Numeric.Log:$cexpm1 from log-domain-0.10.2.1, B

Time bar (total: 5.0s)

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
Results
Compiler

Compiled 10 to 6 computations (40% saved)

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

sample1.4s (27.8%)

Results
1.2s7275×256valid
146.0ms980×256infinite
0.0ms1×512valid
Precisions
Click to see histograms. Total time spent on operations: 333.0ms
Operation ival-add, time spent: 176.0ms, 53.0% of total-time
Operation ival-mult, time spent: 140.0ms, 42.0% of total-time
Operation const, time spent: 17.0ms, 5.0% of total-time
Bogosity

preprocess294.0ms (5.9%)

Algorithm
1×egg-herbie
Rules
569×fma-neg
422×fma-define
84×cancel-sign-sub-inv
77×unsub-neg
69×distribute-rgt-in
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(*.f64 x y)
00-0-x
00-0-(+.f64 (+.f64 (*.f64 x y) x) y)
00-0-(+.f64 (*.f64 x y) x)
00-0-y
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
024221
170209
2201177
3660171
41501168
52144168
62257168
72261168
Stop Event
1×saturated
Calls
Call 1
Inputs
(+.f64 (+.f64 (*.f64 x y) x) y)
(+.f64 (+.f64 (*.f64 x y) x) y)
(+.f64 (+.f64 (*.f64 (neg.f64 x) y) (neg.f64 x)) y)
(+.f64 (+.f64 (*.f64 x (neg.f64 y)) x) (neg.f64 y))
(neg.f64 (+.f64 (+.f64 (*.f64 (neg.f64 x) y) (neg.f64 x)) y))
(neg.f64 (+.f64 (+.f64 (*.f64 x (neg.f64 y)) x) (neg.f64 y)))
(+.f64 (+.f64 (*.f64 y x) y) x)
Outputs
(+.f64 (+.f64 (*.f64 x y) x) y)
(+.f64 y (fma.f64 x y x))
(+.f64 x (fma.f64 x y y))
(fma.f64 (+.f64 y #s(literal 1 binary64)) x y)
(fma.f64 x (+.f64 y #s(literal 1 binary64)) y)
(+.f64 (+.f64 (*.f64 x y) x) y)
(+.f64 y (fma.f64 x y x))
(+.f64 x (fma.f64 x y y))
(fma.f64 (+.f64 y #s(literal 1 binary64)) x y)
(fma.f64 x (+.f64 y #s(literal 1 binary64)) y)
(+.f64 (+.f64 (*.f64 (neg.f64 x) y) (neg.f64 x)) y)
(+.f64 y (-.f64 (*.f64 x (neg.f64 y)) x))
(+.f64 y (neg.f64 (fma.f64 x y x)))
(fma.f64 x (-.f64 #s(literal -1 binary64) y) y)
(+.f64 (+.f64 (*.f64 x (neg.f64 y)) x) (neg.f64 y))
(-.f64 (fma.f64 x (neg.f64 y) x) y)
(-.f64 (-.f64 x (*.f64 x y)) y)
(-.f64 x (fma.f64 x y y))
(fma.f64 y (-.f64 #s(literal -1 binary64) x) x)
(neg.f64 (+.f64 (+.f64 (*.f64 (neg.f64 x) y) (neg.f64 x)) y))
(neg.f64 (+.f64 y (-.f64 (*.f64 x (neg.f64 y)) x)))
(-.f64 (neg.f64 y) (neg.f64 (fma.f64 x y x)))
(-.f64 (fma.f64 x y x) y)
(fma.f64 x y (-.f64 x y))
(fma.f64 y (+.f64 x #s(literal -1 binary64)) x)
(neg.f64 (+.f64 (+.f64 (*.f64 x (neg.f64 y)) x) (neg.f64 y)))
(neg.f64 (-.f64 (fma.f64 x (neg.f64 y) x) y))
(-.f64 y (-.f64 x (*.f64 x y)))
(-.f64 (fma.f64 x y y) x)
(fma.f64 (+.f64 y #s(literal -1 binary64)) x y)
(fma.f64 x (+.f64 y #s(literal -1 binary64)) y)
(+.f64 (+.f64 (*.f64 y x) y) x)
(+.f64 y (fma.f64 x y x))
(+.f64 x (fma.f64 x y y))
(fma.f64 (+.f64 y #s(literal 1 binary64)) x y)
(fma.f64 x (+.f64 y #s(literal 1 binary64)) y)
Symmetry

(sort x y)

Results
Compiler

Compiled 49 to 17 computations (65.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 19.0ms
Operation ival-add, time spent: 11.0ms, 57.0% of total-time
Operation ival-mult, time spent: 7.0ms, 36.0% of total-time
Operation const, time spent: 1.0ms, 5.0% of total-time

eval1.0ms (0%)

Results
Compiler

Compiled 26 to 12 computations (53.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 0ms

prune5.0ms (0.1%)

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

Compiled 17 to 10 computations (41.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 0ms

localize86.0ms (1.7%)

Localize:

Found 2 expressions with local error:

NewAccuracyProgram
✓100.0%
(+.f64 (*.f64 x y) x)
✓100.0%
(+.f64 (+.f64 (*.f64 x y) x) y)
Results
Compiler

Compiled 32 to 12 computations (62.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 32.0ms
Operation ival-add, time spent: 14.0ms, 43.0% of total-time
Operation composed, time spent: 9.0ms, 28.0% of total-time
Operation ival-mult, time spent: 7.0ms, 22.0% of total-time
Operation const, time spent: 1.0ms, 3.0% of total-time

series14.0ms (0.3%)

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

12 calls:

TimeVariablePointExpression
4.0ms
x
@-inf
(+ (+ (* x y) x) y)
1.0ms
y
@-inf
(+ (+ (* x y) x) y)
1.0ms
x
@inf
(+ (+ (* x y) x) y)
1.0ms
y
@inf
(+ (+ (* x y) x) y)
1.0ms
x
@0
(+ (+ (* x y) x) y)
Results
Precisions
Click to see histograms. Total time spent on operations: 0ms

rewrite428.0ms (8.5%)

