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

Time bar (total: 13.2s)

analyze165.0ms (1.2%)

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

Compiled 25 to 19 computations (24% saved)

Precisions
Click to see histograms. Total time spent on operations: 81.0ms
Operation ival-mult, time spent: 37.0ms, 46.0% of total-time
Operation ival-add, time spent: 34.0ms, 42.0% of total-time
Operation ival-div, time spent: 5.0ms, 6.0% of total-time
Operation const, time spent: 4.0ms, 5.0% of total-time

sample1.7s (12.8%)

Results
1.5s8255×256valid
0.0ms256valid
Precisions
Click to see histograms. Total time spent on operations: 616.0ms
Operation ival-mult, time spent: 265.0ms, 43.0% of total-time
Operation ival-add, time spent: 257.0ms, 42.0% of total-time
Operation ival-div, time spent: 62.0ms, 10.0% of total-time
Operation const, time spent: 32.0ms, 5.0% of total-time
Bogosity

preprocess453.0ms (3.4%)

Algorithm
egg-herbie
Rules
1620×unsub-neg
1238×fma-define
960×fma-neg
924×distribute-lft-in
900×associate-*l*
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
800-0-(/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000))
160-0-(*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000))
00-0-x
00-0-(*.f64 z 692910599291889/10000000000000000)
00-0-11167812716741/40000000000000
00-0-(+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000)
00-0-(+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)
00-0-z
00-0-(*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z)
00-0-104698244219447/31250000000000
00-0-(*.f64 (+.f64 z 6012459259764103/1000000000000000) z)
00-0-692910599291889/10000000000000000
00-0-y
00-0-(+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)
00-0-(+.f64 x (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
00-0-6012459259764103/1000000000000000
00-0-(+.f64 z 6012459259764103/1000000000000000)
00-0-307332350656623/625000000000000
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
068789
1191737
2497729
31719713
45642713
Stop Event
node limit
Calls
Call 1
Inputs
(+.f64 x (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
(+.f64 x (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
(+.f64 (neg.f64 x) (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
(+.f64 x (/.f64 (*.f64 (neg.f64 y) (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
(+.f64 x (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 (neg.f64 z) 692910599291889/10000000000000000) 307332350656623/625000000000000) (neg.f64 z)) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 (neg.f64 z) 6012459259764103/1000000000000000) (neg.f64 z)) 104698244219447/31250000000000)))
(neg.f64 (+.f64 (neg.f64 x) (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000))))
(neg.f64 (+.f64 x (/.f64 (*.f64 (neg.f64 y) (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000))))
(neg.f64 (+.f64 x (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 (neg.f64 z) 692910599291889/10000000000000000) 307332350656623/625000000000000) (neg.f64 z)) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 (neg.f64 z) 6012459259764103/1000000000000000) (neg.f64 z)) 104698244219447/31250000000000))))
(+.f64 y (/.f64 (*.f64 x (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
(+.f64 z (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 x 692910599291889/10000000000000000) 307332350656623/625000000000000) x) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 x 6012459259764103/1000000000000000) x) 104698244219447/31250000000000)))
(+.f64 x (/.f64 (*.f64 z (+.f64 (*.f64 (+.f64 (*.f64 y 692910599291889/10000000000000000) 307332350656623/625000000000000) y) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 y 6012459259764103/1000000000000000) y) 104698244219447/31250000000000)))
Outputs
(+.f64 x (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
(+.f64 x (*.f64 y (/.f64 (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000) (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000))))
(fma.f64 y (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) x)
(fma.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) x)
(+.f64 x (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
(+.f64 x (*.f64 y (/.f64 (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000) (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000))))
(fma.f64 y (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) x)
(fma.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) x)
(+.f64 (neg.f64 x) (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
(+.f64 (*.f64 y (/.f64 (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000) (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000))) (neg.f64 x))
(-.f64 (*.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) x)
(fma.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (neg.f64 x))
(+.f64 x (/.f64 (*.f64 (neg.f64 y) (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
(+.f64 x (*.f64 (neg.f64 y) (/.f64 (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000) (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000))))
(-.f64 x (*.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))))
(-.f64 x (*.f64 y (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))))
(+.f64 x (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 (neg.f64 z) 692910599291889/10000000000000000) 307332350656623/625000000000000) (neg.f64 z)) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 (neg.f64 z) 6012459259764103/1000000000000000) (neg.f64 z)) 104698244219447/31250000000000)))
(+.f64 x (/.f64 (*.f64 y (fma.f64 (fma.f64 (neg.f64 z) 692910599291889/10000000000000000 307332350656623/625000000000000) (neg.f64 z) 11167812716741/40000000000000)) (fma.f64 (+.f64 6012459259764103/1000000000000000 (neg.f64 z)) (neg.f64 z) 104698244219447/31250000000000)))
(fma.f64 y (/.f64 (fma.f64 (neg.f64 z) (-.f64 307332350656623/625000000000000 (*.f64 z 692910599291889/10000000000000000)) 11167812716741/40000000000000) (-.f64 104698244219447/31250000000000 (*.f64 z (-.f64 6012459259764103/1000000000000000 z)))) x)
(fma.f64 y (/.f64 (fma.f64 (neg.f64 (fma.f64 z -692910599291889/10000000000000000 307332350656623/625000000000000)) z 11167812716741/40000000000000) (-.f64 104698244219447/31250000000000 (*.f64 z (-.f64 6012459259764103/1000000000000000 z)))) x)
(fma.f64 y (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 -307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z -6012459259764103/1000000000000000) 104698244219447/31250000000000)) x)
(neg.f64 (+.f64 (neg.f64 x) (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000))))
(+.f64 x (*.f64 (neg.f64 y) (/.f64 (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000) (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000))))
(-.f64 x (*.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))))
(-.f64 x (*.f64 y (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))))
(neg.f64 (+.f64 x (/.f64 (*.f64 (neg.f64 y) (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000))))
(+.f64 (*.f64 y (/.f64 (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000) (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000))) (neg.f64 x))
(-.f64 (*.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) x)
(fma.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (neg.f64 x))
(neg.f64 (+.f64 x (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 (neg.f64 z) 692910599291889/10000000000000000) 307332350656623/625000000000000) (neg.f64 z)) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 (neg.f64 z) 6012459259764103/1000000000000000) (neg.f64 z)) 104698244219447/31250000000000))))
(neg.f64 (+.f64 x (/.f64 (*.f64 y (fma.f64 (fma.f64 (neg.f64 z) 692910599291889/10000000000000000 307332350656623/625000000000000) (neg.f64 z) 11167812716741/40000000000000)) (fma.f64 (+.f64 6012459259764103/1000000000000000 (neg.f64 z)) (neg.f64 z) 104698244219447/31250000000000))))
(neg.f64 (fma.f64 y (/.f64 (fma.f64 (neg.f64 z) (-.f64 307332350656623/625000000000000 (*.f64 z 692910599291889/10000000000000000)) 11167812716741/40000000000000) (-.f64 104698244219447/31250000000000 (*.f64 z (-.f64 6012459259764103/1000000000000000 z)))) x))
(neg.f64 (fma.f64 y (/.f64 (fma.f64 (neg.f64 (fma.f64 z -692910599291889/10000000000000000 307332350656623/625000000000000)) z 11167812716741/40000000000000) (-.f64 104698244219447/31250000000000 (*.f64 z (-.f64 6012459259764103/1000000000000000 z)))) x))
(-.f64 (*.f64 y (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 -307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (-.f64 6012459259764103/1000000000000000 z) -104698244219447/31250000000000))) x)
(+.f64 y (/.f64 (*.f64 x (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
(+.f64 y (*.f64 x (/.f64 (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000) (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000))))
(fma.f64 x (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) y)
(fma.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 x (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) y)
(+.f64 z (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 x 692910599291889/10000000000000000) 307332350656623/625000000000000) x) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 x 6012459259764103/1000000000000000) x) 104698244219447/31250000000000)))
(+.f64 z (/.f64 (*.f64 y (fma.f64 (fma.f64 x 692910599291889/10000000000000000 307332350656623/625000000000000) x 11167812716741/40000000000000)) (fma.f64 (+.f64 x 6012459259764103/1000000000000000) x 104698244219447/31250000000000)))
(fma.f64 y (/.f64 (fma.f64 x (fma.f64 x 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 x (+.f64 x 6012459259764103/1000000000000000) 104698244219447/31250000000000)) z)
(+.f64 x (/.f64 (*.f64 z (+.f64 (*.f64 (+.f64 (*.f64 y 692910599291889/10000000000000000) 307332350656623/625000000000000) y) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 y 6012459259764103/1000000000000000) y) 104698244219447/31250000000000)))
(+.f64 x (/.f64 (*.f64 z (fma.f64 (fma.f64 y 692910599291889/10000000000000000 307332350656623/625000000000000) y 11167812716741/40000000000000)) (fma.f64 (+.f64 y 6012459259764103/1000000000000000) y 104698244219447/31250000000000)))
(fma.f64 z (/.f64 (fma.f64 y (fma.f64 y 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 y (+.f64 y 6012459259764103/1000000000000000) 104698244219447/31250000000000)) x)
Compiler

Compiled 228 to 166 computations (27.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 164.0ms
Operation ival-add, time spent: 67.0ms, 41.0% of total-time
Operation ival-mult, time spent: 67.0ms, 41.0% of total-time
Operation ival-div, time spent: 22.0ms, 13.0% of total-time
Operation const, time spent: 8.0ms, 5.0% of total-time

eval1.0ms (0%)

Compiler

Compiled 55 to 37 computations (32.7% saved)

prune2.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
70.6%
(fma.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) x)
68.9%
(+.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)))
72.9%
(+.f64 x (*.f64 y (/.f64 (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000) (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000))))
Compiler

Compiled 65 to 47 computations (27.7% saved)

localize469.0ms (3.5%)

Localize:

Found 12 expressions with local error:

NewAccuracyProgram
99.9%
(fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)
99.6%
(fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)
95.4%
(/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))
71.3%
(fma.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) x)
99.7%
(*.f64 (+.f64 z 6012459259764103/1000000000000000) z)
99.2%
(*.f64 z 692910599291889/10000000000000000)
93.6%
(*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000))
69.7%
(/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000))
99.9%
(fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000)
99.6%
(fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)
99.5%
(*.f64 y (/.f64 (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000) (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000)))
73.8%
(/.f64 (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000) (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000))
Compiler

Compiled 231 to 161 computations (30.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 261.0ms
Operation composed, time spent: 86.0ms, 33.0% of total-time
Operation ival-mult, time spent: 81.0ms, 31.0% of total-time
Operation ival-add, time spent: 72.0ms, 28.0% of total-time
Operation ival-div, time spent: 12.0ms, 5.0% of total-time
Operation const, time spent: 10.0ms, 4.0% of total-time

series44.0ms (0.3%)

Counts
12 → 216
Calls
Call 1
Inputs
#<alt (/.f64 (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000) (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000))>
#<alt (*.f64 y (/.f64 (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000) (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000)))>
#<alt (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)>
#<alt (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000)>
#<alt (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000))>
#<alt (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000))>
#<alt (*.f64 z 692910599291889/10000000000000000)>
#<alt (*.f64 (+.f64 z 6012459259764103/1000000000000000) z)>
#<alt (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)>
#<alt (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))>
#<alt (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)>
#<alt (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)>
Outputs
#<alt 279195317918525/3350343815022304>
#<alt (+.f64 279195317918525/3350343815022304 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z))>
#<alt (+.f64 279195317918525/3350343815022304 (*.f64 z (-.f64 (*.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 z) 155900051080628738716045985239/56124018394291031809500087342080)))>
#<alt (+.f64 279195317918525/3350343815022304 (*.f64 z (-.f64 (*.f64 z (+.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 (*.f64 -374943941275717765274452559944207169728571246668095556552487/629981088144543617699065742275429975113587435159029727787745280 z))) 155900051080628738716045985239/56124018394291031809500087342080)))>
#<alt 692910599291889/10000000000000000>
#<alt (+.f64 692910599291889/10000000000000000 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 1 z)))>
#<alt (-.f64 (+.f64 692910599291889/10000000000000000 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 1 z))) (/.f64 4046220386999211718548694042263781576003973599/10000000000000000000000000000000000000000000000 (pow.f64 z 2)))>
#<alt (-.f64 (+.f64 692910599291889/10000000000000000 (+.f64 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 1 z)) (*.f64 21810887065466482153109263568915904549915271947668467379916697/10000000000000000000000000000000000000000000000000000000000000 (/.f64 1 (pow.f64 z 3))))) (/.f64 4046220386999211718548694042263781576003973599/10000000000000000000000000000000000000000000000 (pow.f64 z 2)))>
#<alt 692910599291889/10000000000000000>
#<alt (+.f64 692910599291889/10000000000000000 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 1 z)))>
#<alt (+.f64 692910599291889/10000000000000000 (*.f64 -1 (/.f64 (-.f64 (*.f64 4046220386999211718548694042263781576003973599/10000000000000000000000000000000000000000000000 (/.f64 1 z)) 751220861604756070699018739433/10000000000000000000000000000000) z)))>
#<alt (+.f64 692910599291889/10000000000000000 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 21810887065466482153109263568915904549915271947668467379916697/10000000000000000000000000000000000000000000000000000000000000 (/.f64 1 z)) 4046220386999211718548694042263781576003973599/10000000000000000000000000000000000000000000000) z)) 751220861604756070699018739433/10000000000000000000000000000000) z)))>
#<alt (/.f64 (*.f64 y (+.f64 11167812716741/40000000000000 (*.f64 z (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z))))) (+.f64 104698244219447/31250000000000 (*.f64 z (+.f64 6012459259764103/1000000000000000 z))))>
#<alt (/.f64 (*.f64 y (+.f64 11167812716741/40000000000000 (*.f64 z (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z))))) (+.f64 104698244219447/31250000000000 (*.f64 z (+.f64 6012459259764103/1000000000000000 z))))>
#<alt (/.f64 (*.f64 y (+.f64 11167812716741/40000000000000 (*.f64 z (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z))))) (+.f64 104698244219447/31250000000000 (*.f64 z (+.f64 6012459259764103/1000000000000000 z))))>
#<alt (/.f64 (*.f64 y (+.f64 11167812716741/40000000000000 (*.f64 z (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z))))) (+.f64 104698244219447/31250000000000 (*.f64 z (+.f64 6012459259764103/1000000000000000 z))))>
#<alt (/.f64 (*.f64 y (+.f64 11167812716741/40000000000000 (*.f64 z (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z))))) (+.f64 104698244219447/31250000000000 (*.f64 z (+.f64 6012459259764103/1000000000000000 z))))>
#<alt (/.f64 (*.f64 y (+.f64 11167812716741/40000000000000 (*.f64 z (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z))))) (+.f64 104698244219447/31250000000000 (*.f64 z (+.f64 6012459259764103/1000000000000000 z))))>
#<alt (/.f64 (*.f64 y (+.f64 11167812716741/40000000000000 (*.f64 z (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z))))) (+.f64 104698244219447/31250000000000 (*.f64 z (+.f64 6012459259764103/1000000000000000 z))))>
#<alt (/.f64 (*.f64 y (+.f64 11167812716741/40000000000000 (*.f64 z (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z))))) (+.f64 104698244219447/31250000000000 (*.f64 z (+.f64 6012459259764103/1000000000000000 z))))>
#<alt (/.f64 (*.f64 y (+.f64 11167812716741/40000000000000 (*.f64 z (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z))))) (+.f64 104698244219447/31250000000000 (*.f64 z (+.f64 6012459259764103/1000000000000000 z))))>
#<alt (/.f64 (*.f64 y (+.f64 11167812716741/40000000000000 (*.f64 z (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z))))) (+.f64 104698244219447/31250000000000 (*.f64 z (+.f64 6012459259764103/1000000000000000 z))))>
#<alt (/.f64 (*.f64 y (+.f64 11167812716741/40000000000000 (*.f64 z (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z))))) (+.f64 104698244219447/31250000000000 (*.f64 z (+.f64 6012459259764103/1000000000000000 z))))>
#<alt (/.f64 (*.f64 y (+.f64 11167812716741/40000000000000 (*.f64 z (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z))))) (+.f64 104698244219447/31250000000000 (*.f64 z (+.f64 6012459259764103/1000000000000000 z))))>
#<alt (*.f64 279195317918525/3350343815022304 y)>
#<alt (+.f64 (*.f64 279195317918525/3350343815022304 y) (*.f64 z (-.f64 (*.f64 307332350656623/2093964884388940 y) (*.f64 1678650474502018223880473708075/11224803678858206361900017468416 y))))>
#<alt (+.f64 (*.f64 279195317918525/3350343815022304 y) (*.f64 z (-.f64 (+.f64 (*.f64 307332350656623/2093964884388940 y) (*.f64 z (-.f64 (*.f64 692910599291889/33503438150223040 y) (+.f64 (*.f64 272651677654809570312500000/10961722342634967150292985809 y) (*.f64 6012459259764103/3350343815022304 (-.f64 (*.f64 307332350656623/2093964884388940 y) (*.f64 1678650474502018223880473708075/11224803678858206361900017468416 y))))))) (*.f64 1678650474502018223880473708075/11224803678858206361900017468416 y))))>
#<alt (+.f64 (*.f64 279195317918525/3350343815022304 y) (*.f64 z (-.f64 (+.f64 (*.f64 307332350656623/2093964884388940 y) (*.f64 z (-.f64 (+.f64 (*.f64 -1 (*.f64 z (+.f64 (*.f64 31250000000000/104698244219447 (-.f64 (*.f64 307332350656623/2093964884388940 y) (*.f64 1678650474502018223880473708075/11224803678858206361900017468416 y))) (*.f64 6012459259764103/3350343815022304 (-.f64 (*.f64 692910599291889/33503438150223040 y) (+.f64 (*.f64 272651677654809570312500000/10961722342634967150292985809 y) (*.f64 6012459259764103/3350343815022304 (-.f64 (*.f64 307332350656623/2093964884388940 y) (*.f64 1678650474502018223880473708075/11224803678858206361900017468416 y))))))))) (*.f64 692910599291889/33503438150223040 y)) (+.f64 (*.f64 272651677654809570312500000/10961722342634967150292985809 y) (*.f64 6012459259764103/3350343815022304 (-.f64 (*.f64 307332350656623/2093964884388940 y) (*.f64 1678650474502018223880473708075/11224803678858206361900017468416 y))))))) (*.f64 1678650474502018223880473708075/11224803678858206361900017468416 y))))>
#<alt (*.f64 692910599291889/10000000000000000 y)>
#<alt (-.f64 (+.f64 (*.f64 692910599291889/10000000000000000 y) (*.f64 307332350656623/625000000000000 (/.f64 y z))) (*.f64 4166096748901211929300981260567/10000000000000000000000000000000 (/.f64 y z)))>
#<alt (-.f64 (+.f64 (*.f64 692910599291889/10000000000000000 y) (+.f64 (*.f64 11167812716741/40000000000000 (/.f64 y (pow.f64 z 2))) (*.f64 307332350656623/625000000000000 (/.f64 y z)))) (+.f64 (*.f64 72546523146905574025723165383/312500000000000000000000000000 (/.f64 y (pow.f64 z 2))) (+.f64 (*.f64 4166096748901211929300981260567/10000000000000000000000000000000 (/.f64 y z)) (*.f64 6012459259764103/1000000000000000 (/.f64 (-.f64 (*.f64 307332350656623/625000000000000 y) (*.f64 4166096748901211929300981260567/10000000000000000000000000000000 y)) (pow.f64 z 2))))))>
#<alt (-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 104698244219447/31250000000000 (-.f64 (*.f64 307332350656623/625000000000000 y) (*.f64 4166096748901211929300981260567/10000000000000000000000000000000 y))) (*.f64 6012459259764103/1000000000000000 (-.f64 (*.f64 11167812716741/40000000000000 y) (+.f64 (*.f64 72546523146905574025723165383/312500000000000000000000000000 y) (*.f64 6012459259764103/1000000000000000 (-.f64 (*.f64 307332350656623/625000000000000 y) (*.f64 4166096748901211929300981260567/10000000000000000000000000000000 y))))))) (pow.f64 z 3))) (+.f64 (*.f64 692910599291889/10000000000000000 y) (+.f64 (*.f64 11167812716741/40000000000000 (/.f64 y (pow.f64 z 2))) (*.f64 307332350656623/625000000000000 (/.f64 y z))))) (+.f64 (*.f64 72546523146905574025723165383/312500000000000000000000000000 (/.f64 y (pow.f64 z 2))) (+.f64 (*.f64 4166096748901211929300981260567/10000000000000000000000000000000 (/.f64 y z)) (*.f64 6012459259764103/1000000000000000 (/.f64 (-.f64 (*.f64 307332350656623/625000000000000 y) (*.f64 4166096748901211929300981260567/10000000000000000000000000000000 y)) (pow.f64 z 2))))))>
#<alt (*.f64 692910599291889/10000000000000000 y)>
#<alt (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -307332350656623/625000000000000 y) (*.f64 -4166096748901211929300981260567/10000000000000000000000000000000 y)) z)) (*.f64 692910599291889/10000000000000000 y))>
#<alt (+.f64 (*.f64 -1 (/.f64 (-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 11167812716741/40000000000000 y) (+.f64 (*.f64 -6012459259764103/1000000000000000 (-.f64 (*.f64 -307332350656623/625000000000000 y) (*.f64 -4166096748901211929300981260567/10000000000000000000000000000000 y))) (*.f64 72546523146905574025723165383/312500000000000000000000000000 y))) z)) (*.f64 -307332350656623/625000000000000 y)) (*.f64 -4166096748901211929300981260567/10000000000000000000000000000000 y)) z)) (*.f64 692910599291889/10000000000000000 y))>
#<alt (+.f64 (*.f64 -1 (/.f64 (-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 (+.f64 (*.f64 -6012459259764103/1000000000000000 (/.f64 (-.f64 (*.f64 11167812716741/40000000000000 y) (+.f64 (*.f64 -6012459259764103/1000000000000000 (-.f64 (*.f64 -307332350656623/625000000000000 y) (*.f64 -4166096748901211929300981260567/10000000000000000000000000000000 y))) (*.f64 72546523146905574025723165383/312500000000000000000000000000 y))) z)) (+.f64 (*.f64 11167812716741/40000000000000 y) (*.f64 104698244219447/31250000000000 (/.f64 (-.f64 (*.f64 -307332350656623/625000000000000 y) (*.f64 -4166096748901211929300981260567/10000000000000000000000000000000 y)) z)))) (+.f64 (*.f64 -6012459259764103/1000000000000000 (-.f64 (*.f64 -307332350656623/625000000000000 y) (*.f64 -4166096748901211929300981260567/10000000000000000000000000000000 y))) (*.f64 72546523146905574025723165383/312500000000000000000000000000 y))) z)) (*.f64 -307332350656623/625000000000000 y)) (*.f64 -4166096748901211929300981260567/10000000000000000000000000000000 y)) z)) (*.f64 692910599291889/10000000000000000 y))>
#<alt 307332350656623/625000000000000>
#<alt (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z))>
#<alt (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z))>
#<alt (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z))>
#<alt (*.f64 692910599291889/10000000000000000 z)>
#<alt (*.f64 z (+.f64 692910599291889/10000000000000000 (*.f64 307332350656623/625000000000000 (/.f64 1 z))))>
#<alt (*.f64 z (+.f64 692910599291889/10000000000000000 (*.f64 307332350656623/625000000000000 (/.f64 1 z))))>
#<alt (*.f64 z (+.f64 692910599291889/10000000000000000 (*.f64 307332350656623/625000000000000 (/.f64 1 z))))>
#<alt (*.f64 692910599291889/10000000000000000 z)>
#<alt (*.f64 z (+.f64 692910599291889/10000000000000000 (*.f64 307332350656623/625000000000000 (/.f64 1 z))))>
#<alt (*.f64 z (+.f64 692910599291889/10000000000000000 (*.f64 307332350656623/625000000000000 (/.f64 1 z))))>
#<alt (*.f64 z (+.f64 692910599291889/10000000000000000 (*.f64 307332350656623/625000000000000 (/.f64 1 z))))>
#<alt 11167812716741/40000000000000>
#<alt (+.f64 11167812716741/40000000000000 (*.f64 307332350656623/625000000000000 z))>
#<alt (+.f64 11167812716741/40000000000000 (*.f64 z (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z))))>
#<alt (+.f64 11167812716741/40000000000000 (*.f64 z (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z))))>
#<alt (*.f64 692910599291889/10000000000000000 (pow.f64 z 2))>
#<alt (*.f64 (pow.f64 z 2) (+.f64 692910599291889/10000000000000000 (*.f64 307332350656623/625000000000000 (/.f64 1 z))))>
#<alt (*.f64 (pow.f64 z 2) (+.f64 692910599291889/10000000000000000 (+.f64 (/.f64 11167812716741/40000000000000 (pow.f64 z 2)) (*.f64 307332350656623/625000000000000 (/.f64 1 z)))))>
#<alt (*.f64 (pow.f64 z 2) (+.f64 692910599291889/10000000000000000 (+.f64 (/.f64 11167812716741/40000000000000 (pow.f64 z 2)) (*.f64 307332350656623/625000000000000 (/.f64 1 z)))))>
#<alt (*.f64 692910599291889/10000000000000000 (pow.f64 z 2))>
#<alt (*.f64 (pow.f64 z 2) (+.f64 692910599291889/10000000000000000 (*.f64 307332350656623/625000000000000 (/.f64 1 z))))>
#<alt (*.f64 (pow.f64 z 2) (+.f64 692910599291889/10000000000000000 (+.f64 (/.f64 11167812716741/40000000000000 (pow.f64 z 2)) (*.f64 307332350656623/625000000000000 (/.f64 1 z)))))>
#<alt (*.f64 (pow.f64 z 2) (+.f64 692910599291889/10000000000000000 (+.f64 (/.f64 11167812716741/40000000000000 (pow.f64 z 2)) (*.f64 307332350656623/625000000000000 (/.f64 1 z)))))>
#<alt (/.f64 (*.f64 y (+.f64 11167812716741/40000000000000 (*.f64 z (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z))))) (+.f64 104698244219447/31250000000000 (*.f64 z (+.f64 6012459259764103/1000000000000000 z))))>
#<alt (/.f64 (*.f64 y (+.f64 11167812716741/40000000000000 (*.f64 z (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z))))) (+.f64 104698244219447/31250000000000 (*.f64 z (+.f64 6012459259764103/1000000000000000 z))))>
#<alt (/.f64 (*.f64 y (+.f64 11167812716741/40000000000000 (*.f64 z (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z))))) (+.f64 104698244219447/31250000000000 (*.f64 z (+.f64 6012459259764103/1000000000000000 z))))>
#<alt (/.f64 (*.f64 y (+.f64 11167812716741/40000000000000 (*.f64 z (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z))))) (+.f64 104698244219447/31250000000000 (*.f64 z (+.f64 6012459259764103/1000000000000000 z))))>
#<alt (/.f64 (*.f64 y (+.f64 11167812716741/40000000000000 (*.f64 z (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z))))) (+.f64 104698244219447/31250000000000 (*.f64 z (+.f64 6012459259764103/1000000000000000 z))))>
#<alt (/.f64 (*.f64 y (+.f64 11167812716741/40000000000000 (*.f64 z (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z))))) (+.f64 104698244219447/31250000000000 (*.f64 z (+.f64 6012459259764103/1000000000000000 z))))>
#<alt (/.f64 (*.f64 y (+.f64 11167812716741/40000000000000 (*.f64 z (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z))))) (+.f64 104698244219447/31250000000000 (*.f64 z (+.f64 6012459259764103/1000000000000000 z))))>
#<alt (/.f64 (*.f64 y (+.f64 11167812716741/40000000000000 (*.f64 z (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z))))) (+.f64 104698244219447/31250000000000 (*.f64 z (+.f64 6012459259764103/1000000000000000 z))))>
#<alt (/.f64 (*.f64 y (+.f64 11167812716741/40000000000000 (*.f64 z (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z))))) (+.f64 104698244219447/31250000000000 (*.f64 z (+.f64 6012459259764103/1000000000000000 z))))>
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#<alt (*.f64 y (+.f64 (*.f64 11167812716741/40000000000000 (/.f64 1 (+.f64 104698244219447/31250000000000 (*.f64 z (+.f64 6012459259764103/1000000000000000 z))))) (+.f64 (/.f64 x y) (/.f64 (*.f64 z (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z))) (+.f64 104698244219447/31250000000000 (*.f64 z (+.f64 6012459259764103/1000000000000000 z)))))))>
#<alt (/.f64 (*.f64 y (+.f64 11167812716741/40000000000000 (*.f64 z (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z))))) (+.f64 104698244219447/31250000000000 (*.f64 z (+.f64 6012459259764103/1000000000000000 z))))>
#<alt (*.f64 -1 (*.f64 y (+.f64 (*.f64 -1 (/.f64 x y)) (*.f64 -1 (/.f64 (+.f64 11167812716741/40000000000000 (*.f64 z (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z)))) (+.f64 104698244219447/31250000000000 (*.f64 z (+.f64 6012459259764103/1000000000000000 z))))))))>
#<alt (*.f64 -1 (*.f64 y (+.f64 (*.f64 -1 (/.f64 x y)) (*.f64 -1 (/.f64 (+.f64 11167812716741/40000000000000 (*.f64 z (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z)))) (+.f64 104698244219447/31250000000000 (*.f64 z (+.f64 6012459259764103/1000000000000000 z))))))))>
#<alt (*.f64 -1 (*.f64 y (+.f64 (*.f64 -1 (/.f64 x y)) (*.f64 -1 (/.f64 (+.f64 11167812716741/40000000000000 (*.f64 z (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z)))) (+.f64 104698244219447/31250000000000 (*.f64 z (+.f64 6012459259764103/1000000000000000 z))))))))>
#<alt (/.f64 (*.f64 y (+.f64 11167812716741/40000000000000 (*.f64 z (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z))))) (+.f64 104698244219447/31250000000000 (*.f64 z (+.f64 6012459259764103/1000000000000000 z))))>
#<alt (+.f64 x (/.f64 (*.f64 y (+.f64 11167812716741/40000000000000 (*.f64 z (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z))))) (+.f64 104698244219447/31250000000000 (*.f64 z (+.f64 6012459259764103/1000000000000000 z)))))>
#<alt (+.f64 x (/.f64 (*.f64 y (+.f64 11167812716741/40000000000000 (*.f64 z (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z))))) (+.f64 104698244219447/31250000000000 (*.f64 z (+.f64 6012459259764103/1000000000000000 z)))))>
#<alt (+.f64 x (/.f64 (*.f64 y (+.f64 11167812716741/40000000000000 (*.f64 z (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z))))) (+.f64 104698244219447/31250000000000 (*.f64 z (+.f64 6012459259764103/1000000000000000 z)))))>
#<alt x>
#<alt (*.f64 x (+.f64 1 (/.f64 (*.f64 y (+.f64 11167812716741/40000000000000 (*.f64 z (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z))))) (*.f64 x (+.f64 104698244219447/31250000000000 (*.f64 z (+.f64 6012459259764103/1000000000000000 z)))))))>
#<alt (*.f64 x (+.f64 1 (/.f64 (*.f64 y (+.f64 11167812716741/40000000000000 (*.f64 z (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z))))) (*.f64 x (+.f64 104698244219447/31250000000000 (*.f64 z (+.f64 6012459259764103/1000000000000000 z)))))))>
#<alt (*.f64 x (+.f64 1 (/.f64 (*.f64 y (+.f64 11167812716741/40000000000000 (*.f64 z (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z))))) (*.f64 x (+.f64 104698244219447/31250000000000 (*.f64 z (+.f64 6012459259764103/1000000000000000 z)))))))>
#<alt x>
#<alt (*.f64 -1 (*.f64 x (-.f64 (*.f64 -1 (/.f64 (*.f64 y (+.f64 11167812716741/40000000000000 (*.f64 z (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z))))) (*.f64 x (+.f64 104698244219447/31250000000000 (*.f64 z (+.f64 6012459259764103/1000000000000000 z)))))) 1)))>
#<alt (*.f64 -1 (*.f64 x (-.f64 (*.f64 -1 (/.f64 (*.f64 y (+.f64 11167812716741/40000000000000 (*.f64 z (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z))))) (*.f64 x (+.f64 104698244219447/31250000000000 (*.f64 z (+.f64 6012459259764103/1000000000000000 z)))))) 1)))>
#<alt (*.f64 -1 (*.f64 x (-.f64 (*.f64 -1 (/.f64 (*.f64 y (+.f64 11167812716741/40000000000000 (*.f64 z (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z))))) (*.f64 x (+.f64 104698244219447/31250000000000 (*.f64 z (+.f64 6012459259764103/1000000000000000 z)))))) 1)))>
#<alt (/.f64 y (+.f64 104698244219447/31250000000000 (*.f64 z (+.f64 6012459259764103/1000000000000000 z))))>
#<alt (/.f64 y (+.f64 104698244219447/31250000000000 (*.f64 z (+.f64 6012459259764103/1000000000000000 z))))>
#<alt (/.f64 y (+.f64 104698244219447/31250000000000 (*.f64 z (+.f64 6012459259764103/1000000000000000 z))))>
#<alt (/.f64 y (+.f64 104698244219447/31250000000000 (*.f64 z (+.f64 6012459259764103/1000000000000000 z))))>
#<alt (/.f64 y (+.f64 104698244219447/31250000000000 (*.f64 z (+.f64 6012459259764103/1000000000000000 z))))>
#<alt (/.f64 y (+.f64 104698244219447/31250000000000 (*.f64 z (+.f64 6012459259764103/1000000000000000 z))))>
#<alt (/.f64 y (+.f64 104698244219447/31250000000000 (*.f64 z (+.f64 6012459259764103/1000000000000000 z))))>
#<alt (/.f64 y (+.f64 104698244219447/31250000000000 (*.f64 z (+.f64 6012459259764103/1000000000000000 z))))>
#<alt (/.f64 y (+.f64 104698244219447/31250000000000 (*.f64 z (+.f64 6012459259764103/1000000000000000 z))))>
#<alt (/.f64 y (+.f64 104698244219447/31250000000000 (*.f64 z (+.f64 6012459259764103/1000000000000000 z))))>
#<alt (/.f64 y (+.f64 104698244219447/31250000000000 (*.f64 z (+.f64 6012459259764103/1000000000000000 z))))>
#<alt (/.f64 y (+.f64 104698244219447/31250000000000 (*.f64 z (+.f64 6012459259764103/1000000000000000 z))))>
#<alt (*.f64 31250000000000/104698244219447 y)>
#<alt (+.f64 (*.f64 -5871542245863381835937500000/10961722342634967150292985809 (*.f64 y z)) (*.f64 31250000000000/104698244219447 y))>
#<alt (+.f64 (*.f64 31250000000000/104698244219447 y) (*.f64 z (-.f64 (*.f64 -1 (*.f64 z (+.f64 (*.f64 -1103200267038668987913305889728057861328125/1147673082894964476557575335949564252827623 y) (*.f64 976562500000000000000000000/10961722342634967150292985809 y)))) (*.f64 5871542245863381835937500000/10961722342634967150292985809 y))))>
#<alt (+.f64 (*.f64 31250000000000/104698244219447 y) (*.f64 z (-.f64 (*.f64 z (-.f64 (*.f64 -1 (*.f64 z (+.f64 (*.f64 -6012459259764103/3350343815022304 (+.f64 (*.f64 -1103200267038668987913305889728057861328125/1147673082894964476557575335949564252827623 y) (*.f64 976562500000000000000000000/10961722342634967150292985809 y))) (*.f64 -183485695183230682373046875000000000000000/1147673082894964476557575335949564252827623 y)))) (+.f64 (*.f64 -1103200267038668987913305889728057861328125/1147673082894964476557575335949564252827623 y) (*.f64 976562500000000000000000000/10961722342634967150292985809 y)))) (*.f64 5871542245863381835937500000/10961722342634967150292985809 y))))>
#<alt (/.f64 y (pow.f64 z 2))>
#<alt (/.f64 (+.f64 y (*.f64 -6012459259764103/1000000000000000 (/.f64 y z))) (pow.f64 z 2))>
#<alt (/.f64 (-.f64 (+.f64 y (*.f64 -1 (/.f64 (+.f64 (*.f64 -36149666350323105395943207394609/1000000000000000000000000000000 y) (*.f64 104698244219447/31250000000000 y)) (pow.f64 z 2)))) (*.f64 6012459259764103/1000000000000000 (/.f64 y z))) (pow.f64 z 2))>
#<alt (/.f64 (-.f64 (+.f64 y (*.f64 -1 (/.f64 (+.f64 (*.f64 -629493927938257585512585111041/31250000000000000000000000000 y) (*.f64 -6012459259764103/1000000000000000 (+.f64 (*.f64 -36149666350323105395943207394609/1000000000000000000000000000000 y) (*.f64 104698244219447/31250000000000 y)))) (pow.f64 z 3)))) (+.f64 (*.f64 -36149666350323105395943207394609/1000000000000000000000000000000 (/.f64 y (pow.f64 z 2))) (+.f64 (*.f64 104698244219447/31250000000000 (/.f64 y (pow.f64 z 2))) (*.f64 6012459259764103/1000000000000000 (/.f64 y z))))) (pow.f64 z 2))>
#<alt (/.f64 y (pow.f64 z 2))>
#<alt (/.f64 (+.f64 y (*.f64 -6012459259764103/1000000000000000 (/.f64 y z))) (pow.f64 z 2))>
#<alt (/.f64 (+.f64 y (*.f64 -1 (/.f64 (-.f64 (+.f64 (*.f64 -36149666350323105395943207394609/1000000000000000000000000000000 (/.f64 y z)) (*.f64 104698244219447/31250000000000 (/.f64 y z))) (*.f64 -6012459259764103/1000000000000000 y)) z))) (pow.f64 z 2))>
#<alt (/.f64 (+.f64 y (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 (-.f64 (+.f64 (*.f64 6012459259764103/1000000000000000 (/.f64 (+.f64 (*.f64 -36149666350323105395943207394609/1000000000000000000000000000000 y) (*.f64 104698244219447/31250000000000 y)) z)) (*.f64 629493927938257585512585111041/31250000000000000000000000000 (/.f64 y z))) (+.f64 (*.f64 -36149666350323105395943207394609/1000000000000000000000000000000 y) (*.f64 104698244219447/31250000000000 y))) z)) (*.f64 -6012459259764103/1000000000000000 y)) z))) (pow.f64 z 2))>
#<alt 307332350656623/625000000000000>
#<alt (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z))>
#<alt (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z))>
#<alt (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z))>
#<alt (*.f64 692910599291889/10000000000000000 z)>
#<alt (*.f64 z (+.f64 692910599291889/10000000000000000 (*.f64 307332350656623/625000000000000 (/.f64 1 z))))>
#<alt (*.f64 z (+.f64 692910599291889/10000000000000000 (*.f64 307332350656623/625000000000000 (/.f64 1 z))))>
#<alt (*.f64 z (+.f64 692910599291889/10000000000000000 (*.f64 307332350656623/625000000000000 (/.f64 1 z))))>
#<alt (*.f64 692910599291889/10000000000000000 z)>
#<alt (*.f64 z (+.f64 692910599291889/10000000000000000 (*.f64 307332350656623/625000000000000 (/.f64 1 z))))>
#<alt (*.f64 z (+.f64 692910599291889/10000000000000000 (*.f64 307332350656623/625000000000000 (/.f64 1 z))))>
#<alt (*.f64 z (+.f64 692910599291889/10000000000000000 (*.f64 307332350656623/625000000000000 (/.f64 1 z))))>
#<alt 11167812716741/40000000000000>
#<alt (+.f64 11167812716741/40000000000000 (*.f64 307332350656623/625000000000000 z))>
#<alt (+.f64 11167812716741/40000000000000 (*.f64 z (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z))))>
#<alt (+.f64 11167812716741/40000000000000 (*.f64 z (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z))))>
#<alt (*.f64 692910599291889/10000000000000000 (pow.f64 z 2))>
#<alt (*.f64 (pow.f64 z 2) (+.f64 692910599291889/10000000000000000 (*.f64 307332350656623/625000000000000 (/.f64 1 z))))>
#<alt (*.f64 (pow.f64 z 2) (+.f64 692910599291889/10000000000000000 (+.f64 (/.f64 11167812716741/40000000000000 (pow.f64 z 2)) (*.f64 307332350656623/625000000000000 (/.f64 1 z)))))>
#<alt (*.f64 (pow.f64 z 2) (+.f64 692910599291889/10000000000000000 (+.f64 (/.f64 11167812716741/40000000000000 (pow.f64 z 2)) (*.f64 307332350656623/625000000000000 (/.f64 1 z)))))>
#<alt (*.f64 692910599291889/10000000000000000 (pow.f64 z 2))>
#<alt (*.f64 (pow.f64 z 2) (+.f64 692910599291889/10000000000000000 (*.f64 307332350656623/625000000000000 (/.f64 1 z))))>
#<alt (*.f64 (pow.f64 z 2) (+.f64 692910599291889/10000000000000000 (+.f64 (/.f64 11167812716741/40000000000000 (pow.f64 z 2)) (*.f64 307332350656623/625000000000000 (/.f64 1 z)))))>
#<alt (*.f64 (pow.f64 z 2) (+.f64 692910599291889/10000000000000000 (+.f64 (/.f64 11167812716741/40000000000000 (pow.f64 z 2)) (*.f64 307332350656623/625000000000000 (/.f64 1 z)))))>
Calls

