Data.Colour.SRGB:transferFunction from colour-2.3.3

Time bar (total: 2.3s)

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 10 to 7 computations (30% saved)

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

sample780.0ms (34.1%)

Results
570.0ms8255×0valid
0.0ms2valid
Precisions
Click to see histograms. Total time spent on operations: 362.0ms
ival-sub: 215.0ms (59.4% of total)
ival-mult: 75.0ms (20.7% of total)
ival-add: 57.0ms (15.8% of total)
const: 11.0ms (3% of total)
backward-pass: 3.0ms (0.8% of total)
Bogosity

preprocess181.0ms (7.9%)

Algorithm
egg-herbie
Rules
636×fma-neg
631×fma-define
124×distribute-rgt-in
116×unsub-neg
73×distribute-lft-in
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
024228
156204
2152185
3693182
41591176
52456176
62748176
72798176
Stop Event
saturated
Calls
Call 1
Inputs
(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x)
(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x)
(-.f64 (*.f64 (+.f64 (neg.f64 x) #s(literal 1 binary64)) y) (neg.f64 x))
(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (neg.f64 y)) x)
(neg.f64 (-.f64 (*.f64 (+.f64 (neg.f64 x) #s(literal 1 binary64)) y) (neg.f64 x)))
(neg.f64 (-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (neg.f64 y)) x))
(-.f64 (*.f64 (+.f64 y #s(literal 1 binary64)) x) y)
Outputs
(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x)
(fma.f64 (+.f64 x #s(literal 1 binary64)) y (neg.f64 x))
(-.f64 (fma.f64 x y y) x)
(fma.f64 x (+.f64 y #s(literal -1 binary64)) y)
(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x)
(fma.f64 (+.f64 x #s(literal 1 binary64)) y (neg.f64 x))
(-.f64 (fma.f64 x y y) x)
(fma.f64 x (+.f64 y #s(literal -1 binary64)) y)
(-.f64 (*.f64 (+.f64 (neg.f64 x) #s(literal 1 binary64)) y) (neg.f64 x))
(-.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (neg.f64 x))) (neg.f64 x))
(fma.f64 y (-.f64 #s(literal 1 binary64) x) x)
(fma.f64 x (-.f64 #s(literal 1 binary64) y) y)
(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (neg.f64 y)) x)
(neg.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) y x))
(-.f64 (*.f64 y (-.f64 #s(literal -1 binary64) x)) x)
(neg.f64 (-.f64 (*.f64 (+.f64 (neg.f64 x) #s(literal 1 binary64)) y) (neg.f64 x)))
(neg.f64 (-.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (neg.f64 x))) (neg.f64 x)))
(neg.f64 (fma.f64 y (-.f64 #s(literal 1 binary64) x) x))
(-.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) y)
(neg.f64 (-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (neg.f64 y)) x))
(fma.f64 (+.f64 x #s(literal 1 binary64)) y x)
(-.f64 (*.f64 (+.f64 y #s(literal 1 binary64)) x) y)
(-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) y)) y)
(-.f64 (fma.f64 x y x) y)
(fma.f64 y (+.f64 x #s(literal -1 binary64)) x)

explain142.0ms (6.2%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-x
00-0-(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x)
00-0-#s(literal 1 binary64)
00-0-y
00-0-(*.f64 (+.f64 x #s(literal 1 binary64)) y)
00-0-(+.f64 x #s(literal 1 binary64))
Results
116.0ms512×256valid
Compiler

Compiled 51 to 32 computations (37.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 22.0ms
ival-add: 9.0ms (41.7% of total)
ival-mult: 8.0ms (37% of total)
ival-sub: 3.0ms (13.9% of total)
const: 1.0ms (4.6% of total)

eval1.0ms (0%)

Compiler

Compiled 21 to 11 computations (47.6% saved)

prune1.0ms (0.1%)

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

Compiled 17 to 11 computations (35.3% saved)

localize54.0ms (2.4%)

Localize:

Found 2 expressions with local error:

NewAccuracyProgram
100.0%
(fma.f64 x (+.f64 y #s(literal -1 binary64)) y)
100.0%
(*.f64 (+.f64 x #s(literal 1 binary64)) y)
Results
38.0ms256×256valid
Compiler

Compiled 33 to 19 computations (42.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 28.0ms
ival-add: 15.0ms (53.2% of total)
ival-mult: 6.0ms (21.3% of total)
<compiled-spec>: 4.0ms (14.2% of total)
ival-sub: 1.0ms (3.5% of total)
const: 1.0ms (3.5% of total)

series6.0ms (0.3%)

Counts
2 → 48
Calls
Call 1
Inputs
#<alt (*.f64 (+.f64 x #s(literal 1 binary64)) y)>
#<alt (fma.f64 x (+.f64 y #s(literal -1 binary64)) y)>
Outputs
#<alt y>
#<alt (+.f64 y (*.f64 x y))>
#<alt (+.f64 y (*.f64 x y))>
#<alt (+.f64 y (*.f64 x y))>
#<alt (*.f64 x y)>
#<alt (*.f64 x (+.f64 y (/.f64 y x)))>
#<alt (*.f64 x (+.f64 y (/.f64 y x)))>
#<alt (*.f64 x (+.f64 y (/.f64 y x)))>
#<alt (*.f64 x y)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 y x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 y x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 y x)))))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) x))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) x))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) x))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) x))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) x))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) x))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) x))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) x))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) x))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) x))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) x))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) x))>
#<alt y>
#<alt (+.f64 y (*.f64 x (-.f64 y #s(literal 1 binary64))))>
#<alt (+.f64 y (*.f64 x (-.f64 y #s(literal 1 binary64))))>
#<alt (+.f64 y (*.f64 x (-.f64 y #s(literal 1 binary64))))>
#<alt (*.f64 x (-.f64 y #s(literal 1 binary64)))>
#<alt (*.f64 x (-.f64 (+.f64 y (/.f64 y x)) #s(literal 1 binary64)))>
#<alt (*.f64 x (-.f64 (+.f64 y (/.f64 y x)) #s(literal 1 binary64)))>
#<alt (*.f64 x (-.f64 (+.f64 y (/.f64 y x)) #s(literal 1 binary64)))>
#<alt (*.f64 x (-.f64 y #s(literal 1 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (-.f64 y #s(literal 1 binary64))) (*.f64 #s(literal -1 binary64) (/.f64 y x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (-.f64 y #s(literal 1 binary64))) (*.f64 #s(literal -1 binary64) (/.f64 y x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (-.f64 y #s(literal 1 binary64))) (*.f64 #s(literal -1 binary64) (/.f64 y x)))))>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) x)))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) x)))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) x))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 x y)))))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 x y)))))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 x y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) x) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 x y)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 x y)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 x y)) #s(literal 1 binary64))))>
Calls

12 calls:

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

rewrite225.0ms (9.8%)

