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

Time bar (total: 3.0s)

analyze1.0ms (0%)

Algorithm
1×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
ival-sub: 0.0ms (0% of total)
ival-log: 0.0ms (0% of total)
ival-add: 0.0ms (0% of total)
ival-exp: 0.0ms (0% of total)
ival-mult: 0.0ms (0% of total)
const: 0.0ms (0% of total)

sample1.4s (47.8%)

Results
781.0ms8256×0valid
Precisions
Click to see histograms. Total time spent on operations: 518.0ms
ival-mult: 150.0ms (28.9% of total)
ival-log: 134.0ms (25.8% of total)
ival-sub: 97.0ms (18.7% of total)
ival-exp: 71.0ms (13.7% of total)
ival-add: 55.0ms (10.6% of total)
const: 8.0ms (1.5% of total)
backward-pass: 4.0ms (0.8% of total)
Bogosity

preprocess346.0ms (11.6%)

Algorithm
1×egg-herbie
Rules
1576×fma-define
886×fma-neg
436×exp-sum
365×div-sub
328×sub-neg
Iterations

Useful iterations: 3 (0.0ms)

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

explain96.0ms (3.2%)

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)
01(1.544279386784055e-277 3.151601042012644e-40 204.53778234993777)0-(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z))
00-0-(*.f64 y (log.f64 y))
Results
60.0ms512×256valid
Compiler

Compiled 84 to 26 computations (69% saved)

Precisions
Click to see histograms. Total time spent on operations: 30.0ms
ival-log: 16.0ms (52.5% of total)
ival-mult: 5.0ms (16.4% of total)
ival-exp: 4.0ms (13.1% of total)
ival-sub: 3.0ms (9.9% of total)
ival-add: 3.0ms (9.9% of total)
const: 0.0ms (0% of total)

eval1.0ms (0%)

Compiler

Compiled 44 to 20 computations (54.5% saved)

prune2.0ms (0.1%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
▶81.3%
(*.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)

localize62.0ms (2.1%)

Localize:

Found 2 expressions with local error:

NewAccuracyProgram
✓100.0%
(+.f64 x (*.f64 y (log.f64 y)))
✓99.6%
(*.f64 y (log.f64 y))
Results
36.0ms208×256valid
12.0ms48×256unsamplable
Compiler

Compiled 57 to 13 computations (77.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 29.0ms
ival-pow: 11.0ms (37.8% of total)
ival-log: 5.0ms (17.2% of total)
ival-sub: 4.0ms (13.7% of total)
ival-mult: 4.0ms (13.7% of total)
ival-exp: 3.0ms (10.3% of total)
ival-add: 1.0ms (3.4% of total)
const: 0.0ms (0% of total)

series117.0ms (3.9%)

Counts
2 → 26
Calls
Call 1
Inputs
#<alt (*.f64 y (log.f64 y))>
#<alt (+.f64 x (*.f64 y (log.f64 y)))>
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)))))>
Calls

9 calls:

TimeVariablePointExpression
81.0ms
y
@0
(* y (log y))
22.0ms
y
@-inf
(* y (log y))
9.0ms
y
@inf
(* y (log y))
3.0ms
x
@0
(+ x (* y (log y)))
0.0ms
x
@inf
(+ x (* y (log y)))

rewrite212.0ms (7.1%)

