Numeric.SpecFunctions:logGamma from math-functions-0.1.5.2, B

Time bar (total: 10.4s)

analyze126.0ms (1.2%)

Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
0%0%99.9%0.1%0%0%0%3
50%49.9%49.9%0.1%0%0%0%4
50%49.9%49.9%0.1%0%0%0%5
50%49.9%49.9%0.1%0%0%0%6
50%49.9%49.9%0.1%0%0%0%7
50%49.9%49.9%0.1%0%0%0%8
50%49.9%49.9%0.1%0%0%0%9
75%74.9%25%0.1%0%0%0%10
75%74.9%25%0.1%0%0%0%11
75%74.9%25%0.1%0%0%0%12
Compiler

Compiled 25 to 19 computations (24% saved)

sample1.3s (12.4%)

Results
1.3s8256×body256valid
Bogosity

preprocess222.0ms (2.1%)

Algorithm
egg-herbie
Rules
1650×unsub-neg
1396×fma-def
984×distribute-lft-in
864×associate-*l*
856×fma-neg
Problems
177×No Errors
74×(/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000))
(*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000))
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
068789
1191765
2492729
31733713
46133713
Stop Event
node limit
Calls
Call 1
Inputs
(+.f64 x (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
(+.f64 x (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
(+.f64 (neg.f64 x) (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
(+.f64 x (/.f64 (*.f64 (neg.f64 y) (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
(+.f64 x (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 (neg.f64 z) 692910599291889/10000000000000000) 307332350656623/625000000000000) (neg.f64 z)) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 (neg.f64 z) 6012459259764103/1000000000000000) (neg.f64 z)) 104698244219447/31250000000000)))
(neg.f64 (+.f64 (neg.f64 x) (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000))))
(neg.f64 (+.f64 x (/.f64 (*.f64 (neg.f64 y) (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000))))
(neg.f64 (+.f64 x (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 (neg.f64 z) 692910599291889/10000000000000000) 307332350656623/625000000000000) (neg.f64 z)) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 (neg.f64 z) 6012459259764103/1000000000000000) (neg.f64 z)) 104698244219447/31250000000000))))
(+.f64 y (/.f64 (*.f64 x (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
(+.f64 z (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 x 692910599291889/10000000000000000) 307332350656623/625000000000000) x) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 x 6012459259764103/1000000000000000) x) 104698244219447/31250000000000)))
(+.f64 x (/.f64 (*.f64 z (+.f64 (*.f64 (+.f64 (*.f64 y 692910599291889/10000000000000000) 307332350656623/625000000000000) y) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 y 6012459259764103/1000000000000000) y) 104698244219447/31250000000000)))
Outputs
(+.f64 x (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
(+.f64 x (/.f64 y (/.f64 (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000) (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000))))
(+.f64 x (*.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)))
(fma.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) x)
(fma.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) x)
(fma.f64 y (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) x)
(+.f64 x (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
(+.f64 x (/.f64 y (/.f64 (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000) (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000))))
(+.f64 x (*.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)))
(fma.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) x)
(fma.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) x)
(fma.f64 y (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) x)
(+.f64 (neg.f64 x) (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
(+.f64 (/.f64 y (/.f64 (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000) (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000))) (neg.f64 x))
(-.f64 (*.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)) x)
(-.f64 (*.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) x)
(-.f64 (*.f64 y (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) x)
(+.f64 x (/.f64 (*.f64 (neg.f64 y) (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
(+.f64 x (/.f64 (neg.f64 y) (/.f64 (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000) (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000))))
(-.f64 x (*.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)))
(-.f64 x (*.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))))
(fma.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 (neg.f64 y) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) x)
(+.f64 x (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 (neg.f64 z) 692910599291889/10000000000000000) 307332350656623/625000000000000) (neg.f64 z)) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 (neg.f64 z) 6012459259764103/1000000000000000) (neg.f64 z)) 104698244219447/31250000000000)))
(+.f64 x (/.f64 (*.f64 y (fma.f64 (fma.f64 (neg.f64 z) 692910599291889/10000000000000000 307332350656623/625000000000000) (neg.f64 z) 11167812716741/40000000000000)) (fma.f64 (+.f64 6012459259764103/1000000000000000 (neg.f64 z)) (neg.f64 z) 104698244219447/31250000000000)))
(+.f64 x (/.f64 (fma.f64 (neg.f64 z) (-.f64 307332350656623/625000000000000 (*.f64 z 692910599291889/10000000000000000)) 11167812716741/40000000000000) (/.f64 (-.f64 104698244219447/31250000000000 (*.f64 z (-.f64 6012459259764103/1000000000000000 z))) y)))
(fma.f64 (/.f64 y (-.f64 104698244219447/31250000000000 (*.f64 z (-.f64 6012459259764103/1000000000000000 z)))) (fma.f64 (neg.f64 (fma.f64 z -692910599291889/10000000000000000 307332350656623/625000000000000)) z 11167812716741/40000000000000) x)
(fma.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 -307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 y (fma.f64 z (+.f64 z -6012459259764103/1000000000000000) 104698244219447/31250000000000)) x)
(fma.f64 y (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 -307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z -6012459259764103/1000000000000000) 104698244219447/31250000000000)) x)
(neg.f64 (+.f64 (neg.f64 x) (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000))))
(+.f64 x (/.f64 (neg.f64 y) (/.f64 (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000) (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000))))
(-.f64 x (*.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)))
(-.f64 x (*.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))))
(fma.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 (neg.f64 y) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) x)
(neg.f64 (+.f64 x (/.f64 (*.f64 (neg.f64 y) (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000))))
(+.f64 (/.f64 y (/.f64 (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000) (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000))) (neg.f64 x))
(-.f64 (*.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)) x)
(-.f64 (*.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) x)
(-.f64 (*.f64 y (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) x)
(neg.f64 (+.f64 x (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 (neg.f64 z) 692910599291889/10000000000000000) 307332350656623/625000000000000) (neg.f64 z)) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 (neg.f64 z) 6012459259764103/1000000000000000) (neg.f64 z)) 104698244219447/31250000000000))))
(neg.f64 (+.f64 x (/.f64 (*.f64 y (fma.f64 (fma.f64 (neg.f64 z) 692910599291889/10000000000000000 307332350656623/625000000000000) (neg.f64 z) 11167812716741/40000000000000)) (fma.f64 (+.f64 6012459259764103/1000000000000000 (neg.f64 z)) (neg.f64 z) 104698244219447/31250000000000))))
(-.f64 (neg.f64 x) (/.f64 (fma.f64 (neg.f64 z) (-.f64 307332350656623/625000000000000 (*.f64 z 692910599291889/10000000000000000)) 11167812716741/40000000000000) (/.f64 (-.f64 104698244219447/31250000000000 (*.f64 z (-.f64 6012459259764103/1000000000000000 z))) y)))
(neg.f64 (fma.f64 (/.f64 y (-.f64 104698244219447/31250000000000 (*.f64 z (-.f64 6012459259764103/1000000000000000 z)))) (fma.f64 (neg.f64 (fma.f64 z -692910599291889/10000000000000000 307332350656623/625000000000000)) z 11167812716741/40000000000000) x))
(neg.f64 (fma.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 -307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 y (fma.f64 z (+.f64 z -6012459259764103/1000000000000000) 104698244219447/31250000000000)) x))
(neg.f64 (fma.f64 y (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 -307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z -6012459259764103/1000000000000000) 104698244219447/31250000000000)) x))
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(+.f64 y (/.f64 x (/.f64 (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000) (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000))))
(+.f64 y (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) x)))
(fma.f64 (/.f64 x (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) y)
(fma.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 x (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) y)
(+.f64 z (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 x 692910599291889/10000000000000000) 307332350656623/625000000000000) x) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 x 6012459259764103/1000000000000000) x) 104698244219447/31250000000000)))
(+.f64 z (/.f64 (*.f64 y (fma.f64 (fma.f64 x 692910599291889/10000000000000000 307332350656623/625000000000000) x 11167812716741/40000000000000)) (fma.f64 (+.f64 x 6012459259764103/1000000000000000) x 104698244219447/31250000000000)))
(+.f64 z (*.f64 (/.f64 y (fma.f64 x (+.f64 x 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (fma.f64 x (fma.f64 x 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)))
(fma.f64 (/.f64 y (fma.f64 x (+.f64 x 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (fma.f64 x (fma.f64 x 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) z)
(fma.f64 (fma.f64 x (fma.f64 x 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 y (fma.f64 x (+.f64 x 6012459259764103/1000000000000000) 104698244219447/31250000000000)) z)
(+.f64 x (/.f64 (*.f64 z (+.f64 (*.f64 (+.f64 (*.f64 y 692910599291889/10000000000000000) 307332350656623/625000000000000) y) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 y 6012459259764103/1000000000000000) y) 104698244219447/31250000000000)))
(+.f64 x (/.f64 (*.f64 z (fma.f64 (fma.f64 y 692910599291889/10000000000000000 307332350656623/625000000000000) y 11167812716741/40000000000000)) (fma.f64 (+.f64 y 6012459259764103/1000000000000000) y 104698244219447/31250000000000)))
(+.f64 x (*.f64 (/.f64 z (fma.f64 y (+.f64 y 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (fma.f64 y (fma.f64 y 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)))
(fma.f64 (/.f64 z (fma.f64 y (+.f64 y 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (fma.f64 y (fma.f64 y 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) x)
(fma.f64 (/.f64 (fma.f64 y (fma.f64 y 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 y (+.f64 y 6012459259764103/1000000000000000) 104698244219447/31250000000000)) z x)
(fma.f64 z (/.f64 (fma.f64 y (fma.f64 y 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 y (+.f64 y 6012459259764103/1000000000000000) 104698244219447/31250000000000)) x)
Compiler

Compiled 126 to 92 computations (27% saved)

eval2.0ms (0%)

Compiler

Compiled 90 to 60 computations (33.3% saved)

prune6.0ms (0.1%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
78.3%
(fma.f64 y (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) x)
69.8%
(+.f64 x (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
78.1%
(+.f64 x (/.f64 y (/.f64 (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000) (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000))))
76.8%
(+.f64 x (*.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)))
78.3%
(fma.f64 y (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) x)
69.8%
(+.f64 x (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
78.1%
(+.f64 x (/.f64 y (/.f64 (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000) (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000))))
76.8%
(+.f64 x (*.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)))
Compiler

Compiled 172 to 124 computations (27.9% saved)

localize368.0ms (3.6%)

Localize:

Found 16 expressions with local error:

NewAccuracyProgram
99.9%
(fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)
99.8%
(fma.f64 y (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) x)
99.7%
(fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)
78.7%
(/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))
99.7%
(*.f64 (+.f64 z 6012459259764103/1000000000000000) z)
99.3%
(*.f64 z 692910599291889/10000000000000000)
94.0%
(*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000))
70.2%
(/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000))
99.9%
(fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000)
99.9%
(/.f64 y (/.f64 (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000) (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000)))
99.7%
(fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)
77.9%
(/.f64 (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000) (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000))
99.9%
(fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)
99.7%
(fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)
97.3%
(/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))
72.6%
(*.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000))
Compiler

Compiled 307 to 213 computations (30.6% saved)

series33.0ms (0.3%)

Counts
16 → 276
Calls

69 calls:

TimeVariablePointExpression
5.0ms
x
@0
(fma.f64 y (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) x)
4.0ms
z
@-inf
(*.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000))
2.0ms
y
@0
(*.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000))
1.0ms
z
@inf
(/.f64 (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000) (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000))
1.0ms
z
@inf
(*.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000))

rewrite307.0ms (3%)

Algorithm
batch-egg-rewrite
Rules
716×expm1-udef
716×log1p-udef
541×log1p-expm1-u
330×associate-*r*
252×associate-*l*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
035531
1574531
26349531
Stop Event
node limit
Counts
16 → 591
Calls
Call 1
Inputs
(*.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000))
(/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))
(fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)
(fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)
(/.f64 (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000) (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000))
(fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)
(/.f64 y (/.f64 (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000) (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000)))
(fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000)
(/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000))
(*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000))
(*.f64 z 692910599291889/10000000000000000)
(*.f64 (+.f64 z 6012459259764103/1000000000000000) z)
(/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))
(fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)
(fma.f64 y (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) x)
(fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)
Outputs
(+.f64 (*.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) 11167812716741/40000000000000) (*.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000))))
(+.f64 (*.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000))) (*.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) 11167812716741/40000000000000))
(+.f64 (*.f64 11167812716741/40000000000000 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) (*.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))))
(+.f64 (*.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) (*.f64 11167812716741/40000000000000 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))))) 1)
(/.f64 y (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)))
(/.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (/.f64 1 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)))
(/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) y))
(/.f64 (*.f64 y (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))
(/.f64 1 (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) (*.f64 y (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000))))
(/.f64 1 (/.f64 (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) (*.f64 y (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000))) 1))
(/.f64 (cbrt.f64 (pow.f64 y 2)) (/.f64 (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)) (cbrt.f64 y)))
(/.f64 (pow.f64 (cbrt.f64 (*.f64 y (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000))) 2) (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) (cbrt.f64 (*.f64 y (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)))))
(/.f64 (sqrt.f64 y) (/.f64 (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)) (sqrt.f64 y)))
(/.f64 (sqrt.f64 (*.f64 y (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000))) (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) (sqrt.f64 (*.f64 y (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)))))
(/.f64 (neg.f64 y) (neg.f64 (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000))))
(/.f64 (*.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (neg.f64 y)) (neg.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))
(/.f64 (+.f64 (pow.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 3) 1392850058529705972970166011484436857021/64000000000000000000000000000000000000000) (*.f64 (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) y) (+.f64 (pow.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 2) (-.f64 124720040876201995101661081/1600000000000000000000000000 (*.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) (*.f64 z 11167812716741/40000000000000))))))
(/.f64 (+.f64 (pow.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 2) -124720040876201995101661081/1600000000000000000000000000) (*.f64 (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) y) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) -11167812716741/40000000000000)))
(/.f64 -1 (neg.f64 (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) (*.f64 y (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)))))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 3) 1392850058529705972970166011484436857021/64000000000000000000000000000000000000000) 1) (*.f64 (+.f64 (pow.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 2) (-.f64 124720040876201995101661081/1600000000000000000000000000 (*.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) (*.f64 z 11167812716741/40000000000000)))) (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) y)))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 2) -124720040876201995101661081/1600000000000000000000000000) 1) (*.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) -11167812716741/40000000000000) (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) y)))
(/.f64 (*.f64 y (+.f64 (pow.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 3) 1392850058529705972970166011484436857021/64000000000000000000000000000000000000000)) (*.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) (+.f64 (pow.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 2) (-.f64 124720040876201995101661081/1600000000000000000000000000 (*.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) (*.f64 z 11167812716741/40000000000000))))))
(/.f64 (*.f64 y (+.f64 (pow.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 2) -124720040876201995101661081/1600000000000000000000000000)) (*.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) -11167812716741/40000000000000)))
(/.f64 (*.f64 (neg.f64 y) (+.f64 (pow.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 3) 1392850058529705972970166011484436857021/64000000000000000000000000000000000000000)) (*.f64 (neg.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (+.f64 (pow.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 2) (-.f64 124720040876201995101661081/1600000000000000000000000000 (*.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) (*.f64 z 11167812716741/40000000000000))))))
(/.f64 (*.f64 (neg.f64 y) (+.f64 (pow.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 2) -124720040876201995101661081/1600000000000000000000000000)) (*.f64 (neg.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) -11167812716741/40000000000000)))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 3) 1392850058529705972970166011484436857021/64000000000000000000000000000000000000000) y) (*.f64 (+.f64 (pow.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 2) (-.f64 124720040876201995101661081/1600000000000000000000000000 (*.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) (*.f64 z 11167812716741/40000000000000)))) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 3) 1392850058529705972970166011484436857021/64000000000000000000000000000000000000000) (neg.f64 y)) (*.f64 (+.f64 (pow.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 2) (-.f64 124720040876201995101661081/1600000000000000000000000000 (*.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) (*.f64 z 11167812716741/40000000000000)))) (neg.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 2) -124720040876201995101661081/1600000000000000000000000000) y) (*.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) -11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))
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(+.f64 (*.f64 y (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) x)
(+.f64 x (*.f64 y (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 y (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) x))) 1)
(*.f64 (fma.f64 y (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) x) 1)
(*.f64 1 (fma.f64 y (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) x))
(*.f64 (cbrt.f64 (fma.f64 y (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) x)) (cbrt.f64 (pow.f64 (fma.f64 y (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) x) 2)))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 y (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) x) 2)) (cbrt.f64 (fma.f64 y (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) x)))
(*.f64 (sqrt.f64 (fma.f64 y (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) x)) (sqrt.f64 (fma.f64 y (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) x)))
(/.f64 (+.f64 (pow.f64 (*.f64 y (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (*.f64 y (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) 2) (-.f64 (pow.f64 x 2) (*.f64 (*.f64 y (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) x))))
(/.f64 (-.f64 (pow.f64 (*.f64 y (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) 2) (pow.f64 x 2)) (-.f64 (*.f64 y (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) x))
(pow.f64 (fma.f64 y (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) x) 1)
(pow.f64 (cbrt.f64 (fma.f64 y (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) x)) 3)
(pow.f64 (pow.f64 (fma.f64 y (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) x) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 y (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) x)) 2)
(sqrt.f64 (pow.f64 (fma.f64 y (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) x) 2))
(log.f64 (exp.f64 (fma.f64 y (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) x)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 y (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) x))))
(cbrt.f64 (pow.f64 (fma.f64 y (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) x) 3))
(expm1.f64 (log1p.f64 (fma.f64 y (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) x)))
(exp.f64 (log.f64 (fma.f64 y (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) x)))
(exp.f64 (*.f64 (log.f64 (fma.f64 y (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) x)) 1))
(log1p.f64 (expm1.f64 (fma.f64 y (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) x)))
(+.f64 11167812716741/40000000000000 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)))
(+.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 11167812716741/40000000000000)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000))) 1)
(-.f64 (/.f64 (pow.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 2) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) -11167812716741/40000000000000)) (/.f64 124720040876201995101661081/1600000000000000000000000000 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) -11167812716741/40000000000000)))
(*.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) 1)
(*.f64 1 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000))
(*.f64 (cbrt.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)) (cbrt.f64 (pow.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) 2)))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) 2)) (cbrt.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)))
(*.f64 (sqrt.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)) (sqrt.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)))
(*.f64 (+.f64 (pow.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 3) 1392850058529705972970166011484436857021/64000000000000000000000000000000000000000) (/.f64 1 (+.f64 (pow.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 2) (-.f64 124720040876201995101661081/1600000000000000000000000000 (*.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) (*.f64 z 11167812716741/40000000000000))))))
(*.f64 (+.f64 (pow.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 2) -124720040876201995101661081/1600000000000000000000000000) (/.f64 1 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) -11167812716741/40000000000000)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 2) (-.f64 124720040876201995101661081/1600000000000000000000000000 (*.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) (*.f64 z 11167812716741/40000000000000)))) (+.f64 (pow.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 3) 1392850058529705972970166011484436857021/64000000000000000000000000000000000000000)))
(/.f64 1 (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) -11167812716741/40000000000000) (+.f64 (pow.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 2) -124720040876201995101661081/1600000000000000000000000000)))
(/.f64 (+.f64 (pow.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 3) 1392850058529705972970166011484436857021/64000000000000000000000000000000000000000) (+.f64 (pow.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 2) (-.f64 124720040876201995101661081/1600000000000000000000000000 (*.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) (*.f64 z 11167812716741/40000000000000)))))
(/.f64 (+.f64 (pow.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 3) 1392850058529705972970166011484436857021/64000000000000000000000000000000000000000) (+.f64 124720040876201995101661081/1600000000000000000000000000 (-.f64 (pow.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 2) (*.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) (*.f64 z 11167812716741/40000000000000)))))
(/.f64 (+.f64 (pow.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 2) -124720040876201995101661081/1600000000000000000000000000) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) -11167812716741/40000000000000))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 3) 1392850058529705972970166011484436857021/64000000000000000000000000000000000000000)) (neg.f64 (+.f64 (pow.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 2) (-.f64 124720040876201995101661081/1600000000000000000000000000 (*.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) (*.f64 z 11167812716741/40000000000000))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 2) -124720040876201995101661081/1600000000000000000000000000)) (neg.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) -11167812716741/40000000000000)))
(/.f64 (-.f64 124720040876201995101661081/1600000000000000000000000000 (pow.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 2)) (-.f64 11167812716741/40000000000000 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000))))
(pow.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) 1)
(pow.f64 (cbrt.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)) 3)
(pow.f64 (pow.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)) 2)
(sqrt.f64 (pow.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) 2))
(log.f64 (exp.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000))))
(cbrt.f64 (pow.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) 3))
(expm1.f64 (log1p.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)))
(exp.f64 (log.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)))
(exp.f64 (*.f64 (log.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)) 1))
(log1p.f64 (expm1.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)))

