y (/.f64 t z))
(/.f64 (*.f64 y z) (neg.f64 t))
(*.f64 z (/.f64 (neg.f64 y) t))
(*.f64 y (/.f64 (neg.f64 z) t))
(-.f64 x (/.f64 z (/.f64 t y)))
(-.f64 x (/.f64 y (/.f64 t z)))
(-.f64 x (/.f64 z (/.f64 t y)))
(-.f64 x (/.f64 (*.f64 z y) t))
(-.f64 x (/.f64 y (/.f64 t z)))
(-.f64 x (/.f64 z (/.f64 t y)))
(-.f64 x (*.f64 z (/.f64 y t)))
(-.f64 x (/.f64 (*.f64 z y) t))
(*.f64 y (-.f64 (/.f64 1 t) (/.f64 1 t)))
(-.f64 x (*.f64 (/.f64 1 t) (*.f64 z y)))
(-.f64 x (/.f64 1 (/.f64 t (*.f64 z y))))
(*.f64 (*.f64 z (/.f64 y t)) (+.f64 (*.f64 z -1/2) -1))
(-.f64 x (/.f64 1 (+.f64 (/.f64 t (*.f64 z y)) (*.f64 1/2 t))))
(*.f64 y (-.f64 (*.f64 -1/2 (/.f64 z (/.f64 t z))) (/.f64 z t)))
(-.f64 x (*.f64 (/.f64 y t) (-.f64 z (*.f64 z (*.f64 z -1/2)))))
(*.f64 (/.f64 y t) (-.f64 (*.f64 (*.f64 z z) (+.f64 (*.f64 z -1/6) -1/2)) z))
(*.f64 (/.f64 y t) (-.f64 (*.f64 (*.f64 z z) (+.f64 (*.f64 z -1/6) -1/2)) z))
(-.f64 x (*.f64 (/.f64 y t) (-.f64 z (*.f64 (*.f64 z z) (+.f64 -1/2 (*.f64 z -1/6))))))
(-.f64 x (/.f64 1 (+.f64 (+.f64 (*.f64 -1/2 (/.f64 t y)) (/.f64 t (*.f64 y z))) (*.f64 1/2 t))))
(-.f64 x (/.f64 (*.f64 (+.f64 z (*.f64 (*.f64 z z) (+.f64 1/2 (*.f64 z (+.f64 1/6 (*.f64 z 1/24)))))) y) t))
(-.f64 x (/.f64 1 (+.f64 (+.f64 (/.f64 t (*.f64 z y)) (*.f64 (/.f64 t y) (-.f64 -1/2 (*.f64 z -1/12)))) (*.f64 1/2 t))))
(*.f64 y (-.f64 (*.f64 (*.f64 z z) (+.f64 (*.f64 z (+.f64 (/.f64 -1/6 t) (/.f64 -1/24 (/.f64 t z)))) (/.f64 -1/2 t))) (/.f64 z t)))
(/.f64 (*.f64 y (expm1.f64 z)) (neg.f64 t))
(*.f64 (neg.f64 (expm1.f64 z)) (/.f64 y t))
(*.f64 y (/.f64 (neg.f64 (expm1.f64 z)) t))
(*.f64 (expm1.f64 z) (/.f64 (neg.f64 y) t))
(fma.f64 (*.f64 (/.f64 -1 t) z) y x)
(-.f64 x (/.f64 (expm1.f64 z) (/.f64 t y)))
Outputs
(-.f64 x (/.f64 1 (+.f64 (/.f64 t (*.f64 z y)) (*.f64 1/2 t))))
(-.f64 x (/.f64 (expm1.f64 z) (/.f64 t y)))
(-.f64 x (/.f64 1 (+.f64 (+.f64 (*.f64 -1/2 (/.f64 t y)) (/.f64 t (*.f64 y z))) (*.f64 1/2 t))))
Calls

4 calls:

205.0ms
y
171.0ms
z
67.0ms
t
44.0ms
x
Results
ErrorSegmentsBranch
10.2b2x
6.5b3y
9.7b2z
11.3b1t
Compiler

Compiled 374 to 167 computations (55.3% saved)

bsearch251.0ms (1%)

Algorithm
2×binary-search
Steps
TimeLeftRight
134.0ms
2.0402375180836506e+26
2.263066100033303e+33
116.0ms
-1.1835943161938634e-5
-4.289265231303797e-9
Compiler

Compiled 357 to 252 computations (29.4% saved)

regimes449.0ms (1.8%)