Algorithm
batch-egg-rewrite
Rules
750×log1p-expm1-u
750×expm1-log1p-u
596×unpow-prod-down
349×log-prod
208×prod-diff
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01443
115643
2200542
Stop Event
node limit
Counts
2 → 86
Calls
Call 1
Inputs
(*.f64 (+.f64 x #s(literal 1 binary64)) y)
(fma.f64 x (+.f64 y #s(literal -1 binary64)) y)
Outputs
(+.f64 y (*.f64 x y))
(+.f64 y (*.f64 y x))
(+.f64 #s(literal 0 binary64) (fma.f64 x y y))
(+.f64 (*.f64 x y) y)
(+.f64 (*.f64 y x) y)
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (fma.f64 x y y))) (cbrt.f64 (exp.f64 (fma.f64 x y y))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 x y y)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x y y)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x y y)))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x y y))) #s(literal 1 binary64))
(/.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))
(/.f64 (*.f64 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))) y) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))
(/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) y) (+.f64 x #s(literal -1 binary64)))
(pow.f64 (fma.f64 x y y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 x y y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 x y y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 x y y)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 x y y) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 x y y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x y y))))
(cbrt.f64 (pow.f64 (fma.f64 x y y) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 x y y)))
(log1p.f64 (expm1.f64 (fma.f64 x y y)))
(exp.f64 (+.f64 (log1p.f64 x) (log.f64 y)))
(exp.f64 (*.f64 (+.f64 (log1p.f64 x) (log.f64 y)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 x y y))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (+.f64 (log1p.f64 x) (log.f64 y))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x y y))) #s(literal 2 binary64)))
(fma.f64 x y y)
(fma.f64 #s(literal 1 binary64) y (*.f64 x y))
(fma.f64 #s(literal 1 binary64) y (*.f64 y x))
(fma.f64 y x y)
(fma.f64 y #s(literal 1 binary64) (*.f64 x y))
(fma.f64 y #s(literal 1 binary64) (*.f64 y x))
(fma.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 x y))
(fma.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 y x))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 y) (*.f64 x y))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 y) (*.f64 y x))
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) (*.f64 x y))
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) (*.f64 y x))
(+.f64 y (*.f64 x (+.f64 y #s(literal -1 binary64))))
(+.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) y)
(+.f64 #s(literal 0 binary64) (fma.f64 x (+.f64 y #s(literal -1 binary64)) y))
(+.f64 (*.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) #s(literal 1 binary64)) y)
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) y))) (cbrt.f64 (exp.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) y))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) y)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) y)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) y)))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) y))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 y #s(literal -1 binary64)) y))
(*.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) y) #s(literal 1 binary64))
(*.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) y) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 (cbrt.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) y)) (pow.f64 (cbrt.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) y)) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) y)) (pow.f64 (pow.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) y) #s(literal 2 binary64)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) y)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) y)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) y)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) y))) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) y)) (sqrt.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) y)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) y)) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) y))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) y))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) y))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) y))) (cbrt.f64 (cbrt.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) y)))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) y))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) y))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) y))) #s(literal 3 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (fma.f64 x (+.f64 y #s(literal -1 binary64)) y))
(*.f64 (pow.f64 (pow.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) y) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) y)))
(*.f64 (pow.f64 (*.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) y) (sqrt.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) y))) #s(literal 1/3 binary64)) (pow.f64 (*.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) y) (sqrt.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) y))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) y) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) y) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (*.f64 (pow.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) y) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) y)) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (pow.f64 (cbrt.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) y)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (*.f64 (pow.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) y) #s(literal 2 binary64)) (sqrt.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) y))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) y)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) y)) #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) y))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) y))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) y))) #s(literal 2 binary64)))
(/.f64 (+.f64 (pow.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) (*.f64 x (+.f64 y #s(literal -1 binary64))) (-.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) y))))
(/.f64 (fma.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) (*.f64 x (+.f64 y #s(literal -1 binary64))) (neg.f64 (pow.f64 y #s(literal 2 binary64)))) (-.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) y))
(pow.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) y)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) y) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) y))))
(log.f64 (*.f64 (exp.f64 y) (exp.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 y)) (exp.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))))))
(log.f64 (*.f64 (exp.f64 (*.f64 x (+.f64 y #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (expm1.f64 y))))
(cbrt.f64 (pow.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) y) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) y)))
(log1p.f64 (expm1.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) y)))
(exp.f64 (log.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) y)))
(exp.f64 (*.f64 (log.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) y)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) y))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) y) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) y))) #s(literal 2 binary64)))

simplify103.0ms (4.5%)

