Data.Colour.RGBSpace.HSL:hsl from colour-2.3.3, A

Time bar (total: 7.0s)

analyze0.0ms (0%)

Algorithm
1×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 6 computations (40% 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)
backward-pass: 0.0ms (0% of total)

sample829.0ms (11.8%)

Results
673.0ms8255×0valid
0.0ms1×2valid
Precisions
Click to see histograms. Total time spent on operations: 349.0ms
ival-add: 173.0ms (49.5% of total)
ival-mult: 94.0ms (26.9% of total)
ival-sub: 73.0ms (20.9% of total)
const: 7.0ms (2% of total)
backward-pass: 2.0ms (0.6% of total)
Bogosity

preprocess96.0ms (1.4%)

Algorithm
1×egg-herbie
Rules
639×fma-neg
535×fma-define
118×cancel-sign-sub-inv
69×distribute-lft-neg-in
66×distribute-rgt-in
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
024241
168217
2180191
3548174
41346168
52190168
62435168
72442168
Stop Event
1×saturated
Calls
Call 1
Inputs
(-.f64 (+.f64 x y) (*.f64 x y))
(-.f64 (+.f64 x y) (*.f64 x y))
(-.f64 (+.f64 (neg.f64 x) y) (*.f64 (neg.f64 x) y))
(-.f64 (+.f64 x (neg.f64 y)) (*.f64 x (neg.f64 y)))
(neg.f64 (-.f64 (+.f64 (neg.f64 x) y) (*.f64 (neg.f64 x) y)))
(neg.f64 (-.f64 (+.f64 x (neg.f64 y)) (*.f64 x (neg.f64 y))))
(-.f64 (+.f64 y x) (*.f64 y x))
Outputs
(-.f64 (+.f64 x y) (*.f64 x y))
(+.f64 x (-.f64 y (*.f64 x y)))
(+.f64 y (*.f64 x (-.f64 #s(literal 1 binary64) y)))
(fma.f64 x (-.f64 #s(literal 1 binary64) y) y)
(-.f64 (+.f64 x y) (*.f64 x y))
(+.f64 x (-.f64 y (*.f64 x y)))
(+.f64 y (*.f64 x (-.f64 #s(literal 1 binary64) y)))
(fma.f64 x (-.f64 #s(literal 1 binary64) y) y)
(-.f64 (+.f64 (neg.f64 x) y) (*.f64 (neg.f64 x) y))
(+.f64 (+.f64 y (neg.f64 x)) (*.f64 x y))
(+.f64 (*.f64 x y) (-.f64 y x))
(fma.f64 x y (-.f64 y x))
(fma.f64 x (+.f64 y #s(literal -1 binary64)) y)
(-.f64 (+.f64 x (neg.f64 y)) (*.f64 x (neg.f64 y)))
(-.f64 (-.f64 x y) (*.f64 x (neg.f64 y)))
(+.f64 (*.f64 x y) (-.f64 x y))
(fma.f64 y (+.f64 #s(literal -1 binary64) x) x)
(fma.f64 y (+.f64 x #s(literal -1 binary64)) x)
(neg.f64 (-.f64 (+.f64 (neg.f64 x) y) (*.f64 (neg.f64 x) y)))
(neg.f64 (+.f64 (+.f64 y (neg.f64 x)) (*.f64 x y)))
(-.f64 x (+.f64 y (*.f64 x y)))
(-.f64 x (*.f64 (+.f64 x #s(literal 1 binary64)) y))
(-.f64 x (fma.f64 x y y))
(fma.f64 y (-.f64 #s(literal -1 binary64) x) x)
(neg.f64 (-.f64 (+.f64 x (neg.f64 y)) (*.f64 x (neg.f64 y))))
(neg.f64 (-.f64 (-.f64 x y) (*.f64 x (neg.f64 y))))
(-.f64 (-.f64 y x) (*.f64 x y))
(-.f64 y (*.f64 x (+.f64 #s(literal 1 binary64) y)))
(-.f64 y (fma.f64 x y x))
(fma.f64 x (-.f64 #s(literal -1 binary64) y) y)
(-.f64 (+.f64 y x) (*.f64 y x))
(+.f64 x (-.f64 y (*.f64 x y)))
(+.f64 y (*.f64 x (-.f64 #s(literal 1 binary64) y)))
(fma.f64 x (-.f64 #s(literal 1 binary64) y) y)
Symmetry

(sort x y)

explain71.0ms (1%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(-.f64 (+.f64 x y) (*.f64 x y))
00-0-y
00-0-(+.f64 x y)
00-0-(*.f64 x y)
00-0-x
Confusion
Predicted +Predicted -
+00
-0256
Precision
0/0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-00256
Precision?
0/0
Recall?
0/0
Freqs
test
numberfreq
0256
Total Confusion?
Predicted +Predicted MaybePredicted -
+000
-001
Precision?
0/0
Recall?
0/0
Results
29.0ms512×0valid
Compiler

Compiled 54 to 22 computations (59.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-mult: 4.0ms (37.6% of total)
ival-add: 3.0ms (28.2% of total)
ival-sub: 2.0ms (18.8% of total)
const: 1.0ms (9.4% of total)
backward-pass: 0.0ms (0% of total)

eval1.0ms (0%)

Compiler

Compiled 22 to 10 computations (54.5% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
(-.f64 (+.f64 x y) (*.f64 x y))
Compiler

Compiled 9 to 5 computations (44.4% saved)

simplify36.0ms (0.5%)

Algorithm
1×egg-herbie
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
✓cost-diff-6272
(-.f64 (+.f64 x y) (*.f64 x y))
✓cost-diff0
(*.f64 x y)
✓cost-diff0
(+.f64 x y)
Rules
249×fma-neg
181×fma-define
42×cancel-sign-sub-inv
41×sub-neg
32×distribute-rgt-in
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
01065
12065
24065
37560
414558
527358
651158
777158
894458
997258
1097358
Stop Event
1×saturated
Calls
Call 1
Inputs
(-.f64 (+.f64 x y) (*.f64 x y))
(+.f64 x y)
x
y
(*.f64 x y)
Outputs
(-.f64 (+.f64 x y) (*.f64 x y))
(+.f64 x (-.f64 y (*.f64 x y)))
(+.f64 y (-.f64 x (*.f64 x y)))
(fma.f64 (fma.f64 x #s(literal -1 binary64) #s(literal 1 binary64)) y x)
(fma.f64 x (-.f64 #s(literal 1 binary64) y) y)
(+.f64 x y)
x
y
(*.f64 x y)

localize20.0ms (0.3%)

Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(-.f64 (+.f64 x y) (*.f64 x y))
✓accuracy100.0%
(+.f64 x y)
✓accuracy100.0%
(*.f64 x y)
Results
14.0ms256×0valid
Compiler

Compiled 18 to 6 computations (66.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-sub: 2.0ms (33.5% of total)
ival-add: 2.0ms (33.5% of total)
ival-mult: 2.0ms (33.5% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series6.0ms (0.1%)

Counts
3 → 42
Calls
Call 1
Inputs
#<alt (+.f64 x y)>
#<alt (*.f64 x y)>
#<alt (-.f64 (+.f64 x y) (*.f64 x y))>
Outputs
#<alt y>
#<alt x>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x)))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x)))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x)))>
#<alt x>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64))))>
#<alt x>
#<alt y>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y)))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y)))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y)))>
#<alt y>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 1 binary64))))>
#<alt y>
#<alt (+.f64 y (*.f64 x (-.f64 #s(literal 1 binary64) y)))>
#<alt (+.f64 y (*.f64 x (-.f64 #s(literal 1 binary64) y)))>
#<alt (+.f64 y (*.f64 x (-.f64 #s(literal 1 binary64) y)))>
#<alt (*.f64 x (-.f64 #s(literal 1 binary64) y))>
#<alt (*.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) y))>
#<alt (*.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) y))>
#<alt (*.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) y))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) y)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) y)))))>
#<alt x>
#<alt (+.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) x)))>
#<alt (+.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) x)))>
#<alt (+.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 y (-.f64 #s(literal 1 binary64) x))>
#<alt (*.f64 y (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) x))>
#<alt (*.f64 y (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) x))>
#<alt (*.f64 y (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) x))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))))>
Calls

18 calls:

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

rewrite271.0ms (3.9%)