Algorithm
1×batch-egg-rewrite
Rules
791×prod-diff
549×log1p-expm1-u
549×expm1-log1p-u
501×unpow-prod-down
276×log-prod
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01143
111239
2149339
Stop Event
1×node limit
Counts
2 → 93
Calls
Call 1
Inputs
(*.f64 y (log.f64 y))
(+.f64 x (*.f64 y (log.f64 y)))
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 2 binary64)) #s(literal 1/2 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)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 y (log.f64 y)))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 y (log.f64 y)))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 y (log.f64 y)))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 y (log.f64 y))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 y (log.f64 y))) #s(literal 3 binary64)) #s(literal 1/3 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 (fma.f64 y (log.f64 y) x) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (fma.f64 y (log.f64 y) x))
(*.f64 (cbrt.f64 (fma.f64 y (log.f64 y) x)) (pow.f64 (cbrt.f64 (fma.f64 y (log.f64 y) x)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 y (log.f64 y) x)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 y (log.f64 y) x)))
(*.f64 (sqrt.f64 (fma.f64 y (log.f64 y) x)) (sqrt.f64 (fma.f64 y (log.f64 y) x)))
(*.f64 (+.f64 (pow.f64 (*.f64 y (log.f64 y)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y (log.f64 y)) (fma.f64 y (log.f64 y) (neg.f64 x)) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (+.f64 (pow.f64 (*.f64 y (log.f64 y)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y (log.f64 y)) (fma.f64 y (log.f64 y) (neg.f64 x)) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 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 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 y (log.f64 y)) #s(literal 2 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 y (log.f64 y)))) #s(literal 1 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (fma.f64 y (log.f64 y) x))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y (log.f64 y) x))) #s(literal 2 binary64)) #s(literal 3 binary64)) (cbrt.f64 (fma.f64 y (log.f64 y) x)))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 y (log.f64 y) x))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 y (log.f64 y) x))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 y (log.f64 y) x) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 y (log.f64 y) x) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (*.f64 (pow.f64 (fma.f64 y (log.f64 y) x) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (fma.f64 y (log.f64 y) x)) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (fma.f64 y (log.f64 y) x))))
(*.f64 (pow.f64 (*.f64 (pow.f64 (fma.f64 y (log.f64 y) x) #s(literal 2 binary64)) (sqrt.f64 (fma.f64 y (log.f64 y) x))) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (fma.f64 y (log.f64 y) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 y (log.f64 y)) (fma.f64 y (log.f64 y) (neg.f64 x)) (pow.f64 x #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 y (log.f64 y)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (*.f64 y (log.f64 y))) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 y (log.f64 y)) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 y (log.f64 y)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (*.f64 y (log.f64 y)) (fma.f64 y (log.f64 y) (neg.f64 x)) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (*.f64 y (log.f64 y)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 y (log.f64 y)) #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (*.f64 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)) (fma.f64 y (log.f64 y) (neg.f64 x)) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 y (log.f64 y)) #s(literal 2 binary64)))) (neg.f64 (-.f64 x (*.f64 y (log.f64 y)))))
(/.f64 (-.f64 (pow.f64 (*.f64 y (log.f64 y)) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (fma.f64 y (log.f64 y) (neg.f64 x)))
(pow.f64 (fma.f64 y (log.f64 y) x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 y (log.f64 y) x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 y (log.f64 y) x) #s(literal 2 binary64)) #s(literal 1/2 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))
(pow.f64 (/.f64 (fma.f64 (*.f64 y (log.f64 y)) (fma.f64 y (log.f64 y) (neg.f64 x)) (pow.f64 x #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 y (log.f64 y)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.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)))) #s(literal -1 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))))
(log.f64 (*.f64 (pow.f64 y y) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 y y) #s(literal 1 binary64))) (exp.f64 x)))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 y y) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(log.f64 (*.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 y y) #s(literal 1 binary64)))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (pow.f64 y y)))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 y y) #s(literal 1 binary64)))))
(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)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 y (log.f64 y) x))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (fma.f64 y (log.f64 y) x))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 y (log.f64 y) x))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 y (log.f64 y) x)) #s(literal 1 binary64)) #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)

simplify106.0ms (3.6%)

