Data.Colour.SRGB:transferFunction from colour-2.3.3

Time bar (total: 2.9s)

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

sample1.0s (34.9%)

Results
829.0ms7241×256valid
138.0ms1012×256infinite
0.0ms1×256infinite
0.0ms1×512valid
0.0ms1×1024valid
Precisions
Click to see histograms. Total time spent on operations: 265.0ms
Operation ival-add, time spent: 131.0ms, 49.0% of total-time
Operation ival-mult, time spent: 69.0ms, 26.0% of total-time
Operation ival-sub, time spent: 50.0ms, 19.0% of total-time
Operation const, time spent: 15.0ms, 6.0% of total-time
Bogosity

preprocess349.0ms (11.8%)

Algorithm
1×egg-herbie
Rules
643×fmm-def
618×fma-define
124×distribute-rgt-in
98×unsub-neg
73×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
52449176
62741176
72791176
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 #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)
Compiler

Compiled 51 to 32 computations (37.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 184.0ms
Operation ival-add, time spent: 171.0ms, 93.0% of total-time
Operation ival-mult, time spent: 8.0ms, 4.0% of total-time
Operation ival-sub, time spent: 3.0ms, 2.0% of total-time
Operation const, time spent: 2.0ms, 1.0% of total-time

eval1.0ms (0%)

Compiler

Compiled 21 to 11 computations (47.6% saved)

prune1.0ms (0%)

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)

localize60.0ms (2.1%)

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 33 to 19 computations (42.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 26.0ms
Operation ival-add, time spent: 8.0ms, 31.0% of total-time
Operation ival-mult, time spent: 8.0ms, 31.0% of total-time
Operation composed, time spent: 7.0ms, 27.0% of total-time
Operation ival-sub, time spent: 1.0ms, 4.0% of total-time
Operation const, time spent: 1.0ms, 4.0% of total-time

series9.0ms (0.3%)

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
3.0ms
y
@inf
(+ (* x (+ y -1)) y)
1.0ms
y
@-inf
(- (* (+ x 1) y) x)
1.0ms
y
@-inf
(+ (* x (+ y -1)) y)
0.0ms
x
@-inf
(+ (* x (+ y -1)) y)
0.0ms
y
@inf
(- (* (+ x 1) y) x)

rewrite238.0ms (8.1%)

Algorithm
1×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
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)))

simplify98.0ms (3.3%)