54 calls:

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

rewrite378.0ms (2.9%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
033389
1512389
25817389
Stop Event
node limit
Counts
12 → 385
Calls
Call 1
Inputs
(/.f64 (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000) (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000))
(*.f64 y (/.f64 (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000) (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000)))
(fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)
(fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000)
(/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000))
(*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000))
(*.f64 z 692910599291889/10000000000000000)
(*.f64 (+.f64 z 6012459259764103/1000000000000000) z)
(fma.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) x)
(/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))
(fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)
(fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)
Outputs
(-.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))) 1)
(*.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 1 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))
(*.f64 1 (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))
(*.f64 (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) 1)
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)) 2) (/.f64 (cbrt.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)) 2) (*.f64 (cbrt.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)) (/.f64 1 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))))
(*.f64 (cbrt.f64 (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) 2) (cbrt.f64 (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))))
(*.f64 (sqrt.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)) (/.f64 (sqrt.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))
(*.f64 (sqrt.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)) (*.f64 (sqrt.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)) (/.f64 1 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))))
(*.f64 (sqrt.f64 (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) (sqrt.f64 (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))))
(*.f64 (neg.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)) (/.f64 1 (neg.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))))
(*.f64 (/.f64 1 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000))
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simplify387.0ms (2.9%)

Algorithm
egg-herbie
Rules
1356×associate-*r*
1326×associate-*l*
934×fma-define
576×distribute-rgt-in
554×distribute-lft-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
095829268
1245528221
Stop Event
node limit
Counts
601 → 562
Calls
Call 1
Inputs
279195317918525/3350343815022304
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692910599291889/10000000000000000
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692910599291889/10000000000000000
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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 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)))))
(/.f64 (+.f64 (pow.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 3) 1392850058529705972970166011484436857021/64000000000000000000000000000000000000000) (+.f64 124720040876201995101661081/1600000000000000000000000000 (-.f64 (pow.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 2) (*.f64 z (*.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)))))
(/.f64 (+.f64 (pow.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 2) -124720040876201995101661081/1600000000000000000000000000) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) -11167812716741/40000000000000))
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(/.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)))
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(pow.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) 1)
(pow.f64 (cbrt.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)) 3)
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(pow.f64 (sqrt.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)) 2)
(sqrt.f64 (pow.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) 2))
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(log1p.f64 (expm1.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)))
(exp.f64 (log.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)))
(exp.f64 (*.f64 (log.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)) 1))
Outputs
279195317918525/3350343815022304
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(fma.f64 -155900051080628738716045985239/56124018394291031809500087342080 z 279195317918525/3350343815022304)
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(+.f64 279195317918525/3350343815022304 (*.f64 z (fma.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 z -155900051080628738716045985239/56124018394291031809500087342080)))
(fma.f64 z (fma.f64 z 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 -155900051080628738716045985239/56124018394291031809500087342080) 279195317918525/3350343815022304)
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692910599291889/10000000000000000
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692910599291889/10000000000000000
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(/.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 11167812716741/40000000000000 (*.f64 z (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 z (*.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)))))
(/.f64 (+.f64 (pow.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 3) 1392850058529705972970166011484436857021/64000000000000000000000000000000000000000) (+.f64 124720040876201995101661081/1600000000000000000000000000 (-.f64 (pow.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 2) (*.f64 z (*.f64 11167812716741/40000000000000 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000))))))
(/.f64 (+.f64 (pow.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 3) 1392850058529705972970166011484436857021/64000000000000000000000000000000000000000) (+.f64 124720040876201995101661081/1600000000000000000000000000 (*.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) (-.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 11167812716741/40000000000000))))
(/.f64 (+.f64 (pow.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 2) -124720040876201995101661081/1600000000000000000000000000) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) -11167812716741/40000000000000))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 3) 1392850058529705972970166011484436857021/64000000000000000000000000000000000000000)) (neg.f64 (+.f64 (pow.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 2) (-.f64 124720040876201995101661081/1600000000000000000000000000 (*.f64 z (*.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000))))))
(/.f64 (+.f64 (pow.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 3) 1392850058529705972970166011484436857021/64000000000000000000000000000000000000000) (+.f64 (pow.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 2) (-.f64 124720040876201995101661081/1600000000000000000000000000 (*.f64 z (*.f64 11167812716741/40000000000000 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000))))))
(/.f64 (+.f64 (pow.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 3) 1392850058529705972970166011484436857021/64000000000000000000000000000000000000000) (+.f64 (pow.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 2) (-.f64 124720040876201995101661081/1600000000000000000000000000 (*.f64 11167812716741/40000000000000 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 2) -124720040876201995101661081/1600000000000000000000000000)) (neg.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) -11167812716741/40000000000000)))
(/.f64 (+.f64 (pow.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 2) -124720040876201995101661081/1600000000000000000000000000) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) -11167812716741/40000000000000))
(/.f64 (-.f64 124720040876201995101661081/1600000000000000000000000000 (pow.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 2)) (-.f64 11167812716741/40000000000000 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000))))
(pow.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) 1)
(fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)
(pow.f64 (cbrt.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)) 3)
(fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)
(pow.f64 (pow.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) 3) 1/3)
(fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)
(pow.f64 (sqrt.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)) 2)
(fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)
(sqrt.f64 (pow.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) 2))
(fabs.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000))
(log.f64 (exp.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)))
(fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000))))
(fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)
(cbrt.f64 (pow.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) 3))
(fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)
(expm1.f64 (log1p.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)))
(log1p.f64 (expm1.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)))
(fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)
(exp.f64 (log.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)))
(fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)
(exp.f64 (*.f64 (log.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)) 1))
(fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)

eval370.0ms (2.8%)

Compiler

Compiled 16013 to 11349 computations (29.1% saved)

prune136.0ms (1%)

Pruning

22 alts after pruning (21 fresh and 1 done)

PrunedKeptTotal
New59121612
Fresh000
Picked213
Done000
Total59322615
Accuracy
99.9%
Counts
615 → 22
Alt Table
Click to see full alt table
StatusAccuracyProgram
70.6%
(fma.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 y (+.f64 104698244219447/31250000000000 (*.f64 z (+.f64 6012459259764103/1000000000000000 z)))) x)
69.5%
(fma.f64 (fma.f64 z (*.f64 z 692910599291889/10000000000000000) 11167812716741/40000000000000) (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) x)
75.0%
(fma.f64 (fma.f64 z 307332350656623/625000000000000 11167812716741/40000000000000) (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) x)
79.3%
(+.f64 (*.f64 279195317918525/3350343815022304 y) x)
84.3%
(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
70.6%
(+.f64 x (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) y)))
61.7%
(+.f64 x (/.f64 (/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 2) -124720040876201995101661081/1600000000000000000000000000) y) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) -11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
68.9%
(+.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)))
45.3%
(+.f64 x (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (exp.f64 (log.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)))) 104698244219447/31250000000000)))
65.3%
(+.f64 x (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (sqrt.f64 (*.f64 (pow.f64 z 2) 480125098611044764748221188321/100000000000000000000000000000000)) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
68.9%
(+.f64 x (/.f64 1 (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) (*.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) y))))
63.3%
(+.f64 x (+.f64 (*.f64 279195317918525/3350343815022304 y) (*.f64 z (-.f64 (*.f64 307332350656623/2093964884388940 y) (*.f64 1678650474502018223880473708075/11224803678858206361900017468416 y)))))
60.4%
(+.f64 x (*.f64 (/.f64 (*.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) y) (+.f64 (pow.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)) 3) 1147673082894964476557575335949564252827623/30517578125000000000000000000000000000000)) (+.f64 (pow.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)) 2) (-.f64 10961722342634967150292985809/976562500000000000000000000 (*.f64 z (*.f64 (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))))))
72.9%
(+.f64 x (*.f64 y (/.f64 (fma.f64 (/.f64 (-.f64 94453173760125479739253764129/390625000000000000000000000000 (*.f64 (pow.f64 z 2) 480125098611044764748221188321/100000000000000000000000000000000)) (-.f64 307332350656623/625000000000000 (*.f64 z 692910599291889/10000000000000000))) z 11167812716741/40000000000000) (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000))))
58.8%
(+.f64 x (*.f64 y (-.f64 692910599291889/10000000000000000 (/.f64 (+.f64 (/.f64 4046220386999211718548694042263781576003973599/10000000000000000000000000000000000000000000000 z) -751220861604756070699018739433/10000000000000000000000000000000) z))))
57.7%
(+.f64 x (*.f64 y (+.f64 279195317918525/3350343815022304 (*.f64 z (-.f64 (*.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 z) 155900051080628738716045985239/56124018394291031809500087342080)))))
63.3%
(+.f64 x (*.f64 y (+.f64 279195317918525/3350343815022304 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z))))
67.0%
(+.f64 x (*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))))
56.1%
(+.f64 x (*.f64 y (+.f64 692910599291889/10000000000000000 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 21810887065466482153109263568915904549915271947668467379916697/10000000000000000000000000000000000000000000000000000000000000 (/.f64 1 z)) 4046220386999211718548694042263781576003973599/10000000000000000000000000000000000000000000000) z)) 751220861604756070699018739433/10000000000000000000000000000000) z)))))
66.7%
(*.f64 x (fma.f64 (/.f64 y x) (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) 1))
65.1%
(*.f64 -1 (*.f64 y (+.f64 (*.f64 -1 (/.f64 x y)) (*.f64 -1 (/.f64 (+.f64 11167812716741/40000000000000 (*.f64 z (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z)))) (+.f64 104698244219447/31250000000000 (*.f64 z (+.f64 6012459259764103/1000000000000000 z))))))))
56.9%
x
Compiler

Compiled 894 to 670 computations (25.1% saved)

localize544.0ms (4.1%)

Localize:

Found 14 expressions with local error:

NewAccuracyProgram
99.6%
(fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)
99.6%
(/.f64 1 (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) (*.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) y)))
93.6%
(*.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) y)
69.6%
(/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) (*.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) y))
99.5%
(*.f64 (pow.f64 z 2) 480125098611044764748221188321/100000000000000000000000000000000)
93.6%
(*.f64 y (+.f64 (*.f64 (+.f64 (sqrt.f64 (*.f64 (pow.f64 z 2) 480125098611044764748221188321/100000000000000000000000000000000)) 307332350656623/625000000000000) z) 11167812716741/40000000000000))
69.7%
(/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (sqrt.f64 (*.f64 (pow.f64 z 2) 480125098611044764748221188321/100000000000000000000000000000000)) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000))
51.4%
(sqrt.f64 (*.f64 (pow.f64 z 2) 480125098611044764748221188321/100000000000000000000000000000000))
100.0%
(-.f64 692910599291889/10000000000000000 (/.f64 (+.f64 (/.f64 4046220386999211718548694042263781576003973599/10000000000000000000000000000000000000000000000 z) -751220861604756070699018739433/10000000000000000000000000000000) z))
99.7%
(/.f64 (+.f64 (/.f64 4046220386999211718548694042263781576003973599/10000000000000000000000000000000000000000000000 z) -751220861604756070699018739433/10000000000000000000000000000000) z)
99.5%
(/.f64 4046220386999211718548694042263781576003973599/10000000000000000000000000000000000000000000000 z)
91.1%
(*.f64 y (-.f64 692910599291889/10000000000000000 (/.f64 (+.f64 (/.f64 4046220386999211718548694042263781576003973599/10000000000000000000000000000000000000000000000 z) -751220861604756070699018739433/10000000000000000000000000000000) z)))
100.0%
(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
99.2%
(*.f64 692910599291889/10000000000000000 y)
Compiler

Compiled 290 to 210 computations (27.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 329.0ms
Operation ival-mult, time spent: 92.0ms, 28.0% of total-time
Operation ival-add, time spent: 80.0ms, 24.0% of total-time
Operation composed, time spent: 58.0ms, 18.0% of total-time
Operation ival-div, time spent: 35.0ms, 11.0% of total-time
Operation ival-sqrt, time spent: 30.0ms, 9.0% of total-time
Operation ival-pow, time spent: 17.0ms, 5.0% of total-time
Operation const, time spent: 13.0ms, 4.0% of total-time
Operation ival-sub, time spent: 4.0ms, 1.0% of total-time

series39.0ms (0.3%)

