Data.Colour.SRGB:transferFunction from colour-2.3.3

Time bar (total: 3.3s)

analyze0.0ms (0%)

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

Compiled 10 to 7 computations (30% saved)

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

sample971.0ms (29.7%)

Results
751.0ms7168×256valid
101.0ms1084×256infinite
1.0ms3×1024valid
0.0ms1×256valid
Precisions
Click to see histograms. Total time spent on operations: 259.0ms
Operation ival-add, time spent: 117.0ms, 45.0% of total-time
Operation ival-mult, time spent: 80.0ms, 31.0% of total-time
Operation ival-sub, time spent: 48.0ms, 19.0% of total-time
Operation const, time spent: 14.0ms, 5.0% of total-time
Bogosity

preprocess342.0ms (10.5%)

Algorithm
1×egg-herbie
Rules
1272×fma-neg
1262×fma-define
248×distribute-rgt-in
232×unsub-neg
146×distribute-lft-in
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))
Iterations

Useful iterations: 4 (0.0ms)

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

Compiled 51 to 32 computations (37.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 22.0ms
Operation ival-add, time spent: 10.0ms, 45.0% of total-time
Operation ival-mult, time spent: 8.0ms, 36.0% of total-time
Operation ival-sub, time spent: 3.0ms, 13.0% of total-time
Operation const, time spent: 2.0ms, 9.0% of total-time

eval1.0ms (0%)

Compiler

Compiled 21 to 11 computations (47.6% saved)

prune2.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
(fma.f64 (+.f64 x #s(literal 1 binary64)) y (neg.f64 x))
▶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 26 to 17 computations (34.6% saved)

localize81.0ms (2.5%)

Localize:

Found 2 expressions with local error:

NewAccuracyProgram
✓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 48 to 26 computations (45.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 34.0ms
Operation ival-add, time spent: 12.0ms, 35.0% of total-time
Operation ival-mult, time spent: 10.0ms, 29.0% of total-time
Operation composed, time spent: 8.0ms, 23.0% of total-time
Operation const, time spent: 2.0ms, 6.0% of total-time
Operation ival-sub, time spent: 1.0ms, 3.0% of total-time
Operation ival-neg, time spent: 1.0ms, 3.0% of total-time

series7.0ms (0.2%)

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

12 calls:

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

rewrite261.0ms (8%)

Algorithm
1×batch-egg-rewrite
Rules
1722×prod-diff
978×log1p-expm1-u
978×expm1-log1p-u
838×fma-define
502×fma-neg
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01552
118752
2259451
Stop Event
1×node limit
Counts
2 → 151
Calls
Call 1
Inputs
(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x)
(fma.f64 x (+.f64 y #s(literal -1 binary64)) y)
Outputs
(+.f64 (fma.f64 x y y) (neg.f64 x))
(+.f64 (fma.f64 x y y) (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(+.f64 (-.f64 (fma.f64 x y y) x) (fma.f64 (neg.f64 x) #s(literal 1 binary64) x))
(+.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))
(+.f64 (-.f64 (fma.f64 x y y) x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x))
(+.f64 (-.f64 (fma.f64 x y y) x) (fma.f64 #s(literal -1 binary64) x x))
(+.f64 (-.f64 (fma.f64 x y y) x) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) x))
(+.f64 (neg.f64 x) (fma.f64 x y y))
(+.f64 (fma.f64 #s(literal 1 binary64) (fma.f64 x y y) (neg.f64 (*.f64 (*.f64 (cbrt.f64 x) #s(literal 1 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (*.f64 (cbrt.f64 x) #s(literal 1 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (*.f64 (cbrt.f64 x) #s(literal 1 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))))
(+.f64 (fma.f64 #s(literal 1 binary64) (fma.f64 x y y) (neg.f64 (*.f64 (*.f64 (sqrt.f64 x) #s(literal 1 binary64)) (sqrt.f64 x)))) (fma.f64 (neg.f64 (*.f64 (sqrt.f64 x) #s(literal 1 binary64))) (sqrt.f64 x) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 1 binary64)) (sqrt.f64 x))))
(+.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) y (neg.f64 (*.f64 (*.f64 (cbrt.f64 x) #s(literal 1 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (*.f64 (cbrt.f64 x) #s(literal 1 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (*.f64 (cbrt.f64 x) #s(literal 1 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))))
(+.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) y (neg.f64 (*.f64 (*.f64 (sqrt.f64 x) #s(literal 1 binary64)) (sqrt.f64 x)))) (fma.f64 (neg.f64 (*.f64 (sqrt.f64 x) #s(literal 1 binary64))) (sqrt.f64 x) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 1 binary64)) (sqrt.f64 x))))
(+.f64 (fma.f64 y (+.f64 x #s(literal 1 binary64)) (neg.f64 (*.f64 (*.f64 (cbrt.f64 x) #s(literal 1 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (*.f64 (cbrt.f64 x) #s(literal 1 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (*.f64 (cbrt.f64 x) #s(literal 1 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))))
(+.f64 (fma.f64 y (+.f64 x #s(literal 1 binary64)) (neg.f64 (*.f64 (*.f64 (sqrt.f64 x) #s(literal 1 binary64)) (sqrt.f64 x)))) (fma.f64 (neg.f64 (*.f64 (sqrt.f64 x) #s(literal 1 binary64))) (sqrt.f64 x) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 1 binary64)) (sqrt.f64 x))))
(+.f64 (fma.f64 (fma.f64 x y y) #s(literal 1 binary64) (neg.f64 (*.f64 (*.f64 (cbrt.f64 x) #s(literal 1 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (*.f64 (cbrt.f64 x) #s(literal 1 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (*.f64 (cbrt.f64 x) #s(literal 1 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))))
(+.f64 (fma.f64 (fma.f64 x y y) #s(literal 1 binary64) (neg.f64 (*.f64 (*.f64 (sqrt.f64 x) #s(literal 1 binary64)) (sqrt.f64 x)))) (fma.f64 (neg.f64 (*.f64 (sqrt.f64 x) #s(literal 1 binary64))) (sqrt.f64 x) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 1 binary64)) (sqrt.f64 x))))
(+.f64 (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 (*.f64 (*.f64 (cbrt.f64 x) #s(literal 1 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (*.f64 (cbrt.f64 x) #s(literal 1 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (*.f64 (cbrt.f64 x) #s(literal 1 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))))
(+.f64 (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 (*.f64 (*.f64 (sqrt.f64 x) #s(literal 1 binary64)) (sqrt.f64 x)))) (fma.f64 (neg.f64 (*.f64 (sqrt.f64 x) #s(literal 1 binary64))) (sqrt.f64 x) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 1 binary64)) (sqrt.f64 x))))
(+.f64 (fma.f64 (cbrt.f64 (fma.f64 x y y)) (pow.f64 (cbrt.f64 (fma.f64 x y y)) #s(literal 2 binary64)) (neg.f64 (*.f64 (*.f64 (cbrt.f64 x) #s(literal 1 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (*.f64 (cbrt.f64 x) #s(literal 1 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (*.f64 (cbrt.f64 x) #s(literal 1 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))))
(+.f64 (fma.f64 (cbrt.f64 (fma.f64 x y y)) (pow.f64 (cbrt.f64 (fma.f64 x y y)) #s(literal 2 binary64)) (neg.f64 (*.f64 (*.f64 (sqrt.f64 x) #s(literal 1 binary64)) (sqrt.f64 x)))) (fma.f64 (neg.f64 (*.f64 (sqrt.f64 x) #s(literal 1 binary64))) (sqrt.f64 x) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 1 binary64)) (sqrt.f64 x))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x y y)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x y y)) (neg.f64 (*.f64 (*.f64 (cbrt.f64 x) #s(literal 1 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (*.f64 (cbrt.f64 x) #s(literal 1 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (*.f64 (cbrt.f64 x) #s(literal 1 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x y y)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x y y)) (neg.f64 (*.f64 (*.f64 (sqrt.f64 x) #s(literal 1 binary64)) (sqrt.f64 x)))) (fma.f64 (neg.f64 (*.f64 (sqrt.f64 x) #s(literal 1 binary64))) (sqrt.f64 x) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 1 binary64)) (sqrt.f64 x))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) (+.f64 x #s(literal 1 binary64))) (neg.f64 (*.f64 (*.f64 (cbrt.f64 x) #s(literal 1 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (*.f64 (cbrt.f64 x) #s(literal 1 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (*.f64 (cbrt.f64 x) #s(literal 1 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) (+.f64 x #s(literal 1 binary64))) (neg.f64 (*.f64 (*.f64 (sqrt.f64 x) #s(literal 1 binary64)) (sqrt.f64 x)))) (fma.f64 (neg.f64 (*.f64 (sqrt.f64 x) #s(literal 1 binary64))) (sqrt.f64 x) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 1 binary64)) (sqrt.f64 x))))
(+.f64 (fma.f64 (hypot.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 (hypot.f64 #s(literal 1 binary64) (sqrt.f64 x)) y) (neg.f64 (*.f64 (*.f64 (cbrt.f64 x) #s(literal 1 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (*.f64 (cbrt.f64 x) #s(literal 1 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (*.f64 (cbrt.f64 x) #s(literal 1 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))))
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(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 (+.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))) (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))
(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)))