simplify504.0ms (4.9%)

Algorithm
egg-herbie
Rules
1088×fma-def
924×times-frac
662×distribute-rgt-in
634×distribute-lft-in
462×*-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0104044479
1273243795
Stop Event
node limit
Counts
867 → 617
Calls
Call 1
Inputs
(/.f64 (*.f64 y (+.f64 11167812716741/40000000000000 (*.f64 z (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z))))) (+.f64 104698244219447/31250000000000 (*.f64 z (+.f64 6012459259764103/1000000000000000 z))))
(/.f64 (*.f64 y (+.f64 11167812716741/40000000000000 (*.f64 z (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z))))) (+.f64 104698244219447/31250000000000 (*.f64 z (+.f64 6012459259764103/1000000000000000 z))))
(/.f64 (*.f64 y (+.f64 11167812716741/40000000000000 (*.f64 z (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z))))) (+.f64 104698244219447/31250000000000 (*.f64 z (+.f64 6012459259764103/1000000000000000 z))))
(/.f64 (*.f64 y (+.f64 11167812716741/40000000000000 (*.f64 z (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z))))) (+.f64 104698244219447/31250000000000 (*.f64 z (+.f64 6012459259764103/1000000000000000 z))))
(/.f64 (*.f64 y (+.f64 11167812716741/40000000000000 (*.f64 z (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z))))) (+.f64 104698244219447/31250000000000 (*.f64 z (+.f64 6012459259764103/1000000000000000 z))))
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(/.f64 (*.f64 y (+.f64 11167812716741/40000000000000 (*.f64 z (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z))))) (+.f64 104698244219447/31250000000000 (*.f64 z (+.f64 6012459259764103/1000000000000000 z))))
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(/.f64 (*.f64 y (+.f64 11167812716741/40000000000000 (*.f64 z (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z))))) (+.f64 104698244219447/31250000000000 (*.f64 z (+.f64 6012459259764103/1000000000000000 z))))
(*.f64 279195317918525/3350343815022304 y)
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(+.f64 (*.f64 y (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) x)
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(/.f64 (-.f64 (pow.f64 (*.f64 y (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) 2) (pow.f64 x 2)) (-.f64 (*.f64 y (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) x))
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(pow.f64 (cbrt.f64 (fma.f64 y (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) x)) 3)
(pow.f64 (pow.f64 (fma.f64 y (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) x) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 y (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) x)) 2)
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(log1p.f64 (expm1.f64 (fma.f64 y (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) x)))
(+.f64 11167812716741/40000000000000 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)))
(+.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 11167812716741/40000000000000)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000))) 1)
(-.f64 (/.f64 (pow.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 2) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) -11167812716741/40000000000000)) (/.f64 124720040876201995101661081/1600000000000000000000000000 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) -11167812716741/40000000000000)))
(*.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) 1)
(*.f64 1 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000))
(*.f64 (cbrt.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)) (cbrt.f64 (pow.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) 2)))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) 2)) (cbrt.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)))
(*.f64 (sqrt.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)) (sqrt.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)))
(*.f64 (+.f64 (pow.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 3) 1392850058529705972970166011484436857021/64000000000000000000000000000000000000000) (/.f64 1 (+.f64 (pow.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 2) (-.f64 124720040876201995101661081/1600000000000000000000000000 (*.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) (*.f64 z 11167812716741/40000000000000))))))
(*.f64 (+.f64 (pow.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 2) -124720040876201995101661081/1600000000000000000000000000) (/.f64 1 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) -11167812716741/40000000000000)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 2) (-.f64 124720040876201995101661081/1600000000000000000000000000 (*.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) (*.f64 z 11167812716741/40000000000000)))) (+.f64 (pow.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 3) 1392850058529705972970166011484436857021/64000000000000000000000000000000000000000)))
(/.f64 1 (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) -11167812716741/40000000000000) (+.f64 (pow.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 2) -124720040876201995101661081/1600000000000000000000000000)))
(/.f64 (+.f64 (pow.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 3) 1392850058529705972970166011484436857021/64000000000000000000000000000000000000000) (+.f64 (pow.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 2) (-.f64 124720040876201995101661081/1600000000000000000000000000 (*.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) (*.f64 z 11167812716741/40000000000000)))))
(/.f64 (+.f64 (pow.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 3) 1392850058529705972970166011484436857021/64000000000000000000000000000000000000000) (+.f64 124720040876201995101661081/1600000000000000000000000000 (-.f64 (pow.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 2) (*.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) (*.f64 z 11167812716741/40000000000000)))))
(/.f64 (+.f64 (pow.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 2) -124720040876201995101661081/1600000000000000000000000000) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) -11167812716741/40000000000000))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 3) 1392850058529705972970166011484436857021/64000000000000000000000000000000000000000)) (neg.f64 (+.f64 (pow.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 2) (-.f64 124720040876201995101661081/1600000000000000000000000000 (*.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) (*.f64 z 11167812716741/40000000000000))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 2) -124720040876201995101661081/1600000000000000000000000000)) (neg.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) -11167812716741/40000000000000)))
(/.f64 (-.f64 124720040876201995101661081/1600000000000000000000000000 (pow.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 2)) (-.f64 11167812716741/40000000000000 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000))))
(pow.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) 1)
(pow.f64 (cbrt.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)) 3)
(pow.f64 (pow.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)) 2)
(sqrt.f64 (pow.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) 2))
(log.f64 (exp.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000))))
(cbrt.f64 (pow.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) 3))
(expm1.f64 (log1p.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)))
(exp.f64 (log.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)))
(exp.f64 (*.f64 (log.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)) 1))
(log1p.f64 (expm1.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)))
Outputs
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(fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)
(exp.f64 (log.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)))
(fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)
(exp.f64 (*.f64 (log.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)) 1))
(fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)
(log1p.f64 (expm1.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)))
(fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)

eval422.0ms (4.1%)

Compiler

Compiled 19753 to 14136 computations (28.4% saved)

prune162.0ms (1.6%)

Pruning

13 alts after pruning (12 fresh and 1 done)

PrunedKeptTotal
New75512767
Fresh000
Picked314
Done000
Total75813771
Accuracy
100.0%
Counts
771 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
80.5%
(+.f64 (*.f64 y 279195317918525/3350343815022304) x)
77.9%
(+.f64 (*.f64 y 692910599291889/10000000000000000) x)
76.8%
(+.f64 x (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) y)))
69.8%
(+.f64 x (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
78.1%
(+.f64 x (/.f64 y (/.f64 (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000) (fma.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z 11167812716741/40000000000000))))
73.4%
(+.f64 x (/.f64 y (-.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z))))
77.0%
(+.f64 x (/.f64 y (+.f64 3350343815022304/279195317918525 (*.f64 z 155900051080628738716045985239/389750127738131234692690878125))))
78.0%
(+.f64 x (/.f64 y 10000000000000000/692910599291889))
80.5%
(+.f64 x (/.f64 y 3350343815022304/279195317918525))
64.9%
(+.f64 x (-.f64 (+.f64 (*.f64 692910599291889/10000000000000000 y) (*.f64 307332350656623/625000000000000 (/.f64 y z))) (*.f64 4166096748901211929300981260567/10000000000000000000000000000000 (/.f64 y z))))
65.2%
(+.f64 x (-.f64 (*.f64 y 692910599291889/10000000000000000) (/.f64 (*.f64 y -751220861604756070699018739433/10000000000000000000000000000000) z)))
39.5%
(*.f64 y (+.f64 (*.f64 11167812716741/40000000000000 (/.f64 1 (+.f64 104698244219447/31250000000000 (*.f64 z (+.f64 6012459259764103/1000000000000000 z))))) (/.f64 (*.f64 z (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z))) (+.f64 104698244219447/31250000000000 (*.f64 z (+.f64 6012459259764103/1000000000000000 z))))))
51.1%
x
80.5%
(+.f64 (*.f64 y 279195317918525/3350343815022304) x)
77.9%
(+.f64 (*.f64 y 692910599291889/10000000000000000) x)
76.8%
(+.f64 x (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) y)))
69.8%
(+.f64 x (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
78.1%
(+.f64 x (/.f64 y (/.f64 (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000) (fma.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z 11167812716741/40000000000000))))
73.4%
(+.f64 x (/.f64 y (-.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z))))
77.0%
(+.f64 x (/.f64 y (+.f64 3350343815022304/279195317918525 (*.f64 z 155900051080628738716045985239/389750127738131234692690878125))))
78.0%
(+.f64 x (/.f64 y 10000000000000000/692910599291889))
80.5%
(+.f64 x (/.f64 y 3350343815022304/279195317918525))
64.9%
(+.f64 x (-.f64 (+.f64 (*.f64 692910599291889/10000000000000000 y) (*.f64 307332350656623/625000000000000 (/.f64 y z))) (*.f64 4166096748901211929300981260567/10000000000000000000000000000000 (/.f64 y z))))
65.2%
(+.f64 x (-.f64 (*.f64 y 692910599291889/10000000000000000) (/.f64 (*.f64 y -751220861604756070699018739433/10000000000000000000000000000000) z)))
39.5%
(*.f64 y (+.f64 (*.f64 11167812716741/40000000000000 (/.f64 1 (+.f64 104698244219447/31250000000000 (*.f64 z (+.f64 6012459259764103/1000000000000000 z))))) (/.f64 (*.f64 z (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z))) (+.f64 104698244219447/31250000000000 (*.f64 z (+.f64 6012459259764103/1000000000000000 z))))))
51.1%
x
Compiler

Compiled 716 to 526 computations (26.5% saved)

localize123.0ms (1.2%)

Localize:

Found 14 expressions with local error:

NewAccuracyProgram
99.4%
(*.f64 4166096748901211929300981260567/10000000000000000000000000000000 (/.f64 y z))
99.4%
(*.f64 307332350656623/625000000000000 (/.f64 y z))
99.3%
(*.f64 692910599291889/10000000000000000 y)
89.5%
(-.f64 (+.f64 (*.f64 692910599291889/10000000000000000 y) (*.f64 307332350656623/625000000000000 (/.f64 y z))) (*.f64 4166096748901211929300981260567/10000000000000000000000000000000 (/.f64 y z)))
100.0%
(-.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z))
100.0%
(+.f64 x (/.f64 y (-.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z))))
99.8%
(/.f64 y (-.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z)))
99.8%
(/.f64 2504069538682520235663395798110/160041699537014921582740396107 z)
100.0%
(+.f64 (*.f64 y 279195317918525/3350343815022304) x)
99.7%
(*.f64 y 279195317918525/3350343815022304)
100.0%
(+.f64 x (/.f64 y 10000000000000000/692910599291889))
99.9%
(/.f64 y 10000000000000000/692910599291889)
100.0%
(+.f64 x (/.f64 y 3350343815022304/279195317918525))
99.9%
(/.f64 y 3350343815022304/279195317918525)
Compiler

Compiled 129 to 73 computations (43.4% saved)

series20.0ms (0.2%)

Counts
14 → 198
Calls

69 calls:

TimeVariablePointExpression
2.0ms
z
@0
(/.f64 2504069538682520235663395798110/160041699537014921582740396107 z)
2.0ms
x
@0
(+.f64 x (/.f64 y (-.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z))))
1.0ms
y
@0
(/.f64 y (-.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z)))
1.0ms
y
@inf
(-.f64 (+.f64 (*.f64 692910599291889/10000000000000000 y) (*.f64 307332350656623/625000000000000 (/.f64 y z))) (*.f64 4166096748901211929300981260567/10000000000000000000000000000000 (/.f64 y z)))
1.0ms
y
@inf
(/.f64 y (-.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z)))

rewrite215.0ms (2.1%)

