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

Time bar (total: 12.8s)

analyze132.0ms (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)

sample1.3s (9.8%)

Results
1.3s8256×256valid
Bogosity

preprocess424.0ms (3.3%)

Algorithm
egg-herbie
Rules
1648×unsub-neg
1396×fma-def
984×distribute-lft-in
862×associate-*l*
848×fma-neg
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
830-0-(/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000))
190-0-(*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000))
00-0-x
00-0-(*.f64 z 692910599291889/10000000000000000)
00-0-11167812716741/40000000000000
00-0-(+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000)
00-0-(+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)
00-0-z
00-0-(*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z)
00-0-104698244219447/31250000000000
00-0-(*.f64 (+.f64 z 6012459259764103/1000000000000000) z)
00-0-692910599291889/10000000000000000
00-0-y
00-0-(+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)
00-0-(+.f64 x (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
00-0-6012459259764103/1000000000000000
00-0-(+.f64 z 6012459259764103/1000000000000000)
00-0-307332350656623/625000000000000
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
068789
1191765
2492729
31736713
46136713
Stop Event
node limit
Calls
Call 1
Inputs
(+.f64 x (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
(+.f64 x (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
(+.f64 (neg.f64 x) (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
(+.f64 x (/.f64 (*.f64 (neg.f64 y) (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
(+.f64 x (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 (neg.f64 z) 692910599291889/10000000000000000) 307332350656623/625000000000000) (neg.f64 z)) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 (neg.f64 z) 6012459259764103/1000000000000000) (neg.f64 z)) 104698244219447/31250000000000)))
(neg.f64 (+.f64 (neg.f64 x) (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000))))
(neg.f64 (+.f64 x (/.f64 (*.f64 (neg.f64 y) (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000))))
(neg.f64 (+.f64 x (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 (neg.f64 z) 692910599291889/10000000000000000) 307332350656623/625000000000000) (neg.f64 z)) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 (neg.f64 z) 6012459259764103/1000000000000000) (neg.f64 z)) 104698244219447/31250000000000))))
(+.f64 y (/.f64 (*.f64 x (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
(+.f64 z (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 x 692910599291889/10000000000000000) 307332350656623/625000000000000) x) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 x 6012459259764103/1000000000000000) x) 104698244219447/31250000000000)))
(+.f64 x (/.f64 (*.f64 z (+.f64 (*.f64 (+.f64 (*.f64 y 692910599291889/10000000000000000) 307332350656623/625000000000000) y) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 y 6012459259764103/1000000000000000) y) 104698244219447/31250000000000)))
Outputs
(+.f64 x (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
(+.f64 x (/.f64 y (/.f64 (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000) (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000))))
(+.f64 x (*.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)))
(fma.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) x)
(fma.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) x)
(fma.f64 y (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) x)
(+.f64 x (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
(+.f64 x (/.f64 y (/.f64 (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000) (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000))))
(+.f64 x (*.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)))
(fma.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) x)
(fma.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) x)
(fma.f64 y (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) x)
(+.f64 (neg.f64 x) (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
(+.f64 (/.f64 y (/.f64 (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000) (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000))) (neg.f64 x))
(-.f64 (*.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)) x)
(-.f64 (*.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) x)
(-.f64 (*.f64 y (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) x)
(+.f64 x (/.f64 (*.f64 (neg.f64 y) (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
(+.f64 x (/.f64 (neg.f64 y) (/.f64 (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000) (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000))))
(-.f64 x (*.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)))
(-.f64 x (*.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))))
(fma.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 (neg.f64 y) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) x)
(+.f64 x (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 (neg.f64 z) 692910599291889/10000000000000000) 307332350656623/625000000000000) (neg.f64 z)) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 (neg.f64 z) 6012459259764103/1000000000000000) (neg.f64 z)) 104698244219447/31250000000000)))
(+.f64 x (/.f64 (*.f64 y (fma.f64 (fma.f64 (neg.f64 z) 692910599291889/10000000000000000 307332350656623/625000000000000) (neg.f64 z) 11167812716741/40000000000000)) (fma.f64 (+.f64 6012459259764103/1000000000000000 (neg.f64 z)) (neg.f64 z) 104698244219447/31250000000000)))
(+.f64 x (/.f64 (fma.f64 (neg.f64 z) (-.f64 307332350656623/625000000000000 (*.f64 z 692910599291889/10000000000000000)) 11167812716741/40000000000000) (/.f64 (-.f64 104698244219447/31250000000000 (*.f64 z (-.f64 6012459259764103/1000000000000000 z))) y)))
(fma.f64 (/.f64 y (-.f64 104698244219447/31250000000000 (*.f64 z (-.f64 6012459259764103/1000000000000000 z)))) (fma.f64 (neg.f64 (fma.f64 z -692910599291889/10000000000000000 307332350656623/625000000000000)) z 11167812716741/40000000000000) x)
(fma.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 -307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 y (fma.f64 z (+.f64 z -6012459259764103/1000000000000000) 104698244219447/31250000000000)) x)
(fma.f64 y (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 -307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z -6012459259764103/1000000000000000) 104698244219447/31250000000000)) x)
(neg.f64 (+.f64 (neg.f64 x) (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000))))
(+.f64 x (/.f64 (neg.f64 y) (/.f64 (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000) (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000))))
(-.f64 x (*.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)))
(-.f64 x (*.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))))
(fma.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 (neg.f64 y) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) x)
(neg.f64 (+.f64 x (/.f64 (*.f64 (neg.f64 y) (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000))))
(+.f64 (/.f64 y (/.f64 (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000) (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000))) (neg.f64 x))
(-.f64 (*.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)) x)
(-.f64 (*.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) x)
(-.f64 (*.f64 y (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) x)
(neg.f64 (+.f64 x (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 (neg.f64 z) 692910599291889/10000000000000000) 307332350656623/625000000000000) (neg.f64 z)) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 (neg.f64 z) 6012459259764103/1000000000000000) (neg.f64 z)) 104698244219447/31250000000000))))
(neg.f64 (+.f64 x (/.f64 (*.f64 y (fma.f64 (fma.f64 (neg.f64 z) 692910599291889/10000000000000000 307332350656623/625000000000000) (neg.f64 z) 11167812716741/40000000000000)) (fma.f64 (+.f64 6012459259764103/1000000000000000 (neg.f64 z)) (neg.f64 z) 104698244219447/31250000000000))))
(-.f64 (neg.f64 x) (/.f64 (fma.f64 (neg.f64 z) (-.f64 307332350656623/625000000000000 (*.f64 z 692910599291889/10000000000000000)) 11167812716741/40000000000000) (/.f64 (-.f64 104698244219447/31250000000000 (*.f64 z (-.f64 6012459259764103/1000000000000000 z))) y)))
(neg.f64 (fma.f64 (/.f64 y (-.f64 104698244219447/31250000000000 (*.f64 z (-.f64 6012459259764103/1000000000000000 z)))) (fma.f64 (neg.f64 (fma.f64 z -692910599291889/10000000000000000 307332350656623/625000000000000)) z 11167812716741/40000000000000) x))
(neg.f64 (fma.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 -307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 y (fma.f64 z (+.f64 z -6012459259764103/1000000000000000) 104698244219447/31250000000000)) x))
(neg.f64 (fma.f64 y (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 -307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z -6012459259764103/1000000000000000) 104698244219447/31250000000000)) x))
(+.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 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000) (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000))))
(+.f64 y (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) x)))
(fma.f64 (/.f64 x (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) y)
(fma.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 x (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) y)
(+.f64 z (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 x 692910599291889/10000000000000000) 307332350656623/625000000000000) x) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 x 6012459259764103/1000000000000000) x) 104698244219447/31250000000000)))
(+.f64 z (/.f64 (*.f64 y (fma.f64 (fma.f64 x 692910599291889/10000000000000000 307332350656623/625000000000000) x 11167812716741/40000000000000)) (fma.f64 (+.f64 x 6012459259764103/1000000000000000) x 104698244219447/31250000000000)))
(+.f64 z (*.f64 (/.f64 y (fma.f64 x (+.f64 x 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (fma.f64 x (fma.f64 x 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)))
(fma.f64 (/.f64 y (fma.f64 x (+.f64 x 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (fma.f64 x (fma.f64 x 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) z)
(fma.f64 (fma.f64 x (fma.f64 x 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 y (fma.f64 x (+.f64 x 6012459259764103/1000000000000000) 104698244219447/31250000000000)) z)
(+.f64 x (/.f64 (*.f64 z (+.f64 (*.f64 (+.f64 (*.f64 y 692910599291889/10000000000000000) 307332350656623/625000000000000) y) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 y 6012459259764103/1000000000000000) y) 104698244219447/31250000000000)))
(+.f64 x (/.f64 (*.f64 z (fma.f64 (fma.f64 y 692910599291889/10000000000000000 307332350656623/625000000000000) y 11167812716741/40000000000000)) (fma.f64 (+.f64 y 6012459259764103/1000000000000000) y 104698244219447/31250000000000)))
(+.f64 x (*.f64 (/.f64 z (fma.f64 y (+.f64 y 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (fma.f64 y (fma.f64 y 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)))
(fma.f64 (/.f64 z (fma.f64 y (+.f64 y 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (fma.f64 y (fma.f64 y 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) x)
(fma.f64 (/.f64 (fma.f64 y (fma.f64 y 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 y (+.f64 y 6012459259764103/1000000000000000) 104698244219447/31250000000000)) z x)
(fma.f64 z (/.f64 (fma.f64 y (fma.f64 y 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 y (+.f64 y 6012459259764103/1000000000000000) 104698244219447/31250000000000)) x)
Compiler

Compiled 228 to 166 computations (27.2% saved)

eval2.0ms (0%)

Compiler

Compiled 90 to 60 computations (33.3% saved)

prune6.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
71.4%
(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)
72.5%
(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)
67.6%
(+.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)))
72.2%
(+.f64 x (/.f64 y (/.f64 (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000) (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000))))
71.4%
(+.f64 x (*.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)))
Compiler

Compiled 212 to 152 computations (28.3% saved)

localize639.0ms (5%)

Localize:

Found 20 expressions with local error:

NewAccuracyProgram
99.8%
(fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)
99.6%
(fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)
94.2%
(/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))
72.4%
(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)
99.9%
(/.f64 y (/.f64 (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000) (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000)))
99.8%
(fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000)
99.6%
(fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)
72.3%
(/.f64 (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000) (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000))
99.8%
(fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)
99.6%
(fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)
94.2%
(/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))
68.0%
(*.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000))
99.8%
(*.f64 (+.f64 z 6012459259764103/1000000000000000) z)
99.1%
(*.f64 z 692910599291889/10000000000000000)
92.7%
(*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000))
68.5%
(/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000))
99.8%
(fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)
99.7%
(fma.f64 y (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) x)
99.6%
(fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)
73.0%
(/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))
Compiler

Compiled 360 to 248 computations (31.1% saved)

series44.0ms (0.3%)

Counts
20 → 360
Calls

90 calls:

TimeVariablePointExpression
3.0ms
x
@0
(fma.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) x)
3.0ms
z
@inf
(/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000))
2.0ms
z
@-inf
(/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000))
1.0ms
y
@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))
1.0ms
y
@0
(fma.f64 y (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) x)

rewrite464.0ms (3.6%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
036659
1576659
26348659
Stop Event
node limit
Counts
20 → 710
Calls
Call 1
Inputs
(/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))
(fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)
(fma.f64 y (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) x)
(fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)
(/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000))
(*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000))
(*.f64 z 692910599291889/10000000000000000)
(*.f64 (+.f64 z 6012459259764103/1000000000000000) z)
(*.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000))
(/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))
(fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)
(fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)
(/.f64 (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000) (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000))
(fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)
(fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000)
(/.f64 y (/.f64 (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000) (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000)))
(fma.f64 (fma.f64 z (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 (/.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 (cbrt.f64 (pow.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)) (/.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 (cbrt.f64 (pow.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 (cbrt.f64 (pow.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 (cbrt.f64 (pow.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 1 (neg.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) (neg.f64 (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) (+.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 (+.f64 z 6012459259764103/1000000000000000) (*.f64 z 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 (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)) -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)
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simplify606.0ms (4.7%)

Algorithm
egg-herbie
Rules
1326×fma-def
974×times-frac
750×distribute-rgt-in
726×distribute-lft-in
506×*-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0111554825
1302054161
Stop Event
node limit
Counts
1070 → 647
Calls
Call 1
Inputs
279195317918525/3350343815022304
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692910599291889/10000000000000000
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307332350656623/625000000000000
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(*.f64 (/.f64 (cbrt.f64 (pow.f64 y 2)) (sqrt.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) (/.f64 (cbrt.f64 y) (sqrt.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))))
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(pow.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) 1)
(pow.f64 (cbrt.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) 3)
(pow.f64 (pow.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) 2)
(pow.f64 (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) y) -1)
(neg.f64 (/.f64 y (neg.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))))
(sqrt.f64 (pow.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) 2))
(log.f64 (exp.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))))
(cbrt.f64 (pow.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) 3))
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(expm1.f64 (log1p.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))))
(exp.f64 (log.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))))
(exp.f64 (*.f64 (log.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) 1))
(log1p.f64 (expm1.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))))
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(+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000))) 1)
(-.f64 (/.f64 (*.f64 (pow.f64 z 2) 480125098611044764748221188321/100000000000000000000000000000000) (fma.f64 z 692910599291889/10000000000000000 -307332350656623/625000000000000)) (/.f64 94453173760125479739253764129/390625000000000000000000000000 (fma.f64 z 692910599291889/10000000000000000 -307332350656623/625000000000000)))
(*.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 1)
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(*.f64 (sqrt.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) (sqrt.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)))
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(/.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))))
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(/.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)))
(exp.f64 (log.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)))
(exp.f64 (*.f64 (log.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 1))
(log1p.f64 (expm1.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)))
(+.f64 11167812716741/40000000000000 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)))
(+.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 11167812716741/40000000000000)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000))) 1)
(-.f64 (/.f64 (pow.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 2) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) -11167812716741/40000000000000)) (/.f64 124720040876201995101661081/1600000000000000000000000000 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) -11167812716741/40000000000000)))
(*.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) 1)
(*.f64 1 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000))
(*.f64 (cbrt.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)) (cbrt.f64 (pow.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) 2)))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) 2)) (cbrt.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)))
(*.f64 (sqrt.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)) (sqrt.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)))
(*.f64 (+.f64 (pow.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 3) 1392850058529705972970166011484436857021/64000000000000000000000000000000000000000) (/.f64 1 (+.f64 (pow.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 2) (-.f64 124720040876201995101661081/1600000000000000000000000000 (*.f64 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)))
(exp.f64 (log.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)))
(exp.f64 (*.f64 (log.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)) 1))
(log1p.f64 (expm1.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)))
Outputs
279195317918525/3350343815022304
(+.f64 279195317918525/3350343815022304 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z))
(fma.f64 -155900051080628738716045985239/56124018394291031809500087342080 z 279195317918525/3350343815022304)
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(/.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 (pow.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 2) (*.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 (neg.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 11167812716741/40000000000000 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)))))))
(*.f64 1 (/.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 (neg.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)) (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)
(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)))
(fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)
(exp.f64 (log.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)))
(fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)
(exp.f64 (*.f64 (log.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)) 1))
(fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)
(log1p.f64 (expm1.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)))
(fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)

eval689.0ms (5.4%)

Compiler

Compiled 25440 to 18187 computations (28.5% saved)

prune214.0ms (1.7%)

Pruning

13 alts after pruning (13 fresh and 0 done)