Algorithm
egg-herbie
Rules
579×fma-define
538×prod-exp
490×fma-neg
462×distribute-lft-in
427×times-frac
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02493673
15323643
214813603
354563570
Stop Event
node limit
Counts
134 → 130
Calls
Call 1
Inputs
y
(+.f64 y (*.f64 x y))
(+.f64 y (*.f64 x y))
(+.f64 y (*.f64 x y))
(*.f64 x y)
(*.f64 x (+.f64 y (/.f64 y x)))
(*.f64 x (+.f64 y (/.f64 y x)))
(*.f64 x (+.f64 y (/.f64 y x)))
(*.f64 x y)
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 y x)))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 y x)))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 y x)))))
(*.f64 y (+.f64 #s(literal 1 binary64) x))
(*.f64 y (+.f64 #s(literal 1 binary64) x))
(*.f64 y (+.f64 #s(literal 1 binary64) x))
(*.f64 y (+.f64 #s(literal 1 binary64) x))
(*.f64 y (+.f64 #s(literal 1 binary64) x))
(*.f64 y (+.f64 #s(literal 1 binary64) x))
(*.f64 y (+.f64 #s(literal 1 binary64) x))
(*.f64 y (+.f64 #s(literal 1 binary64) x))
(*.f64 y (+.f64 #s(literal 1 binary64) x))
(*.f64 y (+.f64 #s(literal 1 binary64) x))
(*.f64 y (+.f64 #s(literal 1 binary64) x))
(*.f64 y (+.f64 #s(literal 1 binary64) x))
y
(+.f64 y (*.f64 x (-.f64 y #s(literal 1 binary64))))
(+.f64 y (*.f64 x (-.f64 y #s(literal 1 binary64))))
(+.f64 y (*.f64 x (-.f64 y #s(literal 1 binary64))))
(*.f64 x (-.f64 y #s(literal 1 binary64)))
(*.f64 x (-.f64 (+.f64 y (/.f64 y x)) #s(literal 1 binary64)))
(*.f64 x (-.f64 (+.f64 y (/.f64 y x)) #s(literal 1 binary64)))
(*.f64 x (-.f64 (+.f64 y (/.f64 y x)) #s(literal 1 binary64)))
(*.f64 x (-.f64 y #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (-.f64 y #s(literal 1 binary64))) (*.f64 #s(literal -1 binary64) (/.f64 y x)))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (-.f64 y #s(literal 1 binary64))) (*.f64 #s(literal -1 binary64) (/.f64 y x)))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (-.f64 y #s(literal 1 binary64))) (*.f64 #s(literal -1 binary64) (/.f64 y x)))))
(*.f64 #s(literal -1 binary64) x)
(+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) x)))
(+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) x)))
(+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) x)))
(*.f64 y (+.f64 #s(literal 1 binary64) x))
(*.f64 y (+.f64 #s(literal 1 binary64) (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 x y)))))
(*.f64 y (+.f64 #s(literal 1 binary64) (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 x y)))))
(*.f64 y (+.f64 #s(literal 1 binary64) (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 x y)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) x) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 x y)) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 x y)) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 x y)) #s(literal 1 binary64))))
(+.f64 y (*.f64 x y))
(+.f64 y (*.f64 y x))
(+.f64 #s(literal 0 binary64) (fma.f64 x y y))
(+.f64 (*.f64 x y) y)
(+.f64 (*.f64 y x) y)
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (fma.f64 x y y))) (cbrt.f64 (exp.f64 (fma.f64 x y y))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 x y y)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x y y)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x y y)))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x y y))) #s(literal 1 binary64))
(/.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))
(/.f64 (*.f64 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))) y) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))
(/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) y) (+.f64 x #s(literal -1 binary64)))
(pow.f64 (fma.f64 x y y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 x y y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 x y y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 x y y)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 x y y) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 x y y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x y y))))
(cbrt.f64 (pow.f64 (fma.f64 x y y) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 x y y)))
(log1p.f64 (expm1.f64 (fma.f64 x y y)))
(exp.f64 (+.f64 (log1p.f64 x) (log.f64 y)))
(exp.f64 (*.f64 (+.f64 (log1p.f64 x) (log.f64 y)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 x y y))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (+.f64 (log1p.f64 x) (log.f64 y))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x y y))) #s(literal 2 binary64)))
(fma.f64 x y y)
(fma.f64 #s(literal 1 binary64) y (*.f64 x y))
(fma.f64 #s(literal 1 binary64) y (*.f64 y x))
(fma.f64 y x y)
(fma.f64 y #s(literal 1 binary64) (*.f64 x y))
(fma.f64 y #s(literal 1 binary64) (*.f64 y x))
(fma.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 x y))
(fma.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 y x))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 y) (*.f64 x y))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 y) (*.f64 y x))
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) (*.f64 x y))
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) (*.f64 y x))
(+.f64 y (*.f64 x (+.f64 y #s(literal -1 binary64))))
(+.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) y)
(+.f64 #s(literal 0 binary64) (fma.f64 x (+.f64 y #s(literal -1 binary64)) y))
(+.f64 (*.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) #s(literal 1 binary64)) y)
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) y))) (cbrt.f64 (exp.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) y))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) y)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) y)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) y)))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) y))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 y #s(literal -1 binary64)) y))
(*.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) y) #s(literal 1 binary64))
(*.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) y) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 (cbrt.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) y)) (pow.f64 (cbrt.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) y)) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) y)) (pow.f64 (pow.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) y) #s(literal 2 binary64)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) y)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) y)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) y)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) y))) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) y)) (sqrt.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) y)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) y)) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) y))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) y))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) y))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) y))) (cbrt.f64 (cbrt.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) y)))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) y))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) y))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) y))) #s(literal 3 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (fma.f64 x (+.f64 y #s(literal -1 binary64)) y))
(*.f64 (pow.f64 (pow.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) y) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) y)))
(*.f64 (pow.f64 (*.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) y) (sqrt.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) y))) #s(literal 1/3 binary64)) (pow.f64 (*.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) y) (sqrt.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) y))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) y) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) y) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (*.f64 (pow.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) y) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) y)) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (pow.f64 (cbrt.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) y)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (*.f64 (pow.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) y) #s(literal 2 binary64)) (sqrt.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) y))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) y)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) y)) #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) y))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) y))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) y))) #s(literal 2 binary64)))
(/.f64 (+.f64 (pow.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) (*.f64 x (+.f64 y #s(literal -1 binary64))) (-.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) y))))
(/.f64 (fma.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) (*.f64 x (+.f64 y #s(literal -1 binary64))) (neg.f64 (pow.f64 y #s(literal 2 binary64)))) (-.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) y))
(pow.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) y)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) y) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) y))))
(log.f64 (*.f64 (exp.f64 y) (exp.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 y)) (exp.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))))))
(log.f64 (*.f64 (exp.f64 (*.f64 x (+.f64 y #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (expm1.f64 y))))
(cbrt.f64 (pow.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) y) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) y)))
(log1p.f64 (expm1.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) y)))
(exp.f64 (log.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) y)))
(exp.f64 (*.f64 (log.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) y)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) y))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) y) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) y))) #s(literal 2 binary64)))
