Data.Colour.RGBSpace.HSV:hsv from colour-2.3.3, H

Time bar (total: 2.0s)

analyze0.0ms (0%)

Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
100%99.9%0%0.1%0%0%0%1
Compiler

Compiled 8 to 6 computations (25% saved)

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

sample1.0s (51%)

Results
653.0ms7208×0valid
69.0ms1048×0infinite
Precisions
Click to see histograms. Total time spent on operations: 198.0ms
ival-mult: 121.0ms (61% of total)
ival-sub: 62.0ms (31.2% of total)
const: 11.0ms (5.5% of total)
backward-pass: 4.0ms (2% of total)
Bogosity

preprocess65.0ms (3.2%)

Algorithm
egg-herbie
Rules
212×fma-define
86×fma-neg
52×distribute-lft-in
43×associate-*r*
41×unsub-neg
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
020149
150137
2116133
3360132
4670132
5932132
6939132
Stop Event
saturated
Calls
Call 1
Inputs
(*.f64 x (-.f64 #s(literal 1 binary64) y))
(*.f64 x (-.f64 #s(literal 1 binary64) y))
(*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) y))
(*.f64 x (-.f64 #s(literal 1 binary64) (neg.f64 y)))
(neg.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) y)))
(neg.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (neg.f64 y))))
(*.f64 y (-.f64 #s(literal 1 binary64) x))
Outputs
(*.f64 x (-.f64 #s(literal 1 binary64) y))
(*.f64 x (-.f64 #s(literal 1 binary64) y))
(*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) y))
(*.f64 x (+.f64 y #s(literal -1 binary64)))
(*.f64 x (-.f64 #s(literal 1 binary64) (neg.f64 y)))
(fma.f64 x y x)
(neg.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) y)))
(*.f64 x (-.f64 #s(literal 1 binary64) y))
(neg.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (neg.f64 y))))
(*.f64 x (-.f64 #s(literal -1 binary64) y))
(*.f64 y (-.f64 #s(literal 1 binary64) x))
Symmetry

(negabs x)

explain132.0ms (6.6%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-x
00-0-#s(literal 1 binary64)
00-0-(*.f64 x (-.f64 #s(literal 1 binary64) y))
00-0-y
00-0-(-.f64 #s(literal 1 binary64) y)
Results
38.0ms454×256valid
4.0ms58×256infinite
Compiler

Compiled 35 to 23 computations (34.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
ival-sub: 7.0ms (57% of total)
ival-mult: 4.0ms (32.6% of total)
const: 1.0ms (8.1% of total)

eval0.0ms (0%)

Compiler

Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(*.f64 x (-.f64 #s(literal 1 binary64) y))
Compiler

Compiled 7 to 5 computations (28.6% saved)

localize30.0ms (1.5%)

Localize:

Found 1 expressions with local error:

NewAccuracyProgram
100.0%
(*.f64 x (-.f64 #s(literal 1 binary64) y))
Results
19.0ms227×256valid
2.0ms29×256infinite
Compiler

Compiled 14 to 9 computations (35.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-sub: 4.0ms (61.3% of total)
ival-mult: 2.0ms (30.6% of total)
const: 1.0ms (15.3% of total)

series3.0ms (0.2%)

Counts
1 → 12
Calls
Call 1
Inputs
#<alt (*.f64 x (-.f64 #s(literal 1 binary64) y))>
Outputs
#<alt x>
#<alt (+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 x y)))>
#<alt (+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 x y)))>
#<alt (+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 x y)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 x y)))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 x y)))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 x y)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 x y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 x y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 x y)))))>
Calls

6 calls:

TimeVariablePointExpression
1.0ms
y
@-inf
(* x (- 1 y))
1.0ms
x
@0
(* x (- 1 y))
0.0ms
y
@inf
(* x (- 1 y))
0.0ms
x
@-inf
(* x (- 1 y))
0.0ms
x
@inf
(* x (- 1 y))

rewrite202.0ms (10%)

