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

Time bar (total: 13.0s)

analyze137.0ms (1.1%)

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)

sample1.5s (11.5%)

Results
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Bogosity

preprocess362.0ms (2.8%)

Algorithm
egg-herbie
Rules
1620×unsub-neg
1238×fma-define
960×fma-neg
924×distribute-lft-in
900×associate-*l*
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
820-0-(/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000))
190-0-(*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000))
00-0-x
00-0-(*.f64 z 692910599291889/10000000000000000)
00-0-11167812716741/40000000000000
00-0-(+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000)
00-0-(+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)
00-0-z
00-0-(*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z)
00-0-104698244219447/31250000000000
00-0-(*.f64 (+.f64 z 6012459259764103/1000000000000000) z)
00-0-692910599291889/10000000000000000
00-0-y
00-0-(+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)
00-0-(+.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)))
00-0-6012459259764103/1000000000000000
00-0-(+.f64 z 6012459259764103/1000000000000000)
00-0-307332350656623/625000000000000
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
068789
1191737
2497729
31719713
45642713
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 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000) (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000))))
(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 (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 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 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000) (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000))))
(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 (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 (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 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000) (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000))) (neg.f64 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)
(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)) (neg.f64 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 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000) (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000))))
(-.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))))
(-.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 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)))
(fma.f64 y (/.f64 (fma.f64 (neg.f64 z) (-.f64 307332350656623/625000000000000 (*.f64 z 692910599291889/10000000000000000)) 11167812716741/40000000000000) (-.f64 104698244219447/31250000000000 (*.f64 z (-.f64 6012459259764103/1000000000000000 z)))) x)
(fma.f64 y (/.f64 (fma.f64 (neg.f64 (fma.f64 z -692910599291889/10000000000000000 307332350656623/625000000000000)) z 11167812716741/40000000000000) (-.f64 104698244219447/31250000000000 (*.f64 z (-.f64 6012459259764103/1000000000000000 z)))) 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 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000) (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000))))
(-.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))))
(-.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))))
(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 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000) (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000))) (neg.f64 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)
(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)) (neg.f64 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))))
(neg.f64 (fma.f64 y (/.f64 (fma.f64 (neg.f64 z) (-.f64 307332350656623/625000000000000 (*.f64 z 692910599291889/10000000000000000)) 11167812716741/40000000000000) (-.f64 104698244219447/31250000000000 (*.f64 z (-.f64 6012459259764103/1000000000000000 z)))) x))
(neg.f64 (fma.f64 y (/.f64 (fma.f64 (neg.f64 (fma.f64 z -692910599291889/10000000000000000 307332350656623/625000000000000)) z 11167812716741/40000000000000) (-.f64 104698244219447/31250000000000 (*.f64 z (-.f64 6012459259764103/1000000000000000 z)))) x))
(-.f64 (*.f64 y (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 -307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (-.f64 6012459259764103/1000000000000000 z) -104698244219447/31250000000000))) x)
(+.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 y (*.f64 x (/.f64 (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000) (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000))))
(fma.f64 x (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) 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)))
(fma.f64 y (/.f64 (fma.f64 x (fma.f64 x 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (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)))
(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 228 to 166 computations (27.2% saved)

eval2.0ms (0%)

Compiler

Compiled 55 to 37 computations (32.7% saved)

prune2.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
73.1%
(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)
68.0%
(+.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)))
73.6%
(+.f64 x (*.f64 y (/.f64 (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000) (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000))))
Compiler

Compiled 65 to 47 computations (27.7% saved)

localize434.0ms (3.3%)

Localize:

Found 12 expressions with local error:

NewAccuracyProgram
99.9%
(fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)
99.6%
(fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)
93.4%
(/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))
74.0%
(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)
99.7%
(*.f64 (+.f64 z 6012459259764103/1000000000000000) z)
99.2%
(*.f64 z 692910599291889/10000000000000000)
92.6%
(*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000))
69.2%
(/.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)
99.6%
(fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)
99.4%
(*.f64 y (/.f64 (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000) (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000)))
74.5%
(/.f64 (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000) (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000))
Compiler

Compiled 231 to 161 computations (30.3% saved)

series59.0ms (0.5%)

Counts
12 → 216
Calls

54 calls:

TimeVariablePointExpression
3.0ms
y
@0
(*.f64 y (/.f64 (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000) (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000)))
3.0ms
y
@0
(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)
2.0ms
z
@-inf
(/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))
2.0ms
z
@0
(/.f64 (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000) (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000))
2.0ms
y
@inf
(*.f64 y (/.f64 (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000) (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000)))

rewrite387.0ms (3%)

Algorithm
batch-egg-rewrite
Rules
1328×log1p-expm1-u
312×associate-*r*
236×associate-*l*
182×expm1-log1p-u
178×add-cube-cbrt
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
033389
1512389
25817389
Stop Event
node limit
Counts
12 → 385
Calls
Call 1
Inputs
(/.f64 (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000) (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000))
(*.f64 y (/.f64 (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000) (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000)))
(fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)
(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)
(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)
(/.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)
Outputs
(-.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))) 1)
(*.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 1 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))
(*.f64 1 (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))
(*.f64 (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) 1)
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)) 2) (/.f64 (cbrt.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)) 2) (*.f64 (cbrt.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)) (/.f64 1 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))))
(*.f64 (cbrt.f64 (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) (pow.f64 (cbrt.f64 (/.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 (cbrt.f64 (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) 2) (cbrt.f64 (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))))
(*.f64 (sqrt.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)) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))
(*.f64 (sqrt.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)) (/.f64 1 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))))
(*.f64 (sqrt.f64 (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) (sqrt.f64 (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))))
(*.f64 (neg.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)) (/.f64 1 (neg.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))))
(*.f64 (/.f64 1 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) 2)) (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (cbrt.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))))
(*.f64 (/.f64 1 (sqrt.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (sqrt.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)) 2) 1) (/.f64 (cbrt.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)) 2) (pow.f64 (cbrt.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) 2)) (cbrt.f64 (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)) 2) (sqrt.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) (/.f64 (cbrt.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)) (sqrt.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)) 1) (/.f64 (sqrt.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)) (pow.f64 (cbrt.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) 2)) (/.f64 (sqrt.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)) (cbrt.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))))
(*.f64 (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (+.f64 (pow.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)) 3) 1147673082894964476557575335949564252827623/30517578125000000000000000000000000000000)) (+.f64 (pow.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)) 2) (-.f64 10961722342634967150292985809/976562500000000000000000000 (*.f64 z (*.f64 (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))))
(*.f64 (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (+.f64 (pow.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)) 2) -10961722342634967150292985809/976562500000000000000000000)) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) -104698244219447/31250000000000))
(pow.f64 (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) 1)
(pow.f64 (cbrt.f64 (/.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 (pow.f64 (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.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 (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)) -1)
(neg.f64 (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (neg.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))
(sqrt.f64 (pow.f64 (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) 2))
(log.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))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))))
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) 3))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) 3) (pow.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) 3)))
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))))
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))))
(exp.f64 (log.f64 (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))))
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) 1))
(-.f64 (exp.f64 (log1p.f64 (/.f64 y (/.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 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) y))
(/.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 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) y) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))
(/.f64 1 (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) (*.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) y)))
(/.f64 1 (/.f64 (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) (*.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) y)) 1))
(/.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)))
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(*.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 z (*.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 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 z (*.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 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 z (*.f64 (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 124720040876201995101661081/1600000000000000000000000000 (-.f64 (pow.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 2) (*.f64 z (*.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 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))
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(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)
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(log1p.f64 (expm1.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))

simplify316.0ms (2.4%)

Algorithm
egg-herbie
Rules
826×fma-define
600×associate-/l*
560×times-frac
476×associate-*r/
430×distribute-rgt-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
087428687
1228728044
Stop Event
node limit
Counts
601 → 526
Calls
Call 1
Inputs
279195317918525/3350343815022304
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692910599291889/10000000000000000
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692910599291889/10000000000000000
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307332350656623/625000000000000
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11167812716741/40000000000000
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(*.f64 (+.f64 (*.f64 (pow.f64 z 3) 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000) 29028515918677826297037119458939297513676367/244140625000000000000000000000000000000000000) (/.f64 1 (-.f64 (+.f64 (*.f64 (pow.f64 z 2) 480125098611044764748221188321/100000000000000000000000000000000) 94453173760125479739253764129/390625000000000000000000000000) (*.f64 z 212953843275265618747988030847/6250000000000000000000000000000))))
(*.f64 (+.f64 (*.f64 (pow.f64 z 2) 480125098611044764748221188321/100000000000000000000000000000000) -94453173760125479739253764129/390625000000000000000000000000) (/.f64 1 (fma.f64 z 692910599291889/10000000000000000 -307332350656623/625000000000000)))
(/.f64 1 (/.f64 (-.f64 (+.f64 (*.f64 (pow.f64 z 2) 480125098611044764748221188321/100000000000000000000000000000000) 94453173760125479739253764129/390625000000000000000000000000) (*.f64 z 212953843275265618747988030847/6250000000000000000000000000000)) (+.f64 (*.f64 (pow.f64 z 3) 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000) 29028515918677826297037119458939297513676367/244140625000000000000000000000000000000000000)))
(/.f64 1 (/.f64 (fma.f64 z 692910599291889/10000000000000000 -307332350656623/625000000000000) (+.f64 (*.f64 (pow.f64 z 2) 480125098611044764748221188321/100000000000000000000000000000000) -94453173760125479739253764129/390625000000000000000000000000)))
(/.f64 (+.f64 (*.f64 (pow.f64 z 3) 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000) 29028515918677826297037119458939297513676367/244140625000000000000000000000000000000000000) (-.f64 (+.f64 (*.f64 (pow.f64 z 2) 480125098611044764748221188321/100000000000000000000000000000000) 94453173760125479739253764129/390625000000000000000000000000) (*.f64 z 212953843275265618747988030847/6250000000000000000000000000000)))
(/.f64 (+.f64 (*.f64 (pow.f64 z 3) 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000) 29028515918677826297037119458939297513676367/244140625000000000000000000000000000000000000) (+.f64 94453173760125479739253764129/390625000000000000000000000000 (-.f64 (*.f64 (pow.f64 z 2) 480125098611044764748221188321/100000000000000000000000000000000) (*.f64 z 212953843275265618747988030847/6250000000000000000000000000000))))
(/.f64 (+.f64 (*.f64 (pow.f64 z 2) 480125098611044764748221188321/100000000000000000000000000000000) -94453173760125479739253764129/390625000000000000000000000000) (fma.f64 z 692910599291889/10000000000000000 -307332350656623/625000000000000))
(/.f64 (neg.f64 (+.f64 (*.f64 (pow.f64 z 3) 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000) 29028515918677826297037119458939297513676367/244140625000000000000000000000000000000000000)) (neg.f64 (-.f64 (+.f64 (*.f64 (pow.f64 z 2) 480125098611044764748221188321/100000000000000000000000000000000) 94453173760125479739253764129/390625000000000000000000000000) (*.f64 z 212953843275265618747988030847/6250000000000000000000000000000))))
(/.f64 (neg.f64 (+.f64 (*.f64 (pow.f64 z 2) 480125098611044764748221188321/100000000000000000000000000000000) -94453173760125479739253764129/390625000000000000000000000000)) (neg.f64 (fma.f64 z 692910599291889/10000000000000000 -307332350656623/625000000000000)))
(/.f64 (-.f64 94453173760125479739253764129/390625000000000000000000000000 (*.f64 (pow.f64 z 2) 480125098611044764748221188321/100000000000000000000000000000000)) (-.f64 307332350656623/625000000000000 (*.f64 z 692910599291889/10000000000000000)))
(pow.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 1)
(pow.f64 (cbrt.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 3)
(pow.f64 (pow.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 2)
(sqrt.f64 (pow.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 2))
(log.f64 (exp.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000))))
(cbrt.f64 (pow.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 3))
(expm1.f64 (log1p.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)))
(log1p.f64 (expm1.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)))
(exp.f64 (log.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)))
(exp.f64 (*.f64 (log.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 1))
(+.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)) (pow.f64 (cbrt.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)) 2))
(*.f64 (pow.f64 (cbrt.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 z (*.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 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 z (*.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 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 z (*.f64 (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 124720040876201995101661081/1600000000000000000000000000 (-.f64 (pow.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 2) (*.f64 z (*.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 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 z (*.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 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)))
(log1p.f64 (expm1.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))
Outputs
279195317918525/3350343815022304
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(fma.f64 -155900051080628738716045985239/56124018394291031809500087342080 z 279195317918525/3350343815022304)
(+.f64 279195317918525/3350343815022304 (+.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z) (*.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 (pow.f64 z 2))))
(+.f64 279195317918525/3350343815022304 (fma.f64 -155900051080628738716045985239/56124018394291031809500087342080 z (*.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 (pow.f64 z 2))))
(+.f64 (fma.f64 -155900051080628738716045985239/56124018394291031809500087342080 z 279195317918525/3350343815022304) (*.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 (pow.f64 z 2)))
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692910599291889/10000000000000000
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692910599291889/10000000000000000
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(/.f64 (*.f64 y (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 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)) (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))))
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(+.f64 11167812716741/40000000000000 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)))
(fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)
(+.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 11167812716741/40000000000000)
(fma.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)
(expm1.f64 (log1p.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)) 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 (/.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)
(fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)
(*.f64 1 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000))
(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)) (pow.f64 (cbrt.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)) 2))
(fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)
(*.f64 (pow.f64 (cbrt.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)))
(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)))
(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 z (*.f64 (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 (pow.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 2) (-.f64 124720040876201995101661081/1600000000000000000000000000 (*.f64 z (*.f64 11167812716741/40000000000000 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000))))))
(/.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 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) -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 (+.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 1 (/.f64 (+.f64 (pow.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 2) (-.f64 124720040876201995101661081/1600000000000000000000000000 (*.f64 z (*.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)))) (+.f64 (pow.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 3) 1392850058529705972970166011484436857021/64000000000000000000000000000000000000000)))
(/.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 z (*.f64 11167812716741/40000000000000 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000))))))
(/.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 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) -11167812716741/40000000000000))))
(/.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)) 2) -124720040876201995101661081/1600000000000000000000000000) (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 (pow.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 2) (-.f64 124720040876201995101661081/1600000000000000000000000000 (*.f64 z (*.f64 (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 (pow.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 2) (-.f64 124720040876201995101661081/1600000000000000000000000000 (*.f64 z (*.f64 11167812716741/40000000000000 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000))))))
(/.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 (*.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 124720040876201995101661081/1600000000000000000000000000 (-.f64 (pow.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 2) (*.f64 z (*.f64 (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 124720040876201995101661081/1600000000000000000000000000 (-.f64 (pow.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 2) (*.f64 z (*.f64 11167812716741/40000000000000 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000))))))
(/.f64 (+.f64 (pow.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 3) 1392850058529705972970166011484436857021/64000000000000000000000000000000000000000) (+.f64 124720040876201995101661081/1600000000000000000000000000 (*.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) (-.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 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 z (*.f64 (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 (pow.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 2) (-.f64 124720040876201995101661081/1600000000000000000000000000 (*.f64 z (*.f64 11167812716741/40000000000000 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000))))))
(/.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 (*.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)) 2) -124720040876201995101661081/1600000000000000000000000000)) (neg.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)) 2) -124720040876201995101661081/1600000000000000000000000000) (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)
(fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)
(pow.f64 (cbrt.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)) 3)
(fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)
(pow.f64 (pow.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) 3) 1/3)
(fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)
(pow.f64 (sqrt.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)) 2)
(fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)
(sqrt.f64 (pow.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) 2))
(fabs.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000))
(log.f64 (exp.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)
(log.f64 (+.f64 1 (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)
(cbrt.f64 (pow.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) 3))
(fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)
(expm1.f64 (log1p.f64 (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)
(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)

eval339.0ms (2.6%)

Compiler

Compiled 15245 to 10887 computations (28.6% saved)

prune129.0ms (1%)

Pruning

26 alts after pruning (25 fresh and 1 done)

PrunedKeptTotal
New54925574
Fresh000
Picked213
Done000
Total55126577
Accuracy
99.9%
Counts
577 → 26
Alt Table
Click to see full alt table
StatusAccuracyProgram
73.2%
(fma.f64 (fma.f64 z (/.f64 (-.f64 94453173760125479739253764129/390625000000000000000000000000 (*.f64 (pow.f64 z 2) 480125098611044764748221188321/100000000000000000000000000000000)) (-.f64 307332350656623/625000000000000 (*.f64 z 692910599291889/10000000000000000))) 11167812716741/40000000000000) (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) x)
71.4%
(fma.f64 (fma.f64 z (*.f64 z 692910599291889/10000000000000000) 11167812716741/40000000000000) (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) x)
75.5%
(fma.f64 (fma.f64 z 307332350656623/625000000000000 11167812716741/40000000000000) (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) x)
79.9%
(fma.f64 279195317918525/3350343815022304 y x)
61.9%
(-.f64 (+.f64 x (+.f64 (*.f64 692910599291889/10000000000000000 y) (*.f64 307332350656623/625000000000000 (/.f64 y z)))) (*.f64 4166096748901211929300981260567/10000000000000000000000000000000 (/.f64 y z)))
73.4%
(+.f64 (/.f64 y (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000))) x)
79.9%
(+.f64 (*.f64 279195317918525/3350343815022304 y) x)
76.7%
(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
73.1%
(+.f64 x (pow.f64 (cbrt.f64 (/.f64 y (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)))) 3))
73.1%
(+.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)))
35.5%
(+.f64 x (/.f64 (pow.f64 (sqrt.f64 (*.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) y)) 2) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
67.6%
(+.f64 x (/.f64 (pow.f64 (cbrt.f64 (*.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) y)) 3) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
47.0%
(+.f64 x (/.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 2) (*.f64 (*.f64 z y) (*.f64 z y))) (*.f64 124720040876201995101661081/1600000000000000000000000000 (*.f64 y y))) (+.f64 (*.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) (*.f64 z y)) (*.f64 -11167812716741/40000000000000 y))) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
61.7%
(+.f64 x (/.f64 (/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 2) -124720040876201995101661081/1600000000000000000000000000) y) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) -11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
74.7%
(+.f64 x (/.f64 (+.f64 (*.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) (*.f64 z y)) (*.f64 11167812716741/40000000000000 y)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
68.0%
(+.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)))
62.8%
(+.f64 x (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (sqrt.f64 (*.f64 (pow.f64 z 2) 480125098611044764748221188321/100000000000000000000000000000000)) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
65.8%
(+.f64 x (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (cbrt.f64 (*.f64 (pow.f64 z 3) 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000)) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
75.5%
(+.f64 x (/.f64 (*.f64 y 11167812716741/40000000000000) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
68.0%
(+.f64 x (/.f64 1 (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) (*.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) y))))
62.2%
(+.f64 x (-.f64 (*.f64 692910599291889/10000000000000000 y) (*.f64 y (/.f64 -751220861604756070699018739433/10000000000000000000000000000000 z))))
73.6%
(+.f64 x (*.f64 y (/.f64 (+.f64 11167812716741/40000000000000 (+.f64 (*.f64 692910599291889/10000000000000000 (pow.f64 z 2)) (*.f64 307332350656623/625000000000000 z))) (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000))))
67.9%
(+.f64 x (*.f64 y (+.f64 279195317918525/3350343815022304 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z))))
62.2%
(+.f64 x (*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))))
39.6%
(*.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))))))
48.9%
x
Compiler

Compiled 1064 to 782 computations (26.5% saved)

localize545.0ms (4.2%)