Outputs
y
(+.f64 y (*.f64 x y))
(fma.f64 y x y)
(+.f64 y (*.f64 x y))
(fma.f64 y x y)
(+.f64 y (*.f64 x y))
(fma.f64 y x y)
(*.f64 x y)
(*.f64 y x)
(*.f64 x (+.f64 y (/.f64 y x)))
(*.f64 x (+.f64 y (/.f64 y x)))
(*.f64 x (+.f64 y (/.f64 y x)))
(*.f64 x y)
(*.f64 y x)
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 y x)))))
(*.f64 x (+.f64 y (/.f64 y x)))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 y x)))))
(*.f64 x (+.f64 y (/.f64 y x)))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 y x)))))
(*.f64 x (+.f64 y (/.f64 y x)))
(*.f64 y (+.f64 #s(literal 1 binary64) x))
(fma.f64 y x y)
(*.f64 y (+.f64 #s(literal 1 binary64) x))
(fma.f64 y x y)
(*.f64 y (+.f64 #s(literal 1 binary64) x))
(fma.f64 y x y)
(*.f64 y (+.f64 #s(literal 1 binary64) x))
(fma.f64 y x y)
(*.f64 y (+.f64 #s(literal 1 binary64) x))
(fma.f64 y x y)
(*.f64 y (+.f64 #s(literal 1 binary64) x))
(fma.f64 y x y)
(*.f64 y (+.f64 #s(literal 1 binary64) x))
(fma.f64 y x y)
(*.f64 y (+.f64 #s(literal 1 binary64) x))
(fma.f64 y x y)
(*.f64 y (+.f64 #s(literal 1 binary64) x))
(fma.f64 y x y)
(*.f64 y (+.f64 #s(literal 1 binary64) x))
(fma.f64 y x y)
(*.f64 y (+.f64 #s(literal 1 binary64) x))
(fma.f64 y x y)
(*.f64 y (+.f64 #s(literal 1 binary64) x))
(fma.f64 y x y)
y
(+.f64 y (*.f64 x (-.f64 y #s(literal 1 binary64))))
(fma.f64 x (+.f64 y #s(literal -1 binary64)) y)
(+.f64 y (*.f64 x (-.f64 y #s(literal 1 binary64))))
(fma.f64 x (+.f64 y #s(literal -1 binary64)) y)
(+.f64 y (*.f64 x (-.f64 y #s(literal 1 binary64))))
(fma.f64 x (+.f64 y #s(literal -1 binary64)) y)
(*.f64 x (-.f64 y #s(literal 1 binary64)))
(*.f64 x (+.f64 y #s(literal -1 binary64)))
(*.f64 x (-.f64 (+.f64 y (/.f64 y x)) #s(literal 1 binary64)))
(*.f64 x (+.f64 (+.f64 y (/.f64 y x)) #s(literal -1 binary64)))
(*.f64 x (+.f64 y (+.f64 #s(literal -1 binary64) (/.f64 y x))))
(*.f64 x (+.f64 (/.f64 y x) (+.f64 y #s(literal -1 binary64))))
(*.f64 x (-.f64 (+.f64 y (/.f64 y x)) #s(literal 1 binary64)))
(*.f64 x (+.f64 (+.f64 y (/.f64 y x)) #s(literal -1 binary64)))
(*.f64 x (+.f64 y (+.f64 #s(literal -1 binary64) (/.f64 y x))))
(*.f64 x (+.f64 (/.f64 y x) (+.f64 y #s(literal -1 binary64))))
(*.f64 x (-.f64 (+.f64 y (/.f64 y x)) #s(literal 1 binary64)))
(*.f64 x (+.f64 (+.f64 y (/.f64 y x)) #s(literal -1 binary64)))
(*.f64 x (+.f64 y (+.f64 #s(literal -1 binary64) (/.f64 y x))))
(*.f64 x (+.f64 (/.f64 y x) (+.f64 y #s(literal -1 binary64))))
(*.f64 x (-.f64 y #s(literal 1 binary64)))
(*.f64 x (+.f64 y #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (-.f64 y #s(literal 1 binary64))) (*.f64 #s(literal -1 binary64) (/.f64 y x)))))
(*.f64 x (+.f64 (+.f64 y (/.f64 y x)) #s(literal -1 binary64)))
(*.f64 x (+.f64 y (+.f64 #s(literal -1 binary64) (/.f64 y x))))
(*.f64 x (+.f64 (/.f64 y x) (+.f64 y #s(literal -1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (-.f64 y #s(literal 1 binary64))) (*.f64 #s(literal -1 binary64) (/.f64 y x)))))
(*.f64 x (+.f64 (+.f64 y (/.f64 y x)) #s(literal -1 binary64)))
(*.f64 x (+.f64 y (+.f64 #s(literal -1 binary64) (/.f64 y x))))
(*.f64 x (+.f64 (/.f64 y x) (+.f64 y #s(literal -1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (-.f64 y #s(literal 1 binary64))) (*.f64 #s(literal -1 binary64) (/.f64 y x)))))
(*.f64 x (+.f64 (+.f64 y (/.f64 y x)) #s(literal -1 binary64)))
(*.f64 x (+.f64 y (+.f64 #s(literal -1 binary64) (/.f64 y x))))
(*.f64 x (+.f64 (/.f64 y x) (+.f64 y #s(literal -1 binary64))))
(*.f64 #s(literal -1 binary64) x)
(neg.f64 x)
(+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) x)))
(fma.f64 x (+.f64 y #s(literal -1 binary64)) y)
(+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) x)))
(fma.f64 x (+.f64 y #s(literal -1 binary64)) y)
(+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) x)))
(fma.f64 x (+.f64 y #s(literal -1 binary64)) y)
(*.f64 y (+.f64 #s(literal 1 binary64) x))
(fma.f64 y x y)
(*.f64 y (+.f64 #s(literal 1 binary64) (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 x y)))))
(*.f64 y (+.f64 #s(literal 1 binary64) (+.f64 x (neg.f64 (/.f64 x y)))))
(*.f64 y (+.f64 #s(literal 1 binary64) (-.f64 x (/.f64 x y))))
(fma.f64 y (-.f64 x (/.f64 x y)) y)
(*.f64 y (+.f64 #s(literal 1 binary64) (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 x y)))))
(*.f64 y (+.f64 #s(literal 1 binary64) (+.f64 x (neg.f64 (/.f64 x y)))))
(*.f64 y (+.f64 #s(literal 1 binary64) (-.f64 x (/.f64 x y))))
(fma.f64 y (-.f64 x (/.f64 x y)) y)
(*.f64 y (+.f64 #s(literal 1 binary64) (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 x y)))))
(*.f64 y (+.f64 #s(literal 1 binary64) (+.f64 x (neg.f64 (/.f64 x y)))))
(*.f64 y (+.f64 #s(literal 1 binary64) (-.f64 x (/.f64 x y))))
(fma.f64 y (-.f64 x (/.f64 x y)) y)
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) x) #s(literal 1 binary64))))
(fma.f64 y x y)
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 x y)) #s(literal 1 binary64))))
(*.f64 y (+.f64 #s(literal 1 binary64) (+.f64 x (neg.f64 (/.f64 x y)))))
(*.f64 y (+.f64 #s(literal 1 binary64) (-.f64 x (/.f64 x y))))
(fma.f64 y (-.f64 x (/.f64 x y)) y)
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 x y)) #s(literal 1 binary64))))
(*.f64 y (+.f64 #s(literal 1 binary64) (+.f64 x (neg.f64 (/.f64 x y)))))
(*.f64 y (+.f64 #s(literal 1 binary64) (-.f64 x (/.f64 x y))))
(fma.f64 y (-.f64 x (/.f64 x y)) y)
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 x y)) #s(literal 1 binary64))))
(*.f64 y (+.f64 #s(literal 1 binary64) (+.f64 x (neg.f64 (/.f64 x y)))))
(*.f64 y (+.f64 #s(literal 1 binary64) (-.f64 x (/.f64 x y))))
(fma.f64 y (-.f64 x (/.f64 x y)) y)
(+.f64 y (*.f64 x y))
(fma.f64 y x y)
(+.f64 y (*.f64 y x))
(fma.f64 y x y)
(+.f64 #s(literal 0 binary64) (fma.f64 x y y))
(fma.f64 y x y)
(+.f64 (*.f64 x y) y)
(fma.f64 y x y)
(+.f64 (*.f64 y x) y)
(fma.f64 y x y)
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (fma.f64 x y y))) (cbrt.f64 (exp.f64 (fma.f64 x y y))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 x y y)))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (fma.f64 y x y))) (cbrt.f64 (exp.f64 (fma.f64 y x y))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 y x y)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x y y)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x y y)))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 y x y)))))
(*.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 y x y)))) #s(literal 2 binary64))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x y y))) #s(literal 1 binary64))
(fma.f64 y x y)
(/.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))
(*.f64 y (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
(*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 y (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
(/.f64 (fma.f64 y (pow.f64 x #s(literal 3 binary64)) y) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x))
(/.f64 (*.f64 y (fma.f64 x x #s(literal -1 binary64))) (+.f64 x #s(literal -1 binary64)))
(*.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 y (+.f64 x #s(literal -1 binary64))))
(*.f64 y (/.f64 (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))) y) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))
(*.f64 y (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
(*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 y (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
(/.f64 (fma.f64 y (pow.f64 x #s(literal 3 binary64)) y) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x))
(/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) y) (+.f64 x #s(literal -1 binary64)))
(*.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 y (+.f64 x #s(literal -1 binary64))))
(*.f64 y (/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))))
(pow.f64 (fma.f64 x y y) #s(literal 1 binary64))
(fma.f64 y x y)
(pow.f64 (cbrt.f64 (fma.f64 x y y)) #s(literal 3 binary64))
(fma.f64 y x y)
(pow.f64 (pow.f64 (fma.f64 x y y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(fma.f64 y x y)
(pow.f64 (sqrt.f64 (fma.f64 x y y)) #s(literal 2 binary64))
(fma.f64 y x y)
(sqrt.f64 (pow.f64 (fma.f64 x y y) #s(literal 2 binary64)))
(fma.f64 y x y)
(log.f64 (exp.f64 (fma.f64 x y y)))
(fma.f64 y x y)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x y y))))
(fma.f64 y x y)
(cbrt.f64 (pow.f64 (fma.f64 x y y) #s(literal 3 binary64)))
(fma.f64 y x y)
(expm1.f64 (log1p.f64 (fma.f64 x y y)))
(fma.f64 y x y)
(log1p.f64 (expm1.f64 (fma.f64 x y y)))
(fma.f64 y x y)
(exp.f64 (+.f64 (log1p.f64 x) (log.f64 y)))
(fma.f64 y x y)
(exp.f64 (*.f64 (+.f64 (log1p.f64 x) (log.f64 y)) #s(literal 1 binary64)))
(fma.f64 y x y)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 x y y))) #s(literal 3 binary64)))
(fma.f64 y x y)
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (+.f64 (log1p.f64 x) (log.f64 y))) #s(literal 1/3 binary64)))
(fma.f64 y x y)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x y y))) #s(literal 2 binary64)))
(fma.f64 y x y)
(fma.f64 x y y)
(fma.f64 y x y)
(fma.f64 #s(literal 1 binary64) y (*.f64 x y))
(fma.f64 y x y)
(fma.f64 #s(literal 1 binary64) y (*.f64 y x))
(fma.f64 y x y)
(fma.f64 y x y)
(fma.f64 y #s(literal 1 binary64) (*.f64 x y))
(fma.f64 y x y)
(fma.f64 y #s(literal 1 binary64) (*.f64 y x))
(fma.f64 y x y)
(fma.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 x y))
(fma.f64 y x y)
(fma.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 y x))
(fma.f64 y x y)
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 y) (*.f64 x y))
(fma.f64 y x y)
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 y) (*.f64 y x))
(fma.f64 y x y)
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) (*.f64 x y))
(fma.f64 y x y)
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) (*.f64 y x))
(fma.f64 y x y)
(+.f64 y (*.f64 x (+.f64 y #s(literal -1 binary64))))
(fma.f64 x (+.f64 y #s(literal -1 binary64)) y)
(+.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) y)
(fma.f64 x (+.f64 y #s(literal -1 binary64)) y)