Algorithm
batch-egg-rewrite
Rules
452×log1p-expm1-u
452×expm1-log1p-u
433×add-exp-log
416×add-log-exp
386×pow1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01019
110319
2121319
Stop Event
node limit
Counts
1 → 65
Calls
Call 1
Inputs
(*.f64 x (-.f64 #s(literal 1 binary64) y))
Outputs
(+.f64 x (*.f64 x (neg.f64 y)))
(+.f64 x (*.f64 (neg.f64 y) x))
(+.f64 #s(literal 0 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) y)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (/.f64 (E.f64) (exp.f64 y)) x)) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (/.f64 (E.f64) (exp.f64 y)) x))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (/.f64 (E.f64) (exp.f64 y)) x))) (log.f64 (sqrt.f64 (pow.f64 (/.f64 (E.f64) (exp.f64 y)) x))))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64))
(*.f64 x (-.f64 #s(literal 1 binary64) y))
(*.f64 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) y)))
(*.f64 (-.f64 #s(literal 1 binary64) y) x)
(*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64))
(*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) (log.f64 (E.f64)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) y)) x))
(*.f64 (cbrt.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y))) (pow.f64 (cbrt.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y))))
(*.f64 (cbrt.f64 (pow.f64 x #s(literal 2 binary64))) (*.f64 (cbrt.f64 x) (-.f64 #s(literal 1 binary64) y)))
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) y)) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) y)) x))
(*.f64 (sqrt.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y))) (sqrt.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y))))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (-.f64 #s(literal 1 binary64) y)))
(*.f64 (*.f64 x (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64))) (cbrt.f64 (-.f64 #s(literal 1 binary64) y)))
(*.f64 (*.f64 x (sqrt.f64 (-.f64 #s(literal 1 binary64) y))) (sqrt.f64 (-.f64 #s(literal 1 binary64) y)))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (cbrt.f64 (pow.f64 x #s(literal 2 binary64)))) (cbrt.f64 x))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (*.f64 x (-.f64 #s(literal 1 binary64) y)))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)) x) #s(literal 1/3 binary64)) (cbrt.f64 (-.f64 #s(literal 1 binary64) y)))
(*.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) y)) #s(literal 1/3 binary64)) (cbrt.f64 x))
(*.f64 (pow.f64 (pow.f64 (*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) (cbrt.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)))))
(*.f64 (pow.f64 (pow.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)))))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) #s(literal 3 binary64)))) (cbrt.f64 (sqrt.f64 (pow.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) #s(literal 3 binary64)))))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)) x)) (cbrt.f64 (-.f64 #s(literal 1 binary64) y)))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) y))) (cbrt.f64 x))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) (cbrt.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)))) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) #s(literal 5/2 binary64))) (cbrt.f64 (sqrt.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)))))
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)))
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) y))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) x) (fma.f64 y (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) x) (+.f64 #s(literal 1 binary64) y))
(pow.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y))) #s(literal 2 binary64))
(pow.f64 (E.f64) (+.f64 (log1p.f64 (neg.f64 y)) (log.f64 x)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (+.f64 (log1p.f64 (neg.f64 y)) (log.f64 x))) #s(literal 2 binary64))) (cbrt.f64 (+.f64 (log1p.f64 (neg.f64 y)) (log.f64 x))))
(pow.f64 (exp.f64 (sqrt.f64 (+.f64 (log1p.f64 (neg.f64 y)) (log.f64 x)))) (sqrt.f64 (+.f64 (log1p.f64 (neg.f64 y)) (log.f64 x))))
(sqrt.f64 (pow.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (/.f64 (E.f64) (exp.f64 y)) x))
(cbrt.f64 (pow.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y))))
(log1p.f64 (expm1.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y))))
(exp.f64 (+.f64 (log1p.f64 (neg.f64 y)) (log.f64 x)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (+.f64 (log1p.f64 (neg.f64 y)) (log.f64 x))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)))) #s(literal 2 binary64)))
(fma.f64 x #s(literal 1 binary64) (*.f64 x (neg.f64 y)))
(fma.f64 x #s(literal 1 binary64) (*.f64 (neg.f64 y) x))
(fma.f64 #s(literal 1 binary64) x (*.f64 x (neg.f64 y)))
(fma.f64 #s(literal 1 binary64) x (*.f64 (neg.f64 y) x))
(fma.f64 (cbrt.f64 x) (cbrt.f64 (pow.f64 x #s(literal 2 binary64))) (*.f64 x (neg.f64 y)))
(fma.f64 (cbrt.f64 x) (cbrt.f64 (pow.f64 x #s(literal 2 binary64))) (*.f64 (neg.f64 y) x))
(fma.f64 (cbrt.f64 (pow.f64 x #s(literal 2 binary64))) (cbrt.f64 x) (*.f64 x (neg.f64 y)))
(fma.f64 (cbrt.f64 (pow.f64 x #s(literal 2 binary64))) (cbrt.f64 x) (*.f64 (neg.f64 y) x))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 x (neg.f64 y)))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (neg.f64 y) x))

simplify118.0ms (5.9%)

