Details

Time bar (total: 14.7s)

analyze2.6s (17.9%)

Algorithm
search
Search
TrueOtherFalseIter
0%99.7%0.3%0
0%99.7%0.3%1
0%99.7%0.3%2
0%99.7%0.3%3
0%99.7%0.3%4
0%99.7%0.3%5
0%99.7%0.3%6
0%99.7%0.3%7
0%99.7%0.3%8
0%99.7%0.3%9
0%99.7%0.3%10
0%99.7%0.3%11
0%99.7%0.3%12
0.8%98.9%0.3%13
1.2%98.5%0.3%14
Compiler

Compiled 44 to 31 computations (29.5% saved)

sample2.1s (14%)

Results
1.8s8256×body128valid
208.0ms906×body128invalid
Compiler

Compiled 88 to 62 computations (29.5% saved)

preprocess53.0ms (0.4%)

Algorithm
egg-herbie
Rules
524×associate-+r+_binary64
524×associate-+l+_binary64
472×fma-def_binary64
435×associate-*l*_binary64
390×distribute-lft-in_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0182656
1508656
21160624
33497624
066
Stop Event
saturated
node limit
Calls
Call 1
Inputs
0
1
2
3
4
5
Outputs
0
1
2
3
4
5
Call 2
Inputs
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(+.f64 x (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 t 313060547623/100000000000) 55833770631/5000000000) t) z) t) a) t) b)) (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 t 15234687407/1000000000) t) 314690115749/10000000000) t) 119400905721/10000000000) t) 607771387771/1000000000000)))
(+.f64 x (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 a 313060547623/100000000000) 55833770631/5000000000) a) t) a) z) a) b)) (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 a 15234687407/1000000000) a) 314690115749/10000000000) a) 119400905721/10000000000) a) 607771387771/1000000000000)))
(+.f64 x (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 b 313060547623/100000000000) 55833770631/5000000000) b) t) b) a) b) z)) (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 b 15234687407/1000000000) b) 314690115749/10000000000) b) 119400905721/10000000000) b) 607771387771/1000000000000)))
(+.f64 x (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 z 313060547623/100000000000) 55833770631/5000000000) z) a) z) t) z) b)) (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 z 15234687407/1000000000) z) 314690115749/10000000000) z) 119400905721/10000000000) z) 607771387771/1000000000000)))
(+.f64 x (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 z 313060547623/100000000000) 55833770631/5000000000) z) b) z) a) z) t)) (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 z 15234687407/1000000000) z) 314690115749/10000000000) z) 119400905721/10000000000) z) 607771387771/1000000000000)))
(+.f64 x (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 z 313060547623/100000000000) 55833770631/5000000000) z) t) z) b) z) a)) (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 z 15234687407/1000000000) z) 314690115749/10000000000) z) 119400905721/10000000000) z) 607771387771/1000000000000)))
Outputs
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(+.f64 x (/.f64 (*.f64 y (fma.f64 (fma.f64 (fma.f64 (fma.f64 z 313060547623/100000000000 55833770631/5000000000) z t) z a) z b)) (fma.f64 (fma.f64 (fma.f64 (+.f64 z 15234687407/1000000000) z 314690115749/10000000000) z 119400905721/10000000000) z 607771387771/1000000000000)))
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(fma.f64 (/.f64 a (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000)) (fma.f64 z (fma.f64 z (fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t) y) b) x)
(+.f64 x (/.f64 (*.f64 b (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 z 313060547623/100000000000) 55833770631/5000000000) z) t) z) a) z) y)) (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 z 15234687407/1000000000) z) 314690115749/10000000000) z) 119400905721/10000000000) z) 607771387771/1000000000000)))
(+.f64 x (/.f64 (*.f64 b (fma.f64 (fma.f64 (fma.f64 (fma.f64 z 313060547623/100000000000 55833770631/5000000000) z t) z a) z y)) (fma.f64 (fma.f64 (fma.f64 (+.f64 z 15234687407/1000000000) z 314690115749/10000000000) z 119400905721/10000000000) z 607771387771/1000000000000)))
(+.f64 x (*.f64 (/.f64 b (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000)) (fma.f64 z (fma.f64 z (fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t) a) y)))
(fma.f64 (/.f64 b (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000)) (fma.f64 z (fma.f64 z (fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t) a) y) x)
(+.f64 x (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 t 313060547623/100000000000) 55833770631/5000000000) t) z) t) a) t) b)) (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 t 15234687407/1000000000) t) 314690115749/10000000000) t) 119400905721/10000000000) t) 607771387771/1000000000000)))
(+.f64 x (/.f64 y (/.f64 (fma.f64 (fma.f64 (fma.f64 (+.f64 t 15234687407/1000000000) t 314690115749/10000000000) t 119400905721/10000000000) t 607771387771/1000000000000) (fma.f64 (fma.f64 (fma.f64 (fma.f64 t 313060547623/100000000000 55833770631/5000000000) t z) t a) t b))))
(+.f64 x (/.f64 y (/.f64 (fma.f64 t (fma.f64 t (fma.f64 t (+.f64 t 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000) (fma.f64 t (fma.f64 t (fma.f64 t (fma.f64 313060547623/100000000000 t 55833770631/5000000000) z) a) b))))
(fma.f64 (/.f64 y (fma.f64 t (fma.f64 t (fma.f64 t (+.f64 t 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000)) (fma.f64 t (fma.f64 t (fma.f64 t (fma.f64 313060547623/100000000000 t 55833770631/5000000000) z) a) b) x)
(+.f64 x (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 a 313060547623/100000000000) 55833770631/5000000000) a) t) a) z) a) b)) (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 a 15234687407/1000000000) a) 314690115749/10000000000) a) 119400905721/10000000000) a) 607771387771/1000000000000)))
(+.f64 x (/.f64 y (/.f64 (fma.f64 (fma.f64 (fma.f64 (+.f64 a 15234687407/1000000000) a 314690115749/10000000000) a 119400905721/10000000000) a 607771387771/1000000000000) (fma.f64 (fma.f64 (fma.f64 (fma.f64 a 313060547623/100000000000 55833770631/5000000000) a t) a z) a b))))
(+.f64 x (*.f64 (/.f64 y (fma.f64 a (fma.f64 a (fma.f64 a (+.f64 a 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000)) (fma.f64 a (fma.f64 a (fma.f64 a (fma.f64 313060547623/100000000000 a 55833770631/5000000000) t) z) b)))
(fma.f64 (/.f64 y (fma.f64 a (fma.f64 a (fma.f64 a (+.f64 a 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000)) (fma.f64 a (fma.f64 a (fma.f64 a (fma.f64 313060547623/100000000000 a 55833770631/5000000000) t) z) b) x)
(+.f64 x (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 b 313060547623/100000000000) 55833770631/5000000000) b) t) b) a) b) z)) (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 b 15234687407/1000000000) b) 314690115749/10000000000) b) 119400905721/10000000000) b) 607771387771/1000000000000)))
(+.f64 x (/.f64 (*.f64 y (fma.f64 (fma.f64 (fma.f64 (fma.f64 b 313060547623/100000000000 55833770631/5000000000) b t) b a) b z)) (fma.f64 (fma.f64 (fma.f64 (+.f64 b 15234687407/1000000000) b 314690115749/10000000000) b 119400905721/10000000000) b 607771387771/1000000000000)))
(+.f64 x (*.f64 (/.f64 y (fma.f64 b (fma.f64 b (fma.f64 b (+.f64 b 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000)) (fma.f64 b (fma.f64 b (fma.f64 b (fma.f64 313060547623/100000000000 b 55833770631/5000000000) t) a) z)))
(fma.f64 (/.f64 y (fma.f64 b (fma.f64 b (fma.f64 b (+.f64 b 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000)) (fma.f64 b (fma.f64 b (fma.f64 b (fma.f64 313060547623/100000000000 b 55833770631/5000000000) t) a) z) x)
(+.f64 x (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 z 313060547623/100000000000) 55833770631/5000000000) z) a) z) t) z) b)) (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 z 15234687407/1000000000) z) 314690115749/10000000000) z) 119400905721/10000000000) z) 607771387771/1000000000000)))
(+.f64 x (/.f64 (*.f64 y (fma.f64 (fma.f64 (fma.f64 (fma.f64 z 313060547623/100000000000 55833770631/5000000000) z a) z t) z b)) (fma.f64 (fma.f64 (fma.f64 (+.f64 z 15234687407/1000000000) z 314690115749/10000000000) z 119400905721/10000000000) z 607771387771/1000000000000)))
(+.f64 x (*.f64 (/.f64 y (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000)) (fma.f64 z (fma.f64 z (fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) a) t) b)))
(fma.f64 (/.f64 y (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000)) (fma.f64 z (fma.f64 z (fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) a) t) b) x)
(+.f64 x (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 z 313060547623/100000000000) 55833770631/5000000000) z) b) z) a) z) t)) (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 z 15234687407/1000000000) z) 314690115749/10000000000) z) 119400905721/10000000000) z) 607771387771/1000000000000)))
(+.f64 x (/.f64 y (/.f64 (fma.f64 (fma.f64 (fma.f64 (+.f64 z 15234687407/1000000000) z 314690115749/10000000000) z 119400905721/10000000000) z 607771387771/1000000000000) (fma.f64 (fma.f64 (fma.f64 (fma.f64 z 313060547623/100000000000 55833770631/5000000000) z b) z a) z t))))
(+.f64 x (*.f64 (/.f64 y (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000)) (fma.f64 z (fma.f64 z (fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) b) a) t)))
(fma.f64 (/.f64 y (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000)) (fma.f64 z (fma.f64 z (fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) b) a) t) x)
(+.f64 x (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 z 313060547623/100000000000) 55833770631/5000000000) z) t) z) b) z) a)) (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 z 15234687407/1000000000) z) 314690115749/10000000000) z) 119400905721/10000000000) z) 607771387771/1000000000000)))
(+.f64 x (/.f64 (*.f64 y (fma.f64 (fma.f64 (fma.f64 (fma.f64 z 313060547623/100000000000 55833770631/5000000000) z t) z b) z a)) (fma.f64 (fma.f64 (fma.f64 (+.f64 z 15234687407/1000000000) z 314690115749/10000000000) z 119400905721/10000000000) z 607771387771/1000000000000)))
(+.f64 x (*.f64 (/.f64 y (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000)) (fma.f64 z (fma.f64 z (fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t) b) a)))
(fma.f64 (/.f64 y (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000)) (fma.f64 z (fma.f64 z (fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t) b) a) x)
Compiler

Compiled 43 to 30 computations (30.2% saved)

simplify31.0ms (0.2%)

Algorithm
egg-herbie
Rules
704×distribute-rgt-in_binary64
703×distribute-lft-in_binary64
676×fma-def_binary64
308×associate-*l*_binary64
236×associate-+l+_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03141
16341
213439
340239
4106739
5316439
6488939
Stop Event
node limit
Counts
1 → 2
Calls
Call 1
Inputs
(+.f64 x (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 z 313060547623/100000000000) 55833770631/5000000000) z) t) z) a) z) b)) (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 z 15234687407/1000000000) z) 314690115749/10000000000) z) 119400905721/10000000000) z) 607771387771/1000000000000)))
Outputs
(+.f64 x (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 z 313060547623/100000000000) 55833770631/5000000000) z) t) z) a) z) b)) (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 z 15234687407/1000000000) z) 314690115749/10000000000) z) 119400905721/10000000000) z) 607771387771/1000000000000)))
(+.f64 x (/.f64 y (/.f64 (fma.f64 (fma.f64 (fma.f64 (+.f64 z 15234687407/1000000000) z 314690115749/10000000000) z 119400905721/10000000000) z 607771387771/1000000000000) (fma.f64 (fma.f64 (fma.f64 (fma.f64 z 313060547623/100000000000 55833770631/5000000000) z t) z a) z b))))
(+.f64 x (*.f64 (/.f64 y (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000)) (fma.f64 z (fma.f64 z (fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t) a) b)))
(fma.f64 (/.f64 y (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000)) (fma.f64 z (fma.f64 z (fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t) a) b) x)
(fma.f64 (fma.f64 z (fma.f64 z (fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t) a) b) (/.f64 y (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000)) x)
(fma.f64 y (/.f64 (fma.f64 z (fma.f64 z (fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t) a) b) (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000)) x)

prune5.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New022
Fresh011
Picked000
Done000
Total033
Error
29.1b
Counts
3 → 2
Alt Table
StatusErrorProgram
30.4b
(+.f64 x (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 z 313060547623/100000000000) 55833770631/5000000000) z) t) z) a) z) b)) (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 z 15234687407/1000000000) z) 314690115749/10000000000) z) 119400905721/10000000000) z) 607771387771/1000000000000)))
29.2b
(fma.f64 y (/.f64 (fma.f64 z (fma.f64 z (fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t) a) b) (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000)) x)
Compiler

Compiled 228 to 150 computations (34.2% saved)

localize22.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.1b
(fma.f64 z (fma.f64 z (fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t) a) b)
0.1b
(fma.f64 y (/.f64 (fma.f64 z (fma.f64 z (fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t) a) b) (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000)) x)
0.1b
(fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t)
28.3b
(/.f64 (fma.f64 z (fma.f64 z (fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t) a) b) (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000))

series46.0ms (0.3%)

Counts
4 → 192
Calls

48 calls:

TimeVariablePointExpression
2.0ms
a
@-inf
(/.f64 (fma.f64 z (fma.f64 z (fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t) a) b) (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000))
2.0ms
t
@0
(/.f64 (fma.f64 z (fma.f64 z (fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t) a) b) (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000))
2.0ms
a
@inf
(fma.f64 y (/.f64 (fma.f64 z (fma.f64 z (fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t) a) b) (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000)) x)
2.0ms
a
@0
(/.f64 (fma.f64 z (fma.f64 z (fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t) a) b) (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000))
2.0ms
y
@0
(fma.f64 y (/.f64 (fma.f64 z (fma.f64 z (fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t) a) b) (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000)) x)

rewrite55.0ms (0.4%)

Algorithm
batch-egg-rewrite
Rules
244×add-sqr-sqrt_binary64
231×*-un-lft-identity_binary64
231×pow1_binary64
228×add-exp-log_binary64
228×add-log-exp_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
023100
1485100
Stop Event
node limit
Counts
4 → 80
Calls
Call 1
Inputs
(/.f64 (fma.f64 z (fma.f64 z (fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t) a) b) (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000))
(fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t)
(fma.f64 y (/.f64 (fma.f64 z (fma.f64 z (fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t) a) b) (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000)) x)
(fma.f64 z (fma.f64 z (fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t) a) b)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 z (fma.f64 z (fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t) a) b) (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 z (fma.f64 z (fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t) a) b) (/.f64 1 (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (fma.f64 z (fma.f64 z (fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t) a) b) (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 (fma.f64 z (fma.f64 z (fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t) a) b) (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000)) 2)) (cbrt.f64 (/.f64 (fma.f64 z (fma.f64 z (fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t) a) b) (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (fma.f64 z (fma.f64 z (fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t) a) b) (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000))) (sqrt.f64 (/.f64 (fma.f64 z (fma.f64 z (fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t) a) b) (fma.f64 z 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119400905721/10000000000) 607771387771/1000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000)) 2)) (/.f64 (fma.f64 z (fma.f64 z (fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t) a) b) (cbrt.f64 (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 z (fma.f64 z (fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t) a) b)) 2) (pow.f64 (cbrt.f64 (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000)) 2)) (cbrt.f64 (/.f64 (fma.f64 z (fma.f64 z (fma.f64 z (fma.f64 z 313060547623/100000000000 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(fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t) a) b) (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (fma.f64 z (fma.f64 z (fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t) a) b) (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (fma.f64 z (fma.f64 z (fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t) a) b) (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (fma.f64 z (fma.f64 z (fma.f64 z (fma.f64 z 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a) b) 3) (pow.f64 (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (fma.f64 z (fma.f64 z (fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t) a) b) (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 z (fma.f64 z (fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t) a) b) (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (fma.f64 z (fma.f64 z (fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t) a) b) (fma.f64 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000)) t)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t)) 2) (cbrt.f64 (fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t)) (sqrt.f64 (fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000)) 3) (pow.f64 t 3)) (+.f64 (*.f64 (*.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000)) (*.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000))) (-.f64 (*.f64 t t) (*.f64 (*.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000)) t))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y (/.f64 (fma.f64 z (fma.f64 z (fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t) a) b) (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000))) x)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 y (/.f64 (fma.f64 z (fma.f64 z (fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t) a) b) (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000)) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 y (/.f64 (fma.f64 z (fma.f64 z (fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t) a) b) (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000)) x))))) 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 z (fma.f64 z (fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t) a)) b)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 z (fma.f64 z (fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t) a) b))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 z (fma.f64 z (fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t) a) b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 z (fma.f64 z (fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t) a) b)) 2) (cbrt.f64 (fma.f64 z (fma.f64 z (fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t) a) b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 z (fma.f64 z (fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t) a) b)) (sqrt.f64 (fma.f64 z (fma.f64 z (fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t) a) b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 z (fma.f64 z (fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t) a)) 3) (pow.f64 b 3)) (+.f64 (*.f64 (*.f64 z (fma.f64 z (fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t) a)) (*.f64 z (fma.f64 z (fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t) a))) (-.f64 (*.f64 b b) (*.f64 (*.f64 z (fma.f64 z (fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t) a)) b))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 z (fma.f64 z (fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t) a) b) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 z (fma.f64 z (fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t) a) b) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 z (fma.f64 z (fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t) a) b)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 z (fma.f64 z (fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t) a) b)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 z (fma.f64 z (fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t) a) b) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 z (fma.f64 z (fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t) a) b)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 z (fma.f64 z (fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t) a) b))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 z (fma.f64 z (fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t) a) b) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 z (fma.f64 z (fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t) a) b)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 z (fma.f64 z (fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t) a) b)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 z (fma.f64 z (fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t) a) b)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 z (fma.f64 z (fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t) a) b)))))))

simplify152.0ms (1%)