Algorithm
1×batch-egg-rewrite
Rules
762×log1p-expm1-u
762×expm1-log1p-u
652×unpow-prod-down
497×fma-define
338×log-prod
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01057
113154
2207250
Stop Event
1×node limit
Counts
3 → 243
Calls
Call 1
Inputs
(+.f64 x y)
(*.f64 x y)
(-.f64 (+.f64 x y) (*.f64 x y))
Outputs
(-.f64 (exp.f64 (log1p.f64 (+.f64 x y))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 x y)) (/.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 x y)))
(*.f64 (+.f64 x y) #s(literal 1 binary64))
(*.f64 (+.f64 x y) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (+.f64 x y))
(*.f64 (cbrt.f64 (+.f64 x y)) (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (+.f64 x y)) (pow.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 2 binary64)) (cbrt.f64 (+.f64 x y)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y))) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (+.f64 x y)))
(*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)))
(*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x y)))
(*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 x y)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x y))) #s(literal 3 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (+.f64 x y))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (cbrt.f64 (+.f64 x y))) (cbrt.f64 (cbrt.f64 (+.f64 x y)))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x y))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 x y))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 x y))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (+.f64 x y)))
(*.f64 (pow.f64 (pow.f64 (+.f64 x y) #s(literal 3/2 binary64)) #s(literal 1/3 binary64)) (pow.f64 (pow.f64 (+.f64 x y) #s(literal 3/2 binary64)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (*.f64 (+.f64 x y) (sqrt.f64 (+.f64 x y))) #s(literal 1/3 binary64)) (pow.f64 (*.f64 (+.f64 x y) (sqrt.f64 (+.f64 x y))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (*.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (*.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) (sqrt.f64 (+.f64 x y))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (+.f64 x y)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 x y))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64))) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y y (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 x y))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (-.f64 x y))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (neg.f64 (-.f64 x y)))
(/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (-.f64 y x))
(pow.f64 (+.f64 x y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 x y)) #s(literal 2 binary64))
(pow.f64 (/.f64 (fma.f64 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64))) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 x y) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) #s(literal -1 binary64))
(sqrt.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 x y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 x y))))
(log.f64 (*.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (expm1.f64 y))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (exp.f64 y)))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (+.f64 #s(literal 1 binary64) (expm1.f64 y))))
(log.f64 (*.f64 (exp.f64 y) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 y)) (exp.f64 x)))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 y)) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(cbrt.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 x y)))
(log1p.f64 (expm1.f64 (+.f64 x y)))
(exp.f64 (log.f64 (+.f64 x y)))
(exp.f64 (*.f64 (log.f64 (+.f64 x y)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 x y))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (+.f64 x y))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 x y))) #s(literal 2 binary64)))
(fma.f64 x #s(literal 1 binary64) y)
(fma.f64 y #s(literal 1 binary64) x)
(fma.f64 #s(literal 1 binary64) x y)
(fma.f64 #s(literal 1 binary64) y x)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) y)
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) y)
(fma.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) x)
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 y) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) y)
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) x)
(+.f64 #s(literal 0 binary64) (*.f64 x y))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) y)) (cbrt.f64 (pow.f64 (exp.f64 x) y)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) y))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) y))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) y))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x y))) #s(literal 1 binary64))
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(fma.f64 (cbrt.f64 (+.f64 x y)) (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 2 binary64)) (*.f64 (*.f64 x (neg.f64 y)) #s(literal 1 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 2 binary64)) (cbrt.f64 (+.f64 x y)) (*.f64 x (neg.f64 y)))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 2 binary64)) (cbrt.f64 (+.f64 x y)) (*.f64 (*.f64 x (neg.f64 y)) #s(literal 1 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 (*.f64 x y))) (+.f64 x y))
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 y (-.f64 #s(literal 1 binary64) x)))
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (*.f64 y (-.f64 #s(literal 1 binary64) x)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (*.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))
(fma.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (-.f64 x (*.f64 x y)))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 y) (-.f64 x (*.f64 x y)))
(fma.f64 (sqrt.f64 (fma.f64 y (-.f64 #s(literal 1 binary64) x) x)) (sqrt.f64 (fma.f64 y (-.f64 #s(literal 1 binary64) x) x)) (fma.f64 (neg.f64 y) x (*.f64 x y)))
(fma.f64 (sqrt.f64 (fma.f64 y (-.f64 #s(literal 1 binary64) x) x)) (sqrt.f64 (fma.f64 y (-.f64 #s(literal 1 binary64) x) x)) (fma.f64 (*.f64 x (neg.f64 y)) #s(literal 1 binary64) (*.f64 x y)))
(fma.f64 (sqrt.f64 (fma.f64 y (-.f64 #s(literal 1 binary64) x) x)) (sqrt.f64 (fma.f64 y (-.f64 #s(literal 1 binary64) x) x)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (*.f64 x y)))
(fma.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (+.f64 x y)) (*.f64 x (neg.f64 y)))
(fma.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (+.f64 x y)) (*.f64 (*.f64 x (neg.f64 y)) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 (*.f64 x y)) (neg.f64 (sqrt.f64 (*.f64 x y))) (+.f64 x y))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 y (-.f64 #s(literal 1 binary64) x)))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) (-.f64 x (*.f64 x y)))
(fma.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64)))) (*.f64 x (neg.f64 y)))
(fma.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64)))) (*.f64 (*.f64 x (neg.f64 y)) #s(literal 1 binary64)))
(fma.f64 (-.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x y) (fma.f64 x y (+.f64 x y)) (pow.f64 (+.f64 x y) #s(literal 2 binary64)))) (fma.f64 (neg.f64 y) x (*.f64 x y)))
(fma.f64 (-.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x y) (fma.f64 x y (+.f64 x y)) (pow.f64 (+.f64 x y) #s(literal 2 binary64)))) (fma.f64 (*.f64 x (neg.f64 y)) #s(literal 1 binary64) (*.f64 x y)))
(fma.f64 (-.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x y) (fma.f64 x y (+.f64 x y)) (pow.f64 (+.f64 x y) #s(literal 2 binary64)))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (*.f64 x y)))
(fma.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x y)) (*.f64 x (neg.f64 y)))
(fma.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x y)) (*.f64 (*.f64 x (neg.f64 y)) #s(literal 1 binary64)))
(fma.f64 (-.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x y (+.f64 x y))) (fma.f64 (neg.f64 y) x (*.f64 x y)))
(fma.f64 (-.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x y (+.f64 x y))) (fma.f64 (*.f64 x (neg.f64 y)) #s(literal 1 binary64) (*.f64 x y)))
(fma.f64 (-.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x y (+.f64 x y))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (*.f64 x y)))
(fma.f64 (neg.f64 x) y (+.f64 x y))
(fma.f64 (neg.f64 y) x (+.f64 x y))
(fma.f64 (neg.f64 (sqrt.f64 (*.f64 x y))) (sqrt.f64 (*.f64 x y)) (+.f64 x y))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 x (neg.f64 y))) (cbrt.f64 (*.f64 x (neg.f64 y)))) (cbrt.f64 (*.f64 x (neg.f64 y))) (+.f64 x y))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x))) (cbrt.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x)))) (cbrt.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x))) x)
(fma.f64 (sqrt.f64 (*.f64 x (neg.f64 y))) (sqrt.f64 (*.f64 x (neg.f64 y))) (+.f64 x y))
(fma.f64 (sqrt.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x))) x)
(fma.f64 #s(literal -1 binary64) (*.f64 x y) (+.f64 x y))
(fma.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 (*.f64 x y))) (-.f64 (sqrt.f64 y) (sqrt.f64 (*.f64 x y))) x)
(fma.f64 (+.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (*.f64 x y))) (-.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (*.f64 x y))) (fma.f64 (neg.f64 y) x (*.f64 x y)))
(fma.f64 (+.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (*.f64 x y))) (-.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (*.f64 x y))) (fma.f64 (*.f64 x (neg.f64 y)) #s(literal 1 binary64) (*.f64 x y)))
(fma.f64 (+.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (*.f64 x y))) (-.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (*.f64 x y))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (*.f64 x y)))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64))) (cbrt.f64 (*.f64 x y)) (+.f64 x y))
(fma.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) y (+.f64 x y))
(fma.f64 (*.f64 (neg.f64 x) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (+.f64 x y))
(fma.f64 (*.f64 (neg.f64 x) (sqrt.f64 y)) (sqrt.f64 y) (+.f64 x y))

simplify180.0ms (2.6%)

