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

Time bar (total: 4.4s)

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

sample1.3s (29.8%)

Results
754.0ms4830×256infinite
478.0ms3425×256valid
0.0ms256infinite
Precisions
Click to see histograms. Total time spent on operations: 434.0ms
Operation ival-log, time spent: 174.0ms, 40.0% of total-time
Operation ival-mult, time spent: 85.0ms, 20.0% of total-time
Operation ival-exp, time spent: 62.0ms, 14.0% of total-time
Operation ival-add, time spent: 58.0ms, 13.0% of total-time
Operation ival-sub, time spent: 45.0ms, 10.0% of total-time
Operation const, time spent: 9.0ms, 2.0% of total-time
Bogosity

preprocess491.0ms (11.2%)

Algorithm
egg-herbie
Rules
1576×fma-define
880×fmm-def
433×exp-sum
367×div-sub
326×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
53436405
65155405
76098405
86621405
96963405
107085405
117126405
127749405
137906405
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 (pow.f64 y y) (neg.f64 (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)))
Compiler

Compiled 84 to 26 computations (69% saved)

Precisions
Click to see histograms. Total time spent on operations: 25.0ms
Operation ival-log, time spent: 10.0ms, 40.0% of total-time
Operation ival-mult, time spent: 5.0ms, 20.0% of total-time
Operation ival-exp, time spent: 4.0ms, 16.0% of total-time
Operation ival-sub, time spent: 3.0ms, 12.0% of total-time
Operation ival-add, time spent: 3.0ms, 12.0% of total-time
Operation const, time spent: 1.0ms, 4.0% 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
78.1%
(*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z)))
100.0%
(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z))
Compiler

Compiled 23 to 15 computations (34.8% saved)

localize74.0ms (1.7%)

Localize:

Found 3 expressions with local error:

NewAccuracyProgram
99.6%
(*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z)))
100.0%
(+.f64 x (*.f64 y (log.f64 y)))
99.7%
(*.f64 y (log.f64 y))
Compiler

Compiled 57 to 13 computations (77.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 30.0ms
Operation ival-pow, time spent: 12.0ms, 40.0% of total-time
Operation ival-log, time spent: 5.0ms, 17.0% of total-time
Operation ival-sub, time spent: 4.0ms, 13.0% of total-time
Operation ival-exp, time spent: 4.0ms, 13.0% of total-time
Operation ival-mult, time spent: 4.0ms, 13.0% of total-time
Operation ival-add, time spent: 2.0ms, 7.0% of total-time
Operation const, time spent: 0.0ms, 0.0% of total-time

series129.0ms (3%)

Counts
3 → 62
Calls
Call 1
Inputs
#<alt (*.f64 y (log.f64 y))>
#<alt (+.f64 x (*.f64 y (log.f64 y)))>
#<alt (*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z)))>
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 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 (exp.f64 (-.f64 x z))>
#<alt (+.f64 (exp.f64 (-.f64 x z)) (*.f64 y (*.f64 (exp.f64 (-.f64 x z)) (log.f64 y))))>
#<alt (+.f64 (exp.f64 (-.f64 x z)) (*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y (*.f64 (exp.f64 (-.f64 x z)) (pow.f64 (log.f64 y) #s(literal 2 binary64))))) (*.f64 (exp.f64 (-.f64 x z)) (log.f64 y)))))>
#<alt (+.f64 (exp.f64 (-.f64 x z)) (*.f64 y (+.f64 (*.f64 y (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 (exp.f64 (-.f64 x z)) (pow.f64 (log.f64 y) #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (exp.f64 (-.f64 x z)) (pow.f64 (log.f64 y) #s(literal 2 binary64)))))) (*.f64 (exp.f64 (-.f64 x z)) (log.f64 y)))))>
#<alt (*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y))>
#<alt (*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y))>
#<alt (*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y))>
#<alt (*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y))>
#<alt (*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y))>
#<alt (*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y))>
#<alt (*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y))>
#<alt (*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y))>
#<alt (*.f64 (exp.f64 (neg.f64 z)) (pow.f64 y y))>
#<alt (+.f64 (*.f64 x (*.f64 (exp.f64 (neg.f64 z)) (pow.f64 y y))) (*.f64 (exp.f64 (neg.f64 z)) (pow.f64 y y)))>
#<alt (+.f64 (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 (exp.f64 (neg.f64 z)) (pow.f64 y y)))) (*.f64 (exp.f64 (neg.f64 z)) (pow.f64 y y)))) (*.f64 (exp.f64 (neg.f64 z)) (pow.f64 y y)))>
#<alt (+.f64 (*.f64 x (+.f64 (*.f64 x (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 (exp.f64 (neg.f64 z)) (pow.f64 y y)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (exp.f64 (neg.f64 z)) (pow.f64 y y))))) (*.f64 (exp.f64 (neg.f64 z)) (pow.f64 y y)))) (*.f64 (exp.f64 (neg.f64 z)) (pow.f64 y y)))>
#<alt (*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y))>
#<alt (*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y))>
#<alt (*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y))>
#<alt (*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y))>
#<alt (*.f64 (exp.f64 (neg.f64 (+.f64 z (*.f64 #s(literal -1 binary64) x)))) (pow.f64 y y))>
#<alt (*.f64 (exp.f64 (neg.f64 (+.f64 z (*.f64 #s(literal -1 binary64) x)))) (pow.f64 y y))>
#<alt (*.f64 (exp.f64 (neg.f64 (+.f64 z (*.f64 #s(literal -1 binary64) x)))) (pow.f64 y y))>
#<alt (*.f64 (exp.f64 (neg.f64 (+.f64 z (*.f64 #s(literal -1 binary64) x)))) (pow.f64 y y))>
#<alt (*.f64 (exp.f64 x) (pow.f64 y y))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 z (*.f64 (exp.f64 x) (pow.f64 y y)))) (*.f64 (exp.f64 x) (pow.f64 y y)))>
#<alt (+.f64 (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (exp.f64 x) (pow.f64 y y))) (*.f64 #s(literal 1/2 binary64) (*.f64 z (*.f64 (exp.f64 x) (pow.f64 y y)))))) (*.f64 (exp.f64 x) (pow.f64 y y)))>
#<alt (+.f64 (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (exp.f64 x) (pow.f64 y y))) (*.f64 z (+.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 z (*.f64 (exp.f64 x) (pow.f64 y y)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (exp.f64 x) (pow.f64 y y))))))) (*.f64 (exp.f64 x) (pow.f64 y y)))>
#<alt (*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y))>
#<alt (*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y))>
#<alt (*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y))>
#<alt (*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y))>
#<alt (*.f64 (exp.f64 (+.f64 x (*.f64 #s(literal -1 binary64) z))) (pow.f64 y y))>
#<alt (*.f64 (exp.f64 (+.f64 x (*.f64 #s(literal -1 binary64) z))) (pow.f64 y y))>
#<alt (*.f64 (exp.f64 (+.f64 x (*.f64 #s(literal -1 binary64) z))) (pow.f64 y y))>
#<alt (*.f64 (exp.f64 (+.f64 x (*.f64 #s(literal -1 binary64) z))) (pow.f64 y y))>
Calls

18 calls:

TimeVariablePointExpression
38.0ms
y
@0
(* y (log y))
20.0ms
y
@-inf
(* y (log y))
20.0ms
x
@inf
(* (pow y y) (exp (- x z)))
9.0ms
z
@inf
(* (pow y y) (exp (- x z)))
8.0ms
y
@inf
(* y (log y))

rewrite250.0ms (5.7%)

Algorithm
batch-egg-rewrite
Rules
1112×log1p-expm1-u
1112×expm1-log1p-u
428×fma-define
196×log1p-undefine
191×fmm-def
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01778
122474
2300974
Stop Event
node limit
Counts
3 → 81
Calls
Call 1
Inputs
(*.f64 y (log.f64 y))
(+.f64 x (*.f64 y (log.f64 y)))
(*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z)))
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 (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)) (-.f64 (*.f64 y (log.f64 y)) 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)) (-.f64 (*.f64 y (log.f64 y)) 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)) (-.f64 (*.f64 y (log.f64 y)) 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 x y) (log.f64 y)))))
(/.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)) (-.f64 (*.f64 y (log.f64 y)) 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))) (-.f64 (*.f64 y (log.f64 y)) 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 x z))))) #s(literal 1 binary64))
(/.f64 (*.f64 (pow.f64 y y) (exp.f64 x)) (exp.f64 z))
(pow.f64 (*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (pow.f64 y y)) (exp.f64 (-.f64 x z))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z))))))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 y y) #s(literal 3 binary64)) (pow.f64 (exp.f64 (-.f64 x z)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (exp.f64 (-.f64 x z)) #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 (-.f64 x z)))))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z)))))
(exp.f64 (fma.f64 y (log.f64 y) (-.f64 x z)))
(exp.f64 (*.f64 (fma.f64 y (log.f64 y) (-.f64 x z)) #s(literal 1 binary64)))

simplify126.0ms (2.9%)