simplify310.0ms (9.5%)

Algorithm
1×egg-herbie
Rules
1052×distribute-lft-in
1008×distribute-rgt-in
518×associate-+r+
490×associate-+l+
402×fma-neg
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
03466268
18626111
226996111
379466111
Stop Event
1×node limit
Counts
199 → 184
Calls
Call 1
Inputs
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 #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 y (+.f64 #s(literal 1 binary64) x))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (+.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 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 x y))))
y
(+.f64 y (*.f64 x (-.f64 y #s(literal 1 binary64))))
(+.f64 y (*.f64 x (-.f64 y #s(literal 1 binary64))))
(+.f64 y (*.f64 x (-.f64 y #s(literal 1 binary64))))
(*.f64 x (-.f64 y #s(literal 1 binary64)))
(*.f64 x (-.f64 (+.f64 y (/.f64 y x)) #s(literal 1 binary64)))
(*.f64 x (-.f64 (+.f64 y (/.f64 y x)) #s(literal 1 binary64)))
(*.f64 x (-.f64 (+.f64 y (/.f64 y x)) #s(literal 1 binary64)))
(*.f64 x (-.f64 y #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (-.f64 y #s(literal 1 binary64))) (*.f64 #s(literal -1 binary64) (/.f64 y x)))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (-.f64 y #s(literal 1 binary64))) (*.f64 #s(literal -1 binary64) (/.f64 y x)))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (-.f64 y #s(literal 1 binary64))) (*.f64 #s(literal -1 binary64) (/.f64 y x)))))
(*.f64 #s(literal -1 binary64) x)
(+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) x)))
(+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) x)))
(+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) x)))
(*.f64 y (+.f64 #s(literal 1 binary64) x))
(*.f64 y (+.f64 #s(literal 1 binary64) (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 x y)))))
(*.f64 y (+.f64 #s(literal 1 binary64) (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 x y)))))
(*.f64 y (+.f64 #s(literal 1 binary64) (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 x y)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) x) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 x y)) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 x y)) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 x y)) #s(literal 1 binary64))))
(+.f64 (fma.f64 x y y) (neg.f64 x))
(+.f64 (fma.f64 x y y) (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(+.f64 (-.f64 (fma.f64 x y y) x) (fma.f64 (neg.f64 x) #s(literal 1 binary64) x))
(+.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))
(+.f64 (-.f64 (fma.f64 x y y) x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x))
(+.f64 (-.f64 (fma.f64 x y y) x) (fma.f64 #s(literal -1 binary64) x x))
(+.f64 (-.f64 (fma.f64 x y y) x) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) x))
(+.f64 (neg.f64 x) (fma.f64 x y y))
(+.f64 (fma.f64 #s(literal 1 binary64) (fma.f64 x y y) (neg.f64 (*.f64 (*.f64 (cbrt.f64 x) #s(literal 1 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (*.f64 (cbrt.f64 x) #s(literal 1 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (*.f64 (cbrt.f64 x) #s(literal 1 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))))
(+.f64 (fma.f64 #s(literal 1 binary64) (fma.f64 x y y) (neg.f64 (*.f64 (*.f64 (sqrt.f64 x) #s(literal 1 binary64)) (sqrt.f64 x)))) (fma.f64 (neg.f64 (*.f64 (sqrt.f64 x) #s(literal 1 binary64))) (sqrt.f64 x) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 1 binary64)) (sqrt.f64 x))))
(+.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) y (neg.f64 (*.f64 (*.f64 (cbrt.f64 x) #s(literal 1 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (*.f64 (cbrt.f64 x) #s(literal 1 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (*.f64 (cbrt.f64 x) #s(literal 1 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))))
(+.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) y (neg.f64 (*.f64 (*.f64 (sqrt.f64 x) #s(literal 1 binary64)) (sqrt.f64 x)))) (fma.f64 (neg.f64 (*.f64 (sqrt.f64 x) #s(literal 1 binary64))) (sqrt.f64 x) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 1 binary64)) (sqrt.f64 x))))
(+.f64 (fma.f64 y (+.f64 x #s(literal 1 binary64)) (neg.f64 (*.f64 (*.f64 (cbrt.f64 x) #s(literal 1 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (*.f64 (cbrt.f64 x) #s(literal 1 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (*.f64 (cbrt.f64 x) #s(literal 1 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))))
(+.f64 (fma.f64 y (+.f64 x #s(literal 1 binary64)) (neg.f64 (*.f64 (*.f64 (sqrt.f64 x) #s(literal 1 binary64)) (sqrt.f64 x)))) (fma.f64 (neg.f64 (*.f64 (sqrt.f64 x) #s(literal 1 binary64))) (sqrt.f64 x) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 1 binary64)) (sqrt.f64 x))))
(+.f64 (fma.f64 (fma.f64 x y y) #s(literal 1 binary64) (neg.f64 (*.f64 (*.f64 (cbrt.f64 x) #s(literal 1 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (*.f64 (cbrt.f64 x) #s(literal 1 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (*.f64 (cbrt.f64 x) #s(literal 1 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))))
(+.f64 (fma.f64 (fma.f64 x y y) #s(literal 1 binary64) (neg.f64 (*.f64 (*.f64 (sqrt.f64 x) #s(literal 1 binary64)) (sqrt.f64 x)))) (fma.f64 (neg.f64 (*.f64 (sqrt.f64 x) #s(literal 1 binary64))) (sqrt.f64 x) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 1 binary64)) (sqrt.f64 x))))
(+.f64 (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 (*.f64 (*.f64 (cbrt.f64 x) #s(literal 1 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (*.f64 (cbrt.f64 x) #s(literal 1 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (*.f64 (cbrt.f64 x) #s(literal 1 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))))
(+.f64 (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 (*.f64 (*.f64 (sqrt.f64 x) #s(literal 1 binary64)) (sqrt.f64 x)))) (fma.f64 (neg.f64 (*.f64 (sqrt.f64 x) #s(literal 1 binary64))) (sqrt.f64 x) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 1 binary64)) (sqrt.f64 x))))
(+.f64 (fma.f64 (cbrt.f64 (fma.f64 x y y)) (pow.f64 (cbrt.f64 (fma.f64 x y y)) #s(literal 2 binary64)) (neg.f64 (*.f64 (*.f64 (cbrt.f64 x) #s(literal 1 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (*.f64 (cbrt.f64 x) #s(literal 1 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (*.f64 (cbrt.f64 x) #s(literal 1 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))))