(+.f64 #s(literal 0 binary64) (fma.f64 x (+.f64 y #s(literal -1 binary64)) y))
(fma.f64 x (+.f64 y #s(literal -1 binary64)) y)
(+.f64 (*.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) #s(literal 1 binary64)) y)
(fma.f64 x (+.f64 y #s(literal -1 binary64)) y)
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) y))) (cbrt.f64 (exp.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) y))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) y)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) y)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) y)))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) y)))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) y))) #s(literal 1 binary64))
(fma.f64 x (+.f64 y #s(literal -1 binary64)) y)
(*.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 y #s(literal -1 binary64)) y))
(fma.f64 x (+.f64 y #s(literal -1 binary64)) y)
(*.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) y) #s(literal 1 binary64))
(fma.f64 x (+.f64 y #s(literal -1 binary64)) y)
(*.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) y) (log.f64 (exp.f64 #s(literal 1 binary64))))
(fma.f64 x (+.f64 y #s(literal -1 binary64)) y)
(*.f64 (cbrt.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) y)) (pow.f64 (cbrt.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) y)) #s(literal 2 binary64)))
(fma.f64 x (+.f64 y #s(literal -1 binary64)) y)
(*.f64 (cbrt.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) y)) (pow.f64 (pow.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) y) #s(literal 2 binary64)) #s(literal 1/3 binary64)))
(fma.f64 x (+.f64 y #s(literal -1 binary64)) y)
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) y)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) y)))
(fma.f64 x (+.f64 y #s(literal -1 binary64)) y)
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) y)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) y))) #s(literal 2 binary64)))
(fma.f64 x (+.f64 y #s(literal -1 binary64)) y)
(*.f64 (sqrt.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) y)) (sqrt.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) y)))
(fma.f64 x (+.f64 y #s(literal -1 binary64)) y)
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) y)) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) y))) #s(literal 3 binary64)))
(fma.f64 x (+.f64 y #s(literal -1 binary64)) y)
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) y))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) y))) #s(literal 3 binary64)))
(fma.f64 x (+.f64 y #s(literal -1 binary64)) y)
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) y))) (cbrt.f64 (cbrt.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) y)))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) y))) #s(literal 3 binary64)))
(fma.f64 x (+.f64 y #s(literal -1 binary64)) y)
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) y))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) y))) #s(literal 3 binary64)))
(fma.f64 x (+.f64 y #s(literal -1 binary64)) y)
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (fma.f64 x (+.f64 y #s(literal -1 binary64)) y))
(fma.f64 x (+.f64 y #s(literal -1 binary64)) y)
(*.f64 (pow.f64 (pow.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) y) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) y)))
(fma.f64 x (+.f64 y #s(literal -1 binary64)) y)
(*.f64 (pow.f64 (*.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) y) (sqrt.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) y))) #s(literal 1/3 binary64)) (pow.f64 (*.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) y) (sqrt.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) y))) #s(literal 1/3 binary64)))
(fma.f64 x (+.f64 y #s(literal -1 binary64)) y)
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) y) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) y) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(fma.f64 x (+.f64 y #s(literal -1 binary64)) y)
(*.f64 (pow.f64 (*.f64 (pow.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) y) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) y)) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (pow.f64 (cbrt.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) y)) #s(literal 1/3 binary64)))
(*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) y))) (cbrt.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) y)) #s(literal 2 binary64)) (pow.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) y) #s(literal 2 binary64)))))
(*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) y))) (cbrt.f64 (*.f64 (cbrt.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) y)) (pow.f64 (cbrt.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) y)) #s(literal 7 binary64)))))
(*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) y))) (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) y)) #s(literal 8 binary64))))
(*.f64 (pow.f64 (*.f64 (pow.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) y) #s(literal 2 binary64)) (sqrt.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) y))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) y)) #s(literal 1/3 binary64)))
(*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) y))) (cbrt.f64 (*.f64 (pow.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) y) #s(literal 2 binary64)) (sqrt.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) y)))))
(*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) y))) (cbrt.f64 (*.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) y) (pow.f64 (sqrt.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) y)) #s(literal 3 binary64)))))
(*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) y))) (cbrt.f64 (pow.f64 (sqrt.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) y)) #s(literal 5 binary64))))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) y)) #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) y))) #s(literal 2 binary64)))
(fma.f64 x (+.f64 y #s(literal -1 binary64)) y)
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) y))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) y))) #s(literal 2 binary64)))
(fma.f64 x (+.f64 y #s(literal -1 binary64)) y)
(/.f64 (+.f64 (pow.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) (*.f64 x (+.f64 y #s(literal -1 binary64))) (-.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) y))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) (*.f64 x (+.f64 y #s(literal -1 binary64))) (-.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 y (*.f64 x (+.f64 y #s(literal -1 binary64)))))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) (*.f64 x (+.f64 y #s(literal -1 binary64))) (*.f64 y (-.f64 y (*.f64 x (+.f64 y #s(literal -1 binary64)))))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y (+.f64 y (*.f64 x (-.f64 #s(literal 1 binary64) y))) (*.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) (*.f64 x (+.f64 y #s(literal -1 binary64))))))
(/.f64 (fma.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) (*.f64 x (+.f64 y #s(literal -1 binary64))) (neg.f64 (pow.f64 y #s(literal 2 binary64)))) (-.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) y))
(/.f64 (-.f64 (*.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) (*.f64 x (+.f64 y #s(literal -1 binary64)))) (pow.f64 y #s(literal 2 binary64))) (-.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) y))
(/.f64 (*.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) y) (-.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) y)) (-.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) y))
(pow.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) y) #s(literal 1 binary64))
(fma.f64 x (+.f64 y #s(literal -1 binary64)) y)
(pow.f64 (cbrt.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) y)) #s(literal 3 binary64))
(fma.f64 x (+.f64 y #s(literal -1 binary64)) y)
(pow.f64 (pow.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(fma.f64 x (+.f64 y #s(literal -1 binary64)) y)
(pow.f64 (sqrt.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) y)) #s(literal 2 binary64))
(fma.f64 x (+.f64 y #s(literal -1 binary64)) y)
(sqrt.f64 (pow.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) y) #s(literal 2 binary64)))
(fma.f64 x (+.f64 y #s(literal -1 binary64)) y)
(log.f64 (exp.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) y)))
(fma.f64 x (+.f64 y #s(literal -1 binary64)) y)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) y))))
(fma.f64 x (+.f64 y #s(literal -1 binary64)) y)
(log.f64 (*.f64 (exp.f64 y) (exp.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))))))
(fma.f64 x (+.f64 y #s(literal -1 binary64)) y)
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 y)) (exp.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))))))
(fma.f64 x (+.f64 y #s(literal -1 binary64)) y)
(log.f64 (*.f64 (exp.f64 (*.f64 x (+.f64 y #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (expm1.f64 y))))
(fma.f64 x (+.f64 y #s(literal -1 binary64)) y)
(cbrt.f64 (pow.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) y) #s(literal 3 binary64)))
(fma.f64 x (+.f64 y #s(literal -1 binary64)) y)
(expm1.f64 (log1p.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) y)))
(fma.f64 x (+.f64 y #s(literal -1 binary64)) y)
(log1p.f64 (expm1.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) y)))
(fma.f64 x (+.f64 y #s(literal -1 binary64)) y)
(exp.f64 (log.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) y)))
(fma.f64 x (+.f64 y #s(literal -1 binary64)) y)
(exp.f64 (*.f64 (log.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) y)) #s(literal 1 binary64)))
(fma.f64 x (+.f64 y #s(literal -1 binary64)) y)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) y))) #s(literal 3 binary64)))
(fma.f64 x (+.f64 y #s(literal -1 binary64)) y)
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) y) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(fma.f64 x (+.f64 y #s(literal -1 binary64)) y)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) y))) #s(literal 2 binary64)))
(fma.f64 x (+.f64 y #s(literal -1 binary64)) y)