Algorithm
1×egg-herbie
Rules
695×times-frac
509×fma-neg
440×cancel-sign-sub-inv
311×unswap-sqr
281×distribute-lft-neg-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
054010741
1117510020
233509956
Stop Event
1×node limit
Counts
285 → 308
Calls
Call 1
Inputs
y
x
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x)))
x
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64))))
x
y
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y)))
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y)))
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y)))
y
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 1 binary64))))
y
(+.f64 y (*.f64 x (-.f64 #s(literal 1 binary64) y)))
(+.f64 y (*.f64 x (-.f64 #s(literal 1 binary64) y)))
(+.f64 y (*.f64 x (-.f64 #s(literal 1 binary64) y)))
(*.f64 x (-.f64 #s(literal 1 binary64) y))
(*.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) y))
(*.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) y))
(*.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) y))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) y)))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) y)))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) y)))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) y)))))
x
(+.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) x)))
(+.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) x)))
(+.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) x)))
(*.f64 y (-.f64 #s(literal 1 binary64) x))
(*.f64 y (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) x))
(*.f64 y (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) x))
(*.f64 y (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) x))
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))))
(-.f64 (exp.f64 (log1p.f64 (+.f64 x y))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 x y)) (/.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 x y)))
(*.f64 (+.f64 x y) #s(literal 1 binary64))
(*.f64 (+.f64 x y) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (+.f64 x y))
(*.f64 (cbrt.f64 (+.f64 x y)) (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (+.f64 x y)) (pow.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 2 binary64)) (cbrt.f64 (+.f64 x y)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y))) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (+.f64 x y)))
(*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)))
(*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x y)))
(*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 x y)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x y))) #s(literal 3 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (+.f64 x y))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (cbrt.f64 (+.f64 x y))) (cbrt.f64 (cbrt.f64 (+.f64 x y)))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x y))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 x y))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 x y))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (+.f64 x y)))
(*.f64 (pow.f64 (pow.f64 (+.f64 x y) #s(literal 3/2 binary64)) #s(literal 1/3 binary64)) (pow.f64 (pow.f64 (+.f64 x y) #s(literal 3/2 binary64)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (*.f64 (+.f64 x y) (sqrt.f64 (+.f64 x y))) #s(literal 1/3 binary64)) (pow.f64 (*.f64 (+.f64 x y) (sqrt.f64 (+.f64 x y))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (*.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (*.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) (sqrt.f64 (+.f64 x y))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (+.f64 x y)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 x y))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64))) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y y (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 x y))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (-.f64 x y))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (neg.f64 (-.f64 x y)))
(/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (-.f64 y x))
(pow.f64 (+.f64 x y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 x y)) #s(literal 2 binary64))
(pow.f64 (/.f64 (fma.f64 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64))) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 x y) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) #s(literal -1 binary64))
(sqrt.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 x y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 x y))))
(log.f64 (*.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (expm1.f64 y))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (exp.f64 y)))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (+.f64 #s(literal 1 binary64) (expm1.f64 y))))
(log.f64 (*.f64 (exp.f64 y) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 y)) (exp.f64 x)))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 y)) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(cbrt.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 x y)))
(log1p.f64 (expm1.f64 (+.f64 x y)))
(exp.f64 (log.f64 (+.f64 x y)))
(exp.f64 (*.f64 (log.f64 (+.f64 x y)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 x y))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (+.f64 x y))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 x y))) #s(literal 2 binary64)))
(fma.f64 x #s(literal 1 binary64) y)
(fma.f64 y #s(literal 1 binary64) x)
(fma.f64 #s(literal 1 binary64) x y)
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(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 y (-.f64 #s(literal 1 binary64) x) x)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 y (-.f64 #s(literal 1 binary64) x) x)) (fma.f64 (*.f64 x (neg.f64 y)) #s(literal 1 binary64) (*.f64 x y)))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 y (-.f64 #s(literal 1 binary64) x) x)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 y (-.f64 #s(literal 1 binary64) x) x)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (*.f64 x y)))
(fma.f64 (cbrt.f64 (+.f64 x y)) (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 2 binary64)) (*.f64 x (neg.f64 y)))
(fma.f64 (cbrt.f64 (+.f64 x y)) (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 2 binary64)) (*.f64 (*.f64 x (neg.f64 y)) #s(literal 1 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 2 binary64)) (cbrt.f64 (+.f64 x y)) (*.f64 x (neg.f64 y)))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 2 binary64)) (cbrt.f64 (+.f64 x y)) (*.f64 (*.f64 x (neg.f64 y)) #s(literal 1 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 (*.f64 x y))) (+.f64 x y))
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 y (-.f64 #s(literal 1 binary64) x)))
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (*.f64 y (-.f64 #s(literal 1 binary64) x)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (*.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))
(fma.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (-.f64 x (*.f64 x y)))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 y) (-.f64 x (*.f64 x y)))
(fma.f64 (sqrt.f64 (fma.f64 y (-.f64 #s(literal 1 binary64) x) x)) (sqrt.f64 (fma.f64 y (-.f64 #s(literal 1 binary64) x) x)) (fma.f64 (neg.f64 y) x (*.f64 x y)))
(fma.f64 (sqrt.f64 (fma.f64 y (-.f64 #s(literal 1 binary64) x) x)) (sqrt.f64 (fma.f64 y (-.f64 #s(literal 1 binary64) x) x)) (fma.f64 (*.f64 x (neg.f64 y)) #s(literal 1 binary64) (*.f64 x y)))
(fma.f64 (sqrt.f64 (fma.f64 y (-.f64 #s(literal 1 binary64) x) x)) (sqrt.f64 (fma.f64 y (-.f64 #s(literal 1 binary64) x) x)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (*.f64 x y)))
(fma.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (+.f64 x y)) (*.f64 x (neg.f64 y)))
(fma.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (+.f64 x y)) (*.f64 (*.f64 x (neg.f64 y)) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 (*.f64 x y)) (neg.f64 (sqrt.f64 (*.f64 x y))) (+.f64 x y))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 y (-.f64 #s(literal 1 binary64) x)))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) (-.f64 x (*.f64 x y)))
(fma.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64)))) (*.f64 x (neg.f64 y)))
(fma.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64)))) (*.f64 (*.f64 x (neg.f64 y)) #s(literal 1 binary64)))
(fma.f64 (-.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x y) (fma.f64 x y (+.f64 x y)) (pow.f64 (+.f64 x y) #s(literal 2 binary64)))) (fma.f64 (neg.f64 y) x (*.f64 x y)))
(fma.f64 (-.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x y) (fma.f64 x y (+.f64 x y)) (pow.f64 (+.f64 x y) #s(literal 2 binary64)))) (fma.f64 (*.f64 x (neg.f64 y)) #s(literal 1 binary64) (*.f64 x y)))
(fma.f64 (-.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x y) (fma.f64 x y (+.f64 x y)) (pow.f64 (+.f64 x y) #s(literal 2 binary64)))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (*.f64 x y)))
(fma.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x y)) (*.f64 x (neg.f64 y)))
(fma.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x y)) (*.f64 (*.f64 x (neg.f64 y)) #s(literal 1 binary64)))
(fma.f64 (-.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x y (+.f64 x y))) (fma.f64 (neg.f64 y) x (*.f64 x y)))
(fma.f64 (-.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x y (+.f64 x y))) (fma.f64 (*.f64 x (neg.f64 y)) #s(literal 1 binary64) (*.f64 x y)))
(fma.f64 (-.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x y (+.f64 x y))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (*.f64 x y)))
(fma.f64 (neg.f64 x) y (+.f64 x y))
(fma.f64 (neg.f64 y) x (+.f64 x y))
(fma.f64 (neg.f64 (sqrt.f64 (*.f64 x y))) (sqrt.f64 (*.f64 x y)) (+.f64 x y))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 x (neg.f64 y))) (cbrt.f64 (*.f64 x (neg.f64 y)))) (cbrt.f64 (*.f64 x (neg.f64 y))) (+.f64 x y))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x))) (cbrt.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x)))) (cbrt.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x))) x)
(fma.f64 (sqrt.f64 (*.f64 x (neg.f64 y))) (sqrt.f64 (*.f64 x (neg.f64 y))) (+.f64 x y))
(fma.f64 (sqrt.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x))) x)
(fma.f64 #s(literal -1 binary64) (*.f64 x y) (+.f64 x y))
(fma.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 (*.f64 x y))) (-.f64 (sqrt.f64 y) (sqrt.f64 (*.f64 x y))) x)
(fma.f64 (+.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (*.f64 x y))) (-.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (*.f64 x y))) (fma.f64 (neg.f64 y) x (*.f64 x y)))
(fma.f64 (+.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (*.f64 x y))) (-.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (*.f64 x y))) (fma.f64 (*.f64 x (neg.f64 y)) #s(literal 1 binary64) (*.f64 x y)))
(fma.f64 (+.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (*.f64 x y))) (-.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (*.f64 x y))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (*.f64 x y)))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64))) (cbrt.f64 (*.f64 x y)) (+.f64 x y))
(fma.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) y (+.f64 x y))
(fma.f64 (*.f64 (neg.f64 x) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (+.f64 x y))
(fma.f64 (*.f64 (neg.f64 x) (sqrt.f64 y)) (sqrt.f64 y) (+.f64 x y))
Outputs
y
x
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x)))
x
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64))))
(*.f64 (neg.f64 x) (fma.f64 #s(literal -1 binary64) (/.f64 y x) #s(literal -1 binary64)))
(*.f64 x (neg.f64 (fma.f64 (/.f64 y x) #s(literal -1 binary64) #s(literal -1 binary64))))
(*.f64 x (neg.f64 (-.f64 #s(literal -1 binary64) (/.f64 y x))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64))))
(*.f64 (neg.f64 x) (fma.f64 #s(literal -1 binary64) (/.f64 y x) #s(literal -1 binary64)))
(*.f64 x (neg.f64 (fma.f64 (/.f64 y x) #s(literal -1 binary64) #s(literal -1 binary64))))
(*.f64 x (neg.f64 (-.f64 #s(literal -1 binary64) (/.f64 y x))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64))))
(*.f64 (neg.f64 x) (fma.f64 #s(literal -1 binary64) (/.f64 y x) #s(literal -1 binary64)))
(*.f64 x (neg.f64 (fma.f64 (/.f64 y x) #s(literal -1 binary64) #s(literal -1 binary64))))
(*.f64 x (neg.f64 (-.f64 #s(literal -1 binary64) (/.f64 y x))))
x
y
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y)))
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y)))
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y)))
y
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 1 binary64))))
(*.f64 (neg.f64 y) (fma.f64 #s(literal -1 binary64) (/.f64 x y) #s(literal -1 binary64)))
(*.f64 y (neg.f64 (fma.f64 #s(literal -1 binary64) (/.f64 x y) #s(literal -1 binary64))))
