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

Time bar (total: 5.9s)

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 10 to 7 computations (30% saved)

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

sample720.0ms (12.3%)

Results
506.0ms8256×0valid
Precisions
Click to see histograms. Total time spent on operations: 253.0ms
ival-mult: 184.0ms (72.7% of total)
ival-sub: 55.0ms (21.7% of total)
const: 11.0ms (4.3% of total)
backward-pass: 3.0ms (1.2% of total)
Bogosity

preprocess109.0ms (1.9%)

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

Useful iterations: 3 (0.0ms)

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

(negabs x)

explain56.0ms (1%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(*.f64 x y)
00-0-x
00-0-#s(literal 1 binary64)
00-0-y
00-0-(*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y))
00-0-(-.f64 #s(literal 1 binary64) y)
Results
37.0ms512×0valid
Compiler

Compiled 47 to 20 computations (57.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
ival-mult: 8.0ms (67.8% of total)
ival-sub: 3.0ms (25.4% of total)
const: 1.0ms (8.5% of total)
backward-pass: 0.0ms (0% of total)

eval2.0ms (0%)

Compiler

Compiled 16 to 8 computations (50% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
99.9%
(*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y))
90.8%
(*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y)))
Compiler

Compiled 18 to 12 computations (33.3% saved)

localize85.0ms (1.4%)

Algorithm
egg-herbie
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
cost-diff0
(-.f64 #s(literal 1 binary64) y)
cost-diff0
(*.f64 x y)
cost-diff0
(*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y))
cost-diff0
(-.f64 #s(literal 1 binary64) y)
cost-diff0
(*.f64 y (-.f64 #s(literal 1 binary64) y))
cost-diff0
(*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y)))
accuracy100.0%
(-.f64 #s(literal 1 binary64) y)
accuracy100.0%
(*.f64 x y)
accuracy99.9%
(*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y))
accuracy100.0%
(-.f64 #s(literal 1 binary64) y)
accuracy100.0%
(*.f64 y (-.f64 #s(literal 1 binary64) y))
accuracy90.8%
(*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y)))
Rules
601×fma-define
148×fma-neg
87×distribute-lft-in
55×unsub-neg
50×distribute-rgt-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
013126
125126
247126
394126
4207126
5306126
6462126
7708126
81343126
91418126
101454126
Stop Event
saturated
Calls
Call 1
Inputs
(*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y)))
x
(*.f64 y (-.f64 #s(literal 1 binary64) y))
y
(-.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
(*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y))
(*.f64 x y)
x
y
(-.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
Outputs
(*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y)))
x
(*.f64 y (-.f64 #s(literal 1 binary64) y))
y
(-.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
(*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y))
(*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y)))
(*.f64 x y)
x
y
(-.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
Results
32.0ms256×0valid
Compiler

Compiled 37 to 9 computations (75.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-mult: 7.0ms (74.8% of total)
ival-sub: 2.0ms (21.4% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series11.0ms (0.2%)

Counts
5 → 60
Calls
Call 1
Inputs
#<alt (*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y)))>
#<alt (*.f64 y (-.f64 #s(literal 1 binary64) y))>
#<alt (-.f64 #s(literal 1 binary64) y)>
#<alt (*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y))>
#<alt (*.f64 x y)>
Outputs
#<alt (*.f64 x y)>
#<alt (*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 x y))))>
#<alt (*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 x y))))>
#<alt (*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 x y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 x y)))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 x y)))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 x y)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 x y)))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 x y)))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 x y)))>
#<alt y>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) y)))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) y)))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) y)))>
#<alt (*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) y))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) y))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) y))>
#<alt (*.f64 #s(literal -1 binary64) y)>
#<alt (*.f64 y (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)))>
#<alt (*.f64 y (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)))>
#<alt (*.f64 y (-.f64 (/.f64 #s(literal 1 binary64) 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) y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))))>
#<alt (*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y)))>
#<alt (*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y)))>
#<alt (*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y)))>
#<alt (*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y)))>
#<alt (*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y)))>
#<alt (*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y)))>
#<alt (*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y)))>
#<alt (*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y)))>
#<alt (*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y)))>
#<alt (*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y)))>
#<alt (*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y)))>
#<alt (*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y)))>
#<alt (*.f64 x y)>
#<alt (*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 x y))))>
#<alt (*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 x y))))>
#<alt (*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 x y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 x y)))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 x y)))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 x y)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 x y)))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 x y)))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 x y)))>
Calls

24 calls:

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

rewrite447.0ms (7.6%)

Algorithm
batch-egg-rewrite
Rules
706×unpow-prod-down
664×log1p-expm1-u
664×expm1-log1p-u
387×log-prod
176×pow-unpow
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01398
116598
2181198
Stop Event
node limit
Counts
5 → 232
Calls
Call 1
Inputs
(*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y)))
(*.f64 y (-.f64 #s(literal 1 binary64) y))
(-.f64 #s(literal 1 binary64) y)
(*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y))
(*.f64 x y)
Outputs
(+.f64 (*.f64 x y) (*.f64 (*.f64 x y) (neg.f64 y)))
(+.f64 (*.f64 x y) (*.f64 (neg.f64 y) (*.f64 x y)))
(+.f64 #s(literal 0 binary64) (*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 #s(literal 1 binary64) y)) (*.f64 x y))) (cbrt.f64 (pow.f64 (exp.f64 (-.f64 #s(literal 1 binary64) y)) (*.f64 x y))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 #s(literal 1 binary64) y)) (*.f64 x y)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 #s(literal 1 binary64) y)) (*.f64 x y)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 #s(literal 1 binary64) y)) (*.f64 x y)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y))))) #s(literal 1 binary64))
(/.f64 (*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y (+.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))) (+.f64 y #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (*.f64 x y)) (fma.f64 y (+.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) (*.f64 x y)) (+.f64 y #s(literal 1 binary64)))
(pow.f64 (*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y))) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (-.f64 #s(literal 1 binary64) y)) (*.f64 x y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y))))))
(cbrt.f64 (pow.f64 (*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y)))))
(log1p.f64 (expm1.f64 (*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y)))))
(exp.f64 (log.f64 (*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y)))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y)))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y))))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y))) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y))))) #s(literal 2 binary64)))
(fma.f64 x y (*.f64 (*.f64 x y) (neg.f64 y)))
(fma.f64 x y (*.f64 (neg.f64 y) (*.f64 x y)))
(fma.f64 y x (*.f64 (*.f64 x y) (neg.f64 y)))
(fma.f64 y x (*.f64 (neg.f64 y) (*.f64 x y)))
(fma.f64 #s(literal 1 binary64) (*.f64 x y) (*.f64 (*.f64 x y) (neg.f64 y)))
(fma.f64 #s(literal 1 binary64) (*.f64 x y) (*.f64 (neg.f64 y) (*.f64 x y)))
(fma.f64 (*.f64 x y) #s(literal 1 binary64) (*.f64 (*.f64 x y) (neg.f64 y)))
(fma.f64 (*.f64 x y) #s(literal 1 binary64) (*.f64 (neg.f64 y) (*.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) (neg.f64 y)))
(fma.f64 (cbrt.f64 (*.f64 x y)) (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (*.f64 (neg.f64 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) (neg.f64 y)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x y)) (*.f64 (neg.f64 y) (*.f64 x y)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) y) (*.f64 (*.f64 x y) (neg.f64 y)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) y) (*.f64 (neg.f64 y) (*.f64 x y)))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) x) (*.f64 (*.f64 x y) (neg.f64 y)))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) x) (*.f64 (neg.f64 y) (*.f64 x y)))
(fma.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (*.f64 x y)) (*.f64 (*.f64 x y) (neg.f64 y)))
(fma.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (*.f64 x y)) (*.f64 (neg.f64 y) (*.f64 x y)))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) y) (*.f64 (*.f64 x y) (neg.f64 y)))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) y) (*.f64 (neg.f64 y) (*.f64 x y)))
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) x) (*.f64 (*.f64 x y) (neg.f64 y)))
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) x) (*.f64 (neg.f64 y) (*.f64 x y)))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (*.f64 (*.f64 x y) (neg.f64 y)))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (*.f64 (neg.f64 y) (*.f64 x y)))
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(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (*.f64 (*.f64 x y) (neg.f64 y)))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (*.f64 (neg.f64 y) (*.f64 x y)))
(fma.f64 (*.f64 x (sqrt.f64 y)) (sqrt.f64 y) (*.f64 (*.f64 x y) (neg.f64 y)))
(fma.f64 (*.f64 x (sqrt.f64 y)) (sqrt.f64 y) (*.f64 (neg.f64 y) (*.f64 x y)))
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (*.f64 (*.f64 x y) (neg.f64 y)))
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (*.f64 (neg.f64 y) (*.f64 x y)))
(fma.f64 (*.f64 y (sqrt.f64 x)) (sqrt.f64 x) (*.f64 (*.f64 x y) (neg.f64 y)))
(fma.f64 (*.f64 y (sqrt.f64 x)) (sqrt.f64 x) (*.f64 (neg.f64 y) (*.f64 x y)))
(+.f64 #s(literal 0 binary64) (*.f64 x y))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 y) x)) (cbrt.f64 (pow.f64 (exp.f64 y) x)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) x))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) x))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x y))) #s(literal 1 binary64))
(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))
(sqrt.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 y) x))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x y))))
(cbrt.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x y)))
(log1p.f64 (expm1.f64 (*.f64 x y)))
(exp.f64 (log.f64 (*.f64 x y)))
(exp.f64 (*.f64 (log.f64 (*.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)))

simplify193.0ms (3.3%)