Algorithm
1×egg-herbie
Rules
591×distribute-lft-in
570×distribute-rgt-in
261×associate-+r+
252×associate-+l+
240×fmm-def
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
03466268
19076111
227446111
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 (+.f64 y (/.f64 y x)) #s(literal -1 binary64)))
(*.f64 x (+.f64 y (+.f64 #s(literal -1 binary64) (/.f64 y x))))
(*.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 (+.f64 y (/.f64 y x)) #s(literal -1 binary64)))
(*.f64 x (+.f64 y (+.f64 #s(literal -1 binary64) (/.f64 y x))))
(*.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 (+.f64 y (/.f64 y x)) #s(literal -1 binary64)))
(*.f64 x (+.f64 y (+.f64 #s(literal -1 binary64) (/.f64 y x))))
(*.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 (+.f64 y (/.f64 y x)) #s(literal -1 binary64)))
(*.f64 x (+.f64 y (+.f64 #s(literal -1 binary64) (/.f64 y x))))
(*.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 (+.f64 y (/.f64 y x)) #s(literal -1 binary64)))
(*.f64 x (+.f64 y (+.f64 #s(literal -1 binary64) (/.f64 y x))))
(*.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 (+.f64 y (/.f64 y x)) #s(literal -1 binary64)))
(*.f64 x (+.f64 y (+.f64 #s(literal -1 binary64) (/.f64 y x))))
(*.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))
(*.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 #s(literal 1 binary64) (+.f64 x (/.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 #s(literal 1 binary64) (+.f64 x (/.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 #s(literal 1 binary64) (+.f64 x (/.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) 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 #s(literal 1 binary64) (+.f64 x (/.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) (+.f64 #s(literal 1 binary64) x)) (/.f64 x y))))
(*.f64 y (+.f64 #s(literal 1 binary64) (+.f64 x (/.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) (+.f64 #s(literal 1 binary64) x)) (/.f64 x y))))
(*.f64 y (+.f64 #s(literal 1 binary64) (+.f64 x (/.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))))
(fma.f64 x (+.f64 y #s(literal -1 binary64)) y)
(+.f64 y (*.f64 x (-.f64 y #s(literal 1 binary64))))
(fma.f64 x (+.f64 y #s(literal -1 binary64)) y)
(+.f64 y (*.f64 x (-.f64 y #s(literal 1 binary64))))
(fma.f64 x (+.f64 y #s(literal -1 binary64)) y)
(*.f64 x (-.f64 y #s(literal 1 binary64)))
(*.f64 x (+.f64 y #s(literal -1 binary64)))
(*.f64 x (-.f64 (+.f64 y (/.f64 y x)) #s(literal 1 binary64)))
(*.f64 x (+.f64 (+.f64 y (/.f64 y x)) #s(literal -1 binary64)))
(*.f64 x (+.f64 y (+.f64 #s(literal -1 binary64) (/.f64 y x))))
(*.f64 x (+.f64 y (+.f64 (/.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 (+.f64 #s(literal -1 binary64) (/.f64 y x))))
(*.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 (+.f64 y (/.f64 y x)) #s(literal -1 binary64)))
(*.f64 x (+.f64 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 #s(literal 1 binary64)))
(*.f64 x (+.f64 y #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (-.f64 y #s(literal 1 binary64))) (*.f64 #s(literal -1 binary64) (/.f64 y x)))))
(*.f64 x (+.f64 (+.f64 y (/.f64 y x)) #s(literal -1 binary64)))
(*.f64 x (+.f64 y (+.f64 #s(literal -1 binary64) (/.f64 y x))))
(*.f64 x (+.f64 y (+.f64 (/.f64 y x) #s(literal -1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (-.f64 y #s(literal 1 binary64))) (*.f64 #s(literal -1 binary64) (/.f64 y x)))))
(*.f64 x (+.f64 (+.f64 y (/.f64 y x)) #s(literal -1 binary64)))
(*.f64 x (+.f64 y (+.f64 #s(literal -1 binary64) (/.f64 y x))))
(*.f64 x (+.f64 y (+.f64 (/.f64 y x) #s(literal -1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (-.f64 y #s(literal 1 binary64))) (*.f64 #s(literal -1 binary64) (/.f64 y x)))))
(*.f64 x (+.f64 (+.f64 y (/.f64 y x)) #s(literal -1 binary64)))
(*.f64 x (+.f64 y (+.f64 #s(literal -1 binary64) (/.f64 y x))))
(*.f64 x (+.f64 y (+.f64 (/.f64 y x) #s(literal -1 binary64))))
(*.f64 #s(literal -1 binary64) x)
(neg.f64 x)
(+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) x)))
(fma.f64 x (+.f64 y #s(literal -1 binary64)) y)
(+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) x)))
(fma.f64 x (+.f64 y #s(literal -1 binary64)) y)
(+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) x)))
(fma.f64 x (+.f64 y #s(literal -1 binary64)) y)
(*.f64 y (+.f64 #s(literal 1 binary64) x))
(*.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 #s(literal 1 binary64) (+.f64 x (/.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 #s(literal 1 binary64) (+.f64 x (/.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 #s(literal 1 binary64) (+.f64 x (/.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))))
(*.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 #s(literal 1 binary64) (+.f64 x (/.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 #s(literal 1 binary64) (+.f64 x (/.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 #s(literal 1 binary64) (+.f64 x (/.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 (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)
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(/.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 (pow.f64 x #s(literal 2 binary64)) (*.f64 (+.f64 y #s(literal -1 binary64)) (+.f64 y #s(literal -1 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))) (fma.f64 x (+.f64 y #s(literal -1 binary64)) (neg.f64 y)))
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (+.f64 y #s(literal -1 binary64)) (+.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)) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y))) (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)

eval143.0ms (4.9%)

Compiler

Compiled 3294 to 1525 computations (53.7% saved)

prune35.0ms (1.2%)

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New1804184
Fresh000
Picked112
Done000
Total1815186
Accuracy
100.0%
Counts
186 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x)
▶58.2%
(*.f64 y (+.f64 x #s(literal 1 binary64)))
▶67.0%
(*.f64 x (-.f64 y #s(literal 1 binary64)))
▶43.9%
(neg.f64 x)
▶36.0%
y
Compiler

Compiled 30 to 21 computations (30% saved)

localize86.0ms (2.9%)

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: 12.0ms
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 ival-neg, time spent: 2.0ms, 16.0% of total-time
Operation const, 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))

rewrite67.0ms (2.3%)

Algorithm
1×batch-egg-rewrite
Rules
432×log1p-expm1-u
432×expm1-log1p-u
412×add-exp-log
396×add-log-exp
384×unpow-prod-down
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))

simplify63.0ms (2.1%)

Algorithm
1×egg-herbie
Rules
837×fmm-def
302×unsub-neg
271×associate-+r+
252×associate-+l+
249×prod-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0971004
11941004
24811004
319261004
443111004
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 (0.4%)