(*.f64 y (neg.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y))))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 1 binary64))))
(*.f64 (neg.f64 y) (fma.f64 #s(literal -1 binary64) (/.f64 x y) #s(literal -1 binary64)))
(*.f64 y (neg.f64 (fma.f64 #s(literal -1 binary64) (/.f64 x y) #s(literal -1 binary64))))
(*.f64 y (neg.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y))))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 1 binary64))))
(*.f64 (neg.f64 y) (fma.f64 #s(literal -1 binary64) (/.f64 x y) #s(literal -1 binary64)))
(*.f64 y (neg.f64 (fma.f64 #s(literal -1 binary64) (/.f64 x y) #s(literal -1 binary64))))
(*.f64 y (neg.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y))))
y
(+.f64 y (*.f64 x (-.f64 #s(literal 1 binary64) y)))
(fma.f64 y (-.f64 #s(literal 1 binary64) x) x)
(+.f64 y (*.f64 x (-.f64 #s(literal 1 binary64) y)))
(fma.f64 y (-.f64 #s(literal 1 binary64) x) x)
(+.f64 y (*.f64 x (-.f64 #s(literal 1 binary64) y)))
(fma.f64 y (-.f64 #s(literal 1 binary64) x) x)
(*.f64 x (-.f64 #s(literal 1 binary64) y))
(*.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) y))
(*.f64 x (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 y x) y)))
(*.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) y))
(*.f64 x (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 y x) y)))
(*.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) y))
(*.f64 x (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 y x) y)))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) y)))
(*.f64 x (-.f64 #s(literal 1 binary64) y))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) y)))))
(*.f64 x (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 y x) y)))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) y)))))
(*.f64 x (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 y x) y)))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) y)))))
(*.f64 x (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 y x) y)))
x
(+.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) x)))
(+.f64 y (*.f64 x (-.f64 #s(literal 1 binary64) y)))
(fma.f64 y (-.f64 #s(literal 1 binary64) x) x)
(+.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) x)))
(+.f64 y (*.f64 x (-.f64 #s(literal 1 binary64) y)))
(fma.f64 y (-.f64 #s(literal 1 binary64) x) x)
(+.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) x)))
(+.f64 y (*.f64 x (-.f64 #s(literal 1 binary64) y)))
(fma.f64 y (-.f64 #s(literal 1 binary64) x) x)
(*.f64 y (-.f64 #s(literal 1 binary64) x))
(*.f64 y (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) x))
(*.f64 y (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 x y) x)))
(*.f64 y (+.f64 (/.f64 x y) (-.f64 #s(literal 1 binary64) x)))
(*.f64 y (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) x))
(*.f64 y (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 x y) x)))
(*.f64 y (+.f64 (/.f64 x y) (-.f64 #s(literal 1 binary64) x)))
(*.f64 y (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) x))
(*.f64 y (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 x y) x)))
(*.f64 y (+.f64 (/.f64 x y) (-.f64 #s(literal 1 binary64) x)))
(*.f64 y (+.f64 #s(literal 1 binary64) (*.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) (/.f64 x y)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))))
(*.f64 y (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 x y) x)))
(*.f64 y (+.f64 (/.f64 x y) (-.f64 #s(literal 1 binary64) x)))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))))
(*.f64 y (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 x y) x)))
(*.f64 y (+.f64 (/.f64 x y) (-.f64 #s(literal 1 binary64) x)))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))))
(*.f64 y (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 x y) x)))
(*.f64 y (+.f64 (/.f64 x y) (-.f64 #s(literal 1 binary64) x)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 x y))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (+.f64 y x)))
(-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 x y)) (/.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 x y)))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (-.f64 x y))
(*.f64 (+.f64 x y) #s(literal 1 binary64))
(+.f64 y x)
(*.f64 (+.f64 x y) (log.f64 (exp.f64 #s(literal 1 binary64))))
(+.f64 y x)
(*.f64 #s(literal 1 binary64) (+.f64 x y))
(+.f64 y x)
(*.f64 (cbrt.f64 (+.f64 x y)) (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 2 binary64)))
(+.f64 y x)
(*.f64 (cbrt.f64 (+.f64 x y)) (pow.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) #s(literal 1/3 binary64)))
(*.f64 (cbrt.f64 (+.f64 y x)) (cbrt.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 2 binary64)) (cbrt.f64 (+.f64 x y)))
(+.f64 y x)
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 y x)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 y x))) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (+.f64 x y)))
(+.f64 y x)
(*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64))))
(*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)))
(*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64))))
(*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x y)))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (-.f64 x y))
(*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 x y)) #s(literal 1 binary64)))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (-.f64 x y))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x y))) #s(literal 3 binary64)))
(+.f64 y x)
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (+.f64 x y))
(+.f64 y x)
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(fma.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64)))) (*.f64 x (neg.f64 y)))
(-.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64)))) (*.f64 y x))
(fma.f64 (-.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x y) (fma.f64 x y (+.f64 x y)) (pow.f64 (+.f64 x y) #s(literal 2 binary64)))) (fma.f64 (neg.f64 y) x (*.f64 x y)))
(fma.f64 (-.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y x) (fma.f64 x y (+.f64 y x)) (pow.f64 (+.f64 y x) #s(literal 2 binary64)))) (fma.f64 (neg.f64 y) x (*.f64 y x)))
(+.f64 (*.f64 x (+.f64 (neg.f64 y) y)) (/.f64 (-.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) (fma.f64 (*.f64 y x) (fma.f64 y x (+.f64 y x)) (pow.f64 (+.f64 y x) #s(literal 2 binary64)))))
(fma.f64 (-.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x y) (fma.f64 x y (+.f64 x y)) (pow.f64 (+.f64 x y) #s(literal 2 binary64)))) (fma.f64 (*.f64 x (neg.f64 y)) #s(literal 1 binary64) (*.f64 x y)))
(fma.f64 (-.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y x) (fma.f64 x y (+.f64 y x)) (pow.f64 (+.f64 y x) #s(literal 2 binary64)))) (fma.f64 (neg.f64 y) x (*.f64 y x)))
(+.f64 (*.f64 x (+.f64 (neg.f64 y) y)) (/.f64 (-.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) (fma.f64 (*.f64 y x) (fma.f64 y x (+.f64 y x)) (pow.f64 (+.f64 y x) #s(literal 2 binary64)))))
(fma.f64 (-.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x y) (fma.f64 x y (+.f64 x y)) (pow.f64 (+.f64 x y) #s(literal 2 binary64)))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (*.f64 x y)))
(fma.f64 (-.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y x) (fma.f64 x y (+.f64 y x)) (pow.f64 (+.f64 y x) #s(literal 2 binary64)))) (fma.f64 (neg.f64 y) x (*.f64 y x)))
(+.f64 (*.f64 x (+.f64 (neg.f64 y) y)) (/.f64 (-.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) (fma.f64 (*.f64 y x) (fma.f64 y x (+.f64 y x)) (pow.f64 (+.f64 y x) #s(literal 2 binary64)))))
(fma.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x y)) (*.f64 x (neg.f64 y)))
(-.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (-.f64 x y)) (*.f64 y x))
(fma.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x y)) (*.f64 (*.f64 x (neg.f64 y)) #s(literal 1 binary64)))
(fma.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x y)) (*.f64 x (neg.f64 y)))
(-.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (-.f64 x y)) (*.f64 y x))
(fma.f64 (-.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x y (+.f64 x y))) (fma.f64 (neg.f64 y) x (*.f64 x y)))
(fma.f64 (-.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x y (+.f64 y x))) (fma.f64 (neg.f64 y) x (*.f64 y x)))
(+.f64 (*.f64 x (+.f64 (neg.f64 y) y)) (/.f64 (-.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (fma.f64 y x (+.f64 y x))))
(fma.f64 (-.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x y (+.f64 x y))) (fma.f64 (*.f64 x (neg.f64 y)) #s(literal 1 binary64) (*.f64 x y)))
(fma.f64 (-.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x y (+.f64 y x))) (fma.f64 (neg.f64 y) x (*.f64 y x)))
(+.f64 (*.f64 x (+.f64 (neg.f64 y) y)) (/.f64 (-.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (fma.f64 y x (+.f64 y x))))
(fma.f64 (-.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x y (+.f64 x y))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (*.f64 x y)))
(fma.f64 (-.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x y (+.f64 y x))) (fma.f64 (neg.f64 y) x (*.f64 y x)))
(+.f64 (*.f64 x (+.f64 (neg.f64 y) y)) (/.f64 (-.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (fma.f64 y x (+.f64 y x))))
(fma.f64 (neg.f64 x) y (+.f64 x y))
(+.f64 y (*.f64 x (-.f64 #s(literal 1 binary64) y)))
(fma.f64 y (-.f64 #s(literal 1 binary64) x) x)
(fma.f64 (neg.f64 y) x (+.f64 x y))
(+.f64 y (*.f64 x (-.f64 #s(literal 1 binary64) y)))
(fma.f64 y (-.f64 #s(literal 1 binary64) x) x)
(fma.f64 (neg.f64 (sqrt.f64 (*.f64 x y))) (sqrt.f64 (*.f64 x y)) (+.f64 x y))
(+.f64 y (*.f64 x (-.f64 #s(literal 1 binary64) y)))
(fma.f64 y (-.f64 #s(literal 1 binary64) x) x)
(fma.f64 (*.f64 (cbrt.f64 (*.f64 x (neg.f64 y))) (cbrt.f64 (*.f64 x (neg.f64 y)))) (cbrt.f64 (*.f64 x (neg.f64 y))) (+.f64 x y))
(+.f64 y (*.f64 x (-.f64 #s(literal 1 binary64) y)))
(fma.f64 y (-.f64 #s(literal 1 binary64) x) x)
(fma.f64 (*.f64 (cbrt.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x))) (cbrt.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x)))) (cbrt.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x))) x)
(+.f64 y (*.f64 x (-.f64 #s(literal 1 binary64) y)))
(fma.f64 y (-.f64 #s(literal 1 binary64) x) x)
(fma.f64 (sqrt.f64 (*.f64 x (neg.f64 y))) (sqrt.f64 (*.f64 x (neg.f64 y))) (+.f64 x y))
(+.f64 y (*.f64 x (-.f64 #s(literal 1 binary64) y)))
(fma.f64 y (-.f64 #s(literal 1 binary64) x) x)
(fma.f64 (sqrt.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x))) x)
(+.f64 y (*.f64 x (-.f64 #s(literal 1 binary64) y)))
(fma.f64 y (-.f64 #s(literal 1 binary64) x) x)
(fma.f64 #s(literal -1 binary64) (*.f64 x y) (+.f64 x y))
(+.f64 y (*.f64 x (-.f64 #s(literal 1 binary64) y)))
(fma.f64 y (-.f64 #s(literal 1 binary64) x) x)
(fma.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 (*.f64 x y))) (-.f64 (sqrt.f64 y) (sqrt.f64 (*.f64 x y))) x)
(+.f64 y (*.f64 x (-.f64 #s(literal 1 binary64) y)))
(fma.f64 y (-.f64 #s(literal 1 binary64) x) x)
(fma.f64 (+.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (*.f64 x y))) (-.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (*.f64 x y))) (fma.f64 (neg.f64 y) x (*.f64 x y)))
(+.f64 (fma.f64 y (-.f64 #s(literal 1 binary64) x) x) (fma.f64 (neg.f64 y) x (*.f64 y x)))
(+.f64 (fma.f64 y (-.f64 #s(literal 1 binary64) x) x) (*.f64 x (+.f64 (neg.f64 y) y)))
(fma.f64 (+.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (*.f64 x y))) (-.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (*.f64 x y))) (fma.f64 (*.f64 x (neg.f64 y)) #s(literal 1 binary64) (*.f64 x y)))
(+.f64 (fma.f64 y (-.f64 #s(literal 1 binary64) x) x) (fma.f64 (neg.f64 y) x (*.f64 y x)))
(+.f64 (fma.f64 y (-.f64 #s(literal 1 binary64) x) x) (*.f64 x (+.f64 (neg.f64 y) y)))
(fma.f64 (+.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (*.f64 x y))) (-.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (*.f64 x y))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (*.f64 x y)))
(+.f64 (fma.f64 y (-.f64 #s(literal 1 binary64) x) x) (fma.f64 (neg.f64 y) x (*.f64 y x)))
(+.f64 (fma.f64 y (-.f64 #s(literal 1 binary64) x) x) (*.f64 x (+.f64 (neg.f64 y) y)))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64))) (cbrt.f64 (*.f64 x y)) (+.f64 x y))
(+.f64 y (*.f64 x (-.f64 #s(literal 1 binary64) y)))
(fma.f64 y (-.f64 #s(literal 1 binary64) x) x)
(fma.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) y (+.f64 x y))
(+.f64 y (*.f64 x (-.f64 #s(literal 1 binary64) y)))
(fma.f64 y (-.f64 #s(literal 1 binary64) x) x)
(fma.f64 (*.f64 (neg.f64 x) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (+.f64 x y))
(+.f64 y (*.f64 x (-.f64 #s(literal 1 binary64) y)))
(fma.f64 y (-.f64 #s(literal 1 binary64) x) x)
(fma.f64 (*.f64 (neg.f64 x) (sqrt.f64 y)) (sqrt.f64 y) (+.f64 x y))
(+.f64 y (*.f64 x (-.f64 #s(literal 1 binary64) y)))
(fma.f64 y (-.f64 #s(literal 1 binary64) x) x)