Algorithm
batch-egg-rewrite
Rules
796×expm1-udef
326×associate-*r*
266×prod-diff
216×log1p-expm1-u
216×expm1-log1p-u
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
032266
1519238
27511238
Stop Event
node limit
Counts
14 → 444
Calls
Call 1
Inputs
(/.f64 y 3350343815022304/279195317918525)
(+.f64 x (/.f64 y 3350343815022304/279195317918525))
(/.f64 y 10000000000000000/692910599291889)
(+.f64 x (/.f64 y 10000000000000000/692910599291889))
(*.f64 y 279195317918525/3350343815022304)
(+.f64 (*.f64 y 279195317918525/3350343815022304) x)
(/.f64 2504069538682520235663395798110/160041699537014921582740396107 z)
(/.f64 y (-.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z)))
(+.f64 x (/.f64 y (-.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z))))
(-.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z))
(-.f64 (+.f64 (*.f64 692910599291889/10000000000000000 y) (*.f64 307332350656623/625000000000000 (/.f64 y z))) (*.f64 4166096748901211929300981260567/10000000000000000000000000000000 (/.f64 y z)))
(*.f64 692910599291889/10000000000000000 y)
(*.f64 307332350656623/625000000000000 (/.f64 y z))
(*.f64 4166096748901211929300981260567/10000000000000000000000000000000 (/.f64 y z))
Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 y 279195317918525/3350343815022304))) 1)
(*.f64 y 279195317918525/3350343815022304)
(*.f64 (*.f64 y 279195317918525/3350343815022304) 1)
(*.f64 279195317918525/3350343815022304 y)
(*.f64 1 (*.f64 y 279195317918525/3350343815022304))
(*.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) 279195317918525/3350343815022304))
(*.f64 (cbrt.f64 (*.f64 y 279195317918525/3350343815022304)) (pow.f64 (cbrt.f64 (*.f64 y 279195317918525/3350343815022304)) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 y 279195317918525/3350343815022304)) 2) (cbrt.f64 (*.f64 y 279195317918525/3350343815022304)))
(*.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) 279195317918525/3350343815022304))
(*.f64 (sqrt.f64 (*.f64 y 279195317918525/3350343815022304)) (sqrt.f64 (*.f64 y 279195317918525/3350343815022304)))
(*.f64 (neg.f64 y) -279195317918525/3350343815022304)
(*.f64 (*.f64 279195317918525/3350343815022304 (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))
(*.f64 (*.f64 279195317918525/3350343815022304 (sqrt.f64 y)) (sqrt.f64 y))
(pow.f64 (*.f64 y 279195317918525/3350343815022304) 1)
(pow.f64 (cbrt.f64 (*.f64 y 279195317918525/3350343815022304)) 3)
(pow.f64 (*.f64 (pow.f64 y 3) 21763282164526655827658843929444325890953125/37606951580302195967838628608395321436655550464) 1/3)
(pow.f64 (sqrt.f64 (*.f64 y 279195317918525/3350343815022304)) 2)
(pow.f64 (/.f64 3350343815022304/279195317918525 y) -1)
(neg.f64 (/.f64 y -3350343815022304/279195317918525))
(sqrt.f64 (pow.f64 (*.f64 y 279195317918525/3350343815022304) 2))
(log.f64 (pow.f64 (exp.f64 279195317918525/3350343815022304) y))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 y 279195317918525/3350343815022304))))
(cbrt.f64 (*.f64 (pow.f64 y 3) 21763282164526655827658843929444325890953125/37606951580302195967838628608395321436655550464))
(expm1.f64 (log1p.f64 (*.f64 y 279195317918525/3350343815022304)))
(exp.f64 (log.f64 (*.f64 y 279195317918525/3350343815022304)))
(exp.f64 (*.f64 (log.f64 (*.f64 y 279195317918525/3350343815022304)) 1))
(log1p.f64 (expm1.f64 (*.f64 y 279195317918525/3350343815022304)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 y 279195317918525/3350343815022304 x))) 1)
(-.f64 (/.f64 (pow.f64 (*.f64 y 279195317918525/3350343815022304) 2) (-.f64 (*.f64 y 279195317918525/3350343815022304) x)) (/.f64 (pow.f64 x 2) (-.f64 (*.f64 y 279195317918525/3350343815022304) x)))
(-.f64 (/.f64 (pow.f64 x 2) (+.f64 x (*.f64 -279195317918525/3350343815022304 y))) (/.f64 (pow.f64 (*.f64 y 279195317918525/3350343815022304) 2) (+.f64 x (*.f64 -279195317918525/3350343815022304 y))))
(*.f64 (fma.f64 y 279195317918525/3350343815022304 x) 1)
(*.f64 1 (fma.f64 y 279195317918525/3350343815022304 x))
(*.f64 (cbrt.f64 (fma.f64 y 279195317918525/3350343815022304 x)) (pow.f64 (cbrt.f64 (fma.f64 y 279195317918525/3350343815022304 x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 y 279195317918525/3350343815022304 x)) 2) (cbrt.f64 (fma.f64 y 279195317918525/3350343815022304 x)))
(*.f64 (sqrt.f64 (fma.f64 y 279195317918525/3350343815022304 x)) (sqrt.f64 (fma.f64 y 279195317918525/3350343815022304 x)))
(*.f64 (+.f64 (*.f64 (pow.f64 y 3) 21763282164526655827658843929444325890953125/37606951580302195967838628608395321436655550464) (pow.f64 x 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 y 279195317918525/3350343815022304) 2) (*.f64 x (+.f64 x (*.f64 -279195317918525/3350343815022304 y))))))
(*.f64 (+.f64 (*.f64 (pow.f64 y 3) 21763282164526655827658843929444325890953125/37606951580302195967838628608395321436655550464) (pow.f64 x 3)) (/.f64 1 (fma.f64 x x (*.f64 (*.f64 y 279195317918525/3350343815022304) (-.f64 (*.f64 y 279195317918525/3350343815022304) x)))))
(*.f64 (-.f64 (pow.f64 (*.f64 y 279195317918525/3350343815022304) 2) (pow.f64 x 2)) (/.f64 1 (-.f64 (*.f64 y 279195317918525/3350343815022304) x)))
(*.f64 (-.f64 (pow.f64 x 2) (pow.f64 (*.f64 y 279195317918525/3350343815022304) 2)) (/.f64 1 (+.f64 x (*.f64 -279195317918525/3350343815022304 y))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 y 279195317918525/3350343815022304) 2) (*.f64 x (+.f64 x (*.f64 -279195317918525/3350343815022304 y)))) (+.f64 (*.f64 (pow.f64 y 3) 21763282164526655827658843929444325890953125/37606951580302195967838628608395321436655550464) (pow.f64 x 3))))
(/.f64 1 (/.f64 (fma.f64 x x (*.f64 (*.f64 y 279195317918525/3350343815022304) (-.f64 (*.f64 y 279195317918525/3350343815022304) x))) (+.f64 (*.f64 (pow.f64 y 3) 21763282164526655827658843929444325890953125/37606951580302195967838628608395321436655550464) (pow.f64 x 3))))
(/.f64 1 (/.f64 (-.f64 (*.f64 y 279195317918525/3350343815022304) x) (-.f64 (pow.f64 (*.f64 y 279195317918525/3350343815022304) 2) (pow.f64 x 2))))
(/.f64 1 (/.f64 (+.f64 x (*.f64 -279195317918525/3350343815022304 y)) (-.f64 (pow.f64 x 2) (pow.f64 (*.f64 y 279195317918525/3350343815022304) 2))))
(/.f64 (+.f64 (*.f64 (pow.f64 y 3) 21763282164526655827658843929444325890953125/37606951580302195967838628608395321436655550464) (pow.f64 x 3)) (+.f64 (pow.f64 (*.f64 y 279195317918525/3350343815022304) 2) (*.f64 x (+.f64 x (*.f64 -279195317918525/3350343815022304 y)))))
(/.f64 (+.f64 (*.f64 (pow.f64 y 3) 21763282164526655827658843929444325890953125/37606951580302195967838628608395321436655550464) (pow.f64 x 3)) (fma.f64 x x (*.f64 (*.f64 y 279195317918525/3350343815022304) (-.f64 (*.f64 y 279195317918525/3350343815022304) x))))
(/.f64 (-.f64 (pow.f64 (*.f64 y 279195317918525/3350343815022304) 2) (pow.f64 x 2)) (-.f64 (*.f64 y 279195317918525/3350343815022304) x))
(/.f64 (-.f64 (pow.f64 x 2) (pow.f64 (*.f64 y 279195317918525/3350343815022304) 2)) (+.f64 x (*.f64 -279195317918525/3350343815022304 y)))
(/.f64 (neg.f64 (+.f64 (*.f64 (pow.f64 y 3) 21763282164526655827658843929444325890953125/37606951580302195967838628608395321436655550464) (pow.f64 x 3))) (neg.f64 (+.f64 (pow.f64 (*.f64 y 279195317918525/3350343815022304) 2) (*.f64 x (+.f64 x (*.f64 -279195317918525/3350343815022304 y))))))
(/.f64 (neg.f64 (+.f64 (*.f64 (pow.f64 y 3) 21763282164526655827658843929444325890953125/37606951580302195967838628608395321436655550464) (pow.f64 x 3))) (neg.f64 (fma.f64 x x (*.f64 (*.f64 y 279195317918525/3350343815022304) (-.f64 (*.f64 y 279195317918525/3350343815022304) x)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 y 279195317918525/3350343815022304) 2) (pow.f64 x 2))) (neg.f64 (-.f64 (*.f64 y 279195317918525/3350343815022304) x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 x 2) (pow.f64 (*.f64 y 279195317918525/3350343815022304) 2))) (neg.f64 (+.f64 x (*.f64 -279195317918525/3350343815022304 y))))
(pow.f64 (fma.f64 y 279195317918525/3350343815022304 x) 1)
(pow.f64 (cbrt.f64 (fma.f64 y 279195317918525/3350343815022304 x)) 3)
(pow.f64 (pow.f64 (fma.f64 y 279195317918525/3350343815022304 x) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 y 279195317918525/3350343815022304 x)) 2)
(sqrt.f64 (pow.f64 (fma.f64 y 279195317918525/3350343815022304 x) 2))
(log.f64 (exp.f64 (fma.f64 y 279195317918525/3350343815022304 x)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 y 279195317918525/3350343815022304 x))))
(cbrt.f64 (pow.f64 (fma.f64 y 279195317918525/3350343815022304 x) 3))
(expm1.f64 (log1p.f64 (fma.f64 y 279195317918525/3350343815022304 x)))
(exp.f64 (log.f64 (fma.f64 y 279195317918525/3350343815022304 x)))
(exp.f64 (*.f64 (log.f64 (fma.f64 y 279195317918525/3350343815022304 x)) 1))
(log1p.f64 (expm1.f64 (fma.f64 y 279195317918525/3350343815022304 x)))
(fma.f64 y 279195317918525/3350343815022304 x)
(fma.f64 279195317918525/3350343815022304 y x)
(fma.f64 1 (*.f64 y 279195317918525/3350343815022304) x)
(fma.f64 1 x (*.f64 y 279195317918525/3350343815022304))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 y 279195317918525/3350343815022304))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 y 279195317918525/3350343815022304)) 2) (cbrt.f64 (*.f64 y 279195317918525/3350343815022304)) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 y 279195317918525/3350343815022304))
(fma.f64 (sqrt.f64 (*.f64 y 279195317918525/3350343815022304)) (sqrt.f64 (*.f64 y 279195317918525/3350343815022304)) x)
(-.f64 (exp.f64 (log1p.f64 (*.f64 y 692910599291889/10000000000000000))) 1)
(*.f64 y 692910599291889/10000000000000000)
(*.f64 692910599291889/10000000000000000 y)
(*.f64 (*.f64 y 692910599291889/10000000000000000) 1)
(*.f64 1 (*.f64 y 692910599291889/10000000000000000))
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simplify260.0ms (2.5%)

Algorithm
egg-herbie
Rules
1010×fma-def
704×associate-*r*
680×associate-*l*
428×associate-/l*
344×sqr-pow
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
085218720
1203318114
Stop Event
node limit
Counts
642 → 513
Calls
Call 1
Inputs
(*.f64 279195317918525/3350343815022304 y)
(*.f64 279195317918525/3350343815022304 y)
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(sqrt.f64 (pow.f64 (fma.f64 y 692910599291889/10000000000000000 (*.f64 (/.f64 y z) 751220861604756070699018739433/10000000000000000000000000000000)) 2))
(log.f64 (exp.f64 (fma.f64 y 692910599291889/10000000000000000 (*.f64 (/.f64 y z) 751220861604756070699018739433/10000000000000000000000000000000))))
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(exp.f64 (*.f64 (log.f64 (fma.f64 y 692910599291889/10000000000000000 (*.f64 (/.f64 y z) 751220861604756070699018739433/10000000000000000000000000000000))) 1))
(log1p.f64 (expm1.f64 (fma.f64 y 692910599291889/10000000000000000 (*.f64 (/.f64 y z) 751220861604756070699018739433/10000000000000000000000000000000))))
(fma.f64 y 692910599291889/10000000000000000 (*.f64 (/.f64 y z) 751220861604756070699018739433/10000000000000000000000000000000))
(fma.f64 692910599291889/10000000000000000 y (*.f64 (/.f64 y z) 751220861604756070699018739433/10000000000000000000000000000000))
(fma.f64 1 (*.f64 y 692910599291889/10000000000000000) (*.f64 (/.f64 y z) 751220861604756070699018739433/10000000000000000000000000000000))
(fma.f64 1 (fma.f64 307332350656623/625000000000000 (/.f64 y z) (*.f64 y 692910599291889/10000000000000000)) (*.f64 (/.f64 y z) -4166096748901211929300981260567/10000000000000000000000000000000))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 y 692910599291889/10000000000000000)) 2) (cbrt.f64 (*.f64 y 692910599291889/10000000000000000)) (*.f64 (/.f64 y z) 751220861604756070699018739433/10000000000000000000000000000000))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 307332350656623/625000000000000 (/.f64 y z) (*.f64 y 692910599291889/10000000000000000))) 2) (cbrt.f64 (fma.f64 307332350656623/625000000000000 (/.f64 y z) (*.f64 y 692910599291889/10000000000000000))) (*.f64 (/.f64 y z) -4166096748901211929300981260567/10000000000000000000000000000000))
(fma.f64 (sqrt.f64 (*.f64 y 692910599291889/10000000000000000)) (sqrt.f64 (*.f64 y 692910599291889/10000000000000000)) (*.f64 (/.f64 y z) 751220861604756070699018739433/10000000000000000000000000000000))
(fma.f64 (sqrt.f64 (fma.f64 307332350656623/625000000000000 (/.f64 y z) (*.f64 y 692910599291889/10000000000000000))) (sqrt.f64 (fma.f64 307332350656623/625000000000000 (/.f64 y z) (*.f64 y 692910599291889/10000000000000000))) (*.f64 (/.f64 y z) -4166096748901211929300981260567/10000000000000000000000000000000))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y 692910599291889/10000000000000000))) 1)
(/.f64 y 10000000000000000/692910599291889)
(/.f64 1 (/.f64 10000000000000000/692910599291889 y))
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(pow.f64 (*.f64 (pow.f64 y 3) 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000) 1/3)
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(sqrt.f64 (pow.f64 (*.f64 y 692910599291889/10000000000000000) 2))
(log.f64 (pow.f64 (exp.f64 692910599291889/10000000000000000) y))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 y 692910599291889/10000000000000000))))
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(expm1.f64 (log1p.f64 (*.f64 y 692910599291889/10000000000000000)))
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(exp.f64 (*.f64 (log.f64 (*.f64 y 692910599291889/10000000000000000)) 1))
(log1p.f64 (expm1.f64 (*.f64 y 692910599291889/10000000000000000)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 307332350656623/625000000000000 (/.f64 y z)))) 1)
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(pow.f64 (cbrt.f64 (*.f64 307332350656623/625000000000000 (/.f64 y z))) 3)
(pow.f64 (*.f64 (pow.f64 (/.f64 y z) 3) 29028515918677826297037119458939297513676367/244140625000000000000000000000000000000000000) 1/3)
(pow.f64 (sqrt.f64 (*.f64 307332350656623/625000000000000 (/.f64 y z))) 2)
(sqrt.f64 (*.f64 (pow.f64 (/.f64 y z) 2) 94453173760125479739253764129/390625000000000000000000000000))
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(-.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 y 4166096748901211929300981260567/10000000000000000000000000000000) z))) 1)
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(pow.f64 (pow.f64 (/.f64 (*.f64 y 4166096748901211929300981260567/10000000000000000000000000000000) z) 3) 1/3)
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(cbrt.f64 (pow.f64 (/.f64 (*.f64 y 4166096748901211929300981260567/10000000000000000000000000000000) z) 3))
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(log1p.f64 (expm1.f64 (/.f64 (*.f64 y 4166096748901211929300981260567/10000000000000000000000000000000) z)))
Outputs
(*.f64 279195317918525/3350343815022304 y)
(*.f64 279195317918525/3350343815022304 y)
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x
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x
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x
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(*.f64 (/.f64 307332350656623/625000000000000 z) y)
(cbrt.f64 (*.f64 (pow.f64 (/.f64 y z) 3) 29028515918677826297037119458939297513676367/244140625000000000000000000000000000000000000))
(expm1.f64 (log1p.f64 (*.f64 307332350656623/625000000000000 (/.f64 y z))))
(/.f64 y (/.f64 z 307332350656623/625000000000000))
(*.f64 (/.f64 307332350656623/625000000000000 z) y)
(exp.f64 (log.f64 (*.f64 307332350656623/625000000000000 (/.f64 y z))))
(/.f64 y (/.f64 z 307332350656623/625000000000000))
(*.f64 (/.f64 307332350656623/625000000000000 z) y)
(exp.f64 (*.f64 (log.f64 (*.f64 307332350656623/625000000000000 (/.f64 y z))) 1))
(/.f64 y (/.f64 z 307332350656623/625000000000000))
(*.f64 (/.f64 307332350656623/625000000000000 z) y)
(log1p.f64 (expm1.f64 (*.f64 307332350656623/625000000000000 (/.f64 y z))))
(/.f64 y (/.f64 z 307332350656623/625000000000000))
(*.f64 (/.f64 307332350656623/625000000000000 z) y)
(-.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 y 4166096748901211929300981260567/10000000000000000000000000000000) z))) 1)
(/.f64 y (/.f64 z 4166096748901211929300981260567/10000000000000000000000000000000))
(*.f64 (/.f64 y z) 4166096748901211929300981260567/10000000000000000000000000000000)
(/.f64 4166096748901211929300981260567/10000000000000000000000000000000 (/.f64 z y))
(/.f64 y (/.f64 z 4166096748901211929300981260567/10000000000000000000000000000000))
(*.f64 (/.f64 y z) 4166096748901211929300981260567/10000000000000000000000000000000)
(/.f64 1 (/.f64 z (*.f64 y 4166096748901211929300981260567/10000000000000000000000000000000)))
(/.f64 y (/.f64 z 4166096748901211929300981260567/10000000000000000000000000000000))
(*.f64 (/.f64 y z) 4166096748901211929300981260567/10000000000000000000000000000000)
(/.f64 (*.f64 y 4166096748901211929300981260567/10000000000000000000000000000000) z)
(/.f64 y (/.f64 z 4166096748901211929300981260567/10000000000000000000000000000000))
(*.f64 (/.f64 y z) 4166096748901211929300981260567/10000000000000000000000000000000)
(/.f64 (neg.f64 (*.f64 y 4166096748901211929300981260567/10000000000000000000000000000000)) (neg.f64 z))
(/.f64 y (/.f64 z 4166096748901211929300981260567/10000000000000000000000000000000))
(*.f64 (/.f64 y z) 4166096748901211929300981260567/10000000000000000000000000000000)
(/.f64 (*.f64 4166096748901211929300981260567/10000000000000000000000000000000 (neg.f64 y)) (neg.f64 z))
(/.f64 y (/.f64 z 4166096748901211929300981260567/10000000000000000000000000000000))
(*.f64 (/.f64 y z) 4166096748901211929300981260567/10000000000000000000000000000000)
(/.f64 (*.f64 (neg.f64 y) 4166096748901211929300981260567/10000000000000000000000000000000) (neg.f64 z))
(/.f64 y (/.f64 z 4166096748901211929300981260567/10000000000000000000000000000000))
(*.f64 (/.f64 y z) 4166096748901211929300981260567/10000000000000000000000000000000)
(/.f64 (/.f64 (*.f64 y 4166096748901211929300981260567/10000000000000000000000000000000) 1) z)
(/.f64 y (/.f64 z 4166096748901211929300981260567/10000000000000000000000000000000))
(*.f64 (/.f64 y z) 4166096748901211929300981260567/10000000000000000000000000000000)
(/.f64 (/.f64 (*.f64 y 4166096748901211929300981260567/10000000000000000000000000000000) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z))
(/.f64 y (/.f64 z 4166096748901211929300981260567/10000000000000000000000000000000))
(*.f64 (/.f64 y z) 4166096748901211929300981260567/10000000000000000000000000000000)
(/.f64 (/.f64 (*.f64 y 4166096748901211929300981260567/10000000000000000000000000000000) (sqrt.f64 z)) (sqrt.f64 z))
(/.f64 y (/.f64 z 4166096748901211929300981260567/10000000000000000000000000000000))
(*.f64 (/.f64 y z) 4166096748901211929300981260567/10000000000000000000000000000000)
(pow.f64 (/.f64 (*.f64 y 4166096748901211929300981260567/10000000000000000000000000000000) z) 1)
(/.f64 y (/.f64 z 4166096748901211929300981260567/10000000000000000000000000000000))
(*.f64 (/.f64 y z) 4166096748901211929300981260567/10000000000000000000000000000000)
(pow.f64 (cbrt.f64 (/.f64 (*.f64 y 4166096748901211929300981260567/10000000000000000000000000000000) z)) 3)
(/.f64 y (/.f64 z 4166096748901211929300981260567/10000000000000000000000000000000))
(*.f64 (/.f64 y z) 4166096748901211929300981260567/10000000000000000000000000000000)
(pow.f64 (pow.f64 (/.f64 (*.f64 y 4166096748901211929300981260567/10000000000000000000000000000000) z) 3) 1/3)
(/.f64 y (/.f64 z 4166096748901211929300981260567/10000000000000000000000000000000))
(*.f64 (/.f64 y z) 4166096748901211929300981260567/10000000000000000000000000000000)
(pow.f64 (sqrt.f64 (/.f64 (*.f64 y 4166096748901211929300981260567/10000000000000000000000000000000) z)) 2)
(/.f64 y (/.f64 z 4166096748901211929300981260567/10000000000000000000000000000000))
(*.f64 (/.f64 y z) 4166096748901211929300981260567/10000000000000000000000000000000)
(sqrt.f64 (pow.f64 (/.f64 (*.f64 y 4166096748901211929300981260567/10000000000000000000000000000000) z) 2))
(sqrt.f64 (pow.f64 (/.f64 y (/.f64 z 4166096748901211929300981260567/10000000000000000000000000000000)) 2))
(fabs.f64 (*.f64 (/.f64 y z) 4166096748901211929300981260567/10000000000000000000000000000000))
(log.f64 (pow.f64 (exp.f64 4166096748901211929300981260567/10000000000000000000000000000000) (/.f64 y z)))
(/.f64 y (/.f64 z 4166096748901211929300981260567/10000000000000000000000000000000))
(*.f64 (/.f64 y z) 4166096748901211929300981260567/10000000000000000000000000000000)
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (*.f64 y 4166096748901211929300981260567/10000000000000000000000000000000) z))))
(/.f64 y (/.f64 z 4166096748901211929300981260567/10000000000000000000000000000000))
(*.f64 (/.f64 y z) 4166096748901211929300981260567/10000000000000000000000000000000)
(cbrt.f64 (pow.f64 (/.f64 (*.f64 y 4166096748901211929300981260567/10000000000000000000000000000000) z) 3))
(/.f64 y (/.f64 z 4166096748901211929300981260567/10000000000000000000000000000000))
(*.f64 (/.f64 y z) 4166096748901211929300981260567/10000000000000000000000000000000)
(expm1.f64 (log1p.f64 (/.f64 (*.f64 y 4166096748901211929300981260567/10000000000000000000000000000000) z)))
(/.f64 y (/.f64 z 4166096748901211929300981260567/10000000000000000000000000000000))
(*.f64 (/.f64 y z) 4166096748901211929300981260567/10000000000000000000000000000000)
(exp.f64 (log.f64 (/.f64 (*.f64 y 4166096748901211929300981260567/10000000000000000000000000000000) z)))
(/.f64 y (/.f64 z 4166096748901211929300981260567/10000000000000000000000000000000))
(*.f64 (/.f64 y z) 4166096748901211929300981260567/10000000000000000000000000000000)
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 y 4166096748901211929300981260567/10000000000000000000000000000000) z)) 1))
(/.f64 y (/.f64 z 4166096748901211929300981260567/10000000000000000000000000000000))
(*.f64 (/.f64 y z) 4166096748901211929300981260567/10000000000000000000000000000000)
(log1p.f64 (expm1.f64 (/.f64 (*.f64 y 4166096748901211929300981260567/10000000000000000000000000000000) z)))
(/.f64 y (/.f64 z 4166096748901211929300981260567/10000000000000000000000000000000))
(*.f64 (/.f64 y z) 4166096748901211929300981260567/10000000000000000000000000000000)

