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

Time bar (total: 2.4s)

analyze0.0ms (0%)

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

Compiled 10 to 6 computations (40% saved)

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

sample760.0ms (31.2%)

Results
545.0ms8255×0valid
0.0ms1valid
Precisions
Click to see histograms. Total time spent on operations: 358.0ms
ival-mult: 236.0ms (65.9% of total)
ival-add: 62.0ms (17.3% of total)
ival-sub: 50.0ms (14% of total)
const: 7.0ms (2% of total)
backward-pass: 3.0ms (0.8% of total)
Bogosity

preprocess91.0ms (3.7%)

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

Useful iterations: 4 (0.0ms)

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

(sort x y)

explain50.0ms (2.1%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-x
00-0-(*.f64 x y)
00-0-(+.f64 x y)
00-0-(-.f64 (+.f64 x y) (*.f64 x y))
00-0-y
Results
32.0ms512×256valid
Compiler

Compiled 45 to 17 computations (62.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-mult: 4.0ms (39.9% of total)
ival-sub: 3.0ms (29.9% of total)
ival-add: 3.0ms (29.9% of total)
const: 0.0ms (0% of total)

eval0.0ms (0%)

Compiler

Compiled 22 to 12 computations (45.5% saved)

prune1.0ms (0%)

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

Compiled 18 to 11 computations (38.9% saved)

localize40.0ms (1.7%)

Localize:

Found 2 expressions with local error:

NewAccuracyProgram
100.0%
(-.f64 (+.f64 x y) (*.f64 x y))
100.0%
(*.f64 x (-.f64 #s(literal 1 binary64) y))
Results
29.0ms256×256valid
Compiler

Compiled 36 to 16 computations (55.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 15.0ms
ival-sub: 6.0ms (40.7% of total)
ival-mult: 5.0ms (33.9% of total)
ival-add: 2.0ms (13.6% of total)
const: 1.0ms (6.8% of total)

series6.0ms (0.3%)

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

12 calls:

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

rewrite236.0ms (9.7%)