eval38.0ms (0.5%)

Compiler

Compiled 4913 to 789 computations (83.9% saved)

prune97.0ms (1.4%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New3062308
Fresh000
Picked011
Done000
Total3063309
Accuracy
100.0%
Counts
309 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(-.f64 (+.f64 x y) (*.f64 x y))
▶61.3%
(-.f64 y (*.f64 x y))
▶66.2%
(-.f64 x (*.f64 x y))
Compiler

Compiled 23 to 13 computations (43.5% saved)

simplify26.0ms (0.4%)

Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 x y)
✓cost-diff0
(-.f64 y (*.f64 x y))
cost-diff0
(*.f64 x y)
✓cost-diff0
(-.f64 x (*.f64 x y))
Rules
140×fma-neg
139×fma-define
28×sub-neg
24×distribute-rgt-in
24×cancel-sign-sub-inv
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
01086
11986
23685
37482
412280
524480
645780
761980
867980
968480
Stop Event
1×saturated
Calls
Call 1
Inputs
(-.f64 x (*.f64 x y))
x
(*.f64 x y)
y
(-.f64 y (*.f64 x y))
y
(*.f64 x y)
x
Outputs
(-.f64 x (*.f64 x y))
(fma.f64 x (neg.f64 y) x)
(*.f64 x (fma.f64 #s(literal -1 binary64) y #s(literal 1 binary64)))
(*.f64 x (-.f64 #s(literal 1 binary64) y))
x
(*.f64 x y)
y
(-.f64 y (*.f64 x y))
(*.f64 y (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)))
(*.f64 y (-.f64 #s(literal 1 binary64) x))
y
(*.f64 x y)
x

localize27.0ms (0.4%)

Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(-.f64 y (*.f64 x y))
accuracy100.0%
(*.f64 x y)
accuracy100.0%
(*.f64 x y)
✓accuracy100.0%
(-.f64 x (*.f64 x y))
Results
16.0ms256×0valid
Compiler

Compiled 23 to 6 computations (73.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-sub: 2.0ms (38.5% of total)
ival-mult: 2.0ms (38.5% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series3.0ms (0%)

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

12 calls:

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

rewrite114.0ms (1.6%)

Algorithm
1×batch-egg-rewrite
Rules
722×log1p-expm1-u
722×expm1-log1p-u
631×unpow-prod-down
437×fma-define
346×log-prod
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01044
113038
2197638
Stop Event
1×node limit
Counts
2 → 258
Calls
Call 1
Inputs
(-.f64 x (*.f64 x y))
(-.f64 y (*.f64 x y))
Outputs
(+.f64 x (*.f64 x (neg.f64 y)))
(+.f64 x (*.f64 (*.f64 x (neg.f64 y)) #s(literal 1 binary64)))
(+.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) (fma.f64 (neg.f64 x) y (*.f64 x y)))
(+.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) (fma.f64 (*.f64 x (neg.f64 y)) #s(literal 1 binary64) (*.f64 x y)))
(+.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (*.f64 x y)))
(+.f64 (*.f64 x (neg.f64 y)) x)
(+.f64 #s(literal 0 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) y)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) y))) (cbrt.f64 (pow.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) y))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) y)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) y)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) y)))))
(*.f64 x (-.f64 #s(literal 1 binary64) y))
(*.f64 x (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)))
(*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64))
(*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) (log.f64 (exp.f64 #s(literal 1 binary64))))
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(fma.f64 (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)) y (fma.f64 (neg.f64 x) y (*.f64 x y)))
(fma.f64 (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)) y (fma.f64 (*.f64 x (neg.f64 y)) #s(literal 1 binary64) (*.f64 x y)))
(fma.f64 (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)) y (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (*.f64 x y)))
(fma.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) y y)
(fma.f64 (*.f64 (neg.f64 x) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) y)
(fma.f64 (*.f64 (neg.f64 x) (sqrt.f64 y)) (sqrt.f64 y) y)

simplify192.0ms (2.7%)