eval186.0ms (1.8%)

Compiler

Compiled 8657 to 5788 computations (33.1% saved)

prune108.0ms (1%)

Pruning

14 alts after pruning (8 fresh and 6 done)

PrunedKeptTotal
New5121513
Fresh077
Picked055
Done011
Total51214526
Accuracy
100.0%
Counts
526 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
80.5%
(+.f64 (*.f64 y 279195317918525/3350343815022304) x)
77.9%
(+.f64 (*.f64 y 692910599291889/10000000000000000) x)
76.8%
(+.f64 x (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) y)))
69.8%
(+.f64 x (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
78.1%
(+.f64 x (/.f64 y (/.f64 (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000) (fma.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z 11167812716741/40000000000000))))
73.4%
(+.f64 x (/.f64 y (-.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z))))
77.0%
(+.f64 x (/.f64 y (+.f64 3350343815022304/279195317918525 (*.f64 z 155900051080628738716045985239/389750127738131234692690878125))))
73.2%
(+.f64 x (/.f64 y (*.f64 (-.f64 100000000000000000000000000000000/480125098611044764748221188321 (/.f64 6270364254557689706852415151458915283848193496650003879572100/25613345590696162165292110140311348483404994348943260755449 (pow.f64 z 2))) (/.f64 1 (+.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z))))))
78.0%
(+.f64 x (/.f64 y 10000000000000000/692910599291889))
80.5%
(+.f64 x (/.f64 y 3350343815022304/279195317918525))
64.9%
(+.f64 x (-.f64 (+.f64 (*.f64 692910599291889/10000000000000000 y) (*.f64 307332350656623/625000000000000 (/.f64 y z))) (*.f64 4166096748901211929300981260567/10000000000000000000000000000000 (/.f64 y z))))
65.2%
(+.f64 x (-.f64 (*.f64 y 692910599291889/10000000000000000) (/.f64 (*.f64 y -751220861604756070699018739433/10000000000000000000000000000000) z)))
39.5%
(*.f64 y (+.f64 (*.f64 11167812716741/40000000000000 (/.f64 1 (+.f64 104698244219447/31250000000000 (*.f64 z (+.f64 6012459259764103/1000000000000000 z))))) (/.f64 (*.f64 z (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z))) (+.f64 104698244219447/31250000000000 (*.f64 z (+.f64 6012459259764103/1000000000000000 z))))))
51.1%
x
80.5%
(+.f64 (*.f64 y 279195317918525/3350343815022304) x)
77.9%
(+.f64 (*.f64 y 692910599291889/10000000000000000) x)
76.8%
(+.f64 x (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) y)))
69.8%
(+.f64 x (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
78.1%
(+.f64 x (/.f64 y (/.f64 (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000) (fma.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z 11167812716741/40000000000000))))
73.4%
(+.f64 x (/.f64 y (-.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z))))
77.0%
(+.f64 x (/.f64 y (+.f64 3350343815022304/279195317918525 (*.f64 z 155900051080628738716045985239/389750127738131234692690878125))))
73.2%
(+.f64 x (/.f64 y (*.f64 (-.f64 100000000000000000000000000000000/480125098611044764748221188321 (/.f64 6270364254557689706852415151458915283848193496650003879572100/25613345590696162165292110140311348483404994348943260755449 (pow.f64 z 2))) (/.f64 1 (+.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z))))))
78.0%
(+.f64 x (/.f64 y 10000000000000000/692910599291889))
80.5%
(+.f64 x (/.f64 y 3350343815022304/279195317918525))
64.9%
(+.f64 x (-.f64 (+.f64 (*.f64 692910599291889/10000000000000000 y) (*.f64 307332350656623/625000000000000 (/.f64 y z))) (*.f64 4166096748901211929300981260567/10000000000000000000000000000000 (/.f64 y z))))
65.2%
(+.f64 x (-.f64 (*.f64 y 692910599291889/10000000000000000) (/.f64 (*.f64 y -751220861604756070699018739433/10000000000000000000000000000000) z)))
39.5%
(*.f64 y (+.f64 (*.f64 11167812716741/40000000000000 (/.f64 1 (+.f64 104698244219447/31250000000000 (*.f64 z (+.f64 6012459259764103/1000000000000000 z))))) (/.f64 (*.f64 z (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z))) (+.f64 104698244219447/31250000000000 (*.f64 z (+.f64 6012459259764103/1000000000000000 z))))))
51.1%
x
Compiler

Compiled 692 to 518 computations (25.1% saved)

localize273.0ms (2.6%)

Localize:

Found 17 expressions with local error:

NewAccuracyProgram
99.3%
(*.f64 692910599291889/10000000000000000 z)
99.2%
(/.f64 1 (+.f64 104698244219447/31250000000000 (*.f64 z (+.f64 6012459259764103/1000000000000000 z))))
99.1%
(*.f64 11167812716741/40000000000000 (/.f64 1 (+.f64 104698244219447/31250000000000 (*.f64 z (+.f64 6012459259764103/1000000000000000 z)))))
78.5%
(/.f64 (*.f64 z (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z))) (+.f64 104698244219447/31250000000000 (*.f64 z (+.f64 6012459259764103/1000000000000000 z))))
100.0%
(+.f64 x (-.f64 (*.f64 y 692910599291889/10000000000000000) (/.f64 (*.f64 y -751220861604756070699018739433/10000000000000000000000000000000) z)))
99.8%
(/.f64 (*.f64 y -751220861604756070699018739433/10000000000000000000000000000000) z)
99.6%
(*.f64 y -751220861604756070699018739433/10000000000000000000000000000000)
99.3%
(*.f64 y 692910599291889/10000000000000000)
100.0%
(+.f64 3350343815022304/279195317918525 (*.f64 z 155900051080628738716045985239/389750127738131234692690878125))
99.9%
(*.f64 z 155900051080628738716045985239/389750127738131234692690878125)
99.7%
(/.f64 y (+.f64 3350343815022304/279195317918525 (*.f64 z 155900051080628738716045985239/389750127738131234692690878125)))
100.0%
(+.f64 (*.f64 y 692910599291889/10000000000000000) x)
99.3%
(*.f64 y 692910599291889/10000000000000000)
99.9%
(fma.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z 11167812716741/40000000000000)
99.9%
(/.f64 y (/.f64 (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000) (fma.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z 11167812716741/40000000000000)))
99.3%
(*.f64 z 692910599291889/10000000000000000)
77.9%
(/.f64 (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000) (fma.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z 11167812716741/40000000000000))
Compiler

Compiled 293 to 207 computations (29.4% saved)

series18.0ms (0.2%)

Counts
16 → 252
Calls

66 calls:

TimeVariablePointExpression
2.0ms
z
@-inf
(/.f64 (*.f64 z (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z))) (+.f64 104698244219447/31250000000000 (*.f64 z (+.f64 6012459259764103/1000000000000000 z))))
2.0ms
y
@inf
(/.f64 y (+.f64 3350343815022304/279195317918525 (*.f64 z 155900051080628738716045985239/389750127738131234692690878125)))
1.0ms
y
@0
(/.f64 y (+.f64 3350343815022304/279195317918525 (*.f64 z 155900051080628738716045985239/389750127738131234692690878125)))
1.0ms
y
@0
(/.f64 y (/.f64 (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000) (fma.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z 11167812716741/40000000000000)))
1.0ms
y
@-inf
(/.f64 y (+.f64 3350343815022304/279195317918525 (*.f64 z 155900051080628738716045985239/389750127738131234692690878125)))

rewrite141.0ms (1.4%)

Algorithm
batch-egg-rewrite
Rules
311×log1p-expm1-u
311×expm1-log1p-u
309×add-cube-cbrt
306×add-exp-log
306×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
044395
1747387
Stop Event
node limit
Counts
16 → 363
Calls
Call 1
Inputs
(/.f64 (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000) (fma.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z 11167812716741/40000000000000))
(/.f64 y (/.f64 (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000) (fma.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z 11167812716741/40000000000000)))
(fma.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z 11167812716741/40000000000000)
(*.f64 y 692910599291889/10000000000000000)
(+.f64 (*.f64 y 692910599291889/10000000000000000) x)
(/.f64 y (+.f64 3350343815022304/279195317918525 (*.f64 z 155900051080628738716045985239/389750127738131234692690878125)))
(*.f64 z 155900051080628738716045985239/389750127738131234692690878125)
(+.f64 3350343815022304/279195317918525 (*.f64 z 155900051080628738716045985239/389750127738131234692690878125))
(*.f64 y 692910599291889/10000000000000000)
(*.f64 y -751220861604756070699018739433/10000000000000000000000000000000)
(/.f64 (*.f64 y -751220861604756070699018739433/10000000000000000000000000000000) z)
(+.f64 x (-.f64 (*.f64 y 692910599291889/10000000000000000) (/.f64 (*.f64 y -751220861604756070699018739433/10000000000000000000000000000000) z)))
(/.f64 (*.f64 z (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z))) (+.f64 104698244219447/31250000000000 (*.f64 z (+.f64 6012459259764103/1000000000000000 z))))
(*.f64 11167812716741/40000000000000 (/.f64 1 (+.f64 104698244219447/31250000000000 (*.f64 z (+.f64 6012459259764103/1000000000000000 z)))))
(/.f64 1 (+.f64 104698244219447/31250000000000 (*.f64 z (+.f64 6012459259764103/1000000000000000 z))))
(*.f64 692910599291889/10000000000000000 z)
Outputs
(-.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)))) 1)
(*.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) (/.f64 1 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)))
(*.f64 1 (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000))) 2) (cbrt.f64 (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000))))
(*.f64 (sqrt.f64 (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000))) (sqrt.f64 (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000))))
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simplify247.0ms (2.4%)