Algorithm
egg-herbie
Rules
681×unswap-sqr
553×associate-*r*
489×associate-*l*
381×exp-prod
312×fma-define
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
01762560
13452318
27962288
341162288
478912282
Stop Event
node limit
Counts
77 → 79
Calls
Call 1
Inputs
x
(+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 x y)))
(+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 x y)))
(+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 x y)))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 x y)))
(*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 x y)))
(*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 x y)))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 x y)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 x y)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 x y)))))
(+.f64 x (*.f64 x (neg.f64 y)))
(+.f64 x (*.f64 (neg.f64 y) x))
(+.f64 #s(literal 0 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) y)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (/.f64 (E.f64) (exp.f64 y)) x)) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (/.f64 (E.f64) (exp.f64 y)) x))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (/.f64 (E.f64) (exp.f64 y)) x))) (log.f64 (sqrt.f64 (pow.f64 (/.f64 (E.f64) (exp.f64 y)) x))))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64))
(*.f64 x (-.f64 #s(literal 1 binary64) y))
(*.f64 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) y)))
(*.f64 (-.f64 #s(literal 1 binary64) y) x)
(*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64))
(*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) (log.f64 (E.f64)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) y)) x))
(*.f64 (cbrt.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y))) (pow.f64 (cbrt.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y))))
(*.f64 (cbrt.f64 (pow.f64 x #s(literal 2 binary64))) (*.f64 (cbrt.f64 x) (-.f64 #s(literal 1 binary64) y)))
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) y)) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) y)) x))
(*.f64 (sqrt.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y))) (sqrt.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y))))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (-.f64 #s(literal 1 binary64) y)))
(*.f64 (*.f64 x (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64))) (cbrt.f64 (-.f64 #s(literal 1 binary64) y)))
(*.f64 (*.f64 x (sqrt.f64 (-.f64 #s(literal 1 binary64) y))) (sqrt.f64 (-.f64 #s(literal 1 binary64) y)))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (cbrt.f64 (pow.f64 x #s(literal 2 binary64)))) (cbrt.f64 x))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (*.f64 x (-.f64 #s(literal 1 binary64) y)))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)) x) #s(literal 1/3 binary64)) (cbrt.f64 (-.f64 #s(literal 1 binary64) y)))
(*.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) y)) #s(literal 1/3 binary64)) (cbrt.f64 x))
(*.f64 (pow.f64 (pow.f64 (*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) (cbrt.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)))))
(*.f64 (pow.f64 (pow.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)))))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) #s(literal 3 binary64)))) (cbrt.f64 (sqrt.f64 (pow.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) #s(literal 3 binary64)))))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)) x)) (cbrt.f64 (-.f64 #s(literal 1 binary64) y)))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) y))) (cbrt.f64 x))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) (cbrt.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)))) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) #s(literal 5/2 binary64))) (cbrt.f64 (sqrt.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)))))
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)))
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) y))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) x) (fma.f64 y (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) x) (+.f64 #s(literal 1 binary64) y))
(pow.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y))) #s(literal 2 binary64))
(pow.f64 (E.f64) (+.f64 (log1p.f64 (neg.f64 y)) (log.f64 x)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (+.f64 (log1p.f64 (neg.f64 y)) (log.f64 x))) #s(literal 2 binary64))) (cbrt.f64 (+.f64 (log1p.f64 (neg.f64 y)) (log.f64 x))))
(pow.f64 (exp.f64 (sqrt.f64 (+.f64 (log1p.f64 (neg.f64 y)) (log.f64 x)))) (sqrt.f64 (+.f64 (log1p.f64 (neg.f64 y)) (log.f64 x))))
(sqrt.f64 (pow.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (/.f64 (E.f64) (exp.f64 y)) x))
(cbrt.f64 (pow.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y))))
(log1p.f64 (expm1.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y))))
(exp.f64 (+.f64 (log1p.f64 (neg.f64 y)) (log.f64 x)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (+.f64 (log1p.f64 (neg.f64 y)) (log.f64 x))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)))) #s(literal 2 binary64)))
(fma.f64 x #s(literal 1 binary64) (*.f64 x (neg.f64 y)))
(fma.f64 x #s(literal 1 binary64) (*.f64 (neg.f64 y) x))
(fma.f64 #s(literal 1 binary64) x (*.f64 x (neg.f64 y)))
(fma.f64 #s(literal 1 binary64) x (*.f64 (neg.f64 y) x))
(fma.f64 (cbrt.f64 x) (cbrt.f64 (pow.f64 x #s(literal 2 binary64))) (*.f64 x (neg.f64 y)))