PrunedKeptTotal
New95713970
Fresh000
Picked505
Done000
Total96213975
Accuracy
100.0%
Counts
975 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
33.4%
(/.f64 (*.f64 y (+.f64 11167812716741/40000000000000 (*.f64 z (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z))))) (+.f64 104698244219447/31250000000000 (*.f64 z (+.f64 6012459259764103/1000000000000000 z))))
73.9%
(+.f64 x (/.f64 (+.f64 (*.f64 z (*.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) y)) (*.f64 11167812716741/40000000000000 y)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
62.7%
(+.f64 x (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (cbrt.f64 (*.f64 (pow.f64 z 3) 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000)) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
75.7%
(+.f64 x (/.f64 y (-.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z))))
77.2%
(+.f64 x (/.f64 y (+.f64 3350343815022304/279195317918525 (*.f64 z 155900051080628738716045985239/389750127738131234692690878125))))
79.8%
(+.f64 x (/.f64 y 10000000000000000/692910599291889))
80.8%
(+.f64 x (/.f64 y 3350343815022304/279195317918525))
65.5%
(+.f64 x (-.f64 (*.f64 692910599291889/10000000000000000 y) (/.f64 (*.f64 y -751220861604756070699018739433/10000000000000000000000000000000) z)))
71.1%
(+.f64 x (*.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (fma.f64 z (/.f64 (-.f64 94453173760125479739253764129/390625000000000000000000000000 (*.f64 (pow.f64 z 2) 480125098611044764748221188321/100000000000000000000000000000000)) (-.f64 307332350656623/625000000000000 (*.f64 z 692910599291889/10000000000000000))) 11167812716741/40000000000000)))
80.8%
(+.f64 x (*.f64 279195317918525/3350343815022304 y))
79.6%
(+.f64 x (*.f64 692910599291889/10000000000000000 y))
36.5%
(*.f64 y (+.f64 (*.f64 11167812716741/40000000000000 (/.f64 1 (+.f64 104698244219447/31250000000000 (*.f64 z (+.f64 6012459259764103/1000000000000000 z))))) (/.f64 (*.f64 z (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z))) (+.f64 104698244219447/31250000000000 (*.f64 z (+.f64 6012459259764103/1000000000000000 z))))))
52.9%
x
Compiler

Compiled 420 to 318 computations (24.3% saved)

localize185.0ms (1.4%)

Localize:

Found 12 expressions with local error:

NewAccuracyProgram
99.7%
(*.f64 z (*.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) y))
99.6%
(fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)
99.2%
(*.f64 11167812716741/40000000000000 y)
68.5%
(/.f64 (+.f64 (*.f64 z (*.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) y)) (*.f64 11167812716741/40000000000000 y)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000))
100.0%
(+.f64 x (-.f64 (*.f64 692910599291889/10000000000000000 y) (/.f64 (*.f64 y -751220861604756070699018739433/10000000000000000000000000000000) z)))
99.7%
(/.f64 (*.f64 y -751220861604756070699018739433/10000000000000000000000000000000) z)
99.7%
(*.f64 y -751220861604756070699018739433/10000000000000000000000000000000)
99.2%
(*.f64 692910599291889/10000000000000000 y)
100.0%
(+.f64 x (/.f64 y 10000000000000000/692910599291889))
99.9%
(/.f64 y 10000000000000000/692910599291889)
100.0%
(+.f64 x (/.f64 y 3350343815022304/279195317918525))
99.9%
(/.f64 y 3350343815022304/279195317918525)
Compiler

Compiled 161 to 104 computations (35.4% saved)

series18.0ms (0.1%)

Counts
11 → 192
Calls

54 calls:

TimeVariablePointExpression
2.0ms
x
@0
(+.f64 x (-.f64 (*.f64 692910599291889/10000000000000000 y) (/.f64 (*.f64 y -751220861604756070699018739433/10000000000000000000000000000000) z)))
1.0ms
y
@inf
(/.f64 (+.f64 (*.f64 z (*.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) y)) (*.f64 11167812716741/40000000000000 y)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000))
1.0ms
y
@-inf
(/.f64 (+.f64 (*.f64 z (*.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) y)) (*.f64 11167812716741/40000000000000 y)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000))
1.0ms
y
@0
(/.f64 (+.f64 (*.f64 z (*.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) y)) (*.f64 11167812716741/40000000000000 y)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000))
1.0ms
y
@inf
(/.f64 (*.f64 y -751220861604756070699018739433/10000000000000000000000000000000) z)

rewrite131.0ms (1%)

Algorithm
batch-egg-rewrite
Rules
410×associate-*r*
280×associate-*l*
247×log1p-expm1-u
247×expm1-log1p-u
243×add-cube-cbrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
036247
1554230
Stop Event
node limit
Counts
11 → 300
Calls
Call 1
Inputs
(/.f64 y 3350343815022304/279195317918525)
(+.f64 x (/.f64 y 3350343815022304/279195317918525))
(/.f64 y 10000000000000000/692910599291889)
(+.f64 x (/.f64 y 10000000000000000/692910599291889))
(*.f64 692910599291889/10000000000000000 y)
(*.f64 y -751220861604756070699018739433/10000000000000000000000000000000)
(/.f64 (*.f64 y -751220861604756070699018739433/10000000000000000000000000000000) z)
(+.f64 x (-.f64 (*.f64 692910599291889/10000000000000000 y) (/.f64 (*.f64 y -751220861604756070699018739433/10000000000000000000000000000000) z)))
(/.f64 (+.f64 (*.f64 z (*.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) y)) (*.f64 11167812716741/40000000000000 y)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000))
(*.f64 11167812716741/40000000000000 y)
(*.f64 z (*.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) y))
Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 y 279195317918525/3350343815022304))) 1)
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(pow.f64 (pow.f64 (/.f64 (*.f64 y (+.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 11167812716741/40000000000000)) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) 3) 1/3)
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simplify195.0ms (1.5%)

Algorithm
egg-herbie
Rules
1036×fma-def
938×associate-*l*
924×associate-*r*
492×times-frac
432×distribute-rgt-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
077516567
1207015011
Stop Event
node limit
Counts
492 → 427
Calls
Call 1
Inputs
(*.f64 279195317918525/3350343815022304 y)
(*.f64 279195317918525/3350343815022304 y)
(*.f64 279195317918525/3350343815022304 y)
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(*.f64 (/.f64 (sqrt.f64 (*.f64 y (+.f64 (*.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 (*.f64 y (+.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 11167812716741/40000000000000))) (cbrt.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))))
(pow.f64 (/.f64 (*.f64 y (+.f64 (*.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 (*.f64 y (+.f64 (*.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 (*.f64 y (+.f64 (*.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 (*.f64 y (+.f64 (*.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 (+.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 11167812716741/40000000000000))) -1)
(neg.f64 (/.f64 (*.f64 y (+.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 11167812716741/40000000000000)) (neg.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))))
(sqrt.f64 (pow.f64 (/.f64 (*.f64 y (+.f64 (*.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 (*.f64 y (+.f64 (*.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 (*.f64 y (+.f64 (*.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 (*.f64 y (+.f64 (*.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 y (+.f64 (*.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 (*.f64 y (+.f64 (*.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 (*.f64 y (+.f64 (*.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 (*.f64 y (+.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 11167812716741/40000000000000)) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) 1))
(log1p.f64 (expm1.f64 (/.f64 (*.f64 y (+.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 11167812716741/40000000000000)) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y 11167812716741/40000000000000))) 1)
(pow.f64 (*.f64 y 11167812716741/40000000000000) 1)
(pow.f64 (cbrt.f64 (*.f64 y 11167812716741/40000000000000)) 3)
(pow.f64 (*.f64 (pow.f64 y 3) 1392850058529705972970166011484436857021/64000000000000000000000000000000000000000) 1/3)
(pow.f64 (sqrt.f64 (*.f64 y 11167812716741/40000000000000)) 2)
(sqrt.f64 (*.f64 (pow.f64 y 2) 124720040876201995101661081/1600000000000000000000000000))
(log.f64 (pow.f64 (exp.f64 y) 11167812716741/40000000000000))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 y 11167812716741/40000000000000))))
(cbrt.f64 (*.f64 (pow.f64 y 3) 1392850058529705972970166011484436857021/64000000000000000000000000000000000000000))
(expm1.f64 (log1p.f64 (*.f64 y 11167812716741/40000000000000)))
(exp.f64 (log.f64 (*.f64 y 11167812716741/40000000000000)))
(exp.f64 (*.f64 (log.f64 (*.f64 y 11167812716741/40000000000000)) 1))
(log1p.f64 (expm1.f64 (*.f64 y 11167812716741/40000000000000)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (*.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z)))) 1)
(pow.f64 (*.f64 y (*.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z)) 1)
(pow.f64 (cbrt.f64 (*.f64 y (*.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z))) 3)
(pow.f64 (pow.f64 (*.f64 y (*.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 y (*.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z))) 2)
(sqrt.f64 (pow.f64 (*.f64 y (*.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z)) 2))
(log.f64 (pow.f64 (exp.f64 z) (*.f64 y (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 y (*.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z)))))
(cbrt.f64 (pow.f64 (*.f64 y (*.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z)) 3))
(expm1.f64 (log1p.f64 (*.f64 y (*.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z))))
(exp.f64 (log.f64 (*.f64 y (*.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z))))
(exp.f64 (*.f64 (log.f64 (*.f64 y (*.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z))) 1))
(log1p.f64 (expm1.f64 (*.f64 y (*.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z))))
Outputs
(*.f64 279195317918525/3350343815022304 y)
(*.f64 279195317918525/3350343815022304 y)
(*.f64 279195317918525/3350343815022304 y)
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(*.f64 279195317918525/3350343815022304 y)
(*.f64 279195317918525/3350343815022304 y)
(*.f64 279195317918525/3350343815022304 y)
(*.f64 279195317918525/3350343815022304 y)
(*.f64 279195317918525/3350343815022304 y)
(*.f64 279195317918525/3350343815022304 y)
(*.f64 279195317918525/3350343815022304 y)
(*.f64 279195317918525/3350343815022304 y)
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x
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x
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x
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(*.f64 279195317918525/3350343815022304 y)
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(*.f64 692910599291889/10000000000000000 y)
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x
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(+.f64 x (*.f64 692910599291889/10000000000000000 y))
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(*.f64 -751220861604756070699018739433/10000000000000000000000000000000 y)
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(*.f64 -751220861604756070699018739433/10000000000000000000000000000000 y)
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(cbrt.f64 (pow.f64 (/.f64 (*.f64 y (+.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 11167812716741/40000000000000)) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) 3))
(/.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 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000)) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 y (+.f64 (*.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 (+.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 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000)) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))
(expm1.f64 (log1p.f64 (/.f64 (*.f64 y (+.f64 (*.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 (+.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 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000)) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))
(exp.f64 (log.f64 (/.f64 (*.f64 y (+.f64 (*.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 (+.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 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000)) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 y (+.f64 (*.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 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000)) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))
(log1p.f64 (expm1.f64 (/.f64 (*.f64 y (+.f64 (*.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 (+.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 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000)) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y 11167812716741/40000000000000))) 1)
(*.f64 y 11167812716741/40000000000000)
(pow.f64 (*.f64 y 11167812716741/40000000000000) 1)
(*.f64 y 11167812716741/40000000000000)
(pow.f64 (cbrt.f64 (*.f64 y 11167812716741/40000000000000)) 3)
(*.f64 y 11167812716741/40000000000000)
(pow.f64 (*.f64 (pow.f64 y 3) 1392850058529705972970166011484436857021/64000000000000000000000000000000000000000) 1/3)
(cbrt.f64 (*.f64 (pow.f64 y 3) 1392850058529705972970166011484436857021/64000000000000000000000000000000000000000))
(pow.f64 (sqrt.f64 (*.f64 y 11167812716741/40000000000000)) 2)
(*.f64 y 11167812716741/40000000000000)
(sqrt.f64 (*.f64 (pow.f64 y 2) 124720040876201995101661081/1600000000000000000000000000))
(log.f64 (pow.f64 (exp.f64 y) 11167812716741/40000000000000))
(*.f64 y 11167812716741/40000000000000)
(log.f64 (+.f64 1 (expm1.f64 (*.f64 y 11167812716741/40000000000000))))
(*.f64 y 11167812716741/40000000000000)
(cbrt.f64 (*.f64 (pow.f64 y 3) 1392850058529705972970166011484436857021/64000000000000000000000000000000000000000))
(expm1.f64 (log1p.f64 (*.f64 y 11167812716741/40000000000000)))
(*.f64 y 11167812716741/40000000000000)
(exp.f64 (log.f64 (*.f64 y 11167812716741/40000000000000)))
(*.f64 y 11167812716741/40000000000000)
(exp.f64 (*.f64 (log.f64 (*.f64 y 11167812716741/40000000000000)) 1))
(*.f64 y 11167812716741/40000000000000)
(log1p.f64 (expm1.f64 (*.f64 y 11167812716741/40000000000000)))
(*.f64 y 11167812716741/40000000000000)
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (*.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z)))) 1)
(fma.f64 692910599291889/10000000000000000 (*.f64 y (pow.f64 z 2)) (*.f64 307332350656623/625000000000000 (*.f64 y z)))
(*.f64 (*.f64 y z) (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000))
(pow.f64 (*.f64 y (*.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z)) 1)
(fma.f64 692910599291889/10000000000000000 (*.f64 y (pow.f64 z 2)) (*.f64 307332350656623/625000000000000 (*.f64 y z)))
(*.f64 (*.f64 y z) (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000))
(pow.f64 (cbrt.f64 (*.f64 y (*.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z))) 3)
(fma.f64 692910599291889/10000000000000000 (*.f64 y (pow.f64 z 2)) (*.f64 307332350656623/625000000000000 (*.f64 y z)))
(*.f64 (*.f64 y z) (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000))
(pow.f64 (pow.f64 (*.f64 y (*.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z)) 3) 1/3)
(fma.f64 692910599291889/10000000000000000 (*.f64 y (pow.f64 z 2)) (*.f64 307332350656623/625000000000000 (*.f64 y z)))
(*.f64 (*.f64 y z) (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000))
(pow.f64 (sqrt.f64 (*.f64 y (*.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z))) 2)
(fma.f64 692910599291889/10000000000000000 (*.f64 y (pow.f64 z 2)) (*.f64 307332350656623/625000000000000 (*.f64 y z)))
(*.f64 (*.f64 y z) (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000))
(sqrt.f64 (pow.f64 (*.f64 y (*.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z)) 2))
(sqrt.f64 (pow.f64 (*.f64 y (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000))) 2))
(fabs.f64 (*.f64 (*.f64 y z) (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000)))
(log.f64 (pow.f64 (exp.f64 z) (*.f64 y (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000))))
(fma.f64 692910599291889/10000000000000000 (*.f64 y (pow.f64 z 2)) (*.f64 307332350656623/625000000000000 (*.f64 y z)))
(*.f64 (*.f64 y z) (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 y (*.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z)))))
(fma.f64 692910599291889/10000000000000000 (*.f64 y (pow.f64 z 2)) (*.f64 307332350656623/625000000000000 (*.f64 y z)))
(*.f64 (*.f64 y z) (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000))
(cbrt.f64 (pow.f64 (*.f64 y (*.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z)) 3))
(fma.f64 692910599291889/10000000000000000 (*.f64 y (pow.f64 z 2)) (*.f64 307332350656623/625000000000000 (*.f64 y z)))
(*.f64 (*.f64 y z) (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000))
(expm1.f64 (log1p.f64 (*.f64 y (*.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z))))
(fma.f64 692910599291889/10000000000000000 (*.f64 y (pow.f64 z 2)) (*.f64 307332350656623/625000000000000 (*.f64 y z)))
(*.f64 (*.f64 y z) (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000))
(exp.f64 (log.f64 (*.f64 y (*.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z))))
(fma.f64 692910599291889/10000000000000000 (*.f64 y (pow.f64 z 2)) (*.f64 307332350656623/625000000000000 (*.f64 y z)))
(*.f64 (*.f64 y z) (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000))
(exp.f64 (*.f64 (log.f64 (*.f64 y (*.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z))) 1))
(fma.f64 692910599291889/10000000000000000 (*.f64 y (pow.f64 z 2)) (*.f64 307332350656623/625000000000000 (*.f64 y z)))
(*.f64 (*.f64 y z) (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000))
(log1p.f64 (expm1.f64 (*.f64 y (*.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z))))
(fma.f64 692910599291889/10000000000000000 (*.f64 y (pow.f64 z 2)) (*.f64 307332350656623/625000000000000 (*.f64 y z)))
(*.f64 (*.f64 y z) (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000))

eval322.0ms (2.5%)

