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

Time bar (total: 13.2s)

analyze127.0ms (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)

sample1.4s (10.6%)

Results
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Bogosity

preprocess409.0ms (3.1%)

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
770-0-(/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000))
140-0-(*.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)

eval1.0ms (0%)

Compiler

Compiled 55 to 37 computations (32.7% saved)

prune2.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
70.7%
(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)
69.8%
(+.f64 x (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
72.5%
(+.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)

localize356.0ms (2.7%)

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)
94.8%
(/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))
71.6%
(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)
94.4%
(*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000))
70.7%
(/.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)))
73.3%
(/.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)

series57.0ms (0.4%)

Counts
12 → 216
Calls

54 calls:

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

rewrite421.0ms (3.2%)

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)))
(/.f64 -1 (neg.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))))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 3) 1392850058529705972970166011484436857021/64000000000000000000000000000000000000000) 1) (*.f64 (+.f64 (pow.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 2) (-.f64 124720040876201995101661081/1600000000000000000000000000 (*.f64 z (*.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)))) (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) y)))
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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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(pow.f64 (sqrt.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)) 2)
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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))

simplify319.0ms (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)

eval461.0ms (3.5%)

Compiler

Compiled 15245 to 10887 computations (28.6% saved)

prune155.0ms (1.2%)

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
70.7%
(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)
78.2%
(fma.f64 (fma.f64 z 307332350656623/625000000000000 11167812716741/40000000000000) (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) x)
81.8%
(fma.f64 279195317918525/3350343815022304 y x)
81.8%
(+.f64 (*.f64 279195317918525/3350343815022304 y) x)
78.3%
(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
71.9%
(+.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))
70.5%
(+.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)))
49.5%
(+.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)))
74.6%
(+.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)))
62.2%
(+.f64 x (/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 2) -124720040876201995101661081/1600000000000000000000000000) (/.f64 y (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) -11167812716741/40000000000000))) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
43.7%
(+.f64 x (/.f64 (*.f64 (*.f64 692910599291889/10000000000000000 y) (pow.f64 z 2)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
69.8%
(+.f64 x (/.f64 (*.f64 y (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
38.7%
(+.f64 x (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (pow.f64 (sqrt.f64 (*.f64 z 692910599291889/10000000000000000)) 2) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
69.8%
(+.f64 x (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (pow.f64 (cbrt.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000))) 3) 104698244219447/31250000000000)))
68.0%
(+.f64 x (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 (pow.f64 z 3) 217348396185382961186752534140230541334573920727/1000000000000000000000000000000000000000000000) (/.f64 z (fma.f64 z z (-.f64 36149666350323105395943207394609/1000000000000000000000000000000 (*.f64 z 6012459259764103/1000000000000000))))) 104698244219447/31250000000000)))
69.8%
(+.f64 x (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
77.6%
(+.f64 x (/.f64 (*.f64 y 11167812716741/40000000000000) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
43.7%
(+.f64 x (/.f64 (*.f64 692910599291889/10000000000000000 (*.f64 (pow.f64 z 2) y)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
64.7%
(+.f64 x (-.f64 (*.f64 692910599291889/10000000000000000 y) (*.f64 y (/.f64 -751220861604756070699018739433/10000000000000000000000000000000 z))))
68.8%
(+.f64 x (+.f64 (*.f64 279195317918525/3350343815022304 y) (*.f64 z (-.f64 (*.f64 307332350656623/2093964884388940 y) (*.f64 1678650474502018223880473708075/11224803678858206361900017468416 y)))))
60.8%
(+.f64 x (*.f64 (/.f64 (*.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) y) (+.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))))))
72.5%
(+.f64 x (*.f64 y (/.f64 (fma.f64 (/.f64 (-.f64 94453173760125479739253764129/390625000000000000000000000000 (*.f64 (pow.f64 z 2) 480125098611044764748221188321/100000000000000000000000000000000)) (-.f64 307332350656623/625000000000000 (*.f64 z 692910599291889/10000000000000000))) z 11167812716741/40000000000000) (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000))))
68.8%
(+.f64 x (*.f64 y (+.f64 279195317918525/3350343815022304 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z))))
64.7%
(+.f64 x (*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))))
35.6%
(*.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))))))
52.2%
x
Compiler

Compiled 1122 to 832 computations (25.8% saved)

localize372.0ms (2.8%)

Localize:

Found 13 expressions with local error:

NewAccuracyProgram
99.4%
(*.f64 y (/.f64 (fma.f64 (/.f64 (-.f64 94453173760125479739253764129/390625000000000000000000000000 (*.f64 (pow.f64 z 2) 480125098611044764748221188321/100000000000000000000000000000000)) (-.f64 307332350656623/625000000000000 (*.f64 z 692910599291889/10000000000000000))) z 11167812716741/40000000000000) (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000)))
99.2%
(*.f64 z 692910599291889/10000000000000000)
74.7%
(/.f64 (-.f64 94453173760125479739253764129/390625000000000000000000000000 (*.f64 (pow.f64 z 2) 480125098611044764748221188321/100000000000000000000000000000000)) (-.f64 307332350656623/625000000000000 (*.f64 z 692910599291889/10000000000000000)))
73.3%
(/.f64 (fma.f64 (/.f64 (-.f64 94453173760125479739253764129/390625000000000000000000000000 (*.f64 (pow.f64 z 2) 480125098611044764748221188321/100000000000000000000000000000000)) (-.f64 307332350656623/625000000000000 (*.f64 z 692910599291889/10000000000000000))) z 11167812716741/40000000000000) (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000))
99.7%
(*.f64 (+.f64 z 6012459259764103/1000000000000000) z)
99.6%
(fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)
94.4%
(*.f64 y (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000))
70.7%
(/.f64 (*.f64 y (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000))
100.0%
(+.f64 z 6012459259764103/1000000000000000)
99.7%
(*.f64 (+.f64 z 6012459259764103/1000000000000000) z)
99.1%
(*.f64 y 11167812716741/40000000000000)
94.7%
(/.f64 (*.f64 y 11167812716741/40000000000000) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000))
99.9%
(fma.f64 279195317918525/3350343815022304 y x)
Compiler

Compiled 286 to 206 computations (28% saved)

series44.0ms (0.3%)

Counts
9 → 168
Calls

42 calls:

TimeVariablePointExpression
4.0ms
y
@0
(*.f64 y (/.f64 (fma.f64 (/.f64 (-.f64 94453173760125479739253764129/390625000000000000000000000000 (*.f64 (pow.f64 z 2) 480125098611044764748221188321/100000000000000000000000000000000)) (-.f64 307332350656623/625000000000000 (*.f64 z 692910599291889/10000000000000000))) z 11167812716741/40000000000000) (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000)))
4.0ms
z
@inf
(/.f64 (-.f64 94453173760125479739253764129/390625000000000000000000000000 (*.f64 (pow.f64 z 2) 480125098611044764748221188321/100000000000000000000000000000000)) (-.f64 307332350656623/625000000000000 (*.f64 z 692910599291889/10000000000000000)))
3.0ms
z
@0
(/.f64 (*.f64 y (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000))
2.0ms
x
@0
(fma.f64 279195317918525/3350343815022304 y x)
1.0ms
z
@inf
(/.f64 (*.f64 y 11167812716741/40000000000000) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000))

rewrite132.0ms (1%)

Algorithm
batch-egg-rewrite
Rules
422×associate-*r*
300×associate-*l*
253×log1p-expm1-u
253×expm1-log1p-u
249×add-cube-cbrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
039342
1559280
Stop Event
node limit
Counts
9 → 307
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)
(/.f64 (*.f64 y (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000))
(*.f64 y (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000))
(/.f64 (fma.f64 (/.f64 (-.f64 94453173760125479739253764129/390625000000000000000000000000 (*.f64 (pow.f64 z 2) 480125098611044764748221188321/100000000000000000000000000000000)) (-.f64 307332350656623/625000000000000 (*.f64 z 692910599291889/10000000000000000))) z 11167812716741/40000000000000) (fma.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)))
(*.f64 y (/.f64 (fma.f64 (/.f64 (-.f64 94453173760125479739253764129/390625000000000000000000000000 (*.f64 (pow.f64 z 2) 480125098611044764748221188321/100000000000000000000000000000000)) (-.f64 307332350656623/625000000000000 (*.f64 z 692910599291889/10000000000000000))) z 11167812716741/40000000000000) (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000)))
Outputs
(+.f64 x (*.f64 279195317918525/3350343815022304 y))
(+.f64 (*.f64 279195317918525/3350343815022304 y) x)
(+.f64 (*.f64 (*.f64 279195317918525/3350343815022304 y) 1) x)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 279195317918525/3350343815022304 y x))) 1)
(*.f64 (fma.f64 279195317918525/3350343815022304 y x) 1)
(*.f64 1 (fma.f64 279195317918525/3350343815022304 y x))
(*.f64 (cbrt.f64 (fma.f64 279195317918525/3350343815022304 y x)) (cbrt.f64 (pow.f64 (fma.f64 279195317918525/3350343815022304 y x) 2)))
(*.f64 (cbrt.f64 (pow.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 (*.f64 (*.f64 279195317918525/3350343815022304 y) (*.f64 279195317918525/3350343815022304 y)) (-.f64 (pow.f64 x 2) (*.f64 (*.f64 279195317918525/3350343815022304 y) x))))
(/.f64 (-.f64 (*.f64 (*.f64 279195317918525/3350343815022304 y) (*.f64 279195317918525/3350343815022304 y)) (pow.f64 x 2)) (-.f64 (*.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 11167812716741/40000000000000 (/.f64 y (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 11167812716741/40000000000000 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))
(*.f64 11167812716741/40000000000000 (*.f64 y (/.f64 1 (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 (*.f64 11167812716741/40000000000000 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) 1)
(*.f64 1 (*.f64 11167812716741/40000000000000 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))))
(*.f64 (cbrt.f64 (*.f64 11167812716741/40000000000000 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))) (cbrt.f64 (pow.f64 (*.f64 11167812716741/40000000000000 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 11167812716741/40000000000000 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) 2)) (cbrt.f64 (*.f64 11167812716741/40000000000000 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 y 2) 124720040876201995101661081/1600000000000000000000000000)) (/.f64 (cbrt.f64 (*.f64 y 11167812716741/40000000000000)) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 y 2) 124720040876201995101661081/1600000000000000000000000000)) (*.f64 (cbrt.f64 (*.f64 y 11167812716741/40000000000000)) (/.f64 1 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))))
(*.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) (/.f64 11167812716741/40000000000000 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))))
(*.f64 (sqrt.f64 (*.f64 11167812716741/40000000000000 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))) (sqrt.f64 (*.f64 11167812716741/40000000000000 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))))
(*.f64 (sqrt.f64 (*.f64 y 11167812716741/40000000000000)) (/.f64 (sqrt.f64 (*.f64 y 11167812716741/40000000000000)) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))
(*.f64 (sqrt.f64 (*.f64 y 11167812716741/40000000000000)) (*.f64 (sqrt.f64 (*.f64 y 11167812716741/40000000000000)) (/.f64 1 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))))
(*.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (/.f64 11167812716741/40000000000000 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))))
(*.f64 (*.f64 y -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)) (*.f64 y 11167812716741/40000000000000))
(*.f64 (/.f64 11167812716741/40000000000000 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) y)
(*.f64 (/.f64 y 1) (/.f64 11167812716741/40000000000000 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))
(*.f64 (/.f64 y (pow.f64 (cbrt.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) 2)) (/.f64 11167812716741/40000000000000 (cbrt.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))))
(*.f64 (/.f64 y (sqrt.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) (/.f64 11167812716741/40000000000000 (sqrt.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) 2)) (/.f64 (*.f64 y 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 (*.f64 y 11167812716741/40000000000000) (sqrt.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))))
(*.f64 (/.f64 11167812716741/40000000000000 (sqrt.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) (/.f64 y (sqrt.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))))
(*.f64 (/.f64 11167812716741/40000000000000 (pow.f64 (cbrt.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) 2)) (/.f64 y (cbrt.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))))
(*.f64 (/.f64 (cbrt.f64 (*.f64 (pow.f64 y 2) 124720040876201995101661081/1600000000000000000000000000)) 1) (/.f64 (cbrt.f64 (*.f64 y 11167812716741/40000000000000)) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))
(*.f64 (/.f64 (cbrt.f64 (*.f64 (pow.f64 y 2) 124720040876201995101661081/1600000000000000000000000000)) (pow.f64 (cbrt.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) 2)) (cbrt.f64 (*.f64 11167812716741/40000000000000 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))))
(*.f64 (/.f64 (cbrt.f64 (*.f64 (pow.f64 y 2) 124720040876201995101661081/1600000000000000000000000000)) (sqrt.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) (/.f64 (cbrt.f64 (*.f64 y 11167812716741/40000000000000)) (sqrt.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))))
(*.f64 (/.f64 (sqrt.f64 (*.f64 y 11167812716741/40000000000000)) 1) (/.f64 (sqrt.f64 (*.f64 y 11167812716741/40000000000000)) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))
(*.f64 (/.f64 (sqrt.f64 (*.f64 y 11167812716741/40000000000000)) (pow.f64 (cbrt.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) 2)) (/.f64 (sqrt.f64 (*.f64 y 11167812716741/40000000000000)) (cbrt.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))))
(*.f64 (/.f64 (*.f64 y 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 (*.f64 y 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 11167812716741/40000000000000 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) 1)
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(cbrt.f64 (pow.f64 (*.f64 y (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) 3))
(cbrt.f64 (*.f64 (pow.f64 y 3) (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 (/.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 y 3)))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 y (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 y (/.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 y (/.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 y (/.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 y (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))) 1))

simplify303.0ms (2.3%)