Counts
36 → 3
Calls
Call 1
Inputs
x
x
(*.f64 y 0)
(-.f64 x (/.f64 2 t))
(/.f64 (*.f64 y z) t)
(/.f64 y (/.f64 t z))
(/.f64 (*.f64 y z) (neg.f64 t))
(*.f64 z (/.f64 (neg.f64 y) t))
(*.f64 y (/.f64 (neg.f64 z) t))
(-.f64 x (/.f64 z (/.f64 t y)))
(-.f64 x (/.f64 y (/.f64 t z)))
(-.f64 x (/.f64 z (/.f64 t y)))
(-.f64 x (/.f64 (*.f64 z y) t))
(-.f64 x (/.f64 y (/.f64 t z)))
(-.f64 x (/.f64 z (/.f64 t y)))
(-.f64 x (*.f64 z (/.f64 y t)))
(-.f64 x (/.f64 (*.f64 z y) t))
(*.f64 y (-.f64 (/.f64 1 t) (/.f64 1 t)))
(-.f64 x (*.f64 (/.f64 1 t) (*.f64 z y)))
(-.f64 x (/.f64 1 (/.f64 t (*.f64 z y))))
(*.f64 (*.f64 z (/.f64 y t)) (+.f64 (*.f64 z -1/2) -1))
(-.f64 x (/.f64 1 (+.f64 (/.f64 t (*.f64 z y)) (*.f64 1/2 t))))
(*.f64 y (-.f64 (*.f64 -1/2 (/.f64 z (/.f64 t z))) (/.f64 z t)))
(-.f64 x (*.f64 (/.f64 y t) (-.f64 z (*.f64 z (*.f64 z -1/2)))))
(*.f64 (/.f64 y t) (-.f64 (*.f64 (*.f64 z z) (+.f64 (*.f64 z -1/6) -1/2)) z))
(*.f64 (/.f64 y t) (-.f64 (*.f64 (*.f64 z z) (+.f64 (*.f64 z -1/6) -1/2)) z))
(-.f64 x (*.f64 (/.f64 y t) (-.f64 z (*.f64 (*.f64 z z) (+.f64 -1/2 (*.f64 z -1/6))))))
(-.f64 x (/.f64 1 (+.f64 (+.f64 (*.f64 -1/2 (/.f64 t y)) (/.f64 t (*.f64 y z))) (*.f64 1/2 t))))
(-.f64 x (/.f64 (*.f64 (+.f64 z (*.f64 (*.f64 z z) (+.f64 1/2 (*.f64 z (+.f64 1/6 (*.f64 z 1/24)))))) y) t))
(-.f64 x (/.f64 1 (+.f64 (+.f64 (/.f64 t (*.f64 z y)) (*.f64 (/.f64 t y) (-.f64 -1/2 (*.f64 z -1/12)))) (*.f64 1/2 t))))
(*.f64 y (-.f64 (*.f64 (*.f64 z z) (+.f64 (*.f64 z (+.f64 (/.f64 -1/6 t) (/.f64 -1/24 (/.f64 t z)))) (/.f64 -1/2 t))) (/.f64 z t)))
(/.f64 (*.f64 y (expm1.f64 z)) (neg.f64 t))
(*.f64 (neg.f64 (expm1.f64 z)) (/.f64 y t))
(*.f64 y (/.f64 (neg.f64 (expm1.f64 z)) t))
(*.f64 (expm1.f64 z) (/.f64 (neg.f64 y) t))
(fma.f64 (*.f64 (/.f64 -1 t) z) y x)
Outputs
(-.f64 x (/.f64 1 (+.f64 (+.f64 (*.f64 -1/2 (/.f64 t y)) (/.f64 t (*.f64 y z))) (*.f64 1/2 t))))
(-.f64 x (/.f64 y (/.f64 t z)))
(-.f64 x (/.f64 1 (+.f64 (/.f64 t (*.f64 z y)) (*.f64 1/2 t))))
Calls

4 calls:

172.0ms
y
149.0ms
t
83.0ms
z
33.0ms
x
Results
ErrorSegmentsBranch
15.7b1x
12.8b3y
12.2b3z
12.9b4t
Compiler

Compiled 366 to 165 computations (54.9% saved)

bsearch670.0ms (2.6%)

Algorithm
2×binary-search
Steps
TimeLeftRight
143.0ms
4.470581568347432e-291
6.092533789316634e-289
526.0ms
-8.582566591664406e-51
-3.1336661704466392e-52
Compiler

Compiled 276 to 193 computations (30.1% saved)

regimes225.0ms (0.9%)

Counts
27 → 3
Calls
Call 1
Inputs
x
x
(*.f64 y 0)
(-.f64 x (/.f64 2 t))
(/.f64 (*.f64 y z) t)
(/.f64 y (/.f64 t z))
(/.f64 (*.f64 y z) (neg.f64 t))
(*.f64 z (/.f64 (neg.f64 y) t))
(*.f64 y (/.f64 (neg.f64 z) t))
(-.f64 x (/.f64 z (/.f64 t y)))
(-.f64 x (/.f64 y (/.f64 t z)))
(-.f64 x (/.f64 z (/.f64 t y)))
(-.f64 x (/.f64 (*.f64 z y) t))
(-.f64 x (/.f64 y (/.f64 t z)))
(-.f64 x (/.f64 z (/.f64 t y)))
(-.f64 x (*.f64 z (/.f64 y t)))
(-.f64 x (/.f64 (*.f64 z y) t))
(*.f64 y (-.f64 (/.f64 1 t) (/.f64 1 t)))
(-.f64 x (*.f64 (/.f64 1 t) (*.f64 z y)))
(-.f64 x (/.f64 1 (/.f64 t (*.f64 z y))))
(*.f64 (*.f64 z (/.f64 y t)) (+.f64 (*.f64 z -1/2) -1))
(-.f64 x (/.f64 1 (+.f64 (/.f64 t (*.f64 z y)) (*.f64 1/2 t))))
(*.f64 y (-.f64 (*.f64 -1/2 (/.f64 z (/.f64 t z))) (/.f64 z t)))
(-.f64 x (*.f64 (/.f64 y t) (-.f64 z (*.f64 z (*.f64 z -1/2)))))
(*.f64 (/.f64 y t) (-.f64 (*.f64 (*.f64 z z) (+.f64 (*.f64 z -1/6) -1/2)) z))
(*.f64 (/.f64 y t) (-.f64 (*.f64 (*.f64 z z) (+.f64 (*.f64 z -1/6) -1/2)) z))
(-.f64 x (*.f64 (/.f64 y t) (-.f64 z (*.f64 (*.f64 z z) (+.f64 -1/2 (*.f64 z -1/6))))))
Outputs
x
(-.f64 x (/.f64 y (/.f64 t z)))
(-.f64 x (/.f64 1 (+.f64 (/.f64 t (*.f64 z y)) (*.f64 1/2 t))))
Calls

4 calls:

121.0ms
t
42.0ms
z
40.0ms
y
15.0ms
x
Results
ErrorSegmentsBranch
16.4b1x
14.6b3y
13.5b3z
14.9b3t
Compiler

Compiled 242 to 107 computations (55.8% saved)

bsearch335.0ms (1.3%)