Algorithm
1×egg-herbie
Rules
506×times-frac
461×distribute-lft-in
408×distribute-rgt-in
257×unswap-sqr
206×fma-neg
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
05209768
110719456
229499296
Stop Event
1×node limit
Counts
306 → 292
Calls
Call 1
Inputs
(*.f64 x (-.f64 #s(literal 1 binary64) y))
(*.f64 x (-.f64 #s(literal 1 binary64) y))
(*.f64 x (-.f64 #s(literal 1 binary64) y))
(*.f64 x (-.f64 #s(literal 1 binary64) y))
(*.f64 x (-.f64 #s(literal 1 binary64) y))
(*.f64 x (-.f64 #s(literal 1 binary64) y))
(*.f64 x (-.f64 #s(literal 1 binary64) y))
(*.f64 x (-.f64 #s(literal 1 binary64) y))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) y)))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) y)))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) y)))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) y)))
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 x y) x))
(*.f64 y (-.f64 (/.f64 x y) x))
(*.f64 y (-.f64 (/.f64 x y) x))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 #s(literal -1 binary64) x))))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 #s(literal -1 binary64) x))))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x 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) (*.f64 #s(literal -1 binary64) x)))
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))
y
(+.f64 y (*.f64 #s(literal -1 binary64) (*.f64 x y)))
(+.f64 y (*.f64 #s(literal -1 binary64) (*.f64 x y)))
(+.f64 y (*.f64 #s(literal -1 binary64) (*.f64 x y)))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 x (-.f64 (/.f64 y x) y))
(*.f64 x (-.f64 (/.f64 y x) y))
(*.f64 x (-.f64 (/.f64 y x) y))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) (*.f64 #s(literal -1 binary64) y))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) (*.f64 #s(literal -1 binary64) y))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) (*.f64 #s(literal -1 binary64) y))))
(+.f64 x (*.f64 x (neg.f64 y)))
(+.f64 x (*.f64 (*.f64 x (neg.f64 y)) #s(literal 1 binary64)))
(+.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) (fma.f64 (neg.f64 x) y (*.f64 x y)))
(+.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) (fma.f64 (*.f64 x (neg.f64 y)) #s(literal 1 binary64) (*.f64 x y)))
(+.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (*.f64 x y)))
(+.f64 (*.f64 x (neg.f64 y)) x)
(+.f64 #s(literal 0 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) y)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) y))) (cbrt.f64 (pow.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) y))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) y)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) y)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) y)))))
(*.f64 x (-.f64 #s(literal 1 binary64) y))
(*.f64 x (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)))
(*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64))
(*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (*.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 (cbrt.f64 (*.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 1/3 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 (pow.f64 (cbrt.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y))) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)))) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y))) (sqrt.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y))))
(*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x y) (fma.f64 x y x) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x y) (fma.f64 x y x) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)))
(*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x y x)))
(*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x y x)) #s(literal 1 binary64)))
(*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 x y))) (-.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 x y))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (*.f64 x (-.f64 #s(literal 1 binary64) y)))
(*.f64 (pow.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 x y))) #s(literal 1 binary64)) (pow.f64 (-.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 x y))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y))) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)))) (cbrt.f64 (cbrt.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y))))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)))) #s(literal 3 binary64)))
(*.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 (pow.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y))))
(*.f64 (pow.f64 (*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) (sqrt.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)))) #s(literal 1/3 binary64)) (pow.f64 (*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) (sqrt.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)))) #s(literal 1/3 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)) (pow.f64 (cbrt.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y))) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (pow.f64 (cbrt.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)) (sqrt.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y))) #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)))) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 x y) (fma.f64 x y x) (pow.f64 x #s(literal 2 binary64))) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x y x) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64))) (fma.f64 (*.f64 x y) (fma.f64 x y x) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (fma.f64 x y x))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 x y) (fma.f64 x y x) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))) (neg.f64 (fma.f64 x y x)))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 x (neg.f64 y)) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (*.f64 (*.f64 x (neg.f64 y)) (*.f64 x (neg.f64 y))) (*.f64 x (*.f64 x (neg.f64 y))))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (*.f64 x (neg.f64 y)) (*.f64 x (neg.f64 y)))) (-.f64 x (*.f64 x (neg.f64 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 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 (/.f64 (fma.f64 (*.f64 x y) (fma.f64 x y x) (pow.f64 x #s(literal 2 binary64))) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 x y x) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))) #s(literal -1 binary64))
(sqrt.f64 (pow.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)))))
(log.f64 (*.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 y) x))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 y) x))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (exp.f64 (*.f64 x (neg.f64 y)))))
(log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 y) x)) (exp.f64 x)))
(log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 y) x)) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(log.f64 (*.f64 (exp.f64 (*.f64 x (neg.f64 y))) (exp.f64 x)))
(log.f64 (*.f64 (exp.f64 (*.f64 x (neg.f64 y))) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(log.f64 (/.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x y)))))
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (pow.f64 (exp.f64 y) x)))
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x y)))))
(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 (log.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64)))
(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) (log.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)))) #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 (*.f64 x (neg.f64 y)) #s(literal 1 binary64)))
(fma.f64 x (neg.f64 y) x)
(fma.f64 x (-.f64 #s(literal 1 binary64) y) (fma.f64 (neg.f64 x) y (*.f64 x y)))
(fma.f64 x (-.f64 #s(literal 1 binary64) y) (fma.f64 (*.f64 x (neg.f64 y)) #s(literal 1 binary64) (*.f64 x y)))
(fma.f64 x (-.f64 #s(literal 1 binary64) y) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (*.f64 x y)))
(fma.f64 y (neg.f64 x) x)
(fma.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64) (fma.f64 (neg.f64 x) y (*.f64 x y)))
(fma.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64) (fma.f64 (*.f64 x (neg.f64 y)) #s(literal 1 binary64) (*.f64 x y)))
(fma.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (*.f64 x y)))
(fma.f64 #s(literal 1 binary64) x (*.f64 x (neg.f64 y)))
(fma.f64 #s(literal 1 binary64) x (*.f64 (*.f64 x (neg.f64 y)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) y)) (fma.f64 (neg.f64 x) y (*.f64 x y)))
(fma.f64 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) y)) (fma.f64 (*.f64 x (neg.f64 y)) #s(literal 1 binary64) (*.f64 x y)))
(fma.f64 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) y)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (*.f64 x y)))
(fma.f64 #s(literal 1 binary64) (*.f64 x (neg.f64 y)) x)
(fma.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)) (fma.f64 (neg.f64 x) y (*.f64 x y)))
(fma.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)) (fma.f64 (*.f64 x (neg.f64 y)) #s(literal 1 binary64) (*.f64 x y)))
(fma.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)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (*.f64 x y)))
(fma.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))) (fma.f64 (neg.f64 x) y (*.f64 x y)))
(fma.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))) (fma.f64 (*.f64 x (neg.f64 y)) #s(literal 1 binary64) (*.f64 x y)))
(fma.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))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (*.f64 x y)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 (*.f64 x y))) x)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 x (neg.f64 y)))
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(fma.f64 (pow.f64 (cbrt.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x))) (fma.f64 (neg.f64 x) y (*.f64 x y)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x))) (fma.f64 (*.f64 x (neg.f64 y)) #s(literal 1 binary64) (*.f64 x y)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (*.f64 x y)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 (*.f64 x y))) y)
(fma.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 x (neg.f64 y)))
(fma.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (*.f64 x (neg.f64 y)) #s(literal 1 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 y) (*.f64 x (neg.f64 y)))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 y) (*.f64 (*.f64 x (neg.f64 y)) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x))) (fma.f64 (neg.f64 x) y (*.f64 x y)))
(fma.f64 (sqrt.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x))) (fma.f64 (*.f64 x (neg.f64 y)) #s(literal 1 binary64) (*.f64 x y)))
(fma.f64 (sqrt.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (*.f64 x y)))
(fma.f64 (sqrt.f64 (*.f64 x y)) (neg.f64 (sqrt.f64 (*.f64 x y))) y)
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) (*.f64 x (neg.f64 y)))
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) (*.f64 (*.f64 x (neg.f64 y)) #s(literal 1 binary64)))
(fma.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x y) (fma.f64 x y y) (pow.f64 y #s(literal 2 binary64)))) (fma.f64 (neg.f64 x) y (*.f64 x y)))
(fma.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x y) (fma.f64 x y y) (pow.f64 y #s(literal 2 binary64)))) (fma.f64 (*.f64 x (neg.f64 y)) #s(literal 1 binary64) (*.f64 x y)))
(fma.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x y) (fma.f64 x y y) (pow.f64 y #s(literal 2 binary64)))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (*.f64 x y)))
(fma.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x y y)) (fma.f64 (neg.f64 x) y (*.f64 x y)))
(fma.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x y y)) (fma.f64 (*.f64 x (neg.f64 y)) #s(literal 1 binary64) (*.f64 x y)))
(fma.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x y y)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (*.f64 x y)))
(fma.f64 (neg.f64 x) y y)
(fma.f64 (neg.f64 y) x y)
(fma.f64 (neg.f64 (sqrt.f64 (*.f64 x y))) (sqrt.f64 (*.f64 x y)) y)
(fma.f64 (*.f64 (cbrt.f64 (*.f64 x (neg.f64 y))) (cbrt.f64 (*.f64 x (neg.f64 y)))) (cbrt.f64 (*.f64 x (neg.f64 y))) y)
(fma.f64 (sqrt.f64 (*.f64 x (neg.f64 y))) (sqrt.f64 (*.f64 x (neg.f64 y))) y)
(fma.f64 #s(literal -1 binary64) (*.f64 x y) y)
(fma.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 (*.f64 x y))) (-.f64 (sqrt.f64 y) (sqrt.f64 (*.f64 x y))) (fma.f64 (neg.f64 x) y (*.f64 x y)))
(fma.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 (*.f64 x y))) (-.f64 (sqrt.f64 y) (sqrt.f64 (*.f64 x y))) (fma.f64 (*.f64 x (neg.f64 y)) #s(literal 1 binary64) (*.f64 x y)))
(fma.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 (*.f64 x y))) (-.f64 (sqrt.f64 y) (sqrt.f64 (*.f64 x y))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (*.f64 x y)))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64))) (cbrt.f64 (*.f64 x y)) y)
(fma.f64 (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)) y (fma.f64 (neg.f64 x) y (*.f64 x y)))
(fma.f64 (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)) y (fma.f64 (*.f64 x (neg.f64 y)) #s(literal 1 binary64) (*.f64 x y)))
(fma.f64 (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)) y (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (*.f64 x y)))
(fma.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) y y)
(fma.f64 (*.f64 (neg.f64 x) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) y)
(fma.f64 (*.f64 (neg.f64 x) (sqrt.f64 y)) (sqrt.f64 y) y)
Outputs
(*.f64 x (-.f64 #s(literal 1 binary64) y))
(*.f64 x (-.f64 #s(literal 1 binary64) y))
(*.f64 x (-.f64 #s(literal 1 binary64) y))
(*.f64 x (-.f64 #s(literal 1 binary64) y))
(*.f64 x (-.f64 #s(literal 1 binary64) y))
(*.f64 x (-.f64 #s(literal 1 binary64) y))
(*.f64 x (-.f64 #s(literal 1 binary64) y))
(*.f64 x (-.f64 #s(literal 1 binary64) y))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) y)))
(*.f64 x (-.f64 #s(literal 1 binary64) y))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) y)))
(*.f64 x (-.f64 #s(literal 1 binary64) y))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) y)))
(*.f64 x (-.f64 #s(literal 1 binary64) y))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) y)))
(*.f64 x (-.f64 #s(literal 1 binary64) y))
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 x (neg.f64 y))
(*.f64 y (-.f64 (/.f64 x y) x))
(*.f64 y (-.f64 (/.f64 x y) x))
(*.f64 y (-.f64 (/.f64 x y) x))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 x (neg.f64 y))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 #s(literal -1 binary64) x))))
(*.f64 y (-.f64 (/.f64 x y) x))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 #s(literal -1 binary64) x))))
(*.f64 y (-.f64 (/.f64 x y) x))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 #s(literal -1 binary64) x))))
(*.f64 y (-.f64 (/.f64 x 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) (*.f64 #s(literal -1 binary64) x)))
(*.f64 y (-.f64 #s(literal 1 binary64) x))
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))
(*.f64 y (-.f64 #s(literal 1 binary64) x))
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))
(*.f64 y (-.f64 #s(literal 1 binary64) x))
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))
(*.f64 y (-.f64 #s(literal 1 binary64) x))
y
(+.f64 y (*.f64 #s(literal -1 binary64) (*.f64 x y)))
(*.f64 y (-.f64 #s(literal 1 binary64) x))
(+.f64 y (*.f64 #s(literal -1 binary64) (*.f64 x y)))
(*.f64 y (-.f64 #s(literal 1 binary64) x))
(+.f64 y (*.f64 #s(literal -1 binary64) (*.f64 x y)))
(*.f64 y (-.f64 #s(literal 1 binary64) x))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 x (neg.f64 y))
(*.f64 x (-.f64 (/.f64 y x) y))
(*.f64 x (-.f64 (/.f64 y x) y))
(*.f64 x (-.f64 (/.f64 y x) y))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 x (neg.f64 y))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) (*.f64 #s(literal -1 binary64) y))))
(*.f64 x (-.f64 (/.f64 y x) y))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) (*.f64 #s(literal -1 binary64) y))))
(*.f64 x (-.f64 (/.f64 y x) y))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) (*.f64 #s(literal -1 binary64) y))))
(*.f64 x (-.f64 (/.f64 y x) y))
(+.f64 x (*.f64 x (neg.f64 y)))
(*.f64 x (-.f64 #s(literal 1 binary64) y))
(+.f64 x (*.f64 (*.f64 x (neg.f64 y)) #s(literal 1 binary64)))
(*.f64 x (-.f64 #s(literal 1 binary64) y))
(+.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) (fma.f64 (neg.f64 x) y (*.f64 x y)))
(*.f64 x (-.f64 #s(literal 1 binary64) y))
(+.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) (fma.f64 (*.f64 x (neg.f64 y)) #s(literal 1 binary64) (*.f64 x y)))
(*.f64 x (-.f64 #s(literal 1 binary64) y))
(+.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (*.f64 x y)))
(*.f64 x (-.f64 #s(literal 1 binary64) y))
(+.f64 (*.f64 x (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 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) y))) (cbrt.f64 (pow.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) y))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) y)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) y)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) y)))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) y)))))
(*.f64 x (-.f64 #s(literal 1 binary64) y))
(*.f64 x (pow.f64 (-.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)) #s(literal 1 binary64))
(*.f64 x (-.f64 #s(literal 1 binary64) y))
(*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) (log.f64 (exp.f64 #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 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 (cbrt.f64 (*.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 1/3 binary64)))
(*.f64 (cbrt.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y))) (cbrt.f64 (pow.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 x (-.f64 #s(literal 1 binary64) y))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y))) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)))) #s(literal 2 binary64)))
(*.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 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x y) (fma.f64 x y x) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64))) #s(literal 1 binary64)) (fma.f64 (*.f64 x y) (fma.f64 x y x) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64))) (fma.f64 (*.f64 x y) (fma.f64 x y x) (pow.f64 x #s(literal 2 binary64))))
(*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x y) (fma.f64 x y x) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64))) #s(literal 1 binary64)) (fma.f64 (*.f64 x y) (fma.f64 x y x) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64))) (fma.f64 (*.f64 x y) (fma.f64 x y x) (pow.f64 x #s(literal 2 binary64))))
(*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x y x)))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (fma.f64 x y x))
(*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x y x)) #s(literal 1 binary64)))
(*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x y x)))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (fma.f64 x y x))
(*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 x y))) (-.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 x 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 (+.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 x y))) #s(literal 1 binary64)) (pow.f64 (-.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 x y))) #s(literal 1 binary64)))
(*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 x y))) (-.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 x y))))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y))) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (cbrt.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 (cbrt.f64 (sqrt.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)))) #s(literal 3 binary64)))
(*.f64 x (-.f64 #s(literal 1 binary64) y))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)))) (cbrt.f64 (cbrt.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y))))) #s(literal 3 binary64)) (pow.f64 (cbrt.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 (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 (pow.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y))))
(*.f64 (cbrt.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y))) (cbrt.f64 (pow.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64))))
(*.f64 (pow.f64 (*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) (sqrt.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)))) #s(literal 1/3 binary64)) (pow.f64 (*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) (sqrt.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)))) #s(literal 1/3 binary64)))
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(*.f64 y (-.f64 #s(literal 1 binary64) x))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 x (neg.f64 y))) (cbrt.f64 (*.f64 x (neg.f64 y)))) (cbrt.f64 (*.f64 x (neg.f64 y))) y)
(*.f64 y (-.f64 #s(literal 1 binary64) x))
(fma.f64 (sqrt.f64 (*.f64 x (neg.f64 y))) (sqrt.f64 (*.f64 x (neg.f64 y))) y)
(*.f64 y (-.f64 #s(literal 1 binary64) x))
(fma.f64 #s(literal -1 binary64) (*.f64 x y) y)
(*.f64 y (-.f64 #s(literal 1 binary64) x))
(fma.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 (*.f64 x y))) (-.f64 (sqrt.f64 y) (sqrt.f64 (*.f64 x y))) (fma.f64 (neg.f64 x) y (*.f64 x y)))
(fma.f64 (+.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 y)) (-.f64 (sqrt.f64 y) (sqrt.f64 (*.f64 x y))) (fma.f64 (neg.f64 x) y (*.f64 x y)))
(fma.f64 (+.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 y)) (-.f64 (sqrt.f64 y) (sqrt.f64 (*.f64 x y))) (*.f64 #s(literal 0 binary64) (*.f64 x y)))
(fma.f64 (+.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 y)) (-.f64 (sqrt.f64 y) (sqrt.f64 (*.f64 x y))) #s(literal 0 binary64))
(fma.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 (*.f64 x y))) (-.f64 (sqrt.f64 y) (sqrt.f64 (*.f64 x y))) (fma.f64 (*.f64 x (neg.f64 y)) #s(literal 1 binary64) (*.f64 x y)))
(fma.f64 (+.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 y)) (-.f64 (sqrt.f64 y) (sqrt.f64 (*.f64 x y))) (fma.f64 (neg.f64 x) y (*.f64 x y)))
(fma.f64 (+.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 y)) (-.f64 (sqrt.f64 y) (sqrt.f64 (*.f64 x y))) (*.f64 #s(literal 0 binary64) (*.f64 x y)))
(fma.f64 (+.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 y)) (-.f64 (sqrt.f64 y) (sqrt.f64 (*.f64 x y))) #s(literal 0 binary64))
(fma.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 (*.f64 x y))) (-.f64 (sqrt.f64 y) (sqrt.f64 (*.f64 x y))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (*.f64 x y)))
(fma.f64 (+.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 y)) (-.f64 (sqrt.f64 y) (sqrt.f64 (*.f64 x y))) (fma.f64 (neg.f64 x) y (*.f64 x y)))
(fma.f64 (+.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 y)) (-.f64 (sqrt.f64 y) (sqrt.f64 (*.f64 x y))) (*.f64 #s(literal 0 binary64) (*.f64 x y)))
(fma.f64 (+.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 y)) (-.f64 (sqrt.f64 y) (sqrt.f64 (*.f64 x y))) #s(literal 0 binary64))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64))) (cbrt.f64 (*.f64 x y)) y)
(*.f64 y (-.f64 #s(literal 1 binary64) x))
(fma.f64 (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)) y (fma.f64 (neg.f64 x) y (*.f64 x y)))
(*.f64 y (-.f64 #s(literal 1 binary64) x))
(fma.f64 (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)) y (fma.f64 (*.f64 x (neg.f64 y)) #s(literal 1 binary64) (*.f64 x y)))
(*.f64 y (-.f64 #s(literal 1 binary64) x))
(fma.f64 (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)) y (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (*.f64 x y)))
(*.f64 y (-.f64 #s(literal 1 binary64) x))
(fma.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) y y)
(*.f64 y (-.f64 #s(literal 1 binary64) x))
(fma.f64 (*.f64 (neg.f64 x) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) y)
(*.f64 y (-.f64 #s(literal 1 binary64) x))
(fma.f64 (*.f64 (neg.f64 x) (sqrt.f64 y)) (sqrt.f64 y) y)
(*.f64 y (-.f64 #s(literal 1 binary64) x))