Algorithm
1×batch-egg-rewrite
Rules
751×log1p-expm1-u
751×expm1-log1p-u
636×unpow-prod-down
539×fma-define
324×log-prod
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01045
113045
2200542
Stop Event
1×node limit
Counts
2 → 203
Calls
Call 1
Inputs
(+.f64 (+.f64 (*.f64 x y) x) y)
(+.f64 (*.f64 x y) x)
Outputs
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x (+.f64 #s(literal 1 binary64) y) y))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (fma.f64 x y x) #s(literal 2 binary64)) (-.f64 (fma.f64 x y x) y)) (/.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (fma.f64 x y x) y)))
(*.f64 (fma.f64 x (+.f64 #s(literal 1 binary64) y) y) #s(literal 1 binary64))
(*.f64 (fma.f64 x (+.f64 #s(literal 1 binary64) y) y) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 #s(literal 1 binary64) y) y))
(*.f64 (cbrt.f64 (fma.f64 x (+.f64 #s(literal 1 binary64) y) y)) (pow.f64 (cbrt.f64 (fma.f64 x (+.f64 #s(literal 1 binary64) y) y)) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (fma.f64 x (+.f64 #s(literal 1 binary64) y) y)) (pow.f64 (pow.f64 (fma.f64 x (+.f64 #s(literal 1 binary64) y) y) #s(literal 2 binary64)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x (+.f64 #s(literal 1 binary64) y) y)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x (+.f64 #s(literal 1 binary64) y) y)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x (+.f64 #s(literal 1 binary64) y) y)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x (+.f64 #s(literal 1 binary64) y) y))) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 (fma.f64 x (+.f64 #s(literal 1 binary64) y) y)) (sqrt.f64 (fma.f64 x (+.f64 #s(literal 1 binary64) y) y)))
(*.f64 (+.f64 (pow.f64 (fma.f64 x y x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y (fma.f64 x y x)) (pow.f64 (fma.f64 x y x) #s(literal 2 binary64)))))
(*.f64 (+.f64 (pow.f64 (fma.f64 x y x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y (fma.f64 x y x)) (pow.f64 (fma.f64 x y x) #s(literal 2 binary64)))) #s(literal 1 binary64)))
(*.f64 (-.f64 (pow.f64 (fma.f64 x y x) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x y x) y)))
(*.f64 (-.f64 (pow.f64 (fma.f64 x y x) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x y x) y)) #s(literal 1 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (fma.f64 x (+.f64 #s(literal 1 binary64) y) y))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x (+.f64 #s(literal 1 binary64) y) y)) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (+.f64 #s(literal 1 binary64) y) y))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x (+.f64 #s(literal 1 binary64) y) y))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x (+.f64 #s(literal 1 binary64) y) y))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (+.f64 #s(literal 1 binary64) y) y))) (cbrt.f64 (cbrt.f64 (fma.f64 x (+.f64 #s(literal 1 binary64) y) y)))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (+.f64 #s(literal 1 binary64) y) y))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x (+.f64 #s(literal 1 binary64) y) y))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x (+.f64 #s(literal 1 binary64) y) y))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (pow.f64 (fma.f64 x (+.f64 #s(literal 1 binary64) y) y) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (fma.f64 x (+.f64 #s(literal 1 binary64) y) y)))
(*.f64 (pow.f64 (*.f64 (fma.f64 x (+.f64 #s(literal 1 binary64) y) y) (sqrt.f64 (fma.f64 x (+.f64 #s(literal 1 binary64) y) y))) #s(literal 1/3 binary64)) (pow.f64 (*.f64 (fma.f64 x (+.f64 #s(literal 1 binary64) y) y) (sqrt.f64 (fma.f64 x (+.f64 #s(literal 1 binary64) y) y))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 x (+.f64 #s(literal 1 binary64) y) y) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 x (+.f64 #s(literal 1 binary64) y) y) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (*.f64 (pow.f64 (fma.f64 x (+.f64 #s(literal 1 binary64) y) y) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (fma.f64 x (+.f64 #s(literal 1 binary64) y) y)) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (pow.f64 (cbrt.f64 (fma.f64 x (+.f64 #s(literal 1 binary64) y) y)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (*.f64 (pow.f64 (fma.f64 x (+.f64 #s(literal 1 binary64) y) y) #s(literal 2 binary64)) (sqrt.f64 (fma.f64 x (+.f64 #s(literal 1 binary64) y) y))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (fma.f64 x (+.f64 #s(literal 1 binary64) y) y)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x (+.f64 #s(literal 1 binary64) y) y)) #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x (+.f64 #s(literal 1 binary64) y) y))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x (+.f64 #s(literal 1 binary64) y) y))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x (+.f64 #s(literal 1 binary64) y) y))) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (-.f64 y (fma.f64 x y x)) (pow.f64 (fma.f64 x y x) #s(literal 2 binary64))) (+.f64 (pow.f64 (fma.f64 x y x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 x y x) y) (-.f64 (pow.f64 (fma.f64 x y x) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (fma.f64 x y x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y (-.f64 y (fma.f64 x y x)) (pow.f64 (fma.f64 x y x) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (fma.f64 x y x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y y (-.f64 (pow.f64 (fma.f64 x y x) #s(literal 2 binary64)) (*.f64 y (fma.f64 x y x)))))
(/.f64 (-.f64 (pow.f64 (fma.f64 x y x) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (-.f64 (fma.f64 x y x) y))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 x y x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 y (-.f64 y (fma.f64 x y x)) (pow.f64 (fma.f64 x y x) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 x y x) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (neg.f64 (-.f64 (fma.f64 x y x) y)))
(/.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 (+.f64 x y) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (-.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (*.f64 (*.f64 x y) (+.f64 x y)))))
(/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (fma.f64 x y x) #s(literal 2 binary64))) (-.f64 y (fma.f64 x y x)))
(/.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 (+.f64 x y) (+.f64 x y))) (fma.f64 x y (neg.f64 (+.f64 x y))))
(pow.f64 (fma.f64 x (+.f64 #s(literal 1 binary64) y) y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 x (+.f64 #s(literal 1 binary64) y) y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 x (+.f64 #s(literal 1 binary64) y) y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 x (+.f64 #s(literal 1 binary64) y) y)) #s(literal 2 binary64))
(pow.f64 (/.f64 (fma.f64 y (-.f64 y (fma.f64 x y x)) (pow.f64 (fma.f64 x y x) #s(literal 2 binary64))) (+.f64 (pow.f64 (fma.f64 x y x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 (fma.f64 x y x) y) (-.f64 (pow.f64 (fma.f64 x y x) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) #s(literal -1 binary64))
(sqrt.f64 (pow.f64 (fma.f64 x (+.f64 #s(literal 1 binary64) y) y) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 x (+.f64 #s(literal 1 binary64) y) y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x (+.f64 #s(literal 1 binary64) y) y))))
(log.f64 (*.f64 (exp.f64 y) (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x y x)))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 y)) (exp.f64 (fma.f64 x y x))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 y)) (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x y x)))))
(log.f64 (*.f64 (pow.f64 (exp.f64 x) y) (*.f64 (exp.f64 x) (exp.f64 y))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x y))) (*.f64 (exp.f64 x) (exp.f64 y))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x y))) (exp.f64 (+.f64 x y))))
(log.f64 (*.f64 (exp.f64 (fma.f64 x y x)) (+.f64 #s(literal 1 binary64) (expm1.f64 y))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x y x))) (exp.f64 y)))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x y x))) (+.f64 #s(literal 1 binary64) (expm1.f64 y))))
(log.f64 (*.f64 (*.f64 (exp.f64 x) (exp.f64 y)) (pow.f64 (exp.f64 x) y)))
(log.f64 (*.f64 (*.f64 (exp.f64 x) (exp.f64 y)) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x y)))))
(log.f64 (*.f64 (exp.f64 (+.f64 x y)) (pow.f64 (exp.f64 x) y)))
(log.f64 (*.f64 (exp.f64 (+.f64 x y)) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x y)))))
(cbrt.f64 (pow.f64 (fma.f64 x (+.f64 #s(literal 1 binary64) y) y) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 x (+.f64 #s(literal 1 binary64) y) y)))
(log1p.f64 (expm1.f64 (fma.f64 x (+.f64 #s(literal 1 binary64) y) y)))
(exp.f64 (log.f64 (fma.f64 x (+.f64 #s(literal 1 binary64) y) y)))
(exp.f64 (*.f64 (log.f64 (fma.f64 x (+.f64 #s(literal 1 binary64) y) y)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 x (+.f64 #s(literal 1 binary64) y) y))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (fma.f64 x (+.f64 #s(literal 1 binary64) y) y))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x (+.f64 #s(literal 1 binary64) y) y))) #s(literal 2 binary64)))
(fma.f64 x y (+.f64 x y))
(fma.f64 x y (*.f64 (+.f64 x y) #s(literal 1 binary64)))
(fma.f64 x #s(literal 1 binary64) (fma.f64 x y y))
(fma.f64 x (+.f64 #s(literal 1 binary64) y) y)
(fma.f64 x (+.f64 y #s(literal 1 binary64)) y)
(fma.f64 y x (+.f64 x y))
(fma.f64 y x (*.f64 (+.f64 x y) #s(literal 1 binary64)))
(fma.f64 y #s(literal 1 binary64) (fma.f64 x y x))
(fma.f64 (*.f64 x y) #s(literal 1 binary64) (+.f64 x y))
(fma.f64 (*.f64 x y) #s(literal 1 binary64) (*.f64 (+.f64 x y) #s(literal 1 binary64)))
(fma.f64 (fma.f64 x y x) #s(literal 1 binary64) y)
(fma.f64 #s(literal 1 binary64) x (fma.f64 x y y))
(fma.f64 #s(literal 1 binary64) y (fma.f64 x y x))
(fma.f64 #s(literal 1 binary64) (*.f64 x y) (+.f64 x y))
(fma.f64 #s(literal 1 binary64) (*.f64 x y) (*.f64 (+.f64 x y) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (fma.f64 x y x) y)
(fma.f64 #s(literal 1 binary64) (+.f64 x y) (*.f64 x y))
(fma.f64 (cbrt.f64 (fma.f64 x y x)) (pow.f64 (cbrt.f64 (fma.f64 x y x)) #s(literal 2 binary64)) y)
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x y x)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x y x)) y)
(fma.f64 (cbrt.f64 (*.f64 x y)) (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (+.f64 x y))
(fma.f64 (cbrt.f64 (*.f64 x y)) (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (*.f64 (+.f64 x y) #s(literal 1 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x y)) (+.f64 x y))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x y)) (*.f64 (+.f64 x y) #s(literal 1 binary64)))
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (fma.f64 x y y))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (fma.f64 x y y))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) y) (+.f64 x y))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) y) (*.f64 (+.f64 x y) #s(literal 1 binary64)))
(fma.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (fma.f64 x y x))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 y) (fma.f64 x y x))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) x) (+.f64 x y))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) x) (*.f64 (+.f64 x y) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 (fma.f64 x y x)) (sqrt.f64 (fma.f64 x y x)) y)
(fma.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (*.f64 x y)) (+.f64 x y))
(fma.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (*.f64 x y)) (*.f64 (+.f64 x y) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (fma.f64 x y y))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) y) (+.f64 x y))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) y) (*.f64 (+.f64 x y) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) (fma.f64 x y x))
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) x) (+.f64 x y))
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) x) (*.f64 (+.f64 x y) #s(literal 1 binary64)))
(fma.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x (*.f64 x y)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))) y)
(fma.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 x (-.f64 y #s(literal 1 binary64)))) y)
(fma.f64 (*.f64 (cbrt.f64 (+.f64 x y)) (cbrt.f64 (+.f64 x y))) (cbrt.f64 (+.f64 x y)) (*.f64 x y))
(fma.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (+.f64 x y)) (*.f64 x y))
(fma.f64 (+.f64 y #s(literal 1 binary64)) x y)
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (+.f64 x y))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (*.f64 (+.f64 x y) #s(literal 1 binary64)))
(fma.f64 (*.f64 x (sqrt.f64 y)) (sqrt.f64 y) (+.f64 x y))
(fma.f64 (*.f64 x (sqrt.f64 y)) (sqrt.f64 y) (*.f64 (+.f64 x y) #s(literal 1 binary64)))
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (+.f64 x y))
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (*.f64 (+.f64 x y) #s(literal 1 binary64)))
(fma.f64 (*.f64 y (sqrt.f64 x)) (sqrt.f64 x) (+.f64 x y))
(fma.f64 (*.f64 y (sqrt.f64 x)) (sqrt.f64 x) (*.f64 (+.f64 x y) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x y x))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 x (-.f64 y #s(literal 1 binary64)))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 x (-.f64 y #s(literal 1 binary64)))))
(*.f64 x (+.f64 #s(literal 1 binary64) y))
(*.f64 x (+.f64 y #s(literal 1 binary64)))
(*.f64 x (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)))
(*.f64 x (pow.f64 (+.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (fma.f64 x y x) #s(literal 1 binary64))
(*.f64 (fma.f64 x y x) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (fma.f64 x y x))
(*.f64 (cbrt.f64 (fma.f64 x y x)) (pow.f64 (cbrt.f64 (fma.f64 x y x)) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (fma.f64 x y x)) (pow.f64 (pow.f64 (fma.f64 x y x) #s(literal 2 binary64)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x y x)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x y x)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x y x)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x y x))) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 (fma.f64 x y x)) (sqrt.f64 (fma.f64 x y x)))
(*.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x (*.f64 x y)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))))
(*.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x (*.f64 x y)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))) #s(literal 1 binary64)))
(*.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 x (-.f64 y #s(literal 1 binary64)))))
(*.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (-.f64 y #s(literal 1 binary64)))) #s(literal 1 binary64)))
(*.f64 (+.f64 y #s(literal 1 binary64)) x)
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (fma.f64 x y x))
(*.f64 (pow.f64 (+.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)) x)
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x y x)) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x y x))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x y x))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x y x))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x y x))) (cbrt.f64 (cbrt.f64 (fma.f64 x y x)))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x y x))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x y x))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x y x))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (pow.f64 (fma.f64 x y x) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (fma.f64 x y x)))
(*.f64 (pow.f64 (pow.f64 (fma.f64 x y x) #s(literal 3/2 binary64)) #s(literal 1/3 binary64)) (pow.f64 (pow.f64 (fma.f64 x y x) #s(literal 3/2 binary64)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (*.f64 (fma.f64 x y x) (sqrt.f64 (fma.f64 x y x))) #s(literal 1/3 binary64)) (pow.f64 (*.f64 (fma.f64 x y x) (sqrt.f64 (fma.f64 x y x))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 x y x) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 x y x) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (*.f64 (pow.f64 (fma.f64 x y x) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (fma.f64 x y x)) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (pow.f64 (cbrt.f64 (fma.f64 x y x)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (*.f64 (pow.f64 (fma.f64 x y x) #s(literal 2 binary64)) (sqrt.f64 (fma.f64 x y x))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (fma.f64 x y x)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x y x)) #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x y x))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x y x))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x y x))) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x (*.f64 x y)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x (-.f64 x (*.f64 x y)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 y (pow.f64 x #s(literal 2 binary64))))))
(/.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (*.f64 x (-.f64 y #s(literal 1 binary64))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (-.f64 x (*.f64 x y)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (neg.f64 (*.f64 x (-.f64 y #s(literal 1 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (-.f64 x (*.f64 x y)))
(pow.f64 (fma.f64 x y x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 x y x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 x y x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 x y x)) #s(literal 2 binary64))
(pow.f64 (/.f64 (fma.f64 x (-.f64 x (*.f64 x y)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) #s(literal -1 binary64))
(sqrt.f64 (pow.f64 (fma.f64 x y x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 x y x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x y x))))
(log.f64 (*.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x y)))))
(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 x y)))))
(log.f64 (*.f64 (pow.f64 (exp.f64 x) y) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x y))) (exp.f64 x)))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x y))) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(cbrt.f64 (pow.f64 (fma.f64 x y x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 x y x)))
(log1p.f64 (expm1.f64 (fma.f64 x y x)))
(exp.f64 (+.f64 (log.f64 x) (log1p.f64 y)))
(exp.f64 (*.f64 (+.f64 (log.f64 x) (log1p.f64 y)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 x y x))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (+.f64 (log.f64 x) (log1p.f64 y))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x y x))) #s(literal 2 binary64)))
(fma.f64 x y x)
(fma.f64 x #s(literal 1 binary64) (*.f64 x y))
(fma.f64 y x x)
(fma.f64 (*.f64 x y) #s(literal 1 binary64) x)
(fma.f64 #s(literal 1 binary64) x (*.f64 x y))
(fma.f64 #s(literal 1 binary64) (*.f64 x y) x)
(fma.f64 (cbrt.f64 (*.f64 x y)) (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) x)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x y)) x)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 x y))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (*.f64 x y))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) y) x)
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) x) x)
(fma.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (*.f64 x y)) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 x y))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) y) x)
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) x) x)
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) x)
(fma.f64 (*.f64 x (sqrt.f64 y)) (sqrt.f64 y) x)
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) x)
(fma.f64 (*.f64 y (sqrt.f64 x)) (sqrt.f64 x) x)
Results
Precisions
Click to see histograms. Total time spent on operations: 0ms