Algorithm
egg-herbie
Rules
1026×associate-*r*
954×associate-*l*
682×fma-define
502×times-frac
498×associate-*r/
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
083621493
1221620427
Stop Event
node limit
Counts
475 → 444
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
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(+.f64 x (*.f64 279195317918525/3350343815022304 y))
x
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(*.f64 11167812716741/40000000000000 y)
(*.f64 11167812716741/40000000000000 y)
(*.f64 11167812716741/40000000000000 y)
(*.f64 11167812716741/40000000000000 y)
(*.f64 11167812716741/40000000000000 y)
(*.f64 11167812716741/40000000000000 y)
(*.f64 11167812716741/40000000000000 y)
(*.f64 11167812716741/40000000000000 y)
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(*.f64 11167812716741/40000000000000 y)
6012459259764103/1000000000000000
(+.f64 6012459259764103/1000000000000000 z)
(+.f64 6012459259764103/1000000000000000 z)
(+.f64 6012459259764103/1000000000000000 z)
z
(+.f64 6012459259764103/1000000000000000 z)
(+.f64 6012459259764103/1000000000000000 z)
(+.f64 6012459259764103/1000000000000000 z)
z
(+.f64 6012459259764103/1000000000000000 z)
(+.f64 6012459259764103/1000000000000000 z)
(+.f64 6012459259764103/1000000000000000 z)
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(/.f64 (*.f64 y (+.f64 11167812716741/40000000000000 (*.f64 z (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z))))) (+.f64 104698244219447/31250000000000 (*.f64 z (+.f64 6012459259764103/1000000000000000 z))))
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(pow.f64 (/.f64 1 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) -1)
(neg.f64 (/.f64 (+.f64 94453173760125479739253764129/390625000000000000000000000000 (*.f64 (pow.f64 z 2) -480125098611044764748221188321/100000000000000000000000000000000)) (+.f64 -307332350656623/625000000000000 (neg.f64 (*.f64 z -692910599291889/10000000000000000)))))
(neg.f64 (/.f64 (+.f64 -94453173760125479739253764129/390625000000000000000000000000 (neg.f64 (*.f64 (pow.f64 z 2) -480125098611044764748221188321/100000000000000000000000000000000))) (+.f64 307332350656623/625000000000000 (*.f64 z -692910599291889/10000000000000000))))
(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))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 94453173760125479739253764129/390625000000000000000000000000 (*.f64 (pow.f64 z 2) -480125098611044764748221188321/100000000000000000000000000000000)) 3) (pow.f64 (+.f64 307332350656623/625000000000000 (*.f64 z -692910599291889/10000000000000000)) 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))
(fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)
(fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000)
(fma.f64 1 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000)
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 z 2) 480125098611044764748221188321/100000000000000000000000000000000)) (cbrt.f64 (*.f64 z 692910599291889/10000000000000000)) 307332350656623/625000000000000)
(fma.f64 (sqrt.f64 (*.f64 z 692910599291889/10000000000000000)) (sqrt.f64 (*.f64 z 692910599291889/10000000000000000)) 307332350656623/625000000000000)
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))))) 1)
(/.f64 y (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)))
(/.f64 (*.f64 y (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))
(/.f64 1 (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) (*.f64 y (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000))))
(/.f64 1 (/.f64 (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) (*.f64 y (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000))) 1))
(/.f64 (*.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (neg.f64 y)) (neg.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))
(/.f64 -1 (neg.f64 (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) (*.f64 y (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)))))
(/.f64 (neg.f64 (*.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (neg.f64 y))) (neg.f64 (neg.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))))
(/.f64 (/.f64 (*.f64 y (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)) (sqrt.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) (sqrt.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))
(/.f64 (/.f64 (*.f64 y (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)) 1) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))
(/.f64 (/.f64 (*.f64 y (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)) (cbrt.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))
(pow.f64 (*.f64 y (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) 1)
(pow.f64 (cbrt.f64 (*.f64 y (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))) 3)
(pow.f64 (pow.f64 (*.f64 y (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 y (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))) 2)
(pow.f64 (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) (*.f64 y (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000))) -1)
(neg.f64 (/.f64 (*.f64 y (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 (*.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (neg.f64 y)) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))
(sqrt.f64 (pow.f64 (*.f64 y (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) 2))
(log.f64 (pow.f64 (exp.f64 y) (/.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 y (/.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 y (/.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 y 3) (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 (/.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 y 3)))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 y (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 y (/.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 y (/.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 y (/.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 y (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))) 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 (*.f64 z (+.f64 6012459259764103/1000000000000000 z)))))
(*.f64 11167812716741/40000000000000 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))
(/.f64 (*.f64 y 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))
(*.f64 11167812716741/40000000000000 (/.f64 y (+.f64 104698244219447/31250000000000 (*.f64 z (+.f64 6012459259764103/1000000000000000 z)))))
(*.f64 11167812716741/40000000000000 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))
(/.f64 (*.f64 y 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))
(*.f64 11167812716741/40000000000000 (/.f64 y (+.f64 104698244219447/31250000000000 (*.f64 z (+.f64 6012459259764103/1000000000000000 z)))))
(*.f64 11167812716741/40000000000000 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))
(/.f64 (*.f64 y 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))
(*.f64 11167812716741/40000000000000 (/.f64 y (+.f64 104698244219447/31250000000000 (*.f64 z (+.f64 6012459259764103/1000000000000000 z)))))
(*.f64 11167812716741/40000000000000 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))
(/.f64 (*.f64 y 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))
(*.f64 11167812716741/40000000000000 (/.f64 y (+.f64 104698244219447/31250000000000 (*.f64 z (+.f64 6012459259764103/1000000000000000 z)))))
(*.f64 11167812716741/40000000000000 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))
(/.f64 (*.f64 y 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))
(*.f64 11167812716741/40000000000000 (/.f64 y (+.f64 104698244219447/31250000000000 (*.f64 z (+.f64 6012459259764103/1000000000000000 z)))))
(*.f64 11167812716741/40000000000000 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))
(/.f64 (*.f64 y 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))
(*.f64 11167812716741/40000000000000 (/.f64 y (+.f64 104698244219447/31250000000000 (*.f64 z (+.f64 6012459259764103/1000000000000000 z)))))
(*.f64 11167812716741/40000000000000 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))
(/.f64 (*.f64 y 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))
(*.f64 11167812716741/40000000000000 (/.f64 y (+.f64 104698244219447/31250000000000 (*.f64 z (+.f64 6012459259764103/1000000000000000 z)))))
(*.f64 11167812716741/40000000000000 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))
(/.f64 (*.f64 y 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))
(*.f64 11167812716741/40000000000000 (/.f64 y (+.f64 104698244219447/31250000000000 (*.f64 z (+.f64 6012459259764103/1000000000000000 z)))))
(*.f64 11167812716741/40000000000000 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))
(/.f64 (*.f64 y 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))
(*.f64 11167812716741/40000000000000 (/.f64 y (+.f64 104698244219447/31250000000000 (*.f64 z (+.f64 6012459259764103/1000000000000000 z)))))
(*.f64 11167812716741/40000000000000 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))
(/.f64 (*.f64 y 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))
(*.f64 11167812716741/40000000000000 (/.f64 y (+.f64 104698244219447/31250000000000 (*.f64 z (+.f64 6012459259764103/1000000000000000 z)))))
(*.f64 11167812716741/40000000000000 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))
(/.f64 (*.f64 y 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))
(*.f64 11167812716741/40000000000000 (/.f64 y (+.f64 104698244219447/31250000000000 (*.f64 z (+.f64 6012459259764103/1000000000000000 z)))))
(*.f64 11167812716741/40000000000000 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))
(/.f64 (*.f64 y 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))
(*.f64 279195317918525/3350343815022304 y)
(+.f64 (*.f64 -1678650474502018223880473708075/11224803678858206361900017468416 (*.f64 y z)) (*.f64 279195317918525/3350343815022304 y))
(fma.f64 -1678650474502018223880473708075/11224803678858206361900017468416 (*.f64 y z) (*.f64 279195317918525/3350343815022304 y))
(fma.f64 279195317918525/3350343815022304 y (*.f64 y (*.f64 z -1678650474502018223880473708075/11224803678858206361900017468416)))
(+.f64 (*.f64 -11167812716741/40000000000000 (*.f64 (pow.f64 z 2) (+.f64 (*.f64 -1103200267038668987913305889728057861328125/1147673082894964476557575335949564252827623 y) (*.f64 976562500000000000000000000/10961722342634967150292985809 y)))) (+.f64 (*.f64 -1678650474502018223880473708075/11224803678858206361900017468416 (*.f64 y z)) (*.f64 279195317918525/3350343815022304 y)))
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(*.f64 y (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 y (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)))
(*.f64 y (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))
(expm1.f64 (log1p.f64 (*.f64 y (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))))
(log1p.f64 (expm1.f64 (*.f64 y (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))))
(*.f64 y (/.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 y (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))))
(*.f64 y (/.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 y (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))) 1))
(*.f64 y (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))

eval451.0ms (3.4%)

Compiler

Compiled 16654 to 12092 computations (27.4% saved)

prune159.0ms (1.2%)

Pruning

27 alts after pruning (23 fresh and 4 done)

PrunedKeptTotal
New69710707
Fresh71320
Picked235
Done011
Total70627733
Accuracy
99.9%
Counts
733 → 27
Alt Table
Click to see full alt table
StatusAccuracyProgram
70.7%
(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)
81.8%
(fma.f64 279195317918525/3350343815022304 y x)
39.6%
(pow.f64 (sqrt.f64 (fma.f64 279195317918525/3350343815022304 y x)) 2)
45.4%
(/.f64 (-.f64 (*.f64 77950025547626246938538175625/11224803678858206361900017468416 (pow.f64 y 2)) (pow.f64 x 2)) (-.f64 (*.f64 279195317918525/3350343815022304 y) x))
81.8%
(+.f64 (*.f64 279195317918525/3350343815022304 y) x)
78.3%
(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
71.9%
(+.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))
70.5%
(+.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)))
74.6%
(+.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)))
43.7%
(+.f64 x (/.f64 (*.f64 (pow.f64 z 2) (*.f64 y 692910599291889/10000000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
69.8%
(+.f64 x (/.f64 (*.f64 y (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
38.7%
(+.f64 x (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (pow.f64 (sqrt.f64 (*.f64 z 692910599291889/10000000000000000)) 2) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
69.8%
(+.f64 x (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (pow.f64 (cbrt.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000))) 3) 104698244219447/31250000000000)))
68.0%
(+.f64 x (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 (pow.f64 z 3) 217348396185382961186752534140230541334573920727/1000000000000000000000000000000000000000000000) (/.f64 z (fma.f64 z z (-.f64 36149666350323105395943207394609/1000000000000000000000000000000 (*.f64 z 6012459259764103/1000000000000000))))) 104698244219447/31250000000000)))
69.8%
(+.f64 x (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
77.8%
(+.f64 x (/.f64 (*.f64 y 11167812716741/40000000000000) (+.f64 (*.f64 z z) 104698244219447/31250000000000)))
43.7%
(+.f64 x (/.f64 (*.f64 692910599291889/10000000000000000 (*.f64 (pow.f64 z 2) y)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
77.7%
(+.f64 x (/.f64 1 (*.f64 40000000000000/11167812716741 (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) y))))
64.7%
(+.f64 x (-.f64 (*.f64 y 692910599291889/10000000000000000) (/.f64 (*.f64 y -751220861604756070699018739433/10000000000000000000000000000000) z)))
68.8%
(+.f64 x (+.f64 (*.f64 279195317918525/3350343815022304 y) (*.f64 z (-.f64 (*.f64 307332350656623/2093964884388940 y) (*.f64 1678650474502018223880473708075/11224803678858206361900017468416 y)))))
72.5%
(+.f64 x (*.f64 y (/.f64 (+.f64 11167812716741/40000000000000 (*.f64 z (/.f64 (+.f64 94453173760125479739253764129/390625000000000000000000000000 (*.f64 (pow.f64 z 2) -480125098611044764748221188321/100000000000000000000000000000000)) (+.f64 307332350656623/625000000000000 (*.f64 z -692910599291889/10000000000000000))))) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))))
68.8%
(+.f64 x (*.f64 y (+.f64 279195317918525/3350343815022304 (*.f64 z -155900051080628738716045985239/56124018394291031809500087342080))))
64.7%
(+.f64 x (*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))))
77.6%
(+.f64 x (*.f64 11167812716741/40000000000000 (/.f64 y (+.f64 104698244219447/31250000000000 (*.f64 z (+.f64 6012459259764103/1000000000000000 z))))))
35.6%
(*.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))))))
32.3%
(*.f64 279195317918525/3350343815022304 y)
52.2%
x
Compiler