(fma.f64 (cbrt.f64 x) (cbrt.f64 (pow.f64 x #s(literal 2 binary64))) (*.f64 (neg.f64 y) x))
(fma.f64 (cbrt.f64 (pow.f64 x #s(literal 2 binary64))) (cbrt.f64 x) (*.f64 x (neg.f64 y)))
(fma.f64 (cbrt.f64 (pow.f64 x #s(literal 2 binary64))) (cbrt.f64 x) (*.f64 (neg.f64 y) x))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 x (neg.f64 y)))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (neg.f64 y) x))
Outputs
x
(+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 x y)))
(*.f64 x (-.f64 #s(literal 1 binary64) y))
(+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 x y)))
(*.f64 x (-.f64 #s(literal 1 binary64) y))
(+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 x y)))
(*.f64 x (-.f64 #s(literal 1 binary64) y))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 y (neg.f64 x))
(*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 x y)))
(*.f64 x (-.f64 #s(literal 1 binary64) y))
(*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 x y)))
(*.f64 x (-.f64 #s(literal 1 binary64) y))
(*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 x y)))
(*.f64 x (-.f64 #s(literal 1 binary64) y))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 y (neg.f64 x))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 x y)))))
(*.f64 x (-.f64 #s(literal 1 binary64) y))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 x y)))))
(*.f64 x (-.f64 #s(literal 1 binary64) y))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 x y)))))
(*.f64 x (-.f64 #s(literal 1 binary64) y))
(+.f64 x (*.f64 x (neg.f64 y)))
(*.f64 x (-.f64 #s(literal 1 binary64) y))
(+.f64 x (*.f64 (neg.f64 y) x))
(*.f64 x (-.f64 #s(literal 1 binary64) y))
(+.f64 #s(literal 0 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) y)))
(*.f64 x (-.f64 #s(literal 1 binary64) y))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (/.f64 (E.f64) (exp.f64 y)) x)) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (/.f64 (E.f64) (exp.f64 y)) x))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (/.f64 (E.f64) (exp.f64 y)) x))) (log.f64 (sqrt.f64 (pow.f64 (/.f64 (E.f64) (exp.f64 y)) x))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (pow.f64 (/.f64 (E.f64) (exp.f64 y)) x))))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64))
(*.f64 x (-.f64 #s(literal 1 binary64) y))
(*.f64 x (-.f64 #s(literal 1 binary64) y))
(*.f64 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) y)))
(*.f64 x (-.f64 #s(literal 1 binary64) y))
(*.f64 (-.f64 #s(literal 1 binary64) y) x)
(*.f64 x (-.f64 #s(literal 1 binary64) y))
(*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64))
(*.f64 x (-.f64 #s(literal 1 binary64) y))
(*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) (log.f64 (E.f64)))
(*.f64 x (-.f64 #s(literal 1 binary64) y))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) y)) x))
(*.f64 x (-.f64 #s(literal 1 binary64) y))
(*.f64 (cbrt.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y))) (pow.f64 (cbrt.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y))) #s(literal 2 binary64)))
(*.f64 x (-.f64 #s(literal 1 binary64) y))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y))))
(*.f64 x (-.f64 #s(literal 1 binary64) y))
(*.f64 (cbrt.f64 (pow.f64 x #s(literal 2 binary64))) (*.f64 (cbrt.f64 x) (-.f64 #s(literal 1 binary64) y)))
(*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 (cbrt.f64 (pow.f64 x #s(literal 2 binary64))) (cbrt.f64 x)))
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) y)) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) y)) x))
(*.f64 x (-.f64 #s(literal 1 binary64) y))
(*.f64 (sqrt.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y))) (sqrt.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y))))
(*.f64 x (-.f64 #s(literal 1 binary64) y))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (-.f64 #s(literal 1 binary64) y)))
(*.f64 x (-.f64 #s(literal 1 binary64) y))
(*.f64 (*.f64 x (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64))) (cbrt.f64 (-.f64 #s(literal 1 binary64) y)))
(*.f64 x (-.f64 #s(literal 1 binary64) y))
(*.f64 (*.f64 x (sqrt.f64 (-.f64 #s(literal 1 binary64) y))) (sqrt.f64 (-.f64 #s(literal 1 binary64) y)))
(*.f64 x (-.f64 #s(literal 1 binary64) y))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (cbrt.f64 (pow.f64 x #s(literal 2 binary64)))) (cbrt.f64 x))
(*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 (cbrt.f64 (pow.f64 x #s(literal 2 binary64))) (cbrt.f64 x)))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 x (-.f64 #s(literal 1 binary64) y))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (*.f64 x (-.f64 #s(literal 1 binary64) y)))
(*.f64 x (-.f64 #s(literal 1 binary64) y))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)))) #s(literal 3 binary64)))
(*.f64 x (-.f64 #s(literal 1 binary64) y))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) #s(literal 3 binary64)))) (cbrt.f64 (sqrt.f64 (pow.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) #s(literal 3 binary64)))))
(*.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)) x) #s(literal 1/3 binary64)) (cbrt.f64 (-.f64 #s(literal 1 binary64) y)))
(*.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) y)) (cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)))))
(*.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) y)) #s(literal 1/3 binary64)) (cbrt.f64 x))
(*.f64 (cbrt.f64 x) (cbrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 3 binary64)))))
