Linear.Matrix:fromQuaternion from linear-1.19.1.3, A

Time bar (total: 2.9s)

analyze0.0ms (0%)

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

Compiled 12 to 8 computations (33.3% saved)

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

sample1.2s (40.2%)

Results
945.0ms8256×0valid
Precisions
Click to see histograms. Total time spent on operations: 650.0ms
ival-mult: 353.0ms (54.3% of total)
ival-sub: 284.0ms (43.7% of total)
const: 10.0ms (1.5% of total)
backward-pass: 3.0ms (0.5% of total)
Bogosity

preprocess124.0ms (4.2%)

Algorithm
egg-herbie
Rules
597×fma-neg
216×fma-define
172×unsub-neg
163×associate-*r*
148×distribute-lft-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
028212
191196
2210196
3722196
41664196
52112196
62480196
72600196
82600196
Stop Event
saturated
Calls
Call 1
Inputs
(*.f64 #s(literal 2 binary64) (-.f64 (*.f64 x x) (*.f64 x y)))
(*.f64 #s(literal 2 binary64) (-.f64 (*.f64 x x) (*.f64 x y)))
(*.f64 #s(literal 2 binary64) (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 (neg.f64 x) y)))
(*.f64 #s(literal 2 binary64) (-.f64 (*.f64 x x) (*.f64 x (neg.f64 y))))
(neg.f64 (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 (neg.f64 x) y))))
(neg.f64 (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 x x) (*.f64 x (neg.f64 y)))))
(*.f64 #s(literal 2 binary64) (-.f64 (*.f64 y y) (*.f64 y x)))
Outputs
(*.f64 #s(literal 2 binary64) (-.f64 (*.f64 x x) (*.f64 x y)))
(*.f64 #s(literal 2 binary64) (*.f64 x (-.f64 x y)))
(*.f64 #s(literal 2 binary64) (-.f64 (*.f64 x x) (*.f64 x y)))
(*.f64 #s(literal 2 binary64) (*.f64 x (-.f64 x y)))
(*.f64 #s(literal 2 binary64) (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 (neg.f64 x) y)))
(*.f64 #s(literal 2 binary64) (*.f64 x (-.f64 x (neg.f64 y))))
(*.f64 #s(literal 2 binary64) (*.f64 x (+.f64 x y)))
(*.f64 #s(literal 2 binary64) (-.f64 (*.f64 x x) (*.f64 x (neg.f64 y))))
(*.f64 #s(literal 2 binary64) (*.f64 x (-.f64 x (neg.f64 y))))
(*.f64 #s(literal 2 binary64) (*.f64 x (+.f64 x y)))
(neg.f64 (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 (neg.f64 x) y))))
(*.f64 #s(literal -2 binary64) (*.f64 x (-.f64 x (neg.f64 y))))
(*.f64 (*.f64 x (+.f64 x y)) #s(literal -2 binary64))
(*.f64 x (*.f64 #s(literal -2 binary64) (+.f64 x y)))
(neg.f64 (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 x x) (*.f64 x (neg.f64 y)))))
(*.f64 #s(literal -2 binary64) (*.f64 x (-.f64 x (neg.f64 y))))
(*.f64 (*.f64 x (+.f64 x y)) #s(literal -2 binary64))
(*.f64 x (*.f64 #s(literal -2 binary64) (+.f64 x y)))
(*.f64 #s(literal 2 binary64) (-.f64 (*.f64 y y) (*.f64 y x)))
(*.f64 #s(literal 2 binary64) (*.f64 y (-.f64 y x)))
(*.f64 y (*.f64 (-.f64 y x) #s(literal 2 binary64)))
(*.f64 y (*.f64 #s(literal 2 binary64) (-.f64 y x)))
(*.f64 y (*.f64 #s(literal -2 binary64) (-.f64 x y)))

explain67.0ms (2.3%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
100-0-(-.f64 (*.f64 x x) (*.f64 x y))
00-0-x
00-0-(*.f64 x y)
00-0-(*.f64 x x)
00-0-(*.f64 #s(literal 2 binary64) (-.f64 (*.f64 x x) (*.f64 x y)))
00-0-#s(literal 2 binary64)
00-0-y
Results
40.0ms512×0valid
Compiler

Compiled 67 to 23 computations (65.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 19.0ms
ival-mult: 14.0ms (74.5% of total)
ival-sub: 4.0ms (21.3% of total)
const: 1.0ms (5.3% of total)
backward-pass: 0.0ms (0% of total)

eval0.0ms (0%)

Compiler

Compiled 9 to 6 computations (33.3% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(*.f64 #s(literal 2 binary64) (*.f64 x (-.f64 x y)))
Compiler

Compiled 9 to 6 computations (33.3% saved)

simplify98.0ms (3.4%)

Algorithm
egg-herbie
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
cost-diff0
(-.f64 x y)
cost-diff0
(*.f64 x (-.f64 x y))
cost-diff0
(*.f64 #s(literal 2 binary64) (*.f64 x (-.f64 x y)))
Rules
470×fma-define
273×fma-neg
94×distribute-lft-in
79×associate-*r*
63×distribute-rgt-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01172
11872
24172
39472
419472
532872
667372
7105672
8153972
9160772
Stop Event
saturated
Calls
Call 1
Inputs
(*.f64 #s(literal 2 binary64) (*.f64 x (-.f64 x y)))
#s(literal 2 binary64)
(*.f64 x (-.f64 x y))
x
(-.f64 x y)
y
Outputs
(*.f64 #s(literal 2 binary64) (*.f64 x (-.f64 x y)))
(*.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 x y))
(*.f64 (-.f64 x y) (*.f64 #s(literal 2 binary64) x))
(*.f64 x (*.f64 #s(literal 2 binary64) (-.f64 x y)))
#s(literal 2 binary64)
(*.f64 x (-.f64 x y))
x
(-.f64 x y)
y

localize26.0ms (0.9%)

Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(-.f64 x y)
accuracy100.0%
(*.f64 x (-.f64 x y))
accuracy100.0%
(*.f64 #s(literal 2 binary64) (*.f64 x (-.f64 x y)))
Results
19.0ms256×0valid
Compiler

Compiled 21 to 7 computations (66.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-mult: 4.0ms (70.1% of total)
ival-sub: 2.0ms (35% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series8.0ms (0.3%)

Counts
3 → 69
Calls
Call 1
Inputs
#<alt (*.f64 #s(literal 2 binary64) (*.f64 x (-.f64 x y)))>
#<alt (*.f64 x (-.f64 x y))>
#<alt (-.f64 x y)>
Outputs
#<alt (*.f64 #s(literal -2 binary64) (*.f64 x y))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -2 binary64) y) (*.f64 #s(literal 2 binary64) x)))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -2 binary64) y) (*.f64 #s(literal 2 binary64) x)))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -2 binary64) y) (*.f64 #s(literal 2 binary64) x)))>
#<alt (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (/.f64 y x))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (/.f64 y x))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (/.f64 y x))))>
#<alt (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (/.f64 y x))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (/.f64 y x))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (/.f64 y x))))>
#<alt (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 #s(literal -2 binary64) (*.f64 x y)) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))>
#<alt (+.f64 (*.f64 #s(literal -2 binary64) (*.f64 x y)) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))>
#<alt (+.f64 (*.f64 #s(literal -2 binary64) (*.f64 x y)) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -2 binary64) (*.f64 x y))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal -2 binary64) x) (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal -2 binary64) x) (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal -2 binary64) x) (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))))>
#<alt (*.f64 #s(literal -2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (*.f64 #s(literal 2 binary64) x))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (*.f64 #s(literal 2 binary64) x))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (*.f64 #s(literal 2 binary64) x))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))>
#<alt (*.f64 x (+.f64 x (*.f64 #s(literal -1 binary64) y)))>
#<alt (*.f64 x (+.f64 x (*.f64 #s(literal -1 binary64) y)))>
#<alt (*.f64 x (+.f64 x (*.f64 #s(literal -1 binary64) y)))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 y x))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 y x))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 y x))))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 y x))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 y x))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 y x))))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))))>
#<alt (*.f64 #s(literal -1 binary64) y)>
#<alt x>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 y x))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 y x))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 y x))))>
#<alt x>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (/.f64 y x) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (/.f64 y x) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (/.f64 y x) #s(literal 1 binary64))))>
#<alt x>
#<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) y)>
#<alt (*.f64 y (-.f64 (/.f64 x y) #s(literal 1 binary64)))>
#<alt (*.f64 y (-.f64 (/.f64 x y) #s(literal 1 binary64)))>
#<alt (*.f64 y (-.f64 (/.f64 x y) #s(literal 1 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) y)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))>
Calls