Counts
13 → 216
Calls
Call 1
Inputs
#<alt (*.f64 692910599291889/10000000000000000 y)>
#<alt (+.f64 (*.f64 692910599291889/10000000000000000 y) x)>
#<alt (*.f64 y (-.f64 692910599291889/10000000000000000 (/.f64 (+.f64 (/.f64 4046220386999211718548694042263781576003973599/10000000000000000000000000000000000000000000000 z) -751220861604756070699018739433/10000000000000000000000000000000) z)))>
#<alt (/.f64 4046220386999211718548694042263781576003973599/10000000000000000000000000000000000000000000000 z)>
#<alt (/.f64 (+.f64 (/.f64 4046220386999211718548694042263781576003973599/10000000000000000000000000000000000000000000000 z) -751220861604756070699018739433/10000000000000000000000000000000) z)>
#<alt (-.f64 692910599291889/10000000000000000 (/.f64 (+.f64 (/.f64 4046220386999211718548694042263781576003973599/10000000000000000000000000000000000000000000000 z) -751220861604756070699018739433/10000000000000000000000000000000) z))>
#<alt (sqrt.f64 (*.f64 (pow.f64 z 2) 480125098611044764748221188321/100000000000000000000000000000000))>
#<alt (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (sqrt.f64 (*.f64 (pow.f64 z 2) 480125098611044764748221188321/100000000000000000000000000000000)) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000))>
#<alt (*.f64 y (+.f64 (*.f64 (+.f64 (sqrt.f64 (*.f64 (pow.f64 z 2) 480125098611044764748221188321/100000000000000000000000000000000)) 307332350656623/625000000000000) z) 11167812716741/40000000000000))>
#<alt (*.f64 (pow.f64 z 2) 480125098611044764748221188321/100000000000000000000000000000000)>
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#<alt (*.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) y)>
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Outputs
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#<alt (+.f64 x (*.f64 692910599291889/10000000000000000 y))>
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#<alt (-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 104698244219447/31250000000000 (-.f64 (*.f64 307332350656623/625000000000000 y) (*.f64 4166096748901211929300981260567/10000000000000000000000000000000 y))) (*.f64 6012459259764103/1000000000000000 (-.f64 (*.f64 11167812716741/40000000000000 y) (+.f64 (*.f64 72546523146905574025723165383/312500000000000000000000000000 y) (*.f64 6012459259764103/1000000000000000 (-.f64 (*.f64 307332350656623/625000000000000 y) (*.f64 4166096748901211929300981260567/10000000000000000000000000000000 y))))))) (pow.f64 z 3))) (+.f64 (*.f64 692910599291889/10000000000000000 y) (+.f64 (*.f64 11167812716741/40000000000000 (/.f64 y (pow.f64 z 2))) (*.f64 307332350656623/625000000000000 (/.f64 y z))))) (+.f64 (*.f64 72546523146905574025723165383/312500000000000000000000000000 (/.f64 y (pow.f64 z 2))) (+.f64 (*.f64 4166096748901211929300981260567/10000000000000000000000000000000 (/.f64 y z)) (*.f64 6012459259764103/1000000000000000 (/.f64 (-.f64 (*.f64 307332350656623/625000000000000 y) (*.f64 4166096748901211929300981260567/10000000000000000000000000000000 y)) (pow.f64 z 2))))))>
#<alt (*.f64 692910599291889/10000000000000000 y)>
#<alt (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -307332350656623/625000000000000 y) (*.f64 -4166096748901211929300981260567/10000000000000000000000000000000 y)) z)) (*.f64 692910599291889/10000000000000000 y))>
#<alt (+.f64 (*.f64 -1 (/.f64 (-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 11167812716741/40000000000000 y) (+.f64 (*.f64 -6012459259764103/1000000000000000 (-.f64 (*.f64 -307332350656623/625000000000000 y) (*.f64 -4166096748901211929300981260567/10000000000000000000000000000000 y))) (*.f64 72546523146905574025723165383/312500000000000000000000000000 y))) z)) (*.f64 -307332350656623/625000000000000 y)) (*.f64 -4166096748901211929300981260567/10000000000000000000000000000000 y)) z)) (*.f64 692910599291889/10000000000000000 y))>
#<alt (+.f64 (*.f64 -1 (/.f64 (-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 (+.f64 (*.f64 -6012459259764103/1000000000000000 (/.f64 (-.f64 (*.f64 11167812716741/40000000000000 y) (+.f64 (*.f64 -6012459259764103/1000000000000000 (-.f64 (*.f64 -307332350656623/625000000000000 y) (*.f64 -4166096748901211929300981260567/10000000000000000000000000000000 y))) (*.f64 72546523146905574025723165383/312500000000000000000000000000 y))) z)) (+.f64 (*.f64 11167812716741/40000000000000 y) (*.f64 104698244219447/31250000000000 (/.f64 (-.f64 (*.f64 -307332350656623/625000000000000 y) (*.f64 -4166096748901211929300981260567/10000000000000000000000000000000 y)) z)))) (+.f64 (*.f64 -6012459259764103/1000000000000000 (-.f64 (*.f64 -307332350656623/625000000000000 y) (*.f64 -4166096748901211929300981260567/10000000000000000000000000000000 y))) (*.f64 72546523146905574025723165383/312500000000000000000000000000 y))) z)) (*.f64 -307332350656623/625000000000000 y)) (*.f64 -4166096748901211929300981260567/10000000000000000000000000000000 y)) z)) (*.f64 692910599291889/10000000000000000 y))>
#<alt (/.f64 (*.f64 y (+.f64 11167812716741/40000000000000 (*.f64 z (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z))))) (+.f64 104698244219447/31250000000000 (*.f64 z (+.f64 6012459259764103/1000000000000000 z))))>
#<alt (/.f64 (*.f64 y (+.f64 11167812716741/40000000000000 (*.f64 z (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z))))) (+.f64 104698244219447/31250000000000 (*.f64 z (+.f64 6012459259764103/1000000000000000 z))))>
#<alt (/.f64 (*.f64 y (+.f64 11167812716741/40000000000000 (*.f64 z (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z))))) (+.f64 104698244219447/31250000000000 (*.f64 z (+.f64 6012459259764103/1000000000000000 z))))>
#<alt (/.f64 (*.f64 y (+.f64 11167812716741/40000000000000 (*.f64 z (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z))))) (+.f64 104698244219447/31250000000000 (*.f64 z (+.f64 6012459259764103/1000000000000000 z))))>
#<alt (/.f64 (*.f64 y (+.f64 11167812716741/40000000000000 (*.f64 z (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z))))) (+.f64 104698244219447/31250000000000 (*.f64 z (+.f64 6012459259764103/1000000000000000 z))))>
#<alt (/.f64 (*.f64 y (+.f64 11167812716741/40000000000000 (*.f64 z (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z))))) (+.f64 104698244219447/31250000000000 (*.f64 z (+.f64 6012459259764103/1000000000000000 z))))>
#<alt (/.f64 (*.f64 y (+.f64 11167812716741/40000000000000 (*.f64 z (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z))))) (+.f64 104698244219447/31250000000000 (*.f64 z (+.f64 6012459259764103/1000000000000000 z))))>
#<alt (/.f64 (*.f64 y (+.f64 11167812716741/40000000000000 (*.f64 z (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z))))) (+.f64 104698244219447/31250000000000 (*.f64 z (+.f64 6012459259764103/1000000000000000 z))))>
#<alt (/.f64 (*.f64 y (+.f64 11167812716741/40000000000000 (*.f64 z (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z))))) (+.f64 104698244219447/31250000000000 (*.f64 z (+.f64 6012459259764103/1000000000000000 z))))>
#<alt (/.f64 (*.f64 y (+.f64 11167812716741/40000000000000 (*.f64 z (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z))))) (+.f64 104698244219447/31250000000000 (*.f64 z (+.f64 6012459259764103/1000000000000000 z))))>
#<alt (/.f64 (*.f64 y (+.f64 11167812716741/40000000000000 (*.f64 z (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z))))) (+.f64 104698244219447/31250000000000 (*.f64 z (+.f64 6012459259764103/1000000000000000 z))))>
#<alt (/.f64 (*.f64 y (+.f64 11167812716741/40000000000000 (*.f64 z (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z))))) (+.f64 104698244219447/31250000000000 (*.f64 z (+.f64 6012459259764103/1000000000000000 z))))>
Calls

60 calls:

TimeVariablePointExpression
3.0ms
z
@inf
(* y (- 692910599291889/10000000000000000 (/ (+ (/ 4046220386999211718548694042263781576003973599/10000000000000000000000000000000000000000000000 z) -751220861604756070699018739433/10000000000000000000000000000000) z)))
3.0ms
z
@0
(/ 4046220386999211718548694042263781576003973599/10000000000000000000000000000000000000000000000 z)
2.0ms
y
@0
(* y (- 692910599291889/10000000000000000 (/ (+ (/ 4046220386999211718548694042263781576003973599/10000000000000000000000000000000000000000000000 z) -751220861604756070699018739433/10000000000000000000000000000000) z)))
1.0ms
z
@-inf
(/ (* y (+ (* (+ (sqrt (* (pow z 2) 480125098611044764748221188321/100000000000000000000000000000000)) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+ (* (+ z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000))
1.0ms
y
@0
(/ (+ (* z (+ z 6012459259764103/1000000000000000)) 104698244219447/31250000000000) (* (+ (* z (+ (* z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000) y))

rewrite267.0ms (2%)

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

Useful iterations: 1 (0.0ms)

IterNodesCost
045461
1706395
Stop Event
node limit
Counts
13 → 329
Calls
Call 1
Inputs
(*.f64 692910599291889/10000000000000000 y)
(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
(*.f64 y (-.f64 692910599291889/10000000000000000 (/.f64 (+.f64 (/.f64 4046220386999211718548694042263781576003973599/10000000000000000000000000000000000000000000000 z) -751220861604756070699018739433/10000000000000000000000000000000) z)))
(/.f64 4046220386999211718548694042263781576003973599/10000000000000000000000000000000000000000000000 z)
(/.f64 (+.f64 (/.f64 4046220386999211718548694042263781576003973599/10000000000000000000000000000000000000000000000 z) -751220861604756070699018739433/10000000000000000000000000000000) z)
(-.f64 692910599291889/10000000000000000 (/.f64 (+.f64 (/.f64 4046220386999211718548694042263781576003973599/10000000000000000000000000000000000000000000000 z) -751220861604756070699018739433/10000000000000000000000000000000) z))
(sqrt.f64 (*.f64 (pow.f64 z 2) 480125098611044764748221188321/100000000000000000000000000000000))
(/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (sqrt.f64 (*.f64 (pow.f64 z 2) 480125098611044764748221188321/100000000000000000000000000000000)) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000))
(*.f64 y (+.f64 (*.f64 (+.f64 (sqrt.f64 (*.f64 (pow.f64 z 2) 480125098611044764748221188321/100000000000000000000000000000000)) 307332350656623/625000000000000) z) 11167812716741/40000000000000))
(*.f64 (pow.f64 z 2) 480125098611044764748221188321/100000000000000000000000000000000)
(/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) (*.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) y))
(*.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) y)
(/.f64 1 (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) (*.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) y)))
Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 692910599291889/10000000000000000 y))) 1)
(pow.f64 (*.f64 692910599291889/10000000000000000 y) 1)
(pow.f64 (cbrt.f64 (*.f64 692910599291889/10000000000000000 y)) 3)
(pow.f64 (*.f64 (pow.f64 y 3) 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000) 1/3)
(pow.f64 (sqrt.f64 (*.f64 692910599291889/10000000000000000 y)) 2)
(sqrt.f64 (pow.f64 (*.f64 692910599291889/10000000000000000 y) 2))
(log.f64 (pow.f64 (exp.f64 y) 692910599291889/10000000000000000))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 692910599291889/10000000000000000 y))))
(cbrt.f64 (*.f64 (pow.f64 y 3) 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000))
(expm1.f64 (log1p.f64 (*.f64 692910599291889/10000000000000000 y)))
(log1p.f64 (expm1.f64 (*.f64 692910599291889/10000000000000000 y)))
(exp.f64 (log.f64 (*.f64 692910599291889/10000000000000000 y)))
(exp.f64 (*.f64 (log.f64 (*.f64 692910599291889/10000000000000000 y)) 1))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 692910599291889/10000000000000000 y x))) 1)
(-.f64 (/.f64 (pow.f64 (*.f64 692910599291889/10000000000000000 y) 2) (-.f64 (*.f64 692910599291889/10000000000000000 y) x)) (/.f64 (pow.f64 x 2) (-.f64 (*.f64 692910599291889/10000000000000000 y) x)))
(*.f64 1 (fma.f64 692910599291889/10000000000000000 y x))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 692910599291889/10000000000000000 y x)) 2) (cbrt.f64 (fma.f64 692910599291889/10000000000000000 y x)))
(*.f64 (sqrt.f64 (fma.f64 692910599291889/10000000000000000 y x)) (sqrt.f64 (fma.f64 692910599291889/10000000000000000 y x)))
(*.f64 (+.f64 (*.f64 (pow.f64 y 3) 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000) (pow.f64 x 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 692910599291889/10000000000000000 y) 2) (-.f64 (pow.f64 x 2) (*.f64 (*.f64 692910599291889/10000000000000000 y) x)))))
(*.f64 (-.f64 (pow.f64 (*.f64 692910599291889/10000000000000000 y) 2) (pow.f64 x 2)) (/.f64 1 (-.f64 (*.f64 692910599291889/10000000000000000 y) x)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 692910599291889/10000000000000000 y) 2) (-.f64 (pow.f64 x 2) (*.f64 (*.f64 692910599291889/10000000000000000 y) x))) (+.f64 (*.f64 (pow.f64 y 3) 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000) (pow.f64 x 3))))
(/.f64 1 (/.f64 (-.f64 (*.f64 692910599291889/10000000000000000 y) x) (-.f64 (pow.f64 (*.f64 692910599291889/10000000000000000 y) 2) (pow.f64 x 2))))
(/.f64 (+.f64 (*.f64 (pow.f64 y 3) 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000) (pow.f64 x 3)) (+.f64 (pow.f64 (*.f64 692910599291889/10000000000000000 y) 2) (-.f64 (pow.f64 x 2) (*.f64 (*.f64 692910599291889/10000000000000000 y) x))))
(/.f64 (-.f64 (pow.f64 (*.f64 692910599291889/10000000000000000 y) 2) (pow.f64 x 2)) (-.f64 (*.f64 692910599291889/10000000000000000 y) x))
(/.f64 (neg.f64 (+.f64 (*.f64 (pow.f64 y 3) 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000) (pow.f64 x 3))) (neg.f64 (+.f64 (pow.f64 (*.f64 692910599291889/10000000000000000 y) 2) (-.f64 (pow.f64 x 2) (*.f64 (*.f64 692910599291889/10000000000000000 y) x)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 692910599291889/10000000000000000 y) 2) (pow.f64 x 2))) (neg.f64 (-.f64 (*.f64 692910599291889/10000000000000000 y) x)))
(/.f64 (+.f64 (pow.f64 x 3) (*.f64 (pow.f64 y 3) 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000)) (+.f64 (pow.f64 x 2) (-.f64 (pow.f64 (*.f64 692910599291889/10000000000000000 y) 2) (*.f64 x (*.f64 692910599291889/10000000000000000 y)))))
(pow.f64 (fma.f64 692910599291889/10000000000000000 y x) 1)
(pow.f64 (cbrt.f64 (fma.f64 692910599291889/10000000000000000 y x)) 3)
(pow.f64 (pow.f64 (fma.f64 692910599291889/10000000000000000 y x) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 692910599291889/10000000000000000 y x)) 2)
(sqrt.f64 (pow.f64 (fma.f64 692910599291889/10000000000000000 y x) 2))
(log.f64 (exp.f64 (fma.f64 692910599291889/10000000000000000 y x)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 692910599291889/10000000000000000 y x))))
(cbrt.f64 (pow.f64 (fma.f64 692910599291889/10000000000000000 y x) 3))
(expm1.f64 (log1p.f64 (fma.f64 692910599291889/10000000000000000 y x)))
(log1p.f64 (expm1.f64 (fma.f64 692910599291889/10000000000000000 y x)))
(exp.f64 (log.f64 (fma.f64 692910599291889/10000000000000000 y x)))
(exp.f64 (*.f64 (log.f64 (fma.f64 692910599291889/10000000000000000 y x)) 1))
(fma.f64 692910599291889/10000000000000000 y x)
(fma.f64 y 692910599291889/10000000000000000 x)
(fma.f64 1 (*.f64 692910599291889/10000000000000000 y) x)
(fma.f64 1 x (*.f64 692910599291889/10000000000000000 y))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 692910599291889/10000000000000000 y)) 2) (cbrt.f64 (*.f64 692910599291889/10000000000000000 y)) x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 692910599291889/10000000000000000 y))
(fma.f64 (sqrt.f64 (*.f64 692910599291889/10000000000000000 y)) (sqrt.f64 (*.f64 692910599291889/10000000000000000 y)) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 692910599291889/10000000000000000 y))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (-.f64 692910599291889/10000000000000000 (/.f64 (+.f64 (/.f64 4046220386999211718548694042263781576003973599/10000000000000000000000000000000000000000000000 z) -751220861604756070699018739433/10000000000000000000000000000000) z))))) 1)
(pow.f64 (*.f64 y (-.f64 692910599291889/10000000000000000 (/.f64 (+.f64 (/.f64 4046220386999211718548694042263781576003973599/10000000000000000000000000000000000000000000000 z) -751220861604756070699018739433/10000000000000000000000000000000) z))) 1)
(pow.f64 (cbrt.f64 (*.f64 y (-.f64 692910599291889/10000000000000000 (/.f64 (+.f64 (/.f64 4046220386999211718548694042263781576003973599/10000000000000000000000000000000000000000000000 z) -751220861604756070699018739433/10000000000000000000000000000000) z)))) 3)
(pow.f64 (pow.f64 (*.f64 y (-.f64 692910599291889/10000000000000000 (/.f64 (+.f64 (/.f64 4046220386999211718548694042263781576003973599/10000000000000000000000000000000000000000000000 z) -751220861604756070699018739433/10000000000000000000000000000000) z))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 y (-.f64 692910599291889/10000000000000000 (/.f64 (+.f64 (/.f64 4046220386999211718548694042263781576003973599/10000000000000000000000000000000000000000000000 z) -751220861604756070699018739433/10000000000000000000000000000000) z)))) 2)
(sqrt.f64 (pow.f64 (*.f64 y (-.f64 692910599291889/10000000000000000 (/.f64 (+.f64 (/.f64 4046220386999211718548694042263781576003973599/10000000000000000000000000000000000000000000000 z) -751220861604756070699018739433/10000000000000000000000000000000) z))) 2))
(log.f64 (pow.f64 (exp.f64 y) (-.f64 692910599291889/10000000000000000 (/.f64 (+.f64 (/.f64 4046220386999211718548694042263781576003973599/10000000000000000000000000000000000000000000000 z) -751220861604756070699018739433/10000000000000000000000000000000) z))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 y (-.f64 692910599291889/10000000000000000 (/.f64 (+.f64 (/.f64 4046220386999211718548694042263781576003973599/10000000000000000000000000000000000000000000000 z) -751220861604756070699018739433/10000000000000000000000000000000) z))))))
(cbrt.f64 (pow.f64 (*.f64 y (-.f64 692910599291889/10000000000000000 (/.f64 (+.f64 (/.f64 4046220386999211718548694042263781576003973599/10000000000000000000000000000000000000000000000 z) -751220861604756070699018739433/10000000000000000000000000000000) z))) 3))
(cbrt.f64 (*.f64 (pow.f64 y 3) (pow.f64 (-.f64 692910599291889/10000000000000000 (/.f64 (+.f64 (/.f64 4046220386999211718548694042263781576003973599/10000000000000000000000000000000000000000000000 z) -751220861604756070699018739433/10000000000000000000000000000000) z)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (-.f64 692910599291889/10000000000000000 (/.f64 (+.f64 (/.f64 4046220386999211718548694042263781576003973599/10000000000000000000000000000000000000000000000 z) -751220861604756070699018739433/10000000000000000000000000000000) z)) 3) (pow.f64 y 3)))
(expm1.f64 (log1p.f64 (*.f64 y (-.f64 692910599291889/10000000000000000 (/.f64 (+.f64 (/.f64 4046220386999211718548694042263781576003973599/10000000000000000000000000000000000000000000000 z) -751220861604756070699018739433/10000000000000000000000000000000) z)))))
(log1p.f64 (expm1.f64 (*.f64 y (-.f64 692910599291889/10000000000000000 (/.f64 (+.f64 (/.f64 4046220386999211718548694042263781576003973599/10000000000000000000000000000000000000000000000 z) -751220861604756070699018739433/10000000000000000000000000000000) z)))))
(exp.f64 (log.f64 (*.f64 y (-.f64 692910599291889/10000000000000000 (/.f64 (+.f64 (/.f64 4046220386999211718548694042263781576003973599/10000000000000000000000000000000000000000000000 z) -751220861604756070699018739433/10000000000000000000000000000000) z)))))
(exp.f64 (*.f64 (log.f64 (*.f64 y (-.f64 692910599291889/10000000000000000 (/.f64 (+.f64 (/.f64 4046220386999211718548694042263781576003973599/10000000000000000000000000000000000000000000000 z) -751220861604756070699018739433/10000000000000000000000000000000) z)))) 1))
(-.f64 (exp.f64 (log1p.f64 (/.f64 4046220386999211718548694042263781576003973599/10000000000000000000000000000000000000000000000 z))) 1)
(*.f64 4046220386999211718548694042263781576003973599/10000000000000000000000000000000000000000000000 (/.f64 1 z))
(*.f64 1 (/.f64 4046220386999211718548694042263781576003973599/10000000000000000000000000000000000000000000000 z))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 4046220386999211718548694042263781576003973599/10000000000000000000000000000000000000000000000 z)) 2) (cbrt.f64 (/.f64 4046220386999211718548694042263781576003973599/10000000000000000000000000000000000000000000000 z)))
(*.f64 (sqrt.f64 (/.f64 4046220386999211718548694042263781576003973599/10000000000000000000000000000000000000000000000 z)) (sqrt.f64 (/.f64 4046220386999211718548694042263781576003973599/10000000000000000000000000000000000000000000000 z)))
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(*.f64 (/.f64 y (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 y (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 1 (pow.f64 (cbrt.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) 2)) (/.f64 (*.f64 y (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 (*.f64 y (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)) (sqrt.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 y (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000))) 2) 1) (/.f64 (cbrt.f64 (*.f64 y (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000))) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 y (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 y (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 y (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 (*.f64 y (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000))) (sqrt.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))))
(*.f64 (/.f64 (sqrt.f64 (*.f64 y (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000))) 1) (/.f64 (sqrt.f64 (*.f64 y (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000))) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))
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(*.f64 (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (sqrt.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) (/.f64 y (sqrt.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))))
(*.f64 (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) 1) (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))
(*.f64 (/.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 y (cbrt.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))))
(pow.f64 (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) (*.f64 y (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000))) -1)
(pow.f64 (cbrt.f64 (*.f64 y (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))) 3)
(pow.f64 (pow.f64 (*.f64 y (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 y (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))) 2)
(pow.f64 (*.f64 y (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) 1)
(sqrt.f64 (pow.f64 (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) (*.f64 y (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000))) -2))
(log.f64 (pow.f64 (exp.f64 y) (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 y (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))))))
(cbrt.f64 (pow.f64 (*.f64 y (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) 3))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 y (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)) 3) (pow.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) 3)))
(expm1.f64 (log1p.f64 (*.f64 y (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))))
(log1p.f64 (expm1.f64 (*.f64 y (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))))
(exp.f64 (log.f64 (*.f64 y (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) (*.f64 y (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)))) -1))
(exp.f64 (*.f64 (log.f64 (*.f64 y (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))) 1))

simplify439.0ms (3.3%)

Algorithm
egg-herbie
Rules
1192×fma-neg
852×fma-define
680×associate-*r*
680×exp-prod
634×associate-*l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
089723564
1225822570
2725322570
Stop Event
node limit
Counts
545 → 479
Calls
Call 1
Inputs
x
(+.f64 x (*.f64 692910599291889/10000000000000000 y))
(+.f64 x (*.f64 692910599291889/10000000000000000 y))
(+.f64 x (*.f64 692910599291889/10000000000000000 y))
(*.f64 692910599291889/10000000000000000 y)
(*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 x y)))
(*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 x y)))
(*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 x y)))
(*.f64 692910599291889/10000000000000000 y)
(*.f64 -1 (*.f64 y (-.f64 (*.f64 -1 (/.f64 x y)) 692910599291889/10000000000000000)))
(*.f64 -1 (*.f64 y (-.f64 (*.f64 -1 (/.f64 x y)) 692910599291889/10000000000000000)))
(*.f64 -1 (*.f64 y (-.f64 (*.f64 -1 (/.f64 x y)) 692910599291889/10000000000000000)))
(*.f64 692910599291889/10000000000000000 y)
(+.f64 x (*.f64 692910599291889/10000000000000000 y))
(+.f64 x (*.f64 692910599291889/10000000000000000 y))
(+.f64 x (*.f64 692910599291889/10000000000000000 y))
x
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(*.f64 x (+.f64 1 (*.f64 692910599291889/10000000000000000 (/.f64 y x))))
(*.f64 x (+.f64 1 (*.f64 692910599291889/10000000000000000 (/.f64 y x))))
x
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(/.f64 -751220861604756070699018739433/10000000000000000000000000000000 z)
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(/.f64 (-.f64 (*.f64 z (+.f64 751220861604756070699018739433/10000000000000000000000000000000 (*.f64 692910599291889/10000000000000000 z))) 4046220386999211718548694042263781576003973599/10000000000000000000000000000000000000000000000) (pow.f64 z 2))
(/.f64 (-.f64 (*.f64 z (+.f64 751220861604756070699018739433/10000000000000000000000000000000 (*.f64 692910599291889/10000000000000000 z))) 4046220386999211718548694042263781576003973599/10000000000000000000000000000000000000000000000) (pow.f64 z 2))
692910599291889/10000000000000000
(+.f64 692910599291889/10000000000000000 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 1 z)))
(-.f64 (+.f64 692910599291889/10000000000000000 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 1 z))) (/.f64 4046220386999211718548694042263781576003973599/10000000000000000000000000000000000000000000000 (pow.f64 z 2)))
(-.f64 (+.f64 692910599291889/10000000000000000 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 1 z))) (/.f64 4046220386999211718548694042263781576003973599/10000000000000000000000000000000000000000000000 (pow.f64 z 2)))
692910599291889/10000000000000000
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(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) (*.f64 y (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)))) 2) -1) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) (*.f64 y (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)))) -1))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) (*.f64 y (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)))) -1) (pow.f64 (sqrt.f64 (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) (*.f64 y (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)))) -1))
(*.f64 (/.f64 y 1) (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))
(*.f64 (/.f64 y (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 y (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 1 (pow.f64 (cbrt.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) 2)) (/.f64 (*.f64 y (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 (*.f64 y (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)) (sqrt.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 y (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000))) 2) 1) (/.f64 (cbrt.f64 (*.f64 y (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000))) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 y (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 y (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 y (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 (*.f64 y (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000))) (sqrt.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))))
(*.f64 (/.f64 (sqrt.f64 (*.f64 y (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000))) 1) (/.f64 (sqrt.f64 (*.f64 y (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000))) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))
(*.f64 (/.f64 (sqrt.f64 (*.f64 y (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000))) (pow.f64 (cbrt.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) 2)) (/.f64 (sqrt.f64 (*.f64 y (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000))) (cbrt.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))))
(*.f64 (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (sqrt.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) (/.f64 y (sqrt.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))))
(*.f64 (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) 1) (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))
(*.f64 (/.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 y (cbrt.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))))
(pow.f64 (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) (*.f64 y (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000))) -1)
(pow.f64 (cbrt.f64 (*.f64 y (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))) 3)
(pow.f64 (pow.f64 (*.f64 y (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 y (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))) 2)
(pow.f64 (*.f64 y (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) 1)
(sqrt.f64 (pow.f64 (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) (*.f64 y (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000))) -2))
(log.f64 (pow.f64 (exp.f64 y) (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 y (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))))))
(cbrt.f64 (pow.f64 (*.f64 y (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) 3))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 y (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)) 3) (pow.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) 3)))
(expm1.f64 (log1p.f64 (*.f64 y (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))))
(log1p.f64 (expm1.f64 (*.f64 y (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))))
(exp.f64 (log.f64 (*.f64 y (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) (*.f64 y (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)))) -1))
(exp.f64 (*.f64 (log.f64 (*.f64 y (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))) 1))
Outputs
x
(+.f64 x (*.f64 692910599291889/10000000000000000 y))
(fma.f64 692910599291889/10000000000000000 y x)
(+.f64 x (*.f64 692910599291889/10000000000000000 y))
(fma.f64 692910599291889/10000000000000000 y x)
(+.f64 x (*.f64 692910599291889/10000000000000000 y))
(fma.f64 692910599291889/10000000000000000 y x)
(*.f64 692910599291889/10000000000000000 y)
(*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 x y)))
(*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 x y)))
(*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 x y)))
(*.f64 692910599291889/10000000000000000 y)
(*.f64 -1 (*.f64 y (-.f64 (*.f64 -1 (/.f64 x y)) 692910599291889/10000000000000000)))
(neg.f64 (*.f64 y (fma.f64 -1 (/.f64 x y) -692910599291889/10000000000000000)))
(*.f64 y (neg.f64 (fma.f64 (/.f64 x y) -1 -692910599291889/10000000000000000)))
(*.f64 -1 (*.f64 y (-.f64 (*.f64 -1 (/.f64 x y)) 692910599291889/10000000000000000)))
(neg.f64 (*.f64 y (fma.f64 -1 (/.f64 x y) -692910599291889/10000000000000000)))
(*.f64 y (neg.f64 (fma.f64 (/.f64 x y) -1 -692910599291889/10000000000000000)))
(*.f64 -1 (*.f64 y (-.f64 (*.f64 -1 (/.f64 x y)) 692910599291889/10000000000000000)))
(neg.f64 (*.f64 y (fma.f64 -1 (/.f64 x y) -692910599291889/10000000000000000)))
(*.f64 y (neg.f64 (fma.f64 (/.f64 x y) -1 -692910599291889/10000000000000000)))
(*.f64 692910599291889/10000000000000000 y)
(+.f64 x (*.f64 692910599291889/10000000000000000 y))
(fma.f64 692910599291889/10000000000000000 y x)
(+.f64 x (*.f64 692910599291889/10000000000000000 y))
(fma.f64 692910599291889/10000000000000000 y x)
(+.f64 x (*.f64 692910599291889/10000000000000000 y))
(fma.f64 692910599291889/10000000000000000 y x)
x
(*.f64 x (+.f64 1 (*.f64 692910599291889/10000000000000000 (/.f64 y x))))
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(*.f64 x (fma.f64 692910599291889/10000000000000000 (/.f64 y x) 1))
x
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(*.f64 y (-.f64 (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)) (/.f64 4046220386999211718548694042263781576003973599/10000000000000000000000000000000000000000000000 (pow.f64 z 2))))
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(*.f64 y (-.f64 (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)) (/.f64 4046220386999211718548694042263781576003973599/10000000000000000000000000000000000000000000000 (pow.f64 z 2))))
(*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 (+.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 -4046220386999211718548694042263781576003973599/10000000000000000000000000000000000000000000000 z)) z)))
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(*.f64 y (-.f64 (+.f64 692910599291889/10000000000000000 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 1 z))) (*.f64 4046220386999211718548694042263781576003973599/10000000000000000000000000000000000000000000000 (/.f64 1 (pow.f64 z 2)))))
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(*.f64 (/.f64 (sqrt.f64 (*.f64 y (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000))) (pow.f64 (cbrt.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) 2)) (/.f64 (sqrt.f64 (*.f64 y (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000))) (cbrt.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))))
(*.f64 y (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))
(*.f64 (fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))
(*.f64 (/.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 y (sqrt.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))))
(*.f64 y (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))
(*.f64 (fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))
(*.f64 (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) 1) (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))
(*.f64 y (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))
(*.f64 (fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))
(*.f64 (/.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 y (cbrt.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))))
(*.f64 y (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))
(*.f64 (fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))
(pow.f64 (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) (*.f64 y (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000))) -1)
(*.f64 y (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))
(*.f64 (fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))
(pow.f64 (cbrt.f64 (*.f64 y (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))) 3)
(*.f64 y (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))
(*.f64 (fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))
(pow.f64 (pow.f64 (*.f64 y (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) 3) 1/3)
(*.f64 y (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))
(*.f64 (fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))
(pow.f64 (sqrt.f64 (*.f64 y (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))) 2)
(*.f64 y (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))
(*.f64 (fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))
(pow.f64 (*.f64 y (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) 1)
(*.f64 y (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))
(*.f64 (fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))
(sqrt.f64 (pow.f64 (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) (*.f64 y (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000))) -2))
(sqrt.f64 (pow.f64 (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) (*.f64 y (fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000))) -2))
(log.f64 (pow.f64 (exp.f64 y) (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))))
(*.f64 y (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))
(*.f64 (fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 y (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))))))
(*.f64 y (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))
(*.f64 (fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))
(cbrt.f64 (pow.f64 (*.f64 y (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) 3))
(*.f64 y (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))
(*.f64 (fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 y (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)) 3) (pow.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) 3)))
(*.f64 y (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))
(*.f64 (fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))
(expm1.f64 (log1p.f64 (*.f64 y (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))))
(expm1.f64 (log1p.f64 (*.f64 (fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))))
(log1p.f64 (expm1.f64 (*.f64 y (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))))
(*.f64 y (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))
(*.f64 (fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))
(exp.f64 (log.f64 (*.f64 y (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))))
(*.f64 y (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))
(*.f64 (fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) (*.f64 y (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)))) -1))
(*.f64 y (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))
(*.f64 (fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))
(exp.f64 (*.f64 (log.f64 (*.f64 y (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))) 1))
(*.f64 y (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))
(*.f64 (fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))

eval311.0ms (2.4%)