Algorithm
egg-herbie
Rules
945×fma-def_binary64
242×distribute-rgt-in_binary64
232×associate-*l*_binary64
215×distribute-lft-in_binary64
214×associate-*r*_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02318654
16827171
218896225
Stop Event
node limit
Counts
272 → 198
Calls
Call 1
Inputs
(*.f64 1000000000000/607771387771 b)
(+.f64 (*.f64 (-.f64 (*.f64 1000000000000/607771387771 a) (*.f64 11940090572100000000000000/369386059793087248348441 b)) z) (*.f64 1000000000000/607771387771 b))
(+.f64 (*.f64 (-.f64 (*.f64 1000000000000/607771387771 a) (*.f64 11940090572100000000000000/369386059793087248348441 b)) z) (+.f64 (*.f64 1000000000000/607771387771 b) (*.f64 (pow.f64 z 2) (-.f64 (*.f64 1000000000000/607771387771 t) (+.f64 (*.f64 31469011574900000000000000/369386059793087248348441 b) (*.f64 11940090572100/607771387771 (-.f64 (*.f64 1000000000000/607771387771 a) (*.f64 11940090572100000000000000/369386059793087248348441 b))))))))
(+.f64 (*.f64 (-.f64 11166754126200/607771387771 (+.f64 (*.f64 31469011574900/607771387771 (-.f64 (*.f64 1000000000000/607771387771 a) (*.f64 11940090572100000000000000/369386059793087248348441 b))) (+.f64 (*.f64 15234687407000000000000000/369386059793087248348441 b) (*.f64 11940090572100/607771387771 (-.f64 (*.f64 1000000000000/607771387771 t) (+.f64 (*.f64 31469011574900000000000000/369386059793087248348441 b) (*.f64 11940090572100/607771387771 (-.f64 (*.f64 1000000000000/607771387771 a) (*.f64 11940090572100000000000000/369386059793087248348441 b))))))))) (pow.f64 z 3)) (+.f64 (*.f64 (-.f64 (*.f64 1000000000000/607771387771 a) (*.f64 11940090572100000000000000/369386059793087248348441 b)) z) (+.f64 (*.f64 1000000000000/607771387771 b) (*.f64 (pow.f64 z 2) (-.f64 (*.f64 1000000000000/607771387771 t) (+.f64 (*.f64 31469011574900000000000000/369386059793087248348441 b) (*.f64 11940090572100/607771387771 (-.f64 (*.f64 1000000000000/607771387771 a) (*.f64 11940090572100000000000000/369386059793087248348441 b)))))))))
313060547623/100000000000
(-.f64 313060547623/100000000000 (*.f64 3652704169880641883561/100000000000000000000 (/.f64 1 z)))
(-.f64 (+.f64 313060547623/100000000000 (+.f64 (*.f64 45796100221584283915100827016327/100000000000000000000000000000 (/.f64 1 (pow.f64 z 2))) (/.f64 t (pow.f64 z 2)))) (*.f64 3652704169880641883561/100000000000000000000 (/.f64 1 z)))
(-.f64 (+.f64 313060547623/100000000000 (+.f64 (*.f64 45796100221584283915100827016327/100000000000000000000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (/.f64 t (pow.f64 z 2)) (+.f64 (*.f64 1112090185084895700201045470302189/1000000000000000000000000000000 (/.f64 1 (pow.f64 z 3))) (/.f64 a (pow.f64 z 3)))))) (+.f64 (*.f64 3652704169880641883561/100000000000000000000 (/.f64 1 z)) (*.f64 15234687407/1000000000 (/.f64 (+.f64 45796100221584283915100827016327/100000000000000000000000000000 t) (pow.f64 z 3)))))
313060547623/100000000000
(-.f64 313060547623/100000000000 (*.f64 3652704169880641883561/100000000000000000000 (/.f64 1 z)))
(-.f64 (+.f64 313060547623/100000000000 (+.f64 (*.f64 45796100221584283915100827016327/100000000000000000000000000000 (/.f64 1 (pow.f64 z 2))) (/.f64 t (pow.f64 z 2)))) (*.f64 3652704169880641883561/100000000000000000000 (/.f64 1 z)))
(-.f64 (+.f64 313060547623/100000000000 (+.f64 (*.f64 45796100221584283915100827016327/100000000000000000000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (/.f64 t (pow.f64 z 2)) (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 a) (+.f64 1112090185084895700201045470302189/1000000000000000000000000000000 (*.f64 -15234687407/1000000000 (+.f64 45796100221584283915100827016327/100000000000000000000000000000 t)))) (pow.f64 z 3)))))) (*.f64 3652704169880641883561/100000000000000000000 (/.f64 1 z)))
(/.f64 (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 55833770631/5000000000 (*.f64 313060547623/100000000000 z)) (pow.f64 z 2)) a) z) b) (+.f64 607771387771/1000000000000 (*.f64 (+.f64 119400905721/10000000000 (*.f64 z (+.f64 314690115749/10000000000 (*.f64 (+.f64 15234687407/1000000000 z) z)))) z)))
(+.f64 (/.f64 (*.f64 t (pow.f64 z 2)) (+.f64 607771387771/1000000000000 (*.f64 (+.f64 119400905721/10000000000 (*.f64 z (+.f64 314690115749/10000000000 (*.f64 (+.f64 15234687407/1000000000 z) z)))) z))) (+.f64 (/.f64 b (+.f64 607771387771/1000000000000 (*.f64 (+.f64 119400905721/10000000000 (*.f64 z (+.f64 314690115749/10000000000 (*.f64 (+.f64 15234687407/1000000000 z) z)))) z))) (/.f64 (*.f64 (+.f64 (*.f64 (+.f64 55833770631/5000000000 (*.f64 313060547623/100000000000 z)) (pow.f64 z 2)) a) z) (+.f64 607771387771/1000000000000 (*.f64 (+.f64 119400905721/10000000000 (*.f64 z (+.f64 314690115749/10000000000 (*.f64 (+.f64 15234687407/1000000000 z) z)))) z)))))
(+.f64 (/.f64 (*.f64 t (pow.f64 z 2)) (+.f64 607771387771/1000000000000 (*.f64 (+.f64 119400905721/10000000000 (*.f64 z (+.f64 314690115749/10000000000 (*.f64 (+.f64 15234687407/1000000000 z) z)))) z))) (+.f64 (/.f64 b (+.f64 607771387771/1000000000000 (*.f64 (+.f64 119400905721/10000000000 (*.f64 z (+.f64 314690115749/10000000000 (*.f64 (+.f64 15234687407/1000000000 z) z)))) z))) (/.f64 (*.f64 (+.f64 (*.f64 (+.f64 55833770631/5000000000 (*.f64 313060547623/100000000000 z)) (pow.f64 z 2)) a) z) (+.f64 607771387771/1000000000000 (*.f64 (+.f64 119400905721/10000000000 (*.f64 z (+.f64 314690115749/10000000000 (*.f64 (+.f64 15234687407/1000000000 z) z)))) z)))))
(+.f64 (/.f64 (*.f64 t (pow.f64 z 2)) (+.f64 607771387771/1000000000000 (*.f64 (+.f64 119400905721/10000000000 (*.f64 z (+.f64 314690115749/10000000000 (*.f64 (+.f64 15234687407/1000000000 z) z)))) z))) (+.f64 (/.f64 b (+.f64 607771387771/1000000000000 (*.f64 (+.f64 119400905721/10000000000 (*.f64 z (+.f64 314690115749/10000000000 (*.f64 (+.f64 15234687407/1000000000 z) z)))) z))) (/.f64 (*.f64 (+.f64 (*.f64 (+.f64 55833770631/5000000000 (*.f64 313060547623/100000000000 z)) (pow.f64 z 2)) a) z) (+.f64 607771387771/1000000000000 (*.f64 (+.f64 119400905721/10000000000 (*.f64 z (+.f64 314690115749/10000000000 (*.f64 (+.f64 15234687407/1000000000 z) z)))) z)))))
(/.f64 (*.f64 t (pow.f64 z 2)) (+.f64 607771387771/1000000000000 (*.f64 (+.f64 119400905721/10000000000 (*.f64 z (+.f64 314690115749/10000000000 (*.f64 (+.f64 15234687407/1000000000 z) z)))) z)))
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(+.f64 (*.f64 (+.f64 (*.f64 z (+.f64 (*.f64 (+.f64 (*.f64 313060547623/100000000000 z) 55833770631/5000000000) z) t)) a) z) b)
b
(+.f64 (*.f64 (+.f64 (*.f64 z (+.f64 (*.f64 (+.f64 (*.f64 313060547623/100000000000 z) 55833770631/5000000000) z) t)) a) z) b)
(+.f64 (*.f64 (+.f64 (*.f64 z (+.f64 (*.f64 (+.f64 (*.f64 313060547623/100000000000 z) 55833770631/5000000000) z) t)) a) z) b)
(+.f64 (*.f64 (+.f64 (*.f64 z (+.f64 (*.f64 (+.f64 (*.f64 313060547623/100000000000 z) 55833770631/5000000000) z) t)) a) z) b)
Outputs
(*.f64 1000000000000/607771387771 b)
(+.f64 (*.f64 (-.f64 (*.f64 1000000000000/607771387771 a) (*.f64 11940090572100000000000000/369386059793087248348441 b)) z) (*.f64 1000000000000/607771387771 b))
(fma.f64 (+.f64 (*.f64 1000000000000/607771387771 a) (*.f64 -11940090572100000000000000/369386059793087248348441 b)) z (*.f64 1000000000000/607771387771 b))
(fma.f64 (fma.f64 1000000000000/607771387771 a (*.f64 b -11940090572100000000000000/369386059793087248348441)) z (*.f64 1000000000000/607771387771 b))
(+.f64 (*.f64 (-.f64 (*.f64 1000000000000/607771387771 a) (*.f64 11940090572100000000000000/369386059793087248348441 b)) z) (+.f64 (*.f64 1000000000000/607771387771 b) (*.f64 (pow.f64 z 2) (-.f64 (*.f64 1000000000000/607771387771 t) (+.f64 (*.f64 31469011574900000000000000/369386059793087248348441 b) (*.f64 11940090572100/607771387771 (-.f64 (*.f64 1000000000000/607771387771 a) (*.f64 11940090572100000000000000/369386059793087248348441 b))))))))
(fma.f64 (+.f64 (*.f64 1000000000000/607771387771 a) (*.f64 -11940090572100000000000000/369386059793087248348441 b)) z (fma.f64 1000000000000/607771387771 b (*.f64 (*.f64 z z) (-.f64 (*.f64 1000000000000/607771387771 t) (fma.f64 31469011574900000000000000/369386059793087248348441 b (*.f64 (+.f64 (*.f64 1000000000000/607771387771 a) (*.f64 -11940090572100000000000000/369386059793087248348441 b)) 11940090572100/607771387771))))))
(fma.f64 (fma.f64 1000000000000/607771387771 a (*.f64 b -11940090572100000000000000/369386059793087248348441)) z (fma.f64 (*.f64 z z) (-.f64 (*.f64 1000000000000/607771387771 t) (fma.f64 b 31469011574900000000000000/369386059793087248348441 (*.f64 (fma.f64 1000000000000/607771387771 a (*.f64 b -11940090572100000000000000/369386059793087248348441)) 11940090572100/607771387771))) (*.f64 1000000000000/607771387771 b)))
(fma.f64 1000000000000/607771387771 b (*.f64 z (+.f64 (*.f64 (-.f64 (*.f64 1000000000000/607771387771 t) (fma.f64 b 31469011574900000000000000/369386059793087248348441 (+.f64 (*.f64 a 11940090572100000000000000/369386059793087248348441) (*.f64 b -142565762869951305298410000000000000000/224502278183706222041215714334315011)))) z) (fma.f64 1000000000000/607771387771 a (*.f64 b -11940090572100000000000000/369386059793087248348441)))))
(+.f64 (*.f64 (-.f64 11166754126200/607771387771 (+.f64 (*.f64 31469011574900/607771387771 (-.f64 (*.f64 1000000000000/607771387771 a) (*.f64 11940090572100000000000000/369386059793087248348441 b))) (+.f64 (*.f64 15234687407000000000000000/369386059793087248348441 b) (*.f64 11940090572100/607771387771 (-.f64 (*.f64 1000000000000/607771387771 t) (+.f64 (*.f64 31469011574900000000000000/369386059793087248348441 b) (*.f64 11940090572100/607771387771 (-.f64 (*.f64 1000000000000/607771387771 a) (*.f64 11940090572100000000000000/369386059793087248348441 b))))))))) (pow.f64 z 3)) (+.f64 (*.f64 (-.f64 (*.f64 1000000000000/607771387771 a) (*.f64 11940090572100000000000000/369386059793087248348441 b)) z) (+.f64 (*.f64 1000000000000/607771387771 b) (*.f64 (pow.f64 z 2) (-.f64 (*.f64 1000000000000/607771387771 t) (+.f64 (*.f64 31469011574900000000000000/369386059793087248348441 b) (*.f64 11940090572100/607771387771 (-.f64 (*.f64 1000000000000/607771387771 a) (*.f64 11940090572100000000000000/369386059793087248348441 b)))))))))
(fma.f64 (-.f64 11166754126200/607771387771 (fma.f64 31469011574900/607771387771 (+.f64 (*.f64 1000000000000/607771387771 a) (*.f64 -11940090572100000000000000/369386059793087248348441 b)) (fma.f64 15234687407000000000000000/369386059793087248348441 b (*.f64 11940090572100/607771387771 (-.f64 (*.f64 1000000000000/607771387771 t) (fma.f64 31469011574900000000000000/369386059793087248348441 b (*.f64 (+.f64 (*.f64 1000000000000/607771387771 a) (*.f64 -11940090572100000000000000/369386059793087248348441 b)) 11940090572100/607771387771))))))) (pow.f64 z 3) (fma.f64 (+.f64 (*.f64 1000000000000/607771387771 a) (*.f64 -11940090572100000000000000/369386059793087248348441 b)) z (fma.f64 1000000000000/607771387771 b (*.f64 (*.f64 z z) (-.f64 (*.f64 1000000000000/607771387771 t) (fma.f64 31469011574900000000000000/369386059793087248348441 b (*.f64 (+.f64 (*.f64 1000000000000/607771387771 a) (*.f64 -11940090572100000000000000/369386059793087248348441 b)) 11940090572100/607771387771)))))))
(fma.f64 (-.f64 11166754126200/607771387771 (fma.f64 (fma.f64 1000000000000/607771387771 a (*.f64 b -11940090572100000000000000/369386059793087248348441)) 31469011574900/607771387771 (fma.f64 11940090572100/607771387771 (-.f64 (*.f64 1000000000000/607771387771 t) (fma.f64 b 31469011574900000000000000/369386059793087248348441 (*.f64 (fma.f64 1000000000000/607771387771 a (*.f64 b -11940090572100000000000000/369386059793087248348441)) 11940090572100/607771387771))) (*.f64 b 15234687407000000000000000/369386059793087248348441)))) (pow.f64 z 3) (fma.f64 (fma.f64 1000000000000/607771387771 a (*.f64 b -11940090572100000000000000/369386059793087248348441)) z (fma.f64 (*.f64 z z) (-.f64 (*.f64 1000000000000/607771387771 t) (fma.f64 b 31469011574900000000000000/369386059793087248348441 (*.f64 (fma.f64 1000000000000/607771387771 a (*.f64 b -11940090572100000000000000/369386059793087248348441)) 11940090572100/607771387771))) (*.f64 1000000000000/607771387771 b))))
(fma.f64 (-.f64 11166754126200/607771387771 (fma.f64 b 15234687407000000000000000/369386059793087248348441 (fma.f64 11940090572100/607771387771 (-.f64 (*.f64 1000000000000/607771387771 t) (fma.f64 b 31469011574900000000000000/369386059793087248348441 (+.f64 (*.f64 a 11940090572100000000000000/369386059793087248348441) (*.f64 b -142565762869951305298410000000000000000/224502278183706222041215714334315011)))) (+.f64 (*.f64 a 31469011574900000000000000/369386059793087248348441) (*.f64 b -375742848418769263000290000000000000000/224502278183706222041215714334315011))))) (pow.f64 z 3) (fma.f64 1000000000000/607771387771 b (*.f64 z (+.f64 (*.f64 (-.f64 (*.f64 1000000000000/607771387771 t) (fma.f64 b 31469011574900000000000000/369386059793087248348441 (+.f64 (*.f64 a 11940090572100000000000000/369386059793087248348441) (*.f64 b -142565762869951305298410000000000000000/224502278183706222041215714334315011)))) z) (fma.f64 1000000000000/607771387771 a (*.f64 b -11940090572100000000000000/369386059793087248348441))))))
313060547623/100000000000
(-.f64 313060547623/100000000000 (*.f64 3652704169880641883561/100000000000000000000 (/.f64 1 z)))
(-.f64 313060547623/100000000000 (/.f64 3652704169880641883561/100000000000000000000 z))
(+.f64 313060547623/100000000000 (/.f64 -3652704169880641883561/100000000000000000000 z))
(-.f64 (+.f64 313060547623/100000000000 (+.f64 (*.f64 45796100221584283915100827016327/100000000000000000000000000000 (/.f64 1 (pow.f64 z 2))) (/.f64 t (pow.f64 z 2)))) (*.f64 3652704169880641883561/100000000000000000000 (/.f64 1 z)))
(+.f64 313060547623/100000000000 (-.f64 (+.f64 (/.f64 45796100221584283915100827016327/100000000000000000000000000000 (*.f64 z z)) (/.f64 t (*.f64 z z))) (/.f64 3652704169880641883561/100000000000000000000 z)))
(+.f64 313060547623/100000000000 (+.f64 (/.f64 45796100221584283915100827016327/100000000000000000000000000000 (*.f64 z z)) (-.f64 (/.f64 (/.f64 t z) z) (/.f64 3652704169880641883561/100000000000000000000 z))))
(-.f64 (+.f64 313060547623/100000000000 (+.f64 (*.f64 45796100221584283915100827016327/100000000000000000000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (/.f64 t (pow.f64 z 2)) (+.f64 (*.f64 1112090185084895700201045470302189/1000000000000000000000000000000 (/.f64 1 (pow.f64 z 3))) (/.f64 a (pow.f64 z 3)))))) (+.f64 (*.f64 3652704169880641883561/100000000000000000000 (/.f64 1 z)) (*.f64 15234687407/1000000000 (/.f64 (+.f64 45796100221584283915100827016327/100000000000000000000000000000 t) (pow.f64 z 3)))))
(+.f64 313060547623/100000000000 (-.f64 (+.f64 (/.f64 45796100221584283915100827016327/100000000000000000000000000000 (*.f64 z z)) (+.f64 (/.f64 t (*.f64 z z)) (+.f64 (/.f64 1112090185084895700201045470302189/1000000000000000000000000000000 (pow.f64 z 3)) (/.f64 a (pow.f64 z 3))))) (+.f64 (/.f64 3652704169880641883561/100000000000000000000 z) (*.f64 15234687407/1000000000 (/.f64 (+.f64 t 45796100221584283915100827016327/100000000000000000000000000000) (pow.f64 z 3))))))
(+.f64 313060547623/100000000000 (+.f64 (/.f64 45796100221584283915100827016327/100000000000000000000000000000 (*.f64 z z)) (-.f64 (+.f64 (/.f64 (/.f64 t z) z) (+.f64 (/.f64 1112090185084895700201045470302189/1000000000000000000000000000000 (pow.f64 z 3)) (/.f64 a (pow.f64 z 3)))) (fma.f64 15234687407/1000000000 (/.f64 (+.f64 t 45796100221584283915100827016327/100000000000000000000000000000) (pow.f64 z 3)) (/.f64 3652704169880641883561/100000000000000000000 z)))))
(+.f64 313060547623/100000000000 (+.f64 (/.f64 45796100221584283915100827016327/100000000000000000000000000000 (*.f64 z z)) (+.f64 (+.f64 (/.f64 (/.f64 t z) z) (+.f64 (/.f64 1112090185084895700201045470302189/1000000000000000000000000000000 (pow.f64 z 3)) (/.f64 a (pow.f64 z 3)))) (+.f64 (/.f64 -3652704169880641883561/100000000000000000000 z) (/.f64 (fma.f64 t -15234687407/1000000000 -697689271335479999750499226480922330294089/100000000000000000000000000000000000000) (pow.f64 z 3))))))
313060547623/100000000000
(-.f64 313060547623/100000000000 (*.f64 3652704169880641883561/100000000000000000000 (/.f64 1 z)))
(-.f64 313060547623/100000000000 (/.f64 3652704169880641883561/100000000000000000000 z))
(+.f64 313060547623/100000000000 (/.f64 -3652704169880641883561/100000000000000000000 z))
(-.f64 (+.f64 313060547623/100000000000 (+.f64 (*.f64 45796100221584283915100827016327/100000000000000000000000000000 (/.f64 1 (pow.f64 z 2))) (/.f64 t (pow.f64 z 2)))) (*.f64 3652704169880641883561/100000000000000000000 (/.f64 1 z)))
(+.f64 313060547623/100000000000 (-.f64 (+.f64 (/.f64 45796100221584283915100827016327/100000000000000000000000000000 (*.f64 z z)) (/.f64 t (*.f64 z z))) (/.f64 3652704169880641883561/100000000000000000000 z)))
(+.f64 313060547623/100000000000 (+.f64 (/.f64 45796100221584283915100827016327/100000000000000000000000000000 (*.f64 z z)) (-.f64 (/.f64 (/.f64 t z) z) (/.f64 3652704169880641883561/100000000000000000000 z))))
(-.f64 (+.f64 313060547623/100000000000 (+.f64 (*.f64 45796100221584283915100827016327/100000000000000000000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (/.f64 t (pow.f64 z 2)) (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 a) (+.f64 1112090185084895700201045470302189/1000000000000000000000000000000 (*.f64 -15234687407/1000000000 (+.f64 45796100221584283915100827016327/100000000000000000000000000000 t)))) (pow.f64 z 3)))))) (*.f64 3652704169880641883561/100000000000000000000 (/.f64 1 z)))
(+.f64 313060547623/100000000000 (-.f64 (+.f64 (/.f64 45796100221584283915100827016327/100000000000000000000000000000 (*.f64 z z)) (+.f64 (/.f64 t (*.f64 z z)) (neg.f64 (/.f64 (-.f64 (neg.f64 a) (+.f64 1112090185084895700201045470302189/1000000000000000000000000000000 (+.f64 -697689271335479999750499226480922330294089/100000000000000000000000000000000000000 (*.f64 t -15234687407/1000000000)))) (pow.f64 z 3))))) (/.f64 3652704169880641883561/100000000000000000000 z)))
(+.f64 313060547623/100000000000 (+.f64 (-.f64 (/.f64 (/.f64 t z) z) (/.f64 (-.f64 (neg.f64 a) (+.f64 -586480252826990429730394679450703430294089/100000000000000000000000000000000000000 (*.f64 t -15234687407/1000000000))) (pow.f64 z 3))) (-.f64 (/.f64 45796100221584283915100827016327/100000000000000000000000000000 (*.f64 z z)) (/.f64 3652704169880641883561/100000000000000000000 z))))
(+.f64 313060547623/100000000000 (+.f64 (+.f64 (/.f64 (/.f64 t z) z) (/.f64 (+.f64 a (+.f64 -586480252826990429730394679450703430294089/100000000000000000000000000000000000000 (*.f64 t -15234687407/1000000000))) (pow.f64 z 3))) (+.f64 (/.f64 45796100221584283915100827016327/100000000000000000000000000000 (*.f64 z z)) (/.f64 -3652704169880641883561/100000000000000000000 z))))
(/.f64 (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 55833770631/5000000000 (*.f64 313060547623/100000000000 z)) (pow.f64 z 2)) a) z) b) (+.f64 607771387771/1000000000000 (*.f64 (+.f64 119400905721/10000000000 (*.f64 z (+.f64 314690115749/10000000000 (*.f64 (+.f64 15234687407/1000000000 z) z)))) z)))
(/.f64 (fma.f64 (fma.f64 (fma.f64 313060547623/100000000000 z 55833770631/5000000000) (*.f64 z z) a) z b) (+.f64 607771387771/1000000000000 (*.f64 z (+.f64 119400905721/10000000000 (*.f64 z (+.f64 314690115749/10000000000 (*.f64 z (+.f64 z 15234687407/1000000000))))))))
(/.f64 (fma.f64 z (fma.f64 (*.f64 z z) (fma.f64 z 313060547623/100000000000 55833770631/5000000000) a) b) (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000))
(/.f64 (fma.f64 a z (fma.f64 (pow.f64 z 3) (fma.f64 z 313060547623/100000000000 55833770631/5000000000) b)) (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000))
(+.f64 (/.f64 (*.f64 t (pow.f64 z 2)) (+.f64 607771387771/1000000000000 (*.f64 (+.f64 119400905721/10000000000 (*.f64 z (+.f64 314690115749/10000000000 (*.f64 (+.f64 15234687407/1000000000 z) z)))) z))) (+.f64 (/.f64 b (+.f64 607771387771/1000000000000 (*.f64 (+.f64 119400905721/10000000000 (*.f64 z (+.f64 314690115749/10000000000 (*.f64 (+.f64 15234687407/1000000000 z) z)))) z))) (/.f64 (*.f64 (+.f64 (*.f64 (+.f64 55833770631/5000000000 (*.f64 313060547623/100000000000 z)) (pow.f64 z 2)) a) z) (+.f64 607771387771/1000000000000 (*.f64 (+.f64 119400905721/10000000000 (*.f64 z (+.f64 314690115749/10000000000 (*.f64 (+.f64 15234687407/1000000000 z) z)))) z)))))
(+.f64 (/.f64 t (/.f64 (+.f64 607771387771/1000000000000 (*.f64 z (+.f64 119400905721/10000000000 (*.f64 z (+.f64 314690115749/10000000000 (*.f64 z (+.f64 z 15234687407/1000000000))))))) (*.f64 z z))) (+.f64 (/.f64 b (+.f64 607771387771/1000000000000 (*.f64 z (+.f64 119400905721/10000000000 (*.f64 z (+.f64 314690115749/10000000000 (*.f64 z (+.f64 z 15234687407/1000000000)))))))) (/.f64 (fma.f64 (fma.f64 313060547623/100000000000 z 55833770631/5000000000) (*.f64 z z) a) (/.f64 (+.f64 607771387771/1000000000000 (*.f64 z (+.f64 119400905721/10000000000 (*.f64 z (+.f64 314690115749/10000000000 (*.f64 z (+.f64 z 15234687407/1000000000))))))) z))))
(+.f64 (*.f64 (/.f64 t (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000)) (*.f64 z z)) (+.f64 (/.f64 b (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000)) (*.f64 (/.f64 (fma.f64 (*.f64 z z) (fma.f64 z 313060547623/100000000000 55833770631/5000000000) a) (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000)) z)))
(fma.f64 (/.f64 (fma.f64 z (*.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000)) a) (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000)) z (fma.f64 (/.f64 t (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000)) (*.f64 z z) (/.f64 b (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000))))
(+.f64 (/.f64 (*.f64 t (pow.f64 z 2)) (+.f64 607771387771/1000000000000 (*.f64 (+.f64 119400905721/10000000000 (*.f64 z (+.f64 314690115749/10000000000 (*.f64 (+.f64 15234687407/1000000000 z) z)))) z))) (+.f64 (/.f64 b (+.f64 607771387771/1000000000000 (*.f64 (+.f64 119400905721/10000000000 (*.f64 z (+.f64 314690115749/10000000000 (*.f64 (+.f64 15234687407/1000000000 z) z)))) z))) (/.f64 (*.f64 (+.f64 (*.f64 (+.f64 55833770631/5000000000 (*.f64 313060547623/100000000000 z)) (pow.f64 z 2)) a) z) (+.f64 607771387771/1000000000000 (*.f64 (+.f64 119400905721/10000000000 (*.f64 z (+.f64 314690115749/10000000000 (*.f64 (+.f64 15234687407/1000000000 z) z)))) z)))))
(+.f64 (/.f64 t (/.f64 (+.f64 607771387771/1000000000000 (*.f64 z (+.f64 119400905721/10000000000 (*.f64 z (+.f64 314690115749/10000000000 (*.f64 z (+.f64 z 15234687407/1000000000))))))) (*.f64 z z))) (+.f64 (/.f64 b (+.f64 607771387771/1000000000000 (*.f64 z (+.f64 119400905721/10000000000 (*.f64 z (+.f64 314690115749/10000000000 (*.f64 z (+.f64 z 15234687407/1000000000)))))))) (/.f64 (fma.f64 (fma.f64 313060547623/100000000000 z 55833770631/5000000000) (*.f64 z z) a) (/.f64 (+.f64 607771387771/1000000000000 (*.f64 z (+.f64 119400905721/10000000000 (*.f64 z (+.f64 314690115749/10000000000 (*.f64 z (+.f64 z 15234687407/1000000000))))))) z))))
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(+.f64 b (+.f64 (*.f64 a z) (*.f64 (pow.f64 z 2) (+.f64 (*.f64 (+.f64 (*.f64 313060547623/100000000000 z) 55833770631/5000000000) z) t))))
(fma.f64 t (*.f64 z z) (fma.f64 (fma.f64 (fma.f64 313060547623/100000000000 z 55833770631/5000000000) (*.f64 z z) a) z b))
(fma.f64 z (fma.f64 z (fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t) a) b)
(+.f64 b (+.f64 (*.f64 a z) (*.f64 (pow.f64 z 2) (+.f64 (*.f64 (+.f64 (*.f64 313060547623/100000000000 z) 55833770631/5000000000) z) t))))
(fma.f64 t (*.f64 z z) (fma.f64 (fma.f64 (fma.f64 313060547623/100000000000 z 55833770631/5000000000) (*.f64 z z) a) z b))
(fma.f64 z (fma.f64 z (fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t) a) b)
(*.f64 a z)
(+.f64 b (+.f64 (*.f64 a z) (*.f64 (pow.f64 z 2) (+.f64 (*.f64 (+.f64 (*.f64 313060547623/100000000000 z) 55833770631/5000000000) z) t))))
(fma.f64 t (*.f64 z z) (fma.f64 (fma.f64 (fma.f64 313060547623/100000000000 z 55833770631/5000000000) (*.f64 z z) a) z b))
(fma.f64 z (fma.f64 z (fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t) a) b)
(+.f64 b (+.f64 (*.f64 a z) (*.f64 (pow.f64 z 2) (+.f64 (*.f64 (+.f64 (*.f64 313060547623/100000000000 z) 55833770631/5000000000) z) t))))
(fma.f64 t (*.f64 z z) (fma.f64 (fma.f64 (fma.f64 313060547623/100000000000 z 55833770631/5000000000) (*.f64 z z) a) z b))
(fma.f64 z (fma.f64 z (fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t) a) b)
(+.f64 b (+.f64 (*.f64 a z) (*.f64 (pow.f64 z 2) (+.f64 (*.f64 (+.f64 (*.f64 313060547623/100000000000 z) 55833770631/5000000000) z) t))))
(fma.f64 t (*.f64 z z) (fma.f64 (fma.f64 (fma.f64 313060547623/100000000000 z 55833770631/5000000000) (*.f64 z z) a) z b))
(fma.f64 z (fma.f64 z (fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t) a) b)
(*.f64 (+.f64 (*.f64 z (+.f64 (*.f64 (+.f64 (*.f64 313060547623/100000000000 z) 55833770631/5000000000) z) t)) a) z)
(fma.f64 55833770631/5000000000 (pow.f64 z 3) (fma.f64 313060547623/100000000000 (pow.f64 z 4) (fma.f64 a z (*.f64 (*.f64 z z) t))))
(fma.f64 (pow.f64 z 3) 55833770631/5000000000 (fma.f64 313060547623/100000000000 (pow.f64 z 4) (fma.f64 (*.f64 z z) t (*.f64 a z))))
(*.f64 z (fma.f64 z (fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t) a))
(+.f64 (*.f64 (+.f64 (*.f64 z (+.f64 (*.f64 (+.f64 (*.f64 313060547623/100000000000 z) 55833770631/5000000000) z) t)) a) z) b)
(fma.f64 t (*.f64 z z) (fma.f64 (fma.f64 (fma.f64 313060547623/100000000000 z 55833770631/5000000000) (*.f64 z z) a) z b))
(fma.f64 z (fma.f64 z (fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t) a) b)
(+.f64 (*.f64 (+.f64 (*.f64 z (+.f64 (*.f64 (+.f64 (*.f64 313060547623/100000000000 z) 55833770631/5000000000) z) t)) a) z) b)
(fma.f64 t (*.f64 z z) (fma.f64 (fma.f64 (fma.f64 313060547623/100000000000 z 55833770631/5000000000) (*.f64 z z) a) z b))
(fma.f64 z (fma.f64 z (fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t) a) b)
(+.f64 (*.f64 (+.f64 (*.f64 z (+.f64 (*.f64 (+.f64 (*.f64 313060547623/100000000000 z) 55833770631/5000000000) z) t)) a) z) b)
(fma.f64 t (*.f64 z z) (fma.f64 (fma.f64 (fma.f64 313060547623/100000000000 z 55833770631/5000000000) (*.f64 z z) a) z b))
(fma.f64 z (fma.f64 z (fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t) a) b)
b
(+.f64 (*.f64 (+.f64 (*.f64 z (+.f64 (*.f64 (+.f64 (*.f64 313060547623/100000000000 z) 55833770631/5000000000) z) t)) a) z) b)
(fma.f64 t (*.f64 z z) (fma.f64 (fma.f64 (fma.f64 313060547623/100000000000 z 55833770631/5000000000) (*.f64 z z) a) z b))
(fma.f64 z (fma.f64 z (fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t) a) b)
(+.f64 (*.f64 (+.f64 (*.f64 z (+.f64 (*.f64 (+.f64 (*.f64 313060547623/100000000000 z) 55833770631/5000000000) z) t)) a) z) b)
(fma.f64 t (*.f64 z z) (fma.f64 (fma.f64 (fma.f64 313060547623/100000000000 z 55833770631/5000000000) (*.f64 z z) a) z b))
(fma.f64 z (fma.f64 z (fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t) a) b)
(+.f64 (*.f64 (+.f64 (*.f64 z (+.f64 (*.f64 (+.f64 (*.f64 313060547623/100000000000 z) 55833770631/5000000000) z) t)) a) z) b)
(fma.f64 t (*.f64 z z) (fma.f64 (fma.f64 (fma.f64 313060547623/100000000000 z 55833770631/5000000000) (*.f64 z z) a) z b))
(fma.f64 z (fma.f64 z (fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t) a) b)
b
(+.f64 (*.f64 (+.f64 (*.f64 z (+.f64 (*.f64 (+.f64 (*.f64 313060547623/100000000000 z) 55833770631/5000000000) z) t)) a) z) b)
(fma.f64 t (*.f64 z z) (fma.f64 (fma.f64 (fma.f64 313060547623/100000000000 z 55833770631/5000000000) (*.f64 z z) a) z b))
(fma.f64 z (fma.f64 z (fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t) a) b)
(+.f64 (*.f64 (+.f64 (*.f64 z (+.f64 (*.f64 (+.f64 (*.f64 313060547623/100000000000 z) 55833770631/5000000000) z) t)) a) z) b)
(fma.f64 t (*.f64 z z) (fma.f64 (fma.f64 (fma.f64 313060547623/100000000000 z 55833770631/5000000000) (*.f64 z z) a) z b))
(fma.f64 z (fma.f64 z (fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t) a) b)
(+.f64 (*.f64 (+.f64 (*.f64 z (+.f64 (*.f64 (+.f64 (*.f64 313060547623/100000000000 z) 55833770631/5000000000) z) t)) a) z) b)
(fma.f64 t (*.f64 z z) (fma.f64 (fma.f64 (fma.f64 313060547623/100000000000 z 55833770631/5000000000) (*.f64 z z) a) z b))
(fma.f64 z (fma.f64 z (fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t) a) b)