18 calls:

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

rewrite360.0ms (12.3%)

Algorithm
batch-egg-rewrite
Rules
610×log1p-expm1-u
610×expm1-log1p-u
590×unpow-prod-down
359×prod-diff
325×log-prod
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01163
112063
2162263
Stop Event
node limit
Counts
3 → 177
Calls
Call 1
Inputs
(*.f64 #s(literal 2 binary64) (*.f64 x (-.f64 x y)))
(*.f64 x (-.f64 x y))
(-.f64 x y)
Outputs
(+.f64 (*.f64 x (-.f64 x y)) (*.f64 x (-.f64 x y)))
(+.f64 #s(literal 0 binary64) (*.f64 (-.f64 x y) (*.f64 #s(literal 2 binary64) x)))
(+.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x) (*.f64 (*.f64 #s(literal 2 binary64) x) (neg.f64 y)))
(+.f64 (*.f64 x (*.f64 #s(literal 2 binary64) x)) (*.f64 (neg.f64 y) (*.f64 #s(literal 2 binary64) x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) x) (-.f64 x y))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) x) (-.f64 x y)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) x) (-.f64 x y)))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) x) (-.f64 x y)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 x y) (*.f64 #s(literal 2 binary64) x)))) #s(literal 1 binary64))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y (+.f64 x y) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (+.f64 x y))
(pow.f64 (*.f64 (-.f64 x y) (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (-.f64 x y) (*.f64 #s(literal 2 binary64) x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (-.f64 x y) (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 (-.f64 x y) (*.f64 #s(literal 2 binary64) x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (-.f64 x y) (*.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (-.f64 x y) (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) x) (-.f64 x y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (-.f64 x y) (*.f64 #s(literal 2 binary64) x)))))
(cbrt.f64 (pow.f64 (*.f64 (-.f64 x y) (*.f64 #s(literal 2 binary64) x)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (-.f64 x y) (*.f64 #s(literal 2 binary64) x))))
(log1p.f64 (expm1.f64 (*.f64 (-.f64 x y) (*.f64 #s(literal 2 binary64) x))))
(exp.f64 (log.f64 (*.f64 (-.f64 x y) (*.f64 #s(literal 2 binary64) x))))
(exp.f64 (*.f64 (log.f64 (*.f64 (-.f64 x y) (*.f64 #s(literal 2 binary64) x))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (-.f64 x y) (*.f64 #s(literal 2 binary64) x)))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 (-.f64 x y) (*.f64 #s(literal 2 binary64) x)))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (-.f64 x y) (*.f64 #s(literal 2 binary64) x)))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (-.f64 x y) (*.f64 #s(literal 2 binary64) x))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(fma.f64 x (*.f64 #s(literal 2 binary64) x) (*.f64 (neg.f64 y) (*.f64 #s(literal 2 binary64) x)))
(fma.f64 (*.f64 #s(literal 2 binary64) x) x (*.f64 (*.f64 #s(literal 2 binary64) x) (neg.f64 y)))
(+.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 x (neg.f64 y)))
(+.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (neg.f64 y) x))
(+.f64 #s(literal 0 binary64) (*.f64 x (-.f64 x y)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 x y)) x)) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 x y)) x))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 x y)) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 x y)) x))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (-.f64 x y)))) #s(literal 1 binary64))
(/.f64 (*.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y (+.f64 x y) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (*.f64 x (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (+.f64 x y))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) x) (fma.f64 y (+.f64 x y) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) x) (+.f64 x y))
(pow.f64 (*.f64 x (-.f64 x y)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (-.f64 x y))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x (-.f64 x y)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 x (-.f64 x y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (-.f64 x y))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 x (-.f64 x y)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (-.f64 x y)) x))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (-.f64 x y)))))
(cbrt.f64 (pow.f64 (*.f64 x (-.f64 x y)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x (-.f64 x y))))
(log1p.f64 (expm1.f64 (*.f64 x (-.f64 x y))))
(exp.f64 (log.f64 (*.f64 x (-.f64 x y))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (-.f64 x y))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x (-.f64 x y)))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 x (-.f64 x y)))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x (-.f64 x y)))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 x (-.f64 x y))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(fma.f64 x x (*.f64 x (neg.f64 y)))
(fma.f64 x x (*.f64 (neg.f64 y) x))
(fma.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 x (neg.f64 y)))
(fma.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 (neg.f64 y) x))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) x) (*.f64 x (neg.f64 y)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) x) (*.f64 (neg.f64 y) x))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) x) (*.f64 x (neg.f64 y)))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) x) (*.f64 (neg.f64 y) x))
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (sqrt.f64 x) (*.f64 x (neg.f64 y)))
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (sqrt.f64 x) (*.f64 (neg.f64 y) x))
(fma.f64 (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 x (neg.f64 y)))
(fma.f64 (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (neg.f64 y) x))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (*.f64 x (neg.f64 y)))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (*.f64 (neg.f64 y) x))
(+.f64 x (neg.f64 y))
(+.f64 x (*.f64 (neg.f64 y) #s(literal 1 binary64)))
(+.f64 (-.f64 x y) (fma.f64 (neg.f64 y) #s(literal 1 binary64) y))
(+.f64 (-.f64 x y) (fma.f64 (neg.f64 (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) y))
(+.f64 (-.f64 x y) (+.f64 (neg.f64 y) y))
(+.f64 (-.f64 x y) (fma.f64 #s(literal -1 binary64) y y))
(+.f64 (-.f64 x y) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) y))
(+.f64 (neg.f64 y) x)
(+.f64 #s(literal 0 binary64) (-.f64 x y))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 x y))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (-.f64 x y)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 x y)))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 x y)))))
(*.f64 (-.f64 x y) #s(literal 1 binary64))
(*.f64 (-.f64 x y) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (-.f64 x y))
(*.f64 (cbrt.f64 (-.f64 x y)) (pow.f64 (cbrt.f64 (-.f64 x y)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) #s(literal 2 binary64)) (cbrt.f64 (-.f64 x y)))
(*.f64 (sqrt.f64 (-.f64 x y)) (sqrt.f64 (-.f64 x y)))
(*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 x y) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 x y) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)))
(*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x y)))
(*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) #s(literal 1 binary64)))
(*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (-.f64 (sqrt.f64 x) (sqrt.f64 y)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (-.f64 x y))
(*.f64 (pow.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) #s(literal 1 binary64)) (pow.f64 (-.f64 (sqrt.f64 x) (sqrt.f64 y)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 x y))) #s(literal 2 binary64)) #s(literal 3 binary64)) (cbrt.f64 (-.f64 x y)))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (-.f64 x y))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (-.f64 x y))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (-.f64 x y) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (-.f64 x y) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (*.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (-.f64 x y)) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (-.f64 x y))))
(*.f64 (pow.f64 (*.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)) (sqrt.f64 (-.f64 x y))) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (-.f64 x y))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (+.f64 x y) (pow.f64 x #s(literal 2 binary64))) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x y) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y (+.f64 x y) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (+.f64 x y))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 y (+.f64 x y) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (neg.f64 (+.f64 x y)))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (neg.f64 y) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (pow.f64 (neg.f64 y) #s(literal 2 binary64)) (*.f64 x (neg.f64 y)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (neg.f64 y) #s(literal 2 binary64))) (-.f64 x (neg.f64 y)))
(pow.f64 (-.f64 x y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (-.f64 x y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (-.f64 x y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (-.f64 x y)) #s(literal 2 binary64))
(pow.f64 (/.f64 (fma.f64 y (+.f64 x y) (pow.f64 x #s(literal 2 binary64))) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 x y) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) #s(literal -1 binary64))
(sqrt.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)))
(log.f64 (exp.f64 (-.f64 x y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 x y))))
(log.f64 (*.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 y))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (/.f64 #s(literal 1 binary64) (exp.f64 y))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (exp.f64 (neg.f64 y))))
(log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (exp.f64 y)) (exp.f64 x)))
(log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (exp.f64 y)) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(log.f64 (*.f64 (exp.f64 (neg.f64 y)) (exp.f64 x)))
(log.f64 (*.f64 (exp.f64 (neg.f64 y)) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(log.f64 (/.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (expm1.f64 y))))
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (exp.f64 y)))
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (+.f64 #s(literal 1 binary64) (expm1.f64 y))))
(cbrt.f64 (pow.f64 (-.f64 x y) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (-.f64 x y)))
(log1p.f64 (expm1.f64 (-.f64 x y)))
(exp.f64 (log.f64 (-.f64 x y)))
(exp.f64 (*.f64 (log.f64 (-.f64 x y)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (-.f64 x y))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (-.f64 x y))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 x y))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (-.f64 x y)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(fma.f64 x #s(literal 1 binary64) (neg.f64 y))
(fma.f64 x #s(literal 1 binary64) (*.f64 (neg.f64 y) #s(literal 1 binary64)))
(fma.f64 (-.f64 x y) #s(literal 1 binary64) (fma.f64 (neg.f64 y) #s(literal 1 binary64) y))
(fma.f64 (-.f64 x y) #s(literal 1 binary64) (fma.f64 (neg.f64 (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) y))
(fma.f64 (-.f64 x y) #s(literal 1 binary64) (+.f64 (neg.f64 y) y))
(fma.f64 #s(literal 1 binary64) x (neg.f64 y))
(fma.f64 #s(literal 1 binary64) x (*.f64 (neg.f64 y) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (-.f64 x y) (fma.f64 (neg.f64 y) #s(literal 1 binary64) y))
(fma.f64 #s(literal 1 binary64) (-.f64 x y) (fma.f64 (neg.f64 (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) y))
(fma.f64 #s(literal 1 binary64) (-.f64 x y) (+.f64 (neg.f64 y) y))
(fma.f64 #s(literal 1 binary64) (neg.f64 y) x)
(fma.f64 (cbrt.f64 (-.f64 x y)) (pow.f64 (cbrt.f64 (-.f64 x y)) #s(literal 2 binary64)) (fma.f64 (neg.f64 y) #s(literal 1 binary64) y))
(fma.f64 (cbrt.f64 (-.f64 x y)) (pow.f64 (cbrt.f64 (-.f64 x y)) #s(literal 2 binary64)) (fma.f64 (neg.f64 (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) y))
(fma.f64 (cbrt.f64 (-.f64 x y)) (pow.f64 (cbrt.f64 (-.f64 x y)) #s(literal 2 binary64)) (+.f64 (neg.f64 y) y))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) #s(literal 2 binary64)) (cbrt.f64 (-.f64 x y)) (fma.f64 (neg.f64 y) #s(literal 1 binary64) y))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) #s(literal 2 binary64)) (cbrt.f64 (-.f64 x y)) (fma.f64 (neg.f64 (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) y))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) #s(literal 2 binary64)) (cbrt.f64 (-.f64 x y)) (+.f64 (neg.f64 y) y))
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (neg.f64 y))
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (neg.f64 y) #s(literal 1 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (neg.f64 y))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (*.f64 (neg.f64 y) #s(literal 1 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 y)) x)
(fma.f64 (sqrt.f64 (-.f64 x y)) (sqrt.f64 (-.f64 x y)) (fma.f64 (neg.f64 y) #s(literal 1 binary64) y))
(fma.f64 (sqrt.f64 (-.f64 x y)) (sqrt.f64 (-.f64 x y)) (fma.f64 (neg.f64 (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) y))
(fma.f64 (sqrt.f64 (-.f64 x y)) (sqrt.f64 (-.f64 x y)) (+.f64 (neg.f64 y) y))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (neg.f64 y))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (neg.f64 y) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 y) (neg.f64 (sqrt.f64 y)) x)
(fma.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 x y) (pow.f64 x #s(literal 2 binary64)))) (fma.f64 (neg.f64 y) #s(literal 1 binary64) y))
(fma.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 x y) (pow.f64 x #s(literal 2 binary64)))) (fma.f64 (neg.f64 (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) y))
(fma.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 x y) (pow.f64 x #s(literal 2 binary64)))) (+.f64 (neg.f64 y) y))
(fma.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x y)) (fma.f64 (neg.f64 y) #s(literal 1 binary64) y))
(fma.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x y)) (fma.f64 (neg.f64 (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) y))
(fma.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x y)) (+.f64 (neg.f64 y) y))
(fma.f64 (neg.f64 (sqrt.f64 y)) (sqrt.f64 y) x)
(fma.f64 (pow.f64 (cbrt.f64 (neg.f64 y)) #s(literal 2 binary64)) (cbrt.f64 (neg.f64 y)) x)
(fma.f64 (sqrt.f64 (neg.f64 y)) (sqrt.f64 (neg.f64 y)) x)
(fma.f64 #s(literal -1 binary64) y x)
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (-.f64 (sqrt.f64 x) (sqrt.f64 y)) (fma.f64 (neg.f64 y) #s(literal 1 binary64) y))
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (-.f64 (sqrt.f64 x) (sqrt.f64 y)) (fma.f64 (neg.f64 (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) y))
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (-.f64 (sqrt.f64 x) (sqrt.f64 y)) (+.f64 (neg.f64 y) y))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) x)