Algorithm
batch-egg-rewrite
Rules
1038×log1p-expm1-u
1038×expm1-log1p-u
549×fma-define
232×fma-neg
165×expm1-undefine
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01350
118747
2278643
Stop Event
node limit
Counts
2 → 161
Calls
Call 1
Inputs
(*.f64 x (-.f64 #s(literal 1 binary64) y))
(-.f64 (+.f64 x y) (*.f64 x y))
Outputs
(+.f64 x (*.f64 x (neg.f64 y)))
(-.f64 x (*.f64 x y))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)))) #s(literal 1 binary64))
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)))
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) y))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) x) (fma.f64 y (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) x) (+.f64 #s(literal 1 binary64) y))
(pow.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)))))
(log.f64 (*.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) y))))
(log.f64 (*.f64 (exp.f64 x) (exp.f64 (*.f64 x (neg.f64 y)))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) y))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (exp.f64 (*.f64 x (neg.f64 y)))))
(cbrt.f64 (pow.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y))))
(log1p.f64 (expm1.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y))))
(exp.f64 (log.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64)))
(fma.f64 x #s(literal 1 binary64) (*.f64 x (neg.f64 y)))
(fma.f64 #s(literal 1 binary64) x (*.f64 x (neg.f64 y)))
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 x (neg.f64 y)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (*.f64 x (neg.f64 y)))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 x (neg.f64 y)))
(+.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) x)))
(+.f64 x (*.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))
(+.f64 y (*.f64 x (-.f64 #s(literal 1 binary64) y)))
(+.f64 (+.f64 x y) (*.f64 x (neg.f64 y)))
(+.f64 (+.f64 x y) (*.f64 (*.f64 x (neg.f64 y)) #s(literal 1 binary64)))
(+.f64 (fma.f64 y (-.f64 #s(literal 1 binary64) x) x) (fma.f64 (*.f64 x (neg.f64 y)) #s(literal 1 binary64) (*.f64 x y)))
(+.f64 (fma.f64 y (-.f64 #s(literal 1 binary64) x) x) (fma.f64 (neg.f64 y) x (*.f64 x y)))
(+.f64 (fma.f64 y (-.f64 #s(literal 1 binary64) x) x) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (*.f64 x y)))
(+.f64 (*.f64 x (neg.f64 y)) (+.f64 x y))
(+.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x)) x)
(*.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 #s(literal 1 binary64) x) x))
(*.f64 (fma.f64 y (-.f64 #s(literal 1 binary64) x) x) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (fma.f64 y (-.f64 #s(literal 1 binary64) x) x)) (pow.f64 (cbrt.f64 (fma.f64 y (-.f64 #s(literal 1 binary64) x) x)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 y (-.f64 #s(literal 1 binary64) x) x)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 y (-.f64 #s(literal 1 binary64) x) x)))
(*.f64 (sqrt.f64 (fma.f64 y (-.f64 #s(literal 1 binary64) x) x)) (sqrt.f64 (fma.f64 y (-.f64 #s(literal 1 binary64) x) x)))
(*.f64 (-.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x y) (fma.f64 x y (+.f64 x y)) (pow.f64 (+.f64 x y) #s(literal 2 binary64)))))
(*.f64 (-.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x y (+.f64 x y))))
(*.f64 (+.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (*.f64 x y))) (-.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (*.f64 x y))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 x y) (fma.f64 x y (+.f64 x y)) (pow.f64 (+.f64 x y) #s(literal 2 binary64))) (-.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x y (+.f64 x y)) (-.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64))) (fma.f64 (*.f64 x y) (fma.f64 x y (+.f64 x y)) (pow.f64 (+.f64 x y) #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (fma.f64 x y (+.f64 x y)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 x y) (fma.f64 x y (+.f64 x y)) (pow.f64 (+.f64 x y) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))) (neg.f64 (fma.f64 x y (+.f64 x y))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (*.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x)) (*.f64 y (-.f64 #s(literal 1 binary64) x))) (*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) x))))))
(/.f64 (+.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)) (pow.f64 (*.f64 x (neg.f64 y)) #s(literal 3 binary64))) (+.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 x (neg.f64 y)) (*.f64 x (neg.f64 y))) (*.f64 (+.f64 x y) (*.f64 x (neg.f64 y))))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x)) (*.f64 y (-.f64 #s(literal 1 binary64) x)))) (-.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) x))))
(/.f64 (-.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) (*.f64 (*.f64 x (neg.f64 y)) (*.f64 x (neg.f64 y)))) (-.f64 (+.f64 x y) (*.f64 x (neg.f64 y))))
(pow.f64 (fma.f64 y (-.f64 #s(literal 1 binary64) x) x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 y (-.f64 #s(literal 1 binary64) x) x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 y (-.f64 #s(literal 1 binary64) x) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 y (-.f64 #s(literal 1 binary64) x) x)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 y (-.f64 #s(literal 1 binary64) x) x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 y (-.f64 #s(literal 1 binary64) x) x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 y (-.f64 #s(literal 1 binary64) x) x))))
(log.f64 (*.f64 (exp.f64 x) (/.f64 (exp.f64 y) (pow.f64 (exp.f64 x) y))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (/.f64 (exp.f64 y) (pow.f64 (exp.f64 x) y))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (exp.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x)))))
(log.f64 (*.f64 (exp.f64 y) (pow.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) y))))
(log.f64 (*.f64 (exp.f64 y) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y))))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 y)) (pow.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) y))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 y)) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y))))))
(log.f64 (*.f64 (exp.f64 (+.f64 x y)) (/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) y))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 x y))) (/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) y))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 x y))) (exp.f64 (*.f64 x (neg.f64 y)))))
(log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) y)) (exp.f64 (+.f64 x y))))
(log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) y)) (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 x y)))))
(log.f64 (*.f64 (exp.f64 (*.f64 x (neg.f64 y))) (exp.f64 (+.f64 x y))))
(log.f64 (*.f64 (exp.f64 (*.f64 x (neg.f64 y))) (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 x y)))))
(log.f64 (*.f64 (/.f64 (exp.f64 y) (pow.f64 (exp.f64 x) y)) (exp.f64 x)))
(log.f64 (*.f64 (/.f64 (exp.f64 y) (pow.f64 (exp.f64 x) y)) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(log.f64 (*.f64 (exp.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x))) (exp.f64 x)))
(log.f64 (*.f64 (exp.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(cbrt.f64 (pow.f64 (fma.f64 y (-.f64 #s(literal 1 binary64) x) x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 y (-.f64 #s(literal 1 binary64) x) x)))
(log1p.f64 (expm1.f64 (fma.f64 y (-.f64 #s(literal 1 binary64) x) x)))
(exp.f64 (log.f64 (fma.f64 y (-.f64 #s(literal 1 binary64) x) x)))
(exp.f64 (*.f64 (log.f64 (fma.f64 y (-.f64 #s(literal 1 binary64) x) x)) #s(literal 1 binary64)))
(fma.f64 x #s(literal 1 binary64) (*.f64 y (-.f64 #s(literal 1 binary64) x)))
(fma.f64 x #s(literal 1 binary64) (*.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))
(fma.f64 x (neg.f64 y) (+.f64 x y))
(fma.f64 #s(literal 1 binary64) x (*.f64 y (-.f64 #s(literal 1 binary64) x)))
(fma.f64 #s(literal 1 binary64) x (*.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) y (*.f64 x (-.f64 #s(literal 1 binary64) y)))
(fma.f64 #s(literal 1 binary64) (+.f64 x y) (*.f64 x (neg.f64 y)))