Algorithm
2×binary-search
Steps
TimeLeftRight
119.0ms
4.470581568347432e-291
6.092533789316634e-289
216.0ms
-3.022530420683301e+23
-1998540889633107700.0
Compiler

Compiled 186 to 135 computations (27.4% saved)

regimes132.0ms (0.5%)

Counts
21 → 2
Calls
Call 1
Inputs
x
x
(*.f64 y 0)
(-.f64 x (/.f64 2 t))
(/.f64 (*.f64 y z) t)
(/.f64 y (/.f64 t z))
(/.f64 (*.f64 y z) (neg.f64 t))
(*.f64 z (/.f64 (neg.f64 y) t))
(*.f64 y (/.f64 (neg.f64 z) t))
(-.f64 x (/.f64 z (/.f64 t y)))
(-.f64 x (/.f64 y (/.f64 t z)))
(-.f64 x (/.f64 z (/.f64 t y)))
(-.f64 x (/.f64 (*.f64 z y) t))
(-.f64 x (/.f64 y (/.f64 t z)))
(-.f64 x (/.f64 z (/.f64 t y)))
(-.f64 x (*.f64 z (/.f64 y t)))
(-.f64 x (/.f64 (*.f64 z y) t))
(*.f64 y (-.f64 (/.f64 1 t) (/.f64 1 t)))
(-.f64 x (*.f64 (/.f64 1 t) (*.f64 z y)))
(-.f64 x (/.f64 1 (/.f64 t (*.f64 z y))))
(*.f64 (*.f64 z (/.f64 y t)) (+.f64 (*.f64 z -1/2) -1))
Outputs
x
(-.f64 x (/.f64 y (/.f64 t z)))
Calls

4 calls:

44.0ms
t
33.0ms
y
31.0ms
x
20.0ms
z
Results
ErrorSegmentsBranch
18.0b2x
18.7b2y
14.5b2z
16.0b3t
Compiler

Compiled 156 to 66 computations (57.7% saved)

bsearch279.0ms (1.1%)

Algorithm
1×binary-search
Steps
TimeLeftRight
278.0ms
-3.022530420683301e+23
-1998540889633107700.0
Compiler

Compiled 186 to 135 computations (27.4% saved)

regimes137.0ms (0.5%)

Counts
10 → 2
Calls
Call 1
Inputs
x
x
(*.f64 y 0)
(-.f64 x (/.f64 2 t))
(/.f64 (*.f64 y z) t)
(/.f64 y (/.f64 t z))
(/.f64 (*.f64 y z) (neg.f64 t))
(*.f64 z (/.f64 (neg.f64 y) t))
(*.f64 y (/.f64 (neg.f64 z) t))
(-.f64 x (/.f64 z (/.f64 t y)))
Outputs
x
(-.f64 x (/.f64 z (/.f64 t y)))
Calls

4 calls:

54.0ms
t
36.0ms
y
25.0ms
z
18.0ms
x
Results
ErrorSegmentsBranch
17.2b3x
19.7b2y
15.9b2z
17.8b3t
Compiler

Compiled 69 to 40 computations (42% saved)

bsearch203.0ms (0.8%)

Algorithm
1×binary-search
Steps
TimeLeftRight
202.0ms
-3.022530420683301e+23
-1998540889633107700.0
Compiler

Compiled 186 to 135 computations (27.4% saved)

regimes59.0ms (0.2%)

Counts
9 → 5
Calls
Call 1
Inputs
x
x
(*.f64 y 0)
(-.f64 x (/.f64 2 t))
(/.f64 (*.f64 y z) t)
(/.f64 y (/.f64 t z))
(/.f64 (*.f64 y z) (neg.f64 t))
(*.f64 z (/.f64 (neg.f64 y) t))
(*.f64 y (/.f64 (neg.f64 z) t))
Outputs
x
(*.f64 y (/.f64 (neg.f64 z) t))
x
(/.f64 (*.f64 y z) (neg.f64 t))
x
Calls

4 calls:

28.0ms
x
16.0ms
t
6.0ms
z
6.0ms
y
Results
ErrorSegmentsBranch
19.4b5x
22.1b1y
22.1b1z
19.4b3t
Compiler

Compiled 62 to 37 computations (40.3% saved)

bsearch560.0ms (2.2%)

Algorithm
4×binary-search
Steps
TimeLeftRight
118.0ms
2.392208891132122e-122
1.4589807108748466e-119
163.0ms
2.9381854069069127e-162
6.823142718397146e-161
175.0ms
8.032581468628282e-278
4.7586899489962515e-272
104.0ms
-1.079412457530686e-185
-1.435563834475528e-186
Compiler

Compiled 24 to 18 computations (25% saved)

regimes163.0ms (0.6%)

Counts
8 → 5
Calls
Call 1
Inputs
x
x
(*.f64 y 0)
(-.f64 x (/.f64 2 t))
(/.f64 (*.f64 y z) t)
(/.f64 y (/.f64 t z))
(/.f64 (*.f64 y z) (neg.f64 t))
(*.f64 z (/.f64 (neg.f64 y) t))
Outputs
x
(*.f64 z (/.f64 (neg.f64 y) t))
x
(/.f64 (*.f64 y z) (neg.f64 t))
x
Calls

4 calls:

92.0ms
x
57.0ms
t
6.0ms
y
5.0ms
z
Results
ErrorSegmentsBranch
19.6b5x
22.1b1y
22.1b1z
20.9b3t
Compiler

Compiled 56 to 34 computations (39.3% saved)

bsearch673.0ms (2.6%)

Algorithm
4×binary-search
Steps
TimeLeftRight
115.0ms
2.392208891132122e-122
1.4589807108748466e-119
232.0ms
2.9381854069069127e-162
6.823142718397146e-161
126.0ms
8.032581468628282e-278
4.7586899489962515e-272
200.0ms
-8.129022557648714e-277
-5.997974529373063e-279
Compiler