simplify259.0ms (8.9%)

Algorithm
egg-herbie
Rules
457×times-frac
436×div-sub
373×exp-prod
308×*-commutative
219×associate-+l+
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
04176849
19006570
224666511
367826483
Stop Event
node limit
Counts
246 → 249
Calls
Call 1
Inputs
(*.f64 #s(literal -2 binary64) (*.f64 x y))
(*.f64 x (+.f64 (*.f64 #s(literal -2 binary64) y) (*.f64 #s(literal 2 binary64) x)))
(*.f64 x (+.f64 (*.f64 #s(literal -2 binary64) y) (*.f64 #s(literal 2 binary64) x)))
(*.f64 x (+.f64 (*.f64 #s(literal -2 binary64) y) (*.f64 #s(literal 2 binary64) x)))
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (/.f64 y x))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (/.f64 y x))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (/.f64 y x))))
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (/.f64 y x))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (/.f64 y x))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (/.f64 y x))))
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal -2 binary64) (*.f64 x y)) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))
(+.f64 (*.f64 #s(literal -2 binary64) (*.f64 x y)) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))
(+.f64 (*.f64 #s(literal -2 binary64) (*.f64 x y)) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))
(*.f64 #s(literal -2 binary64) (*.f64 x y))
(*.f64 y (+.f64 (*.f64 #s(literal -2 binary64) x) (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))))
(*.f64 y (+.f64 (*.f64 #s(literal -2 binary64) x) (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))))
(*.f64 y (+.f64 (*.f64 #s(literal -2 binary64) x) (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))))
(*.f64 #s(literal -2 binary64) (*.f64 x y))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (*.f64 #s(literal 2 binary64) x))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (*.f64 #s(literal 2 binary64) x))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (*.f64 #s(literal 2 binary64) x))))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 x (+.f64 x (*.f64 #s(literal -1 binary64) y)))
(*.f64 x (+.f64 x (*.f64 #s(literal -1 binary64) y)))
(*.f64 x (+.f64 x (*.f64 #s(literal -1 binary64) y)))
(pow.f64 x #s(literal 2 binary64))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 y x))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 y x))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 y x))))
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(fma.f64 #s(literal 1 binary64) (neg.f64 y) x)
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(fma.f64 (cbrt.f64 (-.f64 x y)) (pow.f64 (cbrt.f64 (-.f64 x y)) #s(literal 2 binary64)) (fma.f64 (neg.f64 (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) y))
(fma.f64 (cbrt.f64 (-.f64 x y)) (pow.f64 (cbrt.f64 (-.f64 x y)) #s(literal 2 binary64)) (+.f64 (neg.f64 y) y))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) #s(literal 2 binary64)) (cbrt.f64 (-.f64 x y)) (fma.f64 (neg.f64 y) #s(literal 1 binary64) y))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) #s(literal 2 binary64)) (cbrt.f64 (-.f64 x y)) (fma.f64 (neg.f64 (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) y))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) #s(literal 2 binary64)) (cbrt.f64 (-.f64 x y)) (+.f64 (neg.f64 y) y))
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (neg.f64 y))
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (neg.f64 y) #s(literal 1 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (neg.f64 y))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (*.f64 (neg.f64 y) #s(literal 1 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 y)) x)
(fma.f64 (sqrt.f64 (-.f64 x y)) (sqrt.f64 (-.f64 x y)) (fma.f64 (neg.f64 y) #s(literal 1 binary64) y))
(fma.f64 (sqrt.f64 (-.f64 x y)) (sqrt.f64 (-.f64 x y)) (fma.f64 (neg.f64 (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) y))
(fma.f64 (sqrt.f64 (-.f64 x y)) (sqrt.f64 (-.f64 x y)) (+.f64 (neg.f64 y) y))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (neg.f64 y))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (neg.f64 y) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 y) (neg.f64 (sqrt.f64 y)) x)
(fma.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 x y) (pow.f64 x #s(literal 2 binary64)))) (fma.f64 (neg.f64 y) #s(literal 1 binary64) y))
(fma.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 x y) (pow.f64 x #s(literal 2 binary64)))) (fma.f64 (neg.f64 (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) y))
(fma.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 x y) (pow.f64 x #s(literal 2 binary64)))) (+.f64 (neg.f64 y) y))
(fma.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x y)) (fma.f64 (neg.f64 y) #s(literal 1 binary64) y))
(fma.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x y)) (fma.f64 (neg.f64 (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) y))
(fma.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x y)) (+.f64 (neg.f64 y) y))
(fma.f64 (neg.f64 (sqrt.f64 y)) (sqrt.f64 y) x)
(fma.f64 (pow.f64 (cbrt.f64 (neg.f64 y)) #s(literal 2 binary64)) (cbrt.f64 (neg.f64 y)) x)
(fma.f64 (sqrt.f64 (neg.f64 y)) (sqrt.f64 (neg.f64 y)) x)
(fma.f64 #s(literal -1 binary64) y x)
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (-.f64 (sqrt.f64 x) (sqrt.f64 y)) (fma.f64 (neg.f64 y) #s(literal 1 binary64) y))
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (-.f64 (sqrt.f64 x) (sqrt.f64 y)) (fma.f64 (neg.f64 (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) y))
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (-.f64 (sqrt.f64 x) (sqrt.f64 y)) (+.f64 (neg.f64 y) y))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) x)
Outputs
(*.f64 #s(literal -2 binary64) (*.f64 x y))
(*.f64 y (*.f64 #s(literal -2 binary64) x))
(*.f64 x (+.f64 (*.f64 #s(literal -2 binary64) y) (*.f64 #s(literal 2 binary64) x)))
(*.f64 x (fma.f64 #s(literal -2 binary64) y (*.f64 x #s(literal 2 binary64))))
(*.f64 x (*.f64 #s(literal 2 binary64) (-.f64 x y)))
(*.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 x y))
(*.f64 x (+.f64 (*.f64 #s(literal -2 binary64) y) (*.f64 #s(literal 2 binary64) x)))
(*.f64 x (fma.f64 #s(literal -2 binary64) y (*.f64 x #s(literal 2 binary64))))
(*.f64 x (*.f64 #s(literal 2 binary64) (-.f64 x y)))
(*.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 x y))
(*.f64 x (+.f64 (*.f64 #s(literal -2 binary64) y) (*.f64 #s(literal 2 binary64) x)))
(*.f64 x (fma.f64 #s(literal -2 binary64) y (*.f64 x #s(literal 2 binary64))))
(*.f64 x (*.f64 #s(literal 2 binary64) (-.f64 x y)))
(*.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 x y))
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (/.f64 y x))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -2 binary64) (/.f64 y x) #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (/.f64 y x))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -2 binary64) (/.f64 y x) #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (/.f64 y x))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -2 binary64) (/.f64 y x) #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (/.f64 y x))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -2 binary64) (/.f64 y x) #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (/.f64 y x))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -2 binary64) (/.f64 y x) #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (/.f64 y x))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -2 binary64) (/.f64 y x) #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal -2 binary64) (*.f64 x y)) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))
(*.f64 x (fma.f64 #s(literal -2 binary64) y (*.f64 x #s(literal 2 binary64))))
(*.f64 x (*.f64 #s(literal 2 binary64) (-.f64 x y)))
(*.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 x y))
(+.f64 (*.f64 #s(literal -2 binary64) (*.f64 x y)) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))
(*.f64 x (fma.f64 #s(literal -2 binary64) y (*.f64 x #s(literal 2 binary64))))
(*.f64 x (*.f64 #s(literal 2 binary64) (-.f64 x y)))
(*.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 x y))
(+.f64 (*.f64 #s(literal -2 binary64) (*.f64 x y)) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))
(*.f64 x (fma.f64 #s(literal -2 binary64) y (*.f64 x #s(literal 2 binary64))))
(*.f64 x (*.f64 #s(literal 2 binary64) (-.f64 x y)))
(*.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 x y))
(*.f64 #s(literal -2 binary64) (*.f64 x y))
(*.f64 y (*.f64 #s(literal -2 binary64) x))
(*.f64 y (+.f64 (*.f64 #s(literal -2 binary64) x) (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))))
(*.f64 y (fma.f64 #s(literal -2 binary64) x (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))))
(*.f64 y (*.f64 x (+.f64 #s(literal -2 binary64) (*.f64 x (/.f64 #s(literal 2 binary64) y)))))
(*.f64 #s(literal 2 binary64) (*.f64 y (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) x)))
(*.f64 y (+.f64 (*.f64 #s(literal -2 binary64) x) (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))))