Algorithm
egg-herbie
Rules
532×times-frac
388×*-commutative
340×div-sub
235×distribute-lft-in
230×distribute-rgt-in
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02815916
16915476
221085039
367905036
Stop Event
node limit
Counts
143 → 150
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 y (log.f64 y))
x
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (log.f64 y)) x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (log.f64 y)) x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (log.f64 y)) x)))
x
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y (log.f64 y)) x)) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y (log.f64 y)) x)) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y (log.f64 y)) x)) #s(literal 1 binary64))))
x
(*.f64 #s(literal -1 binary64) (*.f64 y (log.f64 (/.f64 #s(literal 1 binary64) y))))
(*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) y))) (/.f64 x y)))
(*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) y))) (/.f64 x y)))
(*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) y))) (/.f64 x 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 x 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 x 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 x y)))))
(exp.f64 (-.f64 x z))
(+.f64 (exp.f64 (-.f64 x z)) (*.f64 y (*.f64 (exp.f64 (-.f64 x z)) (log.f64 y))))
(+.f64 (exp.f64 (-.f64 x z)) (*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y (*.f64 (exp.f64 (-.f64 x z)) (pow.f64 (log.f64 y) #s(literal 2 binary64))))) (*.f64 (exp.f64 (-.f64 x z)) (log.f64 y)))))
(+.f64 (exp.f64 (-.f64 x z)) (*.f64 y (+.f64 (*.f64 y (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 (exp.f64 (-.f64 x z)) (pow.f64 (log.f64 y) #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (exp.f64 (-.f64 x z)) (pow.f64 (log.f64 y) #s(literal 2 binary64)))))) (*.f64 (exp.f64 (-.f64 x z)) (log.f64 y)))))
(*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y))
(*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y))
(*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y))
(*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y))
(*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y))
(*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y))
(*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y))
(*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y))
(*.f64 (exp.f64 (neg.f64 z)) (pow.f64 y y))
(+.f64 (*.f64 x (*.f64 (exp.f64 (neg.f64 z)) (pow.f64 y y))) (*.f64 (exp.f64 (neg.f64 z)) (pow.f64 y y)))
(+.f64 (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 (exp.f64 (neg.f64 z)) (pow.f64 y y)))) (*.f64 (exp.f64 (neg.f64 z)) (pow.f64 y y)))) (*.f64 (exp.f64 (neg.f64 z)) (pow.f64 y y)))
(+.f64 (*.f64 x (+.f64 (*.f64 x (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 (exp.f64 (neg.f64 z)) (pow.f64 y y)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (exp.f64 (neg.f64 z)) (pow.f64 y y))))) (*.f64 (exp.f64 (neg.f64 z)) (pow.f64 y y)))) (*.f64 (exp.f64 (neg.f64 z)) (pow.f64 y y)))
(*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y))
(*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y))
(*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y))
(*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y))
(*.f64 (exp.f64 (neg.f64 (+.f64 z (*.f64 #s(literal -1 binary64) x)))) (pow.f64 y y))
(*.f64 (exp.f64 (neg.f64 (+.f64 z (*.f64 #s(literal -1 binary64) x)))) (pow.f64 y y))
(*.f64 (exp.f64 (neg.f64 (+.f64 z (*.f64 #s(literal -1 binary64) x)))) (pow.f64 y y))
(*.f64 (exp.f64 (neg.f64 (+.f64 z (*.f64 #s(literal -1 binary64) x)))) (pow.f64 y y))
(*.f64 (exp.f64 x) (pow.f64 y y))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 z (*.f64 (exp.f64 x) (pow.f64 y y)))) (*.f64 (exp.f64 x) (pow.f64 y y)))
(+.f64 (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (exp.f64 x) (pow.f64 y y))) (*.f64 #s(literal 1/2 binary64) (*.f64 z (*.f64 (exp.f64 x) (pow.f64 y y)))))) (*.f64 (exp.f64 x) (pow.f64 y y)))
(+.f64 (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (exp.f64 x) (pow.f64 y y))) (*.f64 z (+.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 z (*.f64 (exp.f64 x) (pow.f64 y y)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (exp.f64 x) (pow.f64 y y))))))) (*.f64 (exp.f64 x) (pow.f64 y y)))
(*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y))
(*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y))
(*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y))
(*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y))
(*.f64 (exp.f64 (+.f64 x (*.f64 #s(literal -1 binary64) z))) (pow.f64 y y))
(*.f64 (exp.f64 (+.f64 x (*.f64 #s(literal -1 binary64) z))) (pow.f64 y y))
(*.f64 (exp.f64 (+.f64 x (*.f64 #s(literal -1 binary64) z))) (pow.f64 y y))
(*.f64 (exp.f64 (+.f64 x (*.f64 #s(literal -1 binary64) z))) (pow.f64 y y))
(+.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 (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)) (-.f64 (*.f64 y (log.f64 y)) 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)) (-.f64 (*.f64 y (log.f64 y)) 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)) (-.f64 (*.f64 y (log.f64 y)) 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 x y) (log.f64 y)))))
(/.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)) (-.f64 (*.f64 y (log.f64 y)) 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))) (-.f64 (*.f64 y (log.f64 y)) 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 x z))))) #s(literal 1 binary64))
(/.f64 (*.f64 (pow.f64 y y) (exp.f64 x)) (exp.f64 z))
(pow.f64 (*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (pow.f64 y y)) (exp.f64 (-.f64 x z))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z))))))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 y y) #s(literal 3 binary64)) (pow.f64 (exp.f64 (-.f64 x z)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (exp.f64 (-.f64 x z)) #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 (-.f64 x z)))))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z)))))
(exp.f64 (fma.f64 y (log.f64 y) (-.f64 x z)))
(exp.f64 (*.f64 (fma.f64 y (log.f64 y) (-.f64 x z)) #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))))
(neg.f64 (*.f64 y (neg.f64 (log.f64 y))))
(*.f64 y (log.f64 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)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)))))
(*.f64 y (-.f64 (log.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)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)))))
(*.f64 y (-.f64 (log.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)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)))))
(*.f64 y (-.f64 (log.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)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)))))
(*.f64 y (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))))
(*.f64 y (log.f64 y))
(neg.f64 (*.f64 y (neg.f64 (log.f64 y))))
x
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (log.f64 y)) x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y (/.f64 (log.f64 y) x))))
(*.f64 x (fma.f64 y (/.f64 (log.f64 y) x) #s(literal 1 binary64)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (log.f64 y)) x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y (/.f64 (log.f64 y) x))))
(*.f64 x (fma.f64 y (/.f64 (log.f64 y) x) #s(literal 1 binary64)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (log.f64 y)) x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y (/.f64 (log.f64 y) x))))
(*.f64 x (fma.f64 y (/.f64 (log.f64 y) x) #s(literal 1 binary64)))
x
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y (log.f64 y)) x)) #s(literal 1 binary64))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y (/.f64 (log.f64 y) x))))
(*.f64 x (fma.f64 y (/.f64 (log.f64 y) x) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y (log.f64 y)) x)) #s(literal 1 binary64))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y (/.f64 (log.f64 y) x))))
(*.f64 x (fma.f64 y (/.f64 (log.f64 y) x) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y (log.f64 y)) x)) #s(literal 1 binary64))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y (/.f64 (log.f64 y) x))))
(*.f64 x (fma.f64 y (/.f64 (log.f64 y) x) #s(literal 1 binary64)))
x
(*.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 y (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) y))) (/.f64 x y)))
(*.f64 y (fma.f64 #s(literal -1 binary64) (neg.f64 (log.f64 y)) (/.f64 x y)))
(*.f64 y (+.f64 (log.f64 y) (/.f64 x y)))
(*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) y))) (/.f64 x y)))
(*.f64 y (fma.f64 #s(literal -1 binary64) (neg.f64 (log.f64 y)) (/.f64 x y)))
(*.f64 y (+.f64 (log.f64 y) (/.f64 x y)))
(*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) y))) (/.f64 x y)))
(*.f64 y (fma.f64 #s(literal -1 binary64) (neg.f64 (log.f64 y)) (/.f64 x y)))
(*.f64 y (+.f64 (log.f64 y) (/.f64 x 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)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)))))
(*.f64 y (-.f64 (log.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 x y)))))
