Data.Colour.SRGB:transferFunction from colour-2.3.3

Time bar (total: 7.1s)

analyze0.0ms (0%)

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

Compiled 10 to 7 computations (30% saved)

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

sample687.0ms (9.7%)

Results
383.0ms8255×0valid
0.0ms2valid
Precisions
Click to see histograms. Total time spent on operations: 182.0ms
ival-mult: 70.0ms (38.4% of total)
ival-add: 55.0ms (30.2% of total)
ival-sub: 46.0ms (25.2% of total)
const: 10.0ms (5.5% of total)
backward-pass: 2.0ms (1.1% of total)
Bogosity

preprocess101.0ms (1.4%)

Algorithm
egg-herbie
Rules
643×fmm-def
618×fma-define
124×distribute-rgt-in
98×unsub-neg
73×distribute-lft-in
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
024228
156204
2152185
3693182
41591176
52449176
62741176
72791176
Stop Event
saturated
Calls
Call 1
Inputs
(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x)
(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x)
(-.f64 (*.f64 (+.f64 (neg.f64 x) #s(literal 1 binary64)) y) (neg.f64 x))
(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (neg.f64 y)) x)
(neg.f64 (-.f64 (*.f64 (+.f64 (neg.f64 x) #s(literal 1 binary64)) y) (neg.f64 x)))
(neg.f64 (-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (neg.f64 y)) x))
(-.f64 (*.f64 (+.f64 y #s(literal 1 binary64)) x) y)
Outputs
(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x)
(fma.f64 (+.f64 x #s(literal 1 binary64)) y (neg.f64 x))
(-.f64 (fma.f64 x y y) x)
(fma.f64 x (+.f64 y #s(literal -1 binary64)) y)
(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x)
(fma.f64 (+.f64 x #s(literal 1 binary64)) y (neg.f64 x))
(-.f64 (fma.f64 x y y) x)
(fma.f64 x (+.f64 y #s(literal -1 binary64)) y)
(-.f64 (*.f64 (+.f64 (neg.f64 x) #s(literal 1 binary64)) y) (neg.f64 x))
(-.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (neg.f64 x))) (neg.f64 x))
(fma.f64 y (-.f64 #s(literal 1 binary64) x) x)
(fma.f64 x (-.f64 #s(literal 1 binary64) y) y)
(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (neg.f64 y)) x)
(neg.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) y x))
(-.f64 (*.f64 y (-.f64 #s(literal -1 binary64) x)) x)
(neg.f64 (-.f64 (*.f64 (+.f64 (neg.f64 x) #s(literal 1 binary64)) y) (neg.f64 x)))
(neg.f64 (-.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (neg.f64 x))) (neg.f64 x)))
(neg.f64 (fma.f64 y (-.f64 #s(literal 1 binary64) x) x))
(-.f64 (*.f64 x (+.f64 #s(literal -1 binary64) y)) y)
(neg.f64 (fma.f64 x (-.f64 #s(literal 1 binary64) y) y))
(neg.f64 (-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (neg.f64 y)) x))
(fma.f64 (+.f64 x #s(literal 1 binary64)) y x)
(-.f64 (*.f64 (+.f64 y #s(literal 1 binary64)) x) y)
(-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) y)) y)
(-.f64 (fma.f64 x y x) y)
(fma.f64 y (+.f64 x #s(literal -1 binary64)) x)

explain59.0ms (0.8%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-x
00-0-(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x)
00-0-#s(literal 1 binary64)
00-0-y
00-0-(*.f64 (+.f64 x #s(literal 1 binary64)) y)
00-0-(+.f64 x #s(literal 1 binary64))
Results
36.0ms512×0valid
Compiler

Compiled 51 to 20 computations (60.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 14.0ms
ival-mult: 7.0ms (50.6% of total)
ival-sub: 3.0ms (21.7% of total)
ival-add: 3.0ms (21.7% of total)
const: 1.0ms (7.2% of total)
backward-pass: 0.0ms (0% of total)

eval0.0ms (0%)

Compiler

Compiled 21 to 11 computations (47.6% saved)

prune4.0ms (0.1%)

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

Compiled 17 to 11 computations (35.3% saved)

simplify182.0ms (2.6%)

Algorithm
egg-herbie
Localize:

Found 5 expressions of interest:

NewMetricScoreProgram
cost-diff-64
(fma.f64 x (+.f64 y #s(literal -1 binary64)) y)
cost-diff0
(+.f64 y #s(literal -1 binary64))
cost-diff-6272
(*.f64 (+.f64 x #s(literal 1 binary64)) y)
cost-diff-6272
(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x)
cost-diff0
(+.f64 x #s(literal 1 binary64))
Rules
401×fma-define
227×fmm-def
46×cancel-sign-sub-inv
42×distribute-rgt-in
35×sub-neg
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
015113
129113
248104
3104104
4174104
5300104
6563104
71012104
81179104
91203104
101204104
Stop Event
saturated
Calls
Call 1
Inputs
(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x)
(*.f64 (+.f64 x #s(literal 1 binary64)) y)
(+.f64 x #s(literal 1 binary64))
x
#s(literal 1 binary64)
y
(fma.f64 x (+.f64 y #s(literal -1 binary64)) y)
x
(+.f64 y #s(literal -1 binary64))
y
#s(literal -1 binary64)
Outputs
(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x)
(fma.f64 (+.f64 x #s(literal 1 binary64)) y (neg.f64 x))
(fma.f64 x (+.f64 y #s(literal -1 binary64)) y)
(*.f64 (+.f64 x #s(literal 1 binary64)) y)
(fma.f64 x y y)
(+.f64 x #s(literal 1 binary64))
x
#s(literal 1 binary64)
y
(fma.f64 x (+.f64 y #s(literal -1 binary64)) y)
(fma.f64 (+.f64 x #s(literal 1 binary64)) y (neg.f64 x))
x
(+.f64 y #s(literal -1 binary64))
y
#s(literal -1 binary64)

localize86.0ms (1.2%)

Localize:

Found 5 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(fma.f64 x (+.f64 y #s(literal -1 binary64)) y)
accuracy100.0%
(+.f64 y #s(literal -1 binary64))
accuracy100.0%
(+.f64 x #s(literal 1 binary64))
accuracy100.0%
(*.f64 (+.f64 x #s(literal 1 binary64)) y)
accuracy100.0%
(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x)
Results
76.0ms256×0valid
Compiler

Compiled 34 to 11 computations (67.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-add: 4.0ms (41.1% of total)
ival-mult: 4.0ms (41.1% of total)
ival-sub: 1.0ms (10.3% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series8.0ms (0.1%)

Counts
5 → 96
Calls
Call 1
Inputs
#<alt (+.f64 x #s(literal 1 binary64))>
#<alt (-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x)>
#<alt (*.f64 (+.f64 x #s(literal 1 binary64)) y)>
#<alt (+.f64 y #s(literal -1 binary64))>
#<alt (fma.f64 x (+.f64 y #s(literal -1 binary64)) y)>
Outputs
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) x)>
#<alt (+.f64 #s(literal 1 binary64) x)>
#<alt (+.f64 #s(literal 1 binary64) x)>
#<alt x>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt x>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt y>
#<alt (+.f64 y (*.f64 x (-.f64 y #s(literal 1 binary64))))>
#<alt (+.f64 y (*.f64 x (-.f64 y #s(literal 1 binary64))))>
#<alt (+.f64 y (*.f64 x (-.f64 y #s(literal 1 binary64))))>
#<alt (*.f64 x (-.f64 y #s(literal 1 binary64)))>
#<alt (*.f64 x (-.f64 (+.f64 y (/.f64 y x)) #s(literal 1 binary64)))>
#<alt (*.f64 x (-.f64 (+.f64 y (/.f64 y x)) #s(literal 1 binary64)))>
#<alt (*.f64 x (-.f64 (+.f64 y (/.f64 y x)) #s(literal 1 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 y x))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 y x))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 y x))))))>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (-.f64 (*.f64 y (+.f64 #s(literal 1 binary64) x)) x)>
#<alt (-.f64 (*.f64 y (+.f64 #s(literal 1 binary64) x)) x)>
#<alt (-.f64 (*.f64 y (+.f64 #s(literal 1 binary64) x)) x)>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) x))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 x y)))))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 x y)))))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 x y)))))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) x))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 x y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 x y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 x y))))>
#<alt y>
#<alt (+.f64 y (*.f64 x y))>
#<alt (+.f64 y (*.f64 x y))>
#<alt (+.f64 y (*.f64 x y))>
#<alt (*.f64 x y)>
#<alt (*.f64 x (+.f64 y (/.f64 y x)))>
#<alt (*.f64 x (+.f64 y (/.f64 y x)))>
#<alt (*.f64 x (+.f64 y (/.f64 y x)))>
#<alt (*.f64 x y)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 y x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 y x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 y x)))))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) x))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) x))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) x))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) x))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) x))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) x))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) x))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) x))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) x))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) x))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) x))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) x))>
#<alt #s(literal -1 binary64)>
#<alt (-.f64 y #s(literal 1 binary64))>
#<alt (-.f64 y #s(literal 1 binary64))>
#<alt (-.f64 y #s(literal 1 binary64))>
#<alt y>
#<alt (*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))>
#<alt (*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))>
#<alt (*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))>
#<alt y>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))))>
#<alt y>
#<alt (+.f64 y (*.f64 x (-.f64 y #s(literal 1 binary64))))>
#<alt (+.f64 y (*.f64 x (-.f64 y #s(literal 1 binary64))))>
#<alt (+.f64 y (*.f64 x (-.f64 y #s(literal 1 binary64))))>
#<alt (*.f64 x (-.f64 y #s(literal 1 binary64)))>
#<alt (*.f64 x (-.f64 (+.f64 y (/.f64 y x)) #s(literal 1 binary64)))>
#<alt (*.f64 x (-.f64 (+.f64 y (/.f64 y x)) #s(literal 1 binary64)))>
#<alt (*.f64 x (-.f64 (+.f64 y (/.f64 y x)) #s(literal 1 binary64)))>
#<alt (*.f64 x (-.f64 y #s(literal 1 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (-.f64 y #s(literal 1 binary64))) (*.f64 #s(literal -1 binary64) (/.f64 y x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (-.f64 y #s(literal 1 binary64))) (*.f64 #s(literal -1 binary64) (/.f64 y x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (-.f64 y #s(literal 1 binary64))) (*.f64 #s(literal -1 binary64) (/.f64 y x)))))>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) x)))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) x)))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) x))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 x y)))))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 x y)))))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 x y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) x) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 x y)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 x y)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 x y)) #s(literal 1 binary64))))>
Calls

24 calls:

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

rewrite302.0ms (4.3%)

Algorithm
batch-egg-rewrite
Rules
978×log1p-expm1-u
978×expm1-log1p-u
861×prod-diff
419×fma-define
251×fmm-def
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01591
118791
2259489
Stop Event
node limit
Counts
5 → 256
Calls
Call 1
Inputs
(+.f64 x #s(literal 1 binary64))
(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x)
(*.f64 (+.f64 x #s(literal 1 binary64)) y)
(+.f64 y #s(literal -1 binary64))
(fma.f64 x (+.f64 y #s(literal -1 binary64)) y)
Outputs
(-.f64 (exp.f64 (log1p.f64 (+.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))
(*.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))
(*.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 x #s(literal 1 binary64))))
(*.f64 (hypot.f64 #s(literal 1 binary64) (sqrt.f64 x)) (hypot.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)))
(*.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x) (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 x #s(literal 2 binary64)) x)))
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)))
(/.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64))) (neg.f64 (+.f64 x #s(literal -1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) x))
(pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (hypot.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 x #s(literal 1 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 x #s(literal 1 binary64)))))
(cbrt.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 x #s(literal 1 binary64))))
(log1p.f64 (expm1.f64 (+.f64 x #s(literal 1 binary64))))
(exp.f64 (log1p.f64 x))
(exp.f64 (*.f64 (log1p.f64 x) #s(literal 1 binary64)))
(fma.f64 x #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) x #s(literal 1 binary64))
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))
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(fma.f64 (-.f64 (fma.f64 x y y) x) #s(literal 1 binary64) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) x))
(fma.f64 (-.f64 (fma.f64 x y y) x) #s(literal 1 binary64) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x))
(fma.f64 #s(literal -1 binary64) x (fma.f64 x y y))
(fma.f64 (cbrt.f64 (-.f64 (fma.f64 x y y) x)) (pow.f64 (cbrt.f64 (-.f64 (fma.f64 x y y) x)) #s(literal 2 binary64)) (fma.f64 (neg.f64 x) #s(literal 1 binary64) x))
(fma.f64 (cbrt.f64 (-.f64 (fma.f64 x y y) x)) (pow.f64 (cbrt.f64 (-.f64 (fma.f64 x y y) x)) #s(literal 2 binary64)) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) x))
(fma.f64 (cbrt.f64 (-.f64 (fma.f64 x y y) x)) (pow.f64 (cbrt.f64 (-.f64 (fma.f64 x y y) x)) #s(literal 2 binary64)) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (fma.f64 x y y) x)) #s(literal 2 binary64)) (cbrt.f64 (-.f64 (fma.f64 x y y) x)) (fma.f64 (neg.f64 x) #s(literal 1 binary64) x))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (fma.f64 x y y) x)) #s(literal 2 binary64)) (cbrt.f64 (-.f64 (fma.f64 x y y) x)) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) x))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (fma.f64 x y y) x)) #s(literal 2 binary64)) (cbrt.f64 (-.f64 (fma.f64 x y y) x)) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) y) (neg.f64 x))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) y) (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(fma.f64 (cbrt.f64 (fma.f64 x y y)) (pow.f64 (cbrt.f64 (fma.f64 x y y)) #s(literal 2 binary64)) (neg.f64 x))
(fma.f64 (cbrt.f64 (fma.f64 x y y)) (pow.f64 (cbrt.f64 (fma.f64 x y y)) #s(literal 2 binary64)) (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x y y)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x y y)) (neg.f64 x))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x y y)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x y y)) (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) (+.f64 x #s(literal 1 binary64))) (neg.f64 x))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) (+.f64 x #s(literal 1 binary64))) (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 x)) (fma.f64 x y y))
(fma.f64 (sqrt.f64 (-.f64 (fma.f64 x y y) x)) (sqrt.f64 (-.f64 (fma.f64 x y y) x)) (fma.f64 (neg.f64 x) #s(literal 1 binary64) x))
(fma.f64 (sqrt.f64 (-.f64 (fma.f64 x y y) x)) (sqrt.f64 (-.f64 (fma.f64 x y y) x)) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) x))
(fma.f64 (sqrt.f64 (-.f64 (fma.f64 x y y) x)) (sqrt.f64 (-.f64 (fma.f64 x y y) x)) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x))
(fma.f64 (hypot.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 (hypot.f64 #s(literal 1 binary64) (sqrt.f64 x)) y) (neg.f64 x))
(fma.f64 (hypot.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 (hypot.f64 #s(literal 1 binary64) (sqrt.f64 x)) y) (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 (fma.f64 x y y)) (sqrt.f64 (fma.f64 x y y)) (neg.f64 x))
(fma.f64 (sqrt.f64 (fma.f64 x y y)) (sqrt.f64 (fma.f64 x y y)) (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (+.f64 x #s(literal 1 binary64))) (neg.f64 x))
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (+.f64 x #s(literal 1 binary64))) (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x)) (fma.f64 x y y))
(fma.f64 (-.f64 (pow.f64 (fma.f64 x y y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 (+.f64 x #s(literal 1 binary64)) y x) (pow.f64 (fma.f64 x y y) #s(literal 2 binary64)))) (fma.f64 (neg.f64 x) #s(literal 1 binary64) x))
(fma.f64 (-.f64 (pow.f64 (fma.f64 x y y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 (+.f64 x #s(literal 1 binary64)) y x) (pow.f64 (fma.f64 x y y) #s(literal 2 binary64)))) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) x))
(fma.f64 (-.f64 (pow.f64 (fma.f64 x y y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 (+.f64 x #s(literal 1 binary64)) y x) (pow.f64 (fma.f64 x y y) #s(literal 2 binary64)))) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x))
(fma.f64 (-.f64 (pow.f64 (fma.f64 x y y) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 x #s(literal 1 binary64)) y x)) (fma.f64 (neg.f64 x) #s(literal 1 binary64) x))
(fma.f64 (-.f64 (pow.f64 (fma.f64 x y y) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 x #s(literal 1 binary64)) y x)) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) x))
(fma.f64 (-.f64 (pow.f64 (fma.f64 x y y) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 x #s(literal 1 binary64)) y x)) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x))
(fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) (fma.f64 x y y))
(fma.f64 (*.f64 (cbrt.f64 (neg.f64 x)) (cbrt.f64 (neg.f64 x))) (cbrt.f64 (neg.f64 x)) (fma.f64 x y y))
(fma.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x)) (fma.f64 x y y))
(fma.f64 (+.f64 (sqrt.f64 (fma.f64 x y y)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (fma.f64 x y y)) (sqrt.f64 x)) (fma.f64 (neg.f64 x) #s(literal 1 binary64) x))
(fma.f64 (+.f64 (sqrt.f64 (fma.f64 x y y)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (fma.f64 x y y)) (sqrt.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) x))
(fma.f64 (+.f64 (sqrt.f64 (fma.f64 x y y)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (fma.f64 x y y)) (sqrt.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (fma.f64 x y y))
(fma.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (neg.f64 x))
(fma.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(fma.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 y)) (sqrt.f64 y) (neg.f64 x))
(fma.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 y)) (sqrt.f64 y) (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 2 binary64))) (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (neg.f64 x))
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 2 binary64))) (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(fma.f64 (*.f64 y (hypot.f64 #s(literal 1 binary64) (sqrt.f64 x))) (hypot.f64 #s(literal 1 binary64) (sqrt.f64 x)) (neg.f64 x))
(fma.f64 (*.f64 y (hypot.f64 #s(literal 1 binary64) (sqrt.f64 x))) (hypot.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(+.f64 y (*.f64 x y))
(+.f64 y (*.f64 y x))
(+.f64 (*.f64 x y) y)
(+.f64 (*.f64 y x) y)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x y y))) #s(literal 1 binary64))
(/.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x))
(/.f64 (*.f64 y (fma.f64 x x #s(literal -1 binary64))) (+.f64 x #s(literal -1 binary64)))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) y) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x))
(/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) y) (+.f64 x #s(literal -1 binary64)))
(pow.f64 (fma.f64 x y y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 x y y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 x y y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 x y y)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 x y y) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 x y y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x y y))))
(cbrt.f64 (pow.f64 (fma.f64 x y y) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 x y y)))
(log1p.f64 (expm1.f64 (fma.f64 x y y)))
(exp.f64 (+.f64 (log1p.f64 x) (log.f64 y)))
(exp.f64 (*.f64 (+.f64 (log1p.f64 x) (log.f64 y)) #s(literal 1 binary64)))
(fma.f64 x y y)
(fma.f64 #s(literal 1 binary64) y (*.f64 x y))
(fma.f64 #s(literal 1 binary64) y (*.f64 y x))
(fma.f64 y x y)
(fma.f64 y #s(literal 1 binary64) (*.f64 x y))
(fma.f64 y #s(literal 1 binary64) (*.f64 y x))
(fma.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 x y))
(fma.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 y x))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 y) (*.f64 x y))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 y) (*.f64 y x))
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) (*.f64 x y))
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) (*.f64 y x))
(-.f64 y #s(literal 1 binary64))
(-.f64 (exp.f64 (log1p.f64 (+.f64 y #s(literal -1 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 y #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64)))
(*.f64 (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (+.f64 y #s(literal -1 binary64))) (pow.f64 (cbrt.f64 (+.f64 y #s(literal -1 binary64))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 y #s(literal -1 binary64))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 y #s(literal -1 binary64))))
(*.f64 (sqrt.f64 (+.f64 y #s(literal -1 binary64))) (sqrt.f64 (+.f64 y #s(literal -1 binary64))))
(*.f64 (+.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 y y #s(literal 1 binary64)) (*.f64 y #s(literal -1 binary64)))))
(*.f64 (fma.f64 y y #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))))
(*.f64 (+.f64 (sqrt.f64 y) #s(literal 1 binary64)) (-.f64 (sqrt.f64 y) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 y y #s(literal 1 binary64)) (*.f64 y #s(literal -1 binary64))) (+.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y #s(literal 1 binary64)) (fma.f64 y y #s(literal -1 binary64))))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64))) (-.f64 (fma.f64 y y #s(literal 1 binary64)) (*.f64 y #s(literal -1 binary64))))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 y #s(literal -1 binary64)))))
(/.f64 (fma.f64 y y #s(literal -1 binary64)) (+.f64 y #s(literal 1 binary64)))
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (-.f64 (fma.f64 y y #s(literal 1 binary64)) (*.f64 y #s(literal -1 binary64)))))
(/.f64 (neg.f64 (fma.f64 y y #s(literal -1 binary64))) (neg.f64 (+.f64 y #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) (-.f64 #s(literal -1 binary64) y))
(pow.f64 (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 y #s(literal -1 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 y #s(literal -1 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 y #s(literal -1 binary64))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (+.f64 y #s(literal -1 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 y #s(literal -1 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 y #s(literal -1 binary64)))))
(cbrt.f64 (pow.f64 (+.f64 y #s(literal -1 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 y #s(literal -1 binary64))))
(log1p.f64 (expm1.f64 (+.f64 y #s(literal -1 binary64))))
(exp.f64 (log.f64 (+.f64 y #s(literal -1 binary64))))
(exp.f64 (*.f64 (log.f64 (+.f64 y #s(literal -1 binary64))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) y #s(literal -1 binary64))
(fma.f64 y #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) #s(literal -1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 y) #s(literal -1 binary64))
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) #s(literal -1 binary64))
(+.f64 y (*.f64 x (+.f64 y #s(literal -1 binary64))))
(+.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) y)
(+.f64 (*.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) #s(literal 1 binary64)) y)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) y))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 y #s(literal -1 binary64)) y))
(*.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) y) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) y)) (pow.f64 (cbrt.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) y)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) y)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) y)))
(*.f64 (sqrt.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) y)) (sqrt.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) y)))
(/.f64 (+.f64 (pow.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) (*.f64 x (+.f64 y #s(literal -1 binary64))) (-.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) y))))
(/.f64 (-.f64 (*.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) (*.f64 x (+.f64 y #s(literal -1 binary64)))) (pow.f64 y #s(literal 2 binary64))) (-.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) y))
(pow.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) y)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) y) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) y))))
(cbrt.f64 (pow.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) y) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) y)))
(log1p.f64 (expm1.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) y)))
(exp.f64 (log.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) y)))
(exp.f64 (*.f64 (log.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) y)) #s(literal 1 binary64)))

simplify183.0ms (2.6%)