Algorithm
1×egg-herbie
Rules
647×distribute-lft-neg-in
508×fma-define
432×times-frac
274×div-sub
238×distribute-lft-in
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02495027
15504459
214534406
355113298
Stop Event
1×node limit
Counts
119 → 118
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)))))
(+.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 2 binary64)) #s(literal 1/2 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)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 y (log.f64 y)))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 y (log.f64 y)))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 y (log.f64 y)))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 y (log.f64 y))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 y (log.f64 y))) #s(literal 3 binary64)) #s(literal 1/3 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 (fma.f64 y (log.f64 y) x) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (fma.f64 y (log.f64 y) x))
(*.f64 (cbrt.f64 (fma.f64 y (log.f64 y) x)) (pow.f64 (cbrt.f64 (fma.f64 y (log.f64 y) x)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 y (log.f64 y) x)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 y (log.f64 y) x)))
(*.f64 (sqrt.f64 (fma.f64 y (log.f64 y) x)) (sqrt.f64 (fma.f64 y (log.f64 y) x)))
(*.f64 (+.f64 (pow.f64 (*.f64 y (log.f64 y)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y (log.f64 y)) (fma.f64 y (log.f64 y) (neg.f64 x)) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (+.f64 (pow.f64 (*.f64 y (log.f64 y)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y (log.f64 y)) (fma.f64 y (log.f64 y) (neg.f64 x)) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 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 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 y (log.f64 y)) #s(literal 2 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 y (log.f64 y)))) #s(literal 1 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (fma.f64 y (log.f64 y) x))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y (log.f64 y) x))) #s(literal 2 binary64)) #s(literal 3 binary64)) (cbrt.f64 (fma.f64 y (log.f64 y) x)))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 y (log.f64 y) x))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 y (log.f64 y) x))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 y (log.f64 y) x) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 y (log.f64 y) x) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (*.f64 (pow.f64 (fma.f64 y (log.f64 y) x) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (fma.f64 y (log.f64 y) x)) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (fma.f64 y (log.f64 y) x))))
(*.f64 (pow.f64 (*.f64 (pow.f64 (fma.f64 y (log.f64 y) x) #s(literal 2 binary64)) (sqrt.f64 (fma.f64 y (log.f64 y) x))) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (fma.f64 y (log.f64 y) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 y (log.f64 y)) (fma.f64 y (log.f64 y) (neg.f64 x)) (pow.f64 x #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 y (log.f64 y)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (*.f64 y (log.f64 y))) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 y (log.f64 y)) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 y (log.f64 y)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (*.f64 y (log.f64 y)) (fma.f64 y (log.f64 y) (neg.f64 x)) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (*.f64 y (log.f64 y)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 y (log.f64 y)) #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (*.f64 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)) (fma.f64 y (log.f64 y) (neg.f64 x)) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 y (log.f64 y)) #s(literal 2 binary64)))) (neg.f64 (-.f64 x (*.f64 y (log.f64 y)))))
(/.f64 (-.f64 (pow.f64 (*.f64 y (log.f64 y)) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (fma.f64 y (log.f64 y) (neg.f64 x)))
(pow.f64 (fma.f64 y (log.f64 y) x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 y (log.f64 y) x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 y (log.f64 y) x) #s(literal 2 binary64)) #s(literal 1/2 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))
(pow.f64 (/.f64 (fma.f64 (*.f64 y (log.f64 y)) (fma.f64 y (log.f64 y) (neg.f64 x)) (pow.f64 x #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 y (log.f64 y)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.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)))) #s(literal -1 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))))
(log.f64 (*.f64 (pow.f64 y y) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 y y) #s(literal 1 binary64))) (exp.f64 x)))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 y y) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(log.f64 (*.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 y y) #s(literal 1 binary64)))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (pow.f64 y y)))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 y y) #s(literal 1 binary64)))))