(+.f64 (fma.f64 (cbrt.f64 (fma.f64 x y y)) (pow.f64 (cbrt.f64 (fma.f64 x y y)) #s(literal 2 binary64)) (neg.f64 (*.f64 (*.f64 (sqrt.f64 x) #s(literal 1 binary64)) (sqrt.f64 x)))) (fma.f64 (neg.f64 (*.f64 (sqrt.f64 x) #s(literal 1 binary64))) (sqrt.f64 x) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 1 binary64)) (sqrt.f64 x))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x y y)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x y y)) (neg.f64 (*.f64 (*.f64 (cbrt.f64 x) #s(literal 1 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (*.f64 (cbrt.f64 x) #s(literal 1 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (*.f64 (cbrt.f64 x) #s(literal 1 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x y y)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x y y)) (neg.f64 (*.f64 (*.f64 (sqrt.f64 x) #s(literal 1 binary64)) (sqrt.f64 x)))) (fma.f64 (neg.f64 (*.f64 (sqrt.f64 x) #s(literal 1 binary64))) (sqrt.f64 x) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 1 binary64)) (sqrt.f64 x))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) (+.f64 x #s(literal 1 binary64))) (neg.f64 (*.f64 (*.f64 (cbrt.f64 x) #s(literal 1 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (*.f64 (cbrt.f64 x) #s(literal 1 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (*.f64 (cbrt.f64 x) #s(literal 1 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) (+.f64 x #s(literal 1 binary64))) (neg.f64 (*.f64 (*.f64 (sqrt.f64 x) #s(literal 1 binary64)) (sqrt.f64 x)))) (fma.f64 (neg.f64 (*.f64 (sqrt.f64 x) #s(literal 1 binary64))) (sqrt.f64 x) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 1 binary64)) (sqrt.f64 x))))
(+.f64 (fma.f64 (hypot.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 (hypot.f64 #s(literal 1 binary64) (sqrt.f64 x)) y) (neg.f64 (*.f64 (*.f64 (cbrt.f64 x) #s(literal 1 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (*.f64 (cbrt.f64 x) #s(literal 1 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (*.f64 (cbrt.f64 x) #s(literal 1 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))))
(+.f64 (fma.f64 (hypot.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 (hypot.f64 #s(literal 1 binary64) (sqrt.f64 x)) y) (neg.f64 (*.f64 (*.f64 (sqrt.f64 x) #s(literal 1 binary64)) (sqrt.f64 x)))) (fma.f64 (neg.f64 (*.f64 (sqrt.f64 x) #s(literal 1 binary64))) (sqrt.f64 x) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 1 binary64)) (sqrt.f64 x))))
(+.f64 (fma.f64 (sqrt.f64 (fma.f64 x y y)) (sqrt.f64 (fma.f64 x y y)) (neg.f64 (*.f64 (*.f64 (cbrt.f64 x) #s(literal 1 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (*.f64 (cbrt.f64 x) #s(literal 1 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (*.f64 (cbrt.f64 x) #s(literal 1 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))))
(+.f64 (fma.f64 (sqrt.f64 (fma.f64 x y y)) (sqrt.f64 (fma.f64 x y y)) (neg.f64 (*.f64 (*.f64 (sqrt.f64 x) #s(literal 1 binary64)) (sqrt.f64 x)))) (fma.f64 (neg.f64 (*.f64 (sqrt.f64 x) #s(literal 1 binary64))) (sqrt.f64 x) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 1 binary64)) (sqrt.f64 x))))
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(*.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))) (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))
(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
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 #s(literal -1 binary64) (/.f64 y x))))
(*.f64 x (-.f64 (/.f64 y x) (-.f64 #s(literal 1 binary64) y)))
(*.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 #s(literal -1 binary64) (/.f64 y x))))
(*.f64 x (-.f64 (/.f64 y x) (-.f64 #s(literal 1 binary64) y)))
(*.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 #s(literal -1 binary64) (/.f64 y x))))
(*.f64 x (-.f64 (/.f64 y x) (-.f64 #s(literal 1 binary64) y)))
(*.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 #s(literal -1 binary64) (/.f64 y x))))
(*.f64 x (-.f64 (/.f64 y x) (-.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 x (+.f64 y (-.f64 (/.f64 y x) #s(literal 1 binary64))))
(*.f64 x (+.f64 y (+.f64 #s(literal -1 binary64) (/.f64 y x))))
(*.f64 x (-.f64 (/.f64 y x) (-.f64 #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 x (+.f64 y (-.f64 (/.f64 y x) #s(literal 1 binary64))))
(*.f64 x (+.f64 y (+.f64 #s(literal -1 binary64) (/.f64 y x))))
(*.f64 x (-.f64 (/.f64 y x) (-.f64 #s(literal 1 binary64) y)))
(*.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))
(*.f64 y (+.f64 x #s(literal 1 binary64)))
(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 #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 #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 #s(literal 1 binary64) x))
(*.f64 y (+.f64 x #s(literal 1 binary64)))
(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 x #s(literal 1 binary64)) (/.f64 (neg.f64 x) y)))
(*.f64 y (+.f64 #s(literal 1 binary64) (-.f64 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 x #s(literal 1 binary64)) (/.f64 (neg.f64 x) y)))
(*.f64 y (+.f64 #s(literal 1 binary64) (-.f64 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 x #s(literal 1 binary64)) (/.f64 (neg.f64 x) y)))
(*.f64 y (+.f64 #s(literal 1 binary64) (-.f64 x (/.f64 x y))))
y
(+.f64 y (*.f64 x (-.f64 y #s(literal 1 binary64))))
(fma.f64 x (+.f64 y #s(literal -1 binary64)) y)
(+.f64 y (*.f64 x (-.f64 y #s(literal 1 binary64))))
(fma.f64 x (+.f64 y #s(literal -1 binary64)) y)
(+.f64 y (*.f64 x (-.f64 y #s(literal 1 binary64))))
(fma.f64 x (+.f64 y #s(literal -1 binary64)) y)
(*.f64 x (-.f64 y #s(literal 1 binary64)))
(*.f64 x (+.f64 y #s(literal -1 binary64)))
(*.f64 x (-.f64 (+.f64 y (/.f64 y x)) #s(literal 1 binary64)))
(*.f64 x (+.f64 y (-.f64 (/.f64 y x) #s(literal 1 binary64))))
(*.f64 x (+.f64 y (+.f64 #s(literal -1 binary64) (/.f64 y x))))
(*.f64 x (-.f64 (/.f64 y x) (-.f64 #s(literal 1 binary64) y)))
(*.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 #s(literal -1 binary64) (/.f64 y x))))
(*.f64 x (-.f64 (/.f64 y x) (-.f64 #s(literal 1 binary64) y)))
(*.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 #s(literal -1 binary64) (/.f64 y x))))
(*.f64 x (-.f64 (/.f64 y x) (-.f64 #s(literal 1 binary64) y)))
(*.f64 x (-.f64 y #s(literal 1 binary64)))
(*.f64 x (+.f64 y #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (-.f64 y #s(literal 1 binary64))) (*.f64 #s(literal -1 binary64) (/.f64 y x)))))
(*.f64 x (+.f64 y (-.f64 (/.f64 y x) #s(literal 1 binary64))))
(*.f64 x (+.f64 y (+.f64 #s(literal -1 binary64) (/.f64 y x))))
(*.f64 x (-.f64 (/.f64 y x) (-.f64 #s(literal 1 binary64) y)))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (-.f64 y #s(literal 1 binary64))) (*.f64 #s(literal -1 binary64) (/.f64 y x)))))