(fma.f64 #s(literal 1 binary64) (+.f64 x y) (*.f64 (*.f64 x (neg.f64 y)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 #s(literal 1 binary64) x) x) (fma.f64 (*.f64 x (neg.f64 y)) #s(literal 1 binary64) (*.f64 x y)))
(fma.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 #s(literal 1 binary64) x) x) (fma.f64 (neg.f64 y) x (*.f64 x y)))
(fma.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 #s(literal 1 binary64) x) x) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (*.f64 x y)))
(fma.f64 #s(literal 1 binary64) (*.f64 x (neg.f64 y)) (+.f64 x y))
(fma.f64 #s(literal 1 binary64) (*.f64 y (-.f64 #s(literal 1 binary64) x)) x)
(fma.f64 y #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) y)))
(fma.f64 y (neg.f64 x) (+.f64 x y))
(fma.f64 y (-.f64 #s(literal 1 binary64) x) x)
(fma.f64 (+.f64 x y) #s(literal 1 binary64) (*.f64 x (neg.f64 y)))
(fma.f64 (+.f64 x y) #s(literal 1 binary64) (*.f64 (*.f64 x (neg.f64 y)) #s(literal 1 binary64)))
(fma.f64 (fma.f64 y (-.f64 #s(literal 1 binary64) x) x) #s(literal 1 binary64) (fma.f64 (*.f64 x (neg.f64 y)) #s(literal 1 binary64) (*.f64 x y)))
(fma.f64 (fma.f64 y (-.f64 #s(literal 1 binary64) x) x) #s(literal 1 binary64) (fma.f64 (neg.f64 y) x (*.f64 x y)))
(fma.f64 (fma.f64 y (-.f64 #s(literal 1 binary64) x) x) #s(literal 1 binary64) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (*.f64 x y)))
(fma.f64 (cbrt.f64 (fma.f64 y (-.f64 #s(literal 1 binary64) x) x)) (pow.f64 (cbrt.f64 (fma.f64 y (-.f64 #s(literal 1 binary64) x) x)) #s(literal 2 binary64)) (fma.f64 (*.f64 x (neg.f64 y)) #s(literal 1 binary64) (*.f64 x y)))
(fma.f64 (cbrt.f64 (fma.f64 y (-.f64 #s(literal 1 binary64) x) x)) (pow.f64 (cbrt.f64 (fma.f64 y (-.f64 #s(literal 1 binary64) x) x)) #s(literal 2 binary64)) (fma.f64 (neg.f64 y) x (*.f64 x y)))
(fma.f64 (cbrt.f64 (fma.f64 y (-.f64 #s(literal 1 binary64) x) x)) (pow.f64 (cbrt.f64 (fma.f64 y (-.f64 #s(literal 1 binary64) x) x)) #s(literal 2 binary64)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (*.f64 x y)))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 y (-.f64 #s(literal 1 binary64) x) x)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 y (-.f64 #s(literal 1 binary64) x) x)) (fma.f64 (*.f64 x (neg.f64 y)) #s(literal 1 binary64) (*.f64 x y)))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 y (-.f64 #s(literal 1 binary64) x) x)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 y (-.f64 #s(literal 1 binary64) x) x)) (fma.f64 (neg.f64 y) x (*.f64 x y)))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 y (-.f64 #s(literal 1 binary64) x) x)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 y (-.f64 #s(literal 1 binary64) x) x)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (*.f64 x y)))
(fma.f64 (cbrt.f64 (+.f64 x y)) (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 2 binary64)) (*.f64 x (neg.f64 y)))
(fma.f64 (cbrt.f64 (+.f64 x y)) (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 2 binary64)) (*.f64 (*.f64 x (neg.f64 y)) #s(literal 1 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 2 binary64)) (cbrt.f64 (+.f64 x y)) (*.f64 x (neg.f64 y)))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 2 binary64)) (cbrt.f64 (+.f64 x y)) (*.f64 (*.f64 x (neg.f64 y)) #s(literal 1 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 (*.f64 x y))) (+.f64 x y))
(fma.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 x (-.f64 #s(literal 1 binary64) y)))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 y) (*.f64 x (-.f64 #s(literal 1 binary64) y)))
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 y (-.f64 #s(literal 1 binary64) x)))
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (*.f64 y (-.f64 #s(literal 1 binary64) x)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (*.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 (fma.f64 y (-.f64 #s(literal 1 binary64) x) x)) (sqrt.f64 (fma.f64 y (-.f64 #s(literal 1 binary64) x) x)) (fma.f64 (*.f64 x (neg.f64 y)) #s(literal 1 binary64) (*.f64 x y)))
(fma.f64 (sqrt.f64 (fma.f64 y (-.f64 #s(literal 1 binary64) x) x)) (sqrt.f64 (fma.f64 y (-.f64 #s(literal 1 binary64) x) x)) (fma.f64 (neg.f64 y) x (*.f64 x y)))
(fma.f64 (sqrt.f64 (fma.f64 y (-.f64 #s(literal 1 binary64) x) x)) (sqrt.f64 (fma.f64 y (-.f64 #s(literal 1 binary64) x) x)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (*.f64 x y)))
(fma.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (+.f64 x y)) (*.f64 x (neg.f64 y)))
(fma.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (+.f64 x y)) (*.f64 (*.f64 x (neg.f64 y)) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 (*.f64 x y)) (neg.f64 (sqrt.f64 (*.f64 x y))) (+.f64 x y))
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) (*.f64 x (-.f64 #s(literal 1 binary64) y)))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 y (-.f64 #s(literal 1 binary64) x)))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))
(fma.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64)))) (*.f64 x (neg.f64 y)))
(fma.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64)))) (*.f64 (*.f64 x (neg.f64 y)) #s(literal 1 binary64)))
(fma.f64 (-.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x y) (fma.f64 x y (+.f64 x y)) (pow.f64 (+.f64 x y) #s(literal 2 binary64)))) (fma.f64 (*.f64 x (neg.f64 y)) #s(literal 1 binary64) (*.f64 x y)))
(fma.f64 (-.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x y) (fma.f64 x y (+.f64 x y)) (pow.f64 (+.f64 x y) #s(literal 2 binary64)))) (fma.f64 (neg.f64 y) x (*.f64 x y)))
(fma.f64 (-.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x y) (fma.f64 x y (+.f64 x y)) (pow.f64 (+.f64 x y) #s(literal 2 binary64)))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (*.f64 x y)))
(fma.f64 (neg.f64 y) x (+.f64 x y))
(fma.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x y)) (*.f64 x (neg.f64 y)))
(fma.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x y)) (*.f64 (*.f64 x (neg.f64 y)) #s(literal 1 binary64)))
(fma.f64 (-.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x y (+.f64 x y))) (fma.f64 (*.f64 x (neg.f64 y)) #s(literal 1 binary64) (*.f64 x y)))
(fma.f64 (-.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x y (+.f64 x y))) (fma.f64 (neg.f64 y) x (*.f64 x y)))
(fma.f64 (-.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x y (+.f64 x y))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (*.f64 x y)))
(fma.f64 (neg.f64 x) y (+.f64 x y))
(fma.f64 (neg.f64 (sqrt.f64 (*.f64 x y))) (sqrt.f64 (*.f64 x y)) (+.f64 x y))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 x (neg.f64 y))) (cbrt.f64 (*.f64 x (neg.f64 y)))) (cbrt.f64 (*.f64 x (neg.f64 y))) (+.f64 x y))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x))) (cbrt.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x)))) (cbrt.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x))) x)
(fma.f64 (sqrt.f64 (*.f64 x (neg.f64 y))) (sqrt.f64 (*.f64 x (neg.f64 y))) (+.f64 x y))
(fma.f64 (sqrt.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x))) x)
(fma.f64 #s(literal -1 binary64) (*.f64 x y) (+.f64 x y))
(fma.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 (*.f64 x y))) (-.f64 (sqrt.f64 y) (sqrt.f64 (*.f64 x y))) x)
(fma.f64 (+.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (*.f64 x y))) (-.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (*.f64 x y))) (fma.f64 (*.f64 x (neg.f64 y)) #s(literal 1 binary64) (*.f64 x y)))
(fma.f64 (+.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (*.f64 x y))) (-.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (*.f64 x y))) (fma.f64 (neg.f64 y) x (*.f64 x y)))
(fma.f64 (+.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (*.f64 x y))) (-.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (*.f64 x y))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (*.f64 x y)))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64))) (cbrt.f64 (*.f64 x y)) (+.f64 x y))
(fma.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) y (+.f64 x y))
(fma.f64 (*.f64 (neg.f64 x) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (+.f64 x y))
(fma.f64 (*.f64 (neg.f64 x) (sqrt.f64 y)) (sqrt.f64 y) (+.f64 x y))