(neg.f64 (*.f64 y (*.f64 #s(literal -1 binary64) (+.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)))) (/.f64 x y)))))
(*.f64 y (neg.f64 (-.f64 (/.f64 (neg.f64 x) y) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))))))
(*.f64 y (+.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) (/.f64 x 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 x y)))))
(neg.f64 (*.f64 y (*.f64 #s(literal -1 binary64) (+.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)))) (/.f64 x y)))))
(*.f64 y (neg.f64 (-.f64 (/.f64 (neg.f64 x) y) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))))))
(*.f64 y (+.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) (/.f64 x 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 x y)))))
(neg.f64 (*.f64 y (*.f64 #s(literal -1 binary64) (+.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)))) (/.f64 x y)))))
(*.f64 y (neg.f64 (-.f64 (/.f64 (neg.f64 x) y) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))))))
(*.f64 y (+.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) (/.f64 x y)))
(exp.f64 (-.f64 x z))
(+.f64 (exp.f64 (-.f64 x z)) (*.f64 y (*.f64 (exp.f64 (-.f64 x z)) (log.f64 y))))
(+.f64 (exp.f64 (-.f64 x z)) (*.f64 y (*.f64 (log.f64 y) (exp.f64 (-.f64 x z)))))
(fma.f64 y (*.f64 (log.f64 y) (exp.f64 (-.f64 x z))) (exp.f64 (-.f64 x z)))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (log.f64 y))) (exp.f64 (-.f64 x z)))
(exp.f64 (+.f64 (log1p.f64 (*.f64 y (log.f64 y))) (-.f64 x z)))
(+.f64 (exp.f64 (-.f64 x z)) (*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y (*.f64 (exp.f64 (-.f64 x z)) (pow.f64 (log.f64 y) #s(literal 2 binary64))))) (*.f64 (exp.f64 (-.f64 x z)) (log.f64 y)))))
(+.f64 (exp.f64 (-.f64 x z)) (*.f64 y (fma.f64 #s(literal 1/2 binary64) (*.f64 y (*.f64 (exp.f64 (-.f64 x z)) (pow.f64 (log.f64 y) #s(literal 2 binary64)))) (*.f64 (log.f64 y) (exp.f64 (-.f64 x z))))))
(fma.f64 y (fma.f64 (log.f64 y) (exp.f64 (-.f64 x z)) (*.f64 y (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) (*.f64 (exp.f64 (-.f64 x z)) #s(literal 1/2 binary64))))) (exp.f64 (-.f64 x z)))
(fma.f64 y (*.f64 (exp.f64 (-.f64 x z)) (+.f64 (log.f64 y) (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) (*.f64 y #s(literal 1/2 binary64))))) (exp.f64 (-.f64 x z)))
(+.f64 (exp.f64 (-.f64 x z)) (*.f64 y (+.f64 (*.f64 y (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 (exp.f64 (-.f64 x z)) (pow.f64 (log.f64 y) #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (exp.f64 (-.f64 x z)) (pow.f64 (log.f64 y) #s(literal 2 binary64)))))) (*.f64 (exp.f64 (-.f64 x z)) (log.f64 y)))))
(+.f64 (exp.f64 (-.f64 x z)) (*.f64 y (fma.f64 y (fma.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 (exp.f64 (-.f64 x z)) (pow.f64 (log.f64 y) #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (exp.f64 (-.f64 x z)) (pow.f64 (log.f64 y) #s(literal 2 binary64))))) (*.f64 (log.f64 y) (exp.f64 (-.f64 x z))))))
(fma.f64 y (fma.f64 y (fma.f64 #s(literal 1/2 binary64) (*.f64 (exp.f64 (-.f64 x z)) (pow.f64 (log.f64 y) #s(literal 2 binary64))) (*.f64 (*.f64 (exp.f64 (-.f64 x z)) (pow.f64 (log.f64 y) #s(literal 3 binary64))) (*.f64 y #s(literal 1/6 binary64)))) (*.f64 (log.f64 y) (exp.f64 (-.f64 x z)))) (exp.f64 (-.f64 x z)))
(fma.f64 y (fma.f64 y (*.f64 (exp.f64 (-.f64 x z)) (+.f64 (*.f64 (pow.f64 (log.f64 y) #s(literal 3 binary64)) (*.f64 y #s(literal 1/6 binary64))) (*.f64 #s(literal 1/2 binary64) (pow.f64 (log.f64 y) #s(literal 2 binary64))))) (*.f64 (log.f64 y) (exp.f64 (-.f64 x z)))) (exp.f64 (-.f64 x z)))
(+.f64 (exp.f64 (+.f64 (log1p.f64 (*.f64 y (log.f64 y))) (-.f64 x z))) (*.f64 (*.f64 (exp.f64 (-.f64 x z)) (+.f64 (*.f64 (pow.f64 (log.f64 y) #s(literal 3 binary64)) (*.f64 y #s(literal 1/6 binary64))) (*.f64 #s(literal 1/2 binary64) (pow.f64 (log.f64 y) #s(literal 2 binary64))))) (*.f64 y y)))
(*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y))
(*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y))
(*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y))
(*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y))
(*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y))
(*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y))
(*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y))
(*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y))
(*.f64 (exp.f64 (neg.f64 z)) (pow.f64 y y))
(*.f64 (pow.f64 y y) (exp.f64 (neg.f64 z)))
(/.f64 (pow.f64 y y) (exp.f64 z))
(+.f64 (*.f64 x (*.f64 (exp.f64 (neg.f64 z)) (pow.f64 y y))) (*.f64 (exp.f64 (neg.f64 z)) (pow.f64 y y)))
(*.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (pow.f64 y y) (exp.f64 (neg.f64 z))))
(*.f64 (*.f64 (pow.f64 y y) (exp.f64 (neg.f64 z))) (+.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) (+.f64 #s(literal 1 binary64) x))
(+.f64 (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 (exp.f64 (neg.f64 z)) (pow.f64 y y)))) (*.f64 (exp.f64 (neg.f64 z)) (pow.f64 y y)))) (*.f64 (exp.f64 (neg.f64 z)) (pow.f64 y y)))
(fma.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 (pow.f64 y y) (exp.f64 (neg.f64 z)))) (*.f64 (pow.f64 y y) (exp.f64 (neg.f64 z)))) (*.f64 (pow.f64 y y) (exp.f64 (neg.f64 z))))
(fma.f64 x (*.f64 (+.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 (pow.f64 y y) (exp.f64 (neg.f64 z)))) (*.f64 (pow.f64 y y) (exp.f64 (neg.f64 z))))
(*.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) (+.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) x)))
(+.f64 (*.f64 x (+.f64 (*.f64 x (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 (exp.f64 (neg.f64 z)) (pow.f64 y y)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (exp.f64 (neg.f64 z)) (pow.f64 y y))))) (*.f64 (exp.f64 (neg.f64 z)) (pow.f64 y y)))) (*.f64 (exp.f64 (neg.f64 z)) (pow.f64 y y)))
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(expm1.f64 (log1p.f64 (fma.f64 y (log.f64 y) x)))
(fma.f64 y (log.f64 y) x)
(fma.f64 (sqrt.f64 (log.f64 y)) (*.f64 (sqrt.f64 (log.f64 y)) y) x)
(expm1.f64 (log1p.f64 (fma.f64 y (log.f64 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)
(expm1.f64 (log1p.f64 (fma.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)
(expm1.f64 (log1p.f64 (fma.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)))
(expm1.f64 (log1p.f64 (fma.f64 y (log.f64 y) x)))
(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)
(expm1.f64 (log1p.f64 (fma.f64 y (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)
(expm1.f64 (log1p.f64 (fma.f64 y (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)
(expm1.f64 (log1p.f64 (fma.f64 y (log.f64 y) x)))
(fma.f64 y (log.f64 y) x)
(fma.f64 (*.f64 (log.f64 y) (sqrt.f64 y)) (sqrt.f64 y) x)
(expm1.f64 (log1p.f64 (fma.f64 y (log.f64 y) x)))
(fma.f64 y (log.f64 y) x)
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z))))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y))))
(+.f64 #s(literal 0 binary64) (*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y)))
(+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 (fma.f64 y (log.f64 y) x) z)))
(/.f64 (*.f64 (pow.f64 y y) (exp.f64 x)) (exp.f64 z))
(*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y))
(pow.f64 (*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z))) #s(literal 1 binary64))
(*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y))
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z)))) #s(literal 3 binary64))
(*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y))
(pow.f64 (pow.f64 (*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y))
(pow.f64 (sqrt.f64 (*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z)))) #s(literal 2 binary64))
(*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y))
(sqrt.f64 (pow.f64 (*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z))) #s(literal 2 binary64)))
(*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y))
(log.f64 (pow.f64 (exp.f64 (pow.f64 y y)) (exp.f64 (-.f64 x z))))
(*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z))))))
(*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z))) #s(literal 3 binary64)))
(*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 y y) #s(literal 3 binary64)) (pow.f64 (exp.f64 (-.f64 x z)) #s(literal 3 binary64))))
(*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y))
(cbrt.f64 (*.f64 (pow.f64 (exp.f64 (-.f64 x z)) #s(literal 3 binary64)) (pow.f64 (pow.f64 y y) #s(literal 3 binary64))))
(*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z)))))
(expm1.f64 (log1p.f64 (*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y))))
(+.f64 #s(literal 0 binary64) (*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y)))
(+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 (fma.f64 y (log.f64 y) x) z)))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z)))))
(*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y))
(exp.f64 (fma.f64 y (log.f64 y) (-.f64 x z)))
(*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y))
(exp.f64 (*.f64 (fma.f64 y (log.f64 y) (-.f64 x z)) #s(literal 1 binary64)))
(*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y))