(*.f64 y (fma.f64 #s(literal -2 binary64) x (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))))
(*.f64 y (*.f64 x (+.f64 #s(literal -2 binary64) (*.f64 x (/.f64 #s(literal 2 binary64) y)))))
(*.f64 #s(literal 2 binary64) (*.f64 y (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) x)))
(*.f64 y (+.f64 (*.f64 #s(literal -2 binary64) x) (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))))
(*.f64 y (fma.f64 #s(literal -2 binary64) x (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))))
(*.f64 y (*.f64 x (+.f64 #s(literal -2 binary64) (*.f64 x (/.f64 #s(literal 2 binary64) y)))))
(*.f64 #s(literal 2 binary64) (*.f64 y (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) x)))
(*.f64 #s(literal -2 binary64) (*.f64 x y))
(*.f64 y (*.f64 #s(literal -2 binary64) x))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (*.f64 #s(literal 2 binary64) x))))
(*.f64 y (fma.f64 #s(literal -2 binary64) x (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))))
(*.f64 y (*.f64 x (+.f64 #s(literal -2 binary64) (*.f64 x (/.f64 #s(literal 2 binary64) y)))))
(*.f64 #s(literal 2 binary64) (*.f64 y (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) x)))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (*.f64 #s(literal 2 binary64) x))))
(*.f64 y (fma.f64 #s(literal -2 binary64) x (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))))
(*.f64 y (*.f64 x (+.f64 #s(literal -2 binary64) (*.f64 x (/.f64 #s(literal 2 binary64) y)))))
(*.f64 #s(literal 2 binary64) (*.f64 y (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) x)))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (*.f64 #s(literal 2 binary64) x))))
(*.f64 y (fma.f64 #s(literal -2 binary64) x (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))))
(*.f64 y (*.f64 x (+.f64 #s(literal -2 binary64) (*.f64 x (/.f64 #s(literal 2 binary64) y)))))
(*.f64 #s(literal 2 binary64) (*.f64 y (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) x)))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 (neg.f64 x) y)
(*.f64 y (neg.f64 x))
(*.f64 x (neg.f64 y))
(*.f64 x (+.f64 x (*.f64 #s(literal -1 binary64) y)))
(*.f64 x (-.f64 x y))
(*.f64 x (+.f64 x (*.f64 #s(literal -1 binary64) y)))
(*.f64 x (-.f64 x y))
(*.f64 x (+.f64 x (*.f64 #s(literal -1 binary64) y)))
(*.f64 x (-.f64 x y))
(pow.f64 x #s(literal 2 binary64))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 y x))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 y) x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 y x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 y x))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 y) x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 y x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 y x))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 y) x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 y x)))
(pow.f64 x #s(literal 2 binary64))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 y x))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 y) x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 y x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 y x))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 y) x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 y x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 y x))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 y) x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 y x)))
(pow.f64 x #s(literal 2 binary64))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) (pow.f64 x #s(literal 2 binary64)))
(*.f64 x (-.f64 x y))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) (pow.f64 x #s(literal 2 binary64)))
(*.f64 x (-.f64 x y))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) (pow.f64 x #s(literal 2 binary64)))
(*.f64 x (-.f64 x y))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 (neg.f64 x) y)
(*.f64 y (neg.f64 x))
(*.f64 x (neg.f64 y))
(*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(*.f64 y (fma.f64 #s(literal -1 binary64) x (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(*.f64 y (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) x))
(*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(*.f64 y (fma.f64 #s(literal -1 binary64) x (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(*.f64 y (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) x))
(*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(*.f64 y (fma.f64 #s(literal -1 binary64) x (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(*.f64 y (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) x))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 (neg.f64 x) y)
(*.f64 y (neg.f64 x))
(*.f64 x (neg.f64 y))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))))
(*.f64 y (fma.f64 #s(literal -1 binary64) x (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(*.f64 y (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) x))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))))
(*.f64 y (fma.f64 #s(literal -1 binary64) x (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(*.f64 y (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) x))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))))
(*.f64 y (fma.f64 #s(literal -1 binary64) x (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(*.f64 y (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) x))
(*.f64 #s(literal -1 binary64) y)
(neg.f64 y)
x
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 y x))))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 y) x)))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 y x))))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 y) x)))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 y x))))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 y) x)))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y x)))
x
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (/.f64 y x) #s(literal 1 binary64))))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 y) x)))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y x)))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (/.f64 y x) #s(literal 1 binary64))))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 y) x)))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y x)))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (/.f64 y x) #s(literal 1 binary64))))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 y) x)))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y x)))
x
(+.f64 x (*.f64 #s(literal -1 binary64) y))
(-.f64 x y)
(+.f64 x (*.f64 #s(literal -1 binary64) y))
(-.f64 x y)
(+.f64 x (*.f64 #s(literal -1 binary64) y))
(-.f64 x y)
(*.f64 #s(literal -1 binary64) y)
(neg.f64 y)
(*.f64 y (-.f64 (/.f64 x y) #s(literal 1 binary64)))
(*.f64 y (+.f64 (/.f64 x y) #s(literal -1 binary64)))
(*.f64 y (+.f64 #s(literal -1 binary64) (/.f64 x y)))
(*.f64 y (-.f64 (/.f64 x y) #s(literal 1 binary64)))
(*.f64 y (+.f64 (/.f64 x y) #s(literal -1 binary64)))
(*.f64 y (+.f64 #s(literal -1 binary64) (/.f64 x y)))
(*.f64 y (-.f64 (/.f64 x y) #s(literal 1 binary64)))
(*.f64 y (+.f64 (/.f64 x y) #s(literal -1 binary64)))
(*.f64 y (+.f64 #s(literal -1 binary64) (/.f64 x y)))
(*.f64 #s(literal -1 binary64) y)
(neg.f64 y)
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))
(*.f64 y (+.f64 (/.f64 x y) #s(literal -1 binary64)))
(*.f64 y (+.f64 #s(literal -1 binary64) (/.f64 x y)))
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(-.f64 x y)
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (-.f64 (sqrt.f64 x) (sqrt.f64 y)) (fma.f64 (neg.f64 y) #s(literal 1 binary64) y))
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (-.f64 (sqrt.f64 x) (sqrt.f64 y)) (fma.f64 #s(literal -1 binary64) y y))
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (-.f64 (sqrt.f64 x) (sqrt.f64 y)) (*.f64 #s(literal 0 binary64) y))
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (-.f64 (sqrt.f64 x) (sqrt.f64 y)) #s(literal 0 binary64))
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (-.f64 (sqrt.f64 x) (sqrt.f64 y)) (fma.f64 (neg.f64 (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) y))
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (-.f64 (sqrt.f64 x) (sqrt.f64 y)) (fma.f64 #s(literal -1 binary64) y y))
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (-.f64 (sqrt.f64 x) (sqrt.f64 y)) (*.f64 #s(literal 0 binary64) y))
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (-.f64 (sqrt.f64 x) (sqrt.f64 y)) #s(literal 0 binary64))
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (-.f64 (sqrt.f64 x) (sqrt.f64 y)) (+.f64 (neg.f64 y) y))
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (-.f64 (sqrt.f64 x) (sqrt.f64 y)) (fma.f64 #s(literal -1 binary64) y y))
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (-.f64 (sqrt.f64 x) (sqrt.f64 y)) (*.f64 #s(literal 0 binary64) y))
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (-.f64 (sqrt.f64 x) (sqrt.f64 y)) #s(literal 0 binary64))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) x)
(-.f64 x y)