Algorithm
egg-herbie
Rules
658×times-frac
462×fmm-def
328×cancel-sign-sub-inv
286×associate-+r+
222×distribute-lft-neg-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
05349221
112948987
237548789
Stop Event
node limit
Counts
352 → 310
Calls
Call 1
Inputs
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) x)
(+.f64 #s(literal 1 binary64) x)
(+.f64 #s(literal 1 binary64) x)
x
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
x
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
y
(+.f64 y (*.f64 x (-.f64 y #s(literal 1 binary64))))
(+.f64 y (*.f64 x (-.f64 y #s(literal 1 binary64))))
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(fma.f64 (*.f64 y (hypot.f64 #s(literal 1 binary64) (sqrt.f64 x))) (hypot.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(+.f64 y (*.f64 x y))
(+.f64 y (*.f64 y x))
(+.f64 (*.f64 x y) y)
(+.f64 (*.f64 y x) y)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x y y))) #s(literal 1 binary64))
(/.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x))
(/.f64 (*.f64 y (fma.f64 x x #s(literal -1 binary64))) (+.f64 x #s(literal -1 binary64)))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) y) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x))
(/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) y) (+.f64 x #s(literal -1 binary64)))
(pow.f64 (fma.f64 x y y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 x y y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 x y y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 x y y)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 x y y) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 x y y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x y y))))
(cbrt.f64 (pow.f64 (fma.f64 x y y) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 x y y)))
(log1p.f64 (expm1.f64 (fma.f64 x y y)))
(exp.f64 (+.f64 (log1p.f64 x) (log.f64 y)))
(exp.f64 (*.f64 (+.f64 (log1p.f64 x) (log.f64 y)) #s(literal 1 binary64)))
(fma.f64 x y y)
(fma.f64 #s(literal 1 binary64) y (*.f64 x y))
(fma.f64 #s(literal 1 binary64) y (*.f64 y x))
(fma.f64 y x y)
(fma.f64 y #s(literal 1 binary64) (*.f64 x y))
(fma.f64 y #s(literal 1 binary64) (*.f64 y x))
(fma.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 x y))
(fma.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 y x))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 y) (*.f64 x y))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 y) (*.f64 y x))
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) (*.f64 x y))
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) (*.f64 y x))
(-.f64 y #s(literal 1 binary64))
(-.f64 (exp.f64 (log1p.f64 (+.f64 y #s(literal -1 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 y #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64)))
(*.f64 (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (+.f64 y #s(literal -1 binary64))) (pow.f64 (cbrt.f64 (+.f64 y #s(literal -1 binary64))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 y #s(literal -1 binary64))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 y #s(literal -1 binary64))))
(*.f64 (sqrt.f64 (+.f64 y #s(literal -1 binary64))) (sqrt.f64 (+.f64 y #s(literal -1 binary64))))
(*.f64 (+.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 y y #s(literal 1 binary64)) (*.f64 y #s(literal -1 binary64)))))
(*.f64 (fma.f64 y y #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))))
(*.f64 (+.f64 (sqrt.f64 y) #s(literal 1 binary64)) (-.f64 (sqrt.f64 y) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 y y #s(literal 1 binary64)) (*.f64 y #s(literal -1 binary64))) (+.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y #s(literal 1 binary64)) (fma.f64 y y #s(literal -1 binary64))))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64))) (-.f64 (fma.f64 y y #s(literal 1 binary64)) (*.f64 y #s(literal -1 binary64))))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 y #s(literal -1 binary64)))))
(/.f64 (fma.f64 y y #s(literal -1 binary64)) (+.f64 y #s(literal 1 binary64)))
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (-.f64 (fma.f64 y y #s(literal 1 binary64)) (*.f64 y #s(literal -1 binary64)))))
(/.f64 (neg.f64 (fma.f64 y y #s(literal -1 binary64))) (neg.f64 (+.f64 y #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) (-.f64 #s(literal -1 binary64) y))
(pow.f64 (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 y #s(literal -1 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 y #s(literal -1 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 y #s(literal -1 binary64))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (+.f64 y #s(literal -1 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 y #s(literal -1 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 y #s(literal -1 binary64)))))
(cbrt.f64 (pow.f64 (+.f64 y #s(literal -1 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 y #s(literal -1 binary64))))
(log1p.f64 (expm1.f64 (+.f64 y #s(literal -1 binary64))))
(exp.f64 (log.f64 (+.f64 y #s(literal -1 binary64))))
(exp.f64 (*.f64 (log.f64 (+.f64 y #s(literal -1 binary64))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) y #s(literal -1 binary64))
(fma.f64 y #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) #s(literal -1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 y) #s(literal -1 binary64))
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) #s(literal -1 binary64))
(+.f64 y (*.f64 x (+.f64 y #s(literal -1 binary64))))
(+.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) y)
(+.f64 (*.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) #s(literal 1 binary64)) y)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) y))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 y #s(literal -1 binary64)) y))
(*.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) y) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) y)) (pow.f64 (cbrt.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) y)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) y)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) y)))
(*.f64 (sqrt.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) y)) (sqrt.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) y)))
(/.f64 (+.f64 (pow.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) (*.f64 x (+.f64 y #s(literal -1 binary64))) (-.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) y))))
(/.f64 (-.f64 (*.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) (*.f64 x (+.f64 y #s(literal -1 binary64)))) (pow.f64 y #s(literal 2 binary64))) (-.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) y))
(pow.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) y)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) y) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) y))))
(cbrt.f64 (pow.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) y) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) y)))
(log1p.f64 (expm1.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) y)))
(exp.f64 (log.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) y)))
(exp.f64 (*.f64 (log.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) y)) #s(literal 1 binary64)))
Outputs
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) x)
(+.f64 #s(literal 1 binary64) x)
(+.f64 #s(literal 1 binary64) x)
x
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(+.f64 #s(literal 1 binary64) x)
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(+.f64 #s(literal 1 binary64) x)
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(+.f64 #s(literal 1 binary64) x)
x
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(+.f64 #s(literal 1 binary64) x)
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(+.f64 #s(literal 1 binary64) x)
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(+.f64 #s(literal 1 binary64) x)
y
(+.f64 y (*.f64 x (-.f64 y #s(literal 1 binary64))))
(fma.f64 x (+.f64 y #s(literal -1 binary64)) y)
(+.f64 y (*.f64 x (-.f64 y #s(literal 1 binary64))))
(fma.f64 x (+.f64 y #s(literal -1 binary64)) y)
(+.f64 y (*.f64 x (-.f64 y #s(literal 1 binary64))))
(fma.f64 x (+.f64 y #s(literal -1 binary64)) y)
(*.f64 x (-.f64 y #s(literal 1 binary64)))
(*.f64 x (+.f64 y #s(literal -1 binary64)))
(*.f64 x (-.f64 (+.f64 y (/.f64 y x)) #s(literal 1 binary64)))
(*.f64 x (+.f64 y (-.f64 (/.f64 y x) #s(literal 1 binary64))))
(*.f64 x (+.f64 y (+.f64 (/.f64 y x) #s(literal -1 binary64))))
(*.f64 x (-.f64 (+.f64 y (/.f64 y x)) #s(literal 1 binary64)))
(*.f64 x (+.f64 y (-.f64 (/.f64 y x) #s(literal 1 binary64))))
(*.f64 x (+.f64 y (+.f64 (/.f64 y x) #s(literal -1 binary64))))
(*.f64 x (-.f64 (+.f64 y (/.f64 y x)) #s(literal 1 binary64)))
(*.f64 x (+.f64 y (-.f64 (/.f64 y x) #s(literal 1 binary64))))
(*.f64 x (+.f64 y (+.f64 (/.f64 y x) #s(literal -1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) y))))
(*.f64 x (+.f64 y #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 y x))))))
(*.f64 x (+.f64 y (-.f64 (/.f64 y x) #s(literal 1 binary64))))
(*.f64 x (+.f64 y (+.f64 (/.f64 y x) #s(literal -1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 y x))))))
(*.f64 x (+.f64 y (-.f64 (/.f64 y x) #s(literal 1 binary64))))
(*.f64 x (+.f64 y (+.f64 (/.f64 y x) #s(literal -1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 y x))))))
(*.f64 x (+.f64 y (-.f64 (/.f64 y x) #s(literal 1 binary64))))
(*.f64 x (+.f64 y (+.f64 (/.f64 y x) #s(literal -1 binary64))))
(*.f64 #s(literal -1 binary64) x)
(neg.f64 x)
(-.f64 (*.f64 y (+.f64 #s(literal 1 binary64) x)) x)
(fma.f64 x (+.f64 y #s(literal -1 binary64)) y)
(-.f64 (*.f64 y (+.f64 #s(literal 1 binary64) x)) x)
(fma.f64 x (+.f64 y #s(literal -1 binary64)) y)
(-.f64 (*.f64 y (+.f64 #s(literal 1 binary64) x)) x)
(fma.f64 x (+.f64 y #s(literal -1 binary64)) y)
(*.f64 y (+.f64 #s(literal 1 binary64) x))
(fma.f64 x y y)
(*.f64 y (+.f64 #s(literal 1 binary64) (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 x y)))))
(*.f64 y (+.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 (neg.f64 x) y)))
(*.f64 y (+.f64 #s(literal 1 binary64) (-.f64 x (/.f64 x y))))
(*.f64 y (-.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 x y)))
(*.f64 y (+.f64 #s(literal 1 binary64) (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 x y)))))
(*.f64 y (+.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 (neg.f64 x) y)))
(*.f64 y (+.f64 #s(literal 1 binary64) (-.f64 x (/.f64 x y))))
(*.f64 y (-.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 x y)))
(*.f64 y (+.f64 #s(literal 1 binary64) (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 x y)))))
(*.f64 y (+.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 (neg.f64 x) y)))
(*.f64 y (+.f64 #s(literal 1 binary64) (-.f64 x (/.f64 x y))))
(*.f64 y (-.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 x y)))
(*.f64 y (+.f64 #s(literal 1 binary64) x))
(fma.f64 x y y)
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 x y))))
(*.f64 y (+.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 (neg.f64 x) y)))
(*.f64 y (+.f64 #s(literal 1 binary64) (-.f64 x (/.f64 x y))))
(*.f64 y (-.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 x y)))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 x y))))
(*.f64 y (+.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 (neg.f64 x) y)))
(*.f64 y (+.f64 #s(literal 1 binary64) (-.f64 x (/.f64 x y))))
(*.f64 y (-.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 x y)))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 x y))))
(*.f64 y (+.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 (neg.f64 x) y)))
(*.f64 y (+.f64 #s(literal 1 binary64) (-.f64 x (/.f64 x y))))
(*.f64 y (-.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 x y)))
y
(+.f64 y (*.f64 x y))
(fma.f64 x y y)
(+.f64 y (*.f64 x y))
(fma.f64 x y y)
(+.f64 y (*.f64 x y))
(fma.f64 x y y)
(*.f64 x y)
(*.f64 x (+.f64 y (/.f64 y x)))
(fma.f64 x y (*.f64 #s(literal 1 binary64) (/.f64 y #s(literal 1 binary64))))
(*.f64 x (+.f64 y (/.f64 y x)))
(fma.f64 x y (*.f64 #s(literal 1 binary64) (/.f64 y #s(literal 1 binary64))))
(*.f64 x (+.f64 y (/.f64 y x)))
(fma.f64 x y (*.f64 #s(literal 1 binary64) (/.f64 y #s(literal 1 binary64))))
(*.f64 x y)
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 y x)))))
(*.f64 x (+.f64 y (/.f64 y x)))
(fma.f64 x y (*.f64 #s(literal 1 binary64) (/.f64 y #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 y x)))))
(*.f64 x (+.f64 y (/.f64 y x)))
(fma.f64 x y (*.f64 #s(literal 1 binary64) (/.f64 y #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 y x)))))
(*.f64 x (+.f64 y (/.f64 y x)))
(fma.f64 x y (*.f64 #s(literal 1 binary64) (/.f64 y #s(literal 1 binary64))))
(*.f64 y (+.f64 #s(literal 1 binary64) x))
(fma.f64 x y y)
(*.f64 y (+.f64 #s(literal 1 binary64) x))
(fma.f64 x y y)
(*.f64 y (+.f64 #s(literal 1 binary64) x))
(fma.f64 x y y)
(*.f64 y (+.f64 #s(literal 1 binary64) x))
(fma.f64 x y y)
(*.f64 y (+.f64 #s(literal 1 binary64) x))
(fma.f64 x y y)
(*.f64 y (+.f64 #s(literal 1 binary64) x))
(fma.f64 x y y)
(*.f64 y (+.f64 #s(literal 1 binary64) x))
(fma.f64 x y y)
(*.f64 y (+.f64 #s(literal 1 binary64) x))
(fma.f64 x y y)
(*.f64 y (+.f64 #s(literal 1 binary64) x))
(fma.f64 x y y)
(*.f64 y (+.f64 #s(literal 1 binary64) x))
(fma.f64 x y y)
(*.f64 y (+.f64 #s(literal 1 binary64) x))
(fma.f64 x y y)
(*.f64 y (+.f64 #s(literal 1 binary64) x))
(fma.f64 x y y)
#s(literal -1 binary64)
(-.f64 y #s(literal 1 binary64))
(+.f64 y #s(literal -1 binary64))
(-.f64 y #s(literal 1 binary64))
(+.f64 y #s(literal -1 binary64))
(-.f64 y #s(literal 1 binary64))
(+.f64 y #s(literal -1 binary64))
y
(*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
(+.f64 y #s(literal -1 binary64))
(*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
(+.f64 y #s(literal -1 binary64))
(*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
(+.f64 y #s(literal -1 binary64))
y
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))))
(+.f64 y #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))))
(+.f64 y #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))))
(+.f64 y #s(literal -1 binary64))
y
(+.f64 y (*.f64 x (-.f64 y #s(literal 1 binary64))))
(fma.f64 x (+.f64 y #s(literal -1 binary64)) y)
(+.f64 y (*.f64 x (-.f64 y #s(literal 1 binary64))))
(fma.f64 x (+.f64 y #s(literal -1 binary64)) y)
(+.f64 y (*.f64 x (-.f64 y #s(literal 1 binary64))))
(fma.f64 x (+.f64 y #s(literal -1 binary64)) y)
(*.f64 x (-.f64 y #s(literal 1 binary64)))
(*.f64 x (+.f64 y #s(literal -1 binary64)))
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(fma.f64 #s(literal 1 binary64) y (*.f64 y x))
(fma.f64 x y y)
(fma.f64 y x y)
(fma.f64 x y y)
(fma.f64 y #s(literal 1 binary64) (*.f64 x y))
(fma.f64 x y y)
(fma.f64 y #s(literal 1 binary64) (*.f64 y x))
(fma.f64 x y y)
(fma.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 x y))
(fma.f64 x y y)
(fma.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 y x))
(fma.f64 x y y)
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 y) (*.f64 x y))
(fma.f64 x y y)
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 y) (*.f64 y x))
(fma.f64 x y y)
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) (*.f64 x y))
(fma.f64 x y y)
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) (*.f64 y x))
(fma.f64 x y y)
(-.f64 y #s(literal 1 binary64))
(+.f64 y #s(literal -1 binary64))
(-.f64 (exp.f64 (log1p.f64 (+.f64 y #s(literal -1 binary64)))) #s(literal 1 binary64))
(+.f64 y #s(literal -1 binary64))
(-.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 y #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))))
(-.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)))
(+.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) y)))
(/.f64 (fma.f64 y y #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) y))
(*.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64)))
(+.f64 y #s(literal -1 binary64))
(*.f64 (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64))
(+.f64 y #s(literal -1 binary64))
(*.f64 (cbrt.f64 (+.f64 y #s(literal -1 binary64))) (pow.f64 (cbrt.f64 (+.f64 y #s(literal -1 binary64))) #s(literal 2 binary64)))
(+.f64 y #s(literal -1 binary64))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 y #s(literal -1 binary64))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 y #s(literal -1 binary64))))
(+.f64 y #s(literal -1 binary64))
(*.f64 (sqrt.f64 (+.f64 y #s(literal -1 binary64))) (sqrt.f64 (+.f64 y #s(literal -1 binary64))))
(+.f64 y #s(literal -1 binary64))
(*.f64 (+.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 y y #s(literal 1 binary64)) (*.f64 y #s(literal -1 binary64)))))
(*.f64 (+.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 y y #s(literal 1 binary64)) (neg.f64 y))))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 y y y)))
(*.f64 (fma.f64 y y #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))))
(-.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)))
(+.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) y)))
(/.f64 (fma.f64 y y #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) y))
(*.f64 (+.f64 (sqrt.f64 y) #s(literal 1 binary64)) (-.f64 (sqrt.f64 y) #s(literal 1 binary64)))
(+.f64 y #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 y y #s(literal 1 binary64)) (*.f64 y #s(literal -1 binary64))) (+.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64)))))
(*.f64 (+.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 y y #s(literal 1 binary64)) (neg.f64 y))))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 y y y)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y #s(literal 1 binary64)) (fma.f64 y y #s(literal -1 binary64))))
(-.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)))
(+.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) y)))
(/.f64 (fma.f64 y y #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) y))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64))) (-.f64 (fma.f64 y y #s(literal 1 binary64)) (*.f64 y #s(literal -1 binary64))))
(*.f64 (+.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 y y #s(literal 1 binary64)) (neg.f64 y))))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 y y y)))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 y #s(literal -1 binary64)))))
(*.f64 (+.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 y y #s(literal 1 binary64)) (neg.f64 y))))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 y y y)))
(/.f64 (fma.f64 y y #s(literal -1 binary64)) (+.f64 y #s(literal 1 binary64)))
(-.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)))
(+.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) y)))
(/.f64 (fma.f64 y y #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) y))
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (-.f64 (fma.f64 y y #s(literal 1 binary64)) (*.f64 y #s(literal -1 binary64)))))
(*.f64 (+.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 y y #s(literal 1 binary64)) (neg.f64 y))))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 y y y)))
(/.f64 (neg.f64 (fma.f64 y y #s(literal -1 binary64))) (neg.f64 (+.f64 y #s(literal 1 binary64))))
(-.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)))
(+.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) y)))
(/.f64 (fma.f64 y y #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) y))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) (-.f64 #s(literal -1 binary64) y))
(-.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)))
(+.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) y)))
(/.f64 (fma.f64 y y #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) y))
(pow.f64 (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64))
(+.f64 y #s(literal -1 binary64))
(pow.f64 (cbrt.f64 (+.f64 y #s(literal -1 binary64))) #s(literal 3 binary64))
(+.f64 y #s(literal -1 binary64))
(pow.f64 (pow.f64 (+.f64 y #s(literal -1 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(+.f64 y #s(literal -1 binary64))
(pow.f64 (sqrt.f64 (+.f64 y #s(literal -1 binary64))) #s(literal 2 binary64))
(+.f64 y #s(literal -1 binary64))
(sqrt.f64 (pow.f64 (+.f64 y #s(literal -1 binary64)) #s(literal 2 binary64)))
(+.f64 y #s(literal -1 binary64))
(log.f64 (exp.f64 (+.f64 y #s(literal -1 binary64))))
(+.f64 y #s(literal -1 binary64))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 y #s(literal -1 binary64)))))
(+.f64 y #s(literal -1 binary64))
(cbrt.f64 (pow.f64 (+.f64 y #s(literal -1 binary64)) #s(literal 3 binary64)))
(+.f64 y #s(literal -1 binary64))
(expm1.f64 (log1p.f64 (+.f64 y #s(literal -1 binary64))))
(+.f64 y #s(literal -1 binary64))
(log1p.f64 (expm1.f64 (+.f64 y #s(literal -1 binary64))))
(+.f64 y #s(literal -1 binary64))
(exp.f64 (log.f64 (+.f64 y #s(literal -1 binary64))))
(+.f64 y #s(literal -1 binary64))
(exp.f64 (*.f64 (log.f64 (+.f64 y #s(literal -1 binary64))) #s(literal 1 binary64)))
(+.f64 y #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) y #s(literal -1 binary64))
(+.f64 y #s(literal -1 binary64))
(fma.f64 y #s(literal 1 binary64) #s(literal -1 binary64))
(+.f64 y #s(literal -1 binary64))
(fma.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) #s(literal -1 binary64))
(+.f64 y #s(literal -1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 y) #s(literal -1 binary64))
(+.f64 y #s(literal -1 binary64))
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) #s(literal -1 binary64))
(+.f64 y #s(literal -1 binary64))
(+.f64 y (*.f64 x (+.f64 y #s(literal -1 binary64))))
(fma.f64 x (+.f64 y #s(literal -1 binary64)) y)
(+.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) y)
(fma.f64 x (+.f64 y #s(literal -1 binary64)) y)
(+.f64 (*.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) #s(literal 1 binary64)) y)
(fma.f64 x (+.f64 y #s(literal -1 binary64)) y)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) y))) #s(literal 1 binary64))
(fma.f64 x (+.f64 y #s(literal -1 binary64)) y)
(*.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 y #s(literal -1 binary64)) y))
(fma.f64 x (+.f64 y #s(literal -1 binary64)) y)
(*.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) y) #s(literal 1 binary64))
(fma.f64 x (+.f64 y #s(literal -1 binary64)) y)
(*.f64 (cbrt.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) y)) (pow.f64 (cbrt.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) y)) #s(literal 2 binary64)))
(fma.f64 x (+.f64 y #s(literal -1 binary64)) y)
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) y)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) y)))
(fma.f64 x (+.f64 y #s(literal -1 binary64)) y)
(*.f64 (sqrt.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) y)) (sqrt.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) y)))
(fma.f64 x (+.f64 y #s(literal -1 binary64)) y)
(/.f64 (+.f64 (pow.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) (*.f64 x (+.f64 y #s(literal -1 binary64))) (-.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) y))))
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) #s(literal 3 binary64))) (+.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (+.f64 y #s(literal -1 binary64)) #s(literal 2 binary64))) (-.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 x (*.f64 (+.f64 y #s(literal -1 binary64)) y)))))
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) #s(literal 3 binary64))) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (+.f64 y #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 y (-.f64 y (*.f64 x (+.f64 y #s(literal -1 binary64)))))))
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) #s(literal 3 binary64))) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (+.f64 y #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 y (+.f64 y (*.f64 x (-.f64 #s(literal 1 binary64) y))))))
(/.f64 (-.f64 (*.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) (*.f64 x (+.f64 y #s(literal -1 binary64)))) (pow.f64 y #s(literal 2 binary64))) (-.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) y))
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (+.f64 y #s(literal -1 binary64)) #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))) (-.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) y))
(/.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (+.f64 y #s(literal -1 binary64)) #s(literal 2 binary64)) (neg.f64 (pow.f64 y #s(literal 2 binary64)))) (fma.f64 x (+.f64 y #s(literal -1 binary64)) (neg.f64 y)))
(pow.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) y) #s(literal 1 binary64))
(fma.f64 x (+.f64 y #s(literal -1 binary64)) y)
(pow.f64 (cbrt.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) y)) #s(literal 3 binary64))
(fma.f64 x (+.f64 y #s(literal -1 binary64)) y)
(pow.f64 (pow.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(fma.f64 x (+.f64 y #s(literal -1 binary64)) y)
(pow.f64 (sqrt.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) y)) #s(literal 2 binary64))
(fma.f64 x (+.f64 y #s(literal -1 binary64)) y)
(sqrt.f64 (pow.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) y) #s(literal 2 binary64)))
(fma.f64 x (+.f64 y #s(literal -1 binary64)) y)
(log.f64 (exp.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) y)))
(fma.f64 x (+.f64 y #s(literal -1 binary64)) y)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) y))))
(fma.f64 x (+.f64 y #s(literal -1 binary64)) y)
(cbrt.f64 (pow.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) y) #s(literal 3 binary64)))
(fma.f64 x (+.f64 y #s(literal -1 binary64)) y)
(expm1.f64 (log1p.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) y)))
(fma.f64 x (+.f64 y #s(literal -1 binary64)) y)
(log1p.f64 (expm1.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) y)))
(fma.f64 x (+.f64 y #s(literal -1 binary64)) y)
(exp.f64 (log.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) y)))
(fma.f64 x (+.f64 y #s(literal -1 binary64)) y)
(exp.f64 (*.f64 (log.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) y)) #s(literal 1 binary64)))
(fma.f64 x (+.f64 y #s(literal -1 binary64)) y)