(*.f64 (pow.f64 (pow.f64 (*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) (cbrt.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y))) #s(literal 8 binary64))) (cbrt.f64 (cbrt.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)))))
(*.f64 (pow.f64 (pow.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) #s(literal 5/2 binary64))) (cbrt.f64 (sqrt.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)))))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) #s(literal 3 binary64)))) (cbrt.f64 (sqrt.f64 (pow.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) #s(literal 3 binary64)))))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)) x)) (cbrt.f64 (-.f64 #s(literal 1 binary64) y)))
(*.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) y)) (cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)))))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) y))) (cbrt.f64 x))
(*.f64 (cbrt.f64 x) (cbrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 3 binary64)))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) (cbrt.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)))) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y))) #s(literal 8 binary64))) (cbrt.f64 (cbrt.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) #s(literal 5/2 binary64))) (cbrt.f64 (sqrt.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)))))
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 x (fma.f64 y (+.f64 y #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) y))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) (/.f64 x (+.f64 y #s(literal 1 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) x) (fma.f64 y (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 x (fma.f64 y (+.f64 y #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) x) (+.f64 #s(literal 1 binary64) y))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) (/.f64 x (+.f64 y #s(literal 1 binary64))))
(pow.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64))
(*.f64 x (-.f64 #s(literal 1 binary64) y))
(pow.f64 (cbrt.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y))) #s(literal 3 binary64))
(*.f64 x (-.f64 #s(literal 1 binary64) y))
(pow.f64 (pow.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(*.f64 x (-.f64 #s(literal 1 binary64) y))
(pow.f64 (pow.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 x (-.f64 #s(literal 1 binary64) y))
(pow.f64 (sqrt.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y))) #s(literal 2 binary64))
(*.f64 x (-.f64 #s(literal 1 binary64) y))
(pow.f64 (E.f64) (+.f64 (log1p.f64 (neg.f64 y)) (log.f64 x)))
(*.f64 x (-.f64 #s(literal 1 binary64) y))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (+.f64 (log1p.f64 (neg.f64 y)) (log.f64 x))) #s(literal 2 binary64))) (cbrt.f64 (+.f64 (log1p.f64 (neg.f64 y)) (log.f64 x))))
(pow.f64 (exp.f64 (sqrt.f64 (+.f64 (log1p.f64 (neg.f64 y)) (log.f64 x)))) (sqrt.f64 (+.f64 (log1p.f64 (neg.f64 y)) (log.f64 x))))
(sqrt.f64 (pow.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)))
(*.f64 x (-.f64 #s(literal 1 binary64) y))
(log.f64 (pow.f64 (/.f64 (E.f64) (exp.f64 y)) x))
(*.f64 x (-.f64 #s(literal 1 binary64) y))
(cbrt.f64 (pow.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) #s(literal 3 binary64)))
(*.f64 x (-.f64 #s(literal 1 binary64) y))
(expm1.f64 (log1p.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y))))
(*.f64 x (-.f64 #s(literal 1 binary64) y))
(log1p.f64 (expm1.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y))))
(*.f64 x (-.f64 #s(literal 1 binary64) y))
(exp.f64 (+.f64 (log1p.f64 (neg.f64 y)) (log.f64 x)))
(*.f64 x (-.f64 #s(literal 1 binary64) y))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)))) #s(literal 3 binary64)))
(*.f64 x (-.f64 #s(literal 1 binary64) y))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (+.f64 (log1p.f64 (neg.f64 y)) (log.f64 x))) #s(literal 1/3 binary64)))
(*.f64 x (-.f64 #s(literal 1 binary64) y))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)))) #s(literal 2 binary64)))
(*.f64 x (-.f64 #s(literal 1 binary64) y))
(fma.f64 x #s(literal 1 binary64) (*.f64 x (neg.f64 y)))
(*.f64 x (-.f64 #s(literal 1 binary64) y))
(fma.f64 x #s(literal 1 binary64) (*.f64 (neg.f64 y) x))
(*.f64 x (-.f64 #s(literal 1 binary64) y))
(fma.f64 #s(literal 1 binary64) x (*.f64 x (neg.f64 y)))
(*.f64 x (-.f64 #s(literal 1 binary64) y))
(fma.f64 #s(literal 1 binary64) x (*.f64 (neg.f64 y) x))
(*.f64 x (-.f64 #s(literal 1 binary64) y))
(fma.f64 (cbrt.f64 x) (cbrt.f64 (pow.f64 x #s(literal 2 binary64))) (*.f64 x (neg.f64 y)))
(fma.f64 (cbrt.f64 (pow.f64 x #s(literal 2 binary64))) (cbrt.f64 x) (*.f64 y (neg.f64 x)))
(fma.f64 (cbrt.f64 x) (cbrt.f64 (pow.f64 x #s(literal 2 binary64))) (*.f64 (neg.f64 y) x))
(fma.f64 (cbrt.f64 (pow.f64 x #s(literal 2 binary64))) (cbrt.f64 x) (*.f64 y (neg.f64 x)))
(fma.f64 (cbrt.f64 (pow.f64 x #s(literal 2 binary64))) (cbrt.f64 x) (*.f64 x (neg.f64 y)))
(fma.f64 (cbrt.f64 (pow.f64 x #s(literal 2 binary64))) (cbrt.f64 x) (*.f64 y (neg.f64 x)))
(fma.f64 (cbrt.f64 (pow.f64 x #s(literal 2 binary64))) (cbrt.f64 x) (*.f64 (neg.f64 y) x))
(fma.f64 (cbrt.f64 (pow.f64 x #s(literal 2 binary64))) (cbrt.f64 x) (*.f64 y (neg.f64 x)))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 x (neg.f64 y)))
(*.f64 x (-.f64 #s(literal 1 binary64) y))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (neg.f64 y) x))
(*.f64 x (-.f64 #s(literal 1 binary64) y))