(*.f64 x (+.f64 y (-.f64 (/.f64 y x) #s(literal 1 binary64))))
(*.f64 x (+.f64 y (+.f64 #s(literal -1 binary64) (/.f64 y x))))
(*.f64 x (-.f64 (/.f64 y x) (-.f64 #s(literal 1 binary64) y)))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (-.f64 y #s(literal 1 binary64))) (*.f64 #s(literal -1 binary64) (/.f64 y x)))))
(*.f64 x (+.f64 y (-.f64 (/.f64 y x) #s(literal 1 binary64))))
(*.f64 x (+.f64 y (+.f64 #s(literal -1 binary64) (/.f64 y x))))
(*.f64 x (-.f64 (/.f64 y x) (-.f64 #s(literal 1 binary64) y)))
(*.f64 #s(literal -1 binary64) x)
(neg.f64 x)
(+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) x)))
(fma.f64 x (+.f64 y #s(literal -1 binary64)) y)
(+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) x)))
(fma.f64 x (+.f64 y #s(literal -1 binary64)) y)
(+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) x)))
(fma.f64 x (+.f64 y #s(literal -1 binary64)) y)
(*.f64 y (+.f64 #s(literal 1 binary64) x))
(*.f64 y (+.f64 x #s(literal 1 binary64)))
(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 #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 #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 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) x) #s(literal 1 binary64))))
(*.f64 y (+.f64 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 #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 #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 (fma.f64 x y y) (neg.f64 x))
(fma.f64 x (+.f64 y #s(literal -1 binary64)) y)
(+.f64 (fma.f64 x y y) (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(fma.f64 x (+.f64 y #s(literal -1 binary64)) y)
(+.f64 (-.f64 (fma.f64 x y y) x) (fma.f64 (neg.f64 x) #s(literal 1 binary64) x))
(fma.f64 x (+.f64 y #s(literal -1 binary64)) y)
(+.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 x (+.f64 y #s(literal -1 binary64)) y)
(+.f64 (-.f64 (fma.f64 x y y) x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x))
(fma.f64 x (+.f64 y #s(literal -1 binary64)) y)
(+.f64 (-.f64 (fma.f64 x y y) x) (fma.f64 #s(literal -1 binary64) x x))
(fma.f64 x (+.f64 y #s(literal -1 binary64)) y)
(+.f64 (-.f64 (fma.f64 x y y) x) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) x))
(fma.f64 x (+.f64 y #s(literal -1 binary64)) y)
(+.f64 (neg.f64 x) (fma.f64 x y y))
(fma.f64 x (+.f64 y #s(literal -1 binary64)) y)
(+.f64 (fma.f64 #s(literal 1 binary64) (fma.f64 x y y) (neg.f64 (*.f64 (*.f64 (cbrt.f64 x) #s(literal 1 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (*.f64 (cbrt.f64 x) #s(literal 1 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (*.f64 (cbrt.f64 x) #s(literal 1 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))))
(fma.f64 x (+.f64 y #s(literal -1 binary64)) y)
(+.f64 (fma.f64 #s(literal 1 binary64) (fma.f64 x y y) (neg.f64 (*.f64 (*.f64 (sqrt.f64 x) #s(literal 1 binary64)) (sqrt.f64 x)))) (fma.f64 (neg.f64 (*.f64 (sqrt.f64 x) #s(literal 1 binary64))) (sqrt.f64 x) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 1 binary64)) (sqrt.f64 x))))
(fma.f64 x (+.f64 y #s(literal -1 binary64)) y)
(+.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) y (neg.f64 (*.f64 (*.f64 (cbrt.f64 x) #s(literal 1 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (*.f64 (cbrt.f64 x) #s(literal 1 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (*.f64 (cbrt.f64 x) #s(literal 1 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))))
(fma.f64 x (+.f64 y #s(literal -1 binary64)) y)
(+.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) y (neg.f64 (*.f64 (*.f64 (sqrt.f64 x) #s(literal 1 binary64)) (sqrt.f64 x)))) (fma.f64 (neg.f64 (*.f64 (sqrt.f64 x) #s(literal 1 binary64))) (sqrt.f64 x) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 1 binary64)) (sqrt.f64 x))))
(fma.f64 x (+.f64 y #s(literal -1 binary64)) y)
(+.f64 (fma.f64 y (+.f64 x #s(literal 1 binary64)) (neg.f64 (*.f64 (*.f64 (cbrt.f64 x) #s(literal 1 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (*.f64 (cbrt.f64 x) #s(literal 1 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (*.f64 (cbrt.f64 x) #s(literal 1 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))))
(fma.f64 x (+.f64 y #s(literal -1 binary64)) y)
(+.f64 (fma.f64 y (+.f64 x #s(literal 1 binary64)) (neg.f64 (*.f64 (*.f64 (sqrt.f64 x) #s(literal 1 binary64)) (sqrt.f64 x)))) (fma.f64 (neg.f64 (*.f64 (sqrt.f64 x) #s(literal 1 binary64))) (sqrt.f64 x) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 1 binary64)) (sqrt.f64 x))))
(fma.f64 x (+.f64 y #s(literal -1 binary64)) y)
(+.f64 (fma.f64 (fma.f64 x y y) #s(literal 1 binary64) (neg.f64 (*.f64 (*.f64 (cbrt.f64 x) #s(literal 1 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (*.f64 (cbrt.f64 x) #s(literal 1 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (*.f64 (cbrt.f64 x) #s(literal 1 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))))
(fma.f64 x (+.f64 y #s(literal -1 binary64)) y)
(+.f64 (fma.f64 (fma.f64 x y y) #s(literal 1 binary64) (neg.f64 (*.f64 (*.f64 (sqrt.f64 x) #s(literal 1 binary64)) (sqrt.f64 x)))) (fma.f64 (neg.f64 (*.f64 (sqrt.f64 x) #s(literal 1 binary64))) (sqrt.f64 x) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 1 binary64)) (sqrt.f64 x))))
(fma.f64 x (+.f64 y #s(literal -1 binary64)) y)
(+.f64 (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 (*.f64 (*.f64 (cbrt.f64 x) #s(literal 1 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (*.f64 (cbrt.f64 x) #s(literal 1 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (*.f64 (cbrt.f64 x) #s(literal 1 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))))
(fma.f64 x (+.f64 y #s(literal -1 binary64)) y)
(+.f64 (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 (*.f64 (*.f64 (sqrt.f64 x) #s(literal 1 binary64)) (sqrt.f64 x)))) (fma.f64 (neg.f64 (*.f64 (sqrt.f64 x) #s(literal 1 binary64))) (sqrt.f64 x) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 1 binary64)) (sqrt.f64 x))))
(fma.f64 x (+.f64 y #s(literal -1 binary64)) y)
(+.f64 (fma.f64 (cbrt.f64 (fma.f64 x y y)) (pow.f64 (cbrt.f64 (fma.f64 x y y)) #s(literal 2 binary64)) (neg.f64 (*.f64 (*.f64 (cbrt.f64 x) #s(literal 1 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (*.f64 (cbrt.f64 x) #s(literal 1 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (*.f64 (cbrt.f64 x) #s(literal 1 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))))
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(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)