prune275.0ms (1.9%)

Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New1935198
Fresh011
Picked101
Done000
Total1946200
Error
0.0b
Counts
200 → 6
Alt Table
StatusErrorProgram
33.5b
(fma.f64 y (/.f64 (+.f64 b (*.f64 (pow.f64 z 2) (+.f64 (*.f64 (+.f64 (*.f64 313060547623/100000000000 z) 55833770631/5000000000) z) t))) (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000)) x)
28.6b
(fma.f64 y (+.f64 313060547623/100000000000 (+.f64 (+.f64 (/.f64 (/.f64 t z) z) (/.f64 (+.f64 a (+.f64 -586480252826990429730394679450703430294089/100000000000000000000000000000000000000 (*.f64 t -15234687407/1000000000))) (pow.f64 z 3))) (+.f64 (/.f64 45796100221584283915100827016327/100000000000000000000000000000 (*.f64 z z)) (/.f64 -3652704169880641883561/100000000000000000000 z)))) x)
30.8b
(+.f64 (*.f64 y (*.f64 (-.f64 (*.f64 1000000000000/607771387771 a) (*.f64 11940090572100000000000000/369386059793087248348441 b)) z)) (+.f64 x (*.f64 1000000000000/607771387771 (*.f64 y b))))
29.4b
(fma.f64 (/.f64 y (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000)) (fma.f64 z (fma.f64 z (fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t) a) b) x)
29.4b
(fma.f64 y (pow.f64 (cbrt.f64 (/.f64 (fma.f64 z (fma.f64 z (fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t) a) b) (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000))) 3) x)
30.4b
(+.f64 x (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 z 313060547623/100000000000) 55833770631/5000000000) z) t) z) a) z) b)) (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 z 15234687407/1000000000) z) 314690115749/10000000000) z) 119400905721/10000000000) z) 607771387771/1000000000000)))
Compiler

Compiled 7250 to 4502 computations (37.9% saved)

localize21.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
2.2b
(fma.f64 y (+.f64 313060547623/100000000000 (+.f64 (+.f64 (/.f64 (/.f64 t z) z) (/.f64 (+.f64 a (+.f64 -586480252826990429730394679450703430294089/100000000000000000000000000000000000000 (*.f64 t -15234687407/1000000000))) (pow.f64 z 3))) (+.f64 (/.f64 45796100221584283915100827016327/100000000000000000000000000000 (*.f64 z z)) (/.f64 -3652704169880641883561/100000000000000000000 z)))) x)
5.9b
(+.f64 (/.f64 (/.f64 t z) z) (/.f64 (+.f64 a (+.f64 -586480252826990429730394679450703430294089/100000000000000000000000000000000000000 (*.f64 t -15234687407/1000000000))) (pow.f64 z 3)))
6.1b
(/.f64 (+.f64 a (+.f64 -586480252826990429730394679450703430294089/100000000000000000000000000000000000000 (*.f64 t -15234687407/1000000000))) (pow.f64 z 3))
7.0b
(+.f64 (+.f64 (/.f64 (/.f64 t z) z) (/.f64 (+.f64 a (+.f64 -586480252826990429730394679450703430294089/100000000000000000000000000000000000000 (*.f64 t -15234687407/1000000000))) (pow.f64 z 3))) (+.f64 (/.f64 45796100221584283915100827016327/100000000000000000000000000000 (*.f64 z z)) (/.f64 -3652704169880641883561/100000000000000000000 z)))

series41.0ms (0.3%)

Counts
4 → 168
Calls

42 calls:

TimeVariablePointExpression
6.0ms
t
@0
(+.f64 (+.f64 (/.f64 (/.f64 t z) z) (/.f64 (+.f64 a (+.f64 -586480252826990429730394679450703430294089/100000000000000000000000000000000000000 (*.f64 t -15234687407/1000000000))) (pow.f64 z 3))) (+.f64 (/.f64 45796100221584283915100827016327/100000000000000000000000000000 (*.f64 z z)) (/.f64 -3652704169880641883561/100000000000000000000 z)))
2.0ms
z
@0
(+.f64 (+.f64 (/.f64 (/.f64 t z) z) (/.f64 (+.f64 a (+.f64 -586480252826990429730394679450703430294089/100000000000000000000000000000000000000 (*.f64 t -15234687407/1000000000))) (pow.f64 z 3))) (+.f64 (/.f64 45796100221584283915100827016327/100000000000000000000000000000 (*.f64 z z)) (/.f64 -3652704169880641883561/100000000000000000000 z)))
2.0ms
y
@0
(fma.f64 y (+.f64 313060547623/100000000000 (+.f64 (+.f64 (/.f64 (/.f64 t z) z) (/.f64 (+.f64 a (+.f64 -586480252826990429730394679450703430294089/100000000000000000000000000000000000000 (*.f64 t -15234687407/1000000000))) (pow.f64 z 3))) (+.f64 (/.f64 45796100221584283915100827016327/100000000000000000000000000000 (*.f64 z z)) (/.f64 -3652704169880641883561/100000000000000000000 z)))) x)
2.0ms
a
@0
(fma.f64 y (+.f64 313060547623/100000000000 (+.f64 (+.f64 (/.f64 (/.f64 t z) z) (/.f64 (+.f64 a (+.f64 -586480252826990429730394679450703430294089/100000000000000000000000000000000000000 (*.f64 t -15234687407/1000000000))) (pow.f64 z 3))) (+.f64 (/.f64 45796100221584283915100827016327/100000000000000000000000000000 (*.f64 z z)) (/.f64 -3652704169880641883561/100000000000000000000 z)))) x)
2.0ms
x
@0
(fma.f64 y (+.f64 313060547623/100000000000 (+.f64 (+.f64 (/.f64 (/.f64 t z) z) (/.f64 (+.f64 a (+.f64 -586480252826990429730394679450703430294089/100000000000000000000000000000000000000 (*.f64 t -15234687407/1000000000))) (pow.f64 z 3))) (+.f64 (/.f64 45796100221584283915100827016327/100000000000000000000000000000 (*.f64 z z)) (/.f64 -3652704169880641883561/100000000000000000000 z)))) x)

rewrite64.0ms (0.4%)

Algorithm
batch-egg-rewrite
Rules
323×pow1_binary64
319×add-log-exp_binary64
319×log1p-expm1-u_binary64
319×expm1-log1p-u_binary64
318×add-cube-cbrt_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
027128
1657128
Stop Event
node limit
Counts
4 → 43
Calls
Call 1
Inputs
(+.f64 (+.f64 (/.f64 (/.f64 t z) z) (/.f64 (+.f64 a (+.f64 -586480252826990429730394679450703430294089/100000000000000000000000000000000000000 (*.f64 t -15234687407/1000000000))) (pow.f64 z 3))) (+.f64 (/.f64 45796100221584283915100827016327/100000000000000000000000000000 (*.f64 z z)) (/.f64 -3652704169880641883561/100000000000000000000 z)))
(/.f64 (+.f64 a (+.f64 -586480252826990429730394679450703430294089/100000000000000000000000000000000000000 (*.f64 t -15234687407/1000000000))) (pow.f64 z 3))
(+.f64 (/.f64 (/.f64 t z) z) (/.f64 (+.f64 a (+.f64 -586480252826990429730394679450703430294089/100000000000000000000000000000000000000 (*.f64 t -15234687407/1000000000))) (pow.f64 z 3)))
(fma.f64 y (+.f64 313060547623/100000000000 (+.f64 (+.f64 (/.f64 (/.f64 t z) z) (/.f64 (+.f64 a (+.f64 -586480252826990429730394679450703430294089/100000000000000000000000000000000000000 (*.f64 t -15234687407/1000000000))) (pow.f64 z 3))) (+.f64 (/.f64 45796100221584283915100827016327/100000000000000000000000000000 (*.f64 z z)) (/.f64 -3652704169880641883561/100000000000000000000 z)))) x)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (/.f64 t (*.f64 z z)) (+.f64 (/.f64 (+.f64 a (+.f64 -586480252826990429730394679450703430294089/100000000000000000000000000000000000000 (*.f64 t -15234687407/1000000000))) (pow.f64 z 3)) (+.f64 (/.f64 45796100221584283915100827016327/100000000000000000000000000000 (*.f64 z z)) (/.f64 -3652704169880641883561/100000000000000000000 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (+.f64 (/.f64 t (*.f64 z z)) (+.f64 (/.f64 (+.f64 a (+.f64 -586480252826990429730394679450703430294089/100000000000000000000000000000000000000 (*.f64 t -15234687407/1000000000))) (pow.f64 z 3)) (+.f64 (/.f64 45796100221584283915100827016327/100000000000000000000000000000 (*.f64 z z)) (/.f64 -3652704169880641883561/100000000000000000000 z))))) (cbrt.f64 (+.f64 (/.f64 t (*.f64 z z)) (+.f64 (/.f64 (+.f64 a (+.f64 -586480252826990429730394679450703430294089/100000000000000000000000000000000000000 (*.f64 t -15234687407/1000000000))) (pow.f64 z 3)) (+.f64 (/.f64 45796100221584283915100827016327/100000000000000000000000000000 (*.f64 z z)) (/.f64 -3652704169880641883561/100000000000000000000 z)))))) (cbrt.f64 (+.f64 (/.f64 t (*.f64 z z)) (+.f64 (/.f64 (+.f64 a (+.f64 -586480252826990429730394679450703430294089/100000000000000000000000000000000000000 (*.f64 t -15234687407/1000000000))) (pow.f64 z 3)) (+.f64 (/.f64 45796100221584283915100827016327/100000000000000000000000000000 (*.f64 z z)) (/.f64 -3652704169880641883561/100000000000000000000 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (/.f64 t (*.f64 z z)) (+.f64 (/.f64 (+.f64 a (+.f64 -586480252826990429730394679450703430294089/100000000000000000000000000000000000000 (*.f64 t -15234687407/1000000000))) (pow.f64 z 3)) (+.f64 (/.f64 45796100221584283915100827016327/100000000000000000000000000000 (*.f64 z z)) (/.f64 -3652704169880641883561/100000000000000000000 z))))) (sqrt.f64 (+.f64 (/.f64 t (*.f64 z z)) (+.f64 (/.f64 (+.f64 a (+.f64 -586480252826990429730394679450703430294089/100000000000000000000000000000000000000 (*.f64 t -15234687407/1000000000))) (pow.f64 z 3)) (+.f64 (/.f64 45796100221584283915100827016327/100000000000000000000000000000 (*.f64 z z)) (/.f64 -3652704169880641883561/100000000000000000000 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 (/.f64 t (*.f64 z z)) (/.f64 (+.f64 a (+.f64 -586480252826990429730394679450703430294089/100000000000000000000000000000000000000 (*.f64 t -15234687407/1000000000))) (pow.f64 z 3))) 3) (pow.f64 (+.f64 (/.f64 45796100221584283915100827016327/100000000000000000000000000000 (*.f64 z z)) (/.f64 -3652704169880641883561/100000000000000000000 z)) 3)) (+.f64 (*.f64 (+.f64 (/.f64 t (*.f64 z z)) (/.f64 (+.f64 a (+.f64 -586480252826990429730394679450703430294089/100000000000000000000000000000000000000 (*.f64 t -15234687407/1000000000))) (pow.f64 z 3))) (+.f64 (/.f64 t (*.f64 z z)) (/.f64 (+.f64 a (+.f64 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simplify179.0ms (1.2%)