Compiled 24 to 18 computations (25% saved)

regimes232.0ms (0.9%)

Counts
7 → 5
Calls
Call 1
Inputs
x
x
(*.f64 y 0)
(-.f64 x (/.f64 2 t))
(/.f64 (*.f64 y z) t)
(/.f64 y (/.f64 t z))
(/.f64 (*.f64 y z) (neg.f64 t))
Outputs
x
(/.f64 (*.f64 y z) (neg.f64 t))
x
(/.f64 (*.f64 y z) (neg.f64 t))
x
Calls

4 calls:

158.0ms
y
38.0ms
t
27.0ms
x
6.0ms
z
Results
ErrorSegmentsBranch
19.8b5x
22.1b1y
22.1b1z
21.0b3t
Compiler

Compiled 50 to 31 computations (38% saved)

bsearch726.0ms (2.8%)

Algorithm
4×binary-search
Steps
TimeLeftRight
172.0ms
2.392208891132122e-122
1.4589807108748466e-119
126.0ms
2.9381854069069127e-162
6.823142718397146e-161
217.0ms
8.032581468628282e-278
4.7586899489962515e-272
210.0ms
-1.079412457530686e-185
-1.435563834475528e-186
Compiler

Compiled 24 to 18 computations (25% saved)

regimes49.0ms (0.2%)

Accuracy

Total -40.7b remaining (-184.1%)

Threshold costs -40.7b (-184.1%)

Counts
6 → 1
Calls
Call 1
Inputs
x
x
(*.f64 y 0)
(-.f64 x (/.f64 2 t))
(/.f64 (*.f64 y z) t)
(/.f64 y (/.f64 t z))
Outputs
x
Calls

4 calls:

6.0ms
y
5.0ms
t
5.0ms
x
5.0ms
z
Results
ErrorSegmentsBranch
22.1b1x
22.1b1y
22.1b1z
22.1b1t
Compiler

Compiled 44 to 29 computations (34.1% saved)