Algorithm
egg-herbie
Rules
607×exp-prod
419×cube-prod
383×fabs-mul
359×prod-exp
339×*-commutative
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
03968277
17967271
220947230
357537199
Stop Event
node limit
Counts
292 → 228
Calls
Call 1
Inputs
(*.f64 x y)
(*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 x y))))
(*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 x y))))
(*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 x y))))
(*.f64 #s(literal -1 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64))))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 x y)))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 x y)))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 x y)))
(*.f64 #s(literal -1 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64))))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 x y)))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 x y)))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 x y)))
y
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) y)))
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) y)))
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) y)))
(*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64)))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64)))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) y))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) y))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) y))
(*.f64 #s(literal -1 binary64) y)
(*.f64 y (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)))
(*.f64 y (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)))
(*.f64 y (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) y)
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))))
(*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y)))
(*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y)))
(*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y)))
(*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y)))
(*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y)))
(*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y)))
(*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y)))
(*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y)))
(*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y)))
(*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y)))
(*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y)))
(*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y)))
(*.f64 x y)
(*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 x y))))
(*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 x y))))
(*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 x y))))
(*.f64 #s(literal -1 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64))))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 x y)))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 x y)))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 x y)))
(*.f64 #s(literal -1 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64))))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 x y)))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 x y)))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 x y)))
(+.f64 (*.f64 x y) (*.f64 (*.f64 x y) (neg.f64 y)))
(+.f64 (*.f64 x y) (*.f64 (neg.f64 y) (*.f64 x y)))
(+.f64 #s(literal 0 binary64) (*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 #s(literal 1 binary64) y)) (*.f64 x y))) (cbrt.f64 (pow.f64 (exp.f64 (-.f64 #s(literal 1 binary64) y)) (*.f64 x y))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 #s(literal 1 binary64) y)) (*.f64 x y)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 #s(literal 1 binary64) y)) (*.f64 x y)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 #s(literal 1 binary64) y)) (*.f64 x y)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y))))) #s(literal 1 binary64))
(/.f64 (*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y (+.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))) (+.f64 y #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (*.f64 x y)) (fma.f64 y (+.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) (*.f64 x y)) (+.f64 y #s(literal 1 binary64)))
(pow.f64 (*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y))) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (-.f64 #s(literal 1 binary64) y)) (*.f64 x y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y))))))
(cbrt.f64 (pow.f64 (*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y)))))
(log1p.f64 (expm1.f64 (*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y)))))
(exp.f64 (log.f64 (*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y)))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y)))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y))))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y))) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y))))) #s(literal 2 binary64)))
(fma.f64 x y (*.f64 (*.f64 x y) (neg.f64 y)))
(fma.f64 x y (*.f64 (neg.f64 y) (*.f64 x y)))
(fma.f64 y x (*.f64 (*.f64 x y) (neg.f64 y)))
(fma.f64 y x (*.f64 (neg.f64 y) (*.f64 x y)))
(fma.f64 #s(literal 1 binary64) (*.f64 x y) (*.f64 (*.f64 x y) (neg.f64 y)))
(fma.f64 #s(literal 1 binary64) (*.f64 x y) (*.f64 (neg.f64 y) (*.f64 x y)))
(fma.f64 (*.f64 x y) #s(literal 1 binary64) (*.f64 (*.f64 x y) (neg.f64 y)))
(fma.f64 (*.f64 x y) #s(literal 1 binary64) (*.f64 (neg.f64 y) (*.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) (neg.f64 y)))
(fma.f64 (cbrt.f64 (*.f64 x y)) (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (*.f64 (neg.f64 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) (neg.f64 y)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x y)) (*.f64 (neg.f64 y) (*.f64 x y)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) y) (*.f64 (*.f64 x y) (neg.f64 y)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) y) (*.f64 (neg.f64 y) (*.f64 x y)))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) x) (*.f64 (*.f64 x y) (neg.f64 y)))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) x) (*.f64 (neg.f64 y) (*.f64 x y)))
(fma.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (*.f64 x y)) (*.f64 (*.f64 x y) (neg.f64 y)))
(fma.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (*.f64 x y)) (*.f64 (neg.f64 y) (*.f64 x y)))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) y) (*.f64 (*.f64 x y) (neg.f64 y)))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) y) (*.f64 (neg.f64 y) (*.f64 x y)))
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) x) (*.f64 (*.f64 x y) (neg.f64 y)))
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) x) (*.f64 (neg.f64 y) (*.f64 x y)))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (*.f64 (*.f64 x y) (neg.f64 y)))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (*.f64 (neg.f64 y) (*.f64 x y)))
(fma.f64 (*.f64 x (sqrt.f64 y)) (sqrt.f64 y) (*.f64 (*.f64 x y) (neg.f64 y)))
(fma.f64 (*.f64 x (sqrt.f64 y)) (sqrt.f64 y) (*.f64 (neg.f64 y) (*.f64 x y)))
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (*.f64 (*.f64 x y) (neg.f64 y)))
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (*.f64 (neg.f64 y) (*.f64 x y)))
(fma.f64 (*.f64 y (sqrt.f64 x)) (sqrt.f64 x) (*.f64 (*.f64 x y) (neg.f64 y)))
(fma.f64 (*.f64 y (sqrt.f64 x)) (sqrt.f64 x) (*.f64 (neg.f64 y) (*.f64 x y)))
(+.f64 y (neg.f64 (pow.f64 y #s(literal 2 binary64))))
(+.f64 y (*.f64 y (neg.f64 y)))
(+.f64 #s(literal 0 binary64) (*.f64 y (-.f64 #s(literal 1 binary64) y)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (-.f64 #s(literal 1 binary64) y))) (cbrt.f64 (pow.f64 (exp.f64 y) (-.f64 #s(literal 1 binary64) y))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (-.f64 #s(literal 1 binary64) y)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (-.f64 #s(literal 1 binary64) y)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (-.f64 #s(literal 1 binary64) y)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (-.f64 #s(literal 1 binary64) y)))) #s(literal 1 binary64))
(/.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y (+.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))) (+.f64 y #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) y) (fma.f64 y (+.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) y) (+.f64 y #s(literal 1 binary64)))
(pow.f64 (*.f64 y (-.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 y (-.f64 #s(literal 1 binary64) y))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y (-.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 y (-.f64 #s(literal 1 binary64) y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 y (-.f64 #s(literal 1 binary64) y))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 y (-.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 y) (-.f64 #s(literal 1 binary64) y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (-.f64 #s(literal 1 binary64) y)))))
(cbrt.f64 (pow.f64 (*.f64 y (-.f64 #s(literal 1 binary64) y)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 y (-.f64 #s(literal 1 binary64) y))))
(log1p.f64 (expm1.f64 (*.f64 y (-.f64 #s(literal 1 binary64) y))))
(exp.f64 (log.f64 (*.f64 y (-.f64 #s(literal 1 binary64) y))))
(exp.f64 (*.f64 (log.f64 (*.f64 y (-.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 y (-.f64 #s(literal 1 binary64) y)))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 y (-.f64 #s(literal 1 binary64) y)))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 y (-.f64 #s(literal 1 binary64) y)))) #s(literal 2 binary64)))
(fma.f64 y #s(literal 1 binary64) (neg.f64 (pow.f64 y #s(literal 2 binary64))))
(fma.f64 y #s(literal 1 binary64) (*.f64 y (neg.f64 y)))
(fma.f64 #s(literal 1 binary64) y (neg.f64 (pow.f64 y #s(literal 2 binary64))))
(fma.f64 #s(literal 1 binary64) y (*.f64 y (neg.f64 y)))
(fma.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (neg.f64 (pow.f64 y #s(literal 2 binary64))))
(fma.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 y (neg.f64 y)))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 y) (neg.f64 (pow.f64 y #s(literal 2 binary64))))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 y) (*.f64 y (neg.f64 y)))
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) (neg.f64 (pow.f64 y #s(literal 2 binary64))))
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) (*.f64 y (neg.f64 y)))
(+.f64 #s(literal 1 binary64) (neg.f64 y))
(+.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) y))
(+.f64 (neg.f64 y) #s(literal 1 binary64))
(+.f64 (log.f64 (exp.f64 #s(literal 1 binary64))) (neg.f64 y))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (-.f64 #s(literal 1 binary64) y))) (cbrt.f64 (exp.f64 (-.f64 #s(literal 1 binary64) y))))) (log.f64 (cbrt.f64 (exp.f64 (-.f64 #s(literal 1 binary64) y)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 #s(literal 1 binary64) y)))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 #s(literal 1 binary64) y)))))
(*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y))
(*.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 1 binary64) y) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) y)) (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) y)) (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)) (cbrt.f64 (-.f64 #s(literal 1 binary64) y)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) y))) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) y)) (sqrt.f64 (-.f64 #s(literal 1 binary64) y)))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 y #s(literal 1 binary64)) #s(literal 1 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 y #s(literal 1 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) y))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) y))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) y))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) y))) (cbrt.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) y)))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) y))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) y))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) y))) #s(literal 3 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (-.f64 #s(literal 1 binary64) y))
(*.f64 (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (-.f64 #s(literal 1 binary64) y)))
(*.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (sqrt.f64 (-.f64 #s(literal 1 binary64) y))) #s(literal 1/3 binary64)) (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (sqrt.f64 (-.f64 #s(literal 1 binary64) y))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) y)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) y))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) y)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) y))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) y))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) y))) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (+.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y (+.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) (+.f64 y #s(literal 1 binary64)))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 y (+.f64 y #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))) (neg.f64 (+.f64 y #s(literal 1 binary64))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 y) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (neg.f64 y) (neg.f64 y)) (neg.f64 y))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 y) (neg.f64 y))) (-.f64 #s(literal 1 binary64) (neg.f64 y)))
(pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64))
(pow.f64 (/.f64 (fma.f64 y (+.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 y #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))) #s(literal -1 binary64))
(sqrt.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)))
(log.f64 (exp.f64 (-.f64 #s(literal 1 binary64) y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 #s(literal 1 binary64) y))))
(cbrt.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (-.f64 #s(literal 1 binary64) y)))
(log1p.f64 (expm1.f64 (-.f64 #s(literal 1 binary64) y)))
(exp.f64 (log1p.f64 (neg.f64 y)))
(exp.f64 (*.f64 (log1p.f64 (neg.f64 y)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (log1p.f64 (neg.f64 y))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log1p.f64 (neg.f64 y))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log1p.f64 (neg.f64 y))) #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (neg.f64 y) #s(literal 1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 y)) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 y) (neg.f64 (sqrt.f64 y)) #s(literal 1 binary64))
(fma.f64 (*.f64 (cbrt.f64 (neg.f64 y)) (cbrt.f64 (neg.f64 y))) (cbrt.f64 (neg.f64 y)) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 (neg.f64 y)) (sqrt.f64 (neg.f64 y)) #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) y #s(literal 1 binary64))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) #s(literal 1 binary64))
(fma.f64 (neg.f64 (sqrt.f64 y)) (sqrt.f64 y) #s(literal 1 binary64))
(+.f64 (*.f64 x y) (*.f64 (*.f64 x y) (neg.f64 y)))
(+.f64 (*.f64 x y) (*.f64 (neg.f64 y) (*.f64 x y)))
(+.f64 #s(literal 0 binary64) (*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 #s(literal 1 binary64) y)) (*.f64 x y))) (cbrt.f64 (pow.f64 (exp.f64 (-.f64 #s(literal 1 binary64) y)) (*.f64 x y))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 #s(literal 1 binary64) y)) (*.f64 x y)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 #s(literal 1 binary64) y)) (*.f64 x y)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 #s(literal 1 binary64) y)) (*.f64 x y)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y))))) #s(literal 1 binary64))
(/.f64 (*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y (+.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))) (+.f64 y #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (*.f64 x y)) (fma.f64 y (+.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) (*.f64 x y)) (+.f64 y #s(literal 1 binary64)))
(pow.f64 (*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y))) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (-.f64 #s(literal 1 binary64) y)) (*.f64 x y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y))))))
(cbrt.f64 (pow.f64 (*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y)))))
(log1p.f64 (expm1.f64 (*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y)))))
(exp.f64 (log.f64 (*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y)))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y)))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y))))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y))) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y))))) #s(literal 2 binary64)))
(fma.f64 x y (*.f64 (*.f64 x y) (neg.f64 y)))
(fma.f64 x y (*.f64 (neg.f64 y) (*.f64 x y)))
(fma.f64 y x (*.f64 (*.f64 x y) (neg.f64 y)))
(fma.f64 y x (*.f64 (neg.f64 y) (*.f64 x y)))
(fma.f64 #s(literal 1 binary64) (*.f64 x y) (*.f64 (*.f64 x y) (neg.f64 y)))
(fma.f64 #s(literal 1 binary64) (*.f64 x y) (*.f64 (neg.f64 y) (*.f64 x y)))
(fma.f64 (*.f64 x y) #s(literal 1 binary64) (*.f64 (*.f64 x y) (neg.f64 y)))
(fma.f64 (*.f64 x y) #s(literal 1 binary64) (*.f64 (neg.f64 y) (*.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) (neg.f64 y)))
(fma.f64 (cbrt.f64 (*.f64 x y)) (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (*.f64 (neg.f64 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) (neg.f64 y)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x y)) (*.f64 (neg.f64 y) (*.f64 x y)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) y) (*.f64 (*.f64 x y) (neg.f64 y)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) y) (*.f64 (neg.f64 y) (*.f64 x y)))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) x) (*.f64 (*.f64 x y) (neg.f64 y)))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) x) (*.f64 (neg.f64 y) (*.f64 x y)))
(fma.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (*.f64 x y)) (*.f64 (*.f64 x y) (neg.f64 y)))
(fma.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (*.f64 x y)) (*.f64 (neg.f64 y) (*.f64 x y)))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) y) (*.f64 (*.f64 x y) (neg.f64 y)))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) y) (*.f64 (neg.f64 y) (*.f64 x y)))
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) x) (*.f64 (*.f64 x y) (neg.f64 y)))
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) x) (*.f64 (neg.f64 y) (*.f64 x y)))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (*.f64 (*.f64 x y) (neg.f64 y)))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (*.f64 (neg.f64 y) (*.f64 x y)))
(fma.f64 (*.f64 x (sqrt.f64 y)) (sqrt.f64 y) (*.f64 (*.f64 x y) (neg.f64 y)))
(fma.f64 (*.f64 x (sqrt.f64 y)) (sqrt.f64 y) (*.f64 (neg.f64 y) (*.f64 x y)))
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (*.f64 (*.f64 x y) (neg.f64 y)))
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (*.f64 (neg.f64 y) (*.f64 x y)))
(fma.f64 (*.f64 y (sqrt.f64 x)) (sqrt.f64 x) (*.f64 (*.f64 x y) (neg.f64 y)))
(fma.f64 (*.f64 y (sqrt.f64 x)) (sqrt.f64 x) (*.f64 (neg.f64 y) (*.f64 x y)))
(+.f64 #s(literal 0 binary64) (*.f64 x y))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 y) x)) (cbrt.f64 (pow.f64 (exp.f64 y) x)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) x))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) x))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x y))) #s(literal 1 binary64))
(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))
(sqrt.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 y) x))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x y))))
(cbrt.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x y)))
(log1p.f64 (expm1.f64 (*.f64 x y)))
(exp.f64 (log.f64 (*.f64 x y)))
(exp.f64 (*.f64 (log.f64 (*.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)))
Outputs
(*.f64 x y)
(*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 x y))))
(*.f64 y (+.f64 x (*.f64 (neg.f64 x) y)))
(*.f64 x (-.f64 y (pow.f64 y #s(literal 2 binary64))))
(*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 x y))))
(*.f64 y (+.f64 x (*.f64 (neg.f64 x) y)))
(*.f64 x (-.f64 y (pow.f64 y #s(literal 2 binary64))))
(*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 x y))))
(*.f64 y (+.f64 x (*.f64 (neg.f64 x) y)))
(*.f64 x (-.f64 y (pow.f64 y #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64))))
(*.f64 (neg.f64 x) (pow.f64 y #s(literal 2 binary64)))
(neg.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 x y)))
(*.f64 y (+.f64 x (*.f64 (neg.f64 x) y)))
(*.f64 x (-.f64 y (pow.f64 y #s(literal 2 binary64))))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 x y)))
(*.f64 y (+.f64 x (*.f64 (neg.f64 x) y)))
(*.f64 x (-.f64 y (pow.f64 y #s(literal 2 binary64))))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 x y)))
(*.f64 y (+.f64 x (*.f64 (neg.f64 x) y)))
(*.f64 x (-.f64 y (pow.f64 y #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64))))
(*.f64 (neg.f64 x) (pow.f64 y #s(literal 2 binary64)))
(neg.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 x y)))
(*.f64 y (+.f64 x (*.f64 (neg.f64 x) y)))
(*.f64 x (-.f64 y (pow.f64 y #s(literal 2 binary64))))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 x y)))
(*.f64 y (+.f64 x (*.f64 (neg.f64 x) y)))
(*.f64 x (-.f64 y (pow.f64 y #s(literal 2 binary64))))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 x y)))
(*.f64 y (+.f64 x (*.f64 (neg.f64 x) y)))
(*.f64 x (-.f64 y (pow.f64 y #s(literal 2 binary64))))
y
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) y)))
(*.f64 y (-.f64 #s(literal 1 binary64) y))
(-.f64 y (pow.f64 y #s(literal 2 binary64)))
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) y)))
(*.f64 y (-.f64 #s(literal 1 binary64) y))
(-.f64 y (pow.f64 y #s(literal 2 binary64)))
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) y)))
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(*.f64 y (+.f64 x (*.f64 (neg.f64 x) y)))
(*.f64 x (-.f64 y (pow.f64 y #s(literal 2 binary64))))
(fma.f64 (*.f64 x y) #s(literal 1 binary64) (*.f64 (*.f64 x y) (neg.f64 y)))
(*.f64 y (+.f64 x (*.f64 (neg.f64 x) y)))
(*.f64 x (-.f64 y (pow.f64 y #s(literal 2 binary64))))
(fma.f64 (*.f64 x y) #s(literal 1 binary64) (*.f64 (neg.f64 y) (*.f64 x y)))
(*.f64 y (+.f64 x (*.f64 (neg.f64 x) y)))
(*.f64 x (-.f64 y (pow.f64 y #s(literal 2 binary64))))
(fma.f64 (cbrt.f64 (*.f64 x y)) (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (*.f64 (*.f64 x y) (neg.f64 y)))
(*.f64 y (+.f64 x (*.f64 (neg.f64 x) y)))
(*.f64 x (-.f64 y (pow.f64 y #s(literal 2 binary64))))
(fma.f64 (cbrt.f64 (*.f64 x y)) (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (*.f64 (neg.f64 y) (*.f64 x y)))
(*.f64 y (+.f64 x (*.f64 (neg.f64 x) y)))
(*.f64 x (-.f64 y (pow.f64 y #s(literal 2 binary64))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x y)) (*.f64 (*.f64 x y) (neg.f64 y)))
(*.f64 y (+.f64 x (*.f64 (neg.f64 x) y)))
(*.f64 x (-.f64 y (pow.f64 y #s(literal 2 binary64))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x y)) (*.f64 (neg.f64 y) (*.f64 x y)))
(*.f64 y (+.f64 x (*.f64 (neg.f64 x) y)))
(*.f64 x (-.f64 y (pow.f64 y #s(literal 2 binary64))))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) y) (*.f64 (*.f64 x y) (neg.f64 y)))
(*.f64 y (+.f64 x (*.f64 (neg.f64 x) y)))
(*.f64 x (-.f64 y (pow.f64 y #s(literal 2 binary64))))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) y) (*.f64 (neg.f64 y) (*.f64 x y)))
(*.f64 y (+.f64 x (*.f64 (neg.f64 x) y)))
(*.f64 x (-.f64 y (pow.f64 y #s(literal 2 binary64))))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) x) (*.f64 (*.f64 x y) (neg.f64 y)))
(*.f64 y (+.f64 x (*.f64 (neg.f64 x) y)))
(*.f64 x (-.f64 y (pow.f64 y #s(literal 2 binary64))))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) x) (*.f64 (neg.f64 y) (*.f64 x y)))
(*.f64 y (+.f64 x (*.f64 (neg.f64 x) y)))
(*.f64 x (-.f64 y (pow.f64 y #s(literal 2 binary64))))
(fma.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (*.f64 x y)) (*.f64 (*.f64 x y) (neg.f64 y)))
(*.f64 y (+.f64 x (*.f64 (neg.f64 x) y)))
(*.f64 x (-.f64 y (pow.f64 y #s(literal 2 binary64))))
(fma.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (*.f64 x y)) (*.f64 (neg.f64 y) (*.f64 x y)))
(*.f64 y (+.f64 x (*.f64 (neg.f64 x) y)))
(*.f64 x (-.f64 y (pow.f64 y #s(literal 2 binary64))))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) y) (*.f64 (*.f64 x y) (neg.f64 y)))
(*.f64 y (+.f64 x (*.f64 (neg.f64 x) y)))
(*.f64 x (-.f64 y (pow.f64 y #s(literal 2 binary64))))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) y) (*.f64 (neg.f64 y) (*.f64 x y)))
(*.f64 y (+.f64 x (*.f64 (neg.f64 x) y)))
(*.f64 x (-.f64 y (pow.f64 y #s(literal 2 binary64))))
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) x) (*.f64 (*.f64 x y) (neg.f64 y)))
(*.f64 y (+.f64 x (*.f64 (neg.f64 x) y)))
(*.f64 x (-.f64 y (pow.f64 y #s(literal 2 binary64))))
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) x) (*.f64 (neg.f64 y) (*.f64 x y)))
(*.f64 y (+.f64 x (*.f64 (neg.f64 x) y)))
(*.f64 x (-.f64 y (pow.f64 y #s(literal 2 binary64))))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (*.f64 (*.f64 x y) (neg.f64 y)))
(*.f64 y (+.f64 x (*.f64 (neg.f64 x) y)))
(*.f64 x (-.f64 y (pow.f64 y #s(literal 2 binary64))))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (*.f64 (neg.f64 y) (*.f64 x y)))
(*.f64 y (+.f64 x (*.f64 (neg.f64 x) y)))
(*.f64 x (-.f64 y (pow.f64 y #s(literal 2 binary64))))
(fma.f64 (*.f64 x (sqrt.f64 y)) (sqrt.f64 y) (*.f64 (*.f64 x y) (neg.f64 y)))
(*.f64 y (+.f64 x (*.f64 (neg.f64 x) y)))
(*.f64 x (-.f64 y (pow.f64 y #s(literal 2 binary64))))
(fma.f64 (*.f64 x (sqrt.f64 y)) (sqrt.f64 y) (*.f64 (neg.f64 y) (*.f64 x y)))
(*.f64 y (+.f64 x (*.f64 (neg.f64 x) y)))
(*.f64 x (-.f64 y (pow.f64 y #s(literal 2 binary64))))
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (*.f64 (*.f64 x y) (neg.f64 y)))
(*.f64 y (+.f64 x (*.f64 (neg.f64 x) y)))
(*.f64 x (-.f64 y (pow.f64 y #s(literal 2 binary64))))
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (*.f64 (neg.f64 y) (*.f64 x y)))
(*.f64 y (+.f64 x (*.f64 (neg.f64 x) y)))
(*.f64 x (-.f64 y (pow.f64 y #s(literal 2 binary64))))
(fma.f64 (*.f64 y (sqrt.f64 x)) (sqrt.f64 x) (*.f64 (*.f64 x y) (neg.f64 y)))
(*.f64 y (+.f64 x (*.f64 (neg.f64 x) y)))
(*.f64 x (-.f64 y (pow.f64 y #s(literal 2 binary64))))
(fma.f64 (*.f64 y (sqrt.f64 x)) (sqrt.f64 x) (*.f64 (neg.f64 y) (*.f64 x y)))
(*.f64 y (+.f64 x (*.f64 (neg.f64 x) y)))
(*.f64 x (-.f64 y (pow.f64 y #s(literal 2 binary64))))
(+.f64 #s(literal 0 binary64) (*.f64 x y))
(*.f64 x y)
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 y) x)) (cbrt.f64 (pow.f64 (exp.f64 y) x)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) x))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) x))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) x))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x y))) #s(literal 1 binary64))
(*.f64 x y)
(pow.f64 (*.f64 x y) #s(literal 1 binary64))
(*.f64 x y)
(pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 3 binary64))
(*.f64 x y)
(pow.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(*.f64 x y)
(pow.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 x y)
(pow.f64 (sqrt.f64 (*.f64 x y)) #s(literal 2 binary64))
(*.f64 x y)
(sqrt.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)))
(*.f64 x y)
(log.f64 (pow.f64 (exp.f64 y) x))
(*.f64 x y)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x y))))
(*.f64 x y)
(cbrt.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)))
(*.f64 x y)
(expm1.f64 (log1p.f64 (*.f64 x y)))
(*.f64 x y)
(log1p.f64 (expm1.f64 (*.f64 x y)))
(*.f64 x y)
(exp.f64 (log.f64 (*.f64 x y)))
(*.f64 x y)
(exp.f64 (*.f64 (log.f64 (*.f64 x y)) #s(literal 1 binary64)))
(*.f64 x y)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x y))) #s(literal 3 binary64)))
(*.f64 x y)
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 x y))) #s(literal 1/3 binary64)))
(*.f64 x y)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x y))) #s(literal 2 binary64)))
(*.f64 x y)

eval39.0ms (0.7%)

Compiler

Compiled 4035 to 765 computations (81% saved)

prune51.0ms (0.9%)

Pruning

10 alts after pruning (8 fresh and 2 done)

PrunedKeptTotal
New2988306
Fresh000
Picked022
Done000
Total29810308
Accuracy
100.0%
Counts
308 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
67.9%
(/.f64 (*.f64 x (+.f64 y (neg.f64 (pow.f64 y #s(literal 4 binary64))))) (fma.f64 y (+.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)))
73.0%
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 x y)))
51.1%
(*.f64 (*.f64 x y) (fma.f64 (sqrt.f64 y) (neg.f64 (sqrt.f64 y)) #s(literal 1 binary64)))
99.4%
(*.f64 (*.f64 x y) (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) y)) #s(literal 3 binary64)))
99.9%
(*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y))
99.4%
(*.f64 (*.f64 x y) (*.f64 (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)) (cbrt.f64 (-.f64 #s(literal 1 binary64) y))))
61.3%
(*.f64 (*.f64 x y) (neg.f64 y))
90.8%
(*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y)))
52.2%
(*.f64 x (*.f64 y (neg.f64 y)))
53.6%
(*.f64 x y)
Compiler

Compiled 204 to 132 computations (35.3% saved)

localize472.0ms (8.1%)

Algorithm
egg-herbie
Localize:

Found 32 expressions of interest:

NewMetricScoreProgram
cost-diff0
(pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64))
cost-diff0
(*.f64 x y)
cost-diff19520
(*.f64 (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)) (cbrt.f64 (-.f64 #s(literal 1 binary64) y)))
cost-diff19520
(*.f64 (*.f64 x y) (*.f64 (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)) (cbrt.f64 (-.f64 #s(literal 1 binary64) y))))
cost-diff0
(neg.f64 (pow.f64 y #s(literal 4 binary64)))
cost-diff64
(+.f64 y (neg.f64 (pow.f64 y #s(literal 4 binary64))))
cost-diff64
(*.f64 x (+.f64 y (neg.f64 (pow.f64 y #s(literal 4 binary64)))))
cost-diff64
(/.f64 (*.f64 x (+.f64 y (neg.f64 (pow.f64 y #s(literal 4 binary64))))) (fma.f64 y (+.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)))
cost-diff0
(neg.f64 y)
cost-diff0
(*.f64 x y)
cost-diff0
(*.f64 (*.f64 x y) (neg.f64 y))
cost-diff0
(*.f64 x y)
cost-diff0
(cbrt.f64 (-.f64 #s(literal 1 binary64) y))
cost-diff0
(*.f64 x y)
cost-diff12864
(pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) y)) #s(literal 3 binary64))
cost-diff12864
(*.f64 (*.f64 x y) (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) y)) #s(literal 3 binary64)))
accuracy99.9%
(*.f64 (*.f64 x y) (*.f64 (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)) (cbrt.f64 (-.f64 #s(literal 1 binary64) y))))
accuracy99.7%
(*.f64 (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)) (cbrt.f64 (-.f64 #s(literal 1 binary64) y)))
accuracy99.6%
(pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64))
accuracy99.6%
(cbrt.f64 (-.f64 #s(literal 1 binary64) y))
accuracy100.0%
(neg.f64 (pow.f64 y #s(literal 4 binary64)))
accuracy100.0%
(+.f64 y (neg.f64 (pow.f64 y #s(literal 4 binary64))))
accuracy98.5%
(*.f64 x (+.f64 y (neg.f64 (pow.f64 y #s(literal 4 binary64)))))
accuracy69.5%
(/.f64 (*.f64 x (+.f64 y (neg.f64 (pow.f64 y #s(literal 4 binary64))))) (fma.f64 y (+.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)))
accuracy100.0%
(*.f64 x y)
accuracy100.0%
(neg.f64 y)
accuracy99.8%
(*.f64 (*.f64 x y) (neg.f64 y))
accuracy100.0%
(*.f64 x y)
accuracy100.0%
(*.f64 x y)
accuracy99.9%
(*.f64 (*.f64 x y) (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) y)) #s(literal 3 binary64)))
accuracy99.6%
(cbrt.f64 (-.f64 #s(literal 1 binary64) y))
accuracy99.4%
(pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) y)) #s(literal 3 binary64))
Rules
1691×fma-define
1000×fma-neg
296×times-frac
291×distribute-lft-in
275×unsub-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
030432
169432
2155432
3305432
4673432
51410432
62361432
73766432
84646432
94896432
104959432
114970432
124998432
135094432
146302432
156614432
166614432
176614432
186614432
Stop Event
saturated
Calls
Call 1
Inputs
(*.f64 (*.f64 x y) (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) y)) #s(literal 3 binary64)))
(*.f64 x y)
x
y
(pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) y)) #s(literal 3 binary64))
(cbrt.f64 (-.f64 #s(literal 1 binary64) y))
(-.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
#s(literal 3 binary64)
(*.f64 x y)
x
y
(*.f64 (*.f64 x y) (neg.f64 y))
(*.f64 x y)
x
y
(neg.f64 y)
(/.f64 (*.f64 x (+.f64 y (neg.f64 (pow.f64 y #s(literal 4 binary64))))) (fma.f64 y (+.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 x (+.f64 y (neg.f64 (pow.f64 y #s(literal 4 binary64)))))
x
(+.f64 y (neg.f64 (pow.f64 y #s(literal 4 binary64))))
y
(neg.f64 (pow.f64 y #s(literal 4 binary64)))
(pow.f64 y #s(literal 4 binary64))
#s(literal 4 binary64)
(fma.f64 y (+.f64 y #s(literal 1 binary64)) #s(literal 1 binary64))
(+.f64 y #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 (*.f64 x y) (*.f64 (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)) (cbrt.f64 (-.f64 #s(literal 1 binary64) y))))
(*.f64 x y)
x
y
(*.f64 (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)) (cbrt.f64 (-.f64 #s(literal 1 binary64) y)))
(pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64))
(cbrt.f64 (-.f64 #s(literal 1 binary64) y))
(-.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
#s(literal 2 binary64)
Outputs
(*.f64 (*.f64 x y) (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) y)) #s(literal 3 binary64)))
(*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y)))
(*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y))
(*.f64 y (*.f64 x (-.f64 #s(literal 1 binary64) y)))
(*.f64 x y)
x
y
(pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) y)) #s(literal 3 binary64))
(-.f64 #s(literal 1 binary64) y)
(cbrt.f64 (-.f64 #s(literal 1 binary64) y))
(-.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
#s(literal 3 binary64)
(*.f64 x y)
x
y
(*.f64 (*.f64 x y) (neg.f64 y))
(*.f64 x (*.f64 y (neg.f64 y)))
(*.f64 y (*.f64 x (neg.f64 y)))
(*.f64 x y)
x
y
(neg.f64 y)
(/.f64 (*.f64 x (+.f64 y (neg.f64 (pow.f64 y #s(literal 4 binary64))))) (fma.f64 y (+.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 x (-.f64 y (pow.f64 y #s(literal 4 binary64)))) (fma.f64 y (+.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (-.f64 y (pow.f64 y #s(literal 4 binary64))) (/.f64 x (fma.f64 y (+.f64 y #s(literal 1 binary64)) #s(literal 1 binary64))))
(*.f64 x (/.f64 (-.f64 y (pow.f64 y #s(literal 4 binary64))) (fma.f64 y (+.f64 y #s(literal 1 binary64)) #s(literal 1 binary64))))
(*.f64 x (+.f64 y (neg.f64 (pow.f64 y #s(literal 4 binary64)))))
(*.f64 x (-.f64 y (pow.f64 y #s(literal 4 binary64))))
x
(+.f64 y (neg.f64 (pow.f64 y #s(literal 4 binary64))))
(-.f64 y (pow.f64 y #s(literal 4 binary64)))
y
(neg.f64 (pow.f64 y #s(literal 4 binary64)))
(pow.f64 y #s(literal 4 binary64))
#s(literal 4 binary64)
(fma.f64 y (+.f64 y #s(literal 1 binary64)) #s(literal 1 binary64))
(+.f64 y #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 (*.f64 x y) (*.f64 (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)) (cbrt.f64 (-.f64 #s(literal 1 binary64) y))))
(*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y)))
(*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y))
(*.f64 y (*.f64 x (-.f64 #s(literal 1 binary64) y)))
(*.f64 x y)
x
y
(*.f64 (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)) (cbrt.f64 (-.f64 #s(literal 1 binary64) y)))
(-.f64 #s(literal 1 binary64) y)
(pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64))
(cbrt.f64 (-.f64 #s(literal 1 binary64) y))
(-.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
#s(literal 2 binary64)
Results
117.0ms256×0valid
Compiler