Algorithm
egg-herbie
Rules
531×fma-def_binary64
432×associate-+l+_binary64
389×times-frac_binary64
301×associate-+r+_binary64
292×associate--l+_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01185765
13695243
211405105
343645105
Stop Event
node limit
Counts
211 → 116
Calls
Call 1
Inputs
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x
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x
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Outputs
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(fma.f64 (+.f64 (+.f64 313060547623/100000000000 (+.f64 (/.f64 45796100221584283915100827016327/100000000000000000000000000000 (*.f64 z z)) (+.f64 (/.f64 (/.f64 t z) z) (+.f64 (/.f64 a (pow.f64 z 3)) (/.f64 (fma.f64 t -15234687407/1000000000 -586480252826990429730394679450703430294089/100000000000000000000000000000000000000) (pow.f64 z 3)))))) (/.f64 -3652704169880641883561/100000000000000000000 z)) y x)
(fma.f64 (+.f64 (+.f64 (/.f64 45796100221584283915100827016327/100000000000000000000000000000 (*.f64 z z)) (+.f64 (*.f64 (+.f64 (/.f64 -15234687407/1000000000 z) 1) (/.f64 (/.f64 t z) z)) (/.f64 (+.f64 a -586480252826990429730394679450703430294089/100000000000000000000000000000000000000) (pow.f64 z 3)))) (+.f64 (/.f64 -3652704169880641883561/100000000000000000000 z) 313060547623/100000000000)) y x)
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(fma.f64 (+.f64 313060547623/100000000000 (-.f64 (+.f64 (/.f64 t (*.f64 z z)) (+.f64 (+.f64 (/.f64 45796100221584283915100827016327/100000000000000000000000000000 (*.f64 z z)) (/.f64 a (pow.f64 z 3))) (*.f64 -15234687407/1000000000 (/.f64 t (pow.f64 z 3))))) (+.f64 (/.f64 586480252826990429730394679450703430294089/100000000000000000000000000000000000000 (pow.f64 z 3)) (/.f64 3652704169880641883561/100000000000000000000 z)))) y x)
(fma.f64 (+.f64 (+.f64 313060547623/100000000000 (+.f64 (/.f64 45796100221584283915100827016327/100000000000000000000000000000 (*.f64 z z)) (+.f64 (/.f64 (/.f64 t z) z) (+.f64 (/.f64 a (pow.f64 z 3)) (/.f64 (fma.f64 t -15234687407/1000000000 -586480252826990429730394679450703430294089/100000000000000000000000000000000000000) (pow.f64 z 3)))))) (/.f64 -3652704169880641883561/100000000000000000000 z)) y x)
(fma.f64 (+.f64 (+.f64 (/.f64 45796100221584283915100827016327/100000000000000000000000000000 (*.f64 z z)) (+.f64 (*.f64 (+.f64 (/.f64 -15234687407/1000000000 z) 1) (/.f64 (/.f64 t z) z)) (/.f64 (+.f64 a -586480252826990429730394679450703430294089/100000000000000000000000000000000000000) (pow.f64 z 3)))) (+.f64 (/.f64 -3652704169880641883561/100000000000000000000 z) 313060547623/100000000000)) y x)
x
(+.f64 (*.f64 (-.f64 (+.f64 313060547623/100000000000 (+.f64 (*.f64 45796100221584283915100827016327/100000000000000000000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (/.f64 t (pow.f64 z 2)) (+.f64 (/.f64 a (pow.f64 z 3)) (*.f64 -15234687407/1000000000 (/.f64 t (pow.f64 z 3))))))) (+.f64 (*.f64 586480252826990429730394679450703430294089/100000000000000000000000000000000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 3652704169880641883561/100000000000000000000 (/.f64 1 z)))) y) x)
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(fma.f64 (+.f64 (+.f64 (/.f64 45796100221584283915100827016327/100000000000000000000000000000 (*.f64 z z)) (+.f64 (*.f64 (+.f64 (/.f64 -15234687407/1000000000 z) 1) (/.f64 (/.f64 t z) z)) (/.f64 (+.f64 a -586480252826990429730394679450703430294089/100000000000000000000000000000000000000) (pow.f64 z 3)))) (+.f64 (/.f64 -3652704169880641883561/100000000000000000000 z) 313060547623/100000000000)) y x)
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(fma.f64 (+.f64 313060547623/100000000000 (-.f64 (+.f64 (/.f64 t (*.f64 z z)) (+.f64 (+.f64 (/.f64 45796100221584283915100827016327/100000000000000000000000000000 (*.f64 z z)) (/.f64 a (pow.f64 z 3))) (*.f64 -15234687407/1000000000 (/.f64 t (pow.f64 z 3))))) (+.f64 (/.f64 586480252826990429730394679450703430294089/100000000000000000000000000000000000000 (pow.f64 z 3)) (/.f64 3652704169880641883561/100000000000000000000 z)))) y x)
(fma.f64 (+.f64 (+.f64 313060547623/100000000000 (+.f64 (/.f64 45796100221584283915100827016327/100000000000000000000000000000 (*.f64 z z)) (+.f64 (/.f64 (/.f64 t z) z) (+.f64 (/.f64 a (pow.f64 z 3)) (/.f64 (fma.f64 t -15234687407/1000000000 -586480252826990429730394679450703430294089/100000000000000000000000000000000000000) (pow.f64 z 3)))))) (/.f64 -3652704169880641883561/100000000000000000000 z)) y x)
(fma.f64 (+.f64 (+.f64 (/.f64 45796100221584283915100827016327/100000000000000000000000000000 (*.f64 z z)) (+.f64 (*.f64 (+.f64 (/.f64 -15234687407/1000000000 z) 1) (/.f64 (/.f64 t z) z)) (/.f64 (+.f64 a -586480252826990429730394679450703430294089/100000000000000000000000000000000000000) (pow.f64 z 3)))) (+.f64 (/.f64 -3652704169880641883561/100000000000000000000 z) 313060547623/100000000000)) y x)
(+.f64 (*.f64 (-.f64 (+.f64 313060547623/100000000000 (+.f64 (*.f64 45796100221584283915100827016327/100000000000000000000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (/.f64 t (pow.f64 z 2)) (+.f64 (/.f64 a (pow.f64 z 3)) (*.f64 -15234687407/1000000000 (/.f64 t (pow.f64 z 3))))))) (+.f64 (*.f64 586480252826990429730394679450703430294089/100000000000000000000000000000000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 3652704169880641883561/100000000000000000000 (/.f64 1 z)))) y) x)
(fma.f64 (+.f64 313060547623/100000000000 (-.f64 (+.f64 (/.f64 t (*.f64 z z)) (+.f64 (+.f64 (/.f64 45796100221584283915100827016327/100000000000000000000000000000 (*.f64 z z)) (/.f64 a (pow.f64 z 3))) (*.f64 -15234687407/1000000000 (/.f64 t (pow.f64 z 3))))) (+.f64 (/.f64 586480252826990429730394679450703430294089/100000000000000000000000000000000000000 (pow.f64 z 3)) (/.f64 3652704169880641883561/100000000000000000000 z)))) y x)
(fma.f64 (+.f64 (+.f64 313060547623/100000000000 (+.f64 (/.f64 45796100221584283915100827016327/100000000000000000000000000000 (*.f64 z z)) (+.f64 (/.f64 (/.f64 t z) z) (+.f64 (/.f64 a (pow.f64 z 3)) (/.f64 (fma.f64 t -15234687407/1000000000 -586480252826990429730394679450703430294089/100000000000000000000000000000000000000) (pow.f64 z 3)))))) (/.f64 -3652704169880641883561/100000000000000000000 z)) y x)
(fma.f64 (+.f64 (+.f64 (/.f64 45796100221584283915100827016327/100000000000000000000000000000 (*.f64 z z)) (+.f64 (*.f64 (+.f64 (/.f64 -15234687407/1000000000 z) 1) (/.f64 (/.f64 t z) z)) (/.f64 (+.f64 a -586480252826990429730394679450703430294089/100000000000000000000000000000000000000) (pow.f64 z 3)))) (+.f64 (/.f64 -3652704169880641883561/100000000000000000000 z) 313060547623/100000000000)) y x)
x
(+.f64 (*.f64 (-.f64 (+.f64 313060547623/100000000000 (+.f64 (*.f64 45796100221584283915100827016327/100000000000000000000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (/.f64 t (pow.f64 z 2)) (+.f64 (/.f64 a (pow.f64 z 3)) (*.f64 -15234687407/1000000000 (/.f64 t (pow.f64 z 3))))))) (+.f64 (*.f64 586480252826990429730394679450703430294089/100000000000000000000000000000000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 3652704169880641883561/100000000000000000000 (/.f64 1 z)))) y) x)
(fma.f64 (+.f64 313060547623/100000000000 (-.f64 (+.f64 (/.f64 t (*.f64 z z)) (+.f64 (+.f64 (/.f64 45796100221584283915100827016327/100000000000000000000000000000 (*.f64 z z)) (/.f64 a (pow.f64 z 3))) (*.f64 -15234687407/1000000000 (/.f64 t (pow.f64 z 3))))) (+.f64 (/.f64 586480252826990429730394679450703430294089/100000000000000000000000000000000000000 (pow.f64 z 3)) (/.f64 3652704169880641883561/100000000000000000000 z)))) y x)
(fma.f64 (+.f64 (+.f64 313060547623/100000000000 (+.f64 (/.f64 45796100221584283915100827016327/100000000000000000000000000000 (*.f64 z z)) (+.f64 (/.f64 (/.f64 t z) z) (+.f64 (/.f64 a (pow.f64 z 3)) (/.f64 (fma.f64 t -15234687407/1000000000 -586480252826990429730394679450703430294089/100000000000000000000000000000000000000) (pow.f64 z 3)))))) (/.f64 -3652704169880641883561/100000000000000000000 z)) y x)
(fma.f64 (+.f64 (+.f64 (/.f64 45796100221584283915100827016327/100000000000000000000000000000 (*.f64 z z)) (+.f64 (*.f64 (+.f64 (/.f64 -15234687407/1000000000 z) 1) (/.f64 (/.f64 t z) z)) (/.f64 (+.f64 a -586480252826990429730394679450703430294089/100000000000000000000000000000000000000) (pow.f64 z 3)))) (+.f64 (/.f64 -3652704169880641883561/100000000000000000000 z) 313060547623/100000000000)) y x)
(+.f64 (*.f64 (-.f64 (+.f64 313060547623/100000000000 (+.f64 (*.f64 45796100221584283915100827016327/100000000000000000000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (/.f64 t (pow.f64 z 2)) (+.f64 (/.f64 a (pow.f64 z 3)) (*.f64 -15234687407/1000000000 (/.f64 t (pow.f64 z 3))))))) (+.f64 (*.f64 586480252826990429730394679450703430294089/100000000000000000000000000000000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 3652704169880641883561/100000000000000000000 (/.f64 1 z)))) y) x)
(fma.f64 (+.f64 313060547623/100000000000 (-.f64 (+.f64 (/.f64 t (*.f64 z z)) (+.f64 (+.f64 (/.f64 45796100221584283915100827016327/100000000000000000000000000000 (*.f64 z z)) (/.f64 a (pow.f64 z 3))) (*.f64 -15234687407/1000000000 (/.f64 t (pow.f64 z 3))))) (+.f64 (/.f64 586480252826990429730394679450703430294089/100000000000000000000000000000000000000 (pow.f64 z 3)) (/.f64 3652704169880641883561/100000000000000000000 z)))) y x)
(fma.f64 (+.f64 (+.f64 313060547623/100000000000 (+.f64 (/.f64 45796100221584283915100827016327/100000000000000000000000000000 (*.f64 z z)) (+.f64 (/.f64 (/.f64 t z) z) (+.f64 (/.f64 a (pow.f64 z 3)) (/.f64 (fma.f64 t -15234687407/1000000000 -586480252826990429730394679450703430294089/100000000000000000000000000000000000000) (pow.f64 z 3)))))) (/.f64 -3652704169880641883561/100000000000000000000 z)) y x)
(fma.f64 (+.f64 (+.f64 (/.f64 45796100221584283915100827016327/100000000000000000000000000000 (*.f64 z z)) (+.f64 (*.f64 (+.f64 (/.f64 -15234687407/1000000000 z) 1) (/.f64 (/.f64 t z) z)) (/.f64 (+.f64 a -586480252826990429730394679450703430294089/100000000000000000000000000000000000000) (pow.f64 z 3)))) (+.f64 (/.f64 -3652704169880641883561/100000000000000000000 z) 313060547623/100000000000)) y x)
(+.f64 (*.f64 (-.f64 (+.f64 313060547623/100000000000 (+.f64 (*.f64 45796100221584283915100827016327/100000000000000000000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (/.f64 t (pow.f64 z 2)) (+.f64 (/.f64 a (pow.f64 z 3)) (*.f64 -15234687407/1000000000 (/.f64 t (pow.f64 z 3))))))) (+.f64 (*.f64 586480252826990429730394679450703430294089/100000000000000000000000000000000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 3652704169880641883561/100000000000000000000 (/.f64 1 z)))) y) x)
(fma.f64 (+.f64 313060547623/100000000000 (-.f64 (+.f64 (/.f64 t (*.f64 z z)) (+.f64 (+.f64 (/.f64 45796100221584283915100827016327/100000000000000000000000000000 (*.f64 z z)) (/.f64 a (pow.f64 z 3))) (*.f64 -15234687407/1000000000 (/.f64 t (pow.f64 z 3))))) (+.f64 (/.f64 586480252826990429730394679450703430294089/100000000000000000000000000000000000000 (pow.f64 z 3)) (/.f64 3652704169880641883561/100000000000000000000 z)))) y x)
(fma.f64 (+.f64 (+.f64 313060547623/100000000000 (+.f64 (/.f64 45796100221584283915100827016327/100000000000000000000000000000 (*.f64 z z)) (+.f64 (/.f64 (/.f64 t z) z) (+.f64 (/.f64 a (pow.f64 z 3)) (/.f64 (fma.f64 t -15234687407/1000000000 -586480252826990429730394679450703430294089/100000000000000000000000000000000000000) (pow.f64 z 3)))))) (/.f64 -3652704169880641883561/100000000000000000000 z)) y x)
(fma.f64 (+.f64 (+.f64 (/.f64 45796100221584283915100827016327/100000000000000000000000000000 (*.f64 z z)) (+.f64 (*.f64 (+.f64 (/.f64 -15234687407/1000000000 z) 1) (/.f64 (/.f64 t z) z)) (/.f64 (+.f64 a -586480252826990429730394679450703430294089/100000000000000000000000000000000000000) (pow.f64 z 3)))) (+.f64 (/.f64 -3652704169880641883561/100000000000000000000 z) 313060547623/100000000000)) y x)

prune154.0ms (1%)

Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New1151116
Fresh055
Picked011
Done000
Total1157122
Error
0.0b
Counts
122 → 7
Alt Table
StatusErrorProgram
33.5b
(fma.f64 y (/.f64 (+.f64 b (*.f64 (pow.f64 z 2) (+.f64 (*.f64 (+.f64 (*.f64 313060547623/100000000000 z) 55833770631/5000000000) z) t))) (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000)) x)
28.6b
(fma.f64 y (+.f64 313060547623/100000000000 (+.f64 (+.f64 (/.f64 (/.f64 t z) z) (/.f64 (+.f64 a (+.f64 -586480252826990429730394679450703430294089/100000000000000000000000000000000000000 (*.f64 t -15234687407/1000000000))) (pow.f64 z 3))) (+.f64 (/.f64 45796100221584283915100827016327/100000000000000000000000000000 (*.f64 z z)) (/.f64 -3652704169880641883561/100000000000000000000 z)))) x)
29.3b
(*.f64 (*.f64 (cbrt.f64 (fma.f64 y (+.f64 (+.f64 313060547623/100000000000 (+.f64 (/.f64 t (*.f64 z z)) (/.f64 (+.f64 a (+.f64 -586480252826990429730394679450703430294089/100000000000000000000000000000000000000 (*.f64 t -15234687407/1000000000))) (pow.f64 z 3)))) (+.f64 (/.f64 45796100221584283915100827016327/100000000000000000000000000000 (*.f64 z z)) (/.f64 -3652704169880641883561/100000000000000000000 z))) x)) (cbrt.f64 (fma.f64 y (+.f64 (+.f64 313060547623/100000000000 (+.f64 (/.f64 t (*.f64 z z)) (/.f64 (+.f64 a (+.f64 -586480252826990429730394679450703430294089/100000000000000000000000000000000000000 (*.f64 t -15234687407/1000000000))) (pow.f64 z 3)))) (+.f64 (/.f64 45796100221584283915100827016327/100000000000000000000000000000 (*.f64 z z)) (/.f64 -3652704169880641883561/100000000000000000000 z))) x))) (cbrt.f64 (fma.f64 y (+.f64 (+.f64 313060547623/100000000000 (+.f64 (/.f64 t (*.f64 z z)) (/.f64 (+.f64 a (+.f64 -586480252826990429730394679450703430294089/100000000000000000000000000000000000000 (*.f64 t -15234687407/1000000000))) (pow.f64 z 3)))) (+.f64 (/.f64 45796100221584283915100827016327/100000000000000000000000000000 (*.f64 z z)) (/.f64 -3652704169880641883561/100000000000000000000 z))) x)))
30.8b
(+.f64 (*.f64 y (*.f64 (-.f64 (*.f64 1000000000000/607771387771 a) (*.f64 11940090572100000000000000/369386059793087248348441 b)) z)) (+.f64 x (*.f64 1000000000000/607771387771 (*.f64 y b))))
29.4b
(fma.f64 (/.f64 y (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000)) (fma.f64 z (fma.f64 z (fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t) a) b) x)
29.4b
(fma.f64 y (pow.f64 (cbrt.f64 (/.f64 (fma.f64 z (fma.f64 z (fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t) a) b) (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000))) 3) x)
30.4b
(+.f64 x (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 z 313060547623/100000000000) 55833770631/5000000000) z) t) z) a) z) b)) (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 z 15234687407/1000000000) z) 314690115749/10000000000) z) 119400905721/10000000000) z) 607771387771/1000000000000)))
Compiler