eval19.0ms (0.9%)

Compiler

Compiled 876 to 536 computations (38.8% saved)

prune15.0ms (0.7%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New76379
Fresh000
Picked011
Done000
Total76480
Accuracy
100.0%
Counts
80 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(+.f64 x (*.f64 (neg.f64 y) x))
50.8%
(*.f64 y (neg.f64 x))
100.0%
(*.f64 x (-.f64 #s(literal 1 binary64) y))
51.2%
x
Compiler

Compiled 24 to 16 computations (33.3% saved)

localize37.0ms (1.8%)

Results
28.0ms256×256valid
Compiler

Compiled 26 to 8 computations (69.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-mult: 4.0ms (42.5% of total)
ival-neg: 3.0ms (31.9% of total)
ival-add: 1.0ms (10.6% of total)
const: 0.0ms (0% of total)

eval0.0ms (0%)

Compiler

Compiled 2 to 2 computations (0% saved)

prune2.0ms (0.1%)

Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New000
Fresh000
Picked033
Done011
Total044
Accuracy
100.0%
Counts
4 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(+.f64 x (*.f64 (neg.f64 y) x))
50.8%
(*.f64 y (neg.f64 x))
100.0%
(*.f64 x (-.f64 #s(literal 1 binary64) y))
51.2%
x
Compiler

