Statistics.Distribution.Binomial:$cvariance from math-functions-0.1.5.2

Time bar (total: 3.6s)

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
ival-sub: 0.0ms (0% of total)
ival-mult: 0.0ms (0% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

sample1.3s (35.5%)

Results
992.0ms8256×0valid
Precisions
Click to see histograms. Total time spent on operations: 333.0ms
ival-sub: 177.0ms (53.2% of total)
ival-mult: 141.0ms (42.4% of total)
const: 12.0ms (3.6% of total)
backward-pass: 3.0ms (0.9% of total)
Bogosity

preprocess174.0ms (4.8%)

Algorithm
1×egg-herbie
Rules
407×fma-neg
339×unsub-neg
333×fma-define
218×distribute-lft-in
147×distribute-rgt-in
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
024220
169204
2234196
3802195
41698195
52449195
62693195
72694195
82694195
Stop Event
1×saturated
Calls
Call 1
Inputs
(*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y))
(*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y))
(*.f64 (*.f64 (neg.f64 x) y) (-.f64 #s(literal 1 binary64) y))
(*.f64 (*.f64 x (neg.f64 y)) (-.f64 #s(literal 1 binary64) (neg.f64 y)))
(neg.f64 (*.f64 (*.f64 (neg.f64 x) y) (-.f64 #s(literal 1 binary64) y)))
(neg.f64 (*.f64 (*.f64 x (neg.f64 y)) (-.f64 #s(literal 1 binary64) (neg.f64 y))))
(*.f64 (*.f64 y x) (-.f64 #s(literal 1 binary64) x))
Outputs
(*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y))
(*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y)))
(*.f64 y (*.f64 x (-.f64 #s(literal 1 binary64) y)))
(*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y))
(*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y)))
(*.f64 y (*.f64 x (-.f64 #s(literal 1 binary64) y)))
(*.f64 (*.f64 (neg.f64 x) y) (-.f64 #s(literal 1 binary64) y))
(*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 x (neg.f64 y)))
(*.f64 x (*.f64 (neg.f64 y) (-.f64 #s(literal 1 binary64) y)))
(*.f64 x (*.f64 y (+.f64 y #s(literal -1 binary64))))
(*.f64 (*.f64 x (neg.f64 y)) (-.f64 #s(literal 1 binary64) (neg.f64 y)))
(*.f64 x (*.f64 (neg.f64 y) (-.f64 #s(literal 1 binary64) (neg.f64 y))))
(*.f64 (*.f64 x (neg.f64 y)) (+.f64 y #s(literal 1 binary64)))
(*.f64 x (*.f64 y (-.f64 #s(literal -1 binary64) y)))
(neg.f64 (*.f64 (*.f64 (neg.f64 x) y) (-.f64 #s(literal 1 binary64) y)))
(*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y)))
(*.f64 y (*.f64 x (-.f64 #s(literal 1 binary64) y)))
(neg.f64 (*.f64 (*.f64 x (neg.f64 y)) (-.f64 #s(literal 1 binary64) (neg.f64 y))))
(*.f64 (*.f64 x (neg.f64 y)) (neg.f64 (-.f64 #s(literal 1 binary64) (neg.f64 y))))
(*.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))
(*.f64 x (*.f64 y (+.f64 y #s(literal 1 binary64))))
(*.f64 x (fma.f64 y y y))
(*.f64 (*.f64 y x) (-.f64 #s(literal 1 binary64) x))
(*.f64 y (*.f64 x (-.f64 #s(literal 1 binary64) x)))
(*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) x)))
Symmetry

(negabs x)

explain59.0ms (1.6%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(*.f64 x y)
00-0-x
00-0-#s(literal 1 binary64)
00-0-y
00-0-(*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y))
00-0-(-.f64 #s(literal 1 binary64) y)
Results
38.0ms512×0valid
Compiler

Compiled 47 to 26 computations (44.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 15.0ms
ival-mult: 8.0ms (53.9% of total)
ival-sub: 5.0ms (33.7% of total)
const: 1.0ms (6.7% of total)
backward-pass: 0.0ms (0% of total)

eval0.0ms (0%)

Compiler

Compiled 16 to 10 computations (37.5% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.9%
(*.f64 y (*.f64 x (-.f64 #s(literal 1 binary64) y)))
▶91.9%
(*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y)))
Compiler

Compiled 18 to 12 computations (33.3% saved)

localize54.0ms (1.5%)

Localize:

Found 4 expressions with local error:

NewAccuracyProgram
✓100.0%
(*.f64 x (-.f64 #s(literal 1 binary64) y))
✓99.9%
(*.f64 y (*.f64 x (-.f64 #s(literal 1 binary64) y)))
✓100.0%
(*.f64 y (-.f64 #s(literal 1 binary64) y))
✓91.9%
(*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y)))
Results
38.0ms256×0valid
Compiler

Compiled 39 to 23 computations (41% saved)

Precisions
Click to see histograms. Total time spent on operations: 22.0ms
ival-mult: 11.0ms (50.8% of total)
ival-sub: 10.0ms (46.2% of total)
const: 1.0ms (4.6% of total)
backward-pass: 0.0ms (0% of total)

series12.0ms (0.3%)

Counts
4 → 60
Calls
Call 1
Inputs
#<alt (*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y)))>
#<alt (*.f64 y (-.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))>
Outputs
#<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 #s(literal -1 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 x y)))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 x y)))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 x y)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 x y)))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 x y)))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 x y)))>
#<alt y>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) y)))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) y)))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) y)))>
#<alt (*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)))>
#<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 #s(literal -1 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 x y)))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 x y)))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 x y)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 x y)))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 x y)))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 x y)))>
#<alt (*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y)))>
#<alt (*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y)))>
#<alt (*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y)))>
#<alt (*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y)))>
#<alt (*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y)))>
#<alt (*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y)))>
#<alt (*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y)))>
#<alt (*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y)))>
#<alt (*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y)))>
#<alt (*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y)))>
#<alt (*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y)))>
#<alt (*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y)))>
#<alt x>
#<alt (+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 x y)))>
#<alt (+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 x y)))>
#<alt (+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 x y)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))>
#<alt (*.f64 y (+.f64 (*.f64 #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)))))>
Calls

21 calls:

TimeVariablePointExpression
2.0ms
y
@0
(* x (- 1 y))
1.0ms
y
@-inf
(* y (- 1 y))
1.0ms
x
@0
(* x (* y (- 1 y)))
1.0ms
y
@0
(* x (* y (- 1 y)))
1.0ms
y
@-inf
(* x (* y (- 1 y)))

rewrite248.0ms (6.8%)

Algorithm
1×batch-egg-rewrite
Rules
737×unpow-prod-down
704×log1p-expm1-u
704×expm1-log1p-u
411×log-prod
186×pow-unpow
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01394
116794
2215694
Stop Event
1×node limit
Counts
4 → 148
Calls
Call 1
Inputs
(*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y)))
(*.f64 y (-.f64 #s(literal 1 binary64) y))
(*.f64 y (*.f64 x (-.f64 #s(literal 1 binary64) y)))
(*.f64 x (-.f64 #s(literal 1 binary64) y))
Outputs
(+.f64 #s(literal 0 binary64) (*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y))))
(+.f64 (*.f64 x y) (*.f64 (neg.f64 y) (*.f64 x y)))
(+.f64 (*.f64 (*.f64 x y) #s(literal 1 binary64)) (*.f64 (*.f64 x y) (neg.f64 y)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 #s(literal 1 binary64) y)) (*.f64 x y))) (cbrt.f64 (pow.f64 (exp.f64 (-.f64 #s(literal 1 binary64) y)) (*.f64 x y))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 #s(literal 1 binary64) y)) (*.f64 x y)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 #s(literal 1 binary64) y)) (*.f64 x y)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 #s(literal 1 binary64) y)) (*.f64 x y)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y))))) #s(literal 1 binary64))
(/.f64 (*.f64 (*.f64 x y) (-.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 x y) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))) (+.f64 y #s(literal 1 binary64)))
(pow.f64 (*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (-.f64 #s(literal 1 binary64) y)) (*.f64 x y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y))))))
(cbrt.f64 (pow.f64 (*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y)))))
(log1p.f64 (expm1.f64 (*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y)))))
(exp.f64 (log.f64 (*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y)))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y)))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y))))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y))) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y))))) #s(literal 2 binary64)))
(fma.f64 x y (*.f64 (neg.f64 y) (*.f64 x y)))
(fma.f64 y x (*.f64 (neg.f64 y) (*.f64 x y)))
(fma.f64 #s(literal 1 binary64) (*.f64 x y) (*.f64 (neg.f64 y) (*.f64 x y)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) y) (*.f64 (neg.f64 y) (*.f64 x y)))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) x) (*.f64 (neg.f64 y) (*.f64 x y)))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) y) (*.f64 (neg.f64 y) (*.f64 x y)))
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) x) (*.f64 (neg.f64 y) (*.f64 x y)))
(fma.f64 (*.f64 x y) #s(literal 1 binary64) (*.f64 (*.f64 x y) (neg.f64 y)))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 x y)) (cbrt.f64 (*.f64 x y))) (cbrt.f64 (*.f64 x y)) (*.f64 (neg.f64 y) (*.f64 x y)))
(fma.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (*.f64 x y)) (*.f64 (neg.f64 y) (*.f64 x y)))
(fma.f64 (*.f64 (sqrt.f64 y) (sqrt.f64 x)) (*.f64 (sqrt.f64 y) (sqrt.f64 x)) (*.f64 (neg.f64 y) (*.f64 x y)))
(fma.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 y)) (*.f64 (sqrt.f64 x) (sqrt.f64 y)) (*.f64 (neg.f64 y) (*.f64 x y)))
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (*.f64 (neg.f64 y) (*.f64 x y)))
(fma.f64 (*.f64 y (sqrt.f64 x)) (sqrt.f64 x) (*.f64 (neg.f64 y) (*.f64 x y)))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (*.f64 (neg.f64 y) (*.f64 x y)))
(fma.f64 (*.f64 x (sqrt.f64 y)) (sqrt.f64 y) (*.f64 (neg.f64 y) (*.f64 x y)))
(+.f64 y (neg.f64 (pow.f64 y #s(literal 2 binary64))))
(+.f64 y (*.f64 y (neg.f64 y)))
(+.f64 #s(literal 0 binary64) (*.f64 y (-.f64 #s(literal 1 binary64) y)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (-.f64 #s(literal 1 binary64) y))) (cbrt.f64 (pow.f64 (exp.f64 y) (-.f64 #s(literal 1 binary64) y))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (-.f64 #s(literal 1 binary64) y)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (-.f64 #s(literal 1 binary64) y)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (-.f64 #s(literal 1 binary64) y)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (-.f64 #s(literal 1 binary64) y)))) #s(literal 1 binary64))
(/.f64 (*.f64 y (-.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 y (-.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))) y) (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))) y) (+.f64 y #s(literal 1 binary64)))
(pow.f64 (*.f64 y (-.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 y (-.f64 #s(literal 1 binary64) y))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y (-.f64 #s(literal 1 binary64) y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 y (-.f64 #s(literal 1 binary64) y))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 y (-.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 y) (-.f64 #s(literal 1 binary64) y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (-.f64 #s(literal 1 binary64) y)))))
(cbrt.f64 (pow.f64 (*.f64 y (-.f64 #s(literal 1 binary64) y)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 y (-.f64 #s(literal 1 binary64) y))))
(log1p.f64 (expm1.f64 (*.f64 y (-.f64 #s(literal 1 binary64) y))))
(exp.f64 (log.f64 (*.f64 y (-.f64 #s(literal 1 binary64) y))))
(exp.f64 (*.f64 (log.f64 (*.f64 y (-.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 y (-.f64 #s(literal 1 binary64) y)))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 y (-.f64 #s(literal 1 binary64) y)) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 y (-.f64 #s(literal 1 binary64) y)))) #s(literal 2 binary64)))
(fma.f64 y #s(literal 1 binary64) (neg.f64 (pow.f64 y #s(literal 2 binary64))))
(fma.f64 y #s(literal 1 binary64) (*.f64 y (neg.f64 y)))
(fma.f64 #s(literal 1 binary64) y (neg.f64 (pow.f64 y #s(literal 2 binary64))))
(fma.f64 #s(literal 1 binary64) y (*.f64 y (neg.f64 y)))
(fma.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (neg.f64 (pow.f64 y #s(literal 2 binary64))))
(fma.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 y (neg.f64 y)))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 y) (neg.f64 (pow.f64 y #s(literal 2 binary64))))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 y) (*.f64 y (neg.f64 y)))
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) (neg.f64 (pow.f64 y #s(literal 2 binary64))))
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) (*.f64 y (neg.f64 y)))
(+.f64 #s(literal 0 binary64) (*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y))))
(+.f64 (*.f64 x y) (*.f64 (neg.f64 y) (*.f64 x y)))
(+.f64 (*.f64 (*.f64 x y) #s(literal 1 binary64)) (*.f64 (*.f64 x y) (neg.f64 y)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 #s(literal 1 binary64) y)) (*.f64 x y))) (cbrt.f64 (pow.f64 (exp.f64 (-.f64 #s(literal 1 binary64) y)) (*.f64 x y))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 #s(literal 1 binary64) y)) (*.f64 x y)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 #s(literal 1 binary64) y)) (*.f64 x y)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 #s(literal 1 binary64) y)) (*.f64 x y)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y))))) #s(literal 1 binary64))
(/.f64 (*.f64 (*.f64 x y) (-.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 x y) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))) (+.f64 y #s(literal 1 binary64)))
(pow.f64 (*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (-.f64 #s(literal 1 binary64) y)) (*.f64 x y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y))))))
(cbrt.f64 (pow.f64 (*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y)))))
(log1p.f64 (expm1.f64 (*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y)))))
(exp.f64 (log.f64 (*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y)))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y)))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y))))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y))) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y))))) #s(literal 2 binary64)))
(fma.f64 x y (*.f64 (neg.f64 y) (*.f64 x y)))
(fma.f64 y x (*.f64 (neg.f64 y) (*.f64 x y)))
(fma.f64 #s(literal 1 binary64) (*.f64 x y) (*.f64 (neg.f64 y) (*.f64 x y)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) y) (*.f64 (neg.f64 y) (*.f64 x y)))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) x) (*.f64 (neg.f64 y) (*.f64 x y)))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) y) (*.f64 (neg.f64 y) (*.f64 x y)))
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) x) (*.f64 (neg.f64 y) (*.f64 x y)))
(fma.f64 (*.f64 x y) #s(literal 1 binary64) (*.f64 (*.f64 x y) (neg.f64 y)))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 x y)) (cbrt.f64 (*.f64 x y))) (cbrt.f64 (*.f64 x y)) (*.f64 (neg.f64 y) (*.f64 x y)))
(fma.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (*.f64 x y)) (*.f64 (neg.f64 y) (*.f64 x y)))
(fma.f64 (*.f64 (sqrt.f64 y) (sqrt.f64 x)) (*.f64 (sqrt.f64 y) (sqrt.f64 x)) (*.f64 (neg.f64 y) (*.f64 x y)))
(fma.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 y)) (*.f64 (sqrt.f64 x) (sqrt.f64 y)) (*.f64 (neg.f64 y) (*.f64 x y)))
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (*.f64 (neg.f64 y) (*.f64 x y)))
(fma.f64 (*.f64 y (sqrt.f64 x)) (sqrt.f64 x) (*.f64 (neg.f64 y) (*.f64 x y)))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (*.f64 (neg.f64 y) (*.f64 x y)))
(fma.f64 (*.f64 x (sqrt.f64 y)) (sqrt.f64 y) (*.f64 (neg.f64 y) (*.f64 x y)))
(+.f64 x (*.f64 x (neg.f64 y)))
(+.f64 x (*.f64 (neg.f64 y) x))
(+.f64 #s(literal 0 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) y)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) y))) (cbrt.f64 (pow.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) y))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) y)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) y)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) y)))))
(-.f64 (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 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 y #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) x) (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 y #s(literal 1 binary64)))
(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)))))
(cbrt.f64 (pow.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y))))
(log1p.f64 (expm1.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y))))
(exp.f64 (log.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)))) #s(literal 2 binary64)))
(fma.f64 x #s(literal 1 binary64) (*.f64 x (neg.f64 y)))
(fma.f64 x #s(literal 1 binary64) (*.f64 (neg.f64 y) x))
(fma.f64 #s(literal 1 binary64) x (*.f64 x (neg.f64 y)))
(fma.f64 #s(literal 1 binary64) x (*.f64 (neg.f64 y) x))
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 x (neg.f64 y)))
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (neg.f64 y) x))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (*.f64 x (neg.f64 y)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (*.f64 (neg.f64 y) x))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 x (neg.f64 y)))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (neg.f64 y) x))