Compiled 146 to 24 computations (83.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 53.0ms
ival-pow: 22.0ms (41.3% of total)
ival-mult: 13.0ms (24.4% of total)
ival-neg: 6.0ms (11.3% of total)
ival-add: 3.0ms (5.6% of total)
ival-fma: 3.0ms (5.6% of total)
ival-div: 2.0ms (3.8% of total)
ival-cbrt: 2.0ms (3.8% of total)
ival-sub: 1.0ms (1.9% of total)
const: 1.0ms (1.9% of total)
backward-pass: 0.0ms (0% of total)

series40.0ms (0.7%)

Counts
12 → 204
Calls
Call 1
Inputs
#<alt (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) y)) #s(literal 3 binary64))>
#<alt (cbrt.f64 (-.f64 #s(literal 1 binary64) y))>
#<alt (*.f64 (*.f64 x y) (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) y)) #s(literal 3 binary64)))>
#<alt (*.f64 (*.f64 x y) (neg.f64 y))>
#<alt (neg.f64 y)>
#<alt (/.f64 (*.f64 x (+.f64 y (neg.f64 (pow.f64 y #s(literal 4 binary64))))) (fma.f64 y (+.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)))>
#<alt (*.f64 x (+.f64 y (neg.f64 (pow.f64 y #s(literal 4 binary64)))))>
#<alt (+.f64 y (neg.f64 (pow.f64 y #s(literal 4 binary64))))>
#<alt (neg.f64 (pow.f64 y #s(literal 4 binary64)))>
#<alt (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64))>
#<alt (*.f64 (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)) (cbrt.f64 (-.f64 #s(literal 1 binary64) y)))>
#<alt (*.f64 (*.f64 x y) (*.f64 (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)) (cbrt.f64 (-.f64 #s(literal 1 binary64) y))))>
Outputs
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) y))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) y))>
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#<alt (*.f64 y (+.f64 (cbrt.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))) (+.f64 (*.f64 #s(literal -1/9 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))) #s(literal 5 binary64)))))) (*.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))) #s(literal 2 binary64)))))))))>
#<alt (*.f64 y (+.f64 (cbrt.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))) (+.f64 (*.f64 #s(literal -1/9 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))) #s(literal 5 binary64)))))) (+.f64 (*.f64 #s(literal 5/81 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 9 binary64))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))) #s(literal 8 binary64)))))) (*.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))) #s(literal 2 binary64))))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (cbrt.f64 (-.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (cbrt.f64 (-.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) y))) (*.f64 #s(literal -1/3 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (cbrt.f64 (-.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) y))) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/9 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) y)) #s(literal 5 binary64)))))) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)))))) (pow.f64 y #s(literal 3 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (cbrt.f64 (-.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) y))) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/9 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) y)) #s(literal 5 binary64))))) (*.f64 #s(literal -5/81 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) y)) #s(literal 8 binary64))))))) (pow.f64 y #s(literal 3 binary64)))) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)))))) (pow.f64 y #s(literal 3 binary64)))))))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) y))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) y))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) y))>
#<alt (*.f64 #s(literal -1 binary64) y)>
#<alt (*.f64 y (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)))>
#<alt (*.f64 y (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)))>
#<alt (*.f64 y (-.f64 (/.f64 #s(literal 1 binary64) 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) y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))))>
#<alt (*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y)))>
#<alt (*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y)))>
#<alt (*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y)))>
#<alt (*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y)))>
#<alt (*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y)))>
#<alt (*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y)))>
#<alt (*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y)))>
#<alt (*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y)))>
#<alt (*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y)))>
#<alt (*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y)))>
#<alt (*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y)))>
#<alt (*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y)))>
#<alt (*.f64 x y)>
#<alt (*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 x y))))>
#<alt (*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 x y))))>
#<alt (*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 x y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 x y)))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 x y)))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 x y)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 x y)))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 x y)))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 x y)))>
Calls

51 calls:

TimeVariablePointExpression
5.0ms
y
@inf
(pow (cbrt (- 1 y)) 2)
4.0ms
y
@-inf
(pow (cbrt (- 1 y)) 2)
3.0ms
y
@-inf
(cbrt (- 1 y))
2.0ms
y
@inf
(cbrt (- 1 y))
2.0ms
x
@0
(/ (* x (+ y (neg (pow y 4)))) (+ (* y (+ y 1)) 1))

rewrite183.0ms (3.1%)

Algorithm
batch-egg-rewrite
Rules
1009×log1p-expm1-u
456×expm1-log1p-u
189×associate-*r*
172×add-cube-cbrt
170×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
030259
1426242
25886242
Stop Event
node limit
Counts
12 → 373
Calls
Call 1
Inputs
(pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) y)) #s(literal 3 binary64))
(cbrt.f64 (-.f64 #s(literal 1 binary64) y))
(*.f64 (*.f64 x y) (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) y)) #s(literal 3 binary64)))
(*.f64 (*.f64 x y) (neg.f64 y))
(neg.f64 y)
(/.f64 (*.f64 x (+.f64 y (neg.f64 (pow.f64 y #s(literal 4 binary64))))) (fma.f64 y (+.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 x (+.f64 y (neg.f64 (pow.f64 y #s(literal 4 binary64)))))
(+.f64 y (neg.f64 (pow.f64 y #s(literal 4 binary64))))
(neg.f64 (pow.f64 y #s(literal 4 binary64)))
(pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)) (cbrt.f64 (-.f64 #s(literal 1 binary64) y)))
(*.f64 (*.f64 x y) (*.f64 (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)) (cbrt.f64 (-.f64 #s(literal 1 binary64) y))))
Outputs
(+.f64 #s(literal 1 binary64) y)
(+.f64 y #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) y)
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))))
(-.f64 (exp.f64 (log1p.f64 (+.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) (/.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) y)))
(-.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 y #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))))
(*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y))
(*.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) y)) (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)))
(*.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)) (cbrt.f64 (+.f64 #s(literal 1 binary64) y)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) y))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) y))) (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) y)) #s(literal 4 binary64))) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) y))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 #s(literal 1 binary64) y))))
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 1/6 binary64)) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 1/6 binary64)) (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64))))
(*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))))
(*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y y (+.f64 #s(literal 1 binary64) y))))
(*.f64 (fma.f64 y y #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))))
(*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)))
(*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))
(*.f64 (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 1/6 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 1/6 binary64)) #s(literal 3 binary64)))
(*.f64 (*.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) y)) (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) y)) #s(literal 4 binary64)))) (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) y))) #s(literal 2 binary64)))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) y))) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) y))))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 1/6 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 1/6 binary64)))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y y (+.f64 #s(literal 1 binary64) y)))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) (fma.f64 y y #s(literal -1 binary64))) (+.f64 y #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y y (+.f64 #s(literal 1 binary64) y)) (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y #s(literal -1 binary64)) (fma.f64 y y #s(literal -1 binary64))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y y (+.f64 #s(literal 1 binary64) y)))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 y #s(literal 2 binary64)) y)))
(/.f64 (fma.f64 y y #s(literal -1 binary64)) (+.f64 y #s(literal -1 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) y))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 y (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 y y (+.f64 #s(literal 1 binary64) y))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) y)))
(/.f64 (neg.f64 (fma.f64 y y #s(literal -1 binary64))) (neg.f64 (+.f64 y #s(literal -1 binary64))))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) y))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64))) (cbrt.f64 (+.f64 #s(literal 1 binary64) y)))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))
(sqrt.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 #s(literal 1 binary64) y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 #s(literal 1 binary64) y))))
(cbrt.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 #s(literal 1 binary64) y)))
(log1p.f64 (expm1.f64 (+.f64 #s(literal 1 binary64) y)))
(exp.f64 (log1p.f64 y))
(exp.f64 (*.f64 (log1p.f64 y) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) y #s(literal 1 binary64))
(fma.f64 (cbrt.f64 (pow.f64 y #s(literal 2 binary64))) (cbrt.f64 y) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) #s(literal 1 binary64))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) y)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (cbrt.f64 (+.f64 #s(literal 1 binary64) y)))
(*.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) y))) #s(literal 2 binary64)) (cbrt.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) y))))
(*.f64 (cbrt.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) y))) (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) y))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 1/6 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (cbrt.f64 (+.f64 #s(literal 1 binary64) y)))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) #s(literal 1/3 binary64)))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) y)) #s(literal 4 binary64)))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) y))) #s(literal 2 binary64))))
(/.f64 (cbrt.f64 (fma.f64 y y #s(literal -1 binary64))) (cbrt.f64 (+.f64 y #s(literal -1 binary64))))
(/.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (cbrt.f64 (fma.f64 y (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))))
(/.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (cbrt.f64 (fma.f64 y y (+.f64 #s(literal 1 binary64) y))))
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(expm1.f64 (log1p.f64 (*.f64 x (fma.f64 y y y))))
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(exp.f64 (+.f64 (log1p.f64 y) (log.f64 (*.f64 y x))))
(exp.f64 (*.f64 (+.f64 (log1p.f64 y) (log.f64 (*.f64 y x))) #s(literal 1 binary64)))

simplify296.0ms (5.1%)

