Statistics.Distribution.Poisson.Internal:probability from math-functions-0.1.5.2

Time bar (total: 4.6s)

analyze1.0ms (0%)

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
100%49.9%0%0.1%0%49.9%0%3
Compiler

Compiled 13 to 9 computations (30.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 0.0ms
Operation ival-sub, time spent: 0.0ms, 0.0% of total-time
Operation ival-log, time spent: 0.0ms, 0.0% of total-time
Operation ival-add, time spent: 0.0ms, 0.0% of total-time
Operation ival-exp, time spent: 0.0ms, 0.0% of total-time
Operation ival-mult, time spent: 0.0ms, 0.0% of total-time
Operation const, time spent: 0.0ms, 0.0% of total-time

sample1.6s (34%)

Results
792.0ms4772×256infinite
694.0ms3483×256valid
0.0ms256valid
Precisions
Click to see histograms. Total time spent on operations: 582.0ms
Operation ival-log, time spent: 241.0ms, 41.0% of total-time
Operation ival-sub, time spent: 88.0ms, 15.0% of total-time
Operation ival-mult, time spent: 88.0ms, 15.0% of total-time
Operation ival-add, time spent: 83.0ms, 14.0% of total-time
Operation ival-exp, time spent: 72.0ms, 12.0% of total-time
Operation const, time spent: 9.0ms, 2.0% of total-time
Bogosity

preprocess440.0ms (9.6%)

Algorithm
egg-herbie
Rules
3152×fma-define
1772×fma-neg
872×exp-sum
730×div-sub
656×sub-neg
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-x
00-0-z
00-0-(-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)
00-0-(+.f64 x (*.f64 y (log.f64 y)))
00-0-y
00-0-(log.f64 y)
00-0-(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z))
00-0-(*.f64 y (log.f64 y))
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
044473
1108421
2295421
3871405
41971405
53435405
65159405
76112405
86635405
96973405
107095405
117136405
127759405
137916405
Stop Event
node limit
Calls
Call 1
Inputs
(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z))
(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z))
(exp.f64 (-.f64 (+.f64 (neg.f64 x) (*.f64 y (log.f64 y))) z))
(exp.f64 (-.f64 (+.f64 x (*.f64 (neg.f64 y) (log.f64 (neg.f64 y)))) z))
(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) (neg.f64 z)))
(neg.f64 (exp.f64 (-.f64 (+.f64 (neg.f64 x) (*.f64 y (log.f64 y))) z)))
(neg.f64 (exp.f64 (-.f64 (+.f64 x (*.f64 (neg.f64 y) (log.f64 (neg.f64 y)))) z)))
(neg.f64 (exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) (neg.f64 z))))
(exp.f64 (-.f64 (+.f64 y (*.f64 x (log.f64 x))) z))
(exp.f64 (-.f64 (+.f64 z (*.f64 y (log.f64 y))) x))
(exp.f64 (-.f64 (+.f64 x (*.f64 z (log.f64 z))) y))
Outputs
(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z))
(exp.f64 (+.f64 x (-.f64 (*.f64 y (log.f64 y)) z)))
(exp.f64 (-.f64 (fma.f64 y (log.f64 y) x) z))
(exp.f64 (fma.f64 y (log.f64 y) (-.f64 x z)))
(/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x)))
(*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z)))
(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z))
(exp.f64 (+.f64 x (-.f64 (*.f64 y (log.f64 y)) z)))
(exp.f64 (-.f64 (fma.f64 y (log.f64 y) x) z))
(exp.f64 (fma.f64 y (log.f64 y) (-.f64 x z)))
(/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x)))
(*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z)))
(exp.f64 (-.f64 (+.f64 (neg.f64 x) (*.f64 y (log.f64 y))) z))
(exp.f64 (+.f64 (neg.f64 x) (-.f64 (*.f64 y (log.f64 y)) z)))
(exp.f64 (-.f64 (-.f64 (*.f64 y (log.f64 y)) x) z))
(/.f64 (/.f64 (pow.f64 y y) (exp.f64 x)) (exp.f64 z))
(/.f64 (pow.f64 y y) (exp.f64 (+.f64 x z)))
(exp.f64 (-.f64 (+.f64 x (*.f64 (neg.f64 y) (log.f64 (neg.f64 y)))) z))
(exp.f64 (-.f64 (fma.f64 (neg.f64 y) (log.f64 (neg.f64 y)) x) z))
(*.f64 (pow.f64 (neg.f64 y) (neg.f64 y)) (exp.f64 (-.f64 x z)))
(/.f64 (exp.f64 (-.f64 x z)) (pow.f64 (neg.f64 y) y))
(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) (neg.f64 z)))
(exp.f64 (+.f64 x (-.f64 (*.f64 y (log.f64 y)) (neg.f64 z))))
(exp.f64 (+.f64 x (fma.f64 y (log.f64 y) z)))
(*.f64 (pow.f64 y y) (exp.f64 (+.f64 x z)))
(neg.f64 (exp.f64 (-.f64 (+.f64 (neg.f64 x) (*.f64 y (log.f64 y))) z)))
(neg.f64 (exp.f64 (+.f64 (neg.f64 x) (-.f64 (*.f64 y (log.f64 y)) z))))
(neg.f64 (exp.f64 (-.f64 (-.f64 (*.f64 y (log.f64 y)) x) z)))
(/.f64 (/.f64 (pow.f64 y y) (exp.f64 x)) (neg.f64 (exp.f64 z)))
(neg.f64 (/.f64 (pow.f64 y y) (exp.f64 (+.f64 x z))))
(/.f64 (neg.f64 (pow.f64 y y)) (exp.f64 (+.f64 x z)))
(neg.f64 (exp.f64 (-.f64 (+.f64 x (*.f64 (neg.f64 y) (log.f64 (neg.f64 y)))) z)))
(neg.f64 (exp.f64 (-.f64 (fma.f64 (neg.f64 y) (log.f64 (neg.f64 y)) x) z)))
(neg.f64 (*.f64 (pow.f64 (neg.f64 y) (neg.f64 y)) (exp.f64 (-.f64 x z))))
(neg.f64 (/.f64 (exp.f64 (-.f64 x z)) (pow.f64 (neg.f64 y) y)))
(/.f64 (exp.f64 (-.f64 x z)) (neg.f64 (pow.f64 (neg.f64 y) y)))
(neg.f64 (exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) (neg.f64 z))))
(neg.f64 (exp.f64 (+.f64 x (-.f64 (*.f64 y (log.f64 y)) (neg.f64 z)))))
(neg.f64 (exp.f64 (+.f64 x (fma.f64 y (log.f64 y) z))))
(neg.f64 (*.f64 (pow.f64 y y) (exp.f64 (+.f64 x z))))
(*.f64 (pow.f64 y y) (neg.f64 (exp.f64 (+.f64 x z))))
(*.f64 (neg.f64 (pow.f64 y y)) (exp.f64 (+.f64 x z)))
(exp.f64 (-.f64 (+.f64 y (*.f64 x (log.f64 x))) z))
(exp.f64 (+.f64 y (-.f64 (*.f64 x (log.f64 x)) z)))
(exp.f64 (-.f64 (fma.f64 x (log.f64 x) y) z))
(/.f64 (pow.f64 x x) (exp.f64 (-.f64 z y)))
(*.f64 (pow.f64 x x) (exp.f64 (-.f64 y z)))
(exp.f64 (-.f64 (+.f64 z (*.f64 y (log.f64 y))) x))
(exp.f64 (+.f64 z (-.f64 (*.f64 y (log.f64 y)) x)))
(exp.f64 (-.f64 (fma.f64 y (log.f64 y) z) x))
(*.f64 (pow.f64 y y) (exp.f64 (-.f64 z x)))
(exp.f64 (fma.f64 y (log.f64 y) (-.f64 z x)))
(exp.f64 (-.f64 (+.f64 x (*.f64 z (log.f64 z))) y))
(exp.f64 (+.f64 x (-.f64 (*.f64 z (log.f64 z)) y)))
(exp.f64 (-.f64 (fma.f64 z (log.f64 z) x) y))
(*.f64 (pow.f64 z z) (exp.f64 (-.f64 x y)))
(/.f64 (pow.f64 z z) (exp.f64 (-.f64 y x)))
Compiler

Compiled 84 to 26 computations (69% saved)

Precisions
Click to see histograms. Total time spent on operations: 29.0ms
Operation ival-log, time spent: 12.0ms, 42.0% of total-time
Operation ival-mult, time spent: 6.0ms, 21.0% of total-time
Operation ival-exp, time spent: 4.0ms, 14.0% of total-time
Operation ival-sub, time spent: 3.0ms, 10.0% of total-time
Operation ival-add, time spent: 3.0ms, 10.0% of total-time
Operation const, time spent: 1.0ms, 3.0% of total-time

eval1.0ms (0%)

Compiler

Compiled 44 to 20 computations (54.5% saved)

prune2.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
80.9%
(/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x)))
100.0%
(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z))
Compiler

Compiled 23 to 15 computations (34.8% saved)

localize404.0ms (8.8%)

Localize:

Found 4 expressions with local error:

NewAccuracyProgram
99.7%
(/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x)))
100.0%
(+.f64 x (*.f64 y (log.f64 y)))
100.0%
(-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)
99.8%
(*.f64 y (log.f64 y))
Compiler

Compiled 57 to 13 computations (77.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 315.0ms
Operation ival-pow, time spent: 208.0ms, 66.0% of total-time
Operation ival-log, time spent: 69.0ms, 22.0% of total-time
Operation ival-exp, time spent: 10.0ms, 3.0% of total-time
Operation ival-mult, time spent: 10.0ms, 3.0% of total-time
Operation ival-sub, time spent: 9.0ms, 3.0% of total-time
Operation ival-add, time spent: 5.0ms, 2.0% of total-time
Operation ival-div, time spent: 3.0ms, 1.0% of total-time
Operation const, time spent: 1.0ms, 0.0% of total-time

series104.0ms (2.3%)