simplify124.0ms (3.4%)

Algorithm
1×egg-herbie
Rules
834×fma-define
631×fma-neg
439×unswap-sqr
414×distribute-lft-in
380×distribute-rgt-in
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02655630
15415622
213315606
357225582
Stop Event
1×node limit
Counts
208 → 153
Calls
Call 1
Inputs
(*.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 #s(literal -1 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64))))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 x y)))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 x y)))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 x y)))
(*.f64 #s(literal -1 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64))))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 x y)))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 x y)))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 x y)))
y
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) y)))
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) y)))
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) y)))
(*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64)))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64)))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)))
(*.f64 x y)
(*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 x y))))
(*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 x y))))
(*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 x y))))
(*.f64 #s(literal -1 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64))))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 x y)))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 x y)))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 x y)))
(*.f64 #s(literal -1 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64))))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 x y)))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 x y)))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 x y)))
(*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y)))
(*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y)))
(*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y)))
(*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y)))
(*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y)))
(*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y)))
(*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y)))
(*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y)))
(*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y)))
(*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y)))
(*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y)))
(*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y)))
x
(+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 x y)))
(+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 x y)))
(+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 x y)))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 y (+.f64 (*.f64 #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)))))
(+.f64 #s(literal 0 binary64) (*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y))))
(+.f64 (*.f64 x y) (*.f64 (neg.f64 y) (*.f64 x y)))
(+.f64 (*.f64 (*.f64 x y) #s(literal 1 binary64)) (*.f64 (*.f64 x y) (neg.f64 y)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 #s(literal 1 binary64) y)) (*.f64 x y))) (cbrt.f64 (pow.f64 (exp.f64 (-.f64 #s(literal 1 binary64) y)) (*.f64 x y))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 #s(literal 1 binary64) y)) (*.f64 x y)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 #s(literal 1 binary64) y)) (*.f64 x y)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 #s(literal 1 binary64) y)) (*.f64 x y)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y))))) #s(literal 1 binary64))
(/.f64 (*.f64 (*.f64 x y) (-.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 x y) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))) (+.f64 y #s(literal 1 binary64)))
(pow.f64 (*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (-.f64 #s(literal 1 binary64) y)) (*.f64 x y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y))))))
(cbrt.f64 (pow.f64 (*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y)))))
(log1p.f64 (expm1.f64 (*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y)))))
(exp.f64 (log.f64 (*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y)))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y)))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y))))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y))) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y))))) #s(literal 2 binary64)))
(fma.f64 x y (*.f64 (neg.f64 y) (*.f64 x y)))
(fma.f64 y x (*.f64 (neg.f64 y) (*.f64 x y)))
(fma.f64 #s(literal 1 binary64) (*.f64 x y) (*.f64 (neg.f64 y) (*.f64 x y)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) y) (*.f64 (neg.f64 y) (*.f64 x y)))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) x) (*.f64 (neg.f64 y) (*.f64 x y)))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) y) (*.f64 (neg.f64 y) (*.f64 x y)))
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) x) (*.f64 (neg.f64 y) (*.f64 x y)))
(fma.f64 (*.f64 x y) #s(literal 1 binary64) (*.f64 (*.f64 x y) (neg.f64 y)))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 x y)) (cbrt.f64 (*.f64 x y))) (cbrt.f64 (*.f64 x y)) (*.f64 (neg.f64 y) (*.f64 x y)))
(fma.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (*.f64 x y)) (*.f64 (neg.f64 y) (*.f64 x y)))
(fma.f64 (*.f64 (sqrt.f64 y) (sqrt.f64 x)) (*.f64 (sqrt.f64 y) (sqrt.f64 x)) (*.f64 (neg.f64 y) (*.f64 x y)))
(fma.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 y)) (*.f64 (sqrt.f64 x) (sqrt.f64 y)) (*.f64 (neg.f64 y) (*.f64 x y)))
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (*.f64 (neg.f64 y) (*.f64 x y)))
(fma.f64 (*.f64 y (sqrt.f64 x)) (sqrt.f64 x) (*.f64 (neg.f64 y) (*.f64 x y)))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (*.f64 (neg.f64 y) (*.f64 x y)))
(fma.f64 (*.f64 x (sqrt.f64 y)) (sqrt.f64 y) (*.f64 (neg.f64 y) (*.f64 x y)))
(+.f64 y (neg.f64 (pow.f64 y #s(literal 2 binary64))))
(+.f64 y (*.f64 y (neg.f64 y)))
(+.f64 #s(literal 0 binary64) (*.f64 y (-.f64 #s(literal 1 binary64) y)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (-.f64 #s(literal 1 binary64) y))) (cbrt.f64 (pow.f64 (exp.f64 y) (-.f64 #s(literal 1 binary64) y))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (-.f64 #s(literal 1 binary64) y)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (-.f64 #s(literal 1 binary64) y)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (-.f64 #s(literal 1 binary64) y)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (-.f64 #s(literal 1 binary64) y)))) #s(literal 1 binary64))
(/.f64 (*.f64 y (-.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 y (-.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))) y) (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))) y) (+.f64 y #s(literal 1 binary64)))
(pow.f64 (*.f64 y (-.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 y (-.f64 #s(literal 1 binary64) y))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y (-.f64 #s(literal 1 binary64) y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 y (-.f64 #s(literal 1 binary64) y))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 y (-.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 y) (-.f64 #s(literal 1 binary64) y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (-.f64 #s(literal 1 binary64) y)))))
(cbrt.f64 (pow.f64 (*.f64 y (-.f64 #s(literal 1 binary64) y)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 y (-.f64 #s(literal 1 binary64) y))))
(log1p.f64 (expm1.f64 (*.f64 y (-.f64 #s(literal 1 binary64) y))))
(exp.f64 (log.f64 (*.f64 y (-.f64 #s(literal 1 binary64) y))))
(exp.f64 (*.f64 (log.f64 (*.f64 y (-.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 y (-.f64 #s(literal 1 binary64) y)))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 y (-.f64 #s(literal 1 binary64) y)) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 y (-.f64 #s(literal 1 binary64) y)))) #s(literal 2 binary64)))
(fma.f64 y #s(literal 1 binary64) (neg.f64 (pow.f64 y #s(literal 2 binary64))))
(fma.f64 y #s(literal 1 binary64) (*.f64 y (neg.f64 y)))
(fma.f64 #s(literal 1 binary64) y (neg.f64 (pow.f64 y #s(literal 2 binary64))))
(fma.f64 #s(literal 1 binary64) y (*.f64 y (neg.f64 y)))
(fma.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (neg.f64 (pow.f64 y #s(literal 2 binary64))))
(fma.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 y (neg.f64 y)))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 y) (neg.f64 (pow.f64 y #s(literal 2 binary64))))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 y) (*.f64 y (neg.f64 y)))
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) (neg.f64 (pow.f64 y #s(literal 2 binary64))))
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) (*.f64 y (neg.f64 y)))
(+.f64 #s(literal 0 binary64) (*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y))))
(+.f64 (*.f64 x y) (*.f64 (neg.f64 y) (*.f64 x y)))
(+.f64 (*.f64 (*.f64 x y) #s(literal 1 binary64)) (*.f64 (*.f64 x y) (neg.f64 y)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 #s(literal 1 binary64) y)) (*.f64 x y))) (cbrt.f64 (pow.f64 (exp.f64 (-.f64 #s(literal 1 binary64) y)) (*.f64 x y))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 #s(literal 1 binary64) y)) (*.f64 x y)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 #s(literal 1 binary64) y)) (*.f64 x y)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 #s(literal 1 binary64) y)) (*.f64 x y)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y))))) #s(literal 1 binary64))
(/.f64 (*.f64 (*.f64 x y) (-.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 x y) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))) (+.f64 y #s(literal 1 binary64)))
(pow.f64 (*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (-.f64 #s(literal 1 binary64) y)) (*.f64 x y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y))))))
(cbrt.f64 (pow.f64 (*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y)))))
(log1p.f64 (expm1.f64 (*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y)))))
(exp.f64 (log.f64 (*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y)))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y)))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y))))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y))) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y))))) #s(literal 2 binary64)))
(fma.f64 x y (*.f64 (neg.f64 y) (*.f64 x y)))
(fma.f64 y x (*.f64 (neg.f64 y) (*.f64 x y)))
(fma.f64 #s(literal 1 binary64) (*.f64 x y) (*.f64 (neg.f64 y) (*.f64 x y)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) y) (*.f64 (neg.f64 y) (*.f64 x y)))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) x) (*.f64 (neg.f64 y) (*.f64 x y)))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) y) (*.f64 (neg.f64 y) (*.f64 x y)))
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) x) (*.f64 (neg.f64 y) (*.f64 x y)))
(fma.f64 (*.f64 x y) #s(literal 1 binary64) (*.f64 (*.f64 x y) (neg.f64 y)))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 x y)) (cbrt.f64 (*.f64 x y))) (cbrt.f64 (*.f64 x y)) (*.f64 (neg.f64 y) (*.f64 x y)))
(fma.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (*.f64 x y)) (*.f64 (neg.f64 y) (*.f64 x y)))
(fma.f64 (*.f64 (sqrt.f64 y) (sqrt.f64 x)) (*.f64 (sqrt.f64 y) (sqrt.f64 x)) (*.f64 (neg.f64 y) (*.f64 x y)))
(fma.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 y)) (*.f64 (sqrt.f64 x) (sqrt.f64 y)) (*.f64 (neg.f64 y) (*.f64 x y)))
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (*.f64 (neg.f64 y) (*.f64 x y)))
(fma.f64 (*.f64 y (sqrt.f64 x)) (sqrt.f64 x) (*.f64 (neg.f64 y) (*.f64 x y)))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (*.f64 (neg.f64 y) (*.f64 x y)))
(fma.f64 (*.f64 x (sqrt.f64 y)) (sqrt.f64 y) (*.f64 (neg.f64 y) (*.f64 x y)))
(+.f64 x (*.f64 x (neg.f64 y)))
(+.f64 x (*.f64 (neg.f64 y) x))
(+.f64 #s(literal 0 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) y)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) y))) (cbrt.f64 (pow.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) y))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) y)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) y)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) y)))))
(-.f64 (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 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 y #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) x) (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 y #s(literal 1 binary64)))
(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)))))
(cbrt.f64 (pow.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y))))
(log1p.f64 (expm1.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y))))
(exp.f64 (log.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)))) #s(literal 2 binary64)))
(fma.f64 x #s(literal 1 binary64) (*.f64 x (neg.f64 y)))
(fma.f64 x #s(literal 1 binary64) (*.f64 (neg.f64 y) x))
(fma.f64 #s(literal 1 binary64) x (*.f64 x (neg.f64 y)))
(fma.f64 #s(literal 1 binary64) x (*.f64 (neg.f64 y) x))
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 x (neg.f64 y)))
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (neg.f64 y) x))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (*.f64 x (neg.f64 y)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (*.f64 (neg.f64 y) x))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 x (neg.f64 y)))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (neg.f64 y) x))
Outputs
(*.f64 x y)
(*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 x y))))
(*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y)))
(*.f64 x (-.f64 y (pow.f64 y #s(literal 2 binary64))))
(*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 x y))))
(*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y)))
(*.f64 x (-.f64 y (pow.f64 y #s(literal 2 binary64))))
(*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 x y))))
(*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y)))
(*.f64 x (-.f64 y (pow.f64 y #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64))))
(*.f64 (neg.f64 x) (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (neg.f64 (pow.f64 y #s(literal 2 binary64))))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 x y)))
(*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y)))
(*.f64 x (-.f64 y (pow.f64 y #s(literal 2 binary64))))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 x y)))
(*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y)))
(*.f64 x (-.f64 y (pow.f64 y #s(literal 2 binary64))))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 x y)))
(*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y)))
(*.f64 x (-.f64 y (pow.f64 y #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64))))
(*.f64 (neg.f64 x) (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (neg.f64 (pow.f64 y #s(literal 2 binary64))))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 x y)))
(*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y)))
(*.f64 x (-.f64 y (pow.f64 y #s(literal 2 binary64))))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 x y)))
(*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y)))
(*.f64 x (-.f64 y (pow.f64 y #s(literal 2 binary64))))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 x y)))
(*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y)))
(*.f64 x (-.f64 y (pow.f64 y #s(literal 2 binary64))))
y
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) y)))
(*.f64 y (-.f64 #s(literal 1 binary64) y))
(-.f64 y (pow.f64 y #s(literal 2 binary64)))
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) y)))
(*.f64 y (-.f64 #s(literal 1 binary64) y))
(-.f64 y (pow.f64 y #s(literal 2 binary64)))
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) y)))
(*.f64 y (-.f64 #s(literal 1 binary64) y))
(-.f64 y (pow.f64 y #s(literal 2 binary64)))
(*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64)))
(neg.f64 (pow.f64 y #s(literal 2 binary64)))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)))
(*.f64 y (-.f64 #s(literal 1 binary64) y))
(-.f64 y (pow.f64 y #s(literal 2 binary64)))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)))
(*.f64 y (-.f64 #s(literal 1 binary64) y))
(-.f64 y (pow.f64 y #s(literal 2 binary64)))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)))
(*.f64 y (-.f64 #s(literal 1 binary64) y))
(-.f64 y (pow.f64 y #s(literal 2 binary64)))
(*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64)))
(neg.f64 (pow.f64 y #s(literal 2 binary64)))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)))
(*.f64 y (-.f64 #s(literal 1 binary64) y))
(-.f64 y (pow.f64 y #s(literal 2 binary64)))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)))
(*.f64 y (-.f64 #s(literal 1 binary64) y))
(-.f64 y (pow.f64 y #s(literal 2 binary64)))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)))
(*.f64 y (-.f64 #s(literal 1 binary64) y))
(-.f64 y (pow.f64 y #s(literal 2 binary64)))
(*.f64 x y)
(*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 x y))))
(*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y)))
(*.f64 x (-.f64 y (pow.f64 y #s(literal 2 binary64))))
(*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 x y))))
(*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y)))
(*.f64 x (-.f64 y (pow.f64 y #s(literal 2 binary64))))
(*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 x y))))
(*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y)))
(*.f64 x (-.f64 y (pow.f64 y #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64))))
(*.f64 (neg.f64 x) (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (neg.f64 (pow.f64 y #s(literal 2 binary64))))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 x y)))
(*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y)))
(*.f64 x (-.f64 y (pow.f64 y #s(literal 2 binary64))))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 x y)))
(*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y)))
(*.f64 x (-.f64 y (pow.f64 y #s(literal 2 binary64))))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 x y)))
(*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y)))
(*.f64 x (-.f64 y (pow.f64 y #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64))))
(*.f64 (neg.f64 x) (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (neg.f64 (pow.f64 y #s(literal 2 binary64))))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 x y)))
(*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y)))
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(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (*.f64 x (neg.f64 y)))
(*.f64 x (-.f64 #s(literal 1 binary64) y))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (*.f64 (neg.f64 y) x))
(*.f64 x (-.f64 #s(literal 1 binary64) y))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 x (neg.f64 y)))
(*.f64 x (-.f64 #s(literal 1 binary64) y))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (neg.f64 y) x))
(*.f64 x (-.f64 #s(literal 1 binary64) y))