Compiler

Compiled 9782 to 6805 computations (30.4% saved)

prune143.0ms (1.1%)

Pruning

14 alts after pruning (11 fresh and 3 done)

PrunedKeptTotal
New4687475
Fresh448
Picked235
Done000
Total47414488
Accuracy
100.0%
Counts
488 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
33.4%
(/.f64 (*.f64 y (+.f64 11167812716741/40000000000000 (*.f64 z (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z))))) (+.f64 104698244219447/31250000000000 (*.f64 z (+.f64 6012459259764103/1000000000000000 z))))
24.6%
(-.f64 (*.f64 692910599291889/10000000000000000 y) (*.f64 -751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)))
67.6%
(+.f64 x (/.f64 (+.f64 (*.f64 z (*.f64 (/.f64 (-.f64 94453173760125479739253764129/390625000000000000000000000000 (*.f64 (pow.f64 z 2) 480125098611044764748221188321/100000000000000000000000000000000)) (-.f64 307332350656623/625000000000000 (*.f64 z 692910599291889/10000000000000000))) y)) (*.f64 11167812716741/40000000000000 y)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
73.9%
(+.f64 x (/.f64 (+.f64 (*.f64 z (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) y)) (*.f64 11167812716741/40000000000000 y)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
75.7%
(+.f64 x (/.f64 y (-.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z))))
77.2%
(+.f64 x (/.f64 y (+.f64 3350343815022304/279195317918525 (*.f64 z 155900051080628738716045985239/389750127738131234692690878125))))
79.8%
(+.f64 x (/.f64 y 10000000000000000/692910599291889))
80.8%
(+.f64 x (/.f64 y 3350343815022304/279195317918525))
65.6%
(+.f64 x (-.f64 (/.f64 1 (/.f64 10000000000000000/692910599291889 y)) (/.f64 (*.f64 y -751220861604756070699018739433/10000000000000000000000000000000) z)))
80.8%
(+.f64 x (*.f64 y 279195317918525/3350343815022304))
79.6%
(+.f64 x (*.f64 y 692910599291889/10000000000000000))
36.5%
(*.f64 y (+.f64 (*.f64 11167812716741/40000000000000 (/.f64 1 (+.f64 104698244219447/31250000000000 (*.f64 z (+.f64 6012459259764103/1000000000000000 z))))) (/.f64 (*.f64 z (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z))) (+.f64 104698244219447/31250000000000 (*.f64 z (+.f64 6012459259764103/1000000000000000 z))))))
24.6%
(*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)))
52.9%
x
Compiler

Compiled 404 to 307 computations (24% saved)

localize217.0ms (1.7%)

Localize:

Found 14 expressions with local error:

NewAccuracyProgram
99.8%
(*.f64 z (+.f64 6012459259764103/1000000000000000 z))
99.1%
(*.f64 692910599291889/10000000000000000 z)
92.7%
(*.f64 y (+.f64 11167812716741/40000000000000 (*.f64 z (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z)))))
68.5%
(/.f64 (*.f64 y (+.f64 11167812716741/40000000000000 (*.f64 z (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z))))) (+.f64 104698244219447/31250000000000 (*.f64 z (+.f64 6012459259764103/1000000000000000 z))))
100.0%
(-.f64 (*.f64 692910599291889/10000000000000000 y) (*.f64 -751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)))
99.7%
(*.f64 -751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z))
99.2%
(*.f64 692910599291889/10000000000000000 y)
100.0%
(+.f64 x (/.f64 y (+.f64 3350343815022304/279195317918525 (*.f64 z 155900051080628738716045985239/389750127738131234692690878125))))
99.9%
(*.f64 z 155900051080628738716045985239/389750127738131234692690878125)
99.8%
(/.f64 y (+.f64 3350343815022304/279195317918525 (*.f64 z 155900051080628738716045985239/389750127738131234692690878125)))
100.0%
(+.f64 x (*.f64 y 692910599291889/10000000000000000))
99.2%
(*.f64 y 692910599291889/10000000000000000)
100.0%
(+.f64 x (*.f64 y 279195317918525/3350343815022304))
99.8%
(*.f64 y 279195317918525/3350343815022304)
Compiler

Compiled 155 to 102 computations (34.2% saved)

series15.0ms (0.1%)

Counts
13 → 204
Calls

66 calls:

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

rewrite196.0ms (1.5%)

Algorithm
batch-egg-rewrite
Rules
298×log1p-expm1-u
298×expm1-log1p-u
293×add-cube-cbrt
291×add-exp-log
291×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
039319
1655279
Stop Event
node limit
Counts
13 → 334
Calls
Call 1
Inputs
(*.f64 y 279195317918525/3350343815022304)
(+.f64 x (*.f64 y 279195317918525/3350343815022304))
(*.f64 y 692910599291889/10000000000000000)
(+.f64 x (*.f64 y 692910599291889/10000000000000000))
(/.f64 y (+.f64 3350343815022304/279195317918525 (*.f64 z 155900051080628738716045985239/389750127738131234692690878125)))
(*.f64 z 155900051080628738716045985239/389750127738131234692690878125)
(+.f64 x (/.f64 y (+.f64 3350343815022304/279195317918525 (*.f64 z 155900051080628738716045985239/389750127738131234692690878125))))
(*.f64 -751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z))
(-.f64 (*.f64 692910599291889/10000000000000000 y) (*.f64 -751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)))
(/.f64 (*.f64 y (+.f64 11167812716741/40000000000000 (*.f64 z (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z))))) (+.f64 104698244219447/31250000000000 (*.f64 z (+.f64 6012459259764103/1000000000000000 z))))
(*.f64 y (+.f64 11167812716741/40000000000000 (*.f64 z (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z)))))
(*.f64 692910599291889/10000000000000000 z)
(*.f64 z (+.f64 6012459259764103/1000000000000000 z))
Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 y 279195317918525/3350343815022304))) 1)
(pow.f64 (*.f64 y 279195317918525/3350343815022304) 1)
(pow.f64 (cbrt.f64 (*.f64 y 279195317918525/3350343815022304)) 3)
(pow.f64 (*.f64 (pow.f64 y 3) 21763282164526655827658843929444325890953125/37606951580302195967838628608395321436655550464) 1/3)
(pow.f64 (sqrt.f64 (*.f64 y 279195317918525/3350343815022304)) 2)
(sqrt.f64 (pow.f64 (*.f64 y 279195317918525/3350343815022304) 2))
(log.f64 (pow.f64 (exp.f64 y) 279195317918525/3350343815022304))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 y 279195317918525/3350343815022304))))
(cbrt.f64 (*.f64 (pow.f64 y 3) 21763282164526655827658843929444325890953125/37606951580302195967838628608395321436655550464))
(expm1.f64 (log1p.f64 (*.f64 y 279195317918525/3350343815022304)))
(exp.f64 (log.f64 (*.f64 y 279195317918525/3350343815022304)))
(exp.f64 (*.f64 (log.f64 (*.f64 y 279195317918525/3350343815022304)) 1))
(log1p.f64 (expm1.f64 (*.f64 y 279195317918525/3350343815022304)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 y 279195317918525/3350343815022304 x))) 1)
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(fma.f64 6012459259764103/1000000000000000 z (pow.f64 z 2))

simplify243.0ms (1.9%)