simplify411.0ms (8.2%)

Algorithm
1×egg-herbie
Rules
922×times-frac
544×distribute-lft-in
383×cancel-sign-sub-inv
311×fma-neg
304×unswap-sqr
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04658522
110508345
228408157
Stop Event
1×node limit
Counts
251 → 275
Calls
Call 1
Inputs
y
(+.f64 y (*.f64 x (+.f64 #s(literal 1 binary64) y)))
(+.f64 y (*.f64 x (+.f64 #s(literal 1 binary64) y)))
(+.f64 y (*.f64 x (+.f64 #s(literal 1 binary64) y)))
(*.f64 x (+.f64 #s(literal 1 binary64) y))
(*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 y (/.f64 y x))))
(*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 y (/.f64 y x))))
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(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (*.f64 (+.f64 x y) #s(literal 1 binary64)))
(fma.f64 (*.f64 x (sqrt.f64 y)) (sqrt.f64 y) (+.f64 x y))
(fma.f64 (*.f64 x (sqrt.f64 y)) (sqrt.f64 y) (*.f64 (+.f64 x y) #s(literal 1 binary64)))
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (+.f64 x y))
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (*.f64 (+.f64 x y) #s(literal 1 binary64)))
(fma.f64 (*.f64 y (sqrt.f64 x)) (sqrt.f64 x) (+.f64 x y))
(fma.f64 (*.f64 y (sqrt.f64 x)) (sqrt.f64 x) (*.f64 (+.f64 x y) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x y x))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 x (-.f64 y #s(literal 1 binary64)))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 x (-.f64 y #s(literal 1 binary64)))))
(*.f64 x (+.f64 #s(literal 1 binary64) y))
(*.f64 x (+.f64 y #s(literal 1 binary64)))
(*.f64 x (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)))
(*.f64 x (pow.f64 (+.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (fma.f64 x y x) #s(literal 1 binary64))
(*.f64 (fma.f64 x y x) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (fma.f64 x y x))
(*.f64 (cbrt.f64 (fma.f64 x y x)) (pow.f64 (cbrt.f64 (fma.f64 x y x)) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (fma.f64 x y x)) (pow.f64 (pow.f64 (fma.f64 x y x) #s(literal 2 binary64)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x y x)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x y x)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x y x)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x y x))) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 (fma.f64 x y x)) (sqrt.f64 (fma.f64 x y x)))
(*.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x (*.f64 x y)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))))
(*.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x (*.f64 x y)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))) #s(literal 1 binary64)))
(*.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 x (-.f64 y #s(literal 1 binary64)))))
(*.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (-.f64 y #s(literal 1 binary64)))) #s(literal 1 binary64)))
(*.f64 (+.f64 y #s(literal 1 binary64)) x)
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (fma.f64 x y x))
(*.f64 (pow.f64 (+.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)) x)
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x y x)) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x y x))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x y x))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x y x))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x y x))) (cbrt.f64 (cbrt.f64 (fma.f64 x y x)))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x y x))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x y x))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x y x))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (pow.f64 (fma.f64 x y x) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (fma.f64 x y x)))
(*.f64 (pow.f64 (pow.f64 (fma.f64 x y x) #s(literal 3/2 binary64)) #s(literal 1/3 binary64)) (pow.f64 (pow.f64 (fma.f64 x y x) #s(literal 3/2 binary64)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (*.f64 (fma.f64 x y x) (sqrt.f64 (fma.f64 x y x))) #s(literal 1/3 binary64)) (pow.f64 (*.f64 (fma.f64 x y x) (sqrt.f64 (fma.f64 x y x))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 x y x) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 x y x) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (*.f64 (pow.f64 (fma.f64 x y x) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (fma.f64 x y x)) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (pow.f64 (cbrt.f64 (fma.f64 x y x)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (*.f64 (pow.f64 (fma.f64 x y x) #s(literal 2 binary64)) (sqrt.f64 (fma.f64 x y x))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (fma.f64 x y x)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x y x)) #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x y x))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x y x))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x y x))) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x (*.f64 x y)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x (-.f64 x (*.f64 x y)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 y (pow.f64 x #s(literal 2 binary64))))))
(/.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (*.f64 x (-.f64 y #s(literal 1 binary64))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (-.f64 x (*.f64 x y)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (neg.f64 (*.f64 x (-.f64 y #s(literal 1 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (-.f64 x (*.f64 x y)))
(pow.f64 (fma.f64 x y x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 x y x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 x y x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 x y x)) #s(literal 2 binary64))
(pow.f64 (/.f64 (fma.f64 x (-.f64 x (*.f64 x y)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) #s(literal -1 binary64))
(sqrt.f64 (pow.f64 (fma.f64 x y x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 x y x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x y x))))
(log.f64 (*.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x y)))))
(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 x y)))))
(log.f64 (*.f64 (pow.f64 (exp.f64 x) y) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x y))) (exp.f64 x)))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x y))) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(cbrt.f64 (pow.f64 (fma.f64 x y x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 x y x)))
(log1p.f64 (expm1.f64 (fma.f64 x y x)))
(exp.f64 (+.f64 (log.f64 x) (log1p.f64 y)))
(exp.f64 (*.f64 (+.f64 (log.f64 x) (log1p.f64 y)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 x y x))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (+.f64 (log.f64 x) (log1p.f64 y))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x y x))) #s(literal 2 binary64)))
(fma.f64 x y x)
(fma.f64 x #s(literal 1 binary64) (*.f64 x y))
(fma.f64 y x x)
(fma.f64 (*.f64 x y) #s(literal 1 binary64) x)
(fma.f64 #s(literal 1 binary64) x (*.f64 x y))
(fma.f64 #s(literal 1 binary64) (*.f64 x y) x)
(fma.f64 (cbrt.f64 (*.f64 x y)) (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) x)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x y)) x)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 x y))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (*.f64 x y))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) y) x)
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) x) x)
(fma.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (*.f64 x y)) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 x y))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) y) x)
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) x) x)
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) x)
(fma.f64 (*.f64 x (sqrt.f64 y)) (sqrt.f64 y) x)
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) x)
(fma.f64 (*.f64 y (sqrt.f64 x)) (sqrt.f64 x) x)
Outputs
y
(+.f64 y (*.f64 x (+.f64 #s(literal 1 binary64) y)))
(fma.f64 x (+.f64 y #s(literal 1 binary64)) y)
(fma.f64 y (+.f64 x #s(literal 1 binary64)) x)
(+.f64 y (*.f64 x (+.f64 #s(literal 1 binary64) y)))
(fma.f64 x (+.f64 y #s(literal 1 binary64)) y)
(fma.f64 y (+.f64 x #s(literal 1 binary64)) x)
(+.f64 y (*.f64 x (+.f64 #s(literal 1 binary64) y)))
(fma.f64 x (+.f64 y #s(literal 1 binary64)) y)
(fma.f64 y (+.f64 x #s(literal 1 binary64)) x)
(*.f64 x (+.f64 #s(literal 1 binary64) y))
(*.f64 x (+.f64 y #s(literal 1 binary64)))
(fma.f64 y x x)
(*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 y (/.f64 y x))))
(*.f64 x (+.f64 (+.f64 y #s(literal 1 binary64)) (/.f64 y x)))
(*.f64 x (+.f64 y (+.f64 #s(literal 1 binary64) (/.f64 y x))))
(*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 y (/.f64 y x))))
(*.f64 x (+.f64 (+.f64 y #s(literal 1 binary64)) (/.f64 y x)))
(*.f64 x (+.f64 y (+.f64 #s(literal 1 binary64) (/.f64 y x))))
(*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 y (/.f64 y x))))
(*.f64 x (+.f64 (+.f64 y #s(literal 1 binary64)) (/.f64 y x)))