eval27.0ms (0.8%)

Compiler

Compiled 1807 to 1023 computations (43.4% saved)

prune23.0ms (0.6%)

Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New1503153
Fresh000
Picked022
Done000
Total1505155
Accuracy
100.0%
Counts
155 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶74.2%
(*.f64 y (pow.f64 (sqrt.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y))) #s(literal 2 binary64)))
✓99.9%
(*.f64 y (*.f64 x (-.f64 #s(literal 1 binary64) y)))
▶66.0%
(*.f64 y (*.f64 x (neg.f64 y)))
▶55.8%
(*.f64 y x)
✓91.9%
(*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y)))
Compiler

Compiled 43 to 29 computations (32.6% saved)

localize83.0ms (2.3%)

Localize:

Found 5 expressions with local error:

NewAccuracyProgram
100.0%
(*.f64 x (-.f64 #s(literal 1 binary64) y))
✓99.9%
(*.f64 y (pow.f64 (sqrt.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y))) #s(literal 2 binary64)))
✓99.5%
(pow.f64 (sqrt.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y))) #s(literal 2 binary64))
✓90.4%
(sqrt.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)))
✓99.9%
(*.f64 y (*.f64 x (neg.f64 y)))
Results
46.0ms191×0valid
13.0ms65×0invalid
Compiler

Compiled 58 to 31 computations (46.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 37.0ms
ival-mult: 16.0ms (43.5% of total)
ival-sub: 7.0ms (19% of total)
ival-sqrt: 5.0ms (13.6% of total)
ival-pow: 5.0ms (13.6% of total)
const: 1.0ms (2.7% of total)
ival-neg: 1.0ms (2.7% of total)
backward-pass: 0.0ms (0% of total)

series16.0ms (0.4%)

Counts
4 → 88
Calls
Call 1
Inputs
#<alt (*.f64 y (*.f64 x (neg.f64 y)))>
#<alt (sqrt.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)))>
#<alt (pow.f64 (sqrt.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y))) #s(literal 2 binary64))>
#<alt (*.f64 y (pow.f64 (sqrt.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y))) #s(literal 2 binary64)))>
Outputs
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (sqrt.f64 x)>
#<alt (+.f64 (sqrt.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 x) y)))>
#<alt (+.f64 (sqrt.f64 x) (*.f64 y (+.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x)) (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 x) y)))))>
#<alt (+.f64 (sqrt.f64 x) (*.f64 y (+.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x)) (*.f64 y (+.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (*.f64 #s(literal -1/16 binary64) (*.f64 (sqrt.f64 x) y)))))))>
#<alt (*.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 #s(literal -1 binary64)))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 #s(literal -1 binary64)))))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 x (pow.f64 y #s(literal 5 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 #s(literal -1 binary64))))))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 x (pow.f64 y #s(literal 5 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 x (pow.f64 y #s(literal 7 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 #s(literal -1 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 #s(literal -1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64)))) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 #s(literal -1 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 x (pow.f64 y #s(literal 5 binary64)))) (sqrt.f64 #s(literal -1 binary64)))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64)))) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 #s(literal -1 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 x (pow.f64 y #s(literal 5 binary64)))) (sqrt.f64 #s(literal -1 binary64)))) (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 x (pow.f64 y #s(literal 7 binary64)))) (sqrt.f64 #s(literal -1 binary64)))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64)))) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 #s(literal -1 binary64))))))))>
#<alt (*.f64 x (-.f64 #s(literal 1 binary64) y))>
#<alt (*.f64 x (-.f64 #s(literal 1 binary64) y))>
#<alt (*.f64 x (-.f64 #s(literal 1 binary64) y))>
#<alt (*.f64 x (-.f64 #s(literal 1 binary64) y))>
#<alt (*.f64 x (-.f64 #s(literal 1 binary64) y))>
#<alt (*.f64 x (-.f64 #s(literal 1 binary64) y))>
#<alt (*.f64 x (-.f64 #s(literal 1 binary64) y))>
#<alt (*.f64 x (-.f64 #s(literal 1 binary64) y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) y))))>
#<alt x>
#<alt (+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 x y)))>
#<alt (+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 x y)))>
#<alt (+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 x y)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))>
#<alt (*.f64 y (+.f64 (*.f64 #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 (*.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 #s(literal -1 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 x y)))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 x y)))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 x y)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 x y)))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 x y)))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 x y)))>
#<alt (*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y)))>
#<alt (*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y)))>
#<alt (*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y)))>
#<alt (*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y)))>
#<alt (*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y)))>
#<alt (*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y)))>
#<alt (*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y)))>
#<alt (*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) y)))))>
Calls

24 calls:

TimeVariablePointExpression
2.0ms
x
@0
(sqrt (* x (- 1 y)))
1.0ms
y
@inf
(sqrt (* x (- 1 y)))
1.0ms
y
@-inf
(sqrt (* x (- 1 y)))
1.0ms
x
@0
(* y (* x (neg y)))
1.0ms
x
@-inf
(pow (sqrt (* x (- 1 y))) 2)

rewrite108.0ms (3%)