eval137.0ms (1.9%)

Compiler

Compiled 4713 to 764 computations (83.8% saved)

prune44.0ms (0.6%)

Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New3046310
Fresh000
Picked202
Done000
Total3066312
Accuracy
100.0%
Counts
312 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(-.f64 (+.f64 (*.f64 y x) y) x)
73.0%
(-.f64 (*.f64 #s(literal 1 binary64) y) x)
62.2%
(*.f64 y (+.f64 #s(literal 1 binary64) x))
66.2%
(*.f64 x (-.f64 y #s(literal 1 binary64)))
39.7%
(neg.f64 x)
35.5%
y
Compiler

Compiled 74 to 50 computations (32.4% saved)

simplify60.0ms (0.8%)

Algorithm
egg-herbie
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
cost-diff-6272
(*.f64 y (+.f64 #s(literal 1 binary64) x))
cost-diff0
(+.f64 #s(literal 1 binary64) x)
cost-diff0
(-.f64 y #s(literal 1 binary64))
cost-diff0
(*.f64 x (-.f64 y #s(literal 1 binary64)))
cost-diff0
(neg.f64 x)
cost-diff-6272
(+.f64 (*.f64 y x) y)
cost-diff-6272
(-.f64 (+.f64 (*.f64 y x) y) x)
cost-diff0
(*.f64 y x)
Rules
355×fma-define
226×fmm-def
52×cancel-sign-sub-inv
37×associate-+l-
34×sub-neg
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
017157
142157
260157
3108154
4208154
5366154
6702154
71031154
81082154
91106154
101107154
Stop Event
saturated
Calls
Call 1
Inputs
(-.f64 (+.f64 (*.f64 y x) y) x)
(+.f64 (*.f64 y x) y)
(*.f64 y x)
y
x
y
(neg.f64 x)
x
(*.f64 x (-.f64 y #s(literal 1 binary64)))
x
(-.f64 y #s(literal 1 binary64))
y
#s(literal 1 binary64)
(*.f64 y (+.f64 #s(literal 1 binary64) x))
y
(+.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
Outputs
(-.f64 (+.f64 (*.f64 y x) y) x)
(-.f64 (fma.f64 y x y) x)
(fma.f64 x (+.f64 y #s(literal -1 binary64)) y)
(+.f64 (*.f64 y x) y)
(fma.f64 y x y)
(*.f64 y x)
y
x
y
(neg.f64 x)
x
(*.f64 x (-.f64 y #s(literal 1 binary64)))
(*.f64 x (+.f64 y #s(literal -1 binary64)))
x
(-.f64 y #s(literal 1 binary64))
(+.f64 y #s(literal -1 binary64))
y
#s(literal 1 binary64)
(*.f64 y (+.f64 #s(literal 1 binary64) x))
(fma.f64 y x y)
y
(+.f64 #s(literal 1 binary64) x)
(+.f64 x #s(literal 1 binary64))
#s(literal 1 binary64)
x

localize101.0ms (1.4%)

Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(+.f64 #s(literal 1 binary64) x)
accuracy100.0%
(*.f64 y (+.f64 #s(literal 1 binary64) x))
accuracy100.0%
(-.f64 y #s(literal 1 binary64))
accuracy100.0%
(*.f64 x (-.f64 y #s(literal 1 binary64)))
accuracy100.0%
(neg.f64 x)
accuracy100.0%
(*.f64 y x)
accuracy100.0%
(+.f64 (*.f64 y x) y)
accuracy100.0%
(-.f64 (+.f64 (*.f64 y x) y) x)
Results
88.0ms256×0valid
Compiler

Compiled 46 to 12 computations (73.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 23.0ms
ival-sub: 12.0ms (52.1% of total)
ival-mult: 6.0ms (26% of total)
ival-add: 3.0ms (13% of total)
ival-neg: 1.0ms (4.3% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series7.0ms (0.1%)

Counts
8 → 126
Calls
Call 1
Inputs
#<alt (*.f64 y x)>
#<alt (-.f64 (+.f64 (*.f64 y x) y) x)>
#<alt (+.f64 (*.f64 y x) y)>
#<alt (neg.f64 x)>
#<alt (*.f64 x (-.f64 y #s(literal 1 binary64)))>
#<alt (-.f64 y #s(literal 1 binary64))>
#<alt (+.f64 #s(literal 1 binary64) x)>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) x))>
Outputs
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (-.f64 (*.f64 y (+.f64 #s(literal 1 binary64) x)) x)>
#<alt (-.f64 (*.f64 y (+.f64 #s(literal 1 binary64) x)) x)>
#<alt (-.f64 (*.f64 y (+.f64 #s(literal 1 binary64) x)) x)>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) x))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 x y)))))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 x y)))))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 x y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) x) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 x y)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 x y)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 x y)) #s(literal 1 binary64))))>
#<alt y>
#<alt (+.f64 y (*.f64 x (-.f64 y #s(literal 1 binary64))))>
#<alt (+.f64 y (*.f64 x (-.f64 y #s(literal 1 binary64))))>
#<alt (+.f64 y (*.f64 x (-.f64 y #s(literal 1 binary64))))>
#<alt (*.f64 x (-.f64 y #s(literal 1 binary64)))>
#<alt (*.f64 x (-.f64 (+.f64 y (/.f64 y x)) #s(literal 1 binary64)))>
#<alt (*.f64 x (-.f64 (+.f64 y (/.f64 y x)) #s(literal 1 binary64)))>
#<alt (*.f64 x (-.f64 (+.f64 y (/.f64 y x)) #s(literal 1 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 y x))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 y x))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 y x))))))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) x))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) x))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) x))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) x))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) x))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) x))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) x))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) x))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) x) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) x) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) x) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) x) #s(literal 1 binary64))))>
#<alt y>
#<alt (+.f64 y (*.f64 x y))>
#<alt (+.f64 y (*.f64 x y))>
#<alt (+.f64 y (*.f64 x y))>
#<alt (*.f64 x y)>
#<alt (*.f64 x (+.f64 y (/.f64 y x)))>
#<alt (*.f64 x (+.f64 y (/.f64 y x)))>
#<alt (*.f64 x (+.f64 y (/.f64 y x)))>
#<alt (*.f64 x y)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 y x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 y x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 y x)))))>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 x y))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 x y))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 x y))>
#<alt (*.f64 x y)>
#<alt (*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 x y))))>
#<alt (*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 x y))))>
#<alt (*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 x y))))>
#<alt (*.f64 x y)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 x y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 x y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 x y))))>
#<alt #s(literal -1 binary64)>
#<alt y>
#<alt (*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))>
#<alt (*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))>
#<alt (*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))>
#<alt y>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))))>
#<alt #s(literal 1 binary64)>
#<alt x>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt x>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt y>
#<alt (+.f64 y (*.f64 x y))>
#<alt (+.f64 y (*.f64 x y))>
#<alt (+.f64 y (*.f64 x y))>
#<alt (*.f64 x y)>
#<alt (*.f64 x (+.f64 y (/.f64 y x)))>
#<alt (*.f64 x (+.f64 y (/.f64 y x)))>
#<alt (*.f64 x (+.f64 y (/.f64 y x)))>
#<alt (*.f64 x y)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 y x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 y x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 y x)))))>
Calls

39 calls:

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

rewrite148.0ms (2.1%)

Algorithm
batch-egg-rewrite
Rules
1165×log1p-expm1-u
1165×expm1-log1p-u
395×fmm-def
110×add-cube-cbrt
108×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
017123
1260116
23649116
Stop Event
node limit
Counts
8 → 290
Calls
Call 1
Inputs
(*.f64 y x)
(-.f64 (+.f64 (*.f64 y x) y) x)
(+.f64 (*.f64 y x) y)
(neg.f64 x)
(*.f64 x (-.f64 y #s(literal 1 binary64)))
(-.f64 y #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) x)
(*.f64 y (+.f64 #s(literal 1 binary64) x))
Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 y x))) #s(literal 1 binary64))
(pow.f64 (*.f64 y x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 y x)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 y) x))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y x))))
(cbrt.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 y x)))
(log1p.f64 (expm1.f64 (*.f64 y x)))
(exp.f64 (log.f64 (*.f64 y x)))
(exp.f64 (*.f64 (log.f64 (*.f64 y x)) #s(literal 1 binary64)))
(+.f64 y (*.f64 x (+.f64 y #s(literal -1 binary64))))
(+.f64 y (fma.f64 y x x))
(+.f64 x (fma.f64 y x y))
(+.f64 (*.f64 y x) (+.f64 y x))
(+.f64 (*.f64 y x) (*.f64 (+.f64 y x) #s(literal 1 binary64)))
(+.f64 (fma.f64 y x y) x)
(+.f64 (fma.f64 y (+.f64 x #s(literal 1 binary64)) x) (fma.f64 x #s(literal 1 binary64) x))
(+.f64 (fma.f64 y (+.f64 x #s(literal 1 binary64)) x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) x))
(+.f64 (fma.f64 y (+.f64 x #s(literal 1 binary64)) x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x))
(+.f64 (+.f64 y x) (*.f64 y x))
(*.f64 (fma.f64 y (+.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 x #s(literal 1 binary64)) x))
(*.f64 (cbrt.f64 (fma.f64 y (+.f64 x #s(literal 1 binary64)) x)) (pow.f64 (cbrt.f64 (fma.f64 y (+.f64 x #s(literal 1 binary64)) x)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 y (+.f64 x #s(literal 1 binary64)) x)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 y (+.f64 x #s(literal 1 binary64)) x)))
(*.f64 (pow.f64 (fma.f64 y (+.f64 x #s(literal 1 binary64)) x) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 x #s(literal 1 binary64)) x)))
(*.f64 (sqrt.f64 (fma.f64 y (+.f64 x #s(literal 1 binary64)) x)) (sqrt.f64 (fma.f64 y (+.f64 x #s(literal 1 binary64)) x)))
(*.f64 (+.f64 (pow.f64 (fma.f64 y x y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (fma.f64 y (+.f64 x #s(literal 1 binary64)) x) #s(literal 2 binary64)) (*.f64 x (fma.f64 y x y)))))
(*.f64 (+.f64 (sqrt.f64 (fma.f64 y x y)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (fma.f64 y x y)) (sqrt.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (fma.f64 y (+.f64 x #s(literal 1 binary64)) x) #s(literal 2 binary64)) (*.f64 x (fma.f64 y x y))) (+.f64 (pow.f64 (fma.f64 y x y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (+.f64 x #s(literal 1 binary64)) x) (pow.f64 (fma.f64 y (+.f64 x #s(literal 1 binary64)) x) #s(literal 2 binary64))))
(/.f64 (pow.f64 (fma.f64 y (+.f64 x #s(literal 1 binary64)) x) #s(literal 2 binary64)) (fma.f64 y (+.f64 x #s(literal 1 binary64)) x))
(/.f64 (+.f64 (pow.f64 (fma.f64 y x y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (fma.f64 y (+.f64 x #s(literal 1 binary64)) x) #s(literal 2 binary64)) (*.f64 x (fma.f64 y x y))))
(/.f64 (+.f64 (pow.f64 (fma.f64 y x y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (fma.f64 y x y) #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 x (fma.f64 y x y)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 y x y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (fma.f64 y (+.f64 x #s(literal 1 binary64)) x) #s(literal 2 binary64)) (*.f64 x (fma.f64 y x y)))))
(/.f64 (neg.f64 (pow.f64 (fma.f64 y (+.f64 x #s(literal 1 binary64)) x) #s(literal 2 binary64))) (neg.f64 (fma.f64 y (+.f64 x #s(literal 1 binary64)) x)))
(/.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 (+.f64 y x) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (-.f64 (*.f64 (+.f64 y x) (+.f64 y x)) (*.f64 (*.f64 y x) (+.f64 y x)))))
(/.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 (+.f64 y x) (+.f64 y x))) (-.f64 (*.f64 y x) (+.f64 y x)))
(pow.f64 (fma.f64 y (+.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 y (+.f64 x #s(literal 1 binary64)) x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 y (+.f64 x #s(literal 1 binary64)) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 y (+.f64 x #s(literal 1 binary64)) x)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 y (+.f64 x #s(literal 1 binary64)) x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 y (+.f64 x #s(literal 1 binary64)) x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 y (+.f64 x #s(literal 1 binary64)) x))))
(cbrt.f64 (pow.f64 (fma.f64 y (+.f64 x #s(literal 1 binary64)) x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 y (+.f64 x #s(literal 1 binary64)) x)))
(log1p.f64 (expm1.f64 (fma.f64 y (+.f64 x #s(literal 1 binary64)) x)))
(exp.f64 (log.f64 (fma.f64 y (+.f64 x #s(literal 1 binary64)) x)))
(exp.f64 (*.f64 (log.f64 (fma.f64 y (+.f64 x #s(literal 1 binary64)) x)) #s(literal 1 binary64)))
(fma.f64 y x (+.f64 y x))
(fma.f64 y (+.f64 x #s(literal 1 binary64)) x)
(fma.f64 x y (+.f64 y x))
(fma.f64 (fma.f64 y x y) #s(literal 1 binary64) x)
(fma.f64 #s(literal 1 binary64) (*.f64 y x) (+.f64 y x))
(fma.f64 #s(literal 1 binary64) (fma.f64 y x y) x)
(fma.f64 (+.f64 x #s(literal 1 binary64)) y x)
(fma.f64 (cbrt.f64 (fma.f64 y x y)) (pow.f64 (cbrt.f64 (fma.f64 y x y)) #s(literal 2 binary64)) x)
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 y x y)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 y x y)) x)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) y) x)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 y x)) (+.f64 y x))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) (+.f64 x #s(literal 1 binary64))) x)
(fma.f64 (sqrt.f64 (fma.f64 y x y)) (sqrt.f64 (fma.f64 y x y)) x)
(fma.f64 (hypot.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 (hypot.f64 #s(literal 1 binary64) (sqrt.f64 x)) y) x)
(fma.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 (*.f64 y x)) (+.f64 y x))
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (+.f64 x #s(literal 1 binary64))) x)
(fma.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 y (-.f64 y (*.f64 y x))))) x)
(fma.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 y (-.f64 x #s(literal 1 binary64)))) x)
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 2 binary64))) (cbrt.f64 (+.f64 x #s(literal 1 binary64))) x)
(fma.f64 (*.f64 y (hypot.f64 #s(literal 1 binary64) (sqrt.f64 x))) (hypot.f64 #s(literal 1 binary64) (sqrt.f64 x)) x)
(fma.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) x)
(fma.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 y)) (sqrt.f64 y) x)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 y x y))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 y (-.f64 x #s(literal 1 binary64)))) (/.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 y (-.f64 x #s(literal 1 binary64)))))
(*.f64 y (+.f64 x #s(literal 1 binary64)))
(*.f64 (fma.f64 y x y) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 y x y))
(*.f64 (+.f64 x #s(literal 1 binary64)) y)
(*.f64 (cbrt.f64 (fma.f64 y x y)) (pow.f64 (cbrt.f64 (fma.f64 y x y)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 y x y)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 y x y)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) y))
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) (+.f64 x #s(literal 1 binary64))))
(*.f64 (sqrt.f64 (fma.f64 y x y)) (sqrt.f64 (fma.f64 y x y)))
(*.f64 (hypot.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 (hypot.f64 #s(literal 1 binary64) (sqrt.f64 x)) y))
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(cbrt.f64 (pow.f64 (fma.f64 y x y) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 y x y)))
(log1p.f64 (expm1.f64 (fma.f64 y x y)))
(exp.f64 (+.f64 (log1p.f64 x) (log.f64 y)))
(exp.f64 (*.f64 (+.f64 (log1p.f64 x) (log.f64 y)) #s(literal 1 binary64)))
(fma.f64 y x y)
(fma.f64 y #s(literal 1 binary64) (*.f64 y x))
(fma.f64 x y y)
(fma.f64 #s(literal 1 binary64) y (*.f64 y x))
(fma.f64 #s(literal 1 binary64) (*.f64 y x) y)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 y x)) y)
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 y) (*.f64 y x))
(fma.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 (*.f64 y x)) y)
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) (*.f64 y x))