Counts
4 → 76
Calls
Call 1
Inputs
#<alt (*.f64 y (log.f64 y))>
#<alt (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)>
#<alt (+.f64 x (*.f64 y (log.f64 y)))>
#<alt (/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x)))>
Outputs
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (log.f64 (/.f64 #s(literal 1 binary64) y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (log.f64 (/.f64 #s(literal 1 binary64) y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (log.f64 (/.f64 #s(literal 1 binary64) y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (log.f64 (/.f64 #s(literal 1 binary64) y))))>
#<alt (*.f64 y (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) y)))))>
#<alt (*.f64 y (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) y)))))>
#<alt (*.f64 y (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) y)))))>
#<alt (*.f64 y (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) y)))))>
#<alt (-.f64 (*.f64 y (log.f64 y)) z)>
#<alt x>
#<alt (*.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (log.f64 y)) x)) (/.f64 z x)))>
#<alt (*.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (log.f64 y)) x)) (/.f64 z x)))>
#<alt (*.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (log.f64 y)) x)) (/.f64 z x)))>
#<alt x>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 y (log.f64 y)) z) x)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 y (log.f64 y)) z) x)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 y (log.f64 y)) z) x)) #s(literal 1 binary64))))>
#<alt (-.f64 x z)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (log.f64 (/.f64 #s(literal 1 binary64) y))))>
#<alt (*.f64 y (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) y))) (/.f64 x y)) (/.f64 z y)))>
#<alt (*.f64 y (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) y))) (/.f64 x y)) (/.f64 z y)))>
#<alt (*.f64 y (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) y))) (/.f64 x y)) (/.f64 z y)))>
#<alt (*.f64 y (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) y))))) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 x z) y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) y))))) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 x z) y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) y))))) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 x z) y)))))>
#<alt (+.f64 x (*.f64 y (log.f64 y)))>
#<alt (+.f64 x (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 y (log.f64 y))))>
#<alt (+.f64 x (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 y (log.f64 y))))>
#<alt (+.f64 x (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 y (log.f64 y))))>
#<alt (*.f64 #s(literal -1 binary64) z)>
#<alt (*.f64 z (-.f64 (+.f64 (/.f64 x z) (/.f64 (*.f64 y (log.f64 y)) z)) #s(literal 1 binary64)))>
#<alt (*.f64 z (-.f64 (+.f64 (/.f64 x z) (/.f64 (*.f64 y (log.f64 y)) z)) #s(literal 1 binary64)))>
#<alt (*.f64 z (-.f64 (+.f64 (/.f64 x z) (/.f64 (*.f64 y (log.f64 y)) z)) #s(literal 1 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) z)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (*.f64 y (log.f64 y))) z)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (*.f64 y (log.f64 y))) z)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (*.f64 y (log.f64 y))) z)))))>
#<alt (*.f64 y (log.f64 y))>
#<alt x>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (log.f64 y)) x)))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (log.f64 y)) x)))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (log.f64 y)) x)))>
#<alt x>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y (log.f64 y)) x)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y (log.f64 y)) x)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y (log.f64 y)) x)) #s(literal 1 binary64))))>
#<alt x>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (log.f64 (/.f64 #s(literal 1 binary64) y))))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) y))) (/.f64 x y)))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) y))) (/.f64 x y)))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) y))) (/.f64 x y)))>
#<alt (*.f64 y (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) y))))) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) y))))) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) y))))) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))>
#<alt (/.f64 #s(literal 1 binary64) (exp.f64 (-.f64 z x)))>
#<alt (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (-.f64 z x))) (/.f64 (*.f64 y (log.f64 y)) (exp.f64 (-.f64 z x))))>
#<alt (+.f64 (*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y (pow.f64 (log.f64 y) #s(literal 2 binary64))) (exp.f64 (-.f64 z x)))) (/.f64 (log.f64 y) (exp.f64 (-.f64 z x))))) (/.f64 #s(literal 1 binary64) (exp.f64 (-.f64 z x))))>
#<alt (+.f64 (*.f64 y (+.f64 (*.f64 y (+.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 y (pow.f64 (log.f64 y) #s(literal 3 binary64))) (exp.f64 (-.f64 z x)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) (exp.f64 (-.f64 z x)))))) (/.f64 (log.f64 y) (exp.f64 (-.f64 z x))))) (/.f64 #s(literal 1 binary64) (exp.f64 (-.f64 z x))))>
#<alt (/.f64 (pow.f64 y y) (exp.f64 (neg.f64 x)))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 z (pow.f64 y y)) (exp.f64 (neg.f64 x)))) (/.f64 (pow.f64 y y) (exp.f64 (neg.f64 x))))>
#<alt (+.f64 (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y y) (exp.f64 (neg.f64 x)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y y) (exp.f64 (neg.f64 x))))))) (/.f64 (pow.f64 y y) (exp.f64 (neg.f64 x))))) (/.f64 (pow.f64 y y) (exp.f64 (neg.f64 x))))>
#<alt (+.f64 (*.f64 z (-.f64 (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y y) (exp.f64 (neg.f64 x)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y y) (exp.f64 (neg.f64 x)))))) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 y y) (exp.f64 (neg.f64 x)))) (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 y y) (exp.f64 (neg.f64 x)))))))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y y) (exp.f64 (neg.f64 x)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y y) (exp.f64 (neg.f64 x))))))) (/.f64 (pow.f64 y y) (exp.f64 (neg.f64 x))))) (/.f64 (pow.f64 y y) (exp.f64 (neg.f64 x))))>
#<alt (/.f64 (pow.f64 y y) (exp.f64 (neg.f64 (+.f64 x (*.f64 #s(literal -1 binary64) z)))))>
#<alt (/.f64 (pow.f64 y y) (exp.f64 (neg.f64 (+.f64 x (*.f64 #s(literal -1 binary64) z)))))>
#<alt (/.f64 (pow.f64 y y) (exp.f64 (neg.f64 (+.f64 x (*.f64 #s(literal -1 binary64) z)))))>
#<alt (/.f64 (pow.f64 y y) (exp.f64 (neg.f64 (+.f64 x (*.f64 #s(literal -1 binary64) z)))))>
#<alt (/.f64 (pow.f64 y y) (exp.f64 z))>
#<alt (+.f64 (/.f64 (*.f64 x (pow.f64 y y)) (exp.f64 z)) (/.f64 (pow.f64 y y) (exp.f64 z)))>
#<alt (+.f64 (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y y) (exp.f64 z))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y y) (exp.f64 z)))))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y y) (exp.f64 z))))) (/.f64 (pow.f64 y y) (exp.f64 z)))>
#<alt (+.f64 (*.f64 x (-.f64 (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y y) (exp.f64 z))) (+.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 (pow.f64 y y) (exp.f64 z))) (/.f64 (pow.f64 y y) (exp.f64 z)))))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y y) (exp.f64 z))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y y) (exp.f64 z)))))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y y) (exp.f64 z))))) (/.f64 (pow.f64 y y) (exp.f64 z)))>
#<alt (/.f64 (pow.f64 y y) (exp.f64 (+.f64 z (*.f64 #s(literal -1 binary64) x))))>
#<alt (/.f64 (pow.f64 y y) (exp.f64 (+.f64 z (*.f64 #s(literal -1 binary64) x))))>
#<alt (/.f64 (pow.f64 y y) (exp.f64 (+.f64 z (*.f64 #s(literal -1 binary64) x))))>
#<alt (/.f64 (pow.f64 y y) (exp.f64 (+.f64 z (*.f64 #s(literal -1 binary64) x))))>
Calls

27 calls:

TimeVariablePointExpression
38.0ms
y
@0
(* y (log y))
19.0ms
y
@-inf
(* y (log y))
12.0ms
z
@inf
(/ (pow y y) (exp (- z x)))
8.0ms
y
@inf
(* y (log y))
6.0ms
x
@0
(- (+ x (* y (log y))) z)

rewrite278.0ms (6.1%)