Algorithm
egg-herbie
Rules
1172×fma-def
1100×associate-*r*
990×associate-*l*
412×sqr-pow
374×cancel-sign-sub-inv
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
092119675
1249318023
Stop Event
node limit
Counts
538 → 525
Calls
Call 1
Inputs
(*.f64 279195317918525/3350343815022304 y)
(*.f64 279195317918525/3350343815022304 y)
(*.f64 279195317918525/3350343815022304 y)
(*.f64 279195317918525/3350343815022304 y)
(*.f64 279195317918525/3350343815022304 y)
(*.f64 279195317918525/3350343815022304 y)
(*.f64 279195317918525/3350343815022304 y)
(*.f64 279195317918525/3350343815022304 y)
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x
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x
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(log.f64 (exp.f64 (/.f64 y (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) (fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 y (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) (fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000))))))
(cbrt.f64 (pow.f64 (/.f64 y (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) (fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000))) 3))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 y (fma.f64 z (fma.f64 692910599291889/10000000000000000 z 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 (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) (fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000)))))
(exp.f64 (log.f64 (/.f64 y (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) (fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000)))))
(exp.f64 (*.f64 (log.f64 (/.f64 y (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) (fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000)))) 1))
(log1p.f64 (expm1.f64 (/.f64 y (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) (fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000)))))
(+.f64 (*.f64 y 11167812716741/40000000000000) (*.f64 y (*.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000))))
(+.f64 (*.f64 11167812716741/40000000000000 y) (*.f64 (*.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000)) y))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000)))) 1)
(/.f64 (+.f64 (pow.f64 (*.f64 y 11167812716741/40000000000000) 3) (pow.f64 (*.f64 y (*.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000))) 3)) (+.f64 (*.f64 (*.f64 y 11167812716741/40000000000000) (*.f64 y 11167812716741/40000000000000)) (-.f64 (*.f64 (*.f64 y (*.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000))) (*.f64 y (*.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000)))) (*.f64 (*.f64 y 11167812716741/40000000000000) (*.f64 y (*.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000)))))))
(/.f64 (+.f64 (pow.f64 (*.f64 11167812716741/40000000000000 y) 3) (pow.f64 (*.f64 (*.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000)) y) 3)) (+.f64 (*.f64 (*.f64 11167812716741/40000000000000 y) (*.f64 11167812716741/40000000000000 y)) (-.f64 (*.f64 (*.f64 (*.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000)) y) (*.f64 (*.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000)) y)) (*.f64 (*.f64 11167812716741/40000000000000 y) (*.f64 (*.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000)) y)))))
(/.f64 (-.f64 (*.f64 (*.f64 y 11167812716741/40000000000000) (*.f64 y 11167812716741/40000000000000)) (*.f64 (*.f64 y (*.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000))) (*.f64 y (*.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000))))) (-.f64 (*.f64 y 11167812716741/40000000000000) (*.f64 y (*.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000)))))
(/.f64 (-.f64 (*.f64 (*.f64 11167812716741/40000000000000 y) (*.f64 11167812716741/40000000000000 y)) (*.f64 (*.f64 (*.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000)) y) (*.f64 (*.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000)) y))) (-.f64 (*.f64 11167812716741/40000000000000 y) (*.f64 (*.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000)) y)))
(pow.f64 (*.f64 y (fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000)) 1)
(pow.f64 (cbrt.f64 (*.f64 y (fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000))) 3)
(pow.f64 (pow.f64 (*.f64 y (fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 y (fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000))) 2)
(sqrt.f64 (pow.f64 (*.f64 y (fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000)) 2))
(log.f64 (pow.f64 (exp.f64 (fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000)) y))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 y (fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000)))))
(cbrt.f64 (pow.f64 (*.f64 y (fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000)) 3))
(cbrt.f64 (*.f64 (pow.f64 y 3) (pow.f64 (fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000) 3)))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000) 3) (pow.f64 y 3)))
(expm1.f64 (log1p.f64 (*.f64 y (fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000))))
(exp.f64 (log.f64 (*.f64 y (fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000))))
(exp.f64 (*.f64 (log.f64 (*.f64 y (fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000))) 1))
(log1p.f64 (expm1.f64 (*.f64 y (fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000))))
(fma.f64 y 11167812716741/40000000000000 (*.f64 y (*.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000))))
(fma.f64 11167812716741/40000000000000 y (*.f64 (*.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000)) y))
(-.f64 (exp.f64 (log1p.f64 (*.f64 692910599291889/10000000000000000 z))) 1)
(pow.f64 (*.f64 692910599291889/10000000000000000 z) 1)
(pow.f64 (cbrt.f64 (*.f64 692910599291889/10000000000000000 z)) 3)
(pow.f64 (*.f64 (pow.f64 z 3) 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000) 1/3)
(pow.f64 (sqrt.f64 (*.f64 692910599291889/10000000000000000 z)) 2)
(sqrt.f64 (pow.f64 (*.f64 692910599291889/10000000000000000 z) 2))
(log.f64 (pow.f64 (exp.f64 z) 692910599291889/10000000000000000))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 692910599291889/10000000000000000 z))))
(cbrt.f64 (*.f64 (pow.f64 z 3) 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000))
(expm1.f64 (log1p.f64 (*.f64 692910599291889/10000000000000000 z)))
(exp.f64 (log.f64 (*.f64 692910599291889/10000000000000000 z)))
(exp.f64 (*.f64 (log.f64 (*.f64 692910599291889/10000000000000000 z)) 1))
(log1p.f64 (expm1.f64 (*.f64 692910599291889/10000000000000000 z)))
(+.f64 (*.f64 6012459259764103/1000000000000000 z) (pow.f64 z 2))
(+.f64 (*.f64 z 6012459259764103/1000000000000000) (pow.f64 z 2))
(-.f64 (exp.f64 (log1p.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)))) 1)
(/.f64 (+.f64 (pow.f64 (*.f64 6012459259764103/1000000000000000 z) 3) (pow.f64 (pow.f64 z 2) 3)) (+.f64 (*.f64 (*.f64 6012459259764103/1000000000000000 z) (*.f64 6012459259764103/1000000000000000 z)) (-.f64 (*.f64 (pow.f64 z 2) (pow.f64 z 2)) (*.f64 (*.f64 6012459259764103/1000000000000000 z) (pow.f64 z 2)))))
(/.f64 (+.f64 (pow.f64 (*.f64 z 6012459259764103/1000000000000000) 3) (pow.f64 (pow.f64 z 2) 3)) (+.f64 (*.f64 (*.f64 z 6012459259764103/1000000000000000) (*.f64 z 6012459259764103/1000000000000000)) (-.f64 (*.f64 (pow.f64 z 2) (pow.f64 z 2)) (*.f64 (*.f64 z 6012459259764103/1000000000000000) (pow.f64 z 2)))))
(/.f64 (-.f64 (*.f64 (*.f64 6012459259764103/1000000000000000 z) (*.f64 6012459259764103/1000000000000000 z)) (*.f64 (pow.f64 z 2) (pow.f64 z 2))) (-.f64 (*.f64 6012459259764103/1000000000000000 z) (pow.f64 z 2)))
(/.f64 (-.f64 (*.f64 (*.f64 z 6012459259764103/1000000000000000) (*.f64 z 6012459259764103/1000000000000000)) (*.f64 (pow.f64 z 2) (pow.f64 z 2))) (-.f64 (*.f64 z 6012459259764103/1000000000000000) (pow.f64 z 2)))
(pow.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)) 1)
(pow.f64 (cbrt.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000))) 3)
(pow.f64 (pow.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000))) 2)
(sqrt.f64 (pow.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)) 2))
(log.f64 (pow.f64 (exp.f64 z) (+.f64 z 6012459259764103/1000000000000000)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)))))
(cbrt.f64 (pow.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)) 3))
(expm1.f64 (log1p.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000))))
(exp.f64 (log.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000))))
(exp.f64 (*.f64 (log.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000))) 1))
(log1p.f64 (expm1.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000))))
(fma.f64 z 6012459259764103/1000000000000000 (pow.f64 z 2))
(fma.f64 6012459259764103/1000000000000000 z (pow.f64 z 2))
Outputs
(*.f64 279195317918525/3350343815022304 y)
(*.f64 279195317918525/3350343815022304 y)
(*.f64 279195317918525/3350343815022304 y)
(*.f64 279195317918525/3350343815022304 y)
(*.f64 279195317918525/3350343815022304 y)
(*.f64 279195317918525/3350343815022304 y)
(*.f64 279195317918525/3350343815022304 y)
(*.f64 279195317918525/3350343815022304 y)
(*.f64 279195317918525/3350343815022304 y)
(*.f64 279195317918525/3350343815022304 y)
(*.f64 279195317918525/3350343815022304 y)
(*.f64 279195317918525/3350343815022304 y)
(*.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)
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 692910599291889/10000000000000000 y)
(*.f64 y 692910599291889/10000000000000000)
(*.f64 692910599291889/10000000000000000 y)
(*.f64 y 692910599291889/10000000000000000)
(*.f64 692910599291889/10000000000000000 y)
(*.f64 y 692910599291889/10000000000000000)
(*.f64 692910599291889/10000000000000000 y)
(*.f64 y 692910599291889/10000000000000000)
(*.f64 692910599291889/10000000000000000 y)
(*.f64 y 692910599291889/10000000000000000)
(*.f64 692910599291889/10000000000000000 y)
(*.f64 y 692910599291889/10000000000000000)
(*.f64 692910599291889/10000000000000000 y)
(*.f64 y 692910599291889/10000000000000000)
(*.f64 692910599291889/10000000000000000 y)
(*.f64 y 692910599291889/10000000000000000)
(*.f64 692910599291889/10000000000000000 y)
(*.f64 y 692910599291889/10000000000000000)
(*.f64 692910599291889/10000000000000000 y)
(*.f64 y 692910599291889/10000000000000000)
(*.f64 692910599291889/10000000000000000 y)
(*.f64 y 692910599291889/10000000000000000)
(*.f64 692910599291889/10000000000000000 y)
(*.f64 y 692910599291889/10000000000000000)
(*.f64 692910599291889/10000000000000000 y)
(*.f64 y 692910599291889/10000000000000000)
(+.f64 x (*.f64 692910599291889/10000000000000000 y))
(fma.f64 y 692910599291889/10000000000000000 x)
(+.f64 x (*.f64 692910599291889/10000000000000000 y))
(fma.f64 y 692910599291889/10000000000000000 x)
(+.f64 x (*.f64 692910599291889/10000000000000000 y))
(fma.f64 y 692910599291889/10000000000000000 x)
x
(+.f64 x (*.f64 692910599291889/10000000000000000 y))
(fma.f64 y 692910599291889/10000000000000000 x)
(+.f64 x (*.f64 692910599291889/10000000000000000 y))
(fma.f64 y 692910599291889/10000000000000000 x)
(+.f64 x (*.f64 692910599291889/10000000000000000 y))
(fma.f64 y 692910599291889/10000000000000000 x)
x
(+.f64 x (*.f64 692910599291889/10000000000000000 y))
(fma.f64 y 692910599291889/10000000000000000 x)
(+.f64 x (*.f64 692910599291889/10000000000000000 y))
(fma.f64 y 692910599291889/10000000000000000 x)
(+.f64 x (*.f64 692910599291889/10000000000000000 y))
(fma.f64 y 692910599291889/10000000000000000 x)
x
(+.f64 x (*.f64 692910599291889/10000000000000000 y))
(fma.f64 y 692910599291889/10000000000000000 x)
(+.f64 x (*.f64 692910599291889/10000000000000000 y))
(fma.f64 y 692910599291889/10000000000000000 x)
(+.f64 x (*.f64 692910599291889/10000000000000000 y))
(fma.f64 y 692910599291889/10000000000000000 x)
(*.f64 692910599291889/10000000000000000 y)
(*.f64 y 692910599291889/10000000000000000)
(+.f64 x (*.f64 692910599291889/10000000000000000 y))
(fma.f64 y 692910599291889/10000000000000000 x)
(+.f64 x (*.f64 692910599291889/10000000000000000 y))
(fma.f64 y 692910599291889/10000000000000000 x)
(+.f64 x (*.f64 692910599291889/10000000000000000 y))
(fma.f64 y 692910599291889/10000000000000000 x)
(*.f64 692910599291889/10000000000000000 y)
(*.f64 y 692910599291889/10000000000000000)
(+.f64 x (*.f64 692910599291889/10000000000000000 y))
(fma.f64 y 692910599291889/10000000000000000 x)
(+.f64 x (*.f64 692910599291889/10000000000000000 y))
(fma.f64 y 692910599291889/10000000000000000 x)
(+.f64 x (*.f64 692910599291889/10000000000000000 y))
(fma.f64 y 692910599291889/10000000000000000 x)
(/.f64 y (+.f64 3350343815022304/279195317918525 (*.f64 155900051080628738716045985239/389750127738131234692690878125 z)))
(/.f64 y (fma.f64 z 155900051080628738716045985239/389750127738131234692690878125 3350343815022304/279195317918525))
(/.f64 y (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525))
(/.f64 y (+.f64 3350343815022304/279195317918525 (*.f64 155900051080628738716045985239/389750127738131234692690878125 z)))
(/.f64 y (fma.f64 z 155900051080628738716045985239/389750127738131234692690878125 3350343815022304/279195317918525))
(/.f64 y (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525))
(/.f64 y (+.f64 3350343815022304/279195317918525 (*.f64 155900051080628738716045985239/389750127738131234692690878125 z)))
(/.f64 y (fma.f64 z 155900051080628738716045985239/389750127738131234692690878125 3350343815022304/279195317918525))
(/.f64 y (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525))
(/.f64 y (+.f64 3350343815022304/279195317918525 (*.f64 155900051080628738716045985239/389750127738131234692690878125 z)))
(/.f64 y (fma.f64 z 155900051080628738716045985239/389750127738131234692690878125 3350343815022304/279195317918525))
(/.f64 y (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525))
(/.f64 y (+.f64 3350343815022304/279195317918525 (*.f64 155900051080628738716045985239/389750127738131234692690878125 z)))
(/.f64 y (fma.f64 z 155900051080628738716045985239/389750127738131234692690878125 3350343815022304/279195317918525))
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(pow.f64 (*.f64 (pow.f64 z 3) 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000) 1/3)
(cbrt.f64 (*.f64 (pow.f64 z 3) 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000))
(pow.f64 (sqrt.f64 (*.f64 692910599291889/10000000000000000 z)) 2)
(*.f64 692910599291889/10000000000000000 z)
(sqrt.f64 (pow.f64 (*.f64 692910599291889/10000000000000000 z) 2))
(fabs.f64 (*.f64 692910599291889/10000000000000000 z))
(log.f64 (pow.f64 (exp.f64 z) 692910599291889/10000000000000000))
(*.f64 692910599291889/10000000000000000 z)
(log.f64 (+.f64 1 (expm1.f64 (*.f64 692910599291889/10000000000000000 z))))
(*.f64 692910599291889/10000000000000000 z)
(cbrt.f64 (*.f64 (pow.f64 z 3) 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000))
(expm1.f64 (log1p.f64 (*.f64 692910599291889/10000000000000000 z)))
(*.f64 692910599291889/10000000000000000 z)
(exp.f64 (log.f64 (*.f64 692910599291889/10000000000000000 z)))
(*.f64 692910599291889/10000000000000000 z)
(exp.f64 (*.f64 (log.f64 (*.f64 692910599291889/10000000000000000 z)) 1))
(*.f64 692910599291889/10000000000000000 z)
(log1p.f64 (expm1.f64 (*.f64 692910599291889/10000000000000000 z)))
(*.f64 692910599291889/10000000000000000 z)
(+.f64 (*.f64 6012459259764103/1000000000000000 z) (pow.f64 z 2))
(*.f64 z (+.f64 z 6012459259764103/1000000000000000))
(+.f64 (*.f64 z 6012459259764103/1000000000000000) (pow.f64 z 2))
(*.f64 z (+.f64 z 6012459259764103/1000000000000000))
(-.f64 (exp.f64 (log1p.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)))) 1)
(*.f64 z (+.f64 z 6012459259764103/1000000000000000))
(/.f64 (+.f64 (pow.f64 (*.f64 6012459259764103/1000000000000000 z) 3) (pow.f64 (pow.f64 z 2) 3)) (+.f64 (*.f64 (*.f64 6012459259764103/1000000000000000 z) (*.f64 6012459259764103/1000000000000000 z)) (-.f64 (*.f64 (pow.f64 z 2) (pow.f64 z 2)) (*.f64 (*.f64 6012459259764103/1000000000000000 z) (pow.f64 z 2)))))
(/.f64 (+.f64 (pow.f64 (pow.f64 z 2) 3) (*.f64 (pow.f64 z 3) 217348396185382961186752534140230541334573920727/1000000000000000000000000000000000000000000000)) (+.f64 (*.f64 (pow.f64 z 2) 36149666350323105395943207394609/1000000000000000000000000000000) (-.f64 (pow.f64 z 4) (*.f64 6012459259764103/1000000000000000 (pow.f64 z 3)))))
(/.f64 (fma.f64 (pow.f64 z 3) 217348396185382961186752534140230541334573920727/1000000000000000000000000000000000000000000000 (pow.f64 (pow.f64 z 2) 3)) (*.f64 (pow.f64 z 2) (+.f64 36149666350323105395943207394609/1000000000000000000000000000000 (*.f64 z (-.f64 z 6012459259764103/1000000000000000)))))
(/.f64 (+.f64 (pow.f64 (*.f64 z 6012459259764103/1000000000000000) 3) (pow.f64 (pow.f64 z 2) 3)) (+.f64 (*.f64 (*.f64 z 6012459259764103/1000000000000000) (*.f64 z 6012459259764103/1000000000000000)) (-.f64 (*.f64 (pow.f64 z 2) (pow.f64 z 2)) (*.f64 (*.f64 z 6012459259764103/1000000000000000) (pow.f64 z 2)))))
(/.f64 (+.f64 (pow.f64 (pow.f64 z 2) 3) (*.f64 (pow.f64 z 3) 217348396185382961186752534140230541334573920727/1000000000000000000000000000000000000000000000)) (+.f64 (*.f64 (pow.f64 z 2) 36149666350323105395943207394609/1000000000000000000000000000000) (-.f64 (pow.f64 z 4) (*.f64 6012459259764103/1000000000000000 (pow.f64 z 3)))))
(/.f64 (fma.f64 (pow.f64 z 3) 217348396185382961186752534140230541334573920727/1000000000000000000000000000000000000000000000 (pow.f64 (pow.f64 z 2) 3)) (*.f64 (pow.f64 z 2) (+.f64 36149666350323105395943207394609/1000000000000000000000000000000 (*.f64 z (-.f64 z 6012459259764103/1000000000000000)))))
(/.f64 (-.f64 (*.f64 (*.f64 6012459259764103/1000000000000000 z) (*.f64 6012459259764103/1000000000000000 z)) (*.f64 (pow.f64 z 2) (pow.f64 z 2))) (-.f64 (*.f64 6012459259764103/1000000000000000 z) (pow.f64 z 2)))
(/.f64 (-.f64 (*.f64 (pow.f64 z 2) 36149666350323105395943207394609/1000000000000000000000000000000) (pow.f64 z 4)) (-.f64 (*.f64 z 6012459259764103/1000000000000000) (pow.f64 z 2)))
(/.f64 (-.f64 (*.f64 (pow.f64 z 2) 36149666350323105395943207394609/1000000000000000000000000000000) (pow.f64 z 4)) (*.f64 z (-.f64 6012459259764103/1000000000000000 z)))
(/.f64 (-.f64 (*.f64 (*.f64 z 6012459259764103/1000000000000000) (*.f64 z 6012459259764103/1000000000000000)) (*.f64 (pow.f64 z 2) (pow.f64 z 2))) (-.f64 (*.f64 z 6012459259764103/1000000000000000) (pow.f64 z 2)))
(/.f64 (-.f64 (*.f64 (pow.f64 z 2) 36149666350323105395943207394609/1000000000000000000000000000000) (pow.f64 z 4)) (-.f64 (*.f64 z 6012459259764103/1000000000000000) (pow.f64 z 2)))
(/.f64 (-.f64 (*.f64 (pow.f64 z 2) 36149666350323105395943207394609/1000000000000000000000000000000) (pow.f64 z 4)) (*.f64 z (-.f64 6012459259764103/1000000000000000 z)))
(pow.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)) 1)
(*.f64 z (+.f64 z 6012459259764103/1000000000000000))
(pow.f64 (cbrt.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000))) 3)
(*.f64 z (+.f64 z 6012459259764103/1000000000000000))
(pow.f64 (pow.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)) 3) 1/3)
(*.f64 z (+.f64 z 6012459259764103/1000000000000000))
(pow.f64 (sqrt.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000))) 2)
(*.f64 z (+.f64 z 6012459259764103/1000000000000000))
(sqrt.f64 (pow.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)) 2))
(fabs.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)))
(log.f64 (pow.f64 (exp.f64 z) (+.f64 z 6012459259764103/1000000000000000)))
(*.f64 z (+.f64 z 6012459259764103/1000000000000000))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)))))
(*.f64 z (+.f64 z 6012459259764103/1000000000000000))
(cbrt.f64 (pow.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)) 3))
(*.f64 z (+.f64 z 6012459259764103/1000000000000000))
(expm1.f64 (log1p.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000))))
(*.f64 z (+.f64 z 6012459259764103/1000000000000000))
(exp.f64 (log.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000))))
(*.f64 z (+.f64 z 6012459259764103/1000000000000000))
(exp.f64 (*.f64 (log.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000))) 1))
(*.f64 z (+.f64 z 6012459259764103/1000000000000000))
(log1p.f64 (expm1.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000))))
(*.f64 z (+.f64 z 6012459259764103/1000000000000000))
(fma.f64 z 6012459259764103/1000000000000000 (pow.f64 z 2))
(*.f64 z (+.f64 z 6012459259764103/1000000000000000))
(fma.f64 6012459259764103/1000000000000000 z (pow.f64 z 2))
(*.f64 z (+.f64 z 6012459259764103/1000000000000000))

eval275.0ms (2.1%)

Compiler

Compiled 10144 to 7087 computations (30.1% saved)

prune95.0ms (0.7%)

Pruning

14 alts after pruning (6 fresh and 8 done)

PrunedKeptTotal
New5301531
Fresh156
Picked055
Done033
Total53114545
Accuracy
100.0%
Counts
545 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
33.4%
(/.f64 (*.f64 y (+.f64 11167812716741/40000000000000 (*.f64 z (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z))))) (+.f64 104698244219447/31250000000000 (*.f64 z (+.f64 6012459259764103/1000000000000000 z))))
24.6%
(-.f64 (*.f64 692910599291889/10000000000000000 y) (*.f64 -751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)))
67.6%
(+.f64 x (/.f64 (+.f64 (*.f64 z (*.f64 (/.f64 (-.f64 94453173760125479739253764129/390625000000000000000000000000 (*.f64 (pow.f64 z 2) 480125098611044764748221188321/100000000000000000000000000000000)) (-.f64 307332350656623/625000000000000 (*.f64 z 692910599291889/10000000000000000))) y)) (*.f64 11167812716741/40000000000000 y)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
73.9%
(+.f64 x (/.f64 (+.f64 (*.f64 z (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) y)) (*.f64 11167812716741/40000000000000 y)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
75.7%
(+.f64 x (/.f64 y (-.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z))))
77.2%
(+.f64 x (/.f64 y (+.f64 3350343815022304/279195317918525 (*.f64 z 155900051080628738716045985239/389750127738131234692690878125))))
79.8%
(+.f64 x (/.f64 y 10000000000000000/692910599291889))
80.8%
(+.f64 x (/.f64 y 3350343815022304/279195317918525))
65.6%
(+.f64 x (-.f64 (/.f64 1 (/.f64 10000000000000000/692910599291889 y)) (/.f64 (*.f64 y -751220861604756070699018739433/10000000000000000000000000000000) z)))
80.8%
(+.f64 x (*.f64 y 279195317918525/3350343815022304))
79.6%
(+.f64 x (*.f64 y 692910599291889/10000000000000000))
24.6%
(*.f64 y (-.f64 692910599291889/10000000000000000 (/.f64 -751220861604756070699018739433/10000000000000000000000000000000 z)))
36.5%
(*.f64 y (+.f64 (*.f64 11167812716741/40000000000000 (/.f64 1 (+.f64 104698244219447/31250000000000 (*.f64 z (+.f64 6012459259764103/1000000000000000 z))))) (/.f64 (*.f64 z (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z))) (+.f64 104698244219447/31250000000000 (*.f64 z (+.f64 6012459259764103/1000000000000000 z))))))
52.9%
x
Compiler