Localize:

Found 13 expressions with local error:

NewAccuracyProgram
98.0%
(*.f64 (pow.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 2) (*.f64 (*.f64 z y) (*.f64 z y)))
86.7%
(-.f64 (*.f64 (pow.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 2) (*.f64 (*.f64 z y) (*.f64 z y))) (*.f64 124720040876201995101661081/1600000000000000000000000000 (*.f64 y y)))
69.2%
(/.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 2) (*.f64 (*.f64 z y) (*.f64 z y))) (*.f64 124720040876201995101661081/1600000000000000000000000000 (*.f64 y y))) (+.f64 (*.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) (*.f64 z y)) (*.f64 -11167812716741/40000000000000 y))) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000))
40.5%
(/.f64 (-.f64 (*.f64 (pow.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 2) (*.f64 (*.f64 z y) (*.f64 z y))) (*.f64 124720040876201995101661081/1600000000000000000000000000 (*.f64 y y))) (+.f64 (*.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) (*.f64 z y)) (*.f64 -11167812716741/40000000000000 y)))
99.7%
(*.f64 (+.f64 z 6012459259764103/1000000000000000) z)
92.6%
(*.f64 y (+.f64 (*.f64 (+.f64 (sqrt.f64 (*.f64 (pow.f64 z 2) 480125098611044764748221188321/100000000000000000000000000000000)) 307332350656623/625000000000000) z) 11167812716741/40000000000000))
69.0%
(/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (sqrt.f64 (*.f64 (pow.f64 z 2) 480125098611044764748221188321/100000000000000000000000000000000)) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000))
51.2%
(sqrt.f64 (*.f64 (pow.f64 z 2) 480125098611044764748221188321/100000000000000000000000000000000))
100.0%
(+.f64 z 6012459259764103/1000000000000000)
99.7%
(*.f64 (+.f64 z 6012459259764103/1000000000000000) z)
99.2%
(*.f64 y 11167812716741/40000000000000)
93.4%
(/.f64 (*.f64 y 11167812716741/40000000000000) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000))
99.8%
(fma.f64 279195317918525/3350343815022304 y x)
Compiler

Compiled 415 to 259 computations (37.6% saved)

series71.0ms (0.5%)

Counts
11 → 228
Calls

57 calls:

TimeVariablePointExpression
4.0ms
z
@0
(/.f64 (-.f64 (*.f64 (pow.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 2) (*.f64 (*.f64 z y) (*.f64 z y))) (*.f64 124720040876201995101661081/1600000000000000000000000000 (*.f64 y y))) (+.f64 (*.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) (*.f64 z y)) (*.f64 -11167812716741/40000000000000 y)))
4.0ms
y
@inf
(/.f64 (-.f64 (*.f64 (pow.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 2) (*.f64 (*.f64 z y) (*.f64 z y))) (*.f64 124720040876201995101661081/1600000000000000000000000000 (*.f64 y y))) (+.f64 (*.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) (*.f64 z y)) (*.f64 -11167812716741/40000000000000 y)))
3.0ms
y
@0
(/.f64 (-.f64 (*.f64 (pow.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 2) (*.f64 (*.f64 z y) (*.f64 z y))) (*.f64 124720040876201995101661081/1600000000000000000000000000 (*.f64 y y))) (+.f64 (*.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) (*.f64 z y)) (*.f64 -11167812716741/40000000000000 y)))
3.0ms
y
@0
(/.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 2) (*.f64 (*.f64 z y) (*.f64 z y))) (*.f64 124720040876201995101661081/1600000000000000000000000000 (*.f64 y y))) (+.f64 (*.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) (*.f64 z y)) (*.f64 -11167812716741/40000000000000 y))) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000))
3.0ms
z
@-inf
(/.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 2) (*.f64 (*.f64 z y) (*.f64 z y))) (*.f64 124720040876201995101661081/1600000000000000000000000000 (*.f64 y y))) (+.f64 (*.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) (*.f64 z y)) (*.f64 -11167812716741/40000000000000 y))) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000))

rewrite217.0ms (1.7%)

Algorithm
batch-egg-rewrite
Rules
340×log1p-expm1-u
340×expm1-log1p-u
331×add-cube-cbrt
330×add-exp-log
330×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
048558
1754496
Stop Event
node limit
Counts
11 → 251
Calls
Call 1
Inputs
(fma.f64 279195317918525/3350343815022304 y x)
(/.f64 (*.f64 y 11167812716741/40000000000000) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000))
(*.f64 y 11167812716741/40000000000000)
(+.f64 z 6012459259764103/1000000000000000)
(sqrt.f64 (*.f64 (pow.f64 z 2) 480125098611044764748221188321/100000000000000000000000000000000))
(/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (sqrt.f64 (*.f64 (pow.f64 z 2) 480125098611044764748221188321/100000000000000000000000000000000)) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000))
(*.f64 y (+.f64 (*.f64 (+.f64 (sqrt.f64 (*.f64 (pow.f64 z 2) 480125098611044764748221188321/100000000000000000000000000000000)) 307332350656623/625000000000000) z) 11167812716741/40000000000000))
(/.f64 (-.f64 (*.f64 (pow.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 2) (*.f64 (*.f64 z y) (*.f64 z y))) (*.f64 124720040876201995101661081/1600000000000000000000000000 (*.f64 y y))) (+.f64 (*.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) (*.f64 z y)) (*.f64 -11167812716741/40000000000000 y)))
(/.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 2) (*.f64 (*.f64 z y) (*.f64 z y))) (*.f64 124720040876201995101661081/1600000000000000000000000000 (*.f64 y y))) (+.f64 (*.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) (*.f64 z y)) (*.f64 -11167812716741/40000000000000 y))) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000))
(-.f64 (*.f64 (pow.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 2) (*.f64 (*.f64 z y) (*.f64 z y))) (*.f64 124720040876201995101661081/1600000000000000000000000000 (*.f64 y y)))
(*.f64 (pow.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 2) (*.f64 (*.f64 z y) (*.f64 z y)))
Outputs
(+.f64 (*.f64 279195317918525/3350343815022304 y) x)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 279195317918525/3350343815022304 y x))) 1)
(*.f64 1 (fma.f64 279195317918525/3350343815022304 y x))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 279195317918525/3350343815022304 y x)) 2) (cbrt.f64 (fma.f64 279195317918525/3350343815022304 y x)))
(*.f64 (sqrt.f64 (fma.f64 279195317918525/3350343815022304 y x)) (sqrt.f64 (fma.f64 279195317918525/3350343815022304 y x)))
(pow.f64 (fma.f64 279195317918525/3350343815022304 y x) 1)
(pow.f64 (cbrt.f64 (fma.f64 279195317918525/3350343815022304 y x)) 3)
(pow.f64 (pow.f64 (fma.f64 279195317918525/3350343815022304 y x) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 279195317918525/3350343815022304 y x)) 2)
(sqrt.f64 (pow.f64 (fma.f64 279195317918525/3350343815022304 y x) 2))
(log.f64 (exp.f64 (fma.f64 279195317918525/3350343815022304 y x)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 279195317918525/3350343815022304 y x))))
(cbrt.f64 (pow.f64 (fma.f64 279195317918525/3350343815022304 y x) 3))
(expm1.f64 (log1p.f64 (fma.f64 279195317918525/3350343815022304 y x)))
(log1p.f64 (expm1.f64 (fma.f64 279195317918525/3350343815022304 y x)))
(exp.f64 (log.f64 (fma.f64 279195317918525/3350343815022304 y x)))
(exp.f64 (*.f64 (log.f64 (fma.f64 279195317918525/3350343815022304 y x)) 1))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 y 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))) 1)
(*.f64 y (/.f64 11167812716741/40000000000000 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))
(*.f64 (*.f64 y 11167812716741/40000000000000) (/.f64 1 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))
(*.f64 1 (/.f64 (*.f64 y 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (*.f64 y 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) 2) (cbrt.f64 (/.f64 (*.f64 y 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))))
(*.f64 (sqrt.f64 (/.f64 (*.f64 y 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) (sqrt.f64 (/.f64 (*.f64 y 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))))
(pow.f64 (/.f64 (*.f64 y 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) 1)
(pow.f64 (cbrt.f64 (/.f64 (*.f64 y 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) 3)
(pow.f64 (pow.f64 (/.f64 (*.f64 y 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (*.f64 y 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) 2)
(pow.f64 (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) (*.f64 y 11167812716741/40000000000000)) -1)
(sqrt.f64 (pow.f64 (/.f64 (*.f64 y 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) 2))
(log.f64 (pow.f64 (exp.f64 y) (/.f64 11167812716741/40000000000000 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (*.f64 y 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))))
(cbrt.f64 (pow.f64 (/.f64 (*.f64 y 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) 3))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 y 11167812716741/40000000000000) 3) (pow.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) 3)))
(expm1.f64 (log1p.f64 (/.f64 (*.f64 y 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))))
(log1p.f64 (expm1.f64 (/.f64 (*.f64 y 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))))
(exp.f64 (log.f64 (/.f64 (*.f64 y 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 y 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) 1))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y 11167812716741/40000000000000))) 1)
(pow.f64 (*.f64 y 11167812716741/40000000000000) 1)
(pow.f64 (*.f64 124720040876201995101661081/1600000000000000000000000000 (pow.f64 y 2)) 1/2)
(pow.f64 (cbrt.f64 (*.f64 y 11167812716741/40000000000000)) 3)
(pow.f64 (pow.f64 (*.f64 y 11167812716741/40000000000000) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 y 11167812716741/40000000000000)) 2)
(sqrt.f64 (*.f64 124720040876201995101661081/1600000000000000000000000000 (pow.f64 y 2)))
(fabs.f64 (*.f64 y 11167812716741/40000000000000))
(log.f64 (pow.f64 (exp.f64 y) 11167812716741/40000000000000))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 y 11167812716741/40000000000000))))
(cbrt.f64 (pow.f64 (*.f64 y 11167812716741/40000000000000) 3))
(expm1.f64 (log1p.f64 (*.f64 y 11167812716741/40000000000000)))
(log1p.f64 (expm1.f64 (*.f64 y 11167812716741/40000000000000)))
(exp.f64 (log.f64 (*.f64 y 11167812716741/40000000000000)))
(exp.f64 (*.f64 (log.f64 (*.f64 y 11167812716741/40000000000000)) 1))
(-.f64 (exp.f64 (log1p.f64 (+.f64 z 6012459259764103/1000000000000000))) 1)
(-.f64 (/.f64 (pow.f64 z 2) (-.f64 z 6012459259764103/1000000000000000)) (/.f64 36149666350323105395943207394609/1000000000000000000000000000000 (-.f64 z 6012459259764103/1000000000000000)))
(*.f64 1 (+.f64 z 6012459259764103/1000000000000000))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 z 6012459259764103/1000000000000000)) 2) (cbrt.f64 (+.f64 z 6012459259764103/1000000000000000)))
(*.f64 (sqrt.f64 (+.f64 z 6012459259764103/1000000000000000)) (sqrt.f64 (+.f64 z 6012459259764103/1000000000000000)))
(/.f64 (+.f64 (pow.f64 z 3) 217348396185382961186752534140230541334573920727/1000000000000000000000000000000000000000000000) (fma.f64 z z (-.f64 36149666350323105395943207394609/1000000000000000000000000000000 (*.f64 z 6012459259764103/1000000000000000))))
(/.f64 (fma.f64 z z -36149666350323105395943207394609/1000000000000000000000000000000) (-.f64 z 6012459259764103/1000000000000000))
(/.f64 (neg.f64 (+.f64 (pow.f64 z 3) 217348396185382961186752534140230541334573920727/1000000000000000000000000000000000000000000000)) (neg.f64 (fma.f64 z z (-.f64 36149666350323105395943207394609/1000000000000000000000000000000 (*.f64 z 6012459259764103/1000000000000000)))))
(/.f64 (neg.f64 (fma.f64 z z -36149666350323105395943207394609/1000000000000000000000000000000)) (neg.f64 (-.f64 z 6012459259764103/1000000000000000)))
(pow.f64 (+.f64 z 6012459259764103/1000000000000000) 1)
(pow.f64 (cbrt.f64 (+.f64 z 6012459259764103/1000000000000000)) 3)
(pow.f64 (pow.f64 (+.f64 z 6012459259764103/1000000000000000) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 z 6012459259764103/1000000000000000)) 2)
(sqrt.f64 (pow.f64 (+.f64 z 6012459259764103/1000000000000000) 2))
(log.f64 (exp.f64 (+.f64 z 6012459259764103/1000000000000000)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 z 6012459259764103/1000000000000000))))
(cbrt.f64 (pow.f64 (+.f64 z 6012459259764103/1000000000000000) 3))
(expm1.f64 (log1p.f64 (+.f64 z 6012459259764103/1000000000000000)))
(log1p.f64 (expm1.f64 (+.f64 z 6012459259764103/1000000000000000)))
(exp.f64 (log.f64 (+.f64 z 6012459259764103/1000000000000000)))
(exp.f64 (*.f64 (log.f64 (+.f64 z 6012459259764103/1000000000000000)) 1))
(fma.f64 1 z 6012459259764103/1000000000000000)
(fma.f64 (pow.f64 (cbrt.f64 z) 2) (cbrt.f64 z) 6012459259764103/1000000000000000)
(fma.f64 (sqrt.f64 z) (sqrt.f64 z) 6012459259764103/1000000000000000)
(-.f64 (exp.f64 (log1p.f64 (*.f64 z 692910599291889/10000000000000000))) 1)
(*.f64 z 692910599291889/10000000000000000)
(*.f64 z (pow.f64 480125098611044764748221188321/100000000000000000000000000000000 1/2))
(*.f64 692910599291889/10000000000000000 z)
(*.f64 1 (*.f64 z 692910599291889/10000000000000000))
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(pow.f64 (cbrt.f64 (+.f64 (pow.f64 (*.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) y) 2) (*.f64 -124720040876201995101661081/1600000000000000000000000000 (pow.f64 y 2)))) 3)
(pow.f64 (pow.f64 (+.f64 (pow.f64 (*.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) y) 2) (*.f64 -124720040876201995101661081/1600000000000000000000000000 (pow.f64 y 2))) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (pow.f64 (*.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) y) 2) (*.f64 -124720040876201995101661081/1600000000000000000000000000 (pow.f64 y 2)))) 2)
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(exp.f64 (log.f64 (+.f64 (pow.f64 (*.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) y) 2) (*.f64 -124720040876201995101661081/1600000000000000000000000000 (pow.f64 y 2)))))
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simplify421.0ms (3.2%)

Algorithm
egg-herbie
Rules
1338×fma-define
948×associate-*r*
498×associate-+r+
440×associate-+l+
422×times-frac
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
089328373
1255524141
Stop Event
node limit
Counts
479 → 478
Calls
Call 1
Inputs
x
(+.f64 x (*.f64 279195317918525/3350343815022304 y))
(+.f64 x (*.f64 279195317918525/3350343815022304 y))
(+.f64 x (*.f64 279195317918525/3350343815022304 y))
(*.f64 279195317918525/3350343815022304 y)
(+.f64 x (*.f64 279195317918525/3350343815022304 y))
(+.f64 x (*.f64 279195317918525/3350343815022304 y))
(+.f64 x (*.f64 279195317918525/3350343815022304 y))
(*.f64 279195317918525/3350343815022304 y)
(+.f64 x (*.f64 279195317918525/3350343815022304 y))
(+.f64 x (*.f64 279195317918525/3350343815022304 y))
(+.f64 x (*.f64 279195317918525/3350343815022304 y))
(*.f64 279195317918525/3350343815022304 y)
(+.f64 x (*.f64 279195317918525/3350343815022304 y))
(+.f64 x (*.f64 279195317918525/3350343815022304 y))
(+.f64 x (*.f64 279195317918525/3350343815022304 y))
x
(+.f64 x (*.f64 279195317918525/3350343815022304 y))
(+.f64 x (*.f64 279195317918525/3350343815022304 y))
(+.f64 x (*.f64 279195317918525/3350343815022304 y))
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(fma.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) y)) 2) 2) (pow.f64 (cbrt.f64 (*.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) y)) 2) (neg.f64 (*.f64 124720040876201995101661081/1600000000000000000000000000 (pow.f64 y 2))))
(fma.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) y)) 2) 2) (pow.f64 (cbrt.f64 (*.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) y)) 2) (*.f64 -124720040876201995101661081/1600000000000000000000000000 (pow.f64 y 2)))
(fma.f64 (sqrt.f64 (+.f64 (pow.f64 (*.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) y) 2) (*.f64 -124720040876201995101661081/1600000000000000000000000000 (pow.f64 y 2)))) (sqrt.f64 (+.f64 (pow.f64 (*.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) y) 2) (*.f64 -124720040876201995101661081/1600000000000000000000000000 (pow.f64 y 2)))) (fma.f64 (neg.f64 (pow.f64 y 2)) 124720040876201995101661081/1600000000000000000000000000 (*.f64 124720040876201995101661081/1600000000000000000000000000 (pow.f64 y 2))))
(fma.f64 (*.f64 (pow.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 2) (*.f64 y z)) (*.f64 y z) (neg.f64 (*.f64 124720040876201995101661081/1600000000000000000000000000 (pow.f64 y 2))))
(fma.f64 (*.f64 (pow.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 2) (*.f64 y z)) (*.f64 y z) (*.f64 -124720040876201995101661081/1600000000000000000000000000 (pow.f64 y 2)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (*.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) y) 2))) 1)
(pow.f64 (pow.f64 (*.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) y) 2) 1)
(pow.f64 (*.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) y) 2)
(pow.f64 (pow.f64 (cbrt.f64 (*.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) y)) 2) 3)
(pow.f64 (pow.f64 (pow.f64 (*.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) y) 2) 3) 1/3)
(sqrt.f64 (pow.f64 (pow.f64 (*.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) y) 2) 2))
(log.f64 (exp.f64 (pow.f64 (*.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) y) 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (*.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) y) 2))))
(cbrt.f64 (pow.f64 (pow.f64 (*.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) y) 2) 3))
(expm1.f64 (log1p.f64 (pow.f64 (*.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) y) 2)))
(log1p.f64 (expm1.f64 (pow.f64 (*.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) y) 2)))
(exp.f64 (log.f64 (pow.f64 (*.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) y) 2)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) y) 2)) 1))
Outputs
x
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(fma.f64 279195317918525/3350343815022304 y x)
(+.f64 x (*.f64 279195317918525/3350343815022304 y))
(fma.f64 279195317918525/3350343815022304 y x)
(+.f64 x (*.f64 279195317918525/3350343815022304 y))
(fma.f64 279195317918525/3350343815022304 y x)
(*.f64 279195317918525/3350343815022304 y)
(+.f64 x (*.f64 279195317918525/3350343815022304 y))
(fma.f64 279195317918525/3350343815022304 y x)
(+.f64 x (*.f64 279195317918525/3350343815022304 y))
(fma.f64 279195317918525/3350343815022304 y x)
(+.f64 x (*.f64 279195317918525/3350343815022304 y))
(fma.f64 279195317918525/3350343815022304 y x)
(*.f64 279195317918525/3350343815022304 y)
(+.f64 x (*.f64 279195317918525/3350343815022304 y))
(fma.f64 279195317918525/3350343815022304 y x)
(+.f64 x (*.f64 279195317918525/3350343815022304 y))
(fma.f64 279195317918525/3350343815022304 y x)
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(*.f64 279195317918525/3350343815022304 y)
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(fma.f64 279195317918525/3350343815022304 y x)
(+.f64 x (*.f64 279195317918525/3350343815022304 y))
(fma.f64 279195317918525/3350343815022304 y x)
(+.f64 x (*.f64 279195317918525/3350343815022304 y))
(fma.f64 279195317918525/3350343815022304 y x)
x
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(fma.f64 279195317918525/3350343815022304 y x)
(+.f64 x (*.f64 279195317918525/3350343815022304 y))
(fma.f64 279195317918525/3350343815022304 y x)
x
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(fma.f64 279195317918525/3350343815022304 y x)
(+.f64 x (*.f64 279195317918525/3350343815022304 y))
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(*.f64 11167812716741/40000000000000 (/.f64 y (+.f64 104698244219447/31250000000000 (*.f64 z (+.f64 6012459259764103/1000000000000000 z)))))
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(*.f64 y (/.f64 11167812716741/40000000000000 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))
(*.f64 279195317918525/3350343815022304 y)
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(fma.f64 (*.f64 (pow.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 2) (*.f64 y z)) (*.f64 y z) (*.f64 -124720040876201995101661081/1600000000000000000000000000 (pow.f64 y 2)))
(fma.f64 (pow.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 2) (pow.f64 (*.f64 y z) 2) (*.f64 -124720040876201995101661081/1600000000000000000000000000 (pow.f64 y 2)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (*.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) y) 2))) 1)
(expm1.f64 (log1p.f64 (pow.f64 (*.f64 y (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000))) 2)))
(pow.f64 (pow.f64 (*.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) y) 2) 1)
(*.f64 (*.f64 (pow.f64 z 2) (pow.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 2)) (pow.f64 y 2))
(pow.f64 (*.f64 y (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000))) 2)
(pow.f64 (*.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) y) 2)
(*.f64 (*.f64 (pow.f64 z 2) (pow.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 2)) (pow.f64 y 2))
(pow.f64 (*.f64 y (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000))) 2)
(pow.f64 (pow.f64 (cbrt.f64 (*.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) y)) 2) 3)
(pow.f64 (pow.f64 (cbrt.f64 (*.f64 y (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)))) 2) 3)
(pow.f64 (pow.f64 (pow.f64 (*.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) y) 2) 3) 1/3)
(*.f64 (*.f64 (pow.f64 z 2) (pow.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 2)) (pow.f64 y 2))
(pow.f64 (*.f64 y (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000))) 2)
(sqrt.f64 (pow.f64 (pow.f64 (*.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) y) 2) 2))
(sqrt.f64 (pow.f64 (pow.f64 (*.f64 y (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000))) 2) 2))
(fabs.f64 (pow.f64 (*.f64 y (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000))) 2))
(log.f64 (exp.f64 (pow.f64 (*.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) y) 2)))
(*.f64 (*.f64 (pow.f64 z 2) (pow.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 2)) (pow.f64 y 2))
(pow.f64 (*.f64 y (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000))) 2)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (*.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) y) 2))))
(*.f64 (*.f64 (pow.f64 z 2) (pow.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 2)) (pow.f64 y 2))
(pow.f64 (*.f64 y (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000))) 2)
(cbrt.f64 (pow.f64 (pow.f64 (*.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) y) 2) 3))
(*.f64 (*.f64 (pow.f64 z 2) (pow.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 2)) (pow.f64 y 2))
(pow.f64 (*.f64 y (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000))) 2)
(expm1.f64 (log1p.f64 (pow.f64 (*.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) y) 2)))
(expm1.f64 (log1p.f64 (pow.f64 (*.f64 y (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000))) 2)))
(log1p.f64 (expm1.f64 (pow.f64 (*.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) y) 2)))
(*.f64 (*.f64 (pow.f64 z 2) (pow.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 2)) (pow.f64 y 2))
(pow.f64 (*.f64 y (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000))) 2)
(exp.f64 (log.f64 (pow.f64 (*.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) y) 2)))
(*.f64 (*.f64 (pow.f64 z 2) (pow.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 2)) (pow.f64 y 2))
(pow.f64 (*.f64 y (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000))) 2)
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) y) 2)) 1))
(*.f64 (*.f64 (pow.f64 z 2) (pow.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 2)) (pow.f64 y 2))
(pow.f64 (*.f64 y (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000))) 2)