Compiler

Compiled 11734 to 8505 computations (27.5% saved)

prune126.0ms (1%)

Pruning

25 alts after pruning (21 fresh and 4 done)

PrunedKeptTotal
New51712529
Fresh7916
Picked235
Done011
Total52625551
Accuracy
100.0%
Counts
551 → 25
Alt Table
Click to see full alt table
StatusAccuracyProgram
75.0%
(fma.f64 (fma.f64 z 307332350656623/625000000000000 11167812716741/40000000000000) (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) x)
79.3%
(+.f64 (*.f64 279195317918525/3350343815022304 y) x)
84.3%
(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
62.7%
(+.f64 (cbrt.f64 (*.f64 (pow.f64 y 3) 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000)) x)
61.7%
(+.f64 x (/.f64 (/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 2) -124720040876201995101661081/1600000000000000000000000000) y) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) -11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
68.9%
(+.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)))
45.3%
(+.f64 x (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (exp.f64 (log.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)))) 104698244219447/31250000000000)))
84.3%
(+.f64 x (/.f64 1 (/.f64 10000000000000000/692910599291889 y)))
79.3%
(+.f64 x (/.f64 1 (/.f64 3350343815022304/279195317918525 y)))
81.5%
(+.f64 x (/.f64 1 (-.f64 (/.f64 10000000000000000/692910599291889 y) (/.f64 2504069538682520235663395798110/160041699537014921582740396107 (*.f64 y z)))))
81.5%
(+.f64 x (/.f64 1 (-.f64 (*.f64 10000000000000000/692910599291889 (/.f64 1 y)) (*.f64 2504069538682520235663395798110/160041699537014921582740396107 (/.f64 1 (*.f64 y z))))))
74.8%
(+.f64 x (/.f64 1 (+.f64 (*.f64 z (+.f64 (*.f64 -54926362148836417054593262229306108478309176/544082054113166395691471098236108147273828125 (/.f64 z y)) (*.f64 155900051080628738716045985239/389750127738131234692690878125 (/.f64 1 y)))) (*.f64 3350343815022304/279195317918525 (/.f64 1 y)))))
75.0%
(+.f64 x (/.f64 1 (+.f64 (*.f64 155900051080628738716045985239/389750127738131234692690878125 (/.f64 z y)) (*.f64 3350343815022304/279195317918525 (/.f64 1 y)))))
63.3%
(+.f64 x (+.f64 (*.f64 279195317918525/3350343815022304 y) (*.f64 z (-.f64 (*.f64 307332350656623/2093964884388940 y) (*.f64 1678650474502018223880473708075/11224803678858206361900017468416 y)))))
60.4%
(+.f64 x (*.f64 (/.f64 (*.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) y) (+.f64 (pow.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)) 3) 1147673082894964476557575335949564252827623/30517578125000000000000000000000000000000)) (+.f64 (pow.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)) 2) (-.f64 10961722342634967150292985809/976562500000000000000000000 (*.f64 z (*.f64 (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))))))
54.4%
(+.f64 x (*.f64 y (/.f64 (-.f64 480125098611044764748221188321/100000000000000000000000000000000 (pow.f64 (/.f64 (+.f64 (/.f64 4046220386999211718548694042263781576003973599/10000000000000000000000000000000000000000000000 z) -751220861604756070699018739433/10000000000000000000000000000000) z) 2)) (+.f64 692910599291889/10000000000000000 (/.f64 (+.f64 (/.f64 4046220386999211718548694042263781576003973599/10000000000000000000000000000000000000000000000 z) -751220861604756070699018739433/10000000000000000000000000000000) z)))))
58.8%
(+.f64 x (*.f64 y (-.f64 692910599291889/10000000000000000 (/.f64 (+.f64 (/.f64 4046220386999211718548694042263781576003973599/10000000000000000000000000000000000000000000000 z) -751220861604756070699018739433/10000000000000000000000000000000) z))))
67.0%
(+.f64 x (*.f64 y (-.f64 692910599291889/10000000000000000 (/.f64 -751220861604756070699018739433/10000000000000000000000000000000 z))))
57.7%
(+.f64 x (*.f64 y (+.f64 279195317918525/3350343815022304 (*.f64 z (-.f64 (*.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 z) 155900051080628738716045985239/56124018394291031809500087342080)))))
63.3%
(+.f64 x (*.f64 y (+.f64 279195317918525/3350343815022304 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z))))
56.1%
(+.f64 x (*.f64 y (+.f64 692910599291889/10000000000000000 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 21810887065466482153109263568915904549915271947668467379916697/10000000000000000000000000000000000000000000000000000000000000 (/.f64 1 z)) 4046220386999211718548694042263781576003973599/10000000000000000000000000000000000000000000000) z)) 751220861604756070699018739433/10000000000000000000000000000000) z)))))
80.2%
(*.f64 x (+.f64 1 (*.f64 692910599291889/10000000000000000 (/.f64 y x))))
80.2%
(*.f64 x (neg.f64 (fma.f64 y (/.f64 -692910599291889/10000000000000000 x) -1)))
29.8%
(*.f64 692910599291889/10000000000000000 y)
56.9%
x
Compiler

Compiled 810 to 621 computations (23.3% saved)

localize256.0ms (1.9%)

Localize:

Found 15 expressions with local error:

NewAccuracyProgram
100.0%
(+.f64 (cbrt.f64 (*.f64 (pow.f64 y 3) 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000)) x)
99.7%
(*.f64 (pow.f64 y 3) 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000)
37.6%
(cbrt.f64 (*.f64 (pow.f64 y 3) 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000))
99.6%
(*.f64 2504069538682520235663395798110/160041699537014921582740396107 (/.f64 1 (*.f64 y z)))
99.6%
(*.f64 10000000000000000/692910599291889 (/.f64 1 y))
99.5%
(/.f64 1 (*.f64 y z))
98.8%
(/.f64 1 (-.f64 (*.f64 10000000000000000/692910599291889 (/.f64 1 y)) (*.f64 2504069538682520235663395798110/160041699537014921582740396107 (/.f64 1 (*.f64 y z)))))
100.0%
(+.f64 x (*.f64 y (-.f64 692910599291889/10000000000000000 (/.f64 -751220861604756070699018739433/10000000000000000000000000000000 z))))
100.0%
(-.f64 692910599291889/10000000000000000 (/.f64 -751220861604756070699018739433/10000000000000000000000000000000 z))
99.6%
(/.f64 -751220861604756070699018739433/10000000000000000000000000000000 z)
99.5%
(*.f64 y (-.f64 692910599291889/10000000000000000 (/.f64 -751220861604756070699018739433/10000000000000000000000000000000 z)))
99.2%
(*.f64 692910599291889/10000000000000000 y)
100.0%
(+.f64 x (/.f64 1 (/.f64 10000000000000000/692910599291889 y)))
99.9%
(/.f64 10000000000000000/692910599291889 y)
99.5%
(/.f64 1 (/.f64 10000000000000000/692910599291889 y))
Compiler

Compiled 157 to 106 computations (32.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 124.0ms
Operation ival-div, time spent: 49.0ms, 39.0% of total-time
Operation ival-mult, time spent: 27.0ms, 22.0% of total-time
Operation ival-pow, time spent: 22.0ms, 18.0% of total-time
Operation ival-sub, time spent: 9.0ms, 7.0% of total-time
Operation const, time spent: 7.0ms, 6.0% of total-time
Operation ival-cbrt, time spent: 6.0ms, 5.0% of total-time
Operation ival-add, time spent: 5.0ms, 4.0% of total-time

series46.0ms (0.4%)

Counts
14 → 216
Calls
Call 1
Inputs
#<alt (/.f64 1 (/.f64 10000000000000000/692910599291889 y))>
#<alt (/.f64 10000000000000000/692910599291889 y)>
#<alt (+.f64 x (/.f64 1 (/.f64 10000000000000000/692910599291889 y)))>
#<alt (*.f64 y (-.f64 692910599291889/10000000000000000 (/.f64 -751220861604756070699018739433/10000000000000000000000000000000 z)))>
#<alt (/.f64 -751220861604756070699018739433/10000000000000000000000000000000 z)>
#<alt (-.f64 692910599291889/10000000000000000 (/.f64 -751220861604756070699018739433/10000000000000000000000000000000 z))>
#<alt (+.f64 x (*.f64 y (-.f64 692910599291889/10000000000000000 (/.f64 -751220861604756070699018739433/10000000000000000000000000000000 z))))>
#<alt (/.f64 1 (-.f64 (*.f64 10000000000000000/692910599291889 (/.f64 1 y)) (*.f64 2504069538682520235663395798110/160041699537014921582740396107 (/.f64 1 (*.f64 y z)))))>
#<alt (/.f64 1 (*.f64 y z))>
#<alt (*.f64 10000000000000000/692910599291889 (/.f64 1 y))>
#<alt (*.f64 2504069538682520235663395798110/160041699537014921582740396107 (/.f64 1 (*.f64 y z)))>
#<alt (cbrt.f64 (*.f64 (pow.f64 y 3) 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000))>
#<alt (*.f64 (pow.f64 y 3) 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000)>
#<alt (+.f64 (cbrt.f64 (*.f64 (pow.f64 y 3) 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000)) x)>
Outputs
#<alt (*.f64 692910599291889/10000000000000000 y)>
#<alt (*.f64 692910599291889/10000000000000000 y)>
#<alt (*.f64 692910599291889/10000000000000000 y)>
#<alt (*.f64 692910599291889/10000000000000000 y)>
#<alt (*.f64 692910599291889/10000000000000000 y)>
#<alt (*.f64 692910599291889/10000000000000000 y)>
#<alt (*.f64 692910599291889/10000000000000000 y)>
#<alt (*.f64 692910599291889/10000000000000000 y)>
#<alt (*.f64 692910599291889/10000000000000000 y)>
#<alt (*.f64 692910599291889/10000000000000000 y)>
#<alt (*.f64 692910599291889/10000000000000000 y)>
#<alt (*.f64 692910599291889/10000000000000000 y)>
#<alt (*.f64 692910599291889/10000000000000000 y)>
#<alt (+.f64 x (*.f64 692910599291889/10000000000000000 y))>
#<alt (+.f64 x (*.f64 692910599291889/10000000000000000 y))>
#<alt (+.f64 x (*.f64 692910599291889/10000000000000000 y))>
#<alt x>
#<alt (*.f64 x (+.f64 1 (*.f64 692910599291889/10000000000000000 (/.f64 y x))))>
#<alt (*.f64 x (+.f64 1 (*.f64 692910599291889/10000000000000000 (/.f64 y x))))>
#<alt (*.f64 x (+.f64 1 (*.f64 692910599291889/10000000000000000 (/.f64 y x))))>
#<alt x>
#<alt (*.f64 -1 (*.f64 x (-.f64 (*.f64 -692910599291889/10000000000000000 (/.f64 y x)) 1)))>
#<alt (*.f64 -1 (*.f64 x (-.f64 (*.f64 -692910599291889/10000000000000000 (/.f64 y x)) 1)))>
#<alt (*.f64 -1 (*.f64 x (-.f64 (*.f64 -692910599291889/10000000000000000 (/.f64 y x)) 1)))>
#<alt x>
#<alt (+.f64 x (*.f64 692910599291889/10000000000000000 y))>
#<alt (+.f64 x (*.f64 692910599291889/10000000000000000 y))>
#<alt (+.f64 x (*.f64 692910599291889/10000000000000000 y))>
#<alt (*.f64 692910599291889/10000000000000000 y)>
#<alt (*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 x y)))>
#<alt (*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 x y)))>
#<alt (*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 x y)))>
#<alt (*.f64 692910599291889/10000000000000000 y)>
#<alt (*.f64 -1 (*.f64 y (-.f64 (*.f64 -1 (/.f64 x y)) 692910599291889/10000000000000000)))>
#<alt (*.f64 -1 (*.f64 y (-.f64 (*.f64 -1 (/.f64 x y)) 692910599291889/10000000000000000)))>
#<alt (*.f64 -1 (*.f64 y (-.f64 (*.f64 -1 (/.f64 x y)) 692910599291889/10000000000000000)))>
#<alt (*.f64 y (+.f64 692910599291889/10000000000000000 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 1 z))))>
#<alt (*.f64 y (+.f64 692910599291889/10000000000000000 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 1 z))))>
#<alt (*.f64 y (+.f64 692910599291889/10000000000000000 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 1 z))))>
#<alt (*.f64 y (+.f64 692910599291889/10000000000000000 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 1 z))))>
#<alt (*.f64 y (+.f64 692910599291889/10000000000000000 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 1 z))))>
#<alt (*.f64 y (+.f64 692910599291889/10000000000000000 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 1 z))))>
#<alt (*.f64 y (+.f64 692910599291889/10000000000000000 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 1 z))))>
#<alt (*.f64 y (+.f64 692910599291889/10000000000000000 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 1 z))))>
#<alt (*.f64 y (+.f64 692910599291889/10000000000000000 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 1 z))))>
#<alt (*.f64 y (+.f64 692910599291889/10000000000000000 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 1 z))))>
#<alt (*.f64 y (+.f64 692910599291889/10000000000000000 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 1 z))))>
#<alt (*.f64 y (+.f64 692910599291889/10000000000000000 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 1 z))))>
#<alt (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z))>
#<alt (/.f64 (+.f64 (*.f64 692910599291889/10000000000000000 (*.f64 y z)) (*.f64 751220861604756070699018739433/10000000000000000000000000000000 y)) z)>
#<alt (/.f64 (+.f64 (*.f64 692910599291889/10000000000000000 (*.f64 y z)) (*.f64 751220861604756070699018739433/10000000000000000000000000000000 y)) z)>
#<alt (/.f64 (+.f64 (*.f64 692910599291889/10000000000000000 (*.f64 y z)) (*.f64 751220861604756070699018739433/10000000000000000000000000000000 y)) z)>
#<alt (*.f64 692910599291889/10000000000000000 y)>
#<alt (+.f64 (*.f64 692910599291889/10000000000000000 y) (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)))>
#<alt (+.f64 (*.f64 692910599291889/10000000000000000 y) (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)))>
#<alt (+.f64 (*.f64 692910599291889/10000000000000000 y) (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)))>
#<alt (*.f64 692910599291889/10000000000000000 y)>
#<alt (+.f64 (*.f64 692910599291889/10000000000000000 y) (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)))>
#<alt (+.f64 (*.f64 692910599291889/10000000000000000 y) (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)))>
#<alt (+.f64 (*.f64 692910599291889/10000000000000000 y) (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)))>
#<alt (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)>
#<alt (/.f64 (+.f64 751220861604756070699018739433/10000000000000000000000000000000 (*.f64 692910599291889/10000000000000000 z)) z)>
#<alt (/.f64 (+.f64 751220861604756070699018739433/10000000000000000000000000000000 (*.f64 692910599291889/10000000000000000 z)) z)>
#<alt (/.f64 (+.f64 751220861604756070699018739433/10000000000000000000000000000000 (*.f64 692910599291889/10000000000000000 z)) z)>
#<alt 692910599291889/10000000000000000>
#<alt (+.f64 692910599291889/10000000000000000 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 1 z)))>
#<alt (+.f64 692910599291889/10000000000000000 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 1 z)))>
#<alt (+.f64 692910599291889/10000000000000000 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 1 z)))>
#<alt 692910599291889/10000000000000000>
#<alt (+.f64 692910599291889/10000000000000000 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 1 z)))>
#<alt (+.f64 692910599291889/10000000000000000 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 1 z)))>
#<alt (+.f64 692910599291889/10000000000000000 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 1 z)))>
#<alt (*.f64 y (+.f64 692910599291889/10000000000000000 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 1 z))))>
#<alt (+.f64 x (*.f64 y (+.f64 692910599291889/10000000000000000 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 1 z)))))>
#<alt (+.f64 x (*.f64 y (+.f64 692910599291889/10000000000000000 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 1 z)))))>
#<alt (+.f64 x (*.f64 y (+.f64 692910599291889/10000000000000000 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 1 z)))))>
#<alt x>
#<alt (*.f64 x (+.f64 1 (/.f64 (*.f64 y (+.f64 692910599291889/10000000000000000 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 1 z)))) x)))>
#<alt (*.f64 x (+.f64 1 (/.f64 (*.f64 y (+.f64 692910599291889/10000000000000000 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 1 z)))) x)))>
#<alt (*.f64 x (+.f64 1 (/.f64 (*.f64 y (+.f64 692910599291889/10000000000000000 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 1 z)))) x)))>
#<alt x>
#<alt (*.f64 -1 (*.f64 x (-.f64 (*.f64 -1 (/.f64 (*.f64 y (+.f64 692910599291889/10000000000000000 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 1 z)))) x)) 1)))>
#<alt (*.f64 -1 (*.f64 x (-.f64 (*.f64 -1 (/.f64 (*.f64 y (+.f64 692910599291889/10000000000000000 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 1 z)))) x)) 1)))>
#<alt (*.f64 -1 (*.f64 x (-.f64 (*.f64 -1 (/.f64 (*.f64 y (+.f64 692910599291889/10000000000000000 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 1 z)))) x)) 1)))>
#<alt x>
#<alt (+.f64 x (*.f64 y (+.f64 692910599291889/10000000000000000 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 1 z)))))>
#<alt (+.f64 x (*.f64 y (+.f64 692910599291889/10000000000000000 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 1 z)))))>
#<alt (+.f64 x (*.f64 y (+.f64 692910599291889/10000000000000000 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 1 z)))))>
#<alt (*.f64 y (+.f64 692910599291889/10000000000000000 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 1 z))))>
#<alt (*.f64 y (+.f64 692910599291889/10000000000000000 (+.f64 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 1 z)) (/.f64 x y))))>
#<alt (*.f64 y (+.f64 692910599291889/10000000000000000 (+.f64 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 1 z)) (/.f64 x y))))>
#<alt (*.f64 y (+.f64 692910599291889/10000000000000000 (+.f64 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 1 z)) (/.f64 x y))))>
#<alt (*.f64 y (+.f64 692910599291889/10000000000000000 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 1 z))))>
#<alt (*.f64 -1 (*.f64 y (+.f64 (*.f64 -1 (+.f64 692910599291889/10000000000000000 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 1 z)))) (*.f64 -1 (/.f64 x y)))))>
#<alt (*.f64 -1 (*.f64 y (+.f64 (*.f64 -1 (+.f64 692910599291889/10000000000000000 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 1 z)))) (*.f64 -1 (/.f64 x y)))))>
#<alt (*.f64 -1 (*.f64 y (+.f64 (*.f64 -1 (+.f64 692910599291889/10000000000000000 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 1 z)))) (*.f64 -1 (/.f64 x y)))))>
#<alt (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z))>
#<alt (/.f64 (+.f64 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 y) (*.f64 z (+.f64 x (*.f64 692910599291889/10000000000000000 y)))) z)>
#<alt (/.f64 (+.f64 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 y) (*.f64 z (+.f64 x (*.f64 692910599291889/10000000000000000 y)))) z)>
#<alt (/.f64 (+.f64 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 y) (*.f64 z (+.f64 x (*.f64 692910599291889/10000000000000000 y)))) z)>
#<alt (+.f64 x (*.f64 692910599291889/10000000000000000 y))>
#<alt (+.f64 x (+.f64 (*.f64 692910599291889/10000000000000000 y) (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z))))>
#<alt (+.f64 x (+.f64 (*.f64 692910599291889/10000000000000000 y) (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z))))>
#<alt (+.f64 x (+.f64 (*.f64 692910599291889/10000000000000000 y) (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z))))>
#<alt (+.f64 x (*.f64 692910599291889/10000000000000000 y))>
#<alt (+.f64 x (+.f64 (*.f64 692910599291889/10000000000000000 y) (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z))))>
#<alt (+.f64 x (+.f64 (*.f64 692910599291889/10000000000000000 y) (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z))))>
#<alt (+.f64 x (+.f64 (*.f64 692910599291889/10000000000000000 y) (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z))))>
#<alt (/.f64 y (-.f64 10000000000000000/692910599291889 (*.f64 2504069538682520235663395798110/160041699537014921582740396107 (/.f64 1 z))))>
#<alt (/.f64 y (-.f64 10000000000000000/692910599291889 (*.f64 2504069538682520235663395798110/160041699537014921582740396107 (/.f64 1 z))))>
#<alt (/.f64 y (-.f64 10000000000000000/692910599291889 (*.f64 2504069538682520235663395798110/160041699537014921582740396107 (/.f64 1 z))))>
#<alt (/.f64 y (-.f64 10000000000000000/692910599291889 (*.f64 2504069538682520235663395798110/160041699537014921582740396107 (/.f64 1 z))))>
#<alt (/.f64 y (-.f64 10000000000000000/692910599291889 (*.f64 2504069538682520235663395798110/160041699537014921582740396107 (/.f64 1 z))))>
#<alt (/.f64 y (-.f64 10000000000000000/692910599291889 (*.f64 2504069538682520235663395798110/160041699537014921582740396107 (/.f64 1 z))))>
#<alt (/.f64 y (-.f64 10000000000000000/692910599291889 (*.f64 2504069538682520235663395798110/160041699537014921582740396107 (/.f64 1 z))))>
#<alt (/.f64 y (-.f64 10000000000000000/692910599291889 (*.f64 2504069538682520235663395798110/160041699537014921582740396107 (/.f64 1 z))))>
#<alt (*.f64 -1 (/.f64 y (-.f64 (*.f64 2504069538682520235663395798110/160041699537014921582740396107 (/.f64 1 z)) 10000000000000000/692910599291889)))>
#<alt (*.f64 -1 (/.f64 y (-.f64 (*.f64 2504069538682520235663395798110/160041699537014921582740396107 (/.f64 1 z)) 10000000000000000/692910599291889)))>
#<alt (*.f64 -1 (/.f64 y (-.f64 (*.f64 2504069538682520235663395798110/160041699537014921582740396107 (/.f64 1 z)) 10000000000000000/692910599291889)))>
#<alt (*.f64 -1 (/.f64 y (-.f64 (*.f64 2504069538682520235663395798110/160041699537014921582740396107 (/.f64 1 z)) 10000000000000000/692910599291889)))>
#<alt (*.f64 -160041699537014921582740396107/2504069538682520235663395798110 (*.f64 y z))>
#<alt (*.f64 z (+.f64 (*.f64 -160041699537014921582740396107/2504069538682520235663395798110 y) (*.f64 -3696486331262848120733147479128771652409204100000000000000/62703642545576897068524151514589152838481934966500038795721 (*.f64 y z))))>
#<alt (*.f64 z (+.f64 (*.f64 -160041699537014921582740396107/2504069538682520235663395798110 y) (*.f64 z (-.f64 (*.f64 -853778186356538738843070338010378282780166478298108691848300000000000000000000000000000/15701428126281638947301330141368631288413274089051284127680697962118102326466829604788731 (*.f64 y z)) (*.f64 3696486331262848120733147479128771652409204100000000000000/62703642545576897068524151514589152838481934966500038795721 y)))))>
#<alt (*.f64 z (+.f64 (*.f64 -160041699537014921582740396107/2504069538682520235663395798110 y) (*.f64 z (-.f64 (*.f64 z (-.f64 (*.f64 -197197318256883782045293390284022880676435948793227669139889539362202812900000000000000000000000000000000000000000000/3931746788483481172165326344768108943805269958963204279358207328721937781874449924622341652328675000958198107967909841 (*.f64 y z)) (*.f64 853778186356538738843070338010378282780166478298108691848300000000000000000000000000000/15701428126281638947301330141368631288413274089051284127680697962118102326466829604788731 y))) (*.f64 3696486331262848120733147479128771652409204100000000000000/62703642545576897068524151514589152838481934966500038795721 y)))))>
#<alt (*.f64 692910599291889/10000000000000000 y)>
#<alt (+.f64 (*.f64 692910599291889/10000000000000000 y) (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)))>
#<alt (-.f64 (+.f64 (*.f64 692910599291889/10000000000000000 y) (*.f64 188110927636730691205572454543767458515445804899500116387163/2309701997639630000000000000000000000000000000000000000000000 (/.f64 y (pow.f64 z 2)))) (*.f64 -751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)))>
#<alt (-.f64 (+.f64 (*.f64 692910599291889/10000000000000000 y) (*.f64 47104284378844916841903990424105893865239822267153852383042093886354306979400488814366193/533472331790049738609134653690000000000000000000000000000000000000000000000000000000000000 (/.f64 y (pow.f64 z 3)))) (+.f64 (*.f64 -188110927636730691205572454543767458515445804899500116387163/2309701997639630000000000000000000000000000000000000000000000 (/.f64 y (pow.f64 z 2))) (*.f64 -751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z))))>
#<alt (*.f64 692910599291889/10000000000000000 y)>
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#<alt (/.f64 10000000000000000/692910599291889 y)>
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#<alt (/.f64 10000000000000000/692910599291889 y)>
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#<alt (/.f64 10000000000000000/692910599291889 y)>
#<alt (/.f64 10000000000000000/692910599291889 y)>
#<alt (/.f64 10000000000000000/692910599291889 y)>
#<alt (/.f64 10000000000000000/692910599291889 y)>
#<alt (/.f64 10000000000000000/692910599291889 y)>
#<alt (/.f64 10000000000000000/692910599291889 y)>
#<alt (/.f64 10000000000000000/692910599291889 y)>
#<alt (/.f64 2504069538682520235663395798110/160041699537014921582740396107 (*.f64 y z))>
#<alt (/.f64 2504069538682520235663395798110/160041699537014921582740396107 (*.f64 y z))>
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#<alt (/.f64 2504069538682520235663395798110/160041699537014921582740396107 (*.f64 y z))>
#<alt (/.f64 2504069538682520235663395798110/160041699537014921582740396107 (*.f64 y z))>
#<alt (/.f64 2504069538682520235663395798110/160041699537014921582740396107 (*.f64 y z))>
#<alt (/.f64 2504069538682520235663395798110/160041699537014921582740396107 (*.f64 y z))>
#<alt (/.f64 2504069538682520235663395798110/160041699537014921582740396107 (*.f64 y z))>
#<alt (/.f64 2504069538682520235663395798110/160041699537014921582740396107 (*.f64 y z))>
#<alt (/.f64 2504069538682520235663395798110/160041699537014921582740396107 (*.f64 y z))>
#<alt (/.f64 2504069538682520235663395798110/160041699537014921582740396107 (*.f64 y z))>
#<alt (/.f64 2504069538682520235663395798110/160041699537014921582740396107 (*.f64 y z))>
#<alt (/.f64 2504069538682520235663395798110/160041699537014921582740396107 (*.f64 y z))>
#<alt (/.f64 2504069538682520235663395798110/160041699537014921582740396107 (*.f64 y z))>
#<alt (/.f64 2504069538682520235663395798110/160041699537014921582740396107 (*.f64 y z))>
#<alt (/.f64 2504069538682520235663395798110/160041699537014921582740396107 (*.f64 y z))>
#<alt (/.f64 2504069538682520235663395798110/160041699537014921582740396107 (*.f64 y z))>
#<alt (/.f64 2504069538682520235663395798110/160041699537014921582740396107 (*.f64 y z))>
#<alt (/.f64 2504069538682520235663395798110/160041699537014921582740396107 (*.f64 y z))>
#<alt (/.f64 2504069538682520235663395798110/160041699537014921582740396107 (*.f64 y z))>
#<alt (/.f64 2504069538682520235663395798110/160041699537014921582740396107 (*.f64 y z))>
#<alt (/.f64 2504069538682520235663395798110/160041699537014921582740396107 (*.f64 y z))>
#<alt (/.f64 2504069538682520235663395798110/160041699537014921582740396107 (*.f64 y z))>
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#<alt (*.f64 y (cbrt.f64 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000))>
#<alt (*.f64 y (cbrt.f64 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000))>
#<alt (*.f64 y (cbrt.f64 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000))>
#<alt (*.f64 y (cbrt.f64 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000))>
#<alt (*.f64 y (cbrt.f64 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000))>
#<alt (*.f64 y (cbrt.f64 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000))>
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#<alt (*.f64 -1 (*.f64 y (cbrt.f64 -332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000)))>
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#<alt (*.f64 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000 (pow.f64 y 3))>
#<alt (*.f64 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000 (pow.f64 y 3))>
#<alt (*.f64 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000 (pow.f64 y 3))>
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#<alt (*.f64 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000 (pow.f64 y 3))>
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#<alt (*.f64 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000 (pow.f64 y 3))>
#<alt (*.f64 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000 (pow.f64 y 3))>
#<alt (*.f64 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000 (pow.f64 y 3))>
#<alt (*.f64 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000 (pow.f64 y 3))>
#<alt (*.f64 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000 (pow.f64 y 3))>
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#<alt (+.f64 x (*.f64 y (cbrt.f64 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000)))>
#<alt (+.f64 x (*.f64 y (cbrt.f64 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000)))>
#<alt (*.f64 y (cbrt.f64 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000))>
#<alt (*.f64 y (+.f64 (cbrt.f64 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000) (/.f64 x y)))>
#<alt (*.f64 y (+.f64 (cbrt.f64 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000) (/.f64 x y)))>
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#<alt (*.f64 -1 (*.f64 y (+.f64 (cbrt.f64 -332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000) (*.f64 -1 (/.f64 x y)))))>
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#<alt (+.f64 x (*.f64 y (cbrt.f64 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000)))>
#<alt x>
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#<alt (*.f64 x (+.f64 1 (/.f64 (*.f64 y (cbrt.f64 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000)) x)))>
#<alt (*.f64 x (+.f64 1 (/.f64 (*.f64 y (cbrt.f64 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000)) x)))>
#<alt x>
#<alt (*.f64 -1 (*.f64 x (-.f64 (*.f64 -1 (/.f64 (*.f64 y (cbrt.f64 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000)) x)) 1)))>
#<alt (*.f64 -1 (*.f64 x (-.f64 (*.f64 -1 (/.f64 (*.f64 y (cbrt.f64 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000)) x)) 1)))>
#<alt (*.f64 -1 (*.f64 x (-.f64 (*.f64 -1 (/.f64 (*.f64 y (cbrt.f64 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000)) x)) 1)))>
Calls