(*.f64 x (+.f64 y (+.f64 #s(literal 1 binary64) (/.f64 y x))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) y) #s(literal 1 binary64))))
(*.f64 x (+.f64 y #s(literal 1 binary64)))
(fma.f64 y x x)
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 y x))) #s(literal 1 binary64))))
(*.f64 (neg.f64 x) (+.f64 (*.f64 #s(literal -1 binary64) (+.f64 y (/.f64 y x))) #s(literal -1 binary64)))
(*.f64 x (neg.f64 (fma.f64 #s(literal -1 binary64) (+.f64 y (/.f64 y x)) #s(literal -1 binary64))))
(*.f64 (-.f64 #s(literal -1 binary64) (+.f64 y (/.f64 y x))) (neg.f64 x))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 y x))) #s(literal 1 binary64))))
(*.f64 (neg.f64 x) (+.f64 (*.f64 #s(literal -1 binary64) (+.f64 y (/.f64 y x))) #s(literal -1 binary64)))
(*.f64 x (neg.f64 (fma.f64 #s(literal -1 binary64) (+.f64 y (/.f64 y x)) #s(literal -1 binary64))))
(*.f64 (-.f64 #s(literal -1 binary64) (+.f64 y (/.f64 y x))) (neg.f64 x))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 y x))) #s(literal 1 binary64))))
(*.f64 (neg.f64 x) (+.f64 (*.f64 #s(literal -1 binary64) (+.f64 y (/.f64 y x))) #s(literal -1 binary64)))
(*.f64 x (neg.f64 (fma.f64 #s(literal -1 binary64) (+.f64 y (/.f64 y x)) #s(literal -1 binary64))))
(*.f64 (-.f64 #s(literal -1 binary64) (+.f64 y (/.f64 y x))) (neg.f64 x))
x
(+.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) x)))
(fma.f64 x (+.f64 y #s(literal 1 binary64)) y)
(fma.f64 y (+.f64 x #s(literal 1 binary64)) x)
(+.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) x)))
(fma.f64 x (+.f64 y #s(literal 1 binary64)) y)
(fma.f64 y (+.f64 x #s(literal 1 binary64)) x)
(+.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) x)))
(fma.f64 x (+.f64 y #s(literal 1 binary64)) y)
(fma.f64 y (+.f64 x #s(literal 1 binary64)) x)
(*.f64 y (+.f64 #s(literal 1 binary64) x))
(*.f64 y (+.f64 x #s(literal 1 binary64)))
(fma.f64 y x y)
(*.f64 y (+.f64 #s(literal 1 binary64) (+.f64 x (/.f64 x y))))
(*.f64 y (+.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 x y)))
(*.f64 y (+.f64 x (+.f64 #s(literal 1 binary64) (/.f64 x y))))
(*.f64 y (+.f64 #s(literal 1 binary64) (+.f64 x (/.f64 x y))))
(*.f64 y (+.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 x y)))
(*.f64 y (+.f64 x (+.f64 #s(literal 1 binary64) (/.f64 x y))))
(*.f64 y (+.f64 #s(literal 1 binary64) (+.f64 x (/.f64 x y))))
(*.f64 y (+.f64 (+.f64 x #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 y (-.f64 (*.f64 #s(literal -1 binary64) x) #s(literal 1 binary64))))
(*.f64 y (+.f64 x #s(literal 1 binary64)))
(fma.f64 y x y)
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 x y))) #s(literal 1 binary64))))
(*.f64 y (+.f64 (+.f64 x #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 y (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 x y))) #s(literal 1 binary64))))
(*.f64 y (+.f64 (+.f64 x #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 y (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 x y))) #s(literal 1 binary64))))
(*.f64 y (+.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 x y)))
(*.f64 y (+.f64 x (+.f64 #s(literal 1 binary64) (/.f64 x y))))
(*.f64 x (+.f64 #s(literal 1 binary64) y))
(*.f64 x (+.f64 y #s(literal 1 binary64)))
(fma.f64 y x x)
(*.f64 x (+.f64 #s(literal 1 binary64) y))
(*.f64 x (+.f64 y #s(literal 1 binary64)))
(fma.f64 y x x)
(*.f64 x (+.f64 #s(literal 1 binary64) y))
(*.f64 x (+.f64 y #s(literal 1 binary64)))
(fma.f64 y x x)
(*.f64 x (+.f64 #s(literal 1 binary64) y))
(*.f64 x (+.f64 y #s(literal 1 binary64)))
(fma.f64 y x x)
(*.f64 x (+.f64 #s(literal 1 binary64) y))
(*.f64 x (+.f64 y #s(literal 1 binary64)))
(fma.f64 y x x)
(*.f64 x (+.f64 #s(literal 1 binary64) y))
(*.f64 x (+.f64 y #s(literal 1 binary64)))
(fma.f64 y x x)
(*.f64 x (+.f64 #s(literal 1 binary64) y))
(*.f64 x (+.f64 y #s(literal 1 binary64)))
(fma.f64 y x x)
(*.f64 x (+.f64 #s(literal 1 binary64) y))
(*.f64 x (+.f64 y #s(literal 1 binary64)))
(fma.f64 y x x)
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) y) #s(literal 1 binary64))))
(*.f64 x (+.f64 y #s(literal 1 binary64)))
(fma.f64 y x x)
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) y) #s(literal 1 binary64))))
(*.f64 x (+.f64 y #s(literal 1 binary64)))
(fma.f64 y x x)
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) y) #s(literal 1 binary64))))
(*.f64 x (+.f64 y #s(literal 1 binary64)))
(fma.f64 y x x)
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) y) #s(literal 1 binary64))))
(*.f64 x (+.f64 y #s(literal 1 binary64)))
(fma.f64 y x x)
x
(+.f64 x (*.f64 x y))
(*.f64 x (+.f64 y #s(literal 1 binary64)))
(fma.f64 y x x)
(+.f64 x (*.f64 x y))
(*.f64 x (+.f64 y #s(literal 1 binary64)))
(fma.f64 y x x)
(+.f64 x (*.f64 x y))
(*.f64 x (+.f64 y #s(literal 1 binary64)))
(fma.f64 y x x)
(*.f64 x y)
(*.f64 y x)
(*.f64 y (+.f64 x (/.f64 x y)))
(*.f64 y (+.f64 x (/.f64 x y)))
(*.f64 y (+.f64 x (/.f64 x y)))
(*.f64 x y)
(*.f64 y x)
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(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 y x x)
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x y)))))
(*.f64 x (+.f64 y #s(literal 1 binary64)))
(fma.f64 y x x)
(log.f64 (*.f64 (pow.f64 (exp.f64 x) y) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(*.f64 x (+.f64 y #s(literal 1 binary64)))
(fma.f64 y x x)
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x y))) (exp.f64 x)))
(*.f64 x (+.f64 y #s(literal 1 binary64)))
(fma.f64 y x x)
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x y))) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(*.f64 x (+.f64 y #s(literal 1 binary64)))
(fma.f64 y x x)
(cbrt.f64 (pow.f64 (fma.f64 x y x) #s(literal 3 binary64)))
(*.f64 x (+.f64 y #s(literal 1 binary64)))
(fma.f64 y x x)
(expm1.f64 (log1p.f64 (fma.f64 x y x)))
(expm1.f64 (log1p.f64 (fma.f64 y x x)))
(log1p.f64 (expm1.f64 (fma.f64 x y x)))
(*.f64 x (+.f64 y #s(literal 1 binary64)))
(fma.f64 y x x)
(exp.f64 (+.f64 (log.f64 x) (log1p.f64 y)))
(*.f64 x (+.f64 y #s(literal 1 binary64)))
(fma.f64 y x x)
(exp.f64 (*.f64 (+.f64 (log.f64 x) (log1p.f64 y)) #s(literal 1 binary64)))
(*.f64 x (+.f64 y #s(literal 1 binary64)))
(fma.f64 y x x)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 x y x))) #s(literal 3 binary64)))
(*.f64 x (+.f64 y #s(literal 1 binary64)))
(fma.f64 y x x)
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (+.f64 (log.f64 x) (log1p.f64 y))) #s(literal 1/3 binary64)))
(*.f64 x (+.f64 y #s(literal 1 binary64)))
(fma.f64 y x x)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x y x))) #s(literal 2 binary64)))
(*.f64 x (+.f64 y #s(literal 1 binary64)))
(fma.f64 y x x)
(fma.f64 x y x)
(*.f64 x (+.f64 y #s(literal 1 binary64)))
(fma.f64 y x x)
(fma.f64 x #s(literal 1 binary64) (*.f64 x y))
(*.f64 x (+.f64 y #s(literal 1 binary64)))
(fma.f64 y x x)
(fma.f64 y x x)
(*.f64 x (+.f64 y #s(literal 1 binary64)))
(fma.f64 (*.f64 x y) #s(literal 1 binary64) x)
(*.f64 x (+.f64 y #s(literal 1 binary64)))
(fma.f64 y x x)
(fma.f64 #s(literal 1 binary64) x (*.f64 x y))
(*.f64 x (+.f64 y #s(literal 1 binary64)))
(fma.f64 y x x)
(fma.f64 #s(literal 1 binary64) (*.f64 x y) x)
(*.f64 x (+.f64 y #s(literal 1 binary64)))
(fma.f64 y x x)
(fma.f64 (cbrt.f64 (*.f64 x y)) (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) x)
(*.f64 x (+.f64 y #s(literal 1 binary64)))
(fma.f64 y x x)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x y)) x)
(*.f64 x (+.f64 y #s(literal 1 binary64)))
(fma.f64 y x x)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 x y))
(*.f64 x (+.f64 y #s(literal 1 binary64)))
(fma.f64 y x x)
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (*.f64 x y))
(*.f64 x (+.f64 y #s(literal 1 binary64)))
(fma.f64 y x x)
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) y) x)
(*.f64 x (+.f64 y #s(literal 1 binary64)))
(fma.f64 y x x)
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) x) x)
(*.f64 x (+.f64 y #s(literal 1 binary64)))
(fma.f64 y x x)
(fma.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (*.f64 x y)) x)
(*.f64 x (+.f64 y #s(literal 1 binary64)))
(fma.f64 y x x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 x y))
(*.f64 x (+.f64 y #s(literal 1 binary64)))
(fma.f64 y x x)
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) y) x)
(*.f64 x (+.f64 y #s(literal 1 binary64)))
(fma.f64 y x x)
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) x) x)
(*.f64 x (+.f64 y #s(literal 1 binary64)))
(fma.f64 y x x)
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) x)
(*.f64 x (+.f64 y #s(literal 1 binary64)))
(fma.f64 y x x)
(fma.f64 (*.f64 x (sqrt.f64 y)) (sqrt.f64 y) x)
(*.f64 x (+.f64 y #s(literal 1 binary64)))
(fma.f64 y x x)
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) x)
(*.f64 x (+.f64 y #s(literal 1 binary64)))
(fma.f64 y x x)
(fma.f64 (*.f64 y (sqrt.f64 x)) (sqrt.f64 x) x)
(*.f64 x (+.f64 y #s(literal 1 binary64)))
(fma.f64 y x x)
Results
Precisions
Click to see histograms. Total time spent on operations: 0ms

eval284.0ms (5.6%)