eval591.0ms (4.5%)

Compiler

Compiled 24631 to 17192 computations (30.2% saved)

prune189.0ms (1.5%)

Pruning

26 alts after pruning (22 fresh and 4 done)

PrunedKeptTotal
New71210722
Fresh81220
Picked235
Done011
Total72226748
Accuracy
99.9%
Counts
748 → 26
Alt Table
Click to see full alt table
StatusAccuracyProgram
73.2%
(fma.f64 (fma.f64 z (/.f64 (-.f64 94453173760125479739253764129/390625000000000000000000000000 (*.f64 (pow.f64 z 2) 480125098611044764748221188321/100000000000000000000000000000000)) (-.f64 307332350656623/625000000000000 (*.f64 z 692910599291889/10000000000000000))) 11167812716741/40000000000000) (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) x)
71.4%
(fma.f64 (fma.f64 z (*.f64 z 692910599291889/10000000000000000) 11167812716741/40000000000000) (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) x)
79.9%
(fma.f64 279195317918525/3350343815022304 y x)
61.9%
(-.f64 (+.f64 x (+.f64 (*.f64 692910599291889/10000000000000000 y) (*.f64 307332350656623/625000000000000 (/.f64 y z)))) (*.f64 4166096748901211929300981260567/10000000000000000000000000000000 (/.f64 y z)))
73.4%
(+.f64 (/.f64 y (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000))) x)
79.9%
(+.f64 (*.f64 279195317918525/3350343815022304 y) x)
76.7%
(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
73.1%
(+.f64 x (pow.f64 (cbrt.f64 (/.f64 y (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)))) 3))
39.1%
(+.f64 x (/.f64 (pow.f64 (sqrt.f64 (*.f64 y 11167812716741/40000000000000)) 2) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
75.2%
(+.f64 x (/.f64 (pow.f64 (cbrt.f64 (*.f64 y 11167812716741/40000000000000)) 3) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
67.1%
(+.f64 x (/.f64 (-.f64 (+.f64 (*.f64 692910599291889/10000000000000000 (*.f64 y (pow.f64 z 2))) (+.f64 (*.f64 31484391253375159913084588043/9022273428279804687500000000 y) (*.f64 z (-.f64 (*.f64 307332350656623/312500000000000 y) (*.f64 307332350656623/625000000000000 y))))) (+.f64 (*.f64 -11167812716741/40000000000000 y) (*.f64 1639105870168656/230970199763963 (-.f64 (*.f64 307332350656623/312500000000000 y) (*.f64 307332350656623/625000000000000 y))))) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
74.7%
(+.f64 x (/.f64 (+.f64 (*.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) (*.f64 z y)) (*.f64 11167812716741/40000000000000 y)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
61.2%
(+.f64 x (/.f64 (*.f64 y (-.f64 (*.f64 (pow.f64 z 2) (pow.f64 (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z)) 2)) 124720040876201995101661081/1600000000000000000000000000)) (*.f64 (+.f64 104698244219447/31250000000000 (*.f64 z (+.f64 6012459259764103/1000000000000000 z))) (-.f64 (*.f64 z (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z))) 11167812716741/40000000000000))))
68.0%
(+.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)))
62.8%
(+.f64 x (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (sqrt.f64 (*.f64 (pow.f64 z 2) 480125098611044764748221188321/100000000000000000000000000000000)) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
65.8%
(+.f64 x (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (cbrt.f64 (*.f64 (pow.f64 z 3) 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000)) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
75.6%
(+.f64 x (/.f64 (*.f64 y 11167812716741/40000000000000) (+.f64 (*.f64 z z) 104698244219447/31250000000000)))
52.6%
(+.f64 x (/.f64 (sqrt.f64 (*.f64 124720040876201995101661081/1600000000000000000000000000 (pow.f64 y 2))) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
75.4%
(+.f64 x (/.f64 1 (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) (*.f64 y 11167812716741/40000000000000))))
62.2%
(+.f64 x (-.f64 (*.f64 y 692910599291889/10000000000000000) (/.f64 (*.f64 y -751220861604756070699018739433/10000000000000000000000000000000) z)))
67.9%
(+.f64 x (*.f64 y (+.f64 279195317918525/3350343815022304 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z))))
62.2%
(+.f64 x (*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))))
75.5%
(+.f64 x (*.f64 11167812716741/40000000000000 (/.f64 y (+.f64 104698244219447/31250000000000 (*.f64 z (+.f64 6012459259764103/1000000000000000 z))))))
39.6%
(*.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))))))
32.8%
(*.f64 279195317918525/3350343815022304 y)
48.9%
x
Compiler

Compiled 956 to 719 computations (24.8% saved)

localize474.0ms (3.6%)

Localize:

Found 14 expressions with local error:

NewAccuracyProgram
99.4%
(*.f64 (pow.f64 z 3) 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000)
92.6%
(*.f64 y (+.f64 (*.f64 (+.f64 (cbrt.f64 (*.f64 (pow.f64 z 3) 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000)) 307332350656623/625000000000000) z) 11167812716741/40000000000000))
69.2%
(/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (cbrt.f64 (*.f64 (pow.f64 z 3) 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000)) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000))
36.0%
(cbrt.f64 (*.f64 (pow.f64 z 3) 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000))
99.7%
(*.f64 (+.f64 z 6012459259764103/1000000000000000) z)
99.6%
(fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)
99.2%
(*.f64 11167812716741/40000000000000 y)
69.2%
(/.f64 (+.f64 (*.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) (*.f64 z y)) (*.f64 11167812716741/40000000000000 y)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000))
100.0%
(+.f64 x (/.f64 (*.f64 y 11167812716741/40000000000000) (+.f64 (*.f64 z z) 104698244219447/31250000000000)))
99.2%
(*.f64 y 11167812716741/40000000000000)
93.4%
(/.f64 (*.f64 y 11167812716741/40000000000000) (+.f64 (*.f64 z z) 104698244219447/31250000000000))
99.7%
(*.f64 279195317918525/3350343815022304 y)
100.0%
(+.f64 (*.f64 279195317918525/3350343815022304 y) x)
99.7%
(*.f64 279195317918525/3350343815022304 y)
Compiler

Compiled 279 to 188 computations (32.6% saved)

series66.0ms (0.5%)

Counts
11 → 180
Calls

54 calls:

TimeVariablePointExpression
11.0ms
z
@-inf
(cbrt.f64 (*.f64 (pow.f64 z 3) 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000))
3.0ms
y
@0
(/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (cbrt.f64 (*.f64 (pow.f64 z 3) 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000)) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000))
3.0ms
z
@0
(cbrt.f64 (*.f64 (pow.f64 z 3) 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000))
2.0ms
y
@0
(/.f64 (*.f64 y 11167812716741/40000000000000) (+.f64 (*.f64 z z) 104698244219447/31250000000000))
2.0ms
y
@inf
(/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (cbrt.f64 (*.f64 (pow.f64 z 3) 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000)) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000))

rewrite174.0ms (1.3%)

Algorithm
batch-egg-rewrite
Rules
304×log1p-expm1-u
304×expm1-log1p-u
299×add-cube-cbrt
296×add-exp-log
296×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
043317
1686305
Stop Event
node limit
Counts
11 → 257
Calls
Call 1
Inputs
(*.f64 279195317918525/3350343815022304 y)
(+.f64 (*.f64 279195317918525/3350343815022304 y) x)
(*.f64 279195317918525/3350343815022304 y)
(/.f64 (*.f64 y 11167812716741/40000000000000) (+.f64 (*.f64 z z) 104698244219447/31250000000000))
(+.f64 x (/.f64 (*.f64 y 11167812716741/40000000000000) (+.f64 (*.f64 z z) 104698244219447/31250000000000)))
(/.f64 (+.f64 (*.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) (*.f64 z y)) (*.f64 11167812716741/40000000000000 y)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000))
(*.f64 11167812716741/40000000000000 y)
(cbrt.f64 (*.f64 (pow.f64 z 3) 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000))
(/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (cbrt.f64 (*.f64 (pow.f64 z 3) 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000)) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000))
(*.f64 y (+.f64 (*.f64 (+.f64 (cbrt.f64 (*.f64 (pow.f64 z 3) 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000)) 307332350656623/625000000000000) z) 11167812716741/40000000000000))
(*.f64 (pow.f64 z 3) 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000)
Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 279195317918525/3350343815022304 y))) 1)
(pow.f64 (*.f64 279195317918525/3350343815022304 y) 1)
(pow.f64 (cbrt.f64 (*.f64 279195317918525/3350343815022304 y)) 3)
(pow.f64 (pow.f64 (*.f64 279195317918525/3350343815022304 y) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 279195317918525/3350343815022304 y)) 2)
(sqrt.f64 (pow.f64 (*.f64 279195317918525/3350343815022304 y) 2))
(log.f64 (pow.f64 (exp.f64 y) 279195317918525/3350343815022304))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 279195317918525/3350343815022304 y))))
(cbrt.f64 (pow.f64 (*.f64 279195317918525/3350343815022304 y) 3))
(expm1.f64 (log1p.f64 (*.f64 279195317918525/3350343815022304 y)))
(log1p.f64 (expm1.f64 (*.f64 279195317918525/3350343815022304 y)))
(exp.f64 (log.f64 (*.f64 279195317918525/3350343815022304 y)))
(exp.f64 (*.f64 (log.f64 (*.f64 279195317918525/3350343815022304 y)) 1))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 279195317918525/3350343815022304 y x))) 1)
(-.f64 (/.f64 (pow.f64 (*.f64 279195317918525/3350343815022304 y) 2) (-.f64 (*.f64 279195317918525/3350343815022304 y) x)) (/.f64 (pow.f64 x 2) (-.f64 (*.f64 279195317918525/3350343815022304 y) x)))
(*.f64 1 (fma.f64 279195317918525/3350343815022304 y x))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 279195317918525/3350343815022304 y x)) 2) (cbrt.f64 (fma.f64 279195317918525/3350343815022304 y x)))
(*.f64 (sqrt.f64 (fma.f64 279195317918525/3350343815022304 y x)) (sqrt.f64 (fma.f64 279195317918525/3350343815022304 y x)))
(*.f64 (+.f64 (pow.f64 (*.f64 279195317918525/3350343815022304 y) 3) (pow.f64 x 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 279195317918525/3350343815022304 y) 2) (-.f64 (pow.f64 x 2) (*.f64 (*.f64 279195317918525/3350343815022304 y) x)))))
(*.f64 (-.f64 (pow.f64 (*.f64 279195317918525/3350343815022304 y) 2) (pow.f64 x 2)) (/.f64 1 (-.f64 (*.f64 279195317918525/3350343815022304 y) x)))
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(*.f64 (/.f64 (sqrt.f64 (*.f64 y (fma.f64 z (fma.f64 z (cbrt.f64 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000) 307332350656623/625000000000000) 11167812716741/40000000000000))) (pow.f64 (cbrt.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) 2)) (/.f64 (sqrt.f64 (*.f64 y (fma.f64 z (fma.f64 z (cbrt.f64 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000) 307332350656623/625000000000000) 11167812716741/40000000000000))) (cbrt.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))))
(pow.f64 (/.f64 (*.f64 y (fma.f64 z (fma.f64 z (cbrt.f64 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000) 307332350656623/625000000000000) 11167812716741/40000000000000)) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) 1)
(pow.f64 (cbrt.f64 (/.f64 (*.f64 y (fma.f64 z (fma.f64 z (cbrt.f64 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000) 307332350656623/625000000000000) 11167812716741/40000000000000)) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) 3)
(pow.f64 (pow.f64 (/.f64 (*.f64 y (fma.f64 z (fma.f64 z (cbrt.f64 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000) 307332350656623/625000000000000) 11167812716741/40000000000000)) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (*.f64 y (fma.f64 z (fma.f64 z (cbrt.f64 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000) 307332350656623/625000000000000) 11167812716741/40000000000000)) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) 2)
(pow.f64 (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) (*.f64 y (fma.f64 z (fma.f64 z (cbrt.f64 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000) 307332350656623/625000000000000) 11167812716741/40000000000000))) -1)
(sqrt.f64 (pow.f64 (/.f64 (*.f64 y (fma.f64 z (fma.f64 z (cbrt.f64 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000) 307332350656623/625000000000000) 11167812716741/40000000000000)) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) 2))
(log.f64 (pow.f64 (exp.f64 y) (/.f64 (fma.f64 z (fma.f64 z (cbrt.f64 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000) 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (*.f64 y (fma.f64 z (fma.f64 z (cbrt.f64 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000) 307332350656623/625000000000000) 11167812716741/40000000000000)) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))))
(cbrt.f64 (pow.f64 (/.f64 (*.f64 y (fma.f64 z (fma.f64 z (cbrt.f64 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000) 307332350656623/625000000000000) 11167812716741/40000000000000)) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) 3))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 y (fma.f64 z (fma.f64 z (cbrt.f64 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000) 307332350656623/625000000000000) 11167812716741/40000000000000)) 3) (pow.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) 3)))
(expm1.f64 (log1p.f64 (/.f64 (*.f64 y (fma.f64 z (fma.f64 z (cbrt.f64 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000) 307332350656623/625000000000000) 11167812716741/40000000000000)) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))))
(log1p.f64 (expm1.f64 (/.f64 (*.f64 y (fma.f64 z (fma.f64 z (cbrt.f64 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000) 307332350656623/625000000000000) 11167812716741/40000000000000)) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))))
(exp.f64 (log.f64 (/.f64 (*.f64 y (fma.f64 z (fma.f64 z (cbrt.f64 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000) 307332350656623/625000000000000) 11167812716741/40000000000000)) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 y (fma.f64 z (fma.f64 z (cbrt.f64 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000) 307332350656623/625000000000000) 11167812716741/40000000000000)) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) 1))
(+.f64 (*.f64 y (*.f64 z (fma.f64 z (cbrt.f64 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000) 307332350656623/625000000000000))) (*.f64 y 11167812716741/40000000000000))
(+.f64 (*.f64 (*.f64 z (fma.f64 z (cbrt.f64 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000) 307332350656623/625000000000000)) y) (*.f64 y 11167812716741/40000000000000))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (fma.f64 z (fma.f64 z (cbrt.f64 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000) 307332350656623/625000000000000) 11167812716741/40000000000000)))) 1)
(/.f64 (+.f64 (pow.f64 (*.f64 y (*.f64 z (fma.f64 z (cbrt.f64 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000) 307332350656623/625000000000000))) 3) (*.f64 1392850058529705972970166011484436857021/64000000000000000000000000000000000000000 (pow.f64 y 3))) (+.f64 (*.f64 (*.f64 y (*.f64 z (fma.f64 z (cbrt.f64 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000) 307332350656623/625000000000000))) (*.f64 y (*.f64 z (fma.f64 z (cbrt.f64 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000) 307332350656623/625000000000000)))) (-.f64 (pow.f64 (*.f64 y 11167812716741/40000000000000) 2) (*.f64 (*.f64 y (*.f64 z (fma.f64 z (cbrt.f64 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000) 307332350656623/625000000000000))) (*.f64 y 11167812716741/40000000000000)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 z (fma.f64 z (cbrt.f64 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000) 307332350656623/625000000000000)) y) 3) (*.f64 1392850058529705972970166011484436857021/64000000000000000000000000000000000000000 (pow.f64 y 3))) (+.f64 (*.f64 (*.f64 (*.f64 z (fma.f64 z (cbrt.f64 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000) 307332350656623/625000000000000)) y) (*.f64 (*.f64 z (fma.f64 z (cbrt.f64 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000) 307332350656623/625000000000000)) y)) (-.f64 (pow.f64 (*.f64 y 11167812716741/40000000000000) 2) (*.f64 (*.f64 (*.f64 z (fma.f64 z (cbrt.f64 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000) 307332350656623/625000000000000)) y) (*.f64 y 11167812716741/40000000000000)))))
(pow.f64 (*.f64 y (fma.f64 z (fma.f64 z (cbrt.f64 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000) 307332350656623/625000000000000) 11167812716741/40000000000000)) 1)
(pow.f64 (cbrt.f64 (*.f64 y (fma.f64 z (fma.f64 z (cbrt.f64 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000) 307332350656623/625000000000000) 11167812716741/40000000000000))) 3)
(pow.f64 (pow.f64 (*.f64 y (fma.f64 z (fma.f64 z (cbrt.f64 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000) 307332350656623/625000000000000) 11167812716741/40000000000000)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 y (fma.f64 z (fma.f64 z (cbrt.f64 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000) 307332350656623/625000000000000) 11167812716741/40000000000000))) 2)
(sqrt.f64 (pow.f64 (*.f64 y (fma.f64 z (fma.f64 z (cbrt.f64 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000) 307332350656623/625000000000000) 11167812716741/40000000000000)) 2))
(log.f64 (pow.f64 (exp.f64 y) (fma.f64 z (fma.f64 z (cbrt.f64 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000) 307332350656623/625000000000000) 11167812716741/40000000000000)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 y (fma.f64 z (fma.f64 z (cbrt.f64 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000) 307332350656623/625000000000000) 11167812716741/40000000000000)))))
(cbrt.f64 (pow.f64 (*.f64 y (fma.f64 z (fma.f64 z (cbrt.f64 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000) 307332350656623/625000000000000) 11167812716741/40000000000000)) 3))
(cbrt.f64 (*.f64 (pow.f64 y 3) (pow.f64 (fma.f64 z (fma.f64 z (cbrt.f64 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000) 307332350656623/625000000000000) 11167812716741/40000000000000) 3)))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 z (fma.f64 z (cbrt.f64 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000) 307332350656623/625000000000000) 11167812716741/40000000000000) 3) (pow.f64 y 3)))
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(exp.f64 (log.f64 (*.f64 y (fma.f64 z (fma.f64 z (cbrt.f64 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000) 307332350656623/625000000000000) 11167812716741/40000000000000))))
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(fma.f64 y (*.f64 z (fma.f64 z (cbrt.f64 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000) 307332350656623/625000000000000)) (*.f64 y 11167812716741/40000000000000))
(fma.f64 (*.f64 z (fma.f64 z (cbrt.f64 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000) 307332350656623/625000000000000)) y (*.f64 y 11167812716741/40000000000000))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 z 3) 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000))) 1)
(pow.f64 (*.f64 (pow.f64 z 3) 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000) 1)
(pow.f64 (*.f64 z (cbrt.f64 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000)) 3)
(pow.f64 (pow.f64 (*.f64 (pow.f64 z 3) 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000) 3) 1/3)
(pow.f64 (*.f64 (pow.f64 z 3/2) (sqrt.f64 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000)) 2)
(sqrt.f64 (pow.f64 (*.f64 (pow.f64 z 3) 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000) 2))
(log.f64 (pow.f64 (exp.f64 (pow.f64 z 3)) 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 z 3) 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000))))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 z 3) 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000) 3))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 z 3) 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000)))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 z 3) 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000)))
(exp.f64 (log.f64 (*.f64 (pow.f64 z 3) 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000)))
(exp.f64 (*.f64 (log.f64 (*.f64 z (cbrt.f64 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000))) 3))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 z 3) 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000)) 1))