Compiled 945 to 712 computations (24.7% saved)

localize354.0ms (2.7%)

Localize:

Found 12 expressions with local error:

NewAccuracyProgram
99.6%
(*.f64 z 692910599291889/10000000000000000)
99.5%
(pow.f64 (sqrt.f64 (*.f64 z 692910599291889/10000000000000000)) 2)
97.2%
(*.f64 y (+.f64 (*.f64 (+.f64 (pow.f64 (sqrt.f64 (*.f64 z 692910599291889/10000000000000000)) 2) 307332350656623/625000000000000) z) 11167812716741/40000000000000))
82.1%
(/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (pow.f64 (sqrt.f64 (*.f64 z 692910599291889/10000000000000000)) 2) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000))
99.9%
(*.f64 (+.f64 z 6012459259764103/1000000000000000) z)
99.8%
(*.f64 692910599291889/10000000000000000 (*.f64 (pow.f64 z 2) y))
94.6%
(*.f64 (pow.f64 z 2) y)
82.1%
(/.f64 (*.f64 692910599291889/10000000000000000 (*.f64 (pow.f64 z 2) y)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000))
99.5%
(*.f64 y 11167812716741/40000000000000)
96.3%
(/.f64 (*.f64 y 11167812716741/40000000000000) (+.f64 (*.f64 z z) 104698244219447/31250000000000))
99.8%
(*.f64 279195317918525/3350343815022304 y)
99.8%
(*.f64 279195317918525/3350343815022304 y)
Compiler

Compiled 252 to 175 computations (30.6% saved)

series46.0ms (0.3%)

Counts
9 → 132
Calls

45 calls:

TimeVariablePointExpression
3.0ms
y
@0
(/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (pow.f64 (sqrt.f64 (*.f64 z 692910599291889/10000000000000000)) 2) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000))
2.0ms
y
@-inf
(/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (pow.f64 (sqrt.f64 (*.f64 z 692910599291889/10000000000000000)) 2) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000))
2.0ms
y
@inf
(/.f64 (*.f64 692910599291889/10000000000000000 (*.f64 (pow.f64 z 2) y)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000))
2.0ms
y
@-inf
(*.f64 279195317918525/3350343815022304 y)
2.0ms
z
@-inf
(/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (pow.f64 (sqrt.f64 (*.f64 z 692910599291889/10000000000000000)) 2) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000))

rewrite257.0ms (1.9%)

Algorithm
batch-egg-rewrite
Rules
1902×prod-diff
430×associate-*r*
330×associate-*l*
233×log1p-expm1-u
233×expm1-log1p-u
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
035253
1545245
27501245
Stop Event
node limit
Counts
9 → 259
Calls
Call 1
Inputs
(*.f64 279195317918525/3350343815022304 y)
(*.f64 279195317918525/3350343815022304 y)
(/.f64 (*.f64 y 11167812716741/40000000000000) (+.f64 (*.f64 z z) 104698244219447/31250000000000))
(/.f64 (*.f64 692910599291889/10000000000000000 (*.f64 (pow.f64 z 2) y)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000))
(*.f64 (pow.f64 z 2) y)
(*.f64 692910599291889/10000000000000000 (*.f64 (pow.f64 z 2) y))
(/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (pow.f64 (sqrt.f64 (*.f64 z 692910599291889/10000000000000000)) 2) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000))
(*.f64 y (+.f64 (*.f64 (+.f64 (pow.f64 (sqrt.f64 (*.f64 z 692910599291889/10000000000000000)) 2) 307332350656623/625000000000000) z) 11167812716741/40000000000000))
(pow.f64 (sqrt.f64 (*.f64 z 692910599291889/10000000000000000)) 2)
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 (*.f64 (pow.f64 y 2) 77950025547626246938538175625/11224803678858206361900017468416))
(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 (*.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 (*.f64 (pow.f64 y 2) 77950025547626246938538175625/11224803678858206361900017468416))
(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 (*.f64 11167812716741/40000000000000 (/.f64 y (fma.f64 z z 104698244219447/31250000000000))))) 1)
(*.f64 y (/.f64 11167812716741/40000000000000 (fma.f64 z z 104698244219447/31250000000000)))
(*.f64 11167812716741/40000000000000 (/.f64 y (fma.f64 z z 104698244219447/31250000000000)))
(*.f64 11167812716741/40000000000000 (*.f64 y (/.f64 1 (fma.f64 z z 104698244219447/31250000000000))))
(*.f64 (*.f64 y 11167812716741/40000000000000) (/.f64 1 (fma.f64 z z 104698244219447/31250000000000)))
(*.f64 (*.f64 11167812716741/40000000000000 (/.f64 y (fma.f64 z z 104698244219447/31250000000000))) 1)
(*.f64 1 (*.f64 11167812716741/40000000000000 (/.f64 y (fma.f64 z z 104698244219447/31250000000000))))
(*.f64 (cbrt.f64 (*.f64 11167812716741/40000000000000 (/.f64 y (fma.f64 z z 104698244219447/31250000000000)))) (pow.f64 (cbrt.f64 (*.f64 11167812716741/40000000000000 (/.f64 y (fma.f64 z z 104698244219447/31250000000000)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 11167812716741/40000000000000 (/.f64 y (fma.f64 z z 104698244219447/31250000000000)))) 2) (cbrt.f64 (*.f64 11167812716741/40000000000000 (/.f64 y (fma.f64 z z 104698244219447/31250000000000)))))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 y 2) 124720040876201995101661081/1600000000000000000000000000)) (/.f64 (cbrt.f64 (*.f64 y 11167812716741/40000000000000)) (fma.f64 z z 104698244219447/31250000000000)))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 y 2) 124720040876201995101661081/1600000000000000000000000000)) (*.f64 (cbrt.f64 (*.f64 y 11167812716741/40000000000000)) (/.f64 1 (fma.f64 z z 104698244219447/31250000000000))))
(*.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) (/.f64 11167812716741/40000000000000 (fma.f64 z z 104698244219447/31250000000000))))
(*.f64 (sqrt.f64 (*.f64 11167812716741/40000000000000 (/.f64 y (fma.f64 z z 104698244219447/31250000000000)))) (sqrt.f64 (*.f64 11167812716741/40000000000000 (/.f64 y (fma.f64 z z 104698244219447/31250000000000)))))
(*.f64 (sqrt.f64 (*.f64 y 11167812716741/40000000000000)) (/.f64 (sqrt.f64 (*.f64 y 11167812716741/40000000000000)) (fma.f64 z z 104698244219447/31250000000000)))
(*.f64 (sqrt.f64 (*.f64 y 11167812716741/40000000000000)) (*.f64 (sqrt.f64 (*.f64 y 11167812716741/40000000000000)) (/.f64 1 (fma.f64 z z 104698244219447/31250000000000))))
(*.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (/.f64 11167812716741/40000000000000 (fma.f64 z z 104698244219447/31250000000000))))
(*.f64 (*.f64 y -11167812716741/40000000000000) (/.f64 1 (neg.f64 (fma.f64 z z 104698244219447/31250000000000))))
(*.f64 (/.f64 1 (fma.f64 z z 104698244219447/31250000000000)) (*.f64 y 11167812716741/40000000000000))
(*.f64 (/.f64 11167812716741/40000000000000 (fma.f64 z z 104698244219447/31250000000000)) y)
(*.f64 (/.f64 y 1) (/.f64 11167812716741/40000000000000 (fma.f64 z z 104698244219447/31250000000000)))
(*.f64 (/.f64 y (pow.f64 (cbrt.f64 (fma.f64 z z 104698244219447/31250000000000)) 2)) (/.f64 11167812716741/40000000000000 (cbrt.f64 (fma.f64 z z 104698244219447/31250000000000))))
(*.f64 (/.f64 y (sqrt.f64 (fma.f64 z z 104698244219447/31250000000000))) (/.f64 11167812716741/40000000000000 (sqrt.f64 (fma.f64 z z 104698244219447/31250000000000))))
(*.f64 (/.f64 11167812716741/40000000000000 (sqrt.f64 (fma.f64 z z 104698244219447/31250000000000))) (/.f64 y (sqrt.f64 (fma.f64 z z 104698244219447/31250000000000))))
(*.f64 (/.f64 11167812716741/40000000000000 (pow.f64 (cbrt.f64 (fma.f64 z z 104698244219447/31250000000000)) 2)) (/.f64 y (cbrt.f64 (fma.f64 z z 104698244219447/31250000000000))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 z z 104698244219447/31250000000000)) 2)) (/.f64 (*.f64 y 11167812716741/40000000000000) (cbrt.f64 (fma.f64 z z 104698244219447/31250000000000))))
(*.f64 (/.f64 1 (sqrt.f64 (fma.f64 z z 104698244219447/31250000000000))) (/.f64 (*.f64 y 11167812716741/40000000000000) (sqrt.f64 (fma.f64 z z 104698244219447/31250000000000))))
(*.f64 (/.f64 (cbrt.f64 (*.f64 (pow.f64 y 2) 124720040876201995101661081/1600000000000000000000000000)) 1) (/.f64 (cbrt.f64 (*.f64 y 11167812716741/40000000000000)) (fma.f64 z z 104698244219447/31250000000000)))
(*.f64 (/.f64 (cbrt.f64 (*.f64 (pow.f64 y 2) 124720040876201995101661081/1600000000000000000000000000)) (pow.f64 (cbrt.f64 (fma.f64 z z 104698244219447/31250000000000)) 2)) (cbrt.f64 (*.f64 11167812716741/40000000000000 (/.f64 y (fma.f64 z z 104698244219447/31250000000000)))))
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(pow.f64 (pow.f64 (*.f64 y (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 y (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000))) 2)
(sqrt.f64 (pow.f64 (*.f64 y (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)) 2))
(log.f64 (pow.f64 (exp.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)) y))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 y (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)))))
(cbrt.f64 (pow.f64 (*.f64 y (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)) 3))
(cbrt.f64 (*.f64 (pow.f64 y 3) (pow.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) 3)))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) 3) (pow.f64 y 3)))
(expm1.f64 (log1p.f64 (*.f64 y (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000))))
(log1p.f64 (expm1.f64 (*.f64 y (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000))))
(exp.f64 (log.f64 (*.f64 y (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000))))
(exp.f64 (*.f64 (log.f64 (*.f64 y (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000))) 1))
(fma.f64 y (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) (*.f64 y 11167812716741/40000000000000))
(fma.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) y (*.f64 y 11167812716741/40000000000000))
(-.f64 (exp.f64 (log1p.f64 (*.f64 z 692910599291889/10000000000000000))) 1)
(*.f64 z 692910599291889/10000000000000000)
(*.f64 z (pow.f64 (sqrt.f64 692910599291889/10000000000000000) 2))
(*.f64 z (*.f64 (sqrt.f64 692910599291889/10000000000000000) (sqrt.f64 692910599291889/10000000000000000)))
(*.f64 692910599291889/10000000000000000 z)
(*.f64 (sqrt.f64 (*.f64 z 692910599291889/10000000000000000)) (sqrt.f64 (*.f64 z 692910599291889/10000000000000000)))
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(*.f64 (cbrt.f64 (*.f64 z 692910599291889/10000000000000000)) (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 z 692910599291889/10000000000000000))) (sqrt.f64 (*.f64 z 692910599291889/10000000000000000))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 z 692910599291889/10000000000000000)) 2) (cbrt.f64 (*.f64 z 692910599291889/10000000000000000)))
(*.f64 (pow.f64 (cbrt.f64 z) 2) (*.f64 (cbrt.f64 z) 692910599291889/10000000000000000))
(*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) 692910599291889/10000000000000000))
(*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 692910599291889/10000000000000000) (sqrt.f64 (*.f64 z 692910599291889/10000000000000000))))
(*.f64 (pow.f64 (*.f64 z 692910599291889/10000000000000000) 1/4) (*.f64 (pow.f64 (*.f64 z 692910599291889/10000000000000000) 1/4) (sqrt.f64 (*.f64 z 692910599291889/10000000000000000))))
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(*.f64 (*.f64 (sqrt.f64 (*.f64 z 692910599291889/10000000000000000)) (sqrt.f64 z)) (sqrt.f64 692910599291889/10000000000000000))
(sqrt.f64 (*.f64 (pow.f64 z 2) 480125098611044764748221188321/100000000000000000000000000000000))
(log.f64 (pow.f64 (exp.f64 z) 692910599291889/10000000000000000))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 z 692910599291889/10000000000000000))))
(cbrt.f64 (*.f64 (pow.f64 z 3) 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000))
(expm1.f64 (log1p.f64 (*.f64 z 692910599291889/10000000000000000)))
(log1p.f64 (expm1.f64 (*.f64 z 692910599291889/10000000000000000)))
(exp.f64 (log.f64 (*.f64 z 692910599291889/10000000000000000)))
(exp.f64 (*.f64 (log.f64 (*.f64 z 692910599291889/10000000000000000)) 1))

simplify197.0ms (1.5%)