Algorithm
egg-herbie
Rules
478×fma-neg
356×distribute-lft-in
347×*-commutative
331×distribute-rgt-in
330×fma-define
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
087519072
1199318230
2662718163
Stop Event
node limit
Counts
577 → 501
Calls
Call 1
Inputs
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) y))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) y))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) y))
(*.f64 #s(literal -1 binary64) y)
(*.f64 y (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)))
(*.f64 y (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)))
(*.f64 y (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) y)
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) y))
(+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1/9 binary64) y) #s(literal 1/3 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (*.f64 y (-.f64 (*.f64 #s(literal -5/81 binary64) y) #s(literal 1/9 binary64))) #s(literal 1/3 binary64))))
(*.f64 (cbrt.f64 y) (cbrt.f64 #s(literal -1 binary64)))
(*.f64 y (+.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))) (cbrt.f64 #s(literal -1 binary64)))))
(*.f64 y (+.f64 (*.f64 #s(literal -1/9 binary64) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 8 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))))) (+.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))) (cbrt.f64 #s(literal -1 binary64))))))
(*.f64 y (+.f64 (*.f64 #s(literal -1/9 binary64) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 8 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))))) (+.f64 (*.f64 #s(literal 5/81 binary64) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 11 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 8 binary64))))) (+.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))) (cbrt.f64 #s(literal -1 binary64)))))))
(*.f64 #s(literal -1 binary64) (cbrt.f64 y))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))) (*.f64 #s(literal -1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64))))))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/9 binary64) (cbrt.f64 y)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 y #s(literal 4 binary64))))) (pow.f64 y #s(literal 3 binary64)))))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/9 binary64) (cbrt.f64 (pow.f64 y #s(literal 10 binary64)))) (*.f64 #s(literal -5/81 binary64) (cbrt.f64 (pow.f64 y #s(literal 7 binary64))))) (pow.f64 y #s(literal 3 binary64)))) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 y #s(literal 4 binary64))))) (pow.f64 y #s(literal 3 binary64)))))))
(*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y)))
(*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y)))
(*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y)))
(*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y)))
(*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y)))
(*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y)))
(*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y)))
(*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y)))
(*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y)))
(*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y)))
(*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y)))
(*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y)))
(*.f64 x y)
(*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 x y))))
(*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 x y))))
(*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 x y))))
(*.f64 #s(literal -1 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64))))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 x y)))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 x y)))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 x y)))
(*.f64 #s(literal -1 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64))))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 x y)))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 x y)))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 x y)))
(*.f64 #s(literal -1 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) y)
(*.f64 #s(literal -1 binary64) y)
(*.f64 #s(literal -1 binary64) y)
(*.f64 #s(literal -1 binary64) y)
(*.f64 #s(literal -1 binary64) y)
(*.f64 #s(literal -1 binary64) y)
(*.f64 #s(literal -1 binary64) y)
(*.f64 #s(literal -1 binary64) y)
(*.f64 #s(literal -1 binary64) y)
(*.f64 #s(literal -1 binary64) y)
(*.f64 #s(literal -1 binary64) y)
(*.f64 #s(literal -1 binary64) y)
(/.f64 (*.f64 x (-.f64 y (pow.f64 y #s(literal 4 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) y))))
(/.f64 (*.f64 x (-.f64 y (pow.f64 y #s(literal 4 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) y))))
(/.f64 (*.f64 x (-.f64 y (pow.f64 y #s(literal 4 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) y))))
(/.f64 (*.f64 x (-.f64 y (pow.f64 y #s(literal 4 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) y))))
(/.f64 (*.f64 x (-.f64 y (pow.f64 y #s(literal 4 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) y))))
(/.f64 (*.f64 x (-.f64 y (pow.f64 y #s(literal 4 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) y))))
(/.f64 (*.f64 x (-.f64 y (pow.f64 y #s(literal 4 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) y))))
(/.f64 (*.f64 x (-.f64 y (pow.f64 y #s(literal 4 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) y))))
(/.f64 (*.f64 x (-.f64 y (pow.f64 y #s(literal 4 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) y))))
(/.f64 (*.f64 x (-.f64 y (pow.f64 y #s(literal 4 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) y))))
(/.f64 (*.f64 x (-.f64 y (pow.f64 y #s(literal 4 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) y))))
(/.f64 (*.f64 x (-.f64 y (pow.f64 y #s(literal 4 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) y))))
(*.f64 x y)
(*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 x y))))
(*.f64 y (+.f64 x (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) x)))) x))))
(*.f64 y (+.f64 x (*.f64 y (-.f64 (*.f64 y (-.f64 (*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) x))) (+.f64 x (*.f64 #s(literal -1 binary64) x)))) x))))
(*.f64 #s(literal -1 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64))))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 x y)))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (*.f64 #s(literal -1 binary64) x)) (pow.f64 y #s(literal 2 binary64))))) (*.f64 #s(literal -1 binary64) (/.f64 x y))))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x (pow.f64 y #s(literal 3 binary64)))) (/.f64 x (pow.f64 y #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x (pow.f64 y #s(literal 2 binary64)))) (/.f64 x (pow.f64 y #s(literal 2 binary64)))))))
(*.f64 #s(literal -1 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64))))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 x y)))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (*.f64 #s(literal -1 binary64) x)) y))) y))))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 x (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 x y))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 #s(literal 2 binary64) (/.f64 x y)))) y))) y))))
(*.f64 x (-.f64 y (pow.f64 y #s(literal 4 binary64))))
(*.f64 x (-.f64 y (pow.f64 y #s(literal 4 binary64))))
(*.f64 x (-.f64 y (pow.f64 y #s(literal 4 binary64))))
(*.f64 x (-.f64 y (pow.f64 y #s(literal 4 binary64))))
(*.f64 x (-.f64 y (pow.f64 y #s(literal 4 binary64))))
(*.f64 x (-.f64 y (pow.f64 y #s(literal 4 binary64))))
(*.f64 x (-.f64 y (pow.f64 y #s(literal 4 binary64))))
(*.f64 x (-.f64 y (pow.f64 y #s(literal 4 binary64))))
(*.f64 x (-.f64 y (pow.f64 y #s(literal 4 binary64))))
(*.f64 x (-.f64 y (pow.f64 y #s(literal 4 binary64))))
(*.f64 x (-.f64 y (pow.f64 y #s(literal 4 binary64))))
(*.f64 x (-.f64 y (pow.f64 y #s(literal 4 binary64))))
(*.f64 x y)
(*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 x (pow.f64 y #s(literal 3 binary64))))))
(*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 x (pow.f64 y #s(literal 3 binary64))))))
(*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 x (pow.f64 y #s(literal 3 binary64))))))
(*.f64 #s(literal -1 binary64) (*.f64 x (pow.f64 y #s(literal 4 binary64))))
(*.f64 (pow.f64 y #s(literal 4 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 x (pow.f64 y #s(literal 3 binary64)))))
(*.f64 (pow.f64 y #s(literal 4 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 x (pow.f64 y #s(literal 3 binary64)))))
(*.f64 (pow.f64 y #s(literal 4 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 x (pow.f64 y #s(literal 3 binary64)))))
(*.f64 #s(literal -1 binary64) (*.f64 x (pow.f64 y #s(literal 4 binary64))))
(*.f64 (pow.f64 y #s(literal 4 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 x (pow.f64 y #s(literal 3 binary64)))))
(*.f64 (pow.f64 y #s(literal 4 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 x (pow.f64 y #s(literal 3 binary64)))))
(*.f64 (pow.f64 y #s(literal 4 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 x (pow.f64 y #s(literal 3 binary64)))))
y
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64)))))
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64)))))
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64)))))
(*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 4 binary64)))
(*.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 4 binary64)))
(*.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 4 binary64)))
(*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 4 binary64)))
(*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 4 binary64)))
(*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 4 binary64)))
(*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 4 binary64)))
(*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 4 binary64)))
(*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 4 binary64)))
(*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 4 binary64)))
(*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 4 binary64)))
(*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 4 binary64)))
(*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 4 binary64)))
(*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 4 binary64)))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -2/3 binary64) y))
(+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1/9 binary64) y) #s(literal 2/3 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (*.f64 y (-.f64 (*.f64 #s(literal -4/81 binary64) y) #s(literal 1/9 binary64))) #s(literal 2/3 binary64))))
(*.f64 y (cbrt.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))))
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(-.f64 (exp.f64 (log1p.f64 (+.f64 y (pow.f64 y #s(literal 4 binary64))))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 y (pow.f64 y #s(literal 4 binary64)))) (/.f64 (pow.f64 y #s(literal 8 binary64)) (+.f64 y (pow.f64 y #s(literal 4 binary64)))))
(-.f64 (+.f64 y #s(literal 0 binary64)) (pow.f64 y #s(literal 4 binary64)))
(*.f64 #s(literal 1 binary64) (+.f64 y (pow.f64 y #s(literal 4 binary64))))
(*.f64 (+.f64 y (pow.f64 y #s(literal 4 binary64))) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (+.f64 y (pow.f64 y #s(literal 4 binary64)))) (cbrt.f64 (fma.f64 y y (pow.f64 y #s(literal 8 binary64)))))
(*.f64 (cbrt.f64 (fma.f64 y y (pow.f64 y #s(literal 8 binary64)))) (cbrt.f64 (+.f64 y (pow.f64 y #s(literal 4 binary64)))))
(*.f64 (sqrt.f64 (+.f64 y (pow.f64 y #s(literal 4 binary64)))) (sqrt.f64 (+.f64 y (pow.f64 y #s(literal 4 binary64)))))
(*.f64 (+.f64 (pow.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 y y (pow.f64 y #s(literal 8 binary64))) (*.f64 y (pow.f64 y #s(literal 4 binary64))))))
(*.f64 (fma.f64 y y (pow.f64 y #s(literal 8 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 y (pow.f64 y #s(literal 4 binary64)))))
(*.f64 (+.f64 (sqrt.f64 y) (pow.f64 y #s(literal 2 binary64))) (-.f64 (sqrt.f64 y) (pow.f64 y #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 y y (pow.f64 y #s(literal 8 binary64))) (*.f64 y (pow.f64 y #s(literal 4 binary64)))) (+.f64 (pow.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y (pow.f64 y #s(literal 4 binary64))) (fma.f64 y y (pow.f64 y #s(literal 8 binary64)))))
(/.f64 (+.f64 (pow.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (-.f64 (fma.f64 y y (pow.f64 y #s(literal 8 binary64))) (*.f64 y (pow.f64 y #s(literal 4 binary64)))))
(/.f64 (+.f64 (pow.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (+.f64 (pow.f64 y #s(literal 8 binary64)) (-.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 y (pow.f64 y #s(literal 4 binary64))))))
(/.f64 (fma.f64 y y (pow.f64 y #s(literal 8 binary64))) (+.f64 y (pow.f64 y #s(literal 4 binary64))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (-.f64 (fma.f64 y y (pow.f64 y #s(literal 8 binary64))) (*.f64 y (pow.f64 y #s(literal 4 binary64))))))
(/.f64 (neg.f64 (fma.f64 y y (pow.f64 y #s(literal 8 binary64)))) (neg.f64 (+.f64 y (pow.f64 y #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 3 binary64))) (-.f64 (fma.f64 y y (pow.f64 y #s(literal 8 binary64))) (*.f64 y (pow.f64 y #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 y #s(literal 8 binary64)) (pow.f64 y #s(literal 2 binary64))) (-.f64 (pow.f64 y #s(literal 4 binary64)) y))
(pow.f64 (+.f64 y (pow.f64 y #s(literal 4 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 y (pow.f64 y #s(literal 4 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 y (pow.f64 y #s(literal 4 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 y (pow.f64 y #s(literal 4 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (fma.f64 y y (pow.f64 y #s(literal 8 binary64))))
(log.f64 (exp.f64 (+.f64 y (pow.f64 y #s(literal 4 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 y (pow.f64 y #s(literal 4 binary64))))))
(cbrt.f64 (pow.f64 (+.f64 y (pow.f64 y #s(literal 4 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 y (pow.f64 y #s(literal 4 binary64)))))
(log1p.f64 (expm1.f64 (+.f64 y (pow.f64 y #s(literal 4 binary64)))))
(exp.f64 (log.f64 (+.f64 y (pow.f64 y #s(literal 4 binary64)))))
(exp.f64 (*.f64 (log.f64 (+.f64 y (pow.f64 y #s(literal 4 binary64)))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) y (pow.f64 y #s(literal 4 binary64)))
(fma.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64)) y)
(fma.f64 (cbrt.f64 (pow.f64 y #s(literal 8 binary64))) (cbrt.f64 (pow.f64 y #s(literal 4 binary64))) y)
(fma.f64 (cbrt.f64 (pow.f64 y #s(literal 2 binary64))) (cbrt.f64 y) (pow.f64 y #s(literal 4 binary64)))
(fma.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)) y)
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) (pow.f64 y #s(literal 4 binary64)))
(fma.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 4 binary64)) y)
(+.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 4 binary64)))
(-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 4 binary64)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 y #s(literal 4 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64)))
(*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64))
(*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1 binary64))
(*.f64 (cbrt.f64 (pow.f64 y #s(literal 4 binary64))) (cbrt.f64 (pow.f64 y #s(literal 8 binary64))))
(*.f64 (cbrt.f64 (pow.f64 y #s(literal 8 binary64))) (cbrt.f64 (pow.f64 y #s(literal 4 binary64))))
(*.f64 (cbrt.f64 (pow.f64 y #s(literal 8 binary64))) (neg.f64 (cbrt.f64 (pow.f64 y #s(literal 4 binary64)))))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))
(*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 4 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 y #s(literal 2 binary64))) #s(literal 4 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 4 binary64)))
(*.f64 (pow.f64 (sqrt.f64 y) #s(literal 4 binary64)) (pow.f64 (sqrt.f64 y) #s(literal 4 binary64)))
(*.f64 (neg.f64 (cbrt.f64 (pow.f64 y #s(literal 8 binary64)))) (cbrt.f64 (pow.f64 y #s(literal 4 binary64))))
(*.f64 (*.f64 #s(literal -1 binary64) (cbrt.f64 (pow.f64 y #s(literal 8 binary64)))) (cbrt.f64 (pow.f64 y #s(literal 4 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 y #s(literal 8 binary64)) (*.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 4 binary64))))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 8 binary64))) (pow.f64 y #s(literal 4 binary64)))
(pow.f64 y #s(literal 4 binary64))
(pow.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (pow.f64 y #s(literal 4 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 y #s(literal 8 binary64)))
(log.f64 (exp.f64 (pow.f64 y #s(literal 4 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 y #s(literal 4 binary64)))))
(cbrt.f64 (pow.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 y #s(literal 4 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 y #s(literal 4 binary64))))
(exp.f64 (*.f64 #s(literal 4 binary64) (log.f64 y)))
(exp.f64 (*.f64 (*.f64 #s(literal 4 binary64) (log.f64 y)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) y)) (cbrt.f64 (+.f64 #s(literal 1 binary64) y)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) y))) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) y)) #s(literal 4 binary64))))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) y))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) y))) (cbrt.f64 (+.f64 #s(literal 1 binary64) y))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) y)) #s(literal 4 binary64))) (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) y))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 1/6 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))
(*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 1/6 binary64)))
(*.f64 (*.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) y)) (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) y))) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) y))))
(sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) y)) #s(literal 4 binary64)))
(log.f64 (exp.f64 (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64))))
(exp.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/3 binary64) (log1p.f64 y))))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/3 binary64) (log1p.f64 y))) #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) y)
(+.f64 y #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) y)
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))))
(-.f64 (exp.f64 (log1p.f64 (+.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) (/.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) y)))
(-.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 y #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y y (+.f64 #s(literal 1 binary64) y)) (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y #s(literal -1 binary64)) (fma.f64 y y #s(literal -1 binary64))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y y (+.f64 #s(literal 1 binary64) y)))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 y #s(literal 2 binary64)) y)))
(/.f64 (fma.f64 y y #s(literal -1 binary64)) (+.f64 y #s(literal -1 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) y))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 y (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 y y (+.f64 #s(literal 1 binary64) y))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) y)))
(/.f64 (neg.f64 (fma.f64 y y #s(literal -1 binary64))) (neg.f64 (+.f64 y #s(literal -1 binary64))))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) y))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64))) (cbrt.f64 (+.f64 #s(literal 1 binary64) y)))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))
(pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) y)) #s(literal 3 binary64))
(pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))
(pow.f64 (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 #s(literal 1 binary64) y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 #s(literal 1 binary64) y))))
(cbrt.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 #s(literal 1 binary64) y)))
(log1p.f64 (expm1.f64 (+.f64 #s(literal 1 binary64) y)))
(exp.f64 (log1p.f64 y))
(exp.f64 (*.f64 (log1p.f64 y) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) y #s(literal 1 binary64))
(fma.f64 (cbrt.f64 (pow.f64 y #s(literal 2 binary64))) (cbrt.f64 y) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) #s(literal 1 binary64))
(+.f64 (*.f64 y x) (*.f64 x (pow.f64 y #s(literal 2 binary64))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (fma.f64 y y y)))) #s(literal 1 binary64))
(/.f64 (*.f64 (*.f64 y x) (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)))
(/.f64 (*.f64 (*.f64 y x) (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) y))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (*.f64 y x)) (fma.f64 y (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) (*.f64 y x)) (+.f64 #s(literal 1 binary64) y))
(pow.f64 (*.f64 x (fma.f64 y y y)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (fma.f64 y y y))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x (fma.f64 y y y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (fma.f64 y y y))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 x (fma.f64 y y y)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (*.f64 x (fma.f64 y y y))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (fma.f64 y y y)))))
(cbrt.f64 (pow.f64 (*.f64 x (fma.f64 y y y)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 x (fma.f64 y y y))))
(log1p.f64 (expm1.f64 (*.f64 x (fma.f64 y y y))))
(exp.f64 (+.f64 (log1p.f64 y) (log.f64 (*.f64 y x))))
(exp.f64 (*.f64 (+.f64 (log1p.f64 y) (log.f64 (*.f64 y x))) #s(literal 1 binary64)))
Outputs
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) y))
(-.f64 #s(literal 1 binary64) y)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) y))
(-.f64 #s(literal 1 binary64) y)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) y))
(-.f64 #s(literal 1 binary64) y)
(*.f64 #s(literal -1 binary64) y)
(neg.f64 y)
(*.f64 y (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)))
(*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)))
(*.f64 y (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) y)))
(*.f64 y (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)))
(*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)))
(*.f64 y (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) y)))
(*.f64 y (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)))
(*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)))
(*.f64 y (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) 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) y))))
(*.f64 (neg.f64 y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.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) y))))
(*.f64 (neg.f64 y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.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) y))))
(*.f64 (neg.f64 y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) (neg.f64 y))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) y))
(+.f64 #s(literal 1 binary64) (*.f64 y #s(literal -1/3 binary64)))
(fma.f64 y #s(literal -1/3 binary64) #s(literal 1 binary64))
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(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (*.f64 y x)) (fma.f64 y (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)))
(*.f64 (*.f64 y x) (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) (*.f64 y x)) (+.f64 #s(literal 1 binary64) y))
(*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) (/.f64 (*.f64 y x) (+.f64 #s(literal 1 binary64) y)))
(*.f64 (/.f64 (fma.f64 y y #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) y)) (*.f64 y x))
(pow.f64 (*.f64 x (fma.f64 y y y)) #s(literal 1 binary64))
(fma.f64 y x (*.f64 (pow.f64 y #s(literal 2 binary64)) x))
(*.f64 x (fma.f64 y y y))
(pow.f64 (cbrt.f64 (*.f64 x (fma.f64 y y y))) #s(literal 3 binary64))
(fma.f64 y x (*.f64 (pow.f64 y #s(literal 2 binary64)) x))
(*.f64 x (fma.f64 y y y))
(pow.f64 (pow.f64 (*.f64 x (fma.f64 y y y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(fma.f64 y x (*.f64 (pow.f64 y #s(literal 2 binary64)) x))
(*.f64 x (fma.f64 y y y))
(pow.f64 (sqrt.f64 (*.f64 x (fma.f64 y y y))) #s(literal 2 binary64))
(fma.f64 y x (*.f64 (pow.f64 y #s(literal 2 binary64)) x))
(*.f64 x (fma.f64 y y y))
(sqrt.f64 (pow.f64 (*.f64 x (fma.f64 y y y)) #s(literal 2 binary64)))
(fma.f64 y x (*.f64 (pow.f64 y #s(literal 2 binary64)) x))
(*.f64 x (fma.f64 y y y))
(log.f64 (exp.f64 (*.f64 x (fma.f64 y y y))))
(fma.f64 y x (*.f64 (pow.f64 y #s(literal 2 binary64)) x))
(*.f64 x (fma.f64 y y y))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (fma.f64 y y y)))))
(fma.f64 y x (*.f64 (pow.f64 y #s(literal 2 binary64)) x))
(*.f64 x (fma.f64 y y y))
(cbrt.f64 (pow.f64 (*.f64 x (fma.f64 y y y)) #s(literal 3 binary64)))
(fma.f64 y x (*.f64 (pow.f64 y #s(literal 2 binary64)) x))
(*.f64 x (fma.f64 y y y))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 x (fma.f64 y y y))))
(log1p.f64 (expm1.f64 (*.f64 x (fma.f64 y y y))))
(fma.f64 y x (*.f64 (pow.f64 y #s(literal 2 binary64)) x))
(*.f64 x (fma.f64 y y y))
(exp.f64 (+.f64 (log1p.f64 y) (log.f64 (*.f64 y x))))
(*.f64 (+.f64 #s(literal 1 binary64) y) (*.f64 y x))
(exp.f64 (*.f64 (+.f64 (log1p.f64 y) (log.f64 (*.f64 y x))) #s(literal 1 binary64)))
(exp.f64 (+.f64 (log1p.f64 y) (log.f64 (*.f64 y x))))
(*.f64 (+.f64 #s(literal 1 binary64) y) (*.f64 y x))

eval90.0ms (1.5%)

Compiler

Compiled 13931 to 2249 computations (83.9% saved)

prune101.0ms (1.7%)

Pruning

10 alts after pruning (6 fresh and 4 done)

PrunedKeptTotal
New7045709
Fresh213
Picked325
Done022
Total70910719
Accuracy
100.0%
Counts
719 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
67.9%
(/.f64 (*.f64 x (-.f64 y (pow.f64 y #s(literal 4 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) y))))
73.0%
(*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (/.f64 x y) x))
72.4%
(*.f64 (*.f64 x y) (pow.f64 (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)) #s(literal 3/2 binary64)))
60.9%
(*.f64 (*.f64 x y) (pow.f64 (neg.f64 (cbrt.f64 y)) #s(literal 3 binary64)))
99.9%
(*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y))
30.4%
(*.f64 (*.f64 x y) (*.f64 (sqrt.f64 y) (neg.f64 (sqrt.f64 y))))
61.3%
(*.f64 (*.f64 x y) (neg.f64 y))
90.8%
(*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y)))
52.2%
(*.f64 x (*.f64 y (neg.f64 y)))
53.6%
(*.f64 x y)
Compiler

Compiled 177 to 118 computations (33.3% saved)

localize204.0ms (3.5%)

Algorithm
egg-herbie
Localize:

Found 38 expressions of interest:

NewMetricScoreProgram
cost-diff0
(sqrt.f64 y)
cost-diff0
(*.f64 x y)
cost-diff6592
(*.f64 (*.f64 x y) (*.f64 (sqrt.f64 y) (neg.f64 (sqrt.f64 y))))
cost-diff12928
(*.f64 (sqrt.f64 y) (neg.f64 (sqrt.f64 y)))
cost-diff0
(neg.f64 (cbrt.f64 y))
cost-diff0
(*.f64 x y)
cost-diff6528
(*.f64 (*.f64 x y) (pow.f64 (neg.f64 (cbrt.f64 y)) #s(literal 3 binary64)))
cost-diff12864
(pow.f64 (neg.f64 (cbrt.f64 y)) #s(literal 3 binary64))
cost-diff0
(+.f64 #s(literal 1 binary64) y)
cost-diff0
(pow.f64 y #s(literal 4 binary64))
cost-diff0
(-.f64 y (pow.f64 y #s(literal 4 binary64)))
cost-diff0
(*.f64 x (-.f64 y (pow.f64 y #s(literal 4 binary64))))
cost-diff-6336
(*.f64 y (neg.f64 y))
cost-diff-6336
(*.f64 x (*.f64 y (neg.f64 y)))
cost-diff0
(neg.f64 y)
cost-diff0
(/.f64 x y)
cost-diff0
(-.f64 (/.f64 x y) x)
cost-diff0
(pow.f64 y #s(literal 2 binary64))
cost-diff6464
(*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (/.f64 x y) x))
accuracy100.0%
(sqrt.f64 y)
accuracy100.0%
(neg.f64 (sqrt.f64 y))
accuracy99.9%
(*.f64 (*.f64 x y) (*.f64 (sqrt.f64 y) (neg.f64 (sqrt.f64 y))))
accuracy99.6%
(*.f64 (sqrt.f64 y) (neg.f64 (sqrt.f64 y)))
accuracy100.0%
(neg.f64 (cbrt.f64 y))
accuracy99.9%
(*.f64 (*.f64 x y) (pow.f64 (neg.f64 (cbrt.f64 y)) #s(literal 3 binary64)))
accuracy99.5%
(cbrt.f64 y)
accuracy99.4%
(pow.f64 (neg.f64 (cbrt.f64 y)) #s(literal 3 binary64))
accuracy100.0%
(-.f64 y (pow.f64 y #s(literal 4 binary64)))
accuracy100.0%
(*.f64 y (+.f64 #s(literal 1 binary64) y))
accuracy100.0%
(*.f64 x (-.f64 y (pow.f64 y #s(literal 4 binary64))))
accuracy82.2%
(/.f64 (*.f64 x (-.f64 y (pow.f64 y #s(literal 4 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) y))))
accuracy100.0%
(*.f64 y (neg.f64 y))
accuracy100.0%
(neg.f64 y)
accuracy89.3%
(*.f64 x (*.f64 y (neg.f64 y)))
accuracy100.0%
(pow.f64 y #s(literal 2 binary64))
accuracy100.0%
(/.f64 x y)
accuracy100.0%
(-.f64 (/.f64 x y) x)
accuracy84.5%
(*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (/.f64 x y) x))
Rules
637×unsub-neg
487×div-sub
438×associate-/r*
384×neg-mul-1
325×distribute-lft-neg-in
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
035468
184460
2211459
3776459
42246450
55744450
Stop Event
node limit
Calls
Call 1
Inputs
(*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (/.f64 x y) x))
(pow.f64 y #s(literal 2 binary64))
y
#s(literal 2 binary64)
(-.f64 (/.f64 x y) x)
(/.f64 x y)
x
(*.f64 x (*.f64 y (neg.f64 y)))
x
(*.f64 y (neg.f64 y))
y
(neg.f64 y)
(/.f64 (*.f64 x (-.f64 y (pow.f64 y #s(literal 4 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) y))))
(*.f64 x (-.f64 y (pow.f64 y #s(literal 4 binary64))))
x
(-.f64 y (pow.f64 y #s(literal 4 binary64)))
y
(pow.f64 y #s(literal 4 binary64))
#s(literal 4 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) y)))
#s(literal 1 binary64)
(*.f64 y (+.f64 #s(literal 1 binary64) y))
(+.f64 #s(literal 1 binary64) y)
(*.f64 (*.f64 x y) (pow.f64 (neg.f64 (cbrt.f64 y)) #s(literal 3 binary64)))
(*.f64 x y)
x
y
(pow.f64 (neg.f64 (cbrt.f64 y)) #s(literal 3 binary64))
(neg.f64 (cbrt.f64 y))
(cbrt.f64 y)
#s(literal 3 binary64)
(*.f64 (*.f64 x y) (*.f64 (sqrt.f64 y) (neg.f64 (sqrt.f64 y))))
(*.f64 x y)
x
y
(*.f64 (sqrt.f64 y) (neg.f64 (sqrt.f64 y)))
(sqrt.f64 y)
(neg.f64 (sqrt.f64 y))
Outputs
(*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (/.f64 x y) x))
(*.f64 (*.f64 y x) (-.f64 #s(literal 1 binary64) y))
(pow.f64 y #s(literal 2 binary64))
y
#s(literal 2 binary64)
(-.f64 (/.f64 x y) x)
(/.f64 x y)
x
(*.f64 x (*.f64 y (neg.f64 y)))
(*.f64 x (neg.f64 (pow.f64 y #s(literal 2 binary64))))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (neg.f64 x))
x
(*.f64 y (neg.f64 y))
(neg.f64 (pow.f64 y #s(literal 2 binary64)))
y
(neg.f64 y)
(/.f64 (*.f64 x (-.f64 y (pow.f64 y #s(literal 4 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) y))))
(/.f64 (*.f64 x (-.f64 y (pow.f64 y #s(literal 4 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 y #s(literal 1 binary64)))))
(*.f64 x (/.f64 (-.f64 y (pow.f64 y #s(literal 4 binary64))) (fma.f64 y (+.f64 y #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (*.f64 x (-.f64 y (pow.f64 y #s(literal 4 binary64)))) (fma.f64 y (+.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 x (-.f64 y (pow.f64 y #s(literal 4 binary64))))
x
(-.f64 y (pow.f64 y #s(literal 4 binary64)))
y
(pow.f64 y #s(literal 4 binary64))
#s(literal 4 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) y)))
(+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 y #s(literal 1 binary64))))
(fma.f64 y (+.f64 y #s(literal 1 binary64)) #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 y (+.f64 #s(literal 1 binary64) y))
(*.f64 y (+.f64 y #s(literal 1 binary64)))
(+.f64 y (pow.f64 y #s(literal 2 binary64)))
(fma.f64 y y y)
(+.f64 #s(literal 1 binary64) y)
(+.f64 y #s(literal 1 binary64))
(*.f64 (*.f64 x y) (pow.f64 (neg.f64 (cbrt.f64 y)) #s(literal 3 binary64)))
(*.f64 x (neg.f64 (pow.f64 y #s(literal 2 binary64))))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (neg.f64 x))
(*.f64 x y)
(*.f64 y x)
x
y
(pow.f64 (neg.f64 (cbrt.f64 y)) #s(literal 3 binary64))
(neg.f64 y)
(neg.f64 (cbrt.f64 y))
(cbrt.f64 y)
#s(literal 3 binary64)
(*.f64 (*.f64 x y) (*.f64 (sqrt.f64 y) (neg.f64 (sqrt.f64 y))))
(*.f64 x (neg.f64 (pow.f64 y #s(literal 2 binary64))))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (neg.f64 x))
(*.f64 x y)
(*.f64 y x)
x
y
(*.f64 (sqrt.f64 y) (neg.f64 (sqrt.f64 y)))
(neg.f64 y)
(sqrt.f64 y)
(neg.f64 (sqrt.f64 y))
Results
50.0ms131×0valid
42.0ms125×0invalid
Compiler