Compiler

Compiled 440 to 310 computations (29.5% saved)

prune7.0ms (0.3%)

Pruning

6 alts after pruning (1 fresh and 5 done)

PrunedKeptTotal
New43144
Fresh000
Picked044
Done011
Total43649
Accuracy
100.0%
Counts
49 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x)
✓58.2%
(*.f64 y (+.f64 x #s(literal 1 binary64)))
✓67.0%
(*.f64 x (-.f64 y #s(literal 1 binary64)))
▶25.2%
(*.f64 x y)
✓43.9%
(neg.f64 x)
✓36.0%
y
Compiler

Compiled 35 to 24 computations (31.4% saved)

localize28.0ms (0.9%)

Compiler

Compiled 8 to 4 computations (50% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
Operation ival-mult, time spent: 9.0ms, 98.0% of total-time
Operation const, time spent: 0.0ms, 0.0% of total-time

eval0.0ms (0%)

Compiler

Compiled 2 to 2 computations (0% saved)

prune3.0ms (0.1%)

Pruning

6 alts after pruning (0 fresh and 6 done)

PrunedKeptTotal
New000
Fresh000
Picked011
Done055
Total066
Accuracy
100.0%
Counts
6 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x)
✓58.2%
(*.f64 y (+.f64 x #s(literal 1 binary64)))
✓67.0%
(*.f64 x (-.f64 y #s(literal 1 binary64)))
✓25.2%
(*.f64 x y)
✓43.9%
(neg.f64 x)
✓36.0%
y
Compiler

Compiled 66 to 41 computations (37.9% saved)

regimes9.0ms (0.3%)

Counts
7 → 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)
Outputs
(fma.f64 x (+.f64 y #s(literal -1 binary64)) y)
Calls

3 calls:

4.0ms
(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x)
3.0ms
y
3.0ms
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)

regimes8.0ms (0.3%)

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

3 calls:

3.0ms
y
2.0ms
x
2.0ms
(-.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 (0.4%)

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

2 calls:

6.0ms
y
5.0ms
x
Results
AccuracySegmentsBranch
89.3%3x
91.1%3y
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes11.0ms (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

2 calls:

6.0ms
y
4.0ms
x
Results
AccuracySegmentsBranch
89.3%3x
70.7%2y
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes11.0ms (0.4%)

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

2 calls:

5.0ms
y
5.0ms
x
Results
AccuracySegmentsBranch
69.9%4y
73.0%8x
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0.1%)

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

1 calls:

3.0ms
y
Results
AccuracySegmentsBranch
67.7%3y
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes2.0ms (0.1%)

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
36.0%1x
36.0%1y
Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch29.0ms (1%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
17.0ms
123535111180356.16
1344924147564938800.0
12.0ms
-840768.0455475453
-194272.43903623516
Results
24.0ms216×256valid
1.0ms7×256infinite
0.0ms1×256valid
Compiler

Compiled 238 to 178 computations (25.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
Operation ival-add, time spent: 2.0ms, 40.0% of total-time
Operation ival-mult, time spent: 2.0ms, 40.0% of total-time
Operation ival-sub, time spent: 1.0ms, 20.0% of total-time
Operation const, time spent: 0.0ms, 0.0% of total-time

bsearch30.0ms (1%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
14.0ms
2.8595949803130447e-56
1.6223091655526434e-52
15.0ms
-6.74507456118635e-41
-6.244011209059344e-44
Results
25.0ms255×256valid
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-add, time spent: 2.0ms, 36.0% of total-time
Operation ival-mult, time spent: 2.0ms, 36.0% of total-time
Operation ival-sub, time spent: 1.0ms, 18.0% of total-time
Operation const, time spent: 0.0ms, 0.0% of total-time

bsearch135.0ms (4.6%)

Algorithm
3×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
104.0ms
2.0183291276868245e+76
3.2948903506317827e+80
19.0ms
6.405441468852473e-12
33.30831807536104
12.0ms
-840768.0455475453
-194272.43903623516
Results
127.0ms363×256valid
2.0ms20×256infinite
0.0ms1×256valid
Compiler

Compiled 258 to 188 computations (27.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 98.0ms
Operation ival-add, time spent: 92.0ms, 94.0% of total-time
Operation ival-mult, time spent: 3.0ms, 3.0% of total-time
Operation ival-sub, time spent: 2.0ms, 2.0% of total-time
Operation const, time spent: 1.0ms, 1.0% of total-time

bsearch31.0ms (1.1%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
20.0ms
6.405441468852473e-12
33.30831807536104
11.0ms
-840768.0455475453
-194272.43903623516
Results
27.0ms255×256valid
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

simplify9.0ms (0.3%)