Algorithm
egg-herbie
Rules
1200×associate-*r*
1172×associate-*l*
590×fma-define
560×associate-/l*
440×associate-*r/
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
072816835
1203316540
Stop Event
node limit
Counts
391 → 378
Calls
Call 1
Inputs
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(*.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))))
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(*.f64 (*.f64 (sqrt.f64 (*.f64 z 692910599291889/10000000000000000)) (sqrt.f64 z)) (sqrt.f64 692910599291889/10000000000000000))
(sqrt.f64 (*.f64 (pow.f64 z 2) 480125098611044764748221188321/100000000000000000000000000000000))
(log.f64 (pow.f64 (exp.f64 z) 692910599291889/10000000000000000))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 z 692910599291889/10000000000000000))))
(cbrt.f64 (*.f64 (pow.f64 z 3) 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000))
(expm1.f64 (log1p.f64 (*.f64 z 692910599291889/10000000000000000)))
(log1p.f64 (expm1.f64 (*.f64 z 692910599291889/10000000000000000)))
(exp.f64 (log.f64 (*.f64 z 692910599291889/10000000000000000)))
(exp.f64 (*.f64 (log.f64 (*.f64 z 692910599291889/10000000000000000)) 1))
Outputs
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(*.f64 11167812716741/40000000000000 (/.f64 y (fma.f64 z z 104698244219447/31250000000000)))
(/.f64 (*.f64 11167812716741/40000000000000 y) (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 (*.f64 11167812716741/40000000000000 y) (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 (*.f64 11167812716741/40000000000000 y) (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 (*.f64 11167812716741/40000000000000 y) (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 (*.f64 11167812716741/40000000000000 y) (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 (*.f64 11167812716741/40000000000000 y) (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 (*.f64 11167812716741/40000000000000 y) (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 (*.f64 11167812716741/40000000000000 y) (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 (*.f64 11167812716741/40000000000000 y) (fma.f64 z z 104698244219447/31250000000000))
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(*.f64 11167812716741/40000000000000 (/.f64 y (fma.f64 z z 104698244219447/31250000000000)))
(/.f64 (*.f64 11167812716741/40000000000000 y) (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 (*.f64 11167812716741/40000000000000 y) (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 (*.f64 11167812716741/40000000000000 y) (fma.f64 z z 104698244219447/31250000000000))
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(*.f64 11167812716741/40000000000000 (/.f64 y (pow.f64 z 2)))
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(*.f64 y (/.f64 11167812716741/40000000000000 (pow.f64 z 2)))
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(*.f64 692910599291889/33503438150223040 (*.f64 y (pow.f64 z 2)))
(*.f64 (*.f64 y (pow.f64 z 2)) 692910599291889/33503438150223040)
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(log1p.f64 (expm1.f64 (*.f64 y (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000))))
(*.f64 y (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000))
(exp.f64 (log.f64 (*.f64 y (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000))))
(*.f64 y (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000))
(exp.f64 (*.f64 (log.f64 (*.f64 y (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000))) 1))
(*.f64 y (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000))
(fma.f64 y (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) (*.f64 y 11167812716741/40000000000000))
(*.f64 y (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000))
(fma.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) y (*.f64 y 11167812716741/40000000000000))
(*.f64 y (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000))
(-.f64 (exp.f64 (log1p.f64 (*.f64 z 692910599291889/10000000000000000))) 1)
(expm1.f64 (log1p.f64 (*.f64 z 692910599291889/10000000000000000)))
(*.f64 z 692910599291889/10000000000000000)
(*.f64 z (pow.f64 (sqrt.f64 692910599291889/10000000000000000) 2))
(*.f64 z 692910599291889/10000000000000000)
(*.f64 z (*.f64 (sqrt.f64 692910599291889/10000000000000000) (sqrt.f64 692910599291889/10000000000000000)))
(*.f64 z 692910599291889/10000000000000000)
(*.f64 692910599291889/10000000000000000 z)
(*.f64 z 692910599291889/10000000000000000)
(*.f64 (sqrt.f64 (*.f64 z 692910599291889/10000000000000000)) (sqrt.f64 (*.f64 z 692910599291889/10000000000000000)))
(*.f64 z 692910599291889/10000000000000000)
(*.f64 (*.f64 z 692910599291889/10000000000000000) 1)
(*.f64 z 692910599291889/10000000000000000)
(*.f64 1 (*.f64 z 692910599291889/10000000000000000))
(*.f64 z 692910599291889/10000000000000000)
(*.f64 (cbrt.f64 (*.f64 z 692910599291889/10000000000000000)) (pow.f64 (cbrt.f64 (*.f64 z 692910599291889/10000000000000000)) 2))
(*.f64 z 692910599291889/10000000000000000)
(*.f64 (cbrt.f64 (*.f64 z 692910599291889/10000000000000000)) (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 z 692910599291889/10000000000000000))) (sqrt.f64 (*.f64 z 692910599291889/10000000000000000))))
(*.f64 (cbrt.f64 (*.f64 z 692910599291889/10000000000000000)) (*.f64 (sqrt.f64 (*.f64 z 692910599291889/10000000000000000)) (cbrt.f64 (sqrt.f64 (*.f64 z 692910599291889/10000000000000000)))))
(*.f64 (cbrt.f64 (sqrt.f64 (*.f64 z 692910599291889/10000000000000000))) (*.f64 (sqrt.f64 (*.f64 z 692910599291889/10000000000000000)) (cbrt.f64 (*.f64 z 692910599291889/10000000000000000))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 z 692910599291889/10000000000000000)) 2) (cbrt.f64 (*.f64 z 692910599291889/10000000000000000)))
(*.f64 z 692910599291889/10000000000000000)
(*.f64 (pow.f64 (cbrt.f64 z) 2) (*.f64 (cbrt.f64 z) 692910599291889/10000000000000000))
(*.f64 z 692910599291889/10000000000000000)
(*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) 692910599291889/10000000000000000))
(*.f64 z 692910599291889/10000000000000000)
(*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 692910599291889/10000000000000000) (sqrt.f64 (*.f64 z 692910599291889/10000000000000000))))
(*.f64 (sqrt.f64 692910599291889/10000000000000000) (*.f64 (sqrt.f64 (*.f64 z 692910599291889/10000000000000000)) (sqrt.f64 z)))
(*.f64 (pow.f64 (*.f64 z 692910599291889/10000000000000000) 1/4) (*.f64 (pow.f64 (*.f64 z 692910599291889/10000000000000000) 1/4) (sqrt.f64 (*.f64 z 692910599291889/10000000000000000))))
(*.f64 (sqrt.f64 (*.f64 z 692910599291889/10000000000000000)) (*.f64 (pow.f64 (*.f64 z 692910599291889/10000000000000000) 1/4) (pow.f64 (*.f64 z 692910599291889/10000000000000000) 1/4)))
(*.f64 (sqrt.f64 (*.f64 z 692910599291889/10000000000000000)) (pow.f64 (*.f64 z 692910599291889/10000000000000000) 1/2))
(*.f64 (*.f64 (sqrt.f64 (*.f64 z 692910599291889/10000000000000000)) (pow.f64 (*.f64 z 692910599291889/10000000000000000) 1/4)) (pow.f64 (*.f64 z 692910599291889/10000000000000000) 1/4))
(*.f64 (sqrt.f64 (*.f64 z 692910599291889/10000000000000000)) (*.f64 (pow.f64 (*.f64 z 692910599291889/10000000000000000) 1/4) (pow.f64 (*.f64 z 692910599291889/10000000000000000) 1/4)))
(*.f64 (sqrt.f64 (*.f64 z 692910599291889/10000000000000000)) (pow.f64 (*.f64 z 692910599291889/10000000000000000) 1/2))
(*.f64 (*.f64 692910599291889/10000000000000000 (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z))
(*.f64 z 692910599291889/10000000000000000)
(*.f64 (*.f64 692910599291889/10000000000000000 (sqrt.f64 z)) (sqrt.f64 z))
(*.f64 z 692910599291889/10000000000000000)
(*.f64 (*.f64 (sqrt.f64 (*.f64 z 692910599291889/10000000000000000)) (cbrt.f64 (*.f64 z 692910599291889/10000000000000000))) (cbrt.f64 (sqrt.f64 (*.f64 z 692910599291889/10000000000000000))))
(*.f64 (cbrt.f64 (*.f64 z 692910599291889/10000000000000000)) (*.f64 (sqrt.f64 (*.f64 z 692910599291889/10000000000000000)) (cbrt.f64 (sqrt.f64 (*.f64 z 692910599291889/10000000000000000)))))
(*.f64 (cbrt.f64 (sqrt.f64 (*.f64 z 692910599291889/10000000000000000))) (*.f64 (sqrt.f64 (*.f64 z 692910599291889/10000000000000000)) (cbrt.f64 (*.f64 z 692910599291889/10000000000000000))))
(*.f64 (*.f64 (sqrt.f64 (*.f64 z 692910599291889/10000000000000000)) (sqrt.f64 z)) (sqrt.f64 692910599291889/10000000000000000))
(*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 692910599291889/10000000000000000) (sqrt.f64 (*.f64 z 692910599291889/10000000000000000))))
(*.f64 (sqrt.f64 692910599291889/10000000000000000) (*.f64 (sqrt.f64 (*.f64 z 692910599291889/10000000000000000)) (sqrt.f64 z)))
(sqrt.f64 (*.f64 (pow.f64 z 2) 480125098611044764748221188321/100000000000000000000000000000000))
(log.f64 (pow.f64 (exp.f64 z) 692910599291889/10000000000000000))
(*.f64 z 692910599291889/10000000000000000)
(log.f64 (+.f64 1 (expm1.f64 (*.f64 z 692910599291889/10000000000000000))))
(*.f64 z 692910599291889/10000000000000000)
(cbrt.f64 (*.f64 (pow.f64 z 3) 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000))
(expm1.f64 (log1p.f64 (*.f64 z 692910599291889/10000000000000000)))
(log1p.f64 (expm1.f64 (*.f64 z 692910599291889/10000000000000000)))
(*.f64 z 692910599291889/10000000000000000)
(exp.f64 (log.f64 (*.f64 z 692910599291889/10000000000000000)))
(*.f64 z 692910599291889/10000000000000000)
(exp.f64 (*.f64 (log.f64 (*.f64 z 692910599291889/10000000000000000)) 1))
(*.f64 z 692910599291889/10000000000000000)

eval229.0ms (1.7%)

Compiler

Compiled 10614 to 7685 computations (27.6% saved)

prune162.0ms (1.2%)

Pruning

25 alts after pruning (18 fresh and 7 done)

PrunedKeptTotal
New4697476
Fresh71118
Picked235
Done044
Total47825503
Accuracy
99.9%
Counts
503 → 25
Alt Table
Click to see full alt table
StatusAccuracyProgram
70.7%
(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)
81.8%
(fma.f64 279195317918525/3350343815022304 y x)
14.3%
(pow.f64 (sqrt.f64 (*.f64 279195317918525/3350343815022304 y)) 2)
81.8%
(+.f64 (*.f64 279195317918525/3350343815022304 y) x)
78.3%
(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
71.9%
(+.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))
43.7%
(+.f64 x (/.f64 (*.f64 (pow.f64 z 2) (*.f64 y 692910599291889/10000000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
48.6%
(+.f64 x (/.f64 (*.f64 z (*.f64 y (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000))) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
69.8%
(+.f64 x (/.f64 (*.f64 y (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
69.8%
(+.f64 x (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
43.7%
(+.f64 x (/.f64 (*.f64 y (*.f64 (pow.f64 z 2) 692910599291889/10000000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
77.8%
(+.f64 x (/.f64 (*.f64 y 11167812716741/40000000000000) (+.f64 (*.f64 z z) 104698244219447/31250000000000)))
77.7%
(+.f64 x (/.f64 1 (*.f64 40000000000000/11167812716741 (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) y))))
43.7%
(+.f64 x (/.f64 692910599291889/10000000000000000 (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) (*.f64 y (pow.f64 z 2)))))
64.7%
(+.f64 x (-.f64 (*.f64 y 692910599291889/10000000000000000) (/.f64 (*.f64 y -751220861604756070699018739433/10000000000000000000000000000000) z)))
68.8%
(+.f64 x (+.f64 (*.f64 279195317918525/3350343815022304 y) (*.f64 z (-.f64 (*.f64 307332350656623/2093964884388940 y) (*.f64 1678650474502018223880473708075/11224803678858206361900017468416 y)))))
44.6%
(+.f64 x (*.f64 (*.f64 (pow.f64 z 2) 692910599291889/10000000000000000) (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))))
44.6%
(+.f64 x (*.f64 (*.f64 (pow.f64 z 2) 692910599291889/10000000000000000) (*.f64 y (/.f64 1 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))))
68.8%
(+.f64 x (*.f64 y (+.f64 279195317918525/3350343815022304 (*.f64 z -155900051080628738716045985239/56124018394291031809500087342080))))
64.7%
(+.f64 x (*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))))
77.6%
(+.f64 x (*.f64 11167812716741/40000000000000 (/.f64 y (+.f64 104698244219447/31250000000000 (*.f64 z (+.f64 6012459259764103/1000000000000000 z))))))
35.6%
(*.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))))))
32.3%
(*.f64 279195317918525/3350343815022304 y)
13.9%
(cbrt.f64 (pow.f64 (*.f64 279195317918525/3350343815022304 y) 3))
52.2%
x
Compiler