Algorithm
1×batch-egg-rewrite
Rules
786×log1p-expm1-u
786×expm1-log1p-u
484×log-prod
213×prod-diff
158×pow-to-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01896
123588
2270488
Stop Event
1×node limit
Counts
4 → 131
Calls
Call 1
Inputs
(*.f64 y (*.f64 x (neg.f64 y)))
(sqrt.f64 (*.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 y (pow.f64 (sqrt.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y))) #s(literal 2 binary64)))
Outputs
(+.f64 #s(literal 0 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (pow.f64 y #s(literal 2 binary64)))) (cbrt.f64 (pow.f64 (exp.f64 x) (pow.f64 y #s(literal 2 binary64)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (pow.f64 y #s(literal 2 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (pow.f64 y #s(literal 2 binary64))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (pow.f64 y #s(literal 2 binary64))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))))) #s(literal 1 binary64))
(pow.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))) #s(literal 2 binary64))
(neg.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))))
(sqrt.f64 (pow.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 x) (pow.f64 y #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))))))
(log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))))))
(cbrt.f64 (pow.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))))
(exp.f64 (log.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))))) #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) (sqrt.f64 (*.f64 x (+.f64 y #s(literal 1 binary64)))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 x (+.f64 y #s(literal 1 binary64)))))) (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 x (+.f64 y #s(literal 1 binary64)))))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 x (+.f64 y #s(literal 1 binary64))))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (*.f64 x (+.f64 y #s(literal 1 binary64))))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (*.f64 x (+.f64 y #s(literal 1 binary64))))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 x (+.f64 y #s(literal 1 binary64)))))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 x (+.f64 y #s(literal 1 binary64)))))
(*.f64 (sqrt.f64 (*.f64 x (+.f64 y #s(literal 1 binary64)))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (*.f64 x (+.f64 y #s(literal 1 binary64)))) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 (pow.f64 (*.f64 x (+.f64 y #s(literal 1 binary64))) #s(literal 1/6 binary64)) (cbrt.f64 (*.f64 x (+.f64 y #s(literal 1 binary64)))))
(*.f64 (cbrt.f64 (*.f64 x (+.f64 y #s(literal 1 binary64)))) (pow.f64 (*.f64 x (+.f64 y #s(literal 1 binary64))) #s(literal 1/6 binary64)))
(*.f64 (sqrt.f64 x) (hypot.f64 #s(literal 1 binary64) (sqrt.f64 y)))
(*.f64 (hypot.f64 #s(literal 1 binary64) (sqrt.f64 y)) (sqrt.f64 x))
(*.f64 (pow.f64 (*.f64 x (+.f64 y #s(literal 1 binary64))) #s(literal 1/4 binary64)) (pow.f64 (*.f64 x (+.f64 y #s(literal 1 binary64))) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 y #s(literal 1 binary64)))) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (*.f64 x (+.f64 y #s(literal 1 binary64))))))
(pow.f64 (sqrt.f64 (*.f64 x (+.f64 y #s(literal 1 binary64)))) #s(literal 1 binary64))
(pow.f64 (*.f64 x (+.f64 y #s(literal 1 binary64))) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 x (+.f64 y #s(literal 1 binary64))) #s(literal 1/6 binary64)) #s(literal 3 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (+.f64 y #s(literal 1 binary64)))) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 (*.f64 x (+.f64 y #s(literal 1 binary64))) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (*.f64 x (+.f64 y #s(literal 1 binary64))) #s(literal 2 binary64)) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (*.f64 x (+.f64 y #s(literal 1 binary64))) #s(literal 3 binary64)) #s(literal 1/6 binary64))
(pow.f64 (pow.f64 (*.f64 x (+.f64 y #s(literal 1 binary64))) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(fabs.f64 (sqrt.f64 (*.f64 x (+.f64 y #s(literal 1 binary64)))))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 x (+.f64 y #s(literal 1 binary64))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (*.f64 x (+.f64 y #s(literal 1 binary64)))))))
(cbrt.f64 (pow.f64 (*.f64 x (+.f64 y #s(literal 1 binary64))) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 x (+.f64 y #s(literal 1 binary64))))))
(hypot.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 y x)))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 x (+.f64 y #s(literal 1 binary64))))))
(exp.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (log1p.f64 y) (log.f64 x))))
(exp.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (log1p.f64 y) (log.f64 x))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (+.f64 (log1p.f64 y) (log.f64 x)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 x (+.f64 y #s(literal 1 binary64))) #s(literal 1/6 binary64))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3/2 binary64) (+.f64 (log1p.f64 y) (log.f64 x))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log1p.f64 y) (log.f64 x))) #s(literal 2 binary64)))
(+.f64 x (*.f64 y x))
(+.f64 #s(literal 0 binary64) (*.f64 x (+.f64 y #s(literal 1 binary64))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 y #s(literal 1 binary64)))) (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 y #s(literal 1 binary64)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 y #s(literal 1 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 y #s(literal 1 binary64))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 y #s(literal 1 binary64))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (+.f64 y #s(literal 1 binary64))))) #s(literal 1 binary64))
(*.f64 x (+.f64 y #s(literal 1 binary64)))
(*.f64 #s(literal 1 binary64) (*.f64 x (+.f64 y #s(literal 1 binary64))))
(*.f64 (+.f64 y #s(literal 1 binary64)) x)
(*.f64 (sqrt.f64 (*.f64 x (+.f64 y #s(literal 1 binary64)))) (sqrt.f64 (*.f64 x (+.f64 y #s(literal 1 binary64)))))
(*.f64 (*.f64 x (+.f64 y #s(literal 1 binary64))) #s(literal 1 binary64))
(*.f64 (*.f64 x (+.f64 y #s(literal 1 binary64))) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 (cbrt.f64 (*.f64 x (+.f64 y #s(literal 1 binary64)))) (pow.f64 (cbrt.f64 (*.f64 x (+.f64 y #s(literal 1 binary64)))) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (*.f64 x (+.f64 y #s(literal 1 binary64)))) (*.f64 (pow.f64 (*.f64 x (+.f64 y #s(literal 1 binary64))) #s(literal 1/6 binary64)) (sqrt.f64 (*.f64 x (+.f64 y #s(literal 1 binary64))))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 y #s(literal 1 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x (+.f64 y #s(literal 1 binary64)))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 y #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (+.f64 y #s(literal 1 binary64))) x))
(*.f64 (cbrt.f64 (pow.f64 x #s(literal 2 binary64))) (*.f64 (cbrt.f64 x) (+.f64 y #s(literal 1 binary64))))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (+.f64 y #s(literal 1 binary64))))
(*.f64 (sqrt.f64 x) (*.f64 (hypot.f64 #s(literal 1 binary64) (sqrt.f64 y)) (sqrt.f64 (*.f64 x (+.f64 y #s(literal 1 binary64))))))
(*.f64 (hypot.f64 #s(literal 1 binary64) (sqrt.f64 y)) (*.f64 (hypot.f64 #s(literal 1 binary64) (sqrt.f64 y)) x))
(*.f64 (pow.f64 (*.f64 x (+.f64 y #s(literal 1 binary64))) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (*.f64 x (+.f64 y #s(literal 1 binary64))) #s(literal 1/4 binary64)) (sqrt.f64 (*.f64 x (+.f64 y #s(literal 1 binary64))))))
(*.f64 (*.f64 (sqrt.f64 (*.f64 x (+.f64 y #s(literal 1 binary64)))) (pow.f64 (*.f64 x (+.f64 y #s(literal 1 binary64))) #s(literal 1/4 binary64))) (pow.f64 (*.f64 x (+.f64 y #s(literal 1 binary64))) #s(literal 1/4 binary64)))
(*.f64 (*.f64 x (pow.f64 (cbrt.f64 (+.f64 y #s(literal 1 binary64))) #s(literal 2 binary64))) (cbrt.f64 (+.f64 y #s(literal 1 binary64))))
(*.f64 (*.f64 x (hypot.f64 #s(literal 1 binary64) (sqrt.f64 y))) (hypot.f64 #s(literal 1 binary64) (sqrt.f64 y)))
(*.f64 (*.f64 (+.f64 y #s(literal 1 binary64)) (cbrt.f64 (pow.f64 x #s(literal 2 binary64)))) (cbrt.f64 x))
(*.f64 (*.f64 (+.f64 y #s(literal 1 binary64)) (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (*.f64 (sqrt.f64 (*.f64 x (+.f64 y #s(literal 1 binary64)))) (cbrt.f64 (*.f64 x (+.f64 y #s(literal 1 binary64))))) (pow.f64 (*.f64 x (+.f64 y #s(literal 1 binary64))) #s(literal 1/6 binary64)))
(*.f64 (*.f64 (sqrt.f64 (*.f64 x (+.f64 y #s(literal 1 binary64)))) (sqrt.f64 x)) (hypot.f64 #s(literal 1 binary64) (sqrt.f64 y)))
(/.f64 (*.f64 x (+.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 y #s(literal 1 binary64)))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) x) (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 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 x) (+.f64 y #s(literal 1 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (+.f64 y #s(literal 1 binary64))))))
(log.f64 (*.f64 (exp.f64 x) (pow.f64 (exp.f64 x) y)))
(log.f64 (*.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y x)))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (pow.f64 (exp.f64 x) y)))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y x)))))
(cbrt.f64 (pow.f64 (*.f64 x (+.f64 y #s(literal 1 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (+.f64 y #s(literal 1 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 y #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 x #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 (+.f64 (log1p.f64 y) (log.f64 x)))
(exp.f64 (*.f64 (+.f64 (log1p.f64 y) (log.f64 x)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (+.f64 (log1p.f64 y) (log.f64 x))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (+.f64 (log1p.f64 y) (log.f64 x))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (+.f64 (log1p.f64 y) (log.f64 x))) #s(literal 1/3 binary64)))
(fma.f64 x #s(literal 1 binary64) (*.f64 y x))
(fma.f64 #s(literal 1 binary64) x (*.f64 y x))
(fma.f64 (cbrt.f64 x) (cbrt.f64 (pow.f64 x #s(literal 2 binary64))) (*.f64 y x))
(fma.f64 (cbrt.f64 (pow.f64 x #s(literal 2 binary64))) (cbrt.f64 x) (*.f64 y x))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 y x))
(+.f64 #s(literal 0 binary64) (*.f64 x (fma.f64 y y y)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (fma.f64 y y y))) (cbrt.f64 (pow.f64 (exp.f64 x) (fma.f64 y y y))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (fma.f64 y y y)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (fma.f64 y y y)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (fma.f64 y y y)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (fma.f64 y y y)))) #s(literal 1 binary64))
(pow.f64 (*.f64 x (fma.f64 y y y)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (fma.f64 y y y))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x (fma.f64 y y y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (fma.f64 y y y))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 x (fma.f64 y y y)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 x) (fma.f64 y y y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (fma.f64 y y y)))))
(cbrt.f64 (pow.f64 (*.f64 x (fma.f64 y y y)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 x (+.f64 y #s(literal 1 binary64))) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 x (+.f64 y #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 x (fma.f64 y y y))))
(log1p.f64 (expm1.f64 (*.f64 x (fma.f64 y y y))))
(exp.f64 (+.f64 (log1p.f64 y) (log.f64 (*.f64 y x))))
(exp.f64 (*.f64 (+.f64 (log1p.f64 y) (log.f64 (*.f64 y x))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x (fma.f64 y y y)))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (+.f64 (log1p.f64 y) (log.f64 (*.f64 y x)))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x (fma.f64 y y y)))) #s(literal 2 binary64)))

simplify224.0ms (6.2%)