66 calls:

TimeVariablePointExpression
9.0ms
y
@-inf
(* (pow y 3) 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000)
5.0ms
z
@-inf
(/ 1 (- (* 10000000000000000/692910599291889 (/ 1 y)) (* 2504069538682520235663395798110/160041699537014921582740396107 (/ 1 (* y z)))))
3.0ms
y
@0
(cbrt (* (pow y 3) 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000))
2.0ms
y
@-inf
(cbrt (* (pow y 3) 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000))
2.0ms
y
@0
(/ 1 (- (* 10000000000000000/692910599291889 (/ 1 y)) (* 2504069538682520235663395798110/160041699537014921582740396107 (/ 1 (* y z)))))

rewrite248.0ms (1.9%)

Algorithm
batch-egg-rewrite
Rules
418×log1p-expm1-u
366×associate-*r*
232×expm1-log1p-u
228×add-cube-cbrt
228×associate-*l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
035257
1549245
27694245
Stop Event
node limit
Counts
14 → 444
Calls
Call 1
Inputs
(/.f64 1 (/.f64 10000000000000000/692910599291889 y))
(/.f64 10000000000000000/692910599291889 y)
(+.f64 x (/.f64 1 (/.f64 10000000000000000/692910599291889 y)))
(*.f64 y (-.f64 692910599291889/10000000000000000 (/.f64 -751220861604756070699018739433/10000000000000000000000000000000 z)))
(/.f64 -751220861604756070699018739433/10000000000000000000000000000000 z)
(-.f64 692910599291889/10000000000000000 (/.f64 -751220861604756070699018739433/10000000000000000000000000000000 z))
(+.f64 x (*.f64 y (-.f64 692910599291889/10000000000000000 (/.f64 -751220861604756070699018739433/10000000000000000000000000000000 z))))
(/.f64 1 (-.f64 (*.f64 10000000000000000/692910599291889 (/.f64 1 y)) (*.f64 2504069538682520235663395798110/160041699537014921582740396107 (/.f64 1 (*.f64 y z)))))
(/.f64 1 (*.f64 y z))
(*.f64 10000000000000000/692910599291889 (/.f64 1 y))
(*.f64 2504069538682520235663395798110/160041699537014921582740396107 (/.f64 1 (*.f64 y z)))
(cbrt.f64 (*.f64 (pow.f64 y 3) 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000))
(*.f64 (pow.f64 y 3) 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000)
(+.f64 (cbrt.f64 (*.f64 (pow.f64 y 3) 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000)) x)
Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 y 692910599291889/10000000000000000))) 1)
(*.f64 1 (*.f64 y 692910599291889/10000000000000000))
(*.f64 y 692910599291889/10000000000000000)
(*.f64 y (cbrt.f64 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000))
(*.f64 692910599291889/10000000000000000 y)
(*.f64 692910599291889/10000000000000000 (pow.f64 (/.f64 1 y) -1))
(*.f64 (*.f64 y 692910599291889/10000000000000000) 1)
(*.f64 -1 (/.f64 1 (/.f64 -10000000000000000/692910599291889 y)))
(*.f64 (cbrt.f64 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000) y)
(*.f64 (cbrt.f64 (*.f64 y 692910599291889/10000000000000000)) (pow.f64 (cbrt.f64 (*.f64 y 692910599291889/10000000000000000)) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 y 692910599291889/10000000000000000)) 2) (cbrt.f64 (*.f64 y 692910599291889/10000000000000000)))
(*.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) (cbrt.f64 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000)))
(*.f64 (pow.f64 (cbrt.f64 y) 2) (/.f64 (cbrt.f64 y) 10000000000000000/692910599291889))
(*.f64 (sqrt.f64 (*.f64 y 692910599291889/10000000000000000)) (sqrt.f64 (*.f64 y 692910599291889/10000000000000000)))
(*.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (cbrt.f64 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000)))
(*.f64 (sqrt.f64 y) (/.f64 (sqrt.f64 y) 10000000000000000/692910599291889))
(*.f64 (pow.f64 (/.f64 1 y) -1) 692910599291889/10000000000000000)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 10000000000000000/692910599291889 y)) 2) -1) (pow.f64 (cbrt.f64 (/.f64 10000000000000000/692910599291889 y)) -1))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 10000000000000000/692910599291889 y)) -1) (pow.f64 (sqrt.f64 (/.f64 10000000000000000/692910599291889 y)) -1))
(*.f64 (pow.f64 1 1/3) (*.f64 y 692910599291889/10000000000000000))
(*.f64 (pow.f64 (*.f64 480125098611044764748221188321/100000000000000000000000000000000 (pow.f64 y 2)) 1/3) (cbrt.f64 (*.f64 y 692910599291889/10000000000000000)))
(*.f64 (pow.f64 (*.f64 (pow.f64 y 3/2) (sqrt.f64 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000)) 1/3) (pow.f64 (*.f64 (pow.f64 y 3/2) (sqrt.f64 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000)) 1/3))
(*.f64 -692910599291889/10000000000000000 (neg.f64 y))
(*.f64 (*.f64 692910599291889/10000000000000000 (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))
(*.f64 (*.f64 692910599291889/10000000000000000 (sqrt.f64 y)) (sqrt.f64 y))
(pow.f64 (/.f64 10000000000000000/692910599291889 y) -1)
(pow.f64 (*.f64 (pow.f64 y 3) 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000) 1/3)
(pow.f64 (*.f64 y 692910599291889/10000000000000000) 1)
(pow.f64 (cbrt.f64 (*.f64 y 692910599291889/10000000000000000)) 3)
(pow.f64 (sqrt.f64 (*.f64 y 692910599291889/10000000000000000)) 2)
(neg.f64 (/.f64 -1 (/.f64 10000000000000000/692910599291889 y)))
(sqrt.f64 (*.f64 480125098611044764748221188321/100000000000000000000000000000000 (pow.f64 y 2)))
(log.f64 (pow.f64 (exp.f64 692910599291889/10000000000000000) y))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 y 692910599291889/10000000000000000))))
(cbrt.f64 (*.f64 (pow.f64 y 3) 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000))
(expm1.f64 (log1p.f64 (*.f64 y 692910599291889/10000000000000000)))
(log1p.f64 (expm1.f64 (*.f64 y 692910599291889/10000000000000000)))
(exp.f64 (log.f64 (*.f64 y 692910599291889/10000000000000000)))
(exp.f64 (*.f64 (log.f64 (/.f64 10000000000000000/692910599291889 y)) -1))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 y 3) 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000)) 1/3))
(exp.f64 (*.f64 (log.f64 (*.f64 y 692910599291889/10000000000000000)) 1))
(-.f64 (exp.f64 (log1p.f64 (/.f64 10000000000000000/692910599291889 y))) 1)
(*.f64 1 (/.f64 10000000000000000/692910599291889 y))
(*.f64 10000000000000000/692910599291889 (/.f64 1 y))
(*.f64 10000000000000000/692910599291889 (/.f64 (/.f64 1 y) 1))
(*.f64 (/.f64 10000000000000000/692910599291889 y) 1)
(*.f64 (/.f64 1 y) 10000000000000000/692910599291889)
(*.f64 (cbrt.f64 (/.f64 10000000000000000/692910599291889 y)) (pow.f64 (cbrt.f64 (/.f64 10000000000000000/692910599291889 y)) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 10000000000000000/692910599291889 y)) 2) (cbrt.f64 (/.f64 10000000000000000/692910599291889 y)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 10000000000000000/692910599291889 y)) 2) (/.f64 (cbrt.f64 (/.f64 10000000000000000/692910599291889 y)) 1))
(*.f64 (cbrt.f64 (pow.f64 y -2)) (*.f64 (/.f64 1 (cbrt.f64 y)) 10000000000000000/692910599291889))
(*.f64 (sqrt.f64 (/.f64 10000000000000000/692910599291889 y)) (sqrt.f64 (/.f64 10000000000000000/692910599291889 y)))
(*.f64 (sqrt.f64 (/.f64 10000000000000000/692910599291889 y)) (/.f64 (sqrt.f64 (/.f64 10000000000000000/692910599291889 y)) 1))
(*.f64 (pow.f64 y -1/2) (*.f64 (pow.f64 y -1/2) 10000000000000000/692910599291889))
(*.f64 -10000000000000000/692910599291889 (/.f64 1 (neg.f64 y)))
(*.f64 (*.f64 10000000000000000/692910599291889 (cbrt.f64 (pow.f64 y -2))) (/.f64 1 (cbrt.f64 y)))
(*.f64 (*.f64 10000000000000000/692910599291889 (pow.f64 y -1/2)) (pow.f64 y -1/2))
(pow.f64 (/.f64 10000000000000000/692910599291889 y) 1)
(pow.f64 (*.f64 y 692910599291889/10000000000000000) -1)
(pow.f64 (cbrt.f64 (/.f64 10000000000000000/692910599291889 y)) 3)
(pow.f64 (/.f64 1000000000000000000000000000000000000000000000000/332683769813656330865983273121589448716828369 (pow.f64 y 3)) 1/3)
(pow.f64 (sqrt.f64 (/.f64 10000000000000000/692910599291889 y)) 2)
(neg.f64 (/.f64 -10000000000000000/692910599291889 y))
(sqrt.f64 (*.f64 (pow.f64 y -2) 100000000000000000000000000000000/480125098611044764748221188321))
(log.f64 (exp.f64 (/.f64 10000000000000000/692910599291889 y)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 10000000000000000/692910599291889 y))))
(cbrt.f64 (/.f64 1000000000000000000000000000000000000000000000000/332683769813656330865983273121589448716828369 (pow.f64 y 3)))
(expm1.f64 (log1p.f64 (/.f64 10000000000000000/692910599291889 y)))
(log1p.f64 (expm1.f64 (/.f64 10000000000000000/692910599291889 y)))
(exp.f64 (log.f64 (/.f64 10000000000000000/692910599291889 y)))
(exp.f64 (*.f64 (log.f64 (/.f64 10000000000000000/692910599291889 y)) 1))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 692910599291889/10000000000000000 y x))) 1)
(-.f64 (/.f64 (pow.f64 x 2) (+.f64 x (*.f64 -692910599291889/10000000000000000 y))) (/.f64 (*.f64 480125098611044764748221188321/100000000000000000000000000000000 (pow.f64 y 2)) (+.f64 x (*.f64 -692910599291889/10000000000000000 y))))
(-.f64 (/.f64 (*.f64 480125098611044764748221188321/100000000000000000000000000000000 (pow.f64 y 2)) (-.f64 (*.f64 y 692910599291889/10000000000000000) x)) (/.f64 (pow.f64 x 2) (-.f64 (*.f64 y 692910599291889/10000000000000000) x)))
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simplify351.0ms (2.7%)

Algorithm
egg-herbie
Rules
1576×fma-neg
812×exp-prod
712×cube-prod
682×fma-define
640×associate-*r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
084517292
1188416730
2646116724
Stop Event
node limit
Counts
660 → 504
Calls
Call 1
Inputs
(*.f64 692910599291889/10000000000000000 y)
(*.f64 692910599291889/10000000000000000 y)
(*.f64 692910599291889/10000000000000000 y)
(*.f64 692910599291889/10000000000000000 y)
(*.f64 692910599291889/10000000000000000 y)
(*.f64 692910599291889/10000000000000000 y)
(*.f64 692910599291889/10000000000000000 y)
(*.f64 692910599291889/10000000000000000 y)
(*.f64 692910599291889/10000000000000000 y)
(*.f64 692910599291889/10000000000000000 y)
(*.f64 692910599291889/10000000000000000 y)
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(*.f64 692910599291889/10000000000000000 y)
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eval202.0ms (1.5%)

Compiler

Compiled 7736 to 5514 computations (28.7% saved)

prune170.0ms (1.3%)

Pruning

21 alts after pruning (15 fresh and 6 done)

PrunedKeptTotal
New5153518
Fresh41216
Picked325
Done044
Total52221543
Accuracy
100.0%
Counts
543 → 21
Alt Table
Click to see full alt table
StatusAccuracyProgram
75.0%
(fma.f64 (fma.f64 z 307332350656623/625000000000000 11167812716741/40000000000000) (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) x)
84.4%
(+.f64 (/.f64 y 10000000000000000/692910599291889) x)
79.3%
(+.f64 (*.f64 279195317918525/3350343815022304 y) x)
84.3%
(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
61.7%
(+.f64 x (/.f64 (/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 2) -124720040876201995101661081/1600000000000000000000000000) y) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) -11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
68.9%
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45.3%
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81.6%
(+.f64 x (/.f64 y (-.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z))))
79.3%
(+.f64 x (/.f64 1 (/.f64 3350343815022304/279195317918525 y)))
74.8%
(+.f64 x (/.f64 1 (+.f64 (*.f64 z (+.f64 (*.f64 -54926362148836417054593262229306108478309176/544082054113166395691471098236108147273828125 (/.f64 z y)) (*.f64 155900051080628738716045985239/389750127738131234692690878125 (/.f64 1 y)))) (*.f64 3350343815022304/279195317918525 (/.f64 1 y)))))
75.0%
(+.f64 x (/.f64 1 (+.f64 (*.f64 155900051080628738716045985239/389750127738131234692690878125 (/.f64 z y)) (*.f64 3350343815022304/279195317918525 (/.f64 1 y)))))
63.3%
(+.f64 x (+.f64 (*.f64 279195317918525/3350343815022304 y) (*.f64 z (-.f64 (*.f64 307332350656623/2093964884388940 y) (*.f64 1678650474502018223880473708075/11224803678858206361900017468416 y)))))
60.4%
(+.f64 x (*.f64 (/.f64 (*.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) y) (+.f64 (pow.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)) 3) 1147673082894964476557575335949564252827623/30517578125000000000000000000000000000000)) (+.f64 (pow.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)) 2) (-.f64 10961722342634967150292985809/976562500000000000000000000 (*.f64 z (*.f64 (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))))))
62.1%
(+.f64 x (*.f64 y (/.f64 (-.f64 480125098611044764748221188321/100000000000000000000000000000000 (*.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z) (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))) (-.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)))))
58.8%
(+.f64 x (*.f64 y (-.f64 692910599291889/10000000000000000 (/.f64 (+.f64 (/.f64 4046220386999211718548694042263781576003973599/10000000000000000000000000000000000000000000000 z) -751220861604756070699018739433/10000000000000000000000000000000) z))))
67.0%
(+.f64 x (*.f64 y (-.f64 692910599291889/10000000000000000 (/.f64 -751220861604756070699018739433/10000000000000000000000000000000 z))))
57.7%
(+.f64 x (*.f64 y (+.f64 279195317918525/3350343815022304 (*.f64 z (-.f64 (*.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 z) 155900051080628738716045985239/56124018394291031809500087342080)))))
63.3%
(+.f64 x (*.f64 y (+.f64 279195317918525/3350343815022304 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z))))
56.1%
(+.f64 x (*.f64 y (+.f64 692910599291889/10000000000000000 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 21810887065466482153109263568915904549915271947668467379916697/10000000000000000000000000000000000000000000000000000000000000 (/.f64 1 z)) 4046220386999211718548694042263781576003973599/10000000000000000000000000000000000000000000000) z)) 751220861604756070699018739433/10000000000000000000000000000000) z)))))
29.8%
(*.f64 692910599291889/10000000000000000 y)
56.9%
x
Compiler

Compiled 658 to 501 computations (23.9% saved)

localize373.0ms (2.8%)

Localize:

Found 16 expressions with local error:

NewAccuracyProgram
99.6%
(*.f64 3350343815022304/279195317918525 (/.f64 1 y))
99.6%
(*.f64 155900051080628738716045985239/389750127738131234692690878125 (/.f64 1 y))
99.5%
(*.f64 -54926362148836417054593262229306108478309176/544082054113166395691471098236108147273828125 (/.f64 z y))
99.2%
(/.f64 1 (+.f64 (*.f64 z (+.f64 (*.f64 -54926362148836417054593262229306108478309176/544082054113166395691471098236108147273828125 (/.f64 z y)) (*.f64 155900051080628738716045985239/389750127738131234692690878125 (/.f64 1 y)))) (*.f64 3350343815022304/279195317918525 (/.f64 1 y))))
100.0%
(+.f64 (*.f64 155900051080628738716045985239/389750127738131234692690878125 (/.f64 z y)) (*.f64 3350343815022304/279195317918525 (/.f64 1 y)))
99.7%
(*.f64 155900051080628738716045985239/389750127738131234692690878125 (/.f64 z y))
99.6%
(*.f64 3350343815022304/279195317918525 (/.f64 1 y))
99.2%
(/.f64 1 (+.f64 (*.f64 155900051080628738716045985239/389750127738131234692690878125 (/.f64 z y)) (*.f64 3350343815022304/279195317918525 (/.f64 1 y))))
100.0%
(-.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z))
100.0%
(+.f64 x (/.f64 y (-.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z))))
99.8%
(/.f64 2504069538682520235663395798110/160041699537014921582740396107 z)
99.8%
(/.f64 y (-.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z)))
100.0%
(+.f64 (*.f64 279195317918525/3350343815022304 y) x)
99.7%
(*.f64 279195317918525/3350343815022304 y)
100.0%
(+.f64 (/.f64 y 10000000000000000/692910599291889) x)
99.8%
(/.f64 y 10000000000000000/692910599291889)
Compiler

Compiled 231 to 148 computations (35.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 189.0ms
Operation ival-div, time spent: 95.0ms, 50.0% of total-time
Operation ival-mult, time spent: 55.0ms, 29.0% of total-time
Operation ival-add, time spent: 27.0ms, 14.0% of total-time
Operation const, time spent: 9.0ms, 5.0% of total-time
Operation ival-sub, time spent: 4.0ms, 2.0% of total-time

series55.0ms (0.4%)