Algorithm
batch-egg-rewrite
Rules
1426×fma-define
969×log1p-expm1-u
969×expm1-log1p-u
700×fma-neg
178×associate-*r*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
018113
1262105
23908105
Stop Event
node limit
Counts
4 → 217
Calls
Call 1
Inputs
(*.f64 y (log.f64 y))
(-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)
(+.f64 x (*.f64 y (log.f64 y)))
(/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x)))
Outputs
(+.f64 #s(literal 0 binary64) (*.f64 y (log.f64 y)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 y y)) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 y y))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 y y))) (log.f64 (sqrt.f64 (pow.f64 y y))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (log.f64 y)))) #s(literal 1 binary64))
(pow.f64 (*.f64 y (log.f64 y)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 y (log.f64 y))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y (log.f64 y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 y (log.f64 y))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 y (log.f64 y)) #s(literal 2 binary64)))
(log.f64 (pow.f64 y y))
(log.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 y y) #s(literal 1 binary64))))
(cbrt.f64 (pow.f64 (*.f64 y (log.f64 y)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 y (log.f64 y))))
(log1p.f64 (-.f64 (pow.f64 y y) #s(literal 1 binary64)))
(exp.f64 (log.f64 (*.f64 y (log.f64 y))))
(exp.f64 (*.f64 (log.f64 (*.f64 y (log.f64 y))) #s(literal 1 binary64)))
(+.f64 (*.f64 y (log.f64 y)) (-.f64 x z))
(+.f64 x (-.f64 (*.f64 y (log.f64 y)) z))
(+.f64 x (*.f64 (-.f64 (*.f64 y (log.f64 y)) z) #s(literal 1 binary64)))
(+.f64 (fma.f64 y (log.f64 y) x) (neg.f64 z))
(+.f64 (fma.f64 y (log.f64 y) x) (*.f64 (neg.f64 z) #s(literal 1 binary64)))
(+.f64 (fma.f64 y (log.f64 y) (-.f64 x z)) (fma.f64 (neg.f64 z) #s(literal 1 binary64) z))
(+.f64 (fma.f64 y (log.f64 y) (-.f64 x z)) (fma.f64 (neg.f64 (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) z))
(+.f64 (fma.f64 y (log.f64 y) (-.f64 x z)) (fma.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 z) z))
(+.f64 (neg.f64 z) (fma.f64 y (log.f64 y) x))
(+.f64 (-.f64 (*.f64 y (log.f64 y)) z) x)
(*.f64 (fma.f64 y (log.f64 y) (-.f64 x z)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 y (log.f64 y) (-.f64 x z)))
(*.f64 (cbrt.f64 (fma.f64 y (log.f64 y) (-.f64 x z))) (pow.f64 (cbrt.f64 (fma.f64 y (log.f64 y) (-.f64 x z))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 y (log.f64 y) (-.f64 x z))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 y (log.f64 y) (-.f64 x z))))
(*.f64 (sqrt.f64 (fma.f64 y (log.f64 y) (-.f64 x z))) (sqrt.f64 (fma.f64 y (log.f64 y) (-.f64 x z))))
(*.f64 (-.f64 (pow.f64 (fma.f64 y (log.f64 y) x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 z (fma.f64 y (log.f64 y) (+.f64 x z)) (pow.f64 (fma.f64 y (log.f64 y) x) #s(literal 2 binary64)))))
(*.f64 (-.f64 (pow.f64 (fma.f64 y (log.f64 y) x) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (log.f64 y) (+.f64 x z))))
(*.f64 (+.f64 (sqrt.f64 (fma.f64 y (log.f64 y) x)) (sqrt.f64 z)) (-.f64 (sqrt.f64 (fma.f64 y (log.f64 y) x)) (sqrt.f64 z)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z (fma.f64 y (log.f64 y) (+.f64 x z)) (pow.f64 (fma.f64 y (log.f64 y) x) #s(literal 2 binary64))) (-.f64 (pow.f64 (fma.f64 y (log.f64 y) x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (log.f64 y) (+.f64 x z)) (-.f64 (pow.f64 (fma.f64 y (log.f64 y) x) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (fma.f64 y (log.f64 y) x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 z (fma.f64 y (log.f64 y) (+.f64 x z)) (pow.f64 (fma.f64 y (log.f64 y) x) #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 (fma.f64 y (log.f64 y) x) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (fma.f64 y (log.f64 y) (+.f64 x z)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 y (log.f64 y) x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (neg.f64 (fma.f64 z (fma.f64 y (log.f64 y) (+.f64 x z)) (pow.f64 (fma.f64 y (log.f64 y) x) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 y (log.f64 y) x) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (neg.f64 (fma.f64 y (log.f64 y) (+.f64 x z))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (-.f64 (*.f64 y (log.f64 y)) z) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (*.f64 (-.f64 (*.f64 y (log.f64 y)) z) (-.f64 (*.f64 y (log.f64 y)) z)) (*.f64 x (-.f64 (*.f64 y (log.f64 y)) z)))))
(/.f64 (+.f64 (pow.f64 (fma.f64 y (log.f64 y) x) #s(literal 3 binary64)) (pow.f64 (neg.f64 z) #s(literal 3 binary64))) (+.f64 (pow.f64 (fma.f64 y (log.f64 y) x) #s(literal 2 binary64)) (-.f64 (*.f64 (neg.f64 z) (neg.f64 z)) (*.f64 (fma.f64 y (log.f64 y) x) (neg.f64 z)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (-.f64 (*.f64 y (log.f64 y)) z) (-.f64 (*.f64 y (log.f64 y)) z))) (-.f64 x (-.f64 (*.f64 y (log.f64 y)) z)))
(/.f64 (-.f64 (pow.f64 (fma.f64 y (log.f64 y) x) #s(literal 2 binary64)) (*.f64 (neg.f64 z) (neg.f64 z))) (-.f64 (fma.f64 y (log.f64 y) x) (neg.f64 z)))
(pow.f64 (fma.f64 y (log.f64 y) (-.f64 x z)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 y (log.f64 y) (-.f64 x z))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 y (log.f64 y) (-.f64 x z)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 y (log.f64 y) (-.f64 x z))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 y (log.f64 y) (-.f64 x z)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 y (log.f64 y) (-.f64 x z))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 y (log.f64 y) (-.f64 x z)))))
(cbrt.f64 (pow.f64 (fma.f64 y (log.f64 y) (-.f64 x z)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 y (log.f64 y) (-.f64 x z))))
(log1p.f64 (expm1.f64 (fma.f64 y (log.f64 y) (-.f64 x z))))
(exp.f64 (log.f64 (fma.f64 y (log.f64 y) (-.f64 x z))))
(exp.f64 (*.f64 (log.f64 (fma.f64 y (log.f64 y) (-.f64 x z))) #s(literal 1 binary64)))
(fma.f64 y (log.f64 y) (-.f64 x z))
(fma.f64 (log.f64 y) y (-.f64 x z))
(fma.f64 (*.f64 y (log.f64 y)) #s(literal 1 binary64) (-.f64 x z))
(fma.f64 x #s(literal 1 binary64) (-.f64 (*.f64 y (log.f64 y)) z))
(fma.f64 x #s(literal 1 binary64) (*.f64 (-.f64 (*.f64 y (log.f64 y)) z) #s(literal 1 binary64)))
(fma.f64 (fma.f64 y (log.f64 y) x) #s(literal 1 binary64) (neg.f64 z))
(fma.f64 (fma.f64 y (log.f64 y) x) #s(literal 1 binary64) (*.f64 (neg.f64 z) #s(literal 1 binary64)))
(fma.f64 (fma.f64 y (log.f64 y) (-.f64 x z)) #s(literal 1 binary64) (fma.f64 (neg.f64 z) #s(literal 1 binary64) z))
(fma.f64 (fma.f64 y (log.f64 y) (-.f64 x z)) #s(literal 1 binary64) (fma.f64 (neg.f64 (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) z))
(fma.f64 (fma.f64 y (log.f64 y) (-.f64 x z)) #s(literal 1 binary64) (fma.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 z) z))
(fma.f64 #s(literal 1 binary64) (*.f64 y (log.f64 y)) (-.f64 x z))
(fma.f64 #s(literal 1 binary64) x (-.f64 (*.f64 y (log.f64 y)) z))
(fma.f64 #s(literal 1 binary64) x (*.f64 (-.f64 (*.f64 y (log.f64 y)) z) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (fma.f64 y (log.f64 y) x) (neg.f64 z))
(fma.f64 #s(literal 1 binary64) (fma.f64 y (log.f64 y) x) (*.f64 (neg.f64 z) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (fma.f64 y (log.f64 y) (-.f64 x z)) (fma.f64 (neg.f64 z) #s(literal 1 binary64) z))
(fma.f64 #s(literal 1 binary64) (fma.f64 y (log.f64 y) (-.f64 x z)) (fma.f64 (neg.f64 (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) z))
(fma.f64 #s(literal 1 binary64) (fma.f64 y (log.f64 y) (-.f64 x z)) (fma.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 z) z))
(fma.f64 #s(literal 1 binary64) (neg.f64 z) (fma.f64 y (log.f64 y) x))
(fma.f64 #s(literal 1 binary64) (-.f64 (*.f64 y (log.f64 y)) z) x)
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 y)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (log.f64 y)) y) (-.f64 x z))
(fma.f64 (cbrt.f64 (fma.f64 y (log.f64 y) (-.f64 x z))) (pow.f64 (cbrt.f64 (fma.f64 y (log.f64 y) (-.f64 x z))) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) #s(literal 1 binary64) z))
(fma.f64 (cbrt.f64 (fma.f64 y (log.f64 y) (-.f64 x z))) (pow.f64 (cbrt.f64 (fma.f64 y (log.f64 y) (-.f64 x z))) #s(literal 2 binary64)) (fma.f64 (neg.f64 (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) z))
(fma.f64 (cbrt.f64 (fma.f64 y (log.f64 y) (-.f64 x z))) (pow.f64 (cbrt.f64 (fma.f64 y (log.f64 y) (-.f64 x z))) #s(literal 2 binary64)) (fma.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 z) z))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 y (log.f64 y) (-.f64 x z))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 y (log.f64 y) (-.f64 x z))) (fma.f64 (neg.f64 z) #s(literal 1 binary64) z))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 y (log.f64 y) (-.f64 x z))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 y (log.f64 y) (-.f64 x z))) (fma.f64 (neg.f64 (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) z))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 y (log.f64 y) (-.f64 x z))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 y (log.f64 y) (-.f64 x z))) (fma.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 z) z))
(fma.f64 (cbrt.f64 (fma.f64 y (log.f64 y) x)) (pow.f64 (cbrt.f64 (fma.f64 y (log.f64 y) x)) #s(literal 2 binary64)) (neg.f64 z))
(fma.f64 (cbrt.f64 (fma.f64 y (log.f64 y) x)) (pow.f64 (cbrt.f64 (fma.f64 y (log.f64 y) x)) #s(literal 2 binary64)) (*.f64 (neg.f64 z) #s(literal 1 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 y (log.f64 y) x)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 y (log.f64 y) x)) (neg.f64 z))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 y (log.f64 y) x)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 y (log.f64 y) x)) (*.f64 (neg.f64 z) #s(literal 1 binary64)))
(fma.f64 (cbrt.f64 (*.f64 y (log.f64 y))) (pow.f64 (cbrt.f64 (*.f64 y (log.f64 y))) #s(literal 2 binary64)) (-.f64 x z))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 y (log.f64 y))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 y (log.f64 y))) (-.f64 x z))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) (log.f64 y)) (-.f64 x z))
(fma.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 z)) (fma.f64 y (log.f64 y) x))
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (-.f64 (*.f64 y (log.f64 y)) z))
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (-.f64 (*.f64 y (log.f64 y)) z) #s(literal 1 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (-.f64 (*.f64 y (log.f64 y)) z))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (*.f64 (-.f64 (*.f64 y (log.f64 y)) z) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 (log.f64 y)) (*.f64 (sqrt.f64 (log.f64 y)) y) (-.f64 x z))
(fma.f64 (sqrt.f64 (fma.f64 y (log.f64 y) (-.f64 x z))) (sqrt.f64 (fma.f64 y (log.f64 y) (-.f64 x z))) (fma.f64 (neg.f64 z) #s(literal 1 binary64) z))
(fma.f64 (sqrt.f64 (fma.f64 y (log.f64 y) (-.f64 x z))) (sqrt.f64 (fma.f64 y (log.f64 y) (-.f64 x z))) (fma.f64 (neg.f64 (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) z))
(fma.f64 (sqrt.f64 (fma.f64 y (log.f64 y) (-.f64 x z))) (sqrt.f64 (fma.f64 y (log.f64 y) (-.f64 x z))) (fma.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 z) z))
(fma.f64 (sqrt.f64 (fma.f64 y (log.f64 y) x)) (sqrt.f64 (fma.f64 y (log.f64 y) x)) (neg.f64 z))
(fma.f64 (sqrt.f64 (fma.f64 y (log.f64 y) x)) (sqrt.f64 (fma.f64 y (log.f64 y) x)) (*.f64 (neg.f64 z) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 (*.f64 y (log.f64 y))) (sqrt.f64 (*.f64 y (log.f64 y))) (-.f64 x z))
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (log.f64 y)) (-.f64 x z))
(fma.f64 (sqrt.f64 z) (neg.f64 (sqrt.f64 z)) (fma.f64 y (log.f64 y) x))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (-.f64 (*.f64 y (log.f64 y)) z))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (-.f64 (*.f64 y (log.f64 y)) z) #s(literal 1 binary64)))
(fma.f64 (+.f64 (pow.f64 (*.f64 y (log.f64 y)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y (log.f64 y)) (fma.f64 y (log.f64 y) (neg.f64 x)) (pow.f64 x #s(literal 2 binary64)))) (neg.f64 z))
(fma.f64 (+.f64 (pow.f64 (*.f64 y (log.f64 y)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y (log.f64 y)) (fma.f64 y (log.f64 y) (neg.f64 x)) (pow.f64 x #s(literal 2 binary64)))) (*.f64 (neg.f64 z) #s(literal 1 binary64)))
(fma.f64 (-.f64 (pow.f64 (fma.f64 y (log.f64 y) x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 z (fma.f64 y (log.f64 y) (+.f64 x z)) (pow.f64 (fma.f64 y (log.f64 y) x) #s(literal 2 binary64)))) (fma.f64 (neg.f64 z) #s(literal 1 binary64) z))
(fma.f64 (-.f64 (pow.f64 (fma.f64 y (log.f64 y) x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 z (fma.f64 y (log.f64 y) (+.f64 x z)) (pow.f64 (fma.f64 y (log.f64 y) x) #s(literal 2 binary64)))) (fma.f64 (neg.f64 (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) z))
(fma.f64 (-.f64 (pow.f64 (fma.f64 y (log.f64 y) x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 z (fma.f64 y (log.f64 y) (+.f64 x z)) (pow.f64 (fma.f64 y (log.f64 y) x) #s(literal 2 binary64)))) (fma.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 z) z))
(fma.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 y (log.f64 y)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 y (log.f64 y)))) (neg.f64 z))
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(fma.f64 (-.f64 (pow.f64 (fma.f64 y (log.f64 y) x) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (log.f64 y) (+.f64 x z))) (fma.f64 (neg.f64 z) #s(literal 1 binary64) z))
(fma.f64 (-.f64 (pow.f64 (fma.f64 y (log.f64 y) x) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (log.f64 y) (+.f64 x z))) (fma.f64 (neg.f64 (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) z))
(fma.f64 (-.f64 (pow.f64 (fma.f64 y (log.f64 y) x) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (log.f64 y) (+.f64 x z))) (fma.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 z) z))
(fma.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 z) (fma.f64 y (log.f64 y) x))
(fma.f64 #s(literal -1 binary64) z (fma.f64 y (log.f64 y) x))
(fma.f64 (*.f64 (cbrt.f64 (neg.f64 z)) (cbrt.f64 (neg.f64 z))) (cbrt.f64 (neg.f64 z)) (fma.f64 y (log.f64 y) x))
(fma.f64 (*.f64 (cbrt.f64 (-.f64 (*.f64 y (log.f64 y)) z)) (cbrt.f64 (-.f64 (*.f64 y (log.f64 y)) z))) (cbrt.f64 (-.f64 (*.f64 y (log.f64 y)) z)) x)
(fma.f64 (sqrt.f64 (neg.f64 z)) (sqrt.f64 (neg.f64 z)) (fma.f64 y (log.f64 y) x))
(fma.f64 (sqrt.f64 (-.f64 (*.f64 y (log.f64 y)) z)) (sqrt.f64 (-.f64 (*.f64 y (log.f64 y)) z)) x)
(fma.f64 (+.f64 (sqrt.f64 (fma.f64 y (log.f64 y) x)) (sqrt.f64 z)) (-.f64 (sqrt.f64 (fma.f64 y (log.f64 y) x)) (sqrt.f64 z)) (fma.f64 (neg.f64 z) #s(literal 1 binary64) z))
(fma.f64 (+.f64 (sqrt.f64 (fma.f64 y (log.f64 y) x)) (sqrt.f64 z)) (-.f64 (sqrt.f64 (fma.f64 y (log.f64 y) x)) (sqrt.f64 z)) (fma.f64 (neg.f64 (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) z))
(fma.f64 (+.f64 (sqrt.f64 (fma.f64 y (log.f64 y) x)) (sqrt.f64 z)) (-.f64 (sqrt.f64 (fma.f64 y (log.f64 y) x)) (sqrt.f64 z)) (fma.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 z) z))
(fma.f64 (fma.f64 (sqrt.f64 (log.f64 y)) (sqrt.f64 y) (sqrt.f64 z)) (-.f64 (sqrt.f64 (*.f64 y (log.f64 y))) (sqrt.f64 z)) x)
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z) (fma.f64 y (log.f64 y) x))
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 (log.f64 y)) #s(literal 2 binary64))) (cbrt.f64 (log.f64 y)) (-.f64 x z))
(fma.f64 (*.f64 y (sqrt.f64 (log.f64 y))) (sqrt.f64 (log.f64 y)) (-.f64 x z))
(fma.f64 (*.f64 (log.f64 y) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (-.f64 x z))
(fma.f64 (*.f64 (log.f64 y) (sqrt.f64 y)) (sqrt.f64 y) (-.f64 x z))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 y (log.f64 y) x))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 x (*.f64 y (log.f64 y)))) (/.f64 (pow.f64 (*.f64 y (log.f64 y)) #s(literal 2 binary64)) (-.f64 x (*.f64 y (log.f64 y)))))
(*.f64 (fma.f64 y (log.f64 y) x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 y (log.f64 y) x))
(*.f64 (cbrt.f64 (fma.f64 y (log.f64 y) x)) (pow.f64 (cbrt.f64 (fma.f64 y (log.f64 y) x)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 y (log.f64 y) x)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 y (log.f64 y) x)))
(*.f64 (sqrt.f64 (fma.f64 y (log.f64 y) x)) (sqrt.f64 (fma.f64 y (log.f64 y) x)))
(*.f64 (+.f64 (pow.f64 (*.f64 y (log.f64 y)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y (log.f64 y)) (fma.f64 y (log.f64 y) (neg.f64 x)) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 y (log.f64 y)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 y (log.f64 y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 y (log.f64 y)) (fma.f64 y (log.f64 y) (neg.f64 x)) (pow.f64 x #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 y (log.f64 y)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (*.f64 y (log.f64 y))) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 y (log.f64 y)) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 y (log.f64 y)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (*.f64 y (log.f64 y)) (fma.f64 y (log.f64 y) (neg.f64 x)) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (*.f64 y (log.f64 y)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 y (log.f64 y)) #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (*.f64 y (log.f64 y)) x))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 y (log.f64 y)) #s(literal 2 binary64))) (-.f64 x (*.f64 y (log.f64 y))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 y (log.f64 y)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 y (log.f64 y)) (fma.f64 y (log.f64 y) (neg.f64 x)) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 y (log.f64 y)) #s(literal 2 binary64)))) (neg.f64 (-.f64 x (*.f64 y (log.f64 y)))))
(/.f64 (-.f64 (pow.f64 (*.f64 y (log.f64 y)) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (fma.f64 y (log.f64 y) (neg.f64 x)))
(pow.f64 (fma.f64 y (log.f64 y) x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 y (log.f64 y) x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 y (log.f64 y) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 y (log.f64 y) x)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 y (log.f64 y) x) #s(literal 2 binary64)))
(log.f64 (*.f64 (pow.f64 y y) (exp.f64 x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 y (log.f64 y) x))))
(cbrt.f64 (pow.f64 (fma.f64 y (log.f64 y) x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 y (log.f64 y) x)))
(log1p.f64 (expm1.f64 (fma.f64 y (log.f64 y) x)))
(exp.f64 (log.f64 (fma.f64 y (log.f64 y) x)))
(exp.f64 (*.f64 (log.f64 (fma.f64 y (log.f64 y) x)) #s(literal 1 binary64)))
(fma.f64 y (log.f64 y) x)
(fma.f64 (log.f64 y) y x)
(fma.f64 (*.f64 y (log.f64 y)) #s(literal 1 binary64) x)
(fma.f64 x #s(literal 1 binary64) (*.f64 y (log.f64 y)))
(fma.f64 #s(literal 1 binary64) (*.f64 y (log.f64 y)) x)
(fma.f64 #s(literal 1 binary64) x (*.f64 y (log.f64 y)))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 y)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (log.f64 y)) y) x)
(fma.f64 (cbrt.f64 (*.f64 y (log.f64 y))) (pow.f64 (cbrt.f64 (*.f64 y (log.f64 y))) #s(literal 2 binary64)) x)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 y (log.f64 y))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 y (log.f64 y))) x)
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) (log.f64 y)) x)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 y (log.f64 y)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (*.f64 y (log.f64 y)))
(fma.f64 (sqrt.f64 (log.f64 y)) (*.f64 (sqrt.f64 (log.f64 y)) y) x)
(fma.f64 (sqrt.f64 (*.f64 y (log.f64 y))) (sqrt.f64 (*.f64 y (log.f64 y))) x)
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (log.f64 y)) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 y (log.f64 y)))
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 (log.f64 y)) #s(literal 2 binary64))) (cbrt.f64 (log.f64 y)) x)
(fma.f64 (*.f64 y (sqrt.f64 (log.f64 y))) (sqrt.f64 (log.f64 y)) x)
(fma.f64 (*.f64 (log.f64 y) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) x)
(fma.f64 (*.f64 (log.f64 y) (sqrt.f64 y)) (sqrt.f64 y) x)
(-.f64 (exp.f64 (log1p.f64 (/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x))))) #s(literal 1 binary64))
(*.f64 (pow.f64 y y) (exp.f64 (neg.f64 (-.f64 z x))))
(*.f64 (/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x))))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 y y)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (pow.f64 y y)) (exp.f64 (-.f64 z x))))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 y y)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (pow.f64 y y)) (exp.f64 (neg.f64 (-.f64 z x)))))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x)))) (pow.f64 (cbrt.f64 (/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x)))) #s(literal 2 binary64)) (cbrt.f64 (/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x)))))
(*.f64 (sqrt.f64 (/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x)))) (sqrt.f64 (/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x)))))
(*.f64 (neg.f64 (pow.f64 y y)) (/.f64 #s(literal 1 binary64) (neg.f64 (exp.f64 (-.f64 z x)))))
(*.f64 (exp.f64 (neg.f64 (-.f64 z x))) (pow.f64 y y))
(*.f64 (sqrt.f64 (pow.f64 y y)) (/.f64 (sqrt.f64 (pow.f64 y y)) (exp.f64 (-.f64 z x))))
(*.f64 (sqrt.f64 (pow.f64 y y)) (*.f64 (sqrt.f64 (pow.f64 y y)) (exp.f64 (neg.f64 (-.f64 z x)))))
(*.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) (exp.f64 x))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (exp.f64 (-.f64 z x))) #s(literal 2 binary64))) (/.f64 (pow.f64 y y) (cbrt.f64 (exp.f64 (-.f64 z x)))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (exp.f64 (-.f64 z x)))) (/.f64 (pow.f64 y y) (sqrt.f64 (exp.f64 (-.f64 z x)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (pow.f64 y y)) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (pow.f64 y y)) (exp.f64 (-.f64 z x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (pow.f64 y y)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (exp.f64 (-.f64 z x))) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (pow.f64 y y)) #s(literal 2 binary64)) (sqrt.f64 (exp.f64 (-.f64 z x)))) (/.f64 (cbrt.f64 (pow.f64 y y)) (sqrt.f64 (exp.f64 (-.f64 z x)))))
(*.f64 (/.f64 (sqrt.f64 (pow.f64 y y)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (pow.f64 y y)) (exp.f64 (-.f64 z x))))
(*.f64 (/.f64 (sqrt.f64 (pow.f64 y y)) (pow.f64 (cbrt.f64 (exp.f64 (-.f64 z x))) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (pow.f64 y y)) (cbrt.f64 (exp.f64 (-.f64 z x)))))
(pow.f64 (/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x)))) #s(literal 2 binary64))
(pow.f64 (/.f64 (exp.f64 (-.f64 z x)) (pow.f64 y y)) #s(literal -1 binary64))
(neg.f64 (/.f64 (pow.f64 y y) (neg.f64 (exp.f64 (-.f64 z x)))))
(neg.f64 (/.f64 (neg.f64 (pow.f64 y y)) (exp.f64 (-.f64 z x))))
(sqrt.f64 (pow.f64 (/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x))))))
(cbrt.f64 (pow.f64 (/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x))) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (pow.f64 y y) #s(literal 3 binary64)) (pow.f64 (exp.f64 (-.f64 z x)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x)))))
(log1p.f64 (expm1.f64 (/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x)))))
(exp.f64 (-.f64 (*.f64 y (log.f64 y)) (-.f64 z x)))
(exp.f64 (*.f64 (-.f64 (*.f64 y (log.f64 y)) (-.f64 z x)) #s(literal 1 binary64)))