simplify229.0ms (1.8%)

Algorithm
egg-herbie
Rules
982×associate-*r*
834×fma-define
812×associate-*l*
348×sqr-pow
338×associate-*r/
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
078819694
1216418884
Stop Event
node limit
Counts
437 → 436
Calls
Call 1
Inputs
x
(+.f64 x (*.f64 279195317918525/3350343815022304 y))
(+.f64 x (*.f64 279195317918525/3350343815022304 y))
(+.f64 x (*.f64 279195317918525/3350343815022304 y))
(*.f64 279195317918525/3350343815022304 y)
(+.f64 x (*.f64 279195317918525/3350343815022304 y))
(+.f64 x (*.f64 279195317918525/3350343815022304 y))
(+.f64 x (*.f64 279195317918525/3350343815022304 y))
(*.f64 279195317918525/3350343815022304 y)
(+.f64 x (*.f64 279195317918525/3350343815022304 y))
(+.f64 x (*.f64 279195317918525/3350343815022304 y))
(+.f64 x (*.f64 279195317918525/3350343815022304 y))
(*.f64 279195317918525/3350343815022304 y)
(+.f64 x (*.f64 279195317918525/3350343815022304 y))
(+.f64 x (*.f64 279195317918525/3350343815022304 y))
(+.f64 x (*.f64 279195317918525/3350343815022304 y))
x
(+.f64 x (*.f64 279195317918525/3350343815022304 y))
(+.f64 x (*.f64 279195317918525/3350343815022304 y))
(+.f64 x (*.f64 279195317918525/3350343815022304 y))
x
(+.f64 x (*.f64 279195317918525/3350343815022304 y))
(+.f64 x (*.f64 279195317918525/3350343815022304 y))
(+.f64 x (*.f64 279195317918525/3350343815022304 y))
(*.f64 11167812716741/40000000000000 (/.f64 y (+.f64 104698244219447/31250000000000 (pow.f64 z 2))))
(*.f64 11167812716741/40000000000000 (/.f64 y (+.f64 104698244219447/31250000000000 (pow.f64 z 2))))
(*.f64 11167812716741/40000000000000 (/.f64 y (+.f64 104698244219447/31250000000000 (pow.f64 z 2))))
(*.f64 11167812716741/40000000000000 (/.f64 y (+.f64 104698244219447/31250000000000 (pow.f64 z 2))))
(*.f64 11167812716741/40000000000000 (/.f64 y (+.f64 104698244219447/31250000000000 (pow.f64 z 2))))
(*.f64 11167812716741/40000000000000 (/.f64 y (+.f64 104698244219447/31250000000000 (pow.f64 z 2))))
(*.f64 11167812716741/40000000000000 (/.f64 y (+.f64 104698244219447/31250000000000 (pow.f64 z 2))))
(*.f64 11167812716741/40000000000000 (/.f64 y (+.f64 104698244219447/31250000000000 (pow.f64 z 2))))
(*.f64 11167812716741/40000000000000 (/.f64 y (+.f64 104698244219447/31250000000000 (pow.f64 z 2))))
(*.f64 11167812716741/40000000000000 (/.f64 y (+.f64 104698244219447/31250000000000 (pow.f64 z 2))))
(*.f64 11167812716741/40000000000000 (/.f64 y (+.f64 104698244219447/31250000000000 (pow.f64 z 2))))
(*.f64 11167812716741/40000000000000 (/.f64 y (+.f64 104698244219447/31250000000000 (pow.f64 z 2))))
(*.f64 279195317918525/3350343815022304 y)
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(*.f64 11167812716741/40000000000000 (/.f64 y (pow.f64 z 2)))
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(+.f64 (*.f64 -1169250383214395100054662227/1250000000000000000000000000 (/.f64 y (pow.f64 z 4))) (+.f64 (*.f64 11167812716741/40000000000000 (/.f64 y (pow.f64 z 2))) (*.f64 122418462175462731343176800701724849728469/39062500000000000000000000000000000000000 (/.f64 y (pow.f64 z 6)))))
(+.f64 (*.f64 -12816998049815732128093142420074678921325994206799336643/1220703125000000000000000000000000000000000000000000000 (/.f64 y (pow.f64 z 8))) (+.f64 (*.f64 -1169250383214395100054662227/1250000000000000000000000000 (/.f64 y (pow.f64 z 4))) (+.f64 (*.f64 11167812716741/40000000000000 (/.f64 y (pow.f64 z 2))) (*.f64 122418462175462731343176800701724849728469/39062500000000000000000000000000000000000 (/.f64 y (pow.f64 z 6))))))
(*.f64 11167812716741/40000000000000 (/.f64 y (pow.f64 z 2)))
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(+.f64 (*.f64 -1169250383214395100054662227/1250000000000000000000000000 (/.f64 y (pow.f64 z 4))) (+.f64 (*.f64 11167812716741/40000000000000 (/.f64 y (pow.f64 z 2))) (*.f64 122418462175462731343176800701724849728469/39062500000000000000000000000000000000000 (/.f64 y (pow.f64 z 6)))))
(+.f64 (*.f64 -12816998049815732128093142420074678921325994206799336643/1220703125000000000000000000000000000000000000000000000 (/.f64 y (pow.f64 z 8))) (+.f64 (*.f64 -1169250383214395100054662227/1250000000000000000000000000 (/.f64 y (pow.f64 z 4))) (+.f64 (*.f64 11167812716741/40000000000000 (/.f64 y (pow.f64 z 2))) (*.f64 122418462175462731343176800701724849728469/39062500000000000000000000000000000000000 (/.f64 y (pow.f64 z 6))))))
(*.f64 11167812716741/40000000000000 (/.f64 y (+.f64 104698244219447/31250000000000 (pow.f64 z 2))))
(+.f64 x (*.f64 11167812716741/40000000000000 (/.f64 y (+.f64 104698244219447/31250000000000 (pow.f64 z 2)))))
(+.f64 x (*.f64 11167812716741/40000000000000 (/.f64 y (+.f64 104698244219447/31250000000000 (pow.f64 z 2)))))
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(log1p.f64 (expm1.f64 (/.f64 (*.f64 y (fma.f64 z (fma.f64 z (cbrt.f64 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000) 307332350656623/625000000000000) 11167812716741/40000000000000)) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))))
(exp.f64 (log.f64 (/.f64 (*.f64 y (fma.f64 z (fma.f64 z (cbrt.f64 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000) 307332350656623/625000000000000) 11167812716741/40000000000000)) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 y (fma.f64 z (fma.f64 z (cbrt.f64 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000) 307332350656623/625000000000000) 11167812716741/40000000000000)) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) 1))
(+.f64 (*.f64 y (*.f64 z (fma.f64 z (cbrt.f64 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000) 307332350656623/625000000000000))) (*.f64 y 11167812716741/40000000000000))
(+.f64 (*.f64 (*.f64 z (fma.f64 z (cbrt.f64 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000) 307332350656623/625000000000000)) y) (*.f64 y 11167812716741/40000000000000))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (fma.f64 z (fma.f64 z (cbrt.f64 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000) 307332350656623/625000000000000) 11167812716741/40000000000000)))) 1)
(/.f64 (+.f64 (pow.f64 (*.f64 y (*.f64 z (fma.f64 z (cbrt.f64 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000) 307332350656623/625000000000000))) 3) (*.f64 1392850058529705972970166011484436857021/64000000000000000000000000000000000000000 (pow.f64 y 3))) (+.f64 (*.f64 (*.f64 y (*.f64 z (fma.f64 z (cbrt.f64 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000) 307332350656623/625000000000000))) (*.f64 y (*.f64 z (fma.f64 z (cbrt.f64 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000) 307332350656623/625000000000000)))) (-.f64 (pow.f64 (*.f64 y 11167812716741/40000000000000) 2) (*.f64 (*.f64 y (*.f64 z (fma.f64 z (cbrt.f64 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000) 307332350656623/625000000000000))) (*.f64 y 11167812716741/40000000000000)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 z (fma.f64 z (cbrt.f64 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000) 307332350656623/625000000000000)) y) 3) (*.f64 1392850058529705972970166011484436857021/64000000000000000000000000000000000000000 (pow.f64 y 3))) (+.f64 (*.f64 (*.f64 (*.f64 z (fma.f64 z (cbrt.f64 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000) 307332350656623/625000000000000)) y) (*.f64 (*.f64 z (fma.f64 z (cbrt.f64 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000) 307332350656623/625000000000000)) y)) (-.f64 (pow.f64 (*.f64 y 11167812716741/40000000000000) 2) (*.f64 (*.f64 (*.f64 z (fma.f64 z (cbrt.f64 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000) 307332350656623/625000000000000)) y) (*.f64 y 11167812716741/40000000000000)))))
(pow.f64 (*.f64 y (fma.f64 z (fma.f64 z (cbrt.f64 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000) 307332350656623/625000000000000) 11167812716741/40000000000000)) 1)
(pow.f64 (cbrt.f64 (*.f64 y (fma.f64 z (fma.f64 z (cbrt.f64 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000) 307332350656623/625000000000000) 11167812716741/40000000000000))) 3)
(pow.f64 (pow.f64 (*.f64 y (fma.f64 z (fma.f64 z (cbrt.f64 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000) 307332350656623/625000000000000) 11167812716741/40000000000000)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 y (fma.f64 z (fma.f64 z (cbrt.f64 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000) 307332350656623/625000000000000) 11167812716741/40000000000000))) 2)
(sqrt.f64 (pow.f64 (*.f64 y (fma.f64 z (fma.f64 z (cbrt.f64 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000) 307332350656623/625000000000000) 11167812716741/40000000000000)) 2))
(log.f64 (pow.f64 (exp.f64 y) (fma.f64 z (fma.f64 z (cbrt.f64 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000) 307332350656623/625000000000000) 11167812716741/40000000000000)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 y (fma.f64 z (fma.f64 z (cbrt.f64 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000) 307332350656623/625000000000000) 11167812716741/40000000000000)))))
(cbrt.f64 (pow.f64 (*.f64 y (fma.f64 z (fma.f64 z (cbrt.f64 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000) 307332350656623/625000000000000) 11167812716741/40000000000000)) 3))
(cbrt.f64 (*.f64 (pow.f64 y 3) (pow.f64 (fma.f64 z (fma.f64 z (cbrt.f64 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000) 307332350656623/625000000000000) 11167812716741/40000000000000) 3)))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 z (fma.f64 z (cbrt.f64 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000) 307332350656623/625000000000000) 11167812716741/40000000000000) 3) (pow.f64 y 3)))
(expm1.f64 (log1p.f64 (*.f64 y (fma.f64 z (fma.f64 z (cbrt.f64 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000) 307332350656623/625000000000000) 11167812716741/40000000000000))))
(log1p.f64 (expm1.f64 (*.f64 y (fma.f64 z (fma.f64 z (cbrt.f64 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000) 307332350656623/625000000000000) 11167812716741/40000000000000))))
(exp.f64 (log.f64 (*.f64 y (fma.f64 z (fma.f64 z (cbrt.f64 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000) 307332350656623/625000000000000) 11167812716741/40000000000000))))
(exp.f64 (*.f64 (log.f64 (*.f64 y (fma.f64 z (fma.f64 z (cbrt.f64 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000) 307332350656623/625000000000000) 11167812716741/40000000000000))) 1))
(fma.f64 y (*.f64 z (fma.f64 z (cbrt.f64 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000) 307332350656623/625000000000000)) (*.f64 y 11167812716741/40000000000000))
(fma.f64 (*.f64 z (fma.f64 z (cbrt.f64 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000) 307332350656623/625000000000000)) y (*.f64 y 11167812716741/40000000000000))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 z 3) 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000))) 1)
(pow.f64 (*.f64 (pow.f64 z 3) 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000) 1)
(pow.f64 (*.f64 z (cbrt.f64 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000)) 3)
(pow.f64 (pow.f64 (*.f64 (pow.f64 z 3) 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000) 3) 1/3)
(pow.f64 (*.f64 (pow.f64 z 3/2) (sqrt.f64 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000)) 2)
(sqrt.f64 (pow.f64 (*.f64 (pow.f64 z 3) 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000) 2))
(log.f64 (pow.f64 (exp.f64 (pow.f64 z 3)) 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 z 3) 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000))))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 z 3) 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000) 3))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 z 3) 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000)))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 z 3) 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000)))
(exp.f64 (log.f64 (*.f64 (pow.f64 z 3) 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000)))
(exp.f64 (*.f64 (log.f64 (*.f64 z (cbrt.f64 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000))) 3))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 z 3) 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000)) 1))
Outputs
x
(+.f64 x (*.f64 279195317918525/3350343815022304 y))
(fma.f64 279195317918525/3350343815022304 y x)
(+.f64 x (*.f64 279195317918525/3350343815022304 y))
(fma.f64 279195317918525/3350343815022304 y x)
(+.f64 x (*.f64 279195317918525/3350343815022304 y))
(fma.f64 279195317918525/3350343815022304 y x)
(*.f64 279195317918525/3350343815022304 y)
(+.f64 x (*.f64 279195317918525/3350343815022304 y))
(fma.f64 279195317918525/3350343815022304 y x)
(+.f64 x (*.f64 279195317918525/3350343815022304 y))
(fma.f64 279195317918525/3350343815022304 y x)
(+.f64 x (*.f64 279195317918525/3350343815022304 y))
(fma.f64 279195317918525/3350343815022304 y x)
(*.f64 279195317918525/3350343815022304 y)
(+.f64 x (*.f64 279195317918525/3350343815022304 y))
(fma.f64 279195317918525/3350343815022304 y x)
(+.f64 x (*.f64 279195317918525/3350343815022304 y))
(fma.f64 279195317918525/3350343815022304 y x)
(+.f64 x (*.f64 279195317918525/3350343815022304 y))
(fma.f64 279195317918525/3350343815022304 y x)
(*.f64 279195317918525/3350343815022304 y)
(+.f64 x (*.f64 279195317918525/3350343815022304 y))
(fma.f64 279195317918525/3350343815022304 y x)
(+.f64 x (*.f64 279195317918525/3350343815022304 y))
(fma.f64 279195317918525/3350343815022304 y x)
(+.f64 x (*.f64 279195317918525/3350343815022304 y))
(fma.f64 279195317918525/3350343815022304 y x)
x
(+.f64 x (*.f64 279195317918525/3350343815022304 y))
(fma.f64 279195317918525/3350343815022304 y x)
(+.f64 x (*.f64 279195317918525/3350343815022304 y))
(fma.f64 279195317918525/3350343815022304 y x)
(+.f64 x (*.f64 279195317918525/3350343815022304 y))
(fma.f64 279195317918525/3350343815022304 y x)
x
(+.f64 x (*.f64 279195317918525/3350343815022304 y))
(fma.f64 279195317918525/3350343815022304 y x)
(+.f64 x (*.f64 279195317918525/3350343815022304 y))
(fma.f64 279195317918525/3350343815022304 y x)
(+.f64 x (*.f64 279195317918525/3350343815022304 y))
(fma.f64 279195317918525/3350343815022304 y x)
(*.f64 11167812716741/40000000000000 (/.f64 y (+.f64 104698244219447/31250000000000 (pow.f64 z 2))))
(*.f64 11167812716741/40000000000000 (/.f64 y (fma.f64 z z 104698244219447/31250000000000)))
(*.f64 y (/.f64 11167812716741/40000000000000 (fma.f64 z z 104698244219447/31250000000000)))
(*.f64 11167812716741/40000000000000 (/.f64 y (+.f64 104698244219447/31250000000000 (pow.f64 z 2))))
(*.f64 11167812716741/40000000000000 (/.f64 y (fma.f64 z z 104698244219447/31250000000000)))
(*.f64 y (/.f64 11167812716741/40000000000000 (fma.f64 z z 104698244219447/31250000000000)))
(*.f64 11167812716741/40000000000000 (/.f64 y (+.f64 104698244219447/31250000000000 (pow.f64 z 2))))
(*.f64 11167812716741/40000000000000 (/.f64 y (fma.f64 z z 104698244219447/31250000000000)))
(*.f64 y (/.f64 11167812716741/40000000000000 (fma.f64 z z 104698244219447/31250000000000)))
(*.f64 11167812716741/40000000000000 (/.f64 y (+.f64 104698244219447/31250000000000 (pow.f64 z 2))))
(*.f64 11167812716741/40000000000000 (/.f64 y (fma.f64 z z 104698244219447/31250000000000)))
(*.f64 y (/.f64 11167812716741/40000000000000 (fma.f64 z z 104698244219447/31250000000000)))
(*.f64 11167812716741/40000000000000 (/.f64 y (+.f64 104698244219447/31250000000000 (pow.f64 z 2))))
(*.f64 11167812716741/40000000000000 (/.f64 y (fma.f64 z z 104698244219447/31250000000000)))
(*.f64 y (/.f64 11167812716741/40000000000000 (fma.f64 z z 104698244219447/31250000000000)))
(*.f64 11167812716741/40000000000000 (/.f64 y (+.f64 104698244219447/31250000000000 (pow.f64 z 2))))
(*.f64 11167812716741/40000000000000 (/.f64 y (fma.f64 z z 104698244219447/31250000000000)))
(*.f64 y (/.f64 11167812716741/40000000000000 (fma.f64 z z 104698244219447/31250000000000)))
(*.f64 11167812716741/40000000000000 (/.f64 y (+.f64 104698244219447/31250000000000 (pow.f64 z 2))))
(*.f64 11167812716741/40000000000000 (/.f64 y (fma.f64 z z 104698244219447/31250000000000)))
(*.f64 y (/.f64 11167812716741/40000000000000 (fma.f64 z z 104698244219447/31250000000000)))
(*.f64 11167812716741/40000000000000 (/.f64 y (+.f64 104698244219447/31250000000000 (pow.f64 z 2))))
(*.f64 11167812716741/40000000000000 (/.f64 y (fma.f64 z z 104698244219447/31250000000000)))
(*.f64 y (/.f64 11167812716741/40000000000000 (fma.f64 z z 104698244219447/31250000000000)))
(*.f64 11167812716741/40000000000000 (/.f64 y (+.f64 104698244219447/31250000000000 (pow.f64 z 2))))
(*.f64 11167812716741/40000000000000 (/.f64 y (fma.f64 z z 104698244219447/31250000000000)))
(*.f64 y (/.f64 11167812716741/40000000000000 (fma.f64 z z 104698244219447/31250000000000)))
(*.f64 11167812716741/40000000000000 (/.f64 y (+.f64 104698244219447/31250000000000 (pow.f64 z 2))))
(*.f64 11167812716741/40000000000000 (/.f64 y (fma.f64 z z 104698244219447/31250000000000)))
(*.f64 y (/.f64 11167812716741/40000000000000 (fma.f64 z z 104698244219447/31250000000000)))
(*.f64 11167812716741/40000000000000 (/.f64 y (+.f64 104698244219447/31250000000000 (pow.f64 z 2))))
(*.f64 11167812716741/40000000000000 (/.f64 y (fma.f64 z z 104698244219447/31250000000000)))
(*.f64 y (/.f64 11167812716741/40000000000000 (fma.f64 z z 104698244219447/31250000000000)))
(*.f64 11167812716741/40000000000000 (/.f64 y (+.f64 104698244219447/31250000000000 (pow.f64 z 2))))
(*.f64 11167812716741/40000000000000 (/.f64 y (fma.f64 z z 104698244219447/31250000000000)))
(*.f64 y (/.f64 11167812716741/40000000000000 (fma.f64 z z 104698244219447/31250000000000)))
(*.f64 279195317918525/3350343815022304 y)
(+.f64 (*.f64 -272651677654809570312500000/10961722342634967150292985809 (*.f64 y (pow.f64 z 2))) (*.f64 279195317918525/3350343815022304 y))
(fma.f64 -272651677654809570312500000/10961722342634967150292985809 (*.f64 y (pow.f64 z 2)) (*.f64 279195317918525/3350343815022304 y))
(+.f64 (*.f64 -272651677654809570312500000/10961722342634967150292985809 (*.f64 y (pow.f64 z 2))) (+.f64 (*.f64 8520364926712799072265625000000000000000/1147673082894964476557575335949564252827623 (*.f64 y (pow.f64 z 4))) (*.f64 279195317918525/3350343815022304 y)))
(fma.f64 -272651677654809570312500000/10961722342634967150292985809 (*.f64 y (pow.f64 z 2)) (fma.f64 8520364926712799072265625000000000000000/1147673082894964476557575335949564252827623 (*.f64 y (pow.f64 z 4)) (*.f64 279195317918525/3350343815022304 y)))
(fma.f64 -272651677654809570312500000/10961722342634967150292985809 (*.f64 y (pow.f64 z 2)) (fma.f64 279195317918525/3350343815022304 y (*.f64 (pow.f64 z 4) (*.f64 y 8520364926712799072265625000000000000000/1147673082894964476557575335949564252827623))))
(+.f64 (*.f64 -272651677654809570312500000/10961722342634967150292985809 (*.f64 y (pow.f64 z 2))) (+.f64 (*.f64 -266261403959774971008300781250000000000000000000000000/120159356717022632160008572058759684584348189384275384481 (*.f64 y (pow.f64 z 6))) (+.f64 (*.f64 8520364926712799072265625000000000000000/1147673082894964476557575335949564252827623 (*.f64 y (pow.f64 z 4))) (*.f64 279195317918525/3350343815022304 y))))
(fma.f64 -272651677654809570312500000/10961722342634967150292985809 (*.f64 y (pow.f64 z 2)) (fma.f64 -266261403959774971008300781250000000000000000000000000/120159356717022632160008572058759684584348189384275384481 (*.f64 y (pow.f64 z 6)) (fma.f64 8520364926712799072265625000000000000000/1147673082894964476557575335949564252827623 (*.f64 y (pow.f64 z 4)) (*.f64 279195317918525/3350343815022304 y))))
(fma.f64 -272651677654809570312500000/10961722342634967150292985809 (*.f64 y (pow.f64 z 2)) (fma.f64 -266261403959774971008300781250000000000000000000000000/120159356717022632160008572058759684584348189384275384481 (*.f64 y (pow.f64 z 6)) (fma.f64 279195317918525/3350343815022304 y (*.f64 (pow.f64 z 4) (*.f64 y 8520364926712799072265625000000000000000/1147673082894964476557575335949564252827623)))))
(*.f64 11167812716741/40000000000000 (/.f64 y (pow.f64 z 2)))
(/.f64 (*.f64 y 11167812716741/40000000000000) (pow.f64 z 2))
(+.f64 (*.f64 -1169250383214395100054662227/1250000000000000000000000000 (/.f64 y (pow.f64 z 4))) (*.f64 11167812716741/40000000000000 (/.f64 y (pow.f64 z 2))))
(fma.f64 -1169250383214395100054662227/1250000000000000000000000000 (/.f64 y (pow.f64 z 4)) (*.f64 11167812716741/40000000000000 (/.f64 y (pow.f64 z 2))))
(fma.f64 11167812716741/40000000000000 (/.f64 y (pow.f64 z 2)) (/.f64 (*.f64 -1169250383214395100054662227/1250000000000000000000000000 y) (pow.f64 z 4)))
(+.f64 (*.f64 -1169250383214395100054662227/1250000000000000000000000000 (/.f64 y (pow.f64 z 4))) (+.f64 (*.f64 11167812716741/40000000000000 (/.f64 y (pow.f64 z 2))) (*.f64 122418462175462731343176800701724849728469/39062500000000000000000000000000000000000 (/.f64 y (pow.f64 z 6)))))
(fma.f64 -1169250383214395100054662227/1250000000000000000000000000 (/.f64 y (pow.f64 z 4)) (fma.f64 11167812716741/40000000000000 (/.f64 y (pow.f64 z 2)) (*.f64 122418462175462731343176800701724849728469/39062500000000000000000000000000000000000 (/.f64 y (pow.f64 z 6)))))
(fma.f64 -1169250383214395100054662227/1250000000000000000000000000 (/.f64 y (pow.f64 z 4)) (fma.f64 11167812716741/40000000000000 (/.f64 y (pow.f64 z 2)) (/.f64 (*.f64 122418462175462731343176800701724849728469/39062500000000000000000000000000000000000 y) (pow.f64 z 6))))
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(cbrt.f64 (pow.f64 (*.f64 y (fma.f64 z (fma.f64 z (cbrt.f64 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000) 307332350656623/625000000000000) 11167812716741/40000000000000)) 3))
(*.f64 y (fma.f64 z (fma.f64 z (cbrt.f64 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000) 307332350656623/625000000000000) 11167812716741/40000000000000))
(cbrt.f64 (*.f64 (pow.f64 y 3) (pow.f64 (fma.f64 z (fma.f64 z (cbrt.f64 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000) 307332350656623/625000000000000) 11167812716741/40000000000000) 3)))
(*.f64 y (fma.f64 z (fma.f64 z (cbrt.f64 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000) 307332350656623/625000000000000) 11167812716741/40000000000000))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 z (fma.f64 z (cbrt.f64 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000) 307332350656623/625000000000000) 11167812716741/40000000000000) 3) (pow.f64 y 3)))
(*.f64 y (fma.f64 z (fma.f64 z (cbrt.f64 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000) 307332350656623/625000000000000) 11167812716741/40000000000000))
(expm1.f64 (log1p.f64 (*.f64 y (fma.f64 z (fma.f64 z (cbrt.f64 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000) 307332350656623/625000000000000) 11167812716741/40000000000000))))
(log1p.f64 (expm1.f64 (*.f64 y (fma.f64 z (fma.f64 z (cbrt.f64 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000) 307332350656623/625000000000000) 11167812716741/40000000000000))))
(*.f64 y (fma.f64 z (fma.f64 z (cbrt.f64 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000) 307332350656623/625000000000000) 11167812716741/40000000000000))
(exp.f64 (log.f64 (*.f64 y (fma.f64 z (fma.f64 z (cbrt.f64 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000) 307332350656623/625000000000000) 11167812716741/40000000000000))))
(*.f64 y (fma.f64 z (fma.f64 z (cbrt.f64 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000) 307332350656623/625000000000000) 11167812716741/40000000000000))
(exp.f64 (*.f64 (log.f64 (*.f64 y (fma.f64 z (fma.f64 z (cbrt.f64 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000) 307332350656623/625000000000000) 11167812716741/40000000000000))) 1))
(*.f64 y (fma.f64 z (fma.f64 z (cbrt.f64 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000) 307332350656623/625000000000000) 11167812716741/40000000000000))
(fma.f64 y (*.f64 z (fma.f64 z (cbrt.f64 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000) 307332350656623/625000000000000)) (*.f64 y 11167812716741/40000000000000))
(*.f64 y (fma.f64 z (fma.f64 z (cbrt.f64 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000) 307332350656623/625000000000000) 11167812716741/40000000000000))
(fma.f64 (*.f64 z (fma.f64 z (cbrt.f64 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000) 307332350656623/625000000000000)) y (*.f64 y 11167812716741/40000000000000))
(*.f64 y (fma.f64 z (fma.f64 z (cbrt.f64 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000) 307332350656623/625000000000000) 11167812716741/40000000000000))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 z 3) 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000))) 1)
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 z 3) 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000)))
(pow.f64 (*.f64 (pow.f64 z 3) 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000) 1)
(*.f64 (pow.f64 z 3) 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000)
(pow.f64 (*.f64 z (cbrt.f64 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000)) 3)
(*.f64 (pow.f64 z 3) 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000)
(pow.f64 (pow.f64 (*.f64 (pow.f64 z 3) 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000) 3) 1/3)
(*.f64 (pow.f64 z 3) 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000)
(pow.f64 (*.f64 (pow.f64 z 3/2) (sqrt.f64 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000)) 2)
(sqrt.f64 (pow.f64 (*.f64 (pow.f64 z 3) 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000) 2))
(sqrt.f64 (*.f64 (pow.f64 z 6) 110678490697425871308449323144387990588420609595782468459764896371005709908743534603200161/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000))
(log.f64 (pow.f64 (exp.f64 (pow.f64 z 3)) 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000))
(*.f64 (pow.f64 z 3) 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000)
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 z 3) 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000))))
(*.f64 (pow.f64 z 3) 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000)
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 z 3) 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000) 3))
(*.f64 (pow.f64 z 3) 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000)
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 z 3) 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000)))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 z 3) 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000)))
(*.f64 (pow.f64 z 3) 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000)
(exp.f64 (log.f64 (*.f64 (pow.f64 z 3) 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000)))
(*.f64 (pow.f64 z 3) 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000)
(exp.f64 (*.f64 (log.f64 (*.f64 z (cbrt.f64 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000))) 3))
(*.f64 (pow.f64 z 3) 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000)
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 z 3) 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000)) 1))
(*.f64 (pow.f64 z 3) 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000)