Algorithm
egg-herbie
Rules
1136×associate-*r*
856×fma-def
588×times-frac
512×distribute-rgt-in
480×sqr-pow
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0104621032
1268420030
Stop Event
node limit
Counts
615 → 618
Calls
Call 1
Inputs
3350343815022304/279195317918525
(+.f64 3350343815022304/279195317918525 (*.f64 155900051080628738716045985239/389750127738131234692690878125 z))
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10000000000000000/692910599291889
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10000000000000000/692910599291889
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(cbrt.f64 (pow.f64 (/.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) 3))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 3) (pow.f64 (/.f64 1 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) 3)))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 3) (pow.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) 3)))
(expm1.f64 (log1p.f64 (/.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))))
(exp.f64 (log.f64 (/.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) 1))
(log1p.f64 (expm1.f64 (/.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 11167812716741/40000000000000 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))) 1)
(/.f64 11167812716741/40000000000000 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))
(/.f64 -11167812716741/40000000000000 (neg.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))
(pow.f64 (/.f64 11167812716741/40000000000000 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) 1)
(pow.f64 (cbrt.f64 (/.f64 11167812716741/40000000000000 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) 3)
(pow.f64 (pow.f64 (/.f64 11167812716741/40000000000000 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 11167812716741/40000000000000 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) 2)
(sqrt.f64 (/.f64 124720040876201995101661081/1600000000000000000000000000 (pow.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) 2)))
(log.f64 (exp.f64 (/.f64 11167812716741/40000000000000 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 11167812716741/40000000000000 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))))
(cbrt.f64 (pow.f64 (/.f64 11167812716741/40000000000000 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) 3))
(expm1.f64 (log1p.f64 (/.f64 11167812716741/40000000000000 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))))
(exp.f64 (log.f64 (/.f64 11167812716741/40000000000000 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))))
(exp.f64 (*.f64 (log.f64 (/.f64 11167812716741/40000000000000 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) 1))
(log1p.f64 (expm1.f64 (/.f64 11167812716741/40000000000000 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))) 1)
(*.f64 1 (/.f64 1 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) -2)) (/.f64 1 (cbrt.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))))
(*.f64 (pow.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) -1/2) (pow.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) -1/2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) 2) -1) (pow.f64 (cbrt.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) -1))
(*.f64 (pow.f64 (sqrt.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) -1) (pow.f64 (sqrt.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) -1))
(pow.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) -1)
(pow.f64 (/.f64 1 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) 1)
(pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) 3)
(pow.f64 (pow.f64 (/.f64 1 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) 3) 1/3)
(pow.f64 (pow.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) -1/2) 2)
(pow.f64 (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) 1) -1)
(sqrt.f64 (pow.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) -2))
(log.f64 (exp.f64 (/.f64 1 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))))
(cbrt.f64 (pow.f64 (/.f64 1 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) 3))
(expm1.f64 (log1p.f64 (/.f64 1 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))))
(exp.f64 (neg.f64 (log.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))))
(exp.f64 (*.f64 (log.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) -1))
(exp.f64 (*.f64 (neg.f64 (log.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) 1))
(log1p.f64 (expm1.f64 (/.f64 1 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 z 692910599291889/10000000000000000))) 1)
(pow.f64 (*.f64 z 692910599291889/10000000000000000) 1)
(pow.f64 (cbrt.f64 (*.f64 z 692910599291889/10000000000000000)) 3)
(pow.f64 (*.f64 (pow.f64 z 3) 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000) 1/3)
(pow.f64 (sqrt.f64 (*.f64 z 692910599291889/10000000000000000)) 2)
(sqrt.f64 (pow.f64 (*.f64 z 692910599291889/10000000000000000) 2))
(log.f64 (pow.f64 (exp.f64 z) 692910599291889/10000000000000000))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 z 692910599291889/10000000000000000))))
(cbrt.f64 (*.f64 (pow.f64 z 3) 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000))
(expm1.f64 (log1p.f64 (*.f64 z 692910599291889/10000000000000000)))
(exp.f64 (log.f64 (*.f64 z 692910599291889/10000000000000000)))
(exp.f64 (*.f64 (log.f64 (*.f64 z 692910599291889/10000000000000000)) 1))
(log1p.f64 (expm1.f64 (*.f64 z 692910599291889/10000000000000000)))
Outputs
3350343815022304/279195317918525
(+.f64 3350343815022304/279195317918525 (*.f64 155900051080628738716045985239/389750127738131234692690878125 z))
(fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525)
(+.f64 3350343815022304/279195317918525 (+.f64 (*.f64 -54926362148836417054593262229306108478309176/544082054113166395691471098236108147273828125 (pow.f64 z 2)) (*.f64 155900051080628738716045985239/389750127738131234692690878125 z)))
(+.f64 3350343815022304/279195317918525 (fma.f64 -54926362148836417054593262229306108478309176/544082054113166395691471098236108147273828125 (pow.f64 z 2) (*.f64 155900051080628738716045985239/389750127738131234692690878125 z)))
(+.f64 3350343815022304/279195317918525 (+.f64 (*.f64 -54926362148836417054593262229306108478309176/544082054113166395691471098236108147273828125 (pow.f64 z 2)) (+.f64 (*.f64 119290279017840661005388637518195067609906756376454090785993/1519051620718896144731238710708768455317203651375836035156250 (pow.f64 z 3)) (*.f64 155900051080628738716045985239/389750127738131234692690878125 z))))
(+.f64 3350343815022304/279195317918525 (fma.f64 -54926362148836417054593262229306108478309176/544082054113166395691471098236108147273828125 (pow.f64 z 2) (fma.f64 119290279017840661005388637518195067609906756376454090785993/1519051620718896144731238710708768455317203651375836035156250 (pow.f64 z 3) (*.f64 155900051080628738716045985239/389750127738131234692690878125 z))))
(+.f64 (fma.f64 -54926362148836417054593262229306108478309176/544082054113166395691471098236108147273828125 (pow.f64 z 2) (*.f64 119290279017840661005388637518195067609906756376454090785993/1519051620718896144731238710708768455317203651375836035156250 (pow.f64 z 3))) (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525))
10000000000000000/692910599291889
(-.f64 10000000000000000/692910599291889 (*.f64 2504069538682520235663395798110/160041699537014921582740396107 (/.f64 1 z)))
(-.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z))
(+.f64 10000000000000000/692910599291889 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z))
(-.f64 (+.f64 10000000000000000/692910599291889 (*.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 (/.f64 1 (pow.f64 z 2)))) (*.f64 2504069538682520235663395798110/160041699537014921582740396107 (/.f64 1 z)))
(-.f64 (+.f64 10000000000000000/692910599291889 (/.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 (pow.f64 z 2))) (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z))
(+.f64 (/.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 (pow.f64 z 2)) (+.f64 10000000000000000/692910599291889 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z)))
(-.f64 (+.f64 10000000000000000/692910599291889 (*.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 (/.f64 1 (pow.f64 z 2)))) (+.f64 (*.f64 2504069538682520235663395798110/160041699537014921582740396107 (/.f64 1 z)) (*.f64 16786935706664028189662164809307809759746763248896955684846060/25613345590696162165292110140311348483404994348943260755449 (/.f64 1 (pow.f64 z 3)))))
(-.f64 (+.f64 10000000000000000/692910599291889 (/.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 (pow.f64 z 2))) (+.f64 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z) (/.f64 16786935706664028189662164809307809759746763248896955684846060/25613345590696162165292110140311348483404994348943260755449 (pow.f64 z 3))))
(-.f64 (+.f64 (/.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 (pow.f64 z 2)) (+.f64 10000000000000000/692910599291889 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z))) (/.f64 16786935706664028189662164809307809759746763248896955684846060/25613345590696162165292110140311348483404994348943260755449 (pow.f64 z 3)))
10000000000000000/692910599291889
(-.f64 10000000000000000/692910599291889 (*.f64 2504069538682520235663395798110/160041699537014921582740396107 (/.f64 1 z)))
(-.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z))
(+.f64 10000000000000000/692910599291889 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z))
(-.f64 (+.f64 10000000000000000/692910599291889 (*.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 (/.f64 1 (pow.f64 z 2)))) (*.f64 2504069538682520235663395798110/160041699537014921582740396107 (/.f64 1 z)))
(-.f64 (+.f64 10000000000000000/692910599291889 (/.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 (pow.f64 z 2))) (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z))
(+.f64 (/.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 (pow.f64 z 2)) (+.f64 10000000000000000/692910599291889 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z)))
(-.f64 (+.f64 10000000000000000/692910599291889 (*.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 (/.f64 1 (pow.f64 z 2)))) (+.f64 (*.f64 2504069538682520235663395798110/160041699537014921582740396107 (/.f64 1 z)) (*.f64 16786935706664028189662164809307809759746763248896955684846060/25613345590696162165292110140311348483404994348943260755449 (/.f64 1 (pow.f64 z 3)))))
(-.f64 (+.f64 10000000000000000/692910599291889 (/.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 (pow.f64 z 2))) (+.f64 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z) (/.f64 16786935706664028189662164809307809759746763248896955684846060/25613345590696162165292110140311348483404994348943260755449 (pow.f64 z 3))))
(-.f64 (+.f64 (/.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 (pow.f64 z 2)) (+.f64 10000000000000000/692910599291889 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z))) (/.f64 16786935706664028189662164809307809759746763248896955684846060/25613345590696162165292110140311348483404994348943260755449 (pow.f64 z 3)))
(/.f64 (*.f64 y (+.f64 11167812716741/40000000000000 (*.f64 z (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z))))) (+.f64 104698244219447/31250000000000 (*.f64 z (+.f64 6012459259764103/1000000000000000 z))))
(*.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))
(/.f64 (*.f64 y (+.f64 11167812716741/40000000000000 (*.f64 z (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z))))) (+.f64 104698244219447/31250000000000 (*.f64 z (+.f64 6012459259764103/1000000000000000 z))))
(*.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))
(/.f64 (*.f64 y (+.f64 11167812716741/40000000000000 (*.f64 z (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z))))) (+.f64 104698244219447/31250000000000 (*.f64 z (+.f64 6012459259764103/1000000000000000 z))))
(*.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))
(/.f64 (*.f64 y (+.f64 11167812716741/40000000000000 (*.f64 z (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z))))) (+.f64 104698244219447/31250000000000 (*.f64 z (+.f64 6012459259764103/1000000000000000 z))))
(*.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))
(/.f64 (*.f64 y (+.f64 11167812716741/40000000000000 (*.f64 z (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z))))) (+.f64 104698244219447/31250000000000 (*.f64 z (+.f64 6012459259764103/1000000000000000 z))))
(*.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))
(/.f64 (*.f64 y (+.f64 11167812716741/40000000000000 (*.f64 z (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z))))) (+.f64 104698244219447/31250000000000 (*.f64 z (+.f64 6012459259764103/1000000000000000 z))))
(*.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))
(/.f64 (*.f64 y (+.f64 11167812716741/40000000000000 (*.f64 z (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z))))) (+.f64 104698244219447/31250000000000 (*.f64 z (+.f64 6012459259764103/1000000000000000 z))))
(*.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))
(/.f64 (*.f64 y (+.f64 11167812716741/40000000000000 (*.f64 z (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z))))) (+.f64 104698244219447/31250000000000 (*.f64 z (+.f64 6012459259764103/1000000000000000 z))))
(*.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))
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(sqrt.f64 (pow.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) -2))
(log.f64 (exp.f64 (/.f64 1 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))))
(/.f64 1 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))))
(/.f64 1 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))
(cbrt.f64 (pow.f64 (/.f64 1 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) 3))
(/.f64 1 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))
(expm1.f64 (log1p.f64 (/.f64 1 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))))
(/.f64 1 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))
(exp.f64 (neg.f64 (log.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))))
(/.f64 1 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))
(exp.f64 (*.f64 (log.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) -1))
(/.f64 1 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))
(exp.f64 (*.f64 (neg.f64 (log.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) 1))
(/.f64 1 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))
(log1p.f64 (expm1.f64 (/.f64 1 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))))
(/.f64 1 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))
(-.f64 (exp.f64 (log1p.f64 (*.f64 z 692910599291889/10000000000000000))) 1)
(*.f64 z 692910599291889/10000000000000000)
(pow.f64 (*.f64 z 692910599291889/10000000000000000) 1)
(*.f64 z 692910599291889/10000000000000000)
(pow.f64 (cbrt.f64 (*.f64 z 692910599291889/10000000000000000)) 3)
(*.f64 z 692910599291889/10000000000000000)
(pow.f64 (*.f64 (pow.f64 z 3) 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000) 1/3)
(cbrt.f64 (*.f64 (pow.f64 z 3) 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000))
(pow.f64 (sqrt.f64 (*.f64 z 692910599291889/10000000000000000)) 2)
(*.f64 z 692910599291889/10000000000000000)
(sqrt.f64 (pow.f64 (*.f64 z 692910599291889/10000000000000000) 2))
(fabs.f64 (*.f64 z 692910599291889/10000000000000000))
(log.f64 (pow.f64 (exp.f64 z) 692910599291889/10000000000000000))
(*.f64 z 692910599291889/10000000000000000)
(log.f64 (+.f64 1 (expm1.f64 (*.f64 z 692910599291889/10000000000000000))))
(*.f64 z 692910599291889/10000000000000000)
(cbrt.f64 (*.f64 (pow.f64 z 3) 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000))
(expm1.f64 (log1p.f64 (*.f64 z 692910599291889/10000000000000000)))
(*.f64 z 692910599291889/10000000000000000)
(exp.f64 (log.f64 (*.f64 z 692910599291889/10000000000000000)))
(*.f64 z 692910599291889/10000000000000000)
(exp.f64 (*.f64 (log.f64 (*.f64 z 692910599291889/10000000000000000)) 1))
(*.f64 z 692910599291889/10000000000000000)
(log1p.f64 (expm1.f64 (*.f64 z 692910599291889/10000000000000000)))
(*.f64 z 692910599291889/10000000000000000)

eval304.0ms (2.9%)

Compiler

Compiled 14690 to 10596 computations (27.9% saved)

prune132.0ms (1.3%)

Pruning

14 alts after pruning (6 fresh and 8 done)

PrunedKeptTotal
New6433646
Fresh033
Picked235
Done156
Total64614660
Accuracy
100.0%
Counts
660 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
23.0%
(-.f64 (*.f64 692910599291889/10000000000000000 y) (*.f64 -751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)))
80.5%
(+.f64 (*.f64 y 279195317918525/3350343815022304) x)
77.9%
(+.f64 (*.f64 y 692910599291889/10000000000000000) x)
76.8%
(+.f64 x (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) y)))
69.8%
(+.f64 x (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
78.1%
(+.f64 x (/.f64 y (/.f64 (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000) (fma.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z 11167812716741/40000000000000))))
77.0%
(+.f64 x (/.f64 y (+.f64 3350343815022304/279195317918525 (*.f64 z 155900051080628738716045985239/389750127738131234692690878125))))
73.2%
(+.f64 x (/.f64 y (*.f64 (-.f64 100000000000000000000000000000000/480125098611044764748221188321 (/.f64 6270364254557689706852415151458915283848193496650003879572100/25613345590696162165292110140311348483404994348943260755449 (pow.f64 z 2))) (/.f64 1 (+.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z))))))
78.0%
(+.f64 x (/.f64 y 10000000000000000/692910599291889))
80.5%
(+.f64 x (/.f64 y 3350343815022304/279195317918525))
64.9%
(+.f64 x (-.f64 (+.f64 (*.f64 692910599291889/10000000000000000 y) (*.f64 307332350656623/625000000000000 (/.f64 y z))) (*.f64 4166096748901211929300981260567/10000000000000000000000000000000 (/.f64 y z))))
39.9%
(*.f64 y (+.f64 (/.f64 -11167812716741/40000000000000 (-.f64 -104698244219447/31250000000000 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)))) (/.f64 (*.f64 z (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z))) (+.f64 104698244219447/31250000000000 (*.f64 z (+.f64 6012459259764103/1000000000000000 z))))))
23.0%
(*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)))
51.1%
x
23.0%
(-.f64 (*.f64 692910599291889/10000000000000000 y) (*.f64 -751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)))
80.5%
(+.f64 (*.f64 y 279195317918525/3350343815022304) x)
77.9%
(+.f64 (*.f64 y 692910599291889/10000000000000000) x)
76.8%
(+.f64 x (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) y)))
69.8%
(+.f64 x (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
78.1%
(+.f64 x (/.f64 y (/.f64 (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000) (fma.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z 11167812716741/40000000000000))))
77.0%
(+.f64 x (/.f64 y (+.f64 3350343815022304/279195317918525 (*.f64 z 155900051080628738716045985239/389750127738131234692690878125))))
73.2%
(+.f64 x (/.f64 y (*.f64 (-.f64 100000000000000000000000000000000/480125098611044764748221188321 (/.f64 6270364254557689706852415151458915283848193496650003879572100/25613345590696162165292110140311348483404994348943260755449 (pow.f64 z 2))) (/.f64 1 (+.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z))))))
78.0%
(+.f64 x (/.f64 y 10000000000000000/692910599291889))
80.5%
(+.f64 x (/.f64 y 3350343815022304/279195317918525))
64.9%
(+.f64 x (-.f64 (+.f64 (*.f64 692910599291889/10000000000000000 y) (*.f64 307332350656623/625000000000000 (/.f64 y z))) (*.f64 4166096748901211929300981260567/10000000000000000000000000000000 (/.f64 y z))))
39.9%
(*.f64 y (+.f64 (/.f64 -11167812716741/40000000000000 (-.f64 -104698244219447/31250000000000 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)))) (/.f64 (*.f64 z (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z))) (+.f64 104698244219447/31250000000000 (*.f64 z (+.f64 6012459259764103/1000000000000000 z))))))
23.0%
(*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)))
51.1%
x
Compiler

Compiled 608 to 458 computations (24.7% saved)

localize325.0ms (3.1%)

Localize:

Found 18 expressions with local error:

NewAccuracyProgram
99.8%
(/.f64 1 (+.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z)))
99.8%
(/.f64 2504069538682520235663395798110/160041699537014921582740396107 z)
98.9%
(/.f64 6270364254557689706852415151458915283848193496650003879572100/25613345590696162165292110140311348483404994348943260755449 (pow.f64 z 2))
75.8%
(*.f64 (-.f64 100000000000000000000000000000000/480125098611044764748221188321 (/.f64 6270364254557689706852415151458915283848193496650003879572100/25613345590696162165292110140311348483404994348943260755449 (pow.f64 z 2))) (/.f64 1 (+.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z))))
99.5%
(*.f64 y (+.f64 (/.f64 -11167812716741/40000000000000 (-.f64 -104698244219447/31250000000000 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)))) (/.f64 (*.f64 z (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z))) (+.f64 104698244219447/31250000000000 (*.f64 z (+.f64 6012459259764103/1000000000000000 z))))))
99.3%
(*.f64 692910599291889/10000000000000000 z)
99.2%
(/.f64 -11167812716741/40000000000000 (-.f64 -104698244219447/31250000000000 (*.f64 z (+.f64 z 6012459259764103/1000000000000000))))
78.5%
(/.f64 (*.f64 z (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z))) (+.f64 104698244219447/31250000000000 (*.f64 z (+.f64 6012459259764103/1000000000000000 z))))
100.0%
(-.f64 (*.f64 692910599291889/10000000000000000 y) (*.f64 -751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)))
99.3%
(*.f64 -751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z))
99.3%
(*.f64 692910599291889/10000000000000000 y)
100.0%
(+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))
99.7%
(/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)
99.5%
(*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)))
99.9%
(fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)
99.7%
(fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)
97.3%
(/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) y)
72.2%
(/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) y))
Compiler

Compiled 336 to 242 computations (28% saved)

series21.0ms (0.2%)

Counts
12 → 168
Calls

54 calls:

TimeVariablePointExpression
6.0ms
z
@0
(/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) y)
2.0ms
z
@0
(*.f64 (-.f64 100000000000000000000000000000000/480125098611044764748221188321 (/.f64 6270364254557689706852415151458915283848193496650003879572100/25613345590696162165292110140311348483404994348943260755449 (pow.f64 z 2))) (/.f64 1 (+.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z))))
1.0ms
y
@0
(*.f64 y (+.f64 (/.f64 -11167812716741/40000000000000 (-.f64 -104698244219447/31250000000000 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)))) (/.f64 (*.f64 z (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z))) (+.f64 104698244219447/31250000000000 (*.f64 z (+.f64 6012459259764103/1000000000000000 z))))))
1.0ms
z
@inf
(/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) y))
1.0ms
y
@0
(*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)))

rewrite124.0ms (1.2%)