Compiled 4822 to 3045 computations (36.9% saved)

localize24.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
6.1b
(/.f64 (+.f64 a (+.f64 -586480252826990429730394679450703430294089/100000000000000000000000000000000000000 (*.f64 t -15234687407/1000000000))) (pow.f64 z 3))
7.0b
(+.f64 (+.f64 313060547623/100000000000 (+.f64 (/.f64 t (*.f64 z z)) (/.f64 (+.f64 a (+.f64 -586480252826990429730394679450703430294089/100000000000000000000000000000000000000 (*.f64 t -15234687407/1000000000))) (pow.f64 z 3)))) (+.f64 (/.f64 45796100221584283915100827016327/100000000000000000000000000000 (*.f64 z z)) (/.f64 -3652704169880641883561/100000000000000000000 z)))
9.8b
(/.f64 t (*.f64 z z))
15.6b
(cbrt.f64 (fma.f64 y (+.f64 (+.f64 313060547623/100000000000 (+.f64 (/.f64 t (*.f64 z z)) (/.f64 (+.f64 a (+.f64 -586480252826990429730394679450703430294089/100000000000000000000000000000000000000 (*.f64 t -15234687407/1000000000))) (pow.f64 z 3)))) (+.f64 (/.f64 45796100221584283915100827016327/100000000000000000000000000000 (*.f64 z z)) (/.f64 -3652704169880641883561/100000000000000000000 z))) x))

series50.0ms (0.3%)

Counts
3 → 88
Calls

30 calls:

TimeVariablePointExpression
12.0ms
t
@inf
(/.f64 t (*.f64 z z))
5.0ms
a
@0
(cbrt.f64 (fma.f64 y (+.f64 (+.f64 313060547623/100000000000 (+.f64 (/.f64 t (*.f64 z z)) (/.f64 (+.f64 a (+.f64 -586480252826990429730394679450703430294089/100000000000000000000000000000000000000 (*.f64 t -15234687407/1000000000))) (pow.f64 z 3)))) (+.f64 (/.f64 45796100221584283915100827016327/100000000000000000000000000000 (*.f64 z z)) (/.f64 -3652704169880641883561/100000000000000000000 z))) x))
4.0ms
z
@0
(cbrt.f64 (fma.f64 y (+.f64 (+.f64 313060547623/100000000000 (+.f64 (/.f64 t (*.f64 z z)) (/.f64 (+.f64 a (+.f64 -586480252826990429730394679450703430294089/100000000000000000000000000000000000000 (*.f64 t -15234687407/1000000000))) (pow.f64 z 3)))) (+.f64 (/.f64 45796100221584283915100827016327/100000000000000000000000000000 (*.f64 z z)) (/.f64 -3652704169880641883561/100000000000000000000 z))) x))
4.0ms
t
@0
(cbrt.f64 (fma.f64 y (+.f64 (+.f64 313060547623/100000000000 (+.f64 (/.f64 t (*.f64 z z)) (/.f64 (+.f64 a (+.f64 -586480252826990429730394679450703430294089/100000000000000000000000000000000000000 (*.f64 t -15234687407/1000000000))) (pow.f64 z 3)))) (+.f64 (/.f64 45796100221584283915100827016327/100000000000000000000000000000 (*.f64 z z)) (/.f64 -3652704169880641883561/100000000000000000000 z))) x))
3.0ms
x
@0
(cbrt.f64 (fma.f64 y (+.f64 (+.f64 313060547623/100000000000 (+.f64 (/.f64 t (*.f64 z z)) (/.f64 (+.f64 a (+.f64 -586480252826990429730394679450703430294089/100000000000000000000000000000000000000 (*.f64 t -15234687407/1000000000))) (pow.f64 z 3)))) (+.f64 (/.f64 45796100221584283915100827016327/100000000000000000000000000000 (*.f64 z z)) (/.f64 -3652704169880641883561/100000000000000000000 z))) x))

rewrite66.0ms (0.5%)

Algorithm
batch-egg-rewrite
Rules
319×pow1_binary64
316×add-cube-cbrt_binary64
316×add-cbrt-cube_binary64
316×add-log-exp_binary64
316×log1p-expm1-u_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02799
165299
Stop Event
node limit
Counts
3 → 30
Calls
Call 1
Inputs
(cbrt.f64 (fma.f64 y (+.f64 (+.f64 313060547623/100000000000 (+.f64 (/.f64 t (*.f64 z z)) (/.f64 (+.f64 a (+.f64 -586480252826990429730394679450703430294089/100000000000000000000000000000000000000 (*.f64 t -15234687407/1000000000))) (pow.f64 z 3)))) (+.f64 (/.f64 45796100221584283915100827016327/100000000000000000000000000000 (*.f64 z z)) (/.f64 -3652704169880641883561/100000000000000000000 z))) x))
(/.f64 t (*.f64 z z))
(+.f64 (+.f64 313060547623/100000000000 (+.f64 (/.f64 t (*.f64 z z)) (/.f64 (+.f64 a (+.f64 -586480252826990429730394679450703430294089/100000000000000000000000000000000000000 (*.f64 t -15234687407/1000000000))) (pow.f64 z 3)))) (+.f64 (/.f64 45796100221584283915100827016327/100000000000000000000000000000 (*.f64 z z)) (/.f64 -3652704169880641883561/100000000000000000000 z)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (fma.f64 y (+.f64 313060547623/100000000000 (+.f64 (+.f64 (/.f64 t (*.f64 z z)) (/.f64 (+.f64 (+.f64 a -586480252826990429730394679450703430294089/100000000000000000000000000000000000000) (*.f64 t -15234687407/1000000000)) (pow.f64 z 3))) (+.f64 (/.f64 45796100221584283915100827016327/100000000000000000000000000000 (*.f64 z z)) (/.f64 -3652704169880641883561/100000000000000000000 z)))) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y (+.f64 313060547623/100000000000 (+.f64 (+.f64 (/.f64 t (*.f64 z z)) (/.f64 (+.f64 (+.f64 a -586480252826990429730394679450703430294089/100000000000000000000000000000000000000) (*.f64 t -15234687407/1000000000)) (pow.f64 z 3))) (+.f64 (/.f64 45796100221584283915100827016327/100000000000000000000000000000 (*.f64 z z)) (/.f64 -3652704169880641883561/100000000000000000000 z)))) x))) (cbrt.f64 (cbrt.f64 (fma.f64 y (+.f64 313060547623/100000000000 (+.f64 (+.f64 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(*.f64 z z)) (/.f64 -3652704169880641883561/100000000000000000000 z)))) x))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (fma.f64 y (+.f64 313060547623/100000000000 (+.f64 (+.f64 (/.f64 t (*.f64 z z)) (/.f64 (+.f64 (+.f64 a -586480252826990429730394679450703430294089/100000000000000000000000000000000000000) (*.f64 t -15234687407/1000000000)) (pow.f64 z 3))) (+.f64 (/.f64 45796100221584283915100827016327/100000000000000000000000000000 (*.f64 z z)) (/.f64 -3652704169880641883561/100000000000000000000 z)))) x))))))))
((#(struct:change #<rule egg-rr> (2) ((x *.f64 t (/.f64 1 (*.f64 z z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 t (*.f64 z z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (/.f64 t (*.f64 z z))) (cbrt.f64 (/.f64 t (*.f64 z z)))) (cbrt.f64 (/.f64 t (*.f64 z z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 t (*.f64 z z))) (sqrt.f64 (/.f64 t (*.f64 z z))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 t (*.f64 z z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 t (*.f64 z z))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (*.f64 (/.f64 t (*.f64 z z)) (/.f64 t (*.f64 z z))) (/.f64 t (*.f64 z z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 t (*.f64 z z))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 t (*.f64 z z))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 t (*.f64 z z))))))))
((#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 313060547623/100000000000 (+.f64 (+.f64 (/.f64 t (*.f64 z z)) (/.f64 (+.f64 (+.f64 a -586480252826990429730394679450703430294089/100000000000000000000000000000000000000) (*.f64 t -15234687407/1000000000)) (pow.f64 z 3))) (+.f64 (/.f64 45796100221584283915100827016327/100000000000000000000000000000 (*.f64 z z)) (/.f64 -3652704169880641883561/100000000000000000000 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (+.f64 313060547623/100000000000 (+.f64 (+.f64 (/.f64 t (*.f64 z z)) (/.f64 (+.f64 (+.f64 a -586480252826990429730394679450703430294089/100000000000000000000000000000000000000) (*.f64 t -15234687407/1000000000)) (pow.f64 z 3))) (+.f64 (/.f64 45796100221584283915100827016327/100000000000000000000000000000 (*.f64 z z)) (/.f64 -3652704169880641883561/100000000000000000000 z))))) (cbrt.f64 (+.f64 313060547623/100000000000 (+.f64 (+.f64 (/.f64 t (*.f64 z z)) (/.f64 (+.f64 (+.f64 a 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simplify166.0ms (1.1%)