Counts
16 → 237
Calls
Call 1
Inputs
#<alt (/.f64 y 10000000000000000/692910599291889)>
#<alt (+.f64 (/.f64 y 10000000000000000/692910599291889) x)>
#<alt (*.f64 279195317918525/3350343815022304 y)>
#<alt (+.f64 (*.f64 279195317918525/3350343815022304 y) x)>
#<alt (/.f64 y (-.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z)))>
#<alt (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z)>
#<alt (+.f64 x (/.f64 y (-.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z))))>
#<alt (-.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z))>
#<alt (/.f64 1 (+.f64 (*.f64 155900051080628738716045985239/389750127738131234692690878125 (/.f64 z y)) (*.f64 3350343815022304/279195317918525 (/.f64 1 y))))>
#<alt (*.f64 3350343815022304/279195317918525 (/.f64 1 y))>
#<alt (*.f64 155900051080628738716045985239/389750127738131234692690878125 (/.f64 z y))>
#<alt (+.f64 (*.f64 155900051080628738716045985239/389750127738131234692690878125 (/.f64 z y)) (*.f64 3350343815022304/279195317918525 (/.f64 1 y)))>
#<alt (/.f64 1 (+.f64 (*.f64 z (+.f64 (*.f64 -54926362148836417054593262229306108478309176/544082054113166395691471098236108147273828125 (/.f64 z y)) (*.f64 155900051080628738716045985239/389750127738131234692690878125 (/.f64 1 y)))) (*.f64 3350343815022304/279195317918525 (/.f64 1 y))))>
#<alt (*.f64 -54926362148836417054593262229306108478309176/544082054113166395691471098236108147273828125 (/.f64 z y))>
#<alt (*.f64 155900051080628738716045985239/389750127738131234692690878125 (/.f64 1 y))>
#<alt (*.f64 3350343815022304/279195317918525 (/.f64 1 y))>
Outputs
#<alt (*.f64 692910599291889/10000000000000000 y)>
#<alt (*.f64 692910599291889/10000000000000000 y)>
#<alt (*.f64 692910599291889/10000000000000000 y)>
#<alt (*.f64 692910599291889/10000000000000000 y)>
#<alt (*.f64 692910599291889/10000000000000000 y)>
#<alt (*.f64 692910599291889/10000000000000000 y)>
#<alt (*.f64 692910599291889/10000000000000000 y)>
#<alt (*.f64 692910599291889/10000000000000000 y)>
#<alt (*.f64 692910599291889/10000000000000000 y)>
#<alt (*.f64 692910599291889/10000000000000000 y)>
#<alt (*.f64 692910599291889/10000000000000000 y)>
#<alt (*.f64 692910599291889/10000000000000000 y)>
#<alt x>
#<alt (+.f64 x (*.f64 692910599291889/10000000000000000 y))>
#<alt (+.f64 x (*.f64 692910599291889/10000000000000000 y))>
#<alt (+.f64 x (*.f64 692910599291889/10000000000000000 y))>
#<alt (*.f64 692910599291889/10000000000000000 y)>
#<alt (*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 x y)))>
#<alt (*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 x y)))>
#<alt (*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 x y)))>
#<alt (*.f64 692910599291889/10000000000000000 y)>
#<alt (*.f64 -1 (*.f64 y (-.f64 (*.f64 -1 (/.f64 x y)) 692910599291889/10000000000000000)))>
#<alt (*.f64 -1 (*.f64 y (-.f64 (*.f64 -1 (/.f64 x y)) 692910599291889/10000000000000000)))>
#<alt (*.f64 -1 (*.f64 y (-.f64 (*.f64 -1 (/.f64 x y)) 692910599291889/10000000000000000)))>
#<alt (*.f64 692910599291889/10000000000000000 y)>
#<alt (+.f64 x (*.f64 692910599291889/10000000000000000 y))>
#<alt (+.f64 x (*.f64 692910599291889/10000000000000000 y))>
#<alt (+.f64 x (*.f64 692910599291889/10000000000000000 y))>
#<alt x>
#<alt (*.f64 x (+.f64 1 (*.f64 692910599291889/10000000000000000 (/.f64 y x))))>
#<alt (*.f64 x (+.f64 1 (*.f64 692910599291889/10000000000000000 (/.f64 y x))))>
#<alt (*.f64 x (+.f64 1 (*.f64 692910599291889/10000000000000000 (/.f64 y x))))>
#<alt x>
#<alt (*.f64 -1 (*.f64 x (-.f64 (*.f64 -692910599291889/10000000000000000 (/.f64 y x)) 1)))>
#<alt (*.f64 -1 (*.f64 x (-.f64 (*.f64 -692910599291889/10000000000000000 (/.f64 y x)) 1)))>
#<alt (*.f64 -1 (*.f64 x (-.f64 (*.f64 -692910599291889/10000000000000000 (/.f64 y x)) 1)))>
#<alt x>
#<alt (+.f64 x (*.f64 279195317918525/3350343815022304 y))>
#<alt (+.f64 x (*.f64 279195317918525/3350343815022304 y))>
#<alt (+.f64 x (*.f64 279195317918525/3350343815022304 y))>
#<alt (*.f64 279195317918525/3350343815022304 y)>
#<alt (*.f64 y (+.f64 279195317918525/3350343815022304 (/.f64 x y)))>
#<alt (*.f64 y (+.f64 279195317918525/3350343815022304 (/.f64 x y)))>
#<alt (*.f64 y (+.f64 279195317918525/3350343815022304 (/.f64 x y)))>
#<alt (*.f64 279195317918525/3350343815022304 y)>
#<alt (*.f64 -1 (*.f64 y (-.f64 (*.f64 -1 (/.f64 x y)) 279195317918525/3350343815022304)))>
#<alt (*.f64 -1 (*.f64 y (-.f64 (*.f64 -1 (/.f64 x y)) 279195317918525/3350343815022304)))>
#<alt (*.f64 -1 (*.f64 y (-.f64 (*.f64 -1 (/.f64 x y)) 279195317918525/3350343815022304)))>
#<alt (*.f64 279195317918525/3350343815022304 y)>
#<alt (+.f64 x (*.f64 279195317918525/3350343815022304 y))>
#<alt (+.f64 x (*.f64 279195317918525/3350343815022304 y))>
#<alt (+.f64 x (*.f64 279195317918525/3350343815022304 y))>
#<alt x>
#<alt (*.f64 x (+.f64 1 (*.f64 279195317918525/3350343815022304 (/.f64 y x))))>
#<alt (*.f64 x (+.f64 1 (*.f64 279195317918525/3350343815022304 (/.f64 y x))))>
#<alt (*.f64 x (+.f64 1 (*.f64 279195317918525/3350343815022304 (/.f64 y x))))>
#<alt x>
#<alt (*.f64 -1 (*.f64 x (-.f64 (*.f64 -279195317918525/3350343815022304 (/.f64 y x)) 1)))>
#<alt (*.f64 -1 (*.f64 x (-.f64 (*.f64 -279195317918525/3350343815022304 (/.f64 y x)) 1)))>
#<alt (*.f64 -1 (*.f64 x (-.f64 (*.f64 -279195317918525/3350343815022304 (/.f64 y x)) 1)))>
#<alt (/.f64 y (-.f64 10000000000000000/692910599291889 (*.f64 2504069538682520235663395798110/160041699537014921582740396107 (/.f64 1 z))))>
#<alt (/.f64 y (-.f64 10000000000000000/692910599291889 (*.f64 2504069538682520235663395798110/160041699537014921582740396107 (/.f64 1 z))))>
#<alt (/.f64 y (-.f64 10000000000000000/692910599291889 (*.f64 2504069538682520235663395798110/160041699537014921582740396107 (/.f64 1 z))))>
#<alt (/.f64 y (-.f64 10000000000000000/692910599291889 (*.f64 2504069538682520235663395798110/160041699537014921582740396107 (/.f64 1 z))))>
#<alt (/.f64 y (-.f64 10000000000000000/692910599291889 (*.f64 2504069538682520235663395798110/160041699537014921582740396107 (/.f64 1 z))))>
#<alt (/.f64 y (-.f64 10000000000000000/692910599291889 (*.f64 2504069538682520235663395798110/160041699537014921582740396107 (/.f64 1 z))))>
#<alt (/.f64 y (-.f64 10000000000000000/692910599291889 (*.f64 2504069538682520235663395798110/160041699537014921582740396107 (/.f64 1 z))))>
#<alt (/.f64 y (-.f64 10000000000000000/692910599291889 (*.f64 2504069538682520235663395798110/160041699537014921582740396107 (/.f64 1 z))))>
#<alt (/.f64 y (-.f64 10000000000000000/692910599291889 (*.f64 2504069538682520235663395798110/160041699537014921582740396107 (/.f64 1 z))))>
#<alt (/.f64 y (-.f64 10000000000000000/692910599291889 (*.f64 2504069538682520235663395798110/160041699537014921582740396107 (/.f64 1 z))))>
#<alt (/.f64 y (-.f64 10000000000000000/692910599291889 (*.f64 2504069538682520235663395798110/160041699537014921582740396107 (/.f64 1 z))))>
#<alt (/.f64 y (-.f64 10000000000000000/692910599291889 (*.f64 2504069538682520235663395798110/160041699537014921582740396107 (/.f64 1 z))))>
#<alt (*.f64 -160041699537014921582740396107/2504069538682520235663395798110 (*.f64 y z))>
#<alt (*.f64 z (+.f64 (*.f64 -160041699537014921582740396107/2504069538682520235663395798110 y) (*.f64 -3696486331262848120733147479128771652409204100000000000000/62703642545576897068524151514589152838481934966500038795721 (*.f64 y z))))>
#<alt (*.f64 z (+.f64 (*.f64 -160041699537014921582740396107/2504069538682520235663395798110 y) (*.f64 z (-.f64 (*.f64 -853778186356538738843070338010378282780166478298108691848300000000000000000000000000000/15701428126281638947301330141368631288413274089051284127680697962118102326466829604788731 (*.f64 y z)) (*.f64 3696486331262848120733147479128771652409204100000000000000/62703642545576897068524151514589152838481934966500038795721 y)))))>
#<alt (*.f64 z (+.f64 (*.f64 -160041699537014921582740396107/2504069538682520235663395798110 y) (*.f64 z (-.f64 (*.f64 z (-.f64 (*.f64 -197197318256883782045293390284022880676435948793227669139889539362202812900000000000000000000000000000000000000000000/3931746788483481172165326344768108943805269958963204279358207328721937781874449924622341652328675000958198107967909841 (*.f64 y z)) (*.f64 853778186356538738843070338010378282780166478298108691848300000000000000000000000000000/15701428126281638947301330141368631288413274089051284127680697962118102326466829604788731 y))) (*.f64 3696486331262848120733147479128771652409204100000000000000/62703642545576897068524151514589152838481934966500038795721 y)))))>
#<alt (*.f64 692910599291889/10000000000000000 y)>
#<alt (+.f64 (*.f64 692910599291889/10000000000000000 y) (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)))>
#<alt (-.f64 (+.f64 (*.f64 692910599291889/10000000000000000 y) (*.f64 188110927636730691205572454543767458515445804899500116387163/2309701997639630000000000000000000000000000000000000000000000 (/.f64 y (pow.f64 z 2)))) (*.f64 -751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)))>
#<alt (-.f64 (+.f64 (*.f64 692910599291889/10000000000000000 y) (*.f64 47104284378844916841903990424105893865239822267153852383042093886354306979400488814366193/533472331790049738609134653690000000000000000000000000000000000000000000000000000000000000 (/.f64 y (pow.f64 z 3)))) (+.f64 (*.f64 -188110927636730691205572454543767458515445804899500116387163/2309701997639630000000000000000000000000000000000000000000000 (/.f64 y (pow.f64 z 2))) (*.f64 -751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z))))>
#<alt (*.f64 692910599291889/10000000000000000 y)>
#<alt (+.f64 (*.f64 692910599291889/10000000000000000 y) (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)))>
#<alt (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -188110927636730691205572454543767458515445804899500116387163/2309701997639630000000000000000000000000000000000000000000000 (/.f64 y z)) (*.f64 751220861604756070699018739433/10000000000000000000000000000000 y)) z)) (*.f64 692910599291889/10000000000000000 y))>
#<alt (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 47104284378844916841903990424105893865239822267153852383042093886354306979400488814366193/533472331790049738609134653690000000000000000000000000000000000000000000000000000000000000 (/.f64 y z)) (*.f64 -188110927636730691205572454543767458515445804899500116387163/2309701997639630000000000000000000000000000000000000000000000 y)) z)) (*.f64 751220861604756070699018739433/10000000000000000000000000000000 y)) z)) (*.f64 692910599291889/10000000000000000 y))>
#<alt (/.f64 y (-.f64 10000000000000000/692910599291889 (*.f64 2504069538682520235663395798110/160041699537014921582740396107 (/.f64 1 z))))>
#<alt (+.f64 x (/.f64 y (-.f64 10000000000000000/692910599291889 (*.f64 2504069538682520235663395798110/160041699537014921582740396107 (/.f64 1 z)))))>
#<alt (+.f64 x (/.f64 y (-.f64 10000000000000000/692910599291889 (*.f64 2504069538682520235663395798110/160041699537014921582740396107 (/.f64 1 z)))))>
#<alt (+.f64 x (/.f64 y (-.f64 10000000000000000/692910599291889 (*.f64 2504069538682520235663395798110/160041699537014921582740396107 (/.f64 1 z)))))>
#<alt x>
#<alt (*.f64 x (+.f64 1 (/.f64 y (*.f64 x (-.f64 10000000000000000/692910599291889 (*.f64 2504069538682520235663395798110/160041699537014921582740396107 (/.f64 1 z)))))))>
#<alt (*.f64 x (+.f64 1 (/.f64 y (*.f64 x (-.f64 10000000000000000/692910599291889 (*.f64 2504069538682520235663395798110/160041699537014921582740396107 (/.f64 1 z)))))))>
#<alt (*.f64 x (+.f64 1 (/.f64 y (*.f64 x (-.f64 10000000000000000/692910599291889 (*.f64 2504069538682520235663395798110/160041699537014921582740396107 (/.f64 1 z)))))))>
#<alt x>
#<alt (*.f64 -1 (*.f64 x (-.f64 (*.f64 -1 (/.f64 y (*.f64 x (-.f64 10000000000000000/692910599291889 (*.f64 2504069538682520235663395798110/160041699537014921582740396107 (/.f64 1 z)))))) 1)))>
#<alt (*.f64 -1 (*.f64 x (-.f64 (*.f64 -1 (/.f64 y (*.f64 x (-.f64 10000000000000000/692910599291889 (*.f64 2504069538682520235663395798110/160041699537014921582740396107 (/.f64 1 z)))))) 1)))>
#<alt (*.f64 -1 (*.f64 x (-.f64 (*.f64 -1 (/.f64 y (*.f64 x (-.f64 10000000000000000/692910599291889 (*.f64 2504069538682520235663395798110/160041699537014921582740396107 (/.f64 1 z)))))) 1)))>
#<alt x>
#<alt (+.f64 x (/.f64 y (-.f64 10000000000000000/692910599291889 (*.f64 2504069538682520235663395798110/160041699537014921582740396107 (/.f64 1 z)))))>
#<alt (+.f64 x (/.f64 y (-.f64 10000000000000000/692910599291889 (*.f64 2504069538682520235663395798110/160041699537014921582740396107 (/.f64 1 z)))))>
#<alt (+.f64 x (/.f64 y (-.f64 10000000000000000/692910599291889 (*.f64 2504069538682520235663395798110/160041699537014921582740396107 (/.f64 1 z)))))>
#<alt (/.f64 y (-.f64 10000000000000000/692910599291889 (*.f64 2504069538682520235663395798110/160041699537014921582740396107 (/.f64 1 z))))>
#<alt (*.f64 y (+.f64 (/.f64 1 (-.f64 10000000000000000/692910599291889 (*.f64 2504069538682520235663395798110/160041699537014921582740396107 (/.f64 1 z)))) (/.f64 x y)))>
#<alt (*.f64 y (+.f64 (/.f64 1 (-.f64 10000000000000000/692910599291889 (*.f64 2504069538682520235663395798110/160041699537014921582740396107 (/.f64 1 z)))) (/.f64 x y)))>
#<alt (*.f64 y (+.f64 (/.f64 1 (-.f64 10000000000000000/692910599291889 (*.f64 2504069538682520235663395798110/160041699537014921582740396107 (/.f64 1 z)))) (/.f64 x y)))>
#<alt (/.f64 y (-.f64 10000000000000000/692910599291889 (*.f64 2504069538682520235663395798110/160041699537014921582740396107 (/.f64 1 z))))>
#<alt (*.f64 -1 (*.f64 y (-.f64 (*.f64 -1 (/.f64 x y)) (/.f64 1 (-.f64 10000000000000000/692910599291889 (*.f64 2504069538682520235663395798110/160041699537014921582740396107 (/.f64 1 z)))))))>
#<alt (*.f64 -1 (*.f64 y (-.f64 (*.f64 -1 (/.f64 x y)) (/.f64 1 (-.f64 10000000000000000/692910599291889 (*.f64 2504069538682520235663395798110/160041699537014921582740396107 (/.f64 1 z)))))))>
#<alt (*.f64 -1 (*.f64 y (-.f64 (*.f64 -1 (/.f64 x y)) (/.f64 1 (-.f64 10000000000000000/692910599291889 (*.f64 2504069538682520235663395798110/160041699537014921582740396107 (/.f64 1 z)))))))>
#<alt x>
#<alt (+.f64 x (*.f64 -160041699537014921582740396107/2504069538682520235663395798110 (*.f64 y z)))>
#<alt (+.f64 x (*.f64 z (+.f64 (*.f64 -160041699537014921582740396107/2504069538682520235663395798110 y) (*.f64 -3696486331262848120733147479128771652409204100000000000000/62703642545576897068524151514589152838481934966500038795721 (*.f64 y z)))))>
#<alt (+.f64 x (*.f64 z (+.f64 (*.f64 -160041699537014921582740396107/2504069538682520235663395798110 y) (*.f64 z (-.f64 (*.f64 -853778186356538738843070338010378282780166478298108691848300000000000000000000000000000/15701428126281638947301330141368631288413274089051284127680697962118102326466829604788731 (*.f64 y z)) (*.f64 3696486331262848120733147479128771652409204100000000000000/62703642545576897068524151514589152838481934966500038795721 y))))))>
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#<alt (/.f64 (+.f64 (*.f64 -544082054113166395691471098236108147273828125/54926362148836417054593262229306108478309176 y) (*.f64 -1 (/.f64 (-.f64 (+.f64 (*.f64 25769926921039140707621066116446730331590254820696212010880808545864803000811900941919959781448924805066159456220149005437139892578125/165707630819352256005494416392285951240250952560796812500333015187666438505374460256292362615415864248134752859864423714027272203776 (/.f64 y z)) (*.f64 111009480603001079798528053119773519912310004006920137612732664042588284127718182373046875/94278289340785308312481425299512772945777791965091403669361990944072480227302620181218 (/.f64 y z))) (*.f64 -118410112632093890925216779790989055085468458991835393365927013997070430991638236279296875/3016905258905129865999405609584408734264889342882924917419583710210319367273683845798976 y)) z))) (pow.f64 z 2))>
#<alt (/.f64 (+.f64 (*.f64 -544082054113166395691471098236108147273828125/54926362148836417054593262229306108478309176 y) (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 (-.f64 (+.f64 (*.f64 -24159306490740417402262491217732652704931320085669263633364978284658628339571700203805183550960353066115880114320472405512237548828125/5178363463104758000171700512258935976257842267524900390635406724614576203292951883009136331731745757754211026870763241063352256368 (/.f64 y z)) (*.f64 -217632821624852138419855720322680321773262375/54926362148836417054593262229306108478309176 (/.f64 (+.f64 (*.f64 25769926921039140707621066116446730331590254820696212010880808545864803000811900941919959781448924805066159456220149005437139892578125/165707630819352256005494416392285951240250952560796812500333015187666438505374460256292362615415864248134752859864423714027272203776 y) (*.f64 111009480603001079798528053119773519912310004006920137612732664042588284127718182373046875/94278289340785308312481425299512772945777791965091403669361990944072480227302620181218 y)) z))) (+.f64 (*.f64 25769926921039140707621066116446730331590254820696212010880808545864803000811900941919959781448924805066159456220149005437139892578125/165707630819352256005494416392285951240250952560796812500333015187666438505374460256292362615415864248134752859864423714027272203776 y) (*.f64 111009480603001079798528053119773519912310004006920137612732664042588284127718182373046875/94278289340785308312481425299512772945777791965091403669361990944072480227302620181218 y))) z)) (*.f64 -118410112632093890925216779790989055085468458991835393365927013997070430991638236279296875/3016905258905129865999405609584408734264889342882924917419583710210319367273683845798976 y)) z))) (pow.f64 z 2))>
#<alt (/.f64 y (+.f64 3350343815022304/279195317918525 (*.f64 z (+.f64 155900051080628738716045985239/389750127738131234692690878125 (*.f64 -54926362148836417054593262229306108478309176/544082054113166395691471098236108147273828125 z)))))>
#<alt (/.f64 y (+.f64 3350343815022304/279195317918525 (*.f64 z (+.f64 155900051080628738716045985239/389750127738131234692690878125 (*.f64 -54926362148836417054593262229306108478309176/544082054113166395691471098236108147273828125 z)))))>
#<alt (/.f64 y (+.f64 3350343815022304/279195317918525 (*.f64 z (+.f64 155900051080628738716045985239/389750127738131234692690878125 (*.f64 -54926362148836417054593262229306108478309176/544082054113166395691471098236108147273828125 z)))))>
#<alt (/.f64 y (+.f64 3350343815022304/279195317918525 (*.f64 z (+.f64 155900051080628738716045985239/389750127738131234692690878125 (*.f64 -54926362148836417054593262229306108478309176/544082054113166395691471098236108147273828125 z)))))>
#<alt (/.f64 y (+.f64 3350343815022304/279195317918525 (*.f64 z (+.f64 155900051080628738716045985239/389750127738131234692690878125 (*.f64 -54926362148836417054593262229306108478309176/544082054113166395691471098236108147273828125 z)))))>
#<alt (/.f64 y (+.f64 3350343815022304/279195317918525 (*.f64 z (+.f64 155900051080628738716045985239/389750127738131234692690878125 (*.f64 -54926362148836417054593262229306108478309176/544082054113166395691471098236108147273828125 z)))))>
#<alt (/.f64 y (+.f64 3350343815022304/279195317918525 (*.f64 z (+.f64 155900051080628738716045985239/389750127738131234692690878125 (*.f64 -54926362148836417054593262229306108478309176/544082054113166395691471098236108147273828125 z)))))>
#<alt (/.f64 y (+.f64 3350343815022304/279195317918525 (*.f64 z (+.f64 155900051080628738716045985239/389750127738131234692690878125 (*.f64 -54926362148836417054593262229306108478309176/544082054113166395691471098236108147273828125 z)))))>
#<alt (*.f64 -1 (/.f64 y (-.f64 (*.f64 z (-.f64 (*.f64 54926362148836417054593262229306108478309176/544082054113166395691471098236108147273828125 z) 155900051080628738716045985239/389750127738131234692690878125)) 3350343815022304/279195317918525)))>
#<alt (*.f64 -1 (/.f64 y (-.f64 (*.f64 z (-.f64 (*.f64 54926362148836417054593262229306108478309176/544082054113166395691471098236108147273828125 z) 155900051080628738716045985239/389750127738131234692690878125)) 3350343815022304/279195317918525)))>
#<alt (*.f64 -1 (/.f64 y (-.f64 (*.f64 z (-.f64 (*.f64 54926362148836417054593262229306108478309176/544082054113166395691471098236108147273828125 z) 155900051080628738716045985239/389750127738131234692690878125)) 3350343815022304/279195317918525)))>
#<alt (*.f64 -1 (/.f64 y (-.f64 (*.f64 z (-.f64 (*.f64 54926362148836417054593262229306108478309176/544082054113166395691471098236108147273828125 z) 155900051080628738716045985239/389750127738131234692690878125)) 3350343815022304/279195317918525)))>
#<alt (/.f64 155900051080628738716045985239/389750127738131234692690878125 y)>
#<alt (/.f64 155900051080628738716045985239/389750127738131234692690878125 y)>
#<alt (/.f64 155900051080628738716045985239/389750127738131234692690878125 y)>
#<alt (/.f64 155900051080628738716045985239/389750127738131234692690878125 y)>
#<alt (/.f64 155900051080628738716045985239/389750127738131234692690878125 y)>
#<alt (/.f64 155900051080628738716045985239/389750127738131234692690878125 y)>
#<alt (/.f64 155900051080628738716045985239/389750127738131234692690878125 y)>
#<alt (/.f64 155900051080628738716045985239/389750127738131234692690878125 y)>
#<alt (/.f64 155900051080628738716045985239/389750127738131234692690878125 y)>
#<alt (/.f64 155900051080628738716045985239/389750127738131234692690878125 y)>
#<alt (/.f64 155900051080628738716045985239/389750127738131234692690878125 y)>
#<alt (/.f64 155900051080628738716045985239/389750127738131234692690878125 y)>
#<alt (/.f64 3350343815022304/279195317918525 y)>
#<alt (/.f64 3350343815022304/279195317918525 y)>
#<alt (/.f64 3350343815022304/279195317918525 y)>
#<alt (/.f64 3350343815022304/279195317918525 y)>
#<alt (/.f64 3350343815022304/279195317918525 y)>
#<alt (/.f64 3350343815022304/279195317918525 y)>
#<alt (/.f64 3350343815022304/279195317918525 y)>
#<alt (/.f64 3350343815022304/279195317918525 y)>
#<alt (/.f64 3350343815022304/279195317918525 y)>
#<alt (/.f64 3350343815022304/279195317918525 y)>
#<alt (/.f64 3350343815022304/279195317918525 y)>
#<alt (/.f64 3350343815022304/279195317918525 y)>
Calls

78 calls:

TimeVariablePointExpression
11.0ms
y
@0
(+ (* 279195317918525/3350343815022304 y) x)
4.0ms
z
@-inf
(/ 1 (+ (* z (+ (* -54926362148836417054593262229306108478309176/544082054113166395691471098236108147273828125 (/ z y)) (* 155900051080628738716045985239/389750127738131234692690878125 (/ 1 y)))) (* 3350343815022304/279195317918525 (/ 1 y))))
3.0ms
z
@-inf
(/ 1 (+ (* 155900051080628738716045985239/389750127738131234692690878125 (/ z y)) (* 3350343815022304/279195317918525 (/ 1 y))))
2.0ms
y
@-inf
(/ 1 (+ (* z (+ (* -54926362148836417054593262229306108478309176/544082054113166395691471098236108147273828125 (/ z y)) (* 155900051080628738716045985239/389750127738131234692690878125 (/ 1 y)))) (* 3350343815022304/279195317918525 (/ 1 y))))
2.0ms
y
@0
(/ 1 (+ (* z (+ (* -54926362148836417054593262229306108478309176/544082054113166395691471098236108147273828125 (/ z y)) (* 155900051080628738716045985239/389750127738131234692690878125 (/ 1 y)))) (* 3350343815022304/279195317918525 (/ 1 y))))

rewrite206.0ms (1.6%)

Algorithm
batch-egg-rewrite
Rules
280×log1p-expm1-u
280×expm1-log1p-u
274×add-cube-cbrt
272×add-exp-log
272×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
036329
1603325
Stop Event
node limit
Counts
16 → 379
Calls
Call 1
Inputs
(/.f64 y 10000000000000000/692910599291889)
(+.f64 (/.f64 y 10000000000000000/692910599291889) x)
(*.f64 279195317918525/3350343815022304 y)
(+.f64 (*.f64 279195317918525/3350343815022304 y) x)
(/.f64 y (-.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z)))
(/.f64 2504069538682520235663395798110/160041699537014921582740396107 z)
(+.f64 x (/.f64 y (-.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z))))
(-.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z))
(/.f64 1 (+.f64 (*.f64 155900051080628738716045985239/389750127738131234692690878125 (/.f64 z y)) (*.f64 3350343815022304/279195317918525 (/.f64 1 y))))
(*.f64 3350343815022304/279195317918525 (/.f64 1 y))
(*.f64 155900051080628738716045985239/389750127738131234692690878125 (/.f64 z y))
(+.f64 (*.f64 155900051080628738716045985239/389750127738131234692690878125 (/.f64 z y)) (*.f64 3350343815022304/279195317918525 (/.f64 1 y)))
(/.f64 1 (+.f64 (*.f64 z (+.f64 (*.f64 -54926362148836417054593262229306108478309176/544082054113166395691471098236108147273828125 (/.f64 z y)) (*.f64 155900051080628738716045985239/389750127738131234692690878125 (/.f64 1 y)))) (*.f64 3350343815022304/279195317918525 (/.f64 1 y))))
(*.f64 -54926362148836417054593262229306108478309176/544082054113166395691471098236108147273828125 (/.f64 z y))
(*.f64 155900051080628738716045985239/389750127738131234692690878125 (/.f64 1 y))
(*.f64 3350343815022304/279195317918525 (/.f64 1 y))
Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 y 692910599291889/10000000000000000))) 1)
(*.f64 y 692910599291889/10000000000000000)
(*.f64 1 (*.f64 y 692910599291889/10000000000000000))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 y 2) 480125098611044764748221188321/100000000000000000000000000000000)) (cbrt.f64 (*.f64 y 692910599291889/10000000000000000)))
(*.f64 (sqrt.f64 (*.f64 y 692910599291889/10000000000000000)) (sqrt.f64 (*.f64 y 692910599291889/10000000000000000)))
(*.f64 (neg.f64 y) -692910599291889/10000000000000000)
(pow.f64 (*.f64 y 692910599291889/10000000000000000) 1)
(pow.f64 (cbrt.f64 (*.f64 y 692910599291889/10000000000000000)) 3)
(pow.f64 (*.f64 (pow.f64 y 3) 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000) 1/3)
(pow.f64 (sqrt.f64 (*.f64 y 692910599291889/10000000000000000)) 2)
(pow.f64 (/.f64 10000000000000000/692910599291889 y) -1)
(neg.f64 (/.f64 y -10000000000000000/692910599291889))
(sqrt.f64 (*.f64 (pow.f64 y 2) 480125098611044764748221188321/100000000000000000000000000000000))
(log.f64 (pow.f64 (exp.f64 y) 692910599291889/10000000000000000))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 y 692910599291889/10000000000000000))))
(cbrt.f64 (*.f64 (pow.f64 y 3) 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000))
(expm1.f64 (log1p.f64 (*.f64 y 692910599291889/10000000000000000)))
(log1p.f64 (expm1.f64 (*.f64 y 692910599291889/10000000000000000)))
(exp.f64 (log.f64 (*.f64 y 692910599291889/10000000000000000)))
(exp.f64 (*.f64 (log.f64 (*.f64 y 692910599291889/10000000000000000)) 1))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 y 692910599291889/10000000000000000 x))) 1)
(-.f64 (/.f64 (*.f64 (pow.f64 y 2) 480125098611044764748221188321/100000000000000000000000000000000) (-.f64 (*.f64 y 692910599291889/10000000000000000) x)) (/.f64 (pow.f64 x 2) (-.f64 (*.f64 y 692910599291889/10000000000000000) x)))
(*.f64 1 (fma.f64 y 692910599291889/10000000000000000 x))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 y 692910599291889/10000000000000000 x) 2)) (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)))
(*.f64 (sqrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)) (sqrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)))
(*.f64 (+.f64 (*.f64 (pow.f64 y 3) 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000) (pow.f64 x 3)) (/.f64 1 (+.f64 (*.f64 (pow.f64 y 2) 480125098611044764748221188321/100000000000000000000000000000000) (-.f64 (pow.f64 x 2) (*.f64 (*.f64 y 692910599291889/10000000000000000) x)))))
(*.f64 (-.f64 (*.f64 (pow.f64 y 2) 480125098611044764748221188321/100000000000000000000000000000000) (pow.f64 x 2)) (/.f64 1 (-.f64 (*.f64 y 692910599291889/10000000000000000) x)))
(/.f64 1 (/.f64 (+.f64 (*.f64 (pow.f64 y 2) 480125098611044764748221188321/100000000000000000000000000000000) (-.f64 (pow.f64 x 2) (*.f64 (*.f64 y 692910599291889/10000000000000000) x))) (+.f64 (*.f64 (pow.f64 y 3) 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000) (pow.f64 x 3))))
(/.f64 1 (/.f64 (-.f64 (*.f64 y 692910599291889/10000000000000000) x) (-.f64 (*.f64 (pow.f64 y 2) 480125098611044764748221188321/100000000000000000000000000000000) (pow.f64 x 2))))
(/.f64 (+.f64 (*.f64 (pow.f64 y 3) 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000) (pow.f64 x 3)) (+.f64 (*.f64 (pow.f64 y 2) 480125098611044764748221188321/100000000000000000000000000000000) (-.f64 (pow.f64 x 2) (*.f64 (*.f64 y 692910599291889/10000000000000000) x))))
(/.f64 (-.f64 (*.f64 (pow.f64 y 2) 480125098611044764748221188321/100000000000000000000000000000000) (pow.f64 x 2)) (-.f64 (*.f64 y 692910599291889/10000000000000000) x))
(/.f64 (neg.f64 (+.f64 (*.f64 (pow.f64 y 3) 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000) (pow.f64 x 3))) (neg.f64 (+.f64 (*.f64 (pow.f64 y 2) 480125098611044764748221188321/100000000000000000000000000000000) (-.f64 (pow.f64 x 2) (*.f64 (*.f64 y 692910599291889/10000000000000000) x)))))
(/.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 y 2) 480125098611044764748221188321/100000000000000000000000000000000) (pow.f64 x 2))) (neg.f64 (-.f64 (*.f64 y 692910599291889/10000000000000000) x)))
(/.f64 (+.f64 (pow.f64 x 3) (*.f64 (pow.f64 y 3) 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000)) (+.f64 (pow.f64 x 2) (-.f64 (*.f64 (pow.f64 y 2) 480125098611044764748221188321/100000000000000000000000000000000) (*.f64 x (*.f64 y 692910599291889/10000000000000000)))))
(/.f64 (-.f64 (pow.f64 x 2) (*.f64 (pow.f64 y 2) 480125098611044764748221188321/100000000000000000000000000000000)) (-.f64 x (*.f64 y 692910599291889/10000000000000000)))
(pow.f64 (fma.f64 y 692910599291889/10000000000000000 x) 1)
(pow.f64 (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)) 3)
(pow.f64 (pow.f64 (fma.f64 y 692910599291889/10000000000000000 x) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)) 2)
(sqrt.f64 (pow.f64 (fma.f64 y 692910599291889/10000000000000000 x) 2))
(log.f64 (exp.f64 (fma.f64 y 692910599291889/10000000000000000 x)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 y 692910599291889/10000000000000000 x))))
(cbrt.f64 (pow.f64 (fma.f64 y 692910599291889/10000000000000000 x) 3))
(expm1.f64 (log1p.f64 (fma.f64 y 692910599291889/10000000000000000 x)))
(log1p.f64 (expm1.f64 (fma.f64 y 692910599291889/10000000000000000 x)))
(exp.f64 (log.f64 (fma.f64 y 692910599291889/10000000000000000 x)))
(exp.f64 (*.f64 (log.f64 (fma.f64 y 692910599291889/10000000000000000 x)) 1))
(fma.f64 y 692910599291889/10000000000000000 x)
(fma.f64 1 (*.f64 y 692910599291889/10000000000000000) x)
(fma.f64 1 x (*.f64 y 692910599291889/10000000000000000))
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 y 2) 480125098611044764748221188321/100000000000000000000000000000000)) (cbrt.f64 (*.f64 y 692910599291889/10000000000000000)) x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 y 692910599291889/10000000000000000))
(fma.f64 (sqrt.f64 (*.f64 y 692910599291889/10000000000000000)) (sqrt.f64 (*.f64 y 692910599291889/10000000000000000)) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 y 692910599291889/10000000000000000))
(-.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 (*.f64 (pow.f64 y 2) 77950025547626246938538175625/11224803678858206361900017468416))
(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)))
(log1p.f64 (expm1.f64 (*.f64 y 279195317918525/3350343815022304)))
(exp.f64 (log.f64 (*.f64 y 279195317918525/3350343815022304)))
(exp.f64 (*.f64 (log.f64 (*.f64 y 279195317918525/3350343815022304)) 1))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 y 279195317918525/3350343815022304 x))) 1)
(-.f64 (/.f64 (*.f64 (pow.f64 y 2) 77950025547626246938538175625/11224803678858206361900017468416) (-.f64 (*.f64 y 279195317918525/3350343815022304) x)) (/.f64 (pow.f64 x 2) (-.f64 (*.f64 y 279195317918525/3350343815022304) x)))
(*.f64 1 (fma.f64 y 279195317918525/3350343815022304 x))
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simplify481.0ms (3.6%)