Algorithm
batch-egg-rewrite
Rules
394×log1p-expm1-u
394×expm1-log1p-u
386×add-cube-cbrt
384×add-exp-log
384×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
055396
1943392
Stop Event
node limit
Counts
12 → 247
Calls
Call 1
Inputs
(/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) y))
(/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) y)
(*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)))
(/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)
(+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))
(*.f64 -751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z))
(-.f64 (*.f64 692910599291889/10000000000000000 y) (*.f64 -751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)))
(/.f64 -11167812716741/40000000000000 (-.f64 -104698244219447/31250000000000 (*.f64 z (+.f64 z 6012459259764103/1000000000000000))))
(*.f64 y (+.f64 (/.f64 -11167812716741/40000000000000 (-.f64 -104698244219447/31250000000000 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)))) (/.f64 (*.f64 z (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z))) (+.f64 104698244219447/31250000000000 (*.f64 z (+.f64 6012459259764103/1000000000000000 z))))))
(*.f64 (-.f64 100000000000000000000000000000000/480125098611044764748221188321 (/.f64 6270364254557689706852415151458915283848193496650003879572100/25613345590696162165292110140311348483404994348943260755449 (pow.f64 z 2))) (/.f64 1 (+.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z))))
(/.f64 6270364254557689706852415151458915283848193496650003879572100/25613345590696162165292110140311348483404994348943260755449 (pow.f64 z 2))
(/.f64 1 (+.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z)))
Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) y))) 1)
(*.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 1 (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) y)))
(*.f64 1 (*.f64 (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) y))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) y)) 2) (cbrt.f64 (*.f64 (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) y)))
(*.f64 (sqrt.f64 (*.f64 (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) y)) (sqrt.f64 (*.f64 (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) y)))
(*.f64 (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) y)
(pow.f64 (*.f64 (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) y) 1)
(pow.f64 (cbrt.f64 (*.f64 (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) y)) 3)
(pow.f64 (pow.f64 (*.f64 (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) y) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) y)) 2)
(pow.f64 (/.f64 (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) y) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)) -1)
(log.f64 (pow.f64 (exp.f64 (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) y))
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(fma.f64 (/.f64 -11167812716741/40000000000000 (-.f64 -104698244219447/31250000000000 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)))) y (*.f64 (/.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) y))
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(/.f64 (-.f64 100000000000000000000000000000000/480125098611044764748221188321 (*.f64 6270364254557689706852415151458915283848193496650003879572100/25613345590696162165292110140311348483404994348943260755449 (pow.f64 z -2))) (+.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z)))
(/.f64 (*.f64 (-.f64 100000000000000000000000000000000/480125098611044764748221188321 (*.f64 6270364254557689706852415151458915283848193496650003879572100/25613345590696162165292110140311348483404994348943260755449 (pow.f64 z -2))) 1) (+.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z)))
(pow.f64 (/.f64 (-.f64 100000000000000000000000000000000/480125098611044764748221188321 (*.f64 6270364254557689706852415151458915283848193496650003879572100/25613345590696162165292110140311348483404994348943260755449 (pow.f64 z -2))) (+.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z))) 1)
(pow.f64 (cbrt.f64 (/.f64 (-.f64 100000000000000000000000000000000/480125098611044764748221188321 (*.f64 6270364254557689706852415151458915283848193496650003879572100/25613345590696162165292110140311348483404994348943260755449 (pow.f64 z -2))) (+.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z)))) 3)
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(cbrt.f64 (*.f64 (pow.f64 (-.f64 100000000000000000000000000000000/480125098611044764748221188321 (*.f64 6270364254557689706852415151458915283848193496650003879572100/25613345590696162165292110140311348483404994348943260755449 (pow.f64 z -2))) 3) (pow.f64 (/.f64 1 (+.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z))) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 1 (+.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z))) 3) (pow.f64 (-.f64 100000000000000000000000000000000/480125098611044764748221188321 (*.f64 6270364254557689706852415151458915283848193496650003879572100/25613345590696162165292110140311348483404994348943260755449 (pow.f64 z -2))) 3)))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 100000000000000000000000000000000/480125098611044764748221188321 (*.f64 6270364254557689706852415151458915283848193496650003879572100/25613345590696162165292110140311348483404994348943260755449 (pow.f64 z -2))) 3) (pow.f64 (+.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z)) 3)))
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(exp.f64 (log.f64 (/.f64 (-.f64 100000000000000000000000000000000/480125098611044764748221188321 (*.f64 6270364254557689706852415151458915283848193496650003879572100/25613345590696162165292110140311348483404994348943260755449 (pow.f64 z -2))) (+.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z)))))
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(*.f64 6270364254557689706852415151458915283848193496650003879572100/25613345590696162165292110140311348483404994348943260755449 (pow.f64 z -2))
(*.f64 1 (*.f64 6270364254557689706852415151458915283848193496650003879572100/25613345590696162165292110140311348483404994348943260755449 (pow.f64 z -2)))
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(pow.f64 (*.f64 246534845204788139253147594254430968308551244151050897465456804162707889926125573627657100536838389171431967577559624553156419854341615482224460865092793619283814777407144590361000000/16803468179780775216885921295796359872061317221194245805326762852066607351889310309205964427004314445680118554586096926030424169762141806681622926973858003506099309833171783849 (pow.f64 (pow.f64 z -2) 3)) 1/3)
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(pow.f64 (/.f64 (pow.f64 z 2) 6270364254557689706852415151458915283848193496650003879572100/25613345590696162165292110140311348483404994348943260755449) -1)
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(expm1.f64 (log1p.f64 (*.f64 6270364254557689706852415151458915283848193496650003879572100/25613345590696162165292110140311348483404994348943260755449 (pow.f64 z -2))))
(exp.f64 (log.f64 (*.f64 6270364254557689706852415151458915283848193496650003879572100/25613345590696162165292110140311348483404994348943260755449 (pow.f64 z -2))))
(exp.f64 (*.f64 (log.f64 (*.f64 6270364254557689706852415151458915283848193496650003879572100/25613345590696162165292110140311348483404994348943260755449 (pow.f64 z -2))) 1))
(log1p.f64 (expm1.f64 (*.f64 6270364254557689706852415151458915283848193496650003879572100/25613345590696162165292110140311348483404994348943260755449 (pow.f64 z -2))))
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(*.f64 1 (/.f64 1 (+.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z)) -2)) (/.f64 1 (cbrt.f64 (+.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z)))))
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(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z))) 2) -1) (pow.f64 (cbrt.f64 (+.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z))) -1))
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(pow.f64 (sqrt.f64 (/.f64 1 (+.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z)))) 2)
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(exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z)))) 1))
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z)))))

simplify421.0ms (4.1%)

Algorithm
egg-herbie
Rules
1182×log-prod
1134×fma-neg
802×fma-def
632×associate-*r*
582×associate-*l*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
071918225
1182414764
2654914760
Stop Event
node limit
Counts
415 → 379
Calls
Call 1
Inputs
(*.f64 279195317918525/3350343815022304 y)
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(*.f64 692910599291889/10000000000000000 y)
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(pow.f64 (*.f64 6270364254557689706852415151458915283848193496650003879572100/25613345590696162165292110140311348483404994348943260755449 (pow.f64 z -2)) 1)
(pow.f64 (cbrt.f64 (*.f64 6270364254557689706852415151458915283848193496650003879572100/25613345590696162165292110140311348483404994348943260755449 (pow.f64 z -2))) 3)
(pow.f64 (*.f64 246534845204788139253147594254430968308551244151050897465456804162707889926125573627657100536838389171431967577559624553156419854341615482224460865092793619283814777407144590361000000/16803468179780775216885921295796359872061317221194245805326762852066607351889310309205964427004314445680118554586096926030424169762141806681622926973858003506099309833171783849 (pow.f64 (pow.f64 z -2) 3)) 1/3)
(pow.f64 (*.f64 2504069538682520235663395798110/160041699537014921582740396107 (sqrt.f64 (pow.f64 z -2))) 2)
(pow.f64 (/.f64 (pow.f64 z 2) 6270364254557689706852415151458915283848193496650003879572100/25613345590696162165292110140311348483404994348943260755449) -1)
(log.f64 (pow.f64 (exp.f64 6270364254557689706852415151458915283848193496650003879572100/25613345590696162165292110140311348483404994348943260755449) (pow.f64 z -2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 6270364254557689706852415151458915283848193496650003879572100/25613345590696162165292110140311348483404994348943260755449 (pow.f64 z -2)))))
(cbrt.f64 (*.f64 246534845204788139253147594254430968308551244151050897465456804162707889926125573627657100536838389171431967577559624553156419854341615482224460865092793619283814777407144590361000000/16803468179780775216885921295796359872061317221194245805326762852066607351889310309205964427004314445680118554586096926030424169762141806681622926973858003506099309833171783849 (pow.f64 (pow.f64 z -2) 3)))
(expm1.f64 (log1p.f64 (*.f64 6270364254557689706852415151458915283848193496650003879572100/25613345590696162165292110140311348483404994348943260755449 (pow.f64 z -2))))
(exp.f64 (log.f64 (*.f64 6270364254557689706852415151458915283848193496650003879572100/25613345590696162165292110140311348483404994348943260755449 (pow.f64 z -2))))
(exp.f64 (*.f64 (log.f64 (*.f64 6270364254557689706852415151458915283848193496650003879572100/25613345590696162165292110140311348483404994348943260755449 (pow.f64 z -2))) 1))
(log1p.f64 (expm1.f64 (*.f64 6270364254557689706852415151458915283848193496650003879572100/25613345590696162165292110140311348483404994348943260755449 (pow.f64 z -2))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z))))) 1)
(*.f64 1 (/.f64 1 (+.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z)) -2)) (/.f64 1 (cbrt.f64 (+.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z)))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z)))) (sqrt.f64 (/.f64 1 (+.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z)))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z))) 2) -1) (pow.f64 (cbrt.f64 (+.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z))) -1))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z))) -1) (pow.f64 (sqrt.f64 (+.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z))) -1))
(pow.f64 (+.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z)) -1)
(pow.f64 (/.f64 1 (+.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z))) 1)
(pow.f64 (/.f64 1 (cbrt.f64 (+.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z)))) 3)
(pow.f64 (pow.f64 (/.f64 1 (+.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z))) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 1 (+.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z)))) 2)
(pow.f64 (/.f64 (+.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z)) 1) -1)
(log.f64 (exp.f64 (/.f64 1 (+.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z))))))
(cbrt.f64 (pow.f64 (/.f64 1 (+.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z))) 3))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z)))))
(exp.f64 (neg.f64 (log.f64 (+.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z)))))
(exp.f64 (*.f64 (log.f64 (+.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z))) -1))
(exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z)))) 1))
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z)))))
Outputs
(*.f64 279195317918525/3350343815022304 y)
(+.f64 (*.f64 279195317918525/3350343815022304 y) (*.f64 z (-.f64 (*.f64 307332350656623/2093964884388940 y) (*.f64 1678650474502018223880473708075/11224803678858206361900017468416 y))))
(fma.f64 279195317918525/3350343815022304 y (*.f64 z (*.f64 y -155900051080628738716045985239/56124018394291031809500087342080)))
(fma.f64 279195317918525/3350343815022304 y (*.f64 y (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z)))
(+.f64 (*.f64 279195317918525/3350343815022304 y) (+.f64 (*.f64 z (-.f64 (*.f64 307332350656623/2093964884388940 y) (*.f64 1678650474502018223880473708075/11224803678858206361900017468416 y))) (*.f64 (pow.f64 z 2) (-.f64 (*.f64 692910599291889/33503438150223040 y) (+.f64 (*.f64 272651677654809570312500000/10961722342634967150292985809 y) (*.f64 6012459259764103/3350343815022304 (-.f64 (*.f64 307332350656623/2093964884388940 y) (*.f64 1678650474502018223880473708075/11224803678858206361900017468416 y))))))))
(fma.f64 279195317918525/3350343815022304 y (fma.f64 z (*.f64 y -155900051080628738716045985239/56124018394291031809500087342080) (*.f64 (pow.f64 z 2) (-.f64 (*.f64 y 692910599291889/33503438150223040) (fma.f64 272651677654809570312500000/10961722342634967150292985809 y (*.f64 (*.f64 y -155900051080628738716045985239/56124018394291031809500087342080) 6012459259764103/3350343815022304))))))
(fma.f64 279195317918525/3350343815022304 y (fma.f64 (pow.f64 z 2) (-.f64 (*.f64 y -14702013702633488474276834617/3507751149643189488093755458880) (*.f64 y -937342705717422912365644116959149763360075617/188034757901510979839193143041976607183277752320)) (*.f64 y (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z))))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 z 3) (+.f64 (*.f64 31250000000000/104698244219447 (-.f64 (*.f64 307332350656623/2093964884388940 y) (*.f64 1678650474502018223880473708075/11224803678858206361900017468416 y))) (*.f64 6012459259764103/3350343815022304 (-.f64 (*.f64 692910599291889/33503438150223040 y) (+.f64 (*.f64 272651677654809570312500000/10961722342634967150292985809 y) (*.f64 6012459259764103/3350343815022304 (-.f64 (*.f64 307332350656623/2093964884388940 y) (*.f64 1678650474502018223880473708075/11224803678858206361900017468416 y))))))))) (+.f64 (*.f64 279195317918525/3350343815022304 y) (+.f64 (*.f64 z (-.f64 (*.f64 307332350656623/2093964884388940 y) (*.f64 1678650474502018223880473708075/11224803678858206361900017468416 y))) (*.f64 (pow.f64 z 2) (-.f64 (*.f64 692910599291889/33503438150223040 y) (+.f64 (*.f64 272651677654809570312500000/10961722342634967150292985809 y) (*.f64 6012459259764103/3350343815022304 (-.f64 (*.f64 307332350656623/2093964884388940 y) (*.f64 1678650474502018223880473708075/11224803678858206361900017468416 y)))))))))
(fma.f64 -1 (*.f64 (pow.f64 z 3) (fma.f64 31250000000000/104698244219447 (*.f64 y -155900051080628738716045985239/56124018394291031809500087342080) (*.f64 6012459259764103/3350343815022304 (-.f64 (*.f64 y 692910599291889/33503438150223040) (fma.f64 272651677654809570312500000/10961722342634967150292985809 y (*.f64 (*.f64 y -155900051080628738716045985239/56124018394291031809500087342080) 6012459259764103/3350343815022304)))))) (fma.f64 279195317918525/3350343815022304 y (fma.f64 z (*.f64 y -155900051080628738716045985239/56124018394291031809500087342080) (*.f64 (pow.f64 z 2) (-.f64 (*.f64 y 692910599291889/33503438150223040) (fma.f64 272651677654809570312500000/10961722342634967150292985809 y (*.f64 (*.f64 y -155900051080628738716045985239/56124018394291031809500087342080) 6012459259764103/3350343815022304)))))))
(-.f64 (fma.f64 279195317918525/3350343815022304 y (fma.f64 (pow.f64 z 2) (-.f64 (*.f64 y -14702013702633488474276834617/3507751149643189488093755458880) (*.f64 y -937342705717422912365644116959149763360075617/188034757901510979839193143041976607183277752320)) (*.f64 y (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z)))) (*.f64 (pow.f64 z 3) (fma.f64 6012459259764103/3350343815022304 (-.f64 (*.f64 y -14702013702633488474276834617/3507751149643189488093755458880) (*.f64 y -937342705717422912365644116959149763360075617/188034757901510979839193143041976607183277752320)) (*.f64 y -951538397708915641577429109124755859375/1147673082894964476557575335949564252827623))))
(*.f64 692910599291889/10000000000000000 y)
(*.f64 y 692910599291889/10000000000000000)
(-.f64 (+.f64 (*.f64 692910599291889/10000000000000000 y) (*.f64 307332350656623/625000000000000 (/.f64 y z))) (*.f64 4166096748901211929300981260567/10000000000000000000000000000000 (/.f64 y z)))
(+.f64 (fma.f64 692910599291889/10000000000000000 y (*.f64 307332350656623/625000000000000 (/.f64 y z))) (*.f64 -4166096748901211929300981260567/10000000000000000000000000000000 (/.f64 y z)))
(*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)))
(-.f64 (+.f64 (*.f64 692910599291889/10000000000000000 y) (+.f64 (*.f64 11167812716741/40000000000000 (/.f64 y (pow.f64 z 2))) (*.f64 307332350656623/625000000000000 (/.f64 y z)))) (+.f64 (*.f64 72546523146905574025723165383/312500000000000000000000000000 (/.f64 y (pow.f64 z 2))) (+.f64 (*.f64 4166096748901211929300981260567/10000000000000000000000000000000 (/.f64 y z)) (*.f64 6012459259764103/1000000000000000 (/.f64 (-.f64 (*.f64 307332350656623/625000000000000 y) (*.f64 4166096748901211929300981260567/10000000000000000000000000000000 y)) (pow.f64 z 2))))))
(-.f64 (fma.f64 692910599291889/10000000000000000 y (fma.f64 11167812716741/40000000000000 (/.f64 y (pow.f64 z 2)) (*.f64 307332350656623/625000000000000 (/.f64 y z)))) (fma.f64 72546523146905574025723165383/312500000000000000000000000000 (/.f64 y (pow.f64 z 2)) (fma.f64 4166096748901211929300981260567/10000000000000000000000000000000 (/.f64 y z) (*.f64 6012459259764103/1000000000000000 (/.f64 (*.f64 y 751220861604756070699018739433/10000000000000000000000000000000) (pow.f64 z 2))))))
(-.f64 (fma.f64 y 692910599291889/10000000000000000 (fma.f64 11167812716741/40000000000000 (/.f64 y (pow.f64 z 2)) (/.f64 307332350656623/625000000000000 (/.f64 z y)))) (fma.f64 (/.f64 y (pow.f64 z 2)) 72546523146905574025723165383/312500000000000000000000000000 (fma.f64 (/.f64 y z) 4166096748901211929300981260567/10000000000000000000000000000000 (/.f64 (*.f64 y 4516684825483483349725552750007781576003973599/10000000000000000000000000000000000000000000000) (pow.f64 z 2)))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 104698244219447/31250000000000 (-.f64 (*.f64 307332350656623/625000000000000 y) (*.f64 4166096748901211929300981260567/10000000000000000000000000000000 y))) (*.f64 6012459259764103/1000000000000000 (-.f64 (*.f64 11167812716741/40000000000000 y) (+.f64 (*.f64 72546523146905574025723165383/312500000000000000000000000000 y) (*.f64 6012459259764103/1000000000000000 (-.f64 (*.f64 307332350656623/625000000000000 y) (*.f64 4166096748901211929300981260567/10000000000000000000000000000000 y))))))) (pow.f64 z 3))) (+.f64 (*.f64 692910599291889/10000000000000000 y) (+.f64 (*.f64 11167812716741/40000000000000 (/.f64 y (pow.f64 z 2))) (*.f64 307332350656623/625000000000000 (/.f64 y z))))) (+.f64 (*.f64 72546523146905574025723165383/312500000000000000000000000000 (/.f64 y (pow.f64 z 2))) (+.f64 (*.f64 4166096748901211929300981260567/10000000000000000000000000000000 (/.f64 y z)) (*.f64 6012459259764103/1000000000000000 (/.f64 (-.f64 (*.f64 307332350656623/625000000000000 y) (*.f64 4166096748901211929300981260567/10000000000000000000000000000000 y)) (pow.f64 z 2))))))
(-.f64 (fma.f64 -1 (/.f64 (fma.f64 104698244219447/31250000000000 (*.f64 y 751220861604756070699018739433/10000000000000000000000000000000) (*.f64 6012459259764103/1000000000000000 (-.f64 (*.f64 y 11167812716741/40000000000000) (fma.f64 72546523146905574025723165383/312500000000000000000000000000 y (*.f64 6012459259764103/1000000000000000 (*.f64 y 751220861604756070699018739433/10000000000000000000000000000000)))))) (pow.f64 z 3)) (fma.f64 692910599291889/10000000000000000 y (fma.f64 11167812716741/40000000000000 (/.f64 y (pow.f64 z 2)) (*.f64 307332350656623/625000000000000 (/.f64 y z))))) (fma.f64 72546523146905574025723165383/312500000000000000000000000000 (/.f64 y (pow.f64 z 2)) (fma.f64 4166096748901211929300981260567/10000000000000000000000000000000 (/.f64 y z) (*.f64 6012459259764103/1000000000000000 (/.f64 (*.f64 y 751220861604756070699018739433/10000000000000000000000000000000) (pow.f64 z 2))))))
(-.f64 (-.f64 (fma.f64 y 692910599291889/10000000000000000 (fma.f64 11167812716741/40000000000000 (/.f64 y (pow.f64 z 2)) (/.f64 307332350656623/625000000000000 (/.f64 z y)))) (/.f64 (fma.f64 6012459259764103/1000000000000000 (-.f64 (*.f64 y 14702013702633488474276834617/312500000000000000000000000000) (*.f64 y 4516684825483483349725552750007781576003973599/10000000000000000000000000000000000000000000000)) (*.f64 y 78651505231038147067106019988416220964353551/312500000000000000000000000000000000000000000)) (pow.f64 z 3))) (fma.f64 (/.f64 y (pow.f64 z 2)) 72546523146905574025723165383/312500000000000000000000000000 (fma.f64 (/.f64 y z) 4166096748901211929300981260567/10000000000000000000000000000000 (/.f64 (*.f64 y 4516684825483483349725552750007781576003973599/10000000000000000000000000000000000000000000000) (pow.f64 z 2)))))
(*.f64 692910599291889/10000000000000000 y)
(*.f64 y 692910599291889/10000000000000000)
(+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -307332350656623/625000000000000 y) (*.f64 -4166096748901211929300981260567/10000000000000000000000000000000 y)) z)) (*.f64 692910599291889/10000000000000000 y))
(+.f64 (fma.f64 692910599291889/10000000000000000 y (*.f64 307332350656623/625000000000000 (/.f64 y z))) (*.f64 -4166096748901211929300981260567/10000000000000000000000000000000 (/.f64 y z)))
(*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -307332350656623/625000000000000 y) (*.f64 -4166096748901211929300981260567/10000000000000000000000000000000 y)) z)) (+.f64 (*.f64 692910599291889/10000000000000000 y) (*.f64 11167812716741/40000000000000 (/.f64 y (pow.f64 z 2))))) (+.f64 (*.f64 -6012459259764103/1000000000000000 (/.f64 (-.f64 (*.f64 -307332350656623/625000000000000 y) (*.f64 -4166096748901211929300981260567/10000000000000000000000000000000 y)) (pow.f64 z 2))) (*.f64 72546523146905574025723165383/312500000000000000000000000000 (/.f64 y (pow.f64 z 2)))))
(-.f64 (+.f64 (*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))) (/.f64 (*.f64 y 11167812716741/40000000000000) (pow.f64 z 2))) (fma.f64 -6012459259764103/1000000000000000 (/.f64 (*.f64 y -751220861604756070699018739433/10000000000000000000000000000000) (pow.f64 z 2)) (*.f64 (/.f64 y (pow.f64 z 2)) 72546523146905574025723165383/312500000000000000000000000000)))
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(cbrt.f64 (*.f64 246534845204788139253147594254430968308551244151050897465456804162707889926125573627657100536838389171431967577559624553156419854341615482224460865092793619283814777407144590361000000/16803468179780775216885921295796359872061317221194245805326762852066607351889310309205964427004314445680118554586096926030424169762141806681622926973858003506099309833171783849 (pow.f64 (pow.f64 z -2) 3)))
(pow.f64 (*.f64 2504069538682520235663395798110/160041699537014921582740396107 (sqrt.f64 (pow.f64 z -2))) 2)
(*.f64 6270364254557689706852415151458915283848193496650003879572100/25613345590696162165292110140311348483404994348943260755449 (pow.f64 z -2))
(pow.f64 (/.f64 (pow.f64 z 2) 6270364254557689706852415151458915283848193496650003879572100/25613345590696162165292110140311348483404994348943260755449) -1)
(/.f64 1 (/.f64 (pow.f64 z 2) 6270364254557689706852415151458915283848193496650003879572100/25613345590696162165292110140311348483404994348943260755449))
(*.f64 (/.f64 1 (pow.f64 z 2)) 6270364254557689706852415151458915283848193496650003879572100/25613345590696162165292110140311348483404994348943260755449)
(log.f64 (pow.f64 (exp.f64 6270364254557689706852415151458915283848193496650003879572100/25613345590696162165292110140311348483404994348943260755449) (pow.f64 z -2)))
(*.f64 6270364254557689706852415151458915283848193496650003879572100/25613345590696162165292110140311348483404994348943260755449 (pow.f64 z -2))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 6270364254557689706852415151458915283848193496650003879572100/25613345590696162165292110140311348483404994348943260755449 (pow.f64 z -2)))))
(*.f64 6270364254557689706852415151458915283848193496650003879572100/25613345590696162165292110140311348483404994348943260755449 (pow.f64 z -2))
(cbrt.f64 (*.f64 246534845204788139253147594254430968308551244151050897465456804162707889926125573627657100536838389171431967577559624553156419854341615482224460865092793619283814777407144590361000000/16803468179780775216885921295796359872061317221194245805326762852066607351889310309205964427004314445680118554586096926030424169762141806681622926973858003506099309833171783849 (pow.f64 (pow.f64 z -2) 3)))
(expm1.f64 (log1p.f64 (*.f64 6270364254557689706852415151458915283848193496650003879572100/25613345590696162165292110140311348483404994348943260755449 (pow.f64 z -2))))
(*.f64 6270364254557689706852415151458915283848193496650003879572100/25613345590696162165292110140311348483404994348943260755449 (pow.f64 z -2))
(exp.f64 (log.f64 (*.f64 6270364254557689706852415151458915283848193496650003879572100/25613345590696162165292110140311348483404994348943260755449 (pow.f64 z -2))))
(*.f64 6270364254557689706852415151458915283848193496650003879572100/25613345590696162165292110140311348483404994348943260755449 (pow.f64 z -2))
(exp.f64 (*.f64 (log.f64 (*.f64 6270364254557689706852415151458915283848193496650003879572100/25613345590696162165292110140311348483404994348943260755449 (pow.f64 z -2))) 1))
(*.f64 6270364254557689706852415151458915283848193496650003879572100/25613345590696162165292110140311348483404994348943260755449 (pow.f64 z -2))
(log1p.f64 (expm1.f64 (*.f64 6270364254557689706852415151458915283848193496650003879572100/25613345590696162165292110140311348483404994348943260755449 (pow.f64 z -2))))
(*.f64 6270364254557689706852415151458915283848193496650003879572100/25613345590696162165292110140311348483404994348943260755449 (pow.f64 z -2))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z))))) 1)
(/.f64 1 (+.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z)))
(*.f64 1 (/.f64 1 (+.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z))))
(/.f64 1 (+.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z)) -2)) (/.f64 1 (cbrt.f64 (+.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z)))))
(/.f64 (cbrt.f64 (pow.f64 (+.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z)) -2)) (cbrt.f64 (+.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z)))) (sqrt.f64 (/.f64 1 (+.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z)))))
(/.f64 1 (+.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z))) 2) -1) (pow.f64 (cbrt.f64 (+.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z))) -1))
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z)))) (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z))) 2)))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z))) -1) (pow.f64 (sqrt.f64 (+.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z))) -1))
(pow.f64 (sqrt.f64 (+.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z))) -2)
(pow.f64 (+.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z)) -1)
(/.f64 1 (+.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z)))
(pow.f64 (/.f64 1 (+.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z))) 1)
(/.f64 1 (+.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z)))
(pow.f64 (/.f64 1 (cbrt.f64 (+.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z)))) 3)
(/.f64 1 (+.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z)))
(pow.f64 (pow.f64 (/.f64 1 (+.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z))) 3) 1/3)
(/.f64 1 (+.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z)))
(pow.f64 (sqrt.f64 (/.f64 1 (+.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z)))) 2)
(/.f64 1 (+.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z)))
(pow.f64 (/.f64 (+.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z)) 1) -1)
(/.f64 1 (+.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z)))
(log.f64 (exp.f64 (/.f64 1 (+.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z)))))
(/.f64 1 (+.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z))))))
(/.f64 1 (+.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z)))
(cbrt.f64 (pow.f64 (/.f64 1 (+.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z))) 3))
(/.f64 1 (+.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z)))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z)))))
(/.f64 1 (+.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z)))
(exp.f64 (neg.f64 (log.f64 (+.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z)))))
(/.f64 1 (+.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z)))
(exp.f64 (*.f64 (log.f64 (+.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z))) -1))
(/.f64 1 (+.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z)))
(exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z)))) 1))
(/.f64 1 (+.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z)))
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z)))))
(/.f64 1 (+.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z)))