Algorithm
1×egg-herbie
Rules
592×times-frac
469×fma-neg
417×prod-exp
326×exp-prod
202×associate-*r*
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
04046670
19456299
228886108
351566104
Stop Event
1×node limit
Counts
219 → 226
Calls
Call 1
Inputs
(*.f64 #s(literal -1 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(sqrt.f64 x)
(+.f64 (sqrt.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 x) y)))
(+.f64 (sqrt.f64 x) (*.f64 y (+.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x)) (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 x) y)))))
(+.f64 (sqrt.f64 x) (*.f64 y (+.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x)) (*.f64 y (+.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (*.f64 #s(literal -1/16 binary64) (*.f64 (sqrt.f64 x) y)))))))
(*.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 #s(literal -1 binary64)))
(*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 #s(literal -1 binary64)))))
(*.f64 y (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 x (pow.f64 y #s(literal 5 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 #s(literal -1 binary64))))))
(*.f64 y (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 x (pow.f64 y #s(literal 5 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 x (pow.f64 y #s(literal 7 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 #s(literal -1 binary64)))))))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 #s(literal -1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64)))) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 #s(literal -1 binary64))))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 x (pow.f64 y #s(literal 5 binary64)))) (sqrt.f64 #s(literal -1 binary64)))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64)))) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 #s(literal -1 binary64)))))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 x (pow.f64 y #s(literal 5 binary64)))) (sqrt.f64 #s(literal -1 binary64)))) (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 x (pow.f64 y #s(literal 7 binary64)))) (sqrt.f64 #s(literal -1 binary64)))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64)))) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 #s(literal -1 binary64))))))))
(*.f64 x (-.f64 #s(literal 1 binary64) y))
(*.f64 x (-.f64 #s(literal 1 binary64) y))
(*.f64 x (-.f64 #s(literal 1 binary64) y))
(*.f64 x (-.f64 #s(literal 1 binary64) y))
(*.f64 x (-.f64 #s(literal 1 binary64) y))
(*.f64 x (-.f64 #s(literal 1 binary64) y))
(*.f64 x (-.f64 #s(literal 1 binary64) y))
(*.f64 x (-.f64 #s(literal 1 binary64) y))
(*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) y))))
(*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) y))))
(*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) y))))
(*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) y))))
x
(+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 x y)))
(+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 x y)))
(+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 x y)))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 y (+.f64 (*.f64 #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)))))
(*.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 #s(literal -1 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64))))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 x y)))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 x y)))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 x y)))
(*.f64 #s(literal -1 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64))))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 x y)))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 x y)))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 x y)))
(*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y)))
(*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y)))
(*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y)))
(*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y)))
(*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y)))
(*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y)))
(*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y)))
(*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y)))
(*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) y)))))
(*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) y)))))
(*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) y)))))
(*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) y)))))
(+.f64 #s(literal 0 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (pow.f64 y #s(literal 2 binary64)))) (cbrt.f64 (pow.f64 (exp.f64 x) (pow.f64 y #s(literal 2 binary64)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (pow.f64 y #s(literal 2 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (pow.f64 y #s(literal 2 binary64))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (pow.f64 y #s(literal 2 binary64))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))))) #s(literal 1 binary64))
(pow.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))) #s(literal 2 binary64))
(neg.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))))
(sqrt.f64 (pow.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 x) (pow.f64 y #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))))))
(log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))))))
(cbrt.f64 (pow.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))))
(exp.f64 (log.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))))) #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) (sqrt.f64 (*.f64 x (+.f64 y #s(literal 1 binary64)))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 x (+.f64 y #s(literal 1 binary64)))))) (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 x (+.f64 y #s(literal 1 binary64)))))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 x (+.f64 y #s(literal 1 binary64))))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (*.f64 x (+.f64 y #s(literal 1 binary64))))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (*.f64 x (+.f64 y #s(literal 1 binary64))))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 x (+.f64 y #s(literal 1 binary64)))))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 x (+.f64 y #s(literal 1 binary64)))))
(*.f64 (sqrt.f64 (*.f64 x (+.f64 y #s(literal 1 binary64)))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (*.f64 x (+.f64 y #s(literal 1 binary64)))) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 (pow.f64 (*.f64 x (+.f64 y #s(literal 1 binary64))) #s(literal 1/6 binary64)) (cbrt.f64 (*.f64 x (+.f64 y #s(literal 1 binary64)))))
(*.f64 (cbrt.f64 (*.f64 x (+.f64 y #s(literal 1 binary64)))) (pow.f64 (*.f64 x (+.f64 y #s(literal 1 binary64))) #s(literal 1/6 binary64)))
(*.f64 (sqrt.f64 x) (hypot.f64 #s(literal 1 binary64) (sqrt.f64 y)))
(*.f64 (hypot.f64 #s(literal 1 binary64) (sqrt.f64 y)) (sqrt.f64 x))
(*.f64 (pow.f64 (*.f64 x (+.f64 y #s(literal 1 binary64))) #s(literal 1/4 binary64)) (pow.f64 (*.f64 x (+.f64 y #s(literal 1 binary64))) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 y #s(literal 1 binary64)))) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (*.f64 x (+.f64 y #s(literal 1 binary64))))))
(pow.f64 (sqrt.f64 (*.f64 x (+.f64 y #s(literal 1 binary64)))) #s(literal 1 binary64))
(pow.f64 (*.f64 x (+.f64 y #s(literal 1 binary64))) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 x (+.f64 y #s(literal 1 binary64))) #s(literal 1/6 binary64)) #s(literal 3 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (+.f64 y #s(literal 1 binary64)))) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 (*.f64 x (+.f64 y #s(literal 1 binary64))) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (*.f64 x (+.f64 y #s(literal 1 binary64))) #s(literal 2 binary64)) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (*.f64 x (+.f64 y #s(literal 1 binary64))) #s(literal 3 binary64)) #s(literal 1/6 binary64))
(pow.f64 (pow.f64 (*.f64 x (+.f64 y #s(literal 1 binary64))) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(fabs.f64 (sqrt.f64 (*.f64 x (+.f64 y #s(literal 1 binary64)))))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 x (+.f64 y #s(literal 1 binary64))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (*.f64 x (+.f64 y #s(literal 1 binary64)))))))
(cbrt.f64 (pow.f64 (*.f64 x (+.f64 y #s(literal 1 binary64))) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 x (+.f64 y #s(literal 1 binary64))))))
(hypot.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 y x)))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 x (+.f64 y #s(literal 1 binary64))))))
(exp.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (log1p.f64 y) (log.f64 x))))
(exp.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (log1p.f64 y) (log.f64 x))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (+.f64 (log1p.f64 y) (log.f64 x)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 x (+.f64 y #s(literal 1 binary64))) #s(literal 1/6 binary64))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3/2 binary64) (+.f64 (log1p.f64 y) (log.f64 x))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log1p.f64 y) (log.f64 x))) #s(literal 2 binary64)))
(+.f64 x (*.f64 y x))
(+.f64 #s(literal 0 binary64) (*.f64 x (+.f64 y #s(literal 1 binary64))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 y #s(literal 1 binary64)))) (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 y #s(literal 1 binary64)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 y #s(literal 1 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 y #s(literal 1 binary64))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 y #s(literal 1 binary64))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (+.f64 y #s(literal 1 binary64))))) #s(literal 1 binary64))
(*.f64 x (+.f64 y #s(literal 1 binary64)))
(*.f64 #s(literal 1 binary64) (*.f64 x (+.f64 y #s(literal 1 binary64))))
(*.f64 (+.f64 y #s(literal 1 binary64)) x)
(*.f64 (sqrt.f64 (*.f64 x (+.f64 y #s(literal 1 binary64)))) (sqrt.f64 (*.f64 x (+.f64 y #s(literal 1 binary64)))))
(*.f64 (*.f64 x (+.f64 y #s(literal 1 binary64))) #s(literal 1 binary64))
(*.f64 (*.f64 x (+.f64 y #s(literal 1 binary64))) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 (cbrt.f64 (*.f64 x (+.f64 y #s(literal 1 binary64)))) (pow.f64 (cbrt.f64 (*.f64 x (+.f64 y #s(literal 1 binary64)))) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (*.f64 x (+.f64 y #s(literal 1 binary64)))) (*.f64 (pow.f64 (*.f64 x (+.f64 y #s(literal 1 binary64))) #s(literal 1/6 binary64)) (sqrt.f64 (*.f64 x (+.f64 y #s(literal 1 binary64))))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 y #s(literal 1 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x (+.f64 y #s(literal 1 binary64)))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 y #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (+.f64 y #s(literal 1 binary64))) x))
(*.f64 (cbrt.f64 (pow.f64 x #s(literal 2 binary64))) (*.f64 (cbrt.f64 x) (+.f64 y #s(literal 1 binary64))))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (+.f64 y #s(literal 1 binary64))))
(*.f64 (sqrt.f64 x) (*.f64 (hypot.f64 #s(literal 1 binary64) (sqrt.f64 y)) (sqrt.f64 (*.f64 x (+.f64 y #s(literal 1 binary64))))))
(*.f64 (hypot.f64 #s(literal 1 binary64) (sqrt.f64 y)) (*.f64 (hypot.f64 #s(literal 1 binary64) (sqrt.f64 y)) x))
(*.f64 (pow.f64 (*.f64 x (+.f64 y #s(literal 1 binary64))) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (*.f64 x (+.f64 y #s(literal 1 binary64))) #s(literal 1/4 binary64)) (sqrt.f64 (*.f64 x (+.f64 y #s(literal 1 binary64))))))
(*.f64 (*.f64 (sqrt.f64 (*.f64 x (+.f64 y #s(literal 1 binary64)))) (pow.f64 (*.f64 x (+.f64 y #s(literal 1 binary64))) #s(literal 1/4 binary64))) (pow.f64 (*.f64 x (+.f64 y #s(literal 1 binary64))) #s(literal 1/4 binary64)))
(*.f64 (*.f64 x (pow.f64 (cbrt.f64 (+.f64 y #s(literal 1 binary64))) #s(literal 2 binary64))) (cbrt.f64 (+.f64 y #s(literal 1 binary64))))
(*.f64 (*.f64 x (hypot.f64 #s(literal 1 binary64) (sqrt.f64 y))) (hypot.f64 #s(literal 1 binary64) (sqrt.f64 y)))
(*.f64 (*.f64 (+.f64 y #s(literal 1 binary64)) (cbrt.f64 (pow.f64 x #s(literal 2 binary64)))) (cbrt.f64 x))
(*.f64 (*.f64 (+.f64 y #s(literal 1 binary64)) (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (*.f64 (sqrt.f64 (*.f64 x (+.f64 y #s(literal 1 binary64)))) (cbrt.f64 (*.f64 x (+.f64 y #s(literal 1 binary64))))) (pow.f64 (*.f64 x (+.f64 y #s(literal 1 binary64))) #s(literal 1/6 binary64)))
(*.f64 (*.f64 (sqrt.f64 (*.f64 x (+.f64 y #s(literal 1 binary64)))) (sqrt.f64 x)) (hypot.f64 #s(literal 1 binary64) (sqrt.f64 y)))
(/.f64 (*.f64 x (+.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 y #s(literal 1 binary64)))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) x) (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 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 x) (+.f64 y #s(literal 1 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (+.f64 y #s(literal 1 binary64))))))
(log.f64 (*.f64 (exp.f64 x) (pow.f64 (exp.f64 x) y)))
(log.f64 (*.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y x)))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (pow.f64 (exp.f64 x) y)))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y x)))))
(cbrt.f64 (pow.f64 (*.f64 x (+.f64 y #s(literal 1 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (+.f64 y #s(literal 1 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 y #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 x #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 (+.f64 (log1p.f64 y) (log.f64 x)))
(exp.f64 (*.f64 (+.f64 (log1p.f64 y) (log.f64 x)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (+.f64 (log1p.f64 y) (log.f64 x))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (+.f64 (log1p.f64 y) (log.f64 x))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (+.f64 (log1p.f64 y) (log.f64 x))) #s(literal 1/3 binary64)))
(fma.f64 x #s(literal 1 binary64) (*.f64 y x))
(fma.f64 #s(literal 1 binary64) x (*.f64 y x))
(fma.f64 (cbrt.f64 x) (cbrt.f64 (pow.f64 x #s(literal 2 binary64))) (*.f64 y x))
(fma.f64 (cbrt.f64 (pow.f64 x #s(literal 2 binary64))) (cbrt.f64 x) (*.f64 y x))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 y x))
(+.f64 #s(literal 0 binary64) (*.f64 x (fma.f64 y y y)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (fma.f64 y y y))) (cbrt.f64 (pow.f64 (exp.f64 x) (fma.f64 y y y))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (fma.f64 y y y)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (fma.f64 y y y)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (fma.f64 y y y)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (fma.f64 y y y)))) #s(literal 1 binary64))
(pow.f64 (*.f64 x (fma.f64 y y y)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (fma.f64 y y y))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x (fma.f64 y y y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (fma.f64 y y y))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 x (fma.f64 y y y)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 x) (fma.f64 y y y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (fma.f64 y y y)))))
(cbrt.f64 (pow.f64 (*.f64 x (fma.f64 y y y)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 x (+.f64 y #s(literal 1 binary64))) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 x (+.f64 y #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 x (fma.f64 y y y))))
(log1p.f64 (expm1.f64 (*.f64 x (fma.f64 y y y))))
(exp.f64 (+.f64 (log1p.f64 y) (log.f64 (*.f64 y x))))
(exp.f64 (*.f64 (+.f64 (log1p.f64 y) (log.f64 (*.f64 y x))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x (fma.f64 y y y)))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (+.f64 (log1p.f64 y) (log.f64 (*.f64 y x)))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x (fma.f64 y y y)))) #s(literal 2 binary64)))
Outputs
(*.f64 #s(literal -1 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64))))
(*.f64 x (neg.f64 (pow.f64 y #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64))))
(*.f64 x (neg.f64 (pow.f64 y #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64))))
(*.f64 x (neg.f64 (pow.f64 y #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64))))
(*.f64 x (neg.f64 (pow.f64 y #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64))))
(*.f64 x (neg.f64 (pow.f64 y #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64))))
(*.f64 x (neg.f64 (pow.f64 y #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64))))
(*.f64 x (neg.f64 (pow.f64 y #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64))))
(*.f64 x (neg.f64 (pow.f64 y #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64))))
(*.f64 x (neg.f64 (pow.f64 y #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64))))
(*.f64 x (neg.f64 (pow.f64 y #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64))))
(*.f64 x (neg.f64 (pow.f64 y #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64))))
(*.f64 x (neg.f64 (pow.f64 y #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64))))
(*.f64 x (neg.f64 (pow.f64 y #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64))))
(*.f64 x (neg.f64 (pow.f64 y #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64))))
(*.f64 x (neg.f64 (pow.f64 y #s(literal 2 binary64))))
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(*.f64 x (neg.f64 (pow.f64 y #s(literal 2 binary64))))
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(*.f64 (+.f64 y #s(literal 1 binary64)) x)
(*.f64 x (+.f64 y #s(literal 1 binary64)))
(fma.f64 x y x)
(*.f64 (sqrt.f64 (*.f64 x (+.f64 y #s(literal 1 binary64)))) (sqrt.f64 (*.f64 x (+.f64 y #s(literal 1 binary64)))))
(*.f64 x (+.f64 y #s(literal 1 binary64)))
(fma.f64 x y x)
(*.f64 (*.f64 x (+.f64 y #s(literal 1 binary64))) #s(literal 1 binary64))
(*.f64 x (+.f64 y #s(literal 1 binary64)))
(fma.f64 x y x)
(*.f64 (*.f64 x (+.f64 y #s(literal 1 binary64))) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 x (+.f64 y #s(literal 1 binary64)))
(fma.f64 x y x)
(*.f64 (cbrt.f64 (*.f64 x (+.f64 y #s(literal 1 binary64)))) (pow.f64 (cbrt.f64 (*.f64 x (+.f64 y #s(literal 1 binary64)))) #s(literal 2 binary64)))
(*.f64 x (+.f64 y #s(literal 1 binary64)))
(fma.f64 x y x)
(*.f64 (cbrt.f64 (*.f64 x (+.f64 y #s(literal 1 binary64)))) (*.f64 (pow.f64 (*.f64 x (+.f64 y #s(literal 1 binary64))) #s(literal 1/6 binary64)) (sqrt.f64 (*.f64 x (+.f64 y #s(literal 1 binary64))))))
(*.f64 (cbrt.f64 (*.f64 x (+.f64 y #s(literal 1 binary64)))) (*.f64 (sqrt.f64 (*.f64 x (+.f64 y #s(literal 1 binary64)))) (pow.f64 (*.f64 x (+.f64 y #s(literal 1 binary64))) #s(literal 1/6 binary64))))
(*.f64 (pow.f64 (fma.f64 x y x) #s(literal 1/6 binary64)) (*.f64 (sqrt.f64 (fma.f64 x y x)) (cbrt.f64 (fma.f64 x y x))))
(*.f64 (sqrt.f64 (fma.f64 x y x)) (pow.f64 (pow.f64 (fma.f64 x y x) #s(literal 1/6 binary64)) #s(literal 3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 y #s(literal 1 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x (+.f64 y #s(literal 1 binary64)))))
(*.f64 x (+.f64 y #s(literal 1 binary64)))
(fma.f64 x y x)
(*.f64 (pow.f64 (cbrt.f64 (+.f64 y #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (+.f64 y #s(literal 1 binary64))) x))
(*.f64 x (+.f64 y #s(literal 1 binary64)))
(fma.f64 x y x)
(*.f64 (cbrt.f64 (pow.f64 x #s(literal 2 binary64))) (*.f64 (cbrt.f64 x) (+.f64 y #s(literal 1 binary64))))
(*.f64 (cbrt.f64 (pow.f64 x #s(literal 2 binary64))) (*.f64 (+.f64 y #s(literal 1 binary64)) (cbrt.f64 x)))
(*.f64 (+.f64 y #s(literal 1 binary64)) (*.f64 (cbrt.f64 (pow.f64 x #s(literal 2 binary64))) (cbrt.f64 x)))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (+.f64 y #s(literal 1 binary64))))
(*.f64 x (+.f64 y #s(literal 1 binary64)))
(fma.f64 x y x)
(*.f64 (sqrt.f64 x) (*.f64 (hypot.f64 #s(literal 1 binary64) (sqrt.f64 y)) (sqrt.f64 (*.f64 x (+.f64 y #s(literal 1 binary64))))))
(*.f64 x (+.f64 y #s(literal 1 binary64)))
(fma.f64 x y x)
(*.f64 (hypot.f64 #s(literal 1 binary64) (sqrt.f64 y)) (*.f64 (hypot.f64 #s(literal 1 binary64) (sqrt.f64 y)) x))
(*.f64 x (+.f64 y #s(literal 1 binary64)))
(fma.f64 x y x)
(*.f64 (pow.f64 (*.f64 x (+.f64 y #s(literal 1 binary64))) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (*.f64 x (+.f64 y #s(literal 1 binary64))) #s(literal 1/4 binary64)) (sqrt.f64 (*.f64 x (+.f64 y #s(literal 1 binary64))))))
(*.f64 x (+.f64 y #s(literal 1 binary64)))
(fma.f64 x y x)
(*.f64 (*.f64 (sqrt.f64 (*.f64 x (+.f64 y #s(literal 1 binary64)))) (pow.f64 (*.f64 x (+.f64 y #s(literal 1 binary64))) #s(literal 1/4 binary64))) (pow.f64 (*.f64 x (+.f64 y #s(literal 1 binary64))) #s(literal 1/4 binary64)))
(*.f64 x (+.f64 y #s(literal 1 binary64)))
(fma.f64 x y x)
(*.f64 (*.f64 x (pow.f64 (cbrt.f64 (+.f64 y #s(literal 1 binary64))) #s(literal 2 binary64))) (cbrt.f64 (+.f64 y #s(literal 1 binary64))))
(*.f64 x (+.f64 y #s(literal 1 binary64)))
(fma.f64 x y x)
(*.f64 (*.f64 x (hypot.f64 #s(literal 1 binary64) (sqrt.f64 y))) (hypot.f64 #s(literal 1 binary64) (sqrt.f64 y)))
(*.f64 x (+.f64 y #s(literal 1 binary64)))
(fma.f64 x y x)
(*.f64 (*.f64 (+.f64 y #s(literal 1 binary64)) (cbrt.f64 (pow.f64 x #s(literal 2 binary64)))) (cbrt.f64 x))
(*.f64 (cbrt.f64 (pow.f64 x #s(literal 2 binary64))) (*.f64 (+.f64 y #s(literal 1 binary64)) (cbrt.f64 x)))
(*.f64 (+.f64 y #s(literal 1 binary64)) (*.f64 (cbrt.f64 (pow.f64 x #s(literal 2 binary64))) (cbrt.f64 x)))
(*.f64 (*.f64 (+.f64 y #s(literal 1 binary64)) (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 x (+.f64 y #s(literal 1 binary64)))
(fma.f64 x y x)
(*.f64 (*.f64 (sqrt.f64 (*.f64 x (+.f64 y #s(literal 1 binary64)))) (cbrt.f64 (*.f64 x (+.f64 y #s(literal 1 binary64))))) (pow.f64 (*.f64 x (+.f64 y #s(literal 1 binary64))) #s(literal 1/6 binary64)))
(*.f64 (cbrt.f64 (*.f64 x (+.f64 y #s(literal 1 binary64)))) (*.f64 (sqrt.f64 (*.f64 x (+.f64 y #s(literal 1 binary64)))) (pow.f64 (*.f64 x (+.f64 y #s(literal 1 binary64))) #s(literal 1/6 binary64))))
(*.f64 (pow.f64 (fma.f64 x y x) #s(literal 1/6 binary64)) (*.f64 (sqrt.f64 (fma.f64 x y x)) (cbrt.f64 (fma.f64 x y x))))
(*.f64 (sqrt.f64 (fma.f64 x y x)) (pow.f64 (pow.f64 (fma.f64 x y x) #s(literal 1/6 binary64)) #s(literal 3 binary64)))
(*.f64 (*.f64 (sqrt.f64 (*.f64 x (+.f64 y #s(literal 1 binary64)))) (sqrt.f64 x)) (hypot.f64 #s(literal 1 binary64) (sqrt.f64 y)))
(*.f64 x (+.f64 y #s(literal 1 binary64)))
(fma.f64 x y x)
(/.f64 (*.f64 x (+.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 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 y #s(literal 1 binary64)))
(*.f64 x (/.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 y #s(literal 1 binary64))))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) (/.f64 x (+.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 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 y #s(literal 1 binary64)))
(*.f64 x (/.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 y #s(literal 1 binary64))))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) (/.f64 x (+.f64 y #s(literal 1 binary64))))
(sqrt.f64 (pow.f64 (*.f64 x (+.f64 y #s(literal 1 binary64))) #s(literal 2 binary64)))
(*.f64 x (+.f64 y #s(literal 1 binary64)))
(fma.f64 x y x)
(log.f64 (pow.f64 (exp.f64 x) (+.f64 y #s(literal 1 binary64))))
(*.f64 x (+.f64 y #s(literal 1 binary64)))
(fma.f64 x y x)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (+.f64 y #s(literal 1 binary64))))))
(*.f64 x (+.f64 y #s(literal 1 binary64)))
(fma.f64 x y x)
(log.f64 (*.f64 (exp.f64 x) (pow.f64 (exp.f64 x) y)))
(*.f64 x (+.f64 y #s(literal 1 binary64)))
(fma.f64 x y x)
(log.f64 (*.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y x)))))
(*.f64 x (+.f64 y #s(literal 1 binary64)))
(fma.f64 x y x)
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (pow.f64 (exp.f64 x) y)))
(*.f64 x (+.f64 y #s(literal 1 binary64)))
(fma.f64 x y x)
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y x)))))
(*.f64 x (+.f64 y #s(literal 1 binary64)))
(fma.f64 x y x)
(cbrt.f64 (pow.f64 (*.f64 x (+.f64 y #s(literal 1 binary64))) #s(literal 3 binary64)))
(*.f64 x (+.f64 y #s(literal 1 binary64)))
(fma.f64 x y x)
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (+.f64 y #s(literal 1 binary64)) #s(literal 3 binary64))))
(*.f64 x (+.f64 y #s(literal 1 binary64)))
(fma.f64 x y x)
(cbrt.f64 (*.f64 (pow.f64 (+.f64 y #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(*.f64 x (+.f64 y #s(literal 1 binary64)))
(fma.f64 x y x)
(expm1.f64 (log1p.f64 (*.f64 x (+.f64 y #s(literal 1 binary64)))))
(*.f64 x (+.f64 y #s(literal 1 binary64)))
(fma.f64 x y x)
(log1p.f64 (expm1.f64 (*.f64 x (+.f64 y #s(literal 1 binary64)))))
(*.f64 x (+.f64 y #s(literal 1 binary64)))
(fma.f64 x y x)
(exp.f64 (+.f64 (log1p.f64 y) (log.f64 x)))
(*.f64 x (+.f64 y #s(literal 1 binary64)))
(fma.f64 x y x)
(exp.f64 (*.f64 (+.f64 (log1p.f64 y) (log.f64 x)) #s(literal 1 binary64)))
(*.f64 x (+.f64 y #s(literal 1 binary64)))
(fma.f64 x y x)
(exp.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (+.f64 (log1p.f64 y) (log.f64 x))) #s(literal 3 binary64)))
(*.f64 x (+.f64 y #s(literal 1 binary64)))
(fma.f64 x y x)
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (+.f64 (log1p.f64 y) (log.f64 x))) #s(literal 1/2 binary64)))
(*.f64 x (+.f64 y #s(literal 1 binary64)))
(fma.f64 x y x)
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (+.f64 (log1p.f64 y) (log.f64 x))) #s(literal 1/3 binary64)))
(*.f64 x (+.f64 y #s(literal 1 binary64)))
(fma.f64 x y x)
(fma.f64 x #s(literal 1 binary64) (*.f64 y x))
(*.f64 x (+.f64 y #s(literal 1 binary64)))
(fma.f64 x y x)
(fma.f64 #s(literal 1 binary64) x (*.f64 y x))
(*.f64 x (+.f64 y #s(literal 1 binary64)))
(fma.f64 x y x)
(fma.f64 (cbrt.f64 x) (cbrt.f64 (pow.f64 x #s(literal 2 binary64))) (*.f64 y x))
(fma.f64 (cbrt.f64 x) (cbrt.f64 (pow.f64 x #s(literal 2 binary64))) (*.f64 x y))
(fma.f64 (cbrt.f64 (pow.f64 x #s(literal 2 binary64))) (cbrt.f64 x) (*.f64 x y))
(fma.f64 (cbrt.f64 (pow.f64 x #s(literal 2 binary64))) (cbrt.f64 x) (*.f64 y x))
(fma.f64 (cbrt.f64 x) (cbrt.f64 (pow.f64 x #s(literal 2 binary64))) (*.f64 x y))
(fma.f64 (cbrt.f64 (pow.f64 x #s(literal 2 binary64))) (cbrt.f64 x) (*.f64 x y))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 y x))
(*.f64 x (+.f64 y #s(literal 1 binary64)))
(fma.f64 x y x)
(+.f64 #s(literal 0 binary64) (*.f64 x (fma.f64 y y y)))
(*.f64 x (fma.f64 y y y))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (fma.f64 y y y))) (cbrt.f64 (pow.f64 (exp.f64 x) (fma.f64 y y y))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (fma.f64 y y y)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (fma.f64 y y y)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (fma.f64 y y y)))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (fma.f64 y y y)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (fma.f64 y y y)))) #s(literal 1 binary64))
(*.f64 x (fma.f64 y y y))
(pow.f64 (*.f64 x (fma.f64 y y y)) #s(literal 1 binary64))
(*.f64 x (fma.f64 y y y))
(pow.f64 (cbrt.f64 (*.f64 x (fma.f64 y y y))) #s(literal 3 binary64))
(*.f64 x (fma.f64 y y y))
(pow.f64 (pow.f64 (*.f64 x (fma.f64 y y y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 x (fma.f64 y y y))
(pow.f64 (sqrt.f64 (*.f64 x (fma.f64 y y y))) #s(literal 2 binary64))
(*.f64 x (fma.f64 y y y))
(sqrt.f64 (pow.f64 (*.f64 x (fma.f64 y y y)) #s(literal 2 binary64)))
(*.f64 x (fma.f64 y y y))
(log.f64 (pow.f64 (exp.f64 x) (fma.f64 y y y)))
(*.f64 x (fma.f64 y y y))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (fma.f64 y y y)))))
(*.f64 x (fma.f64 y y y))
(cbrt.f64 (pow.f64 (*.f64 x (fma.f64 y y y)) #s(literal 3 binary64)))
(*.f64 x (fma.f64 y y y))
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 x (+.f64 y #s(literal 1 binary64))) #s(literal 3 binary64))))
(*.f64 x (fma.f64 y y y))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 x (+.f64 y #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(*.f64 x (fma.f64 y y y))
(expm1.f64 (log1p.f64 (*.f64 x (fma.f64 y y y))))
(*.f64 x (fma.f64 y y y))
(log1p.f64 (expm1.f64 (*.f64 x (fma.f64 y y y))))
(*.f64 x (fma.f64 y y y))
(exp.f64 (+.f64 (log1p.f64 y) (log.f64 (*.f64 y x))))
(*.f64 x (fma.f64 y y y))
(exp.f64 (*.f64 (+.f64 (log1p.f64 y) (log.f64 (*.f64 y x))) #s(literal 1 binary64)))
(*.f64 x (fma.f64 y y y))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x (fma.f64 y y y)))) #s(literal 3 binary64)))
(*.f64 x (fma.f64 y y y))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (+.f64 (log1p.f64 y) (log.f64 (*.f64 y x)))) #s(literal 1/3 binary64)))
(*.f64 x (fma.f64 y y y))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x (fma.f64 y y y)))) #s(literal 2 binary64)))
(*.f64 x (fma.f64 y y y))