simplify2.8s (39%)

Algorithm
egg-herbie
Rules
938×fmm-def
297×associate-*l*
286×associate-*r*
256×unswap-sqr
238×fma-define
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
052010472
111329711
247549594
Stop Event
node limit
Counts
416 → 343
Calls
Call 1
Inputs
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 #s(literal -1 binary64) x)
(-.f64 (*.f64 y (+.f64 #s(literal 1 binary64) x)) x)
(-.f64 (*.f64 y (+.f64 #s(literal 1 binary64) x)) x)
(-.f64 (*.f64 y (+.f64 #s(literal 1 binary64) x)) x)
(*.f64 y (+.f64 #s(literal 1 binary64) x))
(*.f64 y (+.f64 #s(literal 1 binary64) (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 x y)))))
(*.f64 y (+.f64 #s(literal 1 binary64) (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 x y)))))
(*.f64 y (+.f64 #s(literal 1 binary64) (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 x y)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) x) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 x y)) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 x y)) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 x y)) #s(literal 1 binary64))))
y
(+.f64 y (*.f64 x (-.f64 y #s(literal 1 binary64))))
(+.f64 y (*.f64 x (-.f64 y #s(literal 1 binary64))))
(+.f64 y (*.f64 x (-.f64 y #s(literal 1 binary64))))
(*.f64 x (-.f64 y #s(literal 1 binary64)))
(*.f64 x (-.f64 (+.f64 y (/.f64 y x)) #s(literal 1 binary64)))
(*.f64 x (-.f64 (+.f64 y (/.f64 y x)) #s(literal 1 binary64)))
(*.f64 x (-.f64 (+.f64 y (/.f64 y x)) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) y))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 y x))))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 y x))))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 y x))))))
(*.f64 y (+.f64 #s(literal 1 binary64) x))
(*.f64 y (+.f64 #s(literal 1 binary64) x))
(*.f64 y (+.f64 #s(literal 1 binary64) x))
(*.f64 y (+.f64 #s(literal 1 binary64) x))
(*.f64 y (+.f64 #s(literal 1 binary64) x))
(*.f64 y (+.f64 #s(literal 1 binary64) x))
(*.f64 y (+.f64 #s(literal 1 binary64) x))
(*.f64 y (+.f64 #s(literal 1 binary64) x))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) x) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) x) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) x) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) x) #s(literal 1 binary64))))
y
(+.f64 y (*.f64 x y))
(+.f64 y (*.f64 x y))
(+.f64 y (*.f64 x y))
(*.f64 x y)
(*.f64 x (+.f64 y (/.f64 y x)))
(*.f64 x (+.f64 y (/.f64 y x)))
(*.f64 x (+.f64 y (/.f64 y x)))
(*.f64 x y)
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 y x)))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 y x)))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 y x)))))
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) x)
(+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 x y))
(+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 x y))
(+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 x y))
(*.f64 x y)
(*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 x y))))
(*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 x y))))
(*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 x y))))
(*.f64 x y)
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 x y))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 x y))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 x y))))
#s(literal -1 binary64)
y
(*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
(*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
(*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
y
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))))
#s(literal 1 binary64)
x
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
x
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
y
(+.f64 y (*.f64 x y))
(+.f64 y (*.f64 x y))
(+.f64 y (*.f64 x y))
(*.f64 x y)
(*.f64 x (+.f64 y (/.f64 y x)))
(*.f64 x (+.f64 y (/.f64 y x)))
(*.f64 x (+.f64 y (/.f64 y x)))
(*.f64 x y)
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 y x)))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 y x)))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 y x)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y x))) #s(literal 1 binary64))
(pow.f64 (*.f64 y x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 y x)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 y) x))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y x))))
(cbrt.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 y x)))
(log1p.f64 (expm1.f64 (*.f64 y x)))
(exp.f64 (log.f64 (*.f64 y x)))
(exp.f64 (*.f64 (log.f64 (*.f64 y x)) #s(literal 1 binary64)))
(+.f64 y (*.f64 x (+.f64 y #s(literal -1 binary64))))
(+.f64 y (fma.f64 y x x))
(+.f64 x (fma.f64 y x y))
(+.f64 (*.f64 y x) (+.f64 y x))
(+.f64 (*.f64 y x) (*.f64 (+.f64 y x) #s(literal 1 binary64)))
(+.f64 (fma.f64 y x y) x)
(+.f64 (fma.f64 y (+.f64 x #s(literal 1 binary64)) x) (fma.f64 x #s(literal 1 binary64) x))
(+.f64 (fma.f64 y (+.f64 x #s(literal 1 binary64)) x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) x))
(+.f64 (fma.f64 y (+.f64 x #s(literal 1 binary64)) x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x))
(+.f64 (+.f64 y x) (*.f64 y x))
(*.f64 (fma.f64 y (+.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 x #s(literal 1 binary64)) x))
(*.f64 (cbrt.f64 (fma.f64 y (+.f64 x #s(literal 1 binary64)) x)) (pow.f64 (cbrt.f64 (fma.f64 y (+.f64 x #s(literal 1 binary64)) x)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 y (+.f64 x #s(literal 1 binary64)) x)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 y (+.f64 x #s(literal 1 binary64)) x)))
(*.f64 (pow.f64 (fma.f64 y (+.f64 x #s(literal 1 binary64)) x) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 x #s(literal 1 binary64)) x)))
(*.f64 (sqrt.f64 (fma.f64 y (+.f64 x #s(literal 1 binary64)) x)) (sqrt.f64 (fma.f64 y (+.f64 x #s(literal 1 binary64)) x)))
(*.f64 (+.f64 (pow.f64 (fma.f64 y x y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (fma.f64 y (+.f64 x #s(literal 1 binary64)) x) #s(literal 2 binary64)) (*.f64 x (fma.f64 y x y)))))
(*.f64 (+.f64 (sqrt.f64 (fma.f64 y x y)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (fma.f64 y x y)) (sqrt.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (fma.f64 y (+.f64 x #s(literal 1 binary64)) x) #s(literal 2 binary64)) (*.f64 x (fma.f64 y x y))) (+.f64 (pow.f64 (fma.f64 y x y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (+.f64 x #s(literal 1 binary64)) x) (pow.f64 (fma.f64 y (+.f64 x #s(literal 1 binary64)) x) #s(literal 2 binary64))))
(/.f64 (pow.f64 (fma.f64 y (+.f64 x #s(literal 1 binary64)) x) #s(literal 2 binary64)) (fma.f64 y (+.f64 x #s(literal 1 binary64)) x))
(/.f64 (+.f64 (pow.f64 (fma.f64 y x y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (fma.f64 y (+.f64 x #s(literal 1 binary64)) x) #s(literal 2 binary64)) (*.f64 x (fma.f64 y x y))))
(/.f64 (+.f64 (pow.f64 (fma.f64 y x y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (fma.f64 y x y) #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 x (fma.f64 y x y)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 y x y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (fma.f64 y (+.f64 x #s(literal 1 binary64)) x) #s(literal 2 binary64)) (*.f64 x (fma.f64 y x y)))))
(/.f64 (neg.f64 (pow.f64 (fma.f64 y (+.f64 x #s(literal 1 binary64)) x) #s(literal 2 binary64))) (neg.f64 (fma.f64 y (+.f64 x #s(literal 1 binary64)) x)))
(/.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 (+.f64 y x) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (-.f64 (*.f64 (+.f64 y x) (+.f64 y x)) (*.f64 (*.f64 y x) (+.f64 y x)))))
(/.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 (+.f64 y x) (+.f64 y x))) (-.f64 (*.f64 y x) (+.f64 y x)))
(pow.f64 (fma.f64 y (+.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 y (+.f64 x #s(literal 1 binary64)) x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 y (+.f64 x #s(literal 1 binary64)) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 y (+.f64 x #s(literal 1 binary64)) x)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 y (+.f64 x #s(literal 1 binary64)) x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 y (+.f64 x #s(literal 1 binary64)) x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 y (+.f64 x #s(literal 1 binary64)) x))))
(cbrt.f64 (pow.f64 (fma.f64 y (+.f64 x #s(literal 1 binary64)) x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 y (+.f64 x #s(literal 1 binary64)) x)))
(log1p.f64 (expm1.f64 (fma.f64 y (+.f64 x #s(literal 1 binary64)) x)))
(exp.f64 (log.f64 (fma.f64 y (+.f64 x #s(literal 1 binary64)) x)))
(exp.f64 (*.f64 (log.f64 (fma.f64 y (+.f64 x #s(literal 1 binary64)) x)) #s(literal 1 binary64)))
(fma.f64 y x (+.f64 y x))
(fma.f64 y (+.f64 x #s(literal 1 binary64)) x)
(fma.f64 x y (+.f64 y x))
(fma.f64 (fma.f64 y x y) #s(literal 1 binary64) x)
(fma.f64 #s(literal 1 binary64) (*.f64 y x) (+.f64 y x))
(fma.f64 #s(literal 1 binary64) (fma.f64 y x y) x)
(fma.f64 (+.f64 x #s(literal 1 binary64)) y x)
(fma.f64 (cbrt.f64 (fma.f64 y x y)) (pow.f64 (cbrt.f64 (fma.f64 y x y)) #s(literal 2 binary64)) x)
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 y x y)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 y x y)) x)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) y) x)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 y x)) (+.f64 y x))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) (+.f64 x #s(literal 1 binary64))) x)
(fma.f64 (sqrt.f64 (fma.f64 y x y)) (sqrt.f64 (fma.f64 y x y)) x)
(fma.f64 (hypot.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 (hypot.f64 #s(literal 1 binary64) (sqrt.f64 x)) y) x)
(fma.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 (*.f64 y x)) (+.f64 y x))
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (+.f64 x #s(literal 1 binary64))) x)
(fma.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 y (-.f64 y (*.f64 y x))))) x)
(fma.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 y (-.f64 x #s(literal 1 binary64)))) x)
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 2 binary64))) (cbrt.f64 (+.f64 x #s(literal 1 binary64))) x)
(fma.f64 (*.f64 y (hypot.f64 #s(literal 1 binary64) (sqrt.f64 x))) (hypot.f64 #s(literal 1 binary64) (sqrt.f64 x)) x)
(fma.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) x)
(fma.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 y)) (sqrt.f64 y) x)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 y x y))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 y (-.f64 x #s(literal 1 binary64)))) (/.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 y (-.f64 x #s(literal 1 binary64)))))
(*.f64 y (+.f64 x #s(literal 1 binary64)))
(*.f64 (fma.f64 y x y) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 y x y))
(*.f64 (+.f64 x #s(literal 1 binary64)) y)
(*.f64 (cbrt.f64 (fma.f64 y x y)) (pow.f64 (cbrt.f64 (fma.f64 y x y)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 y x y)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 y x y)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) y))
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) (+.f64 x #s(literal 1 binary64))))
(*.f64 (sqrt.f64 (fma.f64 y x y)) (sqrt.f64 (fma.f64 y x y)))
(*.f64 (hypot.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 (hypot.f64 #s(literal 1 binary64) (sqrt.f64 x)) y))
(*.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (+.f64 x #s(literal 1 binary64))))
(*.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 y (-.f64 y (*.f64 y x))))))
(*.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 y (-.f64 x #s(literal 1 binary64)))))
(*.f64 (*.f64 y (pow.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 2 binary64))) (cbrt.f64 (+.f64 x #s(literal 1 binary64))))
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(fma.f64 #s(literal 1 binary64) (*.f64 y x) y)
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(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 y) (*.f64 y x))
(fma.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 (*.f64 y x)) y)
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) (*.f64 y x))
Outputs
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 #s(literal -1 binary64) x)
(neg.f64 x)
(-.f64 (*.f64 y (+.f64 #s(literal 1 binary64) x)) x)
(-.f64 (fma.f64 x y y) x)
(fma.f64 x (+.f64 y #s(literal -1 binary64)) y)
(-.f64 (*.f64 y (+.f64 #s(literal 1 binary64) x)) x)
(-.f64 (fma.f64 x y y) x)
(fma.f64 x (+.f64 y #s(literal -1 binary64)) y)
(-.f64 (*.f64 y (+.f64 #s(literal 1 binary64) x)) x)
(-.f64 (fma.f64 x y y) x)
(fma.f64 x (+.f64 y #s(literal -1 binary64)) y)
(*.f64 y (+.f64 #s(literal 1 binary64) x))
(fma.f64 x y y)
(*.f64 y (+.f64 #s(literal 1 binary64) (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 x y)))))
(*.f64 y (+.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 (neg.f64 x) y)))
(*.f64 y (+.f64 #s(literal 1 binary64) (-.f64 x (/.f64 x y))))
(*.f64 y (+.f64 x (-.f64 #s(literal 1 binary64) (/.f64 x y))))
(*.f64 y (+.f64 #s(literal 1 binary64) (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 x y)))))
(*.f64 y (+.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 (neg.f64 x) y)))
(*.f64 y (+.f64 #s(literal 1 binary64) (-.f64 x (/.f64 x y))))
(*.f64 y (+.f64 x (-.f64 #s(literal 1 binary64) (/.f64 x y))))
(*.f64 y (+.f64 #s(literal 1 binary64) (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 x y)))))
(*.f64 y (+.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 (neg.f64 x) y)))
(*.f64 y (+.f64 #s(literal 1 binary64) (-.f64 x (/.f64 x y))))
(*.f64 y (+.f64 x (-.f64 #s(literal 1 binary64) (/.f64 x y))))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) x) #s(literal 1 binary64))))
(fma.f64 x y y)
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 x y)) #s(literal 1 binary64))))
(*.f64 y (+.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 (neg.f64 x) y)))
(*.f64 y (+.f64 #s(literal 1 binary64) (-.f64 x (/.f64 x y))))
(*.f64 y (+.f64 x (-.f64 #s(literal 1 binary64) (/.f64 x y))))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 x y)) #s(literal 1 binary64))))
(*.f64 y (+.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 (neg.f64 x) y)))
(*.f64 y (+.f64 #s(literal 1 binary64) (-.f64 x (/.f64 x y))))
(*.f64 y (+.f64 x (-.f64 #s(literal 1 binary64) (/.f64 x y))))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 x y)) #s(literal 1 binary64))))
(*.f64 y (+.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 (neg.f64 x) y)))
(*.f64 y (+.f64 #s(literal 1 binary64) (-.f64 x (/.f64 x y))))
(*.f64 y (+.f64 x (-.f64 #s(literal 1 binary64) (/.f64 x y))))
y
(+.f64 y (*.f64 x (-.f64 y #s(literal 1 binary64))))
(-.f64 (fma.f64 x y y) x)
(fma.f64 x (+.f64 y #s(literal -1 binary64)) y)
(+.f64 y (*.f64 x (-.f64 y #s(literal 1 binary64))))
(-.f64 (fma.f64 x y y) x)
(fma.f64 x (+.f64 y #s(literal -1 binary64)) y)
(+.f64 y (*.f64 x (-.f64 y #s(literal 1 binary64))))
(-.f64 (fma.f64 x y y) x)
(fma.f64 x (+.f64 y #s(literal -1 binary64)) y)
(*.f64 x (-.f64 y #s(literal 1 binary64)))
(*.f64 x (+.f64 y #s(literal -1 binary64)))
(*.f64 x (-.f64 (+.f64 y (/.f64 y x)) #s(literal 1 binary64)))
(*.f64 x (+.f64 y (-.f64 (/.f64 y x) #s(literal 1 binary64))))
(*.f64 x (+.f64 y (+.f64 (/.f64 y x) #s(literal -1 binary64))))
(*.f64 x (+.f64 (/.f64 y x) (+.f64 y #s(literal -1 binary64))))
(*.f64 x (-.f64 (+.f64 y (/.f64 y x)) #s(literal 1 binary64)))
(*.f64 x (+.f64 y (-.f64 (/.f64 y x) #s(literal 1 binary64))))
(*.f64 x (+.f64 y (+.f64 (/.f64 y x) #s(literal -1 binary64))))
(*.f64 x (+.f64 (/.f64 y x) (+.f64 y #s(literal -1 binary64))))
(*.f64 x (-.f64 (+.f64 y (/.f64 y x)) #s(literal 1 binary64)))
(*.f64 x (+.f64 y (-.f64 (/.f64 y x) #s(literal 1 binary64))))
(*.f64 x (+.f64 y (+.f64 (/.f64 y x) #s(literal -1 binary64))))
(*.f64 x (+.f64 (/.f64 y x) (+.f64 y #s(literal -1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) y))))
(*.f64 x (+.f64 y #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 y x))))))
(*.f64 x (+.f64 y (-.f64 (/.f64 y x) #s(literal 1 binary64))))
(*.f64 x (+.f64 y (+.f64 (/.f64 y x) #s(literal -1 binary64))))
(*.f64 x (+.f64 (/.f64 y x) (+.f64 y #s(literal -1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 y x))))))
(*.f64 x (+.f64 y (-.f64 (/.f64 y x) #s(literal 1 binary64))))
(*.f64 x (+.f64 y (+.f64 (/.f64 y x) #s(literal -1 binary64))))
(*.f64 x (+.f64 (/.f64 y x) (+.f64 y #s(literal -1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 y x))))))
(*.f64 x (+.f64 y (-.f64 (/.f64 y x) #s(literal 1 binary64))))
(*.f64 x (+.f64 y (+.f64 (/.f64 y x) #s(literal -1 binary64))))
(*.f64 x (+.f64 (/.f64 y x) (+.f64 y #s(literal -1 binary64))))
(*.f64 y (+.f64 #s(literal 1 binary64) x))
(fma.f64 x y y)
(*.f64 y (+.f64 #s(literal 1 binary64) x))
(fma.f64 x y y)
(*.f64 y (+.f64 #s(literal 1 binary64) x))
(fma.f64 x y y)
(*.f64 y (+.f64 #s(literal 1 binary64) x))
(fma.f64 x y y)
(*.f64 y (+.f64 #s(literal 1 binary64) x))
(fma.f64 x y y)
(*.f64 y (+.f64 #s(literal 1 binary64) x))
(fma.f64 x y y)
(*.f64 y (+.f64 #s(literal 1 binary64) x))
(fma.f64 x y y)
(*.f64 y (+.f64 #s(literal 1 binary64) x))
(fma.f64 x y y)
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) x) #s(literal 1 binary64))))
(fma.f64 x y y)
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) x) #s(literal 1 binary64))))
(fma.f64 x y y)
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) x) #s(literal 1 binary64))))
(fma.f64 x y y)
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) x) #s(literal 1 binary64))))
(fma.f64 x y y)
y
(+.f64 y (*.f64 x y))
(fma.f64 x y y)
(+.f64 y (*.f64 x y))
(fma.f64 x y y)
(+.f64 y (*.f64 x y))
(fma.f64 x y y)
(*.f64 x y)
(*.f64 x (+.f64 y (/.f64 y x)))
(*.f64 x (+.f64 y (/.f64 y x)))
(*.f64 x (+.f64 y (/.f64 y x)))
(*.f64 x y)
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 y x)))))
(*.f64 x (+.f64 y (/.f64 y x)))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 y x)))))
(*.f64 x (+.f64 y (/.f64 y x)))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 y x)))))
(*.f64 x (+.f64 y (/.f64 y x)))
(*.f64 #s(literal -1 binary64) x)
(neg.f64 x)
(*.f64 #s(literal -1 binary64) x)
(neg.f64 x)
(*.f64 #s(literal -1 binary64) x)
(neg.f64 x)
(*.f64 #s(literal -1 binary64) x)
(neg.f64 x)
(*.f64 #s(literal -1 binary64) x)
(neg.f64 x)
(*.f64 #s(literal -1 binary64) x)
(neg.f64 x)
(*.f64 #s(literal -1 binary64) x)
(neg.f64 x)
(*.f64 #s(literal -1 binary64) x)
(neg.f64 x)
(*.f64 #s(literal -1 binary64) x)
(neg.f64 x)
(*.f64 #s(literal -1 binary64) x)
(neg.f64 x)
(*.f64 #s(literal -1 binary64) x)
(neg.f64 x)
(*.f64 #s(literal -1 binary64) x)
(neg.f64 x)
(*.f64 #s(literal -1 binary64) x)
(neg.f64 x)
(+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 x y))
(*.f64 x (+.f64 y #s(literal -1 binary64)))
(+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 x y))
(*.f64 x (+.f64 y #s(literal -1 binary64)))
(+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 x y))
(*.f64 x (+.f64 y #s(literal -1 binary64)))
(*.f64 x y)
(*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 x y))))
(*.f64 y (+.f64 x (/.f64 (neg.f64 x) y)))
(*.f64 y (-.f64 x (/.f64 x y)))
(*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 x y))))
(*.f64 y (+.f64 x (/.f64 (neg.f64 x) y)))
(*.f64 y (-.f64 x (/.f64 x y)))
(*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 x y))))
(*.f64 y (+.f64 x (/.f64 (neg.f64 x) y)))
(*.f64 y (-.f64 x (/.f64 x y)))
(*.f64 x y)
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 x y))))
(*.f64 y (+.f64 x (/.f64 (neg.f64 x) y)))
(*.f64 y (-.f64 x (/.f64 x y)))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 x y))))
(*.f64 y (+.f64 x (/.f64 (neg.f64 x) y)))
(*.f64 y (-.f64 x (/.f64 x y)))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 x y))))
(*.f64 y (+.f64 x (/.f64 (neg.f64 x) y)))
(*.f64 y (-.f64 x (/.f64 x y)))
#s(literal -1 binary64)
y
(*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
(*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
(*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
y
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))))
(*.f64 (neg.f64 y) (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)))
(*.f64 (neg.f64 y) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) y)))
(neg.f64 (-.f64 #s(literal 1 binary64) y))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))))
(*.f64 (neg.f64 y) (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)))
(*.f64 (neg.f64 y) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) y)))
(neg.f64 (-.f64 #s(literal 1 binary64) y))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))))
(*.f64 (neg.f64 y) (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)))
(*.f64 (neg.f64 y) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) y)))
(neg.f64 (-.f64 #s(literal 1 binary64) y))
#s(literal 1 binary64)
x
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(+.f64 x #s(literal 1 binary64))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(+.f64 x #s(literal 1 binary64))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(+.f64 x #s(literal 1 binary64))
x
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(+.f64 x #s(literal 1 binary64))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(+.f64 x #s(literal 1 binary64))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(+.f64 x #s(literal 1 binary64))
y
(+.f64 y (*.f64 x y))
(fma.f64 x y y)
(+.f64 y (*.f64 x y))
(fma.f64 x y y)
(+.f64 y (*.f64 x y))
(fma.f64 x y y)
(*.f64 x y)
(*.f64 x (+.f64 y (/.f64 y x)))
(*.f64 x (+.f64 y (/.f64 y x)))
(*.f64 x (+.f64 y (/.f64 y x)))
(*.f64 x y)
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 y x)))))
(*.f64 x (+.f64 y (/.f64 y x)))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 y x)))))
(*.f64 x (+.f64 y (/.f64 y x)))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 y x)))))
(*.f64 x (+.f64 y (/.f64 y x)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y x))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (*.f64 x y)))
(pow.f64 (*.f64 y x) #s(literal 1 binary64))
(*.f64 x y)
(pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 3 binary64))
(*.f64 x y)
(pow.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 x y)
(pow.f64 (sqrt.f64 (*.f64 y x)) #s(literal 2 binary64))
(*.f64 x y)
(sqrt.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)))
(*.f64 x y)
(log.f64 (pow.f64 (exp.f64 y) x))
(*.f64 x y)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y x))))
(*.f64 x y)
(cbrt.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)))
(*.f64 x y)
(expm1.f64 (log1p.f64 (*.f64 y x)))
(expm1.f64 (log1p.f64 (*.f64 x y)))
(log1p.f64 (expm1.f64 (*.f64 y x)))
(*.f64 x y)
(exp.f64 (log.f64 (*.f64 y x)))
(*.f64 x y)
(exp.f64 (*.f64 (log.f64 (*.f64 y x)) #s(literal 1 binary64)))
(*.f64 x y)
(+.f64 y (*.f64 x (+.f64 y #s(literal -1 binary64))))
(-.f64 (fma.f64 x y y) x)
(fma.f64 x (+.f64 y #s(literal -1 binary64)) y)
(+.f64 y (fma.f64 y x x))
(fma.f64 y (+.f64 x #s(literal 1 binary64)) x)
(fma.f64 (+.f64 y #s(literal 1 binary64)) x y)
(+.f64 x (fma.f64 y x y))
(fma.f64 y (+.f64 x #s(literal 1 binary64)) x)
(fma.f64 (+.f64 y #s(literal 1 binary64)) x y)
(+.f64 (*.f64 y x) (+.f64 y x))
(fma.f64 y (+.f64 x #s(literal 1 binary64)) x)
(fma.f64 (+.f64 y #s(literal 1 binary64)) x y)
(+.f64 (*.f64 y x) (*.f64 (+.f64 y x) #s(literal 1 binary64)))
(fma.f64 y (+.f64 x #s(literal 1 binary64)) x)
(fma.f64 (+.f64 y #s(literal 1 binary64)) x y)
(+.f64 (fma.f64 y x y) x)
(fma.f64 y (+.f64 x #s(literal 1 binary64)) x)
(fma.f64 (+.f64 y #s(literal 1 binary64)) x y)
(+.f64 (fma.f64 y (+.f64 x #s(literal 1 binary64)) x) (fma.f64 x #s(literal 1 binary64) x))
(+.f64 (fma.f64 y (+.f64 x #s(literal 1 binary64)) x) (+.f64 x x))
(+.f64 (fma.f64 y (+.f64 x #s(literal 1 binary64)) x) (*.f64 x #s(literal 2 binary64)))
(+.f64 (fma.f64 (+.f64 y #s(literal 1 binary64)) x y) (*.f64 x #s(literal 2 binary64)))
(+.f64 (fma.f64 y (+.f64 x #s(literal 1 binary64)) x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) x))
(fma.f64 y (+.f64 x #s(literal 1 binary64)) x)
(fma.f64 (+.f64 y #s(literal 1 binary64)) x y)
(+.f64 (fma.f64 y (+.f64 x #s(literal 1 binary64)) x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x))
(fma.f64 y (+.f64 x #s(literal 1 binary64)) x)
(fma.f64 (+.f64 y #s(literal 1 binary64)) x y)
(+.f64 (+.f64 y x) (*.f64 y x))
(fma.f64 y (+.f64 x #s(literal 1 binary64)) x)
(fma.f64 (+.f64 y #s(literal 1 binary64)) x y)
(*.f64 (fma.f64 y (+.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64))
(fma.f64 y (+.f64 x #s(literal 1 binary64)) x)
(fma.f64 (+.f64 y #s(literal 1 binary64)) x y)
(*.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 x #s(literal 1 binary64)) x))
(fma.f64 y (+.f64 x #s(literal 1 binary64)) x)
(fma.f64 (+.f64 y #s(literal 1 binary64)) x y)
(*.f64 (cbrt.f64 (fma.f64 y (+.f64 x #s(literal 1 binary64)) x)) (pow.f64 (cbrt.f64 (fma.f64 y (+.f64 x #s(literal 1 binary64)) x)) #s(literal 2 binary64)))
(fma.f64 y (+.f64 x #s(literal 1 binary64)) x)
(fma.f64 (+.f64 y #s(literal 1 binary64)) x y)
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 y (+.f64 x #s(literal 1 binary64)) x)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 y (+.f64 x #s(literal 1 binary64)) x)))
(fma.f64 y (+.f64 x #s(literal 1 binary64)) x)
(fma.f64 (+.f64 y #s(literal 1 binary64)) x y)
(*.f64 (pow.f64 (fma.f64 y (+.f64 x #s(literal 1 binary64)) x) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 x #s(literal 1 binary64)) x)))
(fma.f64 y (+.f64 x #s(literal 1 binary64)) x)
(fma.f64 (+.f64 y #s(literal 1 binary64)) x y)
(*.f64 (sqrt.f64 (fma.f64 y (+.f64 x #s(literal 1 binary64)) x)) (sqrt.f64 (fma.f64 y (+.f64 x #s(literal 1 binary64)) x)))
(fma.f64 y (+.f64 x #s(literal 1 binary64)) x)
(fma.f64 (+.f64 y #s(literal 1 binary64)) x y)
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(expm1.f64 (log1p.f64 (fma.f64 y x y)))
(expm1.f64 (log1p.f64 (fma.f64 x y y)))
(log1p.f64 (expm1.f64 (fma.f64 y x y)))
(fma.f64 x y y)
(exp.f64 (+.f64 (log1p.f64 x) (log.f64 y)))
(fma.f64 x y y)
(exp.f64 (*.f64 (+.f64 (log1p.f64 x) (log.f64 y)) #s(literal 1 binary64)))
(fma.f64 x y y)
(fma.f64 y x y)
(fma.f64 x y y)
(fma.f64 y #s(literal 1 binary64) (*.f64 y x))
(fma.f64 x y y)
(fma.f64 x y y)
(fma.f64 #s(literal 1 binary64) y (*.f64 y x))
(fma.f64 x y y)
(fma.f64 #s(literal 1 binary64) (*.f64 y x) y)
(fma.f64 x y y)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 y x)) y)
(fma.f64 x y y)
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 y) (*.f64 y x))
(fma.f64 x y y)
(fma.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 (*.f64 y x)) y)
(fma.f64 x y y)
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) (*.f64 y x))
(fma.f64 x y y)