eval94.0ms (2.9%)

Compiler

Compiled 3308 to 1537 computations (53.5% saved)

prune26.0ms (0.8%)

Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New1804184
Fresh000
Picked123
Done000
Total1816187
Accuracy
100.0%
Counts
187 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(fma.f64 (+.f64 x #s(literal 1 binary64)) y (neg.f64 x))
✓100.0%
(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x)
▶63.3%
(*.f64 y (+.f64 x #s(literal 1 binary64)))
▶63.4%
(*.f64 x (-.f64 y #s(literal 1 binary64)))
▶38.1%
(neg.f64 x)
▶39.0%
y
Compiler

Compiled 39 to 27 computations (30.8% saved)

localize52.0ms (1.6%)

Localize:

Found 1 expressions with local error:

NewAccuracyProgram
✓100.0%
(*.f64 x (-.f64 y #s(literal 1 binary64)))
Compiler

Compiled 29 to 16 computations (44.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
Operation ival-mult, time spent: 4.0ms, 32.0% of total-time
Operation ival-sub, time spent: 3.0ms, 24.0% of total-time
Operation ival-add, time spent: 3.0ms, 24.0% of total-time
Operation const, time spent: 1.0ms, 8.0% of total-time
Operation ival-neg, time spent: 1.0ms, 8.0% of total-time

series2.0ms (0.1%)

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

6 calls:

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

rewrite74.0ms (2.3%)

Algorithm
1×batch-egg-rewrite
Rules
768×unpow-prod-down
436×log-prod
432×log1p-expm1-u
432×expm1-log1p-u
422×cbrt-prod
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01019
110419
2123419
Stop Event
1×node limit
Counts
1 → 29
Calls
Call 1
Inputs
(*.f64 x (-.f64 y #s(literal 1 binary64)))
Outputs
(+.f64 #s(literal 0 binary64) (*.f64 x (+.f64 y #s(literal -1 binary64))))
(+.f64 (*.f64 x y) (*.f64 x #s(literal -1 binary64)))
(+.f64 (*.f64 y x) (*.f64 #s(literal -1 binary64) x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 y #s(literal -1 binary64))) x)) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 y #s(literal -1 binary64))) x))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 y #s(literal -1 binary64))) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 y #s(literal -1 binary64))) x))))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 y #s(literal -1 binary64)))) #s(literal 1 binary64))
(/.f64 (*.f64 x (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1 binary64))) (+.f64 (fma.f64 y y #s(literal 1 binary64)) y))
(/.f64 (*.f64 x (fma.f64 y y #s(literal -1 binary64))) (+.f64 y #s(literal 1 binary64)))
(/.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1 binary64)) x) (+.f64 (fma.f64 y y #s(literal 1 binary64)) y))
(/.f64 (*.f64 (fma.f64 y y #s(literal -1 binary64)) x) (+.f64 y #s(literal 1 binary64)))
(pow.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (+.f64 y #s(literal -1 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (+.f64 y #s(literal -1 binary64)))) #s(literal 2 binary64))
(pow.f64 (E.f64) (log.f64 (*.f64 x (+.f64 y #s(literal -1 binary64)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 x (+.f64 y #s(literal -1 binary64)))))) (sqrt.f64 (log.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))))))
(sqrt.f64 (pow.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (+.f64 y #s(literal -1 binary64))) x))
(cbrt.f64 (pow.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x (+.f64 y #s(literal -1 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 x (+.f64 y #s(literal -1 binary64)))))
(exp.f64 (log.f64 (*.f64 x (+.f64 y #s(literal -1 binary64)))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))))) #s(literal 2 binary64)))
(fma.f64 x y (*.f64 x #s(literal -1 binary64)))
(fma.f64 y x (*.f64 #s(literal -1 binary64) x))

simplify66.0ms (2%)