eval132.0ms (3.7%)

Compiler

Compiled 4187 to 2658 computations (36.5% saved)

prune45.0ms (1.2%)

Pruning

5 alts after pruning (1 fresh and 4 done)

PrunedKeptTotal
New2721273
Fresh000
Picked123
Done022
Total2735278
Accuracy
100.0%
Counts
278 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶40.4%
(*.f64 y (pow.f64 (sqrt.f64 (*.f64 x (neg.f64 y))) #s(literal 2 binary64)))
✓99.9%
(*.f64 y (*.f64 x (-.f64 #s(literal 1 binary64) y)))
✓66.0%
(*.f64 y (*.f64 x (neg.f64 y)))
✓55.8%
(*.f64 y x)
✓91.9%
(*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y)))
Compiler

Compiled 42 to 28 computations (33.3% saved)

localize40.0ms (1.1%)

Localize:

Found 3 expressions with local error:

NewAccuracyProgram
✓99.9%
(*.f64 y (pow.f64 (sqrt.f64 (*.f64 x (neg.f64 y))) #s(literal 2 binary64)))
✓99.8%
(pow.f64 (sqrt.f64 (*.f64 x (neg.f64 y))) #s(literal 2 binary64))
✓86.8%
(sqrt.f64 (*.f64 x (neg.f64 y)))
Results
16.0ms131×0valid
13.0ms125×0invalid
Compiler

Compiled 33 to 12 computations (63.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
ival-pow: 5.0ms (39.9% of total)
ival-mult: 3.0ms (23.9% of total)
ival-sqrt: 2.0ms (16% of total)
const: 1.0ms (8% of total)
ival-neg: 1.0ms (8% of total)
backward-pass: 0.0ms (0% of total)

series88.0ms (2.4%)

Counts
3 → 72
Calls
Call 1
Inputs
#<alt (sqrt.f64 (*.f64 x (neg.f64 y)))>
#<alt (pow.f64 (sqrt.f64 (*.f64 x (neg.f64 y))) #s(literal 2 binary64))>
#<alt (*.f64 y (pow.f64 (sqrt.f64 (*.f64 x (neg.f64 y))) #s(literal 2 binary64)))>
Outputs
#<alt (*.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 #s(literal -1 binary64)))>
#<alt (*.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 #s(literal -1 binary64)))>
#<alt (*.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 #s(literal -1 binary64)))>
#<alt (*.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 #s(literal -1 binary64)))>
#<alt (*.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 #s(literal -1 binary64)))>
#<alt (*.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 #s(literal -1 binary64)))>
#<alt (*.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 #s(literal -1 binary64)))>
#<alt (*.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 #s(literal -1 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 #s(literal -1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 #s(literal -1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 #s(literal -1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 #s(literal -1 binary64))))>
#<alt (*.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 #s(literal -1 binary64)))>
#<alt (*.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 #s(literal -1 binary64)))>
#<alt (*.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 #s(literal -1 binary64)))>
#<alt (*.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 #s(literal -1 binary64)))>
#<alt (*.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 #s(literal -1 binary64)))>
#<alt (*.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 #s(literal -1 binary64)))>
#<alt (*.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 #s(literal -1 binary64)))>
#<alt (*.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 #s(literal -1 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 #s(literal -1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 #s(literal -1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 #s(literal -1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 #s(literal -1 binary64))))>
#<alt (*.f64 x (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 x (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 x (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 x (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 x (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 x (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 x (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 x (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))>
#<alt (*.f64 x (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 x (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 x (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 x (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 x (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 x (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 x (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 x (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))>
#<alt (*.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64))))>
Calls