eval200.0ms (2.8%)

Compiler

Compiled 3811 to 826 computations (78.3% saved)

prune49.0ms (0.7%)

Pruning

7 alts after pruning (3 fresh and 4 done)

PrunedKeptTotal
New3412343
Fresh011
Picked145
Done000
Total3427349
Accuracy
100.0%
Counts
349 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(-.f64 (+.f64 (*.f64 y x) y) x)
73.0%
(-.f64 (*.f64 #s(literal 1 binary64) y) x)
62.2%
(+.f64 (*.f64 y x) y)
29.1%
(*.f64 y x)
66.2%
(*.f64 x (-.f64 y #s(literal 1 binary64)))
39.7%
(neg.f64 x)
35.5%
y
Compiler

Compiled 42 to 27 computations (35.7% saved)

simplify25.0ms (0.4%)

Algorithm
egg-herbie
Localize:

Found 5 expressions of interest:

NewMetricScoreProgram
cost-diff128
(*.f64 #s(literal 1 binary64) y)
cost-diff128
(-.f64 (*.f64 #s(literal 1 binary64) y) x)
cost-diff-6272
(+.f64 (*.f64 y x) y)
cost-diff0
(*.f64 y x)
cost-diff0
(*.f64 y x)
Rules
171×fma-define
76×fmm-def
27×distribute-lft-in
24×associate-*r*
19×cancel-sign-sub-inv
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01286
12886
24886
36786
49586
514686
621986
727286
846786
960986
1061586
Stop Event
saturated
Calls
Call 1
Inputs
(*.f64 y x)
y
x
(+.f64 (*.f64 y x) y)
(*.f64 y x)
y
x
(-.f64 (*.f64 #s(literal 1 binary64) y) x)
(*.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
y
x
Outputs
(*.f64 y x)
y
x
(+.f64 (*.f64 y x) y)
(fma.f64 y x y)
(*.f64 y x)
y
x
(-.f64 (*.f64 #s(literal 1 binary64) y) x)
(-.f64 y x)
(*.f64 #s(literal 1 binary64) y)
y
#s(literal 1 binary64)
y
x

localize139.0ms (2%)

Localize:

Found 5 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(-.f64 (*.f64 #s(literal 1 binary64) y) x)
accuracy100.0%
(*.f64 #s(literal 1 binary64) y)
accuracy100.0%
(*.f64 y x)
accuracy100.0%
(+.f64 (*.f64 y x) y)
accuracy100.0%
(*.f64 y x)
Results
127.0ms256×0valid
Compiler

Compiled 29 to 8 computations (72.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 114.0ms
ival-mult: 111.0ms (97.6% of total)
ival-sub: 1.0ms (0.9% of total)
ival-add: 1.0ms (0.9% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series2.0ms (0%)

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

9 calls:

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

rewrite98.0ms (1.4%)