(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)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 y (log.f64 y) x))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (fma.f64 y (log.f64 y) x))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 y (log.f64 y) x))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 y (log.f64 y) x)) #s(literal 1 binary64)) #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)
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)))
(fma.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 y (/.f64 (log.f64 y) x))))
(*.f64 x (fma.f64 y (/.f64 (log.f64 y) x) #s(literal 1 binary64)))
(fma.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 y (/.f64 (log.f64 y) x))))
(*.f64 x (fma.f64 y (/.f64 (log.f64 y) x) #s(literal 1 binary64)))
(fma.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 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)))
(fma.f64 y (log.f64 y) 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)))
(fma.f64 y (log.f64 y) 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)))
(fma.f64 y (log.f64 y) x)
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 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)))
(fma.f64 y (log.f64 y) x)
(*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) y))) (/.f64 x y)))
(*.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)))
(fma.f64 y (log.f64 y) x)
(*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) y))) (/.f64 x y)))
(*.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)))
(fma.f64 y (log.f64 y) x)
(*.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 (fma.f64 #s(literal -1 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)))) (/.f64 (neg.f64 x) y))))
(*.f64 (-.f64 (/.f64 x (neg.f64 y)) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y)))) (neg.f64 y))
(*.f64 y (+.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) (/.f64 x y)))
(fma.f64 (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 #s(literal -1 binary64))) (neg.f64 y) x)
(*.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 (fma.f64 #s(literal -1 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)))) (/.f64 (neg.f64 x) y))))
(*.f64 (-.f64 (/.f64 x (neg.f64 y)) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y)))) (neg.f64 y))
(*.f64 y (+.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) (/.f64 x y)))
(fma.f64 (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 #s(literal -1 binary64))) (neg.f64 y) x)
(*.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 (fma.f64 #s(literal -1 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)))) (/.f64 (neg.f64 x) y))))
(*.f64 (-.f64 (/.f64 x (neg.f64 y)) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y)))) (neg.f64 y))
(*.f64 y (+.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) (/.f64 x y)))
(fma.f64 (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 #s(literal -1 binary64))) (neg.f64 y) x)
(+.f64 #s(literal 0 binary64) (*.f64 y (log.f64 y)))
(neg.f64 (*.f64 y (neg.f64 (log.f64 y))))
(*.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 #s(literal 2 binary64) (log.f64 (sqrt.f64 (pow.f64 y y))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (log.f64 y)))) #s(literal 1 binary64))
(neg.f64 (*.f64 y (neg.f64 (log.f64 y))))
(*.f64 y (log.f64 y))
(pow.f64 (*.f64 y (log.f64 y)) #s(literal 1 binary64))
(neg.f64 (*.f64 y (neg.f64 (log.f64 y))))
(*.f64 y (log.f64 y))
(pow.f64 (cbrt.f64 (*.f64 y (log.f64 y))) #s(literal 3 binary64))
(neg.f64 (*.f64 y (neg.f64 (log.f64 y))))
(*.f64 y (log.f64 y))
(pow.f64 (pow.f64 (*.f64 y (log.f64 y)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(neg.f64 (*.f64 y (neg.f64 (log.f64 y))))
(*.f64 y (log.f64 y))
(pow.f64 (pow.f64 (*.f64 y (log.f64 y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(neg.f64 (*.f64 y (neg.f64 (log.f64 y))))
(*.f64 y (log.f64 y))
(pow.f64 (sqrt.f64 (*.f64 y (log.f64 y))) #s(literal 2 binary64))
(neg.f64 (*.f64 y (neg.f64 (log.f64 y))))
(*.f64 y (log.f64 y))
(sqrt.f64 (pow.f64 (*.f64 y (log.f64 y)) #s(literal 2 binary64)))
(neg.f64 (*.f64 y (neg.f64 (log.f64 y))))
(*.f64 y (log.f64 y))
(log.f64 (pow.f64 y y))
(neg.f64 (*.f64 y (neg.f64 (log.f64 y))))
(*.f64 y (log.f64 y))
(log.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 y y) #s(literal 1 binary64))))
(neg.f64 (*.f64 y (neg.f64 (log.f64 y))))
(*.f64 y (log.f64 y))
(cbrt.f64 (pow.f64 (*.f64 y (log.f64 y)) #s(literal 3 binary64)))
(neg.f64 (*.f64 y (neg.f64 (log.f64 y))))
(*.f64 y (log.f64 y))
(expm1.f64 (log1p.f64 (*.f64 y (log.f64 y))))
(neg.f64 (*.f64 y (neg.f64 (log.f64 y))))
(*.f64 y (log.f64 y))
(log1p.f64 (-.f64 (pow.f64 y y) #s(literal 1 binary64)))
(neg.f64 (*.f64 y (neg.f64 (log.f64 y))))
(*.f64 y (log.f64 y))