simplify101.0ms (4.2%)

Algorithm
egg-herbie
Rules
598×distribute-lft-in
552×distribute-rgt-in
346×times-frac
272×cancel-sign-sub-inv
270×fma-neg
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03587285
18426614
224156531
Stop Event
node limit
Counts
197 → 201
Calls
Call 1
Inputs
x
(+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 x y)))
(+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 x y)))
(+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 x y)))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 x y)))
(*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 x y)))
(*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 x y)))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 x y)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 x y)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 x y)))))
y
(+.f64 y (*.f64 x (-.f64 #s(literal 1 binary64) y)))
(+.f64 y (*.f64 x (-.f64 #s(literal 1 binary64) y)))
(+.f64 y (*.f64 x (-.f64 #s(literal 1 binary64) y)))
(*.f64 x (-.f64 #s(literal 1 binary64) y))
(*.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) y))
(*.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) y))
(*.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) y))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) y)))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) y)))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) y)))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) y)))))
x
(+.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) x)))
(+.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) x)))
(+.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) x)))
(*.f64 y (-.f64 #s(literal 1 binary64) x))
(*.f64 y (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) x))
(*.f64 y (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) x))
(*.f64 y (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) x))
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))))
(+.f64 x (*.f64 x (neg.f64 y)))
(-.f64 x (*.f64 x y))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)))) #s(literal 1 binary64))
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)))
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) y))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) x) (fma.f64 y (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) x) (+.f64 #s(literal 1 binary64) y))
(pow.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)))))
(log.f64 (*.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) y))))
(log.f64 (*.f64 (exp.f64 x) (exp.f64 (*.f64 x (neg.f64 y)))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) y))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (exp.f64 (*.f64 x (neg.f64 y)))))
(cbrt.f64 (pow.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y))))
(log1p.f64 (expm1.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y))))
(exp.f64 (log.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64)))
(fma.f64 x #s(literal 1 binary64) (*.f64 x (neg.f64 y)))
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(fma.f64 (+.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (*.f64 x y))) (-.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (*.f64 x y))) (fma.f64 (*.f64 x (neg.f64 y)) #s(literal 1 binary64) (*.f64 x y)))
(fma.f64 (+.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (*.f64 x y))) (-.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (*.f64 x y))) (fma.f64 (neg.f64 y) x (*.f64 x y)))
(fma.f64 (+.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (*.f64 x y))) (-.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (*.f64 x y))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (*.f64 x y)))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64))) (cbrt.f64 (*.f64 x y)) (+.f64 x y))
(fma.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) y (+.f64 x y))
(fma.f64 (*.f64 (neg.f64 x) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (+.f64 x y))
(fma.f64 (*.f64 (neg.f64 x) (sqrt.f64 y)) (sqrt.f64 y) (+.f64 x y))
Outputs
x
(+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 x y)))
(-.f64 x (*.f64 x y))
(*.f64 x (-.f64 #s(literal 1 binary64) y))
(+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 x y)))
(-.f64 x (*.f64 x y))
(*.f64 x (-.f64 #s(literal 1 binary64) y))
(+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 x y)))
(-.f64 x (*.f64 x y))
(*.f64 x (-.f64 #s(literal 1 binary64) y))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 x (neg.f64 y))
(*.f64 y (neg.f64 x))
(*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 x y)))
(*.f64 y (fma.f64 #s(literal -1 binary64) x (/.f64 x y)))
(*.f64 y (-.f64 (/.f64 x y) x))
(*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 x y)))
(*.f64 y (fma.f64 #s(literal -1 binary64) x (/.f64 x y)))
(*.f64 y (-.f64 (/.f64 x y) x))
(*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 x y)))
(*.f64 y (fma.f64 #s(literal -1 binary64) x (/.f64 x y)))
(*.f64 y (-.f64 (/.f64 x y) x))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 x (neg.f64 y))
(*.f64 y (neg.f64 x))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 x y)))))
(*.f64 y (fma.f64 #s(literal -1 binary64) x (/.f64 x y)))
(*.f64 y (-.f64 (/.f64 x y) x))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 x y)))))
(*.f64 y (fma.f64 #s(literal -1 binary64) x (/.f64 x y)))
(*.f64 y (-.f64 (/.f64 x y) x))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 x y)))))
(*.f64 y (fma.f64 #s(literal -1 binary64) x (/.f64 x y)))
(*.f64 y (-.f64 (/.f64 x y) x))
y
(+.f64 y (*.f64 x (-.f64 #s(literal 1 binary64) y)))
(fma.f64 x (-.f64 #s(literal 1 binary64) y) y)
(+.f64 y (*.f64 x (-.f64 #s(literal 1 binary64) y)))
(fma.f64 x (-.f64 #s(literal 1 binary64) y) y)
(+.f64 y (*.f64 x (-.f64 #s(literal 1 binary64) y)))
(fma.f64 x (-.f64 #s(literal 1 binary64) y) y)
(*.f64 x (-.f64 #s(literal 1 binary64) y))
(-.f64 x (*.f64 x y))
(*.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) y))
(*.f64 x (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 y x) y)))
(*.f64 x (+.f64 (/.f64 y x) (-.f64 #s(literal 1 binary64) y)))
(*.f64 x (+.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 y x)))
(*.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) y))
(*.f64 x (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 y x) y)))
(*.f64 x (+.f64 (/.f64 y x) (-.f64 #s(literal 1 binary64) y)))
(*.f64 x (+.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 y x)))
(*.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) y))
(*.f64 x (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 y x) y)))
(*.f64 x (+.f64 (/.f64 y x) (-.f64 #s(literal 1 binary64) y)))
(*.f64 x (+.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 y x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) y)))
(-.f64 x (*.f64 x y))
(*.f64 x (-.f64 #s(literal 1 binary64) y))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) y)))))
(*.f64 x (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 y x) y)))
(*.f64 x (+.f64 (/.f64 y x) (-.f64 #s(literal 1 binary64) y)))
(*.f64 x (+.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 y x)))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) y)))))
(*.f64 x (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 y x) y)))
(*.f64 x (+.f64 (/.f64 y x) (-.f64 #s(literal 1 binary64) y)))
(*.f64 x (+.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 y x)))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) y)))))
(*.f64 x (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 y x) y)))
(*.f64 x (+.f64 (/.f64 y x) (-.f64 #s(literal 1 binary64) y)))
(*.f64 x (+.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 y x)))
x
(+.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) x)))
(+.f64 y (*.f64 x (-.f64 #s(literal 1 binary64) y)))
(fma.f64 x (-.f64 #s(literal 1 binary64) y) y)
(+.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) x)))
(+.f64 y (*.f64 x (-.f64 #s(literal 1 binary64) y)))
(fma.f64 x (-.f64 #s(literal 1 binary64) y) y)
(+.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) x)))
(+.f64 y (*.f64 x (-.f64 #s(literal 1 binary64) y)))
(fma.f64 x (-.f64 #s(literal 1 binary64) y) y)
(*.f64 y (-.f64 #s(literal 1 binary64) x))
(*.f64 y (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) x))
(*.f64 y (-.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) x))
(*.f64 y (+.f64 (/.f64 x y) (-.f64 #s(literal 1 binary64) x)))
(*.f64 y (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) x))
(*.f64 y (-.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) x))
(*.f64 y (+.f64 (/.f64 x y) (-.f64 #s(literal 1 binary64) x)))
(*.f64 y (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) x))
(*.f64 y (-.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) x))
(*.f64 y (+.f64 (/.f64 x y) (-.f64 #s(literal 1 binary64) x)))