Algorithm
egg-herbie
Rules
740×times-frac_binary64
344×associate-*r*_binary64
283×associate-*l*_binary64
244×fma-def_binary64
223×*-commutative_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
03177046
110616779
241286779
Stop Event
node limit
Counts
118 → 108
Calls
Call 1
Inputs
(pow.f64 x 1/3)
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(*.f64 t (-.f64 (/.f64 1 (pow.f64 z 2)) (*.f64 15234687407/1000000000 (/.f64 1 (pow.f64 z 3)))))
(-.f64 (+.f64 313060547623/100000000000 (+.f64 (*.f64 45796100221584283915100827016327/100000000000000000000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (*.f64 t (-.f64 (/.f64 1 (pow.f64 z 2)) (*.f64 15234687407/1000000000 (/.f64 1 (pow.f64 z 3))))) (/.f64 a (pow.f64 z 3))))) (+.f64 (*.f64 586480252826990429730394679450703430294089/100000000000000000000000000000000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 3652704169880641883561/100000000000000000000 (/.f64 1 z))))
(-.f64 (+.f64 313060547623/100000000000 (+.f64 (*.f64 45796100221584283915100827016327/100000000000000000000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (*.f64 t (-.f64 (/.f64 1 (pow.f64 z 2)) (*.f64 15234687407/1000000000 (/.f64 1 (pow.f64 z 3))))) (/.f64 a (pow.f64 z 3))))) (+.f64 (*.f64 586480252826990429730394679450703430294089/100000000000000000000000000000000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 3652704169880641883561/100000000000000000000 (/.f64 1 z))))
(-.f64 (+.f64 313060547623/100000000000 (+.f64 (*.f64 45796100221584283915100827016327/100000000000000000000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (*.f64 t (-.f64 (/.f64 1 (pow.f64 z 2)) (*.f64 15234687407/1000000000 (/.f64 1 (pow.f64 z 3))))) (/.f64 a (pow.f64 z 3))))) (+.f64 (*.f64 586480252826990429730394679450703430294089/100000000000000000000000000000000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 3652704169880641883561/100000000000000000000 (/.f64 1 z))))
(*.f64 -1 (*.f64 (-.f64 (*.f64 15234687407/1000000000 (/.f64 1 (pow.f64 z 3))) (/.f64 1 (pow.f64 z 2))) t))
(-.f64 (+.f64 313060547623/100000000000 (+.f64 (*.f64 45796100221584283915100827016327/100000000000000000000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (*.f64 -1 (*.f64 (-.f64 (*.f64 15234687407/1000000000 (/.f64 1 (pow.f64 z 3))) (/.f64 1 (pow.f64 z 2))) t)) (/.f64 a (pow.f64 z 3))))) (+.f64 (*.f64 586480252826990429730394679450703430294089/100000000000000000000000000000000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 3652704169880641883561/100000000000000000000 (/.f64 1 z))))
(-.f64 (+.f64 313060547623/100000000000 (+.f64 (*.f64 45796100221584283915100827016327/100000000000000000000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (*.f64 -1 (*.f64 (-.f64 (*.f64 15234687407/1000000000 (/.f64 1 (pow.f64 z 3))) (/.f64 1 (pow.f64 z 2))) t)) (/.f64 a (pow.f64 z 3))))) (+.f64 (*.f64 586480252826990429730394679450703430294089/100000000000000000000000000000000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 3652704169880641883561/100000000000000000000 (/.f64 1 z))))
(-.f64 (+.f64 313060547623/100000000000 (+.f64 (*.f64 45796100221584283915100827016327/100000000000000000000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (*.f64 -1 (*.f64 (-.f64 (*.f64 15234687407/1000000000 (/.f64 1 (pow.f64 z 3))) (/.f64 1 (pow.f64 z 2))) t)) (/.f64 a (pow.f64 z 3))))) (+.f64 (*.f64 586480252826990429730394679450703430294089/100000000000000000000000000000000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 3652704169880641883561/100000000000000000000 (/.f64 1 z))))
(/.f64 (-.f64 (+.f64 (*.f64 -15234687407/1000000000 t) a) 586480252826990429730394679450703430294089/100000000000000000000000000000000000000) (pow.f64 z 3))
(-.f64 (+.f64 (/.f64 t (pow.f64 z 2)) (+.f64 (*.f64 45796100221584283915100827016327/100000000000000000000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (/.f64 a (pow.f64 z 3)) (*.f64 -15234687407/1000000000 (/.f64 t (pow.f64 z 3)))))) (*.f64 586480252826990429730394679450703430294089/100000000000000000000000000000000000000 (/.f64 1 (pow.f64 z 3))))
(-.f64 (+.f64 (*.f64 45796100221584283915100827016327/100000000000000000000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (/.f64 t (pow.f64 z 2)) (+.f64 (/.f64 a (pow.f64 z 3)) (*.f64 -15234687407/1000000000 (/.f64 t (pow.f64 z 3)))))) (+.f64 (*.f64 586480252826990429730394679450703430294089/100000000000000000000000000000000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 3652704169880641883561/100000000000000000000 (/.f64 1 z))))
(-.f64 (+.f64 313060547623/100000000000 (+.f64 (*.f64 45796100221584283915100827016327/100000000000000000000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (/.f64 t (pow.f64 z 2)) (+.f64 (/.f64 a (pow.f64 z 3)) (*.f64 -15234687407/1000000000 (/.f64 t (pow.f64 z 3))))))) (+.f64 (*.f64 586480252826990429730394679450703430294089/100000000000000000000000000000000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 3652704169880641883561/100000000000000000000 (/.f64 1 z))))
313060547623/100000000000
(-.f64 313060547623/100000000000 (*.f64 3652704169880641883561/100000000000000000000 (/.f64 1 z)))
(-.f64 (+.f64 313060547623/100000000000 (+.f64 (*.f64 45796100221584283915100827016327/100000000000000000000000000000 (/.f64 1 (pow.f64 z 2))) (/.f64 t (pow.f64 z 2)))) (*.f64 3652704169880641883561/100000000000000000000 (/.f64 1 z)))
(-.f64 (+.f64 313060547623/100000000000 (+.f64 (*.f64 45796100221584283915100827016327/100000000000000000000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (/.f64 t (pow.f64 z 2)) (+.f64 (/.f64 a (pow.f64 z 3)) (*.f64 -15234687407/1000000000 (/.f64 t (pow.f64 z 3))))))) (+.f64 (*.f64 586480252826990429730394679450703430294089/100000000000000000000000000000000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 3652704169880641883561/100000000000000000000 (/.f64 1 z))))
313060547623/100000000000
(-.f64 313060547623/100000000000 (*.f64 3652704169880641883561/100000000000000000000 (/.f64 1 z)))
(-.f64 (+.f64 313060547623/100000000000 (+.f64 (*.f64 45796100221584283915100827016327/100000000000000000000000000000 (/.f64 1 (pow.f64 z 2))) (/.f64 t (pow.f64 z 2)))) (*.f64 3652704169880641883561/100000000000000000000 (/.f64 1 z)))
(-.f64 (+.f64 313060547623/100000000000 (+.f64 (*.f64 45796100221584283915100827016327/100000000000000000000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (/.f64 t (pow.f64 z 2)) (+.f64 (/.f64 a (pow.f64 z 3)) (*.f64 -15234687407/1000000000 (/.f64 t (pow.f64 z 3))))))) (+.f64 (*.f64 586480252826990429730394679450703430294089/100000000000000000000000000000000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 3652704169880641883561/100000000000000000000 (/.f64 1 z))))
(-.f64 (+.f64 313060547623/100000000000 (+.f64 (*.f64 45796100221584283915100827016327/100000000000000000000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (/.f64 t (pow.f64 z 2)) (*.f64 -15234687407/1000000000 (/.f64 t (pow.f64 z 3)))))) (+.f64 (*.f64 586480252826990429730394679450703430294089/100000000000000000000000000000000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 3652704169880641883561/100000000000000000000 (/.f64 1 z))))
(-.f64 (+.f64 313060547623/100000000000 (+.f64 (*.f64 45796100221584283915100827016327/100000000000000000000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (/.f64 t (pow.f64 z 2)) (+.f64 (/.f64 a (pow.f64 z 3)) (*.f64 -15234687407/1000000000 (/.f64 t (pow.f64 z 3))))))) (+.f64 (*.f64 586480252826990429730394679450703430294089/100000000000000000000000000000000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 3652704169880641883561/100000000000000000000 (/.f64 1 z))))
(-.f64 (+.f64 313060547623/100000000000 (+.f64 (*.f64 45796100221584283915100827016327/100000000000000000000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (/.f64 t (pow.f64 z 2)) (+.f64 (/.f64 a (pow.f64 z 3)) (*.f64 -15234687407/1000000000 (/.f64 t (pow.f64 z 3))))))) (+.f64 (*.f64 586480252826990429730394679450703430294089/100000000000000000000000000000000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 3652704169880641883561/100000000000000000000 (/.f64 1 z))))
(-.f64 (+.f64 313060547623/100000000000 (+.f64 (*.f64 45796100221584283915100827016327/100000000000000000000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (/.f64 t (pow.f64 z 2)) (+.f64 (/.f64 a (pow.f64 z 3)) (*.f64 -15234687407/1000000000 (/.f64 t (pow.f64 z 3))))))) (+.f64 (*.f64 586480252826990429730394679450703430294089/100000000000000000000000000000000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 3652704169880641883561/100000000000000000000 (/.f64 1 z))))
(/.f64 a (pow.f64 z 3))
(-.f64 (+.f64 313060547623/100000000000 (+.f64 (*.f64 45796100221584283915100827016327/100000000000000000000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (/.f64 t (pow.f64 z 2)) (+.f64 (/.f64 a (pow.f64 z 3)) (*.f64 -15234687407/1000000000 (/.f64 t (pow.f64 z 3))))))) (+.f64 (*.f64 586480252826990429730394679450703430294089/100000000000000000000000000000000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 3652704169880641883561/100000000000000000000 (/.f64 1 z))))
(-.f64 (+.f64 313060547623/100000000000 (+.f64 (*.f64 45796100221584283915100827016327/100000000000000000000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (/.f64 t (pow.f64 z 2)) (+.f64 (/.f64 a (pow.f64 z 3)) (*.f64 -15234687407/1000000000 (/.f64 t (pow.f64 z 3))))))) (+.f64 (*.f64 586480252826990429730394679450703430294089/100000000000000000000000000000000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 3652704169880641883561/100000000000000000000 (/.f64 1 z))))
(-.f64 (+.f64 313060547623/100000000000 (+.f64 (*.f64 45796100221584283915100827016327/100000000000000000000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (/.f64 t (pow.f64 z 2)) (+.f64 (/.f64 a (pow.f64 z 3)) (*.f64 -15234687407/1000000000 (/.f64 t (pow.f64 z 3))))))) (+.f64 (*.f64 586480252826990429730394679450703430294089/100000000000000000000000000000000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 3652704169880641883561/100000000000000000000 (/.f64 1 z))))
(/.f64 a (pow.f64 z 3))
(-.f64 (+.f64 313060547623/100000000000 (+.f64 (*.f64 45796100221584283915100827016327/100000000000000000000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (/.f64 t (pow.f64 z 2)) (+.f64 (/.f64 a (pow.f64 z 3)) (*.f64 -15234687407/1000000000 (/.f64 t (pow.f64 z 3))))))) (+.f64 (*.f64 586480252826990429730394679450703430294089/100000000000000000000000000000000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 3652704169880641883561/100000000000000000000 (/.f64 1 z))))
(-.f64 (+.f64 313060547623/100000000000 (+.f64 (*.f64 45796100221584283915100827016327/100000000000000000000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (/.f64 t (pow.f64 z 2)) (+.f64 (/.f64 a (pow.f64 z 3)) (*.f64 -15234687407/1000000000 (/.f64 t (pow.f64 z 3))))))) (+.f64 (*.f64 586480252826990429730394679450703430294089/100000000000000000000000000000000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 3652704169880641883561/100000000000000000000 (/.f64 1 z))))
(-.f64 (+.f64 313060547623/100000000000 (+.f64 (*.f64 45796100221584283915100827016327/100000000000000000000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (/.f64 t (pow.f64 z 2)) (+.f64 (/.f64 a (pow.f64 z 3)) (*.f64 -15234687407/1000000000 (/.f64 t (pow.f64 z 3))))))) (+.f64 (*.f64 586480252826990429730394679450703430294089/100000000000000000000000000000000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 3652704169880641883561/100000000000000000000 (/.f64 1 z))))
Outputs
(pow.f64 x 1/3)
(cbrt.f64 x)
(+.f64 (pow.f64 x 1/3) (*.f64 1/3 (*.f64 (*.f64 (-.f64 (+.f64 313060547623/100000000000 (+.f64 (*.f64 45796100221584283915100827016327/100000000000000000000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (/.f64 t (pow.f64 z 2)) (+.f64 (/.f64 a (pow.f64 z 3)) (*.f64 -15234687407/1000000000 (/.f64 t (pow.f64 z 3))))))) (+.f64 (*.f64 586480252826990429730394679450703430294089/100000000000000000000000000000000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 3652704169880641883561/100000000000000000000 (/.f64 1 z)))) y) (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/9))))
(+.f64 (cbrt.f64 x) (*.f64 1/3 (*.f64 (-.f64 (+.f64 (+.f64 313060547623/100000000000 (/.f64 45796100221584283915100827016327/100000000000000000000000000000 (*.f64 z z))) (+.f64 (+.f64 (/.f64 t (*.f64 z z)) (/.f64 a (pow.f64 z 3))) (/.f64 (*.f64 t -15234687407/1000000000) (pow.f64 z 3)))) (+.f64 (/.f64 586480252826990429730394679450703430294089/100000000000000000000000000000000000000 (pow.f64 z 3)) (/.f64 3652704169880641883561/100000000000000000000 z))) (*.f64 y (*.f64 (pow.f64 (/.f64 1 (*.f64 x x)) 1/18) (pow.f64 (/.f64 1 (*.f64 x x)) 1/18))))))
(fma.f64 1/3 (*.f64 (+.f64 313060547623/100000000000 (+.f64 (+.f64 (/.f64 45796100221584283915100827016327/100000000000000000000000000000 (*.f64 z z)) (/.f64 t (*.f64 z z))) (-.f64 (fma.f64 -15234687407/1000000000 (/.f64 t (pow.f64 z 3)) (/.f64 a (pow.f64 z 3))) (+.f64 (/.f64 586480252826990429730394679450703430294089/100000000000000000000000000000000000000 (pow.f64 z 3)) (/.f64 3652704169880641883561/100000000000000000000 z))))) (*.f64 (*.f64 y (pow.f64 (/.f64 1 (*.f64 x x)) 1/18)) (pow.f64 (/.f64 1 (*.f64 x x)) 1/18))) (cbrt.f64 x))
(+.f64 (*.f64 -1/9 (*.f64 (*.f64 (pow.f64 (-.f64 (+.f64 313060547623/100000000000 (+.f64 (*.f64 45796100221584283915100827016327/100000000000000000000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (/.f64 t (pow.f64 z 2)) (+.f64 (/.f64 a (pow.f64 z 3)) (*.f64 -15234687407/1000000000 (/.f64 t (pow.f64 z 3))))))) (+.f64 (*.f64 586480252826990429730394679450703430294089/100000000000000000000000000000000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 3652704169880641883561/100000000000000000000 (/.f64 1 z)))) 2) (pow.f64 y 2)) (pow.f64 (/.f64 1 (pow.f64 x 7)) 1/9))) (+.f64 (pow.f64 x 1/3) (*.f64 1/3 (*.f64 (*.f64 (-.f64 (+.f64 313060547623/100000000000 (+.f64 (*.f64 45796100221584283915100827016327/100000000000000000000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (/.f64 t (pow.f64 z 2)) (+.f64 (/.f64 a (pow.f64 z 3)) (*.f64 -15234687407/1000000000 (/.f64 t (pow.f64 z 3))))))) (+.f64 (*.f64 586480252826990429730394679450703430294089/100000000000000000000000000000000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 3652704169880641883561/100000000000000000000 (/.f64 1 z)))) y) (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/9)))))
(fma.f64 -1/9 (*.f64 (*.f64 (*.f64 y y) (pow.f64 (-.f64 (+.f64 (+.f64 313060547623/100000000000 (/.f64 45796100221584283915100827016327/100000000000000000000000000000 (*.f64 z z))) (+.f64 (+.f64 (/.f64 t (*.f64 z z)) (/.f64 a (pow.f64 z 3))) (/.f64 (*.f64 t -15234687407/1000000000) (pow.f64 z 3)))) (+.f64 (/.f64 586480252826990429730394679450703430294089/100000000000000000000000000000000000000 (pow.f64 z 3)) (/.f64 3652704169880641883561/100000000000000000000 z))) 2)) (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 x 7)) 1/18))) (+.f64 (cbrt.f64 x) (*.f64 1/3 (*.f64 (-.f64 (+.f64 (+.f64 313060547623/100000000000 (/.f64 45796100221584283915100827016327/100000000000000000000000000000 (*.f64 z z))) (+.f64 (+.f64 (/.f64 t (*.f64 z z)) (/.f64 a (pow.f64 z 3))) (/.f64 (*.f64 t -15234687407/1000000000) (pow.f64 z 3)))) (+.f64 (/.f64 586480252826990429730394679450703430294089/100000000000000000000000000000000000000 (pow.f64 z 3)) (/.f64 3652704169880641883561/100000000000000000000 z))) (*.f64 y (*.f64 (pow.f64 (/.f64 1 (*.f64 x x)) 1/18) (pow.f64 (/.f64 1 (*.f64 x x)) 1/18)))))))
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(-.f64 (+.f64 313060547623/100000000000 (+.f64 (*.f64 45796100221584283915100827016327/100000000000000000000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (/.f64 t (pow.f64 z 2)) (+.f64 (/.f64 a (pow.f64 z 3)) (*.f64 -15234687407/1000000000 (/.f64 t (pow.f64 z 3))))))) (+.f64 (*.f64 586480252826990429730394679450703430294089/100000000000000000000000000000000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 3652704169880641883561/100000000000000000000 (/.f64 1 z))))
(-.f64 (+.f64 (+.f64 313060547623/100000000000 (/.f64 45796100221584283915100827016327/100000000000000000000000000000 (*.f64 z z))) (+.f64 (+.f64 (/.f64 t (*.f64 z z)) (/.f64 a (pow.f64 z 3))) (/.f64 (*.f64 t -15234687407/1000000000) (pow.f64 z 3)))) (+.f64 (/.f64 586480252826990429730394679450703430294089/100000000000000000000000000000000000000 (pow.f64 z 3)) (/.f64 3652704169880641883561/100000000000000000000 z)))
(+.f64 313060547623/100000000000 (+.f64 (+.f64 (/.f64 45796100221584283915100827016327/100000000000000000000000000000 (*.f64 z z)) (/.f64 t (*.f64 z z))) (-.f64 (fma.f64 -15234687407/1000000000 (/.f64 t (pow.f64 z 3)) (/.f64 a (pow.f64 z 3))) (+.f64 (/.f64 586480252826990429730394679450703430294089/100000000000000000000000000000000000000 (pow.f64 z 3)) (/.f64 3652704169880641883561/100000000000000000000 z)))))
(/.f64 a (pow.f64 z 3))
(-.f64 (+.f64 313060547623/100000000000 (+.f64 (*.f64 45796100221584283915100827016327/100000000000000000000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (/.f64 t (pow.f64 z 2)) (+.f64 (/.f64 a (pow.f64 z 3)) (*.f64 -15234687407/1000000000 (/.f64 t (pow.f64 z 3))))))) (+.f64 (*.f64 586480252826990429730394679450703430294089/100000000000000000000000000000000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 3652704169880641883561/100000000000000000000 (/.f64 1 z))))
(-.f64 (+.f64 (+.f64 313060547623/100000000000 (/.f64 45796100221584283915100827016327/100000000000000000000000000000 (*.f64 z z))) (+.f64 (+.f64 (/.f64 t (*.f64 z z)) (/.f64 a (pow.f64 z 3))) (/.f64 (*.f64 t -15234687407/1000000000) (pow.f64 z 3)))) (+.f64 (/.f64 586480252826990429730394679450703430294089/100000000000000000000000000000000000000 (pow.f64 z 3)) (/.f64 3652704169880641883561/100000000000000000000 z)))
(+.f64 313060547623/100000000000 (+.f64 (+.f64 (/.f64 45796100221584283915100827016327/100000000000000000000000000000 (*.f64 z z)) (/.f64 t (*.f64 z z))) (-.f64 (fma.f64 -15234687407/1000000000 (/.f64 t (pow.f64 z 3)) (/.f64 a (pow.f64 z 3))) (+.f64 (/.f64 586480252826990429730394679450703430294089/100000000000000000000000000000000000000 (pow.f64 z 3)) (/.f64 3652704169880641883561/100000000000000000000 z)))))
(-.f64 (+.f64 313060547623/100000000000 (+.f64 (*.f64 45796100221584283915100827016327/100000000000000000000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (/.f64 t (pow.f64 z 2)) (+.f64 (/.f64 a (pow.f64 z 3)) (*.f64 -15234687407/1000000000 (/.f64 t (pow.f64 z 3))))))) (+.f64 (*.f64 586480252826990429730394679450703430294089/100000000000000000000000000000000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 3652704169880641883561/100000000000000000000 (/.f64 1 z))))
(-.f64 (+.f64 (+.f64 313060547623/100000000000 (/.f64 45796100221584283915100827016327/100000000000000000000000000000 (*.f64 z z))) (+.f64 (+.f64 (/.f64 t (*.f64 z z)) (/.f64 a (pow.f64 z 3))) (/.f64 (*.f64 t -15234687407/1000000000) (pow.f64 z 3)))) (+.f64 (/.f64 586480252826990429730394679450703430294089/100000000000000000000000000000000000000 (pow.f64 z 3)) (/.f64 3652704169880641883561/100000000000000000000 z)))
(+.f64 313060547623/100000000000 (+.f64 (+.f64 (/.f64 45796100221584283915100827016327/100000000000000000000000000000 (*.f64 z z)) (/.f64 t (*.f64 z z))) (-.f64 (fma.f64 -15234687407/1000000000 (/.f64 t (pow.f64 z 3)) (/.f64 a (pow.f64 z 3))) (+.f64 (/.f64 586480252826990429730394679450703430294089/100000000000000000000000000000000000000 (pow.f64 z 3)) (/.f64 3652704169880641883561/100000000000000000000 z)))))
(-.f64 (+.f64 313060547623/100000000000 (+.f64 (*.f64 45796100221584283915100827016327/100000000000000000000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (/.f64 t (pow.f64 z 2)) (+.f64 (/.f64 a (pow.f64 z 3)) (*.f64 -15234687407/1000000000 (/.f64 t (pow.f64 z 3))))))) (+.f64 (*.f64 586480252826990429730394679450703430294089/100000000000000000000000000000000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 3652704169880641883561/100000000000000000000 (/.f64 1 z))))
(-.f64 (+.f64 (+.f64 313060547623/100000000000 (/.f64 45796100221584283915100827016327/100000000000000000000000000000 (*.f64 z z))) (+.f64 (+.f64 (/.f64 t (*.f64 z z)) (/.f64 a (pow.f64 z 3))) (/.f64 (*.f64 t -15234687407/1000000000) (pow.f64 z 3)))) (+.f64 (/.f64 586480252826990429730394679450703430294089/100000000000000000000000000000000000000 (pow.f64 z 3)) (/.f64 3652704169880641883561/100000000000000000000 z)))
(+.f64 313060547623/100000000000 (+.f64 (+.f64 (/.f64 45796100221584283915100827016327/100000000000000000000000000000 (*.f64 z z)) (/.f64 t (*.f64 z z))) (-.f64 (fma.f64 -15234687407/1000000000 (/.f64 t (pow.f64 z 3)) (/.f64 a (pow.f64 z 3))) (+.f64 (/.f64 586480252826990429730394679450703430294089/100000000000000000000000000000000000000 (pow.f64 z 3)) (/.f64 3652704169880641883561/100000000000000000000 z)))))
(/.f64 a (pow.f64 z 3))
(-.f64 (+.f64 313060547623/100000000000 (+.f64 (*.f64 45796100221584283915100827016327/100000000000000000000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (/.f64 t (pow.f64 z 2)) (+.f64 (/.f64 a (pow.f64 z 3)) (*.f64 -15234687407/1000000000 (/.f64 t (pow.f64 z 3))))))) (+.f64 (*.f64 586480252826990429730394679450703430294089/100000000000000000000000000000000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 3652704169880641883561/100000000000000000000 (/.f64 1 z))))
(-.f64 (+.f64 (+.f64 313060547623/100000000000 (/.f64 45796100221584283915100827016327/100000000000000000000000000000 (*.f64 z z))) (+.f64 (+.f64 (/.f64 t (*.f64 z z)) (/.f64 a (pow.f64 z 3))) (/.f64 (*.f64 t -15234687407/1000000000) (pow.f64 z 3)))) (+.f64 (/.f64 586480252826990429730394679450703430294089/100000000000000000000000000000000000000 (pow.f64 z 3)) (/.f64 3652704169880641883561/100000000000000000000 z)))
(+.f64 313060547623/100000000000 (+.f64 (+.f64 (/.f64 45796100221584283915100827016327/100000000000000000000000000000 (*.f64 z z)) (/.f64 t (*.f64 z z))) (-.f64 (fma.f64 -15234687407/1000000000 (/.f64 t (pow.f64 z 3)) (/.f64 a (pow.f64 z 3))) (+.f64 (/.f64 586480252826990429730394679450703430294089/100000000000000000000000000000000000000 (pow.f64 z 3)) (/.f64 3652704169880641883561/100000000000000000000 z)))))
(-.f64 (+.f64 313060547623/100000000000 (+.f64 (*.f64 45796100221584283915100827016327/100000000000000000000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (/.f64 t (pow.f64 z 2)) (+.f64 (/.f64 a (pow.f64 z 3)) (*.f64 -15234687407/1000000000 (/.f64 t (pow.f64 z 3))))))) (+.f64 (*.f64 586480252826990429730394679450703430294089/100000000000000000000000000000000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 3652704169880641883561/100000000000000000000 (/.f64 1 z))))
(-.f64 (+.f64 (+.f64 313060547623/100000000000 (/.f64 45796100221584283915100827016327/100000000000000000000000000000 (*.f64 z z))) (+.f64 (+.f64 (/.f64 t (*.f64 z z)) (/.f64 a (pow.f64 z 3))) (/.f64 (*.f64 t -15234687407/1000000000) (pow.f64 z 3)))) (+.f64 (/.f64 586480252826990429730394679450703430294089/100000000000000000000000000000000000000 (pow.f64 z 3)) (/.f64 3652704169880641883561/100000000000000000000 z)))
(+.f64 313060547623/100000000000 (+.f64 (+.f64 (/.f64 45796100221584283915100827016327/100000000000000000000000000000 (*.f64 z z)) (/.f64 t (*.f64 z z))) (-.f64 (fma.f64 -15234687407/1000000000 (/.f64 t (pow.f64 z 3)) (/.f64 a (pow.f64 z 3))) (+.f64 (/.f64 586480252826990429730394679450703430294089/100000000000000000000000000000000000000 (pow.f64 z 3)) (/.f64 3652704169880641883561/100000000000000000000 z)))))
(-.f64 (+.f64 313060547623/100000000000 (+.f64 (*.f64 45796100221584283915100827016327/100000000000000000000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (/.f64 t (pow.f64 z 2)) (+.f64 (/.f64 a (pow.f64 z 3)) (*.f64 -15234687407/1000000000 (/.f64 t (pow.f64 z 3))))))) (+.f64 (*.f64 586480252826990429730394679450703430294089/100000000000000000000000000000000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 3652704169880641883561/100000000000000000000 (/.f64 1 z))))
(-.f64 (+.f64 (+.f64 313060547623/100000000000 (/.f64 45796100221584283915100827016327/100000000000000000000000000000 (*.f64 z z))) (+.f64 (+.f64 (/.f64 t (*.f64 z z)) (/.f64 a (pow.f64 z 3))) (/.f64 (*.f64 t -15234687407/1000000000) (pow.f64 z 3)))) (+.f64 (/.f64 586480252826990429730394679450703430294089/100000000000000000000000000000000000000 (pow.f64 z 3)) (/.f64 3652704169880641883561/100000000000000000000 z)))
(+.f64 313060547623/100000000000 (+.f64 (+.f64 (/.f64 45796100221584283915100827016327/100000000000000000000000000000 (*.f64 z z)) (/.f64 t (*.f64 z z))) (-.f64 (fma.f64 -15234687407/1000000000 (/.f64 t (pow.f64 z 3)) (/.f64 a (pow.f64 z 3))) (+.f64 (/.f64 586480252826990429730394679450703430294089/100000000000000000000000000000000000000 (pow.f64 z 3)) (/.f64 3652704169880641883561/100000000000000000000 z)))))

prune1.2s (8.5%)

Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New3762378
Fresh055
Picked011
Done011
Total3769385
Error
0.0b
Counts
385 → 9
Alt Table
StatusErrorProgram
33.5b
(fma.f64 y (/.f64 (+.f64 b (*.f64 (pow.f64 z 2) (+.f64 (*.f64 (+.f64 (*.f64 313060547623/100000000000 z) 55833770631/5000000000) z) t))) (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000)) x)
28.6b
(fma.f64 y (+.f64 313060547623/100000000000 (+.f64 (+.f64 (/.f64 (/.f64 t z) z) (/.f64 (+.f64 a (+.f64 -586480252826990429730394679450703430294089/100000000000000000000000000000000000000 (*.f64 t -15234687407/1000000000))) (pow.f64 z 3))) (+.f64 (/.f64 45796100221584283915100827016327/100000000000000000000000000000 (*.f64 z z)) (/.f64 -3652704169880641883561/100000000000000000000 z)))) x)
29.3b
(*.f64 (*.f64 (cbrt.f64 (fma.f64 y (+.f64 (+.f64 313060547623/100000000000 (+.f64 (/.f64 t (*.f64 z z)) (/.f64 (+.f64 a (+.f64 -586480252826990429730394679450703430294089/100000000000000000000000000000000000000 (*.f64 t -15234687407/1000000000))) (pow.f64 z 3)))) (+.f64 (/.f64 45796100221584283915100827016327/100000000000000000000000000000 (*.f64 z z)) (/.f64 -3652704169880641883561/100000000000000000000 z))) x)) (cbrt.f64 (fma.f64 y (+.f64 (+.f64 313060547623/100000000000 (+.f64 (/.f64 t (*.f64 z z)) (/.f64 (+.f64 a (+.f64 -586480252826990429730394679450703430294089/100000000000000000000000000000000000000 (*.f64 t -15234687407/1000000000))) (pow.f64 z 3)))) (+.f64 (/.f64 45796100221584283915100827016327/100000000000000000000000000000 (*.f64 z z)) (/.f64 -3652704169880641883561/100000000000000000000 z))) x))) (cbrt.f64 (fma.f64 y (+.f64 (+.f64 313060547623/100000000000 (+.f64 (/.f64 t (*.f64 z z)) (/.f64 (+.f64 a (+.f64 -586480252826990429730394679450703430294089/100000000000000000000000000000000000000 (*.f64 t -15234687407/1000000000))) (pow.f64 z 3)))) (+.f64 (/.f64 45796100221584283915100827016327/100000000000000000000000000000 (*.f64 z z)) (/.f64 -3652704169880641883561/100000000000000000000 z))) x)))
30.8b
(+.f64 (*.f64 y (*.f64 (-.f64 (*.f64 1000000000000/607771387771 a) (*.f64 11940090572100000000000000/369386059793087248348441 b)) z)) (+.f64 x (*.f64 1000000000000/607771387771 (*.f64 y b))))
29.3b
(*.f64 (*.f64 (cbrt.f64 (fma.f64 y (+.f64 (+.f64 313060547623/100000000000 (+.f64 (/.f64 t (*.f64 z z)) (/.f64 (+.f64 a (+.f64 -586480252826990429730394679450703430294089/100000000000000000000000000000000000000 (*.f64 t -15234687407/1000000000))) (pow.f64 z 3)))) (+.f64 (/.f64 45796100221584283915100827016327/100000000000000000000000000000 (*.f64 z z)) (/.f64 -3652704169880641883561/100000000000000000000 z))) x)) (cbrt.f64 (fma.f64 y (+.f64 (+.f64 313060547623/100000000000 (+.f64 (/.f64 t (*.f64 z z)) (/.f64 (+.f64 a (+.f64 -586480252826990429730394679450703430294089/100000000000000000000000000000000000000 (*.f64 t -15234687407/1000000000))) (pow.f64 z 3)))) (+.f64 (/.f64 45796100221584283915100827016327/100000000000000000000000000000 (*.f64 z z)) (/.f64 -3652704169880641883561/100000000000000000000 z))) x))) (cbrt.f64 (fma.f64 y (*.f64 (*.f64 (cbrt.f64 (+.f64 313060547623/100000000000 (+.f64 (+.f64 (/.f64 t (*.f64 z z)) (/.f64 (+.f64 (+.f64 a -586480252826990429730394679450703430294089/100000000000000000000000000000000000000) (*.f64 t -15234687407/1000000000)) (pow.f64 z 3))) (+.f64 (/.f64 45796100221584283915100827016327/100000000000000000000000000000 (*.f64 z z)) (/.f64 -3652704169880641883561/100000000000000000000 z))))) (cbrt.f64 (+.f64 313060547623/100000000000 (+.f64 (+.f64 (/.f64 t (*.f64 z z)) (/.f64 (+.f64 (+.f64 a -586480252826990429730394679450703430294089/100000000000000000000000000000000000000) (*.f64 t -15234687407/1000000000)) (pow.f64 z 3))) (+.f64 (/.f64 45796100221584283915100827016327/100000000000000000000000000000 (*.f64 z z)) (/.f64 -3652704169880641883561/100000000000000000000 z)))))) (cbrt.f64 (+.f64 313060547623/100000000000 (+.f64 (+.f64 (/.f64 t (*.f64 z z)) (/.f64 (+.f64 (+.f64 a -586480252826990429730394679450703430294089/100000000000000000000000000000000000000) (*.f64 t -15234687407/1000000000)) (pow.f64 z 3))) (+.f64 (/.f64 45796100221584283915100827016327/100000000000000000000000000000 (*.f64 z z)) (/.f64 -3652704169880641883561/100000000000000000000 z)))))) x)))
29.4b
(fma.f64 (/.f64 y (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000)) (fma.f64 z (fma.f64 z (fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t) a) b) x)
29.4b
(fma.f64 y (pow.f64 (cbrt.f64 (/.f64 (fma.f64 z (fma.f64 z (fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t) a) b) (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000))) 3) x)
30.4b
(+.f64 x (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 z 313060547623/100000000000) 55833770631/5000000000) z) t) z) a) z) b)) (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 z 15234687407/1000000000) z) 314690115749/10000000000) z) 119400905721/10000000000) z) 607771387771/1000000000000)))
49.1b
(*.f64 (*.f64 (cbrt.f64 (fma.f64 y (+.f64 (+.f64 313060547623/100000000000 (+.f64 (/.f64 t (*.f64 z z)) (/.f64 (+.f64 a (+.f64 -586480252826990429730394679450703430294089/100000000000000000000000000000000000000 (*.f64 t -15234687407/1000000000))) (pow.f64 z 3)))) (+.f64 (/.f64 45796100221584283915100827016327/100000000000000000000000000000 (*.f64 z z)) (/.f64 -3652704169880641883561/100000000000000000000 z))) x)) (cbrt.f64 (fma.f64 y (+.f64 (+.f64 313060547623/100000000000 (+.f64 (/.f64 t (*.f64 z z)) (/.f64 (+.f64 a (+.f64 -586480252826990429730394679450703430294089/100000000000000000000000000000000000000 (*.f64 t -15234687407/1000000000))) (pow.f64 z 3)))) (+.f64 (/.f64 45796100221584283915100827016327/100000000000000000000000000000 (*.f64 z z)) (/.f64 -3652704169880641883561/100000000000000000000 z))) x))) (pow.f64 (+.f64 (*.f64 313060547623/100000000000 y) x) 1/3))
Compiler