simplify186.0ms (4.1%)

Algorithm
egg-herbie
Rules
1450×fma-neg
656×distribute-lft-neg-in
592×distribute-rgt-neg-in
428×sub-neg
408×unsub-neg
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
055513103
1137012277
2447112170
Stop Event
node limit
Counts
293 → 330
Calls
Call 1
Inputs
(*.f64 #s(literal -1 binary64) (*.f64 y (log.f64 (/.f64 #s(literal 1 binary64) y))))
(*.f64 #s(literal -1 binary64) (*.f64 y (log.f64 (/.f64 #s(literal 1 binary64) y))))
(*.f64 #s(literal -1 binary64) (*.f64 y (log.f64 (/.f64 #s(literal 1 binary64) y))))
(*.f64 #s(literal -1 binary64) (*.f64 y (log.f64 (/.f64 #s(literal 1 binary64) y))))
(*.f64 y (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) y)))))
(*.f64 y (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) y)))))
(*.f64 y (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) y)))))
(*.f64 y (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) y)))))
(-.f64 (*.f64 y (log.f64 y)) z)
x
(*.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (log.f64 y)) x)) (/.f64 z x)))
(*.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (log.f64 y)) x)) (/.f64 z x)))
(*.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (log.f64 y)) x)) (/.f64 z x)))
x
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 y (log.f64 y)) z) x)) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 y (log.f64 y)) z) x)) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 y (log.f64 y)) z) x)) #s(literal 1 binary64))))
(-.f64 x z)
(*.f64 #s(literal -1 binary64) (*.f64 y (log.f64 (/.f64 #s(literal 1 binary64) y))))
(*.f64 y (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) y))) (/.f64 x y)) (/.f64 z y)))
(*.f64 y (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) y))) (/.f64 x y)) (/.f64 z y)))
(*.f64 y (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) y))) (/.f64 x y)) (/.f64 z y)))
(*.f64 y (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) y)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) y))))) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 x z) y)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) y))))) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 x z) y)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) y))))) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 x z) y)))))
(+.f64 x (*.f64 y (log.f64 y)))
(+.f64 x (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 y (log.f64 y))))
(+.f64 x (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 y (log.f64 y))))
(+.f64 x (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 y (log.f64 y))))
(*.f64 #s(literal -1 binary64) z)
(*.f64 z (-.f64 (+.f64 (/.f64 x z) (/.f64 (*.f64 y (log.f64 y)) z)) #s(literal 1 binary64)))
(*.f64 z (-.f64 (+.f64 (/.f64 x z) (/.f64 (*.f64 y (log.f64 y)) z)) #s(literal 1 binary64)))
(*.f64 z (-.f64 (+.f64 (/.f64 x z) (/.f64 (*.f64 y (log.f64 y)) z)) #s(literal 1 binary64)))
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(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (-.f64 (*.f64 y (log.f64 y)) z))
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (-.f64 (*.f64 y (log.f64 y)) z) #s(literal 1 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (-.f64 (*.f64 y (log.f64 y)) z))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (*.f64 (-.f64 (*.f64 y (log.f64 y)) z) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 (log.f64 y)) (*.f64 (sqrt.f64 (log.f64 y)) y) (-.f64 x z))
(fma.f64 (sqrt.f64 (fma.f64 y (log.f64 y) (-.f64 x z))) (sqrt.f64 (fma.f64 y (log.f64 y) (-.f64 x z))) (fma.f64 (neg.f64 z) #s(literal 1 binary64) z))
(fma.f64 (sqrt.f64 (fma.f64 y (log.f64 y) (-.f64 x z))) (sqrt.f64 (fma.f64 y (log.f64 y) (-.f64 x z))) (fma.f64 (neg.f64 (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) z))
(fma.f64 (sqrt.f64 (fma.f64 y (log.f64 y) (-.f64 x z))) (sqrt.f64 (fma.f64 y (log.f64 y) (-.f64 x z))) (fma.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 z) z))
(fma.f64 (sqrt.f64 (fma.f64 y (log.f64 y) x)) (sqrt.f64 (fma.f64 y (log.f64 y) x)) (neg.f64 z))
(fma.f64 (sqrt.f64 (fma.f64 y (log.f64 y) x)) (sqrt.f64 (fma.f64 y (log.f64 y) x)) (*.f64 (neg.f64 z) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 (*.f64 y (log.f64 y))) (sqrt.f64 (*.f64 y (log.f64 y))) (-.f64 x z))
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (log.f64 y)) (-.f64 x z))
(fma.f64 (sqrt.f64 z) (neg.f64 (sqrt.f64 z)) (fma.f64 y (log.f64 y) x))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (-.f64 (*.f64 y (log.f64 y)) z))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (-.f64 (*.f64 y (log.f64 y)) z) #s(literal 1 binary64)))
(fma.f64 (+.f64 (pow.f64 (*.f64 y (log.f64 y)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y (log.f64 y)) (fma.f64 y (log.f64 y) (neg.f64 x)) (pow.f64 x #s(literal 2 binary64)))) (neg.f64 z))
(fma.f64 (+.f64 (pow.f64 (*.f64 y (log.f64 y)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y (log.f64 y)) (fma.f64 y (log.f64 y) (neg.f64 x)) (pow.f64 x #s(literal 2 binary64)))) (*.f64 (neg.f64 z) #s(literal 1 binary64)))
(fma.f64 (-.f64 (pow.f64 (fma.f64 y (log.f64 y) x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 z (fma.f64 y (log.f64 y) (+.f64 x z)) (pow.f64 (fma.f64 y (log.f64 y) x) #s(literal 2 binary64)))) (fma.f64 (neg.f64 z) #s(literal 1 binary64) z))
(fma.f64 (-.f64 (pow.f64 (fma.f64 y (log.f64 y) x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 z (fma.f64 y (log.f64 y) (+.f64 x z)) (pow.f64 (fma.f64 y (log.f64 y) x) #s(literal 2 binary64)))) (fma.f64 (neg.f64 (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) z))
(fma.f64 (-.f64 (pow.f64 (fma.f64 y (log.f64 y) x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 z (fma.f64 y (log.f64 y) (+.f64 x z)) (pow.f64 (fma.f64 y (log.f64 y) x) #s(literal 2 binary64)))) (fma.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 z) z))
(fma.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 y (log.f64 y)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 y (log.f64 y)))) (neg.f64 z))
(fma.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 y (log.f64 y)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 y (log.f64 y)))) (*.f64 (neg.f64 z) #s(literal 1 binary64)))
(fma.f64 (-.f64 (pow.f64 (fma.f64 y (log.f64 y) x) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (log.f64 y) (+.f64 x z))) (fma.f64 (neg.f64 z) #s(literal 1 binary64) z))
(fma.f64 (-.f64 (pow.f64 (fma.f64 y (log.f64 y) x) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (log.f64 y) (+.f64 x z))) (fma.f64 (neg.f64 (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) z))
(fma.f64 (-.f64 (pow.f64 (fma.f64 y (log.f64 y) x) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (log.f64 y) (+.f64 x z))) (fma.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 z) z))
(fma.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 z) (fma.f64 y (log.f64 y) x))
(fma.f64 #s(literal -1 binary64) z (fma.f64 y (log.f64 y) x))
(fma.f64 (*.f64 (cbrt.f64 (neg.f64 z)) (cbrt.f64 (neg.f64 z))) (cbrt.f64 (neg.f64 z)) (fma.f64 y (log.f64 y) x))
(fma.f64 (*.f64 (cbrt.f64 (-.f64 (*.f64 y (log.f64 y)) z)) (cbrt.f64 (-.f64 (*.f64 y (log.f64 y)) z))) (cbrt.f64 (-.f64 (*.f64 y (log.f64 y)) z)) x)
(fma.f64 (sqrt.f64 (neg.f64 z)) (sqrt.f64 (neg.f64 z)) (fma.f64 y (log.f64 y) x))
(fma.f64 (sqrt.f64 (-.f64 (*.f64 y (log.f64 y)) z)) (sqrt.f64 (-.f64 (*.f64 y (log.f64 y)) z)) x)
(fma.f64 (+.f64 (sqrt.f64 (fma.f64 y (log.f64 y) x)) (sqrt.f64 z)) (-.f64 (sqrt.f64 (fma.f64 y (log.f64 y) x)) (sqrt.f64 z)) (fma.f64 (neg.f64 z) #s(literal 1 binary64) z))
(fma.f64 (+.f64 (sqrt.f64 (fma.f64 y (log.f64 y) x)) (sqrt.f64 z)) (-.f64 (sqrt.f64 (fma.f64 y (log.f64 y) x)) (sqrt.f64 z)) (fma.f64 (neg.f64 (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) z))
(fma.f64 (+.f64 (sqrt.f64 (fma.f64 y (log.f64 y) x)) (sqrt.f64 z)) (-.f64 (sqrt.f64 (fma.f64 y (log.f64 y) x)) (sqrt.f64 z)) (fma.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 z) z))
(fma.f64 (fma.f64 (sqrt.f64 (log.f64 y)) (sqrt.f64 y) (sqrt.f64 z)) (-.f64 (sqrt.f64 (*.f64 y (log.f64 y))) (sqrt.f64 z)) x)
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z) (fma.f64 y (log.f64 y) x))
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 (log.f64 y)) #s(literal 2 binary64))) (cbrt.f64 (log.f64 y)) (-.f64 x z))
(fma.f64 (*.f64 y (sqrt.f64 (log.f64 y))) (sqrt.f64 (log.f64 y)) (-.f64 x z))
(fma.f64 (*.f64 (log.f64 y) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (-.f64 x z))
(fma.f64 (*.f64 (log.f64 y) (sqrt.f64 y)) (sqrt.f64 y) (-.f64 x z))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 y (log.f64 y) x))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 x (*.f64 y (log.f64 y)))) (/.f64 (pow.f64 (*.f64 y (log.f64 y)) #s(literal 2 binary64)) (-.f64 x (*.f64 y (log.f64 y)))))
(*.f64 (fma.f64 y (log.f64 y) x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 y (log.f64 y) x))
(*.f64 (cbrt.f64 (fma.f64 y (log.f64 y) x)) (pow.f64 (cbrt.f64 (fma.f64 y (log.f64 y) x)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 y (log.f64 y) x)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 y (log.f64 y) x)))
(*.f64 (sqrt.f64 (fma.f64 y (log.f64 y) x)) (sqrt.f64 (fma.f64 y (log.f64 y) x)))
(*.f64 (+.f64 (pow.f64 (*.f64 y (log.f64 y)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y (log.f64 y)) (fma.f64 y (log.f64 y) (neg.f64 x)) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 y (log.f64 y)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 y (log.f64 y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 y (log.f64 y)) (fma.f64 y (log.f64 y) (neg.f64 x)) (pow.f64 x #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 y (log.f64 y)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (*.f64 y (log.f64 y))) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 y (log.f64 y)) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 y (log.f64 y)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (*.f64 y (log.f64 y)) (fma.f64 y (log.f64 y) (neg.f64 x)) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (*.f64 y (log.f64 y)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 y (log.f64 y)) #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (*.f64 y (log.f64 y)) x))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 y (log.f64 y)) #s(literal 2 binary64))) (-.f64 x (*.f64 y (log.f64 y))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 y (log.f64 y)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 y (log.f64 y)) (fma.f64 y (log.f64 y) (neg.f64 x)) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 y (log.f64 y)) #s(literal 2 binary64)))) (neg.f64 (-.f64 x (*.f64 y (log.f64 y)))))
(/.f64 (-.f64 (pow.f64 (*.f64 y (log.f64 y)) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (fma.f64 y (log.f64 y) (neg.f64 x)))
(pow.f64 (fma.f64 y (log.f64 y) x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 y (log.f64 y) x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 y (log.f64 y) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 y (log.f64 y) x)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 y (log.f64 y) x) #s(literal 2 binary64)))
(log.f64 (*.f64 (pow.f64 y y) (exp.f64 x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 y (log.f64 y) x))))
(cbrt.f64 (pow.f64 (fma.f64 y (log.f64 y) x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 y (log.f64 y) x)))
(log1p.f64 (expm1.f64 (fma.f64 y (log.f64 y) x)))
(exp.f64 (log.f64 (fma.f64 y (log.f64 y) x)))
(exp.f64 (*.f64 (log.f64 (fma.f64 y (log.f64 y) x)) #s(literal 1 binary64)))
(fma.f64 y (log.f64 y) x)
(fma.f64 (log.f64 y) y x)
(fma.f64 (*.f64 y (log.f64 y)) #s(literal 1 binary64) x)
(fma.f64 x #s(literal 1 binary64) (*.f64 y (log.f64 y)))
(fma.f64 #s(literal 1 binary64) (*.f64 y (log.f64 y)) x)
(fma.f64 #s(literal 1 binary64) x (*.f64 y (log.f64 y)))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 y)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (log.f64 y)) y) x)
(fma.f64 (cbrt.f64 (*.f64 y (log.f64 y))) (pow.f64 (cbrt.f64 (*.f64 y (log.f64 y))) #s(literal 2 binary64)) x)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 y (log.f64 y))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 y (log.f64 y))) x)
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) (log.f64 y)) x)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 y (log.f64 y)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (*.f64 y (log.f64 y)))
(fma.f64 (sqrt.f64 (log.f64 y)) (*.f64 (sqrt.f64 (log.f64 y)) y) x)
(fma.f64 (sqrt.f64 (*.f64 y (log.f64 y))) (sqrt.f64 (*.f64 y (log.f64 y))) x)
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (log.f64 y)) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 y (log.f64 y)))
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 (log.f64 y)) #s(literal 2 binary64))) (cbrt.f64 (log.f64 y)) x)
(fma.f64 (*.f64 y (sqrt.f64 (log.f64 y))) (sqrt.f64 (log.f64 y)) x)
(fma.f64 (*.f64 (log.f64 y) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) x)
(fma.f64 (*.f64 (log.f64 y) (sqrt.f64 y)) (sqrt.f64 y) x)
(-.f64 (exp.f64 (log1p.f64 (/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x))))) #s(literal 1 binary64))
(*.f64 (pow.f64 y y) (exp.f64 (neg.f64 (-.f64 z x))))
(*.f64 (/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x))))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 y y)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (pow.f64 y y)) (exp.f64 (-.f64 z x))))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 y y)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (pow.f64 y y)) (exp.f64 (neg.f64 (-.f64 z x)))))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x)))) (pow.f64 (cbrt.f64 (/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x)))) #s(literal 2 binary64)) (cbrt.f64 (/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x)))))
(*.f64 (sqrt.f64 (/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x)))) (sqrt.f64 (/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x)))))
(*.f64 (neg.f64 (pow.f64 y y)) (/.f64 #s(literal 1 binary64) (neg.f64 (exp.f64 (-.f64 z x)))))
(*.f64 (exp.f64 (neg.f64 (-.f64 z x))) (pow.f64 y y))
(*.f64 (sqrt.f64 (pow.f64 y y)) (/.f64 (sqrt.f64 (pow.f64 y y)) (exp.f64 (-.f64 z x))))