eval377.0ms (2.9%)

Compiler

Compiled 13805 to 9875 computations (28.5% saved)

prune162.0ms (1.2%)

Pruning

27 alts after pruning (20 fresh and 7 done)

PrunedKeptTotal
New5656571
Fresh31417
Picked145
Done134
Total57027597
Accuracy
99.9%
Counts
597 → 27
Alt Table
Click to see full alt table
StatusAccuracyProgram
73.2%
(fma.f64 (fma.f64 z (/.f64 (-.f64 94453173760125479739253764129/390625000000000000000000000000 (*.f64 (pow.f64 z 2) 480125098611044764748221188321/100000000000000000000000000000000)) (-.f64 307332350656623/625000000000000 (*.f64 z 692910599291889/10000000000000000))) 11167812716741/40000000000000) (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) x)
71.4%
(fma.f64 (fma.f64 z (*.f64 z 692910599291889/10000000000000000) 11167812716741/40000000000000) (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) x)
79.9%
(fma.f64 279195317918525/3350343815022304 y x)
18.5%
(pow.f64 (sqrt.f64 (*.f64 279195317918525/3350343815022304 y)) 2)
32.4%
(pow.f64 (cbrt.f64 (*.f64 279195317918525/3350343815022304 y)) 3)
61.9%
(-.f64 (+.f64 x (+.f64 (*.f64 692910599291889/10000000000000000 y) (*.f64 307332350656623/625000000000000 (/.f64 y z)))) (*.f64 4166096748901211929300981260567/10000000000000000000000000000000 (/.f64 y z)))
73.4%
(+.f64 (/.f64 y (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000))) x)
79.9%
(+.f64 (*.f64 279195317918525/3350343815022304 y) x)
76.7%
(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
73.1%
(+.f64 x (pow.f64 (cbrt.f64 (/.f64 y (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)))) 3))
75.3%
(+.f64 x (/.f64 (pow.f64 (cbrt.f64 (*.f64 y 11167812716741/40000000000000)) 3) (+.f64 (*.f64 z z) 104698244219447/31250000000000)))
67.1%
(+.f64 x (/.f64 (-.f64 (+.f64 (*.f64 692910599291889/10000000000000000 (*.f64 y (pow.f64 z 2))) (+.f64 (*.f64 31484391253375159913084588043/9022273428279804687500000000 y) (*.f64 z (-.f64 (*.f64 307332350656623/312500000000000 y) (*.f64 307332350656623/625000000000000 y))))) (+.f64 (*.f64 -11167812716741/40000000000000 y) (*.f64 1639105870168656/230970199763963 (-.f64 (*.f64 307332350656623/312500000000000 y) (*.f64 307332350656623/625000000000000 y))))) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
68.0%
(+.f64 x (/.f64 (+.f64 (*.f64 (/.f64 (-.f64 94453173760125479739253764129/390625000000000000000000000000 (*.f64 (pow.f64 z 2) 480125098611044764748221188321/100000000000000000000000000000000)) (-.f64 307332350656623/625000000000000 (*.f64 z 692910599291889/10000000000000000))) (*.f64 z y)) (*.f64 11167812716741/40000000000000 y)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
73.0%
(+.f64 x (/.f64 (+.f64 (*.f64 (*.f64 z 692910599291889/10000000000000000) (*.f64 z y)) (*.f64 11167812716741/40000000000000 y)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
61.2%
(+.f64 x (/.f64 (*.f64 y (-.f64 (*.f64 (pow.f64 z 2) (pow.f64 (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z)) 2)) 124720040876201995101661081/1600000000000000000000000000)) (*.f64 (+.f64 104698244219447/31250000000000 (*.f64 z (+.f64 6012459259764103/1000000000000000 z))) (-.f64 (*.f64 z (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z))) 11167812716741/40000000000000))))
68.0%
(+.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)))
65.8%
(+.f64 x (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (cbrt.f64 (*.f64 (pow.f64 z 3) 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000)) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
75.6%
(+.f64 x (/.f64 (*.f64 y 11167812716741/40000000000000) (+.f64 (*.f64 z z) 104698244219447/31250000000000)))
75.4%
(+.f64 x (/.f64 1 (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) (*.f64 y 11167812716741/40000000000000))))
62.2%
(+.f64 x (-.f64 (*.f64 y 692910599291889/10000000000000000) (/.f64 (*.f64 y -751220861604756070699018739433/10000000000000000000000000000000) z)))
67.9%
(+.f64 x (*.f64 y (+.f64 279195317918525/3350343815022304 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z))))
62.2%
(+.f64 x (*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))))
75.5%
(+.f64 x (*.f64 11167812716741/40000000000000 (/.f64 y (+.f64 104698244219447/31250000000000 (*.f64 z (+.f64 6012459259764103/1000000000000000 z))))))
39.6%
(*.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))))))
32.8%
(*.f64 279195317918525/3350343815022304 y)
13.7%
(cbrt.f64 (pow.f64 (*.f64 279195317918525/3350343815022304 y) 3))
48.9%
x
Compiler

Compiled 914 to 690 computations (24.5% saved)

localize403.0ms (3.1%)

Localize:

Found 16 expressions with local error:

NewAccuracyProgram
99.9%
(sqrt.f64 (*.f64 279195317918525/3350343815022304 y))
99.9%
(*.f64 279195317918525/3350343815022304 y)
99.6%
(pow.f64 (sqrt.f64 (*.f64 279195317918525/3350343815022304 y)) 2)
99.6%
(*.f64 z 692910599291889/10000000000000000)
99.6%
(*.f64 11167812716741/40000000000000 y)
87.1%
(/.f64 (-.f64 94453173760125479739253764129/390625000000000000000000000000 (*.f64 (pow.f64 z 2) 480125098611044764748221188321/100000000000000000000000000000000)) (-.f64 307332350656623/625000000000000 (*.f64 z 692910599291889/10000000000000000)))
83.3%
(/.f64 (+.f64 (*.f64 (/.f64 (-.f64 94453173760125479739253764129/390625000000000000000000000000 (*.f64 (pow.f64 z 2) 480125098611044764748221188321/100000000000000000000000000000000)) (-.f64 307332350656623/625000000000000 (*.f64 z 692910599291889/10000000000000000))) (*.f64 z y)) (*.f64 11167812716741/40000000000000 y)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000))
99.8%
(*.f64 4166096748901211929300981260567/10000000000000000000000000000000 (/.f64 y z))
99.8%
(*.f64 307332350656623/625000000000000 (/.f64 y z))
99.5%
(*.f64 692910599291889/10000000000000000 y)
92.3%
(-.f64 (+.f64 x (+.f64 (*.f64 692910599291889/10000000000000000 y) (*.f64 307332350656623/625000000000000 (/.f64 y z)))) (*.f64 4166096748901211929300981260567/10000000000000000000000000000000 (/.f64 y z)))
100.0%
(+.f64 x (*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))))
100.0%
(+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))
99.8%
(/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)
99.7%
(*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)))
99.5%
(*.f64 692910599291889/10000000000000000 y)
Compiler