Algorithm
1×egg-herbie
Rules
1674×fma-neg
626×unsub-neg
540×associate-+r+
498×associate-+l+
498×prod-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0971004
11941004
24811004
319261004
443131004
Stop Event
1×node limit
Counts
41 → 44
Calls
Call 1
Inputs
(*.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))))
(+.f64 #s(literal 0 binary64) (*.f64 x (+.f64 y #s(literal -1 binary64))))
(+.f64 (*.f64 x y) (*.f64 x #s(literal -1 binary64)))
(+.f64 (*.f64 y x) (*.f64 #s(literal -1 binary64) x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 y #s(literal -1 binary64))) x)) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 y #s(literal -1 binary64))) x))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 y #s(literal -1 binary64))) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 y #s(literal -1 binary64))) x))))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 y #s(literal -1 binary64)))) #s(literal 1 binary64))
(/.f64 (*.f64 x (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1 binary64))) (+.f64 (fma.f64 y y #s(literal 1 binary64)) y))
(/.f64 (*.f64 x (fma.f64 y y #s(literal -1 binary64))) (+.f64 y #s(literal 1 binary64)))
(/.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1 binary64)) x) (+.f64 (fma.f64 y y #s(literal 1 binary64)) y))
(/.f64 (*.f64 (fma.f64 y y #s(literal -1 binary64)) x) (+.f64 y #s(literal 1 binary64)))
(pow.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (+.f64 y #s(literal -1 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (+.f64 y #s(literal -1 binary64)))) #s(literal 2 binary64))
(pow.f64 (E.f64) (log.f64 (*.f64 x (+.f64 y #s(literal -1 binary64)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 x (+.f64 y #s(literal -1 binary64)))))) (sqrt.f64 (log.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))))))
(sqrt.f64 (pow.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (+.f64 y #s(literal -1 binary64))) x))
(cbrt.f64 (pow.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x (+.f64 y #s(literal -1 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 x (+.f64 y #s(literal -1 binary64)))))
(exp.f64 (log.f64 (*.f64 x (+.f64 y #s(literal -1 binary64)))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))))) #s(literal 2 binary64)))
(fma.f64 x y (*.f64 x #s(literal -1 binary64)))
(fma.f64 y x (*.f64 #s(literal -1 binary64) x))
Outputs
(*.f64 #s(literal -1 binary64) x)
(neg.f64 x)
(+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 x y))
(*.f64 x (+.f64 #s(literal -1 binary64) y))
(+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 x y))
(*.f64 x (+.f64 #s(literal -1 binary64) y))
(+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 x y))
(*.f64 x (+.f64 #s(literal -1 binary64) y))
(*.f64 x y)
(*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 x y))))
(*.f64 x (+.f64 #s(literal -1 binary64) y))
(*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 x y))))
(*.f64 x (+.f64 #s(literal -1 binary64) y))
(*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 x y))))
(*.f64 x (+.f64 #s(literal -1 binary64) y))
(*.f64 x y)
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 x y))))
(*.f64 x (+.f64 #s(literal -1 binary64) y))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 x y))))
(*.f64 x (+.f64 #s(literal -1 binary64) y))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 x y))))
(*.f64 x (+.f64 #s(literal -1 binary64) y))
(+.f64 #s(literal 0 binary64) (*.f64 x (+.f64 y #s(literal -1 binary64))))
(*.f64 x (+.f64 #s(literal -1 binary64) y))
(+.f64 (*.f64 x y) (*.f64 x #s(literal -1 binary64)))
(*.f64 x (+.f64 #s(literal -1 binary64) y))
(+.f64 (*.f64 y x) (*.f64 #s(literal -1 binary64) x))
(*.f64 x (+.f64 #s(literal -1 binary64) y))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 y #s(literal -1 binary64))) x)) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 y #s(literal -1 binary64))) x))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 #s(literal -1 binary64) y)) x)) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 #s(literal -1 binary64) y)) x))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 #s(literal -1 binary64) y))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 #s(literal -1 binary64) y)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 y #s(literal -1 binary64))) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 y #s(literal -1 binary64))) x))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 #s(literal -1 binary64) y)) x))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 #s(literal -1 binary64) y)))))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 y #s(literal -1 binary64)))) #s(literal 1 binary64))
(*.f64 x (+.f64 #s(literal -1 binary64) y))
(/.f64 (*.f64 x (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1 binary64))) (+.f64 (fma.f64 y y #s(literal 1 binary64)) y))
(*.f64 x (/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64))) (+.f64 y (fma.f64 y y #s(literal 1 binary64)))))
(/.f64 (*.f64 x (fma.f64 y y #s(literal -1 binary64))) (+.f64 y #s(literal 1 binary64)))
(*.f64 x (+.f64 #s(literal -1 binary64) y))
(/.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1 binary64)) x) (+.f64 (fma.f64 y y #s(literal 1 binary64)) y))
(*.f64 x (/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64))) (+.f64 y (fma.f64 y y #s(literal 1 binary64)))))
(/.f64 (*.f64 (fma.f64 y y #s(literal -1 binary64)) x) (+.f64 y #s(literal 1 binary64)))
(*.f64 x (+.f64 #s(literal -1 binary64) y))
(pow.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) #s(literal 1 binary64))
(*.f64 x (+.f64 #s(literal -1 binary64) y))
(pow.f64 (cbrt.f64 (*.f64 x (+.f64 y #s(literal -1 binary64)))) #s(literal 3 binary64))
(*.f64 x (+.f64 #s(literal -1 binary64) y))
(pow.f64 (pow.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(*.f64 x (+.f64 #s(literal -1 binary64) y))
(pow.f64 (pow.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 x (+.f64 #s(literal -1 binary64) y))
(pow.f64 (sqrt.f64 (*.f64 x (+.f64 y #s(literal -1 binary64)))) #s(literal 2 binary64))
(*.f64 x (+.f64 #s(literal -1 binary64) y))
(pow.f64 (E.f64) (log.f64 (*.f64 x (+.f64 y #s(literal -1 binary64)))))
(pow.f64 (E.f64) (log.f64 (*.f64 x (+.f64 #s(literal -1 binary64) y))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 x (+.f64 #s(literal -1 binary64) y)))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (*.f64 x (+.f64 #s(literal -1 binary64) y)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 x (+.f64 y #s(literal -1 binary64)))))) (sqrt.f64 (log.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 x (+.f64 #s(literal -1 binary64) y))))) (sqrt.f64 (log.f64 (*.f64 x (+.f64 #s(literal -1 binary64) y)))))
(sqrt.f64 (pow.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) #s(literal 2 binary64)))
(*.f64 x (+.f64 #s(literal -1 binary64) y))
(log.f64 (pow.f64 (exp.f64 (+.f64 y #s(literal -1 binary64))) x))
(*.f64 x (+.f64 #s(literal -1 binary64) y))
(cbrt.f64 (pow.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) #s(literal 3 binary64)))
(*.f64 x (+.f64 #s(literal -1 binary64) y))
(expm1.f64 (log1p.f64 (*.f64 x (+.f64 y #s(literal -1 binary64)))))
(*.f64 x (+.f64 #s(literal -1 binary64) y))
(log1p.f64 (expm1.f64 (*.f64 x (+.f64 y #s(literal -1 binary64)))))
(*.f64 x (+.f64 #s(literal -1 binary64) y))
(exp.f64 (log.f64 (*.f64 x (+.f64 y #s(literal -1 binary64)))))
(*.f64 x (+.f64 #s(literal -1 binary64) y))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))))) #s(literal 3 binary64)))
(*.f64 x (+.f64 #s(literal -1 binary64) y))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(*.f64 x (+.f64 #s(literal -1 binary64) y))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))))) #s(literal 2 binary64)))
(*.f64 x (+.f64 #s(literal -1 binary64) y))
(fma.f64 x y (*.f64 x #s(literal -1 binary64)))
(*.f64 x (+.f64 #s(literal -1 binary64) y))
(fma.f64 y x (*.f64 #s(literal -1 binary64) x))
(*.f64 x (+.f64 #s(literal -1 binary64) y))

eval11.0ms (0.3%)