18 calls:

TimeVariablePointExpression
78.0ms
x
@inf
(sqrt (* x (neg y)))
1.0ms
y
@0
(pow (sqrt (* x (neg y))) 2)
1.0ms
x
@0
(pow (sqrt (* x (neg y))) 2)
1.0ms
x
@0
(sqrt (* x (neg y)))
1.0ms
x
@0
(* y (pow (sqrt (* x (neg y))) 2))

rewrite80.0ms (2.2%)

Algorithm
1×batch-egg-rewrite
Rules
596×unpow-prod-down
435×log1p-expm1-u
435×expm1-log1p-u
415×add-exp-log
376×pow1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01464
115749
2163049
Stop Event
1×node limit
Counts
3 → 127
Calls
Call 1
Inputs
(sqrt.f64 (*.f64 x (neg.f64 y)))
(pow.f64 (sqrt.f64 (*.f64 x (neg.f64 y))) #s(literal 2 binary64))
(*.f64 y (pow.f64 (sqrt.f64 (*.f64 x (neg.f64 y))) #s(literal 2 binary64)))
Outputs
(+.f64 #s(literal 0 binary64) (sqrt.f64 (*.f64 x y)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 x y)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 x y))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (*.f64 x y))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (*.f64 x y))))))
(-.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 x y))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (*.f64 x y)) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (*.f64 x y)) (log.f64 (E.f64)))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 x y)))
(*.f64 (pow.f64 (*.f64 x y) #s(literal 1/6 binary64)) (cbrt.f64 (*.f64 x y)))
(*.f64 (cbrt.f64 (*.f64 x y)) (pow.f64 (*.f64 x y) #s(literal 1/6 binary64)))
(*.f64 (cbrt.f64 x) (pow.f64 (*.f64 y (sqrt.f64 (*.f64 x y))) #s(literal 1/3 binary64)))
(*.f64 (cbrt.f64 y) (pow.f64 (*.f64 x (sqrt.f64 (*.f64 x y))) #s(literal 1/3 binary64)))
(*.f64 (sqrt.f64 x) (sqrt.f64 y))
(*.f64 (pow.f64 (*.f64 x y) #s(literal 1/4 binary64)) (pow.f64 (*.f64 x y) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 y) (sqrt.f64 x))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)))) (pow.f64 (pow.f64 (*.f64 x y) #s(literal 5/6 binary64)) #s(literal 1/3 binary64)))
(*.f64 (sqrt.f64 (sqrt.f64 y)) (pow.f64 (*.f64 (sqrt.f64 y) x) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 x y)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (pow.f64 (*.f64 (cbrt.f64 y) x) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (pow.f64 (*.f64 (cbrt.f64 x) y) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (*.f64 y (sqrt.f64 x))))
(*.f64 (sqrt.f64 (*.f64 y (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x)))
(*.f64 (sqrt.f64 (pow.f64 (*.f64 x y) #s(literal 1/4 binary64))) (pow.f64 (pow.f64 (*.f64 x y) #s(literal 3/4 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (sqrt.f64 (*.f64 x y)))
(*.f64 (pow.f64 (pow.f64 (*.f64 x y) #s(literal 3/4 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 (pow.f64 (*.f64 x y) #s(literal 1/4 binary64))))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 1/2 binary64)) (sqrt.f64 y))
(*.f64 (pow.f64 (*.f64 x (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (sqrt.f64 (cbrt.f64 y)))
(*.f64 (pow.f64 (*.f64 x (sqrt.f64 y)) #s(literal 1/2 binary64)) (sqrt.f64 (sqrt.f64 y)))
(*.f64 (pow.f64 (*.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 y))
(*.f64 (pow.f64 (*.f64 y (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (sqrt.f64 (cbrt.f64 x)))
(*.f64 (pow.f64 (pow.f64 (*.f64 x y) #s(literal 5/6 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 (pow.f64 (*.f64 x y) #s(literal 1/6 binary64))))
(*.f64 (pow.f64 (pow.f64 (*.f64 (*.f64 x y) x) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 (sqrt.f64 y)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (pow.f64 (*.f64 x y) #s(literal 1/6 binary64))) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (*.f64 x y) #s(literal 1/6 binary64))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (*.f64 x y) #s(literal 1/6 binary64))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 4 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (pow.f64 (*.f64 x y) #s(literal 1/6 binary64))))
(*.f64 (pow.f64 (*.f64 (*.f64 x y) (sqrt.f64 x)) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 y)))
(*.f64 (pow.f64 (pow.f64 (*.f64 x y) #s(literal 5/4 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (pow.f64 (*.f64 x y) #s(literal 1/4 binary64))))
(pow.f64 (sqrt.f64 (*.f64 x y)) #s(literal 1 binary64))
(pow.f64 (*.f64 x y) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 x y) #s(literal 1/6 binary64)) #s(literal 3 binary64))
(pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 (*.f64 x y) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) #s(literal 1/6 binary64))
(pow.f64 (pow.f64 (*.f64 x y) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (E.f64) (log.f64 (sqrt.f64 (*.f64 x y))))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (*.f64 x y)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 (*.f64 x y)))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (sqrt.f64 (*.f64 x y)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (sqrt.f64 (*.f64 x y))))) (sqrt.f64 (log.f64 (sqrt.f64 (*.f64 x y)))))
(fabs.f64 (sqrt.f64 (*.f64 x y)))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 x y))))
(cbrt.f64 (pow.f64 (*.f64 x y) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 x y))))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 x y))))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 x y))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 x y) #s(literal 1/6 binary64))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3/2 binary64) (log.f64 (*.f64 x y))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 x y) #s(literal 1/4 binary64))) #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 x y))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (*.f64 x y))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (*.f64 x y)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 x y)))) (log.f64 (sqrt.f64 (exp.f64 (*.f64 x y)))))
(-.f64 #s(literal 0 binary64) (*.f64 x y))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x y)) #s(literal 1 binary64))
(*.f64 x y)
(*.f64 y x)
(*.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (*.f64 x y)))
(*.f64 (*.f64 x y) #s(literal 1 binary64))
(*.f64 (*.f64 x y) (log.f64 (E.f64)))
(*.f64 #s(literal 1 binary64) (*.f64 x y))
(*.f64 (cbrt.f64 (*.f64 x y)) (cbrt.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (*.f64 x y)) (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 4 binary64)) #s(literal 1/2 binary64)))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (cbrt.f64 (*.f64 x y)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) y))
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) x))
(*.f64 (sqrt.f64 x) (*.f64 y (sqrt.f64 x)))
(*.f64 (pow.f64 (*.f64 x y) #s(literal 1/4 binary64)) (pow.f64 (*.f64 x y) #s(literal 3/4 binary64)))
(*.f64 (*.f64 y (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) x))
(*.f64 (sqrt.f64 y) (pow.f64 (*.f64 x (*.f64 x y)) #s(literal 1/2 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 (neg.f64 x) y)
(*.f64 (*.f64 x (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y))
(*.f64 (*.f64 x (sqrt.f64 y)) (sqrt.f64 y))
(*.f64 (*.f64 x #s(literal -1 binary64)) y)
(*.f64 (*.f64 y (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x))
(*.f64 (pow.f64 (*.f64 x y) #s(literal 5/6 binary64)) (pow.f64 (*.f64 x y) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (*.f64 (*.f64 x y) x) #s(literal 1/2 binary64)) (sqrt.f64 y))
(*.f64 (pow.f64 (*.f64 x y) #s(literal 3/4 binary64)) (pow.f64 (*.f64 x y) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (*.f64 x y))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x y))) #s(literal 2 binary64)) #s(literal 3 binary64)) (cbrt.f64 (*.f64 x y)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 4 binary64)) #s(literal 1/2 binary64)) (cbrt.f64 (*.f64 x y)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 5 binary64)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 x y) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) x) #s(literal 1/3 binary64)) (cbrt.f64 y))
(*.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) y) #s(literal 1/3 binary64)) (cbrt.f64 x))
(*.f64 (pow.f64 (pow.f64 (*.f64 x y) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (pow.f64 (*.f64 x y) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 4 binary64)) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (*.f64 x y))))
(neg.f64 (*.f64 x y))
(sqrt.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)))
(log.f64 (exp.f64 (*.f64 x y)))
(cbrt.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x y)))
(log1p.f64 (expm1.f64 (*.f64 x y)))
(exp.f64 (log.f64 (*.f64 x y)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x y))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 (*.f64 x y))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 x y))) #s(literal 1/3 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (pow.f64 y #s(literal 2 binary64)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (pow.f64 y #s(literal 2 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (pow.f64 y #s(literal 2 binary64))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (pow.f64 y #s(literal 2 binary64))))))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 6 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 2 binary64))
(pow.f64 (E.f64) (log.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))))) (sqrt.f64 (log.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))))))
(neg.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))))
(sqrt.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 4 binary64)))
(log.f64 (pow.f64 (exp.f64 x) (pow.f64 y #s(literal 2 binary64))))
(cbrt.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 6 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))))
(exp.f64 (log.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 6 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 y (sqrt.f64 x))) #s(literal 2 binary64)))

simplify182.0ms (5%)