(*.f64 (sqrt.f64 (pow.f64 y y)) (*.f64 (sqrt.f64 (pow.f64 y y)) (exp.f64 (neg.f64 (-.f64 z x)))))
(*.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) (exp.f64 x))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (exp.f64 (-.f64 z x))) #s(literal 2 binary64))) (/.f64 (pow.f64 y y) (cbrt.f64 (exp.f64 (-.f64 z x)))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (exp.f64 (-.f64 z x)))) (/.f64 (pow.f64 y y) (sqrt.f64 (exp.f64 (-.f64 z x)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (pow.f64 y y)) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (pow.f64 y y)) (exp.f64 (-.f64 z x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (pow.f64 y y)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (exp.f64 (-.f64 z x))) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (pow.f64 y y)) #s(literal 2 binary64)) (sqrt.f64 (exp.f64 (-.f64 z x)))) (/.f64 (cbrt.f64 (pow.f64 y y)) (sqrt.f64 (exp.f64 (-.f64 z x)))))
(*.f64 (/.f64 (sqrt.f64 (pow.f64 y y)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (pow.f64 y y)) (exp.f64 (-.f64 z x))))
(*.f64 (/.f64 (sqrt.f64 (pow.f64 y y)) (pow.f64 (cbrt.f64 (exp.f64 (-.f64 z x))) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (pow.f64 y y)) (cbrt.f64 (exp.f64 (-.f64 z x)))))
(pow.f64 (/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x)))) #s(literal 2 binary64))
(pow.f64 (/.f64 (exp.f64 (-.f64 z x)) (pow.f64 y y)) #s(literal -1 binary64))
(neg.f64 (/.f64 (pow.f64 y y) (neg.f64 (exp.f64 (-.f64 z x)))))
(neg.f64 (/.f64 (neg.f64 (pow.f64 y y)) (exp.f64 (-.f64 z x))))
(sqrt.f64 (pow.f64 (/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x))))))
(cbrt.f64 (pow.f64 (/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x))) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (pow.f64 y y) #s(literal 3 binary64)) (pow.f64 (exp.f64 (-.f64 z x)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x)))))
(log1p.f64 (expm1.f64 (/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x)))))
(exp.f64 (-.f64 (*.f64 y (log.f64 y)) (-.f64 z x)))
(exp.f64 (*.f64 (-.f64 (*.f64 y (log.f64 y)) (-.f64 z x)) #s(literal 1 binary64)))
Outputs
(*.f64 #s(literal -1 binary64) (*.f64 y (log.f64 (/.f64 #s(literal 1 binary64) y))))
(neg.f64 (*.f64 y (neg.f64 (log.f64 y))))
(*.f64 y (log.f64 y))
(*.f64 #s(literal -1 binary64) (*.f64 y (log.f64 (/.f64 #s(literal 1 binary64) y))))
(neg.f64 (*.f64 y (neg.f64 (log.f64 y))))
(*.f64 y (log.f64 y))
(*.f64 #s(literal -1 binary64) (*.f64 y (log.f64 (/.f64 #s(literal 1 binary64) y))))
(neg.f64 (*.f64 y (neg.f64 (log.f64 y))))
(*.f64 y (log.f64 y))
(*.f64 #s(literal -1 binary64) (*.f64 y (log.f64 (/.f64 #s(literal 1 binary64) y))))
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(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 y (log.f64 y)))
(fma.f64 y (log.f64 y) x)
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (*.f64 y (log.f64 y)))
(fma.f64 y (log.f64 y) x)
(fma.f64 (sqrt.f64 (log.f64 y)) (*.f64 (sqrt.f64 (log.f64 y)) y) x)
(fma.f64 y (log.f64 y) x)
(fma.f64 (sqrt.f64 (*.f64 y (log.f64 y))) (sqrt.f64 (*.f64 y (log.f64 y))) x)
(fma.f64 y (log.f64 y) x)
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (log.f64 y)) x)
(fma.f64 y (log.f64 y) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 y (log.f64 y)))
(fma.f64 y (log.f64 y) x)
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 (log.f64 y)) #s(literal 2 binary64))) (cbrt.f64 (log.f64 y)) x)
(fma.f64 y (log.f64 y) x)
(fma.f64 (*.f64 y (sqrt.f64 (log.f64 y))) (sqrt.f64 (log.f64 y)) x)
(fma.f64 y (log.f64 y) x)
(fma.f64 (*.f64 (log.f64 y) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) x)
(fma.f64 y (log.f64 y) x)
(fma.f64 (*.f64 (log.f64 y) (sqrt.f64 y)) (sqrt.f64 y) x)
(fma.f64 y (log.f64 y) x)
(-.f64 (exp.f64 (log1p.f64 (/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x))))) #s(literal 1 binary64))
(/.f64 (pow.f64 y y) (exp.f64 (neg.f64 (-.f64 x z))))
(/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x)))
(exp.f64 (-.f64 (fma.f64 y (log.f64 y) x) z))
(*.f64 (pow.f64 y y) (exp.f64 (neg.f64 (-.f64 z x))))
(/.f64 (pow.f64 y y) (exp.f64 (neg.f64 (-.f64 x z))))
(/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x)))
(exp.f64 (-.f64 (fma.f64 y (log.f64 y) x) z))
(*.f64 (/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x))) #s(literal 1 binary64))
(/.f64 (pow.f64 y y) (exp.f64 (neg.f64 (-.f64 x z))))
(/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x)))
(exp.f64 (-.f64 (fma.f64 y (log.f64 y) x) z))
(*.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x))))
(/.f64 (pow.f64 y y) (exp.f64 (neg.f64 (-.f64 x z))))
(/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x)))
(exp.f64 (-.f64 (fma.f64 y (log.f64 y) x) z))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 y y)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (pow.f64 y y)) (exp.f64 (-.f64 z x))))
(/.f64 (pow.f64 y y) (exp.f64 (neg.f64 (-.f64 x z))))
(/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x)))
(exp.f64 (-.f64 (fma.f64 y (log.f64 y) x) z))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 y y)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (pow.f64 y y)) (exp.f64 (neg.f64 (-.f64 z x)))))
(/.f64 (pow.f64 y y) (exp.f64 (neg.f64 (-.f64 x z))))
(/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x)))
(exp.f64 (-.f64 (fma.f64 y (log.f64 y) x) z))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x)))) (pow.f64 (cbrt.f64 (/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x)))) #s(literal 2 binary64)))
(/.f64 (pow.f64 y y) (exp.f64 (neg.f64 (-.f64 x z))))
(/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x)))
(exp.f64 (-.f64 (fma.f64 y (log.f64 y) x) z))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x)))) #s(literal 2 binary64)) (cbrt.f64 (/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x)))))
(/.f64 (pow.f64 y y) (exp.f64 (neg.f64 (-.f64 x z))))
(/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x)))
(exp.f64 (-.f64 (fma.f64 y (log.f64 y) x) z))
(*.f64 (sqrt.f64 (/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x)))) (sqrt.f64 (/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x)))))
(/.f64 (pow.f64 y y) (exp.f64 (neg.f64 (-.f64 x z))))
(/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x)))
(exp.f64 (-.f64 (fma.f64 y (log.f64 y) x) z))
(*.f64 (neg.f64 (pow.f64 y y)) (/.f64 #s(literal 1 binary64) (neg.f64 (exp.f64 (-.f64 z x)))))
(/.f64 (pow.f64 y y) (exp.f64 (neg.f64 (-.f64 x z))))
(/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x)))
(exp.f64 (-.f64 (fma.f64 y (log.f64 y) x) z))
(*.f64 (exp.f64 (neg.f64 (-.f64 z x))) (pow.f64 y y))
(/.f64 (pow.f64 y y) (exp.f64 (neg.f64 (-.f64 x z))))
(/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x)))
(exp.f64 (-.f64 (fma.f64 y (log.f64 y) x) z))
(*.f64 (sqrt.f64 (pow.f64 y y)) (/.f64 (sqrt.f64 (pow.f64 y y)) (exp.f64 (-.f64 z x))))
(/.f64 (pow.f64 y y) (exp.f64 (neg.f64 (-.f64 x z))))
(/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x)))
(exp.f64 (-.f64 (fma.f64 y (log.f64 y) x) z))
(*.f64 (sqrt.f64 (pow.f64 y y)) (*.f64 (sqrt.f64 (pow.f64 y y)) (exp.f64 (neg.f64 (-.f64 z x)))))
(/.f64 (pow.f64 y y) (exp.f64 (neg.f64 (-.f64 x z))))
(/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x)))
(exp.f64 (-.f64 (fma.f64 y (log.f64 y) x) z))
(*.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) (exp.f64 x))
(/.f64 (pow.f64 y y) (exp.f64 (neg.f64 (-.f64 x z))))
(/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x)))
(exp.f64 (-.f64 (fma.f64 y (log.f64 y) x) z))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (exp.f64 (-.f64 z x))) #s(literal 2 binary64))) (/.f64 (pow.f64 y y) (cbrt.f64 (exp.f64 (-.f64 z x)))))
(/.f64 (/.f64 (pow.f64 y y) (cbrt.f64 (exp.f64 (-.f64 z x)))) (pow.f64 (cbrt.f64 (exp.f64 (-.f64 z x))) #s(literal 2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (exp.f64 (-.f64 z x)))) (/.f64 (pow.f64 y y) (sqrt.f64 (exp.f64 (-.f64 z x)))))
(/.f64 (/.f64 (pow.f64 y y) (sqrt.f64 (exp.f64 (-.f64 z x)))) (sqrt.f64 (exp.f64 (-.f64 z x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (pow.f64 y y)) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (pow.f64 y y)) (exp.f64 (-.f64 z x))))
(/.f64 (pow.f64 y y) (exp.f64 (neg.f64 (-.f64 x z))))
(/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x)))
(exp.f64 (-.f64 (fma.f64 y (log.f64 y) x) z))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (pow.f64 y y)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (exp.f64 (-.f64 z x))) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x)))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (pow.f64 y y)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x))))) (pow.f64 (cbrt.f64 (exp.f64 (-.f64 z x))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 y y)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x)))) (pow.f64 (cbrt.f64 (exp.f64 (-.f64 z x))) #s(literal 2 binary64))))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 y y)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (exp.f64 (-.f64 (fma.f64 y (log.f64 y) x) z))) (pow.f64 (cbrt.f64 (exp.f64 (-.f64 z x))) #s(literal 2 binary64))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (pow.f64 y y)) #s(literal 2 binary64)) (sqrt.f64 (exp.f64 (-.f64 z x)))) (/.f64 (cbrt.f64 (pow.f64 y y)) (sqrt.f64 (exp.f64 (-.f64 z x)))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (exp.f64 (-.f64 z x)))) (/.f64 (pow.f64 y y) (sqrt.f64 (exp.f64 (-.f64 z x)))))
(/.f64 (/.f64 (pow.f64 y y) (sqrt.f64 (exp.f64 (-.f64 z x)))) (sqrt.f64 (exp.f64 (-.f64 z x))))
(*.f64 (/.f64 (sqrt.f64 (pow.f64 y y)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (pow.f64 y y)) (exp.f64 (-.f64 z x))))
(/.f64 (pow.f64 y y) (exp.f64 (neg.f64 (-.f64 x z))))
(/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x)))
(exp.f64 (-.f64 (fma.f64 y (log.f64 y) x) z))
(*.f64 (/.f64 (sqrt.f64 (pow.f64 y y)) (pow.f64 (cbrt.f64 (exp.f64 (-.f64 z x))) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (pow.f64 y y)) (cbrt.f64 (exp.f64 (-.f64 z x)))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (exp.f64 (-.f64 z x))) #s(literal 2 binary64))) (/.f64 (pow.f64 y y) (cbrt.f64 (exp.f64 (-.f64 z x)))))
(/.f64 (/.f64 (pow.f64 y y) (cbrt.f64 (exp.f64 (-.f64 z x)))) (pow.f64 (cbrt.f64 (exp.f64 (-.f64 z x))) #s(literal 2 binary64)))
(pow.f64 (/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x))) #s(literal 1 binary64))
(/.f64 (pow.f64 y y) (exp.f64 (neg.f64 (-.f64 x z))))
(/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x)))
(exp.f64 (-.f64 (fma.f64 y (log.f64 y) x) z))
(pow.f64 (cbrt.f64 (/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x)))) #s(literal 3 binary64))
(/.f64 (pow.f64 y y) (exp.f64 (neg.f64 (-.f64 x z))))
(/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x)))
(exp.f64 (-.f64 (fma.f64 y (log.f64 y) x) z))
(pow.f64 (pow.f64 (/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(/.f64 (pow.f64 y y) (exp.f64 (neg.f64 (-.f64 x z))))
(/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x)))
(exp.f64 (-.f64 (fma.f64 y (log.f64 y) x) z))
(pow.f64 (sqrt.f64 (/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x)))) #s(literal 2 binary64))
(/.f64 (pow.f64 y y) (exp.f64 (neg.f64 (-.f64 x z))))
(/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x)))
(exp.f64 (-.f64 (fma.f64 y (log.f64 y) x) z))
(pow.f64 (/.f64 (exp.f64 (-.f64 z x)) (pow.f64 y y)) #s(literal -1 binary64))
(/.f64 (pow.f64 y y) (exp.f64 (neg.f64 (-.f64 x z))))
(/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x)))
(exp.f64 (-.f64 (fma.f64 y (log.f64 y) x) z))
(neg.f64 (/.f64 (pow.f64 y y) (neg.f64 (exp.f64 (-.f64 z x)))))
(/.f64 (pow.f64 y y) (exp.f64 (neg.f64 (-.f64 x z))))
(/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x)))
(exp.f64 (-.f64 (fma.f64 y (log.f64 y) x) z))
(neg.f64 (/.f64 (neg.f64 (pow.f64 y y)) (exp.f64 (-.f64 z x))))
(/.f64 (pow.f64 y y) (exp.f64 (neg.f64 (-.f64 x z))))
(/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x)))
(exp.f64 (-.f64 (fma.f64 y (log.f64 y) x) z))
(sqrt.f64 (pow.f64 (/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x))) #s(literal 2 binary64)))
(/.f64 (pow.f64 y y) (exp.f64 (neg.f64 (-.f64 x z))))
(/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x)))
(exp.f64 (-.f64 (fma.f64 y (log.f64 y) x) z))
(log.f64 (exp.f64 (/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x)))))
(/.f64 (pow.f64 y y) (exp.f64 (neg.f64 (-.f64 x z))))
(/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x)))
(exp.f64 (-.f64 (fma.f64 y (log.f64 y) x) z))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x))))))
(/.f64 (pow.f64 y y) (exp.f64 (neg.f64 (-.f64 x z))))
(/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x)))
(exp.f64 (-.f64 (fma.f64 y (log.f64 y) x) z))
(cbrt.f64 (pow.f64 (/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x))) #s(literal 3 binary64)))
(/.f64 (pow.f64 y y) (exp.f64 (neg.f64 (-.f64 x z))))
(/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x)))
(exp.f64 (-.f64 (fma.f64 y (log.f64 y) x) z))
(cbrt.f64 (/.f64 (pow.f64 (pow.f64 y y) #s(literal 3 binary64)) (pow.f64 (exp.f64 (-.f64 z x)) #s(literal 3 binary64))))
(/.f64 (pow.f64 y y) (exp.f64 (neg.f64 (-.f64 x z))))
(/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x)))
(exp.f64 (-.f64 (fma.f64 y (log.f64 y) x) z))
(expm1.f64 (log1p.f64 (/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x)))))
(/.f64 (pow.f64 y y) (exp.f64 (neg.f64 (-.f64 x z))))
(/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x)))
(exp.f64 (-.f64 (fma.f64 y (log.f64 y) x) z))
(log1p.f64 (expm1.f64 (/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x)))))
(/.f64 (pow.f64 y y) (exp.f64 (neg.f64 (-.f64 x z))))
(/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x)))
(exp.f64 (-.f64 (fma.f64 y (log.f64 y) x) z))
(exp.f64 (-.f64 (*.f64 y (log.f64 y)) (-.f64 z x)))
(/.f64 (pow.f64 y y) (exp.f64 (neg.f64 (-.f64 x z))))
(/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x)))
(exp.f64 (-.f64 (fma.f64 y (log.f64 y) x) z))
(exp.f64 (*.f64 (-.f64 (*.f64 y (log.f64 y)) (-.f64 z x)) #s(literal 1 binary64)))
(/.f64 (pow.f64 y y) (exp.f64 (neg.f64 (-.f64 x z))))
(/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x)))
(exp.f64 (-.f64 (fma.f64 y (log.f64 y) x) z))