Compiler

Compiled 440 to 310 computations (29.5% saved)

prune9.0ms (0.3%)

Pruning

7 alts after pruning (2 fresh and 5 done)

PrunedKeptTotal
New42244
Fresh000
Picked044
Done112
Total43750
Accuracy
100.0%
Counts
50 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶63.4%
(fma.f64 y x (*.f64 #s(literal -1 binary64) x))
✓100.0%
(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x)
✓63.3%
(*.f64 y (+.f64 x #s(literal 1 binary64)))
✓63.4%
(*.f64 x (-.f64 y #s(literal 1 binary64)))
▶27.1%
(*.f64 x y)
✓38.1%
(neg.f64 x)
✓39.0%
y
Compiler

Compiled 43 to 29 computations (32.6% saved)

localize47.0ms (1.4%)

Compiler

Compiled 20 to 10 computations (50% saved)

Precisions
Click to see histograms. Total time spent on operations: 22.0ms
Operation ival-mult, time spent: 15.0ms, 70.0% of total-time
Operation composed, time spent: 4.0ms, 19.0% of total-time
Operation ival-add, time spent: 2.0ms, 9.0% of total-time
Operation const, time spent: 1.0ms, 5.0% of total-time

eval0.0ms (0%)

Compiler

Compiled 2 to 2 computations (0% saved)

prune4.0ms (0.1%)

Pruning

7 alts after pruning (0 fresh and 7 done)

PrunedKeptTotal
New000
Fresh000
Picked022
Done055
Total077
Accuracy
100.0%
Counts
7 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓63.4%
(fma.f64 y x (*.f64 #s(literal -1 binary64) x))
✓100.0%
(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x)
✓63.3%
(*.f64 y (+.f64 x #s(literal 1 binary64)))
✓63.4%
(*.f64 x (-.f64 y #s(literal 1 binary64)))
✓27.1%
(*.f64 x y)
✓38.1%
(neg.f64 x)
✓39.0%
y
Compiler

Compiled 87 to 52 computations (40.2% saved)

regimes20.0ms (0.6%)

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

3 calls:

7.0ms
x
7.0ms
(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x)
6.0ms
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)

regimes19.0ms (0.6%)

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

3 calls:

6.0ms
x
6.0ms
(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x)
6.0ms
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)

regimes28.0ms (0.8%)

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

2 calls:

14.0ms
y
13.0ms
x
Results
AccuracySegmentsBranch
90.3%3x
88.9%3y
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes13.0ms (0.4%)

Counts
4 → 3
Calls
Call 1
Inputs
y
(neg.f64 x)
(*.f64 x y)
(*.f64 x (-.f64 y #s(literal 1 binary64)))
Outputs
(*.f64 x (-.f64 y #s(literal 1 binary64)))
y
(*.f64 x (-.f64 y #s(literal 1 binary64)))
Calls

1 calls:

12.0ms
x
Results
AccuracySegmentsBranch
90.0%3x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes42.0ms (1.3%)

Counts
3 → 6
Calls
Call 1
Inputs
y
(neg.f64 x)
(*.f64 x y)
Outputs
(neg.f64 x)
(*.f64 x y)
(neg.f64 x)
y
(neg.f64 x)
(*.f64 x y)
Calls

2 calls:

21.0ms
x
20.0ms
y
Results
AccuracySegmentsBranch
70.9%6y
73.3%6x
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes19.0ms (0.6%)

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

2 calls:

10.0ms
y
9.0ms
x
Results
AccuracySegmentsBranch
64.6%3y
64.7%3x
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes6.0ms (0.2%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
y
Outputs
y
Calls

2 calls:

3.0ms
y
3.0ms
x
Results
AccuracySegmentsBranch
39.0%1y
39.0%1x
Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch33.0ms (1%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
15.0ms
4.175196392548787e-98
3.78146981418993e-94
18.0ms
-1467944.5779632353
-315.61316230800895
Results
28.0ms255×256valid
0.0ms1×256valid
Compiler

Compiled 270 to 202 computations (25.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
Operation ival-add, time spent: 2.0ms, 35.0% of total-time
Operation ival-mult, time spent: 2.0ms, 35.0% of total-time
Operation ival-sub, time spent: 1.0ms, 17.0% of total-time
Operation const, time spent: 0.0ms, 0.0% of total-time

bsearch153.0ms (4.7%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
134.0ms
4.175196392548787e-98
3.78146981418993e-94
18.0ms
-8.620515059245226e-16
-2.3136514315548688e-18
Results
148.0ms255×256valid
0.0ms1×256valid
Compiler

Compiled 206 to 154 computations (25.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
Operation ival-sub, time spent: 2.0ms, 34.0% of total-time
Operation ival-add, time spent: 2.0ms, 34.0% of total-time
Operation ival-mult, time spent: 2.0ms, 34.0% of total-time
Operation const, time spent: 0.0ms, 0.0% of total-time

bsearch86.0ms (2.6%)

Algorithm
5×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
1×narrow-enough
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
20.0ms
3.925307095359742e-18
6.72133928598444e+19
17.0ms
4.175196392548787e-98
3.78146981418993e-94
17.0ms
-8.620515059245226e-16
-2.3136514315548688e-18
18.0ms
-1.0718747868622233e+68
-1.5476285208108072e+65
14.0ms
-7.525313347219763e+216
-9.663917925569171e+212
Results
65.0ms622×256valid
10.0ms65×256infinite
0.0ms1×256valid
Compiler

Compiled 455 to 338 computations (25.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 19.0ms
Operation ival-mult, time spent: 9.0ms, 48.0% of total-time
Operation ival-add, time spent: 5.0ms, 27.0% of total-time
Operation ival-sub, time spent: 4.0ms, 21.0% of total-time
Operation const, time spent: 1.0ms, 5.0% of total-time

bsearch80.0ms (2.5%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
17.0ms
4.175196392548787e-98
3.78146981418993e-94
63.0ms
-8.620515059245226e-16
-2.3136514315548688e-18
Results
76.0ms255×256valid
0.0ms1×256valid
Compiler