Results
Compiler

Compiled 4034 to 1865 computations (53.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 0ms

prune152.0ms (3%)

Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New2705275
Fresh000
Picked112
Done000
Total2716277
Accuracy
100.0%
Counts
277 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(+.f64 (+.f64 (*.f64 x y) x) y)
▶56.1%
(+.f64 (*.f64 y x) y)
▶56.1%
(*.f64 y (+.f64 x #s(literal 1 binary64)))
▶67.4%
(*.f64 x (+.f64 y #s(literal 1 binary64)))
▶33.7%
y
▶45.7%
x
Results
Compiler

Compiled 63 to 41 computations (34.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 0ms

localize201.0ms (4%)

Localize:

Found 2 expressions with local error:

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

Compiled 37 to 17 computations (54.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 48.0ms
Operation ival-add, time spent: 26.0ms, 55.0% of total-time
Operation ival-mult, time spent: 18.0ms, 38.0% of total-time
Operation const, time spent: 3.0ms, 6.0% of total-time

series19.0ms (0.4%)

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

12 calls:

TimeVariablePointExpression
3.0ms
y
@0
(+ (* y x) y)
3.0ms
x
@-inf
(* y (+ x 1))
2.0ms
y
@0
(* y (+ x 1))
1.0ms
y
@inf
(* y (+ x 1))
1.0ms
y
@inf
(+ (* y x) y)
Results
Precisions
Click to see histograms. Total time spent on operations: 0ms

rewrite135.0ms (2.7%)

Algorithm
1×batch-egg-rewrite
Rules
923×prod-diff
674×log1p-expm1-u
674×expm1-log1p-u
330×fma-define
329×log-prod
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01236
115936
2192436
Stop Event
1×node limit
Counts
2 → 145
Calls
Call 1
Inputs
(*.f64 y (+.f64 x #s(literal 1 binary64)))
(+.f64 (*.f64 y x) y)
Outputs
(+.f64 y (*.f64 y x))
(+.f64 (*.f64 y x) y)
(+.f64 #s(literal 0 binary64) (fma.f64 y x y))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (fma.f64 y x y))) (cbrt.f64 (exp.f64 (fma.f64 y x y))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 y x y)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 y x y)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 y x y)))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 y x y))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 y (+.f64 x #s(literal -1 binary64)))) (/.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 y (+.f64 x #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (-.f64 y (*.f64 y x)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (+.f64 x #s(literal -1 binary64))) (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y (-.f64 y (*.f64 y x)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y y (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 x (pow.f64 y #s(literal 2 binary64))))))
(/.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (*.f64 y (+.f64 x #s(literal -1 binary64))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 y (-.f64 y (*.f64 y x)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (neg.f64 (*.f64 y (+.f64 x #s(literal -1 binary64)))))
(/.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x))
(/.f64 (*.f64 y (fma.f64 x x #s(literal -1 binary64))) (+.f64 x #s(literal -1 binary64)))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) y) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x))
(/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) y) (+.f64 x #s(literal -1 binary64)))
(/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (-.f64 y (*.f64 y x)))
(pow.f64 (fma.f64 y x y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 y x y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 y x y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 y x y)) #s(literal 2 binary64))
(pow.f64 (/.f64 (fma.f64 y (-.f64 y (*.f64 y x)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 y (+.f64 x #s(literal -1 binary64))) (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) #s(literal -1 binary64))
(sqrt.f64 (pow.f64 (fma.f64 y x y) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 y x y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 y x y))))
(log.f64 (*.f64 (exp.f64 y) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y x)))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 y)) (pow.f64 (exp.f64 x) y)))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 y)) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y x)))))
(log.f64 (*.f64 (pow.f64 (exp.f64 x) y) (+.f64 #s(literal 1 binary64) (expm1.f64 y))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y x))) (exp.f64 y)))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y x))) (+.f64 #s(literal 1 binary64) (expm1.f64 y))))
(cbrt.f64 (pow.f64 (fma.f64 y x y) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (fma.f64 y x y)))
(log1p.f64 (expm1.f64 (fma.f64 y x y)))
(exp.f64 (+.f64 (log1p.f64 x) (log.f64 y)))
(exp.f64 (*.f64 (+.f64 (log1p.f64 x) (log.f64 y)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 y x y))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (+.f64 (log1p.f64 x) (log.f64 y))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 y x y))) #s(literal 2 binary64)))
(fma.f64 y x y)
(fma.f64 y #s(literal 1 binary64) (*.f64 y x))
(fma.f64 x y y)
(fma.f64 #s(literal 1 binary64) y (*.f64 y x))
(fma.f64 #s(literal 1 binary64) (*.f64 y x) y)
(fma.f64 (*.f64 y x) #s(literal 1 binary64) y)
(fma.f64 (cbrt.f64 (*.f64 y x)) (pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 2 binary64)) y)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 y x)) y)
(fma.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 y x))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 y) (*.f64 y x))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) #s(literal 1 binary64)) (*.f64 y x))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) x) y)
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) y) y)
(fma.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 (*.f64 y x)) y)
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) (*.f64 y x))
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) #s(literal 1 binary64)) (*.f64 y x))
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) x) y)
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) y) y)
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) y)
(fma.f64 (*.f64 y (sqrt.f64 x)) (sqrt.f64 x) y)
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) y)
(fma.f64 (*.f64 x (sqrt.f64 y)) (sqrt.f64 y) y)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 y x y))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 y (+.f64 x #s(literal -1 binary64)))) (/.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 y (+.f64 x #s(literal -1 binary64)))))
(*.f64 y (+.f64 x #s(literal 1 binary64)))
(*.f64 #s(literal 1 binary64) (fma.f64 y x y))
(*.f64 (+.f64 x #s(literal 1 binary64)) y)
(*.f64 (fma.f64 y x y) #s(literal 1 binary64))
(*.f64 (fma.f64 y x y) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) y))
(*.f64 (cbrt.f64 (fma.f64 y x y)) (pow.f64 (cbrt.f64 (fma.f64 y x y)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 y x y)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 y x y)))
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) (+.f64 x #s(literal 1 binary64))))
(*.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (*.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) y))
(*.f64 (sqrt.f64 (fma.f64 y x y)) (sqrt.f64 (fma.f64 y x y)))
(*.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (+.f64 x #s(literal 1 binary64))))
(*.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y (*.f64 y x)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))
(*.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 x #s(literal -1 binary64)))))
(*.f64 (*.f64 y (pow.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 2 binary64))) (cbrt.f64 (+.f64 x #s(literal 1 binary64))))
(*.f64 (*.f64 y (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
(*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y))
(*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 y)) (sqrt.f64 y))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (-.f64 y (*.f64 y x)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (+.f64 x #s(literal -1 binary64))) (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y (-.f64 y (*.f64 y x)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y y (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 x (pow.f64 y #s(literal 2 binary64))))))
(/.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (*.f64 y (+.f64 x #s(literal -1 binary64))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 y (-.f64 y (*.f64 y x)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (neg.f64 (*.f64 y (+.f64 x #s(literal -1 binary64)))))
(/.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x))
(/.f64 (*.f64 y (fma.f64 x x #s(literal -1 binary64))) (+.f64 x #s(literal -1 binary64)))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) y) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x))
(/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) y) (+.f64 x #s(literal -1 binary64)))
(/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (-.f64 y (*.f64 y x)))
(pow.f64 (fma.f64 y x y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 y x y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 y x y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 y x y)) #s(literal 2 binary64))
(pow.f64 (/.f64 (fma.f64 y (-.f64 y (*.f64 y x)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 y (+.f64 x #s(literal -1 binary64))) (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) #s(literal -1 binary64))
(sqrt.f64 (pow.f64 (fma.f64 y x y) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 y x y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 y x y))))
(log.f64 (*.f64 (exp.f64 y) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y x)))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 y)) (pow.f64 (exp.f64 x) y)))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 y)) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y x)))))
(log.f64 (*.f64 (pow.f64 (exp.f64 x) y) (+.f64 #s(literal 1 binary64) (expm1.f64 y))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y x))) (exp.f64 y)))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y x))) (+.f64 #s(literal 1 binary64) (expm1.f64 y))))
(cbrt.f64 (pow.f64 (fma.f64 y x y) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (fma.f64 y x y)))
(log1p.f64 (expm1.f64 (fma.f64 y x y)))
(exp.f64 (+.f64 (log1p.f64 x) (log.f64 y)))
(exp.f64 (*.f64 (+.f64 (log1p.f64 x) (log.f64 y)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 y x y))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (+.f64 (log1p.f64 x) (log.f64 y))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 y x y))) #s(literal 2 binary64)))
(fma.f64 y x y)
(fma.f64 y #s(literal 1 binary64) (*.f64 y x))
(fma.f64 x y y)
(fma.f64 #s(literal 1 binary64) y (*.f64 y x))
(fma.f64 #s(literal 1 binary64) (*.f64 y x) y)
(fma.f64 (*.f64 y x) #s(literal 1 binary64) y)
(fma.f64 (cbrt.f64 (*.f64 y x)) (pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 2 binary64)) y)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 y x)) y)
(fma.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 y x))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 y) (*.f64 y x))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) #s(literal 1 binary64)) (*.f64 y x))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) x) y)
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) y) y)
(fma.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 (*.f64 y x)) y)
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) (*.f64 y x))
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) #s(literal 1 binary64)) (*.f64 y x))
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) x) y)
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) y) y)
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) y)
(fma.f64 (*.f64 y (sqrt.f64 x)) (sqrt.f64 x) y)
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) y)
(fma.f64 (*.f64 x (sqrt.f64 y)) (sqrt.f64 y) y)
Results
Precisions
Click to see histograms. Total time spent on operations: 0ms

simplify189.0ms (3.8%)