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))
(*.f64 y (-.f64 #s(literal 1 binary64) x))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))))
(*.f64 y (-.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) x))
(*.f64 y (+.f64 (/.f64 x y) (-.f64 #s(literal 1 binary64) x)))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))))
(*.f64 y (-.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) x))
(*.f64 y (+.f64 (/.f64 x y) (-.f64 #s(literal 1 binary64) x)))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))))
(*.f64 y (-.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) x))
(*.f64 y (+.f64 (/.f64 x y) (-.f64 #s(literal 1 binary64) x)))
(+.f64 x (*.f64 x (neg.f64 y)))
(-.f64 x (*.f64 x y))
(*.f64 x (-.f64 #s(literal 1 binary64) y))
(-.f64 x (*.f64 x y))
(*.f64 x (-.f64 #s(literal 1 binary64) y))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y))))
(+.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) #s(literal 0 binary64))
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 x (fma.f64 y (+.f64 y #s(literal 1 binary64)) #s(literal 1 binary64))))
(*.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y (+.f64 y #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) y))
(*.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) (+.f64 y #s(literal 1 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) x) (fma.f64 y (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 x (fma.f64 y (+.f64 y #s(literal 1 binary64)) #s(literal 1 binary64))))
(*.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y (+.f64 y #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) x) (+.f64 #s(literal 1 binary64) y))
(*.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) (+.f64 y #s(literal 1 binary64))))
(pow.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64))
(-.f64 x (*.f64 x y))
(*.f64 x (-.f64 #s(literal 1 binary64) y))
(pow.f64 (cbrt.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y))) #s(literal 3 binary64))
(-.f64 x (*.f64 x y))
(*.f64 x (-.f64 #s(literal 1 binary64) y))
(pow.f64 (pow.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(-.f64 x (*.f64 x y))
(*.f64 x (-.f64 #s(literal 1 binary64) y))
(pow.f64 (sqrt.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y))) #s(literal 2 binary64))
(-.f64 x (*.f64 x y))
(*.f64 x (-.f64 #s(literal 1 binary64) y))
(sqrt.f64 (pow.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)))
(-.f64 x (*.f64 x y))
(*.f64 x (-.f64 #s(literal 1 binary64) y))
(log.f64 (pow.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) y)))
(-.f64 x (*.f64 x y))
(*.f64 x (-.f64 #s(literal 1 binary64) y))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)))))
(-.f64 x (*.f64 x y))
(*.f64 x (-.f64 #s(literal 1 binary64) y))
(log.f64 (*.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) y))))
(-.f64 x (*.f64 x y))
(*.f64 x (-.f64 #s(literal 1 binary64) y))
(log.f64 (*.f64 (exp.f64 x) (exp.f64 (*.f64 x (neg.f64 y)))))
(-.f64 x (*.f64 x y))
(*.f64 x (-.f64 #s(literal 1 binary64) y))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) y))))
(-.f64 x (*.f64 x y))
(*.f64 x (-.f64 #s(literal 1 binary64) y))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (exp.f64 (*.f64 x (neg.f64 y)))))
(-.f64 x (*.f64 x y))
(*.f64 x (-.f64 #s(literal 1 binary64) y))
(cbrt.f64 (pow.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) #s(literal 3 binary64)))
(-.f64 x (*.f64 x y))
(*.f64 x (-.f64 #s(literal 1 binary64) y))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 3 binary64))))
(-.f64 x (*.f64 x y))
(*.f64 x (-.f64 #s(literal 1 binary64) y))
(cbrt.f64 (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(-.f64 x (*.f64 x y))
(*.f64 x (-.f64 #s(literal 1 binary64) y))
(expm1.f64 (log1p.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y))))
(+.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) #s(literal 0 binary64))
(log1p.f64 (expm1.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y))))
(-.f64 x (*.f64 x y))
(*.f64 x (-.f64 #s(literal 1 binary64) y))
(exp.f64 (log.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y))))
(-.f64 x (*.f64 x y))
(*.f64 x (-.f64 #s(literal 1 binary64) y))
(exp.f64 (*.f64 (log.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64)))
(-.f64 x (*.f64 x y))
(*.f64 x (-.f64 #s(literal 1 binary64) y))
(fma.f64 x #s(literal 1 binary64) (*.f64 x (neg.f64 y)))
(-.f64 x (*.f64 x y))
(*.f64 x (-.f64 #s(literal 1 binary64) y))
(fma.f64 #s(literal 1 binary64) x (*.f64 x (neg.f64 y)))
(-.f64 x (*.f64 x y))
(*.f64 x (-.f64 #s(literal 1 binary64) y))
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 x (neg.f64 y)))
(-.f64 x (*.f64 x y))
(*.f64 x (-.f64 #s(literal 1 binary64) y))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (*.f64 x (neg.f64 y)))
(-.f64 x (*.f64 x y))
(*.f64 x (-.f64 #s(literal 1 binary64) y))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 x (neg.f64 y)))
(-.f64 x (*.f64 x y))
(*.f64 x (-.f64 #s(literal 1 binary64) y))
(+.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) x)))
(+.f64 y (*.f64 x (-.f64 #s(literal 1 binary64) y)))
(fma.f64 x (-.f64 #s(literal 1 binary64) y) y)
(+.f64 x (*.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))
(+.f64 y (*.f64 x (-.f64 #s(literal 1 binary64) y)))
(fma.f64 x (-.f64 #s(literal 1 binary64) y) y)
(+.f64 y (*.f64 x (-.f64 #s(literal 1 binary64) y)))
(fma.f64 x (-.f64 #s(literal 1 binary64) y) y)
(+.f64 (+.f64 x y) (*.f64 x (neg.f64 y)))
(+.f64 y (*.f64 x (-.f64 #s(literal 1 binary64) y)))
(fma.f64 x (-.f64 #s(literal 1 binary64) y) y)
(+.f64 (+.f64 x y) (*.f64 (*.f64 x (neg.f64 y)) #s(literal 1 binary64)))
(+.f64 y (*.f64 x (-.f64 #s(literal 1 binary64) y)))
(fma.f64 x (-.f64 #s(literal 1 binary64) y) y)
(+.f64 (fma.f64 y (-.f64 #s(literal 1 binary64) x) x) (fma.f64 (*.f64 x (neg.f64 y)) #s(literal 1 binary64) (*.f64 x y)))
(+.f64 y (*.f64 x (-.f64 #s(literal 1 binary64) y)))
(fma.f64 x (-.f64 #s(literal 1 binary64) y) y)
(+.f64 (fma.f64 y (-.f64 #s(literal 1 binary64) x) x) (fma.f64 (neg.f64 y) x (*.f64 x y)))
(+.f64 y (*.f64 x (-.f64 #s(literal 1 binary64) y)))
(fma.f64 x (-.f64 #s(literal 1 binary64) y) y)
(+.f64 (fma.f64 y (-.f64 #s(literal 1 binary64) x) x) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (*.f64 x y)))
(+.f64 y (*.f64 x (-.f64 #s(literal 1 binary64) y)))
(fma.f64 x (-.f64 #s(literal 1 binary64) y) y)
(+.f64 (*.f64 x (neg.f64 y)) (+.f64 x y))
(+.f64 y (*.f64 x (-.f64 #s(literal 1 binary64) y)))
(fma.f64 x (-.f64 #s(literal 1 binary64) y) y)
(+.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x)) x)
(+.f64 y (*.f64 x (-.f64 #s(literal 1 binary64) y)))
(fma.f64 x (-.f64 #s(literal 1 binary64) y) y)
(*.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 #s(literal 1 binary64) x) x))
(+.f64 y (*.f64 x (-.f64 #s(literal 1 binary64) y)))
(fma.f64 x (-.f64 #s(literal 1 binary64) y) y)
(*.f64 (fma.f64 y (-.f64 #s(literal 1 binary64) x) x) #s(literal 1 binary64))
(+.f64 y (*.f64 x (-.f64 #s(literal 1 binary64) y)))
(fma.f64 x (-.f64 #s(literal 1 binary64) y) y)
(*.f64 (cbrt.f64 (fma.f64 y (-.f64 #s(literal 1 binary64) x) x)) (pow.f64 (cbrt.f64 (fma.f64 y (-.f64 #s(literal 1 binary64) x) x)) #s(literal 2 binary64)))
(+.f64 y (*.f64 x (-.f64 #s(literal 1 binary64) y)))
(fma.f64 x (-.f64 #s(literal 1 binary64) y) y)
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 y (-.f64 #s(literal 1 binary64) x) x)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 y (-.f64 #s(literal 1 binary64) x) x)))
(+.f64 y (*.f64 x (-.f64 #s(literal 1 binary64) y)))
(fma.f64 x (-.f64 #s(literal 1 binary64) y) y)
(*.f64 (sqrt.f64 (fma.f64 y (-.f64 #s(literal 1 binary64) x) x)) (sqrt.f64 (fma.f64 y (-.f64 #s(literal 1 binary64) x) x)))
(+.f64 y (*.f64 x (-.f64 #s(literal 1 binary64) y)))
(fma.f64 x (-.f64 #s(literal 1 binary64) y) y)
(*.f64 (-.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x y) (fma.f64 x y (+.f64 x y)) (pow.f64 (+.f64 x y) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64))) (fma.f64 (*.f64 x y) (fma.f64 x y (+.f64 x y)) (pow.f64 (+.f64 x y) #s(literal 2 binary64))))
(*.f64 (-.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x y (+.f64 x y))))
(/.f64 (-.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (fma.f64 x y (+.f64 x y)))
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(+.f64 y (*.f64 x (-.f64 #s(literal 1 binary64) y)))
(fma.f64 x (-.f64 #s(literal 1 binary64) y) y)
(fma.f64 (*.f64 (neg.f64 x) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (+.f64 x y))
(+.f64 y (*.f64 x (-.f64 #s(literal 1 binary64) y)))
(fma.f64 x (-.f64 #s(literal 1 binary64) y) y)
(fma.f64 (*.f64 (neg.f64 x) (sqrt.f64 y)) (sqrt.f64 y) (+.f64 x y))
(+.f64 y (*.f64 x (-.f64 #s(literal 1 binary64) y)))
(fma.f64 x (-.f64 #s(literal 1 binary64) y) y)