Compiled 285 to 191 computations (33% saved)

series57.0ms (0.4%)

Counts
13 → 129
Calls

63 calls:

TimeVariablePointExpression
3.0ms
y
@0
(/.f64 (+.f64 (*.f64 (/.f64 (-.f64 94453173760125479739253764129/390625000000000000000000000000 (*.f64 (pow.f64 z 2) 480125098611044764748221188321/100000000000000000000000000000000)) (-.f64 307332350656623/625000000000000 (*.f64 z 692910599291889/10000000000000000))) (*.f64 z y)) (*.f64 11167812716741/40000000000000 y)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000))
2.0ms
y
@-inf
(*.f64 4166096748901211929300981260567/10000000000000000000000000000000 (/.f64 y z))
2.0ms
y
@-inf
(/.f64 (+.f64 (*.f64 (/.f64 (-.f64 94453173760125479739253764129/390625000000000000000000000000 (*.f64 (pow.f64 z 2) 480125098611044764748221188321/100000000000000000000000000000000)) (-.f64 307332350656623/625000000000000 (*.f64 z 692910599291889/10000000000000000))) (*.f64 z y)) (*.f64 11167812716741/40000000000000 y)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000))
2.0ms
y
@-inf
(+.f64 x (*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))))
2.0ms
y
@inf
(/.f64 (+.f64 (*.f64 (/.f64 (-.f64 94453173760125479739253764129/390625000000000000000000000000 (*.f64 (pow.f64 z 2) 480125098611044764748221188321/100000000000000000000000000000000)) (-.f64 307332350656623/625000000000000 (*.f64 z 692910599291889/10000000000000000))) (*.f64 z y)) (*.f64 11167812716741/40000000000000 y)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000))

rewrite150.0ms (1.1%)

Algorithm
batch-egg-rewrite
Rules
375×log1p-expm1-u
375×expm1-log1p-u
363×add-cube-cbrt
362×add-exp-log
362×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
049371
1814367
Stop Event
node limit
Counts
13 → 248
Calls
Call 1
Inputs
(*.f64 692910599291889/10000000000000000 y)
(*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)))
(/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)
(+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))
(+.f64 x (*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))))
(-.f64 (+.f64 x (+.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))
(/.f64 (+.f64 (*.f64 (/.f64 (-.f64 94453173760125479739253764129/390625000000000000000000000000 (*.f64 (pow.f64 z 2) 480125098611044764748221188321/100000000000000000000000000000000)) (-.f64 307332350656623/625000000000000 (*.f64 z 692910599291889/10000000000000000))) (*.f64 z y)) (*.f64 11167812716741/40000000000000 y)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000))
(/.f64 (-.f64 94453173760125479739253764129/390625000000000000000000000000 (*.f64 (pow.f64 z 2) 480125098611044764748221188321/100000000000000000000000000000000)) (-.f64 307332350656623/625000000000000 (*.f64 z 692910599291889/10000000000000000)))
(pow.f64 (sqrt.f64 (*.f64 279195317918525/3350343815022304 y)) 2)
(sqrt.f64 (*.f64 279195317918525/3350343815022304 y))
Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 692910599291889/10000000000000000 y))) 1)
(pow.f64 (*.f64 692910599291889/10000000000000000 y) 1)
(pow.f64 (cbrt.f64 (*.f64 692910599291889/10000000000000000 y)) 3)
(pow.f64 (*.f64 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000 (pow.f64 y 3)) 1/3)
(pow.f64 (sqrt.f64 (*.f64 692910599291889/10000000000000000 y)) 2)
(log.f64 (pow.f64 (exp.f64 y) 692910599291889/10000000000000000))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 692910599291889/10000000000000000 y))))
(cbrt.f64 (*.f64 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000 (pow.f64 y 3)))
(expm1.f64 (log1p.f64 (*.f64 692910599291889/10000000000000000 y)))
(log1p.f64 (expm1.f64 (*.f64 692910599291889/10000000000000000 y)))
(exp.f64 (log.f64 (*.f64 692910599291889/10000000000000000 y)))
(exp.f64 (*.f64 (log.f64 (*.f64 692910599291889/10000000000000000 y)) 1))
(+.f64 (*.f64 692910599291889/10000000000000000 y) (*.f64 y (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)))
(+.f64 (*.f64 692910599291889/10000000000000000 y) (*.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z) y))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))))) 1)
(pow.f64 (*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))) 1)
(pow.f64 (cbrt.f64 (*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)))) 3)
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(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 94453173760125479739253764129/390625000000000000000000000000 (*.f64 (pow.f64 z 2) 480125098611044764748221188321/100000000000000000000000000000000)) (-.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z)))) 2) (cbrt.f64 (/.f64 (-.f64 94453173760125479739253764129/390625000000000000000000000000 (*.f64 (pow.f64 z 2) 480125098611044764748221188321/100000000000000000000000000000000)) (-.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z)))))
(*.f64 (sqrt.f64 (/.f64 (-.f64 94453173760125479739253764129/390625000000000000000000000000 (*.f64 (pow.f64 z 2) 480125098611044764748221188321/100000000000000000000000000000000)) (-.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z)))) (sqrt.f64 (/.f64 (-.f64 94453173760125479739253764129/390625000000000000000000000000 (*.f64 (pow.f64 z 2) 480125098611044764748221188321/100000000000000000000000000000000)) (-.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z)))))
(pow.f64 (/.f64 (-.f64 94453173760125479739253764129/390625000000000000000000000000 (*.f64 (pow.f64 z 2) 480125098611044764748221188321/100000000000000000000000000000000)) (-.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z))) 1)
(pow.f64 (cbrt.f64 (/.f64 (-.f64 94453173760125479739253764129/390625000000000000000000000000 (*.f64 (pow.f64 z 2) 480125098611044764748221188321/100000000000000000000000000000000)) (-.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z)))) 3)
(pow.f64 (pow.f64 (/.f64 (-.f64 94453173760125479739253764129/390625000000000000000000000000 (*.f64 (pow.f64 z 2) 480125098611044764748221188321/100000000000000000000000000000000)) (-.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z))) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (-.f64 94453173760125479739253764129/390625000000000000000000000000 (*.f64 (pow.f64 z 2) 480125098611044764748221188321/100000000000000000000000000000000)) (-.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z)))) 2)
(pow.f64 (/.f64 (-.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z)) (-.f64 94453173760125479739253764129/390625000000000000000000000000 (*.f64 (pow.f64 z 2) 480125098611044764748221188321/100000000000000000000000000000000))) -1)
(log.f64 (exp.f64 (/.f64 (-.f64 94453173760125479739253764129/390625000000000000000000000000 (*.f64 (pow.f64 z 2) 480125098611044764748221188321/100000000000000000000000000000000)) (-.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z)))))
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(cbrt.f64 (pow.f64 (/.f64 (-.f64 94453173760125479739253764129/390625000000000000000000000000 (*.f64 (pow.f64 z 2) 480125098611044764748221188321/100000000000000000000000000000000)) (-.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z))) 3))
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(expm1.f64 (log1p.f64 (/.f64 (-.f64 94453173760125479739253764129/390625000000000000000000000000 (*.f64 (pow.f64 z 2) 480125098611044764748221188321/100000000000000000000000000000000)) (-.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z)))))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 94453173760125479739253764129/390625000000000000000000000000 (*.f64 (pow.f64 z 2) 480125098611044764748221188321/100000000000000000000000000000000)) (-.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z)))))
(exp.f64 (log.f64 (/.f64 (-.f64 94453173760125479739253764129/390625000000000000000000000000 (*.f64 (pow.f64 z 2) 480125098611044764748221188321/100000000000000000000000000000000)) (-.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 94453173760125479739253764129/390625000000000000000000000000 (*.f64 (pow.f64 z 2) 480125098611044764748221188321/100000000000000000000000000000000)) (-.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z)))) 1))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y 279195317918525/3350343815022304))) 1)
(*.f64 y 279195317918525/3350343815022304)
(*.f64 279195317918525/3350343815022304 y)
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(log.f64 (+.f64 1 (expm1.f64 (*.f64 y 279195317918525/3350343815022304))))
(cbrt.f64 (pow.f64 (*.f64 y 279195317918525/3350343815022304) 3))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 y 279195317918525/3350343815022304) 3/2) (pow.f64 (*.f64 y 279195317918525/3350343815022304) 3/2)))
(expm1.f64 (log1p.f64 (*.f64 y 279195317918525/3350343815022304)))
(log1p.f64 (expm1.f64 (*.f64 y 279195317918525/3350343815022304)))
(exp.f64 (log.f64 (*.f64 y 279195317918525/3350343815022304)))
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(pow.f64 (*.f64 y 279195317918525/3350343815022304) 1/2)
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(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 y 279195317918525/3350343815022304))) 3)
(pow.f64 (pow.f64 (*.f64 y 279195317918525/3350343815022304) 3/2) 1/3)
(pow.f64 (sqrt.f64 (sqrt.f64 (*.f64 y 279195317918525/3350343815022304))) 2)
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(cbrt.f64 (pow.f64 (*.f64 y 279195317918525/3350343815022304) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 y 279195317918525/3350343815022304))))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 y 279195317918525/3350343815022304))))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 y 279195317918525/3350343815022304))))
(exp.f64 (*.f64 (log.f64 (*.f64 y 279195317918525/3350343815022304)) 1/2))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 y 279195317918525/3350343815022304))) 1))

simplify384.0ms (2.9%)

Algorithm
egg-herbie
Rules
1188×log-prod
1152×fma-neg
764×exp-prod
570×fma-define
562×associate-*r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
061212652
1158212121
2581512113
Stop Event
node limit
Counts
377 → 330
Calls
Call 1
Inputs
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(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 y 279195317918525/3350343815022304)) 2) 1/2) (pow.f64 (cbrt.f64 (*.f64 y 279195317918525/3350343815022304)) 1/2))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 y 279195317918525/3350343815022304)) 2)) (sqrt.f64 (cbrt.f64 (*.f64 y 279195317918525/3350343815022304))))
(pow.f64 (*.f64 y 279195317918525/3350343815022304) 1/2)
(pow.f64 (sqrt.f64 (*.f64 y 279195317918525/3350343815022304)) 1)
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 y 279195317918525/3350343815022304))) 3)
(pow.f64 (pow.f64 (*.f64 y 279195317918525/3350343815022304) 3/2) 1/3)
(pow.f64 (sqrt.f64 (sqrt.f64 (*.f64 y 279195317918525/3350343815022304))) 2)
(log.f64 (exp.f64 (sqrt.f64 (*.f64 y 279195317918525/3350343815022304))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 y 279195317918525/3350343815022304)))))
(cbrt.f64 (pow.f64 (*.f64 y 279195317918525/3350343815022304) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 y 279195317918525/3350343815022304))))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 y 279195317918525/3350343815022304))))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 y 279195317918525/3350343815022304))))
(exp.f64 (*.f64 (log.f64 (*.f64 y 279195317918525/3350343815022304)) 1/2))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 y 279195317918525/3350343815022304))) 1))
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(-.f64 (exp.f64 (log1p.f64 (*.f64 y 279195317918525/3350343815022304))) 1)
(expm1.f64 (log1p.f64 (*.f64 y 279195317918525/3350343815022304)))
(*.f64 y 279195317918525/3350343815022304)
(*.f64 279195317918525/3350343815022304 y)
(*.f64 y 279195317918525/3350343815022304)
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(*.f64 y 279195317918525/3350343815022304)
(expm1.f64 (log1p.f64 (*.f64 y 279195317918525/3350343815022304)))
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(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 y 279195317918525/3350343815022304)))) 1)
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(sqrt.f64 (*.f64 y 279195317918525/3350343815022304))
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(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 y 279195317918525/3350343815022304))) 1))
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eval232.0ms (1.8%)

Compiler

Compiled 8042 to 5642 computations (29.8% saved)

prune184.0ms (1.4%)

Pruning

28 alts after pruning (19 fresh and 9 done)

PrunedKeptTotal
New37510385
Fresh6915
Picked235
Done167
Total38428412
Accuracy
100.0%
Counts
412 → 28
Alt Table
Click to see full alt table
StatusAccuracyProgram
71.4%
(fma.f64 (fma.f64 z (*.f64 z 692910599291889/10000000000000000) 11167812716741/40000000000000) (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) x)
79.9%
(fma.f64 279195317918525/3350343815022304 y x)
18.5%
(pow.f64 (sqrt.f64 (*.f64 279195317918525/3350343815022304 y)) 2)
32.4%
(pow.f64 (cbrt.f64 (*.f64 279195317918525/3350343815022304 y)) 3)
25.4%
(-.f64 (+.f64 (*.f64 692910599291889/10000000000000000 y) (*.f64 307332350656623/625000000000000 (/.f64 y z))) (*.f64 4166096748901211929300981260567/10000000000000000000000000000000 (/.f64 y z)))
40.7%
(+.f64 (pow.f64 (sqrt.f64 (*.f64 692910599291889/10000000000000000 y)) 2) x)
76.4%
(+.f64 (pow.f64 (cbrt.f64 (*.f64 692910599291889/10000000000000000 y)) 3) x)
62.2%
(+.f64 (*.f64 y 692910599291889/10000000000000000) (-.f64 x (*.f64 y (/.f64 -751220861604756070699018739433/10000000000000000000000000000000 z))))
79.9%
(+.f64 (*.f64 279195317918525/3350343815022304 y) x)
76.7%
(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
52.3%
(+.f64 (cbrt.f64 (*.f64 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000 (pow.f64 y 3))) x)
75.3%
(+.f64 x (/.f64 (pow.f64 (cbrt.f64 (*.f64 y 11167812716741/40000000000000)) 3) (+.f64 (*.f64 z z) 104698244219447/31250000000000)))
73.0%
(+.f64 x (/.f64 (+.f64 (*.f64 (*.f64 z 692910599291889/10000000000000000) (*.f64 z y)) (*.f64 11167812716741/40000000000000 y)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
61.2%
(+.f64 x (/.f64 (*.f64 y (-.f64 (*.f64 (pow.f64 z 2) (pow.f64 (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z)) 2)) 124720040876201995101661081/1600000000000000000000000000)) (*.f64 (+.f64 104698244219447/31250000000000 (*.f64 z (+.f64 6012459259764103/1000000000000000 z))) (-.f64 (*.f64 z (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z))) 11167812716741/40000000000000))))
68.0%
(+.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)))
65.8%
(+.f64 x (/.f64 (*.f64 y (+.f64 11167812716741/40000000000000 (/.f64 (*.f64 z (-.f64 94453173760125479739253764129/390625000000000000000000000000 (*.f64 480125098611044764748221188321/100000000000000000000000000000000 (pow.f64 z 2)))) (-.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z))))) (+.f64 104698244219447/31250000000000 (*.f64 z (+.f64 6012459259764103/1000000000000000 z)))))
75.6%
(+.f64 x (/.f64 (*.f64 y 11167812716741/40000000000000) (+.f64 (*.f64 z z) 104698244219447/31250000000000)))
75.4%
(+.f64 x (/.f64 1 (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) (*.f64 y 11167812716741/40000000000000))))
73.2%
(+.f64 x (*.f64 (fma.f64 z (/.f64 (+.f64 94453173760125479739253764129/390625000000000000000000000000 (*.f64 (pow.f64 z 2) -480125098611044764748221188321/100000000000000000000000000000000)) (+.f64 307332350656623/625000000000000 (*.f64 z -692910599291889/10000000000000000))) 11167812716741/40000000000000) (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))))
57.1%
(+.f64 x (*.f64 y (/.f64 (-.f64 480125098611044764748221188321/100000000000000000000000000000000 (pow.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z) 2)) (-.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)))))
67.9%
(+.f64 x (*.f64 y (+.f64 279195317918525/3350343815022304 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z))))
62.2%
(+.f64 x (*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))))
61.6%
(+.f64 x (*.f64 y (+.f64 -1 (+.f64 10692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)))))
75.5%
(+.f64 x (*.f64 11167812716741/40000000000000 (/.f64 y (+.f64 104698244219447/31250000000000 (*.f64 z (+.f64 6012459259764103/1000000000000000 z))))))
39.6%
(*.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))))))
32.8%
(*.f64 279195317918525/3350343815022304 y)
13.7%
(cbrt.f64 (pow.f64 (*.f64 y 279195317918525/3350343815022304) 3))
48.9%
x
Compiler

Compiled 1354 to 980 computations (27.6% saved)

regimes611.0ms (4.7%)