eval34.0ms (0.8%)

Compiler

Compiled 2394 to 904 computations (62.2% saved)

prune24.0ms (0.5%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New1473150
Fresh000
Picked112
Done000
Total1484152
Accuracy
100.0%
Counts
152 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
67.7%
(/.f64 (pow.f64 y y) (exp.f64 z))
67.9%
(*.f64 (pow.f64 y y) (exp.f64 x))
100.0%
(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z))
72.4%
(exp.f64 (-.f64 x z))
Compiler

Compiled 37 to 25 computations (32.4% saved)

localize209.0ms (4.8%)

Localize:

Found 1 expressions with local error:

NewAccuracyProgram
99.6%
(*.f64 (pow.f64 y y) (exp.f64 x))
Compiler

Compiled 39 to 11 computations (71.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 139.0ms
Operation ival-pow, time spent: 91.0ms, 66.0% of total-time
Operation ival-exp, time spent: 28.0ms, 20.0% of total-time
Operation ival-sub, time spent: 8.0ms, 6.0% of total-time
Operation ival-mult, time spent: 8.0ms, 6.0% of total-time
Operation ival-div, time spent: 3.0ms, 2.0% of total-time
Operation const, time spent: 1.0ms, 1.0% of total-time

series3.0ms (0.1%)

Counts
1 → 24
Calls
Call 1
Inputs
#<alt (*.f64 (pow.f64 y y) (exp.f64 x))>
Outputs
#<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

6 calls:

TimeVariablePointExpression
1.0ms
y
@0
(* (pow y y) (exp x))
0.0ms
y
@inf
(* (pow y y) (exp x))
0.0ms
x
@inf
(* (pow y y) (exp x))
0.0ms
x
@0
(* (pow y y) (exp x))
0.0ms
x
@-inf
(* (pow y y) (exp x))

rewrite71.0ms (1.6%)