eval41.0ms (1.7%)

Compiler

Compiled 2925 to 1300 computations (55.6% saved)

prune289.0ms (11.9%)

Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New1974201
Fresh000
Picked022
Done000
Total1976203
Accuracy
100.0%
Counts
203 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(-.f64 (+.f64 x y) (*.f64 x y))
63.2%
(+.f64 y (*.f64 y (neg.f64 x)))
100.0%
(+.f64 y (*.f64 x (-.f64 #s(literal 1 binary64) y)))
77.1%
(+.f64 y x)
63.2%
(*.f64 y (-.f64 #s(literal 1 binary64) x))
41.9%
y
Compiler

Compiled 41 to 26 computations (36.6% saved)

localize53.0ms (2.2%)

Localize:

Found 1 expressions with local error:

NewAccuracyProgram
100.0%
(*.f64 y (-.f64 #s(literal 1 binary64) x))
Results
42.0ms256×256valid
Compiler

Compiled 34 to 13 computations (61.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 27.0ms
ival-mult: 17.0ms (63.3% of total)
ival-sub: 6.0ms (22.3% of total)
ival-add: 3.0ms (11.2% of total)
const: 1.0ms (3.7% of total)
ival-neg: 1.0ms (3.7% of total)

series3.0ms (0.1%)

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

6 calls:

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

rewrite68.0ms (2.8%)

Algorithm
batch-egg-rewrite
Rules
452×log1p-expm1-u
452×expm1-log1p-u
433×add-exp-log
416×add-log-exp
386×pow1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01019
110319
2121319
Stop Event
node limit
Counts
1 → 37
Calls
Call 1
Inputs
(*.f64 y (-.f64 #s(literal 1 binary64) x))
Outputs
(+.f64 y (*.f64 y (neg.f64 x)))
(+.f64 y (*.f64 (neg.f64 x) y))
(+.f64 #s(literal 0 binary64) (*.f64 y (-.f64 #s(literal 1 binary64) x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (-.f64 #s(literal 1 binary64) x)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (-.f64 #s(literal 1 binary64) x)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (-.f64 #s(literal 1 binary64) x)))))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))
(/.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
(/.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) y) (fma.f64 x (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) y) (+.f64 #s(literal 1 binary64) x))
(pow.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))
(pow.f64 (E.f64) (log.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x))))) (sqrt.f64 (log.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x)))))
(sqrt.f64 (pow.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 y) (-.f64 #s(literal 1 binary64) x)))
(cbrt.f64 (pow.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x))))
(log1p.f64 (expm1.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x))))
(exp.f64 (log.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x)))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x)))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)))
(fma.f64 y #s(literal 1 binary64) (*.f64 y (neg.f64 x)))
(fma.f64 y #s(literal 1 binary64) (*.f64 (neg.f64 x) y))
(fma.f64 #s(literal 1 binary64) y (*.f64 y (neg.f64 x)))
(fma.f64 #s(literal 1 binary64) y (*.f64 (neg.f64 x) y))
(fma.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 y (neg.f64 x)))
(fma.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (neg.f64 x) y))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 y) (*.f64 y (neg.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 y) (*.f64 (neg.f64 x) y))
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) (*.f64 y (neg.f64 x)))
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) (*.f64 (neg.f64 x) y))

simplify85.0ms (3.5%)