simplify63.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
37×+-commutative_binary64
34×*-commutative_binary64
32×sub-neg_binary64
24×neg-sub0_binary64
24×neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0115636
1169636
2241636
3291636
4316636
5322636
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(if (<=.f64 y -17356385823567190016/247330401473104534060502521019647190035131349101211839914063056092897225106531867170316401061243044989597671426016139339351365034306751209967546155101893167916606772148699136) (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) (if (<=.f64 y 828304663626233/10830740992659433045228180406808920716548582325686783496759685861775864483615725089999900023844295226942934417817982702456930304) (-.f64 x (*.f64 y (/.f64 (expm1.f64 z) t))) (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))))
(if (<=.f64 y -6986707660136147/590295810358705651712) (-.f64 x (/.f64 1 (+.f64 (/.f64 t (*.f64 z y)) (*.f64 1/2 t)))) (if (<=.f64 y 200000000000000009529458688) (-.f64 x (/.f64 (expm1.f64 z) (/.f64 t y))) (-.f64 x (*.f64 (/.f64 1 t) (log1p.f64 (*.f64 y (+.f64 z (*.f64 1/2 (*.f64 z z)))))))))
(if (<=.f64 y -6986707660136147/590295810358705651712) (-.f64 x (/.f64 1 (+.f64 (/.f64 t (*.f64 z y)) (*.f64 1/2 t)))) (if (<=.f64 y 2250000000000000021659457796702208) (-.f64 x (/.f64 (expm1.f64 z) (/.f64 t y))) (-.f64 x (/.f64 (log1p.f64 (*.f64 y (+.f64 z (*.f64 1/2 (*.f64 z z))))) t))))
(if (<=.f64 y -6986707660136147/590295810358705651712) (-.f64 x (/.f64 1 (+.f64 (/.f64 t (*.f64 z y)) (*.f64 1/2 t)))) (if (<=.f64 y 5958657008933507/55213970774324510299478046898216203619608871777363092441300193790394368) (-.f64 x (*.f64 y (/.f64 (expm1.f64 z) t))) (-.f64 x (/.f64 1 (+.f64 (/.f64 t (*.f64 (expm1.f64 z) y)) (*.f64 1/2 t))))))
(if (<=.f64 y -6986707660136147/590295810358705651712) (-.f64 x (/.f64 1 (+.f64 (/.f64 t (*.f64 z y)) (*.f64 1/2 t)))) (-.f64 x (*.f64 y (/.f64 (expm1.f64 z) t))))
(if (<=.f64 y -6986707660136147/590295810358705651712) (-.f64 x (/.f64 1 (+.f64 (/.f64 t (*.f64 z y)) (*.f64 1/2 t)))) (if (<=.f64 y 210000000000000008287944704) (-.f64 x (/.f64 (expm1.f64 z) (/.f64 t y))) (-.f64 x (/.f64 1 (+.f64 (+.f64 (*.f64 -1/2 (/.f64 t y)) (/.f64 t (*.f64 y z))) (*.f64 1/2 t))))))
(if (<=.f64 z -8492383200152452/26959946667150639794667015087019630673637144422540572481103610249216) (-.f64 x (/.f64 1 (+.f64 (+.f64 (*.f64 -1/2 (/.f64 t y)) (/.f64 t (*.f64 y z))) (*.f64 1/2 t)))) (if (<=.f64 z 803673379426018432/179769313486231590772930519078902473361797697894230657273430081157732675805500963132708477322407536021120113879871393357658789768814416622492847430639474124377767893424865485276302219601246094119453082952085005768838150682342462881473913110540827237163350510684586298239947245938479716304835356329624224137216) (-.f64 x (/.f64 y (/.f64 t z))) (-.f64 x (/.f64 1 (+.f64 (/.f64 t (*.f64 z y)) (*.f64 1/2 t))))))
(if (<=.f64 z -2000000000000000000) x (if (<=.f64 z 803673379426018432/179769313486231590772930519078902473361797697894230657273430081157732675805500963132708477322407536021120113879871393357658789768814416622492847430639474124377767893424865485276302219601246094119453082952085005768838150682342462881473913110540827237163350510684586298239947245938479716304835356329624224137216) (-.f64 x (/.f64 y (/.f64 t z))) (-.f64 x (/.f64 1 (+.f64 (/.f64 t (*.f64 z y)) (*.f64 1/2 t))))))
(if (<=.f64 z -2000000000000000000) x (-.f64 x (/.f64 y (/.f64 t z))))
(if (<=.f64 z -2000000000000000000) x (-.f64 x (/.f64 z (/.f64 t y))))
(if (<=.f64 x -211516626940508192/19595533242629369747791401605606558418088927130487463844933662202465281465266200982457647235235528838735010358900495684567911298014908298340170885513171109743249504533143507682501017145381579984990109696) x (if (<=.f64 x 3206349976941985/39916806190694396233127454260736771321349025208709150830050944848744237837379281315699159309852714021786848936883849904879448759767871873214783435965696628406400113459021713530350754428887259743653067134890878479866616209102417407777777105368960883150142418137515120832847169904606880198557696) (*.f64 y (/.f64 (neg.f64 z) t)) (if (<=.f64 x 5953147504989829/2026130648867672343023636652192949780767796011837127392576004555513014068072709055859231957493703024554784124321924213467966382361040905912054138102594708831572842677442143322112) x (if (<=.f64 x 8902400300436889/372141426839350727961253789638658321589064376671906846864122981980487315514059736743009817965446945567110411062408283101969716033850703872) (/.f64 (*.f64 y z) (neg.f64 t)) x))))
(if (<=.f64 x -8112115448836165/9979201547673599058281863565184192830337256302177287707512736212186059459344820328924789827463178505446712234220962476219862189941967968303695858991424157101600028364755428382587688607221814935913266783722719619966654052275604351944444276342240220787535604534378780208211792476151720049639424) x (if (<=.f64 x 3206349976941985/39916806190694396233127454260736771321349025208709150830050944848744237837379281315699159309852714021786848936883849904879448759767871873214783435965696628406400113459021713530350754428887259743653067134890878479866616209102417407777777105368960883150142418137515120832847169904606880198557696) (*.f64 z (/.f64 (neg.f64 y) t)) (if (<=.f64 x 5953147504989829/2026130648867672343023636652192949780767796011837127392576004555513014068072709055859231957493703024554784124321924213467966382361040905912054138102594708831572842677442143322112) x (if (<=.f64 x 8902400300436889/372141426839350727961253789638658321589064376671906846864122981980487315514059736743009817965446945567110411062408283101969716033850703872) (/.f64 (*.f64 y z) (neg.f64 t)) x))))