eval124.0ms (2.7%)

Compiler

Compiled 5782 to 1891 computations (67.3% saved)

prune57.0ms (1.2%)

Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New3246330
Fresh000
Picked202
Done000
Total3266332
Accuracy
100.0%
Counts
332 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
64.0%
(/.f64 (pow.f64 y y) (exp.f64 z))
82.1%
(/.f64 #s(literal 1 binary64) (exp.f64 (-.f64 z x)))
67.6%
(*.f64 (pow.f64 y y) (exp.f64 x))
74.6%
(exp.f64 (-.f64 (*.f64 y (log.f64 y)) z))
53.4%
(exp.f64 (neg.f64 z))
56.3%
(exp.f64 x)
Compiler

Compiled 96 to 70 computations (27.1% saved)

localize149.0ms (3.3%)

Localize:

Found 2 expressions with local error:

NewAccuracyProgram
99.7%
(*.f64 (pow.f64 y y) (exp.f64 x))
100.0%
(/.f64 #s(literal 1 binary64) (exp.f64 (-.f64 z x)))
Compiler

Compiled 55 to 16 computations (70.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 48.0ms
Operation ival-pow, time spent: 19.0ms, 39.0% of total-time
Operation ival-exp, time spent: 17.0ms, 35.0% of total-time
Operation ival-div, time spent: 5.0ms, 10.0% of total-time
Operation ival-mult, time spent: 3.0ms, 6.0% of total-time
Operation ival-sub, time spent: 2.0ms, 4.0% of total-time
Operation const, time spent: 1.0ms, 2.0% of total-time
Operation ival-neg, time spent: 1.0ms, 2.0% of total-time

series9.0ms (0.2%)

Counts
2 → 40
Calls
Call 1
Inputs
#<alt (/.f64 #s(literal 1 binary64) (exp.f64 (-.f64 z x)))>
#<alt (*.f64 (pow.f64 y y) (exp.f64 x))>
Outputs
#<alt (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z (exp.f64 (neg.f64 x)))) (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x))))>
#<alt (+.f64 (*.f64 z (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 z (exp.f64 (neg.f64 x)))) (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x))))) (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x))))>
#<alt (+.f64 (*.f64 z (-.f64 (*.f64 z (+.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 z (exp.f64 (neg.f64 x)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)))))) (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x))))) (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x))))>
#<alt (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (+.f64 x (*.f64 #s(literal -1 binary64) z)))))>
#<alt (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (+.f64 x (*.f64 #s(literal -1 binary64) z)))))>
#<alt (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (+.f64 x (*.f64 #s(literal -1 binary64) z)))))>
#<alt (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (+.f64 x (*.f64 #s(literal -1 binary64) z)))))>
#<alt (/.f64 #s(literal 1 binary64) (exp.f64 z))>
#<alt (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 z)) (/.f64 x (exp.f64 z)))>
#<alt (+.f64 (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x (exp.f64 z))) (/.f64 #s(literal 1 binary64) (exp.f64 z)))) (/.f64 #s(literal 1 binary64) (exp.f64 z)))>
#<alt (+.f64 (*.f64 x (+.f64 (*.f64 x (+.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 x (exp.f64 z))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 z))))) (/.f64 #s(literal 1 binary64) (exp.f64 z)))) (/.f64 #s(literal 1 binary64) (exp.f64 z)))>
#<alt (/.f64 #s(literal 1 binary64) (exp.f64 (+.f64 z (*.f64 #s(literal -1 binary64) x))))>
#<alt (/.f64 #s(literal 1 binary64) (exp.f64 (+.f64 z (*.f64 #s(literal -1 binary64) x))))>
#<alt (/.f64 #s(literal 1 binary64) (exp.f64 (+.f64 z (*.f64 #s(literal -1 binary64) x))))>
#<alt (/.f64 #s(literal 1 binary64) (exp.f64 (+.f64 z (*.f64 #s(literal -1 binary64) x))))>
#<alt (exp.f64 x)>
#<alt (+.f64 (exp.f64 x) (*.f64 y (*.f64 (exp.f64 x) (log.f64 y))))>
#<alt (+.f64 (exp.f64 x) (*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y (*.f64 (exp.f64 x) (pow.f64 (log.f64 y) #s(literal 2 binary64))))) (*.f64 (exp.f64 x) (log.f64 y)))))>
#<alt (+.f64 (exp.f64 x) (*.f64 y (+.f64 (*.f64 y (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 (exp.f64 x) (pow.f64 (log.f64 y) #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (exp.f64 x) (pow.f64 (log.f64 y) #s(literal 2 binary64)))))) (*.f64 (exp.f64 x) (log.f64 y)))))>
#<alt (*.f64 (exp.f64 x) (pow.f64 y y))>
#<alt (*.f64 (exp.f64 x) (pow.f64 y y))>
#<alt (*.f64 (exp.f64 x) (pow.f64 y y))>
#<alt (*.f64 (exp.f64 x) (pow.f64 y y))>
#<alt (*.f64 (exp.f64 x) (pow.f64 y y))>
#<alt (*.f64 (exp.f64 x) (pow.f64 y y))>
#<alt (*.f64 (exp.f64 x) (pow.f64 y y))>
#<alt (*.f64 (exp.f64 x) (pow.f64 y y))>
#<alt (pow.f64 y y)>
#<alt (+.f64 (*.f64 x (pow.f64 y y)) (pow.f64 y y))>
#<alt (+.f64 (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (pow.f64 y y))) (pow.f64 y y))) (pow.f64 y y))>
#<alt (+.f64 (*.f64 x (+.f64 (*.f64 x (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x (pow.f64 y y))) (*.f64 #s(literal 1/2 binary64) (pow.f64 y y)))) (pow.f64 y y))) (pow.f64 y y))>
#<alt (*.f64 (exp.f64 x) (pow.f64 y y))>
#<alt (*.f64 (exp.f64 x) (pow.f64 y y))>
#<alt (*.f64 (exp.f64 x) (pow.f64 y y))>
#<alt (*.f64 (exp.f64 x) (pow.f64 y y))>
#<alt (*.f64 (exp.f64 x) (pow.f64 y y))>
#<alt (*.f64 (exp.f64 x) (pow.f64 y y))>
#<alt (*.f64 (exp.f64 x) (pow.f64 y y))>
#<alt (*.f64 (exp.f64 x) (pow.f64 y y))>
Calls