Compiled 140 to 30 computations (78.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 58.0ms
ival-mult: 23.0ms (39.7% of total)
ival-pow: 17.0ms (29.3% of total)
ival-neg: 5.0ms (8.6% of total)
ival-div: 4.0ms (6.9% of total)
ival-add: 3.0ms (5.2% of total)
ival-sub: 3.0ms (5.2% of total)
ival-cbrt: 2.0ms (3.4% of total)
ival-sqrt: 2.0ms (3.4% of total)
const: 1.0ms (1.7% of total)
backward-pass: 0.0ms (0% of total)

series45.0ms (0.8%)

Counts
20 → 236
Calls
Call 1
Inputs
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (/.f64 x y) x))>
#<alt (-.f64 (/.f64 x y) x)>
#<alt (/.f64 x y)>
#<alt (pow.f64 y #s(literal 2 binary64))>
#<alt (*.f64 x (*.f64 y (neg.f64 y)))>
#<alt (*.f64 y (neg.f64 y))>
#<alt (/.f64 (*.f64 x (-.f64 y (pow.f64 y #s(literal 4 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) y))))>
#<alt (*.f64 x (-.f64 y (pow.f64 y #s(literal 4 binary64))))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) y))>
#<alt (-.f64 y (pow.f64 y #s(literal 4 binary64)))>
#<alt (pow.f64 (neg.f64 (cbrt.f64 y)) #s(literal 3 binary64))>
#<alt (cbrt.f64 y)>
#<alt (*.f64 (*.f64 x y) (pow.f64 (neg.f64 (cbrt.f64 y)) #s(literal 3 binary64)))>
#<alt (neg.f64 (cbrt.f64 y))>
#<alt (*.f64 (sqrt.f64 y) (neg.f64 (sqrt.f64 y)))>
#<alt (*.f64 (*.f64 x y) (*.f64 (sqrt.f64 y) (neg.f64 (sqrt.f64 y))))>
#<alt (neg.f64 (sqrt.f64 y))>
#<alt (sqrt.f64 y)>
#<alt (pow.f64 y #s(literal 4 binary64))>
#<alt (+.f64 #s(literal 1 binary64) y)>
Outputs
#<alt (*.f64 x y)>
#<alt (*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 x y))))>
#<alt (*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 x y))))>
#<alt (*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 x y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 x y)))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 x y)))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 x y)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 x y)))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 x y)))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 x y)))>
#<alt (*.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))))>
#<alt (*.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))))>
#<alt (*.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))))>
#<alt (*.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))))>
#<alt (*.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))))>
#<alt (*.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))))>
#<alt (*.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))))>
#<alt (*.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))))>
#<alt (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)))>
#<alt (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)))>
#<alt (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)))>
#<alt (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)))>
#<alt (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)))>
#<alt (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)))>
#<alt (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)))>
#<alt (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))))>
#<alt (/.f64 x y)>
#<alt (/.f64 (+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 x y))) y)>
#<alt (/.f64 (+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 x y))) y)>
#<alt (/.f64 (+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 x y))) y)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64))))>
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#<alt #s(literal 1 binary64)>
#<alt y>
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#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))>
#<alt y>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))>
Calls

84 calls:

TimeVariablePointExpression
9.0ms
y
@-inf
(pow (neg (cbrt y)) 3)
3.0ms
y
@-inf
(* (* x y) (* (sqrt y) (neg (sqrt y))))
2.0ms
y
@0
(cbrt y)
1.0ms
y
@inf
(cbrt y)
1.0ms
y
@-inf
(* (sqrt y) (neg (sqrt y)))

rewrite504.0ms (8.6%)

Algorithm
batch-egg-rewrite
Rules
393×log1p-expm1-u
262×associate-*r*
243×expm1-log1p-u
231×pow1
225×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
035381
1593328
27953328
Stop Event
node limit
Counts
20 → 596
Calls
Call 1
Inputs
(*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (/.f64 x y) x))
(-.f64 (/.f64 x y) x)
(/.f64 x y)
(pow.f64 y #s(literal 2 binary64))
(*.f64 x (*.f64 y (neg.f64 y)))
(*.f64 y (neg.f64 y))
(/.f64 (*.f64 x (-.f64 y (pow.f64 y #s(literal 4 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) y))))
(*.f64 x (-.f64 y (pow.f64 y #s(literal 4 binary64))))
(*.f64 y (+.f64 #s(literal 1 binary64) y))
(-.f64 y (pow.f64 y #s(literal 4 binary64)))
(pow.f64 (neg.f64 (cbrt.f64 y)) #s(literal 3 binary64))
(cbrt.f64 y)
(*.f64 (*.f64 x y) (pow.f64 (neg.f64 (cbrt.f64 y)) #s(literal 3 binary64)))
(neg.f64 (cbrt.f64 y))
(*.f64 (sqrt.f64 y) (neg.f64 (sqrt.f64 y)))
(*.f64 (*.f64 x y) (*.f64 (sqrt.f64 y) (neg.f64 (sqrt.f64 y))))
(neg.f64 (sqrt.f64 y))
(sqrt.f64 y)
(pow.f64 y #s(literal 4 binary64))
(+.f64 #s(literal 1 binary64) y)
Outputs
(+.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (/.f64 x y)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (neg.f64 x)))
(+.f64 (*.f64 (/.f64 x y) (pow.f64 y #s(literal 2 binary64))) (*.f64 (neg.f64 x) (pow.f64 y #s(literal 2 binary64))))
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(cbrt.f64 (pow.f64 y #s(literal 12 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 y #s(literal 4 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 y #s(literal 4 binary64))))
(exp.f64 (*.f64 #s(literal 4 binary64) (log.f64 y)))
(exp.f64 (*.f64 (*.f64 #s(literal 4 binary64) (log.f64 y)) #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) y)
(-.f64 (exp.f64 (log1p.f64 (+.f64 y #s(literal 1 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) (/.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 y #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64)))
(*.f64 (+.f64 y #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (+.f64 y #s(literal 1 binary64))) (cbrt.f64 (pow.f64 (+.f64 y #s(literal 1 binary64)) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 y #s(literal 1 binary64)) #s(literal 2 binary64))) (cbrt.f64 (+.f64 y #s(literal 1 binary64))))
(*.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 (+.f64 y #s(literal 1 binary64))))
(*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 y #s(literal 1 binary64)) #s(literal 1 binary64))))
(*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (+.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y (+.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (+.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 y #s(literal 1 binary64))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) (+.f64 y #s(literal 1 binary64)))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 y (+.f64 y #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))) (neg.f64 (+.f64 y #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y (+.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64)))
(pow.f64 (+.f64 y #s(literal 1 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 y #s(literal 1 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 y #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (+.f64 y #s(literal 1 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 y #s(literal 1 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 y #s(literal 1 binary64)))))
(cbrt.f64 (pow.f64 (+.f64 y #s(literal 1 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 y #s(literal 1 binary64))))
(log1p.f64 (expm1.f64 (+.f64 y #s(literal 1 binary64))))
(exp.f64 (log1p.f64 y))
(exp.f64 (*.f64 (log1p.f64 y) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) y #s(literal 1 binary64))
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) #s(literal 1 binary64))
(fma.f64 (cbrt.f64 (pow.f64 y #s(literal 2 binary64))) (cbrt.f64 y) #s(literal 1 binary64))

simplify352.0ms (6%)