(exp.f64 (log.f64 (*.f64 y (log.f64 y))))
(neg.f64 (*.f64 y (neg.f64 (log.f64 y))))
(*.f64 y (log.f64 y))
(exp.f64 (*.f64 (log.f64 (*.f64 y (log.f64 y))) #s(literal 1 binary64)))
(neg.f64 (*.f64 y (neg.f64 (log.f64 y))))
(*.f64 y (log.f64 y))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 y (log.f64 y)))) #s(literal 3 binary64)))
(neg.f64 (*.f64 y (neg.f64 (log.f64 y))))
(*.f64 y (log.f64 y))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 y (log.f64 y)))) #s(literal 1/3 binary64)))
(neg.f64 (*.f64 y (neg.f64 (log.f64 y))))
(*.f64 y (log.f64 y))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 y (log.f64 y)))) #s(literal 2 binary64)))
(neg.f64 (*.f64 y (neg.f64 (log.f64 y))))
(*.f64 y (log.f64 y))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 y (log.f64 y))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(neg.f64 (*.f64 y (neg.f64 (log.f64 y))))
(*.f64 y (log.f64 y))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 y (log.f64 y))) #s(literal 3 binary64)) #s(literal 1/3 binary64)))
(neg.f64 (*.f64 y (neg.f64 (log.f64 y))))
(*.f64 y (log.f64 y))
(-.f64 (exp.f64 (log1p.f64 (fma.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)))
(fma.f64 y (log.f64 y) x)
(-.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 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)))
(fma.f64 y (log.f64 y) x)
(*.f64 (fma.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)))
(fma.f64 y (log.f64 y) x)
(*.f64 (fma.f64 y (log.f64 y) x) (log.f64 (exp.f64 #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)))
(fma.f64 y (log.f64 y) x)
(*.f64 #s(literal 1 binary64) (fma.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)))
(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 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)))
(fma.f64 y (log.f64 y) x)
(*.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 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)))
(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 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)))
(fma.f64 y (log.f64 y) x)
(*.f64 (+.f64 (pow.f64 (*.f64 y (log.f64 y)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y (log.f64 y)) (fma.f64 y (log.f64 y) (neg.f64 x)) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 y (log.f64 y)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (*.f64 y (log.f64 y)) (fma.f64 y (log.f64 y) (neg.f64 x)) (pow.f64 x #s(literal 2 binary64))))
(*.f64 (+.f64 (pow.f64 (*.f64 y (log.f64 y)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y (log.f64 y)) (fma.f64 y (log.f64 y) (neg.f64 x)) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)))
(*.f64 (+.f64 (pow.f64 (*.f64 y (log.f64 y)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y (log.f64 y)) (fma.f64 y (log.f64 y) (neg.f64 x)) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 y (log.f64 y)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (*.f64 y (log.f64 y)) (fma.f64 y (log.f64 y) (neg.f64 x)) (pow.f64 x #s(literal 2 binary64))))
(*.f64 (-.f64 (pow.f64 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 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)))
(fma.f64 y (log.f64 y) x)
(*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 y (log.f64 y)) #s(literal 2 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 y (log.f64 y)))) #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)))
(fma.f64 y (log.f64 y) x)
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (fma.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)))
(fma.f64 y (log.f64 y) x)
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(*.f64 x (fma.f64 y (/.f64 (log.f64 y) x) #s(literal 1 binary64)))
(fma.f64 y (log.f64 y) x)
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (*.f64 y (log.f64 y)))
(*.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)))
(fma.f64 y (log.f64 y) x)
(fma.f64 (sqrt.f64 (log.f64 y)) (*.f64 (sqrt.f64 (log.f64 y)) 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)))
(fma.f64 y (log.f64 y) x)
(fma.f64 (sqrt.f64 (*.f64 y (log.f64 y))) (sqrt.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)))
(fma.f64 y (log.f64 y) x)
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.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)))
(fma.f64 y (log.f64 y) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 y (log.f64 y)))
(*.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)))
(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)
(*.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)))
(fma.f64 y (log.f64 y) x)
(fma.f64 (*.f64 y (sqrt.f64 (log.f64 y))) (sqrt.f64 (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)))
(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)
(*.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)))
(fma.f64 y (log.f64 y) x)
(fma.f64 (*.f64 (log.f64 y) (sqrt.f64 y)) (sqrt.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)))
(fma.f64 y (log.f64 y) x)