(if (<=.f64 x -211516626940508192/19595533242629369747791401605606558418088927130487463844933662202465281465266200982457647235235528838735010358900495684567911298014908298340170885513171109743249504533143507682501017145381579984990109696) x (if (<=.f64 x 3206349976941985/39916806190694396233127454260736771321349025208709150830050944848744237837379281315699159309852714021786848936883849904879448759767871873214783435965696628406400113459021713530350754428887259743653067134890878479866616209102417407777777105368960883150142418137515120832847169904606880198557696) (/.f64 (*.f64 y z) (neg.f64 t)) (if (<=.f64 x 5953147504989829/2026130648867672343023636652192949780767796011837127392576004555513014068072709055859231957493703024554784124321924213467966382361040905912054138102594708831572842677442143322112) x (if (<=.f64 x 8902400300436889/372141426839350727961253789638658321589064376671906846864122981980487315514059736743009817965446945567110411062408283101969716033850703872) (/.f64 (*.f64 y z) (neg.f64 t)) x))))
x
Outputs
(if (<=.f64 y -17356385823567190016/247330401473104534060502521019647190035131349101211839914063056092897225106531867170316401061243044989597671426016139339351365034306751209967546155101893167916606772148699136) (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) (if (<=.f64 y 828304663626233/10830740992659433045228180406808920716548582325686783496759685861775864483615725089999900023844295226942934417817982702456930304) (-.f64 x (*.f64 y (/.f64 (expm1.f64 z) t))) (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))))
(if (<=.f64 y -8474797765413667/120766797594289323271729746591624604509341479053326093708038601607859973196548763266756055205685080561326988000984443036792658708157593364241965896045846273396780650463232) (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) (if (<=.f64 y 828304663626233/10830740992659433045228180406808920716548582325686783496759685861775864483615725089999900023844295226942934417817982702456930304) (-.f64 x (*.f64 y (/.f64 (expm1.f64 z) t))) (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))))
(if (<=.f64 y -6986707660136147/590295810358705651712) (-.f64 x (/.f64 1 (+.f64 (/.f64 t (*.f64 z y)) (*.f64 1/2 t)))) (if (<=.f64 y 200000000000000009529458688) (-.f64 x (/.f64 (expm1.f64 z) (/.f64 t y))) (-.f64 x (*.f64 (/.f64 1 t) (log1p.f64 (*.f64 y (+.f64 z (*.f64 1/2 (*.f64 z z)))))))))
(if (<=.f64 y -6986707660136147/590295810358705651712) (-.f64 x (/.f64 1 (+.f64 (*.f64 t 1/2) (/.f64 t (*.f64 y z))))) (if (<=.f64 y 200000000000000009529458688) (-.f64 x (/.f64 (expm1.f64 z) (/.f64 t y))) (-.f64 x (*.f64 (/.f64 1 t) (log1p.f64 (*.f64 y (+.f64 z (*.f64 1/2 (*.f64 z z)))))))))
(if (<=.f64 y -6986707660136147/590295810358705651712) (+.f64 x (/.f64 -1 (+.f64 (*.f64 t 1/2) (/.f64 t (*.f64 y z))))) (if (<=.f64 y 200000000000000009529458688) (-.f64 x (/.f64 (expm1.f64 z) (/.f64 t y))) (+.f64 x (*.f64 (log1p.f64 (*.f64 y (+.f64 z (*.f64 1/2 (*.f64 z z))))) (/.f64 -1 t)))))
(if (<=.f64 y -6986707660136147/590295810358705651712) (-.f64 x (/.f64 1 (+.f64 (/.f64 t (*.f64 z y)) (*.f64 1/2 t)))) (if (<=.f64 y 2250000000000000021659457796702208) (-.f64 x (/.f64 (expm1.f64 z) (/.f64 t y))) (-.f64 x (/.f64 (log1p.f64 (*.f64 y (+.f64 z (*.f64 1/2 (*.f64 z z))))) t))))
(if (<=.f64 y -6986707660136147/590295810358705651712) (-.f64 x (/.f64 1 (+.f64 (*.f64 t 1/2) (/.f64 t (*.f64 y z))))) (if (<=.f64 y 2250000000000000021659457796702208) (-.f64 x (/.f64 (expm1.f64 z) (/.f64 t y))) (-.f64 x (/.f64 (log1p.f64 (*.f64 y (+.f64 z (*.f64 1/2 (*.f64 z z))))) t))))
(if (<=.f64 y -6986707660136147/590295810358705651712) (+.f64 x (/.f64 -1 (+.f64 (*.f64 t 1/2) (/.f64 t (*.f64 y z))))) (if (<=.f64 y 2250000000000000021659457796702208) (-.f64 x (/.f64 (expm1.f64 z) (/.f64 t y))) (-.f64 x (/.f64 (log1p.f64 (*.f64 y (+.f64 z (*.f64 1/2 (*.f64 z z))))) t))))
(if (<=.f64 y -6986707660136147/590295810358705651712) (-.f64 x (/.f64 1 (+.f64 (/.f64 t (*.f64 z y)) (*.f64 1/2 t)))) (if (<=.f64 y 5958657008933507/55213970774324510299478046898216203619608871777363092441300193790394368) (-.f64 x (*.f64 y (/.f64 (expm1.f64 z) t))) (-.f64 x (/.f64 1 (+.f64 (/.f64 t (*.f64 (expm1.f64 z) y)) (*.f64 1/2 t))))))
(if (<=.f64 y -6986707660136147/590295810358705651712) (-.f64 x (/.f64 1 (+.f64 (*.f64 t 1/2) (/.f64 t (*.f64 y z))))) (if (<=.f64 y 5958657008933507/55213970774324510299478046898216203619608871777363092441300193790394368) (-.f64 x (*.f64 y (/.f64 (expm1.f64 z) t))) (-.f64 x (/.f64 1 (+.f64 (*.f64 t 1/2) (/.f64 t (*.f64 y (expm1.f64 z))))))))
(if (<=.f64 y -6986707660136147/590295810358705651712) (+.f64 x (/.f64 -1 (+.f64 (*.f64 t 1/2) (/.f64 t (*.f64 y z))))) (if (<=.f64 y 5958657008933507/55213970774324510299478046898216203619608871777363092441300193790394368) (-.f64 x (*.f64 y (/.f64 (expm1.f64 z) t))) (+.f64 x (/.f64 -1 (+.f64 (*.f64 t 1/2) (/.f64 t (*.f64 y (expm1.f64 z))))))))
(if (<=.f64 y -6986707660136147/590295810358705651712) (-.f64 x (/.f64 1 (+.f64 (/.f64 t (*.f64 z y)) (*.f64 1/2 t)))) (-.f64 x (*.f64 y (/.f64 (expm1.f64 z) t))))
(if (<=.f64 y -6986707660136147/590295810358705651712) (-.f64 x (/.f64 1 (+.f64 (*.f64 t 1/2) (/.f64 t (*.f64 y z))))) (-.f64 x (*.f64 y (/.f64 (expm1.f64 z) t))))
(if (<=.f64 y -6986707660136147/590295810358705651712) (+.f64 x (/.f64 -1 (+.f64 (*.f64 t 1/2) (/.f64 t (*.f64 y z))))) (-.f64 x (*.f64 y (/.f64 (expm1.f64 z) t))))
(if (<=.f64 y -6986707660136147/590295810358705651712) (-.f64 x (/.f64 1 (+.f64 (/.f64 t (*.f64 z y)) (*.f64 1/2 t)))) (if (<=.f64 y 210000000000000008287944704) (-.f64 x (/.f64 (expm1.f64 z) (/.f64 t y))) (-.f64 x (/.f64 1 (+.f64 (+.f64 (*.f64 -1/2 (/.f64 t y)) (/.f64 t (*.f64 y z))) (*.f64 1/2 t))))))