Algorithm
egg-herbie
Rules
501×times-frac
462×fma-define
300×associate-/r*
298×*-commutative
289×prod-exp
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
096622315
1206320316
2758820196
Stop Event
node limit
Counts
832 → 623
Calls
Call 1
Inputs
(*.f64 x y)
(*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 x y))))
(*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 x y))))
(*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 x y))))
(*.f64 #s(literal -1 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64))))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 x y)))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 x y)))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 x y)))
(*.f64 #s(literal -1 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64))))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 x y)))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 x y)))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 x y)))
(*.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))))
(*.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))))
(*.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))))
(*.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))))
(*.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))))
(*.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))))
(*.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))))
(*.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))))
(*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))))
(*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))))
(*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))))
(*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)))
(*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)))
(*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)))
(*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)))
(*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)))
(*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)))
(*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)))
(*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))))
(/.f64 x y)
(/.f64 (+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 x y))) y)
(/.f64 (+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 x y))) y)
(/.f64 (+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 x y))) y)
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64)))
(*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64)))
(*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64)))
(*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64)))
(*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64)))
(*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64)))
(*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64)))
(*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64)))
(*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64)))
(*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64)))
(*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64)))
(*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64)))
(*.f64 x y)
(*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 x y))))
(*.f64 y (+.f64 x (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) x)))) x))))
(*.f64 y (+.f64 x (*.f64 y (-.f64 (*.f64 y (-.f64 (*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) x))) (+.f64 x (*.f64 #s(literal -1 binary64) x)))) x))))
(*.f64 #s(literal -1 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64))))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 x y)))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (*.f64 #s(literal -1 binary64) x)) (pow.f64 y #s(literal 2 binary64))))) (*.f64 #s(literal -1 binary64) (/.f64 x y))))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x (pow.f64 y #s(literal 3 binary64)))) (/.f64 x (pow.f64 y #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x (pow.f64 y #s(literal 2 binary64)))) (/.f64 x (pow.f64 y #s(literal 2 binary64)))))))
(*.f64 #s(literal -1 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64))))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 x y)))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (*.f64 #s(literal -1 binary64) x)) y))) y))))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 x (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 x y))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 #s(literal 2 binary64) (/.f64 x y)))) y))) y))))
(*.f64 x y)
(*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 x (pow.f64 y #s(literal 3 binary64))))))
(*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 x (pow.f64 y #s(literal 3 binary64))))))
(*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 x (pow.f64 y #s(literal 3 binary64))))))
(*.f64 #s(literal -1 binary64) (*.f64 x (pow.f64 y #s(literal 4 binary64))))
(*.f64 (pow.f64 y #s(literal 4 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 x (pow.f64 y #s(literal 3 binary64)))))
(*.f64 (pow.f64 y #s(literal 4 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 x (pow.f64 y #s(literal 3 binary64)))))
(*.f64 (pow.f64 y #s(literal 4 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 x (pow.f64 y #s(literal 3 binary64)))))
(*.f64 #s(literal -1 binary64) (*.f64 x (pow.f64 y #s(literal 4 binary64))))
(*.f64 (pow.f64 y #s(literal 4 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 x (pow.f64 y #s(literal 3 binary64)))))
(*.f64 (pow.f64 y #s(literal 4 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 x (pow.f64 y #s(literal 3 binary64)))))
(*.f64 (pow.f64 y #s(literal 4 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 x (pow.f64 y #s(literal 3 binary64)))))
y
(pow.f64 y #s(literal 2 binary64))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
(pow.f64 y #s(literal 2 binary64))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
y
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64)))))
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64)))))
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64)))))
(*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 4 binary64)))
(*.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 4 binary64)))
(*.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) y)
(*.f64 #s(literal -1 binary64) y)
(*.f64 #s(literal -1 binary64) y)
(*.f64 #s(literal -1 binary64) y)
(*.f64 #s(literal -1 binary64) y)
(*.f64 #s(literal -1 binary64) y)
(*.f64 #s(literal -1 binary64) y)
(*.f64 #s(literal -1 binary64) y)
(*.f64 y (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))
(*.f64 y (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))
(*.f64 y (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))
(*.f64 y (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 (cbrt.f64 y) (cbrt.f64 #s(literal -1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 (cbrt.f64 y) (cbrt.f64 #s(literal -1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 (cbrt.f64 y) (cbrt.f64 #s(literal -1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 (cbrt.f64 y) (cbrt.f64 #s(literal -1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64))))
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(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 3/2 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 y (*.f64 #s(literal 0 binary64) (sqrt.f64 y)))))
(pow.f64 y #s(literal 1/2 binary64))
(pow.f64 (cbrt.f64 y) #s(literal 3/2 binary64))
(pow.f64 (sqrt.f64 y) #s(literal 1 binary64))
(pow.f64 (pow.f64 y #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 y #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 y #s(literal 1/6 binary64)) #s(literal 3 binary64))
(sqrt.f64 y)
(fabs.f64 (sqrt.f64 y))
(log.f64 (exp.f64 (sqrt.f64 y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 y))))
(cbrt.f64 (pow.f64 y #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 y)))
(log1p.f64 (expm1.f64 (sqrt.f64 y)))
(exp.f64 (log.f64 (sqrt.f64 y)))
(exp.f64 (*.f64 (log.f64 y) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 y)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 y)) #s(literal 3/2 binary64)))
(+.f64 #s(literal 0 binary64) (sqrt.f64 y))
(-.f64 #s(literal 0 binary64) (sqrt.f64 y))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 y))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 y))
(*.f64 (cbrt.f64 y) (pow.f64 y #s(literal 1/6 binary64)))
(*.f64 (cbrt.f64 y) (neg.f64 (pow.f64 y #s(literal 1/6 binary64))))
(*.f64 (sqrt.f64 y) #s(literal 1 binary64))
(*.f64 (sqrt.f64 y) #s(literal -1 binary64))
(*.f64 (pow.f64 y #s(literal 1/4 binary64)) (pow.f64 y #s(literal 1/4 binary64)))
(*.f64 (pow.f64 y #s(literal 1/4 binary64)) (neg.f64 (pow.f64 y #s(literal 1/4 binary64))))
(*.f64 (pow.f64 y #s(literal 1/6 binary64)) (cbrt.f64 y))
(*.f64 #s(literal -1 binary64) (sqrt.f64 y))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 y))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64)) (pow.f64 y #s(literal 1/6 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 3/2 binary64)) (sqrt.f64 y))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 y)) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 y)) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (pow.f64 y #s(literal 1/6 binary64)) #s(literal 3/2 binary64)) (pow.f64 (pow.f64 y #s(literal 1/6 binary64)) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 #s(literal -1 binary64) #s(literal 3/2 binary64)) (sqrt.f64 y))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 y))
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 3/4 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 3/4 binary64)))
(*.f64 (neg.f64 (pow.f64 y #s(literal 1/4 binary64))) (pow.f64 y #s(literal 1/4 binary64)))
(*.f64 (*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 1/4 binary64))) (pow.f64 y #s(literal 1/4 binary64)))
(/.f64 y (sqrt.f64 y))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 3/2 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 y (*.f64 #s(literal 0 binary64) (sqrt.f64 y)))))
(pow.f64 y #s(literal 1/2 binary64))
(pow.f64 (cbrt.f64 y) #s(literal 3/2 binary64))
(pow.f64 (sqrt.f64 y) #s(literal 1 binary64))
(pow.f64 (pow.f64 y #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 y #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 y #s(literal 1/6 binary64)) #s(literal 3 binary64))
(neg.f64 (sqrt.f64 y))
(fabs.f64 (sqrt.f64 y))
(log.f64 (exp.f64 (sqrt.f64 y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 y))))
(cbrt.f64 (pow.f64 y #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 y)))
(log1p.f64 (expm1.f64 (sqrt.f64 y)))
(exp.f64 (log.f64 (sqrt.f64 y)))
(exp.f64 (*.f64 (log.f64 y) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 y)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 y)) #s(literal 3/2 binary64)))
(-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 4 binary64)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 y #s(literal 4 binary64)))) #s(literal 1 binary64))
(*.f64 y (pow.f64 y #s(literal 3 binary64)))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))
(*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64)))
(*.f64 (cbrt.f64 (pow.f64 y #s(literal 4 binary64))) (cbrt.f64 (pow.f64 y #s(literal 8 binary64))))
(*.f64 (cbrt.f64 (pow.f64 y #s(literal 4 binary64))) (*.f64 (cbrt.f64 (pow.f64 y #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 y #s(literal 8 binary64))) (cbrt.f64 (pow.f64 y #s(literal 4 binary64))))
(*.f64 (cbrt.f64 (pow.f64 y #s(literal 8 binary64))) (neg.f64 (cbrt.f64 (pow.f64 y #s(literal 4 binary64)))))
(*.f64 (pow.f64 y #s(literal 3 binary64)) y)
(*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 4 binary64)))
(*.f64 (pow.f64 (sqrt.f64 y) #s(literal 4 binary64)) (pow.f64 (sqrt.f64 y) #s(literal 4 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 y #s(literal 2 binary64))) #s(literal 4 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 4 binary64)))
(*.f64 (neg.f64 (cbrt.f64 (pow.f64 y #s(literal 8 binary64)))) (cbrt.f64 (pow.f64 y #s(literal 4 binary64))))
(*.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (cbrt.f64 (pow.f64 y #s(literal 4 binary64)))) (cbrt.f64 (pow.f64 y #s(literal 2 binary64))))
(neg.f64 (pow.f64 y #s(literal 4 binary64)))
(sqrt.f64 (pow.f64 y #s(literal 8 binary64)))
(log.f64 (exp.f64 (pow.f64 y #s(literal 4 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 y #s(literal 4 binary64)))))
(log.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (pow.f64 y #s(literal 4 binary64)))))
(cbrt.f64 (pow.f64 y #s(literal 12 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 y #s(literal 4 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 y #s(literal 4 binary64))))
(exp.f64 (*.f64 #s(literal 4 binary64) (log.f64 y)))
(exp.f64 (*.f64 (*.f64 #s(literal 4 binary64) (log.f64 y)) #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) y)
(-.f64 (exp.f64 (log1p.f64 (+.f64 y #s(literal 1 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) (/.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 y #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64)))
(*.f64 (+.f64 y #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (+.f64 y #s(literal 1 binary64))) (cbrt.f64 (pow.f64 (+.f64 y #s(literal 1 binary64)) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 y #s(literal 1 binary64)) #s(literal 2 binary64))) (cbrt.f64 (+.f64 y #s(literal 1 binary64))))
(*.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 (+.f64 y #s(literal 1 binary64))))
(*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 y #s(literal 1 binary64)) #s(literal 1 binary64))))
(*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (+.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y (+.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (+.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 y #s(literal 1 binary64))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) (+.f64 y #s(literal 1 binary64)))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 y (+.f64 y #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))) (neg.f64 (+.f64 y #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y (+.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64)))
(pow.f64 (+.f64 y #s(literal 1 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 y #s(literal 1 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 y #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (+.f64 y #s(literal 1 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 y #s(literal 1 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 y #s(literal 1 binary64)))))
(cbrt.f64 (pow.f64 (+.f64 y #s(literal 1 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 y #s(literal 1 binary64))))
(log1p.f64 (expm1.f64 (+.f64 y #s(literal 1 binary64))))
(exp.f64 (log1p.f64 y))
(exp.f64 (*.f64 (log1p.f64 y) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) y #s(literal 1 binary64))
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) #s(literal 1 binary64))
(fma.f64 (cbrt.f64 (pow.f64 y #s(literal 2 binary64))) (cbrt.f64 y) #s(literal 1 binary64))
Outputs
(*.f64 x y)
(*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 x y))))
(*.f64 y (+.f64 x (neg.f64 (*.f64 x y))))
(*.f64 y (-.f64 x (*.f64 x y)))
(*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 x y))))
(*.f64 y (+.f64 x (neg.f64 (*.f64 x y))))
(*.f64 y (-.f64 x (*.f64 x y)))
(*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 x y))))
(*.f64 y (+.f64 x (neg.f64 (*.f64 x y))))
(*.f64 y (-.f64 x (*.f64 x y)))
(*.f64 #s(literal -1 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64))))
(*.f64 x (neg.f64 (pow.f64 y #s(literal 2 binary64))))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 x y)))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (/.f64 x y) x))
(-.f64 (*.f64 x y) (*.f64 x (pow.f64 y #s(literal 2 binary64))))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 x y)))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (/.f64 x y) x))
(-.f64 (*.f64 x y) (*.f64 x (pow.f64 y #s(literal 2 binary64))))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 x y)))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (/.f64 x y) x))
(-.f64 (*.f64 x y) (*.f64 x (pow.f64 y #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64))))
(*.f64 x (neg.f64 (pow.f64 y #s(literal 2 binary64))))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 x y)))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (/.f64 x y) x))
(-.f64 (*.f64 x y) (*.f64 x (pow.f64 y #s(literal 2 binary64))))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 x y)))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (/.f64 x y) x))
(-.f64 (*.f64 x y) (*.f64 x (pow.f64 y #s(literal 2 binary64))))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 x y)))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (/.f64 x y) x))
(-.f64 (*.f64 x y) (*.f64 x (pow.f64 y #s(literal 2 binary64))))
(*.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))))
(*.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))))
(*.f64 x (-.f64 y (pow.f64 y #s(literal 2 binary64))))
(*.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))))
(*.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))))
(*.f64 x (-.f64 y (pow.f64 y #s(literal 2 binary64))))
(*.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))))
(*.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))))
(*.f64 x (-.f64 y (pow.f64 y #s(literal 2 binary64))))
(*.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))))
(*.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))))
(*.f64 x (-.f64 y (pow.f64 y #s(literal 2 binary64))))
(*.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))))
(*.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))))
(*.f64 x (-.f64 y (pow.f64 y #s(literal 2 binary64))))
(*.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))))
(*.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))))
(*.f64 x (-.f64 y (pow.f64 y #s(literal 2 binary64))))
(*.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))))
(*.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))))
(*.f64 x (-.f64 y (pow.f64 y #s(literal 2 binary64))))
(*.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))))
(*.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))))
(*.f64 x (-.f64 y (pow.f64 y #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))))
(*.f64 (neg.f64 x) (*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))))
(*.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y))) (neg.f64 x))
(*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))))
(*.f64 (neg.f64 x) (*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))))
(*.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y))) (neg.f64 x))
(*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))))
(*.f64 (neg.f64 x) (*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))))
(*.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y))) (neg.f64 x))
(*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))))
(*.f64 (neg.f64 x) (*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))))
(*.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y))) (neg.f64 x))
(*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)))
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)))
(-.f64 (/.f64 x y) x)
(*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)))
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)))
(-.f64 (/.f64 x y) x)
(*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)))
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)))
(-.f64 (/.f64 x y) x)
(*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)))
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)))
(-.f64 (/.f64 x y) x)
(*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)))
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)))
(-.f64 (/.f64 x y) x)
(*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)))
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)))
(-.f64 (/.f64 x y) x)
(*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)))
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)))
(-.f64 (/.f64 x y) x)
(*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)))
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)))
(-.f64 (/.f64 x y) x)
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))))
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)))
(-.f64 (/.f64 x y) x)
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))))
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)))
(-.f64 (/.f64 x y) x)
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))))
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)))
(-.f64 (/.f64 x y) x)
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))))
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)))
(-.f64 (/.f64 x y) x)
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(*.f64 (pow.f64 y #s(literal 1/4 binary64)) (pow.f64 y #s(literal 1/4 binary64)))
(*.f64 (neg.f64 (sqrt.f64 y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(sqrt.f64 y)
(*.f64 (pow.f64 y #s(literal 1/4 binary64)) (neg.f64 (pow.f64 y #s(literal 1/4 binary64))))
(neg.f64 (sqrt.f64 y))
(*.f64 (pow.f64 y #s(literal 1/6 binary64)) (cbrt.f64 y))
(pow.f64 (pow.f64 y #s(literal 1/6 binary64)) #s(literal 3 binary64))
(*.f64 #s(literal -1 binary64) (sqrt.f64 y))
(neg.f64 (sqrt.f64 y))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 y))
(*.f64 (neg.f64 (sqrt.f64 y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(sqrt.f64 y)
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64)) (pow.f64 y #s(literal 1/6 binary64)))
(*.f64 (pow.f64 y #s(literal 1/6 binary64)) (sqrt.f64 (cbrt.f64 (pow.f64 y #s(literal 2 binary64)))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 3/2 binary64)) (sqrt.f64 y))
(*.f64 (neg.f64 (sqrt.f64 y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(sqrt.f64 y)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 y)) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 y)) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (pow.f64 y #s(literal 1/6 binary64)) #s(literal 3/2 binary64)) (pow.f64 (pow.f64 y #s(literal 1/6 binary64)) #s(literal 3/2 binary64)))
(pow.f64 (pow.f64 y #s(literal 1/6 binary64)) #s(literal 3 binary64))
(*.f64 (pow.f64 #s(literal -1 binary64) #s(literal 3/2 binary64)) (sqrt.f64 y))
(*.f64 (sqrt.f64 y) (pow.f64 #s(literal -1 binary64) #s(literal 3/2 binary64)))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 y))
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 3/4 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 3/4 binary64)))
(pow.f64 (cbrt.f64 y) #s(literal 3/2 binary64))
(*.f64 (neg.f64 (pow.f64 y #s(literal 1/4 binary64))) (pow.f64 y #s(literal 1/4 binary64)))
(neg.f64 (sqrt.f64 y))
(*.f64 (*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 1/4 binary64))) (pow.f64 y #s(literal 1/4 binary64)))
(neg.f64 (sqrt.f64 y))
(/.f64 y (sqrt.f64 y))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 3/2 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 y (*.f64 #s(literal 0 binary64) (sqrt.f64 y)))))
(/.f64 (neg.f64 (pow.f64 y #s(literal 3/2 binary64))) y)
(pow.f64 y #s(literal 1/2 binary64))
(*.f64 (neg.f64 (sqrt.f64 y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(sqrt.f64 y)
(pow.f64 (cbrt.f64 y) #s(literal 3/2 binary64))
(pow.f64 (sqrt.f64 y) #s(literal 1 binary64))
(*.f64 (neg.f64 (sqrt.f64 y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(sqrt.f64 y)
(pow.f64 (pow.f64 y #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(cbrt.f64 (pow.f64 y #s(literal 3/2 binary64)))
(pow.f64 (pow.f64 y #s(literal 1/4 binary64)) #s(literal 2 binary64))
(*.f64 (neg.f64 (sqrt.f64 y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(sqrt.f64 y)
(pow.f64 (pow.f64 y #s(literal 1/6 binary64)) #s(literal 3 binary64))
(neg.f64 (sqrt.f64 y))
(fabs.f64 (sqrt.f64 y))
(*.f64 (neg.f64 (sqrt.f64 y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(sqrt.f64 y)
(log.f64 (exp.f64 (sqrt.f64 y)))
(*.f64 (neg.f64 (sqrt.f64 y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(sqrt.f64 y)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 y))))
(*.f64 (neg.f64 (sqrt.f64 y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(sqrt.f64 y)
(cbrt.f64 (pow.f64 y #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 y)))
(log1p.f64 (expm1.f64 (sqrt.f64 y)))
(*.f64 (neg.f64 (sqrt.f64 y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(sqrt.f64 y)
(exp.f64 (log.f64 (sqrt.f64 y)))
(*.f64 (neg.f64 (sqrt.f64 y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(sqrt.f64 y)
(exp.f64 (*.f64 (log.f64 y) #s(literal 1/2 binary64)))
(*.f64 (neg.f64 (sqrt.f64 y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(sqrt.f64 y)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 y)) #s(literal 1 binary64)))
(*.f64 (neg.f64 (sqrt.f64 y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(sqrt.f64 y)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 y)) #s(literal 3/2 binary64)))
(pow.f64 (cbrt.f64 y) #s(literal 3/2 binary64))
(-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 4 binary64)))
(neg.f64 (pow.f64 y #s(literal 4 binary64)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 y #s(literal 4 binary64)))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (pow.f64 y #s(literal 4 binary64))))
(*.f64 y (pow.f64 y #s(literal 3 binary64)))
(pow.f64 y #s(literal 4 binary64))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))
(pow.f64 y #s(literal 4 binary64))
(*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64))
(pow.f64 y #s(literal 4 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64)))
(pow.f64 y #s(literal 4 binary64))
(*.f64 (cbrt.f64 (pow.f64 y #s(literal 4 binary64))) (cbrt.f64 (pow.f64 y #s(literal 8 binary64))))
(*.f64 (cbrt.f64 (pow.f64 y #s(literal 4 binary64))) (*.f64 (cbrt.f64 (pow.f64 y #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 y #s(literal 4 binary64))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (cbrt.f64 (pow.f64 y #s(literal 2 binary64)))))
(*.f64 (cbrt.f64 (pow.f64 y #s(literal 4 binary64))) (pow.f64 (cbrt.f64 (pow.f64 y #s(literal 2 binary64))) #s(literal 4 binary64)))
(*.f64 (cbrt.f64 (pow.f64 y #s(literal 8 binary64))) (cbrt.f64 (pow.f64 y #s(literal 4 binary64))))
(*.f64 (cbrt.f64 (pow.f64 y #s(literal 4 binary64))) (cbrt.f64 (pow.f64 y #s(literal 8 binary64))))
(*.f64 (cbrt.f64 (pow.f64 y #s(literal 8 binary64))) (neg.f64 (cbrt.f64 (pow.f64 y #s(literal 4 binary64)))))
(*.f64 (cbrt.f64 (pow.f64 y #s(literal 4 binary64))) (neg.f64 (cbrt.f64 (pow.f64 y #s(literal 8 binary64)))))
(*.f64 (pow.f64 y #s(literal 3 binary64)) y)
(pow.f64 y #s(literal 4 binary64))
(*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 4 binary64)))
(neg.f64 (pow.f64 y #s(literal 4 binary64)))
(*.f64 (pow.f64 (sqrt.f64 y) #s(literal 4 binary64)) (pow.f64 (sqrt.f64 y) #s(literal 4 binary64)))
(pow.f64 y #s(literal 4 binary64))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 y #s(literal 2 binary64))) #s(literal 4 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 4 binary64)))
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 4 binary64)) (pow.f64 (cbrt.f64 (pow.f64 y #s(literal 2 binary64))) #s(literal 4 binary64)))
(*.f64 (neg.f64 (cbrt.f64 (pow.f64 y #s(literal 8 binary64)))) (cbrt.f64 (pow.f64 y #s(literal 4 binary64))))
(*.f64 (cbrt.f64 (pow.f64 y #s(literal 4 binary64))) (neg.f64 (cbrt.f64 (pow.f64 y #s(literal 8 binary64)))))
(*.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (cbrt.f64 (pow.f64 y #s(literal 4 binary64)))) (cbrt.f64 (pow.f64 y #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 y #s(literal 4 binary64))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (cbrt.f64 (pow.f64 y #s(literal 2 binary64)))))
(*.f64 (cbrt.f64 (pow.f64 y #s(literal 4 binary64))) (pow.f64 (cbrt.f64 (pow.f64 y #s(literal 2 binary64))) #s(literal 4 binary64)))
(neg.f64 (pow.f64 y #s(literal 4 binary64)))
(sqrt.f64 (pow.f64 y #s(literal 8 binary64)))
(log.f64 (exp.f64 (pow.f64 y #s(literal 4 binary64))))
(pow.f64 y #s(literal 4 binary64))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 y #s(literal 4 binary64)))))
(pow.f64 y #s(literal 4 binary64))
(log.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (pow.f64 y #s(literal 4 binary64)))))
(neg.f64 (pow.f64 y #s(literal 4 binary64)))
(cbrt.f64 (pow.f64 y #s(literal 12 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 y #s(literal 4 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 y #s(literal 4 binary64))))
(pow.f64 y #s(literal 4 binary64))
(exp.f64 (*.f64 #s(literal 4 binary64) (log.f64 y)))
(pow.f64 y #s(literal 4 binary64))
(exp.f64 (*.f64 (*.f64 #s(literal 4 binary64) (log.f64 y)) #s(literal 1 binary64)))
(pow.f64 y #s(literal 4 binary64))
(-.f64 #s(literal 1 binary64) y)
(-.f64 (exp.f64 (log1p.f64 (+.f64 y #s(literal 1 binary64)))) #s(literal 1 binary64))
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
(+.f64 y #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) (/.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 y #s(literal 1 binary64))))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) (/.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 #s(literal -1 binary64) y)))
(*.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64)))
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
(+.f64 y #s(literal 1 binary64))
(*.f64 (+.f64 y #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
(+.f64 y #s(literal 1 binary64))
(*.f64 (cbrt.f64 (+.f64 y #s(literal 1 binary64))) (cbrt.f64 (pow.f64 (+.f64 y #s(literal 1 binary64)) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 y #s(literal 1 binary64)) #s(literal 2 binary64))) (cbrt.f64 (+.f64 y #s(literal 1 binary64))))
(*.f64 (cbrt.f64 (+.f64 y #s(literal 1 binary64))) (cbrt.f64 (pow.f64 (+.f64 y #s(literal 1 binary64)) #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 (+.f64 y #s(literal 1 binary64))))
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
(+.f64 y #s(literal 1 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 y #s(literal 1 binary64)) #s(literal 1 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 y #s(literal 1 binary64)) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y (+.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))))
(*.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))))
(/.f64 (fma.f64 y y #s(literal 1 binary64)) (+.f64 y #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (+.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 y #s(literal 1 binary64)) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y (+.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))
(*.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))))
(/.f64 (fma.f64 y y #s(literal 1 binary64)) (+.f64 y #s(literal 1 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y (+.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 y #s(literal 1 binary64)) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (+.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 y #s(literal 1 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 y #s(literal 1 binary64)) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y (+.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) (+.f64 y #s(literal 1 binary64)))
(*.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))))
(/.f64 (fma.f64 y y #s(literal 1 binary64)) (+.f64 y #s(literal 1 binary64)))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 y (+.f64 y #s(literal 1 binary64)) #s(literal 1 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 y #s(literal 1 binary64)) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y (+.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))) (neg.f64 (+.f64 y #s(literal 1 binary64))))
(/.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 y #s(literal 2 binary64)))) (+.f64 (neg.f64 y) #s(literal -1 binary64)))
(/.f64 (-.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64))) (-.f64 #s(literal -1 binary64) y))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y (+.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64)))
(/.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal -1 binary64)) (+.f64 y #s(literal -1 binary64)))
(/.f64 (fma.f64 y y #s(literal -1 binary64)) (+.f64 y #s(literal -1 binary64)))
(pow.f64 (+.f64 y #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
(+.f64 y #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 y #s(literal 1 binary64))) #s(literal 3 binary64))
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
(+.f64 y #s(literal 1 binary64))
(pow.f64 (pow.f64 (+.f64 y #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
(+.f64 y #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) #s(literal 2 binary64))
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
(+.f64 y #s(literal 1 binary64))
(sqrt.f64 (pow.f64 (+.f64 y #s(literal 1 binary64)) #s(literal 2 binary64)))
(fabs.f64 (+.f64 y #s(literal 1 binary64)))
(log.f64 (exp.f64 (+.f64 y #s(literal 1 binary64))))
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
(+.f64 y #s(literal 1 binary64))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 y #s(literal 1 binary64)))))
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
(+.f64 y #s(literal 1 binary64))
(cbrt.f64 (pow.f64 (+.f64 y #s(literal 1 binary64)) #s(literal 3 binary64)))
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
(+.f64 y #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (+.f64 y #s(literal 1 binary64))))
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
(+.f64 y #s(literal 1 binary64))
(log1p.f64 (expm1.f64 (+.f64 y #s(literal 1 binary64))))
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
(+.f64 y #s(literal 1 binary64))
(exp.f64 (log1p.f64 y))
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
(+.f64 y #s(literal 1 binary64))
(exp.f64 (*.f64 (log1p.f64 y) #s(literal 1 binary64)))
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
(+.f64 y #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) y #s(literal 1 binary64))
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
(+.f64 y #s(literal 1 binary64))
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) #s(literal 1 binary64))
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
(+.f64 y #s(literal 1 binary64))
(fma.f64 (cbrt.f64 (pow.f64 y #s(literal 2 binary64))) (cbrt.f64 y) #s(literal 1 binary64))
(fma.f64 (cbrt.f64 y) (cbrt.f64 (pow.f64 y #s(literal 2 binary64))) #s(literal 1 binary64))

eval144.0ms (2.5%)

Compiler

Compiled 11229 to 2233 computations (80.1% saved)

prune215.0ms (3.7%)

Pruning

10 alts after pruning (3 fresh and 7 done)

PrunedKeptTotal
New7022704
Fresh011
Picked235
Done044
Total70410714
Accuracy
100.0%
Counts
714 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
30.5%
(/.f64 (*.f64 (neg.f64 x) (pow.f64 y #s(literal 4 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) y))))
73.0%
(*.f64 (*.f64 y y) (-.f64 (/.f64 x y) x))
72.4%
(*.f64 (*.f64 x y) (pow.f64 (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)) #s(literal 3/2 binary64)))
60.9%
(*.f64 (*.f64 x y) (pow.f64 (neg.f64 (cbrt.f64 y)) #s(literal 3 binary64)))
99.9%
(*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y))
30.4%
(*.f64 (*.f64 x y) (*.f64 (sqrt.f64 y) (neg.f64 (sqrt.f64 y))))
61.3%
(*.f64 (*.f64 x y) (neg.f64 y))
90.8%
(*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y)))
52.2%
(*.f64 x (*.f64 y (neg.f64 y)))
53.6%
(*.f64 x y)
Compiler

Compiled 103 to 68 computations (34% saved)

localize180.0ms (3.1%)

Algorithm
egg-herbie
Localize:

Found 24 expressions of interest:

NewMetricScoreProgram
cost-diff0
(+.f64 #s(literal 1 binary64) y)
cost-diff0
(pow.f64 y #s(literal 4 binary64))
cost-diff0
(neg.f64 x)
cost-diff0
(*.f64 (neg.f64 x) (pow.f64 y #s(literal 4 binary64)))
cost-diff0
(/.f64 x y)
cost-diff0
(-.f64 (/.f64 x y) x)
cost-diff0
(*.f64 y y)
cost-diff128
(*.f64 (*.f64 y y) (-.f64 (/.f64 x y) x))
cost-diff0
(pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64))
cost-diff0
(pow.f64 (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)) #s(literal 3/2 binary64))
cost-diff0
(*.f64 x y)
cost-diff0
(*.f64 (*.f64 x y) (pow.f64 (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)) #s(literal 3/2 binary64)))
accuracy100.0%
(neg.f64 x)
accuracy100.0%
(*.f64 y (+.f64 #s(literal 1 binary64) y))
accuracy96.0%
(*.f64 (neg.f64 x) (pow.f64 y #s(literal 4 binary64)))
accuracy69.5%
(/.f64 (*.f64 (neg.f64 x) (pow.f64 y #s(literal 4 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) y))))
accuracy100.0%
(/.f64 x y)
accuracy100.0%
(-.f64 (/.f64 x y) x)
accuracy100.0%
(*.f64 y y)
accuracy73.3%
(*.f64 (*.f64 y y) (-.f64 (/.f64 x y) x))
accuracy99.9%
(*.f64 (*.f64 x y) (pow.f64 (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)) #s(literal 3/2 binary64)))
accuracy99.7%
(pow.f64 (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)) #s(literal 3/2 binary64))
accuracy99.6%
(pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64))
accuracy99.5%
(cbrt.f64 (+.f64 #s(literal 1 binary64) y))
Rules
732×fma-neg
495×associate-/r*
493×div-sub
438×distribute-lft-neg-in
366×cancel-sign-sub-inv
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
028392
157384
2110383
3280383
4491370
5890367
62158367
76305367
Stop Event
node limit
Calls
Call 1
Inputs
(*.f64 (*.f64 x y) (pow.f64 (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)) #s(literal 3/2 binary64)))
(*.f64 x y)
x
y
(pow.f64 (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)) #s(literal 3/2 binary64))
(pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64))
(cbrt.f64 (+.f64 #s(literal 1 binary64) y))
(+.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
#s(literal 2 binary64)
#s(literal 3/2 binary64)
(*.f64 (*.f64 y y) (-.f64 (/.f64 x y) x))
(*.f64 y y)
y
(-.f64 (/.f64 x y) x)
(/.f64 x y)
x
(/.f64 (*.f64 (neg.f64 x) (pow.f64 y #s(literal 4 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) y))))
(*.f64 (neg.f64 x) (pow.f64 y #s(literal 4 binary64)))
(neg.f64 x)
x
(pow.f64 y #s(literal 4 binary64))
y
#s(literal 4 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) y)))
#s(literal 1 binary64)
(*.f64 y (+.f64 #s(literal 1 binary64) y))
(+.f64 #s(literal 1 binary64) y)
Outputs
(*.f64 (*.f64 x y) (pow.f64 (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)) #s(literal 3/2 binary64)))
(*.f64 (*.f64 x y) (pow.f64 (pow.f64 (cbrt.f64 (+.f64 y #s(literal 1 binary64))) #s(literal 2 binary64)) #s(literal 3/2 binary64)))
(*.f64 y (*.f64 x (pow.f64 (pow.f64 (cbrt.f64 (+.f64 y #s(literal 1 binary64))) #s(literal 2 binary64)) #s(literal 3/2 binary64))))
(*.f64 x y)
x
y
(pow.f64 (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 (cbrt.f64 (+.f64 y #s(literal 1 binary64))) #s(literal 2 binary64)) #s(literal 3/2 binary64))
(pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64))
(pow.f64 (cbrt.f64 (+.f64 y #s(literal 1 binary64))) #s(literal 2 binary64))
(cbrt.f64 (+.f64 #s(literal 1 binary64) y))
(cbrt.f64 (+.f64 y #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) y)
(+.f64 y #s(literal 1 binary64))
#s(literal 1 binary64)
#s(literal 2 binary64)
#s(literal 3/2 binary64)
(*.f64 (*.f64 y y) (-.f64 (/.f64 x y) x))
(*.f64 y (*.f64 x (-.f64 #s(literal 1 binary64) y)))
(*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y)))
(*.f64 y y)
y
(-.f64 (/.f64 x y) x)
(/.f64 x y)
x
(/.f64 (*.f64 (neg.f64 x) (pow.f64 y #s(literal 4 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) y))))
(*.f64 (neg.f64 x) (/.f64 (pow.f64 y #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 y #s(literal 1 binary64))))))
(/.f64 (*.f64 x (neg.f64 (pow.f64 y #s(literal 4 binary64)))) (fma.f64 y (+.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 x (/.f64 (neg.f64 (pow.f64 y #s(literal 4 binary64))) (fma.f64 y (+.f64 y #s(literal 1 binary64)) #s(literal 1 binary64))))
(*.f64 (pow.f64 y #s(literal 4 binary64)) (/.f64 x (-.f64 #s(literal -1 binary64) (fma.f64 y y y))))
(*.f64 x (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y (-.f64 #s(literal -1 binary64) y) #s(literal -1 binary64))))
(*.f64 (neg.f64 x) (pow.f64 y #s(literal 4 binary64)))
(*.f64 x (neg.f64 (pow.f64 y #s(literal 4 binary64))))
(neg.f64 x)
x
(pow.f64 y #s(literal 4 binary64))
y
#s(literal 4 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) y)))
(+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 y #s(literal 1 binary64))))
(fma.f64 y (+.f64 y #s(literal 1 binary64)) #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 y (+.f64 #s(literal 1 binary64) y))
(*.f64 y (+.f64 y #s(literal 1 binary64)))
(fma.f64 y y y)
(+.f64 #s(literal 1 binary64) y)
(+.f64 y #s(literal 1 binary64))
Results
79.0ms256×0valid
Compiler