eval32.0ms (1.1%)

Compiler

Compiled 3407 to 831 computations (75.6% saved)

prune31.0ms (1.1%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New2472249
Fresh000
Picked011
Done000
Total2473250
Accuracy
100.0%
Counts
250 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
59.8%
(*.f64 y (*.f64 #s(literal -2 binary64) x))
100.0%
(*.f64 #s(literal 2 binary64) (*.f64 x (-.f64 x y)))
55.9%
(*.f64 #s(literal 2 binary64) (*.f64 x x))
Compiler

Compiled 23 to 16 computations (30.4% saved)

simplify7.0ms (0.2%)

Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 #s(literal -2 binary64) x)
cost-diff0
(*.f64 y (*.f64 #s(literal -2 binary64) x))
cost-diff0
(*.f64 x x)
cost-diff0
(*.f64 #s(literal 2 binary64) (*.f64 x x))
Rules
*-commutative
associate-*r*
associate-*l*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01375
12075
23075
33275
Stop Event
saturated
Calls
Call 1
Inputs
(*.f64 #s(literal 2 binary64) (*.f64 x x))
#s(literal 2 binary64)
(*.f64 x x)
x
(*.f64 y (*.f64 #s(literal -2 binary64) x))
y
(*.f64 #s(literal -2 binary64) x)
#s(literal -2 binary64)
x
Outputs
(*.f64 #s(literal 2 binary64) (*.f64 x x))
(*.f64 (*.f64 #s(literal 2 binary64) x) x)
(*.f64 x (*.f64 #s(literal 2 binary64) x))
#s(literal 2 binary64)
(*.f64 x x)
x
(*.f64 y (*.f64 #s(literal -2 binary64) x))
(*.f64 y (*.f64 x #s(literal -2 binary64)))
(*.f64 x (*.f64 y #s(literal -2 binary64)))
y
(*.f64 #s(literal -2 binary64) x)
(*.f64 x #s(literal -2 binary64))
#s(literal -2 binary64)
x

localize33.0ms (1.1%)

Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(*.f64 y (*.f64 #s(literal -2 binary64) x))
accuracy100.0%
(*.f64 #s(literal -2 binary64) x)
accuracy100.0%
(*.f64 x x)
accuracy100.0%
(*.f64 #s(literal 2 binary64) (*.f64 x x))
Results
25.0ms256×0valid
Compiler

Compiled 24 to 9 computations (62.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-mult: 8.0ms (97.6% of total)
const: 1.0ms (12.2% of total)
backward-pass: 0.0ms (0% of total)

series8.0ms (0.3%)

Counts
4 → 48
Calls
Call 1
Inputs
#<alt (*.f64 #s(literal 2 binary64) (*.f64 x x))>
#<alt (*.f64 x x)>
#<alt (*.f64 y (*.f64 #s(literal -2 binary64) x))>
#<alt (*.f64 #s(literal -2 binary64) x)>
Outputs
#<alt (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (*.f64 #s(literal -2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -2 binary64) (*.f64 x y))>
Calls

15 calls:

TimeVariablePointExpression
1.0ms
x
@0
(* 2 (* x x))
1.0ms
y
@inf
(* y (* -2 x))
1.0ms
x
@0
(* y (* -2 x))
1.0ms
x
@inf
(* y (* -2 x))
1.0ms
y
@0
(* y (* -2 x))

rewrite86.0ms (3%)

Algorithm
batch-egg-rewrite
Rules
614×unpow-prod-down
526×log1p-expm1-u
526×expm1-log1p-u
460×pow1
351×log-prod
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01355
113055
2150555
Stop Event
node limit
Counts
4 → 112
Calls
Call 1
Inputs
(*.f64 #s(literal 2 binary64) (*.f64 x x))
(*.f64 x x)
(*.f64 y (*.f64 #s(literal -2 binary64) x))
(*.f64 #s(literal -2 binary64) x)
Outputs
(+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 8 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal 1 binary64)) (fma.f64 #s(literal 2 binary64) (log.f64 x) (log.f64 #s(literal 2 binary64))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (fma.f64 #s(literal 2 binary64) (log.f64 x) (log.f64 #s(literal 2 binary64)))) #s(literal 2 binary64))) (cbrt.f64 (fma.f64 #s(literal 2 binary64) (log.f64 x) (log.f64 #s(literal 2 binary64)))))
(pow.f64 (exp.f64 (sqrt.f64 (fma.f64 #s(literal 2 binary64) (log.f64 x) (log.f64 #s(literal 2 binary64))))) (sqrt.f64 (fma.f64 #s(literal 2 binary64) (log.f64 x) (log.f64 #s(literal 2 binary64)))))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64)))
(log.f64 (pow.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 8 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))))
(exp.f64 (fma.f64 #s(literal 2 binary64) (log.f64 x) (log.f64 #s(literal 2 binary64))))
(exp.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (log.f64 x) (log.f64 #s(literal 2 binary64))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 8 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (log.f64 x) (log.f64 #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(exp.f64 (+.f64 (*.f64 (log.f64 x) #s(literal 1 binary64)) (log.f64 (*.f64 #s(literal 2 binary64) x))))
(exp.f64 (+.f64 (log.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (log.f64 x) #s(literal 1 binary64))))
(+.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 2 binary64)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64))
(pow.f64 (cbrt.f64 x) #s(literal 6 binary64))
(pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2/3 binary64))
(pow.f64 (sqrt.f64 x) #s(literal 4 binary64))
(pow.f64 (exp.f64 #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (log.f64 x)))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 x))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (log.f64 x))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 #s(literal 2 binary64) (log.f64 x))))
(pow.f64 (exp.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (log.f64 x))))
(sqrt.f64 (pow.f64 x #s(literal 4 binary64)))
(log.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))))
(cbrt.f64 (pow.f64 x #s(literal 6 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 x #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 x #s(literal 2 binary64))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 (cbrt.f64 x))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal 6 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(exp.f64 (+.f64 (log.f64 x) (*.f64 (log.f64 x) #s(literal 1 binary64))))
(exp.f64 (+.f64 (*.f64 (log.f64 x) #s(literal 1 binary64)) (log.f64 x)))
(exp.f64 (+.f64 (*.f64 (log.f64 x) #s(literal 1 binary64)) (*.f64 (log.f64 x) #s(literal 1 binary64))))
(+.f64 #s(literal 0 binary64) (*.f64 x (*.f64 y #s(literal -2 binary64))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) x) y)) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) x) y))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) x) y))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) x) y))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 y #s(literal -2 binary64))))) #s(literal 1 binary64))
(pow.f64 (*.f64 x (*.f64 y #s(literal -2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (*.f64 y #s(literal -2 binary64)))) #s(literal 3 binary64))
(pow.f64 (*.f64 #s(literal 4 binary64) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) #s(literal 1/2 binary64))
(pow.f64 (*.f64 #s(literal -8 binary64) (pow.f64 (*.f64 x y) #s(literal 3 binary64))) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (*.f64 y #s(literal -2 binary64)))) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal 1 binary64)) (log.f64 (*.f64 x (*.f64 y #s(literal -2 binary64)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 x (*.f64 y #s(literal -2 binary64))))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (*.f64 x (*.f64 y #s(literal -2 binary64))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 x (*.f64 y #s(literal -2 binary64)))))) (sqrt.f64 (log.f64 (*.f64 x (*.f64 y #s(literal -2 binary64))))))
(sqrt.f64 (*.f64 #s(literal 4 binary64) (pow.f64 (*.f64 x y) #s(literal 2 binary64))))
(log.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) x) y))
(cbrt.f64 (*.f64 #s(literal -8 binary64) (pow.f64 (*.f64 x y) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 x (*.f64 y #s(literal -2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 x (*.f64 y #s(literal -2 binary64)))))
(exp.f64 (log.f64 (*.f64 x (*.f64 y #s(literal -2 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 y #s(literal -2 binary64)))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x (*.f64 y #s(literal -2 binary64))))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 x (*.f64 y #s(literal -2 binary64))))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x (*.f64 y #s(literal -2 binary64))))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 x (*.f64 y #s(literal -2 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(exp.f64 (+.f64 (*.f64 (log.f64 x) #s(literal 1 binary64)) (log.f64 (*.f64 y #s(literal -2 binary64)))))
(exp.f64 (+.f64 (log.f64 y) (*.f64 (log.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 1 binary64))))
(exp.f64 (+.f64 (*.f64 (log.f64 y) #s(literal 1 binary64)) (log.f64 (*.f64 x #s(literal -2 binary64)))))
(exp.f64 (+.f64 (*.f64 (log.f64 y) #s(literal 1 binary64)) (*.f64 (log.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 1 binary64))))
(exp.f64 (+.f64 (log.f64 (*.f64 x #s(literal -2 binary64))) (*.f64 (log.f64 y) #s(literal 1 binary64))))
(exp.f64 (+.f64 (*.f64 (log.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 1 binary64)) (log.f64 y)))
(exp.f64 (+.f64 (*.f64 (log.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 1 binary64)) (*.f64 (log.f64 y) #s(literal 1 binary64))))
(exp.f64 (+.f64 (log.f64 (*.f64 y #s(literal -2 binary64))) (*.f64 (log.f64 x) #s(literal 1 binary64))))
(+.f64 #s(literal 0 binary64) (*.f64 x #s(literal -2 binary64)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) x)) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) x))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) x))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x #s(literal -2 binary64)))) #s(literal 1 binary64))
(pow.f64 (*.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -8 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal 1 binary64)) (log.f64 (*.f64 x #s(literal -2 binary64))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 x #s(literal -2 binary64)))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (*.f64 x #s(literal -2 binary64)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 x #s(literal -2 binary64))))) (sqrt.f64 (log.f64 (*.f64 x #s(literal -2 binary64)))))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) x))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -8 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x #s(literal -2 binary64))))
(log1p.f64 (expm1.f64 (*.f64 x #s(literal -2 binary64))))
(exp.f64 (log.f64 (*.f64 x #s(literal -2 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x #s(literal -2 binary64)))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 x #s(literal -2 binary64)))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x #s(literal -2 binary64)))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)))

simplify136.0ms (4.7%)