Algorithm
1×egg-herbie
Rules
489×prod-exp
464×fma-define
398×unswap-sqr
385×div-sub
384×times-frac
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02244524
15104458
213084388
353994388
Stop Event
1×node limit
Counts
193 → 97
Calls
Call 1
Inputs
(*.f64 y (+.f64 #s(literal 1 binary64) x))
(*.f64 y (+.f64 #s(literal 1 binary64) x))
(*.f64 y (+.f64 #s(literal 1 binary64) x))
(*.f64 y (+.f64 #s(literal 1 binary64) x))
(*.f64 y (+.f64 #s(literal 1 binary64) x))
(*.f64 y (+.f64 #s(literal 1 binary64) x))
(*.f64 y (+.f64 #s(literal 1 binary64) x))
(*.f64 y (+.f64 #s(literal 1 binary64) x))
(*.f64 y (+.f64 #s(literal 1 binary64) x))
(*.f64 y (+.f64 #s(literal 1 binary64) x))
(*.f64 y (+.f64 #s(literal 1 binary64) x))
(*.f64 y (+.f64 #s(literal 1 binary64) x))
y
(+.f64 y (*.f64 x y))
(+.f64 y (*.f64 x y))
(+.f64 y (*.f64 x y))
(*.f64 x y)
(*.f64 x (+.f64 y (/.f64 y x)))
(*.f64 x (+.f64 y (/.f64 y x)))
(*.f64 x (+.f64 y (/.f64 y x)))
(*.f64 x y)
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 y x)))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 y x)))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 y x)))))
(*.f64 y (+.f64 #s(literal 1 binary64) x))
(*.f64 y (+.f64 #s(literal 1 binary64) x))
(*.f64 y (+.f64 #s(literal 1 binary64) x))
(*.f64 y (+.f64 #s(literal 1 binary64) x))
(*.f64 y (+.f64 #s(literal 1 binary64) x))
(*.f64 y (+.f64 #s(literal 1 binary64) x))
(*.f64 y (+.f64 #s(literal 1 binary64) x))
(*.f64 y (+.f64 #s(literal 1 binary64) x))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) x) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) x) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) x) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) x) #s(literal 1 binary64))))
y
(+.f64 y (*.f64 x y))
(+.f64 y (*.f64 x y))
(+.f64 y (*.f64 x y))
(*.f64 x y)
(*.f64 x (+.f64 y (/.f64 y x)))
(*.f64 x (+.f64 y (/.f64 y x)))
(*.f64 x (+.f64 y (/.f64 y x)))
(*.f64 x y)
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 y x)))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 y x)))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 y x)))))
(+.f64 y (*.f64 y x))
(+.f64 (*.f64 y x) y)
(+.f64 #s(literal 0 binary64) (fma.f64 y x y))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (fma.f64 y x y))) (cbrt.f64 (exp.f64 (fma.f64 y x y))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 y x y)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 y x y)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 y x y)))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 y x y))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 y (+.f64 x #s(literal -1 binary64)))) (/.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 y (+.f64 x #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (-.f64 y (*.f64 y x)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (+.f64 x #s(literal -1 binary64))) (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y (-.f64 y (*.f64 y x)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y y (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 x (pow.f64 y #s(literal 2 binary64))))))
(/.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (*.f64 y (+.f64 x #s(literal -1 binary64))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 y (-.f64 y (*.f64 y x)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (neg.f64 (*.f64 y (+.f64 x #s(literal -1 binary64)))))
(/.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x))
(/.f64 (*.f64 y (fma.f64 x x #s(literal -1 binary64))) (+.f64 x #s(literal -1 binary64)))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) y) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x))
(/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) y) (+.f64 x #s(literal -1 binary64)))
(/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (-.f64 y (*.f64 y x)))
(pow.f64 (fma.f64 y x y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 y x y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 y x y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 y x y)) #s(literal 2 binary64))
(pow.f64 (/.f64 (fma.f64 y (-.f64 y (*.f64 y x)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 y (+.f64 x #s(literal -1 binary64))) (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) #s(literal -1 binary64))
(sqrt.f64 (pow.f64 (fma.f64 y x y) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 y x y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 y x y))))
(log.f64 (*.f64 (exp.f64 y) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y x)))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 y)) (pow.f64 (exp.f64 x) y)))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 y)) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y x)))))
(log.f64 (*.f64 (pow.f64 (exp.f64 x) y) (+.f64 #s(literal 1 binary64) (expm1.f64 y))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y x))) (exp.f64 y)))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y x))) (+.f64 #s(literal 1 binary64) (expm1.f64 y))))
(cbrt.f64 (pow.f64 (fma.f64 y x y) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (fma.f64 y x y)))
(log1p.f64 (expm1.f64 (fma.f64 y x y)))
(exp.f64 (+.f64 (log1p.f64 x) (log.f64 y)))
(exp.f64 (*.f64 (+.f64 (log1p.f64 x) (log.f64 y)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 y x y))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (+.f64 (log1p.f64 x) (log.f64 y))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 y x y))) #s(literal 2 binary64)))
(fma.f64 y x y)
(fma.f64 y #s(literal 1 binary64) (*.f64 y x))
(fma.f64 x y y)
(fma.f64 #s(literal 1 binary64) y (*.f64 y x))
(fma.f64 #s(literal 1 binary64) (*.f64 y x) y)
(fma.f64 (*.f64 y x) #s(literal 1 binary64) y)
(fma.f64 (cbrt.f64 (*.f64 y x)) (pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 2 binary64)) y)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 y x)) y)
(fma.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 y x))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 y) (*.f64 y x))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) #s(literal 1 binary64)) (*.f64 y x))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) x) y)
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) y) y)
(fma.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 (*.f64 y x)) y)
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) (*.f64 y x))
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) #s(literal 1 binary64)) (*.f64 y x))
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) x) y)
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) y) y)
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) y)
(fma.f64 (*.f64 y (sqrt.f64 x)) (sqrt.f64 x) y)
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) y)
(fma.f64 (*.f64 x (sqrt.f64 y)) (sqrt.f64 y) y)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 y x y))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 y (+.f64 x #s(literal -1 binary64)))) (/.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 y (+.f64 x #s(literal -1 binary64)))))
(*.f64 y (+.f64 x #s(literal 1 binary64)))
(*.f64 #s(literal 1 binary64) (fma.f64 y x y))
(*.f64 (+.f64 x #s(literal 1 binary64)) y)
(*.f64 (fma.f64 y x y) #s(literal 1 binary64))
(*.f64 (fma.f64 y x y) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) y))
(*.f64 (cbrt.f64 (fma.f64 y x y)) (pow.f64 (cbrt.f64 (fma.f64 y x y)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 y x y)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 y x y)))
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) (+.f64 x #s(literal 1 binary64))))
(*.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (*.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) y))
(*.f64 (sqrt.f64 (fma.f64 y x y)) (sqrt.f64 (fma.f64 y x y)))
(*.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (+.f64 x #s(literal 1 binary64))))
(*.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y (*.f64 y x)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))
(*.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 x #s(literal -1 binary64)))))
(*.f64 (*.f64 y (pow.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 2 binary64))) (cbrt.f64 (+.f64 x #s(literal 1 binary64))))
(*.f64 (*.f64 y (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
(*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y))
(*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 y)) (sqrt.f64 y))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (-.f64 y (*.f64 y x)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (+.f64 x #s(literal -1 binary64))) (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y (-.f64 y (*.f64 y x)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y y (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 x (pow.f64 y #s(literal 2 binary64))))))
(/.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (*.f64 y (+.f64 x #s(literal -1 binary64))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 y (-.f64 y (*.f64 y x)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (neg.f64 (*.f64 y (+.f64 x #s(literal -1 binary64)))))
(/.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x))
(/.f64 (*.f64 y (fma.f64 x x #s(literal -1 binary64))) (+.f64 x #s(literal -1 binary64)))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) y) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x))
(/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) y) (+.f64 x #s(literal -1 binary64)))
(/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (-.f64 y (*.f64 y x)))
(pow.f64 (fma.f64 y x y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 y x y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 y x y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 y x y)) #s(literal 2 binary64))
(pow.f64 (/.f64 (fma.f64 y (-.f64 y (*.f64 y x)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 y (+.f64 x #s(literal -1 binary64))) (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) #s(literal -1 binary64))
(sqrt.f64 (pow.f64 (fma.f64 y x y) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 y x y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 y x y))))
(log.f64 (*.f64 (exp.f64 y) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y x)))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 y)) (pow.f64 (exp.f64 x) y)))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 y)) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y x)))))
(log.f64 (*.f64 (pow.f64 (exp.f64 x) y) (+.f64 #s(literal 1 binary64) (expm1.f64 y))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y x))) (exp.f64 y)))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y x))) (+.f64 #s(literal 1 binary64) (expm1.f64 y))))
(cbrt.f64 (pow.f64 (fma.f64 y x y) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (fma.f64 y x y)))
(log1p.f64 (expm1.f64 (fma.f64 y x y)))
(exp.f64 (+.f64 (log1p.f64 x) (log.f64 y)))
(exp.f64 (*.f64 (+.f64 (log1p.f64 x) (log.f64 y)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 y x y))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (+.f64 (log1p.f64 x) (log.f64 y))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 y x y))) #s(literal 2 binary64)))
(fma.f64 y x y)
(fma.f64 y #s(literal 1 binary64) (*.f64 y x))
(fma.f64 x y y)
(fma.f64 #s(literal 1 binary64) y (*.f64 y x))
(fma.f64 #s(literal 1 binary64) (*.f64 y x) y)
(fma.f64 (*.f64 y x) #s(literal 1 binary64) y)
(fma.f64 (cbrt.f64 (*.f64 y x)) (pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 2 binary64)) y)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 y x)) y)
(fma.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 y x))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 y) (*.f64 y x))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) #s(literal 1 binary64)) (*.f64 y x))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) x) y)
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) y) y)
(fma.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 (*.f64 y x)) y)
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) (*.f64 y x))
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) #s(literal 1 binary64)) (*.f64 y x))
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) x) y)
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) y) y)
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) y)
(fma.f64 (*.f64 y (sqrt.f64 x)) (sqrt.f64 x) y)
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) y)
(fma.f64 (*.f64 x (sqrt.f64 y)) (sqrt.f64 y) y)
Outputs
(*.f64 y (+.f64 #s(literal 1 binary64) x))
(fma.f64 y x y)
(*.f64 y (+.f64 #s(literal 1 binary64) x))
(fma.f64 y x y)
(*.f64 y (+.f64 #s(literal 1 binary64) x))
(fma.f64 y x y)
(*.f64 y (+.f64 #s(literal 1 binary64) x))
(fma.f64 y x y)
(*.f64 y (+.f64 #s(literal 1 binary64) x))
(fma.f64 y x y)
(*.f64 y (+.f64 #s(literal 1 binary64) x))
(fma.f64 y x y)
(*.f64 y (+.f64 #s(literal 1 binary64) x))
(fma.f64 y x y)
(*.f64 y (+.f64 #s(literal 1 binary64) x))
(fma.f64 y x y)
(*.f64 y (+.f64 #s(literal 1 binary64) x))
(fma.f64 y x y)
(*.f64 y (+.f64 #s(literal 1 binary64) x))
(fma.f64 y x y)
(*.f64 y (+.f64 #s(literal 1 binary64) x))
(fma.f64 y x y)
(*.f64 y (+.f64 #s(literal 1 binary64) x))
(fma.f64 y x y)
y
(+.f64 y (*.f64 x y))
(fma.f64 y x y)
(+.f64 y (*.f64 x y))
(fma.f64 y x y)
(+.f64 y (*.f64 x y))
(fma.f64 y x y)
(*.f64 x y)
(*.f64 y x)
(*.f64 x (+.f64 y (/.f64 y x)))
(fma.f64 y x y)
(*.f64 x (+.f64 y (/.f64 y x)))
(fma.f64 y x y)
(*.f64 x (+.f64 y (/.f64 y x)))
(fma.f64 y x y)
(*.f64 x y)
(*.f64 y x)
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 y x)))))
(fma.f64 y x y)
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 y x)))))
(fma.f64 y x y)
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 y x)))))
(fma.f64 y x y)
(*.f64 y (+.f64 #s(literal 1 binary64) x))
(fma.f64 y x y)
(*.f64 y (+.f64 #s(literal 1 binary64) x))
(fma.f64 y x y)
(*.f64 y (+.f64 #s(literal 1 binary64) x))
(fma.f64 y x y)
(*.f64 y (+.f64 #s(literal 1 binary64) x))
(fma.f64 y x y)
(*.f64 y (+.f64 #s(literal 1 binary64) x))
(fma.f64 y x y)
(*.f64 y (+.f64 #s(literal 1 binary64) x))
(fma.f64 y x y)
(*.f64 y (+.f64 #s(literal 1 binary64) x))
(fma.f64 y x y)
(*.f64 y (+.f64 #s(literal 1 binary64) x))
(fma.f64 y x y)
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) x) #s(literal 1 binary64))))
(fma.f64 y x y)
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) x) #s(literal 1 binary64))))
(fma.f64 y x y)
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) x) #s(literal 1 binary64))))
(fma.f64 y x y)
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) x) #s(literal 1 binary64))))
(fma.f64 y x y)
y
(+.f64 y (*.f64 x y))
(fma.f64 y x y)
(+.f64 y (*.f64 x y))
(fma.f64 y x y)
(+.f64 y (*.f64 x y))
(fma.f64 y x y)
(*.f64 x y)
(*.f64 y x)
(*.f64 x (+.f64 y (/.f64 y x)))
(fma.f64 y x y)
(*.f64 x (+.f64 y (/.f64 y x)))
(fma.f64 y x y)
(*.f64 x (+.f64 y (/.f64 y x)))
(fma.f64 y x y)
(*.f64 x y)
(*.f64 y x)
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 y x)))))
(fma.f64 y x y)
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 y x)))))
(fma.f64 y x y)
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 y x)))))
(fma.f64 y x y)
(+.f64 y (*.f64 y x))
(fma.f64 y x y)
(+.f64 (*.f64 y x) y)
(fma.f64 y x y)
(+.f64 #s(literal 0 binary64) (fma.f64 y x y))
(fma.f64 y x y)
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (fma.f64 y x y))) (cbrt.f64 (exp.f64 (fma.f64 y x y))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 y x y)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 y x y)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 y x y)))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 y x y)))))
(*.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 y x y)))) #s(literal 2 binary64))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 y x y))) #s(literal 1 binary64))
(fma.f64 y x y)
(-.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 y (+.f64 x #s(literal -1 binary64)))) (/.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 y (+.f64 x #s(literal -1 binary64)))))
(fma.f64 y x y)
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (-.f64 y (*.f64 y x)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))
(*.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y (*.f64 y x)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y (-.f64 y (*.f64 y x)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y y (*.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))) (+.f64 x #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (+.f64 x #s(literal -1 binary64))) (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))
(fma.f64 y x y)
(/.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y (-.f64 y (*.f64 y x)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))
(*.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y (*.f64 y x)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y y (*.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))) (+.f64 x #s(literal -1 binary64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y y (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 x (pow.f64 y #s(literal 2 binary64))))))
(*.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y (*.f64 y x)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y (-.f64 y (*.f64 y x)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y y (*.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))) (+.f64 x #s(literal -1 binary64)))))
(/.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (*.f64 y (+.f64 x #s(literal -1 binary64))))
(fma.f64 y x y)
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 y (-.f64 y (*.f64 y x)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))
(*.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y (*.f64 y x)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y (-.f64 y (*.f64 y x)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y y (*.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))) (+.f64 x #s(literal -1 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (neg.f64 (*.f64 y (+.f64 x #s(literal -1 binary64)))))
(fma.f64 y x y)
(/.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x))
(/.f64 (fma.f64 y (pow.f64 x #s(literal 3 binary64)) y) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x))
(/.f64 (fma.f64 y (pow.f64 x #s(literal 3 binary64)) y) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))
(/.f64 (*.f64 y (fma.f64 x x #s(literal -1 binary64))) (+.f64 x #s(literal -1 binary64)))
(fma.f64 y x y)
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) y) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x))
(/.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x))
(/.f64 (fma.f64 y (pow.f64 x #s(literal 3 binary64)) y) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x))
(/.f64 (fma.f64 y (pow.f64 x #s(literal 3 binary64)) y) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))
(/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) y) (+.f64 x #s(literal -1 binary64)))
(fma.f64 y x y)
(/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (-.f64 y (*.f64 y x)))
(fma.f64 y x y)
(pow.f64 (fma.f64 y x y) #s(literal 1 binary64))
(fma.f64 y x y)
(pow.f64 (cbrt.f64 (fma.f64 y x y)) #s(literal 3 binary64))
(fma.f64 y x y)
(pow.f64 (pow.f64 (fma.f64 y x y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(fma.f64 y x y)
(pow.f64 (sqrt.f64 (fma.f64 y x y)) #s(literal 2 binary64))
(fma.f64 y x y)
(pow.f64 (/.f64 (fma.f64 y (-.f64 y (*.f64 y x)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) #s(literal -1 binary64))
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(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) x) y)
(fma.f64 y x y)
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) y) y)
(fma.f64 y x y)
(fma.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 (*.f64 y x)) y)
(fma.f64 y x y)
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) (*.f64 y x))
(fma.f64 y x y)
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) #s(literal 1 binary64)) (*.f64 y x))
(fma.f64 y x y)
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) x) y)
(fma.f64 y x y)
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) y) y)
(fma.f64 y x y)
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) y)
(fma.f64 y x y)
(fma.f64 (*.f64 y (sqrt.f64 x)) (sqrt.f64 x) y)
(fma.f64 y x y)
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) y)
(fma.f64 y x y)
(fma.f64 (*.f64 x (sqrt.f64 y)) (sqrt.f64 y) y)
(fma.f64 y x y)
Results
Precisions
Click to see histograms. Total time spent on operations: 0ms