Compiled 110 to 23 computations (79.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 43.0ms
ival-pow: 20.0ms (46.5% of total)
ival-mult: 11.0ms (25.6% of total)
ival-div: 4.0ms (9.3% of total)
ival-add: 3.0ms (7% of total)
ival-cbrt: 2.0ms (4.7% of total)
ival-sub: 1.0ms (2.3% of total)
const: 1.0ms (2.3% of total)
ival-neg: 1.0ms (2.3% of total)
backward-pass: 0.0ms (0% of total)

series20.0ms (0.3%)

Counts
9 → 156
Calls
Call 1
Inputs
#<alt (cbrt.f64 (+.f64 #s(literal 1 binary64) y))>
#<alt (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64))>
#<alt (pow.f64 (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)) #s(literal 3/2 binary64))>
#<alt (*.f64 (*.f64 x y) (pow.f64 (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)) #s(literal 3/2 binary64)))>
#<alt (*.f64 (*.f64 y y) (-.f64 (/.f64 x y) x))>
#<alt (*.f64 y y)>
#<alt (/.f64 (*.f64 (neg.f64 x) (pow.f64 y #s(literal 4 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) y))))>
#<alt (*.f64 (neg.f64 x) (pow.f64 y #s(literal 4 binary64)))>
#<alt (neg.f64 x)>
Outputs
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) y))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -1/9 binary64) y))))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1/3 binary64) (*.f64 y (-.f64 (*.f64 #s(literal 5/81 binary64) y) #s(literal 1/9 binary64))))))>
#<alt (cbrt.f64 y)>
#<alt (*.f64 y (+.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))))))>
#<alt (*.f64 y (+.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal -1/9 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 8 binary64))))) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64))))))))>
#<alt (*.f64 y (+.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal -1/9 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 8 binary64))))) (+.f64 (*.f64 #s(literal 5/81 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 11 binary64))))) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (cbrt.f64 y) (cbrt.f64 #s(literal -1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))) (cbrt.f64 #s(literal -1 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/9 binary64) (*.f64 (cbrt.f64 y) (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))))) (*.f64 #s(literal 1/3 binary64) (*.f64 (cbrt.f64 (pow.f64 y #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))) (pow.f64 y #s(literal 3 binary64)))) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))) (cbrt.f64 #s(literal -1 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/9 binary64) (*.f64 (cbrt.f64 (pow.f64 y #s(literal 10 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))))) (*.f64 #s(literal -5/81 binary64) (*.f64 (cbrt.f64 (pow.f64 y #s(literal 7 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 8 binary64)))))) (pow.f64 y #s(literal 3 binary64)))) (*.f64 #s(literal 1/3 binary64) (*.f64 (cbrt.f64 (pow.f64 y #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))) (pow.f64 y #s(literal 3 binary64)))) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))) (cbrt.f64 #s(literal -1 binary64))))))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2/3 binary64) y))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 2/3 binary64) (*.f64 #s(literal -1/9 binary64) y))))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 2/3 binary64) (*.f64 y (-.f64 (*.f64 #s(literal 4/81 binary64) y) #s(literal 1/9 binary64))))))>
#<alt (*.f64 y (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))))>
#<alt (*.f64 y (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))) (*.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))) #s(literal 2 binary64))))))))>
#<alt (*.f64 y (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))) (+.f64 (*.f64 #s(literal -1/9 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))) #s(literal 5 binary64)))))) (*.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))) #s(literal 2 binary64)))))))))>
#<alt (*.f64 y (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))) (+.f64 (*.f64 #s(literal -1/9 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))) #s(literal 5 binary64)))))) (+.f64 (*.f64 #s(literal 5/81 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 9 binary64))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))) #s(literal 8 binary64)))))) (*.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))) #s(literal 2 binary64))))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 y (cbrt.f64 #s(literal -1 binary64))) (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))) #s(literal 2 binary64)))))) (*.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/9 binary64) (*.f64 (/.f64 (cbrt.f64 #s(literal -1 binary64)) (pow.f64 y #s(literal 3 binary64))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))) #s(literal 5 binary64)))))) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))) #s(literal 2 binary64)))))) (pow.f64 y #s(literal 3 binary64)))) (*.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/9 binary64) (*.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))) #s(literal 5 binary64)))))) (*.f64 #s(literal -5/81 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))) #s(literal 8 binary64))))))) (pow.f64 y #s(literal 3 binary64)))) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))) #s(literal 2 binary64)))))) (pow.f64 y #s(literal 3 binary64)))) (*.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))))))))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) y)>
#<alt (+.f64 #s(literal 1 binary64) y)>
#<alt (+.f64 #s(literal 1 binary64) y)>
#<alt y>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))>
#<alt y>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))>
#<alt (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) y)))>
#<alt (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) y)))>
#<alt (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) y)))>
#<alt (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) y)))>
#<alt (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) y)))>
#<alt (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) y)))>
#<alt (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) y)))>
#<alt (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) y)))>
#<alt (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) y)))>
#<alt (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) y)))>
#<alt (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) y)))>
#<alt (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) y)))>
#<alt (*.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 (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x (/.f64 x y)))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x (/.f64 x y)))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x (/.f64 x y)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x (/.f64 x y)))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x (/.f64 x y)))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x (/.f64 x y)))>
#<alt (*.f64 x y)>
#<alt (*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 x y))))>
#<alt (*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 x y))))>
#<alt (*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 x y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 x y)))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 x y)))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 x y)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 x y)))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 x y)))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 x y)))>
#<alt (*.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))))>
#<alt (*.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))))>
#<alt (*.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))))>
#<alt (*.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))))>
#<alt (*.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))))>
#<alt (*.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))))>
#<alt (*.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))))>
#<alt (*.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))))>
#<alt (pow.f64 y #s(literal 2 binary64))>
#<alt (pow.f64 y #s(literal 2 binary64))>
#<alt (pow.f64 y #s(literal 2 binary64))>
#<alt (pow.f64 y #s(literal 2 binary64))>
#<alt (pow.f64 y #s(literal 2 binary64))>
#<alt (pow.f64 y #s(literal 2 binary64))>
#<alt (pow.f64 y #s(literal 2 binary64))>
#<alt (pow.f64 y #s(literal 2 binary64))>
#<alt (pow.f64 y #s(literal 2 binary64))>
#<alt (pow.f64 y #s(literal 2 binary64))>
#<alt (pow.f64 y #s(literal 2 binary64))>
#<alt (pow.f64 y #s(literal 2 binary64))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (pow.f64 y #s(literal 4 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) y)))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (pow.f64 y #s(literal 4 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) y)))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (pow.f64 y #s(literal 4 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) y)))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (pow.f64 y #s(literal 4 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) y)))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (pow.f64 y #s(literal 4 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) y)))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (pow.f64 y #s(literal 4 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) y)))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (pow.f64 y #s(literal 4 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) y)))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (pow.f64 y #s(literal 4 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) y)))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (pow.f64 y #s(literal 4 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) y)))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (pow.f64 y #s(literal 4 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) y)))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (pow.f64 y #s(literal 4 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) y)))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (pow.f64 y #s(literal 4 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (pow.f64 y #s(literal 4 binary64))))>
#<alt (*.f64 (pow.f64 y #s(literal 4 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 x y)))>
#<alt (*.f64 (pow.f64 y #s(literal 4 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 y (+.f64 x (*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) x)))))))>
#<alt (*.f64 (pow.f64 y #s(literal 4 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 y (+.f64 x (*.f64 y (+.f64 x (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (+.f64 x (*.f64 #s(literal -1 binary64) x))))))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 x y)))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) x) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x (pow.f64 y #s(literal 2 binary64)))) (+.f64 (/.f64 x y) (/.f64 x (pow.f64 y #s(literal 2 binary64)))))))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) x) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x (pow.f64 y #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x (pow.f64 y #s(literal 3 binary64)))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (*.f64 #s(literal -1 binary64) x)) (pow.f64 y #s(literal 3 binary64)))) (+.f64 (/.f64 x y) (/.f64 x (pow.f64 y #s(literal 2 binary64)))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 x y)))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (*.f64 #s(literal -1 binary64) x)) y))) y))))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal 2 binary64) x)) y)))) y))) y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (pow.f64 y #s(literal 4 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (pow.f64 y #s(literal 4 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (pow.f64 y #s(literal 4 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (pow.f64 y #s(literal 4 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (pow.f64 y #s(literal 4 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (pow.f64 y #s(literal 4 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (pow.f64 y #s(literal 4 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (pow.f64 y #s(literal 4 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (pow.f64 y #s(literal 4 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (pow.f64 y #s(literal 4 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (pow.f64 y #s(literal 4 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (pow.f64 y #s(literal 4 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (pow.f64 y #s(literal 4 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (pow.f64 y #s(literal 4 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (pow.f64 y #s(literal 4 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (pow.f64 y #s(literal 4 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (pow.f64 y #s(literal 4 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (pow.f64 y #s(literal 4 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (pow.f64 y #s(literal 4 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (pow.f64 y #s(literal 4 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (pow.f64 y #s(literal 4 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (pow.f64 y #s(literal 4 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (pow.f64 y #s(literal 4 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (pow.f64 y #s(literal 4 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
Calls

39 calls:

TimeVariablePointExpression
1.0ms
x
@0
(/ (* (neg x) (pow y 4)) (+ 1 (* y (+ 1 y))))
1.0ms
y
@-inf
(/ (* (neg x) (pow y 4)) (+ 1 (* y (+ 1 y))))
1.0ms
y
@-inf
(pow (cbrt (+ 1 y)) 2)
1.0ms
y
@inf
(pow (cbrt (+ 1 y)) 2)
1.0ms
y
@-inf
(cbrt (+ 1 y))

rewrite188.0ms (3.2%)

Algorithm
batch-egg-rewrite
Rules
1214×log1p-expm1-u
192×expm1-log1p-u
182×add-cube-cbrt
180×pow1
179×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
028223
1436187
26126187
Stop Event
node limit
Counts
9 → 229
Calls
Call 1
Inputs
(cbrt.f64 (+.f64 #s(literal 1 binary64) y))
(pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)) #s(literal 3/2 binary64))
(*.f64 (*.f64 x y) (pow.f64 (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)) #s(literal 3/2 binary64)))
(*.f64 (*.f64 y y) (-.f64 (/.f64 x y) x))
(*.f64 y y)
(/.f64 (*.f64 (neg.f64 x) (pow.f64 y #s(literal 4 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) y))))
(*.f64 (neg.f64 x) (pow.f64 y #s(literal 4 binary64)))
(neg.f64 x)
Outputs
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) y)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (cbrt.f64 (+.f64 #s(literal 1 binary64) y)))
(*.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) y))) #s(literal 2 binary64)) (cbrt.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) y))))
(*.f64 (cbrt.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) y))) (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) y))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 1/6 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (cbrt.f64 (+.f64 #s(literal 1 binary64) y)))
(*.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) (sqrt.f64 y)) #s(literal 1/3 binary64)) (pow.f64 (hypot.f64 #s(literal 1 binary64) (sqrt.f64 y)) #s(literal 1/3 binary64)))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) y)) #s(literal 4 binary64)))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) y))) #s(literal 2 binary64))))
(/.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (cbrt.f64 (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) y)))
(/.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))) (cbrt.f64 (-.f64 #s(literal 1 binary64) y)))
(pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 1/3 binary64))
(pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) y))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 1/6 binary64)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)))
(fabs.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) y)))
(log.f64 (exp.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) y))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) y)))))
(expm1.f64 (log1p.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) y))))
(log1p.f64 (expm1.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) y))))
(exp.f64 (*.f64 #s(literal 1/3 binary64) (log1p.f64 y)))
(exp.f64 (*.f64 (log1p.f64 y) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (log1p.f64 y)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) y)) (cbrt.f64 (+.f64 #s(literal 1 binary64) y)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) y))) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) y)) #s(literal 4 binary64))))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) y))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) y))) (cbrt.f64 (+.f64 #s(literal 1 binary64) y))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) y)) #s(literal 4 binary64))) (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) y))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 1/6 binary64)) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 1/6 binary64)) (cbrt.f64 (+.f64 #s(literal 1 binary64) y))))
(*.f64 (hypot.f64 #s(literal 1 binary64) (sqrt.f64 y)) (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 1/6 binary64)))
(*.f64 (*.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) y)) (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) y))) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) y))))
(sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) y)) #s(literal 4 binary64)))
(log.f64 (exp.f64 (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64))))
(exp.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/3 binary64) (log1p.f64 y))))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/3 binary64) (log1p.f64 y))) #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) y)
(+.f64 y #s(literal 1 binary64))
(-.f64 (exp.f64 (log1p.f64 (+.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)) (/.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) y)))
(*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y))
(*.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) y)) (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)) (cbrt.f64 (+.f64 #s(literal 1 binary64) y)))
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(*.f64 (hypot.f64 #s(literal 1 binary64) (sqrt.f64 y)) (hypot.f64 #s(literal 1 binary64) (sqrt.f64 y)))
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(cbrt.f64 (pow.f64 (*.f64 x (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)))) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 x (pow.f64 y #s(literal 4 binary64))) #s(literal 3 binary64)) (pow.f64 (fma.f64 y (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 x (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))))))
(log1p.f64 (expm1.f64 (*.f64 x (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))))))
(exp.f64 (log.f64 (*.f64 x (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))))) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 x (pow.f64 y #s(literal 4 binary64))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (pow.f64 y #s(literal 4 binary64))))) #s(literal 1 binary64))
(pow.f64 (*.f64 x (pow.f64 y #s(literal 4 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (pow.f64 y #s(literal 4 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x (pow.f64 y #s(literal 4 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 x)) #s(literal 2 binary64))
(neg.f64 (*.f64 x (pow.f64 y #s(literal 4 binary64))))
(sqrt.f64 (*.f64 (pow.f64 y #s(literal 8 binary64)) (pow.f64 x #s(literal 2 binary64))))
(log.f64 (pow.f64 (exp.f64 (pow.f64 y #s(literal 4 binary64))) x))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (pow.f64 y #s(literal 4 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 x (pow.f64 y #s(literal 4 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 x (pow.f64 y #s(literal 4 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 x (pow.f64 y #s(literal 4 binary64)))))
(exp.f64 (log.f64 (*.f64 x (pow.f64 y #s(literal 4 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (pow.f64 y #s(literal 4 binary64)))) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) x)
(-.f64 #s(literal 0 binary64) x)
(-.f64 (exp.f64 (log1p.f64 x)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) x)
(*.f64 x #s(literal 1 binary64))
(*.f64 x #s(literal -1 binary64))
(*.f64 (cbrt.f64 x) (cbrt.f64 (pow.f64 x #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 x #s(literal 2 binary64))) (cbrt.f64 x))
(*.f64 (cbrt.f64 (pow.f64 x #s(literal 2 binary64))) (neg.f64 (cbrt.f64 x)))
(*.f64 (sqrt.f64 x) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x)))
(*.f64 #s(literal -1 binary64) x)
(*.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (neg.f64 (cbrt.f64 (pow.f64 x #s(literal 2 binary64)))) (cbrt.f64 x))
(*.f64 (*.f64 #s(literal -1 binary64) (cbrt.f64 (pow.f64 x #s(literal 2 binary64)))) (cbrt.f64 x))
(*.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) x))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 2 binary64))) x)
(pow.f64 x #s(literal 1 binary64))
(pow.f64 (cbrt.f64 x) #s(literal 3 binary64))
(pow.f64 (sqrt.f64 x) #s(literal 2 binary64))
(pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (pow.f64 x #s(literal 2 binary64)))
(log.f64 (exp.f64 x))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)))
(cbrt.f64 (pow.f64 x #s(literal 3 binary64)))
x
(expm1.f64 (log1p.f64 x))
(log1p.f64 (expm1.f64 x))
(exp.f64 (log.f64 x))
(exp.f64 (*.f64 (log.f64 x) #s(literal 1 binary64)))

simplify316.0ms (5.4%)