Compiled 342 to 260 computations (24% saved)

localize422.0ms (3.3%)

Localize:

Found 19 expressions with local error:

NewAccuracyProgram
99.4%
(/.f64 1 (+.f64 104698244219447/31250000000000 (*.f64 z (+.f64 6012459259764103/1000000000000000 z))))
99.1%
(*.f64 11167812716741/40000000000000 (/.f64 1 (+.f64 104698244219447/31250000000000 (*.f64 z (+.f64 6012459259764103/1000000000000000 z)))))
99.1%
(*.f64 692910599291889/10000000000000000 z)
72.8%
(/.f64 (*.f64 z (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z))) (+.f64 104698244219447/31250000000000 (*.f64 z (+.f64 6012459259764103/1000000000000000 z))))
99.7%
(*.f64 z (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) y))
99.2%
(*.f64 11167812716741/40000000000000 y)
99.1%
(*.f64 z 692910599291889/10000000000000000)
68.5%
(/.f64 (+.f64 (*.f64 z (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) y)) (*.f64 11167812716741/40000000000000 y)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000))
99.9%
(/.f64 10000000000000000/692910599291889 y)
99.7%
(/.f64 (*.f64 y -751220861604756070699018739433/10000000000000000000000000000000) z)
99.7%
(*.f64 y -751220861604756070699018739433/10000000000000000000000000000000)
99.3%
(/.f64 1 (/.f64 10000000000000000/692910599291889 y))
100.0%
(-.f64 692910599291889/10000000000000000 (/.f64 -751220861604756070699018739433/10000000000000000000000000000000 z))
99.7%
(/.f64 -751220861604756070699018739433/10000000000000000000000000000000 z)
99.5%
(*.f64 y (-.f64 692910599291889/10000000000000000 (/.f64 -751220861604756070699018739433/10000000000000000000000000000000 z)))
100.0%
(+.f64 x (/.f64 y (-.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z))))
100.0%
(-.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z))
99.8%
(/.f64 y (-.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z)))
99.8%
(/.f64 2504069538682520235663395798110/160041699537014921582740396107 z)
Compiler

Compiled 334 to 238 computations (28.7% saved)

series30.0ms (0.2%)

Counts
14 → 204
Calls

60 calls:

TimeVariablePointExpression
8.0ms
z
@0
(/.f64 y (-.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z)))
2.0ms
z
@0
(*.f64 z (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) y))
1.0ms
z
@inf
(/.f64 y (-.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z)))
1.0ms
y
@0
(/.f64 y (-.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z)))
1.0ms
y
@inf
(/.f64 y (-.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z)))

rewrite134.0ms (1%)

Algorithm
batch-egg-rewrite
Rules
333×log1p-expm1-u
333×expm1-log1p-u
326×add-cube-cbrt
325×add-exp-log
325×add-log-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
046354
1838354
Stop Event
node limit
Counts
14 → 267
Calls
Call 1
Inputs
(/.f64 2504069538682520235663395798110/160041699537014921582740396107 z)
(/.f64 y (-.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z)))
(-.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z))
(+.f64 x (/.f64 y (-.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z))))
(*.f64 y (-.f64 692910599291889/10000000000000000 (/.f64 -751220861604756070699018739433/10000000000000000000000000000000 z)))
(/.f64 -751220861604756070699018739433/10000000000000000000000000000000 z)
(-.f64 692910599291889/10000000000000000 (/.f64 -751220861604756070699018739433/10000000000000000000000000000000 z))
(/.f64 1 (/.f64 10000000000000000/692910599291889 y))
(/.f64 10000000000000000/692910599291889 y)
(/.f64 (+.f64 (*.f64 z (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) y)) (*.f64 11167812716741/40000000000000 y)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000))
(*.f64 z (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) y))
(/.f64 (*.f64 z (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z))) (+.f64 104698244219447/31250000000000 (*.f64 z (+.f64 6012459259764103/1000000000000000 z))))
(*.f64 11167812716741/40000000000000 (/.f64 1 (+.f64 104698244219447/31250000000000 (*.f64 z (+.f64 6012459259764103/1000000000000000 z)))))
(/.f64 1 (+.f64 104698244219447/31250000000000 (*.f64 z (+.f64 6012459259764103/1000000000000000 z))))
Outputs
(-.f64 (exp.f64 (log1p.f64 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z))) 1)
(*.f64 2504069538682520235663395798110/160041699537014921582740396107 (/.f64 1 z))
(*.f64 1 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z))
(*.f64 (cbrt.f64 (/.f64 6270364254557689706852415151458915283848193496650003879572100/25613345590696162165292110140311348483404994348943260755449 (pow.f64 z 2))) (cbrt.f64 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z)))
(*.f64 (sqrt.f64 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z)) (sqrt.f64 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z)))
(pow.f64 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z) 1)
(pow.f64 (cbrt.f64 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z)) 3)
(pow.f64 (/.f64 15701428126281638947301330141368631288413274089051284127680697962118102326466829604788731000/4099203359163921159572197153495851503274837392436387720732033198926137404027538318637043 (pow.f64 z 3)) 1/3)
(pow.f64 (sqrt.f64 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z)) 2)
(pow.f64 (/.f64 z 2504069538682520235663395798110/160041699537014921582740396107) -1)
(sqrt.f64 (/.f64 6270364254557689706852415151458915283848193496650003879572100/25613345590696162165292110140311348483404994348943260755449 (pow.f64 z 2)))
(log.f64 (exp.f64 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z))))
(cbrt.f64 (/.f64 15701428126281638947301330141368631288413274089051284127680697962118102326466829604788731000/4099203359163921159572197153495851503274837392436387720732033198926137404027538318637043 (pow.f64 z 3)))
(expm1.f64 (log1p.f64 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z)))
(exp.f64 (log.f64 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z)))
(exp.f64 (*.f64 (log.f64 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z)) 1))
(log1p.f64 (expm1.f64 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 y (-.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z))))) 1)
(*.f64 y (/.f64 1 (-.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z))))
(*.f64 1 (/.f64 y (-.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 y (-.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z)))) 2) (cbrt.f64 (/.f64 y (-.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z)))))
(*.f64 (sqrt.f64 (/.f64 y (-.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z)))) (sqrt.f64 (/.f64 y (-.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z)))))
(pow.f64 (/.f64 y (-.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z))) 1)
(pow.f64 (cbrt.f64 (/.f64 y (-.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z)))) 3)
(pow.f64 (pow.f64 (/.f64 y (-.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z))) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 y (-.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z)))) 2)
(pow.f64 (/.f64 (-.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z)) y) -1)
(sqrt.f64 (pow.f64 (/.f64 y (-.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z))) 2))
(log.f64 (exp.f64 (/.f64 y (-.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z)))))
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(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) 2)) -1) (pow.f64 (cbrt.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) -1))
(*.f64 (pow.f64 (sqrt.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) -1) (pow.f64 (sqrt.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) -1))
(pow.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) -1)
(pow.f64 (/.f64 1 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) 1)
(pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) 3)
(pow.f64 (pow.f64 (/.f64 1 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) 3) 1/3)
(pow.f64 (pow.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) -1/2) 2)
(pow.f64 (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) 1) -1)
(sqrt.f64 (pow.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) -2))
(log.f64 (exp.f64 (/.f64 1 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))))
(cbrt.f64 (pow.f64 (/.f64 1 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) 3))
(expm1.f64 (log1p.f64 (/.f64 1 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))))
(exp.f64 (neg.f64 (log.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))))
(exp.f64 (*.f64 (log.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) -1))
(exp.f64 (*.f64 (neg.f64 (log.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) 1))
(log1p.f64 (expm1.f64 (/.f64 1 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))))

simplify363.0ms (2.8%)