Algorithm
1×egg-herbie
Rules
6×if-if-or-not
5×*-commutative
5×+-commutative
4×sub-neg
3×1-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
048284
175284
281284
386284
Stop Event
1×done
1×saturated
Calls
Call 1
Inputs
(fma.f64 x (+.f64 y #s(literal -1 binary64)) y)
(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x)
(if (<=.f64 y #s(literal -256000 binary64)) (*.f64 y (+.f64 x #s(literal 1 binary64))) (if (<=.f64 y #s(literal 125000000000000 binary64)) (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y (+.f64 x #s(literal 1 binary64)))))
(if (<=.f64 x #s(literal -6080942306155847/98079714615416886934934209737619787751599303819750539264 binary64)) (*.f64 x (-.f64 y #s(literal 1 binary64))) (if (<=.f64 x #s(literal 7117425920127769/431359146674410236714672241392314090778194310760649159697657763987456 binary64)) y (*.f64 x (-.f64 y #s(literal 1 binary64)))))
(if (<=.f64 y #s(literal -195000 binary64)) y (if (<=.f64 y #s(literal 1 binary64)) (neg.f64 x) (if (<=.f64 y #s(literal 47000000000000003175989147862951236015507382021670726105431731083697473978368 binary64)) (*.f64 x y) y)))
(if (<=.f64 y #s(literal -195000 binary64)) y (if (<=.f64 y #s(literal 6346860552976803/604462909807314587353088 binary64)) (neg.f64 x) y))
y
Outputs
(fma.f64 x (+.f64 y #s(literal -1 binary64)) y)
(-.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 -256000 binary64)) (*.f64 y (+.f64 x #s(literal 1 binary64))) (if (<=.f64 y #s(literal 125000000000000 binary64)) (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y (+.f64 x #s(literal 1 binary64)))))
(if (or (<=.f64 y #s(literal -256000 binary64)) (not (<=.f64 y #s(literal 125000000000000 binary64)))) (*.f64 y (+.f64 x #s(literal 1 binary64))) (*.f64 x (-.f64 y #s(literal 1 binary64))))
(if (or (<=.f64 y #s(literal -256000 binary64)) (not (<=.f64 y #s(literal 125000000000000 binary64)))) (*.f64 y (+.f64 x #s(literal 1 binary64))) (*.f64 x (+.f64 y #s(literal -1 binary64))))
(if (<=.f64 x #s(literal -6080942306155847/98079714615416886934934209737619787751599303819750539264 binary64)) (*.f64 x (-.f64 y #s(literal 1 binary64))) (if (<=.f64 x #s(literal 7117425920127769/431359146674410236714672241392314090778194310760649159697657763987456 binary64)) y (*.f64 x (-.f64 y #s(literal 1 binary64)))))
(if (or (<=.f64 x #s(literal -6080942306155847/98079714615416886934934209737619787751599303819750539264 binary64)) (not (<=.f64 x #s(literal 7117425920127769/431359146674410236714672241392314090778194310760649159697657763987456 binary64)))) (*.f64 x (-.f64 y #s(literal 1 binary64))) y)
(if (or (<=.f64 x #s(literal -6080942306155847/98079714615416886934934209737619787751599303819750539264 binary64)) (not (<=.f64 x #s(literal 7117425920127769/431359146674410236714672241392314090778194310760649159697657763987456 binary64)))) (*.f64 x (+.f64 y #s(literal -1 binary64))) y)
(if (<=.f64 y #s(literal -195000 binary64)) y (if (<=.f64 y #s(literal 1 binary64)) (neg.f64 x) (if (<=.f64 y #s(literal 47000000000000003175989147862951236015507382021670726105431731083697473978368 binary64)) (*.f64 x y) y)))
(if (<=.f64 y #s(literal -195000 binary64)) y (if (<=.f64 y #s(literal 6346860552976803/604462909807314587353088 binary64)) (neg.f64 x) y))
y
Compiler

Compiled 93 to 62 computations (33.3% saved)

soundness348.0ms (11.8%)

Rules
643×fmm-def
618×fma-define
591×distribute-lft-in
570×distribute-rgt-in
261×associate-+r+
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
024228
156204
2152185
3693182
41591176
52449176
62741176
72791176
03466268
19076111
227446111
Stop Event
1×node limit
1×saturated
Compiler

Compiled 106 to 47 computations (55.7% saved)

end0.0ms (0%)

preprocess77.0ms (2.6%)

Compiler

Compiled 180 to 110 computations (38.9% saved)

Profiling

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