Algorithm
egg-herbie
Rules
1756×fma-neg
852×fma-define
650×*-commutative
566×associate-*r*
460×associate-*l*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0107419629
1258918607
2781318603
Stop Event
node limit
Counts
616 → 642
Calls
Call 1
Inputs
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(expm1.f64 (log1p.f64 (/.f64 155900051080628738716045985239/389750127738131234692690878125 y)))
(log1p.f64 (expm1.f64 (/.f64 155900051080628738716045985239/389750127738131234692690878125 y)))
(exp.f64 (log.f64 (/.f64 155900051080628738716045985239/389750127738131234692690878125 y)))
(exp.f64 (*.f64 (log.f64 (/.f64 155900051080628738716045985239/389750127738131234692690878125 y)) 1))
(-.f64 (exp.f64 (log1p.f64 (/.f64 3350343815022304/279195317918525 y))) 1)
(/.f64 1 (/.f64 y 3350343815022304/279195317918525))
(/.f64 3350343815022304/279195317918525 y)
(/.f64 -3350343815022304/279195317918525 (neg.f64 y))
(pow.f64 (/.f64 3350343815022304/279195317918525 y) 1)
(pow.f64 (cbrt.f64 (/.f64 3350343815022304/279195317918525 y)) 3)
(pow.f64 (sqrt.f64 (/.f64 3350343815022304/279195317918525 y)) 2)
(pow.f64 (pow.f64 (/.f64 3350343815022304/279195317918525 y) 3) 1/3)
(sqrt.f64 (/.f64 11224803678858206361900017468416/77950025547626246938538175625 (pow.f64 y 2)))
(log.f64 (exp.f64 (/.f64 3350343815022304/279195317918525 y)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 3350343815022304/279195317918525 y))))
(cbrt.f64 (pow.f64 (/.f64 3350343815022304/279195317918525 y) 3))
(expm1.f64 (log1p.f64 (/.f64 3350343815022304/279195317918525 y)))
(log1p.f64 (expm1.f64 (/.f64 3350343815022304/279195317918525 y)))
(exp.f64 (log.f64 (/.f64 3350343815022304/279195317918525 y)))
(exp.f64 (*.f64 (log.f64 (/.f64 3350343815022304/279195317918525 y)) 1))
Outputs
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(*.f64 692910599291889/10000000000000000 y)
(*.f64 692910599291889/10000000000000000 y)
(*.f64 692910599291889/10000000000000000 y)
(*.f64 692910599291889/10000000000000000 y)
(*.f64 692910599291889/10000000000000000 y)
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(*.f64 692910599291889/10000000000000000 y)
(*.f64 692910599291889/10000000000000000 y)
(*.f64 692910599291889/10000000000000000 y)
(*.f64 692910599291889/10000000000000000 y)
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(expm1.f64 (log1p.f64 (/.f64 3350343815022304/279195317918525 y)))
(/.f64 1 (/.f64 y 3350343815022304/279195317918525))
(/.f64 3350343815022304/279195317918525 y)
(/.f64 3350343815022304/279195317918525 y)
(/.f64 -3350343815022304/279195317918525 (neg.f64 y))
(/.f64 3350343815022304/279195317918525 y)
(pow.f64 (/.f64 3350343815022304/279195317918525 y) 1)
(/.f64 3350343815022304/279195317918525 y)
(pow.f64 (cbrt.f64 (/.f64 3350343815022304/279195317918525 y)) 3)
(/.f64 3350343815022304/279195317918525 y)
(pow.f64 (sqrt.f64 (/.f64 3350343815022304/279195317918525 y)) 2)
(/.f64 3350343815022304/279195317918525 y)
(pow.f64 (pow.f64 (/.f64 3350343815022304/279195317918525 y) 3) 1/3)
(/.f64 3350343815022304/279195317918525 y)
(sqrt.f64 (/.f64 11224803678858206361900017468416/77950025547626246938538175625 (pow.f64 y 2)))
(log.f64 (exp.f64 (/.f64 3350343815022304/279195317918525 y)))
(/.f64 3350343815022304/279195317918525 y)
(log.f64 (+.f64 1 (expm1.f64 (/.f64 3350343815022304/279195317918525 y))))
(/.f64 3350343815022304/279195317918525 y)
(cbrt.f64 (pow.f64 (/.f64 3350343815022304/279195317918525 y) 3))
(/.f64 3350343815022304/279195317918525 y)
(expm1.f64 (log1p.f64 (/.f64 3350343815022304/279195317918525 y)))
(log1p.f64 (expm1.f64 (/.f64 3350343815022304/279195317918525 y)))
(/.f64 3350343815022304/279195317918525 y)
(exp.f64 (log.f64 (/.f64 3350343815022304/279195317918525 y)))
(/.f64 3350343815022304/279195317918525 y)
(exp.f64 (*.f64 (log.f64 (/.f64 3350343815022304/279195317918525 y)) 1))
(/.f64 3350343815022304/279195317918525 y)

eval271.0ms (2%)

Compiler

Compiled 11072 to 7651 computations (30.9% saved)

prune146.0ms (1.1%)

Pruning

17 alts after pruning (8 fresh and 9 done)

PrunedKeptTotal
New6544658
Fresh6410
Picked235
Done066
Total66217679
Accuracy
100.0%
Counts
679 → 17
Alt Table
Click to see full alt table
StatusAccuracyProgram
84.4%
(+.f64 (/.f64 y 10000000000000000/692910599291889) x)
79.3%
(+.f64 (*.f64 279195317918525/3350343815022304 y) x)
84.3%
(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
68.9%
(+.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)))
45.3%
(+.f64 x (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (exp.f64 (log.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)))) 104698244219447/31250000000000)))
81.5%
(+.f64 x (/.f64 y (/.f64 (-.f64 (*.f64 10000000000000000/692910599291889 z) 2504069538682520235663395798110/160041699537014921582740396107) z)))
81.6%
(+.f64 x (/.f64 y (-.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z))))
74.9%
(+.f64 x (/.f64 y (+.f64 3350343815022304/279195317918525 (*.f64 z (+.f64 155900051080628738716045985239/389750127738131234692690878125 (*.f64 z -54926362148836417054593262229306108478309176/544082054113166395691471098236108147273828125))))))
75.1%
(+.f64 x (/.f64 y (+.f64 3350343815022304/279195317918525 (*.f64 z 155900051080628738716045985239/389750127738131234692690878125))))
79.3%
(+.f64 x (/.f64 1 (/.f64 3350343815022304/279195317918525 y)))
62.1%
(+.f64 x (*.f64 y (/.f64 (-.f64 480125098611044764748221188321/100000000000000000000000000000000 (*.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z) (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))) (-.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)))))
58.8%
(+.f64 x (*.f64 y (-.f64 692910599291889/10000000000000000 (/.f64 (+.f64 (/.f64 4046220386999211718548694042263781576003973599/10000000000000000000000000000000000000000000000 z) -751220861604756070699018739433/10000000000000000000000000000000) z))))
67.0%
(+.f64 x (*.f64 y (-.f64 692910599291889/10000000000000000 (/.f64 -751220861604756070699018739433/10000000000000000000000000000000 z))))
56.1%
(+.f64 x (*.f64 y (+.f64 692910599291889/10000000000000000 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 21810887065466482153109263568915904549915271947668467379916697/10000000000000000000000000000000000000000000000000000000000000 (/.f64 1 z)) 4046220386999211718548694042263781576003973599/10000000000000000000000000000000000000000000000) z)) 751220861604756070699018739433/10000000000000000000000000000000) z)))))
24.9%
(*.f64 y 279195317918525/3350343815022304)
29.8%
(*.f64 692910599291889/10000000000000000 y)
56.9%
x
Compiler

Compiled 875 to 629 computations (28.1% saved)

regimes268.0ms (2%)

Counts
43 → 2
Calls
Call 1
Inputs
x
(*.f64 692910599291889/10000000000000000 y)
(*.f64 y 279195317918525/3350343815022304)
(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
(+.f64 (*.f64 279195317918525/3350343815022304 y) x)
(+.f64 (/.f64 y 10000000000000000/692910599291889) x)
(+.f64 x (/.f64 1 (/.f64 3350343815022304/279195317918525 y)))
(+.f64 x (/.f64 1 (/.f64 10000000000000000/692910599291889 y)))
(*.f64 x (+.f64 1 (*.f64 692910599291889/10000000000000000 (/.f64 y x))))
(+.f64 x (*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))))
(+.f64 x (*.f64 y (+.f64 279195317918525/3350343815022304 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z))))
(+.f64 x (*.f64 y (-.f64 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 x (/.f64 y (/.f64 (-.f64 (*.f64 10000000000000000/692910599291889 z) 2504069538682520235663395798110/160041699537014921582740396107) z)))
(+.f64 x (*.f64 y (+.f64 279195317918525/3350343815022304 (*.f64 z (-.f64 (*.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 z) 155900051080628738716045985239/56124018394291031809500087342080)))))
(+.f64 x (*.f64 y (-.f64 692910599291889/10000000000000000 (/.f64 (+.f64 (/.f64 4046220386999211718548694042263781576003973599/10000000000000000000000000000000000000000000000 z) -751220861604756070699018739433/10000000000000000000000000000000) z))))
(+.f64 x (/.f64 1 (-.f64 (/.f64 10000000000000000/692910599291889 y) (/.f64 2504069538682520235663395798110/160041699537014921582740396107 (*.f64 y z)))))
(+.f64 x (/.f64 y (+.f64 3350343815022304/279195317918525 (*.f64 z (+.f64 155900051080628738716045985239/389750127738131234692690878125 (*.f64 z -54926362148836417054593262229306108478309176/544082054113166395691471098236108147273828125))))))
(+.f64 x (+.f64 (*.f64 279195317918525/3350343815022304 y) (*.f64 z (-.f64 (*.f64 307332350656623/2093964884388940 y) (*.f64 1678650474502018223880473708075/11224803678858206361900017468416 y)))))
(+.f64 x (/.f64 1 (+.f64 (*.f64 155900051080628738716045985239/389750127738131234692690878125 (/.f64 z y)) (*.f64 3350343815022304/279195317918525 (/.f64 1 y)))))
(+.f64 x (/.f64 1 (-.f64 (*.f64 10000000000000000/692910599291889 (/.f64 1 y)) (*.f64 2504069538682520235663395798110/160041699537014921582740396107 (/.f64 1 (*.f64 y z))))))
(+.f64 x (*.f64 y (/.f64 (-.f64 480125098611044764748221188321/100000000000000000000000000000000 (*.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z) (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))) (-.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)))))
(+.f64 x (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
(+.f64 x (*.f64 y (+.f64 692910599291889/10000000000000000 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 21810887065466482153109263568915904549915271947668467379916697/10000000000000000000000000000000000000000000000000000000000000 (/.f64 1 z)) 4046220386999211718548694042263781576003973599/10000000000000000000000000000000000000000000000) z)) 751220861604756070699018739433/10000000000000000000000000000000) z)))))
(+.f64 x (/.f64 1 (+.f64 (*.f64 z (+.f64 (*.f64 -54926362148836417054593262229306108478309176/544082054113166395691471098236108147273828125 (/.f64 z y)) (*.f64 155900051080628738716045985239/389750127738131234692690878125 (/.f64 1 y)))) (*.f64 3350343815022304/279195317918525 (/.f64 1 y)))))
(*.f64 -1 (*.f64 y (+.f64 (*.f64 -1 (/.f64 x y)) (*.f64 -1 (/.f64 (+.f64 11167812716741/40000000000000 (*.f64 z (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z)))) (+.f64 104698244219447/31250000000000 (*.f64 z (+.f64 6012459259764103/1000000000000000 z))))))))
(*.f64 x (neg.f64 (fma.f64 y (/.f64 -692910599291889/10000000000000000 x) -1)))
(+.f64 x (*.f64 y (/.f64 (-.f64 480125098611044764748221188321/100000000000000000000000000000000 (pow.f64 (/.f64 (+.f64 (/.f64 4046220386999211718548694042263781576003973599/10000000000000000000000000000000000000000000000 z) -751220861604756070699018739433/10000000000000000000000000000000) z) 2)) (+.f64 692910599291889/10000000000000000 (/.f64 (+.f64 (/.f64 4046220386999211718548694042263781576003973599/10000000000000000000000000000000000000000000000 z) -751220861604756070699018739433/10000000000000000000000000000000) z)))))
(+.f64 (cbrt.f64 (*.f64 (pow.f64 y 3) 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000)) x)
(+.f64 x (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (exp.f64 (log.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)))) 104698244219447/31250000000000)))
(+.f64 x (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (sqrt.f64 (*.f64 (pow.f64 z 2) 480125098611044764748221188321/100000000000000000000000000000000)) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
(fma.f64 (fma.f64 z 307332350656623/625000000000000 11167812716741/40000000000000) (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) x)
(fma.f64 (fma.f64 z (*.f64 z 692910599291889/10000000000000000) 11167812716741/40000000000000) (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) x)
(+.f64 x (*.f64 y (/.f64 (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000) (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000))))
(+.f64 x (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) y)))
(fma.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 y (+.f64 104698244219447/31250000000000 (*.f64 z (+.f64 6012459259764103/1000000000000000 z)))) x)
(+.f64 x (/.f64 1 (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) (*.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) y))))
(+.f64 x (*.f64 y (/.f64 (fma.f64 (/.f64 (-.f64 94453173760125479739253764129/390625000000000000000000000000 (*.f64 (pow.f64 z 2) 480125098611044764748221188321/100000000000000000000000000000000)) (-.f64 307332350656623/625000000000000 (*.f64 z 692910599291889/10000000000000000))) z 11167812716741/40000000000000) (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000))))
(fma.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) x)
(*.f64 x (fma.f64 (/.f64 y x) (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) 1))
(+.f64 x (/.f64 (/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 2) -124720040876201995101661081/1600000000000000000000000000) y) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) -11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
(+.f64 x (*.f64 (/.f64 (*.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) y) (+.f64 (pow.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)) 3) 1147673082894964476557575335949564252827623/30517578125000000000000000000000000000000)) (+.f64 (pow.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)) 2) (-.f64 10961722342634967150292985809/976562500000000000000000000 (*.f64 z (*.f64 (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))))))
Outputs
(+.f64 x (*.f64 y (/.f64 (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000) (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000))))
(+.f64 x (/.f64 y (-.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z))))
Calls

5 calls:

63.0ms
x
61.0ms
y
61.0ms
z
41.0ms
(/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000))
38.0ms
(+.f64 x (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
Results
AccuracySegmentsBranch
87.1%3x
88.9%3y
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)

regimes145.0ms (1.1%)

Counts
34 → 3
Calls
Call 1
Inputs
x
(*.f64 692910599291889/10000000000000000 y)
(*.f64 y 279195317918525/3350343815022304)
(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
(+.f64 (*.f64 279195317918525/3350343815022304 y) x)
(+.f64 (/.f64 y 10000000000000000/692910599291889) x)
(+.f64 x (/.f64 1 (/.f64 3350343815022304/279195317918525 y)))
(+.f64 x (/.f64 1 (/.f64 10000000000000000/692910599291889 y)))
(*.f64 x (+.f64 1 (*.f64 692910599291889/10000000000000000 (/.f64 y x))))
(+.f64 x (*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))))
(+.f64 x (*.f64 y (+.f64 279195317918525/3350343815022304 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z))))
(+.f64 x (*.f64 y (-.f64 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 x (/.f64 y (/.f64 (-.f64 (*.f64 10000000000000000/692910599291889 z) 2504069538682520235663395798110/160041699537014921582740396107) z)))
(+.f64 x (*.f64 y (+.f64 279195317918525/3350343815022304 (*.f64 z (-.f64 (*.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 z) 155900051080628738716045985239/56124018394291031809500087342080)))))
(+.f64 x (*.f64 y (-.f64 692910599291889/10000000000000000 (/.f64 (+.f64 (/.f64 4046220386999211718548694042263781576003973599/10000000000000000000000000000000000000000000000 z) -751220861604756070699018739433/10000000000000000000000000000000) z))))
(+.f64 x (/.f64 1 (-.f64 (/.f64 10000000000000000/692910599291889 y) (/.f64 2504069538682520235663395798110/160041699537014921582740396107 (*.f64 y z)))))
(+.f64 x (/.f64 y (+.f64 3350343815022304/279195317918525 (*.f64 z (+.f64 155900051080628738716045985239/389750127738131234692690878125 (*.f64 z -54926362148836417054593262229306108478309176/544082054113166395691471098236108147273828125))))))
(+.f64 x (+.f64 (*.f64 279195317918525/3350343815022304 y) (*.f64 z (-.f64 (*.f64 307332350656623/2093964884388940 y) (*.f64 1678650474502018223880473708075/11224803678858206361900017468416 y)))))
(+.f64 x (/.f64 1 (+.f64 (*.f64 155900051080628738716045985239/389750127738131234692690878125 (/.f64 z y)) (*.f64 3350343815022304/279195317918525 (/.f64 1 y)))))
(+.f64 x (/.f64 1 (-.f64 (*.f64 10000000000000000/692910599291889 (/.f64 1 y)) (*.f64 2504069538682520235663395798110/160041699537014921582740396107 (/.f64 1 (*.f64 y z))))))
(+.f64 x (*.f64 y (/.f64 (-.f64 480125098611044764748221188321/100000000000000000000000000000000 (*.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z) (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))) (-.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)))))
(+.f64 x (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
(+.f64 x (*.f64 y (+.f64 692910599291889/10000000000000000 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 21810887065466482153109263568915904549915271947668467379916697/10000000000000000000000000000000000000000000000000000000000000 (/.f64 1 z)) 4046220386999211718548694042263781576003973599/10000000000000000000000000000000000000000000000) z)) 751220861604756070699018739433/10000000000000000000000000000000) z)))))
(+.f64 x (/.f64 1 (+.f64 (*.f64 z (+.f64 (*.f64 -54926362148836417054593262229306108478309176/544082054113166395691471098236108147273828125 (/.f64 z y)) (*.f64 155900051080628738716045985239/389750127738131234692690878125 (/.f64 1 y)))) (*.f64 3350343815022304/279195317918525 (/.f64 1 y)))))
(*.f64 -1 (*.f64 y (+.f64 (*.f64 -1 (/.f64 x y)) (*.f64 -1 (/.f64 (+.f64 11167812716741/40000000000000 (*.f64 z (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z)))) (+.f64 104698244219447/31250000000000 (*.f64 z (+.f64 6012459259764103/1000000000000000 z))))))))
(*.f64 x (neg.f64 (fma.f64 y (/.f64 -692910599291889/10000000000000000 x) -1)))
(+.f64 x (*.f64 y (/.f64 (-.f64 480125098611044764748221188321/100000000000000000000000000000000 (pow.f64 (/.f64 (+.f64 (/.f64 4046220386999211718548694042263781576003973599/10000000000000000000000000000000000000000000000 z) -751220861604756070699018739433/10000000000000000000000000000000) z) 2)) (+.f64 692910599291889/10000000000000000 (/.f64 (+.f64 (/.f64 4046220386999211718548694042263781576003973599/10000000000000000000000000000000000000000000000 z) -751220861604756070699018739433/10000000000000000000000000000000) z)))))
(+.f64 (cbrt.f64 (*.f64 (pow.f64 y 3) 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000)) x)
(+.f64 x (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (exp.f64 (log.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)))) 104698244219447/31250000000000)))
(+.f64 x (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (sqrt.f64 (*.f64 (pow.f64 z 2) 480125098611044764748221188321/100000000000000000000000000000000)) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
(fma.f64 (fma.f64 z 307332350656623/625000000000000 11167812716741/40000000000000) (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) x)
(fma.f64 (fma.f64 z (*.f64 z 692910599291889/10000000000000000) 11167812716741/40000000000000) (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) x)
Outputs
(+.f64 x (/.f64 y (-.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z))))
(+.f64 x (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
(+.f64 x (/.f64 y (-.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z))))
Calls

3 calls:

49.0ms
(/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000))
49.0ms
z
44.0ms
(+.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
99.8%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)))
99.8%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)

regimes37.0ms (0.3%)

Counts
23 → 3
Calls
Call 1
Inputs
x
(*.f64 692910599291889/10000000000000000 y)
(*.f64 y 279195317918525/3350343815022304)
(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
(+.f64 (*.f64 279195317918525/3350343815022304 y) x)
(+.f64 (/.f64 y 10000000000000000/692910599291889) x)
(+.f64 x (/.f64 1 (/.f64 3350343815022304/279195317918525 y)))
(+.f64 x (/.f64 1 (/.f64 10000000000000000/692910599291889 y)))
(*.f64 x (+.f64 1 (*.f64 692910599291889/10000000000000000 (/.f64 y x))))
(+.f64 x (*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))))
(+.f64 x (*.f64 y (+.f64 279195317918525/3350343815022304 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z))))
(+.f64 x (*.f64 y (-.f64 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 x (/.f64 y (/.f64 (-.f64 (*.f64 10000000000000000/692910599291889 z) 2504069538682520235663395798110/160041699537014921582740396107) z)))
(+.f64 x (*.f64 y (+.f64 279195317918525/3350343815022304 (*.f64 z (-.f64 (*.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 z) 155900051080628738716045985239/56124018394291031809500087342080)))))
(+.f64 x (*.f64 y (-.f64 692910599291889/10000000000000000 (/.f64 (+.f64 (/.f64 4046220386999211718548694042263781576003973599/10000000000000000000000000000000000000000000000 z) -751220861604756070699018739433/10000000000000000000000000000000) z))))
(+.f64 x (/.f64 1 (-.f64 (/.f64 10000000000000000/692910599291889 y) (/.f64 2504069538682520235663395798110/160041699537014921582740396107 (*.f64 y z)))))
(+.f64 x (/.f64 y (+.f64 3350343815022304/279195317918525 (*.f64 z (+.f64 155900051080628738716045985239/389750127738131234692690878125 (*.f64 z -54926362148836417054593262229306108478309176/544082054113166395691471098236108147273828125))))))
(+.f64 x (+.f64 (*.f64 279195317918525/3350343815022304 y) (*.f64 z (-.f64 (*.f64 307332350656623/2093964884388940 y) (*.f64 1678650474502018223880473708075/11224803678858206361900017468416 y)))))
(+.f64 x (/.f64 1 (+.f64 (*.f64 155900051080628738716045985239/389750127738131234692690878125 (/.f64 z y)) (*.f64 3350343815022304/279195317918525 (/.f64 1 y)))))
(+.f64 x (/.f64 1 (-.f64 (*.f64 10000000000000000/692910599291889 (/.f64 1 y)) (*.f64 2504069538682520235663395798110/160041699537014921582740396107 (/.f64 1 (*.f64 y z))))))
(+.f64 x (*.f64 y (/.f64 (-.f64 480125098611044764748221188321/100000000000000000000000000000000 (*.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z) (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))) (-.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)))))
Outputs
(+.f64 x (*.f64 y (-.f64 692910599291889/10000000000000000 (/.f64 (+.f64 (/.f64 4046220386999211718548694042263781576003973599/10000000000000000000000000000000000000000000000 z) -751220861604756070699018739433/10000000000000000000000000000000) z))))
(+.f64 x (/.f64 y (+.f64 3350343815022304/279195317918525 (*.f64 z (+.f64 155900051080628738716045985239/389750127738131234692690878125 (*.f64 z -54926362148836417054593262229306108478309176/544082054113166395691471098236108147273828125))))))
(+.f64 x (/.f64 y (-.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z))))
Calls

1 calls:

35.0ms
z
Results
AccuracySegmentsBranch
99.6%3z
Compiler

Compiled 4 to 3 computations (25% saved)

regimes30.0ms (0.2%)

Counts
18 → 3
Calls
Call 1
Inputs
x
(*.f64 692910599291889/10000000000000000 y)
(*.f64 y 279195317918525/3350343815022304)
(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
(+.f64 (*.f64 279195317918525/3350343815022304 y) x)
(+.f64 (/.f64 y 10000000000000000/692910599291889) x)
(+.f64 x (/.f64 1 (/.f64 3350343815022304/279195317918525 y)))
(+.f64 x (/.f64 1 (/.f64 10000000000000000/692910599291889 y)))
(*.f64 x (+.f64 1 (*.f64 692910599291889/10000000000000000 (/.f64 y x))))
(+.f64 x (*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))))
(+.f64 x (*.f64 y (+.f64 279195317918525/3350343815022304 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z))))
(+.f64 x (*.f64 y (-.f64 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 x (/.f64 y (/.f64 (-.f64 (*.f64 10000000000000000/692910599291889 z) 2504069538682520235663395798110/160041699537014921582740396107) z)))
(+.f64 x (*.f64 y (+.f64 279195317918525/3350343815022304 (*.f64 z (-.f64 (*.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 z) 155900051080628738716045985239/56124018394291031809500087342080)))))
(+.f64 x (*.f64 y (-.f64 692910599291889/10000000000000000 (/.f64 (+.f64 (/.f64 4046220386999211718548694042263781576003973599/10000000000000000000000000000000000000000000000 z) -751220861604756070699018739433/10000000000000000000000000000000) z))))
(+.f64 x (/.f64 1 (-.f64 (/.f64 10000000000000000/692910599291889 y) (/.f64 2504069538682520235663395798110/160041699537014921582740396107 (*.f64 y z)))))
Outputs
(+.f64 x (*.f64 y (-.f64 692910599291889/10000000000000000 (/.f64 (+.f64 (/.f64 4046220386999211718548694042263781576003973599/10000000000000000000000000000000000000000000000 z) -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))))
Calls

1 calls:

29.0ms
z
Results
AccuracySegmentsBranch
99.5%3z
Compiler

Compiled 4 to 3 computations (25% saved)

regimes28.0ms (0.2%)

Counts
16 → 3
Calls
Call 1
Inputs
x
(*.f64 692910599291889/10000000000000000 y)
(*.f64 y 279195317918525/3350343815022304)
(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
(+.f64 (*.f64 279195317918525/3350343815022304 y) x)
(+.f64 (/.f64 y 10000000000000000/692910599291889) x)
(+.f64 x (/.f64 1 (/.f64 3350343815022304/279195317918525 y)))
(+.f64 x (/.f64 1 (/.f64 10000000000000000/692910599291889 y)))
(*.f64 x (+.f64 1 (*.f64 692910599291889/10000000000000000 (/.f64 y x))))
(+.f64 x (*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))))
(+.f64 x (*.f64 y (+.f64 279195317918525/3350343815022304 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z))))
(+.f64 x (*.f64 y (-.f64 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 x (/.f64 y (/.f64 (-.f64 (*.f64 10000000000000000/692910599291889 z) 2504069538682520235663395798110/160041699537014921582740396107) z)))
(+.f64 x (*.f64 y (+.f64 279195317918525/3350343815022304 (*.f64 z (-.f64 (*.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 z) 155900051080628738716045985239/56124018394291031809500087342080)))))
Outputs
(+.f64 x (/.f64 y (-.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z))))
(+.f64 x (/.f64 y (+.f64 3350343815022304/279195317918525 (*.f64 z 155900051080628738716045985239/389750127738131234692690878125))))
(+.f64 x (/.f64 y (-.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z))))
Calls

1 calls:

25.0ms
z
Results
AccuracySegmentsBranch
99.5%3z
Compiler

Compiled 4 to 3 computations (25% saved)

regimes23.0ms (0.2%)

Counts
13 → 3
Calls
Call 1
Inputs
x
(*.f64 692910599291889/10000000000000000 y)
(*.f64 y 279195317918525/3350343815022304)
(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
(+.f64 (*.f64 279195317918525/3350343815022304 y) x)
(+.f64 (/.f64 y 10000000000000000/692910599291889) x)
(+.f64 x (/.f64 1 (/.f64 3350343815022304/279195317918525 y)))
(+.f64 x (/.f64 1 (/.f64 10000000000000000/692910599291889 y)))
(*.f64 x (+.f64 1 (*.f64 692910599291889/10000000000000000 (/.f64 y x))))
(+.f64 x (*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))))
(+.f64 x (*.f64 y (+.f64 279195317918525/3350343815022304 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z))))
(+.f64 x (*.f64 y (-.f64 692910599291889/10000000000000000 (/.f64 -751220861604756070699018739433/10000000000000000000000000000000 z))))
(+.f64 x (/.f64 y (+.f64 3350343815022304/279195317918525 (*.f64 z 155900051080628738716045985239/389750127738131234692690878125))))
Outputs
(+.f64 x (*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))))
(+.f64 x (/.f64 y (+.f64 3350343815022304/279195317918525 (*.f64 z 155900051080628738716045985239/389750127738131234692690878125))))
(+.f64 x (*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))))
Calls

1 calls:

22.0ms
z
Results
AccuracySegmentsBranch
99.4%3z
Compiler

Compiled 4 to 3 computations (25% saved)

regimes22.0ms (0.2%)