Algorithm
batch-egg-rewrite
Rules
397×log1p-expm1-u
397×expm1-log1p-u
373×prod-diff
372×add-exp-log
359×add-log-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01017
110617
2107417
Stop Event
node limit
Counts
2 → 122
Calls
Call 1
Inputs
(-.f64 (*.f64 #s(literal 1 binary64) y) x)
(*.f64 #s(literal 1 binary64) y)
Outputs
(+.f64 y (neg.f64 x))
(+.f64 y (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(+.f64 (-.f64 y x) (fma.f64 (neg.f64 x) #s(literal 1 binary64) x))
(+.f64 (-.f64 y x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) x))
(+.f64 (-.f64 y x) (+.f64 (neg.f64 x) x))
(+.f64 (-.f64 y x) (fma.f64 #s(literal -1 binary64) x x))
(+.f64 (-.f64 y x) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) x))
(+.f64 (neg.f64 x) y)
(+.f64 #s(literal 0 binary64) (-.f64 y x))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 y x)) #s(literal 2 binary64)))) (log.f64 (cbrt.f64 (exp.f64 (-.f64 y x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 y x)))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 y x)))))
(*.f64 #s(literal 1 binary64) (-.f64 y x))
(*.f64 (-.f64 y x) #s(literal 1 binary64))
(*.f64 (-.f64 y x) (log.f64 (E.f64)))
(*.f64 (cbrt.f64 (-.f64 y x)) (pow.f64 (cbrt.f64 (-.f64 y x)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 y x)) #s(literal 2 binary64)) (cbrt.f64 (-.f64 y x)))
(*.f64 (sqrt.f64 (-.f64 y x)) (sqrt.f64 (-.f64 y x)))
(*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 y x) (pow.f64 y #s(literal 2 binary64)))))
(*.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 y x)))
(*.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 x)) (-.f64 (sqrt.f64 y) (sqrt.f64 x)))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (-.f64 y x))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (-.f64 y x))) #s(literal 3 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (-.f64 y x))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (-.f64 y x) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (-.f64 y x) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (pow.f64 (*.f64 (-.f64 y x) (cbrt.f64 (-.f64 y x))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (-.f64 y x))))
(*.f64 (pow.f64 (pow.f64 (-.f64 y x) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (-.f64 y x))))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (-.f64 y x) #s(literal 3 binary64)))) (cbrt.f64 (sqrt.f64 (pow.f64 (-.f64 y x) #s(literal 3 binary64)))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (-.f64 y x) (cbrt.f64 (-.f64 y x))) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (-.f64 y x))))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 y x) #s(literal 5/2 binary64))) (cbrt.f64 (sqrt.f64 (-.f64 y x))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (+.f64 y x) (pow.f64 y #s(literal 2 binary64))) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y x) (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x (+.f64 y x) (pow.f64 y #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (+.f64 y x))
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (+.f64 y x) (pow.f64 y #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (neg.f64 (+.f64 y x)))
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (fma.f64 y y (-.f64 (pow.f64 (neg.f64 x) #s(literal 2 binary64)) (*.f64 y (neg.f64 x)))))
(/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (neg.f64 x) #s(literal 2 binary64))) (-.f64 y (neg.f64 x)))
(/.f64 (cbrt.f64 (*.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (cbrt.f64 (fma.f64 x (+.f64 y x) (pow.f64 y #s(literal 2 binary64)))))
(/.f64 (cbrt.f64 (*.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))) (cbrt.f64 (+.f64 y x)))
(pow.f64 (-.f64 y x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (-.f64 y x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (-.f64 y x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (-.f64 y x)) #s(literal 2 binary64))
(pow.f64 (E.f64) (log.f64 (-.f64 y x)))
(pow.f64 (/.f64 (fma.f64 x (+.f64 y x) (pow.f64 y #s(literal 2 binary64))) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 y x) (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) #s(literal -1 binary64))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (-.f64 y x))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (-.f64 y x))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (-.f64 y x)))) (sqrt.f64 (log.f64 (-.f64 y x))))
(sqrt.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (-.f64 y x)))
(cbrt.f64 (pow.f64 (-.f64 y x) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 (fma.f64 x (+.f64 y x) (pow.f64 y #s(literal 2 binary64))) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (+.f64 y x) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (-.f64 y x)))
(log1p.f64 (expm1.f64 (-.f64 y x)))
(exp.f64 (log.f64 (-.f64 y x)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (-.f64 y x))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 y x) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 y x))) #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) y (neg.f64 x))
(fma.f64 #s(literal 1 binary64) y (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (-.f64 y x) (fma.f64 (neg.f64 x) #s(literal 1 binary64) x))
(fma.f64 #s(literal 1 binary64) (-.f64 y x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) x))
(fma.f64 #s(literal 1 binary64) (-.f64 y x) (+.f64 (neg.f64 x) x))
(fma.f64 #s(literal 1 binary64) (neg.f64 x) y)
(fma.f64 y #s(literal 1 binary64) (neg.f64 x))
(fma.f64 y #s(literal 1 binary64) (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(fma.f64 (-.f64 y x) #s(literal 1 binary64) (fma.f64 (neg.f64 x) #s(literal 1 binary64) x))
(fma.f64 (-.f64 y x) #s(literal 1 binary64) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) x))
(fma.f64 (-.f64 y x) #s(literal 1 binary64) (+.f64 (neg.f64 x) x))
(fma.f64 (cbrt.f64 (-.f64 y x)) (pow.f64 (cbrt.f64 (-.f64 y x)) #s(literal 2 binary64)) (fma.f64 (neg.f64 x) #s(literal 1 binary64) x))
(fma.f64 (cbrt.f64 (-.f64 y x)) (pow.f64 (cbrt.f64 (-.f64 y x)) #s(literal 2 binary64)) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) x))
(fma.f64 (cbrt.f64 (-.f64 y x)) (pow.f64 (cbrt.f64 (-.f64 y x)) #s(literal 2 binary64)) (+.f64 (neg.f64 x) x))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 y x)) #s(literal 2 binary64)) (cbrt.f64 (-.f64 y x)) (fma.f64 (neg.f64 x) #s(literal 1 binary64) x))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 y x)) #s(literal 2 binary64)) (cbrt.f64 (-.f64 y x)) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) x))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 y x)) #s(literal 2 binary64)) (cbrt.f64 (-.f64 y x)) (+.f64 (neg.f64 x) x))
(fma.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (neg.f64 x))
(fma.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 y) (neg.f64 x))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 y) (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 x)) y)
(fma.f64 (sqrt.f64 (-.f64 y x)) (sqrt.f64 (-.f64 y x)) (fma.f64 (neg.f64 x) #s(literal 1 binary64) x))
(fma.f64 (sqrt.f64 (-.f64 y x)) (sqrt.f64 (-.f64 y x)) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) x))
(fma.f64 (sqrt.f64 (-.f64 y x)) (sqrt.f64 (-.f64 y x)) (+.f64 (neg.f64 x) x))
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) (neg.f64 x))
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x)) y)
(fma.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 y x) (pow.f64 y #s(literal 2 binary64)))) (fma.f64 (neg.f64 x) #s(literal 1 binary64) x))
(fma.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 y x) (pow.f64 y #s(literal 2 binary64)))) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) x))
(fma.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 y x) (pow.f64 y #s(literal 2 binary64)))) (+.f64 (neg.f64 x) x))
(fma.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 y x)) (fma.f64 (neg.f64 x) #s(literal 1 binary64) x))
(fma.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 y x)) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) x))
(fma.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 y x)) (+.f64 (neg.f64 x) x))
(fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) y)
(fma.f64 (cbrt.f64 (pow.f64 (neg.f64 x) #s(literal 2 binary64))) (cbrt.f64 (neg.f64 x)) y)
(fma.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x)) y)
(fma.f64 #s(literal -1 binary64) x y)
(fma.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 x)) (-.f64 (sqrt.f64 y) (sqrt.f64 x)) (fma.f64 (neg.f64 x) #s(literal 1 binary64) x))
(fma.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 x)) (-.f64 (sqrt.f64 y) (sqrt.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) x))
(fma.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 x)) (-.f64 (sqrt.f64 y) (sqrt.f64 x)) (+.f64 (neg.f64 x) x))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) y)
(+.f64 #s(literal 0 binary64) y)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 y)) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 y))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 y))) (log.f64 (sqrt.f64 (exp.f64 y))))
(-.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))
(pow.f64 y #s(literal 1 binary64))
(pow.f64 (cbrt.f64 y) #s(literal 3 binary64))
(pow.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 y) #s(literal 2 binary64))
(pow.f64 (E.f64) (log.f64 y))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 y)) #s(literal 2 binary64))) (cbrt.f64 (log.f64 y)))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 y))) (sqrt.f64 (log.f64 y)))
(sqrt.f64 (pow.f64 y #s(literal 2 binary64)))
(log.f64 (exp.f64 y))
(cbrt.f64 (pow.f64 y #s(literal 3 binary64)))
y
(expm1.f64 (log1p.f64 y))
(log1p.f64 (expm1.f64 y))
(exp.f64 (log.f64 y))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 y)) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 y) #s(literal 3 binary64)) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 y)) #s(literal 2 binary64)))

simplify112.0ms (1.6%)

Algorithm
egg-herbie
Rules
798×fma-define
526×distribute-lft-in
478×times-frac
469×distribute-rgt-in
236×associate-+l+
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02793775
15603600
216923561
379623561
Stop Event
node limit
Counts
158 → 151
Calls
Call 1
Inputs
(*.f64 #s(literal -1 binary64) x)
(-.f64 y x)
(-.f64 y x)
(-.f64 y x)
y
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x y))))
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x y))))
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x y))))
y
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (/.f64 x y) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (/.f64 x y) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (/.f64 x y) #s(literal 1 binary64))))
y
(+.f64 y (*.f64 #s(literal -1 binary64) x))
(+.f64 y (*.f64 #s(literal -1 binary64) x))
(+.f64 y (*.f64 #s(literal -1 binary64) x))
(*.f64 #s(literal -1 binary64) x)
(*.f64 x (-.f64 (/.f64 y x) #s(literal 1 binary64)))
(*.f64 x (-.f64 (/.f64 y x) #s(literal 1 binary64)))
(*.f64 x (-.f64 (/.f64 y x) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 y x)))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 y x)))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 y x)))))
y
y
y
y
y
y
y
y
y
y
y
y
(+.f64 y (neg.f64 x))
(+.f64 y (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(+.f64 (-.f64 y x) (fma.f64 (neg.f64 x) #s(literal 1 binary64) x))
(+.f64 (-.f64 y x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) x))
(+.f64 (-.f64 y x) (+.f64 (neg.f64 x) x))
(+.f64 (-.f64 y x) (fma.f64 #s(literal -1 binary64) x x))
(+.f64 (-.f64 y x) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) x))
(+.f64 (neg.f64 x) y)
(+.f64 #s(literal 0 binary64) (-.f64 y x))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 y x)) #s(literal 2 binary64)))) (log.f64 (cbrt.f64 (exp.f64 (-.f64 y x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 y x)))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 y x)))))
(*.f64 #s(literal 1 binary64) (-.f64 y x))
(*.f64 (-.f64 y x) #s(literal 1 binary64))
(*.f64 (-.f64 y x) (log.f64 (E.f64)))
(*.f64 (cbrt.f64 (-.f64 y x)) (pow.f64 (cbrt.f64 (-.f64 y x)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 y x)) #s(literal 2 binary64)) (cbrt.f64 (-.f64 y x)))
(*.f64 (sqrt.f64 (-.f64 y x)) (sqrt.f64 (-.f64 y x)))
(*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 y x) (pow.f64 y #s(literal 2 binary64)))))
(*.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 y x)))
(*.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 x)) (-.f64 (sqrt.f64 y) (sqrt.f64 x)))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (-.f64 y x))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (-.f64 y x))) #s(literal 3 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (-.f64 y x))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (-.f64 y x) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (-.f64 y x) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (pow.f64 (*.f64 (-.f64 y x) (cbrt.f64 (-.f64 y x))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (-.f64 y x))))
(*.f64 (pow.f64 (pow.f64 (-.f64 y x) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (-.f64 y x))))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (-.f64 y x) #s(literal 3 binary64)))) (cbrt.f64 (sqrt.f64 (pow.f64 (-.f64 y x) #s(literal 3 binary64)))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (-.f64 y x) (cbrt.f64 (-.f64 y x))) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (-.f64 y x))))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 y x) #s(literal 5/2 binary64))) (cbrt.f64 (sqrt.f64 (-.f64 y x))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (+.f64 y x) (pow.f64 y #s(literal 2 binary64))) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y x) (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x (+.f64 y x) (pow.f64 y #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (+.f64 y x))
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (+.f64 y x) (pow.f64 y #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (neg.f64 (+.f64 y x)))
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (fma.f64 y y (-.f64 (pow.f64 (neg.f64 x) #s(literal 2 binary64)) (*.f64 y (neg.f64 x)))))
(/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (neg.f64 x) #s(literal 2 binary64))) (-.f64 y (neg.f64 x)))
(/.f64 (cbrt.f64 (*.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (cbrt.f64 (fma.f64 x (+.f64 y x) (pow.f64 y #s(literal 2 binary64)))))
(/.f64 (cbrt.f64 (*.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))) (cbrt.f64 (+.f64 y x)))
(pow.f64 (-.f64 y x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (-.f64 y x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (-.f64 y x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (-.f64 y x)) #s(literal 2 binary64))
(pow.f64 (E.f64) (log.f64 (-.f64 y x)))
(pow.f64 (/.f64 (fma.f64 x (+.f64 y x) (pow.f64 y #s(literal 2 binary64))) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 y x) (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) #s(literal -1 binary64))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (-.f64 y x))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (-.f64 y x))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (-.f64 y x)))) (sqrt.f64 (log.f64 (-.f64 y x))))
(sqrt.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (-.f64 y x)))
(cbrt.f64 (pow.f64 (-.f64 y x) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 (fma.f64 x (+.f64 y x) (pow.f64 y #s(literal 2 binary64))) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (+.f64 y x) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (-.f64 y x)))
(log1p.f64 (expm1.f64 (-.f64 y x)))
(exp.f64 (log.f64 (-.f64 y x)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (-.f64 y x))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 y x) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 y x))) #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) y (neg.f64 x))
(fma.f64 #s(literal 1 binary64) y (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (-.f64 y x) (fma.f64 (neg.f64 x) #s(literal 1 binary64) x))
(fma.f64 #s(literal 1 binary64) (-.f64 y x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) x))
(fma.f64 #s(literal 1 binary64) (-.f64 y x) (+.f64 (neg.f64 x) x))
(fma.f64 #s(literal 1 binary64) (neg.f64 x) y)
(fma.f64 y #s(literal 1 binary64) (neg.f64 x))
(fma.f64 y #s(literal 1 binary64) (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(fma.f64 (-.f64 y x) #s(literal 1 binary64) (fma.f64 (neg.f64 x) #s(literal 1 binary64) x))
(fma.f64 (-.f64 y x) #s(literal 1 binary64) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) x))
(fma.f64 (-.f64 y x) #s(literal 1 binary64) (+.f64 (neg.f64 x) x))
(fma.f64 (cbrt.f64 (-.f64 y x)) (pow.f64 (cbrt.f64 (-.f64 y x)) #s(literal 2 binary64)) (fma.f64 (neg.f64 x) #s(literal 1 binary64) x))
(fma.f64 (cbrt.f64 (-.f64 y x)) (pow.f64 (cbrt.f64 (-.f64 y x)) #s(literal 2 binary64)) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) x))
(fma.f64 (cbrt.f64 (-.f64 y x)) (pow.f64 (cbrt.f64 (-.f64 y x)) #s(literal 2 binary64)) (+.f64 (neg.f64 x) x))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 y x)) #s(literal 2 binary64)) (cbrt.f64 (-.f64 y x)) (fma.f64 (neg.f64 x) #s(literal 1 binary64) x))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 y x)) #s(literal 2 binary64)) (cbrt.f64 (-.f64 y x)) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) x))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 y x)) #s(literal 2 binary64)) (cbrt.f64 (-.f64 y x)) (+.f64 (neg.f64 x) x))
(fma.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (neg.f64 x))
(fma.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 y) (neg.f64 x))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 y) (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 x)) y)
(fma.f64 (sqrt.f64 (-.f64 y x)) (sqrt.f64 (-.f64 y x)) (fma.f64 (neg.f64 x) #s(literal 1 binary64) x))
(fma.f64 (sqrt.f64 (-.f64 y x)) (sqrt.f64 (-.f64 y x)) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) x))
(fma.f64 (sqrt.f64 (-.f64 y x)) (sqrt.f64 (-.f64 y x)) (+.f64 (neg.f64 x) x))
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) (neg.f64 x))
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x)) y)
(fma.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 y x) (pow.f64 y #s(literal 2 binary64)))) (fma.f64 (neg.f64 x) #s(literal 1 binary64) x))
(fma.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 y x) (pow.f64 y #s(literal 2 binary64)))) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) x))
(fma.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 y x) (pow.f64 y #s(literal 2 binary64)))) (+.f64 (neg.f64 x) x))
(fma.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 y x)) (fma.f64 (neg.f64 x) #s(literal 1 binary64) x))
(fma.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 y x)) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) x))
(fma.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 y x)) (+.f64 (neg.f64 x) x))
(fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) y)
(fma.f64 (cbrt.f64 (pow.f64 (neg.f64 x) #s(literal 2 binary64))) (cbrt.f64 (neg.f64 x)) y)
(fma.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x)) y)
(fma.f64 #s(literal -1 binary64) x y)
(fma.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 x)) (-.f64 (sqrt.f64 y) (sqrt.f64 x)) (fma.f64 (neg.f64 x) #s(literal 1 binary64) x))
(fma.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 x)) (-.f64 (sqrt.f64 y) (sqrt.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) x))
(fma.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 x)) (-.f64 (sqrt.f64 y) (sqrt.f64 x)) (+.f64 (neg.f64 x) x))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) y)
(+.f64 #s(literal 0 binary64) y)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 y)) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 y))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 y))) (log.f64 (sqrt.f64 (exp.f64 y))))
(-.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))
(pow.f64 y #s(literal 1 binary64))
(pow.f64 (cbrt.f64 y) #s(literal 3 binary64))
(pow.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 y) #s(literal 2 binary64))
(pow.f64 (E.f64) (log.f64 y))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 y)) #s(literal 2 binary64))) (cbrt.f64 (log.f64 y)))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 y))) (sqrt.f64 (log.f64 y)))
(sqrt.f64 (pow.f64 y #s(literal 2 binary64)))
(log.f64 (exp.f64 y))
(cbrt.f64 (pow.f64 y #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 y))
(log1p.f64 (expm1.f64 y))
(exp.f64 (log.f64 y))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 y)) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 y) #s(literal 3 binary64)) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 y)) #s(literal 2 binary64)))
Outputs
(*.f64 #s(literal -1 binary64) x)
(neg.f64 x)
(-.f64 y x)
(-.f64 y x)
(-.f64 y x)
y
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x y))))
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) y)))
(*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 x y)))
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x y))))
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) y)))
(*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 x y)))
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x y))))
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) y)))
(*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 x y)))
y
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (/.f64 x y) #s(literal 1 binary64))))
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) y)))
(*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 x y)))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (/.f64 x y) #s(literal 1 binary64))))
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) y)))
(*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 x y)))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (/.f64 x y) #s(literal 1 binary64))))
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) y)))
(*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 x y)))
y
(+.f64 y (*.f64 #s(literal -1 binary64) x))
(-.f64 y x)
(+.f64 y (*.f64 #s(literal -1 binary64) x))
(-.f64 y x)
(+.f64 y (*.f64 #s(literal -1 binary64) x))
(-.f64 y x)
(*.f64 #s(literal -1 binary64) x)
(neg.f64 x)
(*.f64 x (-.f64 (/.f64 y x) #s(literal 1 binary64)))
(*.f64 x (+.f64 (/.f64 y x) #s(literal -1 binary64)))
(*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 y x)))
(*.f64 x (-.f64 (/.f64 y x) #s(literal 1 binary64)))
(*.f64 x (+.f64 (/.f64 y x) #s(literal -1 binary64)))
(*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 y x)))
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(/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x (+.f64 x y) (pow.f64 y #s(literal 2 binary64))))
(fma.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 y x) (pow.f64 y #s(literal 2 binary64)))) (+.f64 (neg.f64 x) x))
(*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x y) (pow.f64 y #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x (+.f64 x y) (pow.f64 y #s(literal 2 binary64))))
(fma.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 y x)) (fma.f64 (neg.f64 x) #s(literal 1 binary64) x))
(*.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x y)))
(/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (+.f64 x y))
(fma.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 y x)) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) x))
(*.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x y)))
(/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (+.f64 x y))
(fma.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 y x)) (+.f64 (neg.f64 x) x))
(*.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x y)))
(/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (+.f64 x y))
(fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) y)
(-.f64 y x)
(fma.f64 (cbrt.f64 (pow.f64 (neg.f64 x) #s(literal 2 binary64))) (cbrt.f64 (neg.f64 x)) y)
(fma.f64 (cbrt.f64 (pow.f64 x #s(literal 2 binary64))) (cbrt.f64 (neg.f64 x)) y)
(fma.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x)) y)
(-.f64 y x)
(fma.f64 #s(literal -1 binary64) x y)
(-.f64 y x)
(fma.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 x)) (-.f64 (sqrt.f64 y) (sqrt.f64 x)) (fma.f64 (neg.f64 x) #s(literal 1 binary64) x))
(fma.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 x)) (-.f64 (sqrt.f64 y) (sqrt.f64 x)) (fma.f64 #s(literal -1 binary64) x x))
(fma.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 x)) (-.f64 (sqrt.f64 y) (sqrt.f64 x)) (*.f64 #s(literal 0 binary64) x))
(fma.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 x)) (-.f64 (sqrt.f64 y) (sqrt.f64 x)) #s(literal 0 binary64))
(fma.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 x)) (-.f64 (sqrt.f64 y) (sqrt.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) x))
(fma.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 x)) (-.f64 (sqrt.f64 y) (sqrt.f64 x)) (fma.f64 #s(literal -1 binary64) x x))
(fma.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 x)) (-.f64 (sqrt.f64 y) (sqrt.f64 x)) (*.f64 #s(literal 0 binary64) x))
(fma.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 x)) (-.f64 (sqrt.f64 y) (sqrt.f64 x)) #s(literal 0 binary64))
(fma.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 x)) (-.f64 (sqrt.f64 y) (sqrt.f64 x)) (+.f64 (neg.f64 x) x))
(fma.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 x)) (-.f64 (sqrt.f64 y) (sqrt.f64 x)) (fma.f64 #s(literal -1 binary64) x x))
(fma.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 x)) (-.f64 (sqrt.f64 y) (sqrt.f64 x)) (*.f64 #s(literal 0 binary64) x))
(fma.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 x)) (-.f64 (sqrt.f64 y) (sqrt.f64 x)) #s(literal 0 binary64))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) y)
(-.f64 y x)
(+.f64 #s(literal 0 binary64) y)
y
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 y)) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 y))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 y))) (log.f64 (sqrt.f64 (exp.f64 y))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 y))))
(-.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))
y
(pow.f64 y #s(literal 1 binary64))
y
(pow.f64 (cbrt.f64 y) #s(literal 3 binary64))
y
(pow.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/2 binary64))
y
(pow.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/3 binary64))
y
(pow.f64 (sqrt.f64 y) #s(literal 2 binary64))
y
(pow.f64 (E.f64) (log.f64 y))
y
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 y)) #s(literal 2 binary64))) (cbrt.f64 (log.f64 y)))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 y))) (sqrt.f64 (log.f64 y)))
(sqrt.f64 (pow.f64 y #s(literal 2 binary64)))
y
(log.f64 (exp.f64 y))
y
(cbrt.f64 (pow.f64 y #s(literal 3 binary64)))
y
(expm1.f64 (log1p.f64 y))
y
(log1p.f64 (expm1.f64 y))
y
(exp.f64 (log.f64 y))
y
(exp.f64 (*.f64 (log.f64 (cbrt.f64 y)) #s(literal 3 binary64)))
y
(exp.f64 (*.f64 (*.f64 (log.f64 y) #s(literal 3 binary64)) #s(literal 1/3 binary64)))
y
(exp.f64 (*.f64 (log.f64 (sqrt.f64 y)) #s(literal 2 binary64)))
y

eval96.0ms (1.4%)