Algorithm
batch-egg-rewrite
Rules
477×unpow-prod-down
424×log1p-expm1-u
424×expm1-log1p-u
406×add-exp-log
389×add-log-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01126
110726
2120626
Stop Event
node limit
Counts
1 → 21
Calls
Call 1
Inputs
(*.f64 (pow.f64 y y) (exp.f64 x))
Outputs
(+.f64 #s(literal 0 binary64) (*.f64 (pow.f64 y y) (exp.f64 x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 y y)) (exp.f64 x))) #s(literal 2 binary64))) (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 (+.f64 #s(literal 1 binary64) (*.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 2 binary64)) #s(literal 1/2 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))
(pow.f64 (E.f64) (fma.f64 y (log.f64 y) x))
(pow.f64 (exp.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)))
(pow.f64 (exp.f64 (sqrt.f64 (fma.f64 y (log.f64 y) x))) (sqrt.f64 (fma.f64 y (log.f64 y) x)))
(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)))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 y y) (exp.f64 x)) #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 (*.f64 #s(literal 1/3 binary64) (fma.f64 y (log.f64 y) x)) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (fma.f64 y (log.f64 y) x)) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 y (log.f64 y) x)) #s(literal 2 binary64)))

simplify72.0ms (1.6%)

Algorithm
egg-herbie
Rules
841×prod-exp
796×distribute-lft-in
687×distribute-rgt-in
342×*-commutative
303×associate-*r*
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01031583
12461549
26731519
320521493
461601493
Stop Event
node limit
Counts
45 → 53
Calls
Call 1
Inputs
(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) (*.f64 (pow.f64 y y) (exp.f64 x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 y y)) (exp.f64 x))) #s(literal 2 binary64))) (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 (+.f64 #s(literal 1 binary64) (*.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 2 binary64)) #s(literal 1/2 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))
(pow.f64 (E.f64) (fma.f64 y (log.f64 y) x))
(pow.f64 (exp.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)))
(pow.f64 (exp.f64 (sqrt.f64 (fma.f64 y (log.f64 y) x))) (sqrt.f64 (fma.f64 y (log.f64 y) x)))
(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)))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 y y) (exp.f64 x)) #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 (*.f64 #s(literal 1/3 binary64) (fma.f64 y (log.f64 y) x)) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (fma.f64 y (log.f64 y) x)) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 y (log.f64 y) x)) #s(literal 2 binary64)))
Outputs
(exp.f64 x)
(+.f64 (exp.f64 x) (*.f64 y (*.f64 (exp.f64 x) (log.f64 y))))
(+.f64 (exp.f64 x) (*.f64 (*.f64 y (exp.f64 x)) (log.f64 y)))
(fma.f64 y (*.f64 (exp.f64 x) (log.f64 y)) (exp.f64 x))
(*.f64 (+.f64 (*.f64 y (log.f64 y)) #s(literal 1 binary64)) (exp.f64 x))
(*.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 y (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 (fma.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)))))
(fma.f64 y (fma.f64 (exp.f64 x) (log.f64 y) (*.f64 y (*.f64 (exp.f64 x) (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) #s(literal 1/2 binary64))))) (exp.f64 x))
(fma.f64 y (*.f64 (exp.f64 x) (+.f64 (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) (*.f64 y #s(literal 1/2 binary64))) (log.f64 y))) (exp.f64 x))
(fma.f64 y (*.f64 (+.f64 (*.f64 (log.f64 y) (*.f64 y #s(literal 1/2 binary64))) #s(literal 1 binary64)) (*.f64 (exp.f64 x) (log.f64 y))) (exp.f64 x))
(+.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) (*.f64 y (fma.f64 y (fma.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 (exp.f64 x) (pow.f64 (log.f64 y) #s(literal 3 binary64)))) (*.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 x)) (pow.f64 (log.f64 y) #s(literal 2 binary64)))) (*.f64 (exp.f64 x) (log.f64 y)))))
(fma.f64 y (fma.f64 (exp.f64 x) (log.f64 y) (*.f64 y (fma.f64 #s(literal 1/2 binary64) (*.f64 (exp.f64 x) (pow.f64 (log.f64 y) #s(literal 2 binary64))) (*.f64 y (*.f64 (*.f64 (exp.f64 x) (pow.f64 (log.f64 y) #s(literal 3 binary64))) #s(literal 1/6 binary64)))))) (exp.f64 x))
(fma.f64 y (fma.f64 y (*.f64 (exp.f64 x) (+.f64 (*.f64 (pow.f64 (log.f64 y) #s(literal 3 binary64)) (*.f64 y #s(literal 1/6 binary64))) (*.f64 #s(literal 1/2 binary64) (pow.f64 (log.f64 y) #s(literal 2 binary64))))) (*.f64 (exp.f64 x) (log.f64 y))) (exp.f64 x))
(fma.f64 y (fma.f64 (exp.f64 x) (log.f64 y) (*.f64 (*.f64 (exp.f64 x) (*.f64 y (pow.f64 (log.f64 y) #s(literal 2 binary64)))) (+.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 y) (*.f64 y #s(literal 1/6 binary64)))))) (exp.f64 x))
(*.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 #s(literal 1 binary64)) (pow.f64 y y))
(*.f64 (pow.f64 y y) (+.f64 x #s(literal 1 binary64)))
(+.f64 (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (pow.f64 y y))) (pow.f64 y y))) (pow.f64 y y))
(fma.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 x (pow.f64 y y)) (pow.f64 y y)) (pow.f64 y y))
(fma.f64 x (*.f64 (+.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (pow.f64 y y)) (pow.f64 y y))
(*.f64 (pow.f64 y y) (+.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (+.f64 x #s(literal 1 binary64))))
(*.f64 (pow.f64 y y) (+.f64 (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
(+.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))
(fma.f64 x (fma.f64 x (fma.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))
(fma.f64 x (fma.f64 x (*.f64 (pow.f64 y y) (+.f64 (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (pow.f64 y y)) (pow.f64 y y))
(fma.f64 x (fma.f64 x (*.f64 (pow.f64 y y) (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (pow.f64 y y)) (pow.f64 y y))
(*.f64 (pow.f64 y y) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x x))))
(*.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) (*.f64 (pow.f64 y y) (exp.f64 x)))
(*.f64 (exp.f64 x) (pow.f64 y y))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 y y)) (exp.f64 x))) #s(literal 2 binary64))) (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 #s(literal 2 binary64) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 y y)) (exp.f64 x)))))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y y) (exp.f64 x))) #s(literal 1 binary64))
(*.f64 (exp.f64 x) (pow.f64 y y))
(pow.f64 (*.f64 (pow.f64 y y) (exp.f64 x)) #s(literal 1 binary64))
(*.f64 (exp.f64 x) (pow.f64 y y))
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 y y) (exp.f64 x))) #s(literal 3 binary64))
(*.f64 (exp.f64 x) (pow.f64 y y))
(pow.f64 (pow.f64 (*.f64 (pow.f64 y y) (exp.f64 x)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(*.f64 (exp.f64 x) (pow.f64 y y))
(pow.f64 (pow.f64 (*.f64 (pow.f64 y y) (exp.f64 x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 (exp.f64 x) (pow.f64 y y))
(pow.f64 (sqrt.f64 (*.f64 (pow.f64 y y) (exp.f64 x))) #s(literal 2 binary64))
(*.f64 (exp.f64 x) (pow.f64 y y))
(pow.f64 (E.f64) (fma.f64 y (log.f64 y) x))
(*.f64 (exp.f64 x) (pow.f64 y y))
(pow.f64 (exp.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)))
(pow.f64 (exp.f64 (sqrt.f64 (fma.f64 y (log.f64 y) x))) (sqrt.f64 (fma.f64 y (log.f64 y) x)))
(sqrt.f64 (pow.f64 (*.f64 (pow.f64 y y) (exp.f64 x)) #s(literal 2 binary64)))
(*.f64 (exp.f64 x) (pow.f64 y y))
(log.f64 (pow.f64 (exp.f64 (pow.f64 y y)) (exp.f64 x)))
(*.f64 (exp.f64 x) (pow.f64 y y))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 y y) (exp.f64 x)) #s(literal 3 binary64)))
(*.f64 (exp.f64 x) (pow.f64 y y))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 y y) (exp.f64 x))))
(*.f64 (exp.f64 x) (pow.f64 y y))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 y y) (exp.f64 x))))
(*.f64 (exp.f64 x) (pow.f64 y y))
(exp.f64 (fma.f64 y (log.f64 y) x))
(*.f64 (exp.f64 x) (pow.f64 y y))
(exp.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (fma.f64 y (log.f64 y) x)) #s(literal 3 binary64)))
(*.f64 (exp.f64 x) (pow.f64 y y))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (fma.f64 y (log.f64 y) x)) #s(literal 1/3 binary64)))
(*.f64 (exp.f64 x) (pow.f64 y y))
(exp.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 y (log.f64 y) x)) #s(literal 2 binary64)))
(*.f64 (exp.f64 x) (pow.f64 y y))

eval11.0ms (0.3%)

Compiler

Compiled 737 to 277 computations (62.4% saved)

prune10.0ms (0.2%)

Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New49453
Fresh000
Picked033
Done101
Total50757
Accuracy
100.0%
Counts
57 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
55.5%
(pow.f64 y y)
67.7%
(/.f64 (pow.f64 y y) (exp.f64 z))
63.1%
(*.f64 (pow.f64 y y) (+.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (+.f64 x #s(literal 1 binary64))))
46.8%
(*.f64 (pow.f64 y y) (+.f64 x #s(literal 1 binary64)))
67.9%
(*.f64 (pow.f64 y y) (exp.f64 x))
72.4%
(exp.f64 (-.f64 x z))
47.1%
(exp.f64 x)
Compiler

Compiled 62 to 43 computations (30.6% saved)

localize111.0ms (2.5%)

Localize:

Found 2 expressions with local error:

NewAccuracyProgram
100.0%
(+.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (+.f64 x #s(literal 1 binary64)))
100.0%
(*.f64 (pow.f64 y y) (+.f64 x #s(literal 1 binary64)))
Compiler