Algorithm
egg-herbie
Rules
954×fma-neg
922×fma-def
736×associate-*r*
690×associate-*l*
420×sqr-pow
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
079015806
1191714708
2766114708
Stop Event
node limit
Counts
471 → 483
Calls
Call 1
Inputs
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(log.f64 (exp.f64 (/.f64 z (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 z (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000))))))
(cbrt.f64 (pow.f64 (/.f64 z (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000))) 3))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 3) (pow.f64 (/.f64 1 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) 3)))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 3) (pow.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) 3)))
(expm1.f64 (log1p.f64 (/.f64 z (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)))))
(exp.f64 (log.f64 (/.f64 z (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)))))
(exp.f64 (*.f64 (log.f64 (/.f64 z (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)))) 1))
(log1p.f64 (expm1.f64 (/.f64 z (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 11167812716741/40000000000000 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))) 1)
(/.f64 11167812716741/40000000000000 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))
(/.f64 -11167812716741/40000000000000 (neg.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))
(pow.f64 (/.f64 11167812716741/40000000000000 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) 1)
(pow.f64 (cbrt.f64 (/.f64 11167812716741/40000000000000 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) 3)
(pow.f64 (pow.f64 (/.f64 11167812716741/40000000000000 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 11167812716741/40000000000000 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) 2)
(sqrt.f64 (/.f64 124720040876201995101661081/1600000000000000000000000000 (pow.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) 2)))
(log.f64 (exp.f64 (/.f64 11167812716741/40000000000000 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 11167812716741/40000000000000 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))))
(cbrt.f64 (pow.f64 (/.f64 11167812716741/40000000000000 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) 3))
(expm1.f64 (log1p.f64 (/.f64 11167812716741/40000000000000 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))))
(exp.f64 (log.f64 (/.f64 11167812716741/40000000000000 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))))
(exp.f64 (*.f64 (log.f64 (/.f64 11167812716741/40000000000000 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) 1))
(log1p.f64 (expm1.f64 (/.f64 11167812716741/40000000000000 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))) 1)
(*.f64 1 (/.f64 1 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) -2)) (/.f64 1 (cbrt.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))))
(*.f64 (pow.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) -1/2) (pow.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) -1/2))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) 2)) -1) (pow.f64 (cbrt.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) -1))
(*.f64 (pow.f64 (sqrt.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) -1) (pow.f64 (sqrt.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) -1))
(pow.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) -1)
(pow.f64 (/.f64 1 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) 1)
(pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) 3)
(pow.f64 (pow.f64 (/.f64 1 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) 3) 1/3)
(pow.f64 (pow.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) -1/2) 2)
(pow.f64 (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) 1) -1)
(sqrt.f64 (pow.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) -2))
(log.f64 (exp.f64 (/.f64 1 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))))
(cbrt.f64 (pow.f64 (/.f64 1 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) 3))
(expm1.f64 (log1p.f64 (/.f64 1 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))))
(exp.f64 (neg.f64 (log.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))))
(exp.f64 (*.f64 (log.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) -1))
(exp.f64 (*.f64 (neg.f64 (log.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) 1))
(log1p.f64 (expm1.f64 (/.f64 1 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))))
Outputs
(/.f64 y (-.f64 10000000000000000/692910599291889 (*.f64 2504069538682520235663395798110/160041699537014921582740396107 (/.f64 1 z))))
(/.f64 y (+.f64 10000000000000000/692910599291889 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z)))
(/.f64 y (-.f64 10000000000000000/692910599291889 (*.f64 2504069538682520235663395798110/160041699537014921582740396107 (/.f64 1 z))))
(/.f64 y (+.f64 10000000000000000/692910599291889 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z)))
(/.f64 y (-.f64 10000000000000000/692910599291889 (*.f64 2504069538682520235663395798110/160041699537014921582740396107 (/.f64 1 z))))
(/.f64 y (+.f64 10000000000000000/692910599291889 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z)))
(/.f64 y (-.f64 10000000000000000/692910599291889 (*.f64 2504069538682520235663395798110/160041699537014921582740396107 (/.f64 1 z))))
(/.f64 y (+.f64 10000000000000000/692910599291889 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z)))
(/.f64 y (-.f64 10000000000000000/692910599291889 (*.f64 2504069538682520235663395798110/160041699537014921582740396107 (/.f64 1 z))))
(/.f64 y (+.f64 10000000000000000/692910599291889 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z)))
(/.f64 y (-.f64 10000000000000000/692910599291889 (*.f64 2504069538682520235663395798110/160041699537014921582740396107 (/.f64 1 z))))
(/.f64 y (+.f64 10000000000000000/692910599291889 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z)))
(/.f64 y (-.f64 10000000000000000/692910599291889 (*.f64 2504069538682520235663395798110/160041699537014921582740396107 (/.f64 1 z))))
(/.f64 y (+.f64 10000000000000000/692910599291889 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z)))
(/.f64 y (-.f64 10000000000000000/692910599291889 (*.f64 2504069538682520235663395798110/160041699537014921582740396107 (/.f64 1 z))))
(/.f64 y (+.f64 10000000000000000/692910599291889 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z)))
(/.f64 y (-.f64 10000000000000000/692910599291889 (*.f64 2504069538682520235663395798110/160041699537014921582740396107 (/.f64 1 z))))
(/.f64 y (+.f64 10000000000000000/692910599291889 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z)))
(/.f64 y (-.f64 10000000000000000/692910599291889 (*.f64 2504069538682520235663395798110/160041699537014921582740396107 (/.f64 1 z))))
(/.f64 y (+.f64 10000000000000000/692910599291889 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z)))
(/.f64 y (-.f64 10000000000000000/692910599291889 (*.f64 2504069538682520235663395798110/160041699537014921582740396107 (/.f64 1 z))))
(/.f64 y (+.f64 10000000000000000/692910599291889 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z)))
(/.f64 y (-.f64 10000000000000000/692910599291889 (*.f64 2504069538682520235663395798110/160041699537014921582740396107 (/.f64 1 z))))
(/.f64 y (+.f64 10000000000000000/692910599291889 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z)))
(*.f64 -160041699537014921582740396107/2504069538682520235663395798110 (*.f64 y z))
(*.f64 y (*.f64 z -160041699537014921582740396107/2504069538682520235663395798110))
(+.f64 (*.f64 -160041699537014921582740396107/2504069538682520235663395798110 (*.f64 y z)) (*.f64 -3696486331262848120733147479128771652409204100000000000000/62703642545576897068524151514589152838481934966500038795721 (*.f64 y (pow.f64 z 2))))
(fma.f64 -160041699537014921582740396107/2504069538682520235663395798110 (*.f64 y z) (*.f64 -3696486331262848120733147479128771652409204100000000000000/62703642545576897068524151514589152838481934966500038795721 (*.f64 y (pow.f64 z 2))))
(fma.f64 -160041699537014921582740396107/2504069538682520235663395798110 (*.f64 y z) (*.f64 y (*.f64 (pow.f64 z 2) -3696486331262848120733147479128771652409204100000000000000/62703642545576897068524151514589152838481934966500038795721)))
(+.f64 (*.f64 -160041699537014921582740396107/2504069538682520235663395798110 (*.f64 y z)) (+.f64 (*.f64 -3696486331262848120733147479128771652409204100000000000000/62703642545576897068524151514589152838481934966500038795721 (*.f64 y (pow.f64 z 2))) (*.f64 -853778186356538738843070338010378282780166478298108691848300000000000000000000000000000/15701428126281638947301330141368631288413274089051284127680697962118102326466829604788731 (*.f64 y (pow.f64 z 3)))))
(fma.f64 -160041699537014921582740396107/2504069538682520235663395798110 (*.f64 y z) (fma.f64 -3696486331262848120733147479128771652409204100000000000000/62703642545576897068524151514589152838481934966500038795721 (*.f64 y (pow.f64 z 2)) (*.f64 -853778186356538738843070338010378282780166478298108691848300000000000000000000000000000/15701428126281638947301330141368631288413274089051284127680697962118102326466829604788731 (*.f64 y (pow.f64 z 3)))))
(fma.f64 -160041699537014921582740396107/2504069538682520235663395798110 (*.f64 y z) (fma.f64 -3696486331262848120733147479128771652409204100000000000000/62703642545576897068524151514589152838481934966500038795721 (*.f64 y (pow.f64 z 2)) (*.f64 (pow.f64 z 3) (*.f64 y -853778186356538738843070338010378282780166478298108691848300000000000000000000000000000/15701428126281638947301330141368631288413274089051284127680697962118102326466829604788731))))
(+.f64 (*.f64 -160041699537014921582740396107/2504069538682520235663395798110 (*.f64 y z)) (+.f64 (*.f64 -3696486331262848120733147479128771652409204100000000000000/62703642545576897068524151514589152838481934966500038795721 (*.f64 y (pow.f64 z 2))) (+.f64 (*.f64 -853778186356538738843070338010378282780166478298108691848300000000000000000000000000000/15701428126281638947301330141368631288413274089051284127680697962118102326466829604788731 (*.f64 y (pow.f64 z 3))) (*.f64 -197197318256883782045293390284022880676435948793227669139889539362202812900000000000000000000000000000000000000000000/3931746788483481172165326344768108943805269958963204279358207328721937781874449924622341652328675000958198107967909841 (*.f64 y (pow.f64 z 4))))))
(fma.f64 -160041699537014921582740396107/2504069538682520235663395798110 (*.f64 y z) (fma.f64 -3696486331262848120733147479128771652409204100000000000000/62703642545576897068524151514589152838481934966500038795721 (*.f64 y (pow.f64 z 2)) (fma.f64 -853778186356538738843070338010378282780166478298108691848300000000000000000000000000000/15701428126281638947301330141368631288413274089051284127680697962118102326466829604788731 (*.f64 y (pow.f64 z 3)) (*.f64 -197197318256883782045293390284022880676435948793227669139889539362202812900000000000000000000000000000000000000000000/3931746788483481172165326344768108943805269958963204279358207328721937781874449924622341652328675000958198107967909841 (*.f64 y (pow.f64 z 4))))))
(fma.f64 -160041699537014921582740396107/2504069538682520235663395798110 (*.f64 y z) (fma.f64 -3696486331262848120733147479128771652409204100000000000000/62703642545576897068524151514589152838481934966500038795721 (*.f64 y (pow.f64 z 2)) (fma.f64 -197197318256883782045293390284022880676435948793227669139889539362202812900000000000000000000000000000000000000000000/3931746788483481172165326344768108943805269958963204279358207328721937781874449924622341652328675000958198107967909841 (*.f64 y (pow.f64 z 4)) (*.f64 (pow.f64 z 3) (*.f64 y -853778186356538738843070338010378282780166478298108691848300000000000000000000000000000/15701428126281638947301330141368631288413274089051284127680697962118102326466829604788731)))))
(*.f64 692910599291889/10000000000000000 y)
(*.f64 y 692910599291889/10000000000000000)
(+.f64 (*.f64 692910599291889/10000000000000000 y) (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)))
(fma.f64 692910599291889/10000000000000000 y (/.f64 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 y) z))
(*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)))
(+.f64 (*.f64 692910599291889/10000000000000000 y) (+.f64 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)) (*.f64 188110927636730691205572454543767458515445804899500116387163/2309701997639630000000000000000000000000000000000000000000000 (/.f64 y (pow.f64 z 2)))))
(fma.f64 692910599291889/10000000000000000 y (fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) (*.f64 188110927636730691205572454543767458515445804899500116387163/2309701997639630000000000000000000000000000000000000000000000 (/.f64 y (pow.f64 z 2)))))
(+.f64 (*.f64 188110927636730691205572454543767458515445804899500116387163/2309701997639630000000000000000000000000000000000000000000000 (/.f64 y (pow.f64 z 2))) (*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))))
(+.f64 (*.f64 692910599291889/10000000000000000 y) (+.f64 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)) (+.f64 (*.f64 188110927636730691205572454543767458515445804899500116387163/2309701997639630000000000000000000000000000000000000000000000 (/.f64 y (pow.f64 z 2))) (*.f64 47104284378844916841903990424105893865239822267153852383042093886354306979400488814366193/533472331790049738609134653690000000000000000000000000000000000000000000000000000000000000 (/.f64 y (pow.f64 z 3))))))
(fma.f64 692910599291889/10000000000000000 y (fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) (fma.f64 188110927636730691205572454543767458515445804899500116387163/2309701997639630000000000000000000000000000000000000000000000 (/.f64 y (pow.f64 z 2)) (*.f64 47104284378844916841903990424105893865239822267153852383042093886354306979400488814366193/533472331790049738609134653690000000000000000000000000000000000000000000000000000000000000 (/.f64 y (pow.f64 z 3))))))
(+.f64 (fma.f64 188110927636730691205572454543767458515445804899500116387163/2309701997639630000000000000000000000000000000000000000000000 (/.f64 y (pow.f64 z 2)) (*.f64 47104284378844916841903990424105893865239822267153852383042093886354306979400488814366193/533472331790049738609134653690000000000000000000000000000000000000000000000000000000000000 (/.f64 y (pow.f64 z 3)))) (*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))))
(*.f64 692910599291889/10000000000000000 y)
(*.f64 y 692910599291889/10000000000000000)
(+.f64 (*.f64 692910599291889/10000000000000000 y) (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)))
(fma.f64 692910599291889/10000000000000000 y (/.f64 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 y) z))
(*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)))
(+.f64 (*.f64 692910599291889/10000000000000000 y) (+.f64 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)) (*.f64 188110927636730691205572454543767458515445804899500116387163/2309701997639630000000000000000000000000000000000000000000000 (/.f64 y (pow.f64 z 2)))))
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(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) 2)) -1) (pow.f64 (cbrt.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) -1))
(*.f64 (/.f64 1 (cbrt.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) (/.f64 1 (cbrt.f64 (pow.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) 2))))
(*.f64 (pow.f64 (sqrt.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) -1) (pow.f64 (sqrt.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) -1))
(pow.f64 (sqrt.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) -2)
(pow.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) -1)
(/.f64 1 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))
(pow.f64 (/.f64 1 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) 1)
(/.f64 1 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))
(pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) 3)
(/.f64 1 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))
(pow.f64 (pow.f64 (/.f64 1 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) 3) 1/3)
(/.f64 1 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))
(pow.f64 (pow.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) -1/2) 2)
(/.f64 1 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))
(pow.f64 (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) 1) -1)
(/.f64 1 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))
(sqrt.f64 (pow.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) -2))
(log.f64 (exp.f64 (/.f64 1 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))))
(/.f64 1 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))))
(/.f64 1 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))
(cbrt.f64 (pow.f64 (/.f64 1 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) 3))
(/.f64 1 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))
(expm1.f64 (log1p.f64 (/.f64 1 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))))
(/.f64 1 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))
(exp.f64 (neg.f64 (log.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))))
(/.f64 1 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))
(exp.f64 (*.f64 (log.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) -1))
(/.f64 1 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))
(exp.f64 (*.f64 (neg.f64 (log.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) 1))
(/.f64 1 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))
(log1p.f64 (expm1.f64 (/.f64 1 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))))
(/.f64 1 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))

eval406.0ms (3.2%)

Compiler

Compiled 12442 to 9171 computations (26.3% saved)

prune164.0ms (1.3%)

Pruning

15 alts after pruning (2 fresh and 13 done)

PrunedKeptTotal
New5931594
Fresh011
Picked055
Done088
Total59315608
Accuracy
100.0%
Counts
608 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
33.4%
(/.f64 (*.f64 y (+.f64 11167812716741/40000000000000 (*.f64 z (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z))))) (+.f64 104698244219447/31250000000000 (*.f64 z (+.f64 6012459259764103/1000000000000000 z))))
24.6%
(-.f64 (*.f64 692910599291889/10000000000000000 y) (*.f64 -751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)))
67.6%
(+.f64 x (/.f64 (+.f64 (*.f64 z (*.f64 (/.f64 (-.f64 94453173760125479739253764129/390625000000000000000000000000 (*.f64 (pow.f64 z 2) 480125098611044764748221188321/100000000000000000000000000000000)) (-.f64 307332350656623/625000000000000 (*.f64 z 692910599291889/10000000000000000))) y)) (*.f64 11167812716741/40000000000000 y)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
73.9%
(+.f64 x (/.f64 (+.f64 (*.f64 z (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) y)) (*.f64 11167812716741/40000000000000 y)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
75.7%
(+.f64 x (/.f64 y (-.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z))))
77.2%
(+.f64 x (/.f64 y (+.f64 3350343815022304/279195317918525 (*.f64 z 155900051080628738716045985239/389750127738131234692690878125))))
79.8%
(+.f64 x (/.f64 y 10000000000000000/692910599291889))
80.8%
(+.f64 x (/.f64 y 3350343815022304/279195317918525))
65.6%
(+.f64 x (-.f64 (/.f64 1 (/.f64 10000000000000000/692910599291889 y)) (/.f64 (*.f64 y -751220861604756070699018739433/10000000000000000000000000000000) z)))
80.8%
(+.f64 x (*.f64 y 279195317918525/3350343815022304))
79.6%
(+.f64 x (*.f64 y 692910599291889/10000000000000000))
24.6%
(*.f64 y (-.f64 692910599291889/10000000000000000 (/.f64 -751220861604756070699018739433/10000000000000000000000000000000 z)))
36.5%
(*.f64 y (+.f64 (*.f64 11167812716741/40000000000000 (/.f64 1 (+.f64 104698244219447/31250000000000 (*.f64 z (+.f64 6012459259764103/1000000000000000 z))))) (/.f64 (*.f64 z (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z))) (+.f64 104698244219447/31250000000000 (*.f64 z (+.f64 6012459259764103/1000000000000000 z))))))
28.6%
(*.f64 y 692910599291889/10000000000000000)
52.9%
x
Compiler

Compiled 586 to 422 computations (28% saved)

regimes205.0ms (1.6%)

Counts
27 → 2
Calls
Call 1
Inputs
x
(*.f64 y 692910599291889/10000000000000000)
(+.f64 x (*.f64 692910599291889/10000000000000000 y))
(+.f64 x (*.f64 279195317918525/3350343815022304 y))
(+.f64 x (*.f64 y 692910599291889/10000000000000000))
(+.f64 x (*.f64 y 279195317918525/3350343815022304))
(+.f64 x (/.f64 y 3350343815022304/279195317918525))
(+.f64 x (/.f64 y 10000000000000000/692910599291889))
(*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)))
(*.f64 y (-.f64 692910599291889/10000000000000000 (/.f64 -751220861604756070699018739433/10000000000000000000000000000000 z)))
(+.f64 x (/.f64 y (+.f64 3350343815022304/279195317918525 (*.f64 z 155900051080628738716045985239/389750127738131234692690878125))))
(+.f64 x (/.f64 y (-.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z))))
(-.f64 (*.f64 692910599291889/10000000000000000 y) (*.f64 -751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)))
(+.f64 x (-.f64 (*.f64 692910599291889/10000000000000000 y) (/.f64 (*.f64 y -751220861604756070699018739433/10000000000000000000000000000000) z)))
(+.f64 x (-.f64 (/.f64 1 (/.f64 10000000000000000/692910599291889 y)) (/.f64 (*.f64 y -751220861604756070699018739433/10000000000000000000000000000000) z)))
(/.f64 (*.f64 y (+.f64 11167812716741/40000000000000 (*.f64 z (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z))))) (+.f64 104698244219447/31250000000000 (*.f64 z (+.f64 6012459259764103/1000000000000000 z))))
(+.f64 x (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
(+.f64 x (/.f64 (+.f64 (*.f64 z (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) y)) (*.f64 11167812716741/40000000000000 y)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
(*.f64 y (+.f64 (*.f64 11167812716741/40000000000000 (/.f64 1 (+.f64 104698244219447/31250000000000 (*.f64 z (+.f64 6012459259764103/1000000000000000 z))))) (/.f64 (*.f64 z (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z))) (+.f64 104698244219447/31250000000000 (*.f64 z (+.f64 6012459259764103/1000000000000000 z))))))
(+.f64 x (/.f64 (+.f64 (*.f64 z (*.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) y)) (*.f64 11167812716741/40000000000000 y)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
(+.f64 x (/.f64 (+.f64 (*.f64 z (*.f64 (/.f64 (-.f64 94453173760125479739253764129/390625000000000000000000000000 (*.f64 (pow.f64 z 2) 480125098611044764748221188321/100000000000000000000000000000000)) (-.f64 307332350656623/625000000000000 (*.f64 z 692910599291889/10000000000000000))) y)) (*.f64 11167812716741/40000000000000 y)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
(+.f64 x (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (cbrt.f64 (*.f64 (pow.f64 z 3) 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000)) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
(+.f64 x (*.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)))
(+.f64 x (/.f64 y (/.f64 (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000) (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000))))
(+.f64 x (*.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (fma.f64 z (/.f64 (-.f64 94453173760125479739253764129/390625000000000000000000000000 (*.f64 (pow.f64 z 2) 480125098611044764748221188321/100000000000000000000000000000000)) (-.f64 307332350656623/625000000000000 (*.f64 z 692910599291889/10000000000000000))) 11167812716741/40000000000000)))
(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)
Outputs
(fma.f64 y (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) x)
(+.f64 x (/.f64 y 10000000000000000/692910599291889))
Calls

5 calls:

63.0ms
y
47.0ms
x
42.0ms
z
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))
24.0ms
(+.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
86.5%3x
88.0%5y
99.9%3z
99.8%2(+.f64 x (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
99.8%2(/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000))
Compiler

Compiled 58 to 44 computations (24.1% saved)

regimes50.0ms (0.4%)