Compiled 158 to 122 computations (22.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
Operation ival-add, time spent: 2.0ms, 35.0% of total-time
Operation ival-mult, time spent: 2.0ms, 35.0% of total-time
Operation ival-sub, time spent: 1.0ms, 17.0% of total-time
Operation const, time spent: 0.0ms, 0.0% of total-time

simplify13.0ms (0.4%)

Algorithm
1×egg-herbie
Rules
12×unsub-neg
12×*-commutative
10×neg-mul-1
10×+-commutative
8×sub-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
053340
180340
286340
392340
499340
5110340
Stop Event
1×done
1×saturated
Calls
Call 1
Inputs
(fma.f64 (+.f64 x #s(literal 1 binary64)) y (neg.f64 x))
(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x)
(if (<=.f64 x #s(literal -9500 binary64)) (*.f64 x (-.f64 y #s(literal 1 binary64))) (if (<=.f64 x #s(literal 4321318352303853/37576681324381331646231689548629392438010920782533117931316655544515344401833735095419183974156299248510959616 binary64)) (*.f64 y (+.f64 x #s(literal 1 binary64))) (*.f64 x (-.f64 y #s(literal 1 binary64)))))
(if (<=.f64 x #s(literal -6490371073168535/40564819207303340847894502572032 binary64)) (*.f64 x (-.f64 y #s(literal 1 binary64))) (if (<=.f64 x #s(literal 3475843022505273/9394170331095332911557922387157348109502730195633279482829163886128836100458433773854795993539074812127739904 binary64)) y (*.f64 x (-.f64 y #s(literal 1 binary64)))))
(if (<=.f64 x #s(literal -4999999999999999772223133475743019061733712700409539130496607211544840259226135691611880105565210303017104153796972357853870064153456670293082673807209411155434429495479368482882719667688996710696271289138913738752 binary64)) (neg.f64 x) (if (<=.f64 x #s(literal -26000000000000000449102776357989308569167396697394711200905536995328 binary64)) (*.f64 x y) (if (<=.f64 x #s(literal -6591783121186793/10141204801825835211973625643008 binary64)) (neg.f64 x) (if (<=.f64 x #s(literal 3475843022505273/9394170331095332911557922387157348109502730195633279482829163886128836100458433773854795993539074812127739904 binary64)) y (if (<=.f64 x #s(literal 30000000000 binary64)) (neg.f64 x) (*.f64 x y))))))
(if (<=.f64 x #s(literal -8315787937497185/10141204801825835211973625643008 binary64)) (neg.f64 x) (if (<=.f64 x #s(literal 2855827780652981/75153362648762663292463379097258784876021841565066235862633311089030688803667470190838367948312598497021919232 binary64)) y (neg.f64 x)))
y
Outputs
(fma.f64 (+.f64 x #s(literal 1 binary64)) y (neg.f64 x))
(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x)
(if (<=.f64 x #s(literal -9500 binary64)) (*.f64 x (-.f64 y #s(literal 1 binary64))) (if (<=.f64 x #s(literal 4321318352303853/37576681324381331646231689548629392438010920782533117931316655544515344401833735095419183974156299248510959616 binary64)) (*.f64 y (+.f64 x #s(literal 1 binary64))) (*.f64 x (-.f64 y #s(literal 1 binary64)))))
(if (or (<=.f64 x #s(literal -9500 binary64)) (not (<=.f64 x #s(literal 4321318352303853/37576681324381331646231689548629392438010920782533117931316655544515344401833735095419183974156299248510959616 binary64)))) (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 (+.f64 x #s(literal 1 binary64)) y))
(if (or (<=.f64 x #s(literal -9500 binary64)) (not (<=.f64 x #s(literal 4321318352303853/37576681324381331646231689548629392438010920782533117931316655544515344401833735095419183974156299248510959616 binary64)))) (*.f64 x (+.f64 y #s(literal -1 binary64))) (*.f64 (+.f64 x #s(literal 1 binary64)) y))
(if (<=.f64 x #s(literal -6490371073168535/40564819207303340847894502572032 binary64)) (*.f64 x (-.f64 y #s(literal 1 binary64))) (if (<=.f64 x #s(literal 3475843022505273/9394170331095332911557922387157348109502730195633279482829163886128836100458433773854795993539074812127739904 binary64)) y (*.f64 x (-.f64 y #s(literal 1 binary64)))))
(if (or (<=.f64 x #s(literal -6490371073168535/40564819207303340847894502572032 binary64)) (not (<=.f64 x #s(literal 3475843022505273/9394170331095332911557922387157348109502730195633279482829163886128836100458433773854795993539074812127739904 binary64)))) (*.f64 x (-.f64 y #s(literal 1 binary64))) y)
(if (or (<=.f64 x #s(literal -6490371073168535/40564819207303340847894502572032 binary64)) (not (<=.f64 x #s(literal 3475843022505273/9394170331095332911557922387157348109502730195633279482829163886128836100458433773854795993539074812127739904 binary64)))) (*.f64 x (+.f64 y #s(literal -1 binary64))) y)
(if (<=.f64 x #s(literal -4999999999999999772223133475743019061733712700409539130496607211544840259226135691611880105565210303017104153796972357853870064153456670293082673807209411155434429495479368482882719667688996710696271289138913738752 binary64)) (neg.f64 x) (if (<=.f64 x #s(literal -26000000000000000449102776357989308569167396697394711200905536995328 binary64)) (*.f64 x y) (if (<=.f64 x #s(literal -6591783121186793/10141204801825835211973625643008 binary64)) (neg.f64 x) (if (<=.f64 x #s(literal 3475843022505273/9394170331095332911557922387157348109502730195633279482829163886128836100458433773854795993539074812127739904 binary64)) y (if (<=.f64 x #s(literal 30000000000 binary64)) (neg.f64 x) (*.f64 x y))))))
(if (<=.f64 x #s(literal -8315787937497185/10141204801825835211973625643008 binary64)) (neg.f64 x) (if (<=.f64 x #s(literal 2855827780652981/75153362648762663292463379097258784876021841565066235862633311089030688803667470190838367948312598497021919232 binary64)) y (neg.f64 x)))
(if (or (<=.f64 x #s(literal -8315787937497185/10141204801825835211973625643008 binary64)) (not (<=.f64 x #s(literal 2855827780652981/75153362648762663292463379097258784876021841565066235862633311089030688803667470190838367948312598497021919232 binary64)))) (neg.f64 x) y)
y
Compiler

Compiled 108 to 70 computations (35.2% saved)

soundness332.0ms (10.2%)

Rules
1272×fma-neg
1262×fma-define
1052×distribute-lft-in
1008×distribute-rgt-in
518×associate-+r+
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
024228
156204
2152185
3693182
41591176
52456176
62748176
72798176
03466268
18626111
226996111
379466111
Stop Event
1×node limit
1×saturated
Compiler

Compiled 35 to 23 computations (34.3% saved)

end0.0ms (0%)

preprocess65.0ms (2%)

Compiler

Compiled 210 to 124 computations (41% saved)

Profiling

Loading profile data...