Compiler

Compiled 2644 to 538 computations (79.7% saved)

prune35.0ms (0.5%)

Pruning

7 alts after pruning (1 fresh and 6 done)

PrunedKeptTotal
New2461247
Fresh000
Picked123
Done044
Total2477254
Accuracy
100.0%
Counts
254 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(-.f64 (+.f64 (*.f64 y x) y) x)
73.0%
(-.f64 y x)
62.2%
(+.f64 (*.f64 y x) y)
29.1%
(*.f64 y x)
66.2%
(*.f64 x (-.f64 y #s(literal 1 binary64)))
39.7%
(neg.f64 x)
35.5%
y
Compiler

Compiled 40 to 25 computations (37.5% saved)

simplify14.0ms (0.2%)

Algorithm
egg-herbie
Localize:

Found 1 expressions of interest:

NewMetricScoreProgram
cost-diff0
(-.f64 y x)
Rules
39×fma-define
32×fmm-def
12×sub-neg
10×distribute-rgt-in
associate--r+
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0821
11121
21621
32421
43321
55021
68821
712721
817521
921021
1023621
1123821
Stop Event
saturated
Calls
Call 1
Inputs
(-.f64 y x)
y
x
Outputs
(-.f64 y x)
y
x

localize16.0ms (0.2%)

Localize:

Found 1 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(-.f64 y x)
Results
9.0ms256×0valid
Compiler

Compiled 8 to 4 computations (50% saved)

Precisions
Click to see histograms. Total time spent on operations: 2.0ms
ival-sub: 2.0ms (102.2% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series1.0ms (0%)

Counts
1 → 21
Calls
Call 1
Inputs
#<alt (-.f64 y x)>
Outputs
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt y>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x y))))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x y))))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x y))))>
#<alt y>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (/.f64 x y) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (/.f64 x y) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (/.f64 x y) #s(literal 1 binary64))))>
#<alt y>
#<alt (+.f64 y (*.f64 #s(literal -1 binary64) x))>
#<alt (+.f64 y (*.f64 #s(literal -1 binary64) x))>
#<alt (+.f64 y (*.f64 #s(literal -1 binary64) x))>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 x (-.f64 (/.f64 y x) #s(literal 1 binary64)))>
#<alt (*.f64 x (-.f64 (/.f64 y x) #s(literal 1 binary64)))>
#<alt (*.f64 x (-.f64 (/.f64 y x) #s(literal 1 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 y x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 y x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 y x)))))>
Calls

6 calls:

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

rewrite74.0ms (1%)

Algorithm
batch-egg-rewrite
Rules
397×log1p-expm1-u
397×expm1-log1p-u
372×add-exp-log
359×prod-diff
358×add-log-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0813
17713
2104613
Stop Event
node limit
Counts
1 → 101
Calls
Call 1
Inputs
(-.f64 y x)
Outputs
(+.f64 y (neg.f64 x))
(+.f64 y (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(+.f64 (-.f64 y x) (fma.f64 (neg.f64 x) #s(literal 1 binary64) x))
(+.f64 (-.f64 y x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) x))
(+.f64 (-.f64 y x) (+.f64 (neg.f64 x) x))
(+.f64 (-.f64 y x) (fma.f64 #s(literal -1 binary64) x x))
(+.f64 (-.f64 y x) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) x))
(+.f64 (neg.f64 x) y)
(+.f64 #s(literal 0 binary64) (-.f64 y x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 y x))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (-.f64 y x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 y x)))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 y x)))))
(*.f64 (-.f64 y x) #s(literal 1 binary64))
(*.f64 (-.f64 y x) (log.f64 (E.f64)))
(*.f64 #s(literal 1 binary64) (-.f64 y x))
(*.f64 (cbrt.f64 (-.f64 y x)) (pow.f64 (cbrt.f64 (-.f64 y x)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 y x)) #s(literal 2 binary64)) (cbrt.f64 (-.f64 y x)))
(*.f64 (sqrt.f64 (-.f64 y x)) (sqrt.f64 (-.f64 y x)))
(*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 y x) (pow.f64 y #s(literal 2 binary64)))))
(*.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 y x)))
(*.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 x)) (-.f64 (sqrt.f64 y) (sqrt.f64 x)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (-.f64 y x))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (-.f64 y x))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (-.f64 y x))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (-.f64 y x) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (-.f64 y x) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (pow.f64 (*.f64 (-.f64 y x) (cbrt.f64 (-.f64 y x))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (-.f64 y x))))
(*.f64 (pow.f64 (pow.f64 (-.f64 y x) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (-.f64 y x))))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (-.f64 y x) #s(literal 3 binary64)))) (cbrt.f64 (sqrt.f64 (pow.f64 (-.f64 y x) #s(literal 3 binary64)))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (-.f64 y x) (cbrt.f64 (-.f64 y x))) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (-.f64 y x))))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 y x) #s(literal 5/2 binary64))) (cbrt.f64 (sqrt.f64 (-.f64 y x))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (+.f64 y x) (pow.f64 y #s(literal 2 binary64))) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y x) (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x (+.f64 y x) (pow.f64 y #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (+.f64 y x))
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (+.f64 y x) (pow.f64 y #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (neg.f64 (+.f64 y x)))
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (fma.f64 y y (-.f64 (pow.f64 (neg.f64 x) #s(literal 2 binary64)) (*.f64 y (neg.f64 x)))))
(/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (neg.f64 x) #s(literal 2 binary64))) (-.f64 y (neg.f64 x)))
(/.f64 (cbrt.f64 (*.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (cbrt.f64 (fma.f64 x (+.f64 y x) (pow.f64 y #s(literal 2 binary64)))))
(/.f64 (cbrt.f64 (*.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))) (cbrt.f64 (+.f64 y x)))
(pow.f64 (-.f64 y x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (-.f64 y x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (-.f64 y x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (-.f64 y x)) #s(literal 2 binary64))
(pow.f64 (E.f64) (log.f64 (-.f64 y x)))
(pow.f64 (/.f64 (fma.f64 x (+.f64 y x) (pow.f64 y #s(literal 2 binary64))) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 y x) (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) #s(literal -1 binary64))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (-.f64 y x))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (-.f64 y x))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (-.f64 y x)))) (sqrt.f64 (log.f64 (-.f64 y x))))
(sqrt.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (-.f64 y x)))
(cbrt.f64 (pow.f64 (-.f64 y x) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 (fma.f64 x (+.f64 y x) (pow.f64 y #s(literal 2 binary64))) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (+.f64 y x) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (-.f64 y x)))
(log1p.f64 (expm1.f64 (-.f64 y x)))
(exp.f64 (log.f64 (-.f64 y x)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (-.f64 y x))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (-.f64 y x))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 y x))) #s(literal 2 binary64)))
(fma.f64 y #s(literal 1 binary64) (neg.f64 x))
(fma.f64 y #s(literal 1 binary64) (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(fma.f64 (-.f64 y x) #s(literal 1 binary64) (fma.f64 (neg.f64 x) #s(literal 1 binary64) x))
(fma.f64 (-.f64 y x) #s(literal 1 binary64) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) x))
(fma.f64 (-.f64 y x) #s(literal 1 binary64) (+.f64 (neg.f64 x) x))
(fma.f64 #s(literal 1 binary64) y (neg.f64 x))
(fma.f64 #s(literal 1 binary64) y (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (-.f64 y x) (fma.f64 (neg.f64 x) #s(literal 1 binary64) x))
(fma.f64 #s(literal 1 binary64) (-.f64 y x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) x))
(fma.f64 #s(literal 1 binary64) (-.f64 y x) (+.f64 (neg.f64 x) x))
(fma.f64 #s(literal 1 binary64) (neg.f64 x) y)
(fma.f64 (cbrt.f64 (-.f64 y x)) (pow.f64 (cbrt.f64 (-.f64 y x)) #s(literal 2 binary64)) (fma.f64 (neg.f64 x) #s(literal 1 binary64) x))
(fma.f64 (cbrt.f64 (-.f64 y x)) (pow.f64 (cbrt.f64 (-.f64 y x)) #s(literal 2 binary64)) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) x))
(fma.f64 (cbrt.f64 (-.f64 y x)) (pow.f64 (cbrt.f64 (-.f64 y x)) #s(literal 2 binary64)) (+.f64 (neg.f64 x) x))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 y x)) #s(literal 2 binary64)) (cbrt.f64 (-.f64 y x)) (fma.f64 (neg.f64 x) #s(literal 1 binary64) x))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 y x)) #s(literal 2 binary64)) (cbrt.f64 (-.f64 y x)) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) x))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 y x)) #s(literal 2 binary64)) (cbrt.f64 (-.f64 y x)) (+.f64 (neg.f64 x) x))
(fma.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (neg.f64 x))
(fma.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 y) (neg.f64 x))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 y) (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 x)) y)
(fma.f64 (sqrt.f64 (-.f64 y x)) (sqrt.f64 (-.f64 y x)) (fma.f64 (neg.f64 x) #s(literal 1 binary64) x))
(fma.f64 (sqrt.f64 (-.f64 y x)) (sqrt.f64 (-.f64 y x)) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) x))
(fma.f64 (sqrt.f64 (-.f64 y x)) (sqrt.f64 (-.f64 y x)) (+.f64 (neg.f64 x) x))
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) (neg.f64 x))
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x)) y)
(fma.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 y x) (pow.f64 y #s(literal 2 binary64)))) (fma.f64 (neg.f64 x) #s(literal 1 binary64) x))
(fma.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 y x) (pow.f64 y #s(literal 2 binary64)))) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) x))
(fma.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 y x) (pow.f64 y #s(literal 2 binary64)))) (+.f64 (neg.f64 x) x))
(fma.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 y x)) (fma.f64 (neg.f64 x) #s(literal 1 binary64) x))
(fma.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 y x)) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) x))
(fma.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 y x)) (+.f64 (neg.f64 x) x))
(fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) y)
(fma.f64 (pow.f64 (cbrt.f64 (neg.f64 x)) #s(literal 2 binary64)) (cbrt.f64 (neg.f64 x)) y)
(fma.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x)) y)
(fma.f64 #s(literal -1 binary64) x y)
(fma.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 x)) (-.f64 (sqrt.f64 y) (sqrt.f64 x)) (fma.f64 (neg.f64 x) #s(literal 1 binary64) x))
(fma.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 x)) (-.f64 (sqrt.f64 y) (sqrt.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) x))
(fma.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 x)) (-.f64 (sqrt.f64 y) (sqrt.f64 x)) (+.f64 (neg.f64 x) x))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) y)

simplify177.0ms (2.5%)

Algorithm
egg-herbie
Rules
860×fmm-def
555×fma-define
470×div-sub
373×distribute-lft-in
358×distribute-rgt-in
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02353444
14953273
213923234
357253222
Stop Event
node limit
Counts
122 → 131
Calls
Call 1
Inputs
(*.f64 #s(literal -1 binary64) x)
y
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x y))))
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x y))))
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x y))))
y
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (/.f64 x y) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (/.f64 x y) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (/.f64 x y) #s(literal 1 binary64))))
y
(+.f64 y (*.f64 #s(literal -1 binary64) x))
(+.f64 y (*.f64 #s(literal -1 binary64) x))
(+.f64 y (*.f64 #s(literal -1 binary64) x))
(*.f64 #s(literal -1 binary64) x)
(*.f64 x (-.f64 (/.f64 y x) #s(literal 1 binary64)))
(*.f64 x (-.f64 (/.f64 y x) #s(literal 1 binary64)))
(*.f64 x (-.f64 (/.f64 y x) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 y x)))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 y x)))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 y x)))))
(+.f64 y (neg.f64 x))
(+.f64 y (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(+.f64 (-.f64 y x) (fma.f64 (neg.f64 x) #s(literal 1 binary64) x))
(+.f64 (-.f64 y x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) x))
(+.f64 (-.f64 y x) (+.f64 (neg.f64 x) x))
(+.f64 (-.f64 y x) (fma.f64 #s(literal -1 binary64) x x))
(+.f64 (-.f64 y x) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) x))
(+.f64 (neg.f64 x) y)
(+.f64 #s(literal 0 binary64) (-.f64 y x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 y x))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (-.f64 y x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 y x)))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 y x)))))
(*.f64 (-.f64 y x) #s(literal 1 binary64))
(*.f64 (-.f64 y x) (log.f64 (E.f64)))
(*.f64 #s(literal 1 binary64) (-.f64 y x))
(*.f64 (cbrt.f64 (-.f64 y x)) (pow.f64 (cbrt.f64 (-.f64 y x)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 y x)) #s(literal 2 binary64)) (cbrt.f64 (-.f64 y x)))
(*.f64 (sqrt.f64 (-.f64 y x)) (sqrt.f64 (-.f64 y x)))
(*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 y x) (pow.f64 y #s(literal 2 binary64)))))
(*.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 y x)))
(*.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 x)) (-.f64 (sqrt.f64 y) (sqrt.f64 x)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (-.f64 y x))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (-.f64 y x))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (-.f64 y x))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (-.f64 y x) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (-.f64 y x) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (pow.f64 (*.f64 (-.f64 y x) (cbrt.f64 (-.f64 y x))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (-.f64 y x))))
(*.f64 (pow.f64 (pow.f64 (-.f64 y x) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (-.f64 y x))))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (-.f64 y x) #s(literal 3 binary64)))) (cbrt.f64 (sqrt.f64 (pow.f64 (-.f64 y x) #s(literal 3 binary64)))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (-.f64 y x) (cbrt.f64 (-.f64 y x))) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (-.f64 y x))))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 y x) #s(literal 5/2 binary64))) (cbrt.f64 (sqrt.f64 (-.f64 y x))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (+.f64 y x) (pow.f64 y #s(literal 2 binary64))) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y x) (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x (+.f64 y x) (pow.f64 y #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (+.f64 y x))
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (+.f64 y x) (pow.f64 y #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (neg.f64 (+.f64 y x)))
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (fma.f64 y y (-.f64 (pow.f64 (neg.f64 x) #s(literal 2 binary64)) (*.f64 y (neg.f64 x)))))
(/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (neg.f64 x) #s(literal 2 binary64))) (-.f64 y (neg.f64 x)))
(/.f64 (cbrt.f64 (*.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (cbrt.f64 (fma.f64 x (+.f64 y x) (pow.f64 y #s(literal 2 binary64)))))
(/.f64 (cbrt.f64 (*.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))) (cbrt.f64 (+.f64 y x)))
(pow.f64 (-.f64 y x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (-.f64 y x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (-.f64 y x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (-.f64 y x)) #s(literal 2 binary64))
(pow.f64 (E.f64) (log.f64 (-.f64 y x)))
(pow.f64 (/.f64 (fma.f64 x (+.f64 y x) (pow.f64 y #s(literal 2 binary64))) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 y x) (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) #s(literal -1 binary64))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (-.f64 y x))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (-.f64 y x))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (-.f64 y x)))) (sqrt.f64 (log.f64 (-.f64 y x))))
(sqrt.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (-.f64 y x)))
(cbrt.f64 (pow.f64 (-.f64 y x) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 (fma.f64 x (+.f64 y x) (pow.f64 y #s(literal 2 binary64))) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (+.f64 y x) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (-.f64 y x)))
(log1p.f64 (expm1.f64 (-.f64 y x)))
(exp.f64 (log.f64 (-.f64 y x)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (-.f64 y x))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (-.f64 y x))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 y x))) #s(literal 2 binary64)))
(fma.f64 y #s(literal 1 binary64) (neg.f64 x))
(fma.f64 y #s(literal 1 binary64) (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(fma.f64 (-.f64 y x) #s(literal 1 binary64) (fma.f64 (neg.f64 x) #s(literal 1 binary64) x))
(fma.f64 (-.f64 y x) #s(literal 1 binary64) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) x))
(fma.f64 (-.f64 y x) #s(literal 1 binary64) (+.f64 (neg.f64 x) x))
(fma.f64 #s(literal 1 binary64) y (neg.f64 x))
(fma.f64 #s(literal 1 binary64) y (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (-.f64 y x) (fma.f64 (neg.f64 x) #s(literal 1 binary64) x))
(fma.f64 #s(literal 1 binary64) (-.f64 y x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) x))
(fma.f64 #s(literal 1 binary64) (-.f64 y x) (+.f64 (neg.f64 x) x))
(fma.f64 #s(literal 1 binary64) (neg.f64 x) y)
(fma.f64 (cbrt.f64 (-.f64 y x)) (pow.f64 (cbrt.f64 (-.f64 y x)) #s(literal 2 binary64)) (fma.f64 (neg.f64 x) #s(literal 1 binary64) x))
(fma.f64 (cbrt.f64 (-.f64 y x)) (pow.f64 (cbrt.f64 (-.f64 y x)) #s(literal 2 binary64)) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) x))
(fma.f64 (cbrt.f64 (-.f64 y x)) (pow.f64 (cbrt.f64 (-.f64 y x)) #s(literal 2 binary64)) (+.f64 (neg.f64 x) x))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 y x)) #s(literal 2 binary64)) (cbrt.f64 (-.f64 y x)) (fma.f64 (neg.f64 x) #s(literal 1 binary64) x))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 y x)) #s(literal 2 binary64)) (cbrt.f64 (-.f64 y x)) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) x))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 y x)) #s(literal 2 binary64)) (cbrt.f64 (-.f64 y x)) (+.f64 (neg.f64 x) x))
(fma.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (neg.f64 x))
(fma.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 y) (neg.f64 x))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 y) (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 x)) y)
(fma.f64 (sqrt.f64 (-.f64 y x)) (sqrt.f64 (-.f64 y x)) (fma.f64 (neg.f64 x) #s(literal 1 binary64) x))
(fma.f64 (sqrt.f64 (-.f64 y x)) (sqrt.f64 (-.f64 y x)) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) x))
(fma.f64 (sqrt.f64 (-.f64 y x)) (sqrt.f64 (-.f64 y x)) (+.f64 (neg.f64 x) x))
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) (neg.f64 x))
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x)) y)
(fma.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 y x) (pow.f64 y #s(literal 2 binary64)))) (fma.f64 (neg.f64 x) #s(literal 1 binary64) x))
(fma.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 y x) (pow.f64 y #s(literal 2 binary64)))) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) x))
(fma.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 y x) (pow.f64 y #s(literal 2 binary64)))) (+.f64 (neg.f64 x) x))
(fma.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 y x)) (fma.f64 (neg.f64 x) #s(literal 1 binary64) x))
(fma.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 y x)) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) x))
(fma.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 y x)) (+.f64 (neg.f64 x) x))
(fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) y)
(fma.f64 (pow.f64 (cbrt.f64 (neg.f64 x)) #s(literal 2 binary64)) (cbrt.f64 (neg.f64 x)) y)
(fma.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x)) y)
(fma.f64 #s(literal -1 binary64) x y)
(fma.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 x)) (-.f64 (sqrt.f64 y) (sqrt.f64 x)) (fma.f64 (neg.f64 x) #s(literal 1 binary64) x))
(fma.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 x)) (-.f64 (sqrt.f64 y) (sqrt.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) x))
(fma.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 x)) (-.f64 (sqrt.f64 y) (sqrt.f64 x)) (+.f64 (neg.f64 x) x))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) y)
Outputs
(*.f64 #s(literal -1 binary64) x)
(neg.f64 x)
y
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x y))))
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) y)))
(*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 x y)))
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x y))))
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) y)))
(*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 x y)))
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x y))))
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) y)))
(*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 x y)))
y
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (/.f64 x y) #s(literal 1 binary64))))
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) y)))
(*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 x y)))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (/.f64 x y) #s(literal 1 binary64))))
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) y)))
(*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 x y)))
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(fma.f64 (sqrt.f64 (-.f64 y x)) (sqrt.f64 (-.f64 y x)) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) x))
(-.f64 y x)
(fma.f64 (sqrt.f64 (-.f64 y x)) (sqrt.f64 (-.f64 y x)) (+.f64 (neg.f64 x) x))
(-.f64 y x)
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) (neg.f64 x))
(-.f64 y x)
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(-.f64 y x)
(fma.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x)) y)
(-.f64 y x)
(fma.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 y x) (pow.f64 y #s(literal 2 binary64)))) (fma.f64 (neg.f64 x) #s(literal 1 binary64) x))
(*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x y) (pow.f64 y #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x (+.f64 x y) (pow.f64 y #s(literal 2 binary64))))
(fma.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 y x) (pow.f64 y #s(literal 2 binary64)))) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) x))
(*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x y) (pow.f64 y #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x (+.f64 x y) (pow.f64 y #s(literal 2 binary64))))
(fma.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 y x) (pow.f64 y #s(literal 2 binary64)))) (+.f64 (neg.f64 x) x))
(*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x y) (pow.f64 y #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x (+.f64 x y) (pow.f64 y #s(literal 2 binary64))))
(fma.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 y x)) (fma.f64 (neg.f64 x) #s(literal 1 binary64) x))
(*.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x y)))
(/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (+.f64 x y))
(fma.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 y x)) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) x))
(*.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x y)))
(/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (+.f64 x y))
(fma.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 y x)) (+.f64 (neg.f64 x) x))
(*.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x y)))
(/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (+.f64 x y))
(fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) y)
(-.f64 y x)
(fma.f64 (pow.f64 (cbrt.f64 (neg.f64 x)) #s(literal 2 binary64)) (cbrt.f64 (neg.f64 x)) y)
(-.f64 y x)
(fma.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x)) y)
(-.f64 y x)
(fma.f64 #s(literal -1 binary64) x y)
(-.f64 y x)
(fma.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 x)) (-.f64 (sqrt.f64 y) (sqrt.f64 x)) (fma.f64 (neg.f64 x) #s(literal 1 binary64) x))
(fma.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 x)) (-.f64 (sqrt.f64 y) (sqrt.f64 x)) (fma.f64 #s(literal -1 binary64) x x))
(fma.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 x)) (-.f64 (sqrt.f64 y) (sqrt.f64 x)) (*.f64 #s(literal 0 binary64) x))
(fma.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 x)) (-.f64 (sqrt.f64 y) (sqrt.f64 x)) #s(literal 0 binary64))
(fma.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 x)) (-.f64 (sqrt.f64 y) (sqrt.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) x))
(fma.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 x)) (-.f64 (sqrt.f64 y) (sqrt.f64 x)) (fma.f64 #s(literal -1 binary64) x x))
(fma.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 x)) (-.f64 (sqrt.f64 y) (sqrt.f64 x)) (*.f64 #s(literal 0 binary64) x))
(fma.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 x)) (-.f64 (sqrt.f64 y) (sqrt.f64 x)) #s(literal 0 binary64))
(fma.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 x)) (-.f64 (sqrt.f64 y) (sqrt.f64 x)) (+.f64 (neg.f64 x) x))
(fma.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 x)) (-.f64 (sqrt.f64 y) (sqrt.f64 x)) (fma.f64 #s(literal -1 binary64) x x))
(fma.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 x)) (-.f64 (sqrt.f64 y) (sqrt.f64 x)) (*.f64 #s(literal 0 binary64) x))
(fma.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 x)) (-.f64 (sqrt.f64 y) (sqrt.f64 x)) #s(literal 0 binary64))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) y)
(-.f64 y x)