Compiled 42 to 26 computations (38.1% saved)

regimes9.0ms (0.5%)

Counts
4 → 1
Calls
Call 1
Inputs
x
(*.f64 y (neg.f64 x))
(*.f64 x (-.f64 #s(literal 1 binary64) y))
(+.f64 x (*.f64 (neg.f64 y) x))
Outputs
(+.f64 x (*.f64 (neg.f64 y) x))
Calls

4 calls:

3.0ms
(-.f64 #s(literal 1 binary64) y)
2.0ms
x
2.0ms
(*.f64 x (-.f64 #s(literal 1 binary64) y))
2.0ms
y
Results
AccuracySegmentsBranch
100.0%1x
100.0%1y
100.0%1(*.f64 x (-.f64 #s(literal 1 binary64) y))
100.0%1(-.f64 #s(literal 1 binary64) y)
Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes9.0ms (0.4%)

Counts
3 → 1
Calls
Call 1
Inputs
x
(*.f64 y (neg.f64 x))
(*.f64 x (-.f64 #s(literal 1 binary64) y))
Outputs
(*.f64 x (-.f64 #s(literal 1 binary64) y))
Calls

4 calls:

4.0ms
(-.f64 #s(literal 1 binary64) y)
2.0ms
x
2.0ms
(*.f64 x (-.f64 #s(literal 1 binary64) y))
2.0ms
y
Results
AccuracySegmentsBranch
100.0%1x
100.0%1y
100.0%1(*.f64 x (-.f64 #s(literal 1 binary64) y))
100.0%1(-.f64 #s(literal 1 binary64) y)
Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes8.0ms (0.4%)

Counts
2 → 3
Calls
Call 1
Inputs
x
(*.f64 y (neg.f64 x))
Outputs
(*.f64 y (neg.f64 x))
x
(*.f64 y (neg.f64 x))
Calls

2 calls:

4.0ms
x
4.0ms
y
Results
AccuracySegmentsBranch
65.3%6x
98.2%3y
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes1.0ms (0.1%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

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

2 calls:

0.0ms
y
0.0ms
x
Results
AccuracySegmentsBranch
51.2%1x
51.2%1y
Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch33.0ms (1.6%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
17.0ms
6.655565714829733e-8
243.02811610941674
14.0ms
-55468.92421252194
-0.0010157481114823508
Results
21.0ms288×0valid
Compiler

Compiled 210 to 153 computations (27.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-sub: 2.0ms (43.3% of total)
ival-mult: 2.0ms (43.3% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

simplify3.0ms (0.2%)

Algorithm
egg-herbie
Rules
*-commutative
+-commutative
sub-neg
1-exp
neg-sub0
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
024101
14697
25697
36097
46197
Stop Event
saturated
Calls
Call 1
Inputs
(+.f64 x (*.f64 (neg.f64 y) x))
(*.f64 x (-.f64 #s(literal 1 binary64) y))
(if (<=.f64 y #s(literal -1 binary64)) (*.f64 y (neg.f64 x)) (if (<=.f64 y #s(literal 1 binary64)) x (*.f64 y (neg.f64 x))))
x
Outputs
(+.f64 x (*.f64 (neg.f64 y) x))
(-.f64 x (*.f64 x y))
(*.f64 x (-.f64 #s(literal 1 binary64) y))
(if (<=.f64 y #s(literal -1 binary64)) (*.f64 y (neg.f64 x)) (if (<=.f64 y #s(literal 1 binary64)) x (*.f64 y (neg.f64 x))))
(if (or (<=.f64 y #s(literal -1 binary64)) (not (<=.f64 y #s(literal 1 binary64)))) (*.f64 x (neg.f64 y)) x)
x

soundness263.0ms (13.1%)

Rules
681×unswap-sqr
553×associate-*r*
489×associate-*l*
452×log1p-expm1-u
452×expm1-log1p-u
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01019
110319
2121319
01762560
13452318
27962288
341162288
478912282
Stop Event
done
node limit
node limit
Compiler

Compiled 75 to 43 computations (42.7% saved)

preprocess36.0ms (1.8%)

Remove

(negabs x)

Compiler

Compiled 124 to 74 computations (40.3% saved)

end0.0ms (0%)

Profiling

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