Compiled 725 to 547 computations (24.6% saved)

localize347.0ms (2.6%)

Localize:

Found 18 expressions with local error:

NewAccuracyProgram
100.0%
(+.f64 z 6012459259764103/1000000000000000)
99.6%
(*.f64 (pow.f64 z 2) 692910599291889/10000000000000000)
94.8%
(/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))
60.3%
(*.f64 (*.f64 (pow.f64 z 2) 692910599291889/10000000000000000) (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))
99.7%
(*.f64 (+.f64 z 6012459259764103/1000000000000000) z)
99.1%
(*.f64 y 692910599291889/10000000000000000)
88.6%
(*.f64 (pow.f64 z 2) (*.f64 y 692910599291889/10000000000000000))
70.8%
(/.f64 (*.f64 (pow.f64 z 2) (*.f64 y 692910599291889/10000000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000))
99.6%
(*.f64 z (-.f64 (*.f64 307332350656623/2093964884388940 y) (*.f64 1678650474502018223880473708075/11224803678858206361900017468416 y)))
99.4%
(*.f64 1678650474502018223880473708075/11224803678858206361900017468416 y)
99.4%
(*.f64 307332350656623/2093964884388940 y)
94.1%
(-.f64 (*.f64 307332350656623/2093964884388940 y) (*.f64 1678650474502018223880473708075/11224803678858206361900017468416 y))
100.0%
(+.f64 x (*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))))
100.0%
(+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))
99.7%
(/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)
99.4%
(*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)))
100.0%
(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
99.1%
(*.f64 692910599291889/10000000000000000 y)
Compiler

Compiled 232 to 156 computations (32.8% saved)

series59.0ms (0.4%)

Counts
15 → 216
Calls

69 calls:

TimeVariablePointExpression
8.0ms
y
@0
(*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)))
2.0ms
y
@inf
(*.f64 307332350656623/2093964884388940 y)
1.0ms
z
@inf
(/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)
1.0ms
z
@inf
(*.f64 (pow.f64 z 2) 692910599291889/10000000000000000)
1.0ms
y
@0
(/.f64 (*.f64 (pow.f64 z 2) (*.f64 y 692910599291889/10000000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000))

rewrite155.0ms (1.2%)

Algorithm
batch-egg-rewrite
Rules
516×associate-*r*
352×associate-*l*
262×log1p-expm1-u
262×expm1-log1p-u
258×add-cube-cbrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
038312
1623308
Stop Event
node limit
Counts
15 → 407
Calls
Call 1
Inputs
(*.f64 692910599291889/10000000000000000 y)
(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
(*.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 307332350656623/2093964884388940 y) (*.f64 1678650474502018223880473708075/11224803678858206361900017468416 y))
(*.f64 307332350656623/2093964884388940 y)
(*.f64 1678650474502018223880473708075/11224803678858206361900017468416 y)
(*.f64 z (-.f64 (*.f64 307332350656623/2093964884388940 y) (*.f64 1678650474502018223880473708075/11224803678858206361900017468416 y)))
(/.f64 (*.f64 (pow.f64 z 2) (*.f64 y 692910599291889/10000000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000))
(*.f64 (pow.f64 z 2) (*.f64 y 692910599291889/10000000000000000))
(*.f64 y 692910599291889/10000000000000000)
(*.f64 (*.f64 (pow.f64 z 2) 692910599291889/10000000000000000) (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))
(*.f64 (pow.f64 z 2) 692910599291889/10000000000000000)
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)
(sqrt.f64 (*.f64 (pow.f64 y 2) 480125098611044764748221188321/100000000000000000000000000000000))
(log.f64 (pow.f64 (exp.f64 692910599291889/10000000000000000) y))
(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 (exp.f64 (log1p.f64 (fma.f64 692910599291889/10000000000000000 y x))) 1)
(-.f64 (/.f64 (*.f64 (pow.f64 y 2) 480125098611044764748221188321/100000000000000000000000000000000) (-.f64 (*.f64 692910599291889/10000000000000000 y) x)) (/.f64 (pow.f64 x 2) (-.f64 (*.f64 692910599291889/10000000000000000 y) x)))
(*.f64 1 (fma.f64 692910599291889/10000000000000000 y x))
(*.f64 (cbrt.f64 (fma.f64 692910599291889/10000000000000000 y x)) (pow.f64 (cbrt.f64 (fma.f64 692910599291889/10000000000000000 y x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 692910599291889/10000000000000000 y x)) 2) (cbrt.f64 (fma.f64 692910599291889/10000000000000000 y x)))
(*.f64 (sqrt.f64 (fma.f64 692910599291889/10000000000000000 y x)) (sqrt.f64 (fma.f64 692910599291889/10000000000000000 y x)))
(*.f64 (+.f64 (*.f64 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000 (pow.f64 y 3)) (pow.f64 x 3)) (/.f64 1 (+.f64 (*.f64 (pow.f64 y 2) 480125098611044764748221188321/100000000000000000000000000000000) (*.f64 x (-.f64 x (*.f64 692910599291889/10000000000000000 y))))))
(*.f64 (-.f64 (*.f64 (pow.f64 y 2) 480125098611044764748221188321/100000000000000000000000000000000) (pow.f64 x 2)) (/.f64 1 (-.f64 (*.f64 692910599291889/10000000000000000 y) x)))
(/.f64 1 (/.f64 (+.f64 (*.f64 (pow.f64 y 2) 480125098611044764748221188321/100000000000000000000000000000000) (*.f64 x (-.f64 x (*.f64 692910599291889/10000000000000000 y)))) (+.f64 (*.f64 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000 (pow.f64 y 3)) (pow.f64 x 3))))
(/.f64 1 (/.f64 (-.f64 (*.f64 692910599291889/10000000000000000 y) x) (-.f64 (*.f64 (pow.f64 y 2) 480125098611044764748221188321/100000000000000000000000000000000) (pow.f64 x 2))))
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simplify308.0ms (2.3%)

Algorithm
egg-herbie
Rules
944×fma-define
598×associate-/l*
516×times-frac
404×sqr-pow
348×associate-*r/
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
090819917
1247119531
Stop Event
node limit
Counts
623 → 487
Calls
Call 1
Inputs
x
(+.f64 x (*.f64 692910599291889/10000000000000000 y))
(+.f64 x (*.f64 692910599291889/10000000000000000 y))
(+.f64 x (*.f64 692910599291889/10000000000000000 y))
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(-.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)
(sqrt.f64 (*.f64 (pow.f64 y 2) 480125098611044764748221188321/100000000000000000000000000000000))
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Outputs
x
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(*.f64 (pow.f64 z 2) (/.f64 (*.f64 692910599291889/10000000000000000 y) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))
(*.f64 (*.f64 y (pow.f64 z 2)) (/.f64 692910599291889/10000000000000000 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))
(/.f64 (*.f64 (*.f64 (pow.f64 z 2) y) -692910599291889/10000000000000000) (neg.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))
(*.f64 (pow.f64 z 2) (/.f64 (*.f64 692910599291889/10000000000000000 y) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))
(*.f64 (*.f64 y (pow.f64 z 2)) (/.f64 692910599291889/10000000000000000 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))
(/.f64 -1 (neg.f64 (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) (*.f64 692910599291889/10000000000000000 (*.f64 (pow.f64 z 2) y)))))
(*.f64 (pow.f64 z 2) (/.f64 (*.f64 692910599291889/10000000000000000 y) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))
(*.f64 (*.f64 y (pow.f64 z 2)) (/.f64 692910599291889/10000000000000000 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))
(/.f64 (neg.f64 (*.f64 (*.f64 (pow.f64 z 2) y) -692910599291889/10000000000000000)) (neg.f64 (neg.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))))
(*.f64 (pow.f64 z 2) (/.f64 (*.f64 692910599291889/10000000000000000 y) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))
(*.f64 (*.f64 y (pow.f64 z 2)) (/.f64 692910599291889/10000000000000000 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))
(pow.f64 (*.f64 (pow.f64 z 2) (/.f64 (*.f64 692910599291889/10000000000000000 y) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) 1)
(*.f64 (pow.f64 z 2) (/.f64 (*.f64 692910599291889/10000000000000000 y) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))
(*.f64 (*.f64 y (pow.f64 z 2)) (/.f64 692910599291889/10000000000000000 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 z 2) (/.f64 (*.f64 692910599291889/10000000000000000 y) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))) 3)
(*.f64 (pow.f64 z 2) (/.f64 (*.f64 692910599291889/10000000000000000 y) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))
(*.f64 (*.f64 y (pow.f64 z 2)) (/.f64 692910599291889/10000000000000000 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))
(pow.f64 (pow.f64 (*.f64 (pow.f64 z 2) (/.f64 (*.f64 692910599291889/10000000000000000 y) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) 3) 1/3)
(*.f64 (pow.f64 z 2) (/.f64 (*.f64 692910599291889/10000000000000000 y) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))
(*.f64 (*.f64 y (pow.f64 z 2)) (/.f64 692910599291889/10000000000000000 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))
(pow.f64 (*.f64 z (sqrt.f64 (/.f64 (*.f64 692910599291889/10000000000000000 y) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))) 2)
(*.f64 (pow.f64 z 2) (/.f64 (*.f64 692910599291889/10000000000000000 y) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))
(*.f64 (*.f64 y (pow.f64 z 2)) (/.f64 692910599291889/10000000000000000 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))
(pow.f64 (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) (*.f64 692910599291889/10000000000000000 (*.f64 (pow.f64 z 2) y))) -1)
(*.f64 (pow.f64 z 2) (/.f64 (*.f64 692910599291889/10000000000000000 y) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))
(*.f64 (*.f64 y (pow.f64 z 2)) (/.f64 692910599291889/10000000000000000 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))
(neg.f64 (/.f64 (*.f64 692910599291889/10000000000000000 (*.f64 (pow.f64 z 2) y)) (neg.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))))
(*.f64 (pow.f64 z 2) (/.f64 (*.f64 692910599291889/10000000000000000 y) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))
(*.f64 (*.f64 y (pow.f64 z 2)) (/.f64 692910599291889/10000000000000000 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))
(neg.f64 (/.f64 (*.f64 (*.f64 (pow.f64 z 2) y) -692910599291889/10000000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))
(*.f64 (pow.f64 z 2) (/.f64 (*.f64 692910599291889/10000000000000000 y) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))
(*.f64 (*.f64 y (pow.f64 z 2)) (/.f64 692910599291889/10000000000000000 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))
(sqrt.f64 (pow.f64 (*.f64 (pow.f64 z 2) (/.f64 (*.f64 692910599291889/10000000000000000 y) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) 2))
(fabs.f64 (*.f64 (*.f64 y (pow.f64 z 2)) (/.f64 692910599291889/10000000000000000 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))))
(log.f64 (pow.f64 (exp.f64 (pow.f64 z 2)) (/.f64 (*.f64 692910599291889/10000000000000000 y) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))))
(*.f64 (pow.f64 z 2) (/.f64 (*.f64 692910599291889/10000000000000000 y) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))
(*.f64 (*.f64 y (pow.f64 z 2)) (/.f64 692910599291889/10000000000000000 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 z 2) (/.f64 (*.f64 692910599291889/10000000000000000 y) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))))))
(*.f64 (pow.f64 z 2) (/.f64 (*.f64 692910599291889/10000000000000000 y) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))
(*.f64 (*.f64 y (pow.f64 z 2)) (/.f64 692910599291889/10000000000000000 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 z 2) (/.f64 (*.f64 692910599291889/10000000000000000 y) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) 3))
(*.f64 (pow.f64 z 2) (/.f64 (*.f64 692910599291889/10000000000000000 y) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))
(*.f64 (*.f64 y (pow.f64 z 2)) (/.f64 692910599291889/10000000000000000 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 692910599291889/10000000000000000 (pow.f64 z 2)) 3) (pow.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) 3)))
(*.f64 (pow.f64 z 2) (/.f64 (*.f64 692910599291889/10000000000000000 y) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))
(*.f64 (*.f64 y (pow.f64 z 2)) (/.f64 692910599291889/10000000000000000 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) 3) (pow.f64 (*.f64 692910599291889/10000000000000000 (pow.f64 z 2)) 3)))
(*.f64 (pow.f64 z 2) (/.f64 (*.f64 692910599291889/10000000000000000 y) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))
(*.f64 (*.f64 y (pow.f64 z 2)) (/.f64 692910599291889/10000000000000000 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 692910599291889/10000000000000000 (*.f64 (pow.f64 z 2) y)) 3) (pow.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) 3)))
(*.f64 (pow.f64 z 2) (/.f64 (*.f64 692910599291889/10000000000000000 y) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))
(*.f64 (*.f64 y (pow.f64 z 2)) (/.f64 692910599291889/10000000000000000 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 z 2) (/.f64 (*.f64 692910599291889/10000000000000000 y) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))))
(expm1.f64 (log1p.f64 (*.f64 (*.f64 y (pow.f64 z 2)) (/.f64 692910599291889/10000000000000000 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 z 2) (/.f64 (*.f64 692910599291889/10000000000000000 y) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))))
(*.f64 (pow.f64 z 2) (/.f64 (*.f64 692910599291889/10000000000000000 y) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))
(*.f64 (*.f64 y (pow.f64 z 2)) (/.f64 692910599291889/10000000000000000 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))
(exp.f64 (log.f64 (*.f64 (pow.f64 z 2) (/.f64 (*.f64 692910599291889/10000000000000000 y) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))))
(*.f64 (pow.f64 z 2) (/.f64 (*.f64 692910599291889/10000000000000000 y) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))
(*.f64 (*.f64 y (pow.f64 z 2)) (/.f64 692910599291889/10000000000000000 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 z 2) (/.f64 (*.f64 692910599291889/10000000000000000 y) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))) 1))
(*.f64 (pow.f64 z 2) (/.f64 (*.f64 692910599291889/10000000000000000 y) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))
(*.f64 (*.f64 y (pow.f64 z 2)) (/.f64 692910599291889/10000000000000000 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 692910599291889/10000000000000000 (pow.f64 z 2)))) 1)
(expm1.f64 (log1p.f64 (*.f64 692910599291889/10000000000000000 (pow.f64 z 2))))
(pow.f64 (*.f64 692910599291889/10000000000000000 (pow.f64 z 2)) 1)
(*.f64 692910599291889/10000000000000000 (pow.f64 z 2))
(pow.f64 (cbrt.f64 (*.f64 692910599291889/10000000000000000 (pow.f64 z 2))) 3)
(*.f64 692910599291889/10000000000000000 (pow.f64 z 2))
(pow.f64 (pow.f64 (*.f64 692910599291889/10000000000000000 (pow.f64 z 2)) 3) 1/3)
(*.f64 692910599291889/10000000000000000 (pow.f64 z 2))
(pow.f64 (*.f64 z (sqrt.f64 692910599291889/10000000000000000)) 2)
(sqrt.f64 (*.f64 (pow.f64 z 4) 480125098611044764748221188321/100000000000000000000000000000000))
(log.f64 (pow.f64 (exp.f64 692910599291889/10000000000000000) (pow.f64 z 2)))
(*.f64 692910599291889/10000000000000000 (pow.f64 z 2))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 692910599291889/10000000000000000 (pow.f64 z 2)))))
(*.f64 692910599291889/10000000000000000 (pow.f64 z 2))
(cbrt.f64 (pow.f64 (*.f64 692910599291889/10000000000000000 (pow.f64 z 2)) 3))
(*.f64 692910599291889/10000000000000000 (pow.f64 z 2))
(expm1.f64 (log1p.f64 (*.f64 692910599291889/10000000000000000 (pow.f64 z 2))))
(log1p.f64 (expm1.f64 (*.f64 692910599291889/10000000000000000 (pow.f64 z 2))))
(*.f64 692910599291889/10000000000000000 (pow.f64 z 2))
(exp.f64 (log.f64 (*.f64 692910599291889/10000000000000000 (pow.f64 z 2))))
(*.f64 692910599291889/10000000000000000 (pow.f64 z 2))
(exp.f64 (*.f64 (log.f64 (*.f64 692910599291889/10000000000000000 (pow.f64 z 2))) 1))
(*.f64 692910599291889/10000000000000000 (pow.f64 z 2))