eval115.0ms (1.6%)

Compiler

Compiled 4822 to 647 computations (86.6% saved)

prune48.0ms (0.7%)

Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New3333336
Fresh000
Picked022
Done011
Total3336339
Accuracy
100.0%
Counts
339 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(-.f64 (+.f64 x y) (*.f64 x y))
✓61.3%
(-.f64 y (*.f64 x y))
✓66.2%
(-.f64 x (*.f64 x y))
▶28.8%
(*.f64 x (neg.f64 y))
▶35.8%
y
▶39.6%
x
Compiler

Compiled 35 to 21 computations (40% saved)

simplify12.0ms (0.2%)

Algorithm
1×egg-herbie
Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(neg.f64 y)
✓cost-diff0
(*.f64 x (neg.f64 y))
Rules
38×fma-define
9×sub-neg
6×distribute-lft-in
4×mul0-rgt
4×*-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01041
11741
22841
33941
45041
56741
69041
710741
811341
912541
Stop Event
1×saturated
Calls
Call 1
Inputs
x
y
(*.f64 x (neg.f64 y))
x
(neg.f64 y)
y
Outputs
x
y
(*.f64 x (neg.f64 y))
(*.f64 (neg.f64 x) y)
(*.f64 y (neg.f64 x))
x
(neg.f64 y)
y

localize22.0ms (0.3%)

Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(*.f64 x (neg.f64 y))
✓accuracy100.0%
(neg.f64 y)
Results
16.0ms256×0valid
Compiler

Compiled 13 to 5 computations (61.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-mult: 2.0ms (50.8% of total)
ival-neg: 1.0ms (25.4% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series8.0ms (0.1%)

Counts
2 → 36
Calls
Call 1
Inputs
#<alt (*.f64 x (neg.f64 y))>
#<alt (neg.f64 y)>
Outputs
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) y)>
#<alt (*.f64 #s(literal -1 binary64) y)>
#<alt (*.f64 #s(literal -1 binary64) y)>
#<alt (*.f64 #s(literal -1 binary64) y)>
#<alt (*.f64 #s(literal -1 binary64) y)>
#<alt (*.f64 #s(literal -1 binary64) y)>
#<alt (*.f64 #s(literal -1 binary64) y)>
#<alt (*.f64 #s(literal -1 binary64) y)>
#<alt (*.f64 #s(literal -1 binary64) y)>
#<alt (*.f64 #s(literal -1 binary64) y)>
#<alt (*.f64 #s(literal -1 binary64) y)>
#<alt (*.f64 #s(literal -1 binary64) y)>
Calls

9 calls:

TimeVariablePointExpression
5.0ms
x
@inf
(* x (neg y))
0.0ms
x
@0
(* x (neg y))
0.0ms
y
@0
(* x (neg y))
0.0ms
x
@-inf
(* x (neg y))
0.0ms
y
@inf
(* x (neg y))

rewrite64.0ms (0.9%)

Algorithm
1×batch-egg-rewrite
Rules
305×unpow-prod-down
278×log1p-expm1-u
278×expm1-log1p-u
265×add-exp-log
258×add-log-exp
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01034
19026
210852
Stop Event
1×node limit
Counts
2 → 2
Calls
Call 1
Inputs
(*.f64 x (neg.f64 y))
(neg.f64 y)
Outputs
#s(literal 0 binary64)
#s(literal 0 binary64)

simplify70.0ms (1%)

Algorithm
1×egg-herbie
Rules
38×fma-define
9×sub-neg
6×+-commutative
4×mul0-rgt
4×*-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
012506
120506
228506
331506
439506
561506
678506
792506
8111506
9123506
Stop Event
1×saturated
Counts
38 → 6
Calls
Call 1
Inputs
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 #s(literal -1 binary64) y)
(*.f64 #s(literal -1 binary64) y)
(*.f64 #s(literal -1 binary64) y)
(*.f64 #s(literal -1 binary64) y)
(*.f64 #s(literal -1 binary64) y)
(*.f64 #s(literal -1 binary64) y)
(*.f64 #s(literal -1 binary64) y)
(*.f64 #s(literal -1 binary64) y)
(*.f64 #s(literal -1 binary64) y)
(*.f64 #s(literal -1 binary64) y)
(*.f64 #s(literal -1 binary64) y)
(*.f64 #s(literal -1 binary64) y)
#s(literal 0 binary64)
#s(literal 0 binary64)
Outputs
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(neg.f64 (*.f64 x y))
(*.f64 y (neg.f64 x))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(neg.f64 (*.f64 x y))
(*.f64 y (neg.f64 x))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(neg.f64 (*.f64 x y))
(*.f64 y (neg.f64 x))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(neg.f64 (*.f64 x y))
(*.f64 y (neg.f64 x))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(neg.f64 (*.f64 x y))
(*.f64 y (neg.f64 x))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(neg.f64 (*.f64 x y))
(*.f64 y (neg.f64 x))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(neg.f64 (*.f64 x y))
(*.f64 y (neg.f64 x))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(neg.f64 (*.f64 x y))
(*.f64 y (neg.f64 x))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(neg.f64 (*.f64 x y))
(*.f64 y (neg.f64 x))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(neg.f64 (*.f64 x y))
(*.f64 y (neg.f64 x))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(neg.f64 (*.f64 x y))
(*.f64 y (neg.f64 x))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(neg.f64 (*.f64 x y))
(*.f64 y (neg.f64 x))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(neg.f64 (*.f64 x y))
(*.f64 y (neg.f64 x))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(neg.f64 (*.f64 x y))
(*.f64 y (neg.f64 x))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(neg.f64 (*.f64 x y))
(*.f64 y (neg.f64 x))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(neg.f64 (*.f64 x y))
(*.f64 y (neg.f64 x))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(neg.f64 (*.f64 x y))
(*.f64 y (neg.f64 x))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(neg.f64 (*.f64 x y))
(*.f64 y (neg.f64 x))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(neg.f64 (*.f64 x y))
(*.f64 y (neg.f64 x))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(neg.f64 (*.f64 x y))
(*.f64 y (neg.f64 x))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(neg.f64 (*.f64 x y))
(*.f64 y (neg.f64 x))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(neg.f64 (*.f64 x y))
(*.f64 y (neg.f64 x))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(neg.f64 (*.f64 x y))
(*.f64 y (neg.f64 x))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(neg.f64 (*.f64 x y))
(*.f64 y (neg.f64 x))
(*.f64 #s(literal -1 binary64) y)
(neg.f64 y)
(*.f64 #s(literal -1 binary64) y)
(neg.f64 y)
(*.f64 #s(literal -1 binary64) y)
(neg.f64 y)
(*.f64 #s(literal -1 binary64) y)
(neg.f64 y)
(*.f64 #s(literal -1 binary64) y)
(neg.f64 y)
(*.f64 #s(literal -1 binary64) y)
(neg.f64 y)
(*.f64 #s(literal -1 binary64) y)
(neg.f64 y)
(*.f64 #s(literal -1 binary64) y)
(neg.f64 y)
(*.f64 #s(literal -1 binary64) y)
(neg.f64 y)
(*.f64 #s(literal -1 binary64) y)
(neg.f64 y)
(*.f64 #s(literal -1 binary64) y)
(neg.f64 y)
(*.f64 #s(literal -1 binary64) y)
(neg.f64 y)
#s(literal 0 binary64)
#s(literal 0 binary64)

eval1.0ms (0%)