Counts
54 → 2
Calls
Call 1
Inputs
x
(*.f64 279195317918525/3350343815022304 y)
(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
(+.f64 (*.f64 279195317918525/3350343815022304 y) x)
(+.f64 x (*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))))
(+.f64 x (*.f64 y (+.f64 279195317918525/3350343815022304 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z))))
(+.f64 x (*.f64 y (+.f64 -1 (+.f64 10692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)))))
(+.f64 x (-.f64 (*.f64 692910599291889/10000000000000000 y) (*.f64 y (/.f64 -751220861604756070699018739433/10000000000000000000000000000000 z))))
(+.f64 x (-.f64 (*.f64 y 692910599291889/10000000000000000) (/.f64 (*.f64 y -751220861604756070699018739433/10000000000000000000000000000000) z)))
(+.f64 x (/.f64 (*.f64 y 11167812716741/40000000000000) (+.f64 (*.f64 z z) 104698244219447/31250000000000)))
(+.f64 (*.f64 y 692910599291889/10000000000000000) (-.f64 x (*.f64 y (/.f64 -751220861604756070699018739433/10000000000000000000000000000000 z))))
(+.f64 x (*.f64 11167812716741/40000000000000 (/.f64 y (+.f64 104698244219447/31250000000000 (*.f64 z (+.f64 6012459259764103/1000000000000000 z))))))
(+.f64 x (/.f64 (*.f64 y 11167812716741/40000000000000) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
(-.f64 (+.f64 (*.f64 692910599291889/10000000000000000 y) (*.f64 307332350656623/625000000000000 (/.f64 y z))) (*.f64 4166096748901211929300981260567/10000000000000000000000000000000 (/.f64 y z)))
(-.f64 (+.f64 x (+.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 x (/.f64 (+.f64 (*.f64 (*.f64 z 692910599291889/10000000000000000) (*.f64 z y)) (*.f64 11167812716741/40000000000000 y)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
(*.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))))))
(fma.f64 279195317918525/3350343815022304 y x)
(+.f64 x (/.f64 1 (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) (*.f64 y 11167812716741/40000000000000))))
(+.f64 x (*.f64 y (/.f64 (-.f64 480125098611044764748221188321/100000000000000000000000000000000 (pow.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z) 2)) (-.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)))))
(+.f64 x (/.f64 (+.f64 (*.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) (*.f64 z y)) (*.f64 11167812716741/40000000000000 y)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
(+.f64 x (/.f64 (*.f64 y (+.f64 11167812716741/40000000000000 (/.f64 (*.f64 z (-.f64 94453173760125479739253764129/390625000000000000000000000000 (*.f64 480125098611044764748221188321/100000000000000000000000000000000 (pow.f64 z 2)))) (-.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z))))) (+.f64 104698244219447/31250000000000 (*.f64 z (+.f64 6012459259764103/1000000000000000 z)))))
(+.f64 x (/.f64 (+.f64 (*.f64 (/.f64 (-.f64 94453173760125479739253764129/390625000000000000000000000000 (*.f64 (pow.f64 z 2) 480125098611044764748221188321/100000000000000000000000000000000)) (-.f64 307332350656623/625000000000000 (*.f64 z 692910599291889/10000000000000000))) (*.f64 z y)) (*.f64 11167812716741/40000000000000 y)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
(+.f64 x (/.f64 (-.f64 (+.f64 (*.f64 692910599291889/10000000000000000 (*.f64 y (pow.f64 z 2))) (+.f64 (*.f64 31484391253375159913084588043/9022273428279804687500000000 y) (*.f64 z (-.f64 (*.f64 307332350656623/312500000000000 y) (*.f64 307332350656623/625000000000000 y))))) (+.f64 (*.f64 -11167812716741/40000000000000 y) (*.f64 1639105870168656/230970199763963 (-.f64 (*.f64 307332350656623/312500000000000 y) (*.f64 307332350656623/625000000000000 y))))) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
(cbrt.f64 (pow.f64 (*.f64 279195317918525/3350343815022304 y) 3))
(cbrt.f64 (pow.f64 (*.f64 y 279195317918525/3350343815022304) 3))
(pow.f64 (cbrt.f64 (*.f64 279195317918525/3350343815022304 y)) 3)
(pow.f64 (sqrt.f64 (*.f64 279195317918525/3350343815022304 y)) 2)
(+.f64 (cbrt.f64 (*.f64 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000 (pow.f64 y 3))) x)
(+.f64 (pow.f64 (cbrt.f64 (*.f64 692910599291889/10000000000000000 y)) 3) x)
(+.f64 (pow.f64 (sqrt.f64 (*.f64 692910599291889/10000000000000000 y)) 2) x)
(+.f64 x (/.f64 (pow.f64 (cbrt.f64 (*.f64 y 11167812716741/40000000000000)) 3) (+.f64 (*.f64 z z) 104698244219447/31250000000000)))
(+.f64 x (/.f64 (sqrt.f64 (*.f64 124720040876201995101661081/1600000000000000000000000000 (pow.f64 y 2))) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
(+.f64 x (/.f64 (pow.f64 (cbrt.f64 (*.f64 y 11167812716741/40000000000000)) 3) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
(+.f64 x (/.f64 (pow.f64 (sqrt.f64 (*.f64 y 11167812716741/40000000000000)) 2) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
(+.f64 x (*.f64 y (/.f64 (+.f64 11167812716741/40000000000000 (+.f64 (*.f64 692910599291889/10000000000000000 (pow.f64 z 2)) (*.f64 307332350656623/625000000000000 z))) (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000))))
(+.f64 x (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (cbrt.f64 (*.f64 (pow.f64 z 3) 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000)) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
(+.f64 x (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (sqrt.f64 (*.f64 (pow.f64 z 2) 480125098611044764748221188321/100000000000000000000000000000000)) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
(+.f64 x (/.f64 (*.f64 y (-.f64 (*.f64 (pow.f64 z 2) (pow.f64 (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z)) 2)) 124720040876201995101661081/1600000000000000000000000000)) (*.f64 (+.f64 104698244219447/31250000000000 (*.f64 z (+.f64 6012459259764103/1000000000000000 z))) (-.f64 (*.f64 z (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z))) 11167812716741/40000000000000))))
(fma.f64 (fma.f64 z 307332350656623/625000000000000 11167812716741/40000000000000) (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) x)
(fma.f64 (fma.f64 z (*.f64 z 692910599291889/10000000000000000) 11167812716741/40000000000000) (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) x)
(+.f64 x (*.f64 y (/.f64 (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000) (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000))))
(+.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)))
(+.f64 (/.f64 y (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000))) x)
(+.f64 x (/.f64 1 (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) (*.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) y))))
(+.f64 x (*.f64 (fma.f64 z (/.f64 (+.f64 94453173760125479739253764129/390625000000000000000000000000 (*.f64 (pow.f64 z 2) -480125098611044764748221188321/100000000000000000000000000000000)) (+.f64 307332350656623/625000000000000 (*.f64 z -692910599291889/10000000000000000))) 11167812716741/40000000000000) (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))))
(+.f64 x (/.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 2) (*.f64 (*.f64 z y) (*.f64 z y))) (*.f64 124720040876201995101661081/1600000000000000000000000000 (*.f64 y y))) (+.f64 (*.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) (*.f64 z y)) (*.f64 -11167812716741/40000000000000 y))) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
(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)
(+.f64 x (/.f64 (pow.f64 (cbrt.f64 (*.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) y)) 3) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
(+.f64 x (/.f64 (pow.f64 (sqrt.f64 (*.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) y)) 2) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
(fma.f64 (fma.f64 z (/.f64 (-.f64 94453173760125479739253764129/390625000000000000000000000000 (*.f64 (pow.f64 z 2) 480125098611044764748221188321/100000000000000000000000000000000)) (-.f64 307332350656623/625000000000000 (*.f64 z 692910599291889/10000000000000000))) 11167812716741/40000000000000) (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) x)
(+.f64 x (/.f64 (/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 2) -124720040876201995101661081/1600000000000000000000000000) y) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) -11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
(+.f64 x (pow.f64 (cbrt.f64 (/.f64 y (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)))) 3))
Outputs
(+.f64 x (*.f64 y (/.f64 (+.f64 11167812716741/40000000000000 (+.f64 (*.f64 692910599291889/10000000000000000 (pow.f64 z 2)) (*.f64 307332350656623/625000000000000 z))) (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000))))
(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
Calls

5 calls:

326.0ms
y
97.0ms
(/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000))
71.0ms
x
70.0ms
z
42.0ms
(+.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
84.7%3x
87.1%7y
99.7%3z
99.7%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)))
99.7%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 58 to 44 computations (24.1% saved)

regimes174.0ms (1.3%)

Counts
36 → 3
Calls
Call 1
Inputs
x
(*.f64 279195317918525/3350343815022304 y)
(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
(+.f64 (*.f64 279195317918525/3350343815022304 y) x)
(+.f64 x (*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))))
(+.f64 x (*.f64 y (+.f64 279195317918525/3350343815022304 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z))))
(+.f64 x (*.f64 y (+.f64 -1 (+.f64 10692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)))))
(+.f64 x (-.f64 (*.f64 692910599291889/10000000000000000 y) (*.f64 y (/.f64 -751220861604756070699018739433/10000000000000000000000000000000 z))))
(+.f64 x (-.f64 (*.f64 y 692910599291889/10000000000000000) (/.f64 (*.f64 y -751220861604756070699018739433/10000000000000000000000000000000) z)))
(+.f64 x (/.f64 (*.f64 y 11167812716741/40000000000000) (+.f64 (*.f64 z z) 104698244219447/31250000000000)))
(+.f64 (*.f64 y 692910599291889/10000000000000000) (-.f64 x (*.f64 y (/.f64 -751220861604756070699018739433/10000000000000000000000000000000 z))))
(+.f64 x (*.f64 11167812716741/40000000000000 (/.f64 y (+.f64 104698244219447/31250000000000 (*.f64 z (+.f64 6012459259764103/1000000000000000 z))))))
(+.f64 x (/.f64 (*.f64 y 11167812716741/40000000000000) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
(-.f64 (+.f64 (*.f64 692910599291889/10000000000000000 y) (*.f64 307332350656623/625000000000000 (/.f64 y z))) (*.f64 4166096748901211929300981260567/10000000000000000000000000000000 (/.f64 y z)))
(-.f64 (+.f64 x (+.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 x (/.f64 (+.f64 (*.f64 (*.f64 z 692910599291889/10000000000000000) (*.f64 z y)) (*.f64 11167812716741/40000000000000 y)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
(*.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))))))
(fma.f64 279195317918525/3350343815022304 y x)
(+.f64 x (/.f64 1 (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) (*.f64 y 11167812716741/40000000000000))))
(+.f64 x (*.f64 y (/.f64 (-.f64 480125098611044764748221188321/100000000000000000000000000000000 (pow.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z) 2)) (-.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)))))
(+.f64 x (/.f64 (+.f64 (*.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) (*.f64 z y)) (*.f64 11167812716741/40000000000000 y)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
(+.f64 x (/.f64 (*.f64 y (+.f64 11167812716741/40000000000000 (/.f64 (*.f64 z (-.f64 94453173760125479739253764129/390625000000000000000000000000 (*.f64 480125098611044764748221188321/100000000000000000000000000000000 (pow.f64 z 2)))) (-.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z))))) (+.f64 104698244219447/31250000000000 (*.f64 z (+.f64 6012459259764103/1000000000000000 z)))))
(+.f64 x (/.f64 (+.f64 (*.f64 (/.f64 (-.f64 94453173760125479739253764129/390625000000000000000000000000 (*.f64 (pow.f64 z 2) 480125098611044764748221188321/100000000000000000000000000000000)) (-.f64 307332350656623/625000000000000 (*.f64 z 692910599291889/10000000000000000))) (*.f64 z y)) (*.f64 11167812716741/40000000000000 y)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
(+.f64 x (/.f64 (-.f64 (+.f64 (*.f64 692910599291889/10000000000000000 (*.f64 y (pow.f64 z 2))) (+.f64 (*.f64 31484391253375159913084588043/9022273428279804687500000000 y) (*.f64 z (-.f64 (*.f64 307332350656623/312500000000000 y) (*.f64 307332350656623/625000000000000 y))))) (+.f64 (*.f64 -11167812716741/40000000000000 y) (*.f64 1639105870168656/230970199763963 (-.f64 (*.f64 307332350656623/312500000000000 y) (*.f64 307332350656623/625000000000000 y))))) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
(cbrt.f64 (pow.f64 (*.f64 279195317918525/3350343815022304 y) 3))
(cbrt.f64 (pow.f64 (*.f64 y 279195317918525/3350343815022304) 3))
(pow.f64 (cbrt.f64 (*.f64 279195317918525/3350343815022304 y)) 3)
(pow.f64 (sqrt.f64 (*.f64 279195317918525/3350343815022304 y)) 2)
(+.f64 (cbrt.f64 (*.f64 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000 (pow.f64 y 3))) x)
(+.f64 (pow.f64 (cbrt.f64 (*.f64 692910599291889/10000000000000000 y)) 3) x)
(+.f64 (pow.f64 (sqrt.f64 (*.f64 692910599291889/10000000000000000 y)) 2) x)
(+.f64 x (/.f64 (pow.f64 (cbrt.f64 (*.f64 y 11167812716741/40000000000000)) 3) (+.f64 (*.f64 z z) 104698244219447/31250000000000)))
(+.f64 x (/.f64 (sqrt.f64 (*.f64 124720040876201995101661081/1600000000000000000000000000 (pow.f64 y 2))) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
(+.f64 x (/.f64 (pow.f64 (cbrt.f64 (*.f64 y 11167812716741/40000000000000)) 3) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
(+.f64 x (/.f64 (pow.f64 (sqrt.f64 (*.f64 y 11167812716741/40000000000000)) 2) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
Outputs
(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
(+.f64 x (/.f64 (*.f64 y (+.f64 11167812716741/40000000000000 (/.f64 (*.f64 z (-.f64 94453173760125479739253764129/390625000000000000000000000000 (*.f64 480125098611044764748221188321/100000000000000000000000000000000 (pow.f64 z 2)))) (-.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z))))) (+.f64 104698244219447/31250000000000 (*.f64 z (+.f64 6012459259764103/1000000000000000 z)))))
(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
Calls

3 calls:

74.0ms
(+.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)))
52.0ms
(/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000))
46.0ms
z
Results
AccuracySegmentsBranch
99.6%3z
99.6%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)))
99.6%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 50 to 38 computations (24% saved)

regimes88.0ms (0.7%)

Counts
22 → 3
Calls
Call 1
Inputs
x
(*.f64 279195317918525/3350343815022304 y)
(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
(+.f64 (*.f64 279195317918525/3350343815022304 y) x)
(+.f64 x (*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))))
(+.f64 x (*.f64 y (+.f64 279195317918525/3350343815022304 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z))))
(+.f64 x (*.f64 y (+.f64 -1 (+.f64 10692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)))))
(+.f64 x (-.f64 (*.f64 692910599291889/10000000000000000 y) (*.f64 y (/.f64 -751220861604756070699018739433/10000000000000000000000000000000 z))))
(+.f64 x (-.f64 (*.f64 y 692910599291889/10000000000000000) (/.f64 (*.f64 y -751220861604756070699018739433/10000000000000000000000000000000) z)))
(+.f64 x (/.f64 (*.f64 y 11167812716741/40000000000000) (+.f64 (*.f64 z z) 104698244219447/31250000000000)))
(+.f64 (*.f64 y 692910599291889/10000000000000000) (-.f64 x (*.f64 y (/.f64 -751220861604756070699018739433/10000000000000000000000000000000 z))))
(+.f64 x (*.f64 11167812716741/40000000000000 (/.f64 y (+.f64 104698244219447/31250000000000 (*.f64 z (+.f64 6012459259764103/1000000000000000 z))))))
(+.f64 x (/.f64 (*.f64 y 11167812716741/40000000000000) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
(-.f64 (+.f64 (*.f64 692910599291889/10000000000000000 y) (*.f64 307332350656623/625000000000000 (/.f64 y z))) (*.f64 4166096748901211929300981260567/10000000000000000000000000000000 (/.f64 y z)))
(-.f64 (+.f64 x (+.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 x (/.f64 (+.f64 (*.f64 (*.f64 z 692910599291889/10000000000000000) (*.f64 z y)) (*.f64 11167812716741/40000000000000 y)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
(*.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))))))
(fma.f64 279195317918525/3350343815022304 y x)
(+.f64 x (/.f64 1 (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) (*.f64 y 11167812716741/40000000000000))))
(+.f64 x (*.f64 y (/.f64 (-.f64 480125098611044764748221188321/100000000000000000000000000000000 (pow.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z) 2)) (-.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)))))
(+.f64 x (/.f64 (+.f64 (*.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) (*.f64 z y)) (*.f64 11167812716741/40000000000000 y)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
Outputs
(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
(+.f64 x (/.f64 (+.f64 (*.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) (*.f64 z y)) (*.f64 11167812716741/40000000000000 y)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
(+.f64 x (*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))))
Calls

1 calls:

86.0ms
z
Results
AccuracySegmentsBranch
99.6%3z
Compiler

Compiled 4 to 3 computations (25% saved)

regimes41.0ms (0.3%)

Counts
21 → 3
Calls
Call 1
Inputs
x
(*.f64 279195317918525/3350343815022304 y)
(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
(+.f64 (*.f64 279195317918525/3350343815022304 y) x)
(+.f64 x (*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))))
(+.f64 x (*.f64 y (+.f64 279195317918525/3350343815022304 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z))))
(+.f64 x (*.f64 y (+.f64 -1 (+.f64 10692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)))))
(+.f64 x (-.f64 (*.f64 692910599291889/10000000000000000 y) (*.f64 y (/.f64 -751220861604756070699018739433/10000000000000000000000000000000 z))))
(+.f64 x (-.f64 (*.f64 y 692910599291889/10000000000000000) (/.f64 (*.f64 y -751220861604756070699018739433/10000000000000000000000000000000) z)))
(+.f64 x (/.f64 (*.f64 y 11167812716741/40000000000000) (+.f64 (*.f64 z z) 104698244219447/31250000000000)))
(+.f64 (*.f64 y 692910599291889/10000000000000000) (-.f64 x (*.f64 y (/.f64 -751220861604756070699018739433/10000000000000000000000000000000 z))))
(+.f64 x (*.f64 11167812716741/40000000000000 (/.f64 y (+.f64 104698244219447/31250000000000 (*.f64 z (+.f64 6012459259764103/1000000000000000 z))))))
(+.f64 x (/.f64 (*.f64 y 11167812716741/40000000000000) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
(-.f64 (+.f64 (*.f64 692910599291889/10000000000000000 y) (*.f64 307332350656623/625000000000000 (/.f64 y z))) (*.f64 4166096748901211929300981260567/10000000000000000000000000000000 (/.f64 y z)))
(-.f64 (+.f64 x (+.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 x (/.f64 (+.f64 (*.f64 (*.f64 z 692910599291889/10000000000000000) (*.f64 z y)) (*.f64 11167812716741/40000000000000 y)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
(*.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))))))
(fma.f64 279195317918525/3350343815022304 y x)
(+.f64 x (/.f64 1 (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) (*.f64 y 11167812716741/40000000000000))))
(+.f64 x (*.f64 y (/.f64 (-.f64 480125098611044764748221188321/100000000000000000000000000000000 (pow.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z) 2)) (-.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)))))
Outputs
(+.f64 (*.f64 692910599291889/10000000000000000 y) 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 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))))
Calls

1 calls:

39.0ms
z
Results
AccuracySegmentsBranch
99.6%3z
Compiler

Compiled 4 to 3 computations (25% saved)

regimes24.0ms (0.2%)

Counts
15 → 3
Calls
Call 1
Inputs
x
(*.f64 279195317918525/3350343815022304 y)
(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
(+.f64 (*.f64 279195317918525/3350343815022304 y) x)
(+.f64 x (*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))))
(+.f64 x (*.f64 y (+.f64 279195317918525/3350343815022304 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z))))
(+.f64 x (*.f64 y (+.f64 -1 (+.f64 10692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)))))
(+.f64 x (-.f64 (*.f64 692910599291889/10000000000000000 y) (*.f64 y (/.f64 -751220861604756070699018739433/10000000000000000000000000000000 z))))
(+.f64 x (-.f64 (*.f64 y 692910599291889/10000000000000000) (/.f64 (*.f64 y -751220861604756070699018739433/10000000000000000000000000000000) z)))
(+.f64 x (/.f64 (*.f64 y 11167812716741/40000000000000) (+.f64 (*.f64 z z) 104698244219447/31250000000000)))
(+.f64 (*.f64 y 692910599291889/10000000000000000) (-.f64 x (*.f64 y (/.f64 -751220861604756070699018739433/10000000000000000000000000000000 z))))
(+.f64 x (*.f64 11167812716741/40000000000000 (/.f64 y (+.f64 104698244219447/31250000000000 (*.f64 z (+.f64 6012459259764103/1000000000000000 z))))))
(+.f64 x (/.f64 (*.f64 y 11167812716741/40000000000000) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
(-.f64 (+.f64 (*.f64 692910599291889/10000000000000000 y) (*.f64 307332350656623/625000000000000 (/.f64 y z))) (*.f64 4166096748901211929300981260567/10000000000000000000000000000000 (/.f64 y z)))
(-.f64 (+.f64 x (+.f64 (*.f64 692910599291889/10000000000000000 y) (*.f64 307332350656623/625000000000000 (/.f64 y z)))) (*.f64 4166096748901211929300981260567/10000000000000000000000000000000 (/.f64 y z)))
Outputs
(-.f64 (+.f64 x (+.f64 (*.f64 692910599291889/10000000000000000 y) (*.f64 307332350656623/625000000000000 (/.f64 y z)))) (*.f64 4166096748901211929300981260567/10000000000000000000000000000000 (/.f64 y z)))
(+.f64 x (*.f64 y (+.f64 279195317918525/3350343815022304 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z))))
(+.f64 x (*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))))
Calls

1 calls:

23.0ms
z
Results
AccuracySegmentsBranch
98.8%3z
Compiler

Compiled 4 to 3 computations (25% saved)

regimes23.0ms (0.2%)