eval375.0ms (2.8%)

Compiler

Compiled 13363 to 9686 computations (27.5% saved)

prune176.0ms (1.3%)

Pruning

29 alts after pruning (19 fresh and 10 done)

PrunedKeptTotal
New66710677
Fresh4913
Picked235
Done077
Total67329702
Accuracy
100.0%
Counts
702 → 29
Alt Table
Click to see full alt table
StatusAccuracyProgram
81.8%
(fma.f64 279195317918525/3350343815022304 y x)
14.3%
(pow.f64 (sqrt.f64 (*.f64 279195317918525/3350343815022304 y)) 2)
40.6%
(+.f64 (pow.f64 (sqrt.f64 (*.f64 692910599291889/10000000000000000 y)) 2) x)
78.1%
(+.f64 (pow.f64 (cbrt.f64 (*.f64 692910599291889/10000000000000000 y)) 3) x)
81.8%
(+.f64 (*.f64 279195317918525/3350343815022304 y) x)
78.3%
(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
57.2%
(+.f64 (sqrt.f64 (*.f64 (pow.f64 y 2) 480125098611044764748221188321/100000000000000000000000000000000)) x)
52.5%
(+.f64 x (/.f64 (-.f64 (*.f64 (pow.f64 y 2) 480125098611044764748221188321/100000000000000000000000000000000) (*.f64 (*.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z) y) (*.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z) y))) (-.f64 (*.f64 692910599291889/10000000000000000 y) (*.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z) y))))
43.8%
(+.f64 x (/.f64 (*.f64 (pow.f64 z 2) (*.f64 y 692910599291889/10000000000000000)) (+.f64 (*.f64 z z) 104698244219447/31250000000000)))
48.6%
(+.f64 x (/.f64 (*.f64 z (*.f64 y (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000))) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
69.8%
(+.f64 x (/.f64 (*.f64 y (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
69.8%
(+.f64 x (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
43.7%
(+.f64 x (/.f64 (*.f64 y (*.f64 (pow.f64 z 2) 692910599291889/10000000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
77.8%
(+.f64 x (/.f64 (*.f64 y 11167812716741/40000000000000) (+.f64 (*.f64 z z) 104698244219447/31250000000000)))
77.7%
(+.f64 x (/.f64 1 (*.f64 40000000000000/11167812716741 (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) y))))
64.7%
(+.f64 x (-.f64 (*.f64 y 692910599291889/10000000000000000) (/.f64 (*.f64 y -751220861604756070699018739433/10000000000000000000000000000000) z)))
68.8%
(+.f64 x (+.f64 (*.f64 279195317918525/3350343815022304 y) (*.f64 z (-.f64 (*.f64 307332350656623/2093964884388940 y) (*.f64 1678650474502018223880473708075/11224803678858206361900017468416 y)))))
68.8%
(+.f64 x (+.f64 (*.f64 279195317918525/3350343815022304 y) (*.f64 z (*.f64 y -155900051080628738716045985239/56124018394291031809500087342080))))
44.6%
(+.f64 x (*.f64 (*.f64 (pow.f64 z 2) 692910599291889/10000000000000000) (/.f64 y (+.f64 104698244219447/31250000000000 (*.f64 z (+.f64 6012459259764103/1000000000000000 z))))))
60.7%
(+.f64 x (*.f64 y (/.f64 (-.f64 (pow.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z) 2) 480125098611044764748221188321/100000000000000000000000000000000) (-.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z) 692910599291889/10000000000000000))))
68.8%
(+.f64 x (*.f64 y (+.f64 279195317918525/3350343815022304 (*.f64 z -155900051080628738716045985239/56124018394291031809500087342080))))
64.7%
(+.f64 x (*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))))
77.6%
(+.f64 x (*.f64 11167812716741/40000000000000 (/.f64 y (+.f64 104698244219447/31250000000000 (*.f64 z (+.f64 6012459259764103/1000000000000000 z))))))
46.3%
(*.f64 (-.f64 (*.f64 (pow.f64 y 2) 480125098611044764748221188321/100000000000000000000000000000000) (pow.f64 x 2)) (/.f64 1 (-.f64 (*.f64 692910599291889/10000000000000000 y) x)))
35.6%
(*.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))))))
32.3%
(*.f64 279195317918525/3350343815022304 y)
28.2%
(*.f64 692910599291889/10000000000000000 y)
13.9%
(cbrt.f64 (pow.f64 (*.f64 279195317918525/3350343815022304 y) 3))
52.2%
x
Compiler

Compiled 1327 to 956 computations (28% saved)

regimes475.0ms (3.6%)

Counts
55 → 2
Calls
Call 1
Inputs
x
(*.f64 692910599291889/10000000000000000 y)
(*.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 279195317918525/3350343815022304 (*.f64 z -155900051080628738716045985239/56124018394291031809500087342080))))
(+.f64 x (+.f64 (*.f64 279195317918525/3350343815022304 y) (*.f64 z (*.f64 y -155900051080628738716045985239/56124018394291031809500087342080))))
(+.f64 x (-.f64 (*.f64 692910599291889/10000000000000000 y) (*.f64 y (/.f64 -751220861604756070699018739433/10000000000000000000000000000000 z))))
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(fma.f64 279195317918525/3350343815022304 y x)
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(cbrt.f64 (pow.f64 (*.f64 279195317918525/3350343815022304 y) 3))
(pow.f64 (sqrt.f64 (*.f64 279195317918525/3350343815022304 y)) 2)
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(pow.f64 (sqrt.f64 (fma.f64 279195317918525/3350343815022304 y x)) 2)
(fma.f64 (fma.f64 z 307332350656623/625000000000000 11167812716741/40000000000000) (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) x)
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(fma.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) x)
(fma.f64 (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)
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Outputs
(+.f64 x (*.f64 y (/.f64 (fma.f64 (/.f64 (-.f64 94453173760125479739253764129/390625000000000000000000000000 (*.f64 (pow.f64 z 2) 480125098611044764748221188321/100000000000000000000000000000000)) (-.f64 307332350656623/625000000000000 (*.f64 z 692910599291889/10000000000000000))) z 11167812716741/40000000000000) (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000))))
(+.f64 x (*.f64 y (/.f64 (-.f64 (pow.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z) 2) 480125098611044764748221188321/100000000000000000000000000000000) (-.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z) 692910599291889/10000000000000000))))
Calls

5 calls:

123.0ms
y
117.0ms
z
93.0ms
x
90.0ms
(/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000))
47.0ms
(+.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
84.2%3x
88.1%5y
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)

regimes225.0ms (1.7%)

Counts
48 → 2
Calls
Call 1
Inputs
x
(*.f64 692910599291889/10000000000000000 y)
(*.f64 279195317918525/3350343815022304 y)
(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
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(+.f64 x (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (pow.f64 (cbrt.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000))) 3) 104698244219447/31250000000000)))
(+.f64 x (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (pow.f64 (sqrt.f64 (*.f64 z 692910599291889/10000000000000000)) 2) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
(+.f64 x (*.f64 y (/.f64 (+.f64 11167812716741/40000000000000 (*.f64 z (/.f64 (+.f64 94453173760125479739253764129/390625000000000000000000000000 (*.f64 (pow.f64 z 2) -480125098611044764748221188321/100000000000000000000000000000000)) (+.f64 307332350656623/625000000000000 (*.f64 z -692910599291889/10000000000000000))))) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))))
(+.f64 x (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 (pow.f64 z 3) 217348396185382961186752534140230541334573920727/1000000000000000000000000000000000000000000000) (/.f64 z (fma.f64 z z (-.f64 36149666350323105395943207394609/1000000000000000000000000000000 (*.f64 z 6012459259764103/1000000000000000))))) 104698244219447/31250000000000)))
(pow.f64 (sqrt.f64 (fma.f64 279195317918525/3350343815022304 y x)) 2)
(fma.f64 (fma.f64 z 307332350656623/625000000000000 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)))
Outputs
(+.f64 x (*.f64 y (/.f64 (+.f64 11167812716741/40000000000000 (*.f64 z (/.f64 (+.f64 94453173760125479739253764129/390625000000000000000000000000 (*.f64 (pow.f64 z 2) -480125098611044764748221188321/100000000000000000000000000000000)) (+.f64 307332350656623/625000000000000 (*.f64 z -692910599291889/10000000000000000))))) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))))
(+.f64 x (*.f64 y (/.f64 (-.f64 (pow.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z) 2) 480125098611044764748221188321/100000000000000000000000000000000) (-.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z) 692910599291889/10000000000000000))))
Calls

2 calls:

119.0ms
(+.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)))
101.0ms
(/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000))
Results
AccuracySegmentsBranch
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 46 to 35 computations (23.9% saved)

regimes92.0ms (0.7%)