eval23.0ms (1%)

Compiler

Compiled 1718 to 1002 computations (41.7% saved)

prune19.0ms (0.8%)

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New1264130
Fresh000
Picked112
Done000
Total1275132
Accuracy
100.0%
Counts
132 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(-.f64 (+.f64 (*.f64 y x) y) x)
100.0%
(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x)
65.4%
(-.f64 (*.f64 y x) x)
77.1%
(-.f64 y x)
43.5%
(neg.f64 x)
Compiler

Compiled 34 to 21 computations (38.2% saved)

localize49.0ms (2.2%)

Localize:

Found 1 expressions with local error:

NewAccuracyProgram
100.0%
(+.f64 (*.f64 y x) y)
Results
37.0ms256×256valid
Compiler

Compiled 38 to 9 computations (76.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-sub: 4.0ms (45.3% of total)
ival-mult: 2.0ms (22.7% of total)
ival-add: 1.0ms (11.3% of total)
ival-neg: 1.0ms (11.3% of total)
const: 0.0ms (0% of total)

series3.0ms (0.1%)

Counts
1 → 24
Calls
Call 1
Inputs
#<alt (+.f64 (*.f64 y x) y)>
Outputs
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) x))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) x))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) x))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) x))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) x))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) x))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) x))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) x))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) x) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) x) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) x) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) x) #s(literal 1 binary64))))>
#<alt y>
#<alt (+.f64 y (*.f64 x y))>
#<alt (+.f64 y (*.f64 x y))>
#<alt (+.f64 y (*.f64 x y))>
#<alt (*.f64 x y)>
#<alt (*.f64 x (+.f64 y (/.f64 y x)))>
#<alt (*.f64 x (+.f64 y (/.f64 y x)))>
#<alt (*.f64 x (+.f64 y (/.f64 y x)))>
#<alt (*.f64 x y)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 y x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 y x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 y x)))))>
Calls

6 calls:

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

rewrite73.0ms (3.2%)

Algorithm
batch-egg-rewrite
Rules
791×prod-diff
480×log1p-expm1-u
480×expm1-log1p-u
447×unpow-prod-down
407×pow1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0918
19818
2133218
Stop Event
node limit
Counts
1 → 65
Calls
Call 1
Inputs
(+.f64 (*.f64 y x) y)
Outputs
(-.f64 (exp.f64 (log1p.f64 (fma.f64 y x y))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 y (-.f64 x #s(literal 1 binary64)))) (/.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 y (-.f64 x #s(literal 1 binary64)))))
(*.f64 y (+.f64 #s(literal 1 binary64) x))
(*.f64 y (+.f64 x #s(literal 1 binary64)))
(*.f64 (fma.f64 y x y) #s(literal 1 binary64))
(*.f64 (fma.f64 y x y) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (fma.f64 y x y))
(*.f64 (cbrt.f64 (fma.f64 y x y)) (pow.f64 (cbrt.f64 (fma.f64 y x y)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 y x y)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 y x y)))
(*.f64 (sqrt.f64 (fma.f64 y x y)) (sqrt.f64 (fma.f64 y x y)))
(*.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y (*.f64 y x)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))
(*.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 y (-.f64 x #s(literal 1 binary64)))))
(*.f64 (+.f64 x #s(literal 1 binary64)) y)
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (fma.f64 y x y))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y x y))) #s(literal 2 binary64)) #s(literal 3 binary64)) (cbrt.f64 (fma.f64 y x y)))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 y x y))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 y x y))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 y x y) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 y x y) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (pow.f64 (*.f64 (fma.f64 y x y) (cbrt.f64 (fma.f64 y x y))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (fma.f64 y x y))))
(*.f64 (pow.f64 (pow.f64 (fma.f64 y x y) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (fma.f64 y x y))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (-.f64 y (*.f64 y x)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (-.f64 x #s(literal 1 binary64))) (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y (-.f64 y (*.f64 y x)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y y (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 x (pow.f64 y #s(literal 2 binary64))))))
(/.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (*.f64 y (-.f64 x #s(literal 1 binary64))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 y (-.f64 y (*.f64 y x)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (neg.f64 (*.f64 y (-.f64 x #s(literal 1 binary64)))))
(/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (-.f64 y (*.f64 y x)))
(pow.f64 (fma.f64 y x y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 y x y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 y x y) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (fma.f64 y x y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 y x y)) #s(literal 2 binary64))
(pow.f64 (/.f64 (fma.f64 y (-.f64 y (*.f64 y x)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 y (-.f64 x #s(literal 1 binary64))) (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) #s(literal -1 binary64))
(sqrt.f64 (pow.f64 (fma.f64 y x y) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 y x y)))
(cbrt.f64 (pow.f64 (fma.f64 y x y) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 y x y)))
(log1p.f64 (expm1.f64 (fma.f64 y x y)))
(exp.f64 (+.f64 (log.f64 y) (log1p.f64 x)))
(exp.f64 (*.f64 (+.f64 (log.f64 y) (log1p.f64 x)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 y x y))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (+.f64 (log.f64 y) (log1p.f64 x))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 y x y))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (+.f64 (log.f64 y) (log1p.f64 x)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(fma.f64 y x y)
(fma.f64 y #s(literal 1 binary64) (*.f64 y x))
(fma.f64 x y y)
(fma.f64 (*.f64 y x) #s(literal 1 binary64) y)
(fma.f64 #s(literal 1 binary64) y (*.f64 y x))
(fma.f64 #s(literal 1 binary64) (*.f64 y x) y)
(fma.f64 (cbrt.f64 (*.f64 y x)) (pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 2 binary64)) y)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 y x)) y)
(fma.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 y x))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 y) (*.f64 y x))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) x) y)
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) y) y)
(fma.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 (*.f64 y x)) y)
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) (*.f64 y x))
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) x) y)
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) y) y)
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) y)
(fma.f64 (*.f64 y (sqrt.f64 x)) (sqrt.f64 x) y)
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) y)
(fma.f64 (*.f64 x (sqrt.f64 y)) (sqrt.f64 y) y)

simplify79.0ms (3.5%)