Algorithm
egg-herbie
Rules
388×unsub-neg
326×exp-prod
310×associate-+l+
299×associate-+r+
298×*-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01101336
12251184
24831184
320321184
455511184
Stop Event
node limit
Counts
49 → 49
Calls
Call 1
Inputs
y
(+.f64 y (*.f64 #s(literal -1 binary64) (*.f64 x y)))
(+.f64 y (*.f64 #s(literal -1 binary64) (*.f64 x y)))
(+.f64 y (*.f64 #s(literal -1 binary64) (*.f64 x y)))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 y x)))
(*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 y x)))
(*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 y x)))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 y x)))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 y x)))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 y x)))))
(+.f64 y (*.f64 y (neg.f64 x)))
(+.f64 y (*.f64 (neg.f64 x) y))
(+.f64 #s(literal 0 binary64) (*.f64 y (-.f64 #s(literal 1 binary64) x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (-.f64 #s(literal 1 binary64) x)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (-.f64 #s(literal 1 binary64) x)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (-.f64 #s(literal 1 binary64) x)))))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))
(/.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
(/.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) y) (fma.f64 x (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) y) (+.f64 #s(literal 1 binary64) x))
(pow.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))
(pow.f64 (E.f64) (log.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x))))) (sqrt.f64 (log.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x)))))
(sqrt.f64 (pow.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 y) (-.f64 #s(literal 1 binary64) x)))
(cbrt.f64 (pow.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x))))
(log1p.f64 (expm1.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x))))
(exp.f64 (log.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x)))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x)))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)))
(fma.f64 y #s(literal 1 binary64) (*.f64 y (neg.f64 x)))
(fma.f64 y #s(literal 1 binary64) (*.f64 (neg.f64 x) y))
(fma.f64 #s(literal 1 binary64) y (*.f64 y (neg.f64 x)))
(fma.f64 #s(literal 1 binary64) y (*.f64 (neg.f64 x) y))
(fma.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 y (neg.f64 x)))
(fma.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (neg.f64 x) y))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 y) (*.f64 y (neg.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 y) (*.f64 (neg.f64 x) y))
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) (*.f64 y (neg.f64 x)))
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) (*.f64 (neg.f64 x) y))
Outputs
y
(+.f64 y (*.f64 #s(literal -1 binary64) (*.f64 x y)))
(*.f64 (+.f64 (neg.f64 x) #s(literal 1 binary64)) y)
(*.f64 y (-.f64 #s(literal 1 binary64) x))
(+.f64 y (*.f64 #s(literal -1 binary64) (*.f64 x y)))
(*.f64 (+.f64 (neg.f64 x) #s(literal 1 binary64)) y)
(*.f64 y (-.f64 #s(literal 1 binary64) x))
(+.f64 y (*.f64 #s(literal -1 binary64) (*.f64 x y)))
(*.f64 (+.f64 (neg.f64 x) #s(literal 1 binary64)) y)
(*.f64 y (-.f64 #s(literal 1 binary64) x))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 y (neg.f64 x))
(*.f64 x (neg.f64 y))
(*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 y x)))
(*.f64 (+.f64 (neg.f64 x) #s(literal 1 binary64)) y)
(*.f64 y (-.f64 #s(literal 1 binary64) x))
(*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 y x)))
(*.f64 (+.f64 (neg.f64 x) #s(literal 1 binary64)) y)
(*.f64 y (-.f64 #s(literal 1 binary64) x))
(*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 y x)))
(*.f64 (+.f64 (neg.f64 x) #s(literal 1 binary64)) y)
(*.f64 y (-.f64 #s(literal 1 binary64) x))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 y (neg.f64 x))
(*.f64 x (neg.f64 y))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 y x)))))
(*.f64 (+.f64 (neg.f64 x) #s(literal 1 binary64)) y)
(*.f64 y (-.f64 #s(literal 1 binary64) x))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 y x)))))
(*.f64 (+.f64 (neg.f64 x) #s(literal 1 binary64)) y)
(*.f64 y (-.f64 #s(literal 1 binary64) x))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 y x)))))
(*.f64 (+.f64 (neg.f64 x) #s(literal 1 binary64)) y)
(*.f64 y (-.f64 #s(literal 1 binary64) x))
(+.f64 y (*.f64 y (neg.f64 x)))
(*.f64 (+.f64 (neg.f64 x) #s(literal 1 binary64)) y)
(*.f64 y (-.f64 #s(literal 1 binary64) x))
(+.f64 y (*.f64 (neg.f64 x) y))
(*.f64 (+.f64 (neg.f64 x) #s(literal 1 binary64)) y)
(*.f64 y (-.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal 0 binary64) (*.f64 y (-.f64 #s(literal 1 binary64) x)))
(*.f64 (+.f64 (neg.f64 x) #s(literal 1 binary64)) y)
(*.f64 y (-.f64 #s(literal 1 binary64) x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (-.f64 #s(literal 1 binary64) x)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (-.f64 #s(literal 1 binary64) x)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (-.f64 #s(literal 1 binary64) x)))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (-.f64 #s(literal 1 binary64) x)))))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))
(*.f64 (+.f64 (neg.f64 x) #s(literal 1 binary64)) y)
(*.f64 y (-.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
(*.f64 y (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) x))
(*.f64 y (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (+.f64 x #s(literal 1 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) y) (fma.f64 x (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
(*.f64 y (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) y) (+.f64 #s(literal 1 binary64) x))
(*.f64 y (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (+.f64 x #s(literal 1 binary64))))
(pow.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(*.f64 (+.f64 (neg.f64 x) #s(literal 1 binary64)) y)
(*.f64 y (-.f64 #s(literal 1 binary64) x))
(pow.f64 (cbrt.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))
(*.f64 (+.f64 (neg.f64 x) #s(literal 1 binary64)) y)
(*.f64 y (-.f64 #s(literal 1 binary64) x))
(pow.f64 (pow.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(*.f64 (+.f64 (neg.f64 x) #s(literal 1 binary64)) y)
(*.f64 y (-.f64 #s(literal 1 binary64) x))
(pow.f64 (pow.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 (+.f64 (neg.f64 x) #s(literal 1 binary64)) y)
(*.f64 y (-.f64 #s(literal 1 binary64) x))
(pow.f64 (sqrt.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))
(*.f64 (+.f64 (neg.f64 x) #s(literal 1 binary64)) y)
(*.f64 y (-.f64 #s(literal 1 binary64) x))
(pow.f64 (E.f64) (log.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x))))
(*.f64 (+.f64 (neg.f64 x) #s(literal 1 binary64)) y)
(*.f64 y (-.f64 #s(literal 1 binary64) x))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x))))) (sqrt.f64 (log.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x)))))
(sqrt.f64 (pow.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))
(*.f64 (+.f64 (neg.f64 x) #s(literal 1 binary64)) y)
(*.f64 y (-.f64 #s(literal 1 binary64) x))
(log.f64 (pow.f64 (exp.f64 y) (-.f64 #s(literal 1 binary64) x)))
(*.f64 (+.f64 (neg.f64 x) #s(literal 1 binary64)) y)
(*.f64 y (-.f64 #s(literal 1 binary64) x))
(cbrt.f64 (pow.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))
(*.f64 (+.f64 (neg.f64 x) #s(literal 1 binary64)) y)
(*.f64 y (-.f64 #s(literal 1 binary64) x))
(expm1.f64 (log1p.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x))))
(*.f64 (+.f64 (neg.f64 x) #s(literal 1 binary64)) y)
(*.f64 y (-.f64 #s(literal 1 binary64) x))
(log1p.f64 (expm1.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x))))
(*.f64 (+.f64 (neg.f64 x) #s(literal 1 binary64)) y)
(*.f64 y (-.f64 #s(literal 1 binary64) x))
(exp.f64 (log.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x))))
(*.f64 (+.f64 (neg.f64 x) #s(literal 1 binary64)) y)
(*.f64 y (-.f64 #s(literal 1 binary64) x))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x)))) #s(literal 3 binary64)))
(*.f64 (+.f64 (neg.f64 x) #s(literal 1 binary64)) y)
(*.f64 y (-.f64 #s(literal 1 binary64) x))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x)))) #s(literal 1/3 binary64)))
(*.f64 (+.f64 (neg.f64 x) #s(literal 1 binary64)) y)
(*.f64 y (-.f64 #s(literal 1 binary64) x))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)))
(*.f64 (+.f64 (neg.f64 x) #s(literal 1 binary64)) y)
(*.f64 y (-.f64 #s(literal 1 binary64) x))
(fma.f64 y #s(literal 1 binary64) (*.f64 y (neg.f64 x)))
(*.f64 (+.f64 (neg.f64 x) #s(literal 1 binary64)) y)
(*.f64 y (-.f64 #s(literal 1 binary64) x))
(fma.f64 y #s(literal 1 binary64) (*.f64 (neg.f64 x) y))
(*.f64 (+.f64 (neg.f64 x) #s(literal 1 binary64)) y)
(*.f64 y (-.f64 #s(literal 1 binary64) x))
(fma.f64 #s(literal 1 binary64) y (*.f64 y (neg.f64 x)))
(*.f64 (+.f64 (neg.f64 x) #s(literal 1 binary64)) y)
(*.f64 y (-.f64 #s(literal 1 binary64) x))
(fma.f64 #s(literal 1 binary64) y (*.f64 (neg.f64 x) y))
(*.f64 (+.f64 (neg.f64 x) #s(literal 1 binary64)) y)
(*.f64 y (-.f64 #s(literal 1 binary64) x))
(fma.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 y (neg.f64 x)))
(*.f64 (+.f64 (neg.f64 x) #s(literal 1 binary64)) y)
(*.f64 y (-.f64 #s(literal 1 binary64) x))
(fma.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (neg.f64 x) y))
(*.f64 (+.f64 (neg.f64 x) #s(literal 1 binary64)) y)
(*.f64 y (-.f64 #s(literal 1 binary64) x))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 y) (*.f64 y (neg.f64 x)))
(*.f64 (+.f64 (neg.f64 x) #s(literal 1 binary64)) y)
(*.f64 y (-.f64 #s(literal 1 binary64) x))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 y) (*.f64 (neg.f64 x) y))
(*.f64 (+.f64 (neg.f64 x) #s(literal 1 binary64)) y)
(*.f64 y (-.f64 #s(literal 1 binary64) x))
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) (*.f64 y (neg.f64 x)))
(*.f64 (+.f64 (neg.f64 x) #s(literal 1 binary64)) y)
(*.f64 y (-.f64 #s(literal 1 binary64) x))
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) (*.f64 (neg.f64 x) y))
(*.f64 (+.f64 (neg.f64 x) #s(literal 1 binary64)) y)
(*.f64 y (-.f64 #s(literal 1 binary64) x))

eval11.0ms (0.5%)

Compiler

Compiled 451 to 273 computations (39.5% saved)

prune8.0ms (0.3%)

Pruning

7 alts after pruning (1 fresh and 6 done)

PrunedKeptTotal
New48149
Fresh000
Picked044
Done022
Total48755
Accuracy
100.0%
Counts
55 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(-.f64 (+.f64 x y) (*.f64 x y))
63.2%
(+.f64 y (*.f64 y (neg.f64 x)))
100.0%
(+.f64 y (*.f64 x (-.f64 #s(literal 1 binary64) y)))
77.1%
(+.f64 y x)
63.2%
(*.f64 y (-.f64 #s(literal 1 binary64) x))
24.0%
(*.f64 y (neg.f64 x))
41.9%
y
Compiler