Counts
42 → 2
Calls
Call 1
Inputs
x
(*.f64 692910599291889/10000000000000000 y)
(*.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 279195317918525/3350343815022304 (*.f64 z -155900051080628738716045985239/56124018394291031809500087342080))))
(+.f64 x (+.f64 (*.f64 279195317918525/3350343815022304 y) (*.f64 z (*.f64 y -155900051080628738716045985239/56124018394291031809500087342080))))
(+.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 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 x (+.f64 (*.f64 279195317918525/3350343815022304 y) (*.f64 z (-.f64 (*.f64 307332350656623/2093964884388940 y) (*.f64 1678650474502018223880473708075/11224803678858206361900017468416 y)))))
(+.f64 x (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
(*.f64 y (+.f64 (*.f64 11167812716741/40000000000000 (/.f64 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 40000000000000/11167812716741 (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) y))))
(+.f64 x (/.f64 (*.f64 (pow.f64 z 2) (*.f64 y 692910599291889/10000000000000000)) (+.f64 (*.f64 z z) 104698244219447/31250000000000)))
(+.f64 x (*.f64 y (/.f64 (-.f64 (pow.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z) 2) 480125098611044764748221188321/100000000000000000000000000000000) (-.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z) 692910599291889/10000000000000000))))
(+.f64 x (*.f64 (*.f64 (pow.f64 z 2) 692910599291889/10000000000000000) (/.f64 y (+.f64 104698244219447/31250000000000 (*.f64 z (+.f64 6012459259764103/1000000000000000 z))))))
(+.f64 x (/.f64 (*.f64 692910599291889/10000000000000000 (*.f64 (pow.f64 z 2) y)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
(+.f64 x (/.f64 (*.f64 y (*.f64 (pow.f64 z 2) 692910599291889/10000000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
(+.f64 x (/.f64 (*.f64 (*.f64 692910599291889/10000000000000000 y) (pow.f64 z 2)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
(+.f64 x (/.f64 (*.f64 (pow.f64 z 2) (*.f64 y 692910599291889/10000000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
(+.f64 x (/.f64 (*.f64 z (*.f64 y (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000))) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
(+.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 (*.f64 (pow.f64 y 2) 480125098611044764748221188321/100000000000000000000000000000000) (*.f64 (*.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z) y) (*.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z) y))) (-.f64 (*.f64 692910599291889/10000000000000000 y) (*.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z) y))))
(cbrt.f64 (pow.f64 (*.f64 279195317918525/3350343815022304 y) 3))
(pow.f64 (sqrt.f64 (*.f64 279195317918525/3350343815022304 y)) 2)
(+.f64 (sqrt.f64 (*.f64 (pow.f64 y 2) 480125098611044764748221188321/100000000000000000000000000000000)) x)
(+.f64 (pow.f64 (cbrt.f64 (*.f64 692910599291889/10000000000000000 y)) 3) x)
(+.f64 (pow.f64 (sqrt.f64 (*.f64 692910599291889/10000000000000000 y)) 2) x)
(/.f64 (-.f64 (*.f64 77950025547626246938538175625/11224803678858206361900017468416 (pow.f64 y 2)) (pow.f64 x 2)) (-.f64 (*.f64 279195317918525/3350343815022304 y) x))
(+.f64 x (*.f64 (*.f64 (pow.f64 z 2) 692910599291889/10000000000000000) (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))))
(+.f64 x (/.f64 692910599291889/10000000000000000 (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) (*.f64 y (pow.f64 z 2)))))
(*.f64 (-.f64 (*.f64 (pow.f64 y 2) 480125098611044764748221188321/100000000000000000000000000000000) (pow.f64 x 2)) (/.f64 1 (-.f64 (*.f64 692910599291889/10000000000000000 y) x)))
(+.f64 x (*.f64 (*.f64 (pow.f64 z 2) 692910599291889/10000000000000000) (*.f64 y (/.f64 1 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))))
(+.f64 x (/.f64 (*.f64 y (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 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 (pow.f64 (cbrt.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000))) 3) 104698244219447/31250000000000)))
(+.f64 x (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (pow.f64 (sqrt.f64 (*.f64 z 692910599291889/10000000000000000)) 2) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
Outputs
(+.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 (-.f64 (pow.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z) 2) 480125098611044764748221188321/100000000000000000000000000000000) (-.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z) 692910599291889/10000000000000000))))
Calls

2 calls:

53.0ms
(/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000))
36.0ms
(+.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
98.2%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)))
98.2%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 46 to 35 computations (23.9% saved)

regimes95.0ms (0.7%)

Counts
27 → 2
Calls
Call 1
Inputs
x
(*.f64 692910599291889/10000000000000000 y)
(*.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 279195317918525/3350343815022304 (*.f64 z -155900051080628738716045985239/56124018394291031809500087342080))))
(+.f64 x (+.f64 (*.f64 279195317918525/3350343815022304 y) (*.f64 z (*.f64 y -155900051080628738716045985239/56124018394291031809500087342080))))
(+.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 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 x (+.f64 (*.f64 279195317918525/3350343815022304 y) (*.f64 z (-.f64 (*.f64 307332350656623/2093964884388940 y) (*.f64 1678650474502018223880473708075/11224803678858206361900017468416 y)))))
(+.f64 x (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
(*.f64 y (+.f64 (*.f64 11167812716741/40000000000000 (/.f64 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 40000000000000/11167812716741 (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) y))))
(+.f64 x (/.f64 (*.f64 (pow.f64 z 2) (*.f64 y 692910599291889/10000000000000000)) (+.f64 (*.f64 z z) 104698244219447/31250000000000)))
(+.f64 x (*.f64 y (/.f64 (-.f64 (pow.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z) 2) 480125098611044764748221188321/100000000000000000000000000000000) (-.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z) 692910599291889/10000000000000000))))
(+.f64 x (*.f64 (*.f64 (pow.f64 z 2) 692910599291889/10000000000000000) (/.f64 y (+.f64 104698244219447/31250000000000 (*.f64 z (+.f64 6012459259764103/1000000000000000 z))))))
(+.f64 x (/.f64 (*.f64 692910599291889/10000000000000000 (*.f64 (pow.f64 z 2) y)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
(+.f64 x (/.f64 (*.f64 y (*.f64 (pow.f64 z 2) 692910599291889/10000000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
(+.f64 x (/.f64 (*.f64 (*.f64 692910599291889/10000000000000000 y) (pow.f64 z 2)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
(+.f64 x (/.f64 (*.f64 (pow.f64 z 2) (*.f64 y 692910599291889/10000000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
(+.f64 x (/.f64 (*.f64 z (*.f64 y (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000))) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 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 (-.f64 (pow.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z) 2) 480125098611044764748221188321/100000000000000000000000000000000) (-.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z) 692910599291889/10000000000000000))))
Calls

2 calls:

67.0ms
(+.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)))
26.0ms
(/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000))
Results
AccuracySegmentsBranch
98.2%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)))
98.2%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 46 to 35 computations (23.9% saved)

regimes42.0ms (0.3%)

Counts
20 → 2
Calls
Call 1
Inputs
x
(*.f64 692910599291889/10000000000000000 y)
(*.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 279195317918525/3350343815022304 (*.f64 z -155900051080628738716045985239/56124018394291031809500087342080))))
(+.f64 x (+.f64 (*.f64 279195317918525/3350343815022304 y) (*.f64 z (*.f64 y -155900051080628738716045985239/56124018394291031809500087342080))))
(+.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 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 x (+.f64 (*.f64 279195317918525/3350343815022304 y) (*.f64 z (-.f64 (*.f64 307332350656623/2093964884388940 y) (*.f64 1678650474502018223880473708075/11224803678858206361900017468416 y)))))
(+.f64 x (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
(*.f64 y (+.f64 (*.f64 11167812716741/40000000000000 (/.f64 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 40000000000000/11167812716741 (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) y))))
(+.f64 x (/.f64 (*.f64 (pow.f64 z 2) (*.f64 y 692910599291889/10000000000000000)) (+.f64 (*.f64 z z) 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 (*.f64 692910599291889/10000000000000000 y) x)
Calls

2 calls:

21.0ms
(+.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)))
20.0ms
(/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000))
Results
AccuracySegmentsBranch
98.1%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)))
98.1%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 46 to 35 computations (23.9% saved)

regimes28.0ms (0.2%)

Counts
15 → 3
Calls
Call 1
Inputs
x
(*.f64 692910599291889/10000000000000000 y)
(*.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 279195317918525/3350343815022304 (*.f64 z -155900051080628738716045985239/56124018394291031809500087342080))))
(+.f64 x (+.f64 (*.f64 279195317918525/3350343815022304 y) (*.f64 z (*.f64 y -155900051080628738716045985239/56124018394291031809500087342080))))
(+.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 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 x (+.f64 (*.f64 279195317918525/3350343815022304 y) (*.f64 z (-.f64 (*.f64 307332350656623/2093964884388940 y) (*.f64 1678650474502018223880473708075/11224803678858206361900017468416 y)))))
Outputs
(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
(+.f64 x (+.f64 (*.f64 279195317918525/3350343815022304 y) (*.f64 z (*.f64 y -155900051080628738716045985239/56124018394291031809500087342080))))
(+.f64 x (-.f64 (*.f64 692910599291889/10000000000000000 y) (*.f64 y (/.f64 -751220861604756070699018739433/10000000000000000000000000000000 z))))
Calls

1 calls:

27.0ms
z
Results
AccuracySegmentsBranch
99.4%3z
Compiler

Compiled 4 to 3 computations (25% saved)

regimes21.0ms (0.2%)

Counts
9 → 3
Calls
Call 1
Inputs
x
(*.f64 692910599291889/10000000000000000 y)
(*.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 279195317918525/3350343815022304 (*.f64 z -155900051080628738716045985239/56124018394291031809500087342080))))
(+.f64 x (+.f64 (*.f64 279195317918525/3350343815022304 y) (*.f64 z (*.f64 y -155900051080628738716045985239/56124018394291031809500087342080))))
Outputs
(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
(+.f64 x (+.f64 (*.f64 279195317918525/3350343815022304 y) (*.f64 z (*.f64 y -155900051080628738716045985239/56124018394291031809500087342080))))
(+.f64 x (*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))))
Calls

1 calls:

20.0ms
z
Results
AccuracySegmentsBranch
99.4%3z
Compiler

Compiled 4 to 3 computations (25% saved)

regimes17.0ms (0.1%)

Counts
8 → 3
Calls
Call 1
Inputs
x
(*.f64 692910599291889/10000000000000000 y)
(*.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 279195317918525/3350343815022304 (*.f64 z -155900051080628738716045985239/56124018394291031809500087342080))))
Outputs
(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
(+.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:

17.0ms
z
Results
AccuracySegmentsBranch
99.4%3z
Compiler

Compiled 4 to 3 computations (25% saved)

regimes15.0ms (0.1%)

Counts
6 → 3
Calls
Call 1
Inputs
x
(*.f64 692910599291889/10000000000000000 y)
(*.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 (*.f64 692910599291889/10000000000000000 y) x)
(+.f64 (*.f64 279195317918525/3350343815022304 y) x)
(+.f64 x (*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))))
Calls

1 calls:

14.0ms
z
Results
AccuracySegmentsBranch
99.0%3z
Compiler

Compiled 4 to 3 computations (25% saved)

regimes15.0ms (0.1%)

Counts
5 → 3
Calls
Call 1
Inputs
x
(*.f64 692910599291889/10000000000000000 y)
(*.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:

14.0ms
z
Results
AccuracySegmentsBranch
98.9%3z
Compiler

Compiled 4 to 3 computations (25% saved)

regimes35.0ms (0.3%)

Counts
4 → 2
Calls
Call 1
Inputs
x
(*.f64 692910599291889/10000000000000000 y)
(*.f64 279195317918525/3350343815022304 y)
(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
Outputs
(*.f64 279195317918525/3350343815022304 y)
(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
Calls

3 calls:

22.0ms
z
8.0ms
y
5.0ms
x
Results
AccuracySegmentsBranch
78.3%1x
81.0%2y
84.9%5z
Compiler

Compiled 12 to 9 computations (25% saved)

regimes51.0ms (0.4%)

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

3 calls:

20.0ms
z
17.0ms
x
13.0ms
y
Results
AccuracySegmentsBranch
65.6%5x
64.8%6z
66.5%3y
Compiler

Compiled 12 to 9 computations (25% saved)

regimes22.0ms (0.2%)

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

2 calls:

12.0ms
y
10.0ms
x
Results
AccuracySegmentsBranch
63.7%3x
60.8%3y
Compiler

Compiled 8 to 6 computations (25% saved)

regimes11.0ms (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:

5.0ms
y
3.0ms
z
3.0ms
x
Results
AccuracySegmentsBranch
52.2%1z
52.2%1y
52.2%1x
Compiler

Compiled 12 to 9 computations (25% saved)

bsearch1.0ms (0%)

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

Compiled 30 to 23 computations (23.3% saved)

bsearch0.0ms (0%)

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

Compiled 30 to 23 computations (23.3% saved)

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.812537672783071e+304
+inf
Compiler