Compiled 67 to 34 computations (49.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 41.0ms
Operation ival-mult, time spent: 15.0ms, 36.0% of total-time
Operation ival-pow, time spent: 13.0ms, 32.0% of total-time
Operation ival-add, time spent: 9.0ms, 22.0% of total-time
Operation ival-exp, time spent: 2.0ms, 5.0% of total-time
Operation const, time spent: 2.0ms, 5.0% of total-time

series4.0ms (0.1%)

Counts
2 → 36
Calls
Call 1
Inputs
#<alt (*.f64 (pow.f64 y y) (+.f64 x #s(literal 1 binary64)))>
#<alt (+.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (+.f64 x #s(literal 1 binary64)))>
Outputs
#<alt (+.f64 #s(literal 1 binary64) x)>
#<alt (+.f64 #s(literal 1 binary64) (+.f64 x (*.f64 y (*.f64 (log.f64 y) (+.f64 #s(literal 1 binary64) x)))))>
#<alt (+.f64 #s(literal 1 binary64) (+.f64 x (*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) x)))) (*.f64 (log.f64 y) (+.f64 #s(literal 1 binary64) x))))))>
#<alt (+.f64 #s(literal 1 binary64) (+.f64 x (*.f64 y (+.f64 (*.f64 y (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 (pow.f64 (log.f64 y) #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) x)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) x))))) (*.f64 (log.f64 y) (+.f64 #s(literal 1 binary64) x))))))>
#<alt (*.f64 (+.f64 #s(literal 1 binary64) x) (pow.f64 y y))>
#<alt (*.f64 (+.f64 #s(literal 1 binary64) x) (pow.f64 y y))>
#<alt (*.f64 (+.f64 #s(literal 1 binary64) x) (pow.f64 y y))>
#<alt (*.f64 (+.f64 #s(literal 1 binary64) x) (pow.f64 y y))>
#<alt (*.f64 (+.f64 #s(literal 1 binary64) x) (pow.f64 y y))>
#<alt (*.f64 (+.f64 #s(literal 1 binary64) x) (pow.f64 y y))>
#<alt (*.f64 (+.f64 #s(literal 1 binary64) x) (pow.f64 y y))>
#<alt (*.f64 (+.f64 #s(literal 1 binary64) 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 (pow.f64 y y)) (pow.f64 y y))>
#<alt (+.f64 (*.f64 x (pow.f64 y y)) (pow.f64 y y))>
#<alt (*.f64 x (pow.f64 y y))>
#<alt (*.f64 x (+.f64 (/.f64 (pow.f64 y y) x) (pow.f64 y y)))>
#<alt (*.f64 x (+.f64 (/.f64 (pow.f64 y y) x) (pow.f64 y y)))>
#<alt (*.f64 x (+.f64 (/.f64 (pow.f64 y y) x) (pow.f64 y y)))>
#<alt (*.f64 x (pow.f64 y y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y y) x)) (*.f64 #s(literal -1 binary64) (pow.f64 y y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y y) x)) (*.f64 #s(literal -1 binary64) (pow.f64 y y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y y) x)) (*.f64 #s(literal -1 binary64) (pow.f64 y y)))))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) x)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))))>
#<alt (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
Calls

9 calls:

TimeVariablePointExpression
1.0ms
y
@0
(* (pow y y) (+ x 1))
0.0ms
y
@-inf
(* (pow y y) (+ x 1))
0.0ms
y
@inf
(* (pow y y) (+ x 1))
0.0ms
x
@-inf
(* (pow y y) (+ x 1))
0.0ms
x
@inf
(+ (* x (* x 1/2)) (+ x 1))

rewrite113.0ms (2.6%)

Algorithm
batch-egg-rewrite
Rules
1034×log1p-expm1-u
1034×expm1-log1p-u
554×fma-define
282×fmm-def
166×expm1-undefine
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01558
120855
2290951
Stop Event
node limit
Counts
2 → 118
Calls
Call 1
Inputs
(*.f64 (pow.f64 y y) (+.f64 x #s(literal 1 binary64)))
(+.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (+.f64 x #s(literal 1 binary64)))
Outputs
(+.f64 (pow.f64 y y) (*.f64 (pow.f64 y y) x))
(+.f64 (*.f64 (pow.f64 y y) x) (pow.f64 y y))
(+.f64 (*.f64 (*.f64 (pow.f64 y y) x) #s(literal 1 binary64)) (pow.f64 y y))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 y y) (+.f64 x #s(literal 1 binary64))))) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 (*.f64 (pow.f64 y y) x) #s(literal 3 binary64)) (pow.f64 (pow.f64 y y) #s(literal 3 binary64))) (fma.f64 (*.f64 (pow.f64 y y) x) (*.f64 (pow.f64 y y) x) (-.f64 (pow.f64 (pow.f64 y #s(literal 2 binary64)) y) (*.f64 (*.f64 (pow.f64 y y) x) (pow.f64 y y)))))
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 y y) x) (*.f64 (pow.f64 y y) x)) (pow.f64 (pow.f64 y #s(literal 2 binary64)) y)) (-.f64 (*.f64 (pow.f64 y y) x) (pow.f64 y y)))
(/.f64 (*.f64 (pow.f64 y y) (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x))
(/.f64 (*.f64 (pow.f64 y y) (fma.f64 x x #s(literal -1 binary64))) (+.f64 x #s(literal -1 binary64)))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 y y)) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x))
(/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (pow.f64 y y)) (+.f64 x #s(literal -1 binary64)))
(pow.f64 (*.f64 (pow.f64 y y) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 y y) (+.f64 x #s(literal 1 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (pow.f64 y y) (+.f64 x #s(literal 1 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (pow.f64 y y) (+.f64 x #s(literal 1 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (pow.f64 y y) (+.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (pow.f64 y y)) (+.f64 x #s(literal 1 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (pow.f64 y y) (+.f64 x #s(literal 1 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 y y) (+.f64 x #s(literal 1 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 y y) #s(literal 3 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 y y) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 y y) (+.f64 x #s(literal 1 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 y y) (+.f64 x #s(literal 1 binary64)))))
(exp.f64 (fma.f64 y (log.f64 y) (log1p.f64 x)))
(exp.f64 (*.f64 (fma.f64 y (log.f64 y) (log1p.f64 x)) #s(literal 1 binary64)))
(fma.f64 (pow.f64 y y) x (pow.f64 y y))
(fma.f64 (pow.f64 y y) #s(literal 1 binary64) (*.f64 (pow.f64 y y) x))
(fma.f64 x (pow.f64 y y) (pow.f64 y y))
(fma.f64 #s(literal 1 binary64) (pow.f64 y y) (*.f64 (pow.f64 y y) x))
(fma.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y y) x) (pow.f64 y y))
(fma.f64 (cbrt.f64 (pow.f64 y y)) (cbrt.f64 (pow.f64 (pow.f64 y #s(literal 2 binary64)) y)) (*.f64 (pow.f64 y y) x))
(fma.f64 (cbrt.f64 (pow.f64 (pow.f64 y #s(literal 2 binary64)) y)) (cbrt.f64 (pow.f64 y y)) (*.f64 (pow.f64 y y) x))
(fma.f64 (cbrt.f64 (pow.f64 (pow.f64 y #s(literal 2 binary64)) y)) (*.f64 (cbrt.f64 (pow.f64 y y)) #s(literal 1 binary64)) (*.f64 (pow.f64 y y) x))
(fma.f64 (cbrt.f64 (pow.f64 (pow.f64 y #s(literal 2 binary64)) y)) (*.f64 (cbrt.f64 (pow.f64 y y)) x) (pow.f64 y y))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) (pow.f64 y y)) (pow.f64 y y))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (pow.f64 y y)) (pow.f64 y y))
(fma.f64 (sqrt.f64 (pow.f64 y y)) (sqrt.f64 (pow.f64 y y)) (*.f64 (pow.f64 y y) x))
(fma.f64 (sqrt.f64 (pow.f64 y y)) (*.f64 (sqrt.f64 (pow.f64 y y)) #s(literal 1 binary64)) (*.f64 (pow.f64 y y) x))
(fma.f64 (sqrt.f64 (pow.f64 y y)) (*.f64 (sqrt.f64 (pow.f64 y y)) x) (pow.f64 y y))
(fma.f64 (*.f64 (pow.f64 y y) x) #s(literal 1 binary64) (pow.f64 y y))
(fma.f64 (pow.f64 #s(literal 1 binary64) y) (pow.f64 y y) (*.f64 (pow.f64 y y) x))
(fma.f64 (pow.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) y) (pow.f64 (cbrt.f64 y) y) (*.f64 (pow.f64 y y) x))
(fma.f64 (pow.f64 (sqrt.f64 y) y) (pow.f64 (sqrt.f64 y) y) (*.f64 (pow.f64 y y) x))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 (pow.f64 y y) x)) (cbrt.f64 (*.f64 (pow.f64 y y) x))) (cbrt.f64 (*.f64 (pow.f64 y y) x)) (pow.f64 y y))
(fma.f64 (sqrt.f64 (*.f64 (pow.f64 y y) x)) (sqrt.f64 (*.f64 (pow.f64 y y) x)) (pow.f64 y y))
(fma.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 (pow.f64 y y))) (*.f64 (sqrt.f64 x) (sqrt.f64 (pow.f64 y y))) (pow.f64 y y))
(fma.f64 (*.f64 (sqrt.f64 (pow.f64 y y)) (sqrt.f64 x)) (*.f64 (sqrt.f64 (pow.f64 y y)) (sqrt.f64 x)) (pow.f64 y y))
(fma.f64 (*.f64 x (cbrt.f64 (pow.f64 (pow.f64 y #s(literal 2 binary64)) y))) (cbrt.f64 (pow.f64 y y)) (pow.f64 y y))
(fma.f64 (*.f64 x (sqrt.f64 (pow.f64 y y))) (sqrt.f64 (pow.f64 y y)) (pow.f64 y y))
(fma.f64 (*.f64 (pow.f64 y y) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (pow.f64 y y))
(fma.f64 (*.f64 (pow.f64 y y) (sqrt.f64 x)) (sqrt.f64 x) (pow.f64 y y))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -1 binary64)) x)) (/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)) (-.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -1 binary64)) x)))
(*.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) (pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))))
(*.f64 (sqrt.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))))
(*.f64 (fma.f64 (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))))
(*.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -1 binary64)) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))) (fma.f64 (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -1 binary64)) x) (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)))))
(/.f64 (fma.f64 (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))))
(/.f64 (fma.f64 (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (+.f64 x #s(literal 1 binary64)))))))
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2 binary64))) (-.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -1 binary64)) x))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -1 binary64)) x)))
(/.f64 (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)) x) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)) x) (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)) x) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)) x) #s(literal 1 binary64)))))
(/.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))) (-.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)) x) (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)) x) #s(literal -1 binary64)) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)))
(pow.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(cbrt.f64 (pow.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))))
(log1p.f64 (expm1.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))))
(exp.f64 (log1p.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)) x)))
(exp.f64 (*.f64 (log1p.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)) x)) #s(literal 1 binary64)))
(fma.f64 x #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))
(fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (+.f64 x #s(literal 1 binary64)))
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))
(fma.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) (+.f64 x #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)) x) #s(literal 1 binary64))
(fma.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
(fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)) (+.f64 x #s(literal 1 binary64)))
(fma.f64 (*.f64 x #s(literal 1/2 binary64)) x (+.f64 x #s(literal 1 binary64)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))
(fma.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (*.f64 x #s(literal 1/2 binary64))) x) (+.f64 x #s(literal 1 binary64)))
(fma.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64)) (+.f64 x #s(literal 1 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) (+.f64 x #s(literal 1 binary64)))
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) (*.f64 x #s(literal 1/2 binary64))) (+.f64 x #s(literal 1 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64) (+.f64 x #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
(fma.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) x) (+.f64 x #s(literal 1 binary64)))
(fma.f64 (*.f64 x (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 x (sqrt.f64 #s(literal 1/2 binary64))) (+.f64 x #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (*.f64 x #s(literal 1/2 binary64))) (+.f64 x #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))
(fma.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
(fma.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)) x) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (*.f64 (cbrt.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)) x)) (cbrt.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)) x))) (cbrt.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)) x)) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)) x)) (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)) x)) #s(literal 1 binary64))
(fma.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x #s(literal 1 binary64))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 x #s(literal 1/2 binary64))) (+.f64 x #s(literal 1 binary64)))
(fma.f64 (*.f64 x (sqrt.f64 (*.f64 x #s(literal 1/2 binary64)))) (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (+.f64 x #s(literal 1 binary64)))
(fma.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (+.f64 x #s(literal 1 binary64)))
(fma.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 x)) (sqrt.f64 x) (+.f64 x #s(literal 1 binary64)))