Compiled 55384 to 35815 computations (35.3% saved)

localize49.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
9.8b
(/.f64 t (*.f64 z z))
15.6b
(cbrt.f64 (fma.f64 y (+.f64 (+.f64 313060547623/100000000000 (+.f64 (/.f64 t (*.f64 z z)) (/.f64 (+.f64 a (+.f64 -586480252826990429730394679450703430294089/100000000000000000000000000000000000000 (*.f64 t -15234687407/1000000000))) (pow.f64 z 3)))) (+.f64 (/.f64 45796100221584283915100827016327/100000000000000000000000000000 (*.f64 z z)) (/.f64 -3652704169880641883561/100000000000000000000 z))) x))
15.6b
(cbrt.f64 (fma.f64 y (*.f64 (*.f64 (cbrt.f64 (+.f64 313060547623/100000000000 (+.f64 (+.f64 (/.f64 t (*.f64 z z)) (/.f64 (+.f64 (+.f64 a -586480252826990429730394679450703430294089/100000000000000000000000000000000000000) (*.f64 t -15234687407/1000000000)) (pow.f64 z 3))) (+.f64 (/.f64 45796100221584283915100827016327/100000000000000000000000000000 (*.f64 z z)) (/.f64 -3652704169880641883561/100000000000000000000 z))))) (cbrt.f64 (+.f64 313060547623/100000000000 (+.f64 (+.f64 (/.f64 t (*.f64 z z)) (/.f64 (+.f64 (+.f64 a -586480252826990429730394679450703430294089/100000000000000000000000000000000000000) (*.f64 t -15234687407/1000000000)) (pow.f64 z 3))) (+.f64 (/.f64 45796100221584283915100827016327/100000000000000000000000000000 (*.f64 z z)) (/.f64 -3652704169880641883561/100000000000000000000 z)))))) (cbrt.f64 (+.f64 313060547623/100000000000 (+.f64 (+.f64 (/.f64 t (*.f64 z z)) (/.f64 (+.f64 (+.f64 a -586480252826990429730394679450703430294089/100000000000000000000000000000000000000) (*.f64 t -15234687407/1000000000)) (pow.f64 z 3))) (+.f64 (/.f64 45796100221584283915100827016327/100000000000000000000000000000 (*.f64 z z)) (/.f64 -3652704169880641883561/100000000000000000000 z)))))) x))
17.4b
(cbrt.f64 (+.f64 313060547623/100000000000 (+.f64 (+.f64 (/.f64 t (*.f64 z z)) (/.f64 (+.f64 (+.f64 a -586480252826990429730394679450703430294089/100000000000000000000000000000000000000) (*.f64 t -15234687407/1000000000)) (pow.f64 z 3))) (+.f64 (/.f64 45796100221584283915100827016327/100000000000000000000000000000 (*.f64 z z)) (/.f64 -3652704169880641883561/100000000000000000000 z)))))

series28.0ms (0.2%)

Counts
2 → 48
Calls

24 calls:

TimeVariablePointExpression
4.0ms
t
@0
(cbrt.f64 (+.f64 313060547623/100000000000 (+.f64 (+.f64 (/.f64 t (*.f64 z z)) (/.f64 (+.f64 (+.f64 a -586480252826990429730394679450703430294089/100000000000000000000000000000000000000) (*.f64 t -15234687407/1000000000)) (pow.f64 z 3))) (+.f64 (/.f64 45796100221584283915100827016327/100000000000000000000000000000 (*.f64 z z)) (/.f64 -3652704169880641883561/100000000000000000000 z)))))
4.0ms
x
@0
(cbrt.f64 (fma.f64 y (*.f64 (*.f64 (cbrt.f64 (+.f64 313060547623/100000000000 (+.f64 (+.f64 (/.f64 t (*.f64 z z)) (/.f64 (+.f64 (+.f64 a -586480252826990429730394679450703430294089/100000000000000000000000000000000000000) (*.f64 t -15234687407/1000000000)) (pow.f64 z 3))) (+.f64 (/.f64 45796100221584283915100827016327/100000000000000000000000000000 (*.f64 z z)) (/.f64 -3652704169880641883561/100000000000000000000 z))))) (cbrt.f64 (+.f64 313060547623/100000000000 (+.f64 (+.f64 (/.f64 t (*.f64 z z)) (/.f64 (+.f64 (+.f64 a -586480252826990429730394679450703430294089/100000000000000000000000000000000000000) (*.f64 t -15234687407/1000000000)) (pow.f64 z 3))) (+.f64 (/.f64 45796100221584283915100827016327/100000000000000000000000000000 (*.f64 z z)) (/.f64 -3652704169880641883561/100000000000000000000 z)))))) (cbrt.f64 (+.f64 313060547623/100000000000 (+.f64 (+.f64 (/.f64 t (*.f64 z z)) (/.f64 (+.f64 (+.f64 a -586480252826990429730394679450703430294089/100000000000000000000000000000000000000) (*.f64 t -15234687407/1000000000)) (pow.f64 z 3))) (+.f64 (/.f64 45796100221584283915100827016327/100000000000000000000000000000 (*.f64 z z)) (/.f64 -3652704169880641883561/100000000000000000000 z)))))) x))
3.0ms
a
@0
(cbrt.f64 (+.f64 313060547623/100000000000 (+.f64 (+.f64 (/.f64 t (*.f64 z z)) (/.f64 (+.f64 (+.f64 a -586480252826990429730394679450703430294089/100000000000000000000000000000000000000) (*.f64 t -15234687407/1000000000)) (pow.f64 z 3))) (+.f64 (/.f64 45796100221584283915100827016327/100000000000000000000000000000 (*.f64 z z)) (/.f64 -3652704169880641883561/100000000000000000000 z)))))
2.0ms
z
@0
(cbrt.f64 (+.f64 313060547623/100000000000 (+.f64 (+.f64 (/.f64 t (*.f64 z z)) (/.f64 (+.f64 (+.f64 a -586480252826990429730394679450703430294089/100000000000000000000000000000000000000) (*.f64 t -15234687407/1000000000)) (pow.f64 z 3))) (+.f64 (/.f64 45796100221584283915100827016327/100000000000000000000000000000 (*.f64 z z)) (/.f64 -3652704169880641883561/100000000000000000000 z)))))
2.0ms
z
@inf
(cbrt.f64 (+.f64 313060547623/100000000000 (+.f64 (+.f64 (/.f64 t (*.f64 z z)) (/.f64 (+.f64 (+.f64 a -586480252826990429730394679450703430294089/100000000000000000000000000000000000000) (*.f64 t -15234687407/1000000000)) (pow.f64 z 3))) (+.f64 (/.f64 45796100221584283915100827016327/100000000000000000000000000000 (*.f64 z z)) (/.f64 -3652704169880641883561/100000000000000000000 z)))))

rewrite47.0ms (0.3%)

Algorithm
batch-egg-rewrite
Rules
336×pow1_binary64
332×add-cbrt-cube_binary64
331×add-cube-cbrt_binary64
331×add-log-exp_binary64
331×log1p-expm1-u_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03094
170494
Stop Event
node limit
Counts
2 → 18
Calls
Call 1
Inputs
(cbrt.f64 (+.f64 313060547623/100000000000 (+.f64 (+.f64 (/.f64 t (*.f64 z z)) (/.f64 (+.f64 (+.f64 a -586480252826990429730394679450703430294089/100000000000000000000000000000000000000) (*.f64 t -15234687407/1000000000)) (pow.f64 z 3))) (+.f64 (/.f64 45796100221584283915100827016327/100000000000000000000000000000 (*.f64 z z)) (/.f64 -3652704169880641883561/100000000000000000000 z)))))
(cbrt.f64 (fma.f64 y (*.f64 (*.f64 (cbrt.f64 (+.f64 313060547623/100000000000 (+.f64 (+.f64 (/.f64 t (*.f64 z z)) (/.f64 (+.f64 (+.f64 a -586480252826990429730394679450703430294089/100000000000000000000000000000000000000) (*.f64 t -15234687407/1000000000)) (pow.f64 z 3))) (+.f64 (/.f64 45796100221584283915100827016327/100000000000000000000000000000 (*.f64 z z)) (/.f64 -3652704169880641883561/100000000000000000000 z))))) (cbrt.f64 (+.f64 313060547623/100000000000 (+.f64 (+.f64 (/.f64 t (*.f64 z z)) (/.f64 (+.f64 (+.f64 a -586480252826990429730394679450703430294089/100000000000000000000000000000000000000) (*.f64 t -15234687407/1000000000)) (pow.f64 z 3))) (+.f64 (/.f64 45796100221584283915100827016327/100000000000000000000000000000 (*.f64 z z)) (/.f64 -3652704169880641883561/100000000000000000000 z)))))) (cbrt.f64 (+.f64 313060547623/100000000000 (+.f64 (+.f64 (/.f64 t (*.f64 z z)) (/.f64 (+.f64 (+.f64 a -586480252826990429730394679450703430294089/100000000000000000000000000000000000000) (*.f64 t -15234687407/1000000000)) (pow.f64 z 3))) (+.f64 (/.f64 45796100221584283915100827016327/100000000000000000000000000000 (*.f64 z z)) (/.f64 -3652704169880641883561/100000000000000000000 z)))))) x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (+.f64 313060547623/100000000000 (+.f64 (/.f64 (/.f64 t z) z) (+.f64 (/.f64 (+.f64 a (+.f64 -586480252826990429730394679450703430294089/100000000000000000000000000000000000000 (*.f64 t -15234687407/1000000000))) (pow.f64 z 3)) (+.f64 (/.f64 45796100221584283915100827016327/100000000000000000000000000000 (*.f64 z z)) (/.f64 -3652704169880641883561/100000000000000000000 z)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (cbrt.f64 (+.f64 313060547623/100000000000 (+.f64 (/.f64 (/.f64 t z) z) (+.f64 (/.f64 (+.f64 a (+.f64 -586480252826990429730394679450703430294089/100000000000000000000000000000000000000 (*.f64 t -15234687407/1000000000))) (pow.f64 z 3)) (+.f64 (/.f64 45796100221584283915100827016327/100000000000000000000000000000 (*.f64 z z)) (/.f64 -3652704169880641883561/100000000000000000000 z))))))) (cbrt.f64 (cbrt.f64 (+.f64 313060547623/100000000000 (+.f64 (/.f64 (/.f64 t z) z) (+.f64 (/.f64 (+.f64 a (+.f64 -586480252826990429730394679450703430294089/100000000000000000000000000000000000000 (*.f64 t -15234687407/1000000000))) (pow.f64 z 3)) (+.f64 (/.f64 45796100221584283915100827016327/100000000000000000000000000000 (*.f64 z z)) (/.f64 -3652704169880641883561/100000000000000000000 z)))))))) (cbrt.f64 (cbrt.f64 (+.f64 313060547623/100000000000 (+.f64 (/.f64 (/.f64 t z) z) (+.f64 (/.f64 (+.f64 a (+.f64 -586480252826990429730394679450703430294089/100000000000000000000000000000000000000 (*.f64 t -15234687407/1000000000))) (pow.f64 z 3)) (+.f64 (/.f64 45796100221584283915100827016327/100000000000000000000000000000 (*.f64 z z)) (/.f64 -3652704169880641883561/100000000000000000000 z))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (+.f64 313060547623/100000000000 (+.f64 (/.f64 (/.f64 t z) z) (+.f64 (/.f64 (+.f64 a (+.f64 -586480252826990429730394679450703430294089/100000000000000000000000000000000000000 (*.f64 t -15234687407/1000000000))) (pow.f64 z 3)) (+.f64 (/.f64 45796100221584283915100827016327/100000000000000000000000000000 (*.f64 z z)) (/.f64 -3652704169880641883561/100000000000000000000 z))))))) (sqrt.f64 (cbrt.f64 (+.f64 313060547623/100000000000 (+.f64 (/.f64 (/.f64 t z) z) (+.f64 (/.f64 (+.f64 a (+.f64 -586480252826990429730394679450703430294089/100000000000000000000000000000000000000 (*.f64 t -15234687407/1000000000))) (pow.f64 z 3)) (+.f64 (/.f64 45796100221584283915100827016327/100000000000000000000000000000 (*.f64 z z)) (/.f64 -3652704169880641883561/100000000000000000000 z))))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 313060547623/100000000000 (+.f64 (/.f64 (/.f64 t z) z) (+.f64 (/.f64 (+.f64 a (+.f64 -586480252826990429730394679450703430294089/100000000000000000000000000000000000000 (*.f64 t -15234687407/1000000000))) (pow.f64 z 3)) (+.f64 (/.f64 45796100221584283915100827016327/100000000000000000000000000000 (*.f64 z z)) (/.f64 -3652704169880641883561/100000000000000000000 z)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 313060547623/100000000000 (+.f64 (/.f64 (/.f64 t z) z) (+.f64 (/.f64 (+.f64 a (+.f64 -586480252826990429730394679450703430294089/100000000000000000000000000000000000000 (*.f64 t -15234687407/1000000000))) (pow.f64 z 3)) (+.f64 (/.f64 45796100221584283915100827016327/100000000000000000000000000000 (*.f64 z z)) (/.f64 -3652704169880641883561/100000000000000000000 z))))) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (+.f64 313060547623/100000000000 (+.f64 (/.f64 (/.f64 t z) z) (+.f64 (/.f64 (+.f64 a (+.f64 -586480252826990429730394679450703430294089/100000000000000000000000000000000000000 (*.f64 t -15234687407/1000000000))) (pow.f64 z 3)) (+.f64 (/.f64 45796100221584283915100827016327/100000000000000000000000000000 (*.f64 z z)) (/.f64 -3652704169880641883561/100000000000000000000 z))))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (+.f64 313060547623/100000000000 (+.f64 (/.f64 (/.f64 t z) z) (+.f64 (/.f64 (+.f64 a (+.f64 -586480252826990429730394679450703430294089/100000000000000000000000000000000000000 (*.f64 t -15234687407/1000000000))) (pow.f64 z 3)) (+.f64 (/.f64 45796100221584283915100827016327/100000000000000000000000000000 (*.f64 z z)) (/.f64 -3652704169880641883561/100000000000000000000 z))))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (+.f64 313060547623/100000000000 (+.f64 (/.f64 (/.f64 t z) z) (+.f64 (/.f64 (+.f64 a (+.f64 -586480252826990429730394679450703430294089/100000000000000000000000000000000000000 (*.f64 t -15234687407/1000000000))) (pow.f64 z 3)) (+.f64 (/.f64 45796100221584283915100827016327/100000000000000000000000000000 (*.f64 z z)) (/.f64 -3652704169880641883561/100000000000000000000 z))))))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (+.f64 313060547623/100000000000 (+.f64 (/.f64 (/.f64 t z) z) (+.f64 (/.f64 (+.f64 a (+.f64 -586480252826990429730394679450703430294089/100000000000000000000000000000000000000 (*.f64 t -15234687407/1000000000))) (pow.f64 z 3)) (+.f64 (/.f64 45796100221584283915100827016327/100000000000000000000000000000 (*.f64 z z)) (/.f64 -3652704169880641883561/100000000000000000000 z))))))))))))
((#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (fma.f64 y (+.f64 313060547623/100000000000 (+.f64 (/.f64 (/.f64 t z) z) (+.f64 (/.f64 (+.f64 a (+.f64 -586480252826990429730394679450703430294089/100000000000000000000000000000000000000 (*.f64 t -15234687407/1000000000))) (pow.f64 z 3)) (+.f64 (/.f64 45796100221584283915100827016327/100000000000000000000000000000 (*.f64 z z)) (/.f64 -3652704169880641883561/100000000000000000000 z))))) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y (+.f64 313060547623/100000000000 (+.f64 (/.f64 (/.f64 t z) z) (+.f64 (/.f64 (+.f64 a (+.f64 -586480252826990429730394679450703430294089/100000000000000000000000000000000000000 (*.f64 t -15234687407/1000000000))) (pow.f64 z 3)) (+.f64 (/.f64 45796100221584283915100827016327/100000000000000000000000000000 (*.f64 z z)) (/.f64 -3652704169880641883561/100000000000000000000 z))))) x))) (cbrt.f64 (cbrt.f64 (fma.f64 y (+.f64 313060547623/100000000000 (+.f64 (/.f64 (/.f64 t z) z) (+.f64 (/.f64 (+.f64 a (+.f64 -586480252826990429730394679450703430294089/100000000000000000000000000000000000000 (*.f64 t -15234687407/1000000000))) (pow.f64 z 3)) (+.f64 (/.f64 45796100221584283915100827016327/100000000000000000000000000000 (*.f64 z z)) (/.f64 -3652704169880641883561/100000000000000000000 z))))) x)))) (cbrt.f64 (cbrt.f64 (fma.f64 y (+.f64 313060547623/100000000000 (+.f64 (/.f64 (/.f64 t z) z) (+.f64 (/.f64 (+.f64 a (+.f64 -586480252826990429730394679450703430294089/100000000000000000000000000000000000000 (*.f64 t -15234687407/1000000000))) (pow.f64 z 3)) (+.f64 (/.f64 45796100221584283915100827016327/100000000000000000000000000000 (*.f64 z z)) (/.f64 -3652704169880641883561/100000000000000000000 z))))) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (fma.f64 y (+.f64 313060547623/100000000000 (+.f64 (/.f64 (/.f64 t z) z) (+.f64 (/.f64 (+.f64 a (+.f64 -586480252826990429730394679450703430294089/100000000000000000000000000000000000000 (*.f64 t -15234687407/1000000000))) (pow.f64 z 3)) (+.f64 (/.f64 45796100221584283915100827016327/100000000000000000000000000000 (*.f64 z z)) (/.f64 -3652704169880641883561/100000000000000000000 z))))) x))) (sqrt.f64 (cbrt.f64 (fma.f64 y (+.f64 313060547623/100000000000 (+.f64 (/.f64 (/.f64 t z) z) (+.f64 (/.f64 (+.f64 a (+.f64 -586480252826990429730394679450703430294089/100000000000000000000000000000000000000 (*.f64 t -15234687407/1000000000))) (pow.f64 z 3)) (+.f64 (/.f64 45796100221584283915100827016327/100000000000000000000000000000 (*.f64 z z)) (/.f64 -3652704169880641883561/100000000000000000000 z))))) x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 y (+.f64 313060547623/100000000000 (+.f64 (/.f64 (/.f64 t z) z) (+.f64 (/.f64 (+.f64 a (+.f64 -586480252826990429730394679450703430294089/100000000000000000000000000000000000000 (*.f64 t -15234687407/1000000000))) (pow.f64 z 3)) (+.f64 (/.f64 45796100221584283915100827016327/100000000000000000000000000000 (*.f64 z z)) (/.f64 -3652704169880641883561/100000000000000000000 z))))) x) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 y (+.f64 313060547623/100000000000 (+.f64 (/.f64 (/.f64 t z) z) (+.f64 (/.f64 (+.f64 a (+.f64 -586480252826990429730394679450703430294089/100000000000000000000000000000000000000 (*.f64 t -15234687407/1000000000))) (pow.f64 z 3)) (+.f64 (/.f64 45796100221584283915100827016327/100000000000000000000000000000 (*.f64 z z)) (/.f64 -3652704169880641883561/100000000000000000000 z))))) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (fma.f64 y (+.f64 313060547623/100000000000 (+.f64 (/.f64 (/.f64 t z) z) (+.f64 (/.f64 (+.f64 a (+.f64 -586480252826990429730394679450703430294089/100000000000000000000000000000000000000 (*.f64 t -15234687407/1000000000))) (pow.f64 z 3)) (+.f64 (/.f64 45796100221584283915100827016327/100000000000000000000000000000 (*.f64 z z)) (/.f64 -3652704169880641883561/100000000000000000000 z))))) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (fma.f64 y (+.f64 313060547623/100000000000 (+.f64 (/.f64 (/.f64 t z) z) (+.f64 (/.f64 (+.f64 a (+.f64 -586480252826990429730394679450703430294089/100000000000000000000000000000000000000 (*.f64 t -15234687407/1000000000))) (pow.f64 z 3)) (+.f64 (/.f64 45796100221584283915100827016327/100000000000000000000000000000 (*.f64 z z)) (/.f64 -3652704169880641883561/100000000000000000000 z))))) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (fma.f64 y (+.f64 313060547623/100000000000 (+.f64 (/.f64 (/.f64 t z) z) (+.f64 (/.f64 (+.f64 a (+.f64 -586480252826990429730394679450703430294089/100000000000000000000000000000000000000 (*.f64 t -15234687407/1000000000))) (pow.f64 z 3)) (+.f64 (/.f64 45796100221584283915100827016327/100000000000000000000000000000 (*.f64 z z)) (/.f64 -3652704169880641883561/100000000000000000000 z))))) x))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (fma.f64 y (+.f64 313060547623/100000000000 (+.f64 (/.f64 (/.f64 t z) z) (+.f64 (/.f64 (+.f64 a (+.f64 -586480252826990429730394679450703430294089/100000000000000000000000000000000000000 (*.f64 t -15234687407/1000000000))) (pow.f64 z 3)) (+.f64 (/.f64 45796100221584283915100827016327/100000000000000000000000000000 (*.f64 z z)) (/.f64 -3652704169880641883561/100000000000000000000 z))))) x))))))))