Compiled 30 to 23 computations (23.3% saved)

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.812537672783071e+304
+inf
Compiler

Compiled 30 to 23 computations (23.3% saved)

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.812537672783071e+304
+inf
Compiler

Compiled 30 to 23 computations (23.3% saved)

bsearch32.0ms (0.2%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
17.0ms
5.584827544643804e-13
2.2840559926765505e-11
15.0ms
-5.328302870394631e+29
-2.9724297985501584e+29
Results
27.0ms160×256valid
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 336 to 249 computations (25.9% saved)

bsearch29.0ms (0.2%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
18.0ms
5.584827544643804e-13
2.2840559926765505e-11
10.0ms
-5.328302870394631e+29
-2.9724297985501584e+29
Results
23.0ms160×256valid
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
1.0ms256valid
0.0ms256valid
0.0ms256valid
Compiler

Compiled 322 to 242 computations (24.8% saved)

bsearch28.0ms (0.2%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
17.0ms
5.584827544643804e-13
2.2840559926765505e-11
10.0ms
-5.328302870394631e+29
-2.9724297985501584e+29
Results
23.0ms160×256valid
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 300 to 231 computations (23% saved)

bsearch66.0ms (0.5%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
17.0ms
5.584827544643804e-13
2.2840559926765505e-11
48.0ms
-5.328302870394631e+29
-2.9724297985501584e+29
Results
22.0ms160×256valid
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 256 to 198 computations (22.7% saved)

bsearch28.0ms (0.2%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
18.0ms
5.584827544643804e-13
2.2840559926765505e-11
10.0ms
-5.328302870394631e+29
-2.9724297985501584e+29
Results
22.0ms160×256valid
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
1.0ms256valid
0.0ms256valid
0.0ms256valid
Compiler

Compiled 228 to 177 computations (22.4% saved)

bsearch21.0ms (0.2%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
21.0ms
-3.0860447654783925e+147
-5.573712550672813e+144
Results
16.0ms112×256valid
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 158 to 127 computations (19.6% saved)

bsearch46.0ms (0.3%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
23.0ms
68192105700766500.0
8.29710896055132e+20
22.0ms
-7.432366417332677e+47
-8.31913105512919e+42
Results
40.0ms256×256valid
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 234 to 193 computations (17.5% saved)

bsearch41.0ms (0.3%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
18.0ms
3.974594234681274e-172
5.62512806772784e-170
22.0ms
-29676.895213105596
-1.3538644796647253e-5
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
1.0ms256valid
0.0ms256valid
0.0ms256valid
Compiler

Compiled 222 to 183 computations (17.6% saved)

simplify56.0ms (0.4%)

Algorithm
egg-herbie
Rules
74×+-commutative
64×*-commutative
30×sub-neg
20×neg-sub0
20×neg-mul-1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01291752
12041752
22401752
32611752
42731752
52761752
62771752
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(if (<=.f64 (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)) +inf.0) (+.f64 x (*.f64 y (/.f64 (fma.f64 (/.f64 (-.f64 94453173760125479739253764129/390625000000000000000000000000 (*.f64 (pow.f64 z 2) 480125098611044764748221188321/100000000000000000000000000000000)) (-.f64 307332350656623/625000000000000 (*.f64 z 692910599291889/10000000000000000))) z 11167812716741/40000000000000) (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000)))) (+.f64 x (*.f64 y (/.f64 (-.f64 (pow.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z) 2) 480125098611044764748221188321/100000000000000000000000000000000) (-.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z) 692910599291889/10000000000000000)))))
(if (<=.f64 (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)) +inf.0) (+.f64 x (*.f64 y (/.f64 (+.f64 11167812716741/40000000000000 (*.f64 z (/.f64 (+.f64 94453173760125479739253764129/390625000000000000000000000000 (*.f64 (pow.f64 z 2) -480125098611044764748221188321/100000000000000000000000000000000)) (+.f64 307332350656623/625000000000000 (*.f64 z -692910599291889/10000000000000000))))) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))) (+.f64 x (*.f64 y (/.f64 (-.f64 (pow.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z) 2) 480125098611044764748221188321/100000000000000000000000000000000) (-.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z) 692910599291889/10000000000000000)))))
(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)) 19999999999999998785071050110729243720080574440234649906381543142646409126026467805686618514881015496873712236112324345157434387485272061060471597681733765549974602883364022082135420506324881811687439605097103198153279365101643665319098224539215899610692069837325144812815208761691919724149808696276287488) (+.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 (-.f64 (pow.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z) 2) 480125098611044764748221188321/100000000000000000000000000000000) (-.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z) 692910599291889/10000000000000000)))))
(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)) 19999999999999998785071050110729243720080574440234649906381543142646409126026467805686618514881015496873712236112324345157434387485272061060471597681733765549974602883364022082135420506324881811687439605097103198153279365101643665319098224539215899610692069837325144812815208761691919724149808696276287488) (+.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 (-.f64 (pow.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z) 2) 480125098611044764748221188321/100000000000000000000000000000000) (-.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z) 692910599291889/10000000000000000)))))
(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)) 19999999999999998785071050110729243720080574440234649906381543142646409126026467805686618514881015496873712236112324345157434387485272061060471597681733765549974602883364022082135420506324881811687439605097103198153279365101643665319098224539215899610692069837325144812815208761691919724149808696276287488) (+.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 692910599291889/10000000000000000 y) x))
(if (<=.f64 z -299999999999999991891638616064) (+.f64 (*.f64 692910599291889/10000000000000000 y) x) (if (<=.f64 z 870426590122533/38685626227668133590597632) (+.f64 x (+.f64 (*.f64 279195317918525/3350343815022304 y) (*.f64 z (*.f64 y -155900051080628738716045985239/56124018394291031809500087342080)))) (+.f64 x (-.f64 (*.f64 692910599291889/10000000000000000 y) (*.f64 y (/.f64 -751220861604756070699018739433/10000000000000000000000000000000 z))))))
(if (<=.f64 z -299999999999999991891638616064) (+.f64 (*.f64 692910599291889/10000000000000000 y) x) (if (<=.f64 z 870426590122533/38685626227668133590597632) (+.f64 x (+.f64 (*.f64 279195317918525/3350343815022304 y) (*.f64 z (*.f64 y -155900051080628738716045985239/56124018394291031809500087342080)))) (+.f64 x (*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))))))
(if (<=.f64 z -299999999999999991891638616064) (+.f64 (*.f64 692910599291889/10000000000000000 y) x) (if (<=.f64 z 870426590122533/38685626227668133590597632) (+.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 -299999999999999991891638616064) (+.f64 (*.f64 692910599291889/10000000000000000 y) x) (if (<=.f64 z 870426590122533/38685626227668133590597632) (+.f64 (*.f64 279195317918525/3350343815022304 y) x) (+.f64 x (*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))))))
(if (<=.f64 z -299999999999999991891638616064) (+.f64 (*.f64 692910599291889/10000000000000000 y) x) (if (<=.f64 z 870426590122533/38685626227668133590597632) (+.f64 (*.f64 279195317918525/3350343815022304 y) x) (+.f64 (*.f64 692910599291889/10000000000000000 y) x)))
(if (<=.f64 y -3050000000000000163575084888107659848736772983581357422266937068424194068832678959038617260168996404533663806531800983982905970524307172676509630464) (*.f64 279195317918525/3350343815022304 y) (+.f64 (*.f64 692910599291889/10000000000000000 y) x))
(if (<=.f64 y -162000000000000009536915725740544422324385873920) (*.f64 279195317918525/3350343815022304 y) (if (<=.f64 y 230000000000000000000) x (*.f64 279195317918525/3350343815022304 y)))
(if (<=.f64 x -2095550126773405/147573952589676412928) x (if (<=.f64 x 7478422938860081/135971326161092377264534580877431968596375838138120172339057699379303311324378174141225600579898697131235668348479104259928724310439093053288837114564246362097620805333860664072122400768) (*.f64 692910599291889/10000000000000000 y) x))
x
Outputs
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(if (<=.f64 (/.f64 (*.f64 y (+.f64 (*.f64 z (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000)) (+.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)) 104698244219447/31250000000000)) +inf.0) (+.f64 x (*.f64 y (/.f64 (fma.f64 (/.f64 (-.f64 94453173760125479739253764129/390625000000000000000000000000 (*.f64 (pow.f64 z 2) 480125098611044764748221188321/100000000000000000000000000000000)) (-.f64 307332350656623/625000000000000 (*.f64 z 692910599291889/10000000000000000))) z 11167812716741/40000000000000) (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000)))) (+.f64 x (*.f64 y (/.f64 (-.f64 (pow.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z) 2) 480125098611044764748221188321/100000000000000000000000000000000) (-.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z) 692910599291889/10000000000000000)))))
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(if (<=.f64 z -299999999999999991891638616064) (+.f64 x (*.f64 y 692910599291889/10000000000000000)) (if (<=.f64 z 870426590122533/38685626227668133590597632) (+.f64 x (+.f64 (*.f64 y 279195317918525/3350343815022304) (*.f64 z (*.f64 y -155900051080628738716045985239/56124018394291031809500087342080)))) (+.f64 x (*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))))))
(if (<=.f64 z -299999999999999991891638616064) (+.f64 (*.f64 692910599291889/10000000000000000 y) x) (if (<=.f64 z 870426590122533/38685626227668133590597632) (+.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 -299999999999999991891638616064) (+.f64 x (*.f64 y 692910599291889/10000000000000000)) (if (<=.f64 z 870426590122533/38685626227668133590597632) (+.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 -299999999999999991891638616064) (+.f64 (*.f64 692910599291889/10000000000000000 y) x) (if (<=.f64 z 870426590122533/38685626227668133590597632) (+.f64 (*.f64 279195317918525/3350343815022304 y) x) (+.f64 x (*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))))))
(if (<=.f64 z -299999999999999991891638616064) (+.f64 x (*.f64 y 692910599291889/10000000000000000)) (if (<=.f64 z 870426590122533/38685626227668133590597632) (+.f64 x (*.f64 y 279195317918525/3350343815022304)) (+.f64 x (*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))))))
(if (<=.f64 z -299999999999999991891638616064) (+.f64 (*.f64 692910599291889/10000000000000000 y) x) (if (<=.f64 z 870426590122533/38685626227668133590597632) (+.f64 (*.f64 279195317918525/3350343815022304 y) x) (+.f64 (*.f64 692910599291889/10000000000000000 y) x)))
(if (or (<=.f64 z -299999999999999991891638616064) (not (<=.f64 z 870426590122533/38685626227668133590597632))) (+.f64 x (*.f64 y 692910599291889/10000000000000000)) (+.f64 x (*.f64 y 279195317918525/3350343815022304)))
(if (<=.f64 y -3050000000000000163575084888107659848736772983581357422266937068424194068832678959038617260168996404533663806531800983982905970524307172676509630464) (*.f64 279195317918525/3350343815022304 y) (+.f64 (*.f64 692910599291889/10000000000000000 y) x))
(if (<=.f64 y -3050000000000000163575084888107659848736772983581357422266937068424194068832678959038617260168996404533663806531800983982905970524307172676509630464) (*.f64 y 279195317918525/3350343815022304) (+.f64 x (*.f64 y 692910599291889/10000000000000000)))
(if (<=.f64 y -162000000000000009536915725740544422324385873920) (*.f64 279195317918525/3350343815022304 y) (if (<=.f64 y 230000000000000000000) x (*.f64 279195317918525/3350343815022304 y)))
(if (or (<=.f64 y -162000000000000009536915725740544422324385873920) (not (<=.f64 y 230000000000000000000))) (*.f64 y 279195317918525/3350343815022304) x)
(if (<=.f64 x -2095550126773405/147573952589676412928) x (if (<=.f64 x 7478422938860081/135971326161092377264534580877431968596375838138120172339057699379303311324378174141225600579898697131235668348479104259928724310439093053288837114564246362097620805333860664072122400768) (*.f64 692910599291889/10000000000000000 y) x))
(if (<=.f64 x -2095550126773405/147573952589676412928) x (if (<=.f64 x 7478422938860081/135971326161092377264534580877431968596375838138120172339057699379303311324378174141225600579898697131235668348479104259928724310439093053288837114564246362097620805333860664072122400768) (*.f64 y 692910599291889/10000000000000000) x))
x
Compiler

Compiled 528 to 390 computations (26.1% saved)

soundness3.4s (25.6%)

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

Useful iterations: 1 (0.0ms)

IterNodesCost
068789
1191737
2497729
31719713
45642713
033389
1512389
25817389
087428687
1228728044
038312
1623308
068789
1191737
2497729
31719713
45642713
087428687
1228728044
087428687
1228728044
087428687
1228728044
090819917
1247119531
087428687
1228728044
033389
1512389
25817389
083621493
1221620427
Stop Event
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
Compiler

Compiled 1348 to 976 computations (27.6% saved)

end1.0ms (0%)

preprocess485.0ms (3.7%)

Compiler

Compiled 1162 to 832 computations (28.4% saved)

Profiling

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