Algorithm
egg-herbie
Rules
610×prod-exp
535×unswap-sqr
398×div-sub
377×times-frac
222×exp-prod
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01752206
14012153
210562111
344562111
Stop Event
node limit
Counts
89 → 79
Calls
Call 1
Inputs
(*.f64 y (+.f64 #s(literal 1 binary64) x))
(*.f64 y (+.f64 #s(literal 1 binary64) x))
(*.f64 y (+.f64 #s(literal 1 binary64) x))
(*.f64 y (+.f64 #s(literal 1 binary64) x))
(*.f64 y (+.f64 #s(literal 1 binary64) x))
(*.f64 y (+.f64 #s(literal 1 binary64) x))
(*.f64 y (+.f64 #s(literal 1 binary64) x))
(*.f64 y (+.f64 #s(literal 1 binary64) x))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) x) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) x) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) x) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) x) #s(literal 1 binary64))))
y
(+.f64 y (*.f64 x y))
(+.f64 y (*.f64 x y))
(+.f64 y (*.f64 x y))
(*.f64 x y)
(*.f64 x (+.f64 y (/.f64 y x)))
(*.f64 x (+.f64 y (/.f64 y x)))
(*.f64 x (+.f64 y (/.f64 y x)))
(*.f64 x y)
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 y x)))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 y x)))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 y x)))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 y x y))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 y (-.f64 x #s(literal 1 binary64)))) (/.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 y (-.f64 x #s(literal 1 binary64)))))
(*.f64 y (+.f64 #s(literal 1 binary64) x))
(*.f64 y (+.f64 x #s(literal 1 binary64)))
(*.f64 (fma.f64 y x y) #s(literal 1 binary64))
(*.f64 (fma.f64 y x y) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (fma.f64 y x y))
(*.f64 (cbrt.f64 (fma.f64 y x y)) (pow.f64 (cbrt.f64 (fma.f64 y x y)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 y x y)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 y x y)))
(*.f64 (sqrt.f64 (fma.f64 y x y)) (sqrt.f64 (fma.f64 y x y)))
(*.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y (*.f64 y x)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))
(*.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 y (-.f64 x #s(literal 1 binary64)))))
(*.f64 (+.f64 x #s(literal 1 binary64)) y)
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (fma.f64 y x y))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y x y))) #s(literal 2 binary64)) #s(literal 3 binary64)) (cbrt.f64 (fma.f64 y x y)))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 y x y))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 y x y))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 y x y) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 y x y) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (pow.f64 (*.f64 (fma.f64 y x y) (cbrt.f64 (fma.f64 y x y))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (fma.f64 y x y))))
(*.f64 (pow.f64 (pow.f64 (fma.f64 y x y) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (fma.f64 y x y))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (-.f64 y (*.f64 y x)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (-.f64 x #s(literal 1 binary64))) (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y (-.f64 y (*.f64 y x)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y y (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 x (pow.f64 y #s(literal 2 binary64))))))
(/.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (*.f64 y (-.f64 x #s(literal 1 binary64))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 y (-.f64 y (*.f64 y x)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (neg.f64 (*.f64 y (-.f64 x #s(literal 1 binary64)))))
(/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (-.f64 y (*.f64 y x)))
(pow.f64 (fma.f64 y x y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 y x y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 y x y) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (fma.f64 y x y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 y x y)) #s(literal 2 binary64))
(pow.f64 (/.f64 (fma.f64 y (-.f64 y (*.f64 y x)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 y (-.f64 x #s(literal 1 binary64))) (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) #s(literal -1 binary64))
(sqrt.f64 (pow.f64 (fma.f64 y x y) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 y x y)))
(cbrt.f64 (pow.f64 (fma.f64 y x y) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 y x y)))
(log1p.f64 (expm1.f64 (fma.f64 y x y)))
(exp.f64 (+.f64 (log.f64 y) (log1p.f64 x)))
(exp.f64 (*.f64 (+.f64 (log.f64 y) (log1p.f64 x)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 y x y))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (+.f64 (log.f64 y) (log1p.f64 x))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 y x y))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (+.f64 (log.f64 y) (log1p.f64 x)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(fma.f64 y x y)
(fma.f64 y #s(literal 1 binary64) (*.f64 y x))
(fma.f64 x y y)
(fma.f64 (*.f64 y x) #s(literal 1 binary64) y)
(fma.f64 #s(literal 1 binary64) y (*.f64 y x))
(fma.f64 #s(literal 1 binary64) (*.f64 y x) y)
(fma.f64 (cbrt.f64 (*.f64 y x)) (pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 2 binary64)) y)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 y x)) y)
(fma.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 y x))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 y) (*.f64 y x))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) x) y)
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) y) y)
(fma.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 (*.f64 y x)) y)
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) (*.f64 y x))
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) x) y)
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) y) y)
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) y)
(fma.f64 (*.f64 y (sqrt.f64 x)) (sqrt.f64 x) y)
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) y)
(fma.f64 (*.f64 x (sqrt.f64 y)) (sqrt.f64 y) y)
Outputs
(*.f64 y (+.f64 #s(literal 1 binary64) x))
(fma.f64 y x y)
(*.f64 y (+.f64 #s(literal 1 binary64) x))
(fma.f64 y x y)
(*.f64 y (+.f64 #s(literal 1 binary64) x))
(fma.f64 y x y)
(*.f64 y (+.f64 #s(literal 1 binary64) x))
(fma.f64 y x y)
(*.f64 y (+.f64 #s(literal 1 binary64) x))
(fma.f64 y x y)
(*.f64 y (+.f64 #s(literal 1 binary64) x))
(fma.f64 y x y)
(*.f64 y (+.f64 #s(literal 1 binary64) x))
(fma.f64 y x y)
(*.f64 y (+.f64 #s(literal 1 binary64) x))
(fma.f64 y x y)
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) x) #s(literal 1 binary64))))
(fma.f64 y x y)
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) x) #s(literal 1 binary64))))
(fma.f64 y x y)
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) x) #s(literal 1 binary64))))
(fma.f64 y x y)
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) x) #s(literal 1 binary64))))
(fma.f64 y x y)
y
(+.f64 y (*.f64 x y))
(fma.f64 y x y)
(+.f64 y (*.f64 x y))
(fma.f64 y x y)
(+.f64 y (*.f64 x y))
(fma.f64 y x y)
(*.f64 x y)
(*.f64 y x)
(*.f64 x (+.f64 y (/.f64 y x)))
(fma.f64 y x y)
(*.f64 x (+.f64 y (/.f64 y x)))
(fma.f64 y x y)
(*.f64 x (+.f64 y (/.f64 y x)))
(fma.f64 y x y)
(*.f64 x y)
(*.f64 y x)
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 y x)))))
(fma.f64 y x y)
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 y x)))))
(fma.f64 y x y)
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 y x)))))
(fma.f64 y x y)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 y x y))) #s(literal 1 binary64))
(fma.f64 y x y)
(-.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 y (-.f64 x #s(literal 1 binary64)))) (/.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 y (-.f64 x #s(literal 1 binary64)))))
(fma.f64 y x y)
(*.f64 y (+.f64 #s(literal 1 binary64) x))
(fma.f64 y x y)
(*.f64 y (+.f64 x #s(literal 1 binary64)))
(fma.f64 y x y)
(*.f64 (fma.f64 y x y) #s(literal 1 binary64))
(fma.f64 y x y)
(*.f64 (fma.f64 y x y) (log.f64 (exp.f64 #s(literal 1 binary64))))
(fma.f64 y x y)
(*.f64 #s(literal 1 binary64) (fma.f64 y x y))
(fma.f64 y x y)
(*.f64 (cbrt.f64 (fma.f64 y x y)) (pow.f64 (cbrt.f64 (fma.f64 y x y)) #s(literal 2 binary64)))
(fma.f64 y x y)
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 y x y)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 y x y)))
(fma.f64 y x y)
(*.f64 (sqrt.f64 (fma.f64 y x y)) (sqrt.f64 (fma.f64 y x y)))
(fma.f64 y x y)
(*.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y (*.f64 y x)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y (-.f64 y (*.f64 y x)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y y (*.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))) (+.f64 x #s(literal -1 binary64)))))
(*.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 y (-.f64 x #s(literal 1 binary64)))))
(fma.f64 y x y)
(*.f64 (+.f64 x #s(literal 1 binary64)) y)
(fma.f64 y x y)
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (fma.f64 y x y))
(fma.f64 y x y)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y x y))) #s(literal 2 binary64)) #s(literal 3 binary64)) (cbrt.f64 (fma.f64 y x y)))
(fma.f64 y x y)
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 y x y))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 y x y))) #s(literal 3 binary64)))
(fma.f64 y x y)
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 y x y) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 y x y) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (fma.f64 y x y) #s(literal 3 binary64)))) (cbrt.f64 (sqrt.f64 (pow.f64 (fma.f64 y x y) #s(literal 3 binary64)))))
(*.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (fma.f64 y x y)) #s(literal 3 binary64))) (cbrt.f64 (pow.f64 (sqrt.f64 (fma.f64 y x y)) #s(literal 3 binary64))))
(*.f64 (pow.f64 (pow.f64 (*.f64 (fma.f64 y x y) (cbrt.f64 (fma.f64 y x y))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (fma.f64 y x y))))
(*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y x y))) (cbrt.f64 (pow.f64 (*.f64 (fma.f64 y x y) (cbrt.f64 (fma.f64 y x y))) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y x y))) (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 y x y)) #s(literal 4 binary64)) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y x y))) (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 y x y)) #s(literal 8 binary64))))
(*.f64 (pow.f64 (pow.f64 (fma.f64 y x y) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (fma.f64 y x y))))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 y x y) #s(literal 5/2 binary64))) (cbrt.f64 (sqrt.f64 (fma.f64 y x y))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (-.f64 y (*.f64 y x)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))
(*.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y (*.f64 y x)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y (-.f64 y (*.f64 y x)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y y (*.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))) (+.f64 x #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (-.f64 x #s(literal 1 binary64))) (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))
(fma.f64 y x y)
(/.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y (-.f64 y (*.f64 y x)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))
(*.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y (*.f64 y x)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y y (*.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))) (+.f64 x #s(literal -1 binary64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y y (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 x (pow.f64 y #s(literal 2 binary64))))))
(*.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y (*.f64 y x)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y (-.f64 y (*.f64 y x)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y y (*.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))) (+.f64 x #s(literal -1 binary64)))))
(/.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (*.f64 y (-.f64 x #s(literal 1 binary64))))
(fma.f64 y x y)
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 y (-.f64 y (*.f64 y x)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))
(*.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y (*.f64 y x)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y (-.f64 y (*.f64 y x)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y y (*.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))) (+.f64 x #s(literal -1 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (neg.f64 (*.f64 y (-.f64 x #s(literal 1 binary64)))))
(fma.f64 y x y)
(/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (-.f64 y (*.f64 y x)))
(fma.f64 y x y)
(pow.f64 (fma.f64 y x y) #s(literal 1 binary64))
(fma.f64 y x y)
(pow.f64 (cbrt.f64 (fma.f64 y x y)) #s(literal 3 binary64))
(fma.f64 y x y)
(pow.f64 (pow.f64 (fma.f64 y x y) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(fma.f64 y x y)
(pow.f64 (pow.f64 (fma.f64 y x y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(fma.f64 y x y)
(pow.f64 (sqrt.f64 (fma.f64 y x y)) #s(literal 2 binary64))
(fma.f64 y x y)
(pow.f64 (/.f64 (fma.f64 y (-.f64 y (*.f64 y x)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) #s(literal -1 binary64))
(*.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y (*.f64 y x)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y (-.f64 y (*.f64 y x)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y y (*.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))) (+.f64 x #s(literal -1 binary64)))))
(pow.f64 (/.f64 (*.f64 y (-.f64 x #s(literal 1 binary64))) (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) #s(literal -1 binary64))
(fma.f64 y x y)
(sqrt.f64 (pow.f64 (fma.f64 y x y) #s(literal 2 binary64)))
(fma.f64 y x y)
(log.f64 (exp.f64 (fma.f64 y x y)))
(fma.f64 y x y)
(cbrt.f64 (pow.f64 (fma.f64 y x y) #s(literal 3 binary64)))
(fma.f64 y x y)
(expm1.f64 (log1p.f64 (fma.f64 y x y)))
(fma.f64 y x y)
(log1p.f64 (expm1.f64 (fma.f64 y x y)))
(fma.f64 y x y)
(exp.f64 (+.f64 (log.f64 y) (log1p.f64 x)))
(fma.f64 y x y)
(exp.f64 (*.f64 (+.f64 (log.f64 y) (log1p.f64 x)) #s(literal 1 binary64)))
(fma.f64 y x y)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 y x y))) #s(literal 3 binary64)))
(fma.f64 y x y)
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (+.f64 (log.f64 y) (log1p.f64 x))) #s(literal 1/3 binary64)))
(fma.f64 y x y)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 y x y))) #s(literal 2 binary64)))
(fma.f64 y x y)
(exp.f64 (*.f64 (*.f64 (+.f64 (log.f64 y) (log1p.f64 x)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(fma.f64 y x y)
(fma.f64 y x y)
(fma.f64 y #s(literal 1 binary64) (*.f64 y x))
(fma.f64 y x y)
(fma.f64 x y y)
(fma.f64 y x y)
(fma.f64 (*.f64 y x) #s(literal 1 binary64) y)
(fma.f64 y x y)
(fma.f64 #s(literal 1 binary64) y (*.f64 y x))
(fma.f64 y x y)
(fma.f64 #s(literal 1 binary64) (*.f64 y x) y)
(fma.f64 y x y)
(fma.f64 (cbrt.f64 (*.f64 y x)) (pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 2 binary64)) y)
(fma.f64 y x y)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 y x)) y)
(fma.f64 y x y)
(fma.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 y x))
(fma.f64 y x y)
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 y) (*.f64 y x))
(fma.f64 y x y)
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) x) y)
(fma.f64 y x y)
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) y) y)
(fma.f64 y x y)
(fma.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 (*.f64 y x)) y)
(fma.f64 y x y)
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) (*.f64 y x))
(fma.f64 y x y)
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) x) y)
(fma.f64 y x y)
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) y) y)
(fma.f64 y x y)
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) y)
(fma.f64 y x y)
(fma.f64 (*.f64 y (sqrt.f64 x)) (sqrt.f64 x) y)
(fma.f64 y x y)
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) y)
(fma.f64 y x y)
(fma.f64 (*.f64 x (sqrt.f64 y)) (sqrt.f64 y) y)
(fma.f64 y x y)