Algorithm
egg-herbie
Rules
1317×prod-exp
311×fma-define
286×exp-sum
276×exp-prod
271×associate--l+
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
02824294970293
14804294970287
27994294970287
315374294970287
434184294970263
568514294970263
Stop Event
node limit
Counts
160 → 131
Calls
Call 1
Inputs
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(*.f64 #s(literal -2 binary64) (*.f64 x y))
(*.f64 #s(literal -2 binary64) (*.f64 x y))
(*.f64 #s(literal -2 binary64) (*.f64 x y))
(*.f64 #s(literal -2 binary64) (*.f64 x y))
(*.f64 #s(literal -2 binary64) (*.f64 x y))
(*.f64 #s(literal -2 binary64) (*.f64 x y))
(*.f64 #s(literal -2 binary64) (*.f64 x y))
(*.f64 #s(literal -2 binary64) (*.f64 x y))
(*.f64 #s(literal -2 binary64) (*.f64 x y))
(*.f64 #s(literal -2 binary64) (*.f64 x y))
(*.f64 #s(literal -2 binary64) (*.f64 x y))
(*.f64 #s(literal -2 binary64) (*.f64 x y))
(*.f64 #s(literal -2 binary64) (*.f64 x y))
(*.f64 #s(literal -2 binary64) (*.f64 x y))
(*.f64 #s(literal -2 binary64) (*.f64 x y))
(*.f64 #s(literal -2 binary64) (*.f64 x y))
(*.f64 #s(literal -2 binary64) (*.f64 x y))
(*.f64 #s(literal -2 binary64) (*.f64 x y))
(*.f64 #s(literal -2 binary64) (*.f64 x y))
(*.f64 #s(literal -2 binary64) (*.f64 x y))
(*.f64 #s(literal -2 binary64) (*.f64 x y))
(*.f64 #s(literal -2 binary64) (*.f64 x y))
(*.f64 #s(literal -2 binary64) (*.f64 x y))
(*.f64 #s(literal -2 binary64) (*.f64 x y))
(+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 8 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal 1 binary64)) (fma.f64 #s(literal 2 binary64) (log.f64 x) (log.f64 #s(literal 2 binary64))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (fma.f64 #s(literal 2 binary64) (log.f64 x) (log.f64 #s(literal 2 binary64)))) #s(literal 2 binary64))) (cbrt.f64 (fma.f64 #s(literal 2 binary64) (log.f64 x) (log.f64 #s(literal 2 binary64)))))
(pow.f64 (exp.f64 (sqrt.f64 (fma.f64 #s(literal 2 binary64) (log.f64 x) (log.f64 #s(literal 2 binary64))))) (sqrt.f64 (fma.f64 #s(literal 2 binary64) (log.f64 x) (log.f64 #s(literal 2 binary64)))))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64)))
(log.f64 (pow.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 8 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))))
(exp.f64 (fma.f64 #s(literal 2 binary64) (log.f64 x) (log.f64 #s(literal 2 binary64))))
(exp.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (log.f64 x) (log.f64 #s(literal 2 binary64))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 8 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (log.f64 x) (log.f64 #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(exp.f64 (+.f64 (*.f64 (log.f64 x) #s(literal 1 binary64)) (log.f64 (*.f64 #s(literal 2 binary64) x))))
(exp.f64 (+.f64 (log.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (log.f64 x) #s(literal 1 binary64))))
(+.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 2 binary64)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64))
(pow.f64 (cbrt.f64 x) #s(literal 6 binary64))
(pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2/3 binary64))
(pow.f64 (sqrt.f64 x) #s(literal 4 binary64))
(pow.f64 (exp.f64 #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (log.f64 x)))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 x))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (log.f64 x))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 #s(literal 2 binary64) (log.f64 x))))
(pow.f64 (exp.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (log.f64 x))))
(sqrt.f64 (pow.f64 x #s(literal 4 binary64)))
(log.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))))
(cbrt.f64 (pow.f64 x #s(literal 6 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 x #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 x #s(literal 2 binary64))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 (cbrt.f64 x))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal 6 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(exp.f64 (+.f64 (log.f64 x) (*.f64 (log.f64 x) #s(literal 1 binary64))))
(exp.f64 (+.f64 (*.f64 (log.f64 x) #s(literal 1 binary64)) (log.f64 x)))
(exp.f64 (+.f64 (*.f64 (log.f64 x) #s(literal 1 binary64)) (*.f64 (log.f64 x) #s(literal 1 binary64))))
(+.f64 #s(literal 0 binary64) (*.f64 x (*.f64 y #s(literal -2 binary64))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) x) y)) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) x) y))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) x) y))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) x) y))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 y #s(literal -2 binary64))))) #s(literal 1 binary64))
(pow.f64 (*.f64 x (*.f64 y #s(literal -2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (*.f64 y #s(literal -2 binary64)))) #s(literal 3 binary64))
(pow.f64 (*.f64 #s(literal 4 binary64) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) #s(literal 1/2 binary64))
(pow.f64 (*.f64 #s(literal -8 binary64) (pow.f64 (*.f64 x y) #s(literal 3 binary64))) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (*.f64 y #s(literal -2 binary64)))) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal 1 binary64)) (log.f64 (*.f64 x (*.f64 y #s(literal -2 binary64)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 x (*.f64 y #s(literal -2 binary64))))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (*.f64 x (*.f64 y #s(literal -2 binary64))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 x (*.f64 y #s(literal -2 binary64)))))) (sqrt.f64 (log.f64 (*.f64 x (*.f64 y #s(literal -2 binary64))))))
(sqrt.f64 (*.f64 #s(literal 4 binary64) (pow.f64 (*.f64 x y) #s(literal 2 binary64))))
(log.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) x) y))
(cbrt.f64 (*.f64 #s(literal -8 binary64) (pow.f64 (*.f64 x y) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 x (*.f64 y #s(literal -2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 x (*.f64 y #s(literal -2 binary64)))))
(exp.f64 (log.f64 (*.f64 x (*.f64 y #s(literal -2 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 y #s(literal -2 binary64)))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x (*.f64 y #s(literal -2 binary64))))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 x (*.f64 y #s(literal -2 binary64))))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x (*.f64 y #s(literal -2 binary64))))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 x (*.f64 y #s(literal -2 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(exp.f64 (+.f64 (*.f64 (log.f64 x) #s(literal 1 binary64)) (log.f64 (*.f64 y #s(literal -2 binary64)))))
(exp.f64 (+.f64 (log.f64 y) (*.f64 (log.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 1 binary64))))
(exp.f64 (+.f64 (*.f64 (log.f64 y) #s(literal 1 binary64)) (log.f64 (*.f64 x #s(literal -2 binary64)))))
(exp.f64 (+.f64 (*.f64 (log.f64 y) #s(literal 1 binary64)) (*.f64 (log.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 1 binary64))))
(exp.f64 (+.f64 (log.f64 (*.f64 x #s(literal -2 binary64))) (*.f64 (log.f64 y) #s(literal 1 binary64))))
(exp.f64 (+.f64 (*.f64 (log.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 1 binary64)) (log.f64 y)))
(exp.f64 (+.f64 (*.f64 (log.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 1 binary64)) (*.f64 (log.f64 y) #s(literal 1 binary64))))
(exp.f64 (+.f64 (log.f64 (*.f64 y #s(literal -2 binary64))) (*.f64 (log.f64 x) #s(literal 1 binary64))))
(+.f64 #s(literal 0 binary64) (*.f64 x #s(literal -2 binary64)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) x)) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) x))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) x))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x #s(literal -2 binary64)))) #s(literal 1 binary64))
(pow.f64 (*.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -8 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal 1 binary64)) (log.f64 (*.f64 x #s(literal -2 binary64))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 x #s(literal -2 binary64)))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (*.f64 x #s(literal -2 binary64)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 x #s(literal -2 binary64))))) (sqrt.f64 (log.f64 (*.f64 x #s(literal -2 binary64)))))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) x))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -8 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x #s(literal -2 binary64))))
(log1p.f64 (expm1.f64 (*.f64 x #s(literal -2 binary64))))
(exp.f64 (log.f64 (*.f64 x #s(literal -2 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x #s(literal -2 binary64)))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 x #s(literal -2 binary64)))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x #s(literal -2 binary64)))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)))
Outputs
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(*.f64 #s(literal -2 binary64) (*.f64 x y))
(*.f64 x (*.f64 #s(literal -2 binary64) y))
(*.f64 #s(literal -2 binary64) (*.f64 x y))
(*.f64 x (*.f64 #s(literal -2 binary64) y))
(*.f64 #s(literal -2 binary64) (*.f64 x y))
(*.f64 x (*.f64 #s(literal -2 binary64) y))
(*.f64 #s(literal -2 binary64) (*.f64 x y))
(*.f64 x (*.f64 #s(literal -2 binary64) y))
(*.f64 #s(literal -2 binary64) (*.f64 x y))
(*.f64 x (*.f64 #s(literal -2 binary64) y))
(*.f64 #s(literal -2 binary64) (*.f64 x y))
(*.f64 x (*.f64 #s(literal -2 binary64) y))
(*.f64 #s(literal -2 binary64) (*.f64 x y))
(*.f64 x (*.f64 #s(literal -2 binary64) y))
(*.f64 #s(literal -2 binary64) (*.f64 x y))
(*.f64 x (*.f64 #s(literal -2 binary64) y))
(*.f64 #s(literal -2 binary64) (*.f64 x y))
(*.f64 x (*.f64 #s(literal -2 binary64) y))
(*.f64 #s(literal -2 binary64) (*.f64 x y))
(*.f64 x (*.f64 #s(literal -2 binary64) y))
(*.f64 #s(literal -2 binary64) (*.f64 x y))
(*.f64 x (*.f64 #s(literal -2 binary64) y))
(*.f64 #s(literal -2 binary64) (*.f64 x y))
(*.f64 x (*.f64 #s(literal -2 binary64) y))
(*.f64 #s(literal -2 binary64) (*.f64 x y))
(*.f64 x (*.f64 #s(literal -2 binary64) y))
(*.f64 #s(literal -2 binary64) (*.f64 x y))
(*.f64 x (*.f64 #s(literal -2 binary64) y))
(*.f64 #s(literal -2 binary64) (*.f64 x y))
(*.f64 x (*.f64 #s(literal -2 binary64) y))
(*.f64 #s(literal -2 binary64) (*.f64 x y))
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(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x #s(literal -2 binary64)))) #s(literal 3 binary64)))
(*.f64 x #s(literal -2 binary64))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 x #s(literal -2 binary64)))) #s(literal 1/3 binary64)))
(*.f64 x #s(literal -2 binary64))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x #s(literal -2 binary64)))) #s(literal 2 binary64)))
(*.f64 x #s(literal -2 binary64))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 x #s(literal -2 binary64))