eval17.0ms (0.2%)

Compiler

Compiled 1531 to 280 computations (81.7% saved)

prune20.0ms (0.3%)

Pruning

7 alts after pruning (0 fresh and 7 done)

PrunedKeptTotal
New1310131
Fresh000
Picked011
Done066
Total1317138
Accuracy
100.0%
Counts
138 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(-.f64 (+.f64 (*.f64 y x) y) x)
73.0%
(-.f64 y x)
62.2%
(+.f64 (*.f64 y x) y)
29.1%
(*.f64 y x)
66.2%
(*.f64 x (-.f64 y #s(literal 1 binary64)))
39.7%
(neg.f64 x)
35.5%
y
Compiler

Compiled 91 to 45 computations (50.5% saved)

regimes16.0ms (0.2%)

Counts
11 → 1
Calls
Call 1
Inputs
y
(neg.f64 x)
(*.f64 y x)
(-.f64 y x)
(*.f64 x (-.f64 y #s(literal 1 binary64)))
(*.f64 y (+.f64 #s(literal 1 binary64) x))
(+.f64 (*.f64 y x) y)
(-.f64 (*.f64 #s(literal 1 binary64) y) x)
(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x)
(-.f64 (+.f64 (*.f64 y x) y) x)
(fma.f64 x (+.f64 y #s(literal -1 binary64)) y)
Outputs
(fma.f64 x (+.f64 y #s(literal -1 binary64)) y)
Calls

3 calls:

7.0ms
(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x)
4.0ms
y
4.0ms
x
Results
AccuracySegmentsBranch
100.0%1x
100.0%1y
100.0%1(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x)
Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes56.0ms (0.8%)

Counts
10 → 1
Calls
Call 1
Inputs
y
(neg.f64 x)
(*.f64 y x)
(-.f64 y x)
(*.f64 x (-.f64 y #s(literal 1 binary64)))
(*.f64 y (+.f64 #s(literal 1 binary64) x))
(+.f64 (*.f64 y x) y)
(-.f64 (*.f64 #s(literal 1 binary64) y) x)
(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x)
(-.f64 (+.f64 (*.f64 y x) y) x)
Outputs
(-.f64 (+.f64 (*.f64 y x) y) x)
Calls

3 calls:

48.0ms
y
4.0ms
x
4.0ms
(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x)
Results
AccuracySegmentsBranch
100.0%1x
100.0%1y
100.0%1(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x)
Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes12.0ms (0.2%)

Counts
9 → 1
Calls
Call 1
Inputs
y
(neg.f64 x)
(*.f64 y x)
(-.f64 y x)
(*.f64 x (-.f64 y #s(literal 1 binary64)))
(*.f64 y (+.f64 #s(literal 1 binary64) x))
(+.f64 (*.f64 y x) y)
(-.f64 (*.f64 #s(literal 1 binary64) y) x)
(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x)
Outputs
(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x)
Calls

3 calls:

4.0ms
x
3.0ms
(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x)
3.0ms
y
Results
AccuracySegmentsBranch
100.0%1x
100.0%1y
100.0%1(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x)
Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes7.0ms (0.1%)

Counts
8 → 3
Calls
Call 1
Inputs
y
(neg.f64 x)
(*.f64 y x)
(-.f64 y x)
(*.f64 x (-.f64 y #s(literal 1 binary64)))
(*.f64 y (+.f64 #s(literal 1 binary64) x))
(+.f64 (*.f64 y x) y)
(-.f64 (*.f64 #s(literal 1 binary64) y) x)
Outputs
(*.f64 y (+.f64 #s(literal 1 binary64) x))
(-.f64 y x)
(+.f64 (*.f64 y x) y)
Calls

2 calls:

3.0ms
y
3.0ms
x
Results
AccuracySegmentsBranch
98.9%3x
99.4%3y
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0%)

Counts
6 → 3
Calls
Call 1
Inputs
y
(neg.f64 x)
(*.f64 y x)
(-.f64 y x)
(*.f64 x (-.f64 y #s(literal 1 binary64)))
(*.f64 y (+.f64 #s(literal 1 binary64) x))
Outputs
(*.f64 y (+.f64 #s(literal 1 binary64) x))
(-.f64 y x)
(*.f64 y (+.f64 #s(literal 1 binary64) x))
Calls

1 calls:

3.0ms
y
Results
AccuracySegmentsBranch
99.4%3y
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes6.0ms (0.1%)

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

2 calls:

3.0ms
y
2.0ms
x
Results
AccuracySegmentsBranch
98.9%3x
81.1%3y
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes5.0ms (0.1%)

Counts
4 → 3
Calls
Call 1
Inputs
y
(neg.f64 x)
(*.f64 y x)
(-.f64 y x)
Outputs
(*.f64 y x)
(-.f64 y x)
(*.f64 y x)
Calls

2 calls:

2.0ms
x
2.0ms
y
Results
AccuracySegmentsBranch
81.1%3y
81.1%4x
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes4.0ms (0.1%)

Counts
3 → 5
Calls
Call 1
Inputs
y
(neg.f64 x)
(*.f64 y x)
Outputs
(*.f64 y x)
y
(neg.f64 x)
y
(*.f64 y x)
Calls

2 calls:

2.0ms
x
2.0ms
y
Results
AccuracySegmentsBranch
72.9%6x
73.6%5y
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes5.0ms (0.1%)

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

2 calls:

3.0ms
x
2.0ms
y
Results
AccuracySegmentsBranch
64.8%3x
65.4%3y
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
y
Outputs
y
Calls

2 calls:

1.0ms
y
1.0ms
x
Results
AccuracySegmentsBranch
35.5%1x
35.5%1y
Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch33.0ms (0.5%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
10.0ms
1.42329602282256e-10
5.121210251840628e-8
11.0ms
-16147.657926136133
-0.1563330601355798
Results
12.0ms272×0valid
Compiler

Compiled 252 to 172 computations (31.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-add: 2.0ms (36.3% of total)
ival-mult: 2.0ms (36.3% of total)
ival-sub: 1.0ms (18.2% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch24.0ms (0.3%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
11.0ms
1.42329602282256e-10
5.121210251840628e-8
11.0ms
-16147.657926136133
-0.1563330601355798
Results
13.0ms272×0valid
Compiler

Compiled 252 to 180 computations (28.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-add: 2.0ms (35.3% of total)
ival-mult: 2.0ms (35.3% of total)
ival-sub: 1.0ms (17.6% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch21.0ms (0.3%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
9.0ms
0.0015397623589505376
0.012921600625867872
10.0ms
-45563.33656905027
-4.471996741771845
Results
12.0ms224×0valid
Compiler

Compiled 210 to 150 computations (28.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-sub: 3.0ms (45.8% of total)
ival-mult: 2.0ms (30.5% of total)
ival-add: 1.0ms (15.3% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch91.0ms (1.3%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
10.0ms
1.9358089123572913e+90
8.901719781089775e+94
7.0ms
-1.771972790767579e+137
-3.8840564992007045e+136
Results
10.0ms224×0valid
Compiler

Compiled 182 to 122 computations (33% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-mult: 2.0ms (43.3% of total)
ival-sub: 1.0ms (21.7% of total)
ival-add: 1.0ms (21.7% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch43.0ms (0.6%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
10.0ms
1.9358089123572913e+90
8.901719781089775e+94
11.0ms
5.2087739522396665e-49
4.238742969167124e-46
10.0ms
-8.785626049845323e-42
-6.937383321631281e-45
7.0ms
-1.771972790767579e+137
-3.8840564992007045e+136
Results
24.0ms480×0valid
Compiler

Compiled 298 to 220 computations (26.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-mult: 4.0ms (39.5% of total)
ival-add: 3.0ms (29.6% of total)
ival-sub: 2.0ms (19.7% of total)
const: 1.0ms (9.9% of total)
backward-pass: 0.0ms (0% of total)

bsearch21.0ms (0.3%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
10.0ms
5.2087739522396665e-49
4.238742969167124e-46
10.0ms
-8.785626049845323e-42
-6.937383321631281e-45
Results
12.0ms256×0valid
Compiler

Compiled 158 to 122 computations (22.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-add: 2.0ms (38.9% of total)
ival-mult: 2.0ms (38.9% of total)
ival-sub: 1.0ms (19.5% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

simplify8.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
063478
196478
2104478
3109478
Stop Event
saturated
Calls
Call 1
Inputs
(fma.f64 x (+.f64 y #s(literal -1 binary64)) y)
(-.f64 (+.f64 (*.f64 y x) y) x)
(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x)
(if (<=.f64 y #s(literal -1 binary64)) (*.f64 y (+.f64 #s(literal 1 binary64) x)) (if (<=.f64 y #s(literal 7706902100043261/151115727451828646838272 binary64)) (-.f64 y x) (+.f64 (*.f64 y x) y)))
(if (<=.f64 y #s(literal -1 binary64)) (*.f64 y (+.f64 #s(literal 1 binary64) x)) (if (<=.f64 y #s(literal 7706902100043261/151115727451828646838272 binary64)) (-.f64 y x) (*.f64 y (+.f64 #s(literal 1 binary64) x))))
(if (<=.f64 x #s(literal -9/2 binary64)) (*.f64 x (-.f64 y #s(literal 1 binary64))) (if (<=.f64 x #s(literal 226981421219473/18014398509481984 binary64)) (-.f64 y x) (*.f64 x (-.f64 y #s(literal 1 binary64)))))
(if (<=.f64 y #s(literal -83999999999999996148131561190727801115755975246496984138987498162922555733010238881638198149615644413559654004730236112694352963040182272 binary64)) (*.f64 y x) (if (<=.f64 y #s(literal 3800000000000000121411695039559333794663995256559403939832496149862032374184194218609606656 binary64)) (-.f64 y x) (*.f64 y x)))
(if (<=.f64 y #s(literal -39000000000000001900560907819850178597914091368747705964109613903104776348410977395971480593523255805788915473821654532184052408193646592 binary64)) (*.f64 y x) (if (<=.f64 y #s(literal -1608507319692837/196159429230833773869868419475239575503198607639501078528 binary64)) y (if (<=.f64 y #s(literal 1156995391866473/3213876088517980551083924184682325205044405987565585670602752 binary64)) (neg.f64 x) (if (<=.f64 y #s(literal 1999999999999999932968225430927800099650372185240251005959349194618359510874758461373022208 binary64)) y (*.f64 y x)))))
(if (<=.f64 y #s(literal -3373942182770341/392318858461667547739736838950479151006397215279002157056 binary64)) y (if (<=.f64 y #s(literal 1156995391866473/3213876088517980551083924184682325205044405987565585670602752 binary64)) (neg.f64 x) y))
y
Outputs
(fma.f64 x (+.f64 y #s(literal -1 binary64)) y)
(-.f64 (+.f64 (*.f64 y x) y) x)
(-.f64 (+.f64 y (*.f64 x y)) x)
(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x)
(-.f64 (*.f64 y (+.f64 x #s(literal 1 binary64))) x)
(if (<=.f64 y #s(literal -1 binary64)) (*.f64 y (+.f64 #s(literal 1 binary64) x)) (if (<=.f64 y #s(literal 7706902100043261/151115727451828646838272 binary64)) (-.f64 y x) (+.f64 (*.f64 y x) y)))
(if (<=.f64 y #s(literal -1 binary64)) (*.f64 y (+.f64 x #s(literal 1 binary64))) (if (<=.f64 y #s(literal 7706902100043261/151115727451828646838272 binary64)) (-.f64 y x) (+.f64 y (*.f64 x y))))
(if (<=.f64 y #s(literal -1 binary64)) (*.f64 y (+.f64 #s(literal 1 binary64) x)) (if (<=.f64 y #s(literal 7706902100043261/151115727451828646838272 binary64)) (-.f64 y x) (*.f64 y (+.f64 #s(literal 1 binary64) x))))
(if (or (<=.f64 y #s(literal -1 binary64)) (not (<=.f64 y #s(literal 7706902100043261/151115727451828646838272 binary64)))) (*.f64 y (+.f64 x #s(literal 1 binary64))) (-.f64 y x))
(if (<=.f64 x #s(literal -9/2 binary64)) (*.f64 x (-.f64 y #s(literal 1 binary64))) (if (<=.f64 x #s(literal 226981421219473/18014398509481984 binary64)) (-.f64 y x) (*.f64 x (-.f64 y #s(literal 1 binary64)))))
(if (or (<=.f64 x #s(literal -9/2 binary64)) (not (<=.f64 x #s(literal 226981421219473/18014398509481984 binary64)))) (*.f64 x (-.f64 y #s(literal 1 binary64))) (-.f64 y x))
(if (or (<=.f64 x #s(literal -9/2 binary64)) (not (<=.f64 x #s(literal 226981421219473/18014398509481984 binary64)))) (*.f64 x (+.f64 y #s(literal -1 binary64))) (-.f64 y x))
(if (<=.f64 y #s(literal -83999999999999996148131561190727801115755975246496984138987498162922555733010238881638198149615644413559654004730236112694352963040182272 binary64)) (*.f64 y x) (if (<=.f64 y #s(literal 3800000000000000121411695039559333794663995256559403939832496149862032374184194218609606656 binary64)) (-.f64 y x) (*.f64 y x)))
(if (or (<=.f64 y #s(literal -83999999999999996148131561190727801115755975246496984138987498162922555733010238881638198149615644413559654004730236112694352963040182272 binary64)) (not (<=.f64 y #s(literal 3800000000000000121411695039559333794663995256559403939832496149862032374184194218609606656 binary64)))) (*.f64 x y) (-.f64 y x))
(if (<=.f64 y #s(literal -39000000000000001900560907819850178597914091368747705964109613903104776348410977395971480593523255805788915473821654532184052408193646592 binary64)) (*.f64 y x) (if (<=.f64 y #s(literal -1608507319692837/196159429230833773869868419475239575503198607639501078528 binary64)) y (if (<=.f64 y #s(literal 1156995391866473/3213876088517980551083924184682325205044405987565585670602752 binary64)) (neg.f64 x) (if (<=.f64 y #s(literal 1999999999999999932968225430927800099650372185240251005959349194618359510874758461373022208 binary64)) y (*.f64 y x)))))
(if (<=.f64 y #s(literal -39000000000000001900560907819850178597914091368747705964109613903104776348410977395971480593523255805788915473821654532184052408193646592 binary64)) (*.f64 x y) (if (<=.f64 y #s(literal -1608507319692837/196159429230833773869868419475239575503198607639501078528 binary64)) y (if (<=.f64 y #s(literal 1156995391866473/3213876088517980551083924184682325205044405987565585670602752 binary64)) (neg.f64 x) (if (<=.f64 y #s(literal 1999999999999999932968225430927800099650372185240251005959349194618359510874758461373022208 binary64)) y (*.f64 x y)))))
(if (<=.f64 y #s(literal -3373942182770341/392318858461667547739736838950479151006397215279002157056 binary64)) y (if (<=.f64 y #s(literal 1156995391866473/3213876088517980551083924184682325205044405987565585670602752 binary64)) (neg.f64 x) y))
y

soundness744.0ms (10.5%)

Rules
1165×log1p-expm1-u
1165×expm1-log1p-u
978×log1p-expm1-u
978×expm1-log1p-u
861×prod-diff
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
017123
1260116
23649116
024228
156204
2152185
3693182
41591176
52449176
62741176
72791176
05349221
112948987
237548789
01591
118791
2259489
Stop Event
done
node limit
node limit
saturated
node limit
Compiler

Compiled 290 to 113 computations (61% saved)

preprocess50.0ms (0.7%)

Compiler

Compiled 280 to 118 computations (57.9% saved)

end0.0ms (0%)

Profiling

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