eval384.0ms (3.7%)

Compiler

Compiled 13718 to 10127 computations (26.2% saved)

prune170.0ms (1.6%)

Pruning

14 alts after pruning (4 fresh and 10 done)

PrunedKeptTotal
New5893592
Fresh011
Picked235
Done178
Total59214606
Accuracy
100.0%
Counts
606 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
23.0%
(-.f64 (*.f64 692910599291889/10000000000000000 y) (*.f64 -751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)))
80.5%
(+.f64 (*.f64 y 279195317918525/3350343815022304) x)
77.9%
(+.f64 (*.f64 y 692910599291889/10000000000000000) x)
76.8%
(+.f64 x (/.f64 (fma.f64 z (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) y)))
69.8%
(+.f64 x (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
77.0%
(+.f64 x (/.f64 y (+.f64 3350343815022304/279195317918525 (*.f64 z 155900051080628738716045985239/389750127738131234692690878125))))
73.0%
(+.f64 x (/.f64 y (*.f64 (-.f64 100000000000000000000000000000000/480125098611044764748221188321 (/.f64 6270364254557689706852415151458915283848193496650003879572100/25613345590696162165292110140311348483404994348943260755449 (pow.f64 z 2))) (-.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)))))
78.0%
(+.f64 x (/.f64 y 10000000000000000/692910599291889))
80.5%
(+.f64 x (/.f64 y 3350343815022304/279195317918525))
64.9%
(+.f64 x (-.f64 (+.f64 (*.f64 692910599291889/10000000000000000 y) (*.f64 307332350656623/625000000000000 (/.f64 y z))) (*.f64 4166096748901211929300981260567/10000000000000000000000000000000 (/.f64 y z))))
39.9%
(*.f64 y (+.f64 (/.f64 -11167812716741/40000000000000 (-.f64 -104698244219447/31250000000000 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)))) (/.f64 (*.f64 z (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z))) (+.f64 104698244219447/31250000000000 (*.f64 z (+.f64 6012459259764103/1000000000000000 z))))))
23.0%
(*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)))
27.6%
(*.f64 y 692910599291889/10000000000000000)
51.1%
x
Compiler

Compiled 503 to 358 computations (28.8% saved)

regimes279.0ms (2.7%)

Counts
23 → 2
Calls
Call 1
Inputs
x
(*.f64 y 692910599291889/10000000000000000)
(+.f64 x (/.f64 y 3350343815022304/279195317918525))
(+.f64 x (/.f64 y 10000000000000000/692910599291889))
(+.f64 (*.f64 y 692910599291889/10000000000000000) x)
(+.f64 (*.f64 y 279195317918525/3350343815022304) x)
(*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)))
(+.f64 x (/.f64 y (+.f64 3350343815022304/279195317918525 (*.f64 z 155900051080628738716045985239/389750127738131234692690878125))))
(+.f64 x (/.f64 y (-.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z))))
(-.f64 (*.f64 692910599291889/10000000000000000 y) (*.f64 -751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)))
(+.f64 x (-.f64 (*.f64 y 692910599291889/10000000000000000) (/.f64 (*.f64 y -751220861604756070699018739433/10000000000000000000000000000000) z)))
(+.f64 x (-.f64 (+.f64 (*.f64 692910599291889/10000000000000000 y) (*.f64 307332350656623/625000000000000 (/.f64 y z))) (*.f64 4166096748901211929300981260567/10000000000000000000000000000000 (/.f64 y z))))
(+.f64 x (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
(*.f64 y (+.f64 (/.f64 -11167812716741/40000000000000 (-.f64 -104698244219447/31250000000000 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)))) (/.f64 (*.f64 z (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z))) (+.f64 104698244219447/31250000000000 (*.f64 z (+.f64 6012459259764103/1000000000000000 z))))))
(*.f64 y (+.f64 (*.f64 11167812716741/40000000000000 (/.f64 1 (+.f64 104698244219447/31250000000000 (*.f64 z (+.f64 6012459259764103/1000000000000000 z))))) (/.f64 (*.f64 z (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z))) (+.f64 104698244219447/31250000000000 (*.f64 z (+.f64 6012459259764103/1000000000000000 z))))))
(+.f64 x (/.f64 y (*.f64 (-.f64 100000000000000000000000000000000/480125098611044764748221188321 (/.f64 6270364254557689706852415151458915283848193496650003879572100/25613345590696162165292110140311348483404994348943260755449 (pow.f64 z 2))) (-.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)))))
(+.f64 x (/.f64 y (*.f64 (-.f64 100000000000000000000000000000000/480125098611044764748221188321 (/.f64 6270364254557689706852415151458915283848193496650003879572100/25613345590696162165292110140311348483404994348943260755449 (pow.f64 z 2))) (/.f64 1 (+.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z))))))
(+.f64 x (/.f64 y (/.f64 (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000) (fma.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z 11167812716741/40000000000000))))
(+.f64 x (/.f64 (fma.f64 z (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) y)))
(+.f64 x (*.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)))
(+.f64 x (/.f64 y (/.f64 (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000) (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000))))
(+.f64 x (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) y)))
(fma.f64 y (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) x)
Outputs
(fma.f64 y (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) x)
(+.f64 x (/.f64 y 10000000000000000/692910599291889))
Calls

5 calls:

86.0ms
z
68.0ms
(/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000))
54.0ms
y
32.0ms
x
31.0ms
(+.f64 x (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
Results
AccuracySegmentsBranch
87.3%3x
89.6%5y
99.9%3z
99.8%2(+.f64 x (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
99.8%2(/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000))
Compiler

Compiled 369 to 258 computations (30.1% saved)

regimes69.0ms (0.7%)

Counts
22 → 2
Calls
Call 1
Inputs
x
(*.f64 y 692910599291889/10000000000000000)
(+.f64 x (/.f64 y 3350343815022304/279195317918525))
(+.f64 x (/.f64 y 10000000000000000/692910599291889))
(+.f64 (*.f64 y 692910599291889/10000000000000000) x)
(+.f64 (*.f64 y 279195317918525/3350343815022304) x)
(*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)))
(+.f64 x (/.f64 y (+.f64 3350343815022304/279195317918525 (*.f64 z 155900051080628738716045985239/389750127738131234692690878125))))
(+.f64 x (/.f64 y (-.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z))))
(-.f64 (*.f64 692910599291889/10000000000000000 y) (*.f64 -751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)))
(+.f64 x (-.f64 (*.f64 y 692910599291889/10000000000000000) (/.f64 (*.f64 y -751220861604756070699018739433/10000000000000000000000000000000) z)))
(+.f64 x (-.f64 (+.f64 (*.f64 692910599291889/10000000000000000 y) (*.f64 307332350656623/625000000000000 (/.f64 y z))) (*.f64 4166096748901211929300981260567/10000000000000000000000000000000 (/.f64 y z))))
(+.f64 x (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
(*.f64 y (+.f64 (/.f64 -11167812716741/40000000000000 (-.f64 -104698244219447/31250000000000 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)))) (/.f64 (*.f64 z (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z))) (+.f64 104698244219447/31250000000000 (*.f64 z (+.f64 6012459259764103/1000000000000000 z))))))
(*.f64 y (+.f64 (*.f64 11167812716741/40000000000000 (/.f64 1 (+.f64 104698244219447/31250000000000 (*.f64 z (+.f64 6012459259764103/1000000000000000 z))))) (/.f64 (*.f64 z (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z))) (+.f64 104698244219447/31250000000000 (*.f64 z (+.f64 6012459259764103/1000000000000000 z))))))
(+.f64 x (/.f64 y (*.f64 (-.f64 100000000000000000000000000000000/480125098611044764748221188321 (/.f64 6270364254557689706852415151458915283848193496650003879572100/25613345590696162165292110140311348483404994348943260755449 (pow.f64 z 2))) (-.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)))))
(+.f64 x (/.f64 y (*.f64 (-.f64 100000000000000000000000000000000/480125098611044764748221188321 (/.f64 6270364254557689706852415151458915283848193496650003879572100/25613345590696162165292110140311348483404994348943260755449 (pow.f64 z 2))) (/.f64 1 (+.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z))))))
(+.f64 x (/.f64 y (/.f64 (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000) (fma.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z 11167812716741/40000000000000))))
(+.f64 x (/.f64 (fma.f64 z (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) y)))
(+.f64 x (*.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)))
(+.f64 x (/.f64 y (/.f64 (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000) (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000))))
(+.f64 x (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) y)))
Outputs
(+.f64 x (/.f64 y (/.f64 (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000) (fma.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z 11167812716741/40000000000000))))
(+.f64 x (/.f64 y 10000000000000000/692910599291889))
Calls