simplify128.0ms (0.9%)

Algorithm
egg-herbie
Rules
519×associate-*r*_binary64
419×associate-*l*_binary64
366×fma-def_binary64
165×sqr-pow_binary64
148×*-commutative_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
04218187
114147808
Stop Event
node limit
Counts
66 → 101
Calls
Call 1
Inputs
(pow.f64 (-.f64 (+.f64 313060547623/100000000000 (+.f64 (*.f64 45796100221584283915100827016327/100000000000000000000000000000 (/.f64 1 (pow.f64 z 2))) (/.f64 a (pow.f64 z 3)))) (+.f64 (*.f64 586480252826990429730394679450703430294089/100000000000000000000000000000000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 3652704169880641883561/100000000000000000000 (/.f64 1 z)))) 1/3)
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Outputs
(pow.f64 (-.f64 (+.f64 313060547623/100000000000 (+.f64 (*.f64 45796100221584283915100827016327/100000000000000000000000000000 (/.f64 1 (pow.f64 z 2))) (/.f64 a (pow.f64 z 3)))) (+.f64 (*.f64 586480252826990429730394679450703430294089/100000000000000000000000000000000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 3652704169880641883561/100000000000000000000 (/.f64 1 z)))) 1/3)
(cbrt.f64 (-.f64 (+.f64 (+.f64 313060547623/100000000000 (/.f64 45796100221584283915100827016327/100000000000000000000000000000 (*.f64 z z))) (/.f64 a (pow.f64 z 3))) (+.f64 (/.f64 586480252826990429730394679450703430294089/100000000000000000000000000000000000000 (pow.f64 z 3)) (/.f64 3652704169880641883561/100000000000000000000 z))))
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prune1.6s (11.1%)

Pruning

10 alts after pruning (7 fresh and 3 done)

PrunedKeptTotal
New3621363
Fresh066
Picked011
Done022
Total36210372
Error
0.0b
Counts
372 → 10
Alt Table
StatusErrorProgram
33.5b
(fma.f64 y (/.f64 (+.f64 b (*.f64 (pow.f64 z 2) (+.f64 (*.f64 (+.f64 (*.f64 313060547623/100000000000 z) 55833770631/5000000000) z) t))) (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000)) x)
28.6b
(fma.f64 y (+.f64 313060547623/100000000000 (+.f64 (+.f64 (/.f64 (/.f64 t z) z) (/.f64 (+.f64 a (+.f64 -586480252826990429730394679450703430294089/100000000000000000000000000000000000000 (*.f64 t -15234687407/1000000000))) (pow.f64 z 3))) (+.f64 (/.f64 45796100221584283915100827016327/100000000000000000000000000000 (*.f64 z z)) (/.f64 -3652704169880641883561/100000000000000000000 z)))) x)
29.3b
(*.f64 (*.f64 (cbrt.f64 (fma.f64 y (+.f64 (+.f64 313060547623/100000000000 (+.f64 (/.f64 t (*.f64 z z)) (/.f64 (+.f64 a (+.f64 -586480252826990429730394679450703430294089/100000000000000000000000000000000000000 (*.f64 t -15234687407/1000000000))) (pow.f64 z 3)))) (+.f64 (/.f64 45796100221584283915100827016327/100000000000000000000000000000 (*.f64 z z)) (/.f64 -3652704169880641883561/100000000000000000000 z))) x)) (cbrt.f64 (fma.f64 y (+.f64 (+.f64 313060547623/100000000000 (+.f64 (/.f64 t (*.f64 z z)) (/.f64 (+.f64 a (+.f64 -586480252826990429730394679450703430294089/100000000000000000000000000000000000000 (*.f64 t -15234687407/1000000000))) (pow.f64 z 3)))) (+.f64 (/.f64 45796100221584283915100827016327/100000000000000000000000000000 (*.f64 z z)) (/.f64 -3652704169880641883561/100000000000000000000 z))) x))) (cbrt.f64 (fma.f64 y (+.f64 (+.f64 313060547623/100000000000 (+.f64 (/.f64 t (*.f64 z z)) (/.f64 (+.f64 a (+.f64 -586480252826990429730394679450703430294089/100000000000000000000000000000000000000 (*.f64 t -15234687407/1000000000))) (pow.f64 z 3)))) (+.f64 (/.f64 45796100221584283915100827016327/100000000000000000000000000000 (*.f64 z z)) (/.f64 -3652704169880641883561/100000000000000000000 z))) x)))
30.8b
(+.f64 (*.f64 y (*.f64 (-.f64 (*.f64 1000000000000/607771387771 a) (*.f64 11940090572100000000000000/369386059793087248348441 b)) z)) (+.f64 x (*.f64 1000000000000/607771387771 (*.f64 y b))))
29.3b
(*.f64 (*.f64 (cbrt.f64 (fma.f64 y (+.f64 (+.f64 313060547623/100000000000 (+.f64 (/.f64 t (*.f64 z z)) (/.f64 (+.f64 a (+.f64 -586480252826990429730394679450703430294089/100000000000000000000000000000000000000 (*.f64 t -15234687407/1000000000))) (pow.f64 z 3)))) (+.f64 (/.f64 45796100221584283915100827016327/100000000000000000000000000000 (*.f64 z z)) (/.f64 -3652704169880641883561/100000000000000000000 z))) x)) (cbrt.f64 (fma.f64 y (+.f64 (+.f64 313060547623/100000000000 (+.f64 (/.f64 t (*.f64 z z)) (/.f64 (+.f64 a (+.f64 -586480252826990429730394679450703430294089/100000000000000000000000000000000000000 (*.f64 t -15234687407/1000000000))) (pow.f64 z 3)))) (+.f64 (/.f64 45796100221584283915100827016327/100000000000000000000000000000 (*.f64 z z)) (/.f64 -3652704169880641883561/100000000000000000000 z))) x))) (cbrt.f64 (fma.f64 y (*.f64 (*.f64 (cbrt.f64 (+.f64 313060547623/100000000000 (+.f64 (+.f64 (/.f64 t (*.f64 z z)) (/.f64 (+.f64 (+.f64 a -586480252826990429730394679450703430294089/100000000000000000000000000000000000000) (*.f64 t -15234687407/1000000000)) (pow.f64 z 3))) (+.f64 (/.f64 45796100221584283915100827016327/100000000000000000000000000000 (*.f64 z z)) (/.f64 -3652704169880641883561/100000000000000000000 z))))) (cbrt.f64 (+.f64 313060547623/100000000000 (+.f64 (+.f64 (/.f64 t (*.f64 z z)) (/.f64 (+.f64 (+.f64 a -586480252826990429730394679450703430294089/100000000000000000000000000000000000000) (*.f64 t -15234687407/1000000000)) (pow.f64 z 3))) (+.f64 (/.f64 45796100221584283915100827016327/100000000000000000000000000000 (*.f64 z z)) (/.f64 -3652704169880641883561/100000000000000000000 z)))))) (cbrt.f64 (+.f64 313060547623/100000000000 (+.f64 (+.f64 (/.f64 t (*.f64 z z)) (/.f64 (+.f64 (+.f64 a -586480252826990429730394679450703430294089/100000000000000000000000000000000000000) (*.f64 t -15234687407/1000000000)) (pow.f64 z 3))) (+.f64 (/.f64 45796100221584283915100827016327/100000000000000000000000000000 (*.f64 z z)) (/.f64 -3652704169880641883561/100000000000000000000 z)))))) x)))
29.4b
(fma.f64 (/.f64 y (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000)) (fma.f64 z (fma.f64 z (fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t) a) b) x)
29.4b
(fma.f64 y (pow.f64 (cbrt.f64 (/.f64 (fma.f64 z (fma.f64 z (fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t) a) b) (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000))) 3) x)
30.4b
(+.f64 x (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 z 313060547623/100000000000) 55833770631/5000000000) z) t) z) a) z) b)) (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 z 15234687407/1000000000) z) 314690115749/10000000000) z) 119400905721/10000000000) z) 607771387771/1000000000000)))
29.3b
(*.f64 (*.f64 (cbrt.f64 (fma.f64 y (+.f64 (+.f64 313060547623/100000000000 (+.f64 (/.f64 t (*.f64 z z)) (/.f64 (+.f64 a (+.f64 -586480252826990429730394679450703430294089/100000000000000000000000000000000000000 (*.f64 t -15234687407/1000000000))) (pow.f64 z 3)))) (+.f64 (/.f64 45796100221584283915100827016327/100000000000000000000000000000 (*.f64 z z)) (/.f64 -3652704169880641883561/100000000000000000000 z))) x)) (cbrt.f64 (fma.f64 y (+.f64 (+.f64 313060547623/100000000000 (+.f64 (/.f64 t (*.f64 z z)) (/.f64 (+.f64 a (+.f64 -586480252826990429730394679450703430294089/100000000000000000000000000000000000000 (*.f64 t -15234687407/1000000000))) (pow.f64 z 3)))) (+.f64 (/.f64 45796100221584283915100827016327/100000000000000000000000000000 (*.f64 z z)) (/.f64 -3652704169880641883561/100000000000000000000 z))) x))) (cbrt.f64 (fma.f64 y (*.f64 (*.f64 (cbrt.f64 (+.f64 313060547623/100000000000 (+.f64 (+.f64 (/.f64 t (*.f64 z z)) (/.f64 (+.f64 (+.f64 a -586480252826990429730394679450703430294089/100000000000000000000000000000000000000) (*.f64 t -15234687407/1000000000)) (pow.f64 z 3))) (+.f64 (/.f64 45796100221584283915100827016327/100000000000000000000000000000 (*.f64 z z)) (/.f64 -3652704169880641883561/100000000000000000000 z))))) (cbrt.f64 (+.f64 313060547623/100000000000 (+.f64 (+.f64 (/.f64 t (*.f64 z z)) (/.f64 (+.f64 (+.f64 a -586480252826990429730394679450703430294089/100000000000000000000000000000000000000) (*.f64 t -15234687407/1000000000)) (pow.f64 z 3))) (+.f64 (/.f64 45796100221584283915100827016327/100000000000000000000000000000 (*.f64 z z)) (/.f64 -3652704169880641883561/100000000000000000000 z)))))) (*.f64 (*.f64 (cbrt.f64 (cbrt.f64 (+.f64 313060547623/100000000000 (+.f64 (/.f64 (/.f64 t z) z) (+.f64 (/.f64 (+.f64 a (+.f64 -586480252826990429730394679450703430294089/100000000000000000000000000000000000000 (*.f64 t -15234687407/1000000000))) (pow.f64 z 3)) (+.f64 (/.f64 45796100221584283915100827016327/100000000000000000000000000000 (*.f64 z z)) (/.f64 -3652704169880641883561/100000000000000000000 z))))))) (cbrt.f64 (cbrt.f64 (+.f64 313060547623/100000000000 (+.f64 (/.f64 (/.f64 t z) z) (+.f64 (/.f64 (+.f64 a (+.f64 -586480252826990429730394679450703430294089/100000000000000000000000000000000000000 (*.f64 t -15234687407/1000000000))) (pow.f64 z 3)) (+.f64 (/.f64 45796100221584283915100827016327/100000000000000000000000000000 (*.f64 z z)) (/.f64 -3652704169880641883561/100000000000000000000 z)))))))) (cbrt.f64 (cbrt.f64 (+.f64 313060547623/100000000000 (+.f64 (/.f64 (/.f64 t z) z) (+.f64 (/.f64 (+.f64 a (+.f64 -586480252826990429730394679450703430294089/100000000000000000000000000000000000000 (*.f64 t -15234687407/1000000000))) (pow.f64 z 3)) (+.f64 (/.f64 45796100221584283915100827016327/100000000000000000000000000000 (*.f64 z z)) (/.f64 -3652704169880641883561/100000000000000000000 z))))))))) x)))
49.1b
(*.f64 (*.f64 (cbrt.f64 (fma.f64 y (+.f64 (+.f64 313060547623/100000000000 (+.f64 (/.f64 t (*.f64 z z)) (/.f64 (+.f64 a (+.f64 -586480252826990429730394679450703430294089/100000000000000000000000000000000000000 (*.f64 t -15234687407/1000000000))) (pow.f64 z 3)))) (+.f64 (/.f64 45796100221584283915100827016327/100000000000000000000000000000 (*.f64 z z)) (/.f64 -3652704169880641883561/100000000000000000000 z))) x)) (cbrt.f64 (fma.f64 y (+.f64 (+.f64 313060547623/100000000000 (+.f64 (/.f64 t (*.f64 z z)) (/.f64 (+.f64 a (+.f64 -586480252826990429730394679450703430294089/100000000000000000000000000000000000000 (*.f64 t -15234687407/1000000000))) (pow.f64 z 3)))) (+.f64 (/.f64 45796100221584283915100827016327/100000000000000000000000000000 (*.f64 z z)) (/.f64 -3652704169880641883561/100000000000000000000 z))) x))) (pow.f64 (+.f64 (*.f64 313060547623/100000000000 y) x) 1/3))
Compiler

Compiled 79527 to 52341 computations (34.2% saved)

regimes5.0s (33.8%)

Accuracy

Total 0.7b remaining (85.5%)

Threshold costs 0.7b (85.5%)

Counts
183 → 3
Compiler

Compiled 10252 to 6219 computations (39.3% saved)

bsearch78.0ms (0.5%)

Algorithm
binary-search
Calls

2 calls:

44.0ms
z
30.0ms
z
Steps
ItersPointRange
9.3e+52
∈ [
8.243323361939793e+52
,
1.7193142989010315e+54
]
-8.6e+23
∈ [
-2.3047417670144233e+29
,
-4.241601439087983e+23
]
Compiler

Compiled 7 to 6 computations (14.3% saved)

simplify4.0ms (0%)

Algorithm
egg-herbie
Rules
11×+-commutative_binary64
*-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
056136
168136
Stop Event
saturated
Calls
Call 1
Inputs
(if (<=.f64 z -859999999999999974834176) (fma.f64 y (+.f64 313060547623/100000000000 (+.f64 (+.f64 (/.f64 (/.f64 t z) z) (/.f64 (+.f64 a -586480252826990429730394679450703430294089/100000000000000000000000000000000000000) (pow.f64 z 3))) (+.f64 (/.f64 45796100221584283915100827016327/100000000000000000000000000000 (*.f64 z z)) (/.f64 -3652704169880641883561/100000000000000000000 z)))) x) (if (<=.f64 z 92999999999999999369548226715631401810938885100797952) (fma.f64 y (/.f64 (+.f64 (*.f64 z (fma.f64 z (fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t) a)) b) (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000)) x) (fma.f64 y (+.f64 (/.f64 45796100221584283915100827016327/100000000000000000000000000000 (*.f64 z z)) (+.f64 (+.f64 (/.f64 (fma.f64 t -15234687407/1000000000 -586480252826990429730394679450703430294089/100000000000000000000000000000000000000) (pow.f64 z 3)) (+.f64 (/.f64 (/.f64 t z) z) (/.f64 -3652704169880641883561/100000000000000000000 z))) 313060547623/100000000000)) x)))
Outputs
(if (<=.f64 z -859999999999999974834176) (fma.f64 y (+.f64 313060547623/100000000000 (+.f64 (+.f64 (/.f64 (/.f64 t z) z) (/.f64 (+.f64 a -586480252826990429730394679450703430294089/100000000000000000000000000000000000000) (pow.f64 z 3))) (+.f64 (/.f64 45796100221584283915100827016327/100000000000000000000000000000 (*.f64 z z)) (/.f64 -3652704169880641883561/100000000000000000000 z)))) x) (if (<=.f64 z 92999999999999999369548226715631401810938885100797952) (fma.f64 y (/.f64 (+.f64 (*.f64 z (fma.f64 z (fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t) a)) b) (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000)) x) (fma.f64 y (+.f64 (/.f64 45796100221584283915100827016327/100000000000000000000000000000 (*.f64 z z)) (+.f64 (+.f64 (/.f64 (fma.f64 t -15234687407/1000000000 -586480252826990429730394679450703430294089/100000000000000000000000000000000000000) (pow.f64 z 3)) (+.f64 (/.f64 (/.f64 t z) z) (/.f64 -3652704169880641883561/100000000000000000000 z))) 313060547623/100000000000)) x)))
(if (<=.f64 z -859999999999999974834176) (fma.f64 y (+.f64 313060547623/100000000000 (+.f64 (+.f64 (/.f64 (/.f64 t z) z) (/.f64 (+.f64 a -586480252826990429730394679450703430294089/100000000000000000000000000000000000000) (pow.f64 z 3))) (+.f64 (/.f64 45796100221584283915100827016327/100000000000000000000000000000 (*.f64 z z)) (/.f64 -3652704169880641883561/100000000000000000000 z)))) x) (if (<=.f64 z 92999999999999999369548226715631401810938885100797952) (fma.f64 y (/.f64 (+.f64 (*.f64 z (fma.f64 z (fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t) a)) b) (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000)) x) (fma.f64 y (+.f64 (/.f64 45796100221584283915100827016327/100000000000000000000000000000 (*.f64 z z)) (+.f64 313060547623/100000000000 (+.f64 (/.f64 (fma.f64 t -15234687407/1000000000 -586480252826990429730394679450703430294089/100000000000000000000000000000000000000) (pow.f64 z 3)) (+.f64 (/.f64 (/.f64 t z) z) (/.f64 -3652704169880641883561/100000000000000000000 z))))) x)))

end417.0ms (2.8%)

Stop Event
fuel
Compiler

Compiled 1011 to 649 computations (35.8% saved)

Profiling

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