Compiler

Compiled 25 to 13 computations (48% saved)

prune3.0ms (0%)

Pruning

7 alts after pruning (1 fresh and 6 done)

PrunedKeptTotal
New516
Fresh000
Picked033
Done033
Total5712
Accuracy
100.0%
Counts
12 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(-.f64 (+.f64 x y) (*.f64 x y))
✓61.3%
(-.f64 y (*.f64 x y))
✓66.2%
(-.f64 x (*.f64 x y))
✓28.8%
(*.f64 x (neg.f64 y))
✓35.8%
y
✓39.6%
x
▶2.5%
#s(literal 0 binary64)
Compiler

Compiled 38 to 24 computations (36.8% saved)

simplify6.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
011
Stop Event
1×saturated
Calls
Call 1
Inputs
#s(literal 0 binary64)
Outputs
#s(literal 0 binary64)

localize7.0ms (0.1%)

Results
5.0ms256×0valid
Compiler

Compiled 4 to 4 computations (0% saved)

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

eval0.0ms (0%)

Compiler

Compiled 2 to 2 computations (0% saved)

prune62.0ms (0.9%)

Pruning

7 alts after pruning (0 fresh and 7 done)

PrunedKeptTotal
New000
Fresh000
Picked011
Done066
Total077
Accuracy
100.0%
Counts
7 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(-.f64 (+.f64 x y) (*.f64 x y))
✓61.3%
(-.f64 y (*.f64 x y))
✓66.2%
(-.f64 x (*.f64 x y))
✓28.8%
(*.f64 x (neg.f64 y))
✓35.8%
y
✓39.6%
x
✓2.5%
#s(literal 0 binary64)
Compiler

Compiled 64 to 34 computations (46.9% saved)

regimes10.0ms (0.1%)

Counts
7 → 1
Calls
Call 1
Inputs
#s(literal 0 binary64)
x
y
(*.f64 x (neg.f64 y))
(-.f64 x (*.f64 x y))
(-.f64 y (*.f64 x y))
(-.f64 (+.f64 x y) (*.f64 x y))
Outputs
(-.f64 (+.f64 x y) (*.f64 x y))
Calls

3 calls:

3.0ms
(-.f64 (+.f64 x y) (*.f64 x y))
3.0ms
y
3.0ms
x
Results
AccuracySegmentsBranch
100.0%1x
100.0%1y
100.0%1(-.f64 (+.f64 x y) (*.f64 x y))
Compiler

Compiled 15 to 9 computations (40% saved)

regimes12.0ms (0.2%)

Counts
6 → 2
Calls
Call 1
Inputs
#s(literal 0 binary64)
x
y
(*.f64 x (neg.f64 y))
(-.f64 x (*.f64 x y))
(-.f64 y (*.f64 x y))
Outputs
(-.f64 x (*.f64 x y))
(-.f64 y (*.f64 x y))
Calls

2 calls:

9.0ms
y
3.0ms
x
Results
AccuracySegmentsBranch
91.2%2x
90.7%2y
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes6.0ms (0.1%)

Counts
5 → 3
Calls
Call 1
Inputs
#s(literal 0 binary64)
x
y
(*.f64 x (neg.f64 y))
(-.f64 x (*.f64 x y))
Outputs
(-.f64 x (*.f64 x y))
y
(*.f64 x (neg.f64 y))
Calls

2 calls:

3.0ms
y
2.0ms
x
Results
AccuracySegmentsBranch
76.8%3y
91.2%3x
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes5.0ms (0.1%)

Counts
4 → 4
Calls
Call 1
Inputs
#s(literal 0 binary64)
x
y
(*.f64 x (neg.f64 y))
Outputs
(*.f64 x (neg.f64 y))
x
y
(*.f64 x (neg.f64 y))
Calls

2 calls:

2.0ms
y
2.0ms
x
Results
AccuracySegmentsBranch
76.7%4y
73.8%3x
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes5.0ms (0.1%)

Counts
3 → 2
Calls
Call 1
Inputs
#s(literal 0 binary64)
x
y
Outputs
x
y
Calls

2 calls:

2.0ms
y
2.0ms
x
Results
AccuracySegmentsBranch
64.4%2x
65.5%2y
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0%)

Counts
2 → 1
Calls
Call 1
Inputs
#s(literal 0 binary64)
x
Outputs
x
Calls

2 calls:

2.0ms
y
2.0ms
x
Results
AccuracySegmentsBranch
39.6%1x
39.6%1y
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(literal 0 binary64)
Outputs
#s(literal 0 binary64)
Calls

2 calls:

1.0ms
y
1.0ms
x
Results
AccuracySegmentsBranch
2.5%1x
2.5%1y
Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch13.0ms (0.2%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
12.0ms
-1.3503368973810288e-124
-4.889904595896222e-132
Results
7.0ms144×0valid
Compiler

Compiled 158 to 99 computations (37.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 3.0ms
ival-sub: 1.0ms (34.4% of total)
ival-add: 1.0ms (34.4% of total)
ival-mult: 1.0ms (34.4% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch35.0ms (0.5%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
14.0ms
4.6464360919884854e-14
1.1159783962449561e+20
19.0ms
-1.3503368973810288e-124
-4.889904595896222e-132
Results
15.0ms320×0valid
Compiler

Compiled 243 to 169 computations (30.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-mult: 3.0ms (45.4% of total)
ival-sub: 2.0ms (30.3% of total)
ival-add: 2.0ms (30.3% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch76.0ms (1.1%)

Algorithm
3×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
8.0ms
3.9791621937030966e+217
8.476715043183333e+218
4.0ms
1.6938900060991553e-94
2.096436021094204e-94
62.0ms
-37341540403710.89
-9.431104704408699e-35
Results
63.0ms352×0valid
Compiler

Compiled 247 to 179 computations (27.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-mult: 3.0ms (42% of total)
ival-sub: 2.0ms (28% of total)
ival-add: 2.0ms (28% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch6.0ms (0.1%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
5.0ms
1.6938900060991553e-94
2.096436021094204e-94
Results
4.0ms48×0valid
Compiler

Compiled 38 to 27 computations (28.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 1.0ms
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)
backward-pass: 0.0ms (0% of total)

simplify7.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
7×+-commutative
6×sub-neg
5×*-commutative
3×1-exp
3×neg-sub0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
038257
159257
269257
374257
476257
Stop Event
1×saturated
Calls
Call 1
Inputs
(-.f64 (+.f64 x y) (*.f64 x y))
(if (<=.f64 x #s(literal -6430603855783981/47634102635436893179040485073748265163400240214004076398607741693502376385799646303105256699577209032590132615988260237052123652332890095616 binary64)) (-.f64 x (*.f64 x y)) (-.f64 y (*.f64 x y)))
(if (<=.f64 x #s(literal -6430603855783981/47634102635436893179040485073748265163400240214004076398607741693502376385799646303105256699577209032590132615988260237052123652332890095616 binary64)) (-.f64 x (*.f64 x y)) (if (<=.f64 x #s(literal 1 binary64)) y (*.f64 x (neg.f64 y))))
(if (<=.f64 y #s(literal -1 binary64)) (*.f64 x (neg.f64 y)) (if (<=.f64 y #s(literal 7703219671498173/37576681324381331646231689548629392438010920782533117931316655544515344401833735095419183974156299248510959616 binary64)) x (if (<=.f64 y #s(literal 47999999999999996129350943328671520291820066442117961598250253954564042314584307115113923092111871979010140598397675056607199897861836142258716495393028458483735049368459693875169812992794176957753043444504041931931648 binary64)) y (*.f64 x (neg.f64 y)))))
(if (<=.f64 y #s(literal 3757668132438133/18788340662190665823115844774314696219005460391266558965658327772257672200916867547709591987078149624255479808 binary64)) x y)
x
#s(literal 0 binary64)
Outputs
(-.f64 (+.f64 x y) (*.f64 x y))
(if (<=.f64 x #s(literal -6430603855783981/47634102635436893179040485073748265163400240214004076398607741693502376385799646303105256699577209032590132615988260237052123652332890095616 binary64)) (-.f64 x (*.f64 x y)) (-.f64 y (*.f64 x y)))
(if (<=.f64 x #s(literal -6430603855783981/47634102635436893179040485073748265163400240214004076398607741693502376385799646303105256699577209032590132615988260237052123652332890095616 binary64)) (-.f64 x (*.f64 x y)) (if (<=.f64 x #s(literal 1 binary64)) y (*.f64 x (neg.f64 y))))
(if (<=.f64 y #s(literal -1 binary64)) (*.f64 x (neg.f64 y)) (if (<=.f64 y #s(literal 7703219671498173/37576681324381331646231689548629392438010920782533117931316655544515344401833735095419183974156299248510959616 binary64)) x (if (<=.f64 y #s(literal 47999999999999996129350943328671520291820066442117961598250253954564042314584307115113923092111871979010140598397675056607199897861836142258716495393028458483735049368459693875169812992794176957753043444504041931931648 binary64)) y (*.f64 x (neg.f64 y)))))
(if (<=.f64 y #s(literal 3757668132438133/18788340662190665823115844774314696219005460391266558965658327772257672200916867547709591987078149624255479808 binary64)) x y)
x
#s(literal 0 binary64)

soundness4.3s (61.8%)

Rules
506×times-frac
461×distribute-lft-in
408×distribute-rgt-in
305×unpow-prod-down
278×log1p-expm1-u
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01034
19026
210852
05209768
110719456
229499296
Stop Event
1×done
1×node limit
1×node limit
Compiler

Compiled 258 to 100 computations (61.2% saved)

preprocess85.0ms (1.2%)

Remove

(sort x y)

Compiler

Compiled 214 to 98 computations (54.2% saved)

end0.0ms (0%)

Profiling

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