2 calls:

43.0ms
(/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000))
18.0ms
(+.f64 x (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
Results
AccuracySegmentsBranch
99.5%2(+.f64 x (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
99.5%2(/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000))
Compiler

Compiled 340 to 238 computations (30% saved)

regimes120.0ms (1.2%)

Counts
17 → 3
Calls
Call 1
Inputs
x
(*.f64 y 692910599291889/10000000000000000)
(+.f64 x (/.f64 y 3350343815022304/279195317918525))
(+.f64 x (/.f64 y 10000000000000000/692910599291889))
(+.f64 (*.f64 y 692910599291889/10000000000000000) x)
(+.f64 (*.f64 y 279195317918525/3350343815022304) x)
(*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)))
(+.f64 x (/.f64 y (+.f64 3350343815022304/279195317918525 (*.f64 z 155900051080628738716045985239/389750127738131234692690878125))))
(+.f64 x (/.f64 y (-.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z))))
(-.f64 (*.f64 692910599291889/10000000000000000 y) (*.f64 -751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)))
(+.f64 x (-.f64 (*.f64 y 692910599291889/10000000000000000) (/.f64 (*.f64 y -751220861604756070699018739433/10000000000000000000000000000000) z)))
(+.f64 x (-.f64 (+.f64 (*.f64 692910599291889/10000000000000000 y) (*.f64 307332350656623/625000000000000 (/.f64 y z))) (*.f64 4166096748901211929300981260567/10000000000000000000000000000000 (/.f64 y z))))
(+.f64 x (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
(*.f64 y (+.f64 (/.f64 -11167812716741/40000000000000 (-.f64 -104698244219447/31250000000000 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)))) (/.f64 (*.f64 z (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z))) (+.f64 104698244219447/31250000000000 (*.f64 z (+.f64 6012459259764103/1000000000000000 z))))))
(*.f64 y (+.f64 (*.f64 11167812716741/40000000000000 (/.f64 1 (+.f64 104698244219447/31250000000000 (*.f64 z (+.f64 6012459259764103/1000000000000000 z))))) (/.f64 (*.f64 z (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z))) (+.f64 104698244219447/31250000000000 (*.f64 z (+.f64 6012459259764103/1000000000000000 z))))))
(+.f64 x (/.f64 y (*.f64 (-.f64 100000000000000000000000000000000/480125098611044764748221188321 (/.f64 6270364254557689706852415151458915283848193496650003879572100/25613345590696162165292110140311348483404994348943260755449 (pow.f64 z 2))) (-.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)))))
(+.f64 x (/.f64 y (*.f64 (-.f64 100000000000000000000000000000000/480125098611044764748221188321 (/.f64 6270364254557689706852415151458915283848193496650003879572100/25613345590696162165292110140311348483404994348943260755449 (pow.f64 z 2))) (/.f64 1 (+.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z))))))
Outputs
(+.f64 x (/.f64 y (-.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z))))
(+.f64 x (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
(+.f64 x (/.f64 y 10000000000000000/692910599291889))
Calls

3 calls:

68.0ms
(/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000))
24.0ms
z
22.0ms
(+.f64 x (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
Results
AccuracySegmentsBranch
99.6%3z
99.5%3(+.f64 x (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
99.5%3(/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000))
Compiler

Compiled 252 to 179 computations (29% saved)

regimes22.0ms (0.2%)

Counts
12 → 3
Calls
Call 1
Inputs
x
(*.f64 y 692910599291889/10000000000000000)
(+.f64 x (/.f64 y 3350343815022304/279195317918525))
(+.f64 x (/.f64 y 10000000000000000/692910599291889))
(+.f64 (*.f64 y 692910599291889/10000000000000000) x)
(+.f64 (*.f64 y 279195317918525/3350343815022304) x)
(*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)))
(+.f64 x (/.f64 y (+.f64 3350343815022304/279195317918525 (*.f64 z 155900051080628738716045985239/389750127738131234692690878125))))
(+.f64 x (/.f64 y (-.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z))))
(-.f64 (*.f64 692910599291889/10000000000000000 y) (*.f64 -751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)))
(+.f64 x (-.f64 (*.f64 y 692910599291889/10000000000000000) (/.f64 (*.f64 y -751220861604756070699018739433/10000000000000000000000000000000) z)))
(+.f64 x (-.f64 (+.f64 (*.f64 692910599291889/10000000000000000 y) (*.f64 307332350656623/625000000000000 (/.f64 y z))) (*.f64 4166096748901211929300981260567/10000000000000000000000000000000 (/.f64 y z))))
Outputs
(+.f64 x (/.f64 y (-.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z))))
(+.f64 x (/.f64 y (+.f64 3350343815022304/279195317918525 (*.f64 z 155900051080628738716045985239/389750127738131234692690878125))))
(+.f64 x (/.f64 y (-.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z))))
Calls

1 calls:

19.0ms
z
Results
AccuracySegmentsBranch
99.1%3z
Compiler

Compiled 93 to 59 computations (36.6% saved)

regimes17.0ms (0.2%)

Counts
8 → 3
Calls
Call 1
Inputs
x
(*.f64 y 692910599291889/10000000000000000)
(+.f64 x (/.f64 y 3350343815022304/279195317918525))
(+.f64 x (/.f64 y 10000000000000000/692910599291889))
(+.f64 (*.f64 y 692910599291889/10000000000000000) x)
(+.f64 (*.f64 y 279195317918525/3350343815022304) x)
(*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)))
(+.f64 x (/.f64 y (+.f64 3350343815022304/279195317918525 (*.f64 z 155900051080628738716045985239/389750127738131234692690878125))))
Outputs
(+.f64 x (/.f64 y 10000000000000000/692910599291889))
(+.f64 x (/.f64 y (+.f64 3350343815022304/279195317918525 (*.f64 z 155900051080628738716045985239/389750127738131234692690878125))))
(+.f64 x (/.f64 y 10000000000000000/692910599291889))
Calls

1 calls:

15.0ms
z
Results
AccuracySegmentsBranch
98.8%3z
Compiler

Compiled 47 to 31 computations (34% saved)

regimes15.0ms (0.1%)

Counts
7 → 3
Calls
Call 1
Inputs
x
(*.f64 y 692910599291889/10000000000000000)
(+.f64 x (/.f64 y 3350343815022304/279195317918525))
(+.f64 x (/.f64 y 10000000000000000/692910599291889))
(+.f64 (*.f64 y 692910599291889/10000000000000000) x)
(+.f64 (*.f64 y 279195317918525/3350343815022304) x)
(*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)))
Outputs
(+.f64 x (/.f64 y 10000000000000000/692910599291889))
(+.f64 x (/.f64 y 3350343815022304/279195317918525))
(+.f64 x (/.f64 y 10000000000000000/692910599291889))
Calls

1 calls:

14.0ms
z
Results
AccuracySegmentsBranch
98.4%3z
Compiler

Compiled 38 to 25 computations (34.2% saved)

regimes30.0ms (0.3%)

Counts
3 → 1
Calls
Call 1
Inputs
x
(*.f64 y 692910599291889/10000000000000000)
(+.f64 x (/.f64 y 3350343815022304/279195317918525))
Outputs
(+.f64 x (/.f64 y 3350343815022304/279195317918525))
Calls

3 calls:

15.0ms
x
10.0ms
z
4.0ms
y
Results
AccuracySegmentsBranch
80.5%1y
84.0%5x
82.6%3z
Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes34.0ms (0.3%)

Counts
2 → 3
Calls
Call 1
Inputs
x
(*.f64 y 692910599291889/10000000000000000)
Outputs
x
(*.f64 y 692910599291889/10000000000000000)
x
Calls

3 calls:

14.0ms
z
11.0ms
x
9.0ms
y
Results
AccuracySegmentsBranch
63.0%3x
56.2%5z
59.0%3y
Compiler

Compiled 19 to 14 computations (26.3% saved)

regimes7.0ms (0.1%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
x
Outputs
x
Calls

2 calls:

4.0ms
y
3.0ms
x
Results
AccuracySegmentsBranch
51.1%1y
51.1%1x
Compiler

Compiled 12 to 9 computations (25% saved)

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
+inf
NaN
Compiler

Compiled 30 to 23 computations (23.3% saved)

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
+inf
NaN
Compiler

Compiled 30 to 23 computations (23.3% saved)

bsearch38.0ms (0.4%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
22.0ms
12119.836788701385
4137466389026877000.0
16.0ms
-12313.989120106708
-243.7283457070022
Results
33.0ms272×body256valid
Compiler

Compiled 636 to 486 computations (23.6% saved)

bsearch57.0ms (0.6%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
18.0ms
0.22828789964118412
12119.836788701385
40.0ms
-12313.989120106708
-243.7283457070022
Results
30.0ms240×body256valid
Compiler

Compiled 420 to 323 computations (23.1% saved)

bsearch35.0ms (0.3%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
18.0ms
0.22828789964118412
12119.836788701385
17.0ms
-12313.989120106708
-243.7283457070022
Results
32.0ms240×body256valid
Compiler

Compiled 360 to 278 computations (22.8% saved)

bsearch39.0ms (0.4%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
24.0ms
0.22828789964118412
12119.836788701385
15.0ms
-12313.989120106708
-243.7283457070022
Results
36.0ms240×body256valid
Compiler

Compiled 300 to 233 computations (22.3% saved)

bsearch38.0ms (0.4%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
20.0ms
5.825626596456977e-138
3.877877108274105e-131
18.0ms
-1.2704918006675989e-84
-8.01900003369473e-89
Results
35.0ms272×body256valid
Compiler

Compiled 234 to 193 computations (17.5% saved)

simplify66.0ms (0.6%)

Algorithm
egg-herbie
Rules
28×+-commutative
16×*-commutative
if-if-or-not
sub-neg
neg-mul-1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
083801
1115801
2122801
3126801
4129801
5130801
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(if (<=.f64 (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)) +inf.0) (fma.f64 y (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) x) (+.f64 x (/.f64 y 10000000000000000/692910599291889)))
(if (<=.f64 (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)) +inf.0) (+.f64 x (/.f64 y (/.f64 (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000) (fma.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z 11167812716741/40000000000000)))) (+.f64 x (/.f64 y 10000000000000000/692910599291889)))
(if (<=.f64 z -12000) (+.f64 x (/.f64 y (-.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z)))) (if (<=.f64 z 400000000000000) (+.f64 x (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000))) (+.f64 x (/.f64 y 10000000000000000/692910599291889))))
(if (<=.f64 z -245) (+.f64 x (/.f64 y (-.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z)))) (if (<=.f64 z 13/2) (+.f64 x (/.f64 y (+.f64 3350343815022304/279195317918525 (*.f64 z 155900051080628738716045985239/389750127738131234692690878125)))) (+.f64 x (/.f64 y (-.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z))))))
(if (<=.f64 z -245) (+.f64 x (/.f64 y 10000000000000000/692910599291889)) (if (<=.f64 z 6) (+.f64 x (/.f64 y (+.f64 3350343815022304/279195317918525 (*.f64 z 155900051080628738716045985239/389750127738131234692690878125)))) (+.f64 x (/.f64 y 10000000000000000/692910599291889))))
(if (<=.f64 z -245) (+.f64 x (/.f64 y 10000000000000000/692910599291889)) (if (<=.f64 z 6) (+.f64 x (/.f64 y 3350343815022304/279195317918525)) (+.f64 x (/.f64 y 10000000000000000/692910599291889))))
(+.f64 x (/.f64 y 3350343815022304/279195317918525))
(if (<=.f64 x -2029768672598635/34996011596528190789960035633881941845650710894291398982812329702559247987190014771576210832368861184) x (if (<=.f64 x 6792924845487599/199791907220223502808422222706762643567910281130558153654986045416023791284464999687699590596063486154228923591770023865308670443474450259602571264) (*.f64 y 692910599291889/10000000000000000) x))
x
Outputs
(if (<=.f64 (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)) +inf.0) (fma.f64 y (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) x) (+.f64 x (/.f64 y 10000000000000000/692910599291889)))
(if (<=.f64 (/.f64 (*.f64 y (+.f64 (*.f64 z (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000)) (+.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)) 104698244219447/31250000000000)) +inf.0) (fma.f64 y (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) x) (+.f64 x (/.f64 y 10000000000000000/692910599291889)))
(if (<=.f64 (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)) +inf.0) (+.f64 x (/.f64 y (/.f64 (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000) (fma.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z 11167812716741/40000000000000)))) (+.f64 x (/.f64 y 10000000000000000/692910599291889)))
(if (<=.f64 (/.f64 (*.f64 y (+.f64 (*.f64 z (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000)) (+.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)) 104698244219447/31250000000000)) +inf.0) (+.f64 x (/.f64 y (/.f64 (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000) (fma.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z 11167812716741/40000000000000)))) (+.f64 x (/.f64 y 10000000000000000/692910599291889)))
(if (<=.f64 z -12000) (+.f64 x (/.f64 y (-.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z)))) (if (<=.f64 z 400000000000000) (+.f64 x (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000))) (+.f64 x (/.f64 y 10000000000000000/692910599291889))))
(if (<=.f64 z -12000) (+.f64 x (/.f64 y (-.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z)))) (if (<=.f64 z 400000000000000) (+.f64 (/.f64 (*.f64 y (+.f64 (*.f64 z (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000)) (+.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)) 104698244219447/31250000000000)) x) (+.f64 x (/.f64 y 10000000000000000/692910599291889))))
(if (<=.f64 z -245) (+.f64 x (/.f64 y (-.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z)))) (if (<=.f64 z 13/2) (+.f64 x (/.f64 y (+.f64 3350343815022304/279195317918525 (*.f64 z 155900051080628738716045985239/389750127738131234692690878125)))) (+.f64 x (/.f64 y (-.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z))))))
(if (or (<=.f64 z -245) (not (<=.f64 z 13/2))) (+.f64 x (/.f64 y (-.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z)))) (+.f64 x (/.f64 y (+.f64 3350343815022304/279195317918525 (*.f64 z 155900051080628738716045985239/389750127738131234692690878125)))))
(if (<=.f64 z -245) (+.f64 x (/.f64 y 10000000000000000/692910599291889)) (if (<=.f64 z 6) (+.f64 x (/.f64 y (+.f64 3350343815022304/279195317918525 (*.f64 z 155900051080628738716045985239/389750127738131234692690878125)))) (+.f64 x (/.f64 y 10000000000000000/692910599291889))))
(if (or (<=.f64 z -245) (not (<=.f64 z 6))) (+.f64 x (/.f64 y 10000000000000000/692910599291889)) (+.f64 x (/.f64 y (+.f64 3350343815022304/279195317918525 (*.f64 z 155900051080628738716045985239/389750127738131234692690878125)))))
(if (<=.f64 z -245) (+.f64 x (/.f64 y 10000000000000000/692910599291889)) (if (<=.f64 z 6) (+.f64 x (/.f64 y 3350343815022304/279195317918525)) (+.f64 x (/.f64 y 10000000000000000/692910599291889))))
(if (or (<=.f64 z -245) (not (<=.f64 z 6))) (+.f64 x (/.f64 y 10000000000000000/692910599291889)) (+.f64 x (/.f64 y 3350343815022304/279195317918525)))
(+.f64 x (/.f64 y 3350343815022304/279195317918525))
(if (<=.f64 x -2029768672598635/34996011596528190789960035633881941845650710894291398982812329702559247987190014771576210832368861184) x (if (<=.f64 x 6792924845487599/199791907220223502808422222706762643567910281130558153654986045416023791284464999687699590596063486154228923591770023865308670443474450259602571264) (*.f64 y 692910599291889/10000000000000000) x))
x
Compiler

Compiled 248 to 180 computations (27.4% saved)

soundness2.4s (22.9%)

Rules
1650×unsub-neg
1650×unsub-neg
1650×unsub-neg
1396×fma-def
1396×fma-def
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
068789
1191765
2492729
31733713
46133713
068789
1191765
2492729
31733713
46133713
068789
1191765
2492729
31733713
46133713
0104044479
1273243795
0104621032
1268420030
0104044479
1273243795
0104044479
1273243795
035531
1574531
26349531
Stop Event
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
Compiler

Compiled 772 to 534 computations (30.8% saved)

end0.0ms (0%)

preprocess204.0ms (2%)

Compiler

Compiled 632 to 442 computations (30.1% saved)

Profiling

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