(if (<=.f64 y -6986707660136147/590295810358705651712) (-.f64 x (/.f64 1 (+.f64 (*.f64 t 1/2) (/.f64 t (*.f64 y z))))) (if (<=.f64 y 210000000000000008287944704) (-.f64 x (/.f64 (expm1.f64 z) (/.f64 t y))) (-.f64 x (/.f64 1 (+.f64 (*.f64 t 1/2) (+.f64 (*.f64 (/.f64 t y) -1/2) (/.f64 t (*.f64 y z))))))))
(if (<=.f64 y -6986707660136147/590295810358705651712) (+.f64 x (/.f64 -1 (+.f64 (*.f64 t 1/2) (/.f64 t (*.f64 y z))))) (if (<=.f64 y 210000000000000008287944704) (-.f64 x (/.f64 (expm1.f64 z) (/.f64 t y))) (+.f64 x (/.f64 -1 (+.f64 (*.f64 t 1/2) (+.f64 (*.f64 (/.f64 t y) -1/2) (/.f64 t (*.f64 y z))))))))
(if (<=.f64 z -8492383200152452/26959946667150639794667015087019630673637144422540572481103610249216) (-.f64 x (/.f64 1 (+.f64 (+.f64 (*.f64 -1/2 (/.f64 t y)) (/.f64 t (*.f64 y z))) (*.f64 1/2 t)))) (if (<=.f64 z 803673379426018432/179769313486231590772930519078902473361797697894230657273430081157732675805500963132708477322407536021120113879871393357658789768814416622492847430639474124377767893424865485276302219601246094119453082952085005768838150682342462881473913110540827237163350510684586298239947245938479716304835356329624224137216) (-.f64 x (/.f64 y (/.f64 t z))) (-.f64 x (/.f64 1 (+.f64 (/.f64 t (*.f64 z y)) (*.f64 1/2 t))))))
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(if (<=.f64 z -2123095800038113/6739986666787659948666753771754907668409286105635143120275902562304) (+.f64 x (/.f64 -1 (+.f64 (*.f64 t 1/2) (+.f64 (*.f64 (/.f64 t y) -1/2) (/.f64 t (*.f64 y z)))))) (if (<=.f64 z 6278698276765769/1404447761611184302913519680303925573139044514798677009948672509044786529730476274474284979081308875165000889686495260606709295068862629863225370551870891596701311667381761603721111090634735110308227210563164107569048052205800491261514946176100212790338675864723330454999587858894372783631526221325189251072) (-.f64 x (/.f64 y (/.f64 t z))) (+.f64 x (/.f64 -1 (+.f64 (*.f64 t 1/2) (/.f64 t (*.f64 y z)))))))
(if (<=.f64 z -2000000000000000000) x (if (<=.f64 z 803673379426018432/179769313486231590772930519078902473361797697894230657273430081157732675805500963132708477322407536021120113879871393357658789768814416622492847430639474124377767893424865485276302219601246094119453082952085005768838150682342462881473913110540827237163350510684586298239947245938479716304835356329624224137216) (-.f64 x (/.f64 y (/.f64 t z))) (-.f64 x (/.f64 1 (+.f64 (/.f64 t (*.f64 z y)) (*.f64 1/2 t))))))
(if (<=.f64 z -2000000000000000000) x (if (<=.f64 z 6278698276765769/1404447761611184302913519680303925573139044514798677009948672509044786529730476274474284979081308875165000889686495260606709295068862629863225370551870891596701311667381761603721111090634735110308227210563164107569048052205800491261514946176100212790338675864723330454999587858894372783631526221325189251072) (-.f64 x (/.f64 y (/.f64 t z))) (-.f64 x (/.f64 1 (+.f64 (*.f64 t 1/2) (/.f64 t (*.f64 y z)))))))
(if (<=.f64 z -2000000000000000000) x (if (<=.f64 z 6278698276765769/1404447761611184302913519680303925573139044514798677009948672509044786529730476274474284979081308875165000889686495260606709295068862629863225370551870891596701311667381761603721111090634735110308227210563164107569048052205800491261514946176100212790338675864723330454999587858894372783631526221325189251072) (-.f64 x (/.f64 y (/.f64 t z))) (+.f64 x (/.f64 -1 (+.f64 (*.f64 t 1/2) (/.f64 t (*.f64 y z)))))))
(if (<=.f64 z -2000000000000000000) x (-.f64 x (/.f64 y (/.f64 t z))))
(if (<=.f64 z -2000000000000000000) x (-.f64 x (/.f64 z (/.f64 t y))))
(if (<=.f64 x -211516626940508192/19595533242629369747791401605606558418088927130487463844933662202465281465266200982457647235235528838735010358900495684567911298014908298340170885513171109743249504533143507682501017145381579984990109696) x (if (<=.f64 x 3206349976941985/39916806190694396233127454260736771321349025208709150830050944848744237837379281315699159309852714021786848936883849904879448759767871873214783435965696628406400113459021713530350754428887259743653067134890878479866616209102417407777777105368960883150142418137515120832847169904606880198557696) (*.f64 y (/.f64 (neg.f64 z) t)) (if (<=.f64 x 5953147504989829/2026130648867672343023636652192949780767796011837127392576004555513014068072709055859231957493703024554784124321924213467966382361040905912054138102594708831572842677442143322112) x (if (<=.f64 x 8902400300436889/372141426839350727961253789638658321589064376671906846864122981980487315514059736743009817965446945567110411062408283101969716033850703872) (/.f64 (*.f64 y z) (neg.f64 t)) x))))
(if (<=.f64 x -6609894591890881/612360413832167804618481300175204950565278972827733245154176943827040045789568780701801476101110276210469073715640490142747228062965884323130340172286597179476547016660734615078156785793174374530940928) x (if (<=.f64 x 3206349976941985/39916806190694396233127454260736771321349025208709150830050944848744237837379281315699159309852714021786848936883849904879448759767871873214783435965696628406400113459021713530350754428887259743653067134890878479866616209102417407777777105368960883150142418137515120832847169904606880198557696) (*.f64 y (/.f64 (neg.f64 z) t)) (if (<=.f64 x 5953147504989829/2026130648867672343023636652192949780767796011837127392576004555513014068072709055859231957493703024554784124321924213467966382361040905912054138102594708831572842677442143322112) x (if (<=.f64 x 8902400300436889/372141426839350727961253789638658321589064376671906846864122981980487315514059736743009817965446945567110411062408283101969716033850703872) (/.f64 (*.f64 y z) (neg.f64 t)) x))))