Counts
25 → 2
Calls
Call 1
Inputs
x
(*.f64 y 692910599291889/10000000000000000)
(+.f64 x (*.f64 692910599291889/10000000000000000 y))
(+.f64 x (*.f64 279195317918525/3350343815022304 y))
(+.f64 x (*.f64 y 692910599291889/10000000000000000))
(+.f64 x (*.f64 y 279195317918525/3350343815022304))
(+.f64 x (/.f64 y 3350343815022304/279195317918525))
(+.f64 x (/.f64 y 10000000000000000/692910599291889))
(*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)))
(*.f64 y (-.f64 692910599291889/10000000000000000 (/.f64 -751220861604756070699018739433/10000000000000000000000000000000 z)))
(+.f64 x (/.f64 y (+.f64 3350343815022304/279195317918525 (*.f64 z 155900051080628738716045985239/389750127738131234692690878125))))
(+.f64 x (/.f64 y (-.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z))))
(-.f64 (*.f64 692910599291889/10000000000000000 y) (*.f64 -751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)))
(+.f64 x (-.f64 (*.f64 692910599291889/10000000000000000 y) (/.f64 (*.f64 y -751220861604756070699018739433/10000000000000000000000000000000) z)))
(+.f64 x (-.f64 (/.f64 1 (/.f64 10000000000000000/692910599291889 y)) (/.f64 (*.f64 y -751220861604756070699018739433/10000000000000000000000000000000) z)))
(/.f64 (*.f64 y (+.f64 11167812716741/40000000000000 (*.f64 z (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z))))) (+.f64 104698244219447/31250000000000 (*.f64 z (+.f64 6012459259764103/1000000000000000 z))))
(+.f64 x (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
(+.f64 x (/.f64 (+.f64 (*.f64 z (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) y)) (*.f64 11167812716741/40000000000000 y)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
(*.f64 y (+.f64 (*.f64 11167812716741/40000000000000 (/.f64 1 (+.f64 104698244219447/31250000000000 (*.f64 z (+.f64 6012459259764103/1000000000000000 z))))) (/.f64 (*.f64 z (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z))) (+.f64 104698244219447/31250000000000 (*.f64 z (+.f64 6012459259764103/1000000000000000 z))))))
(+.f64 x (/.f64 (+.f64 (*.f64 z (*.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) y)) (*.f64 11167812716741/40000000000000 y)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
(+.f64 x (/.f64 (+.f64 (*.f64 z (*.f64 (/.f64 (-.f64 94453173760125479739253764129/390625000000000000000000000000 (*.f64 (pow.f64 z 2) 480125098611044764748221188321/100000000000000000000000000000000)) (-.f64 307332350656623/625000000000000 (*.f64 z 692910599291889/10000000000000000))) y)) (*.f64 11167812716741/40000000000000 y)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
(+.f64 x (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (cbrt.f64 (*.f64 (pow.f64 z 3) 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000)) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
(+.f64 x (*.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)))
(+.f64 x (/.f64 y (/.f64 (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000) (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000))))
(+.f64 x (*.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (fma.f64 z (/.f64 (-.f64 94453173760125479739253764129/390625000000000000000000000000 (*.f64 (pow.f64 z 2) 480125098611044764748221188321/100000000000000000000000000000000)) (-.f64 307332350656623/625000000000000 (*.f64 z 692910599291889/10000000000000000))) 11167812716741/40000000000000)))
Outputs
(+.f64 x (/.f64 y (/.f64 (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000) (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000))))
(+.f64 x (/.f64 y 10000000000000000/692910599291889))
Calls

2 calls:

24.0ms
(/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000))
23.0ms
(+.f64 x (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
Results
AccuracySegmentsBranch
99.5%2(+.f64 x (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
99.5%2(/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000))
Compiler

Compiled 46 to 35 computations (23.9% saved)

regimes81.0ms (0.6%)

Counts
23 → 2
Calls
Call 1
Inputs
x
(*.f64 y 692910599291889/10000000000000000)
(+.f64 x (*.f64 692910599291889/10000000000000000 y))
(+.f64 x (*.f64 279195317918525/3350343815022304 y))
(+.f64 x (*.f64 y 692910599291889/10000000000000000))
(+.f64 x (*.f64 y 279195317918525/3350343815022304))
(+.f64 x (/.f64 y 3350343815022304/279195317918525))
(+.f64 x (/.f64 y 10000000000000000/692910599291889))
(*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)))
(*.f64 y (-.f64 692910599291889/10000000000000000 (/.f64 -751220861604756070699018739433/10000000000000000000000000000000 z)))
(+.f64 x (/.f64 y (+.f64 3350343815022304/279195317918525 (*.f64 z 155900051080628738716045985239/389750127738131234692690878125))))
(+.f64 x (/.f64 y (-.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z))))
(-.f64 (*.f64 692910599291889/10000000000000000 y) (*.f64 -751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)))
(+.f64 x (-.f64 (*.f64 692910599291889/10000000000000000 y) (/.f64 (*.f64 y -751220861604756070699018739433/10000000000000000000000000000000) z)))
(+.f64 x (-.f64 (/.f64 1 (/.f64 10000000000000000/692910599291889 y)) (/.f64 (*.f64 y -751220861604756070699018739433/10000000000000000000000000000000) z)))
(/.f64 (*.f64 y (+.f64 11167812716741/40000000000000 (*.f64 z (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z))))) (+.f64 104698244219447/31250000000000 (*.f64 z (+.f64 6012459259764103/1000000000000000 z))))
(+.f64 x (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
(+.f64 x (/.f64 (+.f64 (*.f64 z (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) y)) (*.f64 11167812716741/40000000000000 y)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
(*.f64 y (+.f64 (*.f64 11167812716741/40000000000000 (/.f64 1 (+.f64 104698244219447/31250000000000 (*.f64 z (+.f64 6012459259764103/1000000000000000 z))))) (/.f64 (*.f64 z (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z))) (+.f64 104698244219447/31250000000000 (*.f64 z (+.f64 6012459259764103/1000000000000000 z))))))
(+.f64 x (/.f64 (+.f64 (*.f64 z (*.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) y)) (*.f64 11167812716741/40000000000000 y)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
(+.f64 x (/.f64 (+.f64 (*.f64 z (*.f64 (/.f64 (-.f64 94453173760125479739253764129/390625000000000000000000000000 (*.f64 (pow.f64 z 2) 480125098611044764748221188321/100000000000000000000000000000000)) (-.f64 307332350656623/625000000000000 (*.f64 z 692910599291889/10000000000000000))) y)) (*.f64 11167812716741/40000000000000 y)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
(+.f64 x (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (cbrt.f64 (*.f64 (pow.f64 z 3) 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000)) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
(+.f64 x (*.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)))
Outputs
(+.f64 x (*.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)))
(+.f64 x (/.f64 y 10000000000000000/692910599291889))
Calls

2 calls:

58.0ms
(/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000))
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)))
Results
AccuracySegmentsBranch
98.7%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)))
98.7%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)

regimes95.0ms (0.7%)

Counts
22 → 3
Calls
Call 1
Inputs
x
(*.f64 y 692910599291889/10000000000000000)
(+.f64 x (*.f64 692910599291889/10000000000000000 y))
(+.f64 x (*.f64 279195317918525/3350343815022304 y))
(+.f64 x (*.f64 y 692910599291889/10000000000000000))
(+.f64 x (*.f64 y 279195317918525/3350343815022304))
(+.f64 x (/.f64 y 3350343815022304/279195317918525))
(+.f64 x (/.f64 y 10000000000000000/692910599291889))
(*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)))
(*.f64 y (-.f64 692910599291889/10000000000000000 (/.f64 -751220861604756070699018739433/10000000000000000000000000000000 z)))
(+.f64 x (/.f64 y (+.f64 3350343815022304/279195317918525 (*.f64 z 155900051080628738716045985239/389750127738131234692690878125))))
(+.f64 x (/.f64 y (-.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z))))
(-.f64 (*.f64 692910599291889/10000000000000000 y) (*.f64 -751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)))
(+.f64 x (-.f64 (*.f64 692910599291889/10000000000000000 y) (/.f64 (*.f64 y -751220861604756070699018739433/10000000000000000000000000000000) z)))
(+.f64 x (-.f64 (/.f64 1 (/.f64 10000000000000000/692910599291889 y)) (/.f64 (*.f64 y -751220861604756070699018739433/10000000000000000000000000000000) z)))
(/.f64 (*.f64 y (+.f64 11167812716741/40000000000000 (*.f64 z (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z))))) (+.f64 104698244219447/31250000000000 (*.f64 z (+.f64 6012459259764103/1000000000000000 z))))
(+.f64 x (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
(+.f64 x (/.f64 (+.f64 (*.f64 z (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) y)) (*.f64 11167812716741/40000000000000 y)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
(*.f64 y (+.f64 (*.f64 11167812716741/40000000000000 (/.f64 1 (+.f64 104698244219447/31250000000000 (*.f64 z (+.f64 6012459259764103/1000000000000000 z))))) (/.f64 (*.f64 z (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z))) (+.f64 104698244219447/31250000000000 (*.f64 z (+.f64 6012459259764103/1000000000000000 z))))))
(+.f64 x (/.f64 (+.f64 (*.f64 z (*.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) y)) (*.f64 11167812716741/40000000000000 y)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
(+.f64 x (/.f64 (+.f64 (*.f64 z (*.f64 (/.f64 (-.f64 94453173760125479739253764129/390625000000000000000000000000 (*.f64 (pow.f64 z 2) 480125098611044764748221188321/100000000000000000000000000000000)) (-.f64 307332350656623/625000000000000 (*.f64 z 692910599291889/10000000000000000))) y)) (*.f64 11167812716741/40000000000000 y)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
(+.f64 x (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (cbrt.f64 (*.f64 (pow.f64 z 3) 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000)) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
Outputs
(+.f64 x (/.f64 y 10000000000000000/692910599291889))
(+.f64 x (/.f64 (+.f64 (*.f64 z (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) y)) (*.f64 11167812716741/40000000000000 y)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
(+.f64 x (/.f64 y (-.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z))))
Calls

3 calls:

34.0ms
z
31.0ms
(/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000))
29.0ms
(+.f64 x (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
Results
AccuracySegmentsBranch
99.8%3z
99.7%3(+.f64 x (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
99.7%3(/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000))
Compiler

Compiled 50 to 38 computations (24% saved)

regimes29.0ms (0.2%)

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

1 calls:

28.0ms
z
Results
AccuracySegmentsBranch
99.8%3z
Compiler

Compiled 4 to 3 computations (25% saved)

regimes89.0ms (0.7%)

Counts
16 → 3
Calls
Call 1
Inputs
x
(*.f64 y 692910599291889/10000000000000000)
(+.f64 x (*.f64 692910599291889/10000000000000000 y))
(+.f64 x (*.f64 279195317918525/3350343815022304 y))
(+.f64 x (*.f64 y 692910599291889/10000000000000000))
(+.f64 x (*.f64 y 279195317918525/3350343815022304))
(+.f64 x (/.f64 y 3350343815022304/279195317918525))
(+.f64 x (/.f64 y 10000000000000000/692910599291889))
(*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)))
(*.f64 y (-.f64 692910599291889/10000000000000000 (/.f64 -751220861604756070699018739433/10000000000000000000000000000000 z)))
(+.f64 x (/.f64 y (+.f64 3350343815022304/279195317918525 (*.f64 z 155900051080628738716045985239/389750127738131234692690878125))))
(+.f64 x (/.f64 y (-.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z))))
(-.f64 (*.f64 692910599291889/10000000000000000 y) (*.f64 -751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)))
(+.f64 x (-.f64 (*.f64 692910599291889/10000000000000000 y) (/.f64 (*.f64 y -751220861604756070699018739433/10000000000000000000000000000000) z)))
(+.f64 x (-.f64 (/.f64 1 (/.f64 10000000000000000/692910599291889 y)) (/.f64 (*.f64 y -751220861604756070699018739433/10000000000000000000000000000000) z)))
(/.f64 (*.f64 y (+.f64 11167812716741/40000000000000 (*.f64 z (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z))))) (+.f64 104698244219447/31250000000000 (*.f64 z (+.f64 6012459259764103/1000000000000000 z))))
Outputs
(+.f64 x (/.f64 y 10000000000000000/692910599291889))
(+.f64 x (/.f64 y (+.f64 3350343815022304/279195317918525 (*.f64 z 155900051080628738716045985239/389750127738131234692690878125))))
(+.f64 x (/.f64 y (-.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z))))
Calls

1 calls:

88.0ms
z
Results
AccuracySegmentsBranch
99.5%3z
Compiler

Compiled 4 to 3 computations (25% saved)

regimes30.0ms (0.2%)

Counts
11 → 3
Calls
Call 1
Inputs
x
(*.f64 y 692910599291889/10000000000000000)
(+.f64 x (*.f64 692910599291889/10000000000000000 y))
(+.f64 x (*.f64 279195317918525/3350343815022304 y))
(+.f64 x (*.f64 y 692910599291889/10000000000000000))
(+.f64 x (*.f64 y 279195317918525/3350343815022304))
(+.f64 x (/.f64 y 3350343815022304/279195317918525))
(+.f64 x (/.f64 y 10000000000000000/692910599291889))
(*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)))
(*.f64 y (-.f64 692910599291889/10000000000000000 (/.f64 -751220861604756070699018739433/10000000000000000000000000000000 z)))
(+.f64 x (/.f64 y (+.f64 3350343815022304/279195317918525 (*.f64 z 155900051080628738716045985239/389750127738131234692690878125))))
Outputs
(+.f64 x (/.f64 y 10000000000000000/692910599291889))
(+.f64 x (/.f64 y (+.f64 3350343815022304/279195317918525 (*.f64 z 155900051080628738716045985239/389750127738131234692690878125))))
(+.f64 x (/.f64 y 10000000000000000/692910599291889))
Calls

1 calls:

29.0ms
z
Results
AccuracySegmentsBranch
99.3%3z
Compiler

Compiled 4 to 3 computations (25% saved)

regimes19.0ms (0.1%)

Counts
10 → 3
Calls
Call 1
Inputs
x
(*.f64 y 692910599291889/10000000000000000)
(+.f64 x (*.f64 692910599291889/10000000000000000 y))
(+.f64 x (*.f64 279195317918525/3350343815022304 y))
(+.f64 x (*.f64 y 692910599291889/10000000000000000))
(+.f64 x (*.f64 y 279195317918525/3350343815022304))
(+.f64 x (/.f64 y 3350343815022304/279195317918525))
(+.f64 x (/.f64 y 10000000000000000/692910599291889))
(*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)))
(*.f64 y (-.f64 692910599291889/10000000000000000 (/.f64 -751220861604756070699018739433/10000000000000000000000000000000 z)))
Outputs
(+.f64 x (/.f64 y 10000000000000000/692910599291889))
(+.f64 x (/.f64 y 3350343815022304/279195317918525))
(+.f64 x (/.f64 y 10000000000000000/692910599291889))
Calls

1 calls:

18.0ms
z
Results
AccuracySegmentsBranch
98.9%3z
Compiler

Compiled 4 to 3 computations (25% saved)

regimes16.0ms (0.1%)

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

1 calls:

15.0ms
z
Results
AccuracySegmentsBranch
98.7%3z
Compiler

Compiled 4 to 3 computations (25% saved)

regimes15.0ms (0.1%)

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

1 calls:

14.0ms
z
Results
AccuracySegmentsBranch
98.7%3z
Compiler

Compiled 4 to 3 computations (25% saved)

regimes12.0ms (0.1%)

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

3 calls:

4.0ms
z
4.0ms
x
4.0ms
y
Results
AccuracySegmentsBranch
79.6%1y
79.6%1x
79.6%1z
Compiler

Compiled 12 to 9 computations (25% saved)

regimes77.0ms (0.6%)

Counts
2 → 5
Calls
Call 1
Inputs
x
(*.f64 y 692910599291889/10000000000000000)
Outputs
(*.f64 y 692910599291889/10000000000000000)
x
(*.f64 y 692910599291889/10000000000000000)
x
(*.f64 y 692910599291889/10000000000000000)
Calls

3 calls:

15.0ms
y
15.0ms
x
13.0ms
z
Results
AccuracySegmentsBranch
57.3%5z
65.3%5y
63.0%5x
Compiler

Compiled 12 to 9 computations (25% saved)

regimes6.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

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

2 calls:

3.0ms
y
3.0ms
x
Results
AccuracySegmentsBranch
52.9%1x
52.9%1y
Compiler

Compiled 8 to 6 computations (25% saved)

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
3.006543628767068e+303
+inf
Compiler

Compiled 30 to 23 computations (23.3% saved)

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
3.006543628767068e+303
+inf
Compiler

Compiled 30 to 23 computations (23.3% saved)

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
3.006543628767068e+303
+inf
Compiler

Compiled 30 to 23 computations (23.3% saved)

bsearch38.0ms (0.3%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
17.0ms
21596.260796442053
2281633.3939105486
20.0ms
-4.2398192951262434e+40
-3.0639740560250084e+37
Results
33.0ms240×256valid
Compiler

Compiled 598 to 449 computations (24.9% saved)

bsearch42.0ms (0.3%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
18.0ms
21596.260796442053
2281633.3939105486
24.0ms
-1.2038971985048666e+50
-4.2398192951262434e+40
Results
37.0ms256×256valid
Compiler

Compiled 602 to 460 computations (23.6% saved)

bsearch40.0ms (0.3%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
20.0ms
1.1498616733510634e-7
0.0007700089970001522
20.0ms
-4.2398192951262434e+40
-3.0639740560250084e+37
Results
35.0ms256×256valid
Compiler