Algorithm
1×egg-herbie
Rules
619×prod-exp
560×associate-*r*
505×unswap-sqr
379×fma-neg
280×fma-define
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
03136528
15485382
210735280
336424900
477964900
Stop Event
1×node limit
Counts
199 → 175
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 #s(literal -1 binary64)))
(*.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 #s(literal -1 binary64)))
(*.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 #s(literal -1 binary64)))
(*.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 #s(literal -1 binary64)))
(*.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 #s(literal -1 binary64)))
(*.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 #s(literal -1 binary64)))
(*.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 #s(literal -1 binary64)))
(*.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 #s(literal -1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 #s(literal -1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 #s(literal -1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 #s(literal -1 binary64))))
(*.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 #s(literal -1 binary64)))
(*.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 #s(literal -1 binary64)))
(*.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 #s(literal -1 binary64)))
(*.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 #s(literal -1 binary64)))
(*.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 #s(literal -1 binary64)))
(*.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 #s(literal -1 binary64)))
(*.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 #s(literal -1 binary64)))
(*.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 #s(literal -1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 #s(literal -1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 #s(literal -1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 #s(literal -1 binary64))))
(*.f64 x (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 x (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 x (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 x (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 x (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 x (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 x (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 x (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 x (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 x (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 x (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 x (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 x (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 x (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 x (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 x (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64))))
(*.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64))))
(+.f64 #s(literal 0 binary64) (sqrt.f64 (*.f64 x y)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 x y)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 x y))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (*.f64 x y))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (*.f64 x y))))))
(-.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 x y))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (*.f64 x y)) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (*.f64 x y)) (log.f64 (E.f64)))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 x y)))
(*.f64 (pow.f64 (*.f64 x y) #s(literal 1/6 binary64)) (cbrt.f64 (*.f64 x y)))
(*.f64 (cbrt.f64 (*.f64 x y)) (pow.f64 (*.f64 x y) #s(literal 1/6 binary64)))
(*.f64 (cbrt.f64 x) (pow.f64 (*.f64 y (sqrt.f64 (*.f64 x y))) #s(literal 1/3 binary64)))
(*.f64 (cbrt.f64 y) (pow.f64 (*.f64 x (sqrt.f64 (*.f64 x y))) #s(literal 1/3 binary64)))
(*.f64 (sqrt.f64 x) (sqrt.f64 y))
(*.f64 (pow.f64 (*.f64 x y) #s(literal 1/4 binary64)) (pow.f64 (*.f64 x y) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 y) (sqrt.f64 x))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)))) (pow.f64 (pow.f64 (*.f64 x y) #s(literal 5/6 binary64)) #s(literal 1/3 binary64)))
(*.f64 (sqrt.f64 (sqrt.f64 y)) (pow.f64 (*.f64 (sqrt.f64 y) x) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 x y)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (pow.f64 (*.f64 (cbrt.f64 y) x) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (pow.f64 (*.f64 (cbrt.f64 x) y) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (*.f64 y (sqrt.f64 x))))
(*.f64 (sqrt.f64 (*.f64 y (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x)))
(*.f64 (sqrt.f64 (pow.f64 (*.f64 x y) #s(literal 1/4 binary64))) (pow.f64 (pow.f64 (*.f64 x y) #s(literal 3/4 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (sqrt.f64 (*.f64 x y)))
(*.f64 (pow.f64 (pow.f64 (*.f64 x y) #s(literal 3/4 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 (pow.f64 (*.f64 x y) #s(literal 1/4 binary64))))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 1/2 binary64)) (sqrt.f64 y))
(*.f64 (pow.f64 (*.f64 x (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (sqrt.f64 (cbrt.f64 y)))
(*.f64 (pow.f64 (*.f64 x (sqrt.f64 y)) #s(literal 1/2 binary64)) (sqrt.f64 (sqrt.f64 y)))
(*.f64 (pow.f64 (*.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 y))
(*.f64 (pow.f64 (*.f64 y (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (sqrt.f64 (cbrt.f64 x)))
(*.f64 (pow.f64 (pow.f64 (*.f64 x y) #s(literal 5/6 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 (pow.f64 (*.f64 x y) #s(literal 1/6 binary64))))
(*.f64 (pow.f64 (pow.f64 (*.f64 (*.f64 x y) x) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 (sqrt.f64 y)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (pow.f64 (*.f64 x y) #s(literal 1/6 binary64))) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (*.f64 x y) #s(literal 1/6 binary64))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (*.f64 x y) #s(literal 1/6 binary64))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 4 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (pow.f64 (*.f64 x y) #s(literal 1/6 binary64))))
(*.f64 (pow.f64 (*.f64 (*.f64 x y) (sqrt.f64 x)) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 y)))
(*.f64 (pow.f64 (pow.f64 (*.f64 x y) #s(literal 5/4 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (pow.f64 (*.f64 x y) #s(literal 1/4 binary64))))
(pow.f64 (sqrt.f64 (*.f64 x y)) #s(literal 1 binary64))
(pow.f64 (*.f64 x y) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 x y) #s(literal 1/6 binary64)) #s(literal 3 binary64))
(pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 (*.f64 x y) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) #s(literal 1/6 binary64))
(pow.f64 (pow.f64 (*.f64 x y) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (E.f64) (log.f64 (sqrt.f64 (*.f64 x y))))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (*.f64 x y)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 (*.f64 x y)))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (sqrt.f64 (*.f64 x y)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (sqrt.f64 (*.f64 x y))))) (sqrt.f64 (log.f64 (sqrt.f64 (*.f64 x y)))))
(fabs.f64 (sqrt.f64 (*.f64 x y)))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 x y))))
(cbrt.f64 (pow.f64 (*.f64 x y) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 x y))))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 x y))))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 x y))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 x y) #s(literal 1/6 binary64))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3/2 binary64) (log.f64 (*.f64 x y))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 x y) #s(literal 1/4 binary64))) #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 x y))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (*.f64 x y))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (*.f64 x y)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 x y)))) (log.f64 (sqrt.f64 (exp.f64 (*.f64 x y)))))
(-.f64 #s(literal 0 binary64) (*.f64 x y))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x y)) #s(literal 1 binary64))
(*.f64 x y)
(*.f64 y x)
(*.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (*.f64 x y)))
(*.f64 (*.f64 x y) #s(literal 1 binary64))
(*.f64 (*.f64 x y) (log.f64 (E.f64)))
(*.f64 #s(literal 1 binary64) (*.f64 x y))
(*.f64 (cbrt.f64 (*.f64 x y)) (cbrt.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (*.f64 x y)) (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 4 binary64)) #s(literal 1/2 binary64)))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (cbrt.f64 (*.f64 x y)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) y))
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) x))
(*.f64 (sqrt.f64 x) (*.f64 y (sqrt.f64 x)))
(*.f64 (pow.f64 (*.f64 x y) #s(literal 1/4 binary64)) (pow.f64 (*.f64 x y) #s(literal 3/4 binary64)))
(*.f64 (*.f64 y (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) x))
(*.f64 (sqrt.f64 y) (pow.f64 (*.f64 x (*.f64 x y)) #s(literal 1/2 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 (neg.f64 x) y)
(*.f64 (*.f64 x (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y))
(*.f64 (*.f64 x (sqrt.f64 y)) (sqrt.f64 y))
(*.f64 (*.f64 x #s(literal -1 binary64)) y)
(*.f64 (*.f64 y (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x))
(*.f64 (pow.f64 (*.f64 x y) #s(literal 5/6 binary64)) (pow.f64 (*.f64 x y) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (*.f64 (*.f64 x y) x) #s(literal 1/2 binary64)) (sqrt.f64 y))
(*.f64 (pow.f64 (*.f64 x y) #s(literal 3/4 binary64)) (pow.f64 (*.f64 x y) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (*.f64 x y))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x y))) #s(literal 2 binary64)) #s(literal 3 binary64)) (cbrt.f64 (*.f64 x y)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 4 binary64)) #s(literal 1/2 binary64)) (cbrt.f64 (*.f64 x y)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 5 binary64)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 x y) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) x) #s(literal 1/3 binary64)) (cbrt.f64 y))
(*.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) y) #s(literal 1/3 binary64)) (cbrt.f64 x))
(*.f64 (pow.f64 (pow.f64 (*.f64 x y) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (pow.f64 (*.f64 x y) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 4 binary64)) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (*.f64 x y))))
(neg.f64 (*.f64 x y))
(sqrt.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)))
(log.f64 (exp.f64 (*.f64 x y)))
(cbrt.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x y)))
(log1p.f64 (expm1.f64 (*.f64 x y)))
(exp.f64 (log.f64 (*.f64 x y)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x y))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 (*.f64 x y))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 x y))) #s(literal 1/3 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (pow.f64 y #s(literal 2 binary64)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (pow.f64 y #s(literal 2 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (pow.f64 y #s(literal 2 binary64))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (pow.f64 y #s(literal 2 binary64))))))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 6 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 2 binary64))
(pow.f64 (E.f64) (log.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))))) (sqrt.f64 (log.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))))))
(neg.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))))
(sqrt.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 4 binary64)))
(log.f64 (pow.f64 (exp.f64 x) (pow.f64 y #s(literal 2 binary64))))
(cbrt.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 6 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))))
(exp.f64 (log.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 6 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 y (sqrt.f64 x))) #s(literal 2 binary64)))
Outputs
(*.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 #s(literal -1 binary64)))
(*.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 #s(literal -1 binary64)))
(*.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 #s(literal -1 binary64)))
(*.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 #s(literal -1 binary64)))
(*.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 #s(literal -1 binary64)))
(*.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 #s(literal -1 binary64)))
(*.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 #s(literal -1 binary64)))
(*.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 #s(literal -1 binary64))))
(neg.f64 (*.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 #s(literal -1 binary64))))
(*.f64 (sqrt.f64 (*.f64 x y)) (neg.f64 (sqrt.f64 #s(literal -1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 #s(literal -1 binary64))))
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(pow.f64 (cbrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))) #s(literal 3 binary64))
(*.f64 x (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))
(*.f64 x (neg.f64 (pow.f64 y #s(literal 2 binary64))))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(pow.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 4 binary64)) #s(literal 1/2 binary64))
(sqrt.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 4 binary64)))
(pow.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 6 binary64)) #s(literal 1/3 binary64))
(cbrt.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 6 binary64)))
(pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 2 binary64))
(*.f64 x (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))
(*.f64 x (neg.f64 (pow.f64 y #s(literal 2 binary64))))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(pow.f64 (E.f64) (log.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))))) (sqrt.f64 (log.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))))))
(neg.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))))
(*.f64 x (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))
(*.f64 x (neg.f64 (pow.f64 y #s(literal 2 binary64))))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(sqrt.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 4 binary64)))
(log.f64 (pow.f64 (exp.f64 x) (pow.f64 y #s(literal 2 binary64))))
(*.f64 x (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))
(*.f64 x (neg.f64 (pow.f64 y #s(literal 2 binary64))))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(cbrt.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 6 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))))
(*.f64 x (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))
(*.f64 x (neg.f64 (pow.f64 y #s(literal 2 binary64))))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(log1p.f64 (expm1.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))))
(*.f64 x (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))
(*.f64 x (neg.f64 (pow.f64 y #s(literal 2 binary64))))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(exp.f64 (log.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))))
(*.f64 x (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))
(*.f64 x (neg.f64 (pow.f64 y #s(literal 2 binary64))))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))))) #s(literal 3 binary64)))
(*.f64 x (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))
(*.f64 x (neg.f64 (pow.f64 y #s(literal 2 binary64))))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 6 binary64))) #s(literal 1/3 binary64)))
(cbrt.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 6 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 y (sqrt.f64 x))) #s(literal 2 binary64)))
(*.f64 x (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))
(*.f64 x (neg.f64 (pow.f64 y #s(literal 2 binary64))))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))

eval30.0ms (0.8%)

Compiler

Compiled 2106 to 1094 computations (48.1% saved)

prune27.0ms (0.8%)

Pruning

5 alts after pruning (0 fresh and 5 done)

PrunedKeptTotal
New1750175
Fresh000
Picked011
Done044
Total1755180
Accuracy
100.0%
Counts
180 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓40.4%
(*.f64 y (pow.f64 (sqrt.f64 (*.f64 x (neg.f64 y))) #s(literal 2 binary64)))
✓99.9%
(*.f64 y (*.f64 x (-.f64 #s(literal 1 binary64) y)))
✓66.0%
(*.f64 y (*.f64 x (neg.f64 y)))
✓55.8%
(*.f64 y x)
✓91.9%
(*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y)))
Compiler

Compiled 93 to 57 computations (38.7% saved)

regimes12.0ms (0.3%)

Counts
7 → 1
Calls
Call 1
Inputs
(*.f64 y x)
(*.f64 y (*.f64 x (neg.f64 y)))
(*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y)))
(*.f64 y (*.f64 x (-.f64 #s(literal 1 binary64) y)))
(*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y))
(*.f64 y (pow.f64 (sqrt.f64 (*.f64 x (neg.f64 y))) #s(literal 2 binary64)))
(*.f64 y (pow.f64 (sqrt.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y))) #s(literal 2 binary64)))
Outputs
(*.f64 y (*.f64 x (-.f64 #s(literal 1 binary64) y)))
Calls

3 calls:

4.0ms
(*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y))
4.0ms
x
4.0ms
y
Results
AccuracySegmentsBranch
99.9%1x
99.9%1y
99.9%1(*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y))
Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes7.0ms (0.2%)

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

2 calls:

5.0ms
y
2.0ms
x
Results
AccuracySegmentsBranch
93.5%2x
99.1%3y
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes2.0ms (0.1%)

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

1 calls:

2.0ms
y
Results
AccuracySegmentsBranch
96.7%3y
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes3.0ms (0.1%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

2 calls:

1.0ms
y
1.0ms
x
Results
AccuracySegmentsBranch
55.8%1x
55.8%1y
Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch15.0ms (0.4%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
8.0ms
478.728106933356
2279.099413073122
6.0ms
-2.7768367782478284e+162
-1.7084808280075914e+162
Results
8.0ms160×0valid
Compiler

Compiled 204 to 140 computations (31.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-mult: 2.0ms (49.3% of total)
ival-sub: 1.0ms (24.7% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch33.0ms (0.9%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
10.0ms
0.05668315871570412
478.728106933356
15.0ms
-1.1781934003557676e+62
-2.4752407887842672e+27
Results
14.0ms304×0valid
Compiler

Compiled 299 to 200 computations (33.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-mult: 5.0ms (74.6% of total)
ival-sub: 2.0ms (29.8% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

simplify6.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
12×*-commutative
5×sub-neg
5×neg-sub0
5×neg-mul-1
5×+-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
032196
158196
270196
381196
486196
588196
Stop Event
1×saturated
Calls
Call 1
Inputs
(*.f64 y (*.f64 x (-.f64 #s(literal 1 binary64) y)))
(if (<=.f64 y #s(literal -1720000000000000004985364220885365215011347990022105332876004976499585724069853237261034574078553889919798698745210292733671157992736241430367791009298813787570176 binary64)) (*.f64 y (*.f64 x (neg.f64 y))) (if (<=.f64 y #s(literal 2250 binary64)) (*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y))) (*.f64 y (*.f64 x (neg.f64 y)))))
(if (<=.f64 y #s(literal -2499999999999999895779934208 binary64)) (*.f64 y (*.f64 x (neg.f64 y))) (if (<=.f64 y #s(literal 1 binary64)) (*.f64 y x) (*.f64 y (*.f64 x (neg.f64 y)))))
(*.f64 y x)
Outputs
(*.f64 y (*.f64 x (-.f64 #s(literal 1 binary64) y)))
(if (<=.f64 y #s(literal -1720000000000000004985364220885365215011347990022105332876004976499585724069853237261034574078553889919798698745210292733671157992736241430367791009298813787570176 binary64)) (*.f64 y (*.f64 x (neg.f64 y))) (if (<=.f64 y #s(literal 2250 binary64)) (*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y))) (*.f64 y (*.f64 x (neg.f64 y)))))
(if (or (<=.f64 y #s(literal -1720000000000000004985364220885365215011347990022105332876004976499585724069853237261034574078553889919798698745210292733671157992736241430367791009298813787570176 binary64)) (not (<=.f64 y #s(literal 2250 binary64)))) (*.f64 y (*.f64 x (neg.f64 y))) (*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y))))
(if (or (<=.f64 y #s(literal -1720000000000000004985364220885365215011347990022105332876004976499585724069853237261034574078553889919798698745210292733671157992736241430367791009298813787570176 binary64)) (not (<=.f64 y #s(literal 2250 binary64)))) (*.f64 y (*.f64 y (neg.f64 x))) (*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y))))
(if (<=.f64 y #s(literal -2499999999999999895779934208 binary64)) (*.f64 y (*.f64 x (neg.f64 y))) (if (<=.f64 y #s(literal 1 binary64)) (*.f64 y x) (*.f64 y (*.f64 x (neg.f64 y)))))
(if (or (<=.f64 y #s(literal -2499999999999999895779934208 binary64)) (not (<=.f64 y #s(literal 1 binary64)))) (*.f64 y (*.f64 x (neg.f64 y))) (*.f64 y x))
(if (or (<=.f64 y #s(literal -2499999999999999895779934208 binary64)) (not (<=.f64 y #s(literal 1 binary64)))) (*.f64 y (*.f64 y (neg.f64 x))) (*.f64 y x))
(*.f64 y x)

soundness368.0ms (10.2%)

Rules
834×fma-define
631×fma-neg
439×unswap-sqr
414×distribute-lft-in
407×fma-neg
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02655630
15415622
213315606
357225582
024220
169204
2234196
3802195
41698195
52449195
62693195
72694195
82694195
Stop Event
1×done
1×saturated
1×node limit
Compiler

Compiled 112 to 63 computations (43.8% saved)

preprocess110.0ms (3%)

Remove

(negabs x)

Compiler

Compiled 176 to 104 computations (40.9% saved)

end0.0ms (0%)

Profiling

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