simplify137.0ms (3.1%)

Algorithm
egg-herbie
Rules
448×distribute-lft-in
422×distribute-rgt-in
335×exp-prod
330×*-commutative
277×cube-prod
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03265651
18035467
221375367
368975367
Stop Event
node limit
Counts
154 → 170
Calls
Call 1
Inputs
(+.f64 #s(literal 1 binary64) x)
(+.f64 #s(literal 1 binary64) (+.f64 x (*.f64 y (*.f64 (log.f64 y) (+.f64 #s(literal 1 binary64) x)))))
(+.f64 #s(literal 1 binary64) (+.f64 x (*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) x)))) (*.f64 (log.f64 y) (+.f64 #s(literal 1 binary64) x))))))
(+.f64 #s(literal 1 binary64) (+.f64 x (*.f64 y (+.f64 (*.f64 y (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 (pow.f64 (log.f64 y) #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) x)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) x))))) (*.f64 (log.f64 y) (+.f64 #s(literal 1 binary64) x))))))
(*.f64 (+.f64 #s(literal 1 binary64) x) (pow.f64 y y))
(*.f64 (+.f64 #s(literal 1 binary64) x) (pow.f64 y y))
(*.f64 (+.f64 #s(literal 1 binary64) x) (pow.f64 y y))
(*.f64 (+.f64 #s(literal 1 binary64) x) (pow.f64 y y))
(*.f64 (+.f64 #s(literal 1 binary64) x) (pow.f64 y y))
(*.f64 (+.f64 #s(literal 1 binary64) x) (pow.f64 y y))
(*.f64 (+.f64 #s(literal 1 binary64) x) (pow.f64 y y))
(*.f64 (+.f64 #s(literal 1 binary64) x) (pow.f64 y y))
(pow.f64 y y)
(+.f64 (*.f64 x (pow.f64 y y)) (pow.f64 y y))
(+.f64 (*.f64 x (pow.f64 y y)) (pow.f64 y y))
(+.f64 (*.f64 x (pow.f64 y y)) (pow.f64 y y))
(*.f64 x (pow.f64 y y))
(*.f64 x (+.f64 (/.f64 (pow.f64 y y) x) (pow.f64 y y)))
(*.f64 x (+.f64 (/.f64 (pow.f64 y y) x) (pow.f64 y y)))
(*.f64 x (+.f64 (/.f64 (pow.f64 y y) x) (pow.f64 y y)))
(*.f64 x (pow.f64 y y))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y y) x)) (*.f64 #s(literal -1 binary64) (pow.f64 y y)))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y y) x)) (*.f64 #s(literal -1 binary64) (pow.f64 y y)))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y y) x)) (*.f64 #s(literal -1 binary64) (pow.f64 y y)))))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) x)
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))))
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(+.f64 (pow.f64 y y) (*.f64 (pow.f64 y y) x))
(+.f64 (*.f64 (pow.f64 y y) x) (pow.f64 y y))
(+.f64 (*.f64 (*.f64 (pow.f64 y y) x) #s(literal 1 binary64)) (pow.f64 y y))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 y y) (+.f64 x #s(literal 1 binary64))))) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 (*.f64 (pow.f64 y y) x) #s(literal 3 binary64)) (pow.f64 (pow.f64 y y) #s(literal 3 binary64))) (fma.f64 (*.f64 (pow.f64 y y) x) (*.f64 (pow.f64 y y) x) (-.f64 (pow.f64 (pow.f64 y #s(literal 2 binary64)) y) (*.f64 (*.f64 (pow.f64 y y) x) (pow.f64 y y)))))
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 y y) x) (*.f64 (pow.f64 y y) x)) (pow.f64 (pow.f64 y #s(literal 2 binary64)) y)) (-.f64 (*.f64 (pow.f64 y y) x) (pow.f64 y y)))
(/.f64 (*.f64 (pow.f64 y y) (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x))
(/.f64 (*.f64 (pow.f64 y y) (fma.f64 x x #s(literal -1 binary64))) (+.f64 x #s(literal -1 binary64)))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 y y)) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x))
(/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (pow.f64 y y)) (+.f64 x #s(literal -1 binary64)))
(pow.f64 (*.f64 (pow.f64 y y) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 y y) (+.f64 x #s(literal 1 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (pow.f64 y y) (+.f64 x #s(literal 1 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (pow.f64 y y) (+.f64 x #s(literal 1 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (pow.f64 y y) (+.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (pow.f64 y y)) (+.f64 x #s(literal 1 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (pow.f64 y y) (+.f64 x #s(literal 1 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 y y) (+.f64 x #s(literal 1 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 y y) #s(literal 3 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 y y) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 y y) (+.f64 x #s(literal 1 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 y y) (+.f64 x #s(literal 1 binary64)))))
(exp.f64 (fma.f64 y (log.f64 y) (log1p.f64 x)))
(exp.f64 (*.f64 (fma.f64 y (log.f64 y) (log1p.f64 x)) #s(literal 1 binary64)))
(fma.f64 (pow.f64 y y) x (pow.f64 y y))
(fma.f64 (pow.f64 y y) #s(literal 1 binary64) (*.f64 (pow.f64 y y) x))
(fma.f64 x (pow.f64 y y) (pow.f64 y y))
(fma.f64 #s(literal 1 binary64) (pow.f64 y y) (*.f64 (pow.f64 y y) x))
(fma.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y y) x) (pow.f64 y y))
(fma.f64 (cbrt.f64 (pow.f64 y y)) (cbrt.f64 (pow.f64 (pow.f64 y #s(literal 2 binary64)) y)) (*.f64 (pow.f64 y y) x))
(fma.f64 (cbrt.f64 (pow.f64 (pow.f64 y #s(literal 2 binary64)) y)) (cbrt.f64 (pow.f64 y y)) (*.f64 (pow.f64 y y) x))
(fma.f64 (cbrt.f64 (pow.f64 (pow.f64 y #s(literal 2 binary64)) y)) (*.f64 (cbrt.f64 (pow.f64 y y)) #s(literal 1 binary64)) (*.f64 (pow.f64 y y) x))
(fma.f64 (cbrt.f64 (pow.f64 (pow.f64 y #s(literal 2 binary64)) y)) (*.f64 (cbrt.f64 (pow.f64 y y)) x) (pow.f64 y y))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) (pow.f64 y y)) (pow.f64 y y))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (pow.f64 y y)) (pow.f64 y y))
(fma.f64 (sqrt.f64 (pow.f64 y y)) (sqrt.f64 (pow.f64 y y)) (*.f64 (pow.f64 y y) x))
(fma.f64 (sqrt.f64 (pow.f64 y y)) (*.f64 (sqrt.f64 (pow.f64 y y)) #s(literal 1 binary64)) (*.f64 (pow.f64 y y) x))
(fma.f64 (sqrt.f64 (pow.f64 y y)) (*.f64 (sqrt.f64 (pow.f64 y y)) x) (pow.f64 y y))
(fma.f64 (*.f64 (pow.f64 y y) x) #s(literal 1 binary64) (pow.f64 y y))
(fma.f64 (pow.f64 #s(literal 1 binary64) y) (pow.f64 y y) (*.f64 (pow.f64 y y) x))
(fma.f64 (pow.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) y) (pow.f64 (cbrt.f64 y) y) (*.f64 (pow.f64 y y) x))
(fma.f64 (pow.f64 (sqrt.f64 y) y) (pow.f64 (sqrt.f64 y) y) (*.f64 (pow.f64 y y) x))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 (pow.f64 y y) x)) (cbrt.f64 (*.f64 (pow.f64 y y) x))) (cbrt.f64 (*.f64 (pow.f64 y y) x)) (pow.f64 y y))
(fma.f64 (sqrt.f64 (*.f64 (pow.f64 y y) x)) (sqrt.f64 (*.f64 (pow.f64 y y) x)) (pow.f64 y y))
(fma.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 (pow.f64 y y))) (*.f64 (sqrt.f64 x) (sqrt.f64 (pow.f64 y y))) (pow.f64 y y))
(fma.f64 (*.f64 (sqrt.f64 (pow.f64 y y)) (sqrt.f64 x)) (*.f64 (sqrt.f64 (pow.f64 y y)) (sqrt.f64 x)) (pow.f64 y y))
(fma.f64 (*.f64 x (cbrt.f64 (pow.f64 (pow.f64 y #s(literal 2 binary64)) y))) (cbrt.f64 (pow.f64 y y)) (pow.f64 y y))
(fma.f64 (*.f64 x (sqrt.f64 (pow.f64 y y))) (sqrt.f64 (pow.f64 y y)) (pow.f64 y y))
(fma.f64 (*.f64 (pow.f64 y y) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (pow.f64 y y))
(fma.f64 (*.f64 (pow.f64 y y) (sqrt.f64 x)) (sqrt.f64 x) (pow.f64 y y))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -1 binary64)) x)) (/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)) (-.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -1 binary64)) x)))
(*.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) (pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))))
(*.f64 (sqrt.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))))
(*.f64 (fma.f64 (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))))
(*.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -1 binary64)) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))) (fma.f64 (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -1 binary64)) x) (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)))))
(/.f64 (fma.f64 (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))))
(/.f64 (fma.f64 (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (+.f64 x #s(literal 1 binary64)))))))
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2 binary64))) (-.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -1 binary64)) x))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -1 binary64)) x)))
(/.f64 (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)) x) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)) x) (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)) x) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)) x) #s(literal 1 binary64)))))
(/.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))) (-.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)) x) (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)) x) #s(literal -1 binary64)) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)))
(pow.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(cbrt.f64 (pow.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))))
(log1p.f64 (expm1.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))))
(exp.f64 (log1p.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)) x)))
(exp.f64 (*.f64 (log1p.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)) x)) #s(literal 1 binary64)))
(fma.f64 x #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))
(fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (+.f64 x #s(literal 1 binary64)))
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))
(fma.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) (+.f64 x #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)) x) #s(literal 1 binary64))
(fma.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
(fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)) (+.f64 x #s(literal 1 binary64)))
(fma.f64 (*.f64 x #s(literal 1/2 binary64)) x (+.f64 x #s(literal 1 binary64)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))
(fma.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (*.f64 x #s(literal 1/2 binary64))) x) (+.f64 x #s(literal 1 binary64)))
(fma.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64)) (+.f64 x #s(literal 1 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) (+.f64 x #s(literal 1 binary64)))
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) (*.f64 x #s(literal 1/2 binary64))) (+.f64 x #s(literal 1 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64) (+.f64 x #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
(fma.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) x) (+.f64 x #s(literal 1 binary64)))
(fma.f64 (*.f64 x (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 x (sqrt.f64 #s(literal 1/2 binary64))) (+.f64 x #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (*.f64 x #s(literal 1/2 binary64))) (+.f64 x #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))
(fma.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
(fma.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)) x) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (*.f64 (cbrt.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)) x)) (cbrt.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)) x))) (cbrt.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)) x)) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)) x)) (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)) x)) #s(literal 1 binary64))
(fma.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x #s(literal 1 binary64))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 x #s(literal 1/2 binary64))) (+.f64 x #s(literal 1 binary64)))
(fma.f64 (*.f64 x (sqrt.f64 (*.f64 x #s(literal 1/2 binary64)))) (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (+.f64 x #s(literal 1 binary64)))
(fma.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (+.f64 x #s(literal 1 binary64)))
(fma.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 x)) (sqrt.f64 x) (+.f64 x #s(literal 1 binary64)))
Outputs
(+.f64 #s(literal 1 binary64) x)
(+.f64 #s(literal 1 binary64) (+.f64 x (*.f64 y (*.f64 (log.f64 y) (+.f64 #s(literal 1 binary64) x)))))
(+.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 y (*.f64 (log.f64 y) (+.f64 #s(literal 1 binary64) x))))
(*.f64 (+.f64 (*.f64 y (log.f64 y)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x))
(*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (*.f64 y (log.f64 y))))
(+.f64 #s(literal 1 binary64) (+.f64 x (*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) x)))) (*.f64 (log.f64 y) (+.f64 #s(literal 1 binary64) x))))))
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(/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)) x) (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)) x) #s(literal -1 binary64)) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)))
(/.f64 (fma.f64 (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))) (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal -1 binary64)) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)))
(pow.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(literal 3 binary64))
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64))
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(sqrt.f64 (pow.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(log.f64 (exp.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))))
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(cbrt.f64 (pow.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64)))
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))))
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(log1p.f64 (expm1.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))))
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(exp.f64 (log1p.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)) x)))
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(exp.f64 (*.f64 (log1p.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)) x)) #s(literal 1 binary64)))
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 x #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (+.f64 x #s(literal 1 binary64)))
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) (+.f64 x #s(literal 1 binary64)))
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)) x) #s(literal 1 binary64))
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)) (+.f64 x #s(literal 1 binary64)))
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 x #s(literal 1/2 binary64)) x (+.f64 x #s(literal 1 binary64)))
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (*.f64 x #s(literal 1/2 binary64))) x) (+.f64 x #s(literal 1 binary64)))
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64)) (+.f64 x #s(literal 1 binary64)))
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) (+.f64 x #s(literal 1 binary64)))
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) (*.f64 x #s(literal 1/2 binary64))) (+.f64 x #s(literal 1 binary64)))
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64) (+.f64 x #s(literal 1 binary64)))
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) x) (+.f64 x #s(literal 1 binary64)))
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 x (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 x (sqrt.f64 #s(literal 1/2 binary64))) (+.f64 x #s(literal 1 binary64)))
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (*.f64 x #s(literal 1/2 binary64))) (+.f64 x #s(literal 1 binary64)))
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)))
(fma.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)) x) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 (cbrt.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)) x)) (cbrt.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)) x))) (cbrt.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)) x)) #s(literal 1 binary64))
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)) x)) (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)) x)) #s(literal 1 binary64))
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x #s(literal 1 binary64))
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 x #s(literal 1/2 binary64))) (+.f64 x #s(literal 1 binary64)))
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 x (sqrt.f64 (*.f64 x #s(literal 1/2 binary64)))) (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (+.f64 x #s(literal 1 binary64)))
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (+.f64 x #s(literal 1 binary64)))
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 x)) (sqrt.f64 x) (+.f64 x #s(literal 1 binary64)))
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))

eval71.0ms (1.6%)

Compiler

Compiled 3026 to 1700 computations (43.8% saved)

prune28.0ms (0.7%)

Pruning

8 alts after pruning (1 fresh and 7 done)

PrunedKeptTotal
New1691170
Fresh000
Picked044
Done033
Total1698177
Accuracy
100.0%
Counts
177 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
55.5%
(pow.f64 y y)
67.7%
(/.f64 (pow.f64 y y) (exp.f64 z))
12.6%
(+.f64 #s(literal 1 binary64) x)
63.1%
(*.f64 (pow.f64 y y) (+.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (+.f64 x #s(literal 1 binary64))))
46.8%
(*.f64 (pow.f64 y y) (+.f64 x #s(literal 1 binary64)))
67.9%
(*.f64 (pow.f64 y y) (exp.f64 x))
72.4%
(exp.f64 (-.f64 x z))
47.1%
(exp.f64 x)
Compiler

Compiled 68 to 48 computations (29.4% saved)

localize20.0ms (0.4%)

Compiler

Compiled 9 to 7 computations (22.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 2.0ms
Operation ival-add, time spent: 2.0ms, 88.0% of total-time
Operation const, time spent: 1.0ms, 44.0% of total-time

eval0.0ms (0%)

Compiler

Compiled 3 to 3 computations (0% saved)

prune6.0ms (0.1%)

Pruning

8 alts after pruning (0 fresh and 8 done)

PrunedKeptTotal
New000
Fresh000
Picked011
Done077
Total088
Accuracy
100.0%
Counts
8 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
55.5%
(pow.f64 y y)
67.7%
(/.f64 (pow.f64 y y) (exp.f64 z))
12.6%
(+.f64 #s(literal 1 binary64) x)
63.1%
(*.f64 (pow.f64 y y) (+.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (+.f64 x #s(literal 1 binary64))))
46.8%
(*.f64 (pow.f64 y y) (+.f64 x #s(literal 1 binary64)))
67.9%
(*.f64 (pow.f64 y y) (exp.f64 x))
72.4%
(exp.f64 (-.f64 x z))
47.1%
(exp.f64 x)
Compiler

Compiled 132 to 76 computations (42.4% saved)

regimes25.0ms (0.6%)