eval32.0ms (1.1%)

Compiler

Compiled 1862 to 852 computations (54.2% saved)

prune19.0ms (0.6%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1171118
Fresh000
Picked022
Done000
Total1173120
Accuracy
100.0%
Counts
120 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓81.3%
(*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z)))
✓100.0%
(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z))
▶75.5%
(exp.f64 (-.f64 x z))
Compiler

Compiled 30 to 20 computations (33.3% saved)

localize22.0ms (0.8%)

Results
15.0ms256×256valid
Compiler

Compiled 13 to 6 computations (53.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-sub: 2.0ms (49.1% of total)
ival-exp: 2.0ms (49.1% of total)
const: 0.0ms (0% of total)

eval0.0ms (0%)

Compiler

Compiled 3 to 3 computations (0% saved)

prune2.0ms (0.1%)

Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New000
Fresh000
Picked011
Done022
Total033
Accuracy
100.0%
Counts
3 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓81.3%
(*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z)))
✓100.0%
(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z))
✓75.5%
(exp.f64 (-.f64 x z))
Compiler

Compiled 54 to 32 computations (40.7% saved)

regimes12.0ms (0.4%)

Counts
3 → 1
Calls
Call 1
Inputs
(exp.f64 (-.f64 x 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:

2.0ms
(*.f64 y (log.f64 y))
2.0ms
(+.f64 x (*.f64 y (log.f64 y)))
2.0ms
(-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)
2.0ms
x
2.0ms
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)

regimes8.0ms (0.3%)

Counts
2 → 3
Calls
Call 1
Inputs
(exp.f64 (-.f64 x z))
(*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z)))
Outputs
(exp.f64 (-.f64 x z))
(*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z)))
(exp.f64 (-.f64 x z))
Calls

3 calls:

4.0ms
x
2.0ms
z
1.0ms
y
Results
AccuracySegmentsBranch
89.6%3x
81.3%1y
87.2%2z
Compiler

Compiled 12 to 9 computations (25% saved)

regimes2.0ms (0.1%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

3 calls:

0.0ms
y
0.0ms
z
0.0ms
x
Results
AccuracySegmentsBranch
75.5%1y
75.5%1z
75.5%1x
Compiler

Compiled 12 to 9 computations (25% saved)

bsearch26.0ms (0.9%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
12.0ms
1.1226641602905373e-10
1.160169340782685e-9
12.0ms
-4.383026611896552e-8
-1.0509123594643968e-9
Results
16.0ms208×0valid
Compiler

Compiled 278 to 195 computations (29.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-log: 3.0ms (33.3% of total)
ival-mult: 2.0ms (22.2% of total)
ival-sub: 1.0ms (11.1% of total)
ival-add: 1.0ms (11.1% of total)
ival-exp: 1.0ms (11.1% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

simplify4.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
4×+-commutative
3×sub-neg
3×*-commutative
2×if-if-or-not
1×neg-sub0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
028139
139139
245139
347139
448139
Stop Event
1×saturated
Calls
Call 1
Inputs
(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z))
(if (<=.f64 x #s(literal -812247035053579/18889465931478580854784 binary64)) (exp.f64 (-.f64 x z)) (if (<=.f64 x #s(literal 2780529385113647/2417851639229258349412352 binary64)) (*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z))) (exp.f64 (-.f64 x z))))
(exp.f64 (-.f64 x z))
Outputs
(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z))
(if (<=.f64 x #s(literal -812247035053579/18889465931478580854784 binary64)) (exp.f64 (-.f64 x z)) (if (<=.f64 x #s(literal 2780529385113647/2417851639229258349412352 binary64)) (*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z))) (exp.f64 (-.f64 x z))))
(if (or (<=.f64 x #s(literal -812247035053579/18889465931478580854784 binary64)) (not (<=.f64 x #s(literal 2780529385113647/2417851639229258349412352 binary64)))) (exp.f64 (-.f64 x z)) (*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y)))
(exp.f64 (-.f64 x z))

soundness438.0ms (14.7%)

Rules
1576×fma-define
886×fma-neg
436×exp-sum
365×div-sub
328×sub-neg
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
044473
1108421
2295421
3871405
41971405
53435405
65159405
76112405
86635405
96973405
107095405
117136405
127759405
137916405
Stop Event
1×done
1×node limit
Compiler

Compiled 95 to 41 computations (56.8% saved)

preprocess50.0ms (1.7%)

Compiler

Compiled 122 to 70 computations (42.6% saved)

end0.0ms (0%)

Profiling

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