(if (<=.f64 x -6609894591890881/612360413832167804618481300175204950565278972827733245154176943827040045789568780701801476101110276210469073715640490142747228062965884323130340172286597179476547016660734615078156785793174374530940928) x (if (<=.f64 x 3206349976941985/39916806190694396233127454260736771321349025208709150830050944848744237837379281315699159309852714021786848936883849904879448759767871873214783435965696628406400113459021713530350754428887259743653067134890878479866616209102417407777777105368960883150142418137515120832847169904606880198557696) (neg.f64 (*.f64 (/.f64 z t) y)) (if (<=.f64 x 5953147504989829/2026130648867672343023636652192949780767796011837127392576004555513014068072709055859231957493703024554784124321924213467966382361040905912054138102594708831572842677442143322112) x (if (<=.f64 x 8902400300436889/372141426839350727961253789638658321589064376671906846864122981980487315514059736743009817965446945567110411062408283101969716033850703872) (/.f64 (*.f64 y z) (neg.f64 t)) x))))
(if (<=.f64 x -6609894591890881/612360413832167804618481300175204950565278972827733245154176943827040045789568780701801476101110276210469073715640490142747228062965884323130340172286597179476547016660734615078156785793174374530940928) x (if (<=.f64 x 3206349976941985/39916806190694396233127454260736771321349025208709150830050944848744237837379281315699159309852714021786848936883849904879448759767871873214783435965696628406400113459021713530350754428887259743653067134890878479866616209102417407777777105368960883150142418137515120832847169904606880198557696) (*.f64 (neg.f64 y) (/.f64 z t)) (if (<=.f64 x 5953147504989829/2026130648867672343023636652192949780767796011837127392576004555513014068072709055859231957493703024554784124321924213467966382361040905912054138102594708831572842677442143322112) x (if (<=.f64 x 8902400300436889/372141426839350727961253789638658321589064376671906846864122981980487315514059736743009817965446945567110411062408283101969716033850703872) (/.f64 (*.f64 y z) (neg.f64 t)) x))))
(if (<=.f64 x -8112115448836165/9979201547673599058281863565184192830337256302177287707512736212186059459344820328924789827463178505446712234220962476219862189941967968303695858991424157101600028364755428382587688607221814935913266783722719619966654052275604351944444276342240220787535604534378780208211792476151720049639424) x (if (<=.f64 x 3206349976941985/39916806190694396233127454260736771321349025208709150830050944848744237837379281315699159309852714021786848936883849904879448759767871873214783435965696628406400113459021713530350754428887259743653067134890878479866616209102417407777777105368960883150142418137515120832847169904606880198557696) (*.f64 z (/.f64 (neg.f64 y) t)) (if (<=.f64 x 5953147504989829/2026130648867672343023636652192949780767796011837127392576004555513014068072709055859231957493703024554784124321924213467966382361040905912054138102594708831572842677442143322112) x (if (<=.f64 x 8902400300436889/372141426839350727961253789638658321589064376671906846864122981980487315514059736743009817965446945567110411062408283101969716033850703872) (/.f64 (*.f64 y z) (neg.f64 t)) x))))
(if (<=.f64 x -211516626940508192/19595533242629369747791401605606558418088927130487463844933662202465281465266200982457647235235528838735010358900495684567911298014908298340170885513171109743249504533143507682501017145381579984990109696) x (if (<=.f64 x 3206349976941985/39916806190694396233127454260736771321349025208709150830050944848744237837379281315699159309852714021786848936883849904879448759767871873214783435965696628406400113459021713530350754428887259743653067134890878479866616209102417407777777105368960883150142418137515120832847169904606880198557696) (/.f64 (*.f64 y z) (neg.f64 t)) (if (<=.f64 x 5953147504989829/2026130648867672343023636652192949780767796011837127392576004555513014068072709055859231957493703024554784124321924213467966382361040905912054138102594708831572842677442143322112) x (if (<=.f64 x 8902400300436889/372141426839350727961253789638658321589064376671906846864122981980487315514059736743009817965446945567110411062408283101969716033850703872) (/.f64 (*.f64 y z) (neg.f64 t)) x))))
(if (<=.f64 x -6609894591890881/612360413832167804618481300175204950565278972827733245154176943827040045789568780701801476101110276210469073715640490142747228062965884323130340172286597179476547016660734615078156785793174374530940928) x (if (<=.f64 x 3206349976941985/39916806190694396233127454260736771321349025208709150830050944848744237837379281315699159309852714021786848936883849904879448759767871873214783435965696628406400113459021713530350754428887259743653067134890878479866616209102417407777777105368960883150142418137515120832847169904606880198557696) (/.f64 (*.f64 y z) (neg.f64 t)) (if (<=.f64 x 5953147504989829/2026130648867672343023636652192949780767796011837127392576004555513014068072709055859231957493703024554784124321924213467966382361040905912054138102594708831572842677442143322112) x (if (<=.f64 x 8902400300436889/372141426839350727961253789638658321589064376671906846864122981980487315514059736743009817965446945567110411062408283101969716033850703872) (/.f64 (*.f64 y z) (neg.f64 t)) x))))
x
Compiler

Compiled 488 to 299 computations (38.7% saved)

soundness762.0ms (3%)

Algorithm
3×egg-herbie
Rules
814×fma-def_binary64
735×div-sub_binary64
735×div-sub_binary64
611×fma-def_binary64
611×fma-def_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
01320
12318
24817
39617
420614
542714
672714
791514
8103214
9124614
10175614
11337014
12432614
13494914
14574814
15651714
16707214
17761414
18791214
01320
12318
24817
39617
420614
542714
672714
791514
8103214
9124614
10175614
11337014
12432614
13494914
14574814
15651714
16707214
17761414
18791214
01731745
15241686
217311658
Stop Event
1×node limit
1×node limit
1×node limit
Compiler

Compiled 498 to 356 computations (28.5% saved)

end352.0ms (1.4%)

Compiler

Compiled 436 to 200 computations (54.1% saved)

Profiling

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