Compiled 414 to 319 computations (22.9% saved)

bsearch41.0ms (0.3%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
20.0ms
1.1498616733510634e-7
0.0007700089970001522
20.0ms
-4.2398192951262434e+40
-3.0639740560250084e+37
Results
37.0ms256×256valid
Compiler

Compiled 382 to 295 computations (22.8% saved)

bsearch40.0ms (0.3%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
19.0ms
1.1498616733510634e-7
0.0007700089970001522
20.0ms
-4.2398192951262434e+40
-3.0639740560250084e+37
Results
36.0ms256×256valid
Compiler

Compiled 318 to 247 computations (22.3% saved)

bsearch44.0ms (0.3%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
24.0ms
1.1498616733510634e-7
0.0007700089970001522
20.0ms
-4.2398192951262434e+40
-3.0639740560250084e+37
Results
41.0ms256×256valid
Compiler

Compiled 318 to 247 computations (22.3% saved)

bsearch39.0ms (0.3%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
19.0ms
1.1498616733510634e-7
0.0007700089970001522
20.0ms
-4.2398192951262434e+40
-3.0639740560250084e+37
Results
36.0ms256×256valid
Compiler

Compiled 318 to 247 computations (22.3% saved)

bsearch96.0ms (0.8%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
40.0ms
2.14278088892202e+61
4.057617462688576e+61
20.0ms
-9.266204459240706e-88
-1.0676207729867926e-91
22.0ms
-2.2038727950608407e-54
-3.8553598737180376e-60
15.0ms
-1.7086995030191363e+75
-1.744939650022932e+74
Results
91.0ms432×256valid
Compiler

Compiled 354 to 293 computations (17.2% saved)

simplify41.0ms (0.3%)

Algorithm
egg-herbie
Rules
38×+-commutative
26×*-commutative
14×if-if-or-not
not-or
sub-neg
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01081317
11501317
21601317
31701313
41771313
51821313
61831313
71841313
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)) 4999999999999999696267762527682310930020143610058662476595385785661602281506616951421654628720253874218428059028081086289358596871318015265117899420433441387493650720841005520533855126581220452921859901274275799538319841275410916329774556134803974902673017459331286203203802190422979931037452174069071872) (fma.f64 y (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) x) (+.f64 x (/.f64 y 10000000000000000/692910599291889)))
(if (<=.f64 (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)) 4999999999999999696267762527682310930020143610058662476595385785661602281506616951421654628720253874218428059028081086289358596871318015265117899420433441387493650720841005520533855126581220452921859901274275799538319841275410916329774556134803974902673017459331286203203802190422979931037452174069071872) (+.f64 x (/.f64 y (/.f64 (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000) (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000)))) (+.f64 x (/.f64 y 10000000000000000/692910599291889)))
(if (<=.f64 (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)) 4999999999999999696267762527682310930020143610058662476595385785661602281506616951421654628720253874218428059028081086289358596871318015265117899420433441387493650720841005520533855126581220452921859901274275799538319841275410916329774556134803974902673017459331286203203802190422979931037452174069071872) (+.f64 x (*.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000))) (+.f64 x (/.f64 y 10000000000000000/692910599291889)))
(if (<=.f64 z -31000000000000001757761616363586060288) (+.f64 x (/.f64 y 10000000000000000/692910599291889)) (if (<=.f64 z 2200000) (+.f64 x (/.f64 (+.f64 (*.f64 z (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) y)) (*.f64 11167812716741/40000000000000 y)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000))) (+.f64 x (/.f64 y (-.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z))))))
(if (<=.f64 z -43000000000000002394313159889282024865792) (+.f64 x (/.f64 y 10000000000000000/692910599291889)) (if (<=.f64 z 2200000) (+.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 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z))))))
(if (<=.f64 z -31000000000000001757761616363586060288) (+.f64 x (/.f64 y 10000000000000000/692910599291889)) (if (<=.f64 z 3458764513820541/4611686018427387904) (+.f64 x (/.f64 y (+.f64 3350343815022304/279195317918525 (*.f64 z 155900051080628738716045985239/389750127738131234692690878125)))) (+.f64 x (/.f64 y (-.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z))))))
(if (<=.f64 z -31000000000000001757761616363586060288) (+.f64 x (/.f64 y 10000000000000000/692910599291889)) (if (<=.f64 z 3458764513820541/4611686018427387904) (+.f64 x (/.f64 y (+.f64 3350343815022304/279195317918525 (*.f64 z 155900051080628738716045985239/389750127738131234692690878125)))) (+.f64 x (/.f64 y 10000000000000000/692910599291889))))
(if (<=.f64 z -31000000000000001757761616363586060288) (+.f64 x (/.f64 y 10000000000000000/692910599291889)) (if (<=.f64 z 3458764513820541/4611686018427387904) (+.f64 x (/.f64 y 3350343815022304/279195317918525)) (+.f64 x (/.f64 y 10000000000000000/692910599291889))))
(if (<=.f64 z -31000000000000001757761616363586060288) (+.f64 x (*.f64 692910599291889/10000000000000000 y)) (if (<=.f64 z 3458764513820541/4611686018427387904) (+.f64 x (/.f64 y 3350343815022304/279195317918525)) (+.f64 x (*.f64 692910599291889/10000000000000000 y))))
(if (<=.f64 z -31000000000000001757761616363586060288) (+.f64 x (*.f64 692910599291889/10000000000000000 y)) (if (<=.f64 z 3458764513820541/4611686018427387904) (+.f64 x (*.f64 279195317918525/3350343815022304 y)) (+.f64 x (*.f64 692910599291889/10000000000000000 y))))
(+.f64 x (*.f64 692910599291889/10000000000000000 y))
(if (<=.f64 y -1199999999999999992194639624726952485308668475297491590825325392876076531712) (*.f64 y 692910599291889/10000000000000000) (if (<=.f64 y -1764020109474739/452312848583266388373324160190187140051835877600158453279131187530910662656) x (if (<=.f64 y -8242260651214319/8958978968711216842229769122273777112486581988938598139599956403855167484720643781523509973086428463104) (*.f64 y 692910599291889/10000000000000000) (if (<=.f64 y 22000000000000000313764669241588296131486159691790157990592512) x (*.f64 y 692910599291889/10000000000000000)))))
x
Outputs
(if (<=.f64 (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)) 4999999999999999696267762527682310930020143610058662476595385785661602281506616951421654628720253874218428059028081086289358596871318015265117899420433441387493650720841005520533855126581220452921859901274275799538319841275410916329774556134803974902673017459331286203203802190422979931037452174069071872) (fma.f64 y (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) x) (+.f64 x (/.f64 y 10000000000000000/692910599291889)))
(if (<=.f64 (/.f64 (*.f64 y (+.f64 (*.f64 z (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000)) (+.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)) 104698244219447/31250000000000)) 4999999999999999696267762527682310930020143610058662476595385785661602281506616951421654628720253874218428059028081086289358596871318015265117899420433441387493650720841005520533855126581220452921859901274275799538319841275410916329774556134803974902673017459331286203203802190422979931037452174069071872) (fma.f64 y (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) x) (+.f64 x (/.f64 y 10000000000000000/692910599291889)))
(if (<=.f64 (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)) 4999999999999999696267762527682310930020143610058662476595385785661602281506616951421654628720253874218428059028081086289358596871318015265117899420433441387493650720841005520533855126581220452921859901274275799538319841275410916329774556134803974902673017459331286203203802190422979931037452174069071872) (+.f64 x (/.f64 y (/.f64 (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000) (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000)))) (+.f64 x (/.f64 y 10000000000000000/692910599291889)))
(if (<=.f64 (/.f64 (*.f64 y (+.f64 (*.f64 z (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000)) (+.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)) 104698244219447/31250000000000)) 4999999999999999696267762527682310930020143610058662476595385785661602281506616951421654628720253874218428059028081086289358596871318015265117899420433441387493650720841005520533855126581220452921859901274275799538319841275410916329774556134803974902673017459331286203203802190422979931037452174069071872) (+.f64 x (/.f64 y (/.f64 (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000) (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000)))) (+.f64 x (/.f64 y 10000000000000000/692910599291889)))
(if (<=.f64 (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)) 4999999999999999696267762527682310930020143610058662476595385785661602281506616951421654628720253874218428059028081086289358596871318015265117899420433441387493650720841005520533855126581220452921859901274275799538319841275410916329774556134803974902673017459331286203203802190422979931037452174069071872) (+.f64 x (*.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000))) (+.f64 x (/.f64 y 10000000000000000/692910599291889)))
(if (<=.f64 (/.f64 (*.f64 y (+.f64 (*.f64 z (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000)) (+.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)) 104698244219447/31250000000000)) 4999999999999999696267762527682310930020143610058662476595385785661602281506616951421654628720253874218428059028081086289358596871318015265117899420433441387493650720841005520533855126581220452921859901274275799538319841275410916329774556134803974902673017459331286203203802190422979931037452174069071872) (+.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 10000000000000000/692910599291889)))
(if (<=.f64 z -31000000000000001757761616363586060288) (+.f64 x (/.f64 y 10000000000000000/692910599291889)) (if (<=.f64 z 2200000) (+.f64 x (/.f64 (+.f64 (*.f64 z (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) y)) (*.f64 11167812716741/40000000000000 y)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000))) (+.f64 x (/.f64 y (-.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z))))))
(if (<=.f64 z -31000000000000001757761616363586060288) (+.f64 x (/.f64 y 10000000000000000/692910599291889)) (if (<=.f64 z 2200000) (+.f64 x (/.f64 (+.f64 (*.f64 z (*.f64 y (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000))) (*.f64 y 11167812716741/40000000000000)) (+.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)) 104698244219447/31250000000000))) (+.f64 x (/.f64 y (-.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z))))))
(if (<=.f64 z -43000000000000002394313159889282024865792) (+.f64 x (/.f64 y 10000000000000000/692910599291889)) (if (<=.f64 z 2200000) (+.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 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z))))))
(if (<=.f64 z -43000000000000002394313159889282024865792) (+.f64 x (/.f64 y 10000000000000000/692910599291889)) (if (<=.f64 z 2200000) (+.f64 (/.f64 (*.f64 y (+.f64 (*.f64 z (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000)) (+.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)) 104698244219447/31250000000000)) x) (+.f64 x (/.f64 y (-.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z))))))
(if (<=.f64 z -31000000000000001757761616363586060288) (+.f64 x (/.f64 y 10000000000000000/692910599291889)) (if (<=.f64 z 3458764513820541/4611686018427387904) (+.f64 x (/.f64 y (+.f64 3350343815022304/279195317918525 (*.f64 z 155900051080628738716045985239/389750127738131234692690878125)))) (+.f64 x (/.f64 y (-.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z))))))
(if (<=.f64 z -31000000000000001757761616363586060288) (+.f64 x (/.f64 y 10000000000000000/692910599291889)) (if (<=.f64 z 3458764513820541/4611686018427387904) (+.f64 x (/.f64 y (+.f64 3350343815022304/279195317918525 (*.f64 z 155900051080628738716045985239/389750127738131234692690878125)))) (+.f64 x (/.f64 y 10000000000000000/692910599291889))))
(if (or (<=.f64 z -31000000000000001757761616363586060288) (not (<=.f64 z 3458764513820541/4611686018427387904))) (+.f64 x (/.f64 y 10000000000000000/692910599291889)) (+.f64 x (/.f64 y (+.f64 3350343815022304/279195317918525 (*.f64 z 155900051080628738716045985239/389750127738131234692690878125)))))
(if (<=.f64 z -31000000000000001757761616363586060288) (+.f64 x (/.f64 y 10000000000000000/692910599291889)) (if (<=.f64 z 3458764513820541/4611686018427387904) (+.f64 x (/.f64 y 3350343815022304/279195317918525)) (+.f64 x (/.f64 y 10000000000000000/692910599291889))))
(if (or (<=.f64 z -31000000000000001757761616363586060288) (not (<=.f64 z 3458764513820541/4611686018427387904))) (+.f64 x (/.f64 y 10000000000000000/692910599291889)) (+.f64 x (/.f64 y 3350343815022304/279195317918525)))
(if (<=.f64 z -31000000000000001757761616363586060288) (+.f64 x (*.f64 692910599291889/10000000000000000 y)) (if (<=.f64 z 3458764513820541/4611686018427387904) (+.f64 x (/.f64 y 3350343815022304/279195317918525)) (+.f64 x (*.f64 692910599291889/10000000000000000 y))))
(if (or (<=.f64 z -31000000000000001757761616363586060288) (not (<=.f64 z 3458764513820541/4611686018427387904))) (+.f64 x (*.f64 y 692910599291889/10000000000000000)) (+.f64 x (/.f64 y 3350343815022304/279195317918525)))
(if (<=.f64 z -31000000000000001757761616363586060288) (+.f64 x (*.f64 692910599291889/10000000000000000 y)) (if (<=.f64 z 3458764513820541/4611686018427387904) (+.f64 x (*.f64 279195317918525/3350343815022304 y)) (+.f64 x (*.f64 692910599291889/10000000000000000 y))))
(if (or (<=.f64 z -31000000000000001757761616363586060288) (not (<=.f64 z 3458764513820541/4611686018427387904))) (+.f64 x (*.f64 y 692910599291889/10000000000000000)) (+.f64 x (*.f64 y 279195317918525/3350343815022304)))
(+.f64 x (*.f64 692910599291889/10000000000000000 y))
(+.f64 x (*.f64 y 692910599291889/10000000000000000))
(if (<=.f64 y -1199999999999999992194639624726952485308668475297491590825325392876076531712) (*.f64 y 692910599291889/10000000000000000) (if (<=.f64 y -1764020109474739/452312848583266388373324160190187140051835877600158453279131187530910662656) x (if (<=.f64 y -8242260651214319/8958978968711216842229769122273777112486581988938598139599956403855167484720643781523509973086428463104) (*.f64 y 692910599291889/10000000000000000) (if (<=.f64 y 22000000000000000313764669241588296131486159691790157990592512) x (*.f64 y 692910599291889/10000000000000000)))))
(if (<=.f64 y -1199999999999999992194639624726952485308668475297491590825325392876076531712) (*.f64 y 692910599291889/10000000000000000) (if (<=.f64 y -1764020109474739/452312848583266388373324160190187140051835877600158453279131187530910662656) x (if (or (<=.f64 y -8242260651214319/8958978968711216842229769122273777112486581988938598139599956403855167484720643781523509973086428463104) (not (<=.f64 y 22000000000000000313764669241588296131486159691790157990592512))) (*.f64 y 692910599291889/10000000000000000) x)))
(if (or (<=.f64 y -1199999999999999992194639624726952485308668475297491590825325392876076531712) (not (or (<=.f64 y -1764020109474739/452312848583266388373324160190187140051835877600158453279131187530910662656) (and (not (<=.f64 y -8242260651214319/8958978968711216842229769122273777112486581988938598139599956403855167484720643781523509973086428463104)) (<=.f64 y 22000000000000000313764669241588296131486159691790157990592512))))) (*.f64 y 692910599291889/10000000000000000) x)
x
Compiler

Compiled 400 to 290 computations (27.5% saved)

soundness3.4s (26.3%)

Rules
1648×unsub-neg
1648×unsub-neg
1648×unsub-neg
1396×fma-def
1396×fma-def
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
068789
1191765
2492729
31736713
46136713
068789
1191765
2492729
31736713
46136713
0111554825
1302054161
092119675
1249318023
0111554825
1302054161
0111554825
1302054161
036659
1576659
26348659
036659
1576659
26348659
068789
1191765
2492729
31736713
46136713
Stop Event
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
Compiler

Compiled 966 to 664 computations (31.3% saved)

end1.0ms (0%)

preprocess252.0ms (2%)

Compiler

Compiled 912 to 638 computations (30% saved)

Profiling

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