eval16.0ms (0.6%)

Compiler

Compiled 1253 to 375 computations (70.1% saved)

prune66.0ms (2.3%)

Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New1310131
Fresh000
Picked022
Done011
Total1313134
Accuracy
100.0%
Counts
134 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
59.8%
(*.f64 y (*.f64 #s(literal -2 binary64) x))
100.0%
(*.f64 #s(literal 2 binary64) (*.f64 x (-.f64 x y)))
55.9%
(*.f64 #s(literal 2 binary64) (*.f64 x x))
Compiler

Compiled 51 to 30 computations (41.2% saved)

regimes9.0ms (0.3%)

Counts
4 → 1
Calls
Call 1
Inputs
(*.f64 #s(literal 2 binary64) (*.f64 x x))
(*.f64 y (*.f64 #s(literal -2 binary64) x))
(*.f64 #s(literal 2 binary64) (*.f64 x (-.f64 x y)))
(*.f64 #s(literal 2 binary64) (-.f64 (*.f64 x x) (*.f64 x y)))
Outputs
(*.f64 #s(literal 2 binary64) (*.f64 x (-.f64 x y)))
Calls

4 calls:

2.0ms
(*.f64 #s(literal 2 binary64) (-.f64 (*.f64 x x) (*.f64 x y)))
2.0ms
y
2.0ms
x
2.0ms
(-.f64 (*.f64 x x) (*.f64 x y))
Results
AccuracySegmentsBranch
100.0%1x
100.0%1y
100.0%1(*.f64 #s(literal 2 binary64) (-.f64 (*.f64 x x) (*.f64 x y)))
100.0%1(-.f64 (*.f64 x x) (*.f64 x y))
Compiler

Compiled 26 to 16 computations (38.5% saved)

regimes5.0ms (0.2%)

Counts
2 → 3
Calls
Call 1
Inputs
(*.f64 #s(literal 2 binary64) (*.f64 x x))
(*.f64 y (*.f64 #s(literal -2 binary64) x))
Outputs
(*.f64 y (*.f64 #s(literal -2 binary64) x))
(*.f64 #s(literal 2 binary64) (*.f64 x x))
(*.f64 y (*.f64 #s(literal -2 binary64) x))
Calls

2 calls:

3.0ms
x
2.0ms
y
Results
AccuracySegmentsBranch
80.5%3x
89.5%3y
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0.1%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

2 calls:

1.0ms
y
1.0ms
x
Results
AccuracySegmentsBranch
55.9%1x
55.9%1y
Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch11.0ms (0.4%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
8.0ms
4.963467339577983e-38
4.230478134339617e-37
2.0ms
-2.8327105625698862e-14
-2.6992605951412818e-14
Results
6.0ms112×0valid
Compiler

Compiled 128 to 95 computations (25.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 3.0ms
ival-mult: 3.0ms (91.6% of total)
ival-sub: 1.0ms (30.5% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

simplify4.0ms (0.1%)

Algorithm
egg-herbie
Rules
*-commutative
sub-neg
+-commutative
if-if-or-not
neg-sub0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
025116
138116
243116
345116
446116
Stop Event
saturated
Calls
Call 1
Inputs
(*.f64 #s(literal 2 binary64) (*.f64 x (-.f64 x y)))
(if (<=.f64 y #s(literal -2139160387885137/79228162514264337593543950336 binary64)) (*.f64 y (*.f64 #s(literal -2 binary64) x)) (if (<=.f64 y #s(literal 568699517118201/1496577676626844588240573268701473812127674924007424 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 x x)) (*.f64 y (*.f64 #s(literal -2 binary64) x))))
(*.f64 #s(literal 2 binary64) (*.f64 x x))
Outputs
(*.f64 #s(literal 2 binary64) (*.f64 x (-.f64 x y)))
(if (<=.f64 y #s(literal -2139160387885137/79228162514264337593543950336 binary64)) (*.f64 y (*.f64 #s(literal -2 binary64) x)) (if (<=.f64 y #s(literal 568699517118201/1496577676626844588240573268701473812127674924007424 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 x x)) (*.f64 y (*.f64 #s(literal -2 binary64) x))))
(if (or (<=.f64 y #s(literal -2139160387885137/79228162514264337593543950336 binary64)) (not (<=.f64 y #s(literal 568699517118201/1496577676626844588240573268701473812127674924007424 binary64)))) (*.f64 y (*.f64 x #s(literal -2 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 x x)))
(*.f64 #s(literal 2 binary64) (*.f64 x x))

soundness325.0ms (11.2%)

Rules
597×fma-neg
457×times-frac
436×div-sub
373×exp-prod
308×*-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
04176849
19006570
224666511
367826483
028212
191196
2210196
3722196
41664196
52112196
62480196
72600196
82600196
Stop Event
done
saturated
node limit
Compiler

Compiled 68 to 36 computations (47.1% saved)

preprocess31.0ms (1.1%)

Compiler

Compiled 106 to 62 computations (41.5% saved)

end0.0ms (0%)

Profiling

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