Counts
12 → 3
Calls
Call 1
Inputs
x
(*.f64 692910599291889/10000000000000000 y)
(*.f64 y 279195317918525/3350343815022304)
(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
(+.f64 (*.f64 279195317918525/3350343815022304 y) x)
(+.f64 (/.f64 y 10000000000000000/692910599291889) x)
(+.f64 x (/.f64 1 (/.f64 3350343815022304/279195317918525 y)))
(+.f64 x (/.f64 1 (/.f64 10000000000000000/692910599291889 y)))
(*.f64 x (+.f64 1 (*.f64 692910599291889/10000000000000000 (/.f64 y x))))
(+.f64 x (*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))))
(+.f64 x (*.f64 y (+.f64 279195317918525/3350343815022304 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z))))
(+.f64 x (*.f64 y (-.f64 692910599291889/10000000000000000 (/.f64 -751220861604756070699018739433/10000000000000000000000000000000 z))))
Outputs
(+.f64 x (*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))))
(+.f64 x (*.f64 y (+.f64 279195317918525/3350343815022304 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z))))
(+.f64 x (*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))))
Calls

1 calls:

21.0ms
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 692910599291889/10000000000000000 y)
(*.f64 y 279195317918525/3350343815022304)
(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
(+.f64 (*.f64 279195317918525/3350343815022304 y) x)
(+.f64 (/.f64 y 10000000000000000/692910599291889) x)
(+.f64 x (/.f64 1 (/.f64 3350343815022304/279195317918525 y)))
(+.f64 x (/.f64 1 (/.f64 10000000000000000/692910599291889 y)))
(*.f64 x (+.f64 1 (*.f64 692910599291889/10000000000000000 (/.f64 y x))))
(+.f64 x (*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))))
Outputs
(+.f64 x (*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))))
(+.f64 x (/.f64 1 (/.f64 3350343815022304/279195317918525 y)))
(+.f64 x (*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))))
Calls

1 calls:

18.0ms
z
Results
AccuracySegmentsBranch
99.1%3z
Compiler

Compiled 4 to 3 computations (25% saved)

regimes18.0ms (0.1%)

Counts
9 → 3
Calls
Call 1
Inputs
x
(*.f64 692910599291889/10000000000000000 y)
(*.f64 y 279195317918525/3350343815022304)
(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
(+.f64 (*.f64 279195317918525/3350343815022304 y) x)
(+.f64 (/.f64 y 10000000000000000/692910599291889) x)
(+.f64 x (/.f64 1 (/.f64 3350343815022304/279195317918525 y)))
(+.f64 x (/.f64 1 (/.f64 10000000000000000/692910599291889 y)))
(*.f64 x (+.f64 1 (*.f64 692910599291889/10000000000000000 (/.f64 y x))))
Outputs
(+.f64 (/.f64 y 10000000000000000/692910599291889) x)
(+.f64 x (/.f64 1 (/.f64 3350343815022304/279195317918525 y)))
(+.f64 (/.f64 y 10000000000000000/692910599291889) x)
Calls

1 calls:

18.0ms
z
Results
AccuracySegmentsBranch
98.9%3z
Compiler

Compiled 4 to 3 computations (25% saved)

regimes14.0ms (0.1%)

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

1 calls:

14.0ms
z
Results
AccuracySegmentsBranch
98.9%3z
Compiler

Compiled 4 to 3 computations (25% saved)

regimes12.0ms (0.1%)

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

1 calls:

12.0ms
z
Results
AccuracySegmentsBranch
98.8%3z
Compiler

Compiled 4 to 3 computations (25% saved)

regimes10.0ms (0.1%)

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

2 calls:

6.0ms
y
4.0ms
z
Results
AccuracySegmentsBranch
84.3%1y
84.3%1z
Compiler

Compiled 8 to 6 computations (25% saved)

regimes69.0ms (0.5%)

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

3 calls:

28.0ms
z
23.0ms
y
17.0ms
x
Results
AccuracySegmentsBranch
70.1%6x
69.3%8y
68.6%10z
Compiler

Compiled 12 to 9 computations (25% saved)

regimes14.0ms (0.1%)

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

1 calls:

14.0ms
x
Results
AccuracySegmentsBranch
68.4%5x
Compiler

Compiled 4 to 3 computations (25% saved)

regimes5.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

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

2 calls:

2.0ms
x
2.0ms
y
Results
AccuracySegmentsBranch
56.9%1y
56.9%1x
Compiler

Compiled 8 to 6 computations (25% saved)

bsearch1.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
3.4738810049368646e+302
+inf
Compiler

Compiled 30 to 23 computations (23.3% saved)

bsearch49.0ms (0.4%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
30.0ms
1.2767504926083678e-12
1.3237621838224578e-6
20.0ms
-15009698028.67696
-3592837830.561651
Results
40.0ms239×256valid
0.0ms256valid
Compiler

Compiled 600 to 458 computations (23.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 18.0ms
Operation ival-mult, time spent: 8.0ms, 44.0% of total-time
Operation ival-add, time spent: 7.0ms, 38.0% of total-time
Operation ival-div, time spent: 2.0ms, 11.0% of total-time
Operation const, time spent: 1.0ms, 5.0% of total-time

bsearch56.0ms (0.4%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
28.0ms
1.2767504926083678e-12
1.3237621838224578e-6
28.0ms
-48.07673887512601
-0.014237772667228673
Results
44.0ms271×256valid
0.0ms256valid
Compiler

Compiled 572 to 438 computations (23.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 19.0ms
Operation ival-mult, time spent: 8.0ms, 42.0% of total-time
Operation ival-add, time spent: 7.0ms, 36.0% of total-time
Operation ival-div, time spent: 3.0ms, 16.0% of total-time
Operation const, time spent: 1.0ms, 5.0% of total-time

bsearch55.0ms (0.4%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
29.0ms
1.2767504926083678e-12
1.3237621838224578e-6
26.0ms
-48.07673887512601
-0.014237772667228673
Results
46.0ms271×256valid
0.0ms256valid
Compiler

Compiled 504 to 387 computations (23.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 20.0ms
Operation ival-mult, time spent: 9.0ms, 45.0% of total-time
Operation ival-add, time spent: 7.0ms, 35.0% of total-time
Operation ival-div, time spent: 2.0ms, 10.0% of total-time
Operation const, time spent: 1.0ms, 5.0% of total-time

bsearch55.0ms (0.4%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
29.0ms
1.2767504926083678e-12
1.3237621838224578e-6
26.0ms
-48.07673887512601
-0.014237772667228673
Results
44.0ms271×256valid
0.0ms256valid
Compiler

Compiled 472 to 363 computations (23.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 21.0ms
Operation ival-mult, time spent: 11.0ms, 54.0% of total-time
Operation ival-add, time spent: 7.0ms, 34.0% of total-time
Operation ival-div, time spent: 2.0ms, 10.0% of total-time
Operation const, time spent: 1.0ms, 5.0% of total-time

bsearch59.0ms (0.4%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
33.0ms
1.2767504926083678e-12
1.3237621838224578e-6
25.0ms
-48.07673887512601
-0.014237772667228673
Results
44.0ms271×256valid
0.0ms256valid
Compiler

Compiled 472 to 363 computations (23.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 19.0ms
Operation ival-add, time spent: 8.0ms, 43.0% of total-time
Operation ival-mult, time spent: 8.0ms, 43.0% of total-time
Operation ival-div, time spent: 2.0ms, 11.0% of total-time
Operation const, time spent: 1.0ms, 5.0% of total-time

bsearch55.0ms (0.4%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
29.0ms
1.2767504926083678e-12
1.3237621838224578e-6
25.0ms
-48.07673887512601
-0.014237772667228673
Results
45.0ms271×256valid
0.0ms256valid
Compiler

Compiled 472 to 363 computations (23.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 20.0ms
Operation ival-mult, time spent: 9.0ms, 45.0% of total-time
Operation ival-add, time spent: 8.0ms, 40.0% of total-time
Operation ival-div, time spent: 2.0ms, 10.0% of total-time
Operation const, time spent: 1.0ms, 5.0% of total-time

bsearch54.0ms (0.4%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
28.0ms
1.2767504926083678e-12
1.3237621838224578e-6
25.0ms
-48.07673887512601
-0.014237772667228673
Results
45.0ms271×256valid
0.0ms256valid
Compiler

Compiled 438 to 346 computations (21% saved)

Precisions
Click to see histograms. Total time spent on operations: 19.0ms
Operation ival-add, time spent: 8.0ms, 42.0% of total-time
Operation ival-mult, time spent: 8.0ms, 42.0% of total-time
Operation ival-div, time spent: 2.0ms, 11.0% of total-time
Operation const, time spent: 1.0ms, 5.0% of total-time

bsearch55.0ms (0.4%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
29.0ms
1.2767504926083678e-12
1.3237621838224578e-6
25.0ms
-48.07673887512601
-0.014237772667228673
Results
46.0ms271×256valid
0.0ms256valid
Compiler

Compiled 370 to 295 computations (20.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 20.0ms
Operation ival-add, time spent: 9.0ms, 45.0% of total-time
Operation ival-mult, time spent: 8.0ms, 40.0% of total-time
Operation ival-div, time spent: 2.0ms, 10.0% of total-time
Operation const, time spent: 1.0ms, 5.0% of total-time

bsearch56.0ms (0.4%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
29.0ms
1.2767504926083678e-12
1.3237621838224578e-6
27.0ms
-48.07673887512601
-0.014237772667228673
Results
48.0ms271×256valid
0.0ms256valid
Compiler

Compiled 336 to 261 computations (22.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 23.0ms
Operation ival-mult, time spent: 12.0ms, 51.0% of total-time
Operation ival-add, time spent: 8.0ms, 34.0% of total-time
Operation ival-div, time spent: 2.0ms, 9.0% of total-time
Operation const, time spent: 1.0ms, 4.0% of total-time

bsearch53.0ms (0.4%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
28.0ms
1.2767504926083678e-12
1.3237621838224578e-6
25.0ms
-48.07673887512601
-0.014237772667228673
Results
45.0ms271×256valid
0.0ms256valid
Compiler

Compiled 336 to 261 computations (22.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 20.0ms
Operation ival-mult, time spent: 9.0ms, 44.0% of total-time
Operation ival-add, time spent: 8.0ms, 39.0% of total-time
Operation ival-div, time spent: 2.0ms, 10.0% of total-time
Operation const, time spent: 1.0ms, 5.0% of total-time

bsearch160.0ms (1.2%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
36.0ms
3.6350402392046037e-6
1.4980588328658053
32.0ms
9.203182426669476e-74
8.046607472140007e-69
29.0ms
1.0540194123855306e-101
3.0354237673339757e-99
38.0ms
-1.6170137835004834e-168
-8.856868806714871e-181
26.0ms
-5.532804788106498e-59
-8.393460066150453e-62
Results
136.0ms703×256valid
0.0ms256valid
Compiler

Compiled 578 to 483 computations (16.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 65.0ms
Operation ival-add, time spent: 26.0ms, 40.0% of total-time
Operation ival-mult, time spent: 24.0ms, 37.0% of total-time
Operation ival-div, time spent: 12.0ms, 19.0% of total-time
Operation const, time spent: 3.0ms, 5.0% of total-time

bsearch172.0ms (1.3%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
85.0ms
3.6350402392046037e-6
1.4980588328658053
30.0ms
9.203182426669476e-74
8.046607472140007e-69
26.0ms
1.0540194123855306e-101
3.0354237673339757e-99
32.0ms
-5.1414100609333125e-133
-8.870375633837846e-139
Results
151.0ms559×256valid
0.0ms256valid
Compiler

Compiled 450 to 373 computations (17.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 101.0ms
Operation ival-add, time spent: 73.0ms, 72.0% of total-time
Operation ival-mult, time spent: 22.0ms, 22.0% of total-time
Operation ival-div, time spent: 4.0ms, 4.0% of total-time
Operation const, time spent: 2.0ms, 2.0% of total-time

simplify56.0ms (0.4%)

Algorithm
egg-herbie
Rules
64×+-commutative
44×*-commutative
26×if-if-or-not
20×sub-neg
16×neg-sub0
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01381425
12031425
22231425
32461417
42681417
52821417
62871417
72891417
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)) 500000000000000000080882538393228219106334323115829719147747508550558749612869373932630121517106957626889886784090168708013722910283889599821695770803013034305575373061142488088628325022100263638403663533845231056330713750098525613244949130339381695724688044273646160407063978743165327734459561131638784) (+.f64 x (*.f64 y (/.f64 (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000) (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000)))) (+.f64 x (/.f64 y (-.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z)))))
(if (<=.f64 z -4200000000) (+.f64 x (/.f64 y (-.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z)))) (if (<=.f64 z 6139076427730539/4722366482869645213696) (+.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 -3039929748475085/562949953421312) (+.f64 x (*.f64 y (-.f64 692910599291889/10000000000000000 (/.f64 (+.f64 (/.f64 4046220386999211718548694042263781576003973599/10000000000000000000000000000000000000000000000 z) -751220861604756070699018739433/10000000000000000000000000000000) z)))) (if (<=.f64 z 6139076427730539/4722366482869645213696) (+.f64 x (/.f64 y (+.f64 3350343815022304/279195317918525 (*.f64 z (+.f64 155900051080628738716045985239/389750127738131234692690878125 (*.f64 z -54926362148836417054593262229306108478309176/544082054113166395691471098236108147273828125)))))) (+.f64 x (/.f64 y (-.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z))))))
(if (<=.f64 z -3039929748475085/562949953421312) (+.f64 x (*.f64 y (-.f64 692910599291889/10000000000000000 (/.f64 (+.f64 (/.f64 4046220386999211718548694042263781576003973599/10000000000000000000000000000000000000000000000 z) -751220861604756070699018739433/10000000000000000000000000000000) z)))) (if (<=.f64 z 6139076427730539/4722366482869645213696) (+.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 -3039929748475085/562949953421312) (+.f64 x (/.f64 y (-.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z)))) (if (<=.f64 z 6139076427730539/4722366482869645213696) (+.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 -3039929748475085/562949953421312) (+.f64 x (*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)))) (if (<=.f64 z 6139076427730539/4722366482869645213696) (+.f64 x (/.f64 y (+.f64 3350343815022304/279195317918525 (*.f64 z 155900051080628738716045985239/389750127738131234692690878125)))) (+.f64 x (*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))))))
(if (<=.f64 z -3039929748475085/562949953421312) (+.f64 x (*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)))) (if (<=.f64 z 6139076427730539/4722366482869645213696) (+.f64 x (*.f64 y (+.f64 279195317918525/3350343815022304 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z)))) (+.f64 x (*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))))))
(if (<=.f64 z -3039929748475085/562949953421312) (+.f64 x (*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)))) (if (<=.f64 z 6139076427730539/4722366482869645213696) (+.f64 x (/.f64 1 (/.f64 3350343815022304/279195317918525 y))) (+.f64 x (*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))))))
(if (<=.f64 z -3039929748475085/562949953421312) (+.f64 (/.f64 y 10000000000000000/692910599291889) x) (if (<=.f64 z 6139076427730539/4722366482869645213696) (+.f64 x (/.f64 1 (/.f64 3350343815022304/279195317918525 y))) (+.f64 (/.f64 y 10000000000000000/692910599291889) x)))
(if (<=.f64 z -3039929748475085/562949953421312) (+.f64 (/.f64 y 10000000000000000/692910599291889) x) (if (<=.f64 z 6139076427730539/4722366482869645213696) (+.f64 (*.f64 279195317918525/3350343815022304 y) x) (+.f64 (/.f64 y 10000000000000000/692910599291889) x)))
(if (<=.f64 z -3039929748475085/562949953421312) (+.f64 (*.f64 692910599291889/10000000000000000 y) x) (if (<=.f64 z 6139076427730539/4722366482869645213696) (+.f64 (*.f64 279195317918525/3350343815022304 y) x) (+.f64 (*.f64 692910599291889/10000000000000000 y) x)))
(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
(if (<=.f64 x -6658045131145681/28948022309329048855892746252171976963317496166410141009864396001978282409984) x (if (<=.f64 x -696173189944793/278469275977917188637766821636980671685377716506870112950390168328813181592326500641230029987632531724770648777685205524334027387779262573135538410627576549575927409323746640019706676772864) (*.f64 y 279195317918525/3350343815022304) (if (<=.f64 x 627969473755037/1231312693637327475383720003129487931408741852202045208373384168882678805359287831606695820465153613775207124697088) (*.f64 692910599291889/10000000000000000 y) (if (<=.f64 x 3829388920355357/497323236409786642155382248146820840100456150797347717440463976893159497012533375533056) x (if (<=.f64 x 700976274800963/36893488147419103232) (*.f64 692910599291889/10000000000000000 y) x)))))
(if (<=.f64 x -4022342378982779/209496998905353079680844140596966345741865090946756146526930647558152562969899171512529285908857866057656747784163844544589904418936665155413025765720064) x (if (<=.f64 x 5358672842709649/78804012392788958424558080200287227610159478540930893335896586808491443542994421222828532509769831281613255980613632) (*.f64 692910599291889/10000000000000000 y) (if (<=.f64 x 4351578318585633/248661618204893321077691124073410420050228075398673858720231988446579748506266687766528) x (if (<=.f64 x 1357680363825023/295147905179352825856) (*.f64 692910599291889/10000000000000000 y) x))))
x
Outputs
(if (<=.f64 (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)) 500000000000000000080882538393228219106334323115829719147747508550558749612869373932630121517106957626889886784090168708013722910283889599821695770803013034305575373061142488088628325022100263638403663533845231056330713750098525613244949130339381695724688044273646160407063978743165327734459561131638784) (+.f64 x (*.f64 y (/.f64 (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000) (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000)))) (+.f64 x (/.f64 y (-.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z)))))
(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)) 500000000000000000080882538393228219106334323115829719147747508550558749612869373932630121517106957626889886784090168708013722910283889599821695770803013034305575373061142488088628325022100263638403663533845231056330713750098525613244949130339381695724688044273646160407063978743165327734459561131638784) (+.f64 x (*.f64 y (/.f64 (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000) (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000)))) (+.f64 x (/.f64 y (-.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z)))))
(if (<=.f64 z -4200000000) (+.f64 x (/.f64 y (-.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z)))) (if (<=.f64 z 6139076427730539/4722366482869645213696) (+.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 (or (<=.f64 z -4200000000) (not (<=.f64 z 6139076427730539/4722366482869645213696))) (+.f64 x (/.f64 y (-.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z)))) (+.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))
(if (<=.f64 z -3039929748475085/562949953421312) (+.f64 x (*.f64 y (-.f64 692910599291889/10000000000000000 (/.f64 (+.f64 (/.f64 4046220386999211718548694042263781576003973599/10000000000000000000000000000000000000000000000 z) -751220861604756070699018739433/10000000000000000000000000000000) z)))) (if (<=.f64 z 6139076427730539/4722366482869645213696) (+.f64 x (/.f64 y (+.f64 3350343815022304/279195317918525 (*.f64 z (+.f64 155900051080628738716045985239/389750127738131234692690878125 (*.f64 z -54926362148836417054593262229306108478309176/544082054113166395691471098236108147273828125)))))) (+.f64 x (/.f64 y (-.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z))))))
(if (<=.f64 z -3039929748475085/562949953421312) (+.f64 x (*.f64 y (-.f64 692910599291889/10000000000000000 (/.f64 (+.f64 (/.f64 4046220386999211718548694042263781576003973599/10000000000000000000000000000000000000000000000 z) -751220861604756070699018739433/10000000000000000000000000000000) z)))) (if (<=.f64 z 6139076427730539/4722366482869645213696) (+.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 -3039929748475085/562949953421312) (+.f64 x (/.f64 y (-.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z)))) (if (<=.f64 z 6139076427730539/4722366482869645213696) (+.f64 x (/.f64 y (+.f64 3350343815022304/279195317918525 (*.f64 z 155900051080628738716045985239/389750127738131234692690878125)))) (+.f64 x (/.f64 y (-.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z))))))
(if (or (<=.f64 z -3039929748475085/562949953421312) (not (<=.f64 z 6139076427730539/4722366482869645213696))) (+.f64 x (/.f64 y (-.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z)))) (+.f64 x (/.f64 y (+.f64 3350343815022304/279195317918525 (*.f64 z 155900051080628738716045985239/389750127738131234692690878125)))))
(if (<=.f64 z -3039929748475085/562949953421312) (+.f64 x (*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)))) (if (<=.f64 z 6139076427730539/4722366482869645213696) (+.f64 x (/.f64 y (+.f64 3350343815022304/279195317918525 (*.f64 z 155900051080628738716045985239/389750127738131234692690878125)))) (+.f64 x (*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))))))
(if (or (<=.f64 z -3039929748475085/562949953421312) (not (<=.f64 z 6139076427730539/4722366482869645213696))) (+.f64 x (*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)))) (+.f64 x (/.f64 y (+.f64 3350343815022304/279195317918525 (*.f64 z 155900051080628738716045985239/389750127738131234692690878125)))))
(if (<=.f64 z -3039929748475085/562949953421312) (+.f64 x (*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)))) (if (<=.f64 z 6139076427730539/4722366482869645213696) (+.f64 x (*.f64 y (+.f64 279195317918525/3350343815022304 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z)))) (+.f64 x (*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))))))
(if (or (<=.f64 z -3039929748475085/562949953421312) (not (<=.f64 z 6139076427730539/4722366482869645213696))) (+.f64 x (*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)))) (+.f64 x (*.f64 y (+.f64 279195317918525/3350343815022304 (*.f64 z -155900051080628738716045985239/56124018394291031809500087342080)))))
(if (<=.f64 z -3039929748475085/562949953421312) (+.f64 x (*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)))) (if (<=.f64 z 6139076427730539/4722366482869645213696) (+.f64 x (/.f64 1 (/.f64 3350343815022304/279195317918525 y))) (+.f64 x (*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))))))
(if (or (<=.f64 z -3039929748475085/562949953421312) (not (<=.f64 z 6139076427730539/4722366482869645213696))) (+.f64 x (*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)))) (+.f64 x (/.f64 1 (/.f64 3350343815022304/279195317918525 y))))
(if (<=.f64 z -3039929748475085/562949953421312) (+.f64 (/.f64 y 10000000000000000/692910599291889) x) (if (<=.f64 z 6139076427730539/4722366482869645213696) (+.f64 x (/.f64 1 (/.f64 3350343815022304/279195317918525 y))) (+.f64 (/.f64 y 10000000000000000/692910599291889) x)))
(if (or (<=.f64 z -3039929748475085/562949953421312) (not (<=.f64 z 6139076427730539/4722366482869645213696))) (+.f64 x (/.f64 y 10000000000000000/692910599291889)) (+.f64 x (/.f64 1 (/.f64 3350343815022304/279195317918525 y))))
(if (<=.f64 z -3039929748475085/562949953421312) (+.f64 (/.f64 y 10000000000000000/692910599291889) x) (if (<=.f64 z 6139076427730539/4722366482869645213696) (+.f64 (*.f64 279195317918525/3350343815022304 y) x) (+.f64 (/.f64 y 10000000000000000/692910599291889) x)))
(if (or (<=.f64 z -3039929748475085/562949953421312) (not (<=.f64 z 6139076427730539/4722366482869645213696))) (+.f64 x (/.f64 y 10000000000000000/692910599291889)) (+.f64 x (*.f64 y 279195317918525/3350343815022304)))
(if (<=.f64 z -3039929748475085/562949953421312) (+.f64 (*.f64 692910599291889/10000000000000000 y) x) (if (<=.f64 z 6139076427730539/4722366482869645213696) (+.f64 (*.f64 279195317918525/3350343815022304 y) x) (+.f64 (*.f64 692910599291889/10000000000000000 y) x)))
(if (or (<=.f64 z -3039929748475085/562949953421312) (not (<=.f64 z 6139076427730539/4722366482869645213696))) (+.f64 x (*.f64 y 692910599291889/10000000000000000)) (+.f64 x (*.f64 y 279195317918525/3350343815022304)))
(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
(+.f64 x (*.f64 y 692910599291889/10000000000000000))
(if (<=.f64 x -6658045131145681/28948022309329048855892746252171976963317496166410141009864396001978282409984) x (if (<=.f64 x -696173189944793/278469275977917188637766821636980671685377716506870112950390168328813181592326500641230029987632531724770648777685205524334027387779262573135538410627576549575927409323746640019706676772864) (*.f64 y 279195317918525/3350343815022304) (if (<=.f64 x 627969473755037/1231312693637327475383720003129487931408741852202045208373384168882678805359287831606695820465153613775207124697088) (*.f64 692910599291889/10000000000000000 y) (if (<=.f64 x 3829388920355357/497323236409786642155382248146820840100456150797347717440463976893159497012533375533056) x (if (<=.f64 x 700976274800963/36893488147419103232) (*.f64 692910599291889/10000000000000000 y) x)))))
(if (<=.f64 x -6658045131145681/28948022309329048855892746252171976963317496166410141009864396001978282409984) x (if (<=.f64 x -696173189944793/278469275977917188637766821636980671685377716506870112950390168328813181592326500641230029987632531724770648777685205524334027387779262573135538410627576549575927409323746640019706676772864) (*.f64 y 279195317918525/3350343815022304) (if (<=.f64 x 627969473755037/1231312693637327475383720003129487931408741852202045208373384168882678805359287831606695820465153613775207124697088) (*.f64 y 692910599291889/10000000000000000) (if (<=.f64 x 3829388920355357/497323236409786642155382248146820840100456150797347717440463976893159497012533375533056) x (if (<=.f64 x 700976274800963/36893488147419103232) (*.f64 y 692910599291889/10000000000000000) x)))))
(if (<=.f64 x -6658045131145681/28948022309329048855892746252171976963317496166410141009864396001978282409984) x (if (<=.f64 x -696173189944793/278469275977917188637766821636980671685377716506870112950390168328813181592326500641230029987632531724770648777685205524334027387779262573135538410627576549575927409323746640019706676772864) (*.f64 y 279195317918525/3350343815022304) (if (or (<=.f64 x 627969473755037/1231312693637327475383720003129487931408741852202045208373384168882678805359287831606695820465153613775207124697088) (and (not (<=.f64 x 3829388920355357/497323236409786642155382248146820840100456150797347717440463976893159497012533375533056)) (<=.f64 x 700976274800963/36893488147419103232))) (*.f64 y 692910599291889/10000000000000000) x)))
(if (<=.f64 x -4022342378982779/209496998905353079680844140596966345741865090946756146526930647558152562969899171512529285908857866057656747784163844544589904418936665155413025765720064) x (if (<=.f64 x 5358672842709649/78804012392788958424558080200287227610159478540930893335896586808491443542994421222828532509769831281613255980613632) (*.f64 692910599291889/10000000000000000 y) (if (<=.f64 x 4351578318585633/248661618204893321077691124073410420050228075398673858720231988446579748506266687766528) x (if (<=.f64 x 1357680363825023/295147905179352825856) (*.f64 692910599291889/10000000000000000 y) x))))
(if (<=.f64 x -4022342378982779/209496998905353079680844140596966345741865090946756146526930647558152562969899171512529285908857866057656747784163844544589904418936665155413025765720064) x (if (<=.f64 x 5358672842709649/78804012392788958424558080200287227610159478540930893335896586808491443542994421222828532509769831281613255980613632) (*.f64 y 692910599291889/10000000000000000) (if (<=.f64 x 4351578318585633/248661618204893321077691124073410420050228075398673858720231988446579748506266687766528) x (if (<=.f64 x 1357680363825023/295147905179352825856) (*.f64 y 692910599291889/10000000000000000) x))))
(if (<=.f64 x -4022342378982779/209496998905353079680844140596966345741865090946756146526930647558152562969899171512529285908857866057656747784163844544589904418936665155413025765720064) x (if (or (<=.f64 x 5358672842709649/78804012392788958424558080200287227610159478540930893335896586808491443542994421222828532509769831281613255980613632) (and (not (<=.f64 x 4351578318585633/248661618204893321077691124073410420050228075398673858720231988446579748506266687766528)) (<=.f64 x 1357680363825023/295147905179352825856))) (*.f64 y 692910599291889/10000000000000000) x))
x
Compiler

Compiled 437 to 319 computations (27% saved)

soundness2.6s (19.7%)

Rules
1756×fma-neg
1620×unsub-neg
1576×fma-neg
1356×associate-*r*
1328×log1p-expm1-u
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
095829268
1245528221
084517292
1188416730
2646116724
035257
1549245
27694245
089723564
1225822570
2725322570
045461
1706395
033389
1512389
25817389
068789
1191737
2497729
31719713
45642713
0107419629
1258918607
2781318603
Stop Event
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
Compiler

Compiled 1140 to 830 computations (27.2% saved)

end1.0ms (0%)

preprocess343.0ms (2.6%)

Compiler

Compiled 974 to 684 computations (29.8% saved)

Profiling

Loading profile data...