12 calls:

TimeVariablePointExpression
2.0ms
x
@0
(* (pow y y) (exp x))
1.0ms
x
@-inf
(* (pow y y) (exp x))
1.0ms
z
@-inf
(/ 1 (exp (- z x)))
1.0ms
z
@0
(/ 1 (exp (- z x)))
1.0ms
z
@inf
(/ 1 (exp (- z x)))

rewrite99.0ms (2.2%)

Algorithm
batch-egg-rewrite
Rules
976×log-prod
929×log1p-expm1-u
929×expm1-log1p-u
718×prod-diff
428×fma-define
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01747
121047
2258347
Stop Event
node limit
Counts
2 → 46
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (exp.f64 (-.f64 z x)))
(*.f64 (pow.f64 y y) (exp.f64 x))
Outputs
(+.f64 #s(literal 0 binary64) (exp.f64 (+.f64 (neg.f64 z) x)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (exp.f64 (+.f64 (neg.f64 z) x)))) (cbrt.f64 (exp.f64 (exp.f64 (+.f64 (neg.f64 z) x)))))) (log.f64 (cbrt.f64 (exp.f64 (exp.f64 (+.f64 (neg.f64 z) x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (exp.f64 (+.f64 (neg.f64 z) x))))) (log.f64 (sqrt.f64 (exp.f64 (exp.f64 (+.f64 (neg.f64 z) x))))))
(-.f64 (exp.f64 (log1p.f64 (exp.f64 (+.f64 (neg.f64 z) x)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (neg.f64 z) x)))
(*.f64 (exp.f64 (+.f64 (neg.f64 z) x)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (exp.f64 (-.f64 z x)))))
(*.f64 (cbrt.f64 (exp.f64 (+.f64 (neg.f64 z) x))) (cbrt.f64 (pow.f64 (exp.f64 (-.f64 z x)) #s(literal -2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 z x)) #s(literal -2 binary64))) (cbrt.f64 (exp.f64 (+.f64 (neg.f64 z) x))))
(*.f64 (pow.f64 (exp.f64 (-.f64 z x)) #s(literal -1/2 binary64)) (pow.f64 (exp.f64 (-.f64 z x)) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 z x))) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (cbrt.f64 (exp.f64 (-.f64 z x))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (exp.f64 (-.f64 z x))) #s(literal -1 binary64)) (pow.f64 (sqrt.f64 (exp.f64 (-.f64 z x))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (exp.f64 z)) (exp.f64 x))
(pow.f64 (exp.f64 (-.f64 z x)) #s(literal -1 binary64))
(pow.f64 (exp.f64 (+.f64 (neg.f64 z) x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (exp.f64 (+.f64 (neg.f64 z) x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (exp.f64 (+.f64 (neg.f64 z) x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (exp.f64 (-.f64 z x)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(neg.f64 (/.f64 #s(literal -1 binary64) (exp.f64 (-.f64 z x))))
(sqrt.f64 (pow.f64 (exp.f64 (-.f64 z x)) #s(literal -2 binary64)))
(log.f64 (exp.f64 (exp.f64 (+.f64 (neg.f64 z) x))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (exp.f64 (+.f64 (neg.f64 z) x)))))
(cbrt.f64 (pow.f64 (exp.f64 (+.f64 (neg.f64 z) x)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (exp.f64 (+.f64 (neg.f64 z) x))))
(log1p.f64 (expm1.f64 (exp.f64 (+.f64 (neg.f64 z) x))))
(exp.f64 (+.f64 (neg.f64 z) x))
(exp.f64 (*.f64 (-.f64 z x) #s(literal -1 binary64)))
(exp.f64 (*.f64 (+.f64 (neg.f64 z) x) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 (pow.f64 y y) (exp.f64 x)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 y y)) (exp.f64 x))) (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 y y)) (exp.f64 x))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 y y)) (exp.f64 x)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 y y)) (exp.f64 x)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 y y)) (exp.f64 x)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 y y) (exp.f64 x)))) #s(literal 1 binary64))
(pow.f64 (*.f64 (pow.f64 y y) (exp.f64 x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 y y) (exp.f64 x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (pow.f64 y y) (exp.f64 x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (pow.f64 y y) (exp.f64 x))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (pow.f64 y y) (exp.f64 x)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (pow.f64 y y)) (exp.f64 x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (pow.f64 y y) (exp.f64 x)))))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 y y) (exp.f64 x)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 y y) #s(literal 3 binary64)) (pow.f64 (exp.f64 x) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (pow.f64 (pow.f64 y y) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 y y) (exp.f64 x))))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 y y) (exp.f64 x))))
(exp.f64 (fma.f64 y (log.f64 y) x))
(exp.f64 (*.f64 (fma.f64 y (log.f64 y) x) #s(literal 1 binary64)))

simplify83.0ms (1.8%)

Algorithm
egg-herbie
Rules
1046×fma-define
958×distribute-lft-in
788×associate-*r/
736×distribute-rgt-in
578×distribute-lft-neg-out
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02003054
14612566
213082474
332562435
Stop Event
node limit
Counts
86 → 118
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z (exp.f64 (neg.f64 x)))) (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x))))
(+.f64 (*.f64 z (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 z (exp.f64 (neg.f64 x)))) (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x))))) (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x))))
(+.f64 (*.f64 z (-.f64 (*.f64 z (+.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 z (exp.f64 (neg.f64 x)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)))))) (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x))))) (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x))))
(/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (+.f64 x (*.f64 #s(literal -1 binary64) z)))))
(/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (+.f64 x (*.f64 #s(literal -1 binary64) z)))))
(/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (+.f64 x (*.f64 #s(literal -1 binary64) z)))))
(/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (+.f64 x (*.f64 #s(literal -1 binary64) z)))))
(/.f64 #s(literal 1 binary64) (exp.f64 z))
(+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 z)) (/.f64 x (exp.f64 z)))
(+.f64 (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x (exp.f64 z))) (/.f64 #s(literal 1 binary64) (exp.f64 z)))) (/.f64 #s(literal 1 binary64) (exp.f64 z)))
(+.f64 (*.f64 x (+.f64 (*.f64 x (+.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 x (exp.f64 z))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 z))))) (/.f64 #s(literal 1 binary64) (exp.f64 z)))) (/.f64 #s(literal 1 binary64) (exp.f64 z)))
(/.f64 #s(literal 1 binary64) (exp.f64 (+.f64 z (*.f64 #s(literal -1 binary64) x))))
(/.f64 #s(literal 1 binary64) (exp.f64 (+.f64 z (*.f64 #s(literal -1 binary64) x))))
(/.f64 #s(literal 1 binary64) (exp.f64 (+.f64 z (*.f64 #s(literal -1 binary64) x))))
(/.f64 #s(literal 1 binary64) (exp.f64 (+.f64 z (*.f64 #s(literal -1 binary64) x))))
(exp.f64 x)
(+.f64 (exp.f64 x) (*.f64 y (*.f64 (exp.f64 x) (log.f64 y))))
(+.f64 (exp.f64 x) (*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y (*.f64 (exp.f64 x) (pow.f64 (log.f64 y) #s(literal 2 binary64))))) (*.f64 (exp.f64 x) (log.f64 y)))))
(+.f64 (exp.f64 x) (*.f64 y (+.f64 (*.f64 y (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 (exp.f64 x) (pow.f64 (log.f64 y) #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (exp.f64 x) (pow.f64 (log.f64 y) #s(literal 2 binary64)))))) (*.f64 (exp.f64 x) (log.f64 y)))))
(*.f64 (exp.f64 x) (pow.f64 y y))
(*.f64 (exp.f64 x) (pow.f64 y y))
(*.f64 (exp.f64 x) (pow.f64 y y))
(*.f64 (exp.f64 x) (pow.f64 y y))
(*.f64 (exp.f64 x) (pow.f64 y y))
(*.f64 (exp.f64 x) (pow.f64 y y))
(*.f64 (exp.f64 x) (pow.f64 y y))
(*.f64 (exp.f64 x) (pow.f64 y y))
(pow.f64 y y)
(+.f64 (*.f64 x (pow.f64 y y)) (pow.f64 y y))
(+.f64 (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (pow.f64 y y))) (pow.f64 y y))) (pow.f64 y y))
(+.f64 (*.f64 x (+.f64 (*.f64 x (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x (pow.f64 y y))) (*.f64 #s(literal 1/2 binary64) (pow.f64 y y)))) (pow.f64 y y))) (pow.f64 y y))
(*.f64 (exp.f64 x) (pow.f64 y y))
(*.f64 (exp.f64 x) (pow.f64 y y))
(*.f64 (exp.f64 x) (pow.f64 y y))
(*.f64 (exp.f64 x) (pow.f64 y y))
(*.f64 (exp.f64 x) (pow.f64 y y))
(*.f64 (exp.f64 x) (pow.f64 y y))
(*.f64 (exp.f64 x) (pow.f64 y y))
(*.f64 (exp.f64 x) (pow.f64 y y))
(+.f64 #s(literal 0 binary64) (exp.f64 (+.f64 (neg.f64 z) x)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (exp.f64 (+.f64 (neg.f64 z) x)))) (cbrt.f64 (exp.f64 (exp.f64 (+.f64 (neg.f64 z) x)))))) (log.f64 (cbrt.f64 (exp.f64 (exp.f64 (+.f64 (neg.f64 z) x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (exp.f64 (+.f64 (neg.f64 z) x))))) (log.f64 (sqrt.f64 (exp.f64 (exp.f64 (+.f64 (neg.f64 z) x))))))
(-.f64 (exp.f64 (log1p.f64 (exp.f64 (+.f64 (neg.f64 z) x)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (neg.f64 z) x)))
(*.f64 (exp.f64 (+.f64 (neg.f64 z) x)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (exp.f64 (-.f64 z x)))))
(*.f64 (cbrt.f64 (exp.f64 (+.f64 (neg.f64 z) x))) (cbrt.f64 (pow.f64 (exp.f64 (-.f64 z x)) #s(literal -2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 z x)) #s(literal -2 binary64))) (cbrt.f64 (exp.f64 (+.f64 (neg.f64 z) x))))
(*.f64 (pow.f64 (exp.f64 (-.f64 z x)) #s(literal -1/2 binary64)) (pow.f64 (exp.f64 (-.f64 z x)) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 z x))) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (cbrt.f64 (exp.f64 (-.f64 z x))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (exp.f64 (-.f64 z x))) #s(literal -1 binary64)) (pow.f64 (sqrt.f64 (exp.f64 (-.f64 z x))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (exp.f64 z)) (exp.f64 x))
(pow.f64 (exp.f64 (-.f64 z x)) #s(literal -1 binary64))
(pow.f64 (exp.f64 (+.f64 (neg.f64 z) x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (exp.f64 (+.f64 (neg.f64 z) x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (exp.f64 (+.f64 (neg.f64 z) x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (exp.f64 (-.f64 z x)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(neg.f64 (/.f64 #s(literal -1 binary64) (exp.f64 (-.f64 z x))))
(sqrt.f64 (pow.f64 (exp.f64 (-.f64 z x)) #s(literal -2 binary64)))
(log.f64 (exp.f64 (exp.f64 (+.f64 (neg.f64 z) x))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (exp.f64 (+.f64 (neg.f64 z) x)))))
(cbrt.f64 (pow.f64 (exp.f64 (+.f64 (neg.f64 z) x)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (exp.f64 (+.f64 (neg.f64 z) x))))
(log1p.f64 (expm1.f64 (exp.f64 (+.f64 (neg.f64 z) x))))
(exp.f64 (+.f64 (neg.f64 z) x))
(exp.f64 (*.f64 (-.f64 z x) #s(literal -1 binary64)))
(exp.f64 (*.f64 (+.f64 (neg.f64 z) x) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 (pow.f64 y y) (exp.f64 x)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 y y)) (exp.f64 x))) (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 y y)) (exp.f64 x))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 y y)) (exp.f64 x)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 y y)) (exp.f64 x)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 y y)) (exp.f64 x)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 y y) (exp.f64 x)))) #s(literal 1 binary64))
(pow.f64 (*.f64 (pow.f64 y y) (exp.f64 x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 y y) (exp.f64 x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (pow.f64 y y) (exp.f64 x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (pow.f64 y y) (exp.f64 x))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (pow.f64 y y) (exp.f64 x)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (pow.f64 y y)) (exp.f64 x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (pow.f64 y y) (exp.f64 x)))))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 y y) (exp.f64 x)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 y y) #s(literal 3 binary64)) (pow.f64 (exp.f64 x) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (pow.f64 (pow.f64 y y) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 y y) (exp.f64 x))))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 y y) (exp.f64 x))))
(exp.f64 (fma.f64 y (log.f64 y) x))
(exp.f64 (*.f64 (fma.f64 y (log.f64 y) x) #s(literal 1 binary64)))
Outputs
(/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)))
(exp.f64 (neg.f64 (neg.f64 x)))
(exp.f64 x)
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z (exp.f64 (neg.f64 x)))) (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x))))
(fma.f64 #s(literal -1 binary64) (/.f64 z (exp.f64 (neg.f64 x))) (exp.f64 (neg.f64 (neg.f64 x))))
(+.f64 (*.f64 z (neg.f64 (exp.f64 x))) (exp.f64 x))
(*.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) z))
(+.f64 (*.f64 z (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 z (exp.f64 (neg.f64 x)))) (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x))))) (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x))))
(fma.f64 z (-.f64 (*.f64 (/.f64 z (exp.f64 (neg.f64 x))) #s(literal 1/2 binary64)) (exp.f64 (neg.f64 (neg.f64 x)))) (exp.f64 (neg.f64 (neg.f64 x))))
(fma.f64 z (-.f64 (*.f64 (exp.f64 x) (*.f64 z #s(literal 1/2 binary64))) (exp.f64 x)) (exp.f64 x))
(fma.f64 z (*.f64 (exp.f64 x) (-.f64 (*.f64 z #s(literal 1/2 binary64)) #s(literal 1 binary64))) (exp.f64 x))
(fma.f64 z (*.f64 (exp.f64 x) (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64))) (exp.f64 x))
(+.f64 (*.f64 z (-.f64 (*.f64 z (+.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 z (exp.f64 (neg.f64 x)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)))))) (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x))))) (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x))))
(fma.f64 z (-.f64 (*.f64 z (fma.f64 #s(literal -1/6 binary64) (/.f64 z (exp.f64 (neg.f64 x))) (/.f64 #s(literal 1/2 binary64) (exp.f64 (neg.f64 x))))) (exp.f64 (neg.f64 (neg.f64 x)))) (exp.f64 (neg.f64 (neg.f64 x))))
(fma.f64 z (fma.f64 z (fma.f64 #s(literal 1/2 binary64) (exp.f64 x) (/.f64 (*.f64 z #s(literal -1/6 binary64)) (exp.f64 (neg.f64 x)))) (neg.f64 (exp.f64 x))) (exp.f64 x))
(fma.f64 z (fma.f64 z (*.f64 (exp.f64 x) (+.f64 (*.f64 z #s(literal -1/6 binary64)) #s(literal 1/2 binary64))) (neg.f64 (exp.f64 x))) (exp.f64 x))
(fma.f64 z (-.f64 (*.f64 z (*.f64 (exp.f64 x) (+.f64 (*.f64 z #s(literal -1/6 binary64)) #s(literal 1/2 binary64)))) (exp.f64 x)) (exp.f64 x))
(/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (+.f64 x (*.f64 #s(literal -1 binary64) z)))))
(exp.f64 (neg.f64 (neg.f64 (+.f64 x (neg.f64 z)))))
(exp.f64 (-.f64 x z))
(/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (+.f64 x (*.f64 #s(literal -1 binary64) z)))))
(exp.f64 (neg.f64 (neg.f64 (+.f64 x (neg.f64 z)))))
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eval28.0ms (0.6%)