Counts
10 → 1
Calls
Call 1
Inputs
(+.f64 #s(literal 1 binary64) x)
(exp.f64 x)
(pow.f64 y y)
(exp.f64 (-.f64 x z))
(*.f64 (pow.f64 y y) (+.f64 x #s(literal 1 binary64)))
(*.f64 (pow.f64 y y) (+.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (+.f64 x #s(literal 1 binary64))))
(*.f64 (pow.f64 y y) (exp.f64 x))
(/.f64 (pow.f64 y y) (exp.f64 z))
(*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z)))
(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:

4.0ms
(-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)
4.0ms
x
4.0ms
(+.f64 x (*.f64 y (log.f64 y)))
4.0ms
(*.f64 y (log.f64 y))
4.0ms
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)

regimes32.0ms (0.7%)

Counts
9 → 5
Calls
Call 1
Inputs
(+.f64 #s(literal 1 binary64) x)
(exp.f64 x)
(pow.f64 y y)
(exp.f64 (-.f64 x z))
(*.f64 (pow.f64 y y) (+.f64 x #s(literal 1 binary64)))
(*.f64 (pow.f64 y y) (+.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (+.f64 x #s(literal 1 binary64))))
(*.f64 (pow.f64 y y) (exp.f64 x))
(/.f64 (pow.f64 y y) (exp.f64 z))
(*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z)))
Outputs
(*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z)))
(exp.f64 (-.f64 x z))
(pow.f64 y y)
(exp.f64 (-.f64 x z))
(pow.f64 y y)
Calls

3 calls:

11.0ms
z
11.0ms
y
9.0ms
x
Results
AccuracySegmentsBranch
86.4%4x
92.7%5y
88.3%5z
Compiler

Compiled 12 to 9 computations (25% saved)

regimes5.0ms (0.1%)

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

1 calls:

5.0ms
y
Results
AccuracySegmentsBranch
90.7%2y
Compiler

Compiled 4 to 3 computations (25% saved)

regimes12.0ms (0.3%)

Counts
3 → 2
Calls
Call 1
Inputs
(+.f64 #s(literal 1 binary64) x)
(exp.f64 x)
(pow.f64 y y)
Outputs
(exp.f64 x)
(pow.f64 y y)
Calls

3 calls:

5.0ms
z
4.0ms
x
3.0ms
y
Results
AccuracySegmentsBranch
76.6%5x
60.7%5z
76.6%2y
Compiler

Compiled 12 to 9 computations (25% saved)

regimes4.0ms (0.1%)

Counts
2 → 1
Calls
Call 1
Inputs
(+.f64 #s(literal 1 binary64) x)
(exp.f64 x)
Outputs
(exp.f64 x)
Calls

3 calls:

1.0ms
z
1.0ms
y
1.0ms
x
Results
AccuracySegmentsBranch
47.1%1z
47.1%1x
47.1%1y
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
(+.f64 #s(literal 1 binary64) x)
Outputs
(+.f64 #s(literal 1 binary64) x)
Calls

3 calls:

1.0ms
y
1.0ms
z
1.0ms
x
Results
AccuracySegmentsBranch
12.6%1x
12.6%1y
12.6%1z
Compiler

Compiled 12 to 9 computations (25% saved)

bsearch97.0ms (2.2%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
16.0ms
4.2432156254211055e+101
1.469323875366774e+103
46.0ms
8.008606868865324e+89
3.282915716222441e+91
20.0ms
6.324955566873671e+62
4.9311601511259255e+66
14.0ms
826595164.3201693
5638107448.648409
Results
41.0ms310×256infinite
47.0ms137×256valid
0.0ms256infinite
Compiler

Compiled 468 to 339 computations (27.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 20.0ms
Operation ival-log, time spent: 8.0ms, 39.0% of total-time
Operation ival-mult, time spent: 4.0ms, 20.0% of total-time
Operation ival-add, time spent: 3.0ms, 15.0% of total-time
Operation ival-exp, time spent: 3.0ms, 15.0% of total-time
Operation ival-sub, time spent: 2.0ms, 10.0% of total-time
Operation const, time spent: 0.0ms, 0.0% of total-time

bsearch21.0ms (0.5%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
20.0ms
6.324955566873671e+62
4.9311601511259255e+66
Results
14.0ms94×256infinite
4.0ms33×256valid
0.0ms256infinite
Compiler

Compiled 138 to 101 computations (26.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
Operation ival-sub, time spent: 2.0ms, 27.0% of total-time
Operation ival-log, time spent: 2.0ms, 27.0% of total-time
Operation ival-add, time spent: 1.0ms, 13.0% of total-time
Operation ival-exp, time spent: 1.0ms, 13.0% of total-time
Operation ival-mult, time spent: 1.0ms, 13.0% of total-time
Operation const, time spent: 0.0ms, 0.0% of total-time

bsearch16.0ms (0.4%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
16.0ms
16076.37448036645
226976.95329485898
Results
7.0ms54×256infinite
7.0ms41×256valid
0.0ms256infinite
Compiler

Compiled 96 to 73 computations (24% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
Operation ival-log, time spent: 2.0ms, 43.0% 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

simplify56.0ms (1.3%)

Algorithm
egg-herbie
Rules
+-commutative
not-or
if-if-or-not
sub-neg
1-exp
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
043269
160259
268259
373255
475255
576255
Stop Event
done
saturated
Calls
Call 1
Inputs
(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z))
(if (<=.f64 y #s(literal 2100000000 binary64)) (*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z))) (if (<=.f64 y #s(literal 749999999999999997721543790454511176679882994497435964381593600 binary64)) (exp.f64 (-.f64 x z)) (if (<=.f64 y #s(literal 2500000000000000198905812153201242857890565350417276289846609993371982688050440283535441920 binary64)) (pow.f64 y y) (if (<=.f64 y #s(literal 6500000000000000410310477185104660509709506844680420152858143482774139559697108428275632553229872529408 binary64)) (exp.f64 (-.f64 x z)) (pow.f64 y y)))))
(if (<=.f64 y #s(literal 8000000000000000462863679541815758619147029513400323505381179392 binary64)) (exp.f64 (-.f64 x z)) (pow.f64 y y))
(if (<=.f64 y #s(literal 22000 binary64)) (exp.f64 x) (pow.f64 y y))
(exp.f64 x)
(+.f64 #s(literal 1 binary64) x)
Outputs
(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z))
(if (<=.f64 y #s(literal 2100000000 binary64)) (*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z))) (if (<=.f64 y #s(literal 749999999999999997721543790454511176679882994497435964381593600 binary64)) (exp.f64 (-.f64 x z)) (if (<=.f64 y #s(literal 2500000000000000198905812153201242857890565350417276289846609993371982688050440283535441920 binary64)) (pow.f64 y y) (if (<=.f64 y #s(literal 6500000000000000410310477185104660509709506844680420152858143482774139559697108428275632553229872529408 binary64)) (exp.f64 (-.f64 x z)) (pow.f64 y y)))))
(if (<=.f64 y #s(literal 2100000000 binary64)) (*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z))) (if (<=.f64 y #s(literal 749999999999999997721543790454511176679882994497435964381593600 binary64)) (exp.f64 (-.f64 x z)) (if (or (<=.f64 y #s(literal 2500000000000000198905812153201242857890565350417276289846609993371982688050440283535441920 binary64)) (not (<=.f64 y #s(literal 6500000000000000410310477185104660509709506844680420152858143482774139559697108428275632553229872529408 binary64)))) (pow.f64 y y) (exp.f64 (-.f64 x z)))))
(if (<=.f64 y #s(literal 2100000000 binary64)) (*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z))) (if (or (<=.f64 y #s(literal 749999999999999997721543790454511176679882994497435964381593600 binary64)) (not (or (<=.f64 y #s(literal 2500000000000000198905812153201242857890565350417276289846609993371982688050440283535441920 binary64)) (not (<=.f64 y #s(literal 6500000000000000410310477185104660509709506844680420152858143482774139559697108428275632553229872529408 binary64)))))) (exp.f64 (-.f64 x z)) (pow.f64 y y)))
(if (<=.f64 y #s(literal 2100000000 binary64)) (*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z))) (if (or (<=.f64 y #s(literal 749999999999999997721543790454511176679882994497435964381593600 binary64)) (and (not (<=.f64 y #s(literal 2500000000000000198905812153201242857890565350417276289846609993371982688050440283535441920 binary64))) (<=.f64 y #s(literal 6500000000000000410310477185104660509709506844680420152858143482774139559697108428275632553229872529408 binary64)))) (exp.f64 (-.f64 x z)) (pow.f64 y y)))
(if (<=.f64 y #s(literal 8000000000000000462863679541815758619147029513400323505381179392 binary64)) (exp.f64 (-.f64 x z)) (pow.f64 y y))
(if (<=.f64 y #s(literal 22000 binary64)) (exp.f64 x) (pow.f64 y y))
(exp.f64 x)
(+.f64 #s(literal 1 binary64) x)
(+.f64 x #s(literal 1 binary64))
Compiler

Compiled 84 to 54 computations (35.7% saved)

soundness668.0ms (15.3%)

Rules
1576×fma-define
880×fmm-def
841×prod-exp
796×distribute-lft-in
687×distribute-rgt-in
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02815916
16915476
221085039
367905036
044473
1108421
2295421
3871405
41971405
53436405
65155405
76098405
86621405
96963405
107085405
117126405
127749405
137906405
01031583
12461549
26731519
320521493
461601493
Stop Event
node limit
node limit
node limit
Compiler

Compiled 99 to 41 computations (58.6% saved)

end0.0ms (0%)

preprocess131.0ms (3%)

Compiler

Compiled 186 to 100 computations (46.2% saved)

Profiling

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