Algorithm
egg-herbie
Rules
433×associate-*l*
427×fma-define
426×associate-*r*
422×fma-neg
310×*-commutative
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
072412865
1174612420
2646712374
Stop Event
node limit
Counts
385 → 391
Calls
Call 1
Inputs
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) y))
(+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -1/9 binary64) y))))
(+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1/3 binary64) (*.f64 y (-.f64 (*.f64 #s(literal 5/81 binary64) y) #s(literal 1/9 binary64))))))
(cbrt.f64 y)
(*.f64 y (+.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))))))
(*.f64 y (+.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal -1/9 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 8 binary64))))) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64))))))))
(*.f64 y (+.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal -1/9 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 8 binary64))))) (+.f64 (*.f64 #s(literal 5/81 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 11 binary64))))) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))))))))
(*.f64 #s(literal -1 binary64) (*.f64 (cbrt.f64 y) (cbrt.f64 #s(literal -1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))) (cbrt.f64 #s(literal -1 binary64))))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/9 binary64) (*.f64 (cbrt.f64 y) (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))))) (*.f64 #s(literal 1/3 binary64) (*.f64 (cbrt.f64 (pow.f64 y #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))) (pow.f64 y #s(literal 3 binary64)))) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))) (cbrt.f64 #s(literal -1 binary64))))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/9 binary64) (*.f64 (cbrt.f64 (pow.f64 y #s(literal 10 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))))) (*.f64 #s(literal -5/81 binary64) (*.f64 (cbrt.f64 (pow.f64 y #s(literal 7 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 8 binary64)))))) (pow.f64 y #s(literal 3 binary64)))) (*.f64 #s(literal 1/3 binary64) (*.f64 (cbrt.f64 (pow.f64 y #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))) (pow.f64 y #s(literal 3 binary64)))) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))) (cbrt.f64 #s(literal -1 binary64))))))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2/3 binary64) y))
(+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 2/3 binary64) (*.f64 #s(literal -1/9 binary64) y))))
(+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 2/3 binary64) (*.f64 y (-.f64 (*.f64 #s(literal 4/81 binary64) y) #s(literal 1/9 binary64))))))
(*.f64 y (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))))
(*.f64 y (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))) (*.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))) #s(literal 2 binary64))))))))
(*.f64 y (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))) (+.f64 (*.f64 #s(literal -1/9 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))) #s(literal 5 binary64)))))) (*.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))) #s(literal 2 binary64)))))))))
(*.f64 y (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))) (+.f64 (*.f64 #s(literal -1/9 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))) #s(literal 5 binary64)))))) (+.f64 (*.f64 #s(literal 5/81 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 9 binary64))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))) #s(literal 8 binary64)))))) (*.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))) #s(literal 2 binary64))))))))))
(*.f64 #s(literal -1 binary64) (*.f64 (*.f64 y (cbrt.f64 #s(literal -1 binary64))) (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))) #s(literal 2 binary64)))))) (*.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))))))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/9 binary64) (*.f64 (/.f64 (cbrt.f64 #s(literal -1 binary64)) (pow.f64 y #s(literal 3 binary64))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))) #s(literal 5 binary64)))))) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))) #s(literal 2 binary64)))))) (pow.f64 y #s(literal 3 binary64)))) (*.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))))))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/9 binary64) (*.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))) #s(literal 5 binary64)))))) (*.f64 #s(literal -5/81 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))) #s(literal 8 binary64))))))) (pow.f64 y #s(literal 3 binary64)))) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))) #s(literal 2 binary64)))))) (pow.f64 y #s(literal 3 binary64)))) (*.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))))))))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) y)
(+.f64 #s(literal 1 binary64) y)
(+.f64 #s(literal 1 binary64) y)
y
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
y
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
(*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) y)))
(*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) y)))
(*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) y)))
(*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) y)))
(*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) y)))
(*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) y)))
(*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) y)))
(*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) y)))
(*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) y)))
(*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) y)))
(*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) y)))
(*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) y)))
(*.f64 x y)
(*.f64 y (+.f64 x (*.f64 x y)))
(*.f64 y (+.f64 x (*.f64 x y)))
(*.f64 y (+.f64 x (*.f64 x y)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x (/.f64 x y)))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x (/.f64 x y)))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x (/.f64 x y)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x (/.f64 x y)))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x (/.f64 x y)))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x (/.f64 x y)))
(*.f64 x y)
(*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 x y))))
(*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 x y))))
(*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 x y))))
(*.f64 #s(literal -1 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64))))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 x y)))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 x y)))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 x y)))
(*.f64 #s(literal -1 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64))))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 x y)))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 x y)))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 x y)))
(*.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))))
(*.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))))
(*.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))))
(*.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))))
(*.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))))
(*.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))))
(*.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))))
(*.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))))
(*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))))
(*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))))
(*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))))
(pow.f64 y #s(literal 2 binary64))
(pow.f64 y #s(literal 2 binary64))
(pow.f64 y #s(literal 2 binary64))
(pow.f64 y #s(literal 2 binary64))
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(+.f64 (*.f64 (/.f64 x y) (pow.f64 y #s(literal 2 binary64))) (*.f64 x (pow.f64 y #s(literal 2 binary64))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x (/.f64 x y))))) #s(literal 1 binary64))
(/.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (+.f64 (pow.f64 (+.f64 x (/.f64 x y)) #s(literal 2 binary64)) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(/.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (+.f64 x (/.f64 x y)) #s(literal 2 binary64))) (+.f64 x (/.f64 x y)))
(/.f64 (*.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 y #s(literal 2 binary64))) (+.f64 (pow.f64 (+.f64 x (/.f64 x y)) #s(literal 2 binary64)) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(/.f64 (*.f64 (pow.f64 (+.f64 x (/.f64 x y)) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (+.f64 x (/.f64 x y)))
(pow.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x (/.f64 x y))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x (/.f64 x y)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x (/.f64 x y))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 y (sqrt.f64 (+.f64 x (/.f64 x y)))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (+.f64 x (/.f64 x y)) #s(literal 2 binary64))))
(log.f64 (pow.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))) (+.f64 x (/.f64 x y))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x (/.f64 x y))))))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x (/.f64 x y))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (+.f64 x (/.f64 x y)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 x (/.f64 x y)) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x (/.f64 x y)))))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x (/.f64 x y)))))
(exp.f64 (log.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x (/.f64 x y)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x (/.f64 x y)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 y #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 y #s(literal 2 binary64))
(pow.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) #s(literal 3 binary64))
(pow.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (pow.f64 y #s(literal 4 binary64)))
(fabs.f64 (pow.f64 y #s(literal 2 binary64)))
(log.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 y #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 y #s(literal 6 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 y #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 y #s(literal 2 binary64))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 y)))
(exp.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 y)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)))))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)))))
(*.f64 x (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))))
(*.f64 (pow.f64 y #s(literal 4 binary64)) (/.f64 x (fma.f64 y (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))))
(*.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)))))
(*.f64 (*.f64 x (pow.f64 y #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))))
(*.f64 (*.f64 x (pow.f64 y #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 y (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)))))
(*.f64 (*.f64 x (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)))) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (*.f64 x (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))))) (pow.f64 (cbrt.f64 (*.f64 x (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x (pow.f64 y #s(literal 4 binary64)))) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (*.f64 x (pow.f64 y #s(literal 4 binary64)))) (fma.f64 y (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x (pow.f64 y #s(literal 4 binary64)))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (*.f64 x (pow.f64 y #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)))))
(*.f64 (cbrt.f64 (pow.f64 x #s(literal 2 binary64))) (*.f64 (cbrt.f64 x) (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)))))
(*.f64 (sqrt.f64 (*.f64 x (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))))) (sqrt.f64 (*.f64 x (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))))))
(*.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 x)) (/.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 x)) (fma.f64 y (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))))
(*.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 x)) (*.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)))))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))) (*.f64 x (pow.f64 y #s(literal 4 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)))))
(*.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))) x)
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (fma.f64 y (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))) #s(literal 2 binary64))) (/.f64 (*.f64 x (pow.f64 y #s(literal 4 binary64))) (cbrt.f64 (fma.f64 y (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) (hypot.f64 (sqrt.f64 y) y))) (/.f64 (*.f64 x (pow.f64 y #s(literal 4 binary64))) (hypot.f64 #s(literal 1 binary64) (hypot.f64 (sqrt.f64 y) y))))
(*.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (hypot.f64 #s(literal 1 binary64) (hypot.f64 (sqrt.f64 y) y))) (/.f64 x (hypot.f64 #s(literal 1 binary64) (hypot.f64 (sqrt.f64 y) y))))
(*.f64 (/.f64 x (pow.f64 (cbrt.f64 (fma.f64 y (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))) #s(literal 2 binary64))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (cbrt.f64 (fma.f64 y (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)))))
(*.f64 (/.f64 x (hypot.f64 #s(literal 1 binary64) (hypot.f64 (sqrt.f64 y) y))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (hypot.f64 #s(literal 1 binary64) (hypot.f64 (sqrt.f64 y) y))))
(*.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) (/.f64 x (fma.f64 y (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))))
(*.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (cbrt.f64 (fma.f64 y (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))) #s(literal 2 binary64))) (/.f64 x (cbrt.f64 (fma.f64 y (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x (pow.f64 y #s(literal 4 binary64)))) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (*.f64 x (pow.f64 y #s(literal 4 binary64)))) (fma.f64 y (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x (pow.f64 y #s(literal 4 binary64)))) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (fma.f64 y (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 x (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x (pow.f64 y #s(literal 4 binary64)))) #s(literal 2 binary64)) (hypot.f64 #s(literal 1 binary64) (hypot.f64 (sqrt.f64 y) y))) (/.f64 (cbrt.f64 (*.f64 x (pow.f64 y #s(literal 4 binary64)))) (hypot.f64 #s(literal 1 binary64) (hypot.f64 (sqrt.f64 y) y))))
(*.f64 (/.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 x)) #s(literal 1 binary64)) (/.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 x)) (fma.f64 y (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))))
(*.f64 (/.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 x)) (pow.f64 (cbrt.f64 (fma.f64 y (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))) #s(literal 2 binary64))) (/.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 x)) (cbrt.f64 (fma.f64 y (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)))))
(*.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))))
(*.f64 (/.f64 (*.f64 x (pow.f64 y #s(literal 4 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 y (pow.f64 y #s(literal 2 binary64))) #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 y (pow.f64 y #s(literal 2 binary64))) (-.f64 (+.f64 y (pow.f64 y #s(literal 2 binary64))) #s(literal 1 binary64)))))
(*.f64 (/.f64 (*.f64 x (pow.f64 y #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 y (pow.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (+.f64 y (pow.f64 y #s(literal 2 binary64)))))
(pow.f64 (*.f64 x (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))))) #s(literal 2 binary64))
(pow.f64 (/.f64 (fma.f64 y (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) (*.f64 x (pow.f64 y #s(literal 4 binary64)))) #s(literal -1 binary64))
(neg.f64 (*.f64 x (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)))))
(sqrt.f64 (pow.f64 (*.f64 x (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 x) (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)))))))
(cbrt.f64 (pow.f64 (*.f64 x (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)))) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 x (pow.f64 y #s(literal 4 binary64))) #s(literal 3 binary64)) (pow.f64 (fma.f64 y (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 x (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))))))
(log1p.f64 (expm1.f64 (*.f64 x (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))))))
(exp.f64 (log.f64 (*.f64 x (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))))) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 x (pow.f64 y #s(literal 4 binary64))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (pow.f64 y #s(literal 4 binary64))))) #s(literal 1 binary64))
(pow.f64 (*.f64 x (pow.f64 y #s(literal 4 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (pow.f64 y #s(literal 4 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x (pow.f64 y #s(literal 4 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 x)) #s(literal 2 binary64))
(neg.f64 (*.f64 x (pow.f64 y #s(literal 4 binary64))))
(sqrt.f64 (*.f64 (pow.f64 y #s(literal 8 binary64)) (pow.f64 x #s(literal 2 binary64))))
(log.f64 (pow.f64 (exp.f64 (pow.f64 y #s(literal 4 binary64))) x))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (pow.f64 y #s(literal 4 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 x (pow.f64 y #s(literal 4 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 x (pow.f64 y #s(literal 4 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 x (pow.f64 y #s(literal 4 binary64)))))
(exp.f64 (log.f64 (*.f64 x (pow.f64 y #s(literal 4 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (pow.f64 y #s(literal 4 binary64)))) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) x)
(-.f64 #s(literal 0 binary64) x)
(-.f64 (exp.f64 (log1p.f64 x)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) x)
(*.f64 x #s(literal 1 binary64))
(*.f64 x #s(literal -1 binary64))
(*.f64 (cbrt.f64 x) (cbrt.f64 (pow.f64 x #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 x #s(literal 2 binary64))) (cbrt.f64 x))
(*.f64 (cbrt.f64 (pow.f64 x #s(literal 2 binary64))) (neg.f64 (cbrt.f64 x)))
(*.f64 (sqrt.f64 x) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x)))
(*.f64 #s(literal -1 binary64) x)
(*.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (neg.f64 (cbrt.f64 (pow.f64 x #s(literal 2 binary64)))) (cbrt.f64 x))
(*.f64 (*.f64 #s(literal -1 binary64) (cbrt.f64 (pow.f64 x #s(literal 2 binary64)))) (cbrt.f64 x))
(*.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) x))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 2 binary64))) x)
(pow.f64 x #s(literal 1 binary64))
(pow.f64 (cbrt.f64 x) #s(literal 3 binary64))
(pow.f64 (sqrt.f64 x) #s(literal 2 binary64))
(pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (pow.f64 x #s(literal 2 binary64)))
(log.f64 (exp.f64 x))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)))
(cbrt.f64 (pow.f64 x #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 x))
(log1p.f64 (expm1.f64 x))
(exp.f64 (log.f64 x))
(exp.f64 (*.f64 (log.f64 x) #s(literal 1 binary64)))
Outputs
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) y))
(fma.f64 #s(literal 1/3 binary64) y #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -1/9 binary64) y))))
(+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1/3 binary64) (*.f64 y #s(literal -1/9 binary64)))))
(fma.f64 y (fma.f64 y #s(literal -1/9 binary64) #s(literal 1/3 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1/3 binary64) (*.f64 y (-.f64 (*.f64 #s(literal 5/81 binary64) y) #s(literal 1/9 binary64))))))
(+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1/3 binary64) (*.f64 y (fma.f64 #s(literal 5/81 binary64) y #s(literal -1/9 binary64))))))
(fma.f64 y (fma.f64 y (fma.f64 y #s(literal 5/81 binary64) #s(literal -1/9 binary64)) #s(literal 1/3 binary64)) #s(literal 1 binary64))
(cbrt.f64 y)
(*.f64 y (+.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))))))
(*.f64 y (fma.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))))
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#s(literal 1 binary64)
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eval142.0ms (2.4%)

Compiler

Compiled 12394 to 2546 computations (79.5% saved)

prune101.0ms (1.7%)

Pruning

10 alts after pruning (1 fresh and 9 done)

PrunedKeptTotal
New6761677
Fresh000
Picked123
Done077
Total67710687
Accuracy
100.0%
Counts
687 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
30.5%
(/.f64 (*.f64 (neg.f64 x) (pow.f64 y #s(literal 4 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) y))))
73.0%
(*.f64 (*.f64 y y) (-.f64 (/.f64 x y) x))
37.2%
(*.f64 (*.f64 x y) (pow.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) #s(literal 3/2 binary64)))
60.9%
(*.f64 (*.f64 x y) (pow.f64 (neg.f64 (cbrt.f64 y)) #s(literal 3 binary64)))
99.9%
(*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y))
30.4%
(*.f64 (*.f64 x y) (*.f64 (sqrt.f64 y) (neg.f64 (sqrt.f64 y))))
61.3%
(*.f64 (*.f64 x y) (neg.f64 y))
90.8%
(*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y)))
52.2%
(*.f64 x (*.f64 y (neg.f64 y)))
53.6%
(*.f64 x y)
Compiler

Compiled 282 to 131 computations (53.5% saved)

regimes19.0ms (0.3%)

Counts
18 → 1
Calls
Call 1
Inputs
(*.f64 x y)
(*.f64 x (*.f64 y (neg.f64 y)))
(*.f64 (*.f64 x y) (neg.f64 y))
(*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y)))
(*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y))
(*.f64 (*.f64 y y) (-.f64 (/.f64 x y) x))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (/.f64 x y) x))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 x y)))
(/.f64 (*.f64 (neg.f64 x) (pow.f64 y #s(literal 4 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) y))))
(/.f64 (*.f64 x (-.f64 y (pow.f64 y #s(literal 4 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) y))))
(*.f64 (*.f64 x y) (pow.f64 (neg.f64 (cbrt.f64 y)) #s(literal 3 binary64)))
(*.f64 (*.f64 x y) (*.f64 (sqrt.f64 y) (neg.f64 (sqrt.f64 y))))
(*.f64 (*.f64 x y) (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) y)) #s(literal 3 binary64)))
(/.f64 (*.f64 x (+.f64 y (neg.f64 (pow.f64 y #s(literal 4 binary64))))) (fma.f64 y (+.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (*.f64 x y) (pow.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) #s(literal 3/2 binary64)))
(*.f64 (*.f64 x y) (fma.f64 (sqrt.f64 y) (neg.f64 (sqrt.f64 y)) #s(literal 1 binary64)))
(*.f64 (*.f64 x y) (pow.f64 (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)) #s(literal 3/2 binary64)))
(*.f64 (*.f64 x y) (*.f64 (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)) (cbrt.f64 (-.f64 #s(literal 1 binary64) y))))
Outputs
(*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y))
Calls

3 calls:

7.0ms
y
6.0ms
x
5.0ms
(*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y))
Results
AccuracySegmentsBranch
99.9%1x
99.9%1y
99.9%1(*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y))
Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes5.0ms (0.1%)

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

2 calls:

2.0ms
x
2.0ms
y
Results
AccuracySegmentsBranch
95.5%2x
99.9%3y
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes2.0ms (0%)

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

1 calls:

2.0ms
y
Results
AccuracySegmentsBranch
97.1%3y
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes5.0ms (0.1%)

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

2 calls:

3.0ms
y
2.0ms
x
Results
AccuracySegmentsBranch
59.6%2x
88.0%3y
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

2 calls:

1.0ms
y
1.0ms
x
Results
AccuracySegmentsBranch
53.6%1x
53.6%1y
Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch23.0ms (0.4%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
10.0ms
3.572595193104931e+53
3.89527180907855e+57
11.0ms
-4.0532719356744003e+30
-7.6504235781417276e+25
Results
12.0ms256×0valid
Compiler

Compiled 318 to 218 computations (31.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-mult: 4.0ms (70.6% of total)
ival-sub: 1.0ms (17.7% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch39.0ms (0.7%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
26.0ms
1.2371888277259203e-14
2.1578816631623123
11.0ms
-8503.416702652554
-0.20909826249555322
Results
15.0ms288×0valid
Compiler

Compiled 284 to 190 computations (33.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-mult: 5.0ms (63.7% of total)
ival-sub: 3.0ms (38.2% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch27.0ms (0.5%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
14.0ms
1.2371888277259203e-14
2.1578816631623123
11.0ms
-8503.416702652554
-0.20909826249555322
Results
16.0ms288×0valid
Compiler

Compiled 284 to 190 computations (33.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-mult: 4.0ms (63.1% of total)
ival-sub: 1.0ms (15.8% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

simplify8.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
034266
162266
277266
396266
4104266
5108266
6109266
Stop Event
saturated
Calls
Call 1
Inputs
(*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y))
(if (<=.f64 y #s(literal -4600000000000000116098334720 binary64)) (*.f64 (*.f64 x y) (neg.f64 y)) (if (<=.f64 y #s(literal 3199999999999999978307035757957209524677467014221004800 binary64)) (*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y))) (*.f64 (*.f64 x y) (neg.f64 y))))
(if (<=.f64 y #s(literal -1 binary64)) (*.f64 (*.f64 x y) (neg.f64 y)) (if (<=.f64 y #s(literal 1 binary64)) (*.f64 x y) (*.f64 (*.f64 x y) (neg.f64 y))))
(if (<=.f64 y #s(literal -1 binary64)) (*.f64 x (*.f64 y (neg.f64 y))) (if (<=.f64 y #s(literal 1 binary64)) (*.f64 x y) (*.f64 x (*.f64 y (neg.f64 y)))))
(*.f64 x y)
Outputs
(*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y))
(if (<=.f64 y #s(literal -4600000000000000116098334720 binary64)) (*.f64 (*.f64 x y) (neg.f64 y)) (if (<=.f64 y #s(literal 3199999999999999978307035757957209524677467014221004800 binary64)) (*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y))) (*.f64 (*.f64 x y) (neg.f64 y))))
(if (or (<=.f64 y #s(literal -4600000000000000116098334720 binary64)) (not (<=.f64 y #s(literal 3199999999999999978307035757957209524677467014221004800 binary64)))) (*.f64 (*.f64 x y) (neg.f64 y)) (*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y))))
(if (or (<=.f64 y #s(literal -4600000000000000116098334720 binary64)) (not (<=.f64 y #s(literal 3199999999999999978307035757957209524677467014221004800 binary64)))) (*.f64 y (*.f64 x (neg.f64 y))) (*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y))))
(if (or (<=.f64 y #s(literal -4600000000000000116098334720 binary64)) (not (<=.f64 y #s(literal 3199999999999999978307035757957209524677467014221004800 binary64)))) (*.f64 y (*.f64 y (neg.f64 x))) (*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y))))
(if (<=.f64 y #s(literal -1 binary64)) (*.f64 (*.f64 x y) (neg.f64 y)) (if (<=.f64 y #s(literal 1 binary64)) (*.f64 x y) (*.f64 (*.f64 x y) (neg.f64 y))))
(if (or (<=.f64 y #s(literal -1 binary64)) (not (<=.f64 y #s(literal 1 binary64)))) (*.f64 (*.f64 x y) (neg.f64 y)) (*.f64 x y))
(if (or (<=.f64 y #s(literal -1 binary64)) (not (<=.f64 y #s(literal 1 binary64)))) (*.f64 y (*.f64 x (neg.f64 y))) (*.f64 x y))
(if (or (<=.f64 y #s(literal -1 binary64)) (not (<=.f64 y #s(literal 1 binary64)))) (*.f64 y (*.f64 y (neg.f64 x))) (*.f64 x y))
(if (<=.f64 y #s(literal -1 binary64)) (*.f64 x (*.f64 y (neg.f64 y))) (if (<=.f64 y #s(literal 1 binary64)) (*.f64 x y) (*.f64 x (*.f64 y (neg.f64 y)))))
(if (or (<=.f64 y #s(literal -1 binary64)) (not (<=.f64 y #s(literal 1 binary64)))) (*.f64 x (*.f64 y (neg.f64 y))) (*.f64 x y))
(*.f64 x y)

soundness349.0ms (6%)

Rules
607×exp-prod
419×cube-prod
407×fma-neg
383×fabs-mul
359×prod-exp
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
024220
169204
2234196
3802195
41698195
52449195
62693195
72694195
82694195
03968277
17967271
220947230
357537199
Stop Event
fuel
node limit
saturated
Compiler

Compiled 101 to 44 computations (56.4% saved)

preprocess67.0ms (1.1%)

Remove

(negabs x)

Compiler

Compiled 302 to 164 computations (45.7% saved)

end0.0ms (0%)

Profiling

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