Compiler

Compiled 1493 to 563 computations (62.3% saved)

prune19.0ms (0.4%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1171118
Fresh101
Picked325
Done000
Total1213124
Accuracy
100.0%
Counts
124 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
50.7%
(pow.f64 y y)
53.4%
(exp.f64 (neg.f64 z))
56.3%
(exp.f64 x)
Compiler

Compiled 17 to 13 computations (23.5% saved)

localize33.0ms (0.7%)

Compiler

Compiled 8 to 5 computations (37.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
Operation ival-pow, time spent: 10.0ms, 98.0% of total-time
Operation const, time spent: 0.0ms, 0.0% of total-time

eval0.0ms (0%)

Compiler

Compiled 3 to 3 computations (0% saved)

prune3.0ms (0.1%)

Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New000
Fresh000
Picked011
Done022
Total033
Accuracy
100.0%
Counts
3 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
50.7%
(pow.f64 y y)
53.4%
(exp.f64 (neg.f64 z))
56.3%
(exp.f64 x)
Compiler

Compiled 70 to 35 computations (50% saved)

regimes51.0ms (1.1%)

Counts
9 → 1
Calls
Call 1
Inputs
(exp.f64 x)
(exp.f64 (neg.f64 z))
(pow.f64 y y)
(/.f64 #s(literal 1 binary64) (exp.f64 (-.f64 z x)))
(*.f64 (pow.f64 y y) (exp.f64 x))
(/.f64 (pow.f64 y y) (exp.f64 z))
(exp.f64 (-.f64 (*.f64 y (log.f64 y)) z))
(/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x)))
(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z))
Outputs
(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z))
Calls

7 calls:

12.0ms
(*.f64 y (log.f64 y))
9.0ms
y
7.0ms
(+.f64 x (*.f64 y (log.f64 y)))
7.0ms
z
7.0ms
(-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)
Results
AccuracySegmentsBranch
100.0%1x
100.0%1y
100.0%1z
100.0%1(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z))
100.0%1(-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)
100.0%1(+.f64 x (*.f64 y (log.f64 y)))
100.0%1(*.f64 y (log.f64 y))
Compiler

Compiled 51 to 35 computations (31.4% saved)

regimes69.0ms (1.5%)

Counts
8 → 2
Calls
Call 1
Inputs
(exp.f64 x)
(exp.f64 (neg.f64 z))
(pow.f64 y y)
(/.f64 #s(literal 1 binary64) (exp.f64 (-.f64 z x)))
(*.f64 (pow.f64 y y) (exp.f64 x))
(/.f64 (pow.f64 y y) (exp.f64 z))
(exp.f64 (-.f64 (*.f64 y (log.f64 y)) z))
(/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x)))
Outputs
(/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x)))
(exp.f64 (-.f64 (*.f64 y (log.f64 y)) z))
Calls

4 calls:

25.0ms
z
20.0ms
x
12.0ms
(*.f64 y (log.f64 y))
11.0ms
y
Results
AccuracySegmentsBranch
97.4%5x
95.0%2y
91.5%4z
95.0%2(*.f64 y (log.f64 y))
Compiler

Compiled 19 to 14 computations (26.3% saved)

regimes30.0ms (0.7%)

Counts
7 → 2
Calls
Call 1
Inputs
(exp.f64 x)
(exp.f64 (neg.f64 z))
(pow.f64 y y)
(/.f64 #s(literal 1 binary64) (exp.f64 (-.f64 z x)))
(*.f64 (pow.f64 y y) (exp.f64 x))
(/.f64 (pow.f64 y y) (exp.f64 z))
(exp.f64 (-.f64 (*.f64 y (log.f64 y)) z))
Outputs
(/.f64 #s(literal 1 binary64) (exp.f64 (-.f64 z x)))
(exp.f64 (-.f64 (*.f64 y (log.f64 y)) z))
Calls

2 calls:

15.0ms
(*.f64 y (log.f64 y))
14.0ms
y
Results
AccuracySegmentsBranch
94.2%2y
94.2%2(*.f64 y (log.f64 y))
Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes26.0ms (0.6%)

Counts
6 → 2
Calls
Call 1
Inputs
(exp.f64 x)
(exp.f64 (neg.f64 z))
(pow.f64 y y)
(/.f64 #s(literal 1 binary64) (exp.f64 (-.f64 z x)))
(*.f64 (pow.f64 y y) (exp.f64 x))
(/.f64 (pow.f64 y y) (exp.f64 z))
Outputs
(/.f64 #s(literal 1 binary64) (exp.f64 (-.f64 z x)))
(pow.f64 y y)
Calls

2 calls:

13.0ms
y
13.0ms
x
Results
AccuracySegmentsBranch
90.3%5x
91.2%2y
Compiler

Compiled 8 to 6 computations (25% saved)

regimes32.0ms (0.7%)

Counts
3 → 3
Calls
Call 1
Inputs
(exp.f64 x)
(exp.f64 (neg.f64 z))
(pow.f64 y y)
Outputs
(exp.f64 (neg.f64 z))
(exp.f64 x)
(exp.f64 (neg.f64 z))
Calls

3 calls:

14.0ms
y
9.0ms
x
8.0ms
z
Results
AccuracySegmentsBranch
80.6%6x
79.4%3z
76.7%3y
Compiler

Compiled 12 to 9 computations (25% saved)

regimes6.0ms (0.1%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
(exp.f64 x)
Outputs
(exp.f64 x)
Calls

3 calls:

3.0ms
z
1.0ms
y
1.0ms
x
Results
AccuracySegmentsBranch
56.3%1x
56.3%1y
56.3%1z
Compiler

Compiled 12 to 9 computations (25% saved)

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
219.47225301023988
5062314322.93079
Compiler

Compiled 18 to 13 computations (27.8% saved)

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
219.47225301023988
5062314322.93079
Compiler

Compiled 18 to 13 computations (27.8% saved)

bsearch16.0ms (0.4%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
16.0ms
8.663503645844361e+135
3.6401171656599193e+136
Results
12.0ms75×256infinite
2.0ms20×256valid
0.0ms256infinite
Compiler

Compiled 120 to 91 computations (24.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
Operation ival-log, time spent: 2.0ms, 45.0% of total-time
Operation ival-sub, time spent: 1.0ms, 22.0% of total-time
Operation ival-add, time spent: 1.0ms, 22.0% of total-time
Operation ival-exp, time spent: 1.0ms, 22.0% of total-time
Operation ival-mult, time spent: 1.0ms, 22.0% of total-time
Operation const, time spent: 0.0ms, 0.0% of total-time

bsearch38.0ms (0.8%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
16.0ms
2.233572691837842e+68
1.3164384182851052e+69
22.0ms
-41232.365331651235
-125.36707923256476
Results
18.0ms128×256infinite
13.0ms95×256valid
0.0ms256valid
Compiler

Compiled 200 to 167 computations (16.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
Operation ival-log, time spent: 5.0ms, 42.0% of total-time
Operation ival-exp, time spent: 2.0ms, 17.0% of total-time
Operation ival-mult, time spent: 2.0ms, 17.0% of total-time
Operation ival-sub, time spent: 1.0ms, 8.0% of total-time
Operation ival-add, time spent: 1.0ms, 8.0% of total-time
Operation const, time spent: 0.0ms, 0.0% of total-time

simplify10.0ms (0.2%)

Algorithm
egg-herbie
Rules
12×+-commutative
10×sub-neg
*-commutative
neg-sub0
neg-mul-1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
042314
161314
268314
371314
472314
Stop Event
done
saturated
Calls
Call 1
Inputs
(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z))
(if (<=.f64 (*.f64 y (log.f64 y)) #s(literal 400 binary64)) (/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x))) (exp.f64 (-.f64 (*.f64 y (log.f64 y)) z)))
(if (<=.f64 (*.f64 y (log.f64 y)) #s(literal 400 binary64)) (/.f64 #s(literal 1 binary64) (exp.f64 (-.f64 z x))) (exp.f64 (-.f64 (*.f64 y (log.f64 y)) z)))
(if (<=.f64 y #s(literal 10999999999999999741517216640396125351436536949232878811506057409832573996528422381228585187863114828408559765394467246748372123516928000 binary64)) (/.f64 #s(literal 1 binary64) (exp.f64 (-.f64 z x))) (pow.f64 y y))
(if (<=.f64 z #s(literal -480 binary64)) (exp.f64 (neg.f64 z)) (if (<=.f64 z #s(literal 660000000000000009558359490162073724305851431608974900173540648026112 binary64)) (exp.f64 x) (exp.f64 (neg.f64 z))))
(exp.f64 x)
Outputs
(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z))
(if (<=.f64 (*.f64 y (log.f64 y)) #s(literal 400 binary64)) (/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x))) (exp.f64 (-.f64 (*.f64 y (log.f64 y)) z)))
(if (<=.f64 (*.f64 y (log.f64 y)) #s(literal 400 binary64)) (/.f64 #s(literal 1 binary64) (exp.f64 (-.f64 z x))) (exp.f64 (-.f64 (*.f64 y (log.f64 y)) z)))
(if (<=.f64 y #s(literal 10999999999999999741517216640396125351436536949232878811506057409832573996528422381228585187863114828408559765394467246748372123516928000 binary64)) (/.f64 #s(literal 1 binary64) (exp.f64 (-.f64 z x))) (pow.f64 y y))
(if (<=.f64 z #s(literal -480 binary64)) (exp.f64 (neg.f64 z)) (if (<=.f64 z #s(literal 660000000000000009558359490162073724305851431608974900173540648026112 binary64)) (exp.f64 x) (exp.f64 (neg.f64 z))))
(if (or (<=.f64 z #s(literal -480 binary64)) (not (<=.f64 z #s(literal 660000000000000009558359490162073724305851431608974900173540648026112 binary64)))) (exp.f64 (neg.f64 z)) (exp.f64 x))
(exp.f64 x)
Compiler

Compiled 98 to 64 computations (34.7% saved)

soundness662.0ms (14.4%)

Rules
3152×fma-define
1772×fma-neg
1450×fma-neg
872×exp-sum
730×div-sub
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
044473
1108421
2295421
3871405
41971405
53435405
65159405
76112405
86635405
96973405
107095405
117136405
127759405
137916405
055513103
1137012277
2447112170
Stop Event
node limit
node limit
Compiler

Compiled 132 to 53 computations (59.8% saved)

end0.0ms (0%)

preprocess65.0ms (1.4%)

Compiler

Compiled 214 to 106 computations (50.5% saved)

Profiling

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