eval38.0ms (0.8%)

Results
Compiler

Compiled 1021 to 478 computations (53.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 0ms

prune28.0ms (0.6%)

Pruning

7 alts after pruning (1 fresh and 6 done)

PrunedKeptTotal
New96197
Fresh000
Picked055
Done011
Total967103
Accuracy
100.0%
Counts
103 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(+.f64 (+.f64 (*.f64 x y) x) y)
✓56.1%
(+.f64 (*.f64 y x) y)
✓56.1%
(*.f64 y (+.f64 x #s(literal 1 binary64)))
▶24.2%
(*.f64 y x)
✓67.4%
(*.f64 x (+.f64 y #s(literal 1 binary64)))
✓33.7%
y
✓45.7%
x
Results
Compiler

Compiled 41 to 26 computations (36.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 0ms

localize33.0ms (0.7%)

Results
Compiler

Compiled 8 to 4 computations (50% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
Operation ival-mult, time spent: 4.0ms, 84.0% of total-time
Operation const, time spent: 0.0ms, 0.0% of total-time

eval0.0ms (0%)

Results
Compiler

Compiled 2 to 2 computations (0% saved)

Precisions
Click to see histograms. Total time spent on operations: 0ms

prune7.0ms (0.1%)

Pruning

7 alts after pruning (0 fresh and 7 done)

PrunedKeptTotal
New000
Fresh000
Picked011
Done066
Total077
Accuracy
100.0%
Counts
7 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(+.f64 (+.f64 (*.f64 x y) x) y)
✓56.1%
(+.f64 (*.f64 y x) y)
✓56.1%
(*.f64 y (+.f64 x #s(literal 1 binary64)))
✓24.2%
(*.f64 y x)
✓67.4%
(*.f64 x (+.f64 y #s(literal 1 binary64)))
✓33.7%
y
✓45.7%
x
Results
Compiler

Compiled 76 to 42 computations (44.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 0ms

regimes26.0ms (0.5%)

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

3 calls:

12.0ms
x
6.0ms
(+.f64 (+.f64 (*.f64 x y) x) y)
6.0ms
y
Results
AccuracySegmentsBranch
100.0%1x
100.0%1y
100.0%1(+.f64 (+.f64 (*.f64 x y) x) y)
Results
Compiler

Compiled 15 to 9 computations (40% saved)

Precisions
Click to see histograms. Total time spent on operations: 0ms

regimes18.0ms (0.4%)

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

3 calls:

6.0ms
y
5.0ms
x
5.0ms
(+.f64 (+.f64 (*.f64 x y) x) y)
Results
AccuracySegmentsBranch
100.0%1x
100.0%1y
100.0%1(+.f64 (+.f64 (*.f64 x y) x) y)
Results
Compiler

Compiled 15 to 9 computations (40% saved)