eval13.0ms (0.6%)

Compiler

Compiled 1046 to 463 computations (55.7% saved)

prune12.0ms (0.5%)

Pruning

5 alts after pruning (0 fresh and 5 done)

PrunedKeptTotal
New79079
Fresh000
Picked044
Done011
Total79584
Accuracy
100.0%
Counts
84 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(-.f64 (+.f64 (*.f64 y x) y) x)
100.0%
(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x)
65.4%
(-.f64 (*.f64 y x) x)
77.1%
(-.f64 y x)
43.5%
(neg.f64 x)
Compiler

Compiled 66 to 36 computations (45.5% saved)

regimes9.0ms (0.4%)

Counts
6 → 1
Calls
Call 1
Inputs
(neg.f64 x)
(-.f64 y x)
(-.f64 (*.f64 y x) x)
(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x)
(-.f64 (+.f64 (*.f64 y x) y) x)
(fma.f64 x (+.f64 y #s(literal -1 binary64)) y)
Outputs
(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x)
Calls

3 calls:

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

Compiled 15 to 10 computations (33.3% saved)

regimes91.0ms (4%)

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

2 calls:

87.0ms
y
4.0ms
x
Results
AccuracySegmentsBranch
98.6%3x
84.4%5y
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0.1%)

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

2 calls:

1.0ms
x
1.0ms
y
Results
AccuracySegmentsBranch
77.1%1y
77.1%1x
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
(neg.f64 x)
Outputs
(neg.f64 x)
Calls

2 calls:

0.0ms
x
0.0ms
y
Results
AccuracySegmentsBranch
43.5%1x
43.5%1y
Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch23.0ms (1%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
10.0ms
1.6160490497711032e-32
4.972752434148069e-30
12.0ms
-2.4962760898901992
-0.2939041643067088
Results
14.0ms224×0valid
Compiler

Compiled 210 to 136 computations (35.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-sub: 5.0ms (57.5% of total)
ival-mult: 2.0ms (23% of total)
ival-add: 1.0ms (11.5% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

simplify7.0ms (0.3%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
025115
143115
248115
349115
Stop Event
saturated
Calls
Call 1
Inputs
(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x)
(if (<=.f64 x #s(literal -1 binary64)) (-.f64 (*.f64 y x) x) (if (<=.f64 x #s(literal 6993513694259203/1427247692705959881058285969449495136382746624 binary64)) (-.f64 y x) (-.f64 (*.f64 y x) x)))
(-.f64 y x)
(neg.f64 x)
Outputs
(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x)
(if (<=.f64 x #s(literal -1 binary64)) (-.f64 (*.f64 y x) x) (if (<=.f64 x #s(literal 6993513694259203/1427247692705959881058285969449495136382746624 binary64)) (-.f64 y x) (-.f64 (*.f64 y x) x)))
(if (or (<=.f64 x #s(literal -1 binary64)) (not (<=.f64 x #s(literal 6993513694259203/1427247692705959881058285969449495136382746624 binary64)))) (-.f64 (*.f64 x y) x) (-.f64 y x))
(-.f64 y x)
(neg.f64 x)

soundness353.0ms (15.4%)

Rules
636×fma-neg
631×fma-define
579×fma-define
538×prod-exp
490×fma-neg
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
02493673
15323643
214813603
354563570
024228
156204
2152185
3693182
41591176
52456176
62748176
72798176
Stop Event
done
saturated
node limit
Compiler

Compiled 155 to 72 computations (53.5% saved)

preprocess34.0ms (1.5%)

Compiler

Compiled 80 to 46 computations (42.5% saved)

end0.0ms (0%)

Profiling

Loading profile data...