Compiled 47 to 30 computations (36.2% saved)

localize18.0ms (0.8%)

Results
14.0ms256×256valid
Compiler

Compiled 11 to 5 computations (54.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-mult: 2.0ms (56.1% of total)
ival-neg: 1.0ms (28% of total)
const: 0.0ms (0% of total)

eval0.0ms (0%)

Compiler

Compiled 2 to 2 computations (0% saved)

prune6.0ms (0.2%)

Pruning

7 alts after pruning (0 fresh and 7 done)

PrunedKeptTotal
New000
Fresh000
Picked011
Done066
Total077
Accuracy
100.0%
Counts
7 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(-.f64 (+.f64 x y) (*.f64 x y))
63.2%
(+.f64 y (*.f64 y (neg.f64 x)))
100.0%
(+.f64 y (*.f64 x (-.f64 #s(literal 1 binary64) y)))
77.1%
(+.f64 y x)
63.2%
(*.f64 y (-.f64 #s(literal 1 binary64) x))
24.0%
(*.f64 y (neg.f64 x))
41.9%
y
Compiler

Compiled 82 to 46 computations (43.9% saved)

regimes8.0ms (0.3%)

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

3 calls:

3.0ms
x
2.0ms
y
2.0ms
(-.f64 (+.f64 x y) (*.f64 x y))
Results
AccuracySegmentsBranch
100.0%1x
100.0%1y
100.0%1(-.f64 (+.f64 x y) (*.f64 x y))
Compiler

Compiled 15 to 9 computations (40% saved)

regimes15.0ms (0.6%)

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

2 calls:

9.0ms
y
6.0ms
x
Results
AccuracySegmentsBranch
87.7%5x
98.2%3y
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes5.0ms (0.2%)

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

1 calls:

4.0ms
y
Results
AccuracySegmentsBranch
98.2%3y
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes9.0ms (0.4%)

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

2 calls:

6.0ms
y
3.0ms
x
Results
AccuracySegmentsBranch
85.2%3x
84.7%4y
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0.1%)

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

2 calls:

1.0ms
x
1.0ms
y
Results
AccuracySegmentsBranch
77.1%1y
77.1%1x
Compiler

Compiled 6 to 4 computations (33.3% saved)

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:

2.0ms
x
0.0ms
y
Results
AccuracySegmentsBranch
41.9%1y
41.9%1x
Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch23.0ms (0.9%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
11.0ms
6.655565714829733e-8
243.02811610941674
10.0ms
-15.021873567177295
-0.0010157481114823508
Results
13.0ms272×0valid
Compiler

Compiled 253 to 171 computations (32.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-add: 2.0ms (34.8% of total)
ival-mult: 2.0ms (34.8% of total)
ival-sub: 1.0ms (17.4% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch63.0ms (2.6%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
11.0ms
6.655565714829733e-8
243.02811610941674
51.0ms
-15.021873567177295
-0.0010157481114823508
Results
12.0ms272×0valid
Compiler

Compiled 244 to 171 computations (29.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-add: 2.0ms (36.4% of total)
ival-mult: 2.0ms (36.4% of total)
ival-sub: 1.0ms (18.2% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch25.0ms (1%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
16.0ms
1.552029331895791e-11
8259673.297618314
7.0ms
-4.4459399527083825e+274
-3.936256904725969e+273
Results
16.0ms256×0valid
Compiler

Compiled 222 to 153 computations (31.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-add: 2.0ms (38.6% of total)
ival-mult: 2.0ms (38.6% of total)
ival-sub: 1.0ms (19.3% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

simplify6.0ms (0.2%)

Algorithm
egg-herbie
Rules
+-commutative
*-commutative
sub-neg
1-exp
neg-sub0
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
034259
158255
270255
376255
478255
Stop Event
saturated
Calls
Call 1
Inputs
(+.f64 y (*.f64 x (-.f64 #s(literal 1 binary64) y)))
(if (<=.f64 y #s(literal -15 binary64)) (*.f64 y (neg.f64 x)) (if (<=.f64 y #s(literal 1 binary64)) (+.f64 y x) (+.f64 y (*.f64 y (neg.f64 x)))))
(if (<=.f64 y #s(literal -15 binary64)) (*.f64 y (neg.f64 x)) (if (<=.f64 y #s(literal 1 binary64)) (+.f64 y x) (*.f64 y (-.f64 #s(literal 1 binary64) x))))
(if (<=.f64 x #s(literal -30999999999999998908073938898748939819640888441359271338051688638557562455762288959770632056979470304913031312713221041733575719701736243682362921056617030201754550778195879329749359830368399213253765989629866742627829490882892453236512012204479809139929203593213976852299776 binary64)) (*.f64 y (neg.f64 x)) (if (<=.f64 x #s(literal 8200000 binary64)) (+.f64 y x) (*.f64 y (neg.f64 x))))
(+.f64 y x)
y
Outputs
(+.f64 y (*.f64 x (-.f64 #s(literal 1 binary64) y)))
(if (<=.f64 y #s(literal -15 binary64)) (*.f64 y (neg.f64 x)) (if (<=.f64 y #s(literal 1 binary64)) (+.f64 y x) (+.f64 y (*.f64 y (neg.f64 x)))))
(if (<=.f64 y #s(literal -15 binary64)) (*.f64 y (neg.f64 x)) (if (<=.f64 y #s(literal 1 binary64)) (+.f64 y x) (-.f64 y (*.f64 y x))))
(if (<=.f64 y #s(literal -15 binary64)) (*.f64 y (neg.f64 x)) (if (<=.f64 y #s(literal 1 binary64)) (+.f64 y x) (*.f64 y (-.f64 #s(literal 1 binary64) x))))
(if (<=.f64 x #s(literal -30999999999999998908073938898748939819640888441359271338051688638557562455762288959770632056979470304913031312713221041733575719701736243682362921056617030201754550778195879329749359830368399213253765989629866742627829490882892453236512012204479809139929203593213976852299776 binary64)) (*.f64 y (neg.f64 x)) (if (<=.f64 x #s(literal 8200000 binary64)) (+.f64 y x) (*.f64 y (neg.f64 x))))
(if (or (<=.f64 x #s(literal -30999999999999998908073938898748939819640888441359271338051688638557562455762288959770632056979470304913031312713221041733575719701736243682362921056617030201754550778195879329749359830368399213253765989629866742627829490882892453236512012204479809139929203593213976852299776 binary64)) (not (<=.f64 x #s(literal 8200000 binary64)))) (*.f64 y (neg.f64 x)) (+.f64 y x))
(+.f64 y x)
y

soundness360.0ms (14.7%)

Rules
639×fma-neg
598×distribute-lft-in
552×distribute-rgt-in
535×fma-define
388×unsub-neg
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
03587285
18426614
224156531
024241
168217
2180191
3548174
41346168
52190168
62435168
72442168
01101336
12251184
24831184
320321184
455511184
Stop Event
done
node limit
saturated
node limit
Compiler

Compiled 260 to 120 computations (53.8% saved)

preprocess51.0ms (2.1%)

Compiler

Compiled 228 to 124 computations (45.6% saved)

end0.0ms (0%)

Profiling

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