Precisions
Click to see histograms. Total time spent on operations: 0ms

regimes28.0ms (0.6%)

Counts
6 → 2
Calls
Call 1
Inputs
x
y
(*.f64 y x)
(*.f64 x (+.f64 y #s(literal 1 binary64)))
(*.f64 y (+.f64 x #s(literal 1 binary64)))
(+.f64 (*.f64 y x) y)
Outputs
(*.f64 x (+.f64 y #s(literal 1 binary64)))
(*.f64 y (+.f64 x #s(literal 1 binary64)))
Calls

2 calls:

15.0ms
x
12.0ms
y
Results
AccuracySegmentsBranch
91.9%4x
92.6%2y
Results
Compiler

Compiled 6 to 4 computations (33.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 0ms

regimes20.0ms (0.4%)

Counts
4 → 5
Calls
Call 1
Inputs
x
y
(*.f64 y x)
(*.f64 x (+.f64 y #s(literal 1 binary64)))
Outputs
(*.f64 x (+.f64 y #s(literal 1 binary64)))
y
x
y
(*.f64 y x)
Calls

2 calls:

10.0ms
y
9.0ms
x
Results
AccuracySegmentsBranch
91.1%5x
77.5%4y
Results
Compiler

Compiled 6 to 4 computations (33.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 0ms

regimes20.0ms (0.4%)

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

2 calls:

10.0ms
y
9.0ms
x
Results
AccuracySegmentsBranch
76.8%5y
73.4%5x
Results
Compiler

Compiled 6 to 4 computations (33.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 0ms

regimes4.0ms (0.1%)

Counts
2 → 2
Calls
Call 1
Inputs
x
y
Outputs
x
y
Calls

1 calls:

4.0ms
y
Results
AccuracySegmentsBranch
69.7%2y
Results
Compiler

Compiled 3 to 2 computations (33.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 0ms

regimes3.0ms (0.1%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
x
Outputs
x
Calls

2 calls:

1.0ms
x
1.0ms
y
Results
AccuracySegmentsBranch
45.7%1x
45.7%1y
Results
Compiler

Compiled 6 to 4 computations (33.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 0ms

bsearch20.0ms (0.4%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
19.0ms
4.852093604083592e-142
6.494342684071141e-141
Results
17.0ms96×256valid
Compiler

Compiled 110 to 81 computations (26.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
Operation ival-add, time spent: 2.0ms, 57.0% of total-time
Operation ival-mult, time spent: 1.0ms, 29.0% of total-time
Operation const, time spent: 0.0ms, 0.0% of total-time

bsearch100.0ms (2%)

Algorithm
4×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
27.0ms
3.95350908034435e-9
1.0054287042758832
17.0ms
-1.3003229625142056e-195
-9.4047975560186e-197
27.0ms
-1.9550435946352506e-140
-1.725092388893227e-146
18.0ms
-1.0550045043830256e-119
-1.5138506500537275e-120
Results
82.0ms480×256valid
Compiler

Compiled 296 to 216 computations (27% saved)

Precisions
Click to see histograms. Total time spent on operations: 19.0ms
Operation ival-add, time spent: 11.0ms, 57.0% of total-time
Operation ival-mult, time spent: 7.0ms, 36.0% of total-time
Operation const, time spent: 1.0ms, 5.0% of total-time

bsearch108.0ms (2.1%)

Algorithm
4×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
23.0ms
5.757711120455187e+94
5.491737785649206e+96
32.0ms
1.5951441856179056e+51
6.094135817897185e+68
21.0ms
2.877212656710155e-93
1.3309986470235938e-91
27.0ms
-885.1973247066564
-1.9766006930130224e-6
Results
89.0ms494×256valid
6.0ms34×256infinite
Compiler

Compiled 330 to 233 computations (29.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 23.0ms
Operation ival-add, time spent: 14.0ms, 62.0% of total-time
Operation ival-mult, time spent: 8.0ms, 35.0% of total-time
Operation const, time spent: 1.0ms, 4.0% of total-time

bsearch25.0ms (0.5%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
24.0ms
2.877212656710155e-93
1.3309986470235938e-91
Results
22.0ms112×256valid
Compiler

Compiled 70 to 51 computations (27.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
Operation ival-add, time spent: 2.0ms, 48.0% of total-time
Operation ival-mult, time spent: 2.0ms, 48.0% of total-time
Operation const, time spent: 0.0ms, 0.0% of total-time

simplify16.0ms (0.3%)

Algorithm
1×egg-herbie
Rules
4×+-commutative
3×1-exp
3×*-commutative
2×if-if-or-not
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
048307
167307
Stop Event
1×done
1×saturated
Calls
Call 1
Inputs
(fma.f64 (+.f64 y #s(literal 1 binary64)) x y)
(+.f64 (+.f64 (*.f64 x y) x) y)
(if (<=.f64 y #s(literal 5320218186601223/858099707516326214372737599885174152158679412517913176174307932398192897924707006515319955082681819372162038923935107254640248499964580476571753536389382144 binary64)) (*.f64 x (+.f64 y #s(literal 1 binary64))) (*.f64 y (+.f64 x #s(literal 1 binary64))))
(if (<=.f64 x #s(literal -1380993576161653/363419362147803445274661903944002267176820680343659030140745099590319644056698961663095525356881782780381260803133088966767300814307328 binary64)) (*.f64 x (+.f64 y #s(literal 1 binary64))) (if (<=.f64 x #s(literal -8098044830177753/449891379454319638281053850768598185886969711830191663310075557261183758067148787031904068610389085714992091063352089512320826605549429968900851518086516385513472 binary64)) y (if (<=.f64 x #s(literal -3419088336006443/2630067950774186753620494941440064332775169901411586929749140451534366077148540411056833268138794225613491484428089108856509716125091901931563907385325940424977611835564222299095831878942161358635646625867890688 binary64)) x (if (<=.f64 x #s(literal 1 binary64)) y (*.f64 y x)))))
(if (<=.f64 y #s(literal -1 binary64)) (*.f64 y x) (if (<=.f64 y #s(literal 4770477121259349/36695977855841144185773134324833391052745039826692497979801421430190766017415756929120296849762010984873984 binary64)) x (if (<=.f64 y #s(literal 10500000000000000594752553145073666750672045384383061819392 binary64)) y (if (<=.f64 y #s(literal 459999999999999994479296976115262600527918227566552355704819316653689645248584829292120406753280 binary64)) (*.f64 y x) y))))
(if (<=.f64 y #s(literal 4770477121259349/36695977855841144185773134324833391052745039826692497979801421430190766017415756929120296849762010984873984 binary64)) x y)
x
Outputs
(fma.f64 (+.f64 y #s(literal 1 binary64)) x y)
(+.f64 (+.f64 (*.f64 x y) x) y)
(+.f64 y (+.f64 x (*.f64 y x)))
(if (<=.f64 y #s(literal 5320218186601223/858099707516326214372737599885174152158679412517913176174307932398192897924707006515319955082681819372162038923935107254640248499964580476571753536389382144 binary64)) (*.f64 x (+.f64 y #s(literal 1 binary64))) (*.f64 y (+.f64 x #s(literal 1 binary64))))
(if (<=.f64 y #s(literal 5320218186601223/858099707516326214372737599885174152158679412517913176174307932398192897924707006515319955082681819372162038923935107254640248499964580476571753536389382144 binary64)) (*.f64 (+.f64 y #s(literal 1 binary64)) x) (*.f64 y (+.f64 #s(literal 1 binary64) x)))
(if (<=.f64 x #s(literal -1380993576161653/363419362147803445274661903944002267176820680343659030140745099590319644056698961663095525356881782780381260803133088966767300814307328 binary64)) (*.f64 x (+.f64 y #s(literal 1 binary64))) (if (<=.f64 x #s(literal -8098044830177753/449891379454319638281053850768598185886969711830191663310075557261183758067148787031904068610389085714992091063352089512320826605549429968900851518086516385513472 binary64)) y (if (<=.f64 x #s(literal -3419088336006443/2630067950774186753620494941440064332775169901411586929749140451534366077148540411056833268138794225613491484428089108856509716125091901931563907385325940424977611835564222299095831878942161358635646625867890688 binary64)) x (if (<=.f64 x #s(literal 1 binary64)) y (*.f64 y x)))))
(if (<=.f64 x #s(literal -1380993576161653/363419362147803445274661903944002267176820680343659030140745099590319644056698961663095525356881782780381260803133088966767300814307328 binary64)) (*.f64 (+.f64 y #s(literal 1 binary64)) x) (if (<=.f64 x #s(literal -8098044830177753/449891379454319638281053850768598185886969711830191663310075557261183758067148787031904068610389085714992091063352089512320826605549429968900851518086516385513472 binary64)) y (if (<=.f64 x #s(literal -3419088336006443/2630067950774186753620494941440064332775169901411586929749140451534366077148540411056833268138794225613491484428089108856509716125091901931563907385325940424977611835564222299095831878942161358635646625867890688 binary64)) x (if (<=.f64 x #s(literal 1 binary64)) y (*.f64 y x)))))
(if (<=.f64 y #s(literal -1 binary64)) (*.f64 y x) (if (<=.f64 y #s(literal 4770477121259349/36695977855841144185773134324833391052745039826692497979801421430190766017415756929120296849762010984873984 binary64)) x (if (<=.f64 y #s(literal 10500000000000000594752553145073666750672045384383061819392 binary64)) y (if (<=.f64 y #s(literal 459999999999999994479296976115262600527918227566552355704819316653689645248584829292120406753280 binary64)) (*.f64 y x) y))))
(if (<=.f64 y #s(literal 4770477121259349/36695977855841144185773134324833391052745039826692497979801421430190766017415756929120296849762010984873984 binary64)) x y)
x
Results
Compiler

Compiled 100 to 61 computations (39% saved)

Precisions
Click to see histograms. Total time spent on operations: 0ms

soundness766.0ms (15.2%)

Rules
922×times-frac
569×fma-neg
544×distribute-lft-in
489×prod-exp
464×fma-define
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
024221
170209
2201177
3660171
41501168
52144168
62257168
72261168
04658522
110508345
228408157
02244524
15104458
213084388
353994388
Stop Event
1×node limit
1×node limit
1×saturated
Results
Compiler

Compiled 61 to 35 computations (42.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 0ms

end0.0ms (0%)

preprocess150.0ms (3%)

Compiler

Compiled 258 to 144 computations (44.2% saved)

Profiling

Loading profile data...