Counts
14 → 3
Calls
Call 1
Inputs
x
(*.f64 279195317918525/3350343815022304 y)
(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
(+.f64 (*.f64 279195317918525/3350343815022304 y) x)
(+.f64 x (*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))))
(+.f64 x (*.f64 y (+.f64 279195317918525/3350343815022304 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z))))
(+.f64 x (*.f64 y (+.f64 -1 (+.f64 10692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)))))
(+.f64 x (-.f64 (*.f64 692910599291889/10000000000000000 y) (*.f64 y (/.f64 -751220861604756070699018739433/10000000000000000000000000000000 z))))
(+.f64 x (-.f64 (*.f64 y 692910599291889/10000000000000000) (/.f64 (*.f64 y -751220861604756070699018739433/10000000000000000000000000000000) z)))
(+.f64 x (/.f64 (*.f64 y 11167812716741/40000000000000) (+.f64 (*.f64 z z) 104698244219447/31250000000000)))
(+.f64 (*.f64 y 692910599291889/10000000000000000) (-.f64 x (*.f64 y (/.f64 -751220861604756070699018739433/10000000000000000000000000000000 z))))
(+.f64 x (*.f64 11167812716741/40000000000000 (/.f64 y (+.f64 104698244219447/31250000000000 (*.f64 z (+.f64 6012459259764103/1000000000000000 z))))))
(+.f64 x (/.f64 (*.f64 y 11167812716741/40000000000000) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
(-.f64 (+.f64 (*.f64 692910599291889/10000000000000000 y) (*.f64 307332350656623/625000000000000 (/.f64 y z))) (*.f64 4166096748901211929300981260567/10000000000000000000000000000000 (/.f64 y z)))
Outputs
(+.f64 x (-.f64 (*.f64 692910599291889/10000000000000000 y) (*.f64 y (/.f64 -751220861604756070699018739433/10000000000000000000000000000000 z))))
(+.f64 x (*.f64 y (+.f64 279195317918525/3350343815022304 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z))))
(+.f64 x (*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))))
Calls

1 calls:

22.0ms
z
Results
AccuracySegmentsBranch
98.8%3z
Compiler

Compiled 4 to 3 computations (25% saved)

regimes15.0ms (0.1%)

Counts
7 → 3
Calls
Call 1
Inputs
x
(*.f64 279195317918525/3350343815022304 y)
(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
(+.f64 (*.f64 279195317918525/3350343815022304 y) x)
(+.f64 x (*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))))
(+.f64 x (*.f64 y (+.f64 279195317918525/3350343815022304 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z))))
(+.f64 x (*.f64 y (+.f64 -1 (+.f64 10692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)))))
Outputs
(+.f64 x (*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))))
(+.f64 x (*.f64 y (+.f64 279195317918525/3350343815022304 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z))))
(+.f64 x (*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))))
Calls

1 calls:

14.0ms
z
Results
AccuracySegmentsBranch
98.8%3z
Compiler

Compiled 4 to 3 computations (25% saved)

regimes13.0ms (0.1%)

Counts
5 → 3
Calls
Call 1
Inputs
x
(*.f64 279195317918525/3350343815022304 y)
(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
(+.f64 (*.f64 279195317918525/3350343815022304 y) x)
(+.f64 x (*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))))
Outputs
(+.f64 x (*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))))
(+.f64 (*.f64 279195317918525/3350343815022304 y) x)
(+.f64 x (*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))))
Calls

1 calls:

12.0ms
z
Results
AccuracySegmentsBranch
98.7%3z
Compiler

Compiled 4 to 3 computations (25% saved)

regimes12.0ms (0.1%)

Counts
4 → 3
Calls
Call 1
Inputs
x
(*.f64 279195317918525/3350343815022304 y)
(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
(+.f64 (*.f64 279195317918525/3350343815022304 y) x)
Outputs
(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
(+.f64 (*.f64 279195317918525/3350343815022304 y) x)
(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
Calls

1 calls:

11.0ms
z
Results
AccuracySegmentsBranch
98.3%3z
Compiler

Compiled 4 to 3 computations (25% saved)

regimes32.0ms (0.2%)

Counts
3 → 2
Calls
Call 1
Inputs
x
(*.f64 279195317918525/3350343815022304 y)
(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
Outputs
(*.f64 279195317918525/3350343815022304 y)
(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
Calls

3 calls:

15.0ms
z
10.0ms
x
6.0ms
y
Results
AccuracySegmentsBranch
78.6%2y
78.8%3x
81.9%5z
Compiler

Compiled 12 to 9 computations (25% saved)

regimes91.0ms (0.7%)

Counts
2 → 3
Calls
Call 1
Inputs
x
(*.f64 279195317918525/3350343815022304 y)
Outputs
(*.f64 279195317918525/3350343815022304 y)
x
(*.f64 279195317918525/3350343815022304 y)
Calls

3 calls:

65.0ms
x
17.0ms
z
9.0ms
y
Results
AccuracySegmentsBranch
61.4%3x
56.8%5z
63.6%3y
Compiler

Compiled 12 to 9 computations (25% saved)

regimes8.0ms (0.1%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

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

3 calls:

3.0ms
y
3.0ms
x
3.0ms
z
Results
AccuracySegmentsBranch
48.9%1z
48.9%1x
48.9%1y
Compiler

Compiled 12 to 9 computations (25% saved)

bsearch1.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
4.4921825627851824e+297
+inf
Compiler

Compiled 30 to 23 computations (23.3% saved)

bsearch54.0ms (0.4%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
26.0ms
49175959692540.47
1.0720672079538388e+24
28.0ms
-4.203135738432315e+79
-5.419176123606588e+60
Results
43.0ms304×256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
Compiler

Compiled 870 to 683 computations (21.5% saved)

bsearch136.0ms (1%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
26.0ms
0.4625774355710274
2379816623.575585
110.0ms
-5.419176123606588e+60
-4.7920452920758505e+53
Results
128.0ms288×256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
Compiler

Compiled 735 to 547 computations (25.6% saved)

bsearch51.0ms (0.4%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
26.0ms
0.4625774355710274
2379816623.575585
25.0ms
-5.419176123606588e+60
-4.7920452920758505e+53
Results
42.0ms288×256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
Compiler

Compiled 716 to 547 computations (23.6% saved)

bsearch49.0ms (0.4%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
27.0ms
0.4625774355710274
2379816623.575585
21.0ms
-12.556341359857235
-0.014900725212787676
Results
40.0ms272×256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
Compiler

Compiled 562 to 415 computations (26.2% saved)

bsearch47.0ms (0.4%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
26.0ms
0.4625774355710274
2379816623.575585
21.0ms
-12.556341359857235
-0.014900725212787676
Results
40.0ms272×256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
Compiler

Compiled 514 to 391 computations (23.9% saved)

bsearch46.0ms (0.4%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
25.0ms
0.4625774355710274
2379816623.575585
21.0ms
-12.556341359857235
-0.014900725212787676
Results
39.0ms272×256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
Compiler

Compiled 498 to 383 computations (23.1% saved)

bsearch95.0ms (0.7%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
27.0ms
0.4625774355710274
2379816623.575585
68.0ms
-12.556341359857235
-0.014900725212787676
Results
88.0ms272×256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
Compiler

Compiled 426 to 329 computations (22.8% saved)

bsearch46.0ms (0.4%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
25.0ms
0.4625774355710274
2379816623.575585
21.0ms
-12.556341359857235
-0.014900725212787676
Results
40.0ms272×256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
Compiler

Compiled 354 to 275 computations (22.3% saved)

bsearch26.0ms (0.2%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
26.0ms
-8.473905878708091e+176
-4.07535883004192e+163
Results
20.0ms144×256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
Compiler

Compiled 190 to 153 computations (19.5% saved)

bsearch41.0ms (0.3%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
15.0ms
8.13302205897386e+41
3.8721363714803877e+42
25.0ms
-4.6873977115744265e+138
-5.096725528952128e+128
Results
35.0ms240×256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
Compiler

Compiled 222 to 183 computations (17.6% saved)

simplify87.0ms (0.7%)

Algorithm
egg-herbie
Rules
78×+-commutative
68×*-commutative
34×sub-neg
26×neg-sub0
26×neg-mul-1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01341287
12161287
22581287
32871287
43051287
53111287
63121287
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)) 4999999999999999797831017376714894119127812233696870733560457558998243835015834942700401512775872587353423939115559831572611431741498074611166071691150501229607379410134558461510763529142729843207341692956811227775656913210014077504201792814563184923802875085144633272926482892941009176900625498112) (+.f64 x (*.f64 y (/.f64 (+.f64 11167812716741/40000000000000 (+.f64 (*.f64 692910599291889/10000000000000000 (pow.f64 z 2)) (*.f64 307332350656623/625000000000000 z))) (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000)))) (+.f64 (*.f64 692910599291889/10000000000000000 y) x))
(if (<=.f64 z -5500000000000000078441167310397074032871539922947539497648128) (+.f64 (*.f64 692910599291889/10000000000000000 y) x) (if (<=.f64 z 1600000000000000) (+.f64 x (/.f64 (*.f64 y (+.f64 11167812716741/40000000000000 (/.f64 (*.f64 z (-.f64 94453173760125479739253764129/390625000000000000000000000000 (*.f64 480125098611044764748221188321/100000000000000000000000000000000 (pow.f64 z 2)))) (-.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z))))) (+.f64 104698244219447/31250000000000 (*.f64 z (+.f64 6012459259764103/1000000000000000 z))))) (+.f64 (*.f64 692910599291889/10000000000000000 y) x)))
(if (<=.f64 z -479999999999999996746055363693581428701620052133150720) (+.f64 (*.f64 692910599291889/10000000000000000 y) x) (if (<=.f64 z 196000000) (+.f64 x (/.f64 (+.f64 (*.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) (*.f64 z y)) (*.f64 11167812716741/40000000000000 y)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000))) (+.f64 x (*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))))))
(if (<=.f64 z -479999999999999996746055363693581428701620052133150720) (+.f64 (*.f64 692910599291889/10000000000000000 y) x) (if (<=.f64 z 165000000) (+.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 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))))))
(if (<=.f64 z -3039929748475085/562949953421312) (-.f64 (+.f64 x (+.f64 (*.f64 692910599291889/10000000000000000 y) (*.f64 307332350656623/625000000000000 (/.f64 y z)))) (*.f64 4166096748901211929300981260567/10000000000000000000000000000000 (/.f64 y z))) (if (<=.f64 z 2871044762448691/562949953421312) (+.f64 x (*.f64 y (+.f64 279195317918525/3350343815022304 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z)))) (+.f64 x (*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))))))
(if (<=.f64 z -3039929748475085/562949953421312) (+.f64 x (-.f64 (*.f64 692910599291889/10000000000000000 y) (*.f64 y (/.f64 -751220861604756070699018739433/10000000000000000000000000000000 z)))) (if (<=.f64 z 5) (+.f64 x (*.f64 y (+.f64 279195317918525/3350343815022304 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z)))) (+.f64 x (*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))))))
(if (<=.f64 z -3039929748475085/562949953421312) (+.f64 x (*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)))) (if (<=.f64 z 2871044762448691/562949953421312) (+.f64 x (*.f64 y (+.f64 279195317918525/3350343815022304 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z)))) (+.f64 x (*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))))))
(if (<=.f64 z -3039929748475085/562949953421312) (+.f64 x (*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)))) (if (<=.f64 z 5967269506265907/1125899906842624) (+.f64 (*.f64 279195317918525/3350343815022304 y) x) (+.f64 x (*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))))))
(if (<=.f64 z -3039929748475085/562949953421312) (+.f64 (*.f64 692910599291889/10000000000000000 y) x) (if (<=.f64 z 6) (+.f64 (*.f64 279195317918525/3350343815022304 y) x) (+.f64 (*.f64 692910599291889/10000000000000000 y) x)))
(if (<=.f64 y -819999999999999983613595038984960396929743311208276880986421292366781513519831388357062395269164436299738363614829124203050302575299538394092936500243817401376585991509740879872) (*.f64 279195317918525/3350343815022304 y) (+.f64 (*.f64 692910599291889/10000000000000000 y) x))
(if (<=.f64 y -6800000000000000505029947564137181289887117621948936194640072635022582249781502547305485460668315482878729391938429110145371403714560) (*.f64 279195317918525/3350343815022304 y) (if (<=.f64 y 3600000000000000099691563676804286683021312) x (*.f64 279195317918525/3350343815022304 y)))
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)) 4999999999999999797831017376714894119127812233696870733560457558998243835015834942700401512775872587353423939115559831572611431741498074611166071691150501229607379410134558461510763529142729843207341692956811227775656913210014077504201792814563184923802875085144633272926482892941009176900625498112) (+.f64 x (*.f64 y (/.f64 (+.f64 11167812716741/40000000000000 (+.f64 (*.f64 692910599291889/10000000000000000 (pow.f64 z 2)) (*.f64 307332350656623/625000000000000 z))) (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000)))) (+.f64 (*.f64 692910599291889/10000000000000000 y) x))
(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)) 4999999999999999797831017376714894119127812233696870733560457558998243835015834942700401512775872587353423939115559831572611431741498074611166071691150501229607379410134558461510763529142729843207341692956811227775656913210014077504201792814563184923802875085144633272926482892941009176900625498112) (+.f64 x (*.f64 y (/.f64 (+.f64 11167812716741/40000000000000 (+.f64 (*.f64 692910599291889/10000000000000000 (pow.f64 z 2)) (*.f64 z 307332350656623/625000000000000))) (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000)))) (+.f64 x (*.f64 y 692910599291889/10000000000000000)))
(if (<=.f64 z -5500000000000000078441167310397074032871539922947539497648128) (+.f64 (*.f64 692910599291889/10000000000000000 y) x) (if (<=.f64 z 1600000000000000) (+.f64 x (/.f64 (*.f64 y (+.f64 11167812716741/40000000000000 (/.f64 (*.f64 z (-.f64 94453173760125479739253764129/390625000000000000000000000000 (*.f64 480125098611044764748221188321/100000000000000000000000000000000 (pow.f64 z 2)))) (-.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z))))) (+.f64 104698244219447/31250000000000 (*.f64 z (+.f64 6012459259764103/1000000000000000 z))))) (+.f64 (*.f64 692910599291889/10000000000000000 y) x)))
(if (or (<=.f64 z -5500000000000000078441167310397074032871539922947539497648128) (not (<=.f64 z 1600000000000000))) (+.f64 x (*.f64 y 692910599291889/10000000000000000)) (+.f64 x (/.f64 (*.f64 y (+.f64 11167812716741/40000000000000 (/.f64 (*.f64 z (-.f64 94453173760125479739253764129/390625000000000000000000000000 (*.f64 (pow.f64 z 2) 480125098611044764748221188321/100000000000000000000000000000000))) (-.f64 307332350656623/625000000000000 (*.f64 z 692910599291889/10000000000000000))))) (+.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)) 104698244219447/31250000000000))))
(if (<=.f64 z -479999999999999996746055363693581428701620052133150720) (+.f64 (*.f64 692910599291889/10000000000000000 y) x) (if (<=.f64 z 196000000) (+.f64 x (/.f64 (+.f64 (*.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) (*.f64 z y)) (*.f64 11167812716741/40000000000000 y)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000))) (+.f64 x (*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))))))
(if (<=.f64 z -479999999999999996746055363693581428701620052133150720) (+.f64 x (*.f64 y 692910599291889/10000000000000000)) (if (<=.f64 z 196000000) (+.f64 x (/.f64 (+.f64 (*.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) (*.f64 y z)) (*.f64 y 11167812716741/40000000000000)) (+.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)) 104698244219447/31250000000000))) (+.f64 x (*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))))))
(if (<=.f64 z -479999999999999996746055363693581428701620052133150720) (+.f64 (*.f64 692910599291889/10000000000000000 y) x) (if (<=.f64 z 165000000) (+.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 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))))))
(if (<=.f64 z -479999999999999996746055363693581428701620052133150720) (+.f64 x (*.f64 y 692910599291889/10000000000000000)) (if (<=.f64 z 165000000) (+.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 (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))))))
(if (<=.f64 z -3039929748475085/562949953421312) (-.f64 (+.f64 x (+.f64 (*.f64 692910599291889/10000000000000000 y) (*.f64 307332350656623/625000000000000 (/.f64 y z)))) (*.f64 4166096748901211929300981260567/10000000000000000000000000000000 (/.f64 y z))) (if (<=.f64 z 2871044762448691/562949953421312) (+.f64 x (*.f64 y (+.f64 279195317918525/3350343815022304 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z)))) (+.f64 x (*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))))))
(if (<=.f64 z -3039929748475085/562949953421312) (-.f64 (+.f64 x (+.f64 (*.f64 y 692910599291889/10000000000000000) (*.f64 307332350656623/625000000000000 (/.f64 y z)))) (*.f64 (/.f64 y z) 4166096748901211929300981260567/10000000000000000000000000000000)) (if (<=.f64 z 2871044762448691/562949953421312) (+.f64 x (*.f64 y (+.f64 279195317918525/3350343815022304 (*.f64 z -155900051080628738716045985239/56124018394291031809500087342080)))) (+.f64 x (*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))))))
(if (<=.f64 z -3039929748475085/562949953421312) (+.f64 x (-.f64 (*.f64 692910599291889/10000000000000000 y) (*.f64 y (/.f64 -751220861604756070699018739433/10000000000000000000000000000000 z)))) (if (<=.f64 z 5) (+.f64 x (*.f64 y (+.f64 279195317918525/3350343815022304 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z)))) (+.f64 x (*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))))))
(if (<=.f64 z -3039929748475085/562949953421312) (+.f64 x (-.f64 (*.f64 y 692910599291889/10000000000000000) (*.f64 y (/.f64 -751220861604756070699018739433/10000000000000000000000000000000 z)))) (if (<=.f64 z 5) (+.f64 x (*.f64 y (+.f64 279195317918525/3350343815022304 (*.f64 z -155900051080628738716045985239/56124018394291031809500087342080)))) (+.f64 x (*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))))))
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(if (<=.f64 z -3039929748475085/562949953421312) (+.f64 (*.f64 692910599291889/10000000000000000 y) x) (if (<=.f64 z 6) (+.f64 (*.f64 279195317918525/3350343815022304 y) x) (+.f64 (*.f64 692910599291889/10000000000000000 y) x)))
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(if (<=.f64 y -6800000000000000505029947564137181289887117621948936194640072635022582249781502547305485460668315482878729391938429110145371403714560) (*.f64 279195317918525/3350343815022304 y) (if (<=.f64 y 3600000000000000099691563676804286683021312) x (*.f64 279195317918525/3350343815022304 y)))
(if (or (<=.f64 y -6800000000000000505029947564137181289887117621948936194640072635022582249781502547305485460668315482878729391938429110145371403714560) (not (<=.f64 y 3600000000000000099691563676804286683021312))) (*.f64 y 279195317918525/3350343815022304) x)
x
Compiler

Compiled 390 to 282 computations (27.7% saved)

soundness2.4s (18.5%)

Rules
1620×unsub-neg
1620×unsub-neg
1328×log1p-expm1-u
1328×log1p-expm1-u
1238×fma-define
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
068789
1191737
2497729
31719713
45642713
068789
1191737
2497729
31719713
45642713
087428687
1228728044
087428687
1228728044
087428687
1228728044
087428687
1228728044
087428687
1228728044
033389
1512389
25817389
033389
1512389
25817389
Stop Event
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
Compiler

Compiled 925 to 649 computations (29.8% saved)

end1.0ms (0%)

preprocess222.0ms (1.7%)

Compiler

Compiled 898 to